TSTP Solution File: ALG024+1 by Princess---230619
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%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : ALG024+1 : TPTP v8.1.2. Released v2.7.0.
% Transfm : none
% Format : tptp
% Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% Computer : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 30 16:35:40 EDT 2023
% Result : Unsatisfiable 33.61s 5.16s
% Output : Proof 177.80s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : ALG024+1 : TPTP v8.1.2. Released v2.7.0.
% 0.11/0.11 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.11/0.30 % Computer : n011.cluster.edu
% 0.11/0.30 % Model : x86_64 x86_64
% 0.11/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.30 % Memory : 8042.1875MB
% 0.11/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.30 % CPULimit : 300
% 0.11/0.30 % WCLimit : 300
% 0.11/0.30 % DateTime : Mon Aug 28 02:44:55 EDT 2023
% 0.11/0.30 % CPUTime :
% 0.16/0.57 ________ _____
% 0.16/0.57 ___ __ \_________(_)________________________________
% 0.16/0.57 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/
% 0.16/0.57 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ )
% 0.16/0.57 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/
% 0.16/0.57
% 0.16/0.57 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.16/0.57 (2023-06-19)
% 0.16/0.57
% 0.16/0.57 (c) Philipp Rümmer, 2009-2023
% 0.16/0.57 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.16/0.57 Amanda Stjerna.
% 0.16/0.57 Free software under BSD-3-Clause.
% 0.16/0.57
% 0.16/0.57 For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.16/0.57
% 0.16/0.57 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.16/0.58 Running up to 7 provers in parallel.
% 0.16/0.59 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.16/0.59 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.16/0.59 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.16/0.59 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.16/0.59 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.16/0.59 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 0.16/0.59 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 4.07/1.32 Prover 4: Preprocessing ...
% 4.07/1.32 Prover 1: Preprocessing ...
% 4.65/1.36 Prover 0: Preprocessing ...
% 4.65/1.36 Prover 2: Preprocessing ...
% 4.65/1.36 Prover 5: Preprocessing ...
% 4.65/1.36 Prover 6: Preprocessing ...
% 4.65/1.36 Prover 3: Preprocessing ...
% 8.34/1.87 Prover 3: Constructing countermodel ...
% 8.34/1.88 Prover 6: Constructing countermodel ...
% 8.34/1.88 Prover 2: Constructing countermodel ...
% 8.90/1.89 Prover 0: Constructing countermodel ...
% 8.90/1.91 Prover 4: Constructing countermodel ...
% 8.90/1.91 Prover 1: Constructing countermodel ...
% 12.60/2.42 Prover 5: Constructing countermodel ...
% 32.91/5.15 Prover 5: proved (4551ms)
% 32.91/5.15
% 33.61/5.16 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 33.61/5.16
% 33.61/5.16 Prover 0: stopped
% 33.61/5.16 Prover 3: stopped
% 33.61/5.18 Prover 2: stopped
% 33.61/5.20 Prover 6: stopped
% 34.16/5.22 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 34.16/5.22 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 34.16/5.22 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 34.16/5.22 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 34.16/5.22 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 34.98/5.35 Prover 7: Preprocessing ...
% 35.53/5.44 Prover 13: Preprocessing ...
% 35.53/5.44 Prover 8: Preprocessing ...
% 35.53/5.44 Prover 11: Preprocessing ...
% 35.53/5.46 Prover 10: Preprocessing ...
% 36.51/5.56 Prover 8: Constructing countermodel ...
% 36.51/5.57 Prover 7: Constructing countermodel ...
% 36.51/5.60 Prover 10: Constructing countermodel ...
% 36.51/5.61 Prover 11: Constructing countermodel ...
% 36.51/5.61 Prover 13: Constructing countermodel ...
% 72.04/10.24 Prover 13: stopped
% 72.04/10.25 Prover 16: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=completeFrugal -randomSeed=-2043353683
% 72.82/10.32 Prover 16: Preprocessing ...
% 74.06/10.46 Prover 16: Constructing countermodel ...
% 114.11/15.76 Prover 16: stopped
% 114.11/15.76 Prover 19: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=-1780594085
% 115.06/15.85 Prover 19: Preprocessing ...
% 115.06/15.93 Prover 1: stopped
% 115.06/15.96 Prover 19: Constructing countermodel ...
% 140.86/19.51 Prover 19: stopped
% 165.40/24.11 Prover 11: Found proof (size 61606)
% 165.40/24.11 Prover 11: proved (18899ms)
% 165.40/24.11 Prover 7: stopped
% 165.40/24.11 Prover 4: stopped
% 165.40/24.11 Prover 8: stopped
% 165.40/24.11 Prover 10: stopped
% 165.40/24.11
% 165.40/24.11 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 165.40/24.11
% 168.41/25.21 % SZS output start Proof for theBenchmark
% 168.68/25.34 Assumptions after simplification:
% 168.68/25.34 ---------------------------------
% 168.68/25.34
% 168.68/25.34 (ax1)
% 168.98/25.39 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 168.98/25.39 ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8:
% 168.98/25.39 $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13:
% 168.98/25.39 $i] : ? [v14: $i] : ? [v15: $i] : (op(e3, e3) = v15 & op(e3, e2) = v14 &
% 168.98/25.39 op(e3, e1) = v13 & op(e3, e0) = v12 & op(e2, e3) = v11 & op(e2, e2) = v10 &
% 168.98/25.39 op(e2, e1) = v9 & op(e2, e0) = v8 & op(e1, e3) = v7 & op(e1, e2) = v6 &
% 168.98/25.39 op(e1, e1) = v5 & op(e1, e0) = v4 & op(e0, e3) = v3 & op(e0, e2) = v2 &
% 168.98/25.39 op(e0, e1) = v1 & op(e0, e0) = v0 & $i(v15) & $i(v14) & $i(v13) & $i(v12) &
% 168.98/25.39 $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) &
% 168.98/25.39 $i(v3) & $i(v2) & $i(v1) & $i(v0) & (v15 = e3 | v15 = e2 | v15 = e1 | v15 =
% 168.98/25.39 e0) & (v14 = e3 | v14 = e2 | v14 = e1 | v14 = e0) & (v13 = e3 | v13 = e2 |
% 168.98/25.39 v13 = e1 | v13 = e0) & (v12 = e3 | v12 = e2 | v12 = e1 | v12 = e0) & (v11
% 168.98/25.39 = e3 | v11 = e2 | v11 = e1 | v11 = e0) & (v10 = e3 | v10 = e2 | v10 = e1 |
% 168.98/25.39 v10 = e0) & (v9 = e3 | v9 = e2 | v9 = e1 | v9 = e0) & (v8 = e3 | v8 = e2 |
% 168.98/25.39 v8 = e1 | v8 = e0) & (v7 = e3 | v7 = e2 | v7 = e1 | v7 = e0) & (v6 = e3 |
% 168.98/25.39 v6 = e2 | v6 = e1 | v6 = e0) & (v5 = e3 | v5 = e2 | v5 = e1 | v5 = e0) &
% 168.98/25.39 (v4 = e3 | v4 = e2 | v4 = e1 | v4 = e0) & (v3 = e3 | v3 = e2 | v3 = e1 | v3
% 168.98/25.39 = e0) & (v2 = e3 | v2 = e2 | v2 = e1 | v2 = e0) & (v1 = e3 | v1 = e2 | v1
% 168.98/25.39 = e1 | v1 = e0) & (v0 = e3 | v0 = e2 | v0 = e1 | v0 = e0))
% 168.98/25.39
% 168.98/25.39 (ax10)
% 168.98/25.39 ~ (e3 = e2) & ~ (e3 = e1) & ~ (e3 = e0) & ~ (e2 = e1) & ~ (e2 = e0) & ~
% 168.98/25.39 (e1 = e0) & $i(e3) & $i(e2) & $i(e1) & $i(e0)
% 168.98/25.39
% 168.98/25.39 (ax11)
% 168.98/25.40 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 168.98/25.40 ? [v3: $i] : ((( ~ (v3 = e3) & op(e3, e3) = v3 & $i(v3)) | ( ~ (v2 = e3) &
% 168.98/25.40 op(e2, e2) = v2 & $i(v2)) | ( ~ (v1 = e3) & op(e1, e1) = v1 & $i(v1)) |
% 168.98/25.40 ( ~ (v0 = e3) & op(e0, e0) = v0 & $i(v0))) & (( ~ (v3 = e2) & op(e3, e3) =
% 168.98/25.40 v3 & $i(v3)) | ( ~ (v2 = e2) & op(e2, e2) = v2 & $i(v2)) | ( ~ (v1 = e2)
% 168.98/25.40 & op(e1, e1) = v1 & $i(v1)) | ( ~ (v0 = e2) & op(e0, e0) = v0 & $i(v0)))
% 168.98/25.40 & (( ~ (v3 = e1) & op(e3, e3) = v3 & $i(v3)) | ( ~ (v2 = e1) & op(e2, e2) =
% 168.98/25.40 v2 & $i(v2)) | ( ~ (v1 = e1) & op(e1, e1) = v1 & $i(v1)) | ( ~ (v0 = e1)
% 168.98/25.40 & op(e0, e0) = v0 & $i(v0))) & (( ~ (v3 = e0) & op(e3, e3) = v3 &
% 168.98/25.40 $i(v3)) | ( ~ (v2 = e0) & op(e2, e2) = v2 & $i(v2)) | ( ~ (v1 = e0) &
% 168.98/25.40 op(e1, e1) = v1 & $i(v1)) | ( ~ (v0 = e0) & op(e0, e0) = v0 & $i(v0))))
% 168.98/25.40
% 168.98/25.40 (ax12)
% 168.98/25.40 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 168.98/25.40 (op(e2, e2) = v0 & $i(v0) & ( ~ (v0 = e3) | (op(e2, e3) = v1 & $i(v1) & ( ~
% 168.98/25.40 (v1 = e1) | ( ~ (v2 = e0) & op(e1, e2) = v2 & $i(v2))))))
% 168.98/25.40
% 168.98/25.40 (ax13)
% 168.98/25.40 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 168.98/25.40 (op(e3, e3) = v0 & $i(v0) & ( ~ (v0 = e2) | (op(e3, e2) = v1 & $i(v1) & ( ~
% 168.98/25.40 (v1 = e1) | ( ~ (v2 = e0) & op(e1, e3) = v2 & $i(v2))))))
% 168.98/25.40
% 168.98/25.40 (ax14)
% 168.98/25.40 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 168.98/25.40 (op(e1, e1) = v0 & $i(v0) & ( ~ (v0 = e3) | (op(e1, e3) = v1 & $i(v1) & ( ~
% 168.98/25.40 (v1 = e2) | ( ~ (v2 = e0) & op(e2, e1) = v2 & $i(v2))))))
% 168.98/25.40
% 168.98/25.40 (ax15)
% 168.98/25.41 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 168.98/25.41 (op(e3, e3) = v0 & $i(v0) & ( ~ (v0 = e1) | (op(e3, e1) = v1 & $i(v1) & ( ~
% 168.98/25.41 (v1 = e2) | ( ~ (v2 = e0) & op(e2, e3) = v2 & $i(v2))))))
% 168.98/25.41
% 168.98/25.41 (ax16)
% 168.98/25.41 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 168.98/25.41 (op(e1, e1) = v0 & $i(v0) & ( ~ (v0 = e2) | (op(e1, e2) = v1 & $i(v1) & ( ~
% 168.98/25.41 (v1 = e3) | ( ~ (v2 = e0) & op(e3, e1) = v2 & $i(v2))))))
% 168.98/25.41
% 168.98/25.41 (ax17)
% 168.98/25.41 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 168.98/25.41 (op(e2, e2) = v0 & $i(v0) & ( ~ (v0 = e1) | (op(e2, e1) = v1 & $i(v1) & ( ~
% 168.98/25.41 (v1 = e3) | ( ~ (v2 = e0) & op(e3, e2) = v2 & $i(v2))))))
% 168.98/25.41
% 168.98/25.41 (ax18)
% 168.98/25.41 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 168.98/25.41 (op(e2, e2) = v0 & $i(v0) & ( ~ (v0 = e3) | (op(e2, e3) = v1 & $i(v1) & ( ~
% 168.98/25.41 (v1 = e0) | ( ~ (v2 = e1) & op(e0, e2) = v2 & $i(v2))))))
% 168.98/25.41
% 168.98/25.41 (ax19)
% 168.98/25.41 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 168.98/25.41 (op(e3, e3) = v0 & $i(v0) & ( ~ (v0 = e2) | (op(e3, e2) = v1 & $i(v1) & ( ~
% 168.98/25.41 (v1 = e0) | ( ~ (v2 = e1) & op(e0, e3) = v2 & $i(v2))))))
% 168.98/25.41
% 168.98/25.41 (ax2)
% 169.22/25.43 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 169.22/25.43 ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8:
% 169.22/25.43 $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13:
% 169.22/25.43 $i] : ? [v14: $i] : ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ? [v18:
% 169.22/25.43 $i] : ? [v19: $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: $i] : ? [v23:
% 169.22/25.43 $i] : ? [v24: $i] : ? [v25: $i] : ? [v26: $i] : ? [v27: $i] : ? [v28:
% 169.22/25.43 $i] : ? [v29: $i] : ? [v30: $i] : ? [v31: $i] : ? [v32: $i] : ? [v33:
% 169.22/25.43 $i] : ? [v34: $i] : ? [v35: $i] : ? [v36: $i] : ? [v37: $i] : ? [v38:
% 169.22/25.43 $i] : ? [v39: $i] : ? [v40: $i] : ? [v41: $i] : ? [v42: $i] : ? [v43:
% 169.22/25.43 $i] : ? [v44: $i] : ? [v45: $i] : ? [v46: $i] : ? [v47: $i] : ? [v48:
% 169.22/25.43 $i] : ? [v49: $i] : ? [v50: $i] : ? [v51: $i] : ? [v52: $i] : ? [v53:
% 169.22/25.43 $i] : ? [v54: $i] : ? [v55: $i] : ? [v56: $i] : ? [v57: $i] : ? [v58:
% 169.22/25.43 $i] : ? [v59: $i] : ? [v60: $i] : ? [v61: $i] : ? [v62: $i] : ? [v63:
% 169.22/25.43 $i] : ? [v64: $i] : ? [v65: $i] : ? [v66: $i] : ? [v67: $i] : ? [v68:
% 169.22/25.43 $i] : ? [v69: $i] : ? [v70: $i] : ? [v71: $i] : ? [v72: $i] : ? [v73:
% 169.22/25.43 $i] : ? [v74: $i] : ? [v75: $i] : ? [v76: $i] : ? [v77: $i] : ? [v78:
% 169.22/25.43 $i] : ? [v79: $i] : (op(v31, e3) = v79 & op(v31, e2) = v78 & op(v31, e1) =
% 169.22/25.43 v77 & op(v31, e0) = v76 & op(v29, e3) = v75 & op(v29, e2) = v74 & op(v29,
% 169.22/25.43 e1) = v73 & op(v29, e0) = v72 & op(v27, e3) = v71 & op(v27, e2) = v70 &
% 169.22/25.43 op(v27, e1) = v69 & op(v27, e0) = v68 & op(v25, e3) = v67 & op(v25, e2) =
% 169.22/25.43 v66 & op(v25, e1) = v65 & op(v25, e0) = v64 & op(v23, e3) = v63 & op(v23,
% 169.22/25.43 e2) = v62 & op(v23, e1) = v61 & op(v23, e0) = v60 & op(v21, e3) = v59 &
% 169.22/25.43 op(v21, e2) = v58 & op(v21, e1) = v57 & op(v21, e0) = v56 & op(v19, e3) =
% 169.22/25.43 v55 & op(v19, e2) = v54 & op(v19, e1) = v53 & op(v19, e0) = v52 & op(v17,
% 169.22/25.43 e3) = v51 & op(v17, e2) = v50 & op(v17, e1) = v49 & op(v17, e0) = v48 &
% 169.22/25.43 op(v15, e3) = v47 & op(v15, e2) = v46 & op(v15, e1) = v45 & op(v15, e0) =
% 169.22/25.43 v44 & op(v13, e3) = v43 & op(v13, e2) = v42 & op(v13, e1) = v41 & op(v13,
% 169.22/25.43 e0) = v40 & op(v11, e3) = v39 & op(v11, e2) = v38 & op(v11, e1) = v37 &
% 169.22/25.43 op(v11, e0) = v36 & op(v9, e3) = v35 & op(v9, e2) = v34 & op(v9, e1) = v33 &
% 169.22/25.43 op(v9, e0) = v32 & op(v7, e3) = v30 & op(v7, e2) = v28 & op(v7, e1) = v26 &
% 169.22/25.43 op(v7, e0) = v24 & op(v5, e3) = v22 & op(v5, e2) = v20 & op(v5, e1) = v18 &
% 169.22/25.43 op(v5, e0) = v16 & op(v3, e3) = v14 & op(v3, e2) = v12 & op(v3, e1) = v10 &
% 169.22/25.43 op(v3, e0) = v8 & op(v0, e3) = v6 & op(v0, e2) = v4 & op(v0, e1) = v2 &
% 169.22/25.43 op(v0, e0) = v1 & op(e3, v31) = v79 & op(e3, v29) = v78 & op(e3, v27) = v77
% 169.22/25.43 & op(e3, v25) = v76 & op(e3, v23) = v75 & op(e3, v21) = v74 & op(e3, v19) =
% 169.22/25.43 v73 & op(e3, v17) = v72 & op(e3, v15) = v71 & op(e3, v13) = v70 & op(e3,
% 169.22/25.43 v11) = v69 & op(e3, v9) = v68 & op(e3, v7) = v67 & op(e3, v5) = v66 &
% 169.22/25.43 op(e3, v3) = v65 & op(e3, v0) = v64 & op(e3, e3) = v31 & op(e3, e2) = v29 &
% 169.22/25.43 op(e3, e1) = v27 & op(e3, e0) = v25 & op(e2, v31) = v63 & op(e2, v29) = v62
% 169.22/25.43 & op(e2, v27) = v61 & op(e2, v25) = v60 & op(e2, v23) = v59 & op(e2, v21) =
% 169.22/25.43 v58 & op(e2, v19) = v57 & op(e2, v17) = v56 & op(e2, v15) = v55 & op(e2,
% 169.22/25.43 v13) = v54 & op(e2, v11) = v53 & op(e2, v9) = v52 & op(e2, v7) = v51 &
% 169.22/25.43 op(e2, v5) = v50 & op(e2, v3) = v49 & op(e2, v0) = v48 & op(e2, e3) = v23 &
% 169.22/25.43 op(e2, e2) = v21 & op(e2, e1) = v19 & op(e2, e0) = v17 & op(e1, v31) = v47 &
% 169.22/25.43 op(e1, v29) = v46 & op(e1, v27) = v45 & op(e1, v25) = v44 & op(e1, v23) =
% 169.22/25.43 v43 & op(e1, v21) = v42 & op(e1, v19) = v41 & op(e1, v17) = v40 & op(e1,
% 169.22/25.43 v15) = v39 & op(e1, v13) = v38 & op(e1, v11) = v37 & op(e1, v9) = v36 &
% 169.22/25.43 op(e1, v7) = v35 & op(e1, v5) = v34 & op(e1, v3) = v33 & op(e1, v0) = v32 &
% 169.22/25.43 op(e1, e3) = v15 & op(e1, e2) = v13 & op(e1, e1) = v11 & op(e1, e0) = v9 &
% 169.22/25.43 op(e0, v31) = v30 & op(e0, v29) = v28 & op(e0, v27) = v26 & op(e0, v25) =
% 169.22/25.43 v24 & op(e0, v23) = v22 & op(e0, v21) = v20 & op(e0, v19) = v18 & op(e0,
% 169.22/25.43 v17) = v16 & op(e0, v15) = v14 & op(e0, v13) = v12 & op(e0, v11) = v10 &
% 169.22/25.43 op(e0, v9) = v8 & op(e0, v7) = v6 & op(e0, v5) = v4 & op(e0, v3) = v2 &
% 169.22/25.43 op(e0, v0) = v1 & op(e0, e3) = v7 & op(e0, e2) = v5 & op(e0, e1) = v3 &
% 169.22/25.43 op(e0, e0) = v0 & $i(v79) & $i(v78) & $i(v77) & $i(v76) & $i(v75) & $i(v74)
% 169.22/25.43 & $i(v73) & $i(v72) & $i(v71) & $i(v70) & $i(v69) & $i(v68) & $i(v67) &
% 169.22/25.43 $i(v66) & $i(v65) & $i(v64) & $i(v63) & $i(v62) & $i(v61) & $i(v60) &
% 169.22/25.43 $i(v59) & $i(v58) & $i(v57) & $i(v56) & $i(v55) & $i(v54) & $i(v53) &
% 169.22/25.43 $i(v52) & $i(v51) & $i(v50) & $i(v49) & $i(v48) & $i(v47) & $i(v46) &
% 169.22/25.43 $i(v45) & $i(v44) & $i(v43) & $i(v42) & $i(v41) & $i(v40) & $i(v39) &
% 169.22/25.43 $i(v38) & $i(v37) & $i(v36) & $i(v35) & $i(v34) & $i(v33) & $i(v32) &
% 169.22/25.43 $i(v31) & $i(v30) & $i(v29) & $i(v28) & $i(v27) & $i(v26) & $i(v25) &
% 169.22/25.43 $i(v24) & $i(v23) & $i(v22) & $i(v21) & $i(v20) & $i(v19) & $i(v18) &
% 169.22/25.43 $i(v17) & $i(v16) & $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11) &
% 169.22/25.43 $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) &
% 169.22/25.43 $i(v2) & $i(v1) & $i(v0))
% 169.22/25.43
% 169.22/25.43 (ax20)
% 169.22/25.43 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 169.22/25.43 (op(e0, e0) = v0 & $i(v0) & ( ~ (v0 = e3) | (op(e0, e3) = v1 & $i(v1) & ( ~
% 169.22/25.43 (v1 = e2) | ( ~ (v2 = e1) & op(e2, e0) = v2 & $i(v2))))))
% 169.22/25.43
% 169.22/25.43 (ax21)
% 169.22/25.43 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 169.22/25.43 (op(e3, e3) = v0 & $i(v0) & ( ~ (v0 = e0) | (op(e3, e0) = v1 & $i(v1) & ( ~
% 169.22/25.43 (v1 = e2) | ( ~ (v2 = e1) & op(e2, e3) = v2 & $i(v2))))))
% 169.22/25.43
% 169.22/25.43 (ax22)
% 169.22/25.44 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 169.22/25.44 (op(e0, e0) = v0 & $i(v0) & ( ~ (v0 = e2) | (op(e0, e2) = v1 & $i(v1) & ( ~
% 169.22/25.44 (v1 = e3) | ( ~ (v2 = e1) & op(e3, e0) = v2 & $i(v2))))))
% 169.22/25.44
% 169.22/25.44 (ax23)
% 169.22/25.44 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 169.22/25.44 (op(e2, e2) = v0 & $i(v0) & ( ~ (v0 = e0) | (op(e2, e0) = v1 & $i(v1) & ( ~
% 169.22/25.44 (v1 = e3) | ( ~ (v2 = e1) & op(e3, e2) = v2 & $i(v2))))))
% 169.22/25.44
% 169.22/25.44 (ax24)
% 169.22/25.44 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 169.22/25.44 (op(e1, e1) = v0 & $i(v0) & ( ~ (v0 = e3) | (op(e1, e3) = v1 & $i(v1) & ( ~
% 169.22/25.44 (v1 = e0) | ( ~ (v2 = e2) & op(e0, e1) = v2 & $i(v2))))))
% 169.22/25.44
% 169.22/25.44 (ax25)
% 169.22/25.44 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 169.22/25.44 (op(e3, e3) = v0 & $i(v0) & ( ~ (v0 = e1) | (op(e3, e1) = v1 & $i(v1) & ( ~
% 169.22/25.44 (v1 = e0) | ( ~ (v2 = e2) & op(e0, e3) = v2 & $i(v2))))))
% 169.22/25.44
% 169.22/25.44 (ax26)
% 169.22/25.44 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 169.22/25.44 (op(e0, e0) = v0 & $i(v0) & ( ~ (v0 = e3) | (op(e0, e3) = v1 & $i(v1) & ( ~
% 169.22/25.44 (v1 = e1) | ( ~ (v2 = e2) & op(e1, e0) = v2 & $i(v2))))))
% 169.22/25.44
% 169.22/25.44 (ax27)
% 169.22/25.44 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 169.22/25.44 (op(e3, e3) = v0 & $i(v0) & ( ~ (v0 = e0) | (op(e3, e0) = v1 & $i(v1) & ( ~
% 169.22/25.44 (v1 = e1) | ( ~ (v2 = e2) & op(e1, e3) = v2 & $i(v2))))))
% 169.22/25.44
% 169.22/25.44 (ax28)
% 169.22/25.44 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 169.22/25.44 (op(e0, e0) = v0 & $i(v0) & ( ~ (v0 = e1) | (op(e0, e1) = v1 & $i(v1) & ( ~
% 169.22/25.44 (v1 = e3) | ( ~ (v2 = e2) & op(e3, e0) = v2 & $i(v2))))))
% 169.22/25.44
% 169.22/25.44 (ax29)
% 169.34/25.44 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 169.34/25.45 (op(e1, e1) = v0 & $i(v0) & ( ~ (v0 = e0) | (op(e1, e0) = v1 & $i(v1) & ( ~
% 169.34/25.45 (v1 = e3) | ( ~ (v2 = e2) & op(e3, e1) = v2 & $i(v2))))))
% 169.34/25.45
% 169.34/25.45 (ax3)
% 169.34/25.45 op(unit, e3) = e3 & op(unit, e2) = e2 & op(unit, e1) = e1 & op(unit, e0) = e0
% 169.34/25.45 & op(e3, unit) = e3 & op(e2, unit) = e2 & op(e1, unit) = e1 & op(e0, unit) =
% 169.34/25.45 e0 & $i(unit) & $i(e3) & $i(e2) & $i(e1) & $i(e0) & (unit = e3 | unit = e2 |
% 169.34/25.45 unit = e1 | unit = e0)
% 169.34/25.45
% 169.34/25.45 (ax30)
% 169.34/25.45 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 169.34/25.45 (op(e1, e1) = v0 & $i(v0) & ( ~ (v0 = e2) | (op(e1, e2) = v1 & $i(v1) & ( ~
% 169.34/25.45 (v1 = e0) | ( ~ (v2 = e3) & op(e0, e1) = v2 & $i(v2))))))
% 169.34/25.45
% 169.34/25.45 (ax31)
% 169.34/25.45 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 169.34/25.45 (op(e2, e2) = v0 & $i(v0) & ( ~ (v0 = e1) | (op(e2, e1) = v1 & $i(v1) & ( ~
% 169.34/25.45 (v1 = e0) | ( ~ (v2 = e3) & op(e0, e2) = v2 & $i(v2))))))
% 169.34/25.45
% 169.34/25.45 (ax32)
% 169.34/25.45 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 169.34/25.45 (op(e0, e0) = v0 & $i(v0) & ( ~ (v0 = e2) | (op(e0, e2) = v1 & $i(v1) & ( ~
% 169.34/25.45 (v1 = e1) | ( ~ (v2 = e3) & op(e1, e0) = v2 & $i(v2))))))
% 169.34/25.45
% 169.34/25.45 (ax33)
% 169.34/25.45 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 169.34/25.45 (op(e2, e2) = v0 & $i(v0) & ( ~ (v0 = e0) | (op(e2, e0) = v1 & $i(v1) & ( ~
% 169.34/25.45 (v1 = e1) | ( ~ (v2 = e3) & op(e1, e2) = v2 & $i(v2))))))
% 169.34/25.45
% 169.34/25.45 (ax34)
% 169.34/25.45 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 169.34/25.45 (op(e0, e0) = v0 & $i(v0) & ( ~ (v0 = e1) | (op(e0, e1) = v1 & $i(v1) & ( ~
% 169.34/25.45 (v1 = e2) | ( ~ (v2 = e3) & op(e2, e0) = v2 & $i(v2))))))
% 169.34/25.45
% 169.34/25.45 (ax35)
% 169.34/25.45 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 169.34/25.45 (op(e1, e1) = v0 & $i(v0) & ( ~ (v0 = e0) | (op(e1, e0) = v1 & $i(v1) & ( ~
% 169.34/25.45 (v1 = e2) | ( ~ (v2 = e3) & op(e2, e1) = v2 & $i(v2))))))
% 169.34/25.45
% 169.34/25.45 (ax4)
% 169.34/25.46 $i(unit) & $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ?
% 169.34/25.46 [v2: $i] : ? [v3: $i] : (inv(e3) = v3 & inv(e2) = v2 & inv(e1) = v1 & inv(e0)
% 169.34/25.46 = v0 & op(v3, e3) = unit & op(v2, e2) = unit & op(v1, e1) = unit & op(v0,
% 169.34/25.46 e0) = unit & op(e3, v3) = unit & op(e2, v2) = unit & op(e1, v1) = unit &
% 169.34/25.46 op(e0, v0) = unit & $i(v3) & $i(v2) & $i(v1) & $i(v0) & (v3 = e3 | v3 = e2 |
% 169.34/25.46 v3 = e1 | v3 = e0) & (v2 = e3 | v2 = e2 | v2 = e1 | v2 = e0) & (v1 = e3 |
% 169.34/25.46 v1 = e2 | v1 = e1 | v1 = e0) & (v0 = e3 | v0 = e2 | v0 = e1 | v0 = e0))
% 169.34/25.46
% 169.34/25.46 (ax5)
% 169.34/25.46 inv(unit) = unit & $i(unit)
% 169.34/25.46
% 169.34/25.46 (ax6)
% 169.34/25.46 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 169.34/25.46 ? [v3: $i] : (inv(v3) = e3 & inv(v2) = e2 & inv(v1) = e1 & inv(v0) = e0 &
% 169.34/25.46 inv(e3) = v3 & inv(e2) = v2 & inv(e1) = v1 & inv(e0) = v0 & $i(v3) & $i(v2)
% 169.34/25.46 & $i(v1) & $i(v0))
% 169.34/25.46
% 169.34/25.46 (ax7)
% 169.34/25.46 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 169.34/25.46 ? [v3: $i] : (inv(e3) = v3 & inv(e2) = v2 & inv(e1) = v1 & inv(e0) = v0 &
% 169.34/25.46 $i(v3) & $i(v2) & $i(v1) & $i(v0) & ( ~ (v3 = e2) | v2 = e3) & ( ~ (v3 = e1)
% 169.34/25.46 | v1 = e3) & ( ~ (v3 = e0) | v0 = e3) & ( ~ (v2 = e3) | v3 = e2) & ( ~ (v2
% 169.34/25.46 = e1) | v1 = e2) & ( ~ (v2 = e0) | v0 = e2) & ( ~ (v1 = e3) | v3 = e1) &
% 169.34/25.46 ( ~ (v1 = e2) | v2 = e1) & ( ~ (v1 = e0) | v0 = e1) & ( ~ (v0 = e3) | v3 =
% 169.34/25.46 e0) & ( ~ (v0 = e2) | v2 = e0) & ( ~ (v0 = e1) | v1 = e0))
% 169.34/25.46
% 169.34/25.46 (ax8)
% 169.34/25.46 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 169.34/25.46 ? [v3: $i] : ( ~ (v3 = v2) & ~ (v3 = v1) & ~ (v3 = v0) & ~ (v2 = v1) & ~
% 169.34/25.46 (v2 = v0) & ~ (v1 = v0) & inv(e3) = v3 & inv(e2) = v2 & inv(e1) = v1 &
% 169.34/25.46 inv(e0) = v0 & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 169.34/25.46
% 169.34/25.46 (ax9)
% 169.34/25.47 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 169.34/25.47 ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8:
% 169.34/25.47 $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13:
% 169.34/25.47 $i] : ? [v14: $i] : ? [v15: $i] : ( ~ (v15 = v14) & ~ (v15 = v13) & ~
% 169.34/25.47 (v15 = v12) & ~ (v15 = v11) & ~ (v15 = v7) & ~ (v15 = v3) & ~ (v14 =
% 169.34/25.47 v13) & ~ (v14 = v12) & ~ (v14 = v10) & ~ (v14 = v6) & ~ (v14 = v2) &
% 169.34/25.47 ~ (v13 = v12) & ~ (v13 = v9) & ~ (v13 = v5) & ~ (v13 = v1) & ~ (v12 =
% 169.34/25.47 v8) & ~ (v12 = v4) & ~ (v12 = v0) & ~ (v11 = v10) & ~ (v11 = v9) & ~
% 169.34/25.47 (v11 = v8) & ~ (v11 = v7) & ~ (v11 = v3) & ~ (v10 = v9) & ~ (v10 = v8) &
% 169.34/25.47 ~ (v10 = v6) & ~ (v10 = v2) & ~ (v9 = v8) & ~ (v9 = v5) & ~ (v9 = v1) &
% 169.34/25.47 ~ (v8 = v4) & ~ (v8 = v0) & ~ (v7 = v6) & ~ (v7 = v5) & ~ (v7 = v4) &
% 169.34/25.47 ~ (v7 = v3) & ~ (v6 = v5) & ~ (v6 = v4) & ~ (v6 = v2) & ~ (v5 = v4) & ~
% 169.34/25.47 (v5 = v1) & ~ (v4 = v0) & ~ (v3 = v2) & ~ (v3 = v1) & ~ (v3 = v0) & ~
% 169.34/25.47 (v2 = v1) & ~ (v2 = v0) & ~ (v1 = v0) & op(e3, e3) = v15 & op(e3, e2) =
% 169.34/25.47 v11 & op(e3, e1) = v7 & op(e3, e0) = v3 & op(e2, e3) = v14 & op(e2, e2) =
% 169.34/25.47 v10 & op(e2, e1) = v6 & op(e2, e0) = v2 & op(e1, e3) = v13 & op(e1, e2) = v9
% 169.34/25.47 & op(e1, e1) = v5 & op(e1, e0) = v1 & op(e0, e3) = v12 & op(e0, e2) = v8 &
% 169.34/25.47 op(e0, e1) = v4 & op(e0, e0) = v0 & $i(v15) & $i(v14) & $i(v13) & $i(v12) &
% 169.34/25.47 $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) &
% 169.34/25.47 $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 169.34/25.47
% 169.34/25.47 (function-axioms)
% 169.34/25.47 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (op(v3,
% 169.34/25.47 v2) = v1) | ~ (op(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 169.34/25.47 $i] : (v1 = v0 | ~ (inv(v2) = v1) | ~ (inv(v2) = v0))
% 169.34/25.47
% 169.34/25.47 Those formulas are unsatisfiable:
% 169.34/25.47 ---------------------------------
% 169.34/25.47
% 169.34/25.47 Begin of proof
% 169.34/25.47 |
% 169.34/25.47 | ALPHA: (ax1) implies:
% 169.34/25.48 | (1) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 169.34/25.48 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ?
% 169.34/25.48 | [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: $i] :
% 169.34/25.48 | ? [v15: $i] : (op(e3, e3) = v15 & op(e3, e2) = v14 & op(e3, e1) = v13
% 169.34/25.48 | & op(e3, e0) = v12 & op(e2, e3) = v11 & op(e2, e2) = v10 & op(e2, e1)
% 169.34/25.48 | = v9 & op(e2, e0) = v8 & op(e1, e3) = v7 & op(e1, e2) = v6 & op(e1,
% 169.34/25.48 | e1) = v5 & op(e1, e0) = v4 & op(e0, e3) = v3 & op(e0, e2) = v2 &
% 169.34/25.48 | op(e0, e1) = v1 & op(e0, e0) = v0 & $i(v15) & $i(v14) & $i(v13) &
% 169.34/25.48 | $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) &
% 169.34/25.48 | $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & (v15 = e3 | v15
% 169.34/25.48 | = e2 | v15 = e1 | v15 = e0) & (v14 = e3 | v14 = e2 | v14 = e1 | v14
% 169.34/25.48 | = e0) & (v13 = e3 | v13 = e2 | v13 = e1 | v13 = e0) & (v12 = e3 |
% 169.34/25.48 | v12 = e2 | v12 = e1 | v12 = e0) & (v11 = e3 | v11 = e2 | v11 = e1 |
% 169.34/25.48 | v11 = e0) & (v10 = e3 | v10 = e2 | v10 = e1 | v10 = e0) & (v9 = e3
% 169.34/25.48 | | v9 = e2 | v9 = e1 | v9 = e0) & (v8 = e3 | v8 = e2 | v8 = e1 | v8
% 169.34/25.48 | = e0) & (v7 = e3 | v7 = e2 | v7 = e1 | v7 = e0) & (v6 = e3 | v6 =
% 169.34/25.48 | e2 | v6 = e1 | v6 = e0) & (v5 = e3 | v5 = e2 | v5 = e1 | v5 = e0) &
% 169.34/25.48 | (v4 = e3 | v4 = e2 | v4 = e1 | v4 = e0) & (v3 = e3 | v3 = e2 | v3 =
% 169.34/25.48 | e1 | v3 = e0) & (v2 = e3 | v2 = e2 | v2 = e1 | v2 = e0) & (v1 = e3
% 169.34/25.48 | | v1 = e2 | v1 = e1 | v1 = e0) & (v0 = e3 | v0 = e2 | v0 = e1 | v0
% 169.34/25.48 | = e0))
% 169.34/25.48 |
% 169.34/25.48 | ALPHA: (ax2) implies:
% 169.34/25.50 | (2) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 169.34/25.50 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ?
% 169.34/25.50 | [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: $i] :
% 169.34/25.50 | ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ? [v18: $i] : ? [v19:
% 169.34/25.50 | $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: $i] : ? [v23: $i] : ?
% 169.34/25.50 | [v24: $i] : ? [v25: $i] : ? [v26: $i] : ? [v27: $i] : ? [v28: $i] :
% 169.34/25.50 | ? [v29: $i] : ? [v30: $i] : ? [v31: $i] : ? [v32: $i] : ? [v33:
% 169.34/25.50 | $i] : ? [v34: $i] : ? [v35: $i] : ? [v36: $i] : ? [v37: $i] : ?
% 169.34/25.50 | [v38: $i] : ? [v39: $i] : ? [v40: $i] : ? [v41: $i] : ? [v42: $i] :
% 169.34/25.50 | ? [v43: $i] : ? [v44: $i] : ? [v45: $i] : ? [v46: $i] : ? [v47:
% 169.34/25.50 | $i] : ? [v48: $i] : ? [v49: $i] : ? [v50: $i] : ? [v51: $i] : ?
% 169.34/25.50 | [v52: $i] : ? [v53: $i] : ? [v54: $i] : ? [v55: $i] : ? [v56: $i] :
% 169.34/25.50 | ? [v57: $i] : ? [v58: $i] : ? [v59: $i] : ? [v60: $i] : ? [v61:
% 169.34/25.50 | $i] : ? [v62: $i] : ? [v63: $i] : ? [v64: $i] : ? [v65: $i] : ?
% 169.34/25.50 | [v66: $i] : ? [v67: $i] : ? [v68: $i] : ? [v69: $i] : ? [v70: $i] :
% 169.34/25.50 | ? [v71: $i] : ? [v72: $i] : ? [v73: $i] : ? [v74: $i] : ? [v75:
% 169.34/25.50 | $i] : ? [v76: $i] : ? [v77: $i] : ? [v78: $i] : ? [v79: $i] :
% 169.34/25.50 | (op(v31, e3) = v79 & op(v31, e2) = v78 & op(v31, e1) = v77 & op(v31,
% 169.34/25.50 | e0) = v76 & op(v29, e3) = v75 & op(v29, e2) = v74 & op(v29, e1) =
% 169.34/25.50 | v73 & op(v29, e0) = v72 & op(v27, e3) = v71 & op(v27, e2) = v70 &
% 169.34/25.50 | op(v27, e1) = v69 & op(v27, e0) = v68 & op(v25, e3) = v67 & op(v25,
% 169.34/25.50 | e2) = v66 & op(v25, e1) = v65 & op(v25, e0) = v64 & op(v23, e3) =
% 169.34/25.50 | v63 & op(v23, e2) = v62 & op(v23, e1) = v61 & op(v23, e0) = v60 &
% 169.34/25.50 | op(v21, e3) = v59 & op(v21, e2) = v58 & op(v21, e1) = v57 & op(v21,
% 169.34/25.50 | e0) = v56 & op(v19, e3) = v55 & op(v19, e2) = v54 & op(v19, e1) =
% 169.34/25.50 | v53 & op(v19, e0) = v52 & op(v17, e3) = v51 & op(v17, e2) = v50 &
% 169.34/25.50 | op(v17, e1) = v49 & op(v17, e0) = v48 & op(v15, e3) = v47 & op(v15,
% 169.34/25.50 | e2) = v46 & op(v15, e1) = v45 & op(v15, e0) = v44 & op(v13, e3) =
% 169.34/25.50 | v43 & op(v13, e2) = v42 & op(v13, e1) = v41 & op(v13, e0) = v40 &
% 169.34/25.50 | op(v11, e3) = v39 & op(v11, e2) = v38 & op(v11, e1) = v37 & op(v11,
% 169.34/25.50 | e0) = v36 & op(v9, e3) = v35 & op(v9, e2) = v34 & op(v9, e1) = v33
% 169.34/25.50 | & op(v9, e0) = v32 & op(v7, e3) = v30 & op(v7, e2) = v28 & op(v7, e1)
% 169.34/25.50 | = v26 & op(v7, e0) = v24 & op(v5, e3) = v22 & op(v5, e2) = v20 &
% 169.34/25.50 | op(v5, e1) = v18 & op(v5, e0) = v16 & op(v3, e3) = v14 & op(v3, e2) =
% 169.34/25.50 | v12 & op(v3, e1) = v10 & op(v3, e0) = v8 & op(v0, e3) = v6 & op(v0,
% 169.34/25.50 | e2) = v4 & op(v0, e1) = v2 & op(v0, e0) = v1 & op(e3, v31) = v79 &
% 169.34/25.50 | op(e3, v29) = v78 & op(e3, v27) = v77 & op(e3, v25) = v76 & op(e3,
% 169.34/25.50 | v23) = v75 & op(e3, v21) = v74 & op(e3, v19) = v73 & op(e3, v17) =
% 169.34/25.50 | v72 & op(e3, v15) = v71 & op(e3, v13) = v70 & op(e3, v11) = v69 &
% 169.34/25.50 | op(e3, v9) = v68 & op(e3, v7) = v67 & op(e3, v5) = v66 & op(e3, v3) =
% 169.34/25.50 | v65 & op(e3, v0) = v64 & op(e3, e3) = v31 & op(e3, e2) = v29 & op(e3,
% 169.34/25.50 | e1) = v27 & op(e3, e0) = v25 & op(e2, v31) = v63 & op(e2, v29) =
% 169.34/25.50 | v62 & op(e2, v27) = v61 & op(e2, v25) = v60 & op(e2, v23) = v59 &
% 169.34/25.50 | op(e2, v21) = v58 & op(e2, v19) = v57 & op(e2, v17) = v56 & op(e2,
% 169.34/25.50 | v15) = v55 & op(e2, v13) = v54 & op(e2, v11) = v53 & op(e2, v9) =
% 169.34/25.50 | v52 & op(e2, v7) = v51 & op(e2, v5) = v50 & op(e2, v3) = v49 & op(e2,
% 169.34/25.50 | v0) = v48 & op(e2, e3) = v23 & op(e2, e2) = v21 & op(e2, e1) = v19
% 169.34/25.50 | & op(e2, e0) = v17 & op(e1, v31) = v47 & op(e1, v29) = v46 & op(e1,
% 169.34/25.50 | v27) = v45 & op(e1, v25) = v44 & op(e1, v23) = v43 & op(e1, v21) =
% 169.34/25.50 | v42 & op(e1, v19) = v41 & op(e1, v17) = v40 & op(e1, v15) = v39 &
% 169.34/25.50 | op(e1, v13) = v38 & op(e1, v11) = v37 & op(e1, v9) = v36 & op(e1, v7)
% 169.34/25.50 | = v35 & op(e1, v5) = v34 & op(e1, v3) = v33 & op(e1, v0) = v32 &
% 169.34/25.50 | op(e1, e3) = v15 & op(e1, e2) = v13 & op(e1, e1) = v11 & op(e1, e0) =
% 169.34/25.50 | v9 & op(e0, v31) = v30 & op(e0, v29) = v28 & op(e0, v27) = v26 &
% 169.34/25.50 | op(e0, v25) = v24 & op(e0, v23) = v22 & op(e0, v21) = v20 & op(e0,
% 169.34/25.50 | v19) = v18 & op(e0, v17) = v16 & op(e0, v15) = v14 & op(e0, v13) =
% 169.34/25.50 | v12 & op(e0, v11) = v10 & op(e0, v9) = v8 & op(e0, v7) = v6 & op(e0,
% 169.34/25.50 | v5) = v4 & op(e0, v3) = v2 & op(e0, v0) = v1 & op(e0, e3) = v7 &
% 169.34/25.50 | op(e0, e2) = v5 & op(e0, e1) = v3 & op(e0, e0) = v0 & $i(v79) &
% 169.34/25.50 | $i(v78) & $i(v77) & $i(v76) & $i(v75) & $i(v74) & $i(v73) & $i(v72) &
% 169.34/25.50 | $i(v71) & $i(v70) & $i(v69) & $i(v68) & $i(v67) & $i(v66) & $i(v65) &
% 169.34/25.50 | $i(v64) & $i(v63) & $i(v62) & $i(v61) & $i(v60) & $i(v59) & $i(v58) &
% 169.34/25.50 | $i(v57) & $i(v56) & $i(v55) & $i(v54) & $i(v53) & $i(v52) & $i(v51) &
% 169.34/25.50 | $i(v50) & $i(v49) & $i(v48) & $i(v47) & $i(v46) & $i(v45) & $i(v44) &
% 169.34/25.50 | $i(v43) & $i(v42) & $i(v41) & $i(v40) & $i(v39) & $i(v38) & $i(v37) &
% 169.34/25.50 | $i(v36) & $i(v35) & $i(v34) & $i(v33) & $i(v32) & $i(v31) & $i(v30) &
% 169.34/25.50 | $i(v29) & $i(v28) & $i(v27) & $i(v26) & $i(v25) & $i(v24) & $i(v23) &
% 169.34/25.50 | $i(v22) & $i(v21) & $i(v20) & $i(v19) & $i(v18) & $i(v17) & $i(v16) &
% 169.34/25.50 | $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) &
% 169.34/25.50 | $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1)
% 169.34/25.50 | & $i(v0))
% 169.34/25.50 |
% 169.34/25.50 | ALPHA: (ax3) implies:
% 169.34/25.50 | (3) op(e0, unit) = e0
% 169.34/25.50 | (4) op(e1, unit) = e1
% 169.34/25.50 | (5) op(e2, unit) = e2
% 169.34/25.50 | (6) op(e3, unit) = e3
% 169.34/25.50 | (7) op(unit, e0) = e0
% 169.34/25.50 | (8) op(unit, e1) = e1
% 169.34/25.50 | (9) op(unit, e2) = e2
% 169.34/25.50 | (10) op(unit, e3) = e3
% 169.34/25.50 | (11) unit = e3 | unit = e2 | unit = e1 | unit = e0
% 169.34/25.50 |
% 169.34/25.50 | ALPHA: (ax4) implies:
% 169.34/25.50 | (12) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : (inv(e3) = v3
% 169.34/25.50 | & inv(e2) = v2 & inv(e1) = v1 & inv(e0) = v0 & op(v3, e3) = unit &
% 169.34/25.50 | op(v2, e2) = unit & op(v1, e1) = unit & op(v0, e0) = unit & op(e3,
% 169.34/25.50 | v3) = unit & op(e2, v2) = unit & op(e1, v1) = unit & op(e0, v0) =
% 169.34/25.50 | unit & $i(v3) & $i(v2) & $i(v1) & $i(v0) & (v3 = e3 | v3 = e2 | v3 =
% 169.34/25.50 | e1 | v3 = e0) & (v2 = e3 | v2 = e2 | v2 = e1 | v2 = e0) & (v1 = e3
% 169.34/25.50 | | v1 = e2 | v1 = e1 | v1 = e0) & (v0 = e3 | v0 = e2 | v0 = e1 | v0
% 169.34/25.50 | = e0))
% 169.34/25.50 |
% 169.34/25.50 | ALPHA: (ax5) implies:
% 169.34/25.50 | (13) inv(unit) = unit
% 169.34/25.50 |
% 169.34/25.50 | ALPHA: (ax6) implies:
% 169.34/25.50 | (14) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : (inv(v3) = e3
% 169.34/25.50 | & inv(v2) = e2 & inv(v1) = e1 & inv(v0) = e0 & inv(e3) = v3 &
% 169.34/25.50 | inv(e2) = v2 & inv(e1) = v1 & inv(e0) = v0 & $i(v3) & $i(v2) &
% 169.34/25.50 | $i(v1) & $i(v0))
% 169.34/25.50 |
% 169.34/25.50 | ALPHA: (ax7) implies:
% 169.34/25.51 | (15) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : (inv(e3) = v3
% 169.34/25.51 | & inv(e2) = v2 & inv(e1) = v1 & inv(e0) = v0 & $i(v3) & $i(v2) &
% 169.34/25.51 | $i(v1) & $i(v0) & ( ~ (v3 = e2) | v2 = e3) & ( ~ (v3 = e1) | v1 =
% 169.34/25.51 | e3) & ( ~ (v3 = e0) | v0 = e3) & ( ~ (v2 = e3) | v3 = e2) & ( ~
% 169.34/25.51 | (v2 = e1) | v1 = e2) & ( ~ (v2 = e0) | v0 = e2) & ( ~ (v1 = e3) |
% 169.34/25.51 | v3 = e1) & ( ~ (v1 = e2) | v2 = e1) & ( ~ (v1 = e0) | v0 = e1) & (
% 169.34/25.51 | ~ (v0 = e3) | v3 = e0) & ( ~ (v0 = e2) | v2 = e0) & ( ~ (v0 = e1)
% 169.34/25.51 | | v1 = e0))
% 169.34/25.51 |
% 169.34/25.51 | ALPHA: (ax8) implies:
% 169.34/25.51 | (16) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ( ~ (v3 = v2)
% 169.34/25.51 | & ~ (v3 = v1) & ~ (v3 = v0) & ~ (v2 = v1) & ~ (v2 = v0) & ~ (v1
% 169.34/25.51 | = v0) & inv(e3) = v3 & inv(e2) = v2 & inv(e1) = v1 & inv(e0) = v0
% 169.34/25.51 | & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 169.34/25.51 |
% 169.34/25.51 | ALPHA: (ax9) implies:
% 169.34/25.51 | (17) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 169.34/25.51 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] :
% 169.34/25.51 | ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14:
% 169.34/25.51 | $i] : ? [v15: $i] : ( ~ (v15 = v14) & ~ (v15 = v13) & ~ (v15 =
% 169.34/25.51 | v12) & ~ (v15 = v11) & ~ (v15 = v7) & ~ (v15 = v3) & ~ (v14 =
% 169.34/25.51 | v13) & ~ (v14 = v12) & ~ (v14 = v10) & ~ (v14 = v6) & ~ (v14 =
% 169.34/25.51 | v2) & ~ (v13 = v12) & ~ (v13 = v9) & ~ (v13 = v5) & ~ (v13 =
% 169.34/25.51 | v1) & ~ (v12 = v8) & ~ (v12 = v4) & ~ (v12 = v0) & ~ (v11 =
% 169.34/25.51 | v10) & ~ (v11 = v9) & ~ (v11 = v8) & ~ (v11 = v7) & ~ (v11 =
% 169.34/25.51 | v3) & ~ (v10 = v9) & ~ (v10 = v8) & ~ (v10 = v6) & ~ (v10 =
% 169.34/25.51 | v2) & ~ (v9 = v8) & ~ (v9 = v5) & ~ (v9 = v1) & ~ (v8 = v4) &
% 169.34/25.51 | ~ (v8 = v0) & ~ (v7 = v6) & ~ (v7 = v5) & ~ (v7 = v4) & ~ (v7 =
% 169.34/25.51 | v3) & ~ (v6 = v5) & ~ (v6 = v4) & ~ (v6 = v2) & ~ (v5 = v4) &
% 169.34/25.51 | ~ (v5 = v1) & ~ (v4 = v0) & ~ (v3 = v2) & ~ (v3 = v1) & ~ (v3 =
% 169.34/25.51 | v0) & ~ (v2 = v1) & ~ (v2 = v0) & ~ (v1 = v0) & op(e3, e3) =
% 169.34/25.51 | v15 & op(e3, e2) = v11 & op(e3, e1) = v7 & op(e3, e0) = v3 & op(e2,
% 169.34/25.51 | e3) = v14 & op(e2, e2) = v10 & op(e2, e1) = v6 & op(e2, e0) = v2 &
% 169.34/25.51 | op(e1, e3) = v13 & op(e1, e2) = v9 & op(e1, e1) = v5 & op(e1, e0) =
% 169.34/25.51 | v1 & op(e0, e3) = v12 & op(e0, e2) = v8 & op(e0, e1) = v4 & op(e0,
% 169.34/25.52 | e0) = v0 & $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11) &
% 169.34/25.52 | $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) &
% 169.34/25.52 | $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 169.34/25.52 |
% 169.34/25.52 | ALPHA: (ax10) implies:
% 169.34/25.52 | (18) ~ (e1 = e0)
% 169.34/25.52 | (19) ~ (e2 = e0)
% 169.34/25.52 | (20) ~ (e2 = e1)
% 169.34/25.52 | (21) ~ (e3 = e0)
% 169.34/25.52 | (22) ~ (e3 = e1)
% 169.34/25.52 | (23) ~ (e3 = e2)
% 169.34/25.52 |
% 169.34/25.52 | ALPHA: (ax11) implies:
% 169.34/25.52 | (24) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ((( ~ (v3 =
% 169.34/25.52 | e3) & op(e3, e3) = v3 & $i(v3)) | ( ~ (v2 = e3) & op(e2, e2) =
% 169.34/25.52 | v2 & $i(v2)) | ( ~ (v1 = e3) & op(e1, e1) = v1 & $i(v1)) | ( ~
% 169.34/25.52 | (v0 = e3) & op(e0, e0) = v0 & $i(v0))) & (( ~ (v3 = e2) & op(e3,
% 169.34/25.52 | e3) = v3 & $i(v3)) | ( ~ (v2 = e2) & op(e2, e2) = v2 & $i(v2))
% 169.34/25.52 | | ( ~ (v1 = e2) & op(e1, e1) = v1 & $i(v1)) | ( ~ (v0 = e2) &
% 169.34/25.52 | op(e0, e0) = v0 & $i(v0))) & (( ~ (v3 = e1) & op(e3, e3) = v3 &
% 169.34/25.52 | $i(v3)) | ( ~ (v2 = e1) & op(e2, e2) = v2 & $i(v2)) | ( ~ (v1 =
% 169.34/25.52 | e1) & op(e1, e1) = v1 & $i(v1)) | ( ~ (v0 = e1) & op(e0, e0) =
% 169.34/25.52 | v0 & $i(v0))) & (( ~ (v3 = e0) & op(e3, e3) = v3 & $i(v3)) | ( ~
% 169.34/25.52 | (v2 = e0) & op(e2, e2) = v2 & $i(v2)) | ( ~ (v1 = e0) & op(e1,
% 169.34/25.52 | e1) = v1 & $i(v1)) | ( ~ (v0 = e0) & op(e0, e0) = v0 &
% 169.34/25.52 | $i(v0))))
% 169.34/25.52 |
% 169.34/25.52 | ALPHA: (ax12) implies:
% 169.71/25.52 | (25) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e2, e2) = v0 & $i(v0) &
% 169.71/25.52 | ( ~ (v0 = e3) | (op(e2, e3) = v1 & $i(v1) & ( ~ (v1 = e1) | ( ~ (v2
% 169.71/25.52 | = e0) & op(e1, e2) = v2 & $i(v2))))))
% 169.71/25.52 |
% 169.71/25.52 | ALPHA: (ax13) implies:
% 169.71/25.52 | (26) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e3, e3) = v0 & $i(v0) &
% 169.71/25.52 | ( ~ (v0 = e2) | (op(e3, e2) = v1 & $i(v1) & ( ~ (v1 = e1) | ( ~ (v2
% 169.71/25.52 | = e0) & op(e1, e3) = v2 & $i(v2))))))
% 169.71/25.52 |
% 169.71/25.52 | ALPHA: (ax14) implies:
% 169.71/25.52 | (27) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e1, e1) = v0 & $i(v0) &
% 169.71/25.52 | ( ~ (v0 = e3) | (op(e1, e3) = v1 & $i(v1) & ( ~ (v1 = e2) | ( ~ (v2
% 169.71/25.52 | = e0) & op(e2, e1) = v2 & $i(v2))))))
% 169.71/25.52 |
% 169.71/25.52 | ALPHA: (ax15) implies:
% 169.71/25.52 | (28) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e3, e3) = v0 & $i(v0) &
% 169.71/25.52 | ( ~ (v0 = e1) | (op(e3, e1) = v1 & $i(v1) & ( ~ (v1 = e2) | ( ~ (v2
% 169.71/25.52 | = e0) & op(e2, e3) = v2 & $i(v2))))))
% 169.71/25.52 |
% 169.71/25.52 | ALPHA: (ax16) implies:
% 169.71/25.53 | (29) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e1, e1) = v0 & $i(v0) &
% 169.71/25.53 | ( ~ (v0 = e2) | (op(e1, e2) = v1 & $i(v1) & ( ~ (v1 = e3) | ( ~ (v2
% 169.71/25.53 | = e0) & op(e3, e1) = v2 & $i(v2))))))
% 169.71/25.53 |
% 169.71/25.53 | ALPHA: (ax17) implies:
% 169.71/25.53 | (30) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e2, e2) = v0 & $i(v0) &
% 169.71/25.53 | ( ~ (v0 = e1) | (op(e2, e1) = v1 & $i(v1) & ( ~ (v1 = e3) | ( ~ (v2
% 169.71/25.53 | = e0) & op(e3, e2) = v2 & $i(v2))))))
% 169.71/25.53 |
% 169.71/25.53 | ALPHA: (ax18) implies:
% 169.71/25.53 | (31) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e2, e2) = v0 & $i(v0) &
% 169.71/25.53 | ( ~ (v0 = e3) | (op(e2, e3) = v1 & $i(v1) & ( ~ (v1 = e0) | ( ~ (v2
% 169.71/25.53 | = e1) & op(e0, e2) = v2 & $i(v2))))))
% 169.71/25.53 |
% 169.71/25.53 | ALPHA: (ax19) implies:
% 169.71/25.53 | (32) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e3, e3) = v0 & $i(v0) &
% 169.71/25.53 | ( ~ (v0 = e2) | (op(e3, e2) = v1 & $i(v1) & ( ~ (v1 = e0) | ( ~ (v2
% 169.71/25.53 | = e1) & op(e0, e3) = v2 & $i(v2))))))
% 169.71/25.53 |
% 169.71/25.53 | ALPHA: (ax20) implies:
% 169.71/25.53 | (33) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e0, e0) = v0 & $i(v0) &
% 169.71/25.53 | ( ~ (v0 = e3) | (op(e0, e3) = v1 & $i(v1) & ( ~ (v1 = e2) | ( ~ (v2
% 169.71/25.53 | = e1) & op(e2, e0) = v2 & $i(v2))))))
% 169.71/25.53 |
% 169.71/25.53 | ALPHA: (ax21) implies:
% 169.71/25.53 | (34) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e3, e3) = v0 & $i(v0) &
% 169.71/25.53 | ( ~ (v0 = e0) | (op(e3, e0) = v1 & $i(v1) & ( ~ (v1 = e2) | ( ~ (v2
% 169.71/25.53 | = e1) & op(e2, e3) = v2 & $i(v2))))))
% 169.71/25.53 |
% 169.71/25.53 | ALPHA: (ax22) implies:
% 169.71/25.53 | (35) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e0, e0) = v0 & $i(v0) &
% 169.71/25.53 | ( ~ (v0 = e2) | (op(e0, e2) = v1 & $i(v1) & ( ~ (v1 = e3) | ( ~ (v2
% 169.71/25.53 | = e1) & op(e3, e0) = v2 & $i(v2))))))
% 169.71/25.53 |
% 169.71/25.53 | ALPHA: (ax23) implies:
% 169.71/25.53 | (36) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e2, e2) = v0 & $i(v0) &
% 169.71/25.53 | ( ~ (v0 = e0) | (op(e2, e0) = v1 & $i(v1) & ( ~ (v1 = e3) | ( ~ (v2
% 169.71/25.53 | = e1) & op(e3, e2) = v2 & $i(v2))))))
% 169.71/25.53 |
% 169.71/25.53 | ALPHA: (ax24) implies:
% 169.71/25.53 | (37) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e1, e1) = v0 & $i(v0) &
% 169.71/25.53 | ( ~ (v0 = e3) | (op(e1, e3) = v1 & $i(v1) & ( ~ (v1 = e0) | ( ~ (v2
% 169.71/25.53 | = e2) & op(e0, e1) = v2 & $i(v2))))))
% 169.71/25.53 |
% 169.71/25.53 | ALPHA: (ax25) implies:
% 169.71/25.53 | (38) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e3, e3) = v0 & $i(v0) &
% 169.71/25.53 | ( ~ (v0 = e1) | (op(e3, e1) = v1 & $i(v1) & ( ~ (v1 = e0) | ( ~ (v2
% 169.71/25.53 | = e2) & op(e0, e3) = v2 & $i(v2))))))
% 169.71/25.53 |
% 169.71/25.53 | ALPHA: (ax26) implies:
% 169.71/25.53 | (39) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e0, e0) = v0 & $i(v0) &
% 169.71/25.53 | ( ~ (v0 = e3) | (op(e0, e3) = v1 & $i(v1) & ( ~ (v1 = e1) | ( ~ (v2
% 169.71/25.53 | = e2) & op(e1, e0) = v2 & $i(v2))))))
% 169.71/25.53 |
% 169.71/25.53 | ALPHA: (ax27) implies:
% 169.71/25.53 | (40) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e3, e3) = v0 & $i(v0) &
% 169.71/25.53 | ( ~ (v0 = e0) | (op(e3, e0) = v1 & $i(v1) & ( ~ (v1 = e1) | ( ~ (v2
% 169.71/25.53 | = e2) & op(e1, e3) = v2 & $i(v2))))))
% 169.71/25.54 |
% 169.71/25.54 | ALPHA: (ax28) implies:
% 169.71/25.54 | (41) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e0, e0) = v0 & $i(v0) &
% 169.71/25.54 | ( ~ (v0 = e1) | (op(e0, e1) = v1 & $i(v1) & ( ~ (v1 = e3) | ( ~ (v2
% 169.71/25.54 | = e2) & op(e3, e0) = v2 & $i(v2))))))
% 169.71/25.54 |
% 169.71/25.54 | ALPHA: (ax29) implies:
% 169.71/25.54 | (42) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e1, e1) = v0 & $i(v0) &
% 169.71/25.54 | ( ~ (v0 = e0) | (op(e1, e0) = v1 & $i(v1) & ( ~ (v1 = e3) | ( ~ (v2
% 169.71/25.54 | = e2) & op(e3, e1) = v2 & $i(v2))))))
% 169.71/25.54 |
% 169.71/25.54 | ALPHA: (ax30) implies:
% 169.71/25.54 | (43) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e1, e1) = v0 & $i(v0) &
% 169.71/25.54 | ( ~ (v0 = e2) | (op(e1, e2) = v1 & $i(v1) & ( ~ (v1 = e0) | ( ~ (v2
% 169.71/25.54 | = e3) & op(e0, e1) = v2 & $i(v2))))))
% 169.71/25.54 |
% 169.71/25.54 | ALPHA: (ax31) implies:
% 169.71/25.54 | (44) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e2, e2) = v0 & $i(v0) &
% 169.71/25.54 | ( ~ (v0 = e1) | (op(e2, e1) = v1 & $i(v1) & ( ~ (v1 = e0) | ( ~ (v2
% 169.71/25.54 | = e3) & op(e0, e2) = v2 & $i(v2))))))
% 169.71/25.54 |
% 169.71/25.54 | ALPHA: (ax32) implies:
% 169.71/25.54 | (45) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e0, e0) = v0 & $i(v0) &
% 169.71/25.54 | ( ~ (v0 = e2) | (op(e0, e2) = v1 & $i(v1) & ( ~ (v1 = e1) | ( ~ (v2
% 169.71/25.54 | = e3) & op(e1, e0) = v2 & $i(v2))))))
% 169.71/25.54 |
% 169.71/25.54 | ALPHA: (ax33) implies:
% 169.71/25.54 | (46) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e2, e2) = v0 & $i(v0) &
% 169.71/25.54 | ( ~ (v0 = e0) | (op(e2, e0) = v1 & $i(v1) & ( ~ (v1 = e1) | ( ~ (v2
% 169.71/25.54 | = e3) & op(e1, e2) = v2 & $i(v2))))))
% 169.71/25.54 |
% 169.71/25.54 | ALPHA: (ax34) implies:
% 169.71/25.54 | (47) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e0, e0) = v0 & $i(v0) &
% 169.71/25.54 | ( ~ (v0 = e1) | (op(e0, e1) = v1 & $i(v1) & ( ~ (v1 = e2) | ( ~ (v2
% 169.71/25.54 | = e3) & op(e2, e0) = v2 & $i(v2))))))
% 169.71/25.54 |
% 169.71/25.54 | ALPHA: (ax35) implies:
% 169.71/25.54 | (48) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e1, e1) = v0 & $i(v0) &
% 169.71/25.54 | ( ~ (v0 = e0) | (op(e1, e0) = v1 & $i(v1) & ( ~ (v1 = e2) | ( ~ (v2
% 169.71/25.54 | = e3) & op(e2, e1) = v2 & $i(v2))))))
% 169.71/25.54 |
% 169.71/25.54 | ALPHA: (function-axioms) implies:
% 169.71/25.54 | (49) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (inv(v2) = v1)
% 169.71/25.54 | | ~ (inv(v2) = v0))
% 169.71/25.54 | (50) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 169.71/25.54 | (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 169.71/25.54 |
% 169.71/25.54 | DELTA: instantiating (27) with fresh symbols all_4_0, all_4_1, all_4_2 gives:
% 169.71/25.54 | (51) op(e1, e1) = all_4_2 & $i(all_4_2) & ( ~ (all_4_2 = e3) | (op(e1, e3)
% 169.71/25.54 | = all_4_1 & $i(all_4_1) & ( ~ (all_4_1 = e2) | ( ~ (all_4_0 = e0)
% 169.71/25.54 | & op(e2, e1) = all_4_0 & $i(all_4_0)))))
% 169.71/25.54 |
% 169.71/25.54 | ALPHA: (51) implies:
% 169.71/25.54 | (52) op(e1, e1) = all_4_2
% 169.71/25.54 | (53) ~ (all_4_2 = e3) | (op(e1, e3) = all_4_1 & $i(all_4_1) & ( ~ (all_4_1
% 169.71/25.54 | = e2) | ( ~ (all_4_0 = e0) & op(e2, e1) = all_4_0 &
% 169.71/25.54 | $i(all_4_0))))
% 169.71/25.54 |
% 169.71/25.54 | DELTA: instantiating (25) with fresh symbols all_6_0, all_6_1, all_6_2 gives:
% 169.71/25.55 | (54) op(e2, e2) = all_6_2 & $i(all_6_2) & ( ~ (all_6_2 = e3) | (op(e2, e3)
% 169.71/25.55 | = all_6_1 & $i(all_6_1) & ( ~ (all_6_1 = e1) | ( ~ (all_6_0 = e0)
% 169.71/25.55 | & op(e1, e2) = all_6_0 & $i(all_6_0)))))
% 169.71/25.55 |
% 169.71/25.55 | ALPHA: (54) implies:
% 169.71/25.55 | (55) op(e2, e2) = all_6_2
% 169.71/25.55 | (56) ~ (all_6_2 = e3) | (op(e2, e3) = all_6_1 & $i(all_6_1) & ( ~ (all_6_1
% 169.71/25.55 | = e1) | ( ~ (all_6_0 = e0) & op(e1, e2) = all_6_0 &
% 169.71/25.55 | $i(all_6_0))))
% 169.71/25.55 |
% 169.71/25.55 | DELTA: instantiating (42) with fresh symbols all_8_0, all_8_1, all_8_2 gives:
% 169.71/25.55 | (57) op(e1, e1) = all_8_2 & $i(all_8_2) & ( ~ (all_8_2 = e0) | (op(e1, e0)
% 169.71/25.55 | = all_8_1 & $i(all_8_1) & ( ~ (all_8_1 = e3) | ( ~ (all_8_0 = e2)
% 169.71/25.55 | & op(e3, e1) = all_8_0 & $i(all_8_0)))))
% 169.71/25.55 |
% 169.71/25.55 | ALPHA: (57) implies:
% 169.71/25.55 | (58) op(e1, e1) = all_8_2
% 169.71/25.55 | (59) ~ (all_8_2 = e0) | (op(e1, e0) = all_8_1 & $i(all_8_1) & ( ~ (all_8_1
% 169.71/25.55 | = e3) | ( ~ (all_8_0 = e2) & op(e3, e1) = all_8_0 &
% 169.71/25.55 | $i(all_8_0))))
% 169.71/25.55 |
% 169.71/25.55 | DELTA: instantiating (29) with fresh symbols all_10_0, all_10_1, all_10_2
% 169.71/25.55 | gives:
% 169.71/25.55 | (60) op(e1, e1) = all_10_2 & $i(all_10_2) & ( ~ (all_10_2 = e2) | (op(e1,
% 169.71/25.55 | e2) = all_10_1 & $i(all_10_1) & ( ~ (all_10_1 = e3) | ( ~
% 169.71/25.55 | (all_10_0 = e0) & op(e3, e1) = all_10_0 & $i(all_10_0)))))
% 169.71/25.55 |
% 169.71/25.55 | ALPHA: (60) implies:
% 169.71/25.55 | (61) op(e1, e1) = all_10_2
% 169.71/25.55 | (62) ~ (all_10_2 = e2) | (op(e1, e2) = all_10_1 & $i(all_10_1) & ( ~
% 169.71/25.55 | (all_10_1 = e3) | ( ~ (all_10_0 = e0) & op(e3, e1) = all_10_0 &
% 169.71/25.55 | $i(all_10_0))))
% 169.71/25.55 |
% 169.71/25.55 | DELTA: instantiating (30) with fresh symbols all_12_0, all_12_1, all_12_2
% 169.71/25.55 | gives:
% 169.71/25.55 | (63) op(e2, e2) = all_12_2 & $i(all_12_2) & ( ~ (all_12_2 = e1) | (op(e2,
% 169.71/25.55 | e1) = all_12_1 & $i(all_12_1) & ( ~ (all_12_1 = e3) | ( ~
% 169.71/25.55 | (all_12_0 = e0) & op(e3, e2) = all_12_0 & $i(all_12_0)))))
% 169.71/25.55 |
% 169.71/25.55 | ALPHA: (63) implies:
% 169.71/25.55 | (64) op(e2, e2) = all_12_2
% 169.71/25.55 | (65) ~ (all_12_2 = e1) | (op(e2, e1) = all_12_1 & $i(all_12_1) & ( ~
% 169.71/25.55 | (all_12_1 = e3) | ( ~ (all_12_0 = e0) & op(e3, e2) = all_12_0 &
% 169.71/25.55 | $i(all_12_0))))
% 169.71/25.55 |
% 169.71/25.55 | DELTA: instantiating (32) with fresh symbols all_14_0, all_14_1, all_14_2
% 169.71/25.55 | gives:
% 169.71/25.55 | (66) op(e3, e3) = all_14_2 & $i(all_14_2) & ( ~ (all_14_2 = e2) | (op(e3,
% 169.71/25.55 | e2) = all_14_1 & $i(all_14_1) & ( ~ (all_14_1 = e0) | ( ~
% 169.71/25.55 | (all_14_0 = e1) & op(e0, e3) = all_14_0 & $i(all_14_0)))))
% 169.71/25.55 |
% 169.71/25.55 | ALPHA: (66) implies:
% 169.71/25.55 | (67) op(e3, e3) = all_14_2
% 169.71/25.55 | (68) ~ (all_14_2 = e2) | (op(e3, e2) = all_14_1 & $i(all_14_1) & ( ~
% 169.71/25.55 | (all_14_1 = e0) | ( ~ (all_14_0 = e1) & op(e0, e3) = all_14_0 &
% 169.71/25.55 | $i(all_14_0))))
% 169.71/25.55 |
% 169.71/25.55 | DELTA: instantiating (44) with fresh symbols all_16_0, all_16_1, all_16_2
% 169.71/25.55 | gives:
% 169.71/25.55 | (69) op(e2, e2) = all_16_2 & $i(all_16_2) & ( ~ (all_16_2 = e1) | (op(e2,
% 169.71/25.55 | e1) = all_16_1 & $i(all_16_1) & ( ~ (all_16_1 = e0) | ( ~
% 169.71/25.55 | (all_16_0 = e3) & op(e0, e2) = all_16_0 & $i(all_16_0)))))
% 169.71/25.55 |
% 169.71/25.55 | ALPHA: (69) implies:
% 169.71/25.55 | (70) op(e2, e2) = all_16_2
% 169.71/25.55 | (71) ~ (all_16_2 = e1) | (op(e2, e1) = all_16_1 & $i(all_16_1) & ( ~
% 169.71/25.55 | (all_16_1 = e0) | ( ~ (all_16_0 = e3) & op(e0, e2) = all_16_0 &
% 169.71/25.55 | $i(all_16_0))))
% 169.71/25.55 |
% 169.71/25.55 | DELTA: instantiating (43) with fresh symbols all_18_0, all_18_1, all_18_2
% 169.71/25.55 | gives:
% 169.71/25.55 | (72) op(e1, e1) = all_18_2 & $i(all_18_2) & ( ~ (all_18_2 = e2) | (op(e1,
% 169.71/25.55 | e2) = all_18_1 & $i(all_18_1) & ( ~ (all_18_1 = e0) | ( ~
% 169.71/25.55 | (all_18_0 = e3) & op(e0, e1) = all_18_0 & $i(all_18_0)))))
% 169.71/25.55 |
% 169.71/25.55 | ALPHA: (72) implies:
% 169.71/25.55 | (73) op(e1, e1) = all_18_2
% 169.71/25.55 | (74) ~ (all_18_2 = e2) | (op(e1, e2) = all_18_1 & $i(all_18_1) & ( ~
% 169.71/25.55 | (all_18_1 = e0) | ( ~ (all_18_0 = e3) & op(e0, e1) = all_18_0 &
% 169.71/25.55 | $i(all_18_0))))
% 169.71/25.55 |
% 169.71/25.55 | DELTA: instantiating (45) with fresh symbols all_20_0, all_20_1, all_20_2
% 169.71/25.55 | gives:
% 169.71/25.55 | (75) op(e0, e0) = all_20_2 & $i(all_20_2) & ( ~ (all_20_2 = e2) | (op(e0,
% 169.71/25.55 | e2) = all_20_1 & $i(all_20_1) & ( ~ (all_20_1 = e1) | ( ~
% 169.71/25.55 | (all_20_0 = e3) & op(e1, e0) = all_20_0 & $i(all_20_0)))))
% 169.71/25.55 |
% 169.71/25.55 | ALPHA: (75) implies:
% 169.71/25.55 | (76) op(e0, e0) = all_20_2
% 169.71/25.55 | (77) ~ (all_20_2 = e2) | (op(e0, e2) = all_20_1 & $i(all_20_1) & ( ~
% 169.71/25.55 | (all_20_1 = e1) | ( ~ (all_20_0 = e3) & op(e1, e0) = all_20_0 &
% 169.71/25.55 | $i(all_20_0))))
% 169.71/25.55 |
% 169.71/25.55 | DELTA: instantiating (46) with fresh symbols all_22_0, all_22_1, all_22_2
% 169.71/25.55 | gives:
% 169.71/25.56 | (78) op(e2, e2) = all_22_2 & $i(all_22_2) & ( ~ (all_22_2 = e0) | (op(e2,
% 169.71/25.56 | e0) = all_22_1 & $i(all_22_1) & ( ~ (all_22_1 = e1) | ( ~
% 169.71/25.56 | (all_22_0 = e3) & op(e1, e2) = all_22_0 & $i(all_22_0)))))
% 169.71/25.56 |
% 169.71/25.56 | ALPHA: (78) implies:
% 169.71/25.56 | (79) op(e2, e2) = all_22_2
% 169.71/25.56 | (80) ~ (all_22_2 = e0) | (op(e2, e0) = all_22_1 & $i(all_22_1) & ( ~
% 169.71/25.56 | (all_22_1 = e1) | ( ~ (all_22_0 = e3) & op(e1, e2) = all_22_0 &
% 169.71/25.56 | $i(all_22_0))))
% 169.71/25.56 |
% 169.71/25.56 | DELTA: instantiating (48) with fresh symbols all_24_0, all_24_1, all_24_2
% 169.71/25.56 | gives:
% 169.71/25.56 | (81) op(e1, e1) = all_24_2 & $i(all_24_2) & ( ~ (all_24_2 = e0) | (op(e1,
% 169.71/25.56 | e0) = all_24_1 & $i(all_24_1) & ( ~ (all_24_1 = e2) | ( ~
% 169.71/25.56 | (all_24_0 = e3) & op(e2, e1) = all_24_0 & $i(all_24_0)))))
% 169.71/25.56 |
% 169.71/25.56 | ALPHA: (81) implies:
% 169.71/25.56 | (82) op(e1, e1) = all_24_2
% 169.71/25.56 | (83) ~ (all_24_2 = e0) | (op(e1, e0) = all_24_1 & $i(all_24_1) & ( ~
% 169.71/25.56 | (all_24_1 = e2) | ( ~ (all_24_0 = e3) & op(e2, e1) = all_24_0 &
% 169.71/25.56 | $i(all_24_0))))
% 169.71/25.56 |
% 169.71/25.56 | DELTA: instantiating (26) with fresh symbols all_26_0, all_26_1, all_26_2
% 169.71/25.56 | gives:
% 169.71/25.56 | (84) op(e3, e3) = all_26_2 & $i(all_26_2) & ( ~ (all_26_2 = e2) | (op(e3,
% 169.71/25.56 | e2) = all_26_1 & $i(all_26_1) & ( ~ (all_26_1 = e1) | ( ~
% 169.71/25.56 | (all_26_0 = e0) & op(e1, e3) = all_26_0 & $i(all_26_0)))))
% 169.71/25.56 |
% 169.71/25.56 | ALPHA: (84) implies:
% 169.71/25.56 | (85) op(e3, e3) = all_26_2
% 169.71/25.56 | (86) ~ (all_26_2 = e2) | (op(e3, e2) = all_26_1 & $i(all_26_1) & ( ~
% 169.71/25.56 | (all_26_1 = e1) | ( ~ (all_26_0 = e0) & op(e1, e3) = all_26_0 &
% 169.71/25.56 | $i(all_26_0))))
% 169.71/25.56 |
% 169.71/25.56 | DELTA: instantiating (33) with fresh symbols all_28_0, all_28_1, all_28_2
% 169.71/25.56 | gives:
% 169.71/25.56 | (87) op(e0, e0) = all_28_2 & $i(all_28_2) & ( ~ (all_28_2 = e3) | (op(e0,
% 169.71/25.56 | e3) = all_28_1 & $i(all_28_1) & ( ~ (all_28_1 = e2) | ( ~
% 169.71/25.56 | (all_28_0 = e1) & op(e2, e0) = all_28_0 & $i(all_28_0)))))
% 169.71/25.56 |
% 169.71/25.56 | ALPHA: (87) implies:
% 169.71/25.56 | (88) op(e0, e0) = all_28_2
% 169.71/25.56 | (89) ~ (all_28_2 = e3) | (op(e0, e3) = all_28_1 & $i(all_28_1) & ( ~
% 169.71/25.56 | (all_28_1 = e2) | ( ~ (all_28_0 = e1) & op(e2, e0) = all_28_0 &
% 169.71/25.56 | $i(all_28_0))))
% 169.71/25.56 |
% 169.71/25.56 | DELTA: instantiating (31) with fresh symbols all_30_0, all_30_1, all_30_2
% 169.71/25.56 | gives:
% 169.71/25.56 | (90) op(e2, e2) = all_30_2 & $i(all_30_2) & ( ~ (all_30_2 = e3) | (op(e2,
% 169.71/25.56 | e3) = all_30_1 & $i(all_30_1) & ( ~ (all_30_1 = e0) | ( ~
% 169.71/25.56 | (all_30_0 = e1) & op(e0, e2) = all_30_0 & $i(all_30_0)))))
% 169.71/25.56 |
% 169.71/25.56 | ALPHA: (90) implies:
% 169.71/25.56 | (91) op(e2, e2) = all_30_2
% 169.71/25.56 | (92) ~ (all_30_2 = e3) | (op(e2, e3) = all_30_1 & $i(all_30_1) & ( ~
% 169.71/25.56 | (all_30_1 = e0) | ( ~ (all_30_0 = e1) & op(e0, e2) = all_30_0 &
% 169.71/25.56 | $i(all_30_0))))
% 169.71/25.56 |
% 169.71/25.56 | DELTA: instantiating (37) with fresh symbols all_32_0, all_32_1, all_32_2
% 169.71/25.56 | gives:
% 169.71/25.56 | (93) op(e1, e1) = all_32_2 & $i(all_32_2) & ( ~ (all_32_2 = e3) | (op(e1,
% 169.71/25.56 | e3) = all_32_1 & $i(all_32_1) & ( ~ (all_32_1 = e0) | ( ~
% 169.71/25.56 | (all_32_0 = e2) & op(e0, e1) = all_32_0 & $i(all_32_0)))))
% 169.71/25.56 |
% 169.71/25.56 | ALPHA: (93) implies:
% 169.71/25.56 | (94) op(e1, e1) = all_32_2
% 169.71/25.56 | (95) ~ (all_32_2 = e3) | (op(e1, e3) = all_32_1 & $i(all_32_1) & ( ~
% 169.71/25.56 | (all_32_1 = e0) | ( ~ (all_32_0 = e2) & op(e0, e1) = all_32_0 &
% 169.71/25.56 | $i(all_32_0))))
% 169.71/25.56 |
% 169.71/25.56 | DELTA: instantiating (39) with fresh symbols all_34_0, all_34_1, all_34_2
% 169.71/25.56 | gives:
% 169.71/25.56 | (96) op(e0, e0) = all_34_2 & $i(all_34_2) & ( ~ (all_34_2 = e3) | (op(e0,
% 169.71/25.56 | e3) = all_34_1 & $i(all_34_1) & ( ~ (all_34_1 = e1) | ( ~
% 169.71/25.56 | (all_34_0 = e2) & op(e1, e0) = all_34_0 & $i(all_34_0)))))
% 169.71/25.56 |
% 169.71/25.56 | ALPHA: (96) implies:
% 169.71/25.56 | (97) op(e0, e0) = all_34_2
% 169.71/25.56 | (98) ~ (all_34_2 = e3) | (op(e0, e3) = all_34_1 & $i(all_34_1) & ( ~
% 169.71/25.56 | (all_34_1 = e1) | ( ~ (all_34_0 = e2) & op(e1, e0) = all_34_0 &
% 169.71/25.56 | $i(all_34_0))))
% 169.71/25.56 |
% 169.71/25.56 | DELTA: instantiating (34) with fresh symbols all_36_0, all_36_1, all_36_2
% 169.71/25.56 | gives:
% 169.71/25.56 | (99) op(e3, e3) = all_36_2 & $i(all_36_2) & ( ~ (all_36_2 = e0) | (op(e3,
% 169.71/25.56 | e0) = all_36_1 & $i(all_36_1) & ( ~ (all_36_1 = e2) | ( ~
% 169.71/25.56 | (all_36_0 = e1) & op(e2, e3) = all_36_0 & $i(all_36_0)))))
% 169.71/25.56 |
% 169.71/25.56 | ALPHA: (99) implies:
% 169.71/25.56 | (100) op(e3, e3) = all_36_2
% 169.71/25.56 | (101) ~ (all_36_2 = e0) | (op(e3, e0) = all_36_1 & $i(all_36_1) & ( ~
% 169.71/25.56 | (all_36_1 = e2) | ( ~ (all_36_0 = e1) & op(e2, e3) = all_36_0 &
% 169.71/25.56 | $i(all_36_0))))
% 169.71/25.56 |
% 169.71/25.56 | DELTA: instantiating (36) with fresh symbols all_38_0, all_38_1, all_38_2
% 169.71/25.56 | gives:
% 169.71/25.57 | (102) op(e2, e2) = all_38_2 & $i(all_38_2) & ( ~ (all_38_2 = e0) | (op(e2,
% 169.71/25.57 | e0) = all_38_1 & $i(all_38_1) & ( ~ (all_38_1 = e3) | ( ~
% 169.71/25.57 | (all_38_0 = e1) & op(e3, e2) = all_38_0 & $i(all_38_0)))))
% 169.71/25.57 |
% 169.71/25.57 | ALPHA: (102) implies:
% 169.71/25.57 | (103) op(e2, e2) = all_38_2
% 169.71/25.57 | (104) ~ (all_38_2 = e0) | (op(e2, e0) = all_38_1 & $i(all_38_1) & ( ~
% 169.71/25.57 | (all_38_1 = e3) | ( ~ (all_38_0 = e1) & op(e3, e2) = all_38_0 &
% 169.71/25.57 | $i(all_38_0))))
% 169.71/25.57 |
% 169.71/25.57 | DELTA: instantiating (38) with fresh symbols all_40_0, all_40_1, all_40_2
% 169.71/25.57 | gives:
% 169.71/25.57 | (105) op(e3, e3) = all_40_2 & $i(all_40_2) & ( ~ (all_40_2 = e1) | (op(e3,
% 169.71/25.57 | e1) = all_40_1 & $i(all_40_1) & ( ~ (all_40_1 = e0) | ( ~
% 169.71/25.57 | (all_40_0 = e2) & op(e0, e3) = all_40_0 & $i(all_40_0)))))
% 169.71/25.57 |
% 169.71/25.57 | ALPHA: (105) implies:
% 169.71/25.57 | (106) op(e3, e3) = all_40_2
% 169.71/25.57 | (107) ~ (all_40_2 = e1) | (op(e3, e1) = all_40_1 & $i(all_40_1) & ( ~
% 169.71/25.57 | (all_40_1 = e0) | ( ~ (all_40_0 = e2) & op(e0, e3) = all_40_0 &
% 169.71/25.57 | $i(all_40_0))))
% 169.71/25.57 |
% 169.71/25.57 | DELTA: instantiating (41) with fresh symbols all_42_0, all_42_1, all_42_2
% 169.71/25.57 | gives:
% 169.71/25.57 | (108) op(e0, e0) = all_42_2 & $i(all_42_2) & ( ~ (all_42_2 = e1) | (op(e0,
% 169.71/25.57 | e1) = all_42_1 & $i(all_42_1) & ( ~ (all_42_1 = e3) | ( ~
% 169.71/25.57 | (all_42_0 = e2) & op(e3, e0) = all_42_0 & $i(all_42_0)))))
% 169.71/25.57 |
% 169.71/25.57 | ALPHA: (108) implies:
% 169.71/25.57 | (109) op(e0, e0) = all_42_2
% 169.71/25.57 | (110) ~ (all_42_2 = e1) | (op(e0, e1) = all_42_1 & $i(all_42_1) & ( ~
% 169.71/25.57 | (all_42_1 = e3) | ( ~ (all_42_0 = e2) & op(e3, e0) = all_42_0 &
% 169.71/25.57 | $i(all_42_0))))
% 169.71/25.57 |
% 169.71/25.57 | DELTA: instantiating (40) with fresh symbols all_44_0, all_44_1, all_44_2
% 169.71/25.57 | gives:
% 169.71/25.57 | (111) op(e3, e3) = all_44_2 & $i(all_44_2) & ( ~ (all_44_2 = e0) | (op(e3,
% 169.71/25.57 | e0) = all_44_1 & $i(all_44_1) & ( ~ (all_44_1 = e1) | ( ~
% 169.71/25.57 | (all_44_0 = e2) & op(e1, e3) = all_44_0 & $i(all_44_0)))))
% 169.71/25.57 |
% 169.71/25.57 | ALPHA: (111) implies:
% 169.71/25.57 | (112) op(e3, e3) = all_44_2
% 169.71/25.57 | (113) ~ (all_44_2 = e0) | (op(e3, e0) = all_44_1 & $i(all_44_1) & ( ~
% 169.71/25.57 | (all_44_1 = e1) | ( ~ (all_44_0 = e2) & op(e1, e3) = all_44_0 &
% 169.71/25.57 | $i(all_44_0))))
% 169.71/25.57 |
% 169.71/25.57 | DELTA: instantiating (35) with fresh symbols all_46_0, all_46_1, all_46_2
% 169.71/25.57 | gives:
% 169.71/25.57 | (114) op(e0, e0) = all_46_2 & $i(all_46_2) & ( ~ (all_46_2 = e2) | (op(e0,
% 169.71/25.57 | e2) = all_46_1 & $i(all_46_1) & ( ~ (all_46_1 = e3) | ( ~
% 169.71/25.57 | (all_46_0 = e1) & op(e3, e0) = all_46_0 & $i(all_46_0)))))
% 169.71/25.57 |
% 169.71/25.57 | ALPHA: (114) implies:
% 169.71/25.57 | (115) op(e0, e0) = all_46_2
% 169.71/25.57 | (116) ~ (all_46_2 = e2) | (op(e0, e2) = all_46_1 & $i(all_46_1) & ( ~
% 169.71/25.57 | (all_46_1 = e3) | ( ~ (all_46_0 = e1) & op(e3, e0) = all_46_0 &
% 169.71/25.57 | $i(all_46_0))))
% 169.71/25.57 |
% 169.71/25.57 | DELTA: instantiating (28) with fresh symbols all_48_0, all_48_1, all_48_2
% 169.71/25.57 | gives:
% 169.71/25.57 | (117) op(e3, e3) = all_48_2 & $i(all_48_2) & ( ~ (all_48_2 = e1) | (op(e3,
% 169.71/25.57 | e1) = all_48_1 & $i(all_48_1) & ( ~ (all_48_1 = e2) | ( ~
% 169.71/25.57 | (all_48_0 = e0) & op(e2, e3) = all_48_0 & $i(all_48_0)))))
% 169.71/25.57 |
% 169.71/25.57 | ALPHA: (117) implies:
% 169.71/25.57 | (118) op(e3, e3) = all_48_2
% 169.71/25.57 | (119) ~ (all_48_2 = e1) | (op(e3, e1) = all_48_1 & $i(all_48_1) & ( ~
% 169.71/25.57 | (all_48_1 = e2) | ( ~ (all_48_0 = e0) & op(e2, e3) = all_48_0 &
% 169.71/25.57 | $i(all_48_0))))
% 169.71/25.57 |
% 169.71/25.57 | DELTA: instantiating (47) with fresh symbols all_50_0, all_50_1, all_50_2
% 169.71/25.57 | gives:
% 169.71/25.57 | (120) op(e0, e0) = all_50_2 & $i(all_50_2) & ( ~ (all_50_2 = e1) | (op(e0,
% 169.71/25.57 | e1) = all_50_1 & $i(all_50_1) & ( ~ (all_50_1 = e2) | ( ~
% 169.71/25.57 | (all_50_0 = e3) & op(e2, e0) = all_50_0 & $i(all_50_0)))))
% 169.71/25.57 |
% 169.71/25.57 | ALPHA: (120) implies:
% 169.71/25.57 | (121) op(e0, e0) = all_50_2
% 169.71/25.57 | (122) ~ (all_50_2 = e1) | (op(e0, e1) = all_50_1 & $i(all_50_1) & ( ~
% 169.71/25.57 | (all_50_1 = e2) | ( ~ (all_50_0 = e3) & op(e2, e0) = all_50_0 &
% 169.71/25.57 | $i(all_50_0))))
% 169.71/25.57 |
% 169.71/25.57 | DELTA: instantiating (14) with fresh symbols all_52_0, all_52_1, all_52_2,
% 169.71/25.57 | all_52_3 gives:
% 169.71/25.57 | (123) inv(all_52_0) = e3 & inv(all_52_1) = e2 & inv(all_52_2) = e1 &
% 169.71/25.57 | inv(all_52_3) = e0 & inv(e3) = all_52_0 & inv(e2) = all_52_1 &
% 169.71/25.57 | inv(e1) = all_52_2 & inv(e0) = all_52_3 & $i(all_52_0) & $i(all_52_1)
% 169.71/25.57 | & $i(all_52_2) & $i(all_52_3)
% 169.71/25.57 |
% 169.71/25.57 | ALPHA: (123) implies:
% 169.71/25.57 | (124) inv(e0) = all_52_3
% 169.71/25.57 | (125) inv(e1) = all_52_2
% 169.71/25.57 | (126) inv(e2) = all_52_1
% 169.71/25.57 | (127) inv(e3) = all_52_0
% 169.71/25.57 |
% 169.71/25.57 | DELTA: instantiating (16) with fresh symbols all_54_0, all_54_1, all_54_2,
% 169.71/25.57 | all_54_3 gives:
% 169.71/25.57 | (128) ~ (all_54_0 = all_54_1) & ~ (all_54_0 = all_54_2) & ~ (all_54_0 =
% 169.71/25.57 | all_54_3) & ~ (all_54_1 = all_54_2) & ~ (all_54_1 = all_54_3) &
% 169.71/25.57 | ~ (all_54_2 = all_54_3) & inv(e3) = all_54_0 & inv(e2) = all_54_1 &
% 169.71/25.57 | inv(e1) = all_54_2 & inv(e0) = all_54_3 & $i(all_54_0) & $i(all_54_1)
% 169.71/25.57 | & $i(all_54_2) & $i(all_54_3)
% 169.71/25.57 |
% 169.71/25.57 | ALPHA: (128) implies:
% 169.71/25.57 | (129) ~ (all_54_2 = all_54_3)
% 169.71/25.57 | (130) ~ (all_54_1 = all_54_3)
% 169.71/25.57 | (131) ~ (all_54_1 = all_54_2)
% 169.71/25.57 | (132) ~ (all_54_0 = all_54_3)
% 169.71/25.57 | (133) ~ (all_54_0 = all_54_2)
% 169.71/25.57 | (134) ~ (all_54_0 = all_54_1)
% 169.71/25.57 | (135) inv(e0) = all_54_3
% 169.71/25.57 | (136) inv(e1) = all_54_2
% 169.71/25.57 | (137) inv(e2) = all_54_1
% 169.71/25.57 | (138) inv(e3) = all_54_0
% 169.71/25.57 |
% 169.71/25.57 | DELTA: instantiating (12) with fresh symbols all_56_0, all_56_1, all_56_2,
% 169.71/25.57 | all_56_3 gives:
% 169.71/25.58 | (139) inv(e3) = all_56_0 & inv(e2) = all_56_1 & inv(e1) = all_56_2 &
% 169.71/25.58 | inv(e0) = all_56_3 & op(all_56_0, e3) = unit & op(all_56_1, e2) =
% 169.71/25.58 | unit & op(all_56_2, e1) = unit & op(all_56_3, e0) = unit & op(e3,
% 169.71/25.58 | all_56_0) = unit & op(e2, all_56_1) = unit & op(e1, all_56_2) =
% 169.71/25.58 | unit & op(e0, all_56_3) = unit & $i(all_56_0) & $i(all_56_1) &
% 169.71/25.58 | $i(all_56_2) & $i(all_56_3) & (all_56_0 = e3 | all_56_0 = e2 |
% 169.71/25.58 | all_56_0 = e1 | all_56_0 = e0) & (all_56_1 = e3 | all_56_1 = e2 |
% 169.71/25.58 | all_56_1 = e1 | all_56_1 = e0) & (all_56_2 = e3 | all_56_2 = e2 |
% 169.71/25.58 | all_56_2 = e1 | all_56_2 = e0) & (all_56_3 = e3 | all_56_3 = e2 |
% 169.71/25.58 | all_56_3 = e1 | all_56_3 = e0)
% 169.71/25.58 |
% 169.71/25.58 | ALPHA: (139) implies:
% 169.71/25.58 | (140) op(e0, all_56_3) = unit
% 169.71/25.58 | (141) op(e1, all_56_2) = unit
% 169.71/25.58 | (142) op(e2, all_56_1) = unit
% 169.71/25.58 | (143) op(e3, all_56_0) = unit
% 169.71/25.58 | (144) inv(e0) = all_56_3
% 169.71/25.58 | (145) inv(e1) = all_56_2
% 169.71/25.58 | (146) inv(e2) = all_56_1
% 169.71/25.58 | (147) inv(e3) = all_56_0
% 169.71/25.58 | (148) all_56_3 = e3 | all_56_3 = e2 | all_56_3 = e1 | all_56_3 = e0
% 169.71/25.58 | (149) all_56_2 = e3 | all_56_2 = e2 | all_56_2 = e1 | all_56_2 = e0
% 169.71/25.58 | (150) all_56_1 = e3 | all_56_1 = e2 | all_56_1 = e1 | all_56_1 = e0
% 169.71/25.58 | (151) all_56_0 = e3 | all_56_0 = e2 | all_56_0 = e1 | all_56_0 = e0
% 169.71/25.58 |
% 169.71/25.58 | DELTA: instantiating (15) with fresh symbols all_58_0, all_58_1, all_58_2,
% 169.71/25.58 | all_58_3 gives:
% 169.71/25.58 | (152) inv(e3) = all_58_0 & inv(e2) = all_58_1 & inv(e1) = all_58_2 &
% 169.71/25.58 | inv(e0) = all_58_3 & $i(all_58_0) & $i(all_58_1) & $i(all_58_2) &
% 169.71/25.58 | $i(all_58_3) & ( ~ (all_58_0 = e2) | all_58_1 = e3) & ( ~ (all_58_0 =
% 169.71/25.58 | e1) | all_58_2 = e3) & ( ~ (all_58_0 = e0) | all_58_3 = e3) & ( ~
% 169.71/25.58 | (all_58_1 = e3) | all_58_0 = e2) & ( ~ (all_58_1 = e1) | all_58_2 =
% 169.71/25.58 | e2) & ( ~ (all_58_1 = e0) | all_58_3 = e2) & ( ~ (all_58_2 = e3) |
% 169.71/25.58 | all_58_0 = e1) & ( ~ (all_58_2 = e2) | all_58_1 = e1) & ( ~
% 169.71/25.58 | (all_58_2 = e0) | all_58_3 = e1) & ( ~ (all_58_3 = e3) | all_58_0 =
% 169.71/25.58 | e0) & ( ~ (all_58_3 = e2) | all_58_1 = e0) & ( ~ (all_58_3 = e1) |
% 169.71/25.58 | all_58_2 = e0)
% 169.71/25.58 |
% 169.71/25.58 | ALPHA: (152) implies:
% 169.71/25.58 | (153) inv(e0) = all_58_3
% 169.71/25.58 | (154) inv(e1) = all_58_2
% 169.71/25.58 | (155) inv(e2) = all_58_1
% 169.71/25.58 | (156) inv(e3) = all_58_0
% 169.71/25.58 | (157) ~ (all_58_3 = e1) | all_58_2 = e0
% 169.71/25.58 | (158) ~ (all_58_3 = e2) | all_58_1 = e0
% 169.71/25.58 | (159) ~ (all_58_3 = e3) | all_58_0 = e0
% 169.71/25.58 | (160) ~ (all_58_2 = e0) | all_58_3 = e1
% 169.71/25.58 | (161) ~ (all_58_2 = e2) | all_58_1 = e1
% 169.71/25.58 | (162) ~ (all_58_2 = e3) | all_58_0 = e1
% 169.71/25.58 | (163) ~ (all_58_1 = e0) | all_58_3 = e2
% 169.71/25.58 | (164) ~ (all_58_1 = e1) | all_58_2 = e2
% 169.71/25.58 | (165) ~ (all_58_1 = e3) | all_58_0 = e2
% 169.71/25.58 | (166) ~ (all_58_0 = e0) | all_58_3 = e3
% 169.71/25.58 | (167) ~ (all_58_0 = e1) | all_58_2 = e3
% 169.71/25.58 | (168) ~ (all_58_0 = e2) | all_58_1 = e3
% 169.71/25.58 |
% 169.71/25.58 | DELTA: instantiating (24) with fresh symbols all_60_0, all_60_1, all_60_2,
% 169.71/25.58 | all_60_3 gives:
% 169.71/25.58 | (169) (( ~ (all_60_0 = e3) & op(e3, e3) = all_60_0 & $i(all_60_0)) | ( ~
% 169.71/25.58 | (all_60_1 = e3) & op(e2, e2) = all_60_1 & $i(all_60_1)) | ( ~
% 169.71/25.58 | (all_60_2 = e3) & op(e1, e1) = all_60_2 & $i(all_60_2)) | ( ~
% 169.71/25.58 | (all_60_3 = e3) & op(e0, e0) = all_60_3 & $i(all_60_3))) & (( ~
% 169.71/25.58 | (all_60_0 = e2) & op(e3, e3) = all_60_0 & $i(all_60_0)) | ( ~
% 169.71/25.58 | (all_60_1 = e2) & op(e2, e2) = all_60_1 & $i(all_60_1)) | ( ~
% 169.71/25.58 | (all_60_2 = e2) & op(e1, e1) = all_60_2 & $i(all_60_2)) | ( ~
% 169.71/25.58 | (all_60_3 = e2) & op(e0, e0) = all_60_3 & $i(all_60_3))) & (( ~
% 169.71/25.58 | (all_60_0 = e1) & op(e3, e3) = all_60_0 & $i(all_60_0)) | ( ~
% 169.71/25.58 | (all_60_1 = e1) & op(e2, e2) = all_60_1 & $i(all_60_1)) | ( ~
% 169.71/25.58 | (all_60_2 = e1) & op(e1, e1) = all_60_2 & $i(all_60_2)) | ( ~
% 169.71/25.58 | (all_60_3 = e1) & op(e0, e0) = all_60_3 & $i(all_60_3))) & (( ~
% 169.71/25.58 | (all_60_0 = e0) & op(e3, e3) = all_60_0 & $i(all_60_0)) | ( ~
% 169.71/25.58 | (all_60_1 = e0) & op(e2, e2) = all_60_1 & $i(all_60_1)) | ( ~
% 169.71/25.58 | (all_60_2 = e0) & op(e1, e1) = all_60_2 & $i(all_60_2)) | ( ~
% 169.71/25.58 | (all_60_3 = e0) & op(e0, e0) = all_60_3 & $i(all_60_3)))
% 169.71/25.58 |
% 169.71/25.58 | ALPHA: (169) implies:
% 169.71/25.58 | (170) ( ~ (all_60_0 = e0) & op(e3, e3) = all_60_0 & $i(all_60_0)) | ( ~
% 169.71/25.58 | (all_60_1 = e0) & op(e2, e2) = all_60_1 & $i(all_60_1)) | ( ~
% 169.71/25.58 | (all_60_2 = e0) & op(e1, e1) = all_60_2 & $i(all_60_2)) | ( ~
% 169.71/25.58 | (all_60_3 = e0) & op(e0, e0) = all_60_3 & $i(all_60_3))
% 169.71/25.59 | (171) ( ~ (all_60_0 = e1) & op(e3, e3) = all_60_0 & $i(all_60_0)) | ( ~
% 169.71/25.59 | (all_60_1 = e1) & op(e2, e2) = all_60_1 & $i(all_60_1)) | ( ~
% 169.71/25.59 | (all_60_2 = e1) & op(e1, e1) = all_60_2 & $i(all_60_2)) | ( ~
% 169.71/25.59 | (all_60_3 = e1) & op(e0, e0) = all_60_3 & $i(all_60_3))
% 169.71/25.59 | (172) ( ~ (all_60_0 = e2) & op(e3, e3) = all_60_0 & $i(all_60_0)) | ( ~
% 169.71/25.59 | (all_60_1 = e2) & op(e2, e2) = all_60_1 & $i(all_60_1)) | ( ~
% 169.71/25.59 | (all_60_2 = e2) & op(e1, e1) = all_60_2 & $i(all_60_2)) | ( ~
% 169.71/25.59 | (all_60_3 = e2) & op(e0, e0) = all_60_3 & $i(all_60_3))
% 169.71/25.59 | (173) ( ~ (all_60_0 = e3) & op(e3, e3) = all_60_0 & $i(all_60_0)) | ( ~
% 169.71/25.59 | (all_60_1 = e3) & op(e2, e2) = all_60_1 & $i(all_60_1)) | ( ~
% 169.71/25.59 | (all_60_2 = e3) & op(e1, e1) = all_60_2 & $i(all_60_2)) | ( ~
% 169.71/25.59 | (all_60_3 = e3) & op(e0, e0) = all_60_3 & $i(all_60_3))
% 169.71/25.59 |
% 169.71/25.59 | DELTA: instantiating (17) with fresh symbols all_61_0, all_61_1, all_61_2,
% 169.71/25.59 | all_61_3, all_61_4, all_61_5, all_61_6, all_61_7, all_61_8, all_61_9,
% 169.71/25.59 | all_61_10, all_61_11, all_61_12, all_61_13, all_61_14, all_61_15 gives:
% 169.71/25.59 | (174) ~ (all_61_0 = all_61_1) & ~ (all_61_0 = all_61_2) & ~ (all_61_0 =
% 169.71/25.59 | all_61_3) & ~ (all_61_0 = all_61_4) & ~ (all_61_0 = all_61_8) &
% 169.71/25.59 | ~ (all_61_0 = all_61_12) & ~ (all_61_1 = all_61_2) & ~ (all_61_1 =
% 169.71/25.59 | all_61_3) & ~ (all_61_1 = all_61_5) & ~ (all_61_1 = all_61_9) &
% 169.71/25.59 | ~ (all_61_1 = all_61_13) & ~ (all_61_2 = all_61_3) & ~ (all_61_2 =
% 169.71/25.59 | all_61_6) & ~ (all_61_2 = all_61_10) & ~ (all_61_2 = all_61_14) &
% 169.71/25.59 | ~ (all_61_3 = all_61_7) & ~ (all_61_3 = all_61_11) & ~ (all_61_3 =
% 169.71/25.59 | all_61_15) & ~ (all_61_4 = all_61_5) & ~ (all_61_4 = all_61_6) &
% 169.71/25.59 | ~ (all_61_4 = all_61_7) & ~ (all_61_4 = all_61_8) & ~ (all_61_4 =
% 169.71/25.59 | all_61_12) & ~ (all_61_5 = all_61_6) & ~ (all_61_5 = all_61_7) &
% 169.71/25.59 | ~ (all_61_5 = all_61_9) & ~ (all_61_5 = all_61_13) & ~ (all_61_6 =
% 169.71/25.59 | all_61_7) & ~ (all_61_6 = all_61_10) & ~ (all_61_6 = all_61_14) &
% 169.71/25.59 | ~ (all_61_7 = all_61_11) & ~ (all_61_7 = all_61_15) & ~ (all_61_8
% 169.71/25.59 | = all_61_9) & ~ (all_61_8 = all_61_10) & ~ (all_61_8 = all_61_11)
% 169.71/25.59 | & ~ (all_61_8 = all_61_12) & ~ (all_61_9 = all_61_10) & ~
% 169.71/25.59 | (all_61_9 = all_61_11) & ~ (all_61_9 = all_61_13) & ~ (all_61_10 =
% 169.71/25.59 | all_61_11) & ~ (all_61_10 = all_61_14) & ~ (all_61_11 =
% 169.71/25.59 | all_61_15) & ~ (all_61_12 = all_61_13) & ~ (all_61_12 =
% 169.71/25.59 | all_61_14) & ~ (all_61_12 = all_61_15) & ~ (all_61_13 =
% 169.71/25.59 | all_61_14) & ~ (all_61_13 = all_61_15) & ~ (all_61_14 =
% 169.71/25.59 | all_61_15) & op(e3, e3) = all_61_0 & op(e3, e2) = all_61_4 & op(e3,
% 169.71/25.59 | e1) = all_61_8 & op(e3, e0) = all_61_12 & op(e2, e3) = all_61_1 &
% 169.71/25.59 | op(e2, e2) = all_61_5 & op(e2, e1) = all_61_9 & op(e2, e0) =
% 169.71/25.59 | all_61_13 & op(e1, e3) = all_61_2 & op(e1, e2) = all_61_6 & op(e1,
% 169.71/25.59 | e1) = all_61_10 & op(e1, e0) = all_61_14 & op(e0, e3) = all_61_3 &
% 169.71/25.59 | op(e0, e2) = all_61_7 & op(e0, e1) = all_61_11 & op(e0, e0) =
% 169.71/25.59 | all_61_15 & $i(all_61_0) & $i(all_61_1) & $i(all_61_2) & $i(all_61_3)
% 169.71/25.59 | & $i(all_61_4) & $i(all_61_5) & $i(all_61_6) & $i(all_61_7) &
% 169.71/25.59 | $i(all_61_8) & $i(all_61_9) & $i(all_61_10) & $i(all_61_11) &
% 169.71/25.59 | $i(all_61_12) & $i(all_61_13) & $i(all_61_14) & $i(all_61_15)
% 169.71/25.59 |
% 169.71/25.59 | ALPHA: (174) implies:
% 169.71/25.59 | (175) ~ (all_61_14 = all_61_15)
% 169.71/25.59 | (176) ~ (all_61_13 = all_61_15)
% 169.71/25.59 | (177) ~ (all_61_13 = all_61_14)
% 169.71/25.59 | (178) ~ (all_61_12 = all_61_15)
% 169.71/25.59 | (179) ~ (all_61_12 = all_61_14)
% 169.71/25.59 | (180) ~ (all_61_12 = all_61_13)
% 169.71/25.59 | (181) ~ (all_61_11 = all_61_15)
% 169.71/25.59 | (182) ~ (all_61_10 = all_61_14)
% 169.71/25.59 | (183) ~ (all_61_10 = all_61_11)
% 169.71/25.59 | (184) ~ (all_61_9 = all_61_13)
% 169.71/25.59 | (185) ~ (all_61_9 = all_61_11)
% 169.71/25.59 | (186) ~ (all_61_9 = all_61_10)
% 169.71/25.59 | (187) ~ (all_61_8 = all_61_12)
% 169.71/25.59 | (188) ~ (all_61_8 = all_61_11)
% 169.71/25.59 | (189) ~ (all_61_8 = all_61_10)
% 169.71/25.59 | (190) ~ (all_61_8 = all_61_9)
% 169.71/25.59 | (191) ~ (all_61_7 = all_61_15)
% 169.71/25.59 | (192) ~ (all_61_7 = all_61_11)
% 169.71/25.59 | (193) ~ (all_61_6 = all_61_14)
% 169.71/25.59 | (194) ~ (all_61_6 = all_61_10)
% 169.71/25.59 | (195) ~ (all_61_6 = all_61_7)
% 169.71/25.59 | (196) ~ (all_61_5 = all_61_13)
% 169.71/25.59 | (197) ~ (all_61_5 = all_61_9)
% 169.71/25.59 | (198) ~ (all_61_5 = all_61_7)
% 169.71/25.59 | (199) ~ (all_61_5 = all_61_6)
% 169.71/25.59 | (200) ~ (all_61_4 = all_61_12)
% 169.71/25.59 | (201) ~ (all_61_4 = all_61_8)
% 169.71/25.59 | (202) ~ (all_61_4 = all_61_7)
% 169.71/25.59 | (203) ~ (all_61_4 = all_61_6)
% 169.71/25.59 | (204) ~ (all_61_4 = all_61_5)
% 169.71/25.59 | (205) ~ (all_61_3 = all_61_15)
% 169.71/25.59 | (206) ~ (all_61_3 = all_61_11)
% 169.71/25.59 | (207) ~ (all_61_3 = all_61_7)
% 169.71/25.59 | (208) ~ (all_61_2 = all_61_14)
% 169.71/25.59 | (209) ~ (all_61_2 = all_61_10)
% 169.71/25.59 | (210) ~ (all_61_2 = all_61_6)
% 169.71/25.59 | (211) ~ (all_61_2 = all_61_3)
% 169.71/25.59 | (212) ~ (all_61_1 = all_61_13)
% 169.71/25.59 | (213) ~ (all_61_1 = all_61_9)
% 169.71/25.59 | (214) ~ (all_61_1 = all_61_5)
% 169.71/25.59 | (215) ~ (all_61_1 = all_61_3)
% 169.71/25.59 | (216) ~ (all_61_1 = all_61_2)
% 169.71/25.59 | (217) ~ (all_61_0 = all_61_12)
% 169.71/25.59 | (218) ~ (all_61_0 = all_61_8)
% 169.71/25.59 | (219) ~ (all_61_0 = all_61_4)
% 169.71/25.59 | (220) ~ (all_61_0 = all_61_3)
% 169.71/25.59 | (221) ~ (all_61_0 = all_61_2)
% 169.71/25.59 | (222) ~ (all_61_0 = all_61_1)
% 169.71/25.59 | (223) op(e0, e0) = all_61_15
% 169.71/25.59 | (224) op(e0, e1) = all_61_11
% 169.71/25.59 | (225) op(e0, e2) = all_61_7
% 169.71/25.59 | (226) op(e0, e3) = all_61_3
% 169.71/25.59 | (227) op(e1, e0) = all_61_14
% 169.71/25.59 | (228) op(e1, e1) = all_61_10
% 169.71/25.59 | (229) op(e1, e2) = all_61_6
% 169.71/25.59 | (230) op(e1, e3) = all_61_2
% 169.71/25.60 | (231) op(e2, e0) = all_61_13
% 169.71/25.60 | (232) op(e2, e1) = all_61_9
% 169.71/25.60 | (233) op(e2, e2) = all_61_5
% 169.71/25.60 | (234) op(e2, e3) = all_61_1
% 169.71/25.60 | (235) op(e3, e0) = all_61_12
% 169.71/25.60 | (236) op(e3, e1) = all_61_8
% 169.71/25.60 | (237) op(e3, e2) = all_61_4
% 169.71/25.60 | (238) op(e3, e3) = all_61_0
% 169.71/25.60 |
% 169.71/25.60 | DELTA: instantiating (1) with fresh symbols all_63_0, all_63_1, all_63_2,
% 169.71/25.60 | all_63_3, all_63_4, all_63_5, all_63_6, all_63_7, all_63_8, all_63_9,
% 169.71/25.60 | all_63_10, all_63_11, all_63_12, all_63_13, all_63_14, all_63_15 gives:
% 169.71/25.60 | (239) op(e3, e3) = all_63_0 & op(e3, e2) = all_63_1 & op(e3, e1) = all_63_2
% 169.71/25.60 | & op(e3, e0) = all_63_3 & op(e2, e3) = all_63_4 & op(e2, e2) =
% 169.71/25.60 | all_63_5 & op(e2, e1) = all_63_6 & op(e2, e0) = all_63_7 & op(e1, e3)
% 169.71/25.60 | = all_63_8 & op(e1, e2) = all_63_9 & op(e1, e1) = all_63_10 & op(e1,
% 169.71/25.60 | e0) = all_63_11 & op(e0, e3) = all_63_12 & op(e0, e2) = all_63_13 &
% 169.71/25.60 | op(e0, e1) = all_63_14 & op(e0, e0) = all_63_15 & $i(all_63_0) &
% 169.71/25.60 | $i(all_63_1) & $i(all_63_2) & $i(all_63_3) & $i(all_63_4) &
% 169.71/25.60 | $i(all_63_5) & $i(all_63_6) & $i(all_63_7) & $i(all_63_8) &
% 169.71/25.60 | $i(all_63_9) & $i(all_63_10) & $i(all_63_11) & $i(all_63_12) &
% 169.71/25.60 | $i(all_63_13) & $i(all_63_14) & $i(all_63_15) & (all_63_0 = e3 |
% 169.71/25.60 | all_63_0 = e2 | all_63_0 = e1 | all_63_0 = e0) & (all_63_1 = e3 |
% 169.71/25.60 | all_63_1 = e2 | all_63_1 = e1 | all_63_1 = e0) & (all_63_2 = e3 |
% 169.71/25.60 | all_63_2 = e2 | all_63_2 = e1 | all_63_2 = e0) & (all_63_3 = e3 |
% 169.71/25.60 | all_63_3 = e2 | all_63_3 = e1 | all_63_3 = e0) & (all_63_4 = e3 |
% 169.71/25.60 | all_63_4 = e2 | all_63_4 = e1 | all_63_4 = e0) & (all_63_5 = e3 |
% 169.71/25.60 | all_63_5 = e2 | all_63_5 = e1 | all_63_5 = e0) & (all_63_6 = e3 |
% 169.71/25.60 | all_63_6 = e2 | all_63_6 = e1 | all_63_6 = e0) & (all_63_7 = e3 |
% 169.71/25.60 | all_63_7 = e2 | all_63_7 = e1 | all_63_7 = e0) & (all_63_8 = e3 |
% 169.71/25.60 | all_63_8 = e2 | all_63_8 = e1 | all_63_8 = e0) & (all_63_9 = e3 |
% 169.71/25.60 | all_63_9 = e2 | all_63_9 = e1 | all_63_9 = e0) & (all_63_10 = e3 |
% 169.71/25.60 | all_63_10 = e2 | all_63_10 = e1 | all_63_10 = e0) & (all_63_11 = e3
% 169.71/25.60 | | all_63_11 = e2 | all_63_11 = e1 | all_63_11 = e0) & (all_63_12 =
% 169.71/25.60 | e3 | all_63_12 = e2 | all_63_12 = e1 | all_63_12 = e0) & (all_63_13
% 169.71/25.60 | = e3 | all_63_13 = e2 | all_63_13 = e1 | all_63_13 = e0) &
% 169.71/25.60 | (all_63_14 = e3 | all_63_14 = e2 | all_63_14 = e1 | all_63_14 = e0) &
% 169.71/25.60 | (all_63_15 = e3 | all_63_15 = e2 | all_63_15 = e1 | all_63_15 = e0)
% 169.71/25.60 |
% 169.71/25.60 | ALPHA: (239) implies:
% 169.71/25.60 | (240) op(e0, e0) = all_63_15
% 169.71/25.60 | (241) op(e0, e1) = all_63_14
% 169.71/25.60 | (242) op(e0, e2) = all_63_13
% 169.71/25.60 | (243) op(e0, e3) = all_63_12
% 169.71/25.60 | (244) op(e1, e0) = all_63_11
% 169.71/25.60 | (245) op(e1, e1) = all_63_10
% 169.71/25.60 | (246) op(e1, e2) = all_63_9
% 169.71/25.60 | (247) op(e1, e3) = all_63_8
% 169.71/25.60 | (248) op(e2, e0) = all_63_7
% 169.71/25.60 | (249) op(e2, e1) = all_63_6
% 169.71/25.60 | (250) op(e2, e2) = all_63_5
% 169.71/25.60 | (251) op(e2, e3) = all_63_4
% 169.71/25.60 | (252) op(e3, e0) = all_63_3
% 169.71/25.60 | (253) op(e3, e1) = all_63_2
% 169.71/25.60 | (254) op(e3, e2) = all_63_1
% 169.71/25.60 | (255) op(e3, e3) = all_63_0
% 169.71/25.60 | (256) all_63_15 = e3 | all_63_15 = e2 | all_63_15 = e1 | all_63_15 = e0
% 169.71/25.60 | (257) all_63_14 = e3 | all_63_14 = e2 | all_63_14 = e1 | all_63_14 = e0
% 169.71/25.60 | (258) all_63_13 = e3 | all_63_13 = e2 | all_63_13 = e1 | all_63_13 = e0
% 169.71/25.60 | (259) all_63_12 = e3 | all_63_12 = e2 | all_63_12 = e1 | all_63_12 = e0
% 169.71/25.60 | (260) all_63_11 = e3 | all_63_11 = e2 | all_63_11 = e1 | all_63_11 = e0
% 169.71/25.60 | (261) all_63_10 = e3 | all_63_10 = e2 | all_63_10 = e1 | all_63_10 = e0
% 169.71/25.60 | (262) all_63_9 = e3 | all_63_9 = e2 | all_63_9 = e1 | all_63_9 = e0
% 169.71/25.60 | (263) all_63_8 = e3 | all_63_8 = e2 | all_63_8 = e1 | all_63_8 = e0
% 169.71/25.60 | (264) all_63_7 = e3 | all_63_7 = e2 | all_63_7 = e1 | all_63_7 = e0
% 169.71/25.60 | (265) all_63_6 = e3 | all_63_6 = e2 | all_63_6 = e1 | all_63_6 = e0
% 169.71/25.60 | (266) all_63_5 = e3 | all_63_5 = e2 | all_63_5 = e1 | all_63_5 = e0
% 169.71/25.60 | (267) all_63_4 = e3 | all_63_4 = e2 | all_63_4 = e1 | all_63_4 = e0
% 169.71/25.60 | (268) all_63_3 = e3 | all_63_3 = e2 | all_63_3 = e1 | all_63_3 = e0
% 169.71/25.60 | (269) all_63_2 = e3 | all_63_2 = e2 | all_63_2 = e1 | all_63_2 = e0
% 169.71/25.60 | (270) all_63_1 = e3 | all_63_1 = e2 | all_63_1 = e1 | all_63_1 = e0
% 169.71/25.60 | (271) all_63_0 = e3 | all_63_0 = e2 | all_63_0 = e1 | all_63_0 = e0
% 169.71/25.60 |
% 169.71/25.60 | DELTA: instantiating (2) with fresh symbols all_65_0, all_65_1, all_65_2,
% 169.71/25.60 | all_65_3, all_65_4, all_65_5, all_65_6, all_65_7, all_65_8, all_65_9,
% 169.71/25.60 | all_65_10, all_65_11, all_65_12, all_65_13, all_65_14, all_65_15,
% 169.71/25.60 | all_65_16, all_65_17, all_65_18, all_65_19, all_65_20, all_65_21,
% 169.71/25.60 | all_65_22, all_65_23, all_65_24, all_65_25, all_65_26, all_65_27,
% 169.71/25.60 | all_65_28, all_65_29, all_65_30, all_65_31, all_65_32, all_65_33,
% 169.71/25.60 | all_65_34, all_65_35, all_65_36, all_65_37, all_65_38, all_65_39,
% 169.71/25.60 | all_65_40, all_65_41, all_65_42, all_65_43, all_65_44, all_65_45,
% 169.71/25.60 | all_65_46, all_65_47, all_65_48, all_65_49, all_65_50, all_65_51,
% 169.71/25.60 | all_65_52, all_65_53, all_65_54, all_65_55, all_65_56, all_65_57,
% 169.71/25.60 | all_65_58, all_65_59, all_65_60, all_65_61, all_65_62, all_65_63,
% 169.71/25.60 | all_65_64, all_65_65, all_65_66, all_65_67, all_65_68, all_65_69,
% 169.71/25.60 | all_65_70, all_65_71, all_65_72, all_65_73, all_65_74, all_65_75,
% 169.71/25.60 | all_65_76, all_65_77, all_65_78, all_65_79 gives:
% 169.71/25.61 | (272) op(all_65_48, e3) = all_65_0 & op(all_65_48, e2) = all_65_1 &
% 169.71/25.61 | op(all_65_48, e1) = all_65_2 & op(all_65_48, e0) = all_65_3 &
% 169.71/25.61 | op(all_65_50, e3) = all_65_4 & op(all_65_50, e2) = all_65_5 &
% 169.71/25.61 | op(all_65_50, e1) = all_65_6 & op(all_65_50, e0) = all_65_7 &
% 169.71/25.61 | op(all_65_52, e3) = all_65_8 & op(all_65_52, e2) = all_65_9 &
% 169.71/25.61 | op(all_65_52, e1) = all_65_10 & op(all_65_52, e0) = all_65_11 &
% 169.71/25.61 | op(all_65_54, e3) = all_65_12 & op(all_65_54, e2) = all_65_13 &
% 169.71/25.61 | op(all_65_54, e1) = all_65_14 & op(all_65_54, e0) = all_65_15 &
% 169.71/25.61 | op(all_65_56, e3) = all_65_16 & op(all_65_56, e2) = all_65_17 &
% 169.71/25.61 | op(all_65_56, e1) = all_65_18 & op(all_65_56, e0) = all_65_19 &
% 169.71/25.61 | op(all_65_58, e3) = all_65_20 & op(all_65_58, e2) = all_65_21 &
% 169.71/25.61 | op(all_65_58, e1) = all_65_22 & op(all_65_58, e0) = all_65_23 &
% 169.71/25.61 | op(all_65_60, e3) = all_65_24 & op(all_65_60, e2) = all_65_25 &
% 169.71/25.61 | op(all_65_60, e1) = all_65_26 & op(all_65_60, e0) = all_65_27 &
% 169.71/25.61 | op(all_65_62, e3) = all_65_28 & op(all_65_62, e2) = all_65_29 &
% 169.71/25.61 | op(all_65_62, e1) = all_65_30 & op(all_65_62, e0) = all_65_31 &
% 169.71/25.61 | op(all_65_64, e3) = all_65_32 & op(all_65_64, e2) = all_65_33 &
% 169.71/25.61 | op(all_65_64, e1) = all_65_34 & op(all_65_64, e0) = all_65_35 &
% 169.71/25.61 | op(all_65_66, e3) = all_65_36 & op(all_65_66, e2) = all_65_37 &
% 169.71/25.61 | op(all_65_66, e1) = all_65_38 & op(all_65_66, e0) = all_65_39 &
% 169.71/25.61 | op(all_65_68, e3) = all_65_40 & op(all_65_68, e2) = all_65_41 &
% 169.71/25.61 | op(all_65_68, e1) = all_65_42 & op(all_65_68, e0) = all_65_43 &
% 169.71/25.61 | op(all_65_70, e3) = all_65_44 & op(all_65_70, e2) = all_65_45 &
% 169.71/25.61 | op(all_65_70, e1) = all_65_46 & op(all_65_70, e0) = all_65_47 &
% 169.71/25.61 | op(all_65_72, e3) = all_65_49 & op(all_65_72, e2) = all_65_51 &
% 169.71/25.61 | op(all_65_72, e1) = all_65_53 & op(all_65_72, e0) = all_65_55 &
% 169.71/25.61 | op(all_65_74, e3) = all_65_57 & op(all_65_74, e2) = all_65_59 &
% 169.71/25.61 | op(all_65_74, e1) = all_65_61 & op(all_65_74, e0) = all_65_63 &
% 169.71/25.61 | op(all_65_76, e3) = all_65_65 & op(all_65_76, e2) = all_65_67 &
% 169.71/25.61 | op(all_65_76, e1) = all_65_69 & op(all_65_76, e0) = all_65_71 &
% 169.71/25.61 | op(all_65_79, e3) = all_65_73 & op(all_65_79, e2) = all_65_75 &
% 169.71/25.61 | op(all_65_79, e1) = all_65_77 & op(all_65_79, e0) = all_65_78 &
% 169.71/25.61 | op(e3, all_65_48) = all_65_0 & op(e3, all_65_50) = all_65_1 & op(e3,
% 169.71/25.61 | all_65_52) = all_65_2 & op(e3, all_65_54) = all_65_3 & op(e3,
% 169.71/25.61 | all_65_56) = all_65_4 & op(e3, all_65_58) = all_65_5 & op(e3,
% 169.71/25.61 | all_65_60) = all_65_6 & op(e3, all_65_62) = all_65_7 & op(e3,
% 169.71/25.61 | all_65_64) = all_65_8 & op(e3, all_65_66) = all_65_9 & op(e3,
% 169.71/25.61 | all_65_68) = all_65_10 & op(e3, all_65_70) = all_65_11 & op(e3,
% 169.71/25.61 | all_65_72) = all_65_12 & op(e3, all_65_74) = all_65_13 & op(e3,
% 169.71/25.61 | all_65_76) = all_65_14 & op(e3, all_65_79) = all_65_15 & op(e3, e3)
% 169.71/25.61 | = all_65_48 & op(e3, e2) = all_65_50 & op(e3, e1) = all_65_52 &
% 169.71/25.61 | op(e3, e0) = all_65_54 & op(e2, all_65_48) = all_65_16 & op(e2,
% 169.71/25.61 | all_65_50) = all_65_17 & op(e2, all_65_52) = all_65_18 & op(e2,
% 169.71/25.61 | all_65_54) = all_65_19 & op(e2, all_65_56) = all_65_20 & op(e2,
% 169.71/25.61 | all_65_58) = all_65_21 & op(e2, all_65_60) = all_65_22 & op(e2,
% 169.71/25.61 | all_65_62) = all_65_23 & op(e2, all_65_64) = all_65_24 & op(e2,
% 169.71/25.61 | all_65_66) = all_65_25 & op(e2, all_65_68) = all_65_26 & op(e2,
% 169.71/25.61 | all_65_70) = all_65_27 & op(e2, all_65_72) = all_65_28 & op(e2,
% 169.71/25.61 | all_65_74) = all_65_29 & op(e2, all_65_76) = all_65_30 & op(e2,
% 169.71/25.61 | all_65_79) = all_65_31 & op(e2, e3) = all_65_56 & op(e2, e2) =
% 169.71/25.61 | all_65_58 & op(e2, e1) = all_65_60 & op(e2, e0) = all_65_62 & op(e1,
% 169.71/25.61 | all_65_48) = all_65_32 & op(e1, all_65_50) = all_65_33 & op(e1,
% 169.71/25.61 | all_65_52) = all_65_34 & op(e1, all_65_54) = all_65_35 & op(e1,
% 169.71/25.61 | all_65_56) = all_65_36 & op(e1, all_65_58) = all_65_37 & op(e1,
% 169.71/25.61 | all_65_60) = all_65_38 & op(e1, all_65_62) = all_65_39 & op(e1,
% 169.71/25.61 | all_65_64) = all_65_40 & op(e1, all_65_66) = all_65_41 & op(e1,
% 169.71/25.61 | all_65_68) = all_65_42 & op(e1, all_65_70) = all_65_43 & op(e1,
% 169.71/25.61 | all_65_72) = all_65_44 & op(e1, all_65_74) = all_65_45 & op(e1,
% 169.71/25.61 | all_65_76) = all_65_46 & op(e1, all_65_79) = all_65_47 & op(e1, e3)
% 169.71/25.61 | = all_65_64 & op(e1, e2) = all_65_66 & op(e1, e1) = all_65_68 &
% 169.71/25.61 | op(e1, e0) = all_65_70 & op(e0, all_65_48) = all_65_49 & op(e0,
% 169.71/25.61 | all_65_50) = all_65_51 & op(e0, all_65_52) = all_65_53 & op(e0,
% 169.71/25.61 | all_65_54) = all_65_55 & op(e0, all_65_56) = all_65_57 & op(e0,
% 169.71/25.61 | all_65_58) = all_65_59 & op(e0, all_65_60) = all_65_61 & op(e0,
% 169.71/25.61 | all_65_62) = all_65_63 & op(e0, all_65_64) = all_65_65 & op(e0,
% 169.71/25.61 | all_65_66) = all_65_67 & op(e0, all_65_68) = all_65_69 & op(e0,
% 169.71/25.61 | all_65_70) = all_65_71 & op(e0, all_65_72) = all_65_73 & op(e0,
% 169.71/25.61 | all_65_74) = all_65_75 & op(e0, all_65_76) = all_65_77 & op(e0,
% 169.71/25.61 | all_65_79) = all_65_78 & op(e0, e3) = all_65_72 & op(e0, e2) =
% 169.71/25.61 | all_65_74 & op(e0, e1) = all_65_76 & op(e0, e0) = all_65_79 &
% 169.71/25.61 | $i(all_65_0) & $i(all_65_1) & $i(all_65_2) & $i(all_65_3) &
% 169.71/25.61 | $i(all_65_4) & $i(all_65_5) & $i(all_65_6) & $i(all_65_7) &
% 169.71/25.61 | $i(all_65_8) & $i(all_65_9) & $i(all_65_10) & $i(all_65_11) &
% 169.71/25.61 | $i(all_65_12) & $i(all_65_13) & $i(all_65_14) & $i(all_65_15) &
% 169.71/25.61 | $i(all_65_16) & $i(all_65_17) & $i(all_65_18) & $i(all_65_19) &
% 169.71/25.61 | $i(all_65_20) & $i(all_65_21) & $i(all_65_22) & $i(all_65_23) &
% 169.71/25.61 | $i(all_65_24) & $i(all_65_25) & $i(all_65_26) & $i(all_65_27) &
% 169.71/25.61 | $i(all_65_28) & $i(all_65_29) & $i(all_65_30) & $i(all_65_31) &
% 169.71/25.61 | $i(all_65_32) & $i(all_65_33) & $i(all_65_34) & $i(all_65_35) &
% 169.71/25.61 | $i(all_65_36) & $i(all_65_37) & $i(all_65_38) & $i(all_65_39) &
% 169.71/25.61 | $i(all_65_40) & $i(all_65_41) & $i(all_65_42) & $i(all_65_43) &
% 169.71/25.61 | $i(all_65_44) & $i(all_65_45) & $i(all_65_46) & $i(all_65_47) &
% 169.71/25.61 | $i(all_65_48) & $i(all_65_49) & $i(all_65_50) & $i(all_65_51) &
% 169.71/25.61 | $i(all_65_52) & $i(all_65_53) & $i(all_65_54) & $i(all_65_55) &
% 169.71/25.61 | $i(all_65_56) & $i(all_65_57) & $i(all_65_58) & $i(all_65_59) &
% 169.71/25.61 | $i(all_65_60) & $i(all_65_61) & $i(all_65_62) & $i(all_65_63) &
% 169.71/25.61 | $i(all_65_64) & $i(all_65_65) & $i(all_65_66) & $i(all_65_67) &
% 169.71/25.61 | $i(all_65_68) & $i(all_65_69) & $i(all_65_70) & $i(all_65_71) &
% 169.71/25.61 | $i(all_65_72) & $i(all_65_73) & $i(all_65_74) & $i(all_65_75) &
% 169.71/25.61 | $i(all_65_76) & $i(all_65_77) & $i(all_65_78) & $i(all_65_79)
% 169.71/25.61 |
% 169.71/25.61 | ALPHA: (272) implies:
% 169.71/25.61 | (273) op(e0, e0) = all_65_79
% 169.71/25.61 | (274) op(e0, e1) = all_65_76
% 169.71/25.61 | (275) op(e0, e2) = all_65_74
% 169.71/25.61 | (276) op(e0, e3) = all_65_72
% 169.71/25.61 | (277) op(e0, all_65_79) = all_65_78
% 169.71/25.61 | (278) op(e0, all_65_76) = all_65_77
% 169.71/25.61 | (279) op(e0, all_65_74) = all_65_75
% 169.71/25.61 | (280) op(e0, all_65_72) = all_65_73
% 169.71/25.62 | (281) op(e0, all_65_70) = all_65_71
% 169.71/25.62 | (282) op(e0, all_65_68) = all_65_69
% 169.71/25.62 | (283) op(e0, all_65_66) = all_65_67
% 169.71/25.62 | (284) op(e0, all_65_64) = all_65_65
% 169.71/25.62 | (285) op(e0, all_65_62) = all_65_63
% 169.71/25.62 | (286) op(e0, all_65_60) = all_65_61
% 169.71/25.62 | (287) op(e0, all_65_58) = all_65_59
% 169.71/25.62 | (288) op(e0, all_65_56) = all_65_57
% 169.71/25.62 | (289) op(e0, all_65_54) = all_65_55
% 169.71/25.62 | (290) op(e0, all_65_52) = all_65_53
% 169.71/25.62 | (291) op(e0, all_65_50) = all_65_51
% 169.71/25.62 | (292) op(e0, all_65_48) = all_65_49
% 169.71/25.62 | (293) op(e1, e0) = all_65_70
% 169.71/25.62 | (294) op(e1, e1) = all_65_68
% 169.71/25.62 | (295) op(e1, e2) = all_65_66
% 169.71/25.62 | (296) op(e1, e3) = all_65_64
% 169.71/25.62 | (297) op(e1, all_65_79) = all_65_47
% 169.71/25.62 | (298) op(e1, all_65_76) = all_65_46
% 169.71/25.62 | (299) op(e1, all_65_74) = all_65_45
% 169.71/25.62 | (300) op(e1, all_65_72) = all_65_44
% 169.71/25.62 | (301) op(e1, all_65_70) = all_65_43
% 169.71/25.62 | (302) op(e1, all_65_68) = all_65_42
% 169.71/25.62 | (303) op(e1, all_65_66) = all_65_41
% 169.71/25.62 | (304) op(e1, all_65_64) = all_65_40
% 169.71/25.62 | (305) op(e1, all_65_62) = all_65_39
% 169.71/25.62 | (306) op(e1, all_65_60) = all_65_38
% 169.71/25.62 | (307) op(e1, all_65_58) = all_65_37
% 169.71/25.62 | (308) op(e1, all_65_56) = all_65_36
% 169.71/25.62 | (309) op(e1, all_65_54) = all_65_35
% 169.71/25.62 | (310) op(e1, all_65_52) = all_65_34
% 169.71/25.62 | (311) op(e1, all_65_50) = all_65_33
% 169.71/25.62 | (312) op(e1, all_65_48) = all_65_32
% 169.71/25.62 | (313) op(e2, e0) = all_65_62
% 169.71/25.62 | (314) op(e2, e1) = all_65_60
% 169.71/25.62 | (315) op(e2, e2) = all_65_58
% 169.71/25.62 | (316) op(e2, e3) = all_65_56
% 169.71/25.62 | (317) op(e2, all_65_79) = all_65_31
% 169.71/25.62 | (318) op(e2, all_65_76) = all_65_30
% 169.71/25.62 | (319) op(e2, all_65_74) = all_65_29
% 169.71/25.62 | (320) op(e2, all_65_72) = all_65_28
% 169.71/25.62 | (321) op(e2, all_65_70) = all_65_27
% 169.71/25.62 | (322) op(e2, all_65_68) = all_65_26
% 169.71/25.62 | (323) op(e2, all_65_66) = all_65_25
% 169.71/25.62 | (324) op(e2, all_65_64) = all_65_24
% 169.71/25.62 | (325) op(e2, all_65_62) = all_65_23
% 169.71/25.62 | (326) op(e2, all_65_60) = all_65_22
% 169.71/25.62 | (327) op(e2, all_65_58) = all_65_21
% 169.71/25.62 | (328) op(e2, all_65_56) = all_65_20
% 169.71/25.62 | (329) op(e2, all_65_54) = all_65_19
% 169.71/25.62 | (330) op(e2, all_65_52) = all_65_18
% 169.71/25.62 | (331) op(e2, all_65_50) = all_65_17
% 169.71/25.62 | (332) op(e2, all_65_48) = all_65_16
% 169.71/25.62 | (333) op(e3, e0) = all_65_54
% 169.71/25.62 | (334) op(e3, e1) = all_65_52
% 169.71/25.62 | (335) op(e3, e2) = all_65_50
% 169.71/25.62 | (336) op(e3, e3) = all_65_48
% 169.71/25.62 | (337) op(e3, all_65_79) = all_65_15
% 169.71/25.62 | (338) op(e3, all_65_76) = all_65_14
% 169.71/25.62 | (339) op(e3, all_65_74) = all_65_13
% 169.71/25.62 | (340) op(e3, all_65_72) = all_65_12
% 169.71/25.62 | (341) op(e3, all_65_70) = all_65_11
% 169.71/25.62 | (342) op(e3, all_65_68) = all_65_10
% 169.71/25.62 | (343) op(e3, all_65_66) = all_65_9
% 169.71/25.62 | (344) op(e3, all_65_64) = all_65_8
% 169.71/25.62 | (345) op(e3, all_65_62) = all_65_7
% 169.71/25.62 | (346) op(e3, all_65_60) = all_65_6
% 169.71/25.62 | (347) op(e3, all_65_58) = all_65_5
% 169.71/25.62 | (348) op(e3, all_65_56) = all_65_4
% 169.71/25.62 | (349) op(e3, all_65_54) = all_65_3
% 169.71/25.62 | (350) op(e3, all_65_52) = all_65_2
% 169.71/25.62 | (351) op(e3, all_65_50) = all_65_1
% 169.71/25.62 | (352) op(e3, all_65_48) = all_65_0
% 169.71/25.62 | (353) op(all_65_79, e0) = all_65_78
% 169.71/25.62 | (354) op(all_65_79, e1) = all_65_77
% 169.71/25.62 | (355) op(all_65_79, e2) = all_65_75
% 169.71/25.62 | (356) op(all_65_79, e3) = all_65_73
% 169.71/25.62 | (357) op(all_65_76, e0) = all_65_71
% 169.71/25.62 | (358) op(all_65_76, e1) = all_65_69
% 169.71/25.62 | (359) op(all_65_76, e2) = all_65_67
% 169.71/25.62 | (360) op(all_65_76, e3) = all_65_65
% 169.71/25.62 | (361) op(all_65_74, e0) = all_65_63
% 169.71/25.62 | (362) op(all_65_74, e1) = all_65_61
% 169.71/25.62 | (363) op(all_65_74, e2) = all_65_59
% 169.71/25.62 | (364) op(all_65_74, e3) = all_65_57
% 169.71/25.62 | (365) op(all_65_72, e0) = all_65_55
% 169.71/25.62 | (366) op(all_65_72, e1) = all_65_53
% 169.71/25.62 | (367) op(all_65_72, e2) = all_65_51
% 169.71/25.62 | (368) op(all_65_72, e3) = all_65_49
% 169.71/25.62 | (369) op(all_65_70, e0) = all_65_47
% 169.71/25.62 | (370) op(all_65_70, e1) = all_65_46
% 169.71/25.62 | (371) op(all_65_70, e2) = all_65_45
% 169.71/25.62 | (372) op(all_65_70, e3) = all_65_44
% 169.71/25.62 | (373) op(all_65_68, e0) = all_65_43
% 169.71/25.62 | (374) op(all_65_68, e1) = all_65_42
% 169.71/25.62 | (375) op(all_65_68, e2) = all_65_41
% 169.71/25.62 | (376) op(all_65_68, e3) = all_65_40
% 169.71/25.62 | (377) op(all_65_66, e0) = all_65_39
% 169.71/25.62 | (378) op(all_65_66, e1) = all_65_38
% 169.71/25.62 | (379) op(all_65_66, e2) = all_65_37
% 169.71/25.62 | (380) op(all_65_66, e3) = all_65_36
% 169.71/25.62 | (381) op(all_65_64, e0) = all_65_35
% 169.71/25.62 | (382) op(all_65_64, e1) = all_65_34
% 169.71/25.62 | (383) op(all_65_64, e2) = all_65_33
% 169.71/25.62 | (384) op(all_65_64, e3) = all_65_32
% 169.71/25.62 | (385) op(all_65_62, e0) = all_65_31
% 169.71/25.62 | (386) op(all_65_62, e1) = all_65_30
% 169.71/25.62 | (387) op(all_65_62, e2) = all_65_29
% 169.71/25.62 | (388) op(all_65_62, e3) = all_65_28
% 169.71/25.62 | (389) op(all_65_60, e0) = all_65_27
% 169.71/25.62 | (390) op(all_65_60, e1) = all_65_26
% 169.71/25.63 | (391) op(all_65_60, e2) = all_65_25
% 169.71/25.63 | (392) op(all_65_60, e3) = all_65_24
% 169.71/25.63 | (393) op(all_65_58, e0) = all_65_23
% 169.71/25.63 | (394) op(all_65_58, e1) = all_65_22
% 169.71/25.63 | (395) op(all_65_58, e2) = all_65_21
% 169.71/25.63 | (396) op(all_65_58, e3) = all_65_20
% 169.71/25.63 | (397) op(all_65_56, e0) = all_65_19
% 169.71/25.63 | (398) op(all_65_56, e1) = all_65_18
% 169.71/25.63 | (399) op(all_65_56, e2) = all_65_17
% 169.71/25.63 | (400) op(all_65_56, e3) = all_65_16
% 169.71/25.63 | (401) op(all_65_54, e0) = all_65_15
% 169.71/25.63 | (402) op(all_65_54, e1) = all_65_14
% 169.71/25.63 | (403) op(all_65_54, e2) = all_65_13
% 169.71/25.63 | (404) op(all_65_54, e3) = all_65_12
% 169.71/25.63 | (405) op(all_65_52, e0) = all_65_11
% 169.71/25.63 | (406) op(all_65_52, e1) = all_65_10
% 169.71/25.63 | (407) op(all_65_52, e2) = all_65_9
% 169.71/25.63 | (408) op(all_65_52, e3) = all_65_8
% 169.71/25.63 | (409) op(all_65_50, e0) = all_65_7
% 169.71/25.63 | (410) op(all_65_50, e1) = all_65_6
% 169.71/25.63 | (411) op(all_65_50, e2) = all_65_5
% 169.71/25.63 | (412) op(all_65_50, e3) = all_65_4
% 169.71/25.63 | (413) op(all_65_48, e0) = all_65_3
% 169.71/25.63 | (414) op(all_65_48, e1) = all_65_2
% 169.71/25.63 | (415) op(all_65_48, e2) = all_65_1
% 169.71/25.63 | (416) op(all_65_48, e3) = all_65_0
% 169.71/25.63 |
% 169.71/25.63 | GROUND_INST: instantiating (50) with all_34_2, all_42_2, e0, e0, simplifying
% 169.71/25.63 | with (97), (109) gives:
% 169.71/25.63 | (417) all_42_2 = all_34_2
% 169.71/25.63 |
% 169.71/25.63 | GROUND_INST: instantiating (50) with all_34_2, all_50_2, e0, e0, simplifying
% 169.71/25.63 | with (97), (121) gives:
% 169.71/25.63 | (418) all_50_2 = all_34_2
% 169.71/25.63 |
% 169.71/25.63 | GROUND_INST: instantiating (50) with all_28_2, all_50_2, e0, e0, simplifying
% 169.71/25.63 | with (88), (121) gives:
% 169.71/25.63 | (419) all_50_2 = all_28_2
% 169.71/25.63 |
% 169.71/25.63 | GROUND_INST: instantiating (50) with all_42_2, all_61_15, e0, e0, simplifying
% 169.71/25.63 | with (109), (223) gives:
% 169.71/25.63 | (420) all_61_15 = all_42_2
% 169.71/25.63 |
% 169.71/25.63 | GROUND_INST: instantiating (50) with all_61_15, all_63_15, e0, e0, simplifying
% 169.71/25.63 | with (223), (240) gives:
% 169.71/25.63 | (421) all_63_15 = all_61_15
% 169.71/25.63 |
% 169.71/25.63 | GROUND_INST: instantiating (50) with all_20_2, all_63_15, e0, e0, simplifying
% 169.71/25.63 | with (76), (240) gives:
% 169.71/25.63 | (422) all_63_15 = all_20_2
% 169.71/25.63 |
% 169.71/25.63 | GROUND_INST: instantiating (50) with all_50_2, all_65_79, e0, e0, simplifying
% 169.71/25.63 | with (121), (273) gives:
% 169.71/25.63 | (423) all_65_79 = all_50_2
% 169.71/25.63 |
% 169.71/25.63 | GROUND_INST: instantiating (50) with all_46_2, all_65_79, e0, e0, simplifying
% 169.71/25.63 | with (115), (273) gives:
% 169.71/25.63 | (424) all_65_79 = all_46_2
% 169.71/25.63 |
% 169.71/25.63 | GROUND_INST: instantiating (50) with all_63_14, all_65_76, e1, e0, simplifying
% 169.71/25.63 | with (241), (274) gives:
% 169.71/25.63 | (425) all_65_76 = all_63_14
% 169.71/25.63 |
% 169.71/25.63 | GROUND_INST: instantiating (50) with all_61_11, all_65_76, e1, e0, simplifying
% 169.71/25.63 | with (224), (274) gives:
% 169.71/25.63 | (426) all_65_76 = all_61_11
% 169.71/25.63 |
% 169.71/25.63 | GROUND_INST: instantiating (50) with all_63_13, all_65_74, e2, e0, simplifying
% 169.71/25.63 | with (242), (275) gives:
% 169.71/25.63 | (427) all_65_74 = all_63_13
% 169.71/25.63 |
% 169.71/25.63 | GROUND_INST: instantiating (50) with all_61_7, all_65_74, e2, e0, simplifying
% 169.71/25.63 | with (225), (275) gives:
% 169.71/25.63 | (428) all_65_74 = all_61_7
% 169.71/25.63 |
% 169.71/25.63 | GROUND_INST: instantiating (50) with all_63_12, all_65_72, e3, e0, simplifying
% 169.71/25.63 | with (243), (276) gives:
% 169.71/25.63 | (429) all_65_72 = all_63_12
% 169.71/25.63 |
% 169.71/25.63 | GROUND_INST: instantiating (50) with all_61_3, all_65_72, e3, e0, simplifying
% 169.71/25.63 | with (226), (276) gives:
% 169.71/25.63 | (430) all_65_72 = all_61_3
% 169.71/25.63 |
% 169.71/25.63 | GROUND_INST: instantiating (50) with all_63_11, all_65_70, e0, e1, simplifying
% 169.71/25.63 | with (244), (293) gives:
% 169.71/25.63 | (431) all_65_70 = all_63_11
% 169.71/25.63 |
% 169.71/25.63 | GROUND_INST: instantiating (50) with all_61_14, all_65_70, e0, e1, simplifying
% 169.71/25.63 | with (227), (293) gives:
% 169.71/25.63 | (432) all_65_70 = all_61_14
% 169.71/25.63 |
% 169.71/25.63 | GROUND_INST: instantiating (50) with all_10_2, all_18_2, e1, e1, simplifying
% 169.71/25.63 | with (61), (73) gives:
% 169.71/25.63 | (433) all_18_2 = all_10_2
% 169.71/25.63 |
% 169.71/25.63 | GROUND_INST: instantiating (50) with all_24_2, all_61_10, e1, e1, simplifying
% 169.71/25.63 | with (82), (228) gives:
% 169.71/25.63 | (434) all_61_10 = all_24_2
% 169.71/25.63 |
% 169.71/25.63 | GROUND_INST: instantiating (50) with all_18_2, all_61_10, e1, e1, simplifying
% 169.71/25.63 | with (73), (228) gives:
% 169.71/25.63 | (435) all_61_10 = all_18_2
% 169.71/25.63 |
% 169.71/25.63 | GROUND_INST: instantiating (50) with all_61_10, all_63_10, e1, e1, simplifying
% 169.71/25.63 | with (228), (245) gives:
% 169.71/25.63 | (436) all_63_10 = all_61_10
% 169.71/25.63 |
% 169.71/25.63 | GROUND_INST: instantiating (50) with all_32_2, all_63_10, e1, e1, simplifying
% 169.71/25.63 | with (94), (245) gives:
% 169.71/25.63 | (437) all_63_10 = all_32_2
% 169.71/25.63 |
% 169.71/25.63 | GROUND_INST: instantiating (50) with all_8_2, all_63_10, e1, e1, simplifying
% 169.71/25.63 | with (58), (245) gives:
% 169.71/25.63 | (438) all_63_10 = all_8_2
% 169.71/25.63 |
% 169.71/25.63 | GROUND_INST: instantiating (50) with all_18_2, all_65_68, e1, e1, simplifying
% 169.71/25.63 | with (73), (294) gives:
% 169.71/25.63 | (439) all_65_68 = all_18_2
% 169.71/25.63 |
% 169.71/25.63 | GROUND_INST: instantiating (50) with all_4_2, all_65_68, e1, e1, simplifying
% 169.71/25.63 | with (52), (294) gives:
% 169.71/25.63 | (440) all_65_68 = all_4_2
% 169.71/25.63 |
% 169.71/25.63 | GROUND_INST: instantiating (50) with all_63_9, all_65_66, e2, e1, simplifying
% 169.71/25.63 | with (246), (295) gives:
% 169.71/25.63 | (441) all_65_66 = all_63_9
% 169.71/25.63 |
% 169.71/25.63 | GROUND_INST: instantiating (50) with all_61_6, all_65_66, e2, e1, simplifying
% 169.71/25.63 | with (229), (295) gives:
% 169.71/25.63 | (442) all_65_66 = all_61_6
% 169.71/25.63 |
% 169.71/25.63 | GROUND_INST: instantiating (50) with all_63_8, all_65_64, e3, e1, simplifying
% 169.71/25.63 | with (247), (296) gives:
% 169.71/25.63 | (443) all_65_64 = all_63_8
% 169.71/25.63 |
% 169.71/25.63 | GROUND_INST: instantiating (50) with all_61_2, all_65_64, e3, e1, simplifying
% 169.71/25.63 | with (230), (296) gives:
% 169.71/25.63 | (444) all_65_64 = all_61_2
% 169.71/25.63 |
% 169.71/25.63 | GROUND_INST: instantiating (50) with all_63_7, all_65_62, e0, e2, simplifying
% 169.71/25.63 | with (248), (313) gives:
% 169.71/25.63 | (445) all_65_62 = all_63_7
% 169.71/25.63 |
% 169.71/25.63 | GROUND_INST: instantiating (50) with all_61_13, all_65_62, e0, e2, simplifying
% 169.71/25.63 | with (231), (313) gives:
% 169.71/25.63 | (446) all_65_62 = all_61_13
% 169.71/25.63 |
% 169.71/25.63 | GROUND_INST: instantiating (50) with all_63_6, all_65_60, e1, e2, simplifying
% 169.71/25.63 | with (249), (314) gives:
% 169.71/25.63 | (447) all_65_60 = all_63_6
% 169.71/25.63 |
% 169.71/25.63 | GROUND_INST: instantiating (50) with all_61_9, all_65_60, e1, e2, simplifying
% 169.71/25.63 | with (232), (314) gives:
% 169.71/25.63 | (448) all_65_60 = all_61_9
% 169.71/25.63 |
% 169.71/25.63 | GROUND_INST: instantiating (50) with all_6_2, all_22_2, e2, e2, simplifying
% 169.71/25.63 | with (55), (79) gives:
% 169.71/25.63 | (449) all_22_2 = all_6_2
% 169.71/25.63 |
% 169.71/25.63 | GROUND_INST: instantiating (50) with all_22_2, all_61_5, e2, e2, simplifying
% 169.71/25.63 | with (79), (233) gives:
% 169.71/25.64 | (450) all_61_5 = all_22_2
% 169.71/25.64 |
% 169.71/25.64 | GROUND_INST: instantiating (50) with all_12_2, all_61_5, e2, e2, simplifying
% 169.71/25.64 | with (64), (233) gives:
% 169.71/25.64 | (451) all_61_5 = all_12_2
% 169.71/25.64 |
% 169.71/25.64 | GROUND_INST: instantiating (50) with all_38_2, all_63_5, e2, e2, simplifying
% 169.71/25.64 | with (103), (250) gives:
% 169.71/25.64 | (452) all_63_5 = all_38_2
% 169.71/25.64 |
% 169.71/25.64 | GROUND_INST: instantiating (50) with all_30_2, all_63_5, e2, e2, simplifying
% 169.71/25.64 | with (91), (250) gives:
% 169.71/25.64 | (453) all_63_5 = all_30_2
% 169.71/25.64 |
% 169.71/25.64 | GROUND_INST: instantiating (50) with all_22_2, all_63_5, e2, e2, simplifying
% 169.71/25.64 | with (79), (250) gives:
% 169.71/25.64 | (454) all_63_5 = all_22_2
% 169.71/25.64 |
% 169.71/25.64 | GROUND_INST: instantiating (50) with all_38_2, all_65_58, e2, e2, simplifying
% 169.71/25.64 | with (103), (315) gives:
% 169.71/25.64 | (455) all_65_58 = all_38_2
% 169.71/25.64 |
% 169.71/25.64 | GROUND_INST: instantiating (50) with all_16_2, all_65_58, e2, e2, simplifying
% 169.71/25.64 | with (70), (315) gives:
% 169.71/25.64 | (456) all_65_58 = all_16_2
% 169.71/25.64 |
% 169.71/25.64 | GROUND_INST: instantiating (50) with all_63_4, all_65_56, e3, e2, simplifying
% 169.71/25.64 | with (251), (316) gives:
% 169.71/25.64 | (457) all_65_56 = all_63_4
% 169.71/25.64 |
% 169.71/25.64 | GROUND_INST: instantiating (50) with all_61_1, all_65_56, e3, e2, simplifying
% 169.71/25.64 | with (234), (316) gives:
% 169.71/25.64 | (458) all_65_56 = all_61_1
% 169.71/25.64 |
% 169.71/25.64 | GROUND_INST: instantiating (50) with all_63_3, all_65_54, e0, e3, simplifying
% 169.71/25.64 | with (252), (333) gives:
% 169.71/25.64 | (459) all_65_54 = all_63_3
% 169.71/25.64 |
% 169.71/25.64 | GROUND_INST: instantiating (50) with all_61_12, all_65_54, e0, e3, simplifying
% 169.71/25.64 | with (235), (333) gives:
% 169.71/25.64 | (460) all_65_54 = all_61_12
% 169.71/25.64 |
% 169.71/25.64 | GROUND_INST: instantiating (50) with all_63_2, all_65_52, e1, e3, simplifying
% 169.71/25.64 | with (253), (334) gives:
% 169.71/25.64 | (461) all_65_52 = all_63_2
% 169.71/25.64 |
% 169.71/25.64 | GROUND_INST: instantiating (50) with all_61_8, all_65_52, e1, e3, simplifying
% 169.71/25.64 | with (236), (334) gives:
% 169.71/25.64 | (462) all_65_52 = all_61_8
% 169.71/25.64 |
% 169.71/25.64 | GROUND_INST: instantiating (50) with all_63_1, all_65_50, e2, e3, simplifying
% 169.71/25.64 | with (254), (335) gives:
% 169.71/25.64 | (463) all_65_50 = all_63_1
% 169.71/25.64 |
% 169.71/25.64 | GROUND_INST: instantiating (50) with all_61_4, all_65_50, e2, e3, simplifying
% 169.71/25.64 | with (237), (335) gives:
% 169.71/25.64 | (464) all_65_50 = all_61_4
% 169.71/25.64 |
% 169.71/25.64 | GROUND_INST: instantiating (50) with all_26_2, all_40_2, e3, e3, simplifying
% 169.71/25.64 | with (85), (106) gives:
% 169.71/25.64 | (465) all_40_2 = all_26_2
% 169.71/25.64 |
% 169.71/25.64 | GROUND_INST: instantiating (50) with all_14_2, all_48_2, e3, e3, simplifying
% 169.71/25.64 | with (67), (118) gives:
% 169.71/25.64 | (466) all_48_2 = all_14_2
% 169.71/25.64 |
% 169.71/25.64 | GROUND_INST: instantiating (50) with all_40_2, all_61_0, e3, e3, simplifying
% 169.71/25.64 | with (106), (238) gives:
% 169.71/25.64 | (467) all_61_0 = all_40_2
% 169.71/25.64 |
% 169.71/25.64 | GROUND_INST: instantiating (50) with all_36_2, all_61_0, e3, e3, simplifying
% 169.71/25.64 | with (100), (238) gives:
% 169.71/25.64 | (468) all_61_0 = all_36_2
% 169.71/25.64 |
% 169.71/25.64 | GROUND_INST: instantiating (50) with all_48_2, all_63_0, e3, e3, simplifying
% 169.71/25.64 | with (118), (255) gives:
% 169.71/25.64 | (469) all_63_0 = all_48_2
% 169.71/25.64 |
% 169.71/25.64 | GROUND_INST: instantiating (50) with all_40_2, all_63_0, e3, e3, simplifying
% 169.71/25.64 | with (106), (255) gives:
% 169.71/25.64 | (470) all_63_0 = all_40_2
% 169.71/25.64 |
% 169.71/25.64 | GROUND_INST: instantiating (50) with all_63_0, all_65_48, e3, e3, simplifying
% 169.71/25.64 | with (255), (336) gives:
% 169.71/25.64 | (471) all_65_48 = all_63_0
% 169.71/25.64 |
% 169.71/25.64 | GROUND_INST: instantiating (50) with all_44_2, all_65_48, e3, e3, simplifying
% 169.71/25.64 | with (112), (336) gives:
% 169.71/25.64 | (472) all_65_48 = all_44_2
% 169.71/25.64 |
% 169.71/25.64 | GROUND_INST: instantiating (49) with all_56_3, all_58_3, e0, simplifying with
% 169.71/25.64 | (144), (153) gives:
% 169.71/25.64 | (473) all_58_3 = all_56_3
% 169.71/25.64 |
% 169.71/25.64 | GROUND_INST: instantiating (49) with all_54_3, all_58_3, e0, simplifying with
% 169.71/25.64 | (135), (153) gives:
% 169.71/25.64 | (474) all_58_3 = all_54_3
% 169.71/25.64 |
% 169.71/25.64 | GROUND_INST: instantiating (49) with all_52_3, all_58_3, e0, simplifying with
% 169.71/25.64 | (124), (153) gives:
% 169.71/25.64 | (475) all_58_3 = all_52_3
% 169.71/25.64 |
% 169.71/25.64 | GROUND_INST: instantiating (49) with all_56_2, all_58_2, e1, simplifying with
% 169.71/25.64 | (145), (154) gives:
% 169.71/25.64 | (476) all_58_2 = all_56_2
% 169.71/25.64 |
% 169.71/25.64 | GROUND_INST: instantiating (49) with all_54_2, all_58_2, e1, simplifying with
% 169.71/25.64 | (136), (154) gives:
% 169.71/25.64 | (477) all_58_2 = all_54_2
% 169.71/25.64 |
% 169.71/25.64 | GROUND_INST: instantiating (49) with all_52_2, all_58_2, e1, simplifying with
% 169.71/25.64 | (125), (154) gives:
% 169.71/25.64 | (478) all_58_2 = all_52_2
% 169.71/25.64 |
% 169.71/25.64 | GROUND_INST: instantiating (49) with all_56_1, all_58_1, e2, simplifying with
% 169.71/25.64 | (146), (155) gives:
% 169.71/25.64 | (479) all_58_1 = all_56_1
% 169.71/25.64 |
% 169.71/25.64 | GROUND_INST: instantiating (49) with all_54_1, all_58_1, e2, simplifying with
% 169.71/25.64 | (137), (155) gives:
% 169.71/25.64 | (480) all_58_1 = all_54_1
% 169.71/25.64 |
% 169.71/25.64 | GROUND_INST: instantiating (49) with all_52_1, all_58_1, e2, simplifying with
% 169.71/25.64 | (126), (155) gives:
% 169.71/25.64 | (481) all_58_1 = all_52_1
% 169.71/25.64 |
% 169.71/25.64 | GROUND_INST: instantiating (49) with all_56_0, all_58_0, e3, simplifying with
% 169.71/25.64 | (147), (156) gives:
% 169.71/25.64 | (482) all_58_0 = all_56_0
% 169.71/25.64 |
% 169.71/25.64 | GROUND_INST: instantiating (49) with all_54_0, all_58_0, e3, simplifying with
% 169.71/25.64 | (138), (156) gives:
% 169.71/25.64 | (483) all_58_0 = all_54_0
% 169.71/25.64 |
% 169.71/25.64 | GROUND_INST: instantiating (49) with all_52_0, all_58_0, e3, simplifying with
% 169.71/25.64 | (127), (156) gives:
% 169.71/25.64 | (484) all_58_0 = all_52_0
% 169.71/25.64 |
% 169.71/25.64 | COMBINE_EQS: (471), (472) imply:
% 169.71/25.64 | (485) all_63_0 = all_44_2
% 169.71/25.64 |
% 169.71/25.64 | SIMP: (485) implies:
% 169.71/25.64 | (486) all_63_0 = all_44_2
% 169.71/25.64 |
% 169.71/25.64 | COMBINE_EQS: (463), (464) imply:
% 169.71/25.64 | (487) all_63_1 = all_61_4
% 169.71/25.64 |
% 169.71/25.64 | SIMP: (487) implies:
% 169.71/25.64 | (488) all_63_1 = all_61_4
% 169.71/25.64 |
% 169.71/25.64 | COMBINE_EQS: (461), (462) imply:
% 169.71/25.64 | (489) all_63_2 = all_61_8
% 169.71/25.64 |
% 169.71/25.64 | COMBINE_EQS: (459), (460) imply:
% 169.71/25.64 | (490) all_63_3 = all_61_12
% 169.71/25.64 |
% 169.71/25.64 | SIMP: (490) implies:
% 169.71/25.64 | (491) all_63_3 = all_61_12
% 169.71/25.64 |
% 169.71/25.64 | COMBINE_EQS: (457), (458) imply:
% 169.71/25.64 | (492) all_63_4 = all_61_1
% 169.71/25.64 |
% 169.71/25.64 | SIMP: (492) implies:
% 169.71/25.64 | (493) all_63_4 = all_61_1
% 169.71/25.64 |
% 169.71/25.64 | COMBINE_EQS: (455), (456) imply:
% 169.71/25.64 | (494) all_38_2 = all_16_2
% 169.71/25.64 |
% 169.71/25.64 | SIMP: (494) implies:
% 169.71/25.64 | (495) all_38_2 = all_16_2
% 169.71/25.64 |
% 169.71/25.64 | COMBINE_EQS: (447), (448) imply:
% 169.71/25.64 | (496) all_63_6 = all_61_9
% 169.71/25.64 |
% 169.71/25.64 | SIMP: (496) implies:
% 169.71/25.64 | (497) all_63_6 = all_61_9
% 169.71/25.64 |
% 169.71/25.64 | COMBINE_EQS: (445), (446) imply:
% 169.71/25.64 | (498) all_63_7 = all_61_13
% 169.71/25.64 |
% 169.71/25.64 | COMBINE_EQS: (443), (444) imply:
% 169.71/25.64 | (499) all_63_8 = all_61_2
% 169.71/25.64 |
% 169.71/25.64 | COMBINE_EQS: (441), (442) imply:
% 169.71/25.64 | (500) all_63_9 = all_61_6
% 169.71/25.64 |
% 169.71/25.64 | SIMP: (500) implies:
% 169.71/25.64 | (501) all_63_9 = all_61_6
% 169.71/25.64 |
% 169.71/25.64 | COMBINE_EQS: (439), (440) imply:
% 169.71/25.64 | (502) all_18_2 = all_4_2
% 169.71/25.64 |
% 169.71/25.64 | SIMP: (502) implies:
% 169.71/25.64 | (503) all_18_2 = all_4_2
% 169.71/25.64 |
% 169.71/25.64 | COMBINE_EQS: (431), (432) imply:
% 169.71/25.64 | (504) all_63_11 = all_61_14
% 169.71/25.64 |
% 169.71/25.64 | SIMP: (504) implies:
% 169.71/25.64 | (505) all_63_11 = all_61_14
% 169.71/25.64 |
% 169.71/25.64 | COMBINE_EQS: (429), (430) imply:
% 169.71/25.64 | (506) all_63_12 = all_61_3
% 169.71/25.64 |
% 169.71/25.64 | COMBINE_EQS: (427), (428) imply:
% 169.71/25.64 | (507) all_63_13 = all_61_7
% 169.71/25.64 |
% 169.71/25.64 | SIMP: (507) implies:
% 169.71/25.64 | (508) all_63_13 = all_61_7
% 169.71/25.64 |
% 169.71/25.64 | COMBINE_EQS: (425), (426) imply:
% 169.71/25.64 | (509) all_63_14 = all_61_11
% 169.71/25.64 |
% 169.71/25.64 | SIMP: (509) implies:
% 169.71/25.64 | (510) all_63_14 = all_61_11
% 169.71/25.64 |
% 169.71/25.64 | COMBINE_EQS: (423), (424) imply:
% 169.71/25.64 | (511) all_50_2 = all_46_2
% 169.71/25.64 |
% 169.71/25.64 | SIMP: (511) implies:
% 169.71/25.64 | (512) all_50_2 = all_46_2
% 169.71/25.64 |
% 169.71/25.64 | COMBINE_EQS: (470), (486) imply:
% 169.71/25.64 | (513) all_44_2 = all_40_2
% 169.71/25.64 |
% 169.71/25.64 | COMBINE_EQS: (469), (486) imply:
% 169.71/25.64 | (514) all_48_2 = all_44_2
% 169.71/25.64 |
% 169.71/25.64 | SIMP: (514) implies:
% 169.71/25.64 | (515) all_48_2 = all_44_2
% 169.71/25.64 |
% 169.71/25.64 | COMBINE_EQS: (452), (453) imply:
% 169.71/25.64 | (516) all_38_2 = all_30_2
% 169.71/25.64 |
% 169.71/25.64 | SIMP: (516) implies:
% 169.71/25.64 | (517) all_38_2 = all_30_2
% 169.71/25.64 |
% 169.71/25.64 | COMBINE_EQS: (453), (454) imply:
% 169.71/25.64 | (518) all_30_2 = all_22_2
% 169.71/25.64 |
% 169.71/25.64 | COMBINE_EQS: (437), (438) imply:
% 169.71/25.64 | (519) all_32_2 = all_8_2
% 169.71/25.64 |
% 169.71/25.64 | COMBINE_EQS: (436), (437) imply:
% 169.71/25.64 | (520) all_61_10 = all_32_2
% 169.71/25.64 |
% 169.71/25.64 | SIMP: (520) implies:
% 169.71/25.64 | (521) all_61_10 = all_32_2
% 169.71/25.64 |
% 169.71/25.64 | COMBINE_EQS: (421), (422) imply:
% 169.71/25.64 | (522) all_61_15 = all_20_2
% 169.71/25.64 |
% 169.71/25.64 | SIMP: (522) implies:
% 169.71/25.64 | (523) all_61_15 = all_20_2
% 169.71/25.64 |
% 169.71/25.64 | COMBINE_EQS: (467), (468) imply:
% 169.71/25.64 | (524) all_40_2 = all_36_2
% 169.71/25.64 |
% 169.71/25.64 | SIMP: (524) implies:
% 169.71/25.64 | (525) all_40_2 = all_36_2
% 169.71/25.64 |
% 169.71/25.64 | COMBINE_EQS: (450), (451) imply:
% 169.71/25.64 | (526) all_22_2 = all_12_2
% 169.71/25.64 |
% 169.71/25.64 | SIMP: (526) implies:
% 169.71/25.64 | (527) all_22_2 = all_12_2
% 169.71/25.64 |
% 169.71/25.64 | COMBINE_EQS: (434), (521) imply:
% 169.71/25.64 | (528) all_32_2 = all_24_2
% 169.71/25.64 |
% 169.71/25.64 | SIMP: (528) implies:
% 169.71/25.65 | (529) all_32_2 = all_24_2
% 169.71/25.65 |
% 169.71/25.65 | COMBINE_EQS: (434), (435) imply:
% 169.71/25.65 | (530) all_24_2 = all_18_2
% 169.71/25.65 |
% 169.71/25.65 | COMBINE_EQS: (420), (523) imply:
% 169.71/25.65 | (531) all_42_2 = all_20_2
% 169.71/25.65 |
% 169.71/25.65 | SIMP: (531) implies:
% 169.71/25.65 | (532) all_42_2 = all_20_2
% 169.71/25.65 |
% 169.71/25.65 | COMBINE_EQS: (482), (483) imply:
% 169.71/25.65 | (533) all_56_0 = all_54_0
% 169.71/25.65 |
% 169.71/25.65 | COMBINE_EQS: (482), (484) imply:
% 169.71/25.65 | (534) all_56_0 = all_52_0
% 169.71/25.65 |
% 169.71/25.65 | COMBINE_EQS: (479), (480) imply:
% 169.71/25.65 | (535) all_56_1 = all_54_1
% 169.71/25.65 |
% 169.71/25.65 | COMBINE_EQS: (479), (481) imply:
% 169.71/25.65 | (536) all_56_1 = all_52_1
% 169.71/25.65 |
% 169.71/25.65 | COMBINE_EQS: (476), (477) imply:
% 169.71/25.65 | (537) all_56_2 = all_54_2
% 169.71/25.65 |
% 169.71/25.65 | COMBINE_EQS: (476), (478) imply:
% 169.71/25.65 | (538) all_56_2 = all_52_2
% 169.71/25.65 |
% 169.71/25.65 | COMBINE_EQS: (473), (475) imply:
% 169.71/25.65 | (539) all_56_3 = all_52_3
% 169.71/25.65 |
% 169.71/25.65 | COMBINE_EQS: (473), (474) imply:
% 169.71/25.65 | (540) all_56_3 = all_54_3
% 169.71/25.65 |
% 169.71/25.65 | COMBINE_EQS: (533), (534) imply:
% 169.71/25.65 | (541) all_54_0 = all_52_0
% 169.71/25.65 |
% 169.71/25.65 | COMBINE_EQS: (535), (536) imply:
% 169.71/25.65 | (542) all_54_1 = all_52_1
% 169.71/25.65 |
% 169.71/25.65 | COMBINE_EQS: (537), (538) imply:
% 169.71/25.65 | (543) all_54_2 = all_52_2
% 169.71/25.65 |
% 169.71/25.65 | COMBINE_EQS: (539), (540) imply:
% 169.71/25.65 | (544) all_54_3 = all_52_3
% 169.71/25.65 |
% 169.71/25.65 | SIMP: (544) implies:
% 169.71/25.65 | (545) all_54_3 = all_52_3
% 169.71/25.65 |
% 169.71/25.65 | COMBINE_EQS: (419), (512) imply:
% 169.71/25.65 | (546) all_46_2 = all_28_2
% 169.71/25.65 |
% 169.71/25.65 | COMBINE_EQS: (418), (512) imply:
% 169.71/25.65 | (547) all_46_2 = all_34_2
% 169.71/25.65 |
% 169.71/25.65 | COMBINE_EQS: (466), (515) imply:
% 169.71/25.65 | (548) all_44_2 = all_14_2
% 169.71/25.65 |
% 169.71/25.65 | SIMP: (548) implies:
% 169.71/25.65 | (549) all_44_2 = all_14_2
% 169.71/25.65 |
% 169.71/25.65 | COMBINE_EQS: (546), (547) imply:
% 169.71/25.65 | (550) all_34_2 = all_28_2
% 169.71/25.65 |
% 169.71/25.65 | SIMP: (550) implies:
% 169.71/25.65 | (551) all_34_2 = all_28_2
% 169.71/25.65 |
% 169.71/25.65 | COMBINE_EQS: (513), (549) imply:
% 169.71/25.65 | (552) all_40_2 = all_14_2
% 169.71/25.65 |
% 169.71/25.65 | SIMP: (552) implies:
% 169.71/25.65 | (553) all_40_2 = all_14_2
% 169.71/25.65 |
% 169.71/25.65 | COMBINE_EQS: (417), (532) imply:
% 169.71/25.65 | (554) all_34_2 = all_20_2
% 169.71/25.65 |
% 169.71/25.65 | SIMP: (554) implies:
% 169.71/25.65 | (555) all_34_2 = all_20_2
% 169.71/25.65 |
% 169.71/25.65 | COMBINE_EQS: (465), (525) imply:
% 169.71/25.65 | (556) all_36_2 = all_26_2
% 169.71/25.65 |
% 169.71/25.65 | COMBINE_EQS: (525), (553) imply:
% 169.71/25.65 | (557) all_36_2 = all_14_2
% 169.71/25.65 |
% 169.71/25.65 | COMBINE_EQS: (495), (517) imply:
% 169.71/25.65 | (558) all_30_2 = all_16_2
% 169.71/25.65 |
% 169.71/25.65 | SIMP: (558) implies:
% 169.71/25.65 | (559) all_30_2 = all_16_2
% 169.71/25.65 |
% 169.71/25.65 | COMBINE_EQS: (556), (557) imply:
% 169.71/25.65 | (560) all_26_2 = all_14_2
% 169.71/25.65 |
% 169.71/25.65 | SIMP: (560) implies:
% 169.71/25.65 | (561) all_26_2 = all_14_2
% 169.71/25.65 |
% 169.71/25.65 | COMBINE_EQS: (551), (555) imply:
% 169.71/25.65 | (562) all_28_2 = all_20_2
% 169.71/25.65 |
% 169.71/25.65 | SIMP: (562) implies:
% 169.71/25.65 | (563) all_28_2 = all_20_2
% 169.71/25.65 |
% 169.71/25.65 | COMBINE_EQS: (519), (529) imply:
% 169.71/25.65 | (564) all_24_2 = all_8_2
% 169.71/25.65 |
% 169.71/25.65 | SIMP: (564) implies:
% 169.71/25.65 | (565) all_24_2 = all_8_2
% 169.71/25.65 |
% 169.71/25.65 | COMBINE_EQS: (518), (559) imply:
% 169.71/25.65 | (566) all_22_2 = all_16_2
% 169.71/25.65 |
% 169.71/25.65 | SIMP: (566) implies:
% 169.71/25.65 | (567) all_22_2 = all_16_2
% 169.71/25.65 |
% 169.71/25.65 | COMBINE_EQS: (530), (565) imply:
% 169.71/25.65 | (568) all_18_2 = all_8_2
% 169.71/25.65 |
% 169.71/25.65 | SIMP: (568) implies:
% 169.71/25.65 | (569) all_18_2 = all_8_2
% 169.71/25.65 |
% 169.71/25.65 | COMBINE_EQS: (449), (567) imply:
% 169.71/25.65 | (570) all_16_2 = all_6_2
% 169.71/25.65 |
% 169.71/25.65 | COMBINE_EQS: (527), (567) imply:
% 169.71/25.65 | (571) all_16_2 = all_12_2
% 169.71/25.65 |
% 169.71/25.65 | COMBINE_EQS: (433), (503) imply:
% 169.71/25.65 | (572) all_10_2 = all_4_2
% 169.71/25.65 |
% 169.71/25.65 | COMBINE_EQS: (433), (569) imply:
% 169.71/25.65 | (573) all_10_2 = all_8_2
% 169.71/25.65 |
% 169.71/25.65 | COMBINE_EQS: (570), (571) imply:
% 169.71/25.65 | (574) all_12_2 = all_6_2
% 169.71/25.65 |
% 169.71/25.65 | SIMP: (574) implies:
% 169.71/25.65 | (575) all_12_2 = all_6_2
% 169.71/25.65 |
% 169.71/25.65 | COMBINE_EQS: (572), (573) imply:
% 169.71/25.65 | (576) all_8_2 = all_4_2
% 169.71/25.65 |
% 169.71/25.65 | COMBINE_EQS: (565), (576) imply:
% 169.71/25.65 | (577) all_24_2 = all_4_2
% 169.71/25.65 |
% 169.71/25.65 | COMBINE_EQS: (559), (570) imply:
% 169.71/25.65 | (578) all_30_2 = all_6_2
% 169.71/25.65 |
% 169.71/25.65 | COMBINE_EQS: (519), (576) imply:
% 169.71/25.65 | (579) all_32_2 = all_4_2
% 169.71/25.65 |
% 169.71/25.65 | COMBINE_EQS: (495), (570) imply:
% 169.71/25.65 | (580) all_38_2 = all_6_2
% 169.71/25.65 |
% 169.71/25.65 | COMBINE_EQS: (546), (563) imply:
% 169.71/25.65 | (581) all_46_2 = all_20_2
% 169.71/25.65 |
% 169.71/25.65 | COMBINE_EQS: (512), (581) imply:
% 169.71/25.65 | (582) all_50_2 = all_20_2
% 169.71/25.65 |
% 169.71/25.65 | COMBINE_EQS: (434), (577) imply:
% 169.71/25.65 | (583) all_61_10 = all_4_2
% 169.71/25.65 |
% 169.71/25.65 | COMBINE_EQS: (451), (575) imply:
% 169.71/25.65 | (584) all_61_5 = all_6_2
% 169.71/25.65 |
% 169.71/25.65 | COMBINE_EQS: (468), (557) imply:
% 169.71/25.65 | (585) all_61_0 = all_14_2
% 169.71/25.65 |
% 169.71/25.65 | COMBINE_EQS: (437), (579) imply:
% 169.71/25.65 | (586) all_63_10 = all_4_2
% 169.71/25.65 |
% 169.71/25.65 | COMBINE_EQS: (453), (578) imply:
% 169.71/25.65 | (587) all_63_5 = all_6_2
% 169.71/25.65 |
% 169.71/25.65 | COMBINE_EQS: (486), (549) imply:
% 169.71/25.65 | (588) all_63_0 = all_14_2
% 169.71/25.65 |
% 169.71/25.65 | COMBINE_EQS: (424), (581) imply:
% 169.71/25.65 | (589) all_65_79 = all_20_2
% 169.71/25.65 |
% 169.71/25.65 | COMBINE_EQS: (456), (570) imply:
% 169.71/25.65 | (590) all_65_58 = all_6_2
% 169.71/25.65 |
% 169.71/25.65 | COMBINE_EQS: (472), (549) imply:
% 169.71/25.65 | (591) all_65_48 = all_14_2
% 169.71/25.65 |
% 169.71/25.65 | REDUCE: (222), (585) imply:
% 169.71/25.65 | (592) ~ (all_61_1 = all_14_2)
% 169.71/25.65 |
% 169.71/25.65 | SIMP: (592) implies:
% 169.71/25.65 | (593) ~ (all_61_1 = all_14_2)
% 169.71/25.65 |
% 169.71/25.65 | REDUCE: (221), (585) imply:
% 169.71/25.65 | (594) ~ (all_61_2 = all_14_2)
% 169.71/25.65 |
% 169.71/25.65 | SIMP: (594) implies:
% 169.71/25.65 | (595) ~ (all_61_2 = all_14_2)
% 169.71/25.65 |
% 169.71/25.65 | REDUCE: (220), (585) imply:
% 169.71/25.65 | (596) ~ (all_61_3 = all_14_2)
% 169.71/25.65 |
% 169.71/25.65 | SIMP: (596) implies:
% 169.71/25.65 | (597) ~ (all_61_3 = all_14_2)
% 169.71/25.65 |
% 169.71/25.65 | REDUCE: (219), (585) imply:
% 169.71/25.65 | (598) ~ (all_61_4 = all_14_2)
% 169.71/25.65 |
% 169.71/25.65 | SIMP: (598) implies:
% 169.71/25.65 | (599) ~ (all_61_4 = all_14_2)
% 169.71/25.65 |
% 169.71/25.65 | REDUCE: (218), (585) imply:
% 169.71/25.65 | (600) ~ (all_61_8 = all_14_2)
% 169.71/25.65 |
% 169.71/25.65 | SIMP: (600) implies:
% 169.71/25.65 | (601) ~ (all_61_8 = all_14_2)
% 169.71/25.65 |
% 169.71/25.65 | REDUCE: (217), (585) imply:
% 169.71/25.65 | (602) ~ (all_61_12 = all_14_2)
% 169.71/25.65 |
% 169.71/25.65 | SIMP: (602) implies:
% 169.71/25.65 | (603) ~ (all_61_12 = all_14_2)
% 169.71/25.65 |
% 169.71/25.65 | REDUCE: (214), (584) imply:
% 169.71/25.65 | (604) ~ (all_61_1 = all_6_2)
% 169.71/25.65 |
% 169.71/25.65 | REDUCE: (209), (583) imply:
% 169.71/25.65 | (605) ~ (all_61_2 = all_4_2)
% 169.71/25.65 |
% 169.71/25.65 | REDUCE: (205), (523) imply:
% 169.71/25.65 | (606) ~ (all_61_3 = all_20_2)
% 169.71/25.65 |
% 169.71/25.65 | REDUCE: (204), (584) imply:
% 169.71/25.65 | (607) ~ (all_61_4 = all_6_2)
% 169.71/25.65 |
% 169.71/25.65 | REDUCE: (199), (584) imply:
% 169.71/25.65 | (608) ~ (all_61_6 = all_6_2)
% 169.71/25.65 |
% 169.71/25.65 | SIMP: (608) implies:
% 169.71/25.65 | (609) ~ (all_61_6 = all_6_2)
% 169.71/25.65 |
% 169.71/25.65 | REDUCE: (198), (584) imply:
% 169.71/25.65 | (610) ~ (all_61_7 = all_6_2)
% 169.71/25.65 |
% 169.71/25.65 | SIMP: (610) implies:
% 169.71/25.65 | (611) ~ (all_61_7 = all_6_2)
% 169.71/25.65 |
% 169.71/25.65 | REDUCE: (197), (584) imply:
% 169.71/25.65 | (612) ~ (all_61_9 = all_6_2)
% 169.71/25.65 |
% 169.71/25.65 | SIMP: (612) implies:
% 169.71/25.65 | (613) ~ (all_61_9 = all_6_2)
% 169.71/25.65 |
% 169.71/25.65 | REDUCE: (196), (584) imply:
% 169.71/25.65 | (614) ~ (all_61_13 = all_6_2)
% 169.71/25.65 |
% 169.71/25.65 | SIMP: (614) implies:
% 169.71/25.65 | (615) ~ (all_61_13 = all_6_2)
% 169.71/25.65 |
% 169.71/25.65 | REDUCE: (194), (583) imply:
% 169.71/25.65 | (616) ~ (all_61_6 = all_4_2)
% 169.71/25.65 |
% 169.71/25.65 | REDUCE: (191), (523) imply:
% 169.71/25.65 | (617) ~ (all_61_7 = all_20_2)
% 169.71/25.65 |
% 169.71/25.65 | REDUCE: (189), (583) imply:
% 169.71/25.65 | (618) ~ (all_61_8 = all_4_2)
% 169.71/25.65 |
% 169.71/25.65 | REDUCE: (186), (583) imply:
% 169.71/25.65 | (619) ~ (all_61_9 = all_4_2)
% 169.71/25.65 |
% 169.71/25.65 | REDUCE: (183), (583) imply:
% 169.71/25.65 | (620) ~ (all_61_11 = all_4_2)
% 169.71/25.65 |
% 169.71/25.65 | SIMP: (620) implies:
% 169.71/25.65 | (621) ~ (all_61_11 = all_4_2)
% 169.71/25.65 |
% 169.71/25.65 | REDUCE: (182), (583) imply:
% 169.71/25.65 | (622) ~ (all_61_14 = all_4_2)
% 169.71/25.65 |
% 169.71/25.65 | SIMP: (622) implies:
% 169.71/25.65 | (623) ~ (all_61_14 = all_4_2)
% 169.71/25.65 |
% 169.71/25.65 | REDUCE: (181), (523) imply:
% 169.71/25.65 | (624) ~ (all_61_11 = all_20_2)
% 169.71/25.65 |
% 169.71/25.65 | REDUCE: (178), (523) imply:
% 169.71/25.65 | (625) ~ (all_61_12 = all_20_2)
% 169.71/25.65 |
% 169.71/25.65 | REDUCE: (176), (523) imply:
% 169.71/25.65 | (626) ~ (all_61_13 = all_20_2)
% 169.71/25.65 |
% 169.71/25.65 | REDUCE: (175), (523) imply:
% 169.71/25.65 | (627) ~ (all_61_14 = all_20_2)
% 169.71/25.65 |
% 169.71/25.65 | REDUCE: (134), (541), (542) imply:
% 169.71/25.65 | (628) ~ (all_52_0 = all_52_1)
% 169.71/25.65 |
% 169.71/25.65 | REDUCE: (133), (541), (543) imply:
% 169.71/25.65 | (629) ~ (all_52_0 = all_52_2)
% 169.71/25.65 |
% 169.71/25.65 | REDUCE: (132), (541), (545) imply:
% 169.71/25.65 | (630) ~ (all_52_0 = all_52_3)
% 169.71/25.65 |
% 169.71/25.65 | REDUCE: (131), (542), (543) imply:
% 169.71/25.65 | (631) ~ (all_52_1 = all_52_2)
% 169.71/25.65 |
% 169.71/25.65 | REDUCE: (130), (542), (545) imply:
% 169.71/25.65 | (632) ~ (all_52_1 = all_52_3)
% 169.71/25.65 |
% 169.71/25.65 | REDUCE: (129), (543), (545) imply:
% 169.71/25.65 | (633) ~ (all_52_2 = all_52_3)
% 169.71/25.65 |
% 169.71/25.65 | REDUCE: (416), (591) imply:
% 169.71/25.66 | (634) op(all_14_2, e3) = all_65_0
% 169.71/25.66 |
% 169.71/25.66 | REDUCE: (415), (591) imply:
% 169.71/25.66 | (635) op(all_14_2, e2) = all_65_1
% 169.71/25.66 |
% 169.71/25.66 | REDUCE: (414), (591) imply:
% 169.71/25.66 | (636) op(all_14_2, e1) = all_65_2
% 169.71/25.66 |
% 169.71/25.66 | REDUCE: (413), (591) imply:
% 169.71/25.66 | (637) op(all_14_2, e0) = all_65_3
% 169.71/25.66 |
% 169.71/25.66 | REDUCE: (412), (464) imply:
% 169.71/25.66 | (638) op(all_61_4, e3) = all_65_4
% 169.71/25.66 |
% 169.71/25.66 | REDUCE: (411), (464) imply:
% 169.71/25.66 | (639) op(all_61_4, e2) = all_65_5
% 169.71/25.66 |
% 169.71/25.66 | REDUCE: (410), (464) imply:
% 169.71/25.66 | (640) op(all_61_4, e1) = all_65_6
% 169.71/25.66 |
% 169.71/25.66 | REDUCE: (409), (464) imply:
% 169.71/25.66 | (641) op(all_61_4, e0) = all_65_7
% 169.71/25.66 |
% 169.71/25.66 | REDUCE: (408), (462) imply:
% 169.71/25.66 | (642) op(all_61_8, e3) = all_65_8
% 169.71/25.66 |
% 169.71/25.66 | REDUCE: (407), (462) imply:
% 169.71/25.66 | (643) op(all_61_8, e2) = all_65_9
% 169.71/25.66 |
% 169.71/25.66 | REDUCE: (406), (462) imply:
% 169.71/25.66 | (644) op(all_61_8, e1) = all_65_10
% 169.71/25.66 |
% 169.71/25.66 | REDUCE: (405), (462) imply:
% 169.71/25.66 | (645) op(all_61_8, e0) = all_65_11
% 169.71/25.66 |
% 169.71/25.66 | REDUCE: (404), (460) imply:
% 169.71/25.66 | (646) op(all_61_12, e3) = all_65_12
% 169.71/25.66 |
% 169.71/25.66 | REDUCE: (403), (460) imply:
% 169.71/25.66 | (647) op(all_61_12, e2) = all_65_13
% 169.71/25.66 |
% 169.71/25.66 | REDUCE: (402), (460) imply:
% 169.71/25.66 | (648) op(all_61_12, e1) = all_65_14
% 169.71/25.66 |
% 169.71/25.66 | REDUCE: (401), (460) imply:
% 169.71/25.66 | (649) op(all_61_12, e0) = all_65_15
% 169.71/25.66 |
% 169.71/25.66 | REDUCE: (400), (458) imply:
% 169.71/25.66 | (650) op(all_61_1, e3) = all_65_16
% 169.71/25.66 |
% 169.71/25.66 | REDUCE: (399), (458) imply:
% 169.71/25.66 | (651) op(all_61_1, e2) = all_65_17
% 169.71/25.66 |
% 169.71/25.66 | REDUCE: (398), (458) imply:
% 169.71/25.66 | (652) op(all_61_1, e1) = all_65_18
% 169.71/25.66 |
% 169.71/25.66 | REDUCE: (397), (458) imply:
% 169.71/25.66 | (653) op(all_61_1, e0) = all_65_19
% 169.71/25.66 |
% 169.71/25.66 | REDUCE: (396), (590) imply:
% 169.71/25.66 | (654) op(all_6_2, e3) = all_65_20
% 169.71/25.66 |
% 169.71/25.66 | REDUCE: (395), (590) imply:
% 169.71/25.66 | (655) op(all_6_2, e2) = all_65_21
% 169.71/25.66 |
% 169.71/25.66 | REDUCE: (394), (590) imply:
% 169.71/25.66 | (656) op(all_6_2, e1) = all_65_22
% 169.71/25.66 |
% 169.71/25.66 | REDUCE: (393), (590) imply:
% 169.71/25.66 | (657) op(all_6_2, e0) = all_65_23
% 169.71/25.66 |
% 169.71/25.66 | REDUCE: (392), (448) imply:
% 169.71/25.66 | (658) op(all_61_9, e3) = all_65_24
% 169.71/25.66 |
% 169.71/25.66 | REDUCE: (391), (448) imply:
% 169.71/25.66 | (659) op(all_61_9, e2) = all_65_25
% 169.71/25.66 |
% 169.71/25.66 | REDUCE: (390), (448) imply:
% 169.71/25.66 | (660) op(all_61_9, e1) = all_65_26
% 169.71/25.66 |
% 169.71/25.66 | REDUCE: (389), (448) imply:
% 169.71/25.66 | (661) op(all_61_9, e0) = all_65_27
% 169.71/25.66 |
% 169.71/25.66 | REDUCE: (388), (446) imply:
% 169.71/25.66 | (662) op(all_61_13, e3) = all_65_28
% 169.71/25.66 |
% 169.71/25.66 | REDUCE: (387), (446) imply:
% 169.71/25.66 | (663) op(all_61_13, e2) = all_65_29
% 169.71/25.66 |
% 169.71/25.66 | REDUCE: (386), (446) imply:
% 169.71/25.66 | (664) op(all_61_13, e1) = all_65_30
% 169.71/25.66 |
% 169.71/25.66 | REDUCE: (385), (446) imply:
% 169.71/25.66 | (665) op(all_61_13, e0) = all_65_31
% 169.71/25.66 |
% 169.71/25.66 | REDUCE: (384), (444) imply:
% 169.71/25.66 | (666) op(all_61_2, e3) = all_65_32
% 169.71/25.66 |
% 169.71/25.66 | REDUCE: (383), (444) imply:
% 169.71/25.66 | (667) op(all_61_2, e2) = all_65_33
% 169.71/25.66 |
% 169.71/25.66 | REDUCE: (382), (444) imply:
% 169.71/25.66 | (668) op(all_61_2, e1) = all_65_34
% 169.71/25.66 |
% 169.71/25.66 | REDUCE: (381), (444) imply:
% 169.71/25.66 | (669) op(all_61_2, e0) = all_65_35
% 169.71/25.66 |
% 169.71/25.66 | REDUCE: (380), (442) imply:
% 169.71/25.66 | (670) op(all_61_6, e3) = all_65_36
% 169.71/25.66 |
% 169.71/25.66 | REDUCE: (379), (442) imply:
% 169.71/25.66 | (671) op(all_61_6, e2) = all_65_37
% 169.71/25.66 |
% 169.71/25.66 | REDUCE: (378), (442) imply:
% 169.71/25.66 | (672) op(all_61_6, e1) = all_65_38
% 169.71/25.66 |
% 169.71/25.66 | REDUCE: (377), (442) imply:
% 169.71/25.66 | (673) op(all_61_6, e0) = all_65_39
% 169.71/25.66 |
% 169.71/25.66 | REDUCE: (376), (440) imply:
% 169.71/25.66 | (674) op(all_4_2, e3) = all_65_40
% 169.71/25.66 |
% 169.71/25.66 | REDUCE: (375), (440) imply:
% 169.71/25.66 | (675) op(all_4_2, e2) = all_65_41
% 169.71/25.66 |
% 169.71/25.66 | REDUCE: (374), (440) imply:
% 169.71/25.66 | (676) op(all_4_2, e1) = all_65_42
% 169.71/25.66 |
% 169.71/25.66 | REDUCE: (373), (440) imply:
% 169.71/25.66 | (677) op(all_4_2, e0) = all_65_43
% 169.71/25.66 |
% 169.71/25.66 | REDUCE: (372), (432) imply:
% 169.71/25.66 | (678) op(all_61_14, e3) = all_65_44
% 169.71/25.66 |
% 169.71/25.66 | REDUCE: (371), (432) imply:
% 169.71/25.66 | (679) op(all_61_14, e2) = all_65_45
% 169.71/25.66 |
% 169.71/25.66 | REDUCE: (370), (432) imply:
% 169.71/25.66 | (680) op(all_61_14, e1) = all_65_46
% 169.71/25.66 |
% 169.71/25.66 | REDUCE: (369), (432) imply:
% 169.71/25.66 | (681) op(all_61_14, e0) = all_65_47
% 169.71/25.66 |
% 169.71/25.66 | REDUCE: (368), (430) imply:
% 169.71/25.66 | (682) op(all_61_3, e3) = all_65_49
% 169.71/25.66 |
% 169.71/25.66 | REDUCE: (367), (430) imply:
% 169.71/25.66 | (683) op(all_61_3, e2) = all_65_51
% 169.71/25.66 |
% 169.71/25.66 | REDUCE: (366), (430) imply:
% 169.71/25.66 | (684) op(all_61_3, e1) = all_65_53
% 169.71/25.66 |
% 169.71/25.66 | REDUCE: (365), (430) imply:
% 169.71/25.66 | (685) op(all_61_3, e0) = all_65_55
% 169.71/25.66 |
% 169.71/25.66 | REDUCE: (364), (428) imply:
% 169.71/25.66 | (686) op(all_61_7, e3) = all_65_57
% 169.71/25.66 |
% 169.71/25.66 | REDUCE: (363), (428) imply:
% 169.71/25.66 | (687) op(all_61_7, e2) = all_65_59
% 169.71/25.66 |
% 169.71/25.66 | REDUCE: (362), (428) imply:
% 169.71/25.66 | (688) op(all_61_7, e1) = all_65_61
% 169.71/25.66 |
% 169.71/25.66 | REDUCE: (361), (428) imply:
% 169.71/25.66 | (689) op(all_61_7, e0) = all_65_63
% 169.71/25.66 |
% 169.71/25.66 | REDUCE: (360), (426) imply:
% 169.71/25.66 | (690) op(all_61_11, e3) = all_65_65
% 169.71/25.66 |
% 169.71/25.66 | REDUCE: (359), (426) imply:
% 169.71/25.66 | (691) op(all_61_11, e2) = all_65_67
% 169.71/25.66 |
% 169.71/25.66 | REDUCE: (358), (426) imply:
% 169.71/25.66 | (692) op(all_61_11, e1) = all_65_69
% 169.71/25.66 |
% 169.71/25.66 | REDUCE: (357), (426) imply:
% 169.71/25.66 | (693) op(all_61_11, e0) = all_65_71
% 169.71/25.66 |
% 169.71/25.66 | REDUCE: (356), (589) imply:
% 169.71/25.66 | (694) op(all_20_2, e3) = all_65_73
% 169.71/25.66 |
% 169.71/25.66 | REDUCE: (355), (589) imply:
% 169.71/25.66 | (695) op(all_20_2, e2) = all_65_75
% 169.71/25.66 |
% 169.71/25.66 | REDUCE: (354), (589) imply:
% 169.71/25.66 | (696) op(all_20_2, e1) = all_65_77
% 169.71/25.66 |
% 169.71/25.66 | REDUCE: (353), (589) imply:
% 169.71/25.66 | (697) op(all_20_2, e0) = all_65_78
% 169.71/25.66 |
% 169.71/25.66 | REDUCE: (352), (591) imply:
% 169.71/25.66 | (698) op(e3, all_14_2) = all_65_0
% 169.71/25.66 |
% 169.71/25.66 | REDUCE: (351), (464) imply:
% 169.71/25.66 | (699) op(e3, all_61_4) = all_65_1
% 169.71/25.66 |
% 169.71/25.66 | REDUCE: (350), (462) imply:
% 169.71/25.66 | (700) op(e3, all_61_8) = all_65_2
% 169.71/25.66 |
% 169.71/25.66 | REDUCE: (349), (460) imply:
% 169.71/25.66 | (701) op(e3, all_61_12) = all_65_3
% 169.71/25.66 |
% 169.71/25.66 | REDUCE: (348), (458) imply:
% 169.71/25.66 | (702) op(e3, all_61_1) = all_65_4
% 169.71/25.66 |
% 169.71/25.66 | REDUCE: (347), (590) imply:
% 169.71/25.66 | (703) op(e3, all_6_2) = all_65_5
% 169.71/25.66 |
% 169.71/25.66 | REDUCE: (346), (448) imply:
% 169.71/25.66 | (704) op(e3, all_61_9) = all_65_6
% 169.71/25.66 |
% 169.71/25.66 | REDUCE: (345), (446) imply:
% 169.71/25.66 | (705) op(e3, all_61_13) = all_65_7
% 169.71/25.66 |
% 169.71/25.66 | REDUCE: (344), (444) imply:
% 169.71/25.66 | (706) op(e3, all_61_2) = all_65_8
% 169.71/25.66 |
% 169.71/25.66 | REDUCE: (343), (442) imply:
% 169.71/25.66 | (707) op(e3, all_61_6) = all_65_9
% 169.71/25.66 |
% 169.71/25.66 | REDUCE: (342), (440) imply:
% 169.71/25.66 | (708) op(e3, all_4_2) = all_65_10
% 169.71/25.66 |
% 169.71/25.66 | REDUCE: (341), (432) imply:
% 169.71/25.66 | (709) op(e3, all_61_14) = all_65_11
% 169.71/25.66 |
% 169.71/25.66 | REDUCE: (340), (430) imply:
% 169.71/25.66 | (710) op(e3, all_61_3) = all_65_12
% 169.71/25.66 |
% 169.71/25.66 | REDUCE: (339), (428) imply:
% 169.71/25.66 | (711) op(e3, all_61_7) = all_65_13
% 169.71/25.66 |
% 169.71/25.66 | REDUCE: (338), (426) imply:
% 169.71/25.66 | (712) op(e3, all_61_11) = all_65_14
% 169.71/25.66 |
% 169.71/25.66 | REDUCE: (337), (589) imply:
% 169.71/25.66 | (713) op(e3, all_20_2) = all_65_15
% 169.71/25.66 |
% 169.71/25.66 | REDUCE: (143), (534) imply:
% 169.71/25.66 | (714) op(e3, all_52_0) = unit
% 169.71/25.66 |
% 169.71/25.66 | REDUCE: (332), (591) imply:
% 169.71/25.66 | (715) op(e2, all_14_2) = all_65_16
% 169.71/25.66 |
% 169.71/25.66 | REDUCE: (331), (464) imply:
% 169.71/25.66 | (716) op(e2, all_61_4) = all_65_17
% 169.71/25.66 |
% 169.71/25.66 | REDUCE: (330), (462) imply:
% 169.71/25.66 | (717) op(e2, all_61_8) = all_65_18
% 169.71/25.66 |
% 169.71/25.66 | REDUCE: (329), (460) imply:
% 169.71/25.66 | (718) op(e2, all_61_12) = all_65_19
% 169.71/25.66 |
% 169.71/25.66 | REDUCE: (328), (458) imply:
% 169.71/25.66 | (719) op(e2, all_61_1) = all_65_20
% 169.71/25.66 |
% 169.71/25.66 | REDUCE: (327), (590) imply:
% 169.71/25.66 | (720) op(e2, all_6_2) = all_65_21
% 169.71/25.66 |
% 169.71/25.66 | REDUCE: (326), (448) imply:
% 169.71/25.66 | (721) op(e2, all_61_9) = all_65_22
% 169.71/25.66 |
% 169.71/25.66 | REDUCE: (325), (446) imply:
% 169.71/25.66 | (722) op(e2, all_61_13) = all_65_23
% 169.71/25.66 |
% 169.71/25.66 | REDUCE: (324), (444) imply:
% 169.71/25.66 | (723) op(e2, all_61_2) = all_65_24
% 169.71/25.66 |
% 169.71/25.66 | REDUCE: (323), (442) imply:
% 169.71/25.66 | (724) op(e2, all_61_6) = all_65_25
% 169.71/25.66 |
% 169.71/25.66 | REDUCE: (322), (440) imply:
% 169.71/25.66 | (725) op(e2, all_4_2) = all_65_26
% 169.71/25.66 |
% 169.71/25.66 | REDUCE: (321), (432) imply:
% 169.71/25.66 | (726) op(e2, all_61_14) = all_65_27
% 169.71/25.66 |
% 169.71/25.66 | REDUCE: (320), (430) imply:
% 169.71/25.66 | (727) op(e2, all_61_3) = all_65_28
% 169.71/25.66 |
% 169.71/25.66 | REDUCE: (319), (428) imply:
% 169.71/25.66 | (728) op(e2, all_61_7) = all_65_29
% 169.71/25.66 |
% 169.71/25.66 | REDUCE: (318), (426) imply:
% 169.71/25.66 | (729) op(e2, all_61_11) = all_65_30
% 169.71/25.66 |
% 169.71/25.66 | REDUCE: (317), (589) imply:
% 169.71/25.66 | (730) op(e2, all_20_2) = all_65_31
% 169.71/25.66 |
% 169.71/25.66 | REDUCE: (142), (536) imply:
% 169.71/25.66 | (731) op(e2, all_52_1) = unit
% 169.71/25.66 |
% 169.71/25.66 | REDUCE: (312), (591) imply:
% 169.71/25.66 | (732) op(e1, all_14_2) = all_65_32
% 169.71/25.66 |
% 169.71/25.66 | REDUCE: (311), (464) imply:
% 169.71/25.67 | (733) op(e1, all_61_4) = all_65_33
% 169.71/25.67 |
% 169.71/25.67 | REDUCE: (310), (462) imply:
% 169.71/25.67 | (734) op(e1, all_61_8) = all_65_34
% 169.71/25.67 |
% 169.71/25.67 | REDUCE: (309), (460) imply:
% 169.71/25.67 | (735) op(e1, all_61_12) = all_65_35
% 169.71/25.67 |
% 169.71/25.67 | REDUCE: (308), (458) imply:
% 169.71/25.67 | (736) op(e1, all_61_1) = all_65_36
% 169.71/25.67 |
% 169.71/25.67 | REDUCE: (307), (590) imply:
% 169.71/25.67 | (737) op(e1, all_6_2) = all_65_37
% 169.71/25.67 |
% 169.71/25.67 | REDUCE: (306), (448) imply:
% 169.71/25.67 | (738) op(e1, all_61_9) = all_65_38
% 169.71/25.67 |
% 169.71/25.67 | REDUCE: (305), (446) imply:
% 169.71/25.67 | (739) op(e1, all_61_13) = all_65_39
% 169.71/25.67 |
% 169.71/25.67 | REDUCE: (304), (444) imply:
% 169.71/25.67 | (740) op(e1, all_61_2) = all_65_40
% 169.71/25.67 |
% 169.71/25.67 | REDUCE: (303), (442) imply:
% 169.71/25.67 | (741) op(e1, all_61_6) = all_65_41
% 169.71/25.67 |
% 169.71/25.67 | REDUCE: (302), (440) imply:
% 169.71/25.67 | (742) op(e1, all_4_2) = all_65_42
% 169.71/25.67 |
% 169.71/25.67 | REDUCE: (301), (432) imply:
% 169.71/25.67 | (743) op(e1, all_61_14) = all_65_43
% 169.71/25.67 |
% 169.71/25.67 | REDUCE: (300), (430) imply:
% 169.71/25.67 | (744) op(e1, all_61_3) = all_65_44
% 169.71/25.67 |
% 169.71/25.67 | REDUCE: (299), (428) imply:
% 169.71/25.67 | (745) op(e1, all_61_7) = all_65_45
% 169.71/25.67 |
% 169.71/25.67 | REDUCE: (298), (426) imply:
% 169.71/25.67 | (746) op(e1, all_61_11) = all_65_46
% 169.71/25.67 |
% 169.71/25.67 | REDUCE: (297), (589) imply:
% 169.71/25.67 | (747) op(e1, all_20_2) = all_65_47
% 169.71/25.67 |
% 169.71/25.67 | REDUCE: (141), (538) imply:
% 169.71/25.67 | (748) op(e1, all_52_2) = unit
% 169.71/25.67 |
% 169.71/25.67 | REDUCE: (292), (591) imply:
% 169.71/25.67 | (749) op(e0, all_14_2) = all_65_49
% 169.71/25.67 |
% 169.71/25.67 | REDUCE: (291), (464) imply:
% 169.71/25.67 | (750) op(e0, all_61_4) = all_65_51
% 169.71/25.67 |
% 169.71/25.67 | REDUCE: (290), (462) imply:
% 169.71/25.67 | (751) op(e0, all_61_8) = all_65_53
% 169.71/25.67 |
% 169.71/25.67 | REDUCE: (289), (460) imply:
% 169.71/25.67 | (752) op(e0, all_61_12) = all_65_55
% 169.71/25.67 |
% 169.71/25.67 | REDUCE: (288), (458) imply:
% 169.71/25.67 | (753) op(e0, all_61_1) = all_65_57
% 169.71/25.67 |
% 169.71/25.67 | REDUCE: (287), (590) imply:
% 169.71/25.67 | (754) op(e0, all_6_2) = all_65_59
% 169.71/25.67 |
% 169.71/25.67 | REDUCE: (286), (448) imply:
% 169.71/25.67 | (755) op(e0, all_61_9) = all_65_61
% 169.71/25.67 |
% 169.71/25.67 | REDUCE: (285), (446) imply:
% 169.71/25.67 | (756) op(e0, all_61_13) = all_65_63
% 169.71/25.67 |
% 169.71/25.67 | REDUCE: (284), (444) imply:
% 169.71/25.67 | (757) op(e0, all_61_2) = all_65_65
% 169.71/25.67 |
% 169.71/25.67 | REDUCE: (283), (442) imply:
% 169.71/25.67 | (758) op(e0, all_61_6) = all_65_67
% 169.71/25.67 |
% 169.71/25.67 | REDUCE: (282), (440) imply:
% 169.71/25.67 | (759) op(e0, all_4_2) = all_65_69
% 169.71/25.67 |
% 169.71/25.67 | REDUCE: (281), (432) imply:
% 169.71/25.67 | (760) op(e0, all_61_14) = all_65_71
% 169.71/25.67 |
% 169.71/25.67 | REDUCE: (280), (430) imply:
% 169.71/25.67 | (761) op(e0, all_61_3) = all_65_73
% 169.71/25.67 |
% 169.71/25.67 | REDUCE: (279), (428) imply:
% 169.71/25.67 | (762) op(e0, all_61_7) = all_65_75
% 169.71/25.67 |
% 169.71/25.67 | REDUCE: (278), (426) imply:
% 169.71/25.67 | (763) op(e0, all_61_11) = all_65_77
% 169.71/25.67 |
% 169.71/25.67 | REDUCE: (277), (589) imply:
% 169.71/25.67 | (764) op(e0, all_20_2) = all_65_78
% 169.71/25.67 |
% 169.71/25.67 | REDUCE: (140), (539) imply:
% 169.71/25.67 | (765) op(e0, all_52_3) = unit
% 169.71/25.67 |
% 169.71/25.67 | BETA: splitting (53) gives:
% 169.71/25.67 |
% 169.71/25.67 | Case 1:
% 169.71/25.67 | |
% 169.71/25.67 | | (766) ~ (all_4_2 = e3)
% 169.71/25.67 | |
% 169.71/25.67 | | BETA: splitting (56) gives:
% 169.71/25.67 | |
% 169.71/25.67 | | Case 1:
% 169.71/25.67 | | |
% 169.71/25.67 | | | (767) ~ (all_6_2 = e3)
% 169.71/25.67 | | |
% 169.71/25.67 | | | BETA: splitting (59) gives:
% 169.71/25.67 | | |
% 169.71/25.67 | | | Case 1:
% 169.71/25.67 | | | |
% 169.71/25.67 | | | | (768) ~ (all_8_2 = e0)
% 169.71/25.67 | | | |
% 169.71/25.67 | | | | REDUCE: (576), (768) imply:
% 169.71/25.67 | | | | (769) ~ (all_4_2 = e0)
% 169.71/25.67 | | | |
% 169.71/25.67 | | | | BETA: splitting (11) gives:
% 169.71/25.67 | | | |
% 169.71/25.67 | | | | Case 1:
% 169.71/25.67 | | | | |
% 169.71/25.67 | | | | | (770) unit = e3
% 169.71/25.67 | | | | |
% 169.71/25.67 | | | | | REDUCE: (9), (770) imply:
% 169.71/25.67 | | | | | (771) op(e3, e2) = e2
% 169.71/25.67 | | | | |
% 169.71/25.67 | | | | | REDUCE: (8), (770) imply:
% 169.71/25.67 | | | | | (772) op(e3, e1) = e1
% 169.71/25.67 | | | | |
% 169.71/25.67 | | | | | REDUCE: (7), (770) imply:
% 169.71/25.67 | | | | | (773) op(e3, e0) = e0
% 169.71/25.67 | | | | |
% 169.71/25.67 | | | | | REDUCE: (4), (770) imply:
% 169.71/25.67 | | | | | (774) op(e1, e3) = e1
% 169.71/25.67 | | | | |
% 169.71/25.67 | | | | | REDUCE: (3), (770) imply:
% 169.71/25.67 | | | | | (775) op(e0, e3) = e0
% 169.71/25.67 | | | | |
% 169.71/25.67 | | | | | GROUND_INST: instantiating (50) with all_61_3, e0, e3, e0, simplifying
% 169.71/25.67 | | | | | with (226), (775) gives:
% 169.71/25.67 | | | | | (776) all_61_3 = e0
% 169.71/25.67 | | | | |
% 169.71/25.67 | | | | | GROUND_INST: instantiating (50) with all_61_2, e1, e3, e1, simplifying
% 169.71/25.67 | | | | | with (230), (774) gives:
% 169.71/25.67 | | | | | (777) all_61_2 = e1
% 169.71/25.67 | | | | |
% 169.71/25.67 | | | | | GROUND_INST: instantiating (50) with all_61_12, e0, e0, e3,
% 169.71/25.67 | | | | | simplifying with (235), (773) gives:
% 169.71/25.67 | | | | | (778) all_61_12 = e0
% 169.71/25.67 | | | | |
% 169.71/25.67 | | | | | GROUND_INST: instantiating (50) with all_61_8, e1, e1, e3, simplifying
% 169.71/25.67 | | | | | with (236), (772) gives:
% 169.71/25.67 | | | | | (779) all_61_8 = e1
% 169.71/25.67 | | | | |
% 169.71/25.67 | | | | | GROUND_INST: instantiating (50) with all_61_4, e2, e2, e3, simplifying
% 169.71/25.67 | | | | | with (237), (771) gives:
% 169.71/25.67 | | | | | (780) all_61_4 = e2
% 169.71/25.67 | | | | |
% 169.71/25.67 | | | | | REDUCE: (210), (777) imply:
% 169.71/25.67 | | | | | (781) ~ (all_61_6 = e1)
% 169.71/25.67 | | | | |
% 169.71/25.67 | | | | | SIMP: (781) implies:
% 169.71/25.67 | | | | | (782) ~ (all_61_6 = e1)
% 169.71/25.67 | | | | |
% 169.71/25.67 | | | | | REDUCE: (208), (777) imply:
% 169.71/25.67 | | | | | (783) ~ (all_61_14 = e1)
% 169.71/25.67 | | | | |
% 169.71/25.67 | | | | | SIMP: (783) implies:
% 169.71/25.67 | | | | | (784) ~ (all_61_14 = e1)
% 169.71/25.67 | | | | |
% 169.71/25.67 | | | | | REDUCE: (206), (776) imply:
% 169.71/25.67 | | | | | (785) ~ (all_61_11 = e0)
% 169.71/25.67 | | | | |
% 169.71/25.67 | | | | | SIMP: (785) implies:
% 169.71/25.67 | | | | | (786) ~ (all_61_11 = e0)
% 169.71/25.67 | | | | |
% 169.71/25.67 | | | | | REDUCE: (202), (780) imply:
% 169.71/25.67 | | | | | (787) ~ (all_61_7 = e2)
% 169.71/25.67 | | | | |
% 169.71/25.67 | | | | | SIMP: (787) implies:
% 169.71/25.67 | | | | | (788) ~ (all_61_7 = e2)
% 169.71/25.67 | | | | |
% 169.71/25.67 | | | | | REDUCE: (607), (780) imply:
% 169.71/25.67 | | | | | (789) ~ (all_6_2 = e2)
% 169.71/25.67 | | | | |
% 169.71/25.67 | | | | | SIMP: (789) implies:
% 169.71/25.67 | | | | | (790) ~ (all_6_2 = e2)
% 169.71/25.67 | | | | |
% 169.71/25.67 | | | | | REDUCE: (188), (779) imply:
% 169.71/25.67 | | | | | (791) ~ (all_61_11 = e1)
% 169.71/25.67 | | | | |
% 169.71/25.67 | | | | | SIMP: (791) implies:
% 169.71/25.67 | | | | | (792) ~ (all_61_11 = e1)
% 169.71/25.67 | | | | |
% 169.71/25.67 | | | | | REDUCE: (618), (779) imply:
% 169.71/25.67 | | | | | (793) ~ (all_4_2 = e1)
% 169.71/25.67 | | | | |
% 169.71/25.67 | | | | | SIMP: (793) implies:
% 169.71/25.67 | | | | | (794) ~ (all_4_2 = e1)
% 169.71/25.67 | | | | |
% 169.71/25.67 | | | | | REDUCE: (179), (778) imply:
% 169.71/25.67 | | | | | (795) ~ (all_61_14 = e0)
% 169.71/25.67 | | | | |
% 169.71/25.67 | | | | | SIMP: (795) implies:
% 169.71/25.67 | | | | | (796) ~ (all_61_14 = e0)
% 169.71/25.67 | | | | |
% 169.71/25.67 | | | | | BETA: splitting (261) gives:
% 169.71/25.67 | | | | |
% 169.71/25.67 | | | | | Case 1:
% 169.71/25.67 | | | | | |
% 169.71/25.67 | | | | | | (797) all_63_10 = e3
% 169.71/25.67 | | | | | |
% 169.71/25.67 | | | | | | COMBINE_EQS: (586), (797) imply:
% 169.71/25.67 | | | | | | (798) all_4_2 = e3
% 169.71/25.67 | | | | | |
% 169.71/25.67 | | | | | | REDUCE: (766), (798) imply:
% 169.71/25.67 | | | | | | (799) $false
% 169.71/25.68 | | | | | |
% 169.71/25.68 | | | | | | CLOSE: (799) is inconsistent.
% 169.71/25.68 | | | | | |
% 169.71/25.68 | | | | | Case 2:
% 169.71/25.68 | | | | | |
% 169.71/25.68 | | | | | | (800) all_63_10 = e2 | all_63_10 = e1 | all_63_10 = e0
% 169.71/25.68 | | | | | |
% 169.71/25.68 | | | | | | BETA: splitting (800) gives:
% 169.71/25.68 | | | | | |
% 169.71/25.68 | | | | | | Case 1:
% 169.71/25.68 | | | | | | |
% 169.71/25.68 | | | | | | | (801) all_63_10 = e2
% 169.71/25.68 | | | | | | |
% 169.71/25.68 | | | | | | | COMBINE_EQS: (586), (801) imply:
% 169.71/25.68 | | | | | | | (802) all_4_2 = e2
% 169.71/25.68 | | | | | | |
% 169.71/25.68 | | | | | | | REDUCE: (616), (802) imply:
% 169.71/25.68 | | | | | | | (803) ~ (all_61_6 = e2)
% 169.71/25.68 | | | | | | |
% 169.71/25.68 | | | | | | | REDUCE: (621), (802) imply:
% 169.71/25.68 | | | | | | | (804) ~ (all_61_11 = e2)
% 169.71/25.68 | | | | | | |
% 169.71/25.68 | | | | | | | REDUCE: (623), (802) imply:
% 169.71/25.68 | | | | | | | (805) ~ (all_61_14 = e2)
% 169.71/25.68 | | | | | | |
% 169.71/25.68 | | | | | | | BETA: splitting (257) gives:
% 169.71/25.68 | | | | | | |
% 169.71/25.68 | | | | | | | Case 1:
% 169.71/25.68 | | | | | | | |
% 169.71/25.68 | | | | | | | | (806) all_63_14 = e3
% 169.71/25.68 | | | | | | | |
% 169.71/25.68 | | | | | | | | COMBINE_EQS: (510), (806) imply:
% 169.71/25.68 | | | | | | | | (807) all_61_11 = e3
% 169.71/25.68 | | | | | | | |
% 169.71/25.68 | | | | | | | | SIMP: (807) implies:
% 169.71/25.68 | | | | | | | | (808) all_61_11 = e3
% 169.71/25.68 | | | | | | | |
% 169.71/25.68 | | | | | | | | REDUCE: (192), (808) imply:
% 169.71/25.68 | | | | | | | | (809) ~ (all_61_7 = e3)
% 169.71/25.68 | | | | | | | |
% 169.71/25.68 | | | | | | | | BETA: splitting (260) gives:
% 169.71/25.68 | | | | | | | |
% 169.71/25.68 | | | | | | | | Case 1:
% 169.71/25.68 | | | | | | | | |
% 169.71/25.68 | | | | | | | | | (810) all_63_11 = e3
% 169.71/25.68 | | | | | | | | |
% 169.71/25.68 | | | | | | | | | COMBINE_EQS: (505), (810) imply:
% 169.71/25.68 | | | | | | | | | (811) all_61_14 = e3
% 169.71/25.68 | | | | | | | | |
% 169.71/25.68 | | | | | | | | | REDUCE: (193), (811) imply:
% 169.71/25.68 | | | | | | | | | (812) ~ (all_61_6 = e3)
% 169.71/25.68 | | | | | | | | |
% 169.71/25.68 | | | | | | | | | BETA: splitting (262) gives:
% 169.71/25.68 | | | | | | | | |
% 169.71/25.68 | | | | | | | | | Case 1:
% 169.71/25.68 | | | | | | | | | |
% 169.71/25.68 | | | | | | | | | | (813) all_63_9 = e3
% 169.71/25.68 | | | | | | | | | |
% 169.71/25.68 | | | | | | | | | | COMBINE_EQS: (501), (813) imply:
% 169.71/25.68 | | | | | | | | | | (814) all_61_6 = e3
% 169.71/25.68 | | | | | | | | | |
% 169.71/25.68 | | | | | | | | | | REDUCE: (812), (814) imply:
% 169.71/25.68 | | | | | | | | | | (815) $false
% 169.71/25.68 | | | | | | | | | |
% 169.71/25.68 | | | | | | | | | | CLOSE: (815) is inconsistent.
% 169.71/25.68 | | | | | | | | | |
% 169.71/25.68 | | | | | | | | | Case 2:
% 169.71/25.68 | | | | | | | | | |
% 169.71/25.68 | | | | | | | | | | (816) all_63_9 = e2 | all_63_9 = e1 | all_63_9 = e0
% 169.71/25.68 | | | | | | | | | |
% 169.71/25.68 | | | | | | | | | | BETA: splitting (816) gives:
% 169.71/25.68 | | | | | | | | | |
% 169.71/25.68 | | | | | | | | | | Case 1:
% 169.71/25.68 | | | | | | | | | | |
% 169.71/25.68 | | | | | | | | | | | (817) all_63_9 = e2
% 169.71/25.68 | | | | | | | | | | |
% 169.71/25.68 | | | | | | | | | | | COMBINE_EQS: (501), (817) imply:
% 169.71/25.68 | | | | | | | | | | | (818) all_61_6 = e2
% 169.71/25.68 | | | | | | | | | | |
% 169.71/25.68 | | | | | | | | | | | REDUCE: (803), (818) imply:
% 169.71/25.68 | | | | | | | | | | | (819) $false
% 169.71/25.68 | | | | | | | | | | |
% 169.71/25.68 | | | | | | | | | | | CLOSE: (819) is inconsistent.
% 169.71/25.68 | | | | | | | | | | |
% 169.71/25.68 | | | | | | | | | | Case 2:
% 169.71/25.68 | | | | | | | | | | |
% 169.71/25.68 | | | | | | | | | | | (820) all_63_9 = e1 | all_63_9 = e0
% 169.71/25.68 | | | | | | | | | | |
% 169.71/25.68 | | | | | | | | | | | BETA: splitting (820) gives:
% 169.71/25.68 | | | | | | | | | | |
% 169.71/25.68 | | | | | | | | | | | Case 1:
% 169.71/25.68 | | | | | | | | | | | |
% 169.71/25.68 | | | | | | | | | | | | (821) all_63_9 = e1
% 169.71/25.68 | | | | | | | | | | | |
% 169.71/25.68 | | | | | | | | | | | | COMBINE_EQS: (501), (821) imply:
% 169.71/25.68 | | | | | | | | | | | | (822) all_61_6 = e1
% 169.71/25.68 | | | | | | | | | | | |
% 169.71/25.68 | | | | | | | | | | | | REDUCE: (782), (822) imply:
% 169.71/25.68 | | | | | | | | | | | | (823) $false
% 169.71/25.68 | | | | | | | | | | | |
% 169.71/25.68 | | | | | | | | | | | | CLOSE: (823) is inconsistent.
% 169.71/25.68 | | | | | | | | | | | |
% 169.71/25.68 | | | | | | | | | | | Case 2:
% 169.71/25.68 | | | | | | | | | | | |
% 169.71/25.68 | | | | | | | | | | | | (824) all_63_9 = e0
% 169.71/25.68 | | | | | | | | | | | |
% 169.71/25.68 | | | | | | | | | | | | COMBINE_EQS: (501), (824) imply:
% 169.71/25.68 | | | | | | | | | | | | (825) all_61_6 = e0
% 169.71/25.68 | | | | | | | | | | | |
% 169.71/25.68 | | | | | | | | | | | | REDUCE: (195), (825) imply:
% 169.71/25.68 | | | | | | | | | | | | (826) ~ (all_61_7 = e0)
% 169.71/25.68 | | | | | | | | | | | |
% 169.71/25.68 | | | | | | | | | | | | SIMP: (826) implies:
% 169.71/25.68 | | | | | | | | | | | | (827) ~ (all_61_7 = e0)
% 169.71/25.68 | | | | | | | | | | | |
% 169.71/25.68 | | | | | | | | | | | | REDUCE: (609), (825) imply:
% 169.71/25.68 | | | | | | | | | | | | (828) ~ (all_6_2 = e0)
% 169.71/25.68 | | | | | | | | | | | |
% 169.71/25.68 | | | | | | | | | | | | SIMP: (828) implies:
% 169.71/25.68 | | | | | | | | | | | | (829) ~ (all_6_2 = e0)
% 169.71/25.68 | | | | | | | | | | | |
% 169.71/25.68 | | | | | | | | | | | | BETA: splitting (266) gives:
% 169.71/25.68 | | | | | | | | | | | |
% 169.71/25.68 | | | | | | | | | | | | Case 1:
% 169.71/25.68 | | | | | | | | | | | | |
% 169.71/25.68 | | | | | | | | | | | | | (830) all_63_5 = e3
% 169.71/25.68 | | | | | | | | | | | | |
% 169.71/25.68 | | | | | | | | | | | | | COMBINE_EQS: (587), (830) imply:
% 169.71/25.68 | | | | | | | | | | | | | (831) all_6_2 = e3
% 169.71/25.68 | | | | | | | | | | | | |
% 169.71/25.68 | | | | | | | | | | | | | REDUCE: (767), (831) imply:
% 169.71/25.68 | | | | | | | | | | | | | (832) $false
% 169.71/25.68 | | | | | | | | | | | | |
% 169.71/25.68 | | | | | | | | | | | | | CLOSE: (832) is inconsistent.
% 169.71/25.68 | | | | | | | | | | | | |
% 169.71/25.68 | | | | | | | | | | | | Case 2:
% 169.71/25.68 | | | | | | | | | | | | |
% 169.71/25.68 | | | | | | | | | | | | | (833) all_63_5 = e2 | all_63_5 = e1 | all_63_5 = e0
% 169.71/25.68 | | | | | | | | | | | | |
% 169.71/25.68 | | | | | | | | | | | | | BETA: splitting (833) gives:
% 169.71/25.68 | | | | | | | | | | | | |
% 169.71/25.68 | | | | | | | | | | | | | Case 1:
% 169.71/25.68 | | | | | | | | | | | | | |
% 169.71/25.68 | | | | | | | | | | | | | | (834) all_63_5 = e2
% 169.71/25.68 | | | | | | | | | | | | | |
% 169.71/25.68 | | | | | | | | | | | | | | COMBINE_EQS: (587), (834) imply:
% 169.71/25.68 | | | | | | | | | | | | | | (835) all_6_2 = e2
% 169.71/25.68 | | | | | | | | | | | | | |
% 169.71/25.68 | | | | | | | | | | | | | | REDUCE: (790), (835) imply:
% 169.71/25.68 | | | | | | | | | | | | | | (836) $false
% 169.71/25.68 | | | | | | | | | | | | | |
% 169.71/25.68 | | | | | | | | | | | | | | CLOSE: (836) is inconsistent.
% 169.71/25.68 | | | | | | | | | | | | | |
% 169.71/25.68 | | | | | | | | | | | | | Case 2:
% 169.71/25.68 | | | | | | | | | | | | | |
% 169.71/25.68 | | | | | | | | | | | | | | (837) all_63_5 = e1 | all_63_5 = e0
% 169.71/25.68 | | | | | | | | | | | | | |
% 169.71/25.68 | | | | | | | | | | | | | | BETA: splitting (258) gives:
% 169.71/25.68 | | | | | | | | | | | | | |
% 169.71/25.68 | | | | | | | | | | | | | | Case 1:
% 169.71/25.68 | | | | | | | | | | | | | | |
% 169.71/25.68 | | | | | | | | | | | | | | | (838) all_63_13 = e3
% 169.71/25.68 | | | | | | | | | | | | | | |
% 169.71/25.68 | | | | | | | | | | | | | | | REF_CLOSE: (508), (809), (838) are inconsistent by sub-proof
% 169.71/25.68 | | | | | | | | | | | | | | | #526.
% 169.71/25.68 | | | | | | | | | | | | | | |
% 169.71/25.68 | | | | | | | | | | | | | | Case 2:
% 169.71/25.68 | | | | | | | | | | | | | | |
% 169.71/25.68 | | | | | | | | | | | | | | | (839) all_63_13 = e2 | all_63_13 = e1 | all_63_13 = e0
% 169.71/25.68 | | | | | | | | | | | | | | |
% 169.71/25.68 | | | | | | | | | | | | | | | BETA: splitting (839) gives:
% 169.71/25.68 | | | | | | | | | | | | | | |
% 169.71/25.68 | | | | | | | | | | | | | | | Case 1:
% 169.71/25.68 | | | | | | | | | | | | | | | |
% 169.71/25.68 | | | | | | | | | | | | | | | | (840) all_63_13 = e2
% 169.71/25.68 | | | | | | | | | | | | | | | |
% 169.71/25.68 | | | | | | | | | | | | | | | | REF_CLOSE: (508), (788), (840) are inconsistent by sub-proof
% 169.71/25.68 | | | | | | | | | | | | | | | | #525.
% 169.71/25.68 | | | | | | | | | | | | | | | |
% 169.71/25.68 | | | | | | | | | | | | | | | Case 2:
% 169.71/25.68 | | | | | | | | | | | | | | | |
% 169.71/25.68 | | | | | | | | | | | | | | | | (841) all_63_13 = e1 | all_63_13 = e0
% 169.71/25.68 | | | | | | | | | | | | | | | |
% 169.71/25.68 | | | | | | | | | | | | | | | | BETA: splitting (841) gives:
% 169.71/25.68 | | | | | | | | | | | | | | | |
% 169.71/25.68 | | | | | | | | | | | | | | | | Case 1:
% 169.71/25.68 | | | | | | | | | | | | | | | | |
% 169.71/25.68 | | | | | | | | | | | | | | | | | (842) all_63_13 = e1
% 169.71/25.68 | | | | | | | | | | | | | | | | |
% 169.71/25.68 | | | | | | | | | | | | | | | | | COMBINE_EQS: (508), (842) imply:
% 169.71/25.68 | | | | | | | | | | | | | | | | | (843) all_61_7 = e1
% 169.71/25.68 | | | | | | | | | | | | | | | | |
% 169.71/25.68 | | | | | | | | | | | | | | | | | SIMP: (843) implies:
% 169.71/25.68 | | | | | | | | | | | | | | | | | (844) all_61_7 = e1
% 169.71/25.68 | | | | | | | | | | | | | | | | |
% 169.71/25.68 | | | | | | | | | | | | | | | | | REDUCE: (611), (844) imply:
% 169.71/25.68 | | | | | | | | | | | | | | | | | (845) ~ (all_6_2 = e1)
% 169.71/25.68 | | | | | | | | | | | | | | | | |
% 169.71/25.68 | | | | | | | | | | | | | | | | | SIMP: (845) implies:
% 169.71/25.68 | | | | | | | | | | | | | | | | | (846) ~ (all_6_2 = e1)
% 169.71/25.68 | | | | | | | | | | | | | | | | |
% 169.71/25.68 | | | | | | | | | | | | | | | | | REF_CLOSE: (587), (829), (837), (846) are inconsistent by
% 169.71/25.68 | | | | | | | | | | | | | | | | | sub-proof #524.
% 169.71/25.68 | | | | | | | | | | | | | | | | |
% 169.71/25.68 | | | | | | | | | | | | | | | | Case 2:
% 169.71/25.68 | | | | | | | | | | | | | | | | |
% 169.71/25.68 | | | | | | | | | | | | | | | | | (847) all_63_13 = e0
% 169.71/25.68 | | | | | | | | | | | | | | | | |
% 169.71/25.68 | | | | | | | | | | | | | | | | | REF_CLOSE: (508), (827), (847) are inconsistent by sub-proof
% 169.71/25.68 | | | | | | | | | | | | | | | | | #523.
% 169.71/25.68 | | | | | | | | | | | | | | | | |
% 169.71/25.68 | | | | | | | | | | | | | | | | End of split
% 169.71/25.68 | | | | | | | | | | | | | | | |
% 169.71/25.68 | | | | | | | | | | | | | | | End of split
% 169.71/25.68 | | | | | | | | | | | | | | |
% 169.71/25.68 | | | | | | | | | | | | | | End of split
% 169.71/25.68 | | | | | | | | | | | | | |
% 169.71/25.68 | | | | | | | | | | | | | End of split
% 169.71/25.68 | | | | | | | | | | | | |
% 169.71/25.68 | | | | | | | | | | | | End of split
% 169.71/25.68 | | | | | | | | | | | |
% 169.71/25.68 | | | | | | | | | | | End of split
% 169.71/25.68 | | | | | | | | | | |
% 169.71/25.68 | | | | | | | | | | End of split
% 169.71/25.68 | | | | | | | | | |
% 169.71/25.68 | | | | | | | | | End of split
% 169.71/25.68 | | | | | | | | |
% 169.71/25.68 | | | | | | | | Case 2:
% 169.71/25.68 | | | | | | | | |
% 169.71/25.68 | | | | | | | | | (848) all_63_11 = e2 | all_63_11 = e1 | all_63_11 = e0
% 169.71/25.68 | | | | | | | | |
% 169.71/25.68 | | | | | | | | | REF_CLOSE: (505), (784), (796), (805), (848) are inconsistent
% 169.71/25.68 | | | | | | | | | by sub-proof #521.
% 169.71/25.68 | | | | | | | | |
% 169.71/25.68 | | | | | | | | End of split
% 169.71/25.68 | | | | | | | |
% 169.71/25.68 | | | | | | | Case 2:
% 169.71/25.68 | | | | | | | |
% 169.71/25.68 | | | | | | | | (849) all_63_14 = e2 | all_63_14 = e1 | all_63_14 = e0
% 169.71/25.68 | | | | | | | |
% 169.71/25.68 | | | | | | | | REF_CLOSE: (510), (786), (792), (804), (849) are inconsistent by
% 169.71/25.68 | | | | | | | | sub-proof #517.
% 169.71/25.68 | | | | | | | |
% 169.71/25.68 | | | | | | | End of split
% 169.71/25.68 | | | | | | |
% 169.71/25.68 | | | | | | Case 2:
% 169.71/25.68 | | | | | | |
% 169.71/25.68 | | | | | | | (850) all_63_10 = e1 | all_63_10 = e0
% 169.71/25.68 | | | | | | |
% 169.71/25.68 | | | | | | | REF_CLOSE: (586), (769), (794), (850) are inconsistent by
% 169.71/25.68 | | | | | | | sub-proof #516.
% 169.71/25.68 | | | | | | |
% 169.71/25.68 | | | | | | End of split
% 169.71/25.68 | | | | | |
% 169.71/25.68 | | | | | End of split
% 169.71/25.68 | | | | |
% 169.71/25.68 | | | | Case 2:
% 169.71/25.68 | | | | |
% 169.71/25.68 | | | | | (851) ~ (unit = e3)
% 169.71/25.68 | | | | | (852) unit = e2 | unit = e1 | unit = e0
% 169.71/25.68 | | | | |
% 169.71/25.68 | | | | | BETA: splitting (62) gives:
% 169.71/25.68 | | | | |
% 169.71/25.68 | | | | | Case 1:
% 169.71/25.68 | | | | | |
% 169.71/25.68 | | | | | | (853) ~ (all_10_2 = e2)
% 169.71/25.68 | | | | | |
% 169.71/25.68 | | | | | | REDUCE: (572), (853) imply:
% 169.71/25.68 | | | | | | (854) ~ (all_4_2 = e2)
% 169.71/25.68 | | | | | |
% 169.71/25.68 | | | | | | BETA: splitting (261) gives:
% 169.71/25.68 | | | | | |
% 169.71/25.68 | | | | | | Case 1:
% 169.71/25.68 | | | | | | |
% 169.71/25.68 | | | | | | | (855) all_63_10 = e3
% 169.71/25.68 | | | | | | |
% 169.71/25.68 | | | | | | | REF_CLOSE: (586), (766), (855) are inconsistent by sub-proof #515.
% 169.71/25.68 | | | | | | |
% 169.71/25.68 | | | | | | Case 2:
% 169.71/25.68 | | | | | | |
% 169.71/25.68 | | | | | | | (856) all_63_10 = e2 | all_63_10 = e1 | all_63_10 = e0
% 169.71/25.68 | | | | | | |
% 169.71/25.68 | | | | | | | BETA: splitting (856) gives:
% 169.71/25.68 | | | | | | |
% 169.71/25.68 | | | | | | | Case 1:
% 169.71/25.68 | | | | | | | |
% 169.71/25.68 | | | | | | | | (857) all_63_10 = e2
% 169.71/25.68 | | | | | | | |
% 169.71/25.68 | | | | | | | | REF_CLOSE: (586), (854), (857) are inconsistent by sub-proof
% 169.71/25.68 | | | | | | | | #514.
% 169.71/25.68 | | | | | | | |
% 169.71/25.68 | | | | | | | Case 2:
% 169.71/25.68 | | | | | | | |
% 169.71/25.69 | | | | | | | | (858) ~ (all_63_10 = e2)
% 169.71/25.69 | | | | | | | | (859) all_63_10 = e1 | all_63_10 = e0
% 169.71/25.69 | | | | | | | |
% 169.71/25.69 | | | | | | | | BETA: splitting (859) gives:
% 169.71/25.69 | | | | | | | |
% 169.71/25.69 | | | | | | | | Case 1:
% 169.71/25.69 | | | | | | | | |
% 169.71/25.69 | | | | | | | | | (860) all_63_10 = e1
% 169.71/25.69 | | | | | | | | |
% 169.71/25.69 | | | | | | | | | COMBINE_EQS: (586), (860) imply:
% 169.71/25.69 | | | | | | | | | (861) all_4_2 = e1
% 169.71/25.69 | | | | | | | | |
% 169.71/25.69 | | | | | | | | | SIMP: (861) implies:
% 169.71/25.69 | | | | | | | | | (862) all_4_2 = e1
% 169.71/25.69 | | | | | | | | |
% 169.71/25.69 | | | | | | | | | REDUCE: (605), (862) imply:
% 169.71/25.69 | | | | | | | | | (863) ~ (all_61_2 = e1)
% 169.71/25.69 | | | | | | | | |
% 169.71/25.69 | | | | | | | | | REDUCE: (616), (862) imply:
% 169.71/25.69 | | | | | | | | | (864) ~ (all_61_6 = e1)
% 169.71/25.69 | | | | | | | | |
% 169.71/25.69 | | | | | | | | | REDUCE: (618), (862) imply:
% 169.71/25.69 | | | | | | | | | (865) ~ (all_61_8 = e1)
% 169.71/25.69 | | | | | | | | |
% 169.71/25.69 | | | | | | | | | REDUCE: (619), (862) imply:
% 169.71/25.69 | | | | | | | | | (866) ~ (all_61_9 = e1)
% 169.71/25.69 | | | | | | | | |
% 169.71/25.69 | | | | | | | | | REDUCE: (621), (862) imply:
% 169.71/25.69 | | | | | | | | | (867) ~ (all_61_11 = e1)
% 169.71/25.69 | | | | | | | | |
% 169.71/25.69 | | | | | | | | | REDUCE: (623), (862) imply:
% 169.71/25.69 | | | | | | | | | (868) ~ (all_61_14 = e1)
% 169.71/25.69 | | | | | | | | |
% 169.71/25.69 | | | | | | | | | REDUCE: (854), (862) imply:
% 169.71/25.69 | | | | | | | | | (869) ~ (e2 = e1)
% 169.71/25.69 | | | | | | | | |
% 169.71/25.69 | | | | | | | | | REDUCE: (674), (862) imply:
% 169.71/25.69 | | | | | | | | | (870) op(e1, e3) = all_65_40
% 169.71/25.69 | | | | | | | | |
% 169.71/25.69 | | | | | | | | | REDUCE: (675), (862) imply:
% 169.71/25.69 | | | | | | | | | (871) op(e1, e2) = all_65_41
% 169.71/25.69 | | | | | | | | |
% 169.71/25.69 | | | | | | | | | REDUCE: (677), (862) imply:
% 169.71/25.69 | | | | | | | | | (872) op(e1, e0) = all_65_43
% 169.71/25.69 | | | | | | | | |
% 169.71/25.69 | | | | | | | | | REDUCE: (708), (862) imply:
% 169.71/25.69 | | | | | | | | | (873) op(e3, e1) = all_65_10
% 169.71/25.69 | | | | | | | | |
% 169.71/25.69 | | | | | | | | | REDUCE: (725), (862) imply:
% 169.71/25.69 | | | | | | | | | (874) op(e2, e1) = all_65_26
% 169.71/25.69 | | | | | | | | |
% 169.71/25.69 | | | | | | | | | REDUCE: (742), (862) imply:
% 169.71/25.69 | | | | | | | | | (875) op(e1, e1) = all_65_42
% 169.71/25.69 | | | | | | | | |
% 169.71/25.69 | | | | | | | | | REDUCE: (52), (862) imply:
% 169.71/25.69 | | | | | | | | | (876) op(e1, e1) = e1
% 169.71/25.69 | | | | | | | | |
% 169.71/25.69 | | | | | | | | | REDUCE: (759), (862) imply:
% 169.71/25.69 | | | | | | | | | (877) op(e0, e1) = all_65_69
% 169.71/25.69 | | | | | | | | |
% 169.71/25.69 | | | | | | | | | GROUND_INST: instantiating (50) with all_61_11, all_65_69, e1,
% 169.71/25.69 | | | | | | | | | e0, simplifying with (224), (877) gives:
% 169.71/25.69 | | | | | | | | | (878) all_65_69 = all_61_11
% 169.71/25.69 | | | | | | | | |
% 169.71/25.69 | | | | | | | | | GROUND_INST: instantiating (50) with all_61_14, all_65_43, e0,
% 169.71/25.69 | | | | | | | | | e1, simplifying with (227), (872) gives:
% 169.71/25.69 | | | | | | | | | (879) all_65_43 = all_61_14
% 169.71/25.69 | | | | | | | | |
% 169.71/25.69 | | | | | | | | | GROUND_INST: instantiating (50) with e1, all_65_42, e1, e1,
% 169.71/25.69 | | | | | | | | | simplifying with (875), (876) gives:
% 169.71/25.69 | | | | | | | | | (880) all_65_42 = e1
% 169.71/25.69 | | | | | | | | |
% 169.71/25.69 | | | | | | | | | GROUND_INST: instantiating (50) with all_61_6, all_65_41, e2,
% 169.71/25.69 | | | | | | | | | e1, simplifying with (229), (871) gives:
% 169.71/25.69 | | | | | | | | | (881) all_65_41 = all_61_6
% 169.71/25.69 | | | | | | | | |
% 169.71/25.69 | | | | | | | | | GROUND_INST: instantiating (50) with all_61_2, all_65_40, e3,
% 169.71/25.69 | | | | | | | | | e1, simplifying with (230), (870) gives:
% 169.71/25.69 | | | | | | | | | (882) all_65_40 = all_61_2
% 169.71/25.69 | | | | | | | | |
% 169.71/25.69 | | | | | | | | | GROUND_INST: instantiating (50) with all_61_9, all_65_26, e1,
% 169.71/25.69 | | | | | | | | | e2, simplifying with (232), (874) gives:
% 169.71/25.69 | | | | | | | | | (883) all_65_26 = all_61_9
% 169.71/25.69 | | | | | | | | |
% 169.71/25.69 | | | | | | | | | GROUND_INST: instantiating (50) with all_61_8, all_65_10, e1,
% 169.71/25.69 | | | | | | | | | e3, simplifying with (236), (873) gives:
% 169.71/25.69 | | | | | | | | | (884) all_65_10 = all_61_8
% 169.71/25.69 | | | | | | | | |
% 169.71/25.69 | | | | | | | | | REDUCE: (660), (883) imply:
% 169.71/25.69 | | | | | | | | | (885) op(all_61_9, e1) = all_61_9
% 169.71/25.69 | | | | | | | | |
% 169.71/25.69 | | | | | | | | | REDUCE: (692), (878) imply:
% 169.71/25.69 | | | | | | | | | (886) op(all_61_11, e1) = all_61_11
% 169.71/25.69 | | | | | | | | |
% 169.71/25.69 | | | | | | | | | REDUCE: (741), (881) imply:
% 169.71/25.69 | | | | | | | | | (887) op(e1, all_61_6) = all_61_6
% 169.71/25.69 | | | | | | | | |
% 169.71/25.69 | | | | | | | | | BETA: splitting (65) gives:
% 169.71/25.69 | | | | | | | | |
% 169.71/25.69 | | | | | | | | | Case 1:
% 169.71/25.69 | | | | | | | | | |
% 169.71/25.69 | | | | | | | | | | (888) ~ (all_12_2 = e1)
% 169.71/25.69 | | | | | | | | | |
% 169.71/25.69 | | | | | | | | | | REDUCE: (575), (888) imply:
% 169.71/25.69 | | | | | | | | | | (889) ~ (all_6_2 = e1)
% 169.71/25.69 | | | | | | | | | |
% 169.71/25.69 | | | | | | | | | | BETA: splitting (68) gives:
% 169.71/25.69 | | | | | | | | | |
% 169.71/25.69 | | | | | | | | | | Case 1:
% 169.71/25.69 | | | | | | | | | | |
% 169.71/25.69 | | | | | | | | | | | (890) ~ (all_14_2 = e2)
% 169.71/25.69 | | | | | | | | | | |
% 169.71/25.69 | | | | | | | | | | | BETA: splitting (77) gives:
% 169.71/25.69 | | | | | | | | | | |
% 169.71/25.69 | | | | | | | | | | | Case 1:
% 169.71/25.69 | | | | | | | | | | | |
% 169.71/25.69 | | | | | | | | | | | | (891) ~ (all_20_2 = e2)
% 169.71/25.69 | | | | | | | | | | | |
% 169.71/25.69 | | | | | | | | | | | | BETA: splitting (80) gives:
% 169.71/25.69 | | | | | | | | | | | |
% 169.71/25.69 | | | | | | | | | | | | Case 1:
% 169.71/25.69 | | | | | | | | | | | | |
% 169.71/25.69 | | | | | | | | | | | | | (892) ~ (all_22_2 = e0)
% 169.71/25.69 | | | | | | | | | | | | |
% 169.71/25.69 | | | | | | | | | | | | | REDUCE: (449), (892) imply:
% 169.71/25.69 | | | | | | | | | | | | | (893) ~ (all_6_2 = e0)
% 169.71/25.69 | | | | | | | | | | | | |
% 169.71/25.69 | | | | | | | | | | | | | BETA: splitting (266) gives:
% 169.71/25.69 | | | | | | | | | | | | |
% 169.71/25.69 | | | | | | | | | | | | | Case 1:
% 169.71/25.69 | | | | | | | | | | | | | |
% 169.71/25.69 | | | | | | | | | | | | | | (894) all_63_5 = e3
% 169.71/25.69 | | | | | | | | | | | | | |
% 169.71/25.69 | | | | | | | | | | | | | | REF_CLOSE: (587), (767), (894) are inconsistent by sub-proof
% 169.71/25.69 | | | | | | | | | | | | | | #513.
% 169.71/25.69 | | | | | | | | | | | | | |
% 169.71/25.69 | | | | | | | | | | | | | Case 2:
% 169.71/25.69 | | | | | | | | | | | | | |
% 169.71/25.69 | | | | | | | | | | | | | | (895) all_63_5 = e2 | all_63_5 = e1 | all_63_5 = e0
% 169.71/25.69 | | | | | | | | | | | | | |
% 169.71/25.69 | | | | | | | | | | | | | | BETA: splitting (895) gives:
% 169.71/25.69 | | | | | | | | | | | | | |
% 169.71/25.69 | | | | | | | | | | | | | | Case 1:
% 169.71/25.69 | | | | | | | | | | | | | | |
% 169.71/25.69 | | | | | | | | | | | | | | | (896) all_63_5 = e2
% 169.71/25.69 | | | | | | | | | | | | | | |
% 169.71/25.69 | | | | | | | | | | | | | | | COMBINE_EQS: (587), (896) imply:
% 169.71/25.69 | | | | | | | | | | | | | | | (897) all_6_2 = e2
% 169.71/25.69 | | | | | | | | | | | | | | |
% 169.71/25.69 | | | | | | | | | | | | | | | SIMP: (897) implies:
% 169.71/25.69 | | | | | | | | | | | | | | | (898) all_6_2 = e2
% 169.71/25.69 | | | | | | | | | | | | | | |
% 169.71/25.69 | | | | | | | | | | | | | | | REDUCE: (604), (898) imply:
% 169.71/25.69 | | | | | | | | | | | | | | | (899) ~ (all_61_1 = e2)
% 169.71/25.69 | | | | | | | | | | | | | | |
% 169.71/25.69 | | | | | | | | | | | | | | | REDUCE: (607), (898) imply:
% 169.71/25.69 | | | | | | | | | | | | | | | (900) ~ (all_61_4 = e2)
% 169.71/25.69 | | | | | | | | | | | | | | |
% 169.71/25.69 | | | | | | | | | | | | | | | REDUCE: (611), (898) imply:
% 169.71/25.69 | | | | | | | | | | | | | | | (901) ~ (all_61_7 = e2)
% 169.71/25.69 | | | | | | | | | | | | | | |
% 169.71/25.69 | | | | | | | | | | | | | | | REDUCE: (613), (898) imply:
% 169.71/25.69 | | | | | | | | | | | | | | | (902) ~ (all_61_9 = e2)
% 169.71/25.69 | | | | | | | | | | | | | | |
% 169.71/25.69 | | | | | | | | | | | | | | | REDUCE: (615), (898) imply:
% 169.71/25.69 | | | | | | | | | | | | | | | (903) ~ (all_61_13 = e2)
% 169.71/25.69 | | | | | | | | | | | | | | |
% 169.71/25.69 | | | | | | | | | | | | | | | REDUCE: (654), (898) imply:
% 169.71/25.69 | | | | | | | | | | | | | | | (904) op(e2, e3) = all_65_20
% 169.71/25.69 | | | | | | | | | | | | | | |
% 169.71/25.69 | | | | | | | | | | | | | | | REDUCE: (656), (898) imply:
% 169.71/25.69 | | | | | | | | | | | | | | | (905) op(e2, e1) = all_65_22
% 169.71/25.69 | | | | | | | | | | | | | | |
% 169.71/25.69 | | | | | | | | | | | | | | | REDUCE: (657), (898) imply:
% 169.71/25.69 | | | | | | | | | | | | | | | (906) op(e2, e0) = all_65_23
% 169.71/25.69 | | | | | | | | | | | | | | |
% 169.71/25.69 | | | | | | | | | | | | | | | REDUCE: (703), (898) imply:
% 169.71/25.69 | | | | | | | | | | | | | | | (907) op(e3, e2) = all_65_5
% 169.71/25.69 | | | | | | | | | | | | | | |
% 169.71/25.69 | | | | | | | | | | | | | | | REDUCE: (720), (898) imply:
% 169.71/25.69 | | | | | | | | | | | | | | | (908) op(e2, e2) = all_65_21
% 169.71/25.69 | | | | | | | | | | | | | | |
% 169.71/25.69 | | | | | | | | | | | | | | | REDUCE: (55), (898) imply:
% 169.71/25.69 | | | | | | | | | | | | | | | (909) op(e2, e2) = e2
% 169.71/25.69 | | | | | | | | | | | | | | |
% 169.71/25.69 | | | | | | | | | | | | | | | REDUCE: (737), (898) imply:
% 169.71/25.69 | | | | | | | | | | | | | | | (910) op(e1, e2) = all_65_37
% 169.71/25.69 | | | | | | | | | | | | | | |
% 169.71/25.69 | | | | | | | | | | | | | | | REDUCE: (754), (898) imply:
% 169.71/25.69 | | | | | | | | | | | | | | | (911) op(e0, e2) = all_65_59
% 169.71/25.69 | | | | | | | | | | | | | | |
% 169.71/25.69 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_7, all_65_59, e2,
% 169.71/25.69 | | | | | | | | | | | | | | | e0, simplifying with (225), (911) gives:
% 169.71/25.69 | | | | | | | | | | | | | | | (912) all_65_59 = all_61_7
% 169.71/25.69 | | | | | | | | | | | | | | |
% 169.71/25.69 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_6, all_65_37, e2,
% 169.71/25.69 | | | | | | | | | | | | | | | e1, simplifying with (229), (910) gives:
% 169.71/25.69 | | | | | | | | | | | | | | | (913) all_65_37 = all_61_6
% 169.71/25.69 | | | | | | | | | | | | | | |
% 169.71/25.69 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_13, all_65_23, e0,
% 169.71/25.69 | | | | | | | | | | | | | | | e2, simplifying with (231), (906) gives:
% 169.71/25.69 | | | | | | | | | | | | | | | (914) all_65_23 = all_61_13
% 169.71/25.69 | | | | | | | | | | | | | | |
% 169.71/25.69 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_9, all_65_22, e1,
% 169.71/25.69 | | | | | | | | | | | | | | | e2, simplifying with (232), (905) gives:
% 169.71/25.69 | | | | | | | | | | | | | | | (915) all_65_22 = all_61_9
% 169.71/25.69 | | | | | | | | | | | | | | |
% 169.71/25.69 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e2, all_65_21, e2, e2,
% 169.71/25.69 | | | | | | | | | | | | | | | simplifying with (908), (909) gives:
% 169.71/25.69 | | | | | | | | | | | | | | | (916) all_65_21 = e2
% 169.71/25.69 | | | | | | | | | | | | | | |
% 169.71/25.69 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_1, all_65_20, e3,
% 169.71/25.69 | | | | | | | | | | | | | | | e2, simplifying with (234), (904) gives:
% 169.71/25.69 | | | | | | | | | | | | | | | (917) all_65_20 = all_61_1
% 169.71/25.69 | | | | | | | | | | | | | | |
% 169.71/25.69 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_4, all_65_5, e2,
% 169.71/25.69 | | | | | | | | | | | | | | | e3, simplifying with (237), (907) gives:
% 169.71/25.69 | | | | | | | | | | | | | | | (918) all_65_5 = all_61_4
% 169.71/25.69 | | | | | | | | | | | | | | |
% 169.71/25.69 | | | | | | | | | | | | | | | REDUCE: (687), (912) imply:
% 169.71/25.69 | | | | | | | | | | | | | | | (919) op(all_61_7, e2) = all_61_7
% 169.71/25.69 | | | | | | | | | | | | | | |
% 169.71/25.69 | | | | | | | | | | | | | | | BETA: splitting (89) gives:
% 169.71/25.69 | | | | | | | | | | | | | | |
% 169.71/25.69 | | | | | | | | | | | | | | | Case 1:
% 169.71/25.69 | | | | | | | | | | | | | | | |
% 169.71/25.69 | | | | | | | | | | | | | | | | (920) ~ (all_28_2 = e3)
% 169.71/25.69 | | | | | | | | | | | | | | | |
% 169.71/25.69 | | | | | | | | | | | | | | | | REDUCE: (563), (920) imply:
% 169.71/25.69 | | | | | | | | | | | | | | | | (921) ~ (all_20_2 = e3)
% 169.71/25.69 | | | | | | | | | | | | | | | |
% 169.71/25.69 | | | | | | | | | | | | | | | | BETA: splitting (101) gives:
% 169.71/25.69 | | | | | | | | | | | | | | | |
% 169.71/25.69 | | | | | | | | | | | | | | | | Case 1:
% 169.71/25.69 | | | | | | | | | | | | | | | | |
% 169.71/25.69 | | | | | | | | | | | | | | | | | (922) ~ (all_36_2 = e0)
% 169.71/25.69 | | | | | | | | | | | | | | | | |
% 169.71/25.69 | | | | | | | | | | | | | | | | | REDUCE: (557), (922) imply:
% 169.71/25.69 | | | | | | | | | | | | | | | | | (923) ~ (all_14_2 = e0)
% 169.71/25.69 | | | | | | | | | | | | | | | | |
% 169.71/25.69 | | | | | | | | | | | | | | | | | BETA: splitting (107) gives:
% 169.71/25.69 | | | | | | | | | | | | | | | | |
% 169.71/25.69 | | | | | | | | | | | | | | | | | Case 1:
% 169.71/25.69 | | | | | | | | | | | | | | | | | |
% 169.71/25.69 | | | | | | | | | | | | | | | | | | (924) ~ (all_40_2 = e1)
% 169.71/25.69 | | | | | | | | | | | | | | | | | |
% 169.71/25.69 | | | | | | | | | | | | | | | | | | REDUCE: (553), (924) imply:
% 169.71/25.69 | | | | | | | | | | | | | | | | | | (925) ~ (all_14_2 = e1)
% 169.71/25.69 | | | | | | | | | | | | | | | | | |
% 169.71/25.69 | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (50), (67), (151), (159), (162), (165),
% 169.71/25.69 | | | | | | | | | | | | | | | | | | (166), (167), (168), (226), (230), (234), (235),
% 169.71/25.69 | | | | | | | | | | | | | | | | | | (236), (237), (271), (475), (478), (481), (484),
% 169.71/25.69 | | | | | | | | | | | | | | | | | | (534), (588), (599), (601), (603), (635), (636),
% 169.71/25.69 | | | | | | | | | | | | | | | | | | (637), (638), (642), (646), (650), (666), (682),
% 169.71/25.69 | | | | | | | | | | | | | | | | | | (698), (714), (715), (731), (732), (748), (749),
% 169.71/25.69 | | | | | | | | | | | | | | | | | | (765), (851), (890), (923), (925) are inconsistent
% 169.71/25.69 | | | | | | | | | | | | | | | | | | by sub-proof #502.
% 169.71/25.69 | | | | | | | | | | | | | | | | | |
% 169.71/25.69 | | | | | | | | | | | | | | | | | Case 2:
% 169.71/25.69 | | | | | | | | | | | | | | | | | |
% 169.71/25.69 | | | | | | | | | | | | | | | | | | (926) all_40_2 = e1
% 169.71/25.69 | | | | | | | | | | | | | | | | | | (927) op(e3, e1) = all_40_1 & $i(all_40_1) & ( ~
% 169.71/25.69 | | | | | | | | | | | | | | | | | | (all_40_1 = e0) | ( ~ (all_40_0 = e2) & op(e0,
% 169.71/25.69 | | | | | | | | | | | | | | | | | | e3) = all_40_0 & $i(all_40_0)))
% 169.71/25.69 | | | | | | | | | | | | | | | | | |
% 169.71/25.69 | | | | | | | | | | | | | | | | | | ALPHA: (927) implies:
% 169.71/25.69 | | | | | | | | | | | | | | | | | | (928) op(e3, e1) = all_40_1
% 169.71/25.69 | | | | | | | | | | | | | | | | | |
% 169.71/25.69 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (553), (926) imply:
% 169.71/25.69 | | | | | | | | | | | | | | | | | | (929) all_14_2 = e1
% 169.71/25.69 | | | | | | | | | | | | | | | | | |
% 169.71/25.69 | | | | | | | | | | | | | | | | | | SIMP: (929) implies:
% 169.71/25.69 | | | | | | | | | | | | | | | | | | (930) all_14_2 = e1
% 169.71/25.69 | | | | | | | | | | | | | | | | | |
% 169.71/25.69 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (466), (930) imply:
% 169.71/25.69 | | | | | | | | | | | | | | | | | | (931) all_48_2 = e1
% 169.71/25.69 | | | | | | | | | | | | | | | | | |
% 169.71/25.69 | | | | | | | | | | | | | | | | | | REDUCE: (593), (930) imply:
% 169.71/25.69 | | | | | | | | | | | | | | | | | | (932) ~ (all_61_1 = e1)
% 169.71/25.69 | | | | | | | | | | | | | | | | | |
% 169.71/25.69 | | | | | | | | | | | | | | | | | | REDUCE: (599), (930) imply:
% 169.71/25.69 | | | | | | | | | | | | | | | | | | (933) ~ (all_61_4 = e1)
% 169.71/25.69 | | | | | | | | | | | | | | | | | |
% 169.71/25.69 | | | | | | | | | | | | | | | | | | REDUCE: (603), (930) imply:
% 169.71/25.69 | | | | | | | | | | | | | | | | | | (934) ~ (all_61_12 = e1)
% 169.71/25.69 | | | | | | | | | | | | | | | | | |
% 169.71/25.69 | | | | | | | | | | | | | | | | | | REDUCE: (634), (930) imply:
% 169.71/25.69 | | | | | | | | | | | | | | | | | | (935) op(e1, e3) = all_65_0
% 169.71/25.69 | | | | | | | | | | | | | | | | | |
% 169.71/25.69 | | | | | | | | | | | | | | | | | | REDUCE: (635), (930) imply:
% 169.71/25.69 | | | | | | | | | | | | | | | | | | (936) op(e1, e2) = all_65_1
% 169.71/25.69 | | | | | | | | | | | | | | | | | |
% 169.71/25.69 | | | | | | | | | | | | | | | | | | REDUCE: (636), (930) imply:
% 169.71/25.69 | | | | | | | | | | | | | | | | | | (937) op(e1, e1) = all_65_2
% 169.71/25.69 | | | | | | | | | | | | | | | | | |
% 169.71/25.69 | | | | | | | | | | | | | | | | | | REDUCE: (637), (930) imply:
% 169.71/25.69 | | | | | | | | | | | | | | | | | | (938) op(e1, e0) = all_65_3
% 169.71/25.69 | | | | | | | | | | | | | | | | | |
% 169.71/25.69 | | | | | | | | | | | | | | | | | | REDUCE: (698), (930) imply:
% 169.71/25.69 | | | | | | | | | | | | | | | | | | (939) op(e3, e1) = all_65_0
% 169.71/25.69 | | | | | | | | | | | | | | | | | |
% 169.71/25.69 | | | | | | | | | | | | | | | | | | REDUCE: (715), (930) imply:
% 169.71/25.69 | | | | | | | | | | | | | | | | | | (940) op(e2, e1) = all_65_16
% 169.71/25.69 | | | | | | | | | | | | | | | | | |
% 169.71/25.69 | | | | | | | | | | | | | | | | | | REDUCE: (732), (930) imply:
% 169.71/25.69 | | | | | | | | | | | | | | | | | | (941) op(e1, e1) = all_65_32
% 169.71/25.69 | | | | | | | | | | | | | | | | | |
% 169.71/25.69 | | | | | | | | | | | | | | | | | | REDUCE: (749), (930) imply:
% 169.71/25.69 | | | | | | | | | | | | | | | | | | (942) op(e0, e1) = all_65_49
% 169.71/25.69 | | | | | | | | | | | | | | | | | |
% 169.71/25.69 | | | | | | | | | | | | | | | | | | BETA: splitting (119) gives:
% 169.71/25.69 | | | | | | | | | | | | | | | | | |
% 169.71/25.69 | | | | | | | | | | | | | | | | | | Case 1:
% 169.71/25.69 | | | | | | | | | | | | | | | | | | |
% 169.71/25.69 | | | | | | | | | | | | | | | | | | | (943) ~ (all_48_2 = e1)
% 169.71/25.69 | | | | | | | | | | | | | | | | | | |
% 169.71/25.69 | | | | | | | | | | | | | | | | | | | REDUCE: (931), (943) imply:
% 169.71/25.69 | | | | | | | | | | | | | | | | | | | (944) $false
% 169.71/25.69 | | | | | | | | | | | | | | | | | | |
% 169.71/25.69 | | | | | | | | | | | | | | | | | | | CLOSE: (944) is inconsistent.
% 169.71/25.69 | | | | | | | | | | | | | | | | | | |
% 169.71/25.70 | | | | | | | | | | | | | | | | | | Case 2:
% 169.71/25.70 | | | | | | | | | | | | | | | | | | |
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | (945) op(e3, e1) = all_48_1 & $i(all_48_1) & ( ~
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | (all_48_1 = e2) | ( ~ (all_48_0 = e0) & op(e2,
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | e3) = all_48_0 & $i(all_48_0)))
% 169.71/25.70 | | | | | | | | | | | | | | | | | | |
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | ALPHA: (945) implies:
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | (946) op(e3, e1) = all_48_1
% 169.71/25.70 | | | | | | | | | | | | | | | | | | |
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_11, all_65_49, e1,
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | e0, simplifying with (224), (942) gives:
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | (947) all_65_49 = all_61_11
% 169.71/25.70 | | | | | | | | | | | | | | | | | | |
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_14, all_65_3, e0,
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | e1, simplifying with (227), (938) gives:
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | (948) all_65_3 = all_61_14
% 169.71/25.70 | | | | | | | | | | | | | | | | | | |
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e1, all_65_2, e1, e1,
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | simplifying with (876), (937) gives:
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | (949) all_65_2 = e1
% 169.71/25.70 | | | | | | | | | | | | | | | | | | |
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_32, all_65_2, e1,
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | e1, simplifying with (937), (941) gives:
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | (950) all_65_2 = all_65_32
% 169.71/25.70 | | | | | | | | | | | | | | | | | | |
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_6, all_65_1, e2,
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | e1, simplifying with (229), (936) gives:
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | (951) all_65_1 = all_61_6
% 169.71/25.70 | | | | | | | | | | | | | | | | | | |
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_2, all_65_0, e3,
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | e1, simplifying with (230), (935) gives:
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | (952) all_65_0 = all_61_2
% 169.71/25.70 | | | | | | | | | | | | | | | | | | |
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_9, all_65_16, e1,
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | e2, simplifying with (232), (940) gives:
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | (953) all_65_16 = all_61_9
% 169.71/25.70 | | | | | | | | | | | | | | | | | | |
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_8, all_48_1, e1,
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | e3, simplifying with (236), (946) gives:
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | (954) all_61_8 = all_48_1
% 169.71/25.70 | | | | | | | | | | | | | | | | | | |
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_8, all_65_0, e1,
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | e3, simplifying with (236), (939) gives:
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | (955) all_65_0 = all_61_8
% 169.71/25.70 | | | | | | | | | | | | | | | | | | |
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_40_1, all_65_0, e1,
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | e3, simplifying with (928), (939) gives:
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | (956) all_65_0 = all_40_1
% 169.71/25.70 | | | | | | | | | | | | | | | | | | |
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (952), (956) imply:
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | (957) all_61_2 = all_40_1
% 169.71/25.70 | | | | | | | | | | | | | | | | | | |
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | SIMP: (957) implies:
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | (958) all_61_2 = all_40_1
% 169.71/25.70 | | | | | | | | | | | | | | | | | | |
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (955), (956) imply:
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | (959) all_61_8 = all_40_1
% 169.71/25.70 | | | | | | | | | | | | | | | | | | |
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | SIMP: (959) implies:
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | (960) all_61_8 = all_40_1
% 169.71/25.70 | | | | | | | | | | | | | | | | | | |
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (949), (950) imply:
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | (961) all_65_32 = e1
% 169.71/25.70 | | | | | | | | | | | | | | | | | | |
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (954), (960) imply:
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | (962) all_48_1 = all_40_1
% 169.71/25.70 | | | | | | | | | | | | | | | | | | |
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | SIMP: (962) implies:
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | (963) all_48_1 = all_40_1
% 169.71/25.70 | | | | | | | | | | | | | | | | | | |
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (499), (958) imply:
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | (964) all_63_8 = all_40_1
% 169.71/25.70 | | | | | | | | | | | | | | | | | | |
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (489), (960) imply:
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | (965) all_63_2 = all_40_1
% 169.71/25.70 | | | | | | | | | | | | | | | | | | |
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | REDUCE: (201), (960) imply:
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | (966) ~ (all_61_4 = all_40_1)
% 169.71/25.70 | | | | | | | | | | | | | | | | | | |
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | REDUCE: (190), (960) imply:
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | (967) ~ (all_61_9 = all_40_1)
% 169.71/25.70 | | | | | | | | | | | | | | | | | | |
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | SIMP: (967) implies:
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | (968) ~ (all_61_9 = all_40_1)
% 169.71/25.70 | | | | | | | | | | | | | | | | | | |
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | REDUCE: (187), (960) imply:
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | (969) ~ (all_61_12 = all_40_1)
% 169.71/25.70 | | | | | | | | | | | | | | | | | | |
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | SIMP: (969) implies:
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | (970) ~ (all_61_12 = all_40_1)
% 169.71/25.70 | | | | | | | | | | | | | | | | | | |
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | REDUCE: (865), (960) imply:
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | (971) ~ (all_40_1 = e1)
% 169.71/25.70 | | | | | | | | | | | | | | | | | | |
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | REDUCE: (666), (958), (961) imply:
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | (972) op(all_40_1, e3) = e1
% 169.71/25.70 | | | | | | | | | | | | | | | | | | |
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | REDUCE: (642), (960) imply:
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | (973) op(all_40_1, e3) = all_65_8
% 169.71/25.70 | | | | | | | | | | | | | | | | | | |
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e1, all_65_8, e3,
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | all_40_1, simplifying with (972), (973) gives:
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | (974) all_65_8 = e1
% 169.71/25.70 | | | | | | | | | | | | | | | | | | |
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | BETA: splitting (110) gives:
% 169.71/25.70 | | | | | | | | | | | | | | | | | | |
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | Case 1:
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | |
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | (975) ~ (all_42_2 = e1)
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | |
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | REDUCE: (532), (975) imply:
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | (976) ~ (all_20_2 = e1)
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | |
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | BETA: splitting (256) gives:
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | |
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | Case 1:
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | |
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | (977) all_63_15 = e3
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | |
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (422), (921), (977) are inconsistent by sub-proof
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | #501.
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | |
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | Case 2:
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | |
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | (978) all_63_15 = e2 | all_63_15 = e1 | all_63_15 = e0
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | |
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (978) gives:
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | |
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | |
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | | (979) all_63_15 = e2
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | |
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (422), (891), (979) are inconsistent by sub-proof
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | | #500.
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | |
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | |
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | | (980) all_63_15 = e1 | all_63_15 = e0
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | |
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (980) gives:
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | |
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | | |
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | | | (981) all_63_15 = e1
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | | |
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (422), (976), (981) are inconsistent by sub-proof
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | | | #499.
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | | |
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | | |
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | | | (982) all_63_15 = e0
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | | |
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (422), (982) imply:
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | | | (983) all_20_2 = e0
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | | |
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (983) implies:
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | | | (984) all_20_2 = e0
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | | |
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (625), (984) imply:
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | | | (985) ~ (all_61_12 = e0)
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | | |
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (627), (984) imply:
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | | | (986) ~ (all_61_14 = e0)
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | | |
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (696), (984) imply:
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | | | (987) op(e0, e1) = all_65_77
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | | |
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (747), (984) imply:
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | | | (988) op(e1, e0) = all_65_47
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | | |
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_11, all_65_77, e1,
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | | | e0, simplifying with (224), (987) gives:
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | | | (989) all_65_77 = all_61_11
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | | |
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_14, all_65_47, e0,
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | | | e1, simplifying with (227), (988) gives:
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | | | (990) all_65_47 = all_61_14
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | | |
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (162) gives:
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | | |
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | | | |
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | | | | (991) ~ (all_58_2 = e3)
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | | | |
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (478), (991) imply:
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | | | | (992) ~ (all_52_2 = e3)
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | | | |
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (161) gives:
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | | | |
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | | | | |
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | | | | | (993) ~ (all_58_2 = e2)
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | | | | |
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (478), (993) imply:
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | | | | | (994) ~ (all_52_2 = e2)
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | | | | |
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (50), (149), (160), (224), (227), (475),
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | | | | | (478), (538), (680), (748), (765), (868), (876),
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | | | | | (886), (986), (992), (994) are inconsistent by
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #493.
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | | | | |
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | | | | |
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | | | | | (995) all_58_2 = e2
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | | | | | (996) all_58_1 = e1
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | | | | |
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (481), (996) imply:
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | | | | | (997) all_52_1 = e1
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | | | | |
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (997) implies:
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | | | | | (998) all_52_1 = e1
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | | | | |
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (478), (995) imply:
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | | | | | (999) all_52_2 = e2
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | | | | |
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (731), (998) imply:
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | | | | | (1000) op(e2, e1) = unit
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | | | | |
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (748), (999) imply:
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | | | | | (1001) op(e1, e2) = unit
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | | | | |
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_6, unit, e2, e1,
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (229), (1001) gives:
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | | | | | (1002) all_61_6 = unit
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | | | | |
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_9, unit, e1, e2,
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (232), (1000) gives:
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | | | | | (1003) all_61_9 = unit
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | | | | |
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (497), (1003) imply:
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | | | | | (1004) all_63_6 = unit
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | | | | |
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (203), (1002) imply:
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | | | | | (1005) ~ (all_61_4 = unit)
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | | | | |
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (968), (1003) imply:
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | | | | | (1006) ~ (all_40_1 = unit)
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | | | | |
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1006) implies:
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | | | | | (1007) ~ (all_40_1 = unit)
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | | | | |
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (902), (1003) imply:
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | | | | | (1008) ~ (unit = e2)
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | | | | |
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (866), (1003) imply:
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | | | | | (1009) ~ (unit = e1)
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | | | | |
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (265) gives:
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | | | | |
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | | | | | | (1010) all_63_6 = e3
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1004), (1010) imply:
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | | | | | | (1011) unit = e3
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (851), (1011) imply:
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | | | | | | (1012) $false
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1012) is inconsistent.
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | | | | | | (1013) all_63_6 = e2 | all_63_6 = e1 | all_63_6 = e0
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1013) gives:
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1014) all_63_6 = e2
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1004), (1014) imply:
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1015) unit = e2
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1008), (1015) imply:
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1016) $false
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1016) is inconsistent.
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1017) all_63_6 = e1 | all_63_6 = e0
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1017) gives:
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1018) all_63_6 = e1
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1004), (1018) imply:
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1019) unit = e1
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1009), (1019) imply:
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1020) $false
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1020) is inconsistent.
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1021) all_63_6 = e0
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1004), (1021) imply:
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1022) unit = e0
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1005), (1022) imply:
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1023) ~ (all_61_4 = e0)
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1007), (1022) imply:
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1024) ~ (all_40_1 = e0)
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (270) gives:
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1025) all_63_1 = e3
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (488), (1025) imply:
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1026) all_61_4 = e3
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (200), (1026) imply:
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1027) ~ (all_61_12 = e3)
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1027) implies:
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1028) ~ (all_61_12 = e3)
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (966), (1026) imply:
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1029) ~ (all_40_1 = e3)
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1029) implies:
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1030) ~ (all_40_1 = e3)
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (269) gives:
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1031) all_63_2 = e3
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (965), (1031) imply:
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1032) all_40_1 = e3
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1030), (1032) imply:
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1033) $false
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1033) is inconsistent.
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 169.71/25.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1034) ~ (all_63_2 = e3)
% 169.71/25.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1035) all_63_2 = e2 | all_63_2 = e1 | all_63_2 = e0
% 169.71/25.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 169.71/25.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (268) gives:
% 169.71/25.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 169.71/25.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 169.71/25.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 169.71/25.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1036) all_63_3 = e3
% 169.71/25.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 169.71/25.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (491), (1036) imply:
% 169.71/25.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1037) all_61_12 = e3
% 169.71/25.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 169.71/25.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1028), (1037) imply:
% 169.71/25.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1038) $false
% 169.71/25.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 169.71/25.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1038) is inconsistent.
% 169.71/25.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 169.71/25.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 169.71/25.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 169.71/25.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1039) all_63_3 = e2 | all_63_3 = e1 | all_63_3 = e0
% 169.71/25.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 169.71/25.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (263) gives:
% 169.71/25.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 169.71/25.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 169.71/25.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 169.71/25.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1040) all_63_8 = e3
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (964), (1040) imply:
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1041) all_40_1 = e3
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1030), (1041) imply:
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1042) $false
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1042) is inconsistent.
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1043) all_63_8 = e2 | all_63_8 = e1 | all_63_8 = e0
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1035) gives:
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1044) all_63_2 = e2
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (965), (1044) imply:
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1045) all_40_1 = e2
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (970), (1045) imply:
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1046) ~ (all_61_12 = e2)
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (491), (934), (985), (1039), (1046) are
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #489.
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1047) ~ (all_63_2 = e2)
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (965), (1047) imply:
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1048) ~ (all_40_1 = e2)
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (964), (971), (1024), (1043), (1048) are
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #487.
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1049) all_63_1 = e2 | all_63_1 = e1 | all_63_1 = e0
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (488), (900), (933), (1023), (1049) are
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #485.
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | | | | | (1050) all_58_2 = e3
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | | | | | (1051) all_58_0 = e1
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (50), (478), (484), (629), (714), (928),
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | | | | | (972), (1050), (1051) are inconsistent by
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #483.
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | | | End of split
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | | End of split
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | End of split
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | |
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | Case 2:
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | |
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | (1052) all_42_2 = e1
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | (1053) op(e0, e1) = all_42_1 & $i(all_42_1) & ( ~
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | (all_42_1 = e3) | ( ~ (all_42_0 = e2) & op(e3,
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | e0) = all_42_0 & $i(all_42_0)))
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | |
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | ALPHA: (1053) implies:
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | (1054) op(e0, e1) = all_42_1
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | |
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (532), (1052) imply:
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | (1055) all_20_2 = e1
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | |
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | SIMP: (1055) implies:
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | (1056) all_20_2 = e1
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | |
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | REDUCE: (626), (1056) imply:
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | (1057) ~ (all_61_13 = e1)
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | |
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | REDUCE: (696), (1056) imply:
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | (1058) op(e1, e1) = all_65_77
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | |
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | REDUCE: (697), (1056) imply:
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | (1059) op(e1, e0) = all_65_78
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | |
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | REDUCE: (713), (1056) imply:
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | (1060) op(e3, e1) = all_65_15
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | |
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | REDUCE: (730), (1056) imply:
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | (1061) op(e2, e1) = all_65_31
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | |
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | REDUCE: (747), (1056) imply:
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | (1062) op(e1, e1) = all_65_47
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | |
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | REDUCE: (764), (1056) imply:
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | (1063) op(e0, e1) = all_65_78
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | |
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_11, all_65_78, e1,
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | e0, simplifying with (224), (1063) gives:
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | (1064) all_65_78 = all_61_11
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | |
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_42_1, all_65_78, e1,
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | e0, simplifying with (1054), (1063) gives:
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | (1065) all_65_78 = all_42_1
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | |
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_14, all_65_78, e0,
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | e1, simplifying with (227), (1059) gives:
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | (1066) all_65_78 = all_61_14
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | |
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e1, all_65_47, e1, e1,
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | simplifying with (876), (1062) gives:
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | (1067) all_65_47 = e1
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | |
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_77, all_65_47, e1,
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | e1, simplifying with (1058), (1062) gives:
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | (1068) all_65_47 = all_65_77
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | |
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_9, all_65_31, e1,
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | e2, simplifying with (232), (1061) gives:
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | (1069) all_65_31 = all_61_9
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | |
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_40_1, all_65_15, e1,
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | e3, simplifying with (928), (1060) gives:
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | (1070) all_65_15 = all_40_1
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | |
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1067), (1068) imply:
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | (1071) all_65_77 = e1
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | |
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | SIMP: (1071) implies:
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | (1072) all_65_77 = e1
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | |
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1064), (1066) imply:
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | (1073) all_61_11 = all_61_14
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | |
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1064), (1065) imply:
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | (1074) all_61_11 = all_42_1
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | |
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1073), (1074) imply:
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | (1075) all_61_14 = all_42_1
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | |
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | SIMP: (1075) implies:
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | (1076) all_61_14 = all_42_1
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | |
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | REDUCE: (693), (1074) imply:
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | (1077) op(all_42_1, e0) = all_65_71
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | |
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | REDUCE: (681), (1067), (1076) imply:
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | (1078) op(all_42_1, e0) = e1
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | |
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | REDUCE: (227), (1076) imply:
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | (1079) op(e1, e0) = all_42_1
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | |
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e1, all_65_71, e0,
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | all_42_1, simplifying with (1077), (1078) gives:
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | (1080) all_65_71 = e1
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | |
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | BETA: splitting (161) gives:
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | |
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | Case 1:
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | | (1081) ~ (all_58_2 = e2)
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | | REDUCE: (478), (1081) imply:
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | | (1082) ~ (all_52_2 = e2)
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (160) gives:
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | | | (1083) ~ (all_58_2 = e0)
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (478), (1083) imply:
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | | | (1084) ~ (all_52_2 = e0)
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (162) gives:
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | | | | (1085) ~ (all_58_2 = e3)
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (50), (149), (232), (478), (538), (748),
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | | | | (876), (902), (1082), (1084), (1085) are
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #479.
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | | | | (1086) all_58_2 = e3
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | | | | (1087) all_58_0 = e1
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (50), (478), (484), (629), (714), (928),
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | | | | (972), (1086), (1087) are inconsistent by
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #483.
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | | | End of split
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | | | (1088) all_58_3 = e1
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | | | (1089) all_58_2 = e0
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (50), (475), (478), (633), (748), (1078),
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | | | (1079), (1088), (1089) are inconsistent by
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | | | sub-proof #476.
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | | End of split
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | Case 2:
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | | (1090) all_58_1 = e1
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (481), (1090) imply:
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | | (1091) all_52_1 = e1
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | | SIMP: (1091) implies:
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | | (1092) all_52_1 = e1
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | | REDUCE: (731), (1092) imply:
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | | (1093) op(e2, e1) = unit
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_9, unit, e1, e2,
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | | simplifying with (232), (1093) gives:
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | | (1094) all_61_9 = unit
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | | REDUCE: (213), (1094) imply:
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | | (1095) ~ (all_61_1 = unit)
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | | REDUCE: (184), (1094) imply:
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | | (1096) ~ (all_61_13 = unit)
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | | SIMP: (1096) implies:
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | | (1097) ~ (all_61_13 = unit)
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | | REDUCE: (902), (1094) imply:
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | | (1098) ~ (unit = e2)
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | | REDUCE: (866), (1094) imply:
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | | (1099) ~ (unit = e1)
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (852) gives:
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 170.40/25.71 | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.72 | | | | | | | | | | | | | | | | | | | | | | (1100) unit = e2
% 170.40/25.72 | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.72 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1098), (1100) imply:
% 170.40/25.72 | | | | | | | | | | | | | | | | | | | | | | (1101) $false
% 170.40/25.72 | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.72 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1101) is inconsistent.
% 170.40/25.72 | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.72 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 170.40/25.72 | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.72 | | | | | | | | | | | | | | | | | | | | | | (1102) unit = e1 | unit = e0
% 170.40/25.72 | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.72 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1102) gives:
% 170.40/25.72 | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.72 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 170.40/25.72 | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.72 | | | | | | | | | | | | | | | | | | | | | | | (1103) unit = e1
% 170.40/25.72 | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.72 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1099), (1103) imply:
% 170.40/25.72 | | | | | | | | | | | | | | | | | | | | | | | (1104) $false
% 170.40/25.72 | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.72 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1104) is inconsistent.
% 170.40/25.72 | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.72 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 170.40/25.72 | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.72 | | | | | | | | | | | | | | | | | | | | | | | (1105) unit = e0
% 170.40/25.72 | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.72 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1095), (1105) imply:
% 170.40/25.72 | | | | | | | | | | | | | | | | | | | | | | | (1106) ~ (all_61_1 = e0)
% 170.40/25.72 | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.72 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1097), (1105) imply:
% 170.40/25.72 | | | | | | | | | | | | | | | | | | | | | | | (1107) ~ (all_61_13 = e0)
% 170.40/25.72 | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.72 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (267) gives:
% 170.40/25.72 | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.72 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 170.40/25.72 | | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.72 | | | | | | | | | | | | | | | | | | | | | | | | (1108) all_63_4 = e3
% 170.40/25.72 | | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.72 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (493), (1108) imply:
% 170.40/25.72 | | | | | | | | | | | | | | | | | | | | | | | | (1109) all_61_1 = e3
% 170.40/25.72 | | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.72 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (212), (1109) imply:
% 170.40/25.72 | | | | | | | | | | | | | | | | | | | | | | | | (1110) ~ (all_61_13 = e3)
% 170.40/25.72 | | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.72 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1110) implies:
% 170.40/25.72 | | | | | | | | | | | | | | | | | | | | | | | | (1111) ~ (all_61_13 = e3)
% 170.40/25.72 | | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.72 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (264), (498), (903), (1057), (1107), (1111) are
% 170.40/25.72 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #473.
% 170.40/25.72 | | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.72 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 170.40/25.72 | | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.72 | | | | | | | | | | | | | | | | | | | | | | | | (1112) all_63_4 = e2 | all_63_4 = e1 | all_63_4 = e0
% 170.40/25.72 | | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.72 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (493), (899), (932), (1106), (1112) are
% 170.40/25.72 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #471.
% 170.40/25.72 | | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.72 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 170.40/25.72 | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.72 | | | | | | | | | | | | | | | | | | | | | | End of split
% 170.40/25.72 | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.72 | | | | | | | | | | | | | | | | | | | | | End of split
% 170.40/25.72 | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.72 | | | | | | | | | | | | | | | | | | | | End of split
% 170.40/25.72 | | | | | | | | | | | | | | | | | | | |
% 170.40/25.72 | | | | | | | | | | | | | | | | | | | End of split
% 170.40/25.72 | | | | | | | | | | | | | | | | | | |
% 170.40/25.72 | | | | | | | | | | | | | | | | | | End of split
% 170.40/25.72 | | | | | | | | | | | | | | | | | |
% 170.40/25.72 | | | | | | | | | | | | | | | | | End of split
% 170.40/25.72 | | | | | | | | | | | | | | | | |
% 170.40/25.72 | | | | | | | | | | | | | | | | Case 2:
% 170.40/25.72 | | | | | | | | | | | | | | | | |
% 170.40/25.72 | | | | | | | | | | | | | | | | | (1113) all_36_2 = e0
% 170.40/25.72 | | | | | | | | | | | | | | | | | (1114) op(e3, e0) = all_36_1 & $i(all_36_1) & ( ~
% 170.40/25.72 | | | | | | | | | | | | | | | | | (all_36_1 = e2) | ( ~ (all_36_0 = e1) & op(e2,
% 170.40/25.72 | | | | | | | | | | | | | | | | | e3) = all_36_0 & $i(all_36_0)))
% 170.40/25.72 | | | | | | | | | | | | | | | | |
% 170.40/25.72 | | | | | | | | | | | | | | | | | ALPHA: (1114) implies:
% 170.40/25.72 | | | | | | | | | | | | | | | | | (1115) op(e3, e0) = all_36_1
% 170.40/25.72 | | | | | | | | | | | | | | | | |
% 170.40/25.72 | | | | | | | | | | | | | | | | | COMBINE_EQS: (557), (1113) imply:
% 170.40/25.72 | | | | | | | | | | | | | | | | | (1116) all_14_2 = e0
% 170.40/25.72 | | | | | | | | | | | | | | | | |
% 170.40/25.72 | | | | | | | | | | | | | | | | | SIMP: (1116) implies:
% 170.40/25.72 | | | | | | | | | | | | | | | | | (1117) all_14_2 = e0
% 170.40/25.72 | | | | | | | | | | | | | | | | |
% 170.40/25.72 | | | | | | | | | | | | | | | | | COMBINE_EQS: (549), (1117) imply:
% 170.40/25.72 | | | | | | | | | | | | | | | | | (1118) all_44_2 = e0
% 170.40/25.72 | | | | | | | | | | | | | | | | |
% 170.40/25.72 | | | | | | | | | | | | | | | | | REDUCE: (603), (1117) imply:
% 170.40/25.72 | | | | | | | | | | | | | | | | | (1119) ~ (all_61_12 = e0)
% 170.40/25.72 | | | | | | | | | | | | | | | | |
% 170.40/25.72 | | | | | | | | | | | | | | | | | REDUCE: (634), (1117) imply:
% 170.40/25.72 | | | | | | | | | | | | | | | | | (1120) op(e0, e3) = all_65_0
% 170.40/25.72 | | | | | | | | | | | | | | | | |
% 170.40/25.72 | | | | | | | | | | | | | | | | | REDUCE: (635), (1117) imply:
% 170.40/25.72 | | | | | | | | | | | | | | | | | (1121) op(e0, e2) = all_65_1
% 170.40/25.72 | | | | | | | | | | | | | | | | |
% 170.40/25.72 | | | | | | | | | | | | | | | | | REDUCE: (636), (1117) imply:
% 170.40/25.72 | | | | | | | | | | | | | | | | | (1122) op(e0, e1) = all_65_2
% 170.40/25.72 | | | | | | | | | | | | | | | | |
% 170.40/25.72 | | | | | | | | | | | | | | | | | REDUCE: (637), (1117) imply:
% 170.40/25.72 | | | | | | | | | | | | | | | | | (1123) op(e0, e0) = all_65_3
% 170.40/25.72 | | | | | | | | | | | | | | | | |
% 170.40/25.72 | | | | | | | | | | | | | | | | | REDUCE: (698), (1117) imply:
% 170.40/25.72 | | | | | | | | | | | | | | | | | (1124) op(e3, e0) = all_65_0
% 170.40/25.72 | | | | | | | | | | | | | | | | |
% 170.40/25.72 | | | | | | | | | | | | | | | | | REDUCE: (67), (1117) imply:
% 170.40/25.72 | | | | | | | | | | | | | | | | | (1125) op(e3, e3) = e0
% 170.40/25.72 | | | | | | | | | | | | | | | | |
% 170.40/25.72 | | | | | | | | | | | | | | | | | REDUCE: (715), (1117) imply:
% 170.40/25.72 | | | | | | | | | | | | | | | | | (1126) op(e2, e0) = all_65_16
% 170.40/25.72 | | | | | | | | | | | | | | | | |
% 170.40/25.72 | | | | | | | | | | | | | | | | | REDUCE: (732), (1117) imply:
% 170.40/25.72 | | | | | | | | | | | | | | | | | (1127) op(e1, e0) = all_65_32
% 170.40/25.72 | | | | | | | | | | | | | | | | |
% 170.40/25.72 | | | | | | | | | | | | | | | | | REDUCE: (749), (1117) imply:
% 170.40/25.72 | | | | | | | | | | | | | | | | | (1128) op(e0, e0) = all_65_49
% 170.40/25.72 | | | | | | | | | | | | | | | | |
% 170.40/25.72 | | | | | | | | | | | | | | | | | BETA: splitting (113) gives:
% 170.40/25.72 | | | | | | | | | | | | | | | | |
% 170.40/25.72 | | | | | | | | | | | | | | | | | Case 1:
% 170.40/25.72 | | | | | | | | | | | | | | | | | |
% 170.40/25.72 | | | | | | | | | | | | | | | | | | (1129) ~ (all_44_2 = e0)
% 170.40/25.72 | | | | | | | | | | | | | | | | | |
% 170.40/25.72 | | | | | | | | | | | | | | | | | | REDUCE: (1118), (1129) imply:
% 170.40/25.72 | | | | | | | | | | | | | | | | | | (1130) $false
% 170.40/25.72 | | | | | | | | | | | | | | | | | |
% 170.40/25.72 | | | | | | | | | | | | | | | | | | CLOSE: (1130) is inconsistent.
% 170.40/25.72 | | | | | | | | | | | | | | | | | |
% 170.40/25.72 | | | | | | | | | | | | | | | | | Case 2:
% 170.40/25.72 | | | | | | | | | | | | | | | | | |
% 170.40/25.72 | | | | | | | | | | | | | | | | | | (1131) op(e3, e0) = all_44_1 & $i(all_44_1) & ( ~
% 170.40/25.72 | | | | | | | | | | | | | | | | | | (all_44_1 = e1) | ( ~ (all_44_0 = e2) & op(e1,
% 170.40/25.72 | | | | | | | | | | | | | | | | | | e3) = all_44_0 & $i(all_44_0)))
% 170.40/25.72 | | | | | | | | | | | | | | | | | |
% 170.40/25.72 | | | | | | | | | | | | | | | | | | ALPHA: (1131) implies:
% 170.40/25.72 | | | | | | | | | | | | | | | | | | (1132) op(e3, e0) = all_44_1
% 170.40/25.72 | | | | | | | | | | | | | | | | | |
% 170.40/25.72 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_20_2, all_65_3, e0,
% 170.40/25.72 | | | | | | | | | | | | | | | | | | e0, simplifying with (76), (1123) gives:
% 170.40/25.72 | | | | | | | | | | | | | | | | | | (1133) all_65_3 = all_20_2
% 170.40/25.72 | | | | | | | | | | | | | | | | | |
% 170.40/25.72 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_49, all_65_3, e0,
% 170.40/25.72 | | | | | | | | | | | | | | | | | | e0, simplifying with (1123), (1128) gives:
% 170.40/25.72 | | | | | | | | | | | | | | | | | | (1134) all_65_3 = all_65_49
% 170.40/25.72 | | | | | | | | | | | | | | | | | |
% 170.40/25.72 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_11, all_65_2, e1,
% 170.40/25.72 | | | | | | | | | | | | | | | | | | e0, simplifying with (224), (1122) gives:
% 170.40/25.72 | | | | | | | | | | | | | | | | | | (1135) all_65_2 = all_61_11
% 170.40/25.72 | | | | | | | | | | | | | | | | | |
% 170.40/25.72 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_7, all_65_1, e2,
% 170.40/25.72 | | | | | | | | | | | | | | | | | | e0, simplifying with (225), (1121) gives:
% 170.40/25.72 | | | | | | | | | | | | | | | | | | (1136) all_65_1 = all_61_7
% 170.40/25.72 | | | | | | | | | | | | | | | | | |
% 170.40/25.72 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_3, all_65_0, e3,
% 170.40/25.72 | | | | | | | | | | | | | | | | | | e0, simplifying with (226), (1120) gives:
% 170.40/25.72 | | | | | | | | | | | | | | | | | | (1137) all_65_0 = all_61_3
% 170.40/25.72 | | | | | | | | | | | | | | | | | |
% 170.40/25.72 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_14, all_65_32, e0,
% 170.40/25.72 | | | | | | | | | | | | | | | | | | e1, simplifying with (227), (1127) gives:
% 170.40/25.72 | | | | | | | | | | | | | | | | | | (1138) all_65_32 = all_61_14
% 170.40/25.72 | | | | | | | | | | | | | | | | | |
% 170.40/25.72 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_13, all_65_16, e0,
% 170.40/25.72 | | | | | | | | | | | | | | | | | | e2, simplifying with (231), (1126) gives:
% 170.40/25.72 | | | | | | | | | | | | | | | | | | (1139) all_65_16 = all_61_13
% 170.40/25.72 | | | | | | | | | | | | | | | | | |
% 170.40/25.72 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_12, all_44_1, e0,
% 170.40/25.72 | | | | | | | | | | | | | | | | | | e3, simplifying with (235), (1132) gives:
% 170.40/25.72 | | | | | | | | | | | | | | | | | | (1140) all_61_12 = all_44_1
% 170.40/25.72 | | | | | | | | | | | | | | | | | |
% 170.40/25.72 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_12, all_65_0, e0,
% 170.40/25.72 | | | | | | | | | | | | | | | | | | e3, simplifying with (235), (1124) gives:
% 170.40/25.72 | | | | | | | | | | | | | | | | | | (1141) all_65_0 = all_61_12
% 170.40/25.72 | | | | | | | | | | | | | | | | | |
% 170.40/25.72 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_36_1, all_65_0, e0,
% 170.40/25.72 | | | | | | | | | | | | | | | | | | e3, simplifying with (1115), (1124) gives:
% 170.40/25.72 | | | | | | | | | | | | | | | | | | (1142) all_65_0 = all_36_1
% 170.40/25.72 | | | | | | | | | | | | | | | | | |
% 170.40/25.72 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1141), (1142) imply:
% 170.40/25.72 | | | | | | | | | | | | | | | | | | (1143) all_61_12 = all_36_1
% 170.40/25.72 | | | | | | | | | | | | | | | | | |
% 170.40/25.72 | | | | | | | | | | | | | | | | | | SIMP: (1143) implies:
% 170.40/25.72 | | | | | | | | | | | | | | | | | | (1144) all_61_12 = all_36_1
% 170.40/25.72 | | | | | | | | | | | | | | | | | |
% 170.40/25.72 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1137), (1142) imply:
% 170.40/25.72 | | | | | | | | | | | | | | | | | | (1145) all_61_3 = all_36_1
% 170.40/25.72 | | | | | | | | | | | | | | | | | |
% 170.40/25.72 | | | | | | | | | | | | | | | | | | SIMP: (1145) implies:
% 170.40/25.72 | | | | | | | | | | | | | | | | | | (1146) all_61_3 = all_36_1
% 170.40/25.72 | | | | | | | | | | | | | | | | | |
% 170.40/25.72 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1133), (1134) imply:
% 170.40/25.72 | | | | | | | | | | | | | | | | | | (1147) all_65_49 = all_20_2
% 170.40/25.72 | | | | | | | | | | | | | | | | | |
% 170.40/25.72 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1140), (1144) imply:
% 170.40/25.72 | | | | | | | | | | | | | | | | | | (1148) all_44_1 = all_36_1
% 170.40/25.72 | | | | | | | | | | | | | | | | | |
% 170.40/25.72 | | | | | | | | | | | | | | | | | | SIMP: (1148) implies:
% 170.40/25.72 | | | | | | | | | | | | | | | | | | (1149) all_44_1 = all_36_1
% 170.40/25.72 | | | | | | | | | | | | | | | | | |
% 170.40/25.72 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (506), (1146) imply:
% 170.40/25.72 | | | | | | | | | | | | | | | | | | (1150) all_63_12 = all_36_1
% 170.40/25.72 | | | | | | | | | | | | | | | | | |
% 170.40/25.72 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (491), (1144) imply:
% 170.40/25.72 | | | | | | | | | | | | | | | | | | (1151) all_63_3 = all_36_1
% 170.40/25.72 | | | | | | | | | | | | | | | | | |
% 170.40/25.72 | | | | | | | | | | | | | | | | | | REDUCE: (207), (1146) imply:
% 170.40/25.72 | | | | | | | | | | | | | | | | | | (1152) ~ (all_61_7 = all_36_1)
% 170.40/25.72 | | | | | | | | | | | | | | | | | |
% 170.40/25.72 | | | | | | | | | | | | | | | | | | SIMP: (1152) implies:
% 170.40/25.72 | | | | | | | | | | | | | | | | | | (1153) ~ (all_61_7 = all_36_1)
% 170.40/25.72 | | | | | | | | | | | | | | | | | |
% 170.40/25.72 | | | | | | | | | | | | | | | | | | REDUCE: (179), (1144) imply:
% 170.40/25.72 | | | | | | | | | | | | | | | | | | (1154) ~ (all_61_14 = all_36_1)
% 170.40/25.72 | | | | | | | | | | | | | | | | | |
% 170.40/25.72 | | | | | | | | | | | | | | | | | | SIMP: (1154) implies:
% 170.40/25.72 | | | | | | | | | | | | | | | | | | (1155) ~ (all_61_14 = all_36_1)
% 170.40/25.72 | | | | | | | | | | | | | | | | | |
% 170.40/25.72 | | | | | | | | | | | | | | | | | | REDUCE: (625), (1144) imply:
% 170.40/25.72 | | | | | | | | | | | | | | | | | | (1156) ~ (all_36_1 = all_20_2)
% 170.40/25.72 | | | | | | | | | | | | | | | | | |
% 170.40/25.72 | | | | | | | | | | | | | | | | | | REDUCE: (1119), (1144) imply:
% 170.40/25.72 | | | | | | | | | | | | | | | | | | (1157) ~ (all_36_1 = e0)
% 170.40/25.72 | | | | | | | | | | | | | | | | | |
% 170.40/25.72 | | | | | | | | | | | | | | | | | | REDUCE: (682), (1146), (1147) imply:
% 170.40/25.72 | | | | | | | | | | | | | | | | | | (1158) op(all_36_1, e3) = all_20_2
% 170.40/25.72 | | | | | | | | | | | | | | | | | |
% 170.40/25.72 | | | | | | | | | | | | | | | | | | REDUCE: (685), (1146) imply:
% 170.40/25.72 | | | | | | | | | | | | | | | | | | (1159) op(all_36_1, e0) = all_65_55
% 170.40/25.72 | | | | | | | | | | | | | | | | | |
% 170.40/25.72 | | | | | | | | | | | | | | | | | | REDUCE: (646), (1144) imply:
% 170.40/25.72 | | | | | | | | | | | | | | | | | | (1160) op(all_36_1, e3) = all_65_12
% 170.40/25.72 | | | | | | | | | | | | | | | | | |
% 170.40/25.72 | | | | | | | | | | | | | | | | | | REDUCE: (649), (1144) imply:
% 170.40/25.72 | | | | | | | | | | | | | | | | | | (1161) op(all_36_1, e0) = all_65_15
% 170.40/25.72 | | | | | | | | | | | | | | | | | |
% 170.40/25.73 | | | | | | | | | | | | | | | | | | REDUCE: (761), (1146) imply:
% 170.40/25.73 | | | | | | | | | | | | | | | | | | (1162) op(e0, all_36_1) = all_65_73
% 170.40/25.73 | | | | | | | | | | | | | | | | | |
% 170.40/25.73 | | | | | | | | | | | | | | | | | | REDUCE: (752), (1144) imply:
% 170.40/25.73 | | | | | | | | | | | | | | | | | | (1163) op(e0, all_36_1) = all_65_55
% 170.40/25.73 | | | | | | | | | | | | | | | | | |
% 170.40/25.73 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_73, all_65_55,
% 170.40/25.73 | | | | | | | | | | | | | | | | | | all_36_1, e0, simplifying with (1162), (1163)
% 170.40/25.73 | | | | | | | | | | | | | | | | | | gives:
% 170.40/25.73 | | | | | | | | | | | | | | | | | | (1164) all_65_55 = all_65_73
% 170.40/25.73 | | | | | | | | | | | | | | | | | |
% 170.40/25.73 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_55, all_65_15, e0,
% 170.40/25.73 | | | | | | | | | | | | | | | | | | all_36_1, simplifying with (1159), (1161) gives:
% 170.40/25.73 | | | | | | | | | | | | | | | | | | (1165) all_65_15 = all_65_55
% 170.40/25.73 | | | | | | | | | | | | | | | | | |
% 170.40/25.73 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_20_2, all_65_12, e3,
% 170.40/25.73 | | | | | | | | | | | | | | | | | | all_36_1, simplifying with (1158), (1160) gives:
% 170.40/25.73 | | | | | | | | | | | | | | | | | | (1166) all_65_12 = all_20_2
% 170.40/25.73 | | | | | | | | | | | | | | | | | |
% 170.40/25.73 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1164), (1165) imply:
% 170.40/25.73 | | | | | | | | | | | | | | | | | | (1167) all_65_15 = all_65_73
% 170.40/25.73 | | | | | | | | | | | | | | | | | |
% 170.40/25.73 | | | | | | | | | | | | | | | | | | REDUCE: (713), (1167) imply:
% 170.40/25.73 | | | | | | | | | | | | | | | | | | (1168) op(e3, all_20_2) = all_65_73
% 170.40/25.73 | | | | | | | | | | | | | | | | | |
% 170.40/25.73 | | | | | | | | | | | | | | | | | | BETA: splitting (110) gives:
% 170.40/25.73 | | | | | | | | | | | | | | | | | |
% 170.40/25.73 | | | | | | | | | | | | | | | | | | Case 1:
% 170.40/25.73 | | | | | | | | | | | | | | | | | | |
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | (1169) ~ (all_42_2 = e1)
% 170.40/25.73 | | | | | | | | | | | | | | | | | | |
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | REDUCE: (532), (1169) imply:
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | (1170) ~ (all_20_2 = e1)
% 170.40/25.73 | | | | | | | | | | | | | | | | | | |
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | BETA: splitting (256) gives:
% 170.40/25.73 | | | | | | | | | | | | | | | | | | |
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | Case 1:
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | |
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | (1171) all_63_15 = e3
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | |
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (422), (921), (1171) are inconsistent by sub-proof
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | #501.
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | |
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | Case 2:
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | |
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | (1172) all_63_15 = e2 | all_63_15 = e1 | all_63_15 = e0
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | |
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | BETA: splitting (1172) gives:
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | |
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | Case 1:
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | (1173) all_63_15 = e2
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (422), (891), (1173) are inconsistent by sub-proof
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | #500.
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | Case 2:
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | (1174) all_63_15 = e1 | all_63_15 = e0
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1174) gives:
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | | (1175) all_63_15 = e1
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (422), (1170), (1175) are inconsistent by
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | | sub-proof #499.
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | | (1176) all_63_15 = e0
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (422), (1176) imply:
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | | (1177) all_20_2 = e0
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | | SIMP: (1177) implies:
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | | (1178) all_20_2 = e0
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (627), (1178) imply:
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | | (1179) ~ (all_61_14 = e0)
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1158), (1178) imply:
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | | (1180) op(all_36_1, e3) = e0
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (695), (1178) imply:
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | | (1181) op(e0, e2) = all_65_75
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (696), (1178) imply:
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | | (1182) op(e0, e1) = all_65_77
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1168), (1178) imply:
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | | (1183) op(e3, e0) = all_65_73
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (730), (1178) imply:
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | | (1184) op(e2, e0) = all_65_31
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (747), (1178) imply:
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | | (1185) op(e1, e0) = all_65_47
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (764), (1178) imply:
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | | (1186) op(e0, e0) = all_65_78
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (76), (1178) imply:
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | | (1187) op(e0, e0) = e0
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e0, all_65_78, e0, e0,
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | | simplifying with (1186), (1187) gives:
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | | (1188) all_65_78 = e0
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_11, all_65_77, e1,
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | | e0, simplifying with (224), (1182) gives:
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | | (1189) all_65_77 = all_61_11
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_7, all_65_75, e2,
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | | e0, simplifying with (225), (1181) gives:
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | | (1190) all_65_75 = all_61_7
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_14, all_65_47, e0,
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | | e1, simplifying with (227), (1185) gives:
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | | (1191) all_65_47 = all_61_14
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_13, all_65_31, e0,
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | | e2, simplifying with (231), (1184) gives:
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | | (1192) all_65_31 = all_61_13
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_36_1, all_65_73, e0,
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | | e3, simplifying with (1115), (1183) gives:
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | | (1193) all_65_73 = all_36_1
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (158) gives:
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | | | (1194) ~ (all_58_3 = e2)
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (475), (1194) imply:
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | | | (1195) ~ (all_52_3 = e2)
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (163) gives:
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | | | | (1196) ~ (all_58_1 = e0)
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (481), (1196) imply:
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | | | | (1197) ~ (all_52_1 = e0)
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (157) gives:
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | | | | | (1198) ~ (all_58_3 = e1)
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (475), (1198) imply:
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | | | | | (1199) ~ (all_52_3 = e1)
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (160) gives:
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | | | | | | (1200) ~ (all_58_2 = e0)
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (478), (1200) imply:
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | | | | | | (1201) ~ (all_52_2 = e0)
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (162) gives:
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1202) ~ (all_58_2 = e3)
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (478), (1202) imply:
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1203) ~ (all_52_2 = e3)
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (167) gives:
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1204) ~ (all_58_0 = e1)
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (484), (1204) imply:
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1205) ~ (all_52_0 = e1)
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (161) gives:
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1206) ~ (all_58_2 = e2)
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (478), (1206) imply:
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1207) ~ (all_52_2 = e2)
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (50), (149), (162), (227), (478), (484),
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (538), (748), (876), (1179), (1201), (1205),
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1207) are inconsistent by sub-proof #469.
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1208) all_58_2 = e2
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1209) all_58_1 = e1
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (481), (1209) imply:
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1210) all_52_1 = e1
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1210) implies:
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1211) all_52_1 = e1
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (478), (1208) imply:
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1212) all_52_2 = e2
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (629), (1212) imply:
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1213) ~ (all_52_0 = e2)
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (10), (50), (151), (159), (166), (231),
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (475), (484), (534), (630), (714), (903), (1115),
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1125), (1180), (1205), (1213) are inconsistent by
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #465.
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1214) all_58_2 = e3
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (478), (1203), (1214) are inconsistent by
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #507.
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1215) all_58_2 = e3
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (478), (1215) imply:
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1216) all_52_2 = e3
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (633), (1216) imply:
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1217) ~ (all_52_3 = e3)
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1217) implies:
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1218) ~ (all_52_3 = e3)
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (50), (148), (157), (158), (224), (227),
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | (475), (478), (481), (539), (680), (748), (765),
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | (868), (886), (1187), (1197), (1218) are
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #461.
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | | | | | | (1219) all_58_3 = e1
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (475), (1199), (1219) are inconsistent by
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #460.
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | | | | | (1220) all_58_3 = e1
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | | | | | (1221) all_58_2 = e0
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (50), (224), (227), (475), (478), (680),
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | | | | | (748), (765), (868), (886), (1220), (1221) are
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #463.
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | | | | (1222) all_58_3 = e2
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (475), (1195), (1222) are inconsistent by
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #459.
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | | | (1223) all_58_3 = e2
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | | | (1224) all_58_1 = e0
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (50), (225), (231), (475), (481), (663),
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | | | (731), (765), (903), (919), (1223), (1224) are
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #456.
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | | End of split
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | | End of split
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | | End of split
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | |
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | End of split
% 170.40/25.73 | | | | | | | | | | | | | | | | | | |
% 170.40/25.73 | | | | | | | | | | | | | | | | | | Case 2:
% 170.40/25.73 | | | | | | | | | | | | | | | | | | |
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | (1225) all_42_2 = e1
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | (1226) op(e0, e1) = all_42_1 & $i(all_42_1) & ( ~
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | (all_42_1 = e3) | ( ~ (all_42_0 = e2) & op(e3,
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | e0) = all_42_0 & $i(all_42_0)))
% 170.40/25.73 | | | | | | | | | | | | | | | | | | |
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | ALPHA: (1226) implies:
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | (1227) op(e0, e1) = all_42_1
% 170.40/25.73 | | | | | | | | | | | | | | | | | | |
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (532), (1225) imply:
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | (1228) all_20_2 = e1
% 170.40/25.73 | | | | | | | | | | | | | | | | | | |
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | SIMP: (1228) implies:
% 170.40/25.73 | | | | | | | | | | | | | | | | | | | (1229) all_20_2 = e1
% 170.40/25.74 | | | | | | | | | | | | | | | | | | |
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | REDUCE: (617), (1229) imply:
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | (1230) ~ (all_61_7 = e1)
% 170.40/25.74 | | | | | | | | | | | | | | | | | | |
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | REDUCE: (1156), (1229) imply:
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | (1231) ~ (all_36_1 = e1)
% 170.40/25.74 | | | | | | | | | | | | | | | | | | |
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | REDUCE: (695), (1229) imply:
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | (1232) op(e1, e2) = all_65_75
% 170.40/25.74 | | | | | | | | | | | | | | | | | | |
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | REDUCE: (696), (1229) imply:
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | (1233) op(e1, e1) = all_65_77
% 170.40/25.74 | | | | | | | | | | | | | | | | | | |
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | REDUCE: (697), (1229) imply:
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | (1234) op(e1, e0) = all_65_78
% 170.40/25.74 | | | | | | | | | | | | | | | | | | |
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | REDUCE: (730), (1229) imply:
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | (1235) op(e2, e1) = all_65_31
% 170.40/25.74 | | | | | | | | | | | | | | | | | | |
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | REDUCE: (747), (1229) imply:
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | (1236) op(e1, e1) = all_65_47
% 170.40/25.74 | | | | | | | | | | | | | | | | | | |
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | REDUCE: (764), (1229) imply:
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | (1237) op(e0, e1) = all_65_78
% 170.40/25.74 | | | | | | | | | | | | | | | | | | |
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | REDUCE: (76), (1229) imply:
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | (1238) op(e0, e0) = e1
% 170.40/25.74 | | | | | | | | | | | | | | | | | | |
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_11, all_65_78, e1,
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | e0, simplifying with (224), (1237) gives:
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | (1239) all_65_78 = all_61_11
% 170.40/25.74 | | | | | | | | | | | | | | | | | | |
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_42_1, all_65_78, e1,
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | e0, simplifying with (1227), (1237) gives:
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | (1240) all_65_78 = all_42_1
% 170.40/25.74 | | | | | | | | | | | | | | | | | | |
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_14, all_65_78, e0,
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | e1, simplifying with (227), (1234) gives:
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | (1241) all_65_78 = all_61_14
% 170.40/25.74 | | | | | | | | | | | | | | | | | | |
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e1, all_65_47, e1, e1,
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | simplifying with (876), (1236) gives:
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | (1242) all_65_47 = e1
% 170.40/25.74 | | | | | | | | | | | | | | | | | | |
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_77, all_65_47, e1,
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | e1, simplifying with (1233), (1236) gives:
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | (1243) all_65_47 = all_65_77
% 170.40/25.74 | | | | | | | | | | | | | | | | | | |
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_6, all_65_75, e2,
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | e1, simplifying with (229), (1232) gives:
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | (1244) all_65_75 = all_61_6
% 170.40/25.74 | | | | | | | | | | | | | | | | | | |
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_9, all_65_31, e1,
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | e2, simplifying with (232), (1235) gives:
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | (1245) all_65_31 = all_61_9
% 170.40/25.74 | | | | | | | | | | | | | | | | | | |
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1242), (1243) imply:
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | (1246) all_65_77 = e1
% 170.40/25.74 | | | | | | | | | | | | | | | | | | |
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | SIMP: (1246) implies:
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | (1247) all_65_77 = e1
% 170.40/25.74 | | | | | | | | | | | | | | | | | | |
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1239), (1241) imply:
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | (1248) all_61_11 = all_61_14
% 170.40/25.74 | | | | | | | | | | | | | | | | | | |
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1239), (1240) imply:
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | (1249) all_61_11 = all_42_1
% 170.40/25.74 | | | | | | | | | | | | | | | | | | |
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1248), (1249) imply:
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | (1250) all_61_14 = all_42_1
% 170.40/25.74 | | | | | | | | | | | | | | | | | | |
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | SIMP: (1250) implies:
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | (1251) all_61_14 = all_42_1
% 170.40/25.74 | | | | | | | | | | | | | | | | | | |
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (505), (1251) imply:
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | (1252) all_63_11 = all_42_1
% 170.40/25.74 | | | | | | | | | | | | | | | | | | |
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | REDUCE: (192), (1249) imply:
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | (1253) ~ (all_61_7 = all_42_1)
% 170.40/25.74 | | | | | | | | | | | | | | | | | | |
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | REDUCE: (185), (1249) imply:
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | (1254) ~ (all_61_9 = all_42_1)
% 170.40/25.74 | | | | | | | | | | | | | | | | | | |
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | REDUCE: (1155), (1251) imply:
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | (1255) ~ (all_42_1 = all_36_1)
% 170.40/25.74 | | | | | | | | | | | | | | | | | | |
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | REDUCE: (868), (1251) imply:
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | (1256) ~ (all_42_1 = e1)
% 170.40/25.74 | | | | | | | | | | | | | | | | | | |
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | REDUCE: (693), (1249) imply:
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | (1257) op(all_42_1, e0) = all_65_71
% 170.40/25.74 | | | | | | | | | | | | | | | | | | |
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | REDUCE: (681), (1242), (1251) imply:
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | (1258) op(all_42_1, e0) = e1
% 170.40/25.74 | | | | | | | | | | | | | | | | | | |
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | REDUCE: (227), (1251) imply:
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | (1259) op(e1, e0) = all_42_1
% 170.40/25.74 | | | | | | | | | | | | | | | | | | |
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e1, all_65_71, e0,
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | all_42_1, simplifying with (1257), (1258) gives:
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | (1260) all_65_71 = e1
% 170.40/25.74 | | | | | | | | | | | | | | | | | | |
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | BETA: splitting (157) gives:
% 170.40/25.74 | | | | | | | | | | | | | | | | | | |
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | Case 1:
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | |
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | (1261) ~ (all_58_3 = e1)
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | |
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | REDUCE: (475), (1261) imply:
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | (1262) ~ (all_52_3 = e1)
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | |
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | BETA: splitting (160) gives:
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | |
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | Case 1:
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | (1263) ~ (all_58_2 = e0)
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | REDUCE: (478), (1263) imply:
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | (1264) ~ (all_52_2 = e0)
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (161) gives:
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | | (1265) ~ (all_58_2 = e2)
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (478), (1265) imply:
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | | (1266) ~ (all_52_2 = e2)
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (158) gives:
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | | | (1267) ~ (all_58_3 = e2)
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (475), (1267) imply:
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | | | (1268) ~ (all_52_3 = e2)
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (163) gives:
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | | | | (1269) ~ (all_58_1 = e0)
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (481), (1269) imply:
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | | | | (1270) ~ (all_52_1 = e0)
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (162) gives:
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | | | | | (1271) ~ (all_58_2 = e3)
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (50), (149), (232), (478), (538), (748),
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | | | | | (876), (902), (1264), (1266), (1271) are
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #479.
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | | | | | (1272) all_58_2 = e3
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | | | | | (1273) all_58_0 = e1
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (484), (1273) imply:
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | | | | | (1274) all_52_0 = e1
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1274) implies:
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | | | | | (1275) all_52_0 = e1
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (478), (1272) imply:
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | | | | | (1276) all_52_2 = e3
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (50), (148), (150), (536), (539), (628), (630),
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | | | | | (631), (632), (633), (731), (765), (909), (1238),
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | | | | | (1270), (1275), (1276) are inconsistent by
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #452.
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | | | | (1277) all_58_3 = e2
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (475), (1268), (1277) are inconsistent by
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #459.
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | | | (1278) all_58_3 = e2
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | | | (1279) all_58_1 = e0
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (50), (225), (231), (475), (481), (663),
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | | | (731), (765), (903), (919), (1278), (1279) are
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #456.
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | | End of split
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | | (1280) all_58_2 = e2
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | | (1281) all_58_1 = e1
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (481), (1281) imply:
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | | (1282) all_52_1 = e1
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | | SIMP: (1282) implies:
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | | (1283) all_52_1 = e1
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (478), (1280) imply:
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | | (1284) all_52_2 = e2
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (731), (1283) imply:
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | | (1285) op(e2, e1) = unit
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (748), (1284) imply:
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | | (1286) op(e1, e2) = unit
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_6, unit, e2, e1,
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | | simplifying with (229), (1286) gives:
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | | (1287) all_61_6 = unit
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_9, unit, e1, e2,
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | | simplifying with (232), (1285) gives:
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | | (1288) all_61_9 = unit
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (497), (1288) imply:
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | | (1289) all_63_6 = unit
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (195), (1287) imply:
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | | (1290) ~ (all_61_7 = unit)
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | | SIMP: (1290) implies:
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | | (1291) ~ (all_61_7 = unit)
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1254), (1288) imply:
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | | (1292) ~ (all_42_1 = unit)
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | | SIMP: (1292) implies:
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | | (1293) ~ (all_42_1 = unit)
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (902), (1288) imply:
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | | (1294) ~ (unit = e2)
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (866), (1288) imply:
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | | (1295) ~ (unit = e1)
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (265) gives:
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | | | (1296) all_63_6 = e3
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1289), (1296) imply:
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | | | (1297) unit = e3
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (851), (1297) imply:
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | | | (1298) $false
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1298) is inconsistent.
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | | | (1299) all_63_6 = e2 | all_63_6 = e1 | all_63_6 = e0
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1299) gives:
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | | | | (1300) all_63_6 = e2
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1289), (1300) imply:
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | | | | (1301) unit = e2
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1294), (1301) imply:
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | | | | (1302) $false
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1302) is inconsistent.
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | | | | (1303) all_63_6 = e1 | all_63_6 = e0
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1303) gives:
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | | | | | (1304) all_63_6 = e1
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1289), (1304) imply:
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | | | | | (1305) unit = e1
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1295), (1305) imply:
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | | | | | (1306) $false
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1306) is inconsistent.
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | | | | | (1307) all_63_6 = e0
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1289), (1307) imply:
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | | | | | (1308) unit = e0
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1291), (1308) imply:
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | | | | | (1309) ~ (all_61_7 = e0)
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1293), (1308) imply:
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | | | | | (1310) ~ (all_42_1 = e0)
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (258) gives:
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | | | | | | (1311) all_63_13 = e3
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (508), (1311) imply:
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | | | | | | (1312) all_61_7 = e3
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1253), (1312) imply:
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | | | | | | (1313) ~ (all_42_1 = e3)
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1313) implies:
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | | | | | | (1314) ~ (all_42_1 = e3)
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1153), (1312) imply:
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | | | | | | (1315) ~ (all_36_1 = e3)
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1315) implies:
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | | | | | | (1316) ~ (all_36_1 = e3)
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (259) gives:
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1317) all_63_12 = e3
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1150), (1317) imply:
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1318) all_36_1 = e3
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1316), (1318) imply:
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1319) $false
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1319) is inconsistent.
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1320) ~ (all_63_12 = e3)
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1321) all_63_12 = e2 | all_63_12 = e1 | all_63_12 = e0
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1321) gives:
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1322) all_63_12 = e2
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1150), (1322) imply:
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1323) all_36_1 = e2
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1255), (1323) imply:
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1324) ~ (all_42_1 = e2)
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (260), (1252), (1256), (1310), (1314), (1324) are
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #449.
% 170.40/25.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 170.40/25.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1325) ~ (all_63_12 = e2)
% 170.40/25.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1150), (1325) imply:
% 170.40/25.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1326) ~ (all_36_1 = e2)
% 170.40/25.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (268), (1151), (1157), (1231), (1316), (1326) are
% 170.40/25.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #446.
% 170.40/25.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 170.40/25.75 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.75 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 170.40/25.75 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.75 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 170.40/25.75 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.75 | | | | | | | | | | | | | | | | | | | | | | | | | | (1327) all_63_13 = e2 | all_63_13 = e1 | all_63_13 = e0
% 170.40/25.75 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.75 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (508), (901), (1230), (1309), (1327) are
% 170.40/25.75 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #444.
% 170.40/25.75 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.75 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 170.40/25.75 | | | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.75 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 170.40/25.75 | | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.75 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 170.40/25.75 | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.75 | | | | | | | | | | | | | | | | | | | | | | End of split
% 170.40/25.75 | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.75 | | | | | | | | | | | | | | | | | | | | | End of split
% 170.40/25.75 | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.75 | | | | | | | | | | | | | | | | | | | | Case 2:
% 170.40/25.75 | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.75 | | | | | | | | | | | | | | | | | | | | | (1328) all_58_3 = e1
% 170.40/25.75 | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.75 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (475), (1262), (1328) are inconsistent by
% 170.40/25.75 | | | | | | | | | | | | | | | | | | | | | sub-proof #460.
% 170.40/25.75 | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.75 | | | | | | | | | | | | | | | | | | | | End of split
% 170.40/25.75 | | | | | | | | | | | | | | | | | | | |
% 170.40/25.75 | | | | | | | | | | | | | | | | | | | Case 2:
% 170.40/25.75 | | | | | | | | | | | | | | | | | | | |
% 170.40/25.75 | | | | | | | | | | | | | | | | | | | | (1329) all_58_3 = e1
% 170.40/25.75 | | | | | | | | | | | | | | | | | | | | (1330) all_58_2 = e0
% 170.40/25.75 | | | | | | | | | | | | | | | | | | | |
% 170.40/25.75 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (50), (475), (478), (633), (748), (1258),
% 170.40/25.75 | | | | | | | | | | | | | | | | | | | | (1259), (1329), (1330) are inconsistent by
% 170.40/25.75 | | | | | | | | | | | | | | | | | | | | sub-proof #443.
% 170.40/25.75 | | | | | | | | | | | | | | | | | | | |
% 170.40/25.75 | | | | | | | | | | | | | | | | | | | End of split
% 170.40/25.75 | | | | | | | | | | | | | | | | | | |
% 170.40/25.75 | | | | | | | | | | | | | | | | | | End of split
% 170.40/25.75 | | | | | | | | | | | | | | | | | |
% 170.40/25.75 | | | | | | | | | | | | | | | | | End of split
% 170.40/25.75 | | | | | | | | | | | | | | | | |
% 170.40/25.75 | | | | | | | | | | | | | | | | End of split
% 170.40/25.75 | | | | | | | | | | | | | | | |
% 170.40/25.75 | | | | | | | | | | | | | | | Case 2:
% 170.40/25.75 | | | | | | | | | | | | | | | |
% 170.40/25.75 | | | | | | | | | | | | | | | | (1331) all_28_2 = e3
% 170.40/25.75 | | | | | | | | | | | | | | | | (1332) op(e0, e3) = all_28_1 & $i(all_28_1) & ( ~
% 170.40/25.75 | | | | | | | | | | | | | | | | (all_28_1 = e2) | ( ~ (all_28_0 = e1) & op(e2,
% 170.40/25.75 | | | | | | | | | | | | | | | | e0) = all_28_0 & $i(all_28_0)))
% 170.40/25.75 | | | | | | | | | | | | | | | |
% 170.40/25.75 | | | | | | | | | | | | | | | | ALPHA: (1332) implies:
% 170.40/25.75 | | | | | | | | | | | | | | | | (1333) op(e0, e3) = all_28_1
% 170.40/25.75 | | | | | | | | | | | | | | | |
% 170.40/25.75 | | | | | | | | | | | | | | | | COMBINE_EQS: (563), (1331) imply:
% 170.40/25.75 | | | | | | | | | | | | | | | | (1334) all_20_2 = e3
% 170.40/25.75 | | | | | | | | | | | | | | | |
% 170.40/25.75 | | | | | | | | | | | | | | | | REDUCE: (617), (1334) imply:
% 170.40/25.75 | | | | | | | | | | | | | | | | (1335) ~ (all_61_7 = e3)
% 170.40/25.75 | | | | | | | | | | | | | | | |
% 170.40/25.75 | | | | | | | | | | | | | | | | REDUCE: (624), (1334) imply:
% 170.40/25.75 | | | | | | | | | | | | | | | | (1336) ~ (all_61_11 = e3)
% 170.40/25.75 | | | | | | | | | | | | | | | |
% 170.40/25.75 | | | | | | | | | | | | | | | | REDUCE: (625), (1334) imply:
% 170.40/25.75 | | | | | | | | | | | | | | | | (1337) ~ (all_61_12 = e3)
% 170.40/25.75 | | | | | | | | | | | | | | | |
% 170.40/25.75 | | | | | | | | | | | | | | | | REDUCE: (694), (1334) imply:
% 170.40/25.75 | | | | | | | | | | | | | | | | (1338) op(e3, e3) = all_65_73
% 170.40/25.75 | | | | | | | | | | | | | | | |
% 170.40/25.75 | | | | | | | | | | | | | | | | REDUCE: (695), (1334) imply:
% 170.40/25.75 | | | | | | | | | | | | | | | | (1339) op(e3, e2) = all_65_75
% 170.40/25.75 | | | | | | | | | | | | | | | |
% 170.40/25.75 | | | | | | | | | | | | | | | | REDUCE: (696), (1334) imply:
% 170.40/25.75 | | | | | | | | | | | | | | | | (1340) op(e3, e1) = all_65_77
% 170.40/25.75 | | | | | | | | | | | | | | | |
% 170.40/25.75 | | | | | | | | | | | | | | | | REDUCE: (697), (1334) imply:
% 170.40/25.75 | | | | | | | | | | | | | | | | (1341) op(e3, e0) = all_65_78
% 170.40/25.75 | | | | | | | | | | | | | | | |
% 170.40/25.75 | | | | | | | | | | | | | | | | REDUCE: (713), (1334) imply:
% 170.40/25.75 | | | | | | | | | | | | | | | | (1342) op(e3, e3) = all_65_15
% 170.40/25.75 | | | | | | | | | | | | | | | |
% 170.40/25.75 | | | | | | | | | | | | | | | | REDUCE: (730), (1334) imply:
% 170.40/25.75 | | | | | | | | | | | | | | | | (1343) op(e2, e3) = all_65_31
% 170.40/25.75 | | | | | | | | | | | | | | | |
% 170.40/25.75 | | | | | | | | | | | | | | | | REDUCE: (747), (1334) imply:
% 170.40/25.75 | | | | | | | | | | | | | | | | (1344) op(e1, e3) = all_65_47
% 170.40/25.75 | | | | | | | | | | | | | | | |
% 170.40/25.75 | | | | | | | | | | | | | | | | REDUCE: (764), (1334) imply:
% 170.40/25.75 | | | | | | | | | | | | | | | | (1345) op(e0, e3) = all_65_78
% 170.40/25.75 | | | | | | | | | | | | | | | |
% 170.40/25.75 | | | | | | | | | | | | | | | | REDUCE: (76), (1334) imply:
% 170.40/25.75 | | | | | | | | | | | | | | | | (1346) op(e0, e0) = e3
% 170.40/25.75 | | | | | | | | | | | | | | | |
% 170.40/25.75 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_3, all_65_78, e3,
% 170.40/25.75 | | | | | | | | | | | | | | | | e0, simplifying with (226), (1345) gives:
% 170.40/25.75 | | | | | | | | | | | | | | | | (1347) all_65_78 = all_61_3
% 170.40/25.75 | | | | | | | | | | | | | | | |
% 170.40/25.75 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_28_1, all_65_78, e3,
% 170.40/25.75 | | | | | | | | | | | | | | | | e0, simplifying with (1333), (1345) gives:
% 170.40/25.75 | | | | | | | | | | | | | | | | (1348) all_65_78 = all_28_1
% 170.40/25.75 | | | | | | | | | | | | | | | |
% 170.40/25.75 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_2, all_65_47, e3,
% 170.40/25.75 | | | | | | | | | | | | | | | | e1, simplifying with (230), (1344) gives:
% 170.40/25.75 | | | | | | | | | | | | | | | | (1349) all_65_47 = all_61_2
% 170.40/25.75 | | | | | | | | | | | | | | | |
% 170.40/25.75 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_1, all_65_31, e3,
% 170.40/25.75 | | | | | | | | | | | | | | | | e2, simplifying with (234), (1343) gives:
% 170.40/25.75 | | | | | | | | | | | | | | | | (1350) all_65_31 = all_61_1
% 170.40/25.75 | | | | | | | | | | | | | | | |
% 170.40/25.75 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_12, all_65_78, e0,
% 170.40/25.75 | | | | | | | | | | | | | | | | e3, simplifying with (235), (1341) gives:
% 170.40/25.75 | | | | | | | | | | | | | | | | (1351) all_65_78 = all_61_12
% 170.40/25.75 | | | | | | | | | | | | | | | |
% 170.40/25.75 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_8, all_65_77, e1,
% 170.40/25.75 | | | | | | | | | | | | | | | | e3, simplifying with (236), (1340) gives:
% 170.40/25.75 | | | | | | | | | | | | | | | | (1352) all_65_77 = all_61_8
% 170.40/25.75 | | | | | | | | | | | | | | | |
% 170.40/25.75 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_4, all_65_75, e2,
% 170.40/25.75 | | | | | | | | | | | | | | | | e3, simplifying with (237), (1339) gives:
% 170.40/25.75 | | | | | | | | | | | | | | | | (1353) all_65_75 = all_61_4
% 170.40/25.75 | | | | | | | | | | | | | | | |
% 170.40/25.75 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_14_2, all_65_15, e3,
% 170.40/25.75 | | | | | | | | | | | | | | | | e3, simplifying with (67), (1342) gives:
% 170.40/25.75 | | | | | | | | | | | | | | | | (1354) all_65_15 = all_14_2
% 170.40/25.75 | | | | | | | | | | | | | | | |
% 170.40/25.75 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_73, all_65_15, e3,
% 170.40/25.75 | | | | | | | | | | | | | | | | e3, simplifying with (1338), (1342) gives:
% 170.40/25.75 | | | | | | | | | | | | | | | | (1355) all_65_15 = all_65_73
% 170.40/25.75 | | | | | | | | | | | | | | | |
% 170.40/25.75 | | | | | | | | | | | | | | | | COMBINE_EQS: (1354), (1355) imply:
% 170.40/25.75 | | | | | | | | | | | | | | | | (1356) all_65_73 = all_14_2
% 170.40/25.75 | | | | | | | | | | | | | | | |
% 170.40/25.75 | | | | | | | | | | | | | | | | COMBINE_EQS: (1348), (1351) imply:
% 170.40/25.75 | | | | | | | | | | | | | | | | (1357) all_61_12 = all_28_1
% 170.40/25.75 | | | | | | | | | | | | | | | |
% 170.40/25.75 | | | | | | | | | | | | | | | | SIMP: (1357) implies:
% 170.40/25.75 | | | | | | | | | | | | | | | | (1358) all_61_12 = all_28_1
% 170.40/25.75 | | | | | | | | | | | | | | | |
% 170.40/25.75 | | | | | | | | | | | | | | | | COMBINE_EQS: (1347), (1348) imply:
% 170.40/25.75 | | | | | | | | | | | | | | | | (1359) all_61_3 = all_28_1
% 170.40/25.75 | | | | | | | | | | | | | | | |
% 170.40/25.75 | | | | | | | | | | | | | | | | SIMP: (1359) implies:
% 170.40/25.75 | | | | | | | | | | | | | | | | (1360) all_61_3 = all_28_1
% 170.40/25.75 | | | | | | | | | | | | | | | |
% 170.40/25.75 | | | | | | | | | | | | | | | | COMBINE_EQS: (491), (1358) imply:
% 170.40/25.75 | | | | | | | | | | | | | | | | (1361) all_63_3 = all_28_1
% 170.40/25.75 | | | | | | | | | | | | | | | |
% 170.40/25.75 | | | | | | | | | | | | | | | | REDUCE: (207), (1360) imply:
% 170.40/25.75 | | | | | | | | | | | | | | | | (1362) ~ (all_61_7 = all_28_1)
% 170.40/25.75 | | | | | | | | | | | | | | | |
% 170.40/25.75 | | | | | | | | | | | | | | | | SIMP: (1362) implies:
% 170.40/25.75 | | | | | | | | | | | | | | | | (1363) ~ (all_61_7 = all_28_1)
% 170.40/25.75 | | | | | | | | | | | | | | | |
% 170.40/25.75 | | | | | | | | | | | | | | | | REDUCE: (206), (1360) imply:
% 170.40/25.75 | | | | | | | | | | | | | | | | (1364) ~ (all_61_11 = all_28_1)
% 170.40/25.75 | | | | | | | | | | | | | | | |
% 170.40/25.75 | | | | | | | | | | | | | | | | SIMP: (1364) implies:
% 170.40/25.75 | | | | | | | | | | | | | | | | (1365) ~ (all_61_11 = all_28_1)
% 170.40/25.75 | | | | | | | | | | | | | | | |
% 170.40/25.75 | | | | | | | | | | | | | | | | REDUCE: (603), (1358) imply:
% 170.40/25.75 | | | | | | | | | | | | | | | | (1366) ~ (all_28_1 = all_14_2)
% 170.40/25.75 | | | | | | | | | | | | | | | |
% 170.40/25.75 | | | | | | | | | | | | | | | | REDUCE: (1337), (1358) imply:
% 170.40/25.75 | | | | | | | | | | | | | | | | (1367) ~ (all_28_1 = e3)
% 170.40/25.75 | | | | | | | | | | | | | | | |
% 170.40/25.75 | | | | | | | | | | | | | | | | REDUCE: (682), (1360) imply:
% 170.40/25.75 | | | | | | | | | | | | | | | | (1368) op(all_28_1, e3) = all_65_49
% 170.40/25.75 | | | | | | | | | | | | | | | |
% 170.40/25.75 | | | | | | | | | | | | | | | | REDUCE: (646), (1358) imply:
% 170.40/25.75 | | | | | | | | | | | | | | | | (1369) op(all_28_1, e3) = all_65_12
% 170.40/25.75 | | | | | | | | | | | | | | | |
% 170.40/25.75 | | | | | | | | | | | | | | | | REDUCE: (681), (1349) imply:
% 170.40/25.75 | | | | | | | | | | | | | | | | (1370) op(all_61_14, e0) = all_61_2
% 170.40/25.75 | | | | | | | | | | | | | | | |
% 170.40/25.75 | | | | | | | | | | | | | | | | REDUCE: (710), (1360) imply:
% 170.40/25.75 | | | | | | | | | | | | | | | | (1371) op(e3, all_28_1) = all_65_12
% 170.40/25.75 | | | | | | | | | | | | | | | |
% 170.40/25.75 | | | | | | | | | | | | | | | | REDUCE: (701), (1358) imply:
% 170.40/25.75 | | | | | | | | | | | | | | | | (1372) op(e3, all_28_1) = all_65_3
% 170.40/25.75 | | | | | | | | | | | | | | | |
% 170.40/25.75 | | | | | | | | | | | | | | | | REDUCE: (763), (1352) imply:
% 170.40/25.75 | | | | | | | | | | | | | | | | (1373) op(e0, all_61_11) = all_61_8
% 170.40/25.75 | | | | | | | | | | | | | | | |
% 170.40/25.75 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_12, all_65_3,
% 170.40/25.75 | | | | | | | | | | | | | | | | all_28_1, e3, simplifying with (1371), (1372)
% 170.40/25.75 | | | | | | | | | | | | | | | | gives:
% 170.40/25.75 | | | | | | | | | | | | | | | | (1374) all_65_3 = all_65_12
% 170.40/25.75 | | | | | | | | | | | | | | | |
% 170.40/25.75 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_49, all_65_12, e3,
% 170.40/25.75 | | | | | | | | | | | | | | | | all_28_1, simplifying with (1368), (1369) gives:
% 170.40/25.75 | | | | | | | | | | | | | | | | (1375) all_65_12 = all_65_49
% 170.40/25.75 | | | | | | | | | | | | | | | |
% 170.40/25.75 | | | | | | | | | | | | | | | | COMBINE_EQS: (1374), (1375) imply:
% 170.40/25.75 | | | | | | | | | | | | | | | | (1376) all_65_3 = all_65_49
% 170.40/25.75 | | | | | | | | | | | | | | | |
% 170.40/25.75 | | | | | | | | | | | | | | | | REDUCE: (637), (1376) imply:
% 170.40/25.75 | | | | | | | | | | | | | | | | (1377) op(all_14_2, e0) = all_65_49
% 170.40/25.75 | | | | | | | | | | | | | | | |
% 170.40/25.75 | | | | | | | | | | | | | | | | BETA: splitting (101) gives:
% 170.40/25.75 | | | | | | | | | | | | | | | |
% 170.40/25.75 | | | | | | | | | | | | | | | | Case 1:
% 170.40/25.75 | | | | | | | | | | | | | | | | |
% 170.40/25.75 | | | | | | | | | | | | | | | | | (1378) ~ (all_36_2 = e0)
% 170.40/25.75 | | | | | | | | | | | | | | | | |
% 170.40/25.75 | | | | | | | | | | | | | | | | | REDUCE: (557), (1378) imply:
% 170.40/25.75 | | | | | | | | | | | | | | | | | (1379) ~ (all_14_2 = e0)
% 170.40/25.75 | | | | | | | | | | | | | | | | |
% 170.40/25.75 | | | | | | | | | | | | | | | | | BETA: splitting (107) gives:
% 170.40/25.75 | | | | | | | | | | | | | | | | |
% 170.40/25.75 | | | | | | | | | | | | | | | | | Case 1:
% 170.40/25.75 | | | | | | | | | | | | | | | | | |
% 170.40/25.75 | | | | | | | | | | | | | | | | | | (1380) ~ (all_40_2 = e1)
% 170.40/25.75 | | | | | | | | | | | | | | | | | |
% 170.40/25.76 | | | | | | | | | | | | | | | | | | REDUCE: (553), (1380) imply:
% 170.40/25.76 | | | | | | | | | | | | | | | | | | (1381) ~ (all_14_2 = e1)
% 170.40/25.76 | | | | | | | | | | | | | | | | | |
% 170.40/25.76 | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (50), (67), (151), (159), (162), (165),
% 170.40/25.76 | | | | | | | | | | | | | | | | | | (166), (167), (168), (226), (230), (234), (235),
% 170.40/25.76 | | | | | | | | | | | | | | | | | | (236), (237), (271), (475), (478), (481), (484),
% 170.40/25.76 | | | | | | | | | | | | | | | | | | (534), (588), (599), (601), (603), (635), (636),
% 170.40/25.76 | | | | | | | | | | | | | | | | | | (637), (638), (642), (646), (650), (666), (682),
% 170.40/25.76 | | | | | | | | | | | | | | | | | | (698), (714), (715), (731), (732), (748), (749),
% 170.40/25.76 | | | | | | | | | | | | | | | | | | (765), (851), (890), (1379), (1381) are
% 170.40/25.76 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #502.
% 170.40/25.76 | | | | | | | | | | | | | | | | | |
% 170.40/25.76 | | | | | | | | | | | | | | | | | Case 2:
% 170.40/25.76 | | | | | | | | | | | | | | | | | |
% 170.40/25.76 | | | | | | | | | | | | | | | | | | (1382) all_40_2 = e1
% 170.40/25.76 | | | | | | | | | | | | | | | | | | (1383) op(e3, e1) = all_40_1 & $i(all_40_1) & ( ~
% 170.40/25.76 | | | | | | | | | | | | | | | | | | (all_40_1 = e0) | ( ~ (all_40_0 = e2) & op(e0,
% 170.40/25.76 | | | | | | | | | | | | | | | | | | e3) = all_40_0 & $i(all_40_0)))
% 170.40/25.76 | | | | | | | | | | | | | | | | | |
% 170.40/25.76 | | | | | | | | | | | | | | | | | | ALPHA: (1383) implies:
% 170.40/25.76 | | | | | | | | | | | | | | | | | | (1384) op(e3, e1) = all_40_1
% 170.40/25.76 | | | | | | | | | | | | | | | | | |
% 170.40/25.76 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (553), (1382) imply:
% 170.40/25.76 | | | | | | | | | | | | | | | | | | (1385) all_14_2 = e1
% 170.40/25.76 | | | | | | | | | | | | | | | | | |
% 170.40/25.76 | | | | | | | | | | | | | | | | | | SIMP: (1385) implies:
% 170.40/25.76 | | | | | | | | | | | | | | | | | | (1386) all_14_2 = e1
% 170.40/25.76 | | | | | | | | | | | | | | | | | |
% 170.40/25.76 | | | | | | | | | | | | | | | | | | REDUCE: (593), (1386) imply:
% 170.40/25.76 | | | | | | | | | | | | | | | | | | (1387) ~ (all_61_1 = e1)
% 170.40/25.76 | | | | | | | | | | | | | | | | | |
% 170.40/25.76 | | | | | | | | | | | | | | | | | | REDUCE: (634), (1386) imply:
% 170.40/25.76 | | | | | | | | | | | | | | | | | | (1388) op(e1, e3) = all_65_0
% 170.40/25.76 | | | | | | | | | | | | | | | | | |
% 170.40/25.76 | | | | | | | | | | | | | | | | | | REDUCE: (1377), (1386) imply:
% 170.40/25.76 | | | | | | | | | | | | | | | | | | (1389) op(e1, e0) = all_65_49
% 170.40/25.76 | | | | | | | | | | | | | | | | | |
% 170.40/25.76 | | | | | | | | | | | | | | | | | | REDUCE: (698), (1386) imply:
% 170.40/25.76 | | | | | | | | | | | | | | | | | | (1390) op(e3, e1) = all_65_0
% 170.40/25.76 | | | | | | | | | | | | | | | | | |
% 170.40/25.76 | | | | | | | | | | | | | | | | | | REDUCE: (715), (1386) imply:
% 170.40/25.76 | | | | | | | | | | | | | | | | | | (1391) op(e2, e1) = all_65_16
% 170.40/25.76 | | | | | | | | | | | | | | | | | |
% 170.40/25.76 | | | | | | | | | | | | | | | | | | REDUCE: (749), (1386) imply:
% 170.40/25.76 | | | | | | | | | | | | | | | | | | (1392) op(e0, e1) = all_65_49
% 170.40/25.76 | | | | | | | | | | | | | | | | | |
% 170.40/25.76 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_11, all_65_49, e1,
% 170.40/25.76 | | | | | | | | | | | | | | | | | | e0, simplifying with (224), (1392) gives:
% 170.40/25.76 | | | | | | | | | | | | | | | | | | (1393) all_65_49 = all_61_11
% 170.40/25.76 | | | | | | | | | | | | | | | | | |
% 170.40/25.76 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_14, all_65_49, e0,
% 170.40/25.76 | | | | | | | | | | | | | | | | | | e1, simplifying with (227), (1389) gives:
% 170.40/25.76 | | | | | | | | | | | | | | | | | | (1394) all_65_49 = all_61_14
% 170.40/25.76 | | | | | | | | | | | | | | | | | |
% 170.40/25.76 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_2, all_65_0, e3,
% 170.40/25.76 | | | | | | | | | | | | | | | | | | e1, simplifying with (230), (1388) gives:
% 170.40/25.76 | | | | | | | | | | | | | | | | | | (1395) all_65_0 = all_61_2
% 170.40/25.76 | | | | | | | | | | | | | | | | | |
% 170.40/25.76 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_9, all_65_16, e1,
% 170.40/25.76 | | | | | | | | | | | | | | | | | | e2, simplifying with (232), (1391) gives:
% 170.40/25.76 | | | | | | | | | | | | | | | | | | (1396) all_65_16 = all_61_9
% 170.40/25.76 | | | | | | | | | | | | | | | | | |
% 170.40/25.76 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_8, all_65_0, e1,
% 170.40/25.76 | | | | | | | | | | | | | | | | | | e3, simplifying with (236), (1390) gives:
% 170.40/25.76 | | | | | | | | | | | | | | | | | | (1397) all_65_0 = all_61_8
% 170.40/25.76 | | | | | | | | | | | | | | | | | |
% 170.40/25.76 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_40_1, all_65_0, e1,
% 170.40/25.76 | | | | | | | | | | | | | | | | | | e3, simplifying with (1384), (1390) gives:
% 170.40/25.76 | | | | | | | | | | | | | | | | | | (1398) all_65_0 = all_40_1
% 170.40/25.76 | | | | | | | | | | | | | | | | | |
% 170.40/25.76 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1395), (1398) imply:
% 170.40/25.76 | | | | | | | | | | | | | | | | | | (1399) all_61_2 = all_40_1
% 170.40/25.76 | | | | | | | | | | | | | | | | | |
% 170.40/25.76 | | | | | | | | | | | | | | | | | | SIMP: (1399) implies:
% 170.40/25.76 | | | | | | | | | | | | | | | | | | (1400) all_61_2 = all_40_1
% 170.40/25.76 | | | | | | | | | | | | | | | | | |
% 170.40/25.76 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1397), (1398) imply:
% 170.40/25.76 | | | | | | | | | | | | | | | | | | (1401) all_61_8 = all_40_1
% 170.40/25.76 | | | | | | | | | | | | | | | | | |
% 170.40/25.76 | | | | | | | | | | | | | | | | | | SIMP: (1401) implies:
% 170.40/25.76 | | | | | | | | | | | | | | | | | | (1402) all_61_8 = all_40_1
% 170.40/25.76 | | | | | | | | | | | | | | | | | |
% 170.40/25.76 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1393), (1394) imply:
% 170.40/25.76 | | | | | | | | | | | | | | | | | | (1403) all_61_11 = all_61_14
% 170.40/25.76 | | | | | | | | | | | | | | | | | |
% 170.40/25.76 | | | | | | | | | | | | | | | | | | SIMP: (1403) implies:
% 170.40/25.76 | | | | | | | | | | | | | | | | | | (1404) all_61_11 = all_61_14
% 170.40/25.76 | | | | | | | | | | | | | | | | | |
% 170.40/25.76 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (510), (1404) imply:
% 170.40/25.76 | | | | | | | | | | | | | | | | | | (1405) all_63_14 = all_61_14
% 170.40/25.76 | | | | | | | | | | | | | | | | | |
% 170.40/25.76 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (499), (1400) imply:
% 170.40/25.76 | | | | | | | | | | | | | | | | | | (1406) all_63_8 = all_40_1
% 170.40/25.76 | | | | | | | | | | | | | | | | | |
% 170.40/25.76 | | | | | | | | | | | | | | | | | | REDUCE: (216), (1400) imply:
% 170.40/25.76 | | | | | | | | | | | | | | | | | | (1407) ~ (all_61_1 = all_40_1)
% 170.40/25.76 | | | | | | | | | | | | | | | | | |
% 170.40/25.76 | | | | | | | | | | | | | | | | | | REDUCE: (190), (1402) imply:
% 170.40/25.76 | | | | | | | | | | | | | | | | | | (1408) ~ (all_61_9 = all_40_1)
% 170.40/25.76 | | | | | | | | | | | | | | | | | |
% 170.40/25.76 | | | | | | | | | | | | | | | | | | SIMP: (1408) implies:
% 170.40/25.76 | | | | | | | | | | | | | | | | | | (1409) ~ (all_61_9 = all_40_1)
% 170.40/25.76 | | | | | | | | | | | | | | | | | |
% 170.40/25.76 | | | | | | | | | | | | | | | | | | REDUCE: (188), (1402), (1404) imply:
% 170.40/25.76 | | | | | | | | | | | | | | | | | | (1410) ~ (all_61_14 = all_40_1)
% 170.40/25.76 | | | | | | | | | | | | | | | | | |
% 170.40/25.76 | | | | | | | | | | | | | | | | | | SIMP: (1410) implies:
% 170.40/25.76 | | | | | | | | | | | | | | | | | | (1411) ~ (all_61_14 = all_40_1)
% 170.40/25.76 | | | | | | | | | | | | | | | | | |
% 170.40/25.76 | | | | | | | | | | | | | | | | | | REDUCE: (865), (1402) imply:
% 170.40/25.76 | | | | | | | | | | | | | | | | | | (1412) ~ (all_40_1 = e1)
% 170.40/25.76 | | | | | | | | | | | | | | | | | |
% 170.40/25.76 | | | | | | | | | | | | | | | | | | REDUCE: (185), (1404) imply:
% 170.40/25.76 | | | | | | | | | | | | | | | | | | (1413) ~ (all_61_9 = all_61_14)
% 170.40/25.76 | | | | | | | | | | | | | | | | | |
% 170.40/25.76 | | | | | | | | | | | | | | | | | | REDUCE: (1336), (1404) imply:
% 170.40/25.76 | | | | | | | | | | | | | | | | | | (1414) ~ (all_61_14 = e3)
% 170.40/25.76 | | | | | | | | | | | | | | | | | |
% 170.40/25.76 | | | | | | | | | | | | | | | | | | BETA: splitting (161) gives:
% 170.40/25.76 | | | | | | | | | | | | | | | | | |
% 170.40/25.76 | | | | | | | | | | | | | | | | | | Case 1:
% 170.40/25.76 | | | | | | | | | | | | | | | | | | |
% 170.40/25.76 | | | | | | | | | | | | | | | | | | | (1415) ~ (all_58_2 = e2)
% 170.40/25.76 | | | | | | | | | | | | | | | | | | |
% 170.40/25.76 | | | | | | | | | | | | | | | | | | | REDUCE: (478), (1415) imply:
% 170.40/25.76 | | | | | | | | | | | | | | | | | | | (1416) ~ (all_52_2 = e2)
% 170.40/25.76 | | | | | | | | | | | | | | | | | | |
% 170.40/25.76 | | | | | | | | | | | | | | | | | | | BETA: splitting (164) gives:
% 170.40/25.76 | | | | | | | | | | | | | | | | | | |
% 170.40/25.76 | | | | | | | | | | | | | | | | | | | Case 1:
% 170.40/25.76 | | | | | | | | | | | | | | | | | | | |
% 170.40/25.76 | | | | | | | | | | | | | | | | | | | | (1417) ~ (all_58_1 = e1)
% 170.40/25.76 | | | | | | | | | | | | | | | | | | | |
% 170.40/25.76 | | | | | | | | | | | | | | | | | | | | REDUCE: (481), (1417) imply:
% 170.40/25.76 | | | | | | | | | | | | | | | | | | | | (1418) ~ (all_52_1 = e1)
% 170.40/25.76 | | | | | | | | | | | | | | | | | | | |
% 170.40/25.76 | | | | | | | | | | | | | | | | | | | | BETA: splitting (159) gives:
% 170.40/25.76 | | | | | | | | | | | | | | | | | | | |
% 170.40/25.76 | | | | | | | | | | | | | | | | | | | | Case 1:
% 170.40/25.76 | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.76 | | | | | | | | | | | | | | | | | | | | | (1419) ~ (all_58_3 = e3)
% 170.40/25.76 | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.76 | | | | | | | | | | | | | | | | | | | | | REDUCE: (475), (1419) imply:
% 170.40/25.76 | | | | | | | | | | | | | | | | | | | | | (1420) ~ (all_52_3 = e3)
% 170.40/25.76 | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.76 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (160) gives:
% 170.40/25.76 | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.76 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 170.40/25.76 | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.76 | | | | | | | | | | | | | | | | | | | | | | (1421) ~ (all_58_2 = e0)
% 170.40/25.76 | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.76 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (478), (1421) imply:
% 170.40/25.76 | | | | | | | | | | | | | | | | | | | | | | (1422) ~ (all_52_2 = e0)
% 170.40/25.76 | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.76 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (157) gives:
% 170.40/25.76 | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.76 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 170.40/25.76 | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.76 | | | | | | | | | | | | | | | | | | | | | | | (1423) ~ (all_58_3 = e1)
% 170.40/25.76 | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.76 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (475), (1423) imply:
% 170.40/25.76 | | | | | | | | | | | | | | | | | | | | | | | (1424) ~ (all_52_3 = e1)
% 170.40/25.76 | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.76 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (163) gives:
% 170.40/25.76 | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.76 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 170.40/25.76 | | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.76 | | | | | | | | | | | | | | | | | | | | | | | | (1425) ~ (all_58_1 = e0)
% 170.40/25.76 | | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.76 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (481), (1425) imply:
% 170.40/25.76 | | | | | | | | | | | | | | | | | | | | | | | | (1426) ~ (all_52_1 = e0)
% 170.40/25.76 | | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.76 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (50), (148), (158), (475), (481), (539), (765),
% 170.40/25.76 | | | | | | | | | | | | | | | | | | | | | | | | (851), (1346), (1420), (1424), (1426) are
% 170.40/25.76 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #438.
% 170.40/25.76 | | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.76 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 170.40/25.76 | | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.76 | | | | | | | | | | | | | | | | | | | | | | | | (1427) all_58_3 = e2
% 170.40/25.76 | | | | | | | | | | | | | | | | | | | | | | | | (1428) all_58_1 = e0
% 170.40/25.76 | | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.76 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (50), (225), (231), (475), (481), (663),
% 170.40/25.76 | | | | | | | | | | | | | | | | | | | | | | | | (731), (765), (903), (919), (1427), (1428) are
% 170.40/25.76 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #437.
% 170.40/25.76 | | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.76 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 170.40/25.76 | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.76 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 170.40/25.76 | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.76 | | | | | | | | | | | | | | | | | | | | | | | (1429) all_58_2 = e0
% 170.40/25.76 | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.76 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (478), (1422), (1429) are inconsistent by
% 170.40/25.76 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #436.
% 170.40/25.76 | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.76 | | | | | | | | | | | | | | | | | | | | | | End of split
% 170.40/25.76 | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.76 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 170.40/25.76 | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.76 | | | | | | | | | | | | | | | | | | | | | | (1430) all_58_3 = e1
% 170.40/25.76 | | | | | | | | | | | | | | | | | | | | | | (1431) all_58_2 = e0
% 170.40/25.76 | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.76 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (50), (224), (227), (475), (478), (680),
% 170.40/25.76 | | | | | | | | | | | | | | | | | | | | | | (748), (765), (868), (886), (1430), (1431) are
% 170.40/25.76 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #494.
% 170.40/25.76 | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.76 | | | | | | | | | | | | | | | | | | | | | End of split
% 170.40/25.76 | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.76 | | | | | | | | | | | | | | | | | | | | Case 2:
% 170.40/25.76 | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.76 | | | | | | | | | | | | | | | | | | | | | (1432) all_58_3 = e3
% 170.40/25.76 | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.76 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (475), (1432) imply:
% 170.40/25.76 | | | | | | | | | | | | | | | | | | | | | (1433) all_52_3 = e3
% 170.40/25.76 | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.76 | | | | | | | | | | | | | | | | | | | | | REDUCE: (632), (1433) imply:
% 170.40/25.76 | | | | | | | | | | | | | | | | | | | | | (1434) ~ (all_52_1 = e3)
% 170.40/25.76 | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.76 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (50), (150), (158), (163), (225), (231),
% 170.40/25.76 | | | | | | | | | | | | | | | | | | | | | (232), (475), (481), (536), (663), (731), (765),
% 170.40/25.76 | | | | | | | | | | | | | | | | | | | | | (866), (903), (909), (919), (1418), (1434) are
% 170.40/25.76 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #434.
% 170.40/25.76 | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.76 | | | | | | | | | | | | | | | | | | | | End of split
% 170.40/25.76 | | | | | | | | | | | | | | | | | | | |
% 170.40/25.76 | | | | | | | | | | | | | | | | | | | Case 2:
% 170.40/25.76 | | | | | | | | | | | | | | | | | | | |
% 170.40/25.76 | | | | | | | | | | | | | | | | | | | | (1435) all_58_2 = e2
% 170.40/25.76 | | | | | | | | | | | | | | | | | | | |
% 170.40/25.76 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (478), (1416), (1435) are inconsistent by
% 170.40/25.76 | | | | | | | | | | | | | | | | | | | | sub-proof #433.
% 170.40/25.76 | | | | | | | | | | | | | | | | | | | |
% 170.40/25.76 | | | | | | | | | | | | | | | | | | | End of split
% 170.40/25.76 | | | | | | | | | | | | | | | | | | |
% 170.40/25.76 | | | | | | | | | | | | | | | | | | Case 2:
% 170.40/25.76 | | | | | | | | | | | | | | | | | | |
% 170.40/25.76 | | | | | | | | | | | | | | | | | | | (1436) all_58_1 = e1
% 170.40/25.76 | | | | | | | | | | | | | | | | | | |
% 170.40/25.76 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (481), (1436) imply:
% 170.40/25.76 | | | | | | | | | | | | | | | | | | | (1437) all_52_1 = e1
% 170.40/25.76 | | | | | | | | | | | | | | | | | | |
% 170.40/25.76 | | | | | | | | | | | | | | | | | | | SIMP: (1437) implies:
% 170.40/25.76 | | | | | | | | | | | | | | | | | | | (1438) all_52_1 = e1
% 170.40/25.76 | | | | | | | | | | | | | | | | | | |
% 170.40/25.76 | | | | | | | | | | | | | | | | | | | REDUCE: (731), (1438) imply:
% 170.40/25.76 | | | | | | | | | | | | | | | | | | | (1439) op(e2, e1) = unit
% 170.40/25.76 | | | | | | | | | | | | | | | | | | |
% 170.40/25.76 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_9, unit, e1, e2,
% 170.40/25.76 | | | | | | | | | | | | | | | | | | | simplifying with (232), (1439) gives:
% 170.40/25.76 | | | | | | | | | | | | | | | | | | | (1440) all_61_9 = unit
% 170.40/25.76 | | | | | | | | | | | | | | | | | | |
% 170.40/25.76 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (497), (1440) imply:
% 170.40/25.76 | | | | | | | | | | | | | | | | | | | (1441) all_63_6 = unit
% 170.40/25.76 | | | | | | | | | | | | | | | | | | |
% 170.40/25.76 | | | | | | | | | | | | | | | | | | | REDUCE: (213), (1440) imply:
% 170.40/25.76 | | | | | | | | | | | | | | | | | | | (1442) ~ (all_61_1 = unit)
% 170.40/25.76 | | | | | | | | | | | | | | | | | | |
% 170.40/25.76 | | | | | | | | | | | | | | | | | | | REDUCE: (1413), (1440) imply:
% 170.40/25.76 | | | | | | | | | | | | | | | | | | | (1443) ~ (all_61_14 = unit)
% 170.40/25.76 | | | | | | | | | | | | | | | | | | |
% 170.40/25.76 | | | | | | | | | | | | | | | | | | | SIMP: (1443) implies:
% 170.40/25.76 | | | | | | | | | | | | | | | | | | | (1444) ~ (all_61_14 = unit)
% 170.40/25.76 | | | | | | | | | | | | | | | | | | |
% 170.40/25.76 | | | | | | | | | | | | | | | | | | | REDUCE: (1409), (1440) imply:
% 170.40/25.76 | | | | | | | | | | | | | | | | | | | (1445) ~ (all_40_1 = unit)
% 170.40/25.76 | | | | | | | | | | | | | | | | | | |
% 170.40/25.76 | | | | | | | | | | | | | | | | | | | SIMP: (1445) implies:
% 170.40/25.76 | | | | | | | | | | | | | | | | | | | (1446) ~ (all_40_1 = unit)
% 170.40/25.76 | | | | | | | | | | | | | | | | | | |
% 170.40/25.76 | | | | | | | | | | | | | | | | | | | REDUCE: (902), (1440) imply:
% 170.40/25.76 | | | | | | | | | | | | | | | | | | | (1447) ~ (unit = e2)
% 170.40/25.76 | | | | | | | | | | | | | | | | | | |
% 170.40/25.76 | | | | | | | | | | | | | | | | | | | REDUCE: (866), (1440) imply:
% 170.40/25.76 | | | | | | | | | | | | | | | | | | | (1448) ~ (unit = e1)
% 170.40/25.76 | | | | | | | | | | | | | | | | | | |
% 170.40/25.76 | | | | | | | | | | | | | | | | | | | BETA: splitting (265) gives:
% 170.40/25.76 | | | | | | | | | | | | | | | | | | |
% 170.40/25.76 | | | | | | | | | | | | | | | | | | | Case 1:
% 170.40/25.76 | | | | | | | | | | | | | | | | | | | |
% 170.40/25.76 | | | | | | | | | | | | | | | | | | | | (1449) all_63_6 = e3
% 170.40/25.76 | | | | | | | | | | | | | | | | | | | |
% 170.40/25.76 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1441), (1449) imply:
% 170.40/25.76 | | | | | | | | | | | | | | | | | | | | (1450) unit = e3
% 170.40/25.76 | | | | | | | | | | | | | | | | | | | |
% 170.40/25.76 | | | | | | | | | | | | | | | | | | | | REDUCE: (851), (1450) imply:
% 170.40/25.76 | | | | | | | | | | | | | | | | | | | | (1451) $false
% 170.40/25.76 | | | | | | | | | | | | | | | | | | | |
% 170.40/25.76 | | | | | | | | | | | | | | | | | | | | CLOSE: (1451) is inconsistent.
% 170.40/25.76 | | | | | | | | | | | | | | | | | | | |
% 170.40/25.76 | | | | | | | | | | | | | | | | | | | Case 2:
% 170.40/25.76 | | | | | | | | | | | | | | | | | | | |
% 170.40/25.76 | | | | | | | | | | | | | | | | | | | | (1452) all_63_6 = e2 | all_63_6 = e1 | all_63_6 = e0
% 170.40/25.76 | | | | | | | | | | | | | | | | | | | |
% 170.40/25.76 | | | | | | | | | | | | | | | | | | | | BETA: splitting (1452) gives:
% 170.40/25.76 | | | | | | | | | | | | | | | | | | | |
% 170.40/25.76 | | | | | | | | | | | | | | | | | | | | Case 1:
% 170.40/25.76 | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.76 | | | | | | | | | | | | | | | | | | | | | (1453) all_63_6 = e2
% 170.40/25.76 | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.76 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1441), (1453) imply:
% 170.40/25.76 | | | | | | | | | | | | | | | | | | | | | (1454) unit = e2
% 170.40/25.76 | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.76 | | | | | | | | | | | | | | | | | | | | | REDUCE: (1447), (1454) imply:
% 170.40/25.76 | | | | | | | | | | | | | | | | | | | | | (1455) $false
% 170.40/25.76 | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.76 | | | | | | | | | | | | | | | | | | | | | CLOSE: (1455) is inconsistent.
% 170.40/25.76 | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.76 | | | | | | | | | | | | | | | | | | | | Case 2:
% 170.40/25.76 | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.76 | | | | | | | | | | | | | | | | | | | | | (1456) all_63_6 = e1 | all_63_6 = e0
% 170.40/25.76 | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.76 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1456) gives:
% 170.40/25.76 | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.76 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 170.40/25.76 | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.76 | | | | | | | | | | | | | | | | | | | | | | (1457) all_63_6 = e1
% 170.40/25.76 | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.76 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1441), (1457) imply:
% 170.40/25.76 | | | | | | | | | | | | | | | | | | | | | | (1458) unit = e1
% 170.40/25.76 | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.76 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1448), (1458) imply:
% 170.40/25.76 | | | | | | | | | | | | | | | | | | | | | | (1459) $false
% 170.40/25.76 | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.76 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1459) is inconsistent.
% 170.40/25.76 | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.76 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 170.40/25.76 | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.76 | | | | | | | | | | | | | | | | | | | | | | (1460) all_63_6 = e0
% 170.40/25.76 | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.76 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1441), (1460) imply:
% 170.40/25.76 | | | | | | | | | | | | | | | | | | | | | | (1461) unit = e0
% 170.40/25.76 | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.76 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1442), (1461) imply:
% 170.40/25.76 | | | | | | | | | | | | | | | | | | | | | | (1462) ~ (all_61_1 = e0)
% 170.40/25.76 | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.76 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1444), (1461) imply:
% 170.40/25.76 | | | | | | | | | | | | | | | | | | | | | | (1463) ~ (all_61_14 = e0)
% 170.40/25.76 | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.76 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1446), (1461) imply:
% 170.40/25.76 | | | | | | | | | | | | | | | | | | | | | | (1464) ~ (all_40_1 = e0)
% 170.40/25.76 | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.76 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (257) gives:
% 170.40/25.76 | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.76 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 170.40/25.76 | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.76 | | | | | | | | | | | | | | | | | | | | | | | (1465) all_63_14 = e3
% 170.40/25.76 | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.76 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1405), (1465) imply:
% 170.40/25.76 | | | | | | | | | | | | | | | | | | | | | | | (1466) all_61_14 = e3
% 170.40/25.76 | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.76 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1414), (1466) imply:
% 170.40/25.76 | | | | | | | | | | | | | | | | | | | | | | | (1467) $false
% 170.40/25.76 | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.76 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1467) is inconsistent.
% 170.40/25.76 | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.76 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | | | | (1468) all_63_14 = e2 | all_63_14 = e1 | all_63_14 = e0
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1468) gives:
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | | | | | (1469) all_63_14 = e2
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1405), (1469) imply:
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | | | | | (1470) all_61_14 = e2
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1411), (1470) imply:
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | | | | | (1471) ~ (all_40_1 = e2)
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1471) implies:
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | | | | | (1472) ~ (all_40_1 = e2)
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (267) gives:
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | | | | | | (1473) all_63_4 = e3
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (493), (1473) imply:
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | | | | | | (1474) all_61_1 = e3
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1407), (1474) imply:
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | | | | | | (1475) ~ (all_40_1 = e3)
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1475) implies:
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | | | | | | (1476) ~ (all_40_1 = e3)
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (263), (1406), (1412), (1464), (1472), (1476) are
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #432.
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | | | | | | (1477) all_63_4 = e2 | all_63_4 = e1 | all_63_4 = e0
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (493), (899), (1387), (1462), (1477) are
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #471.
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | | | | | (1478) all_63_14 = e1 | all_63_14 = e0
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1478) gives:
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | | | | | | (1479) all_63_14 = e1
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1405), (1479) imply:
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | | | | | | (1480) all_61_14 = e1
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (868), (1480) imply:
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | | | | | | (1481) $false
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1481) is inconsistent.
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | | | | | | (1482) all_63_14 = e0
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1405), (1482) imply:
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | | | | | | (1483) all_61_14 = e0
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1463), (1483) imply:
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | | | | | | (1484) $false
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1484) is inconsistent.
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | | | End of split
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | | End of split
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | End of split
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | |
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | End of split
% 170.40/25.77 | | | | | | | | | | | | | | | | | | |
% 170.40/25.77 | | | | | | | | | | | | | | | | | | End of split
% 170.40/25.77 | | | | | | | | | | | | | | | | | |
% 170.40/25.77 | | | | | | | | | | | | | | | | | End of split
% 170.40/25.77 | | | | | | | | | | | | | | | | |
% 170.40/25.77 | | | | | | | | | | | | | | | | Case 2:
% 170.40/25.77 | | | | | | | | | | | | | | | | |
% 170.40/25.77 | | | | | | | | | | | | | | | | | (1485) all_36_2 = e0
% 170.40/25.77 | | | | | | | | | | | | | | | | |
% 170.40/25.77 | | | | | | | | | | | | | | | | | COMBINE_EQS: (557), (1485) imply:
% 170.40/25.77 | | | | | | | | | | | | | | | | | (1486) all_14_2 = e0
% 170.40/25.77 | | | | | | | | | | | | | | | | |
% 170.40/25.77 | | | | | | | | | | | | | | | | | SIMP: (1486) implies:
% 170.40/25.77 | | | | | | | | | | | | | | | | | (1487) all_14_2 = e0
% 170.40/25.77 | | | | | | | | | | | | | | | | |
% 170.40/25.77 | | | | | | | | | | | | | | | | | REDUCE: (601), (1487) imply:
% 170.40/25.77 | | | | | | | | | | | | | | | | | (1488) ~ (all_61_8 = e0)
% 170.40/25.77 | | | | | | | | | | | | | | | | |
% 170.40/25.77 | | | | | | | | | | | | | | | | | REDUCE: (1366), (1487) imply:
% 170.40/25.77 | | | | | | | | | | | | | | | | | (1489) ~ (all_28_1 = e0)
% 170.40/25.77 | | | | | | | | | | | | | | | | |
% 170.40/25.77 | | | | | | | | | | | | | | | | | REDUCE: (635), (1487) imply:
% 170.40/25.77 | | | | | | | | | | | | | | | | | (1490) op(e0, e2) = all_65_1
% 170.40/25.77 | | | | | | | | | | | | | | | | |
% 170.40/25.77 | | | | | | | | | | | | | | | | | REDUCE: (636), (1487) imply:
% 170.40/25.77 | | | | | | | | | | | | | | | | | (1491) op(e0, e1) = all_65_2
% 170.40/25.77 | | | | | | | | | | | | | | | | |
% 170.40/25.77 | | | | | | | | | | | | | | | | | REDUCE: (715), (1487) imply:
% 170.40/25.77 | | | | | | | | | | | | | | | | | (1492) op(e2, e0) = all_65_16
% 170.40/25.77 | | | | | | | | | | | | | | | | |
% 170.40/25.77 | | | | | | | | | | | | | | | | | REDUCE: (732), (1487) imply:
% 170.40/25.77 | | | | | | | | | | | | | | | | | (1493) op(e1, e0) = all_65_32
% 170.40/25.77 | | | | | | | | | | | | | | | | |
% 170.40/25.77 | | | | | | | | | | | | | | | | | REDUCE: (749), (1487) imply:
% 170.40/25.77 | | | | | | | | | | | | | | | | | (1494) op(e0, e0) = all_65_49
% 170.40/25.77 | | | | | | | | | | | | | | | | |
% 170.40/25.77 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e3, all_65_49, e0, e0,
% 170.40/25.77 | | | | | | | | | | | | | | | | | simplifying with (1346), (1494) gives:
% 170.40/25.77 | | | | | | | | | | | | | | | | | (1495) all_65_49 = e3
% 170.40/25.77 | | | | | | | | | | | | | | | | |
% 170.40/25.77 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_11, all_65_2, e1,
% 170.40/25.77 | | | | | | | | | | | | | | | | | e0, simplifying with (224), (1491) gives:
% 170.40/25.77 | | | | | | | | | | | | | | | | | (1496) all_65_2 = all_61_11
% 170.40/25.77 | | | | | | | | | | | | | | | | |
% 170.40/25.77 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_7, all_65_1, e2,
% 170.40/25.77 | | | | | | | | | | | | | | | | | e0, simplifying with (225), (1490) gives:
% 170.40/25.77 | | | | | | | | | | | | | | | | | (1497) all_65_1 = all_61_7
% 170.40/25.77 | | | | | | | | | | | | | | | | |
% 170.40/25.77 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_14, all_65_32, e0,
% 170.40/25.77 | | | | | | | | | | | | | | | | | e1, simplifying with (227), (1493) gives:
% 170.40/25.77 | | | | | | | | | | | | | | | | | (1498) all_65_32 = all_61_14
% 170.40/25.77 | | | | | | | | | | | | | | | | |
% 170.40/25.77 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_13, all_65_16, e0,
% 170.40/25.77 | | | | | | | | | | | | | | | | | e2, simplifying with (231), (1492) gives:
% 170.40/25.77 | | | | | | | | | | | | | | | | | (1499) all_65_16 = all_61_13
% 170.40/25.77 | | | | | | | | | | | | | | | | |
% 170.40/25.77 | | | | | | | | | | | | | | | | | BETA: splitting (157) gives:
% 170.40/25.77 | | | | | | | | | | | | | | | | |
% 170.40/25.77 | | | | | | | | | | | | | | | | | Case 1:
% 170.40/25.77 | | | | | | | | | | | | | | | | | |
% 170.40/25.77 | | | | | | | | | | | | | | | | | | (1500) ~ (all_58_3 = e1)
% 170.40/25.77 | | | | | | | | | | | | | | | | | |
% 170.40/25.77 | | | | | | | | | | | | | | | | | | REDUCE: (475), (1500) imply:
% 170.40/25.77 | | | | | | | | | | | | | | | | | | (1501) ~ (all_52_3 = e1)
% 170.40/25.77 | | | | | | | | | | | | | | | | | |
% 170.40/25.77 | | | | | | | | | | | | | | | | | | BETA: splitting (160) gives:
% 170.40/25.77 | | | | | | | | | | | | | | | | | |
% 170.40/25.77 | | | | | | | | | | | | | | | | | | Case 1:
% 170.40/25.77 | | | | | | | | | | | | | | | | | | |
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | (1502) ~ (all_58_2 = e0)
% 170.40/25.77 | | | | | | | | | | | | | | | | | | |
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | REDUCE: (478), (1502) imply:
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | (1503) ~ (all_52_2 = e0)
% 170.40/25.77 | | | | | | | | | | | | | | | | | | |
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | BETA: splitting (158) gives:
% 170.40/25.77 | | | | | | | | | | | | | | | | | | |
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | Case 1:
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | |
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | (1504) ~ (all_58_3 = e2)
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | |
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | REDUCE: (475), (1504) imply:
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | (1505) ~ (all_52_3 = e2)
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | |
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | BETA: splitting (161) gives:
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | |
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | Case 1:
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | | (1506) ~ (all_58_2 = e2)
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | | REDUCE: (478), (1506) imply:
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | | (1507) ~ (all_52_2 = e2)
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (162) gives:
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | | | (1508) ~ (all_58_2 = e3)
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (50), (149), (232), (478), (538), (748),
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | | | (876), (902), (1503), (1507), (1508) are
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #479.
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | | | (1509) all_58_2 = e3
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | | | (1510) all_58_0 = e1
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (50), (148), (478), (484), (539), (630), (633),
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | | | (765), (851), (1346), (1505), (1509), (1510) are
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #431.
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | | End of split
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | Case 2:
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | | (1511) all_58_2 = e2
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | | (1512) all_58_1 = e1
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (481), (1512) imply:
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | | (1513) all_52_1 = e1
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | | SIMP: (1513) implies:
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | | (1514) all_52_1 = e1
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (478), (1511) imply:
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | | (1515) all_52_2 = e2
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | | SIMP: (1515) implies:
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | | (1516) all_52_2 = e2
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | | REDUCE: (731), (1514) imply:
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | | (1517) op(e2, e1) = unit
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | | REDUCE: (748), (1516) imply:
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | | (1518) op(e1, e2) = unit
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_6, unit, e2, e1,
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | | simplifying with (229), (1518) gives:
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | | (1519) all_61_6 = unit
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_9, unit, e1, e2,
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | | simplifying with (232), (1517) gives:
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | | (1520) all_61_9 = unit
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | | REDUCE: (195), (1519) imply:
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | | (1521) ~ (all_61_7 = unit)
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | | SIMP: (1521) implies:
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | | (1522) ~ (all_61_7 = unit)
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | | REDUCE: (185), (1520) imply:
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | | (1523) ~ (all_61_11 = unit)
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | | SIMP: (1523) implies:
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | | (1524) ~ (all_61_11 = unit)
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | | REDUCE: (902), (1520) imply:
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | | (1525) ~ (unit = e2)
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | | REDUCE: (866), (1520) imply:
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | | (1526) ~ (unit = e1)
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (852) gives:
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | | | (1527) unit = e2
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1525), (1527) imply:
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | | | (1528) $false
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1528) is inconsistent.
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | | | (1529) unit = e1 | unit = e0
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1529) gives:
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | | | | (1530) unit = e1
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1526), (1530) imply:
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | | | | (1531) $false
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1531) is inconsistent.
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | | | | (1532) unit = e0
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1522), (1532) imply:
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | | | | (1533) ~ (all_61_7 = e0)
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1524), (1532) imply:
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | | | | (1534) ~ (all_61_11 = e0)
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (257) gives:
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | | | | | (1535) all_63_14 = e3
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (510), (1535) imply:
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | | | | | (1536) all_61_11 = e3
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1336), (1536) imply:
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | | | | | (1537) $false
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1537) is inconsistent.
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | | | | | (1538) all_63_14 = e2 | all_63_14 = e1 | all_63_14 = e0
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1538) gives:
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | | | | | | (1539) all_63_14 = e2
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (510), (1539) imply:
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | | | | | | (1540) all_61_11 = e2
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1365), (1540) imply:
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | | | | | | (1541) ~ (all_28_1 = e2)
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1541) implies:
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | | | | | | (1542) ~ (all_28_1 = e2)
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (258), (268), (508), (901), (1335), (1361),
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | | | | | | (1363), (1367), (1489), (1533), (1542) are
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #429.
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | | | | | | (1543) all_63_14 = e1 | all_63_14 = e0
% 170.40/25.77 | | | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.78 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (510), (867), (1534), (1543) are inconsistent by
% 170.40/25.78 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #428.
% 170.40/25.78 | | | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.78 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 170.40/25.78 | | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.78 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 170.40/25.78 | | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.78 | | | | | | | | | | | | | | | | | | | | | | End of split
% 170.40/25.78 | | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.78 | | | | | | | | | | | | | | | | | | | | | End of split
% 170.40/25.78 | | | | | | | | | | | | | | | | | | | | |
% 170.40/25.78 | | | | | | | | | | | | | | | | | | | | End of split
% 170.40/25.78 | | | | | | | | | | | | | | | | | | | |
% 170.40/25.78 | | | | | | | | | | | | | | | | | | | Case 2:
% 170.40/25.78 | | | | | | | | | | | | | | | | | | | |
% 170.40/25.78 | | | | | | | | | | | | | | | | | | | | (1544) all_58_3 = e2
% 170.40/25.78 | | | | | | | | | | | | | | | | | | | | (1545) all_58_1 = e0
% 170.40/25.78 | | | | | | | | | | | | | | | | | | | |
% 170.40/25.78 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (50), (225), (231), (475), (481), (663),
% 170.40/25.78 | | | | | | | | | | | | | | | | | | | | (731), (765), (903), (919), (1544), (1545) are
% 170.40/25.78 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #456.
% 170.40/25.78 | | | | | | | | | | | | | | | | | | | |
% 170.40/25.78 | | | | | | | | | | | | | | | | | | | End of split
% 170.40/25.78 | | | | | | | | | | | | | | | | | | |
% 170.40/25.78 | | | | | | | | | | | | | | | | | | Case 2:
% 170.40/25.78 | | | | | | | | | | | | | | | | | | |
% 170.40/25.78 | | | | | | | | | | | | | | | | | | | (1546) all_58_3 = e1
% 170.40/25.78 | | | | | | | | | | | | | | | | | | |
% 170.40/25.78 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (475), (1501), (1546) are inconsistent by
% 170.40/25.78 | | | | | | | | | | | | | | | | | | | sub-proof #460.
% 170.40/25.78 | | | | | | | | | | | | | | | | | | |
% 170.40/25.78 | | | | | | | | | | | | | | | | | | End of split
% 170.40/25.78 | | | | | | | | | | | | | | | | | |
% 170.40/25.78 | | | | | | | | | | | | | | | | | Case 2:
% 170.40/25.78 | | | | | | | | | | | | | | | | | |
% 170.40/25.78 | | | | | | | | | | | | | | | | | | (1547) all_58_3 = e1
% 170.40/25.78 | | | | | | | | | | | | | | | | | | (1548) all_58_2 = e0
% 170.40/25.78 | | | | | | | | | | | | | | | | | |
% 170.40/25.78 | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (50), (224), (227), (475), (478), (693),
% 170.40/25.78 | | | | | | | | | | | | | | | | | | (748), (760), (765), (1370), (1373), (1488),
% 170.40/25.78 | | | | | | | | | | | | | | | | | | (1547), (1548) are inconsistent by sub-proof #425.
% 170.40/25.78 | | | | | | | | | | | | | | | | | |
% 170.40/25.78 | | | | | | | | | | | | | | | | | End of split
% 170.40/25.78 | | | | | | | | | | | | | | | | |
% 170.40/25.78 | | | | | | | | | | | | | | | | End of split
% 170.40/25.78 | | | | | | | | | | | | | | | |
% 170.40/25.78 | | | | | | | | | | | | | | | End of split
% 170.40/25.78 | | | | | | | | | | | | | | |
% 170.40/25.78 | | | | | | | | | | | | | | Case 2:
% 170.40/25.78 | | | | | | | | | | | | | | |
% 170.40/25.78 | | | | | | | | | | | | | | | (1549) all_63_5 = e1 | all_63_5 = e0
% 170.40/25.78 | | | | | | | | | | | | | | |
% 170.40/25.78 | | | | | | | | | | | | | | | REF_CLOSE: (587), (889), (893), (1549) are inconsistent by
% 170.40/25.78 | | | | | | | | | | | | | | | sub-proof #524.
% 170.40/25.78 | | | | | | | | | | | | | | |
% 170.40/25.78 | | | | | | | | | | | | | | End of split
% 170.40/25.78 | | | | | | | | | | | | | |
% 170.40/25.78 | | | | | | | | | | | | | End of split
% 170.40/25.78 | | | | | | | | | | | | |
% 170.40/25.78 | | | | | | | | | | | | Case 2:
% 170.40/25.78 | | | | | | | | | | | | |
% 170.40/25.78 | | | | | | | | | | | | | (1550) all_22_2 = e0
% 170.40/25.78 | | | | | | | | | | | | | (1551) op(e2, e0) = all_22_1 & $i(all_22_1) & ( ~
% 170.40/25.78 | | | | | | | | | | | | | (all_22_1 = e1) | ( ~ (all_22_0 = e3) & op(e1,
% 170.40/25.78 | | | | | | | | | | | | | e2) = all_22_0 & $i(all_22_0)))
% 170.40/25.78 | | | | | | | | | | | | |
% 170.40/25.78 | | | | | | | | | | | | | ALPHA: (1551) implies:
% 170.40/25.78 | | | | | | | | | | | | | (1552) op(e2, e0) = all_22_1
% 170.40/25.78 | | | | | | | | | | | | |
% 170.40/25.78 | | | | | | | | | | | | | COMBINE_EQS: (449), (1550) imply:
% 170.40/25.78 | | | | | | | | | | | | | (1553) all_6_2 = e0
% 170.40/25.78 | | | | | | | | | | | | |
% 170.40/25.78 | | | | | | | | | | | | | COMBINE_EQS: (580), (1553) imply:
% 170.40/25.78 | | | | | | | | | | | | | (1554) all_38_2 = e0
% 170.40/25.78 | | | | | | | | | | | | |
% 170.40/25.78 | | | | | | | | | | | | | REDUCE: (604), (1553) imply:
% 170.40/25.78 | | | | | | | | | | | | | (1555) ~ (all_61_1 = e0)
% 170.40/25.78 | | | | | | | | | | | | |
% 170.40/25.78 | | | | | | | | | | | | | REDUCE: (607), (1553) imply:
% 170.40/25.78 | | | | | | | | | | | | | (1556) ~ (all_61_4 = e0)
% 170.40/25.78 | | | | | | | | | | | | |
% 170.40/25.78 | | | | | | | | | | | | | REDUCE: (609), (1553) imply:
% 170.40/25.78 | | | | | | | | | | | | | (1557) ~ (all_61_6 = e0)
% 170.40/25.78 | | | | | | | | | | | | |
% 170.40/25.78 | | | | | | | | | | | | | REDUCE: (613), (1553) imply:
% 170.40/25.78 | | | | | | | | | | | | | (1558) ~ (all_61_9 = e0)
% 170.40/25.78 | | | | | | | | | | | | |
% 170.40/25.78 | | | | | | | | | | | | | REDUCE: (615), (1553) imply:
% 170.40/25.78 | | | | | | | | | | | | | (1559) ~ (all_61_13 = e0)
% 170.40/25.78 | | | | | | | | | | | | |
% 170.40/25.78 | | | | | | | | | | | | | REDUCE: (654), (1553) imply:
% 170.40/25.78 | | | | | | | | | | | | | (1560) op(e0, e3) = all_65_20
% 170.40/25.78 | | | | | | | | | | | | |
% 170.40/25.78 | | | | | | | | | | | | | REDUCE: (655), (1553) imply:
% 170.40/25.78 | | | | | | | | | | | | | (1561) op(e0, e2) = all_65_21
% 170.40/25.78 | | | | | | | | | | | | |
% 170.40/25.78 | | | | | | | | | | | | | REDUCE: (656), (1553) imply:
% 170.40/25.78 | | | | | | | | | | | | | (1562) op(e0, e1) = all_65_22
% 170.40/25.78 | | | | | | | | | | | | |
% 170.40/25.78 | | | | | | | | | | | | | REDUCE: (657), (1553) imply:
% 170.40/25.78 | | | | | | | | | | | | | (1563) op(e0, e0) = all_65_23
% 170.40/25.78 | | | | | | | | | | | | |
% 170.40/25.78 | | | | | | | | | | | | | REDUCE: (703), (1553) imply:
% 170.40/25.78 | | | | | | | | | | | | | (1564) op(e3, e0) = all_65_5
% 170.40/25.78 | | | | | | | | | | | | |
% 170.40/25.78 | | | | | | | | | | | | | REDUCE: (720), (1553) imply:
% 170.40/25.78 | | | | | | | | | | | | | (1565) op(e2, e0) = all_65_21
% 170.40/25.78 | | | | | | | | | | | | |
% 170.40/25.78 | | | | | | | | | | | | | REDUCE: (55), (1553) imply:
% 170.40/25.78 | | | | | | | | | | | | | (1566) op(e2, e2) = e0
% 170.40/25.78 | | | | | | | | | | | | |
% 170.40/25.78 | | | | | | | | | | | | | REDUCE: (737), (1553) imply:
% 170.40/25.78 | | | | | | | | | | | | | (1567) op(e1, e0) = all_65_37
% 170.40/25.78 | | | | | | | | | | | | |
% 170.40/25.78 | | | | | | | | | | | | | REDUCE: (754), (1553) imply:
% 170.40/25.78 | | | | | | | | | | | | | (1568) op(e0, e0) = all_65_59
% 170.40/25.78 | | | | | | | | | | | | |
% 170.40/25.78 | | | | | | | | | | | | | BETA: splitting (104) gives:
% 170.40/25.78 | | | | | | | | | | | | |
% 170.40/25.78 | | | | | | | | | | | | | Case 1:
% 170.40/25.78 | | | | | | | | | | | | | |
% 170.40/25.78 | | | | | | | | | | | | | | (1569) ~ (all_38_2 = e0)
% 170.40/25.78 | | | | | | | | | | | | | |
% 170.40/25.78 | | | | | | | | | | | | | | REDUCE: (1554), (1569) imply:
% 170.87/25.78 | | | | | | | | | | | | | | (1570) $false
% 170.87/25.78 | | | | | | | | | | | | | |
% 170.87/25.78 | | | | | | | | | | | | | | CLOSE: (1570) is inconsistent.
% 170.87/25.78 | | | | | | | | | | | | | |
% 170.87/25.78 | | | | | | | | | | | | | Case 2:
% 170.87/25.78 | | | | | | | | | | | | | |
% 170.87/25.78 | | | | | | | | | | | | | | (1571) op(e2, e0) = all_38_1 & $i(all_38_1) & ( ~
% 170.87/25.78 | | | | | | | | | | | | | | (all_38_1 = e3) | ( ~ (all_38_0 = e1) & op(e3,
% 170.87/25.78 | | | | | | | | | | | | | | e2) = all_38_0 & $i(all_38_0)))
% 170.87/25.78 | | | | | | | | | | | | | |
% 170.87/25.78 | | | | | | | | | | | | | | ALPHA: (1571) implies:
% 170.87/25.78 | | | | | | | | | | | | | | (1572) op(e2, e0) = all_38_1
% 170.87/25.78 | | | | | | | | | | | | | |
% 170.87/25.78 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_20_2, all_65_23, e0,
% 170.87/25.78 | | | | | | | | | | | | | | e0, simplifying with (76), (1563) gives:
% 170.87/25.78 | | | | | | | | | | | | | | (1573) all_65_23 = all_20_2
% 170.87/25.78 | | | | | | | | | | | | | |
% 170.87/25.78 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_59, all_65_23, e0,
% 170.87/25.78 | | | | | | | | | | | | | | e0, simplifying with (1563), (1568) gives:
% 170.87/25.78 | | | | | | | | | | | | | | (1574) all_65_23 = all_65_59
% 170.87/25.78 | | | | | | | | | | | | | |
% 170.87/25.78 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_11, all_65_22, e1,
% 170.87/25.78 | | | | | | | | | | | | | | e0, simplifying with (224), (1562) gives:
% 170.87/25.78 | | | | | | | | | | | | | | (1575) all_65_22 = all_61_11
% 170.87/25.78 | | | | | | | | | | | | | |
% 170.87/25.78 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_7, all_65_21, e2,
% 170.87/25.78 | | | | | | | | | | | | | | e0, simplifying with (225), (1561) gives:
% 170.87/25.78 | | | | | | | | | | | | | | (1576) all_65_21 = all_61_7
% 170.87/25.78 | | | | | | | | | | | | | |
% 170.87/25.78 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_3, all_65_20, e3,
% 170.87/25.78 | | | | | | | | | | | | | | e0, simplifying with (226), (1560) gives:
% 170.87/25.78 | | | | | | | | | | | | | | (1577) all_65_20 = all_61_3
% 170.87/25.78 | | | | | | | | | | | | | |
% 170.87/25.78 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_14, all_65_37, e0,
% 170.87/25.78 | | | | | | | | | | | | | | e1, simplifying with (227), (1567) gives:
% 170.87/25.78 | | | | | | | | | | | | | | (1578) all_65_37 = all_61_14
% 170.87/25.78 | | | | | | | | | | | | | |
% 170.87/25.78 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_13, all_22_1, e0,
% 170.87/25.78 | | | | | | | | | | | | | | e2, simplifying with (231), (1552) gives:
% 170.87/25.78 | | | | | | | | | | | | | | (1579) all_61_13 = all_22_1
% 170.87/25.78 | | | | | | | | | | | | | |
% 170.87/25.78 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_13, all_65_21, e0,
% 170.87/25.78 | | | | | | | | | | | | | | e2, simplifying with (231), (1565) gives:
% 170.87/25.78 | | | | | | | | | | | | | | (1580) all_65_21 = all_61_13
% 170.87/25.78 | | | | | | | | | | | | | |
% 170.87/25.78 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_38_1, all_65_21, e0,
% 170.87/25.78 | | | | | | | | | | | | | | e2, simplifying with (1565), (1572) gives:
% 170.87/25.78 | | | | | | | | | | | | | | (1581) all_65_21 = all_38_1
% 170.87/25.78 | | | | | | | | | | | | | |
% 170.87/25.78 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_12, all_65_5, e0,
% 170.87/25.78 | | | | | | | | | | | | | | e3, simplifying with (235), (1564) gives:
% 170.87/25.78 | | | | | | | | | | | | | | (1582) all_65_5 = all_61_12
% 170.87/25.78 | | | | | | | | | | | | | |
% 170.87/25.78 | | | | | | | | | | | | | | COMBINE_EQS: (1576), (1581) imply:
% 170.87/25.78 | | | | | | | | | | | | | | (1583) all_61_7 = all_38_1
% 170.87/25.78 | | | | | | | | | | | | | |
% 170.87/25.78 | | | | | | | | | | | | | | SIMP: (1583) implies:
% 170.87/25.78 | | | | | | | | | | | | | | (1584) all_61_7 = all_38_1
% 170.87/25.78 | | | | | | | | | | | | | |
% 170.87/25.78 | | | | | | | | | | | | | | COMBINE_EQS: (1580), (1581) imply:
% 170.87/25.78 | | | | | | | | | | | | | | (1585) all_61_13 = all_38_1
% 170.87/25.78 | | | | | | | | | | | | | |
% 170.87/25.78 | | | | | | | | | | | | | | SIMP: (1585) implies:
% 170.87/25.78 | | | | | | | | | | | | | | (1586) all_61_13 = all_38_1
% 170.87/25.78 | | | | | | | | | | | | | |
% 170.87/25.78 | | | | | | | | | | | | | | COMBINE_EQS: (1573), (1574) imply:
% 170.87/25.78 | | | | | | | | | | | | | | (1587) all_65_59 = all_20_2
% 170.87/25.78 | | | | | | | | | | | | | |
% 170.87/25.78 | | | | | | | | | | | | | | SIMP: (1587) implies:
% 170.87/25.78 | | | | | | | | | | | | | | (1588) all_65_59 = all_20_2
% 170.87/25.78 | | | | | | | | | | | | | |
% 170.87/25.78 | | | | | | | | | | | | | | COMBINE_EQS: (1579), (1586) imply:
% 170.87/25.78 | | | | | | | | | | | | | | (1589) all_38_1 = all_22_1
% 170.87/25.78 | | | | | | | | | | | | | |
% 170.87/25.78 | | | | | | | | | | | | | | SIMP: (1589) implies:
% 170.87/25.78 | | | | | | | | | | | | | | (1590) all_38_1 = all_22_1
% 170.87/25.78 | | | | | | | | | | | | | |
% 170.87/25.78 | | | | | | | | | | | | | | COMBINE_EQS: (1584), (1590) imply:
% 170.87/25.78 | | | | | | | | | | | | | | (1591) all_61_7 = all_22_1
% 170.87/25.78 | | | | | | | | | | | | | |
% 170.87/25.78 | | | | | | | | | | | | | | COMBINE_EQS: (508), (1591) imply:
% 170.87/25.78 | | | | | | | | | | | | | | (1592) all_63_13 = all_22_1
% 170.87/25.78 | | | | | | | | | | | | | |
% 170.87/25.78 | | | | | | | | | | | | | | COMBINE_EQS: (498), (1579) imply:
% 170.87/25.78 | | | | | | | | | | | | | | (1593) all_63_7 = all_22_1
% 170.87/25.78 | | | | | | | | | | | | | |
% 170.87/25.78 | | | | | | | | | | | | | | REDUCE: (212), (1579) imply:
% 170.87/25.78 | | | | | | | | | | | | | | (1594) ~ (all_61_1 = all_22_1)
% 170.87/25.78 | | | | | | | | | | | | | |
% 170.87/25.78 | | | | | | | | | | | | | | REDUCE: (195), (1591) imply:
% 170.87/25.78 | | | | | | | | | | | | | | (1595) ~ (all_61_6 = all_22_1)
% 170.87/25.78 | | | | | | | | | | | | | |
% 170.87/25.78 | | | | | | | | | | | | | | REDUCE: (184), (1579) imply:
% 170.87/25.78 | | | | | | | | | | | | | | (1596) ~ (all_61_9 = all_22_1)
% 170.87/25.78 | | | | | | | | | | | | | |
% 170.87/25.78 | | | | | | | | | | | | | | REDUCE: (626), (1579) imply:
% 170.87/25.78 | | | | | | | | | | | | | | (1597) ~ (all_22_1 = all_20_2)
% 170.87/25.78 | | | | | | | | | | | | | |
% 170.87/25.78 | | | | | | | | | | | | | | REDUCE: (1559), (1579) imply:
% 170.87/25.78 | | | | | | | | | | | | | | (1598) ~ (all_22_1 = e0)
% 170.87/25.78 | | | | | | | | | | | | | |
% 170.87/25.78 | | | | | | | | | | | | | | REDUCE: (686), (1591) imply:
% 170.87/25.78 | | | | | | | | | | | | | | (1599) op(all_22_1, e3) = all_65_57
% 170.87/25.78 | | | | | | | | | | | | | |
% 170.87/25.78 | | | | | | | | | | | | | | REDUCE: (687), (1588), (1591) imply:
% 170.87/25.78 | | | | | | | | | | | | | | (1600) op(all_22_1, e2) = all_20_2
% 170.87/25.78 | | | | | | | | | | | | | |
% 170.87/25.78 | | | | | | | | | | | | | | REDUCE: (688), (1591) imply:
% 170.87/25.78 | | | | | | | | | | | | | | (1601) op(all_22_1, e1) = all_65_61
% 170.87/25.78 | | | | | | | | | | | | | |
% 170.87/25.78 | | | | | | | | | | | | | | REDUCE: (689), (1591) imply:
% 170.87/25.78 | | | | | | | | | | | | | | (1602) op(all_22_1, e0) = all_65_63
% 170.87/25.78 | | | | | | | | | | | | | |
% 170.87/25.78 | | | | | | | | | | | | | | REDUCE: (662), (1579) imply:
% 170.87/25.78 | | | | | | | | | | | | | | (1603) op(all_22_1, e3) = all_65_28
% 170.87/25.78 | | | | | | | | | | | | | |
% 170.87/25.79 | | | | | | | | | | | | | | REDUCE: (663), (1579) imply:
% 170.87/25.79 | | | | | | | | | | | | | | (1604) op(all_22_1, e2) = all_65_29
% 170.87/25.79 | | | | | | | | | | | | | |
% 170.87/25.79 | | | | | | | | | | | | | | REDUCE: (664), (1579) imply:
% 170.87/25.79 | | | | | | | | | | | | | | (1605) op(all_22_1, e1) = all_65_30
% 170.87/25.79 | | | | | | | | | | | | | |
% 170.87/25.79 | | | | | | | | | | | | | | REDUCE: (665), (1579) imply:
% 170.87/25.79 | | | | | | | | | | | | | | (1606) op(all_22_1, e0) = all_65_31
% 170.87/25.79 | | | | | | | | | | | | | |
% 170.87/25.79 | | | | | | | | | | | | | | REDUCE: (711), (1591) imply:
% 170.87/25.79 | | | | | | | | | | | | | | (1607) op(e3, all_22_1) = all_65_13
% 170.87/25.79 | | | | | | | | | | | | | |
% 170.87/25.79 | | | | | | | | | | | | | | REDUCE: (705), (1579) imply:
% 170.87/25.79 | | | | | | | | | | | | | | (1608) op(e3, all_22_1) = all_65_7
% 170.87/25.79 | | | | | | | | | | | | | |
% 170.87/25.79 | | | | | | | | | | | | | | REDUCE: (745), (1591) imply:
% 170.87/25.79 | | | | | | | | | | | | | | (1609) op(e1, all_22_1) = all_65_45
% 170.87/25.79 | | | | | | | | | | | | | |
% 170.87/25.79 | | | | | | | | | | | | | | REDUCE: (739), (1579) imply:
% 170.87/25.79 | | | | | | | | | | | | | | (1610) op(e1, all_22_1) = all_65_39
% 170.87/25.79 | | | | | | | | | | | | | |
% 170.87/25.79 | | | | | | | | | | | | | | REDUCE: (762), (1591) imply:
% 170.87/25.79 | | | | | | | | | | | | | | (1611) op(e0, all_22_1) = all_65_75
% 170.87/25.79 | | | | | | | | | | | | | |
% 170.87/25.79 | | | | | | | | | | | | | | REDUCE: (756), (1579) imply:
% 170.87/25.79 | | | | | | | | | | | | | | (1612) op(e0, all_22_1) = all_65_63
% 170.87/25.79 | | | | | | | | | | | | | |
% 170.87/25.79 | | | | | | | | | | | | | | REDUCE: (225), (1591) imply:
% 170.87/25.79 | | | | | | | | | | | | | | (1613) op(e0, e2) = all_22_1
% 170.87/25.79 | | | | | | | | | | | | | |
% 170.87/25.79 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_75, all_65_63,
% 170.87/25.79 | | | | | | | | | | | | | | all_22_1, e0, simplifying with (1611), (1612)
% 170.87/25.79 | | | | | | | | | | | | | | gives:
% 170.87/25.79 | | | | | | | | | | | | | | (1614) all_65_63 = all_65_75
% 170.87/25.79 | | | | | | | | | | | | | |
% 170.87/25.79 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_45, all_65_39,
% 170.87/25.79 | | | | | | | | | | | | | | all_22_1, e1, simplifying with (1609), (1610)
% 170.87/25.79 | | | | | | | | | | | | | | gives:
% 170.87/25.79 | | | | | | | | | | | | | | (1615) all_65_39 = all_65_45
% 170.87/25.79 | | | | | | | | | | | | | |
% 170.87/25.79 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_13, all_65_7,
% 170.87/25.79 | | | | | | | | | | | | | | all_22_1, e3, simplifying with (1607), (1608)
% 170.87/25.79 | | | | | | | | | | | | | | gives:
% 170.87/25.79 | | | | | | | | | | | | | | (1616) all_65_7 = all_65_13
% 170.87/25.79 | | | | | | | | | | | | | |
% 170.87/25.79 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_63, all_65_31, e0,
% 170.87/25.79 | | | | | | | | | | | | | | all_22_1, simplifying with (1602), (1606) gives:
% 170.87/25.79 | | | | | | | | | | | | | | (1617) all_65_31 = all_65_63
% 170.87/25.79 | | | | | | | | | | | | | |
% 170.87/25.79 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_61, all_65_30, e1,
% 170.87/25.79 | | | | | | | | | | | | | | all_22_1, simplifying with (1601), (1605) gives:
% 170.87/25.79 | | | | | | | | | | | | | | (1618) all_65_30 = all_65_61
% 170.87/25.79 | | | | | | | | | | | | | |
% 170.87/25.79 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_20_2, all_65_29, e2,
% 170.87/25.79 | | | | | | | | | | | | | | all_22_1, simplifying with (1600), (1604) gives:
% 170.87/25.79 | | | | | | | | | | | | | | (1619) all_65_29 = all_20_2
% 170.87/25.79 | | | | | | | | | | | | | |
% 170.87/25.79 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_57, all_65_28, e3,
% 170.87/25.79 | | | | | | | | | | | | | | all_22_1, simplifying with (1599), (1603) gives:
% 170.87/25.79 | | | | | | | | | | | | | | (1620) all_65_28 = all_65_57
% 170.87/25.79 | | | | | | | | | | | | | |
% 170.87/25.79 | | | | | | | | | | | | | | COMBINE_EQS: (1614), (1617) imply:
% 170.87/25.79 | | | | | | | | | | | | | | (1621) all_65_31 = all_65_75
% 170.87/25.79 | | | | | | | | | | | | | |
% 170.87/25.79 | | | | | | | | | | | | | | REDUCE: (673), (1615) imply:
% 170.87/25.79 | | | | | | | | | | | | | | (1622) op(all_61_6, e0) = all_65_45
% 170.87/25.79 | | | | | | | | | | | | | |
% 170.87/25.79 | | | | | | | | | | | | | | REDUCE: (1602), (1614) imply:
% 170.87/25.79 | | | | | | | | | | | | | | (1623) op(all_22_1, e0) = all_65_75
% 170.87/25.79 | | | | | | | | | | | | | |
% 170.87/25.79 | | | | | | | | | | | | | | REDUCE: (727), (1620) imply:
% 170.87/25.79 | | | | | | | | | | | | | | (1624) op(e2, all_61_3) = all_65_57
% 170.87/25.79 | | | | | | | | | | | | | |
% 170.87/25.79 | | | | | | | | | | | | | | REDUCE: (729), (1618) imply:
% 170.87/25.79 | | | | | | | | | | | | | | (1625) op(e2, all_61_11) = all_65_61
% 170.87/25.79 | | | | | | | | | | | | | |
% 170.87/25.79 | | | | | | | | | | | | | | REDUCE: (730), (1621) imply:
% 170.87/25.79 | | | | | | | | | | | | | | (1626) op(e2, all_20_2) = all_65_75
% 170.87/25.79 | | | | | | | | | | | | | |
% 170.87/25.79 | | | | | | | | | | | | | | BETA: splitting (89) gives:
% 170.87/25.79 | | | | | | | | | | | | | |
% 170.87/25.79 | | | | | | | | | | | | | | Case 1:
% 170.87/25.79 | | | | | | | | | | | | | | |
% 170.87/25.79 | | | | | | | | | | | | | | | (1627) ~ (all_28_2 = e3)
% 170.87/25.79 | | | | | | | | | | | | | | |
% 170.87/25.79 | | | | | | | | | | | | | | | REDUCE: (563), (1627) imply:
% 170.87/25.79 | | | | | | | | | | | | | | | (1628) ~ (all_20_2 = e3)
% 170.87/25.79 | | | | | | | | | | | | | | |
% 170.87/25.79 | | | | | | | | | | | | | | | BETA: splitting (101) gives:
% 170.87/25.79 | | | | | | | | | | | | | | |
% 170.87/25.79 | | | | | | | | | | | | | | | Case 1:
% 170.87/25.79 | | | | | | | | | | | | | | | |
% 170.87/25.79 | | | | | | | | | | | | | | | | (1629) ~ (all_36_2 = e0)
% 170.87/25.79 | | | | | | | | | | | | | | | |
% 170.87/25.79 | | | | | | | | | | | | | | | | REDUCE: (557), (1629) imply:
% 170.87/25.79 | | | | | | | | | | | | | | | | (1630) ~ (all_14_2 = e0)
% 170.87/25.79 | | | | | | | | | | | | | | | |
% 170.87/25.79 | | | | | | | | | | | | | | | | BETA: splitting (107) gives:
% 170.87/25.79 | | | | | | | | | | | | | | | |
% 170.87/25.79 | | | | | | | | | | | | | | | | Case 1:
% 170.87/25.79 | | | | | | | | | | | | | | | | |
% 170.87/25.79 | | | | | | | | | | | | | | | | | (1631) ~ (all_40_2 = e1)
% 170.87/25.79 | | | | | | | | | | | | | | | | |
% 170.87/25.79 | | | | | | | | | | | | | | | | | REDUCE: (553), (1631) imply:
% 170.87/25.79 | | | | | | | | | | | | | | | | | (1632) ~ (all_14_2 = e1)
% 170.87/25.79 | | | | | | | | | | | | | | | | |
% 170.87/25.79 | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (50), (67), (151), (159), (162), (165),
% 170.87/25.79 | | | | | | | | | | | | | | | | | (166), (167), (168), (226), (230), (234), (235),
% 170.87/25.79 | | | | | | | | | | | | | | | | | (236), (237), (271), (475), (478), (481), (484),
% 170.87/25.79 | | | | | | | | | | | | | | | | | (534), (588), (599), (601), (603), (635), (636),
% 170.87/25.79 | | | | | | | | | | | | | | | | | (637), (638), (642), (646), (650), (666), (682),
% 170.87/25.79 | | | | | | | | | | | | | | | | | (698), (714), (715), (731), (732), (748), (749),
% 170.87/25.79 | | | | | | | | | | | | | | | | | (765), (851), (890), (1630), (1632) are
% 170.87/25.79 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #502.
% 170.87/25.79 | | | | | | | | | | | | | | | | |
% 170.87/25.79 | | | | | | | | | | | | | | | | Case 2:
% 170.87/25.79 | | | | | | | | | | | | | | | | |
% 170.87/25.79 | | | | | | | | | | | | | | | | | (1633) all_40_2 = e1
% 170.87/25.79 | | | | | | | | | | | | | | | | | (1634) op(e3, e1) = all_40_1 & $i(all_40_1) & ( ~
% 170.87/25.79 | | | | | | | | | | | | | | | | | (all_40_1 = e0) | ( ~ (all_40_0 = e2) & op(e0,
% 170.87/25.79 | | | | | | | | | | | | | | | | | e3) = all_40_0 & $i(all_40_0)))
% 170.87/25.79 | | | | | | | | | | | | | | | | |
% 170.87/25.79 | | | | | | | | | | | | | | | | | ALPHA: (1634) implies:
% 170.87/25.79 | | | | | | | | | | | | | | | | | (1635) op(e3, e1) = all_40_1
% 170.87/25.79 | | | | | | | | | | | | | | | | | (1636) ~ (all_40_1 = e0) | ( ~ (all_40_0 = e2) & op(e0,
% 170.87/25.79 | | | | | | | | | | | | | | | | | e3) = all_40_0 & $i(all_40_0))
% 170.87/25.79 | | | | | | | | | | | | | | | | |
% 170.87/25.79 | | | | | | | | | | | | | | | | | COMBINE_EQS: (553), (1633) imply:
% 170.87/25.79 | | | | | | | | | | | | | | | | | (1637) all_14_2 = e1
% 170.87/25.79 | | | | | | | | | | | | | | | | |
% 170.87/25.79 | | | | | | | | | | | | | | | | | COMBINE_EQS: (466), (1637) imply:
% 170.87/25.79 | | | | | | | | | | | | | | | | | (1638) all_48_2 = e1
% 170.87/25.79 | | | | | | | | | | | | | | | | |
% 170.87/25.79 | | | | | | | | | | | | | | | | | REDUCE: (593), (1637) imply:
% 170.87/25.79 | | | | | | | | | | | | | | | | | (1639) ~ (all_61_1 = e1)
% 170.87/25.79 | | | | | | | | | | | | | | | | |
% 170.87/25.79 | | | | | | | | | | | | | | | | | REDUCE: (597), (1637) imply:
% 170.87/25.79 | | | | | | | | | | | | | | | | | (1640) ~ (all_61_3 = e1)
% 170.87/25.79 | | | | | | | | | | | | | | | | |
% 170.87/25.79 | | | | | | | | | | | | | | | | | REDUCE: (599), (1637) imply:
% 170.87/25.79 | | | | | | | | | | | | | | | | | (1641) ~ (all_61_4 = e1)
% 170.87/25.79 | | | | | | | | | | | | | | | | |
% 170.87/25.79 | | | | | | | | | | | | | | | | | REDUCE: (634), (1637) imply:
% 170.87/25.79 | | | | | | | | | | | | | | | | | (1642) op(e1, e3) = all_65_0
% 170.87/25.79 | | | | | | | | | | | | | | | | |
% 170.87/25.79 | | | | | | | | | | | | | | | | | REDUCE: (635), (1637) imply:
% 170.87/25.79 | | | | | | | | | | | | | | | | | (1643) op(e1, e2) = all_65_1
% 170.87/25.79 | | | | | | | | | | | | | | | | |
% 170.87/25.79 | | | | | | | | | | | | | | | | | REDUCE: (636), (1637) imply:
% 170.87/25.79 | | | | | | | | | | | | | | | | | (1644) op(e1, e1) = all_65_2
% 170.87/25.79 | | | | | | | | | | | | | | | | |
% 170.87/25.79 | | | | | | | | | | | | | | | | | REDUCE: (637), (1637) imply:
% 170.87/25.79 | | | | | | | | | | | | | | | | | (1645) op(e1, e0) = all_65_3
% 170.87/25.79 | | | | | | | | | | | | | | | | |
% 170.87/25.79 | | | | | | | | | | | | | | | | | REDUCE: (698), (1637) imply:
% 170.87/25.79 | | | | | | | | | | | | | | | | | (1646) op(e3, e1) = all_65_0
% 170.87/25.79 | | | | | | | | | | | | | | | | |
% 170.87/25.79 | | | | | | | | | | | | | | | | | REDUCE: (715), (1637) imply:
% 170.87/25.79 | | | | | | | | | | | | | | | | | (1647) op(e2, e1) = all_65_16
% 170.87/25.79 | | | | | | | | | | | | | | | | |
% 170.87/25.79 | | | | | | | | | | | | | | | | | REDUCE: (732), (1637) imply:
% 170.87/25.79 | | | | | | | | | | | | | | | | | (1648) op(e1, e1) = all_65_32
% 170.87/25.79 | | | | | | | | | | | | | | | | |
% 170.87/25.79 | | | | | | | | | | | | | | | | | REDUCE: (749), (1637) imply:
% 170.87/25.79 | | | | | | | | | | | | | | | | | (1649) op(e0, e1) = all_65_49
% 170.87/25.79 | | | | | | | | | | | | | | | | |
% 170.87/25.79 | | | | | | | | | | | | | | | | | BETA: splitting (119) gives:
% 170.87/25.79 | | | | | | | | | | | | | | | | |
% 170.87/25.79 | | | | | | | | | | | | | | | | | Case 1:
% 170.87/25.79 | | | | | | | | | | | | | | | | | |
% 170.87/25.79 | | | | | | | | | | | | | | | | | | (1650) ~ (all_48_2 = e1)
% 170.87/25.79 | | | | | | | | | | | | | | | | | |
% 170.87/25.79 | | | | | | | | | | | | | | | | | | REDUCE: (1638), (1650) imply:
% 170.87/25.79 | | | | | | | | | | | | | | | | | | (1651) $false
% 170.87/25.79 | | | | | | | | | | | | | | | | | |
% 170.87/25.79 | | | | | | | | | | | | | | | | | | CLOSE: (1651) is inconsistent.
% 170.87/25.79 | | | | | | | | | | | | | | | | | |
% 170.87/25.79 | | | | | | | | | | | | | | | | | Case 2:
% 170.87/25.79 | | | | | | | | | | | | | | | | | |
% 170.87/25.79 | | | | | | | | | | | | | | | | | | (1652) op(e3, e1) = all_48_1 & $i(all_48_1) & ( ~
% 170.87/25.79 | | | | | | | | | | | | | | | | | | (all_48_1 = e2) | ( ~ (all_48_0 = e0) & op(e2,
% 170.87/25.79 | | | | | | | | | | | | | | | | | | e3) = all_48_0 & $i(all_48_0)))
% 170.87/25.79 | | | | | | | | | | | | | | | | | |
% 170.87/25.79 | | | | | | | | | | | | | | | | | | ALPHA: (1652) implies:
% 170.87/25.79 | | | | | | | | | | | | | | | | | | (1653) op(e3, e1) = all_48_1
% 170.87/25.79 | | | | | | | | | | | | | | | | | |
% 170.87/25.79 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_11, all_65_49, e1,
% 170.87/25.79 | | | | | | | | | | | | | | | | | | e0, simplifying with (224), (1649) gives:
% 170.87/25.79 | | | | | | | | | | | | | | | | | | (1654) all_65_49 = all_61_11
% 170.87/25.79 | | | | | | | | | | | | | | | | | |
% 170.87/25.79 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_14, all_65_3, e0,
% 170.87/25.79 | | | | | | | | | | | | | | | | | | e1, simplifying with (227), (1645) gives:
% 170.87/25.79 | | | | | | | | | | | | | | | | | | (1655) all_65_3 = all_61_14
% 170.87/25.79 | | | | | | | | | | | | | | | | | |
% 170.87/25.79 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e1, all_65_2, e1, e1,
% 170.87/25.79 | | | | | | | | | | | | | | | | | | simplifying with (876), (1644) gives:
% 170.87/25.79 | | | | | | | | | | | | | | | | | | (1656) all_65_2 = e1
% 170.87/25.79 | | | | | | | | | | | | | | | | | |
% 170.87/25.79 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_32, all_65_2, e1,
% 170.87/25.79 | | | | | | | | | | | | | | | | | | e1, simplifying with (1644), (1648) gives:
% 170.87/25.79 | | | | | | | | | | | | | | | | | | (1657) all_65_2 = all_65_32
% 170.87/25.79 | | | | | | | | | | | | | | | | | |
% 170.87/25.79 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_6, all_65_1, e2,
% 170.87/25.79 | | | | | | | | | | | | | | | | | | e1, simplifying with (229), (1643) gives:
% 170.87/25.79 | | | | | | | | | | | | | | | | | | (1658) all_65_1 = all_61_6
% 170.87/25.79 | | | | | | | | | | | | | | | | | |
% 170.87/25.79 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_2, all_65_0, e3,
% 170.87/25.79 | | | | | | | | | | | | | | | | | | e1, simplifying with (230), (1642) gives:
% 170.87/25.79 | | | | | | | | | | | | | | | | | | (1659) all_65_0 = all_61_2
% 170.87/25.79 | | | | | | | | | | | | | | | | | |
% 170.87/25.79 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_9, all_65_16, e1,
% 170.87/25.79 | | | | | | | | | | | | | | | | | | e2, simplifying with (232), (1647) gives:
% 170.87/25.79 | | | | | | | | | | | | | | | | | | (1660) all_65_16 = all_61_9
% 170.87/25.79 | | | | | | | | | | | | | | | | | |
% 170.87/25.79 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_8, all_48_1, e1,
% 170.87/25.79 | | | | | | | | | | | | | | | | | | e3, simplifying with (236), (1653) gives:
% 170.87/25.79 | | | | | | | | | | | | | | | | | | (1661) all_61_8 = all_48_1
% 170.87/25.79 | | | | | | | | | | | | | | | | | |
% 170.87/25.79 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_8, all_65_0, e1,
% 170.87/25.79 | | | | | | | | | | | | | | | | | | e3, simplifying with (236), (1646) gives:
% 170.87/25.79 | | | | | | | | | | | | | | | | | | (1662) all_65_0 = all_61_8
% 170.87/25.79 | | | | | | | | | | | | | | | | | |
% 170.87/25.79 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_40_1, all_65_0, e1,
% 170.87/25.79 | | | | | | | | | | | | | | | | | | e3, simplifying with (1635), (1646) gives:
% 170.87/25.79 | | | | | | | | | | | | | | | | | | (1663) all_65_0 = all_40_1
% 170.87/25.79 | | | | | | | | | | | | | | | | | |
% 170.87/25.79 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1659), (1663) imply:
% 170.87/25.79 | | | | | | | | | | | | | | | | | | (1664) all_61_2 = all_40_1
% 170.87/25.79 | | | | | | | | | | | | | | | | | |
% 170.87/25.79 | | | | | | | | | | | | | | | | | | SIMP: (1664) implies:
% 170.87/25.79 | | | | | | | | | | | | | | | | | | (1665) all_61_2 = all_40_1
% 170.87/25.79 | | | | | | | | | | | | | | | | | |
% 170.87/25.79 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1662), (1663) imply:
% 170.87/25.79 | | | | | | | | | | | | | | | | | | (1666) all_61_8 = all_40_1
% 170.87/25.79 | | | | | | | | | | | | | | | | | |
% 170.87/25.79 | | | | | | | | | | | | | | | | | | SIMP: (1666) implies:
% 170.87/25.79 | | | | | | | | | | | | | | | | | | (1667) all_61_8 = all_40_1
% 170.87/25.79 | | | | | | | | | | | | | | | | | |
% 170.87/25.79 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1656), (1657) imply:
% 170.87/25.79 | | | | | | | | | | | | | | | | | | (1668) all_65_32 = e1
% 170.87/25.79 | | | | | | | | | | | | | | | | | |
% 170.87/25.79 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1661), (1667) imply:
% 170.87/25.79 | | | | | | | | | | | | | | | | | | (1669) all_48_1 = all_40_1
% 170.87/25.79 | | | | | | | | | | | | | | | | | |
% 170.87/25.79 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (499), (1665) imply:
% 170.87/25.79 | | | | | | | | | | | | | | | | | | (1670) all_63_8 = all_40_1
% 170.87/25.79 | | | | | | | | | | | | | | | | | |
% 170.87/25.79 | | | | | | | | | | | | | | | | | | REDUCE: (216), (1665) imply:
% 170.87/25.79 | | | | | | | | | | | | | | | | | | (1671) ~ (all_61_1 = all_40_1)
% 170.87/25.79 | | | | | | | | | | | | | | | | | |
% 170.87/25.79 | | | | | | | | | | | | | | | | | | REDUCE: (211), (1665) imply:
% 170.87/25.79 | | | | | | | | | | | | | | | | | | (1672) ~ (all_61_3 = all_40_1)
% 170.87/25.79 | | | | | | | | | | | | | | | | | |
% 170.87/25.79 | | | | | | | | | | | | | | | | | | SIMP: (1672) implies:
% 170.87/25.79 | | | | | | | | | | | | | | | | | | (1673) ~ (all_61_3 = all_40_1)
% 170.87/25.79 | | | | | | | | | | | | | | | | | |
% 170.87/25.79 | | | | | | | | | | | | | | | | | | REDUCE: (201), (1667) imply:
% 170.87/25.79 | | | | | | | | | | | | | | | | | | (1674) ~ (all_61_4 = all_40_1)
% 170.87/25.79 | | | | | | | | | | | | | | | | | |
% 170.87/25.79 | | | | | | | | | | | | | | | | | | REDUCE: (865), (1667) imply:
% 170.87/25.79 | | | | | | | | | | | | | | | | | | (1675) ~ (all_40_1 = e1)
% 170.87/25.79 | | | | | | | | | | | | | | | | | |
% 170.87/25.79 | | | | | | | | | | | | | | | | | | REDUCE: (666), (1665), (1668) imply:
% 170.87/25.79 | | | | | | | | | | | | | | | | | | (1676) op(all_40_1, e3) = e1
% 170.87/25.79 | | | | | | | | | | | | | | | | | |
% 170.87/25.79 | | | | | | | | | | | | | | | | | | REDUCE: (642), (1667) imply:
% 170.87/25.79 | | | | | | | | | | | | | | | | | | (1677) op(all_40_1, e3) = all_65_8
% 170.87/25.79 | | | | | | | | | | | | | | | | | |
% 170.87/25.79 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e1, all_65_8, e3,
% 170.87/25.79 | | | | | | | | | | | | | | | | | | all_40_1, simplifying with (1676), (1677) gives:
% 170.87/25.79 | | | | | | | | | | | | | | | | | | (1678) all_65_8 = e1
% 170.87/25.79 | | | | | | | | | | | | | | | | | |
% 170.87/25.79 | | | | | | | | | | | | | | | | | | BETA: splitting (110) gives:
% 170.87/25.79 | | | | | | | | | | | | | | | | | |
% 170.87/25.79 | | | | | | | | | | | | | | | | | | Case 1:
% 170.87/25.79 | | | | | | | | | | | | | | | | | | |
% 170.87/25.79 | | | | | | | | | | | | | | | | | | | (1679) ~ (all_42_2 = e1)
% 170.87/25.79 | | | | | | | | | | | | | | | | | | |
% 170.87/25.79 | | | | | | | | | | | | | | | | | | | REDUCE: (532), (1679) imply:
% 170.87/25.79 | | | | | | | | | | | | | | | | | | | (1680) ~ (all_20_2 = e1)
% 170.87/25.79 | | | | | | | | | | | | | | | | | | |
% 170.87/25.79 | | | | | | | | | | | | | | | | | | | BETA: splitting (256) gives:
% 170.87/25.79 | | | | | | | | | | | | | | | | | | |
% 170.87/25.79 | | | | | | | | | | | | | | | | | | | Case 1:
% 170.87/25.79 | | | | | | | | | | | | | | | | | | | |
% 170.87/25.79 | | | | | | | | | | | | | | | | | | | | (1681) all_63_15 = e3
% 170.87/25.79 | | | | | | | | | | | | | | | | | | | |
% 170.87/25.79 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (422), (1628), (1681) are inconsistent by
% 170.87/25.79 | | | | | | | | | | | | | | | | | | | | sub-proof #501.
% 170.87/25.79 | | | | | | | | | | | | | | | | | | | |
% 170.87/25.79 | | | | | | | | | | | | | | | | | | | Case 2:
% 170.87/25.79 | | | | | | | | | | | | | | | | | | | |
% 170.87/25.79 | | | | | | | | | | | | | | | | | | | | (1682) all_63_15 = e2 | all_63_15 = e1 | all_63_15 = e0
% 170.87/25.79 | | | | | | | | | | | | | | | | | | | |
% 170.87/25.79 | | | | | | | | | | | | | | | | | | | | BETA: splitting (1682) gives:
% 170.87/25.79 | | | | | | | | | | | | | | | | | | | |
% 170.87/25.79 | | | | | | | | | | | | | | | | | | | | Case 1:
% 170.87/25.79 | | | | | | | | | | | | | | | | | | | | |
% 170.87/25.79 | | | | | | | | | | | | | | | | | | | | | (1683) all_63_15 = e2
% 170.87/25.79 | | | | | | | | | | | | | | | | | | | | |
% 170.87/25.79 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (422), (891), (1683) are inconsistent by sub-proof
% 170.87/25.79 | | | | | | | | | | | | | | | | | | | | | #500.
% 170.87/25.79 | | | | | | | | | | | | | | | | | | | | |
% 170.87/25.79 | | | | | | | | | | | | | | | | | | | | Case 2:
% 170.87/25.79 | | | | | | | | | | | | | | | | | | | | |
% 170.87/25.79 | | | | | | | | | | | | | | | | | | | | | (1684) all_63_15 = e1 | all_63_15 = e0
% 170.87/25.79 | | | | | | | | | | | | | | | | | | | | |
% 170.87/25.79 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1684) gives:
% 170.87/25.79 | | | | | | | | | | | | | | | | | | | | |
% 170.87/25.79 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 170.87/25.79 | | | | | | | | | | | | | | | | | | | | | |
% 170.87/25.79 | | | | | | | | | | | | | | | | | | | | | | (1685) all_63_15 = e1
% 170.87/25.79 | | | | | | | | | | | | | | | | | | | | | |
% 170.87/25.79 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (422), (1680), (1685) are inconsistent by
% 170.87/25.79 | | | | | | | | | | | | | | | | | | | | | | sub-proof #499.
% 170.87/25.79 | | | | | | | | | | | | | | | | | | | | | |
% 170.87/25.79 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 170.87/25.79 | | | | | | | | | | | | | | | | | | | | | |
% 170.87/25.79 | | | | | | | | | | | | | | | | | | | | | | (1686) all_63_15 = e0
% 170.87/25.79 | | | | | | | | | | | | | | | | | | | | | |
% 170.87/25.79 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (422), (1686) imply:
% 170.87/25.79 | | | | | | | | | | | | | | | | | | | | | | (1687) all_20_2 = e0
% 170.87/25.79 | | | | | | | | | | | | | | | | | | | | | |
% 170.87/25.79 | | | | | | | | | | | | | | | | | | | | | | SIMP: (1687) implies:
% 170.87/25.79 | | | | | | | | | | | | | | | | | | | | | | (1688) all_20_2 = e0
% 170.87/25.79 | | | | | | | | | | | | | | | | | | | | | |
% 170.87/25.79 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (606), (1688) imply:
% 170.87/25.79 | | | | | | | | | | | | | | | | | | | | | | (1689) ~ (all_61_3 = e0)
% 170.87/25.79 | | | | | | | | | | | | | | | | | | | | | |
% 170.87/25.79 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (627), (1688) imply:
% 170.87/25.79 | | | | | | | | | | | | | | | | | | | | | | (1690) ~ (all_61_14 = e0)
% 170.87/25.79 | | | | | | | | | | | | | | | | | | | | | |
% 170.87/25.79 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (696), (1688) imply:
% 170.87/25.79 | | | | | | | | | | | | | | | | | | | | | | (1691) op(e0, e1) = all_65_77
% 170.87/25.79 | | | | | | | | | | | | | | | | | | | | | |
% 170.87/25.79 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (747), (1688) imply:
% 170.87/25.79 | | | | | | | | | | | | | | | | | | | | | | (1692) op(e1, e0) = all_65_47
% 170.87/25.79 | | | | | | | | | | | | | | | | | | | | | |
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_11, all_65_77, e1,
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | e0, simplifying with (224), (1691) gives:
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | (1693) all_65_77 = all_61_11
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | |
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_14, all_65_47, e0,
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | e1, simplifying with (227), (1692) gives:
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | (1694) all_65_47 = all_61_14
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | |
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (162) gives:
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | |
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | |
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | | (1695) ~ (all_58_2 = e3)
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | |
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (478), (1695) imply:
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | | (1696) ~ (all_52_2 = e3)
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | |
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (164) gives:
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | |
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | | |
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | | | (1697) ~ (all_58_1 = e1)
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | | |
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (481), (1697) imply:
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | | | (1698) ~ (all_52_1 = e1)
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | | |
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (161) gives:
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | | |
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | | | |
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | | | | (1699) ~ (all_58_2 = e2)
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | | | |
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (478), (1699) imply:
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | | | | (1700) ~ (all_52_2 = e2)
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | | | |
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (50), (149), (160), (224), (227), (475),
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | | | | (478), (538), (680), (748), (765), (868), (876),
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | | | | (886), (1690), (1696), (1700) are inconsistent by
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #493.
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | | | |
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | | | |
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | | | | (1701) all_58_1 = e1
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | | | |
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (481), (1698), (1701) are inconsistent by
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #424.
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | | | |
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | | |
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | | |
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | | | (1702) all_58_1 = e1
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | | |
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (481), (1702) imply:
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | | | (1703) all_52_1 = e1
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | | |
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1703) implies:
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | | | (1704) all_52_1 = e1
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | | |
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (731), (1704) imply:
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | | | (1705) op(e2, e1) = unit
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | | |
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_9, unit, e1, e2,
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (232), (1705) gives:
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | | | (1706) all_61_9 = unit
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | | |
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (213), (1706) imply:
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | | | (1707) ~ (all_61_1 = unit)
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | | |
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (866), (1706) imply:
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | | | (1708) ~ (unit = e1)
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | | |
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1558), (1706) imply:
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | | | (1709) ~ (unit = e0)
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | | |
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (852) gives:
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | | |
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | | | |
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | | | | (1710) unit = e2
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | | | |
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1707), (1710) imply:
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | | | | (1711) ~ (all_61_1 = e2)
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | | | |
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5), (1710) imply:
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | | | | (1712) op(e2, e2) = e2
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | | | |
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (267) gives:
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | | | |
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | | | | | (1713) all_63_4 = e3
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (493), (1713) imply:
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | | | | | (1714) all_61_1 = e3
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (215), (1714) imply:
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | | | | | (1715) ~ (all_61_3 = e3)
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1715) implies:
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | | | | | (1716) ~ (all_61_3 = e3)
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1671), (1714) imply:
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | | | | | (1717) ~ (all_40_1 = e3)
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1717) implies:
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | | | | | (1718) ~ (all_40_1 = e3)
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (753), (1714) imply:
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | | | | | (1719) op(e0, e3) = all_65_57
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (263) gives:
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1720) all_63_8 = e3
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1670), (1720) imply:
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1721) all_40_1 = e3
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1718), (1721) imply:
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1722) $false
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1722) is inconsistent.
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1723) all_63_8 = e2 | all_63_8 = e1 | all_63_8 = e0
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (259) gives:
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1724) all_63_12 = e3
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (506), (1716), (1724) are inconsistent by
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #423.
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1725) all_63_12 = e2 | all_63_12 = e1 | all_63_12 = e0
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1725) gives:
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1726) all_63_12 = e2
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (506), (1726) imply:
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1727) all_61_3 = e2
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1727) implies:
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1728) all_61_3 = e2
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1673), (1728) imply:
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1729) ~ (all_40_1 = e2)
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1729) implies:
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1730) ~ (all_40_1 = e2)
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1624), (1728) imply:
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1731) op(e2, e2) = all_65_57
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1636) gives:
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1732) ~ (all_40_1 = e0)
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1670), (1675), (1723), (1730), (1732) are
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #487.
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1733) ~ (all_40_0 = e2) & op(e0, e3) = all_40_0 &
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_40_0)
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1733) implies:
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1734) ~ (all_40_0 = e2)
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1735) op(e0, e3) = all_40_0
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (50), (1712), (1719), (1731), (1734), (1735) are
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #422.
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1736) all_63_12 = e1 | all_63_12 = e0
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (506), (1640), (1689), (1736) are inconsistent by
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #420.
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | | | | | (1737) all_63_4 = e2 | all_63_4 = e1 | all_63_4 = e0
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (493), (1555), (1639), (1711), (1737) are
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #471.
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | | | |
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | | | |
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | | | | (1738) unit = e1 | unit = e0
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | | | |
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1708), (1709), (1738) are inconsistent by
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #419.
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | | | |
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | | |
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | |
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | |
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | | (1739) all_58_2 = e3
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | | (1740) all_58_0 = e1
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | |
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (50), (478), (484), (629), (714), (1635),
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | | (1676), (1739), (1740) are inconsistent by
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #483.
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | |
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | | End of split
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | |
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | | End of split
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | |
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | End of split
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | |
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | End of split
% 170.87/25.80 | | | | | | | | | | | | | | | | | | |
% 170.87/25.80 | | | | | | | | | | | | | | | | | | Case 2:
% 170.87/25.80 | | | | | | | | | | | | | | | | | | |
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | (1741) all_42_2 = e1
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | (1742) op(e0, e1) = all_42_1 & $i(all_42_1) & ( ~
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | (all_42_1 = e3) | ( ~ (all_42_0 = e2) & op(e3,
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | e0) = all_42_0 & $i(all_42_0)))
% 170.87/25.80 | | | | | | | | | | | | | | | | | | |
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | ALPHA: (1742) implies:
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | (1743) op(e0, e1) = all_42_1
% 170.87/25.80 | | | | | | | | | | | | | | | | | | |
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (532), (1741) imply:
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | (1744) all_20_2 = e1
% 170.87/25.80 | | | | | | | | | | | | | | | | | | |
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | SIMP: (1744) implies:
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | (1745) all_20_2 = e1
% 170.87/25.80 | | | | | | | | | | | | | | | | | | |
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (582), (1745) imply:
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | (1746) all_50_2 = e1
% 170.87/25.80 | | | | | | | | | | | | | | | | | | |
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | REDUCE: (1597), (1745) imply:
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | (1747) ~ (all_22_1 = e1)
% 170.87/25.80 | | | | | | | | | | | | | | | | | | |
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | REDUCE: (695), (1745) imply:
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | (1748) op(e1, e2) = all_65_75
% 170.87/25.80 | | | | | | | | | | | | | | | | | | |
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | REDUCE: (696), (1745) imply:
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | (1749) op(e1, e1) = all_65_77
% 170.87/25.80 | | | | | | | | | | | | | | | | | | |
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | REDUCE: (697), (1745) imply:
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | (1750) op(e1, e0) = all_65_78
% 170.87/25.80 | | | | | | | | | | | | | | | | | | |
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | REDUCE: (713), (1745) imply:
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | (1751) op(e3, e1) = all_65_15
% 170.87/25.80 | | | | | | | | | | | | | | | | | | |
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | REDUCE: (1626), (1745) imply:
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | (1752) op(e2, e1) = all_65_75
% 170.87/25.80 | | | | | | | | | | | | | | | | | | |
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | REDUCE: (747), (1745) imply:
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | (1753) op(e1, e1) = all_65_47
% 170.87/25.80 | | | | | | | | | | | | | | | | | | |
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | REDUCE: (764), (1745) imply:
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | (1754) op(e0, e1) = all_65_78
% 170.87/25.80 | | | | | | | | | | | | | | | | | | |
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | BETA: splitting (122) gives:
% 170.87/25.80 | | | | | | | | | | | | | | | | | | |
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | Case 1:
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | |
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | (1755) ~ (all_50_2 = e1)
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | |
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | REDUCE: (1746), (1755) imply:
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | (1756) $false
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | |
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | CLOSE: (1756) is inconsistent.
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | |
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | Case 2:
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | |
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | (1757) op(e0, e1) = all_50_1 & $i(all_50_1) & ( ~
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | (all_50_1 = e2) | ( ~ (all_50_0 = e3) & op(e2,
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | e0) = all_50_0 & $i(all_50_0)))
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | |
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | ALPHA: (1757) implies:
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | (1758) op(e0, e1) = all_50_1
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | |
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_11, all_42_1, e1,
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | e0, simplifying with (224), (1743) gives:
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | (1759) all_61_11 = all_42_1
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | |
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_11, all_50_1, e1,
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | e0, simplifying with (224), (1758) gives:
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | (1760) all_61_11 = all_50_1
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | |
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_11, all_65_78, e1,
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | e0, simplifying with (224), (1754) gives:
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | (1761) all_65_78 = all_61_11
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | |
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_14, all_65_78, e0,
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | e1, simplifying with (227), (1750) gives:
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | (1762) all_65_78 = all_61_14
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | |
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e1, all_65_47, e1, e1,
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | simplifying with (876), (1753) gives:
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | (1763) all_65_47 = e1
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | |
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_77, all_65_47, e1,
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | e1, simplifying with (1749), (1753) gives:
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | (1764) all_65_47 = all_65_77
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | |
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_6, all_65_75, e2,
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | e1, simplifying with (229), (1748) gives:
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | (1765) all_65_75 = all_61_6
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | |
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_9, all_65_75, e1,
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | e2, simplifying with (232), (1752) gives:
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | | (1766) all_65_75 = all_61_9
% 170.87/25.80 | | | | | | | | | | | | | | | | | | | |
% 170.87/25.81 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_40_1, all_65_15, e1,
% 170.87/25.81 | | | | | | | | | | | | | | | | | | | | e3, simplifying with (1635), (1751) gives:
% 170.87/25.81 | | | | | | | | | | | | | | | | | | | | (1767) all_65_15 = all_40_1
% 170.87/25.81 | | | | | | | | | | | | | | | | | | | |
% 170.87/25.81 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1763), (1764) imply:
% 170.87/25.81 | | | | | | | | | | | | | | | | | | | | (1768) all_65_77 = e1
% 170.87/25.81 | | | | | | | | | | | | | | | | | | | |
% 170.87/25.81 | | | | | | | | | | | | | | | | | | | | SIMP: (1768) implies:
% 170.87/25.81 | | | | | | | | | | | | | | | | | | | | (1769) all_65_77 = e1
% 170.87/25.81 | | | | | | | | | | | | | | | | | | | |
% 170.87/25.81 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1765), (1766) imply:
% 170.87/25.81 | | | | | | | | | | | | | | | | | | | | (1770) all_61_6 = all_61_9
% 170.87/25.81 | | | | | | | | | | | | | | | | | | | |
% 170.87/25.81 | | | | | | | | | | | | | | | | | | | | SIMP: (1770) implies:
% 170.87/25.81 | | | | | | | | | | | | | | | | | | | | (1771) all_61_6 = all_61_9
% 170.87/25.81 | | | | | | | | | | | | | | | | | | | |
% 170.87/25.81 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1761), (1762) imply:
% 170.87/25.81 | | | | | | | | | | | | | | | | | | | | (1772) all_61_11 = all_61_14
% 170.87/25.81 | | | | | | | | | | | | | | | | | | | |
% 170.87/25.81 | | | | | | | | | | | | | | | | | | | | SIMP: (1772) implies:
% 170.87/25.81 | | | | | | | | | | | | | | | | | | | | (1773) all_61_11 = all_61_14
% 170.87/25.81 | | | | | | | | | | | | | | | | | | | |
% 170.87/25.81 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1759), (1773) imply:
% 170.87/25.81 | | | | | | | | | | | | | | | | | | | | (1774) all_61_14 = all_42_1
% 170.87/25.81 | | | | | | | | | | | | | | | | | | | |
% 170.87/25.81 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1760), (1773) imply:
% 170.87/25.81 | | | | | | | | | | | | | | | | | | | | (1775) all_61_14 = all_50_1
% 170.87/25.81 | | | | | | | | | | | | | | | | | | | |
% 170.87/25.81 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1774), (1775) imply:
% 170.87/25.81 | | | | | | | | | | | | | | | | | | | | (1776) all_50_1 = all_42_1
% 170.97/25.81 | | | | | | | | | | | | | | | | | | | |
% 170.97/25.81 | | | | | | | | | | | | | | | | | | | | REDUCE: (203), (1771) imply:
% 170.97/25.81 | | | | | | | | | | | | | | | | | | | | (1777) ~ (all_61_4 = all_61_9)
% 170.97/25.81 | | | | | | | | | | | | | | | | | | | |
% 170.97/25.81 | | | | | | | | | | | | | | | | | | | | REDUCE: (693), (1759) imply:
% 170.97/25.81 | | | | | | | | | | | | | | | | | | | | (1778) op(all_42_1, e0) = all_65_71
% 170.97/25.81 | | | | | | | | | | | | | | | | | | | |
% 170.97/25.81 | | | | | | | | | | | | | | | | | | | | REDUCE: (681), (1763), (1774) imply:
% 170.97/25.81 | | | | | | | | | | | | | | | | | | | | (1779) op(all_42_1, e0) = e1
% 170.97/25.81 | | | | | | | | | | | | | | | | | | | |
% 170.97/25.81 | | | | | | | | | | | | | | | | | | | | REDUCE: (227), (1774) imply:
% 170.97/25.81 | | | | | | | | | | | | | | | | | | | | (1780) op(e1, e0) = all_42_1
% 170.97/25.81 | | | | | | | | | | | | | | | | | | | |
% 170.97/25.81 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e1, all_65_71, e0,
% 170.97/25.81 | | | | | | | | | | | | | | | | | | | | all_42_1, simplifying with (1778), (1779) gives:
% 170.97/25.81 | | | | | | | | | | | | | | | | | | | | (1781) all_65_71 = e1
% 170.97/25.81 | | | | | | | | | | | | | | | | | | | |
% 170.97/25.81 | | | | | | | | | | | | | | | | | | | | BETA: splitting (161) gives:
% 170.97/25.81 | | | | | | | | | | | | | | | | | | | |
% 170.97/25.81 | | | | | | | | | | | | | | | | | | | | Case 1:
% 170.97/25.81 | | | | | | | | | | | | | | | | | | | | |
% 170.97/25.81 | | | | | | | | | | | | | | | | | | | | | (1782) ~ (all_58_2 = e2)
% 170.97/25.81 | | | | | | | | | | | | | | | | | | | | |
% 170.97/25.81 | | | | | | | | | | | | | | | | | | | | | REDUCE: (478), (1782) imply:
% 170.97/25.81 | | | | | | | | | | | | | | | | | | | | | (1783) ~ (all_52_2 = e2)
% 170.97/25.81 | | | | | | | | | | | | | | | | | | | | |
% 170.97/25.81 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (160) gives:
% 170.97/25.81 | | | | | | | | | | | | | | | | | | | | |
% 170.97/25.81 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 170.97/25.81 | | | | | | | | | | | | | | | | | | | | | |
% 170.97/25.81 | | | | | | | | | | | | | | | | | | | | | | (1784) ~ (all_58_2 = e0)
% 170.97/25.81 | | | | | | | | | | | | | | | | | | | | | |
% 170.97/25.81 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (478), (1784) imply:
% 170.97/25.81 | | | | | | | | | | | | | | | | | | | | | | (1785) ~ (all_52_2 = e0)
% 170.97/25.81 | | | | | | | | | | | | | | | | | | | | | |
% 170.97/25.81 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (10), (50), (149), (162), (232), (270),
% 170.97/25.81 | | | | | | | | | | | | | | | | | | | | | | (478), (484), (488), (538), (629), (714), (748),
% 170.97/25.81 | | | | | | | | | | | | | | | | | | | | | | (876), (1556), (1635), (1641), (1674), (1676),
% 170.97/25.81 | | | | | | | | | | | | | | | | | | | | | | (1777), (1783), (1785) are inconsistent by
% 170.97/25.81 | | | | | | | | | | | | | | | | | | | | | | sub-proof #417.
% 170.97/25.81 | | | | | | | | | | | | | | | | | | | | | |
% 170.97/25.81 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 170.97/25.81 | | | | | | | | | | | | | | | | | | | | | |
% 170.97/25.81 | | | | | | | | | | | | | | | | | | | | | | (1786) all_58_3 = e1
% 170.97/25.81 | | | | | | | | | | | | | | | | | | | | | | (1787) all_58_2 = e0
% 170.97/25.81 | | | | | | | | | | | | | | | | | | | | | |
% 170.97/25.81 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (478), (1787) imply:
% 170.97/25.81 | | | | | | | | | | | | | | | | | | | | | | (1788) all_52_2 = e0
% 170.97/25.81 | | | | | | | | | | | | | | | | | | | | | |
% 170.97/25.81 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (475), (1786) imply:
% 170.97/25.81 | | | | | | | | | | | | | | | | | | | | | | (1789) all_52_3 = e1
% 170.97/25.81 | | | | | | | | | | | | | | | | | | | | | |
% 170.97/25.81 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (50), (633), (748), (1779), (1780), (1788),
% 170.97/25.81 | | | | | | | | | | | | | | | | | | | | | | (1789) are inconsistent by sub-proof #477.
% 170.97/25.81 | | | | | | | | | | | | | | | | | | | | | |
% 170.97/25.81 | | | | | | | | | | | | | | | | | | | | | End of split
% 170.97/25.81 | | | | | | | | | | | | | | | | | | | | |
% 170.97/25.81 | | | | | | | | | | | | | | | | | | | | Case 2:
% 170.97/25.81 | | | | | | | | | | | | | | | | | | | | |
% 170.97/25.81 | | | | | | | | | | | | | | | | | | | | | (1790) all_58_1 = e1
% 170.97/25.81 | | | | | | | | | | | | | | | | | | | | |
% 170.97/25.81 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (481), (1790) imply:
% 170.97/25.81 | | | | | | | | | | | | | | | | | | | | | (1791) all_52_1 = e1
% 170.97/25.81 | | | | | | | | | | | | | | | | | | | | |
% 170.97/25.81 | | | | | | | | | | | | | | | | | | | | | SIMP: (1791) implies:
% 170.97/25.81 | | | | | | | | | | | | | | | | | | | | | (1792) all_52_1 = e1
% 170.97/25.81 | | | | | | | | | | | | | | | | | | | | |
% 170.97/25.81 | | | | | | | | | | | | | | | | | | | | | REDUCE: (731), (1792) imply:
% 170.97/25.81 | | | | | | | | | | | | | | | | | | | | | (1793) op(e2, e1) = unit
% 170.97/25.81 | | | | | | | | | | | | | | | | | | | | |
% 170.97/25.81 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_9, unit, e1, e2,
% 170.97/25.81 | | | | | | | | | | | | | | | | | | | | | simplifying with (232), (1793) gives:
% 170.97/25.81 | | | | | | | | | | | | | | | | | | | | | (1794) all_61_9 = unit
% 170.97/25.81 | | | | | | | | | | | | | | | | | | | | |
% 170.97/25.81 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (497), (1794) imply:
% 170.97/25.81 | | | | | | | | | | | | | | | | | | | | | (1795) all_63_6 = unit
% 170.97/25.81 | | | | | | | | | | | | | | | | | | | | |
% 170.97/25.81 | | | | | | | | | | | | | | | | | | | | | REDUCE: (1596), (1794) imply:
% 170.97/25.81 | | | | | | | | | | | | | | | | | | | | | (1796) ~ (all_22_1 = unit)
% 170.97/25.81 | | | | | | | | | | | | | | | | | | | | |
% 170.97/25.81 | | | | | | | | | | | | | | | | | | | | | SIMP: (1796) implies:
% 170.97/25.81 | | | | | | | | | | | | | | | | | | | | | (1797) ~ (all_22_1 = unit)
% 170.97/25.81 | | | | | | | | | | | | | | | | | | | | |
% 170.97/25.81 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (265) gives:
% 170.97/25.81 | | | | | | | | | | | | | | | | | | | | |
% 170.97/25.81 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 170.97/25.81 | | | | | | | | | | | | | | | | | | | | | |
% 170.97/25.81 | | | | | | | | | | | | | | | | | | | | | | (1798) all_63_6 = e3
% 170.97/25.81 | | | | | | | | | | | | | | | | | | | | | |
% 170.97/25.81 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1795), (1798) imply:
% 170.97/25.81 | | | | | | | | | | | | | | | | | | | | | | (1799) unit = e3
% 170.97/25.81 | | | | | | | | | | | | | | | | | | | | | |
% 170.97/25.81 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (851), (1799) imply:
% 170.97/25.81 | | | | | | | | | | | | | | | | | | | | | | (1800) $false
% 170.97/25.81 | | | | | | | | | | | | | | | | | | | | | |
% 170.97/25.81 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1800) is inconsistent.
% 170.97/25.81 | | | | | | | | | | | | | | | | | | | | | |
% 170.97/25.81 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 170.97/25.81 | | | | | | | | | | | | | | | | | | | | | |
% 170.97/25.81 | | | | | | | | | | | | | | | | | | | | | | (1801) all_63_6 = e2 | all_63_6 = e1 | all_63_6 = e0
% 170.97/25.81 | | | | | | | | | | | | | | | | | | | | | |
% 170.97/25.81 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1801) gives:
% 170.97/25.81 | | | | | | | | | | | | | | | | | | | | | |
% 170.97/25.81 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 170.97/25.81 | | | | | | | | | | | | | | | | | | | | | | |
% 170.97/25.81 | | | | | | | | | | | | | | | | | | | | | | | (1802) all_63_6 = e2
% 170.97/25.81 | | | | | | | | | | | | | | | | | | | | | | |
% 170.97/25.81 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1795), (1802) imply:
% 170.97/25.81 | | | | | | | | | | | | | | | | | | | | | | | (1803) unit = e2
% 170.97/25.81 | | | | | | | | | | | | | | | | | | | | | | |
% 170.97/25.81 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1797), (1803) imply:
% 170.97/25.81 | | | | | | | | | | | | | | | | | | | | | | | (1804) ~ (all_22_1 = e2)
% 170.97/25.81 | | | | | | | | | | | | | | | | | | | | | | |
% 170.97/25.81 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (267) gives:
% 170.97/25.81 | | | | | | | | | | | | | | | | | | | | | | |
% 170.97/25.81 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 170.97/25.81 | | | | | | | | | | | | | | | | | | | | | | | |
% 170.97/25.81 | | | | | | | | | | | | | | | | | | | | | | | | (1805) all_63_4 = e3
% 170.97/25.81 | | | | | | | | | | | | | | | | | | | | | | | |
% 170.97/25.81 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (493), (1805) imply:
% 170.97/25.81 | | | | | | | | | | | | | | | | | | | | | | | | (1806) all_61_1 = e3
% 170.97/25.81 | | | | | | | | | | | | | | | | | | | | | | | |
% 170.97/25.81 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1594), (1806) imply:
% 170.97/25.81 | | | | | | | | | | | | | | | | | | | | | | | | (1807) ~ (all_22_1 = e3)
% 170.97/25.81 | | | | | | | | | | | | | | | | | | | | | | | |
% 170.97/25.81 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1807) implies:
% 170.97/25.81 | | | | | | | | | | | | | | | | | | | | | | | | (1808) ~ (all_22_1 = e3)
% 170.97/25.81 | | | | | | | | | | | | | | | | | | | | | | | |
% 170.97/25.81 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (258), (1592), (1598), (1747), (1804), (1808) are
% 170.97/25.81 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #414.
% 170.97/25.81 | | | | | | | | | | | | | | | | | | | | | | | |
% 170.97/25.81 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 170.97/25.81 | | | | | | | | | | | | | | | | | | | | | | | |
% 170.97/25.81 | | | | | | | | | | | | | | | | | | | | | | | | (1809) all_63_4 = e2 | all_63_4 = e1 | all_63_4 = e0
% 170.97/25.81 | | | | | | | | | | | | | | | | | | | | | | | |
% 170.97/25.81 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (213), (493), (497), (866), (1555), (1558),
% 170.97/25.81 | | | | | | | | | | | | | | | | | | | | | | | | (1639), (1801), (1809) are inconsistent by
% 170.97/25.81 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #409.
% 170.97/25.81 | | | | | | | | | | | | | | | | | | | | | | | |
% 170.97/25.81 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 170.97/25.81 | | | | | | | | | | | | | | | | | | | | | | |
% 170.97/25.81 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 170.97/25.81 | | | | | | | | | | | | | | | | | | | | | | |
% 170.97/25.81 | | | | | | | | | | | | | | | | | | | | | | | (1810) all_63_6 = e1 | all_63_6 = e0
% 170.97/25.81 | | | | | | | | | | | | | | | | | | | | | | |
% 170.97/25.81 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (497), (866), (1558), (1810) are inconsistent by
% 170.97/25.81 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #408.
% 170.97/25.81 | | | | | | | | | | | | | | | | | | | | | | |
% 170.97/25.81 | | | | | | | | | | | | | | | | | | | | | | End of split
% 170.97/25.81 | | | | | | | | | | | | | | | | | | | | | |
% 170.97/25.81 | | | | | | | | | | | | | | | | | | | | | End of split
% 170.97/25.81 | | | | | | | | | | | | | | | | | | | | |
% 170.97/25.81 | | | | | | | | | | | | | | | | | | | | End of split
% 170.97/25.81 | | | | | | | | | | | | | | | | | | | |
% 170.97/25.81 | | | | | | | | | | | | | | | | | | | End of split
% 170.97/25.81 | | | | | | | | | | | | | | | | | | |
% 170.97/25.81 | | | | | | | | | | | | | | | | | | End of split
% 170.97/25.81 | | | | | | | | | | | | | | | | | |
% 170.97/25.81 | | | | | | | | | | | | | | | | | End of split
% 170.97/25.81 | | | | | | | | | | | | | | | | |
% 170.97/25.81 | | | | | | | | | | | | | | | | End of split
% 170.97/25.81 | | | | | | | | | | | | | | | |
% 170.97/25.81 | | | | | | | | | | | | | | | Case 2:
% 170.97/25.81 | | | | | | | | | | | | | | | |
% 170.97/25.81 | | | | | | | | | | | | | | | | (1811) all_36_2 = e0
% 170.97/25.81 | | | | | | | | | | | | | | | | (1812) op(e3, e0) = all_36_1 & $i(all_36_1) & ( ~
% 170.97/25.81 | | | | | | | | | | | | | | | | (all_36_1 = e2) | ( ~ (all_36_0 = e1) & op(e2,
% 170.97/25.81 | | | | | | | | | | | | | | | | e3) = all_36_0 & $i(all_36_0)))
% 170.97/25.81 | | | | | | | | | | | | | | | |
% 170.97/25.81 | | | | | | | | | | | | | | | | ALPHA: (1812) implies:
% 170.97/25.81 | | | | | | | | | | | | | | | | (1813) op(e3, e0) = all_36_1
% 170.97/25.81 | | | | | | | | | | | | | | | | (1814) ~ (all_36_1 = e2) | ( ~ (all_36_0 = e1) & op(e2,
% 170.97/25.81 | | | | | | | | | | | | | | | | e3) = all_36_0 & $i(all_36_0))
% 170.97/25.81 | | | | | | | | | | | | | | | |
% 170.97/25.81 | | | | | | | | | | | | | | | | COMBINE_EQS: (557), (1811) imply:
% 170.97/25.81 | | | | | | | | | | | | | | | | (1815) all_14_2 = e0
% 170.97/25.81 | | | | | | | | | | | | | | | |
% 170.97/25.81 | | | | | | | | | | | | | | | | COMBINE_EQS: (549), (1815) imply:
% 170.97/25.81 | | | | | | | | | | | | | | | | (1816) all_44_2 = e0
% 170.97/25.81 | | | | | | | | | | | | | | | |
% 170.97/25.81 | | | | | | | | | | | | | | | | REDUCE: (595), (1815) imply:
% 170.97/25.81 | | | | | | | | | | | | | | | | (1817) ~ (all_61_2 = e0)
% 170.97/25.81 | | | | | | | | | | | | | | | |
% 170.97/25.81 | | | | | | | | | | | | | | | | REDUCE: (603), (1815) imply:
% 170.97/25.81 | | | | | | | | | | | | | | | | (1818) ~ (all_61_12 = e0)
% 170.97/25.81 | | | | | | | | | | | | | | | |
% 170.97/25.81 | | | | | | | | | | | | | | | | REDUCE: (634), (1815) imply:
% 170.97/25.81 | | | | | | | | | | | | | | | | (1819) op(e0, e3) = all_65_0
% 170.97/25.81 | | | | | | | | | | | | | | | |
% 170.97/25.81 | | | | | | | | | | | | | | | | REDUCE: (635), (1815) imply:
% 170.97/25.81 | | | | | | | | | | | | | | | | (1820) op(e0, e2) = all_65_1
% 170.97/25.81 | | | | | | | | | | | | | | | |
% 170.97/25.81 | | | | | | | | | | | | | | | | REDUCE: (636), (1815) imply:
% 170.97/25.81 | | | | | | | | | | | | | | | | (1821) op(e0, e1) = all_65_2
% 170.97/25.81 | | | | | | | | | | | | | | | |
% 170.97/25.81 | | | | | | | | | | | | | | | | REDUCE: (637), (1815) imply:
% 170.97/25.81 | | | | | | | | | | | | | | | | (1822) op(e0, e0) = all_65_3
% 170.97/25.81 | | | | | | | | | | | | | | | |
% 170.97/25.81 | | | | | | | | | | | | | | | | REDUCE: (698), (1815) imply:
% 170.97/25.81 | | | | | | | | | | | | | | | | (1823) op(e3, e0) = all_65_0
% 170.97/25.81 | | | | | | | | | | | | | | | |
% 170.97/25.81 | | | | | | | | | | | | | | | | REDUCE: (67), (1815) imply:
% 170.97/25.81 | | | | | | | | | | | | | | | | (1824) op(e3, e3) = e0
% 170.97/25.81 | | | | | | | | | | | | | | | |
% 170.97/25.81 | | | | | | | | | | | | | | | | REDUCE: (715), (1815) imply:
% 170.97/25.82 | | | | | | | | | | | | | | | | (1825) op(e2, e0) = all_65_16
% 170.97/25.82 | | | | | | | | | | | | | | | |
% 170.97/25.82 | | | | | | | | | | | | | | | | REDUCE: (732), (1815) imply:
% 170.97/25.82 | | | | | | | | | | | | | | | | (1826) op(e1, e0) = all_65_32
% 170.97/25.82 | | | | | | | | | | | | | | | |
% 170.97/25.82 | | | | | | | | | | | | | | | | REDUCE: (749), (1815) imply:
% 170.97/25.82 | | | | | | | | | | | | | | | | (1827) op(e0, e0) = all_65_49
% 170.97/25.82 | | | | | | | | | | | | | | | |
% 170.97/25.82 | | | | | | | | | | | | | | | | BETA: splitting (113) gives:
% 170.97/25.82 | | | | | | | | | | | | | | | |
% 170.97/25.82 | | | | | | | | | | | | | | | | Case 1:
% 170.97/25.82 | | | | | | | | | | | | | | | | |
% 170.97/25.82 | | | | | | | | | | | | | | | | | (1828) ~ (all_44_2 = e0)
% 170.97/25.82 | | | | | | | | | | | | | | | | |
% 170.97/25.82 | | | | | | | | | | | | | | | | | REDUCE: (1816), (1828) imply:
% 170.97/25.82 | | | | | | | | | | | | | | | | | (1829) $false
% 170.97/25.82 | | | | | | | | | | | | | | | | |
% 170.97/25.82 | | | | | | | | | | | | | | | | | CLOSE: (1829) is inconsistent.
% 170.97/25.82 | | | | | | | | | | | | | | | | |
% 170.97/25.82 | | | | | | | | | | | | | | | | Case 2:
% 170.97/25.82 | | | | | | | | | | | | | | | | |
% 170.97/25.82 | | | | | | | | | | | | | | | | | (1830) op(e3, e0) = all_44_1 & $i(all_44_1) & ( ~
% 170.97/25.82 | | | | | | | | | | | | | | | | | (all_44_1 = e1) | ( ~ (all_44_0 = e2) & op(e1,
% 170.97/25.82 | | | | | | | | | | | | | | | | | e3) = all_44_0 & $i(all_44_0)))
% 170.97/25.82 | | | | | | | | | | | | | | | | |
% 170.97/25.82 | | | | | | | | | | | | | | | | | ALPHA: (1830) implies:
% 170.97/25.82 | | | | | | | | | | | | | | | | | (1831) op(e3, e0) = all_44_1
% 170.97/25.82 | | | | | | | | | | | | | | | | |
% 170.97/25.82 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_20_2, all_65_3, e0,
% 170.97/25.82 | | | | | | | | | | | | | | | | | e0, simplifying with (76), (1822) gives:
% 170.97/25.82 | | | | | | | | | | | | | | | | | (1832) all_65_3 = all_20_2
% 170.97/25.82 | | | | | | | | | | | | | | | | |
% 170.97/25.82 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_49, all_65_3, e0,
% 170.97/25.82 | | | | | | | | | | | | | | | | | e0, simplifying with (1822), (1827) gives:
% 170.97/25.82 | | | | | | | | | | | | | | | | | (1833) all_65_3 = all_65_49
% 170.97/25.82 | | | | | | | | | | | | | | | | |
% 170.97/25.82 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_11, all_65_2, e1,
% 170.97/25.82 | | | | | | | | | | | | | | | | | e0, simplifying with (224), (1821) gives:
% 170.97/25.82 | | | | | | | | | | | | | | | | | (1834) all_65_2 = all_61_11
% 170.97/25.82 | | | | | | | | | | | | | | | | |
% 170.97/25.82 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_22_1, all_65_1, e2,
% 170.97/25.82 | | | | | | | | | | | | | | | | | e0, simplifying with (1613), (1820) gives:
% 170.97/25.82 | | | | | | | | | | | | | | | | | (1835) all_65_1 = all_22_1
% 170.97/25.82 | | | | | | | | | | | | | | | | |
% 170.97/25.82 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_3, all_65_0, e3,
% 170.97/25.82 | | | | | | | | | | | | | | | | | e0, simplifying with (226), (1819) gives:
% 170.97/25.82 | | | | | | | | | | | | | | | | | (1836) all_65_0 = all_61_3
% 170.97/25.82 | | | | | | | | | | | | | | | | |
% 170.97/25.82 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_14, all_65_32, e0,
% 170.97/25.82 | | | | | | | | | | | | | | | | | e1, simplifying with (227), (1826) gives:
% 170.97/25.82 | | | | | | | | | | | | | | | | | (1837) all_65_32 = all_61_14
% 170.97/25.82 | | | | | | | | | | | | | | | | |
% 170.97/25.82 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_22_1, all_65_16, e0,
% 170.97/25.82 | | | | | | | | | | | | | | | | | e2, simplifying with (1552), (1825) gives:
% 170.97/25.82 | | | | | | | | | | | | | | | | | (1838) all_65_16 = all_22_1
% 170.97/25.82 | | | | | | | | | | | | | | | | |
% 170.97/25.82 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_12, all_44_1, e0,
% 170.97/25.82 | | | | | | | | | | | | | | | | | e3, simplifying with (235), (1831) gives:
% 170.97/25.82 | | | | | | | | | | | | | | | | | (1839) all_61_12 = all_44_1
% 170.97/25.82 | | | | | | | | | | | | | | | | |
% 170.97/25.82 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_12, all_65_0, e0,
% 170.97/25.82 | | | | | | | | | | | | | | | | | e3, simplifying with (235), (1823) gives:
% 170.97/25.82 | | | | | | | | | | | | | | | | | (1840) all_65_0 = all_61_12
% 170.97/25.82 | | | | | | | | | | | | | | | | |
% 170.97/25.82 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_36_1, all_65_0, e0,
% 170.97/25.82 | | | | | | | | | | | | | | | | | e3, simplifying with (1813), (1823) gives:
% 170.97/25.82 | | | | | | | | | | | | | | | | | (1841) all_65_0 = all_36_1
% 170.97/25.82 | | | | | | | | | | | | | | | | |
% 170.97/25.82 | | | | | | | | | | | | | | | | | COMBINE_EQS: (1840), (1841) imply:
% 170.97/25.82 | | | | | | | | | | | | | | | | | (1842) all_61_12 = all_36_1
% 170.97/25.82 | | | | | | | | | | | | | | | | |
% 170.97/25.82 | | | | | | | | | | | | | | | | | SIMP: (1842) implies:
% 170.97/25.82 | | | | | | | | | | | | | | | | | (1843) all_61_12 = all_36_1
% 170.97/25.82 | | | | | | | | | | | | | | | | |
% 170.97/25.82 | | | | | | | | | | | | | | | | | COMBINE_EQS: (1836), (1841) imply:
% 170.97/25.82 | | | | | | | | | | | | | | | | | (1844) all_61_3 = all_36_1
% 170.97/25.82 | | | | | | | | | | | | | | | | |
% 170.97/25.82 | | | | | | | | | | | | | | | | | SIMP: (1844) implies:
% 170.97/25.82 | | | | | | | | | | | | | | | | | (1845) all_61_3 = all_36_1
% 170.97/25.82 | | | | | | | | | | | | | | | | |
% 170.97/25.82 | | | | | | | | | | | | | | | | | COMBINE_EQS: (1832), (1833) imply:
% 170.97/25.82 | | | | | | | | | | | | | | | | | (1846) all_65_49 = all_20_2
% 170.97/25.82 | | | | | | | | | | | | | | | | |
% 170.97/25.82 | | | | | | | | | | | | | | | | | COMBINE_EQS: (1839), (1843) imply:
% 170.97/25.82 | | | | | | | | | | | | | | | | | (1847) all_44_1 = all_36_1
% 170.97/25.82 | | | | | | | | | | | | | | | | |
% 170.97/25.82 | | | | | | | | | | | | | | | | | COMBINE_EQS: (506), (1845) imply:
% 170.97/25.82 | | | | | | | | | | | | | | | | | (1848) all_63_12 = all_36_1
% 170.97/25.82 | | | | | | | | | | | | | | | | |
% 170.97/25.82 | | | | | | | | | | | | | | | | | COMBINE_EQS: (491), (1843) imply:
% 170.97/25.82 | | | | | | | | | | | | | | | | | (1849) all_63_3 = all_36_1
% 170.97/25.82 | | | | | | | | | | | | | | | | |
% 170.97/25.82 | | | | | | | | | | | | | | | | | REDUCE: (215), (1845) imply:
% 170.97/25.82 | | | | | | | | | | | | | | | | | (1850) ~ (all_61_1 = all_36_1)
% 170.97/25.82 | | | | | | | | | | | | | | | | |
% 170.97/25.82 | | | | | | | | | | | | | | | | | REDUCE: (211), (1845) imply:
% 170.97/25.82 | | | | | | | | | | | | | | | | | (1851) ~ (all_61_2 = all_36_1)
% 170.97/25.82 | | | | | | | | | | | | | | | | |
% 170.97/25.82 | | | | | | | | | | | | | | | | | REDUCE: (200), (1843) imply:
% 170.97/25.82 | | | | | | | | | | | | | | | | | (1852) ~ (all_61_4 = all_36_1)
% 170.97/25.82 | | | | | | | | | | | | | | | | |
% 170.97/25.82 | | | | | | | | | | | | | | | | | REDUCE: (179), (1843) imply:
% 170.97/25.82 | | | | | | | | | | | | | | | | | (1853) ~ (all_61_14 = all_36_1)
% 170.97/25.82 | | | | | | | | | | | | | | | | |
% 170.97/25.82 | | | | | | | | | | | | | | | | | SIMP: (1853) implies:
% 170.97/25.82 | | | | | | | | | | | | | | | | | (1854) ~ (all_61_14 = all_36_1)
% 170.97/25.82 | | | | | | | | | | | | | | | | |
% 170.97/25.82 | | | | | | | | | | | | | | | | | REDUCE: (625), (1843) imply:
% 170.97/25.82 | | | | | | | | | | | | | | | | | (1855) ~ (all_36_1 = all_20_2)
% 170.97/25.82 | | | | | | | | | | | | | | | | |
% 170.97/25.82 | | | | | | | | | | | | | | | | | REDUCE: (1818), (1843) imply:
% 170.97/25.82 | | | | | | | | | | | | | | | | | (1856) ~ (all_36_1 = e0)
% 170.97/25.82 | | | | | | | | | | | | | | | | |
% 170.97/25.82 | | | | | | | | | | | | | | | | | REDUCE: (682), (1845), (1846) imply:
% 170.97/25.82 | | | | | | | | | | | | | | | | | (1857) op(all_36_1, e3) = all_20_2
% 170.97/25.82 | | | | | | | | | | | | | | | | |
% 170.97/25.82 | | | | | | | | | | | | | | | | | REDUCE: (683), (1845) imply:
% 170.97/25.82 | | | | | | | | | | | | | | | | | (1858) op(all_36_1, e2) = all_65_51
% 170.97/25.82 | | | | | | | | | | | | | | | | |
% 170.97/25.82 | | | | | | | | | | | | | | | | | REDUCE: (684), (1845) imply:
% 170.97/25.82 | | | | | | | | | | | | | | | | | (1859) op(all_36_1, e1) = all_65_53
% 170.97/25.82 | | | | | | | | | | | | | | | | |
% 170.97/25.82 | | | | | | | | | | | | | | | | | REDUCE: (685), (1845) imply:
% 170.97/25.82 | | | | | | | | | | | | | | | | | (1860) op(all_36_1, e0) = all_65_55
% 170.97/25.82 | | | | | | | | | | | | | | | | |
% 170.97/25.82 | | | | | | | | | | | | | | | | | REDUCE: (646), (1843) imply:
% 170.97/25.82 | | | | | | | | | | | | | | | | | (1861) op(all_36_1, e3) = all_65_12
% 170.97/25.82 | | | | | | | | | | | | | | | | |
% 170.97/25.82 | | | | | | | | | | | | | | | | | REDUCE: (647), (1843) imply:
% 170.97/25.82 | | | | | | | | | | | | | | | | | (1862) op(all_36_1, e2) = all_65_13
% 170.97/25.82 | | | | | | | | | | | | | | | | |
% 170.97/25.82 | | | | | | | | | | | | | | | | | REDUCE: (648), (1843) imply:
% 170.97/25.82 | | | | | | | | | | | | | | | | | (1863) op(all_36_1, e1) = all_65_14
% 170.97/25.82 | | | | | | | | | | | | | | | | |
% 170.97/25.82 | | | | | | | | | | | | | | | | | REDUCE: (649), (1843) imply:
% 170.97/25.82 | | | | | | | | | | | | | | | | | (1864) op(all_36_1, e0) = all_65_15
% 170.97/25.82 | | | | | | | | | | | | | | | | |
% 170.97/25.82 | | | | | | | | | | | | | | | | | REDUCE: (699), (1835) imply:
% 170.97/25.82 | | | | | | | | | | | | | | | | | (1865) op(e3, all_61_4) = all_22_1
% 170.97/25.82 | | | | | | | | | | | | | | | | |
% 170.97/25.82 | | | | | | | | | | | | | | | | | REDUCE: (744), (1845) imply:
% 170.97/25.82 | | | | | | | | | | | | | | | | | (1866) op(e1, all_36_1) = all_65_44
% 170.97/25.82 | | | | | | | | | | | | | | | | |
% 170.97/25.82 | | | | | | | | | | | | | | | | | REDUCE: (735), (1843) imply:
% 170.97/25.82 | | | | | | | | | | | | | | | | | (1867) op(e1, all_36_1) = all_65_35
% 170.97/25.82 | | | | | | | | | | | | | | | | |
% 170.97/25.82 | | | | | | | | | | | | | | | | | REDUCE: (761), (1845) imply:
% 170.97/25.82 | | | | | | | | | | | | | | | | | (1868) op(e0, all_36_1) = all_65_73
% 170.97/25.82 | | | | | | | | | | | | | | | | |
% 170.97/25.82 | | | | | | | | | | | | | | | | | REDUCE: (752), (1843) imply:
% 170.97/25.82 | | | | | | | | | | | | | | | | | (1869) op(e0, all_36_1) = all_65_55
% 170.97/25.82 | | | | | | | | | | | | | | | | |
% 170.97/25.82 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_73, all_65_55,
% 170.97/25.82 | | | | | | | | | | | | | | | | | all_36_1, e0, simplifying with (1868), (1869)
% 170.97/25.82 | | | | | | | | | | | | | | | | | gives:
% 170.97/25.82 | | | | | | | | | | | | | | | | | (1870) all_65_55 = all_65_73
% 170.97/25.82 | | | | | | | | | | | | | | | | |
% 170.97/25.82 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_44, all_65_35,
% 170.97/25.82 | | | | | | | | | | | | | | | | | all_36_1, e1, simplifying with (1866), (1867)
% 170.97/25.82 | | | | | | | | | | | | | | | | | gives:
% 170.97/25.82 | | | | | | | | | | | | | | | | | (1871) all_65_35 = all_65_44
% 170.97/25.82 | | | | | | | | | | | | | | | | |
% 170.97/25.82 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_55, all_65_15, e0,
% 170.97/25.82 | | | | | | | | | | | | | | | | | all_36_1, simplifying with (1860), (1864) gives:
% 170.97/25.82 | | | | | | | | | | | | | | | | | (1872) all_65_15 = all_65_55
% 170.97/25.82 | | | | | | | | | | | | | | | | |
% 170.97/25.82 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_53, all_65_14, e1,
% 170.97/25.82 | | | | | | | | | | | | | | | | | all_36_1, simplifying with (1859), (1863) gives:
% 170.97/25.82 | | | | | | | | | | | | | | | | | (1873) all_65_14 = all_65_53
% 170.97/25.82 | | | | | | | | | | | | | | | | |
% 170.97/25.82 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_51, all_65_13, e2,
% 170.97/25.82 | | | | | | | | | | | | | | | | | all_36_1, simplifying with (1858), (1862) gives:
% 170.97/25.82 | | | | | | | | | | | | | | | | | (1874) all_65_13 = all_65_51
% 170.97/25.82 | | | | | | | | | | | | | | | | |
% 170.97/25.82 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_20_2, all_65_12, e3,
% 170.97/25.82 | | | | | | | | | | | | | | | | | all_36_1, simplifying with (1857), (1861) gives:
% 170.97/25.82 | | | | | | | | | | | | | | | | | (1875) all_65_12 = all_20_2
% 170.97/25.82 | | | | | | | | | | | | | | | | |
% 170.97/25.82 | | | | | | | | | | | | | | | | | COMBINE_EQS: (1870), (1872) imply:
% 170.97/25.82 | | | | | | | | | | | | | | | | | (1876) all_65_15 = all_65_73
% 170.97/25.82 | | | | | | | | | | | | | | | | |
% 170.97/25.82 | | | | | | | | | | | | | | | | | REDUCE: (669), (1871) imply:
% 170.97/25.82 | | | | | | | | | | | | | | | | | (1877) op(all_61_2, e0) = all_65_44
% 170.97/25.82 | | | | | | | | | | | | | | | | |
% 170.97/25.82 | | | | | | | | | | | | | | | | | REDUCE: (712), (1873) imply:
% 170.97/25.82 | | | | | | | | | | | | | | | | | (1878) op(e3, all_61_11) = all_65_53
% 170.97/25.82 | | | | | | | | | | | | | | | | |
% 170.97/25.82 | | | | | | | | | | | | | | | | | REDUCE: (1607), (1874) imply:
% 170.97/25.82 | | | | | | | | | | | | | | | | | (1879) op(e3, all_22_1) = all_65_51
% 170.97/25.82 | | | | | | | | | | | | | | | | |
% 170.97/25.82 | | | | | | | | | | | | | | | | | REDUCE: (713), (1876) imply:
% 170.97/25.82 | | | | | | | | | | | | | | | | | (1880) op(e3, all_20_2) = all_65_73
% 170.97/25.82 | | | | | | | | | | | | | | | | |
% 170.97/25.82 | | | | | | | | | | | | | | | | | BETA: splitting (110) gives:
% 170.97/25.82 | | | | | | | | | | | | | | | | |
% 170.97/25.82 | | | | | | | | | | | | | | | | | Case 1:
% 170.97/25.82 | | | | | | | | | | | | | | | | | |
% 170.97/25.82 | | | | | | | | | | | | | | | | | | (1881) ~ (all_42_2 = e1)
% 170.97/25.82 | | | | | | | | | | | | | | | | | |
% 170.97/25.82 | | | | | | | | | | | | | | | | | | REDUCE: (532), (1881) imply:
% 170.97/25.82 | | | | | | | | | | | | | | | | | | (1882) ~ (all_20_2 = e1)
% 170.97/25.82 | | | | | | | | | | | | | | | | | |
% 170.97/25.82 | | | | | | | | | | | | | | | | | | BETA: splitting (256) gives:
% 170.97/25.82 | | | | | | | | | | | | | | | | | |
% 171.03/25.82 | | | | | | | | | | | | | | | | | | Case 1:
% 171.03/25.82 | | | | | | | | | | | | | | | | | | |
% 171.03/25.82 | | | | | | | | | | | | | | | | | | | (1883) all_63_15 = e3
% 171.03/25.82 | | | | | | | | | | | | | | | | | | |
% 171.03/25.82 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (422), (1628), (1883) are inconsistent by
% 171.03/25.82 | | | | | | | | | | | | | | | | | | | sub-proof #501.
% 171.03/25.82 | | | | | | | | | | | | | | | | | | |
% 171.03/25.82 | | | | | | | | | | | | | | | | | | Case 2:
% 171.03/25.82 | | | | | | | | | | | | | | | | | | |
% 171.03/25.82 | | | | | | | | | | | | | | | | | | | (1884) all_63_15 = e2 | all_63_15 = e1 | all_63_15 = e0
% 171.03/25.82 | | | | | | | | | | | | | | | | | | |
% 171.03/25.82 | | | | | | | | | | | | | | | | | | | BETA: splitting (1884) gives:
% 171.03/25.82 | | | | | | | | | | | | | | | | | | |
% 171.03/25.82 | | | | | | | | | | | | | | | | | | | Case 1:
% 171.03/25.82 | | | | | | | | | | | | | | | | | | | |
% 171.03/25.82 | | | | | | | | | | | | | | | | | | | | (1885) all_63_15 = e2
% 171.03/25.82 | | | | | | | | | | | | | | | | | | | |
% 171.03/25.82 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (422), (891), (1885) are inconsistent by sub-proof
% 171.03/25.82 | | | | | | | | | | | | | | | | | | | | #500.
% 171.03/25.82 | | | | | | | | | | | | | | | | | | | |
% 171.03/25.82 | | | | | | | | | | | | | | | | | | | Case 2:
% 171.03/25.82 | | | | | | | | | | | | | | | | | | | |
% 171.03/25.82 | | | | | | | | | | | | | | | | | | | | (1886) all_63_15 = e1 | all_63_15 = e0
% 171.03/25.82 | | | | | | | | | | | | | | | | | | | |
% 171.03/25.82 | | | | | | | | | | | | | | | | | | | | BETA: splitting (1886) gives:
% 171.03/25.82 | | | | | | | | | | | | | | | | | | | |
% 171.03/25.82 | | | | | | | | | | | | | | | | | | | | Case 1:
% 171.03/25.82 | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.82 | | | | | | | | | | | | | | | | | | | | | (1887) all_63_15 = e1
% 171.03/25.82 | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.82 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (422), (1882), (1887) are inconsistent by
% 171.03/25.82 | | | | | | | | | | | | | | | | | | | | | sub-proof #499.
% 171.03/25.82 | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.82 | | | | | | | | | | | | | | | | | | | | Case 2:
% 171.03/25.82 | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.82 | | | | | | | | | | | | | | | | | | | | | (1888) all_63_15 = e0
% 171.03/25.82 | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.82 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (422), (1888) imply:
% 171.03/25.82 | | | | | | | | | | | | | | | | | | | | | (1889) all_20_2 = e0
% 171.03/25.82 | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.82 | | | | | | | | | | | | | | | | | | | | | SIMP: (1889) implies:
% 171.03/25.82 | | | | | | | | | | | | | | | | | | | | | (1890) all_20_2 = e0
% 171.03/25.82 | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.82 | | | | | | | | | | | | | | | | | | | | | REDUCE: (1857), (1890) imply:
% 171.03/25.82 | | | | | | | | | | | | | | | | | | | | | (1891) op(all_36_1, e3) = e0
% 171.03/25.82 | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.82 | | | | | | | | | | | | | | | | | | | | | REDUCE: (1600), (1890) imply:
% 171.03/25.82 | | | | | | | | | | | | | | | | | | | | | (1892) op(all_22_1, e2) = e0
% 171.03/25.82 | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.82 | | | | | | | | | | | | | | | | | | | | | REDUCE: (696), (1890) imply:
% 171.03/25.82 | | | | | | | | | | | | | | | | | | | | | (1893) op(e0, e1) = all_65_77
% 171.03/25.82 | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.82 | | | | | | | | | | | | | | | | | | | | | REDUCE: (1880), (1890) imply:
% 171.03/25.82 | | | | | | | | | | | | | | | | | | | | | (1894) op(e3, e0) = all_65_73
% 171.03/25.82 | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.82 | | | | | | | | | | | | | | | | | | | | | REDUCE: (1626), (1890) imply:
% 171.03/25.82 | | | | | | | | | | | | | | | | | | | | | (1895) op(e2, e0) = all_65_75
% 171.03/25.82 | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.82 | | | | | | | | | | | | | | | | | | | | | REDUCE: (747), (1890) imply:
% 171.03/25.82 | | | | | | | | | | | | | | | | | | | | | (1896) op(e1, e0) = all_65_47
% 171.03/25.82 | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.82 | | | | | | | | | | | | | | | | | | | | | REDUCE: (764), (1890) imply:
% 171.03/25.82 | | | | | | | | | | | | | | | | | | | | | (1897) op(e0, e0) = all_65_78
% 171.03/25.82 | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.82 | | | | | | | | | | | | | | | | | | | | | REDUCE: (76), (1890) imply:
% 171.03/25.82 | | | | | | | | | | | | | | | | | | | | | (1898) op(e0, e0) = e0
% 171.03/25.82 | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.82 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e0, all_65_78, e0, e0,
% 171.03/25.82 | | | | | | | | | | | | | | | | | | | | | simplifying with (1897), (1898) gives:
% 171.03/25.82 | | | | | | | | | | | | | | | | | | | | | (1899) all_65_78 = e0
% 171.03/25.82 | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.82 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_11, all_65_77, e1,
% 171.03/25.82 | | | | | | | | | | | | | | | | | | | | | e0, simplifying with (224), (1893) gives:
% 171.03/25.82 | | | | | | | | | | | | | | | | | | | | | (1900) all_65_77 = all_61_11
% 171.03/25.82 | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.82 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_14, all_65_47, e0,
% 171.03/25.82 | | | | | | | | | | | | | | | | | | | | | e1, simplifying with (227), (1896) gives:
% 171.03/25.82 | | | | | | | | | | | | | | | | | | | | | (1901) all_65_47 = all_61_14
% 171.03/25.82 | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.82 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_22_1, all_65_75, e0,
% 171.03/25.82 | | | | | | | | | | | | | | | | | | | | | e2, simplifying with (1552), (1895) gives:
% 171.03/25.82 | | | | | | | | | | | | | | | | | | | | | (1902) all_65_75 = all_22_1
% 171.03/25.82 | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.82 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_36_1, all_65_73, e0,
% 171.03/25.82 | | | | | | | | | | | | | | | | | | | | | e3, simplifying with (1813), (1894) gives:
% 171.03/25.82 | | | | | | | | | | | | | | | | | | | | | (1903) all_65_73 = all_36_1
% 171.03/25.82 | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.82 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (159) gives:
% 171.03/25.82 | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.82 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 171.03/25.82 | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.82 | | | | | | | | | | | | | | | | | | | | | | (1904) ~ (all_58_3 = e3)
% 171.03/25.82 | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.82 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (475), (1904) imply:
% 171.03/25.82 | | | | | | | | | | | | | | | | | | | | | | (1905) ~ (all_52_3 = e3)
% 171.03/25.82 | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.82 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (163) gives:
% 171.03/25.82 | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.82 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 171.03/25.82 | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.82 | | | | | | | | | | | | | | | | | | | | | | | (1906) ~ (all_58_1 = e0)
% 171.03/25.82 | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.82 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (481), (1906) imply:
% 171.03/25.82 | | | | | | | | | | | | | | | | | | | | | | | (1907) ~ (all_52_1 = e0)
% 171.03/25.82 | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.82 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (50), (148), (157), (158), (224), (227),
% 171.03/25.82 | | | | | | | | | | | | | | | | | | | | | | | (475), (478), (481), (539), (680), (748), (765),
% 171.03/25.82 | | | | | | | | | | | | | | | | | | | | | | | (868), (886), (1898), (1905), (1907) are
% 171.03/25.82 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #461.
% 171.03/25.82 | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.82 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 171.03/25.82 | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.82 | | | | | | | | | | | | | | | | | | | | | | | (1908) all_58_3 = e2
% 171.03/25.82 | | | | | | | | | | | | | | | | | | | | | | | (1909) all_58_1 = e0
% 171.03/25.82 | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.82 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (481), (1909) imply:
% 171.03/25.82 | | | | | | | | | | | | | | | | | | | | | | | (1910) all_52_1 = e0
% 171.03/25.82 | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.82 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (475), (1908) imply:
% 171.03/25.82 | | | | | | | | | | | | | | | | | | | | | | | (1911) all_52_3 = e2
% 171.03/25.82 | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.82 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1911) implies:
% 171.03/25.82 | | | | | | | | | | | | | | | | | | | | | | | (1912) all_52_3 = e2
% 171.03/25.82 | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.82 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (50), (632), (731), (1552), (1892), (1910),
% 171.03/25.82 | | | | | | | | | | | | | | | | | | | | | | | (1912) are inconsistent by sub-proof #406.
% 171.03/25.82 | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.82 | | | | | | | | | | | | | | | | | | | | | | End of split
% 171.03/25.82 | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.82 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 171.03/25.82 | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.82 | | | | | | | | | | | | | | | | | | | | | | (1913) all_58_3 = e3
% 171.03/25.82 | | | | | | | | | | | | | | | | | | | | | | (1914) all_58_0 = e0
% 171.03/25.82 | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.82 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (50), (475), (484), (630), (714), (1813),
% 171.03/25.82 | | | | | | | | | | | | | | | | | | | | | | (1891), (1913), (1914) are inconsistent by
% 171.03/25.82 | | | | | | | | | | | | | | | | | | | | | | sub-proof #404.
% 171.03/25.82 | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.82 | | | | | | | | | | | | | | | | | | | | | End of split
% 171.03/25.82 | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.83 | | | | | | | | | | | | | | | | | | | | End of split
% 171.03/25.83 | | | | | | | | | | | | | | | | | | | |
% 171.03/25.83 | | | | | | | | | | | | | | | | | | | End of split
% 171.03/25.83 | | | | | | | | | | | | | | | | | | |
% 171.03/25.83 | | | | | | | | | | | | | | | | | | End of split
% 171.03/25.83 | | | | | | | | | | | | | | | | | |
% 171.03/25.83 | | | | | | | | | | | | | | | | | Case 2:
% 171.03/25.83 | | | | | | | | | | | | | | | | | |
% 171.03/25.83 | | | | | | | | | | | | | | | | | | (1915) all_42_2 = e1
% 171.03/25.83 | | | | | | | | | | | | | | | | | | (1916) op(e0, e1) = all_42_1 & $i(all_42_1) & ( ~
% 171.03/25.83 | | | | | | | | | | | | | | | | | | (all_42_1 = e3) | ( ~ (all_42_0 = e2) & op(e3,
% 171.03/25.83 | | | | | | | | | | | | | | | | | | e0) = all_42_0 & $i(all_42_0)))
% 171.03/25.83 | | | | | | | | | | | | | | | | | |
% 171.03/25.83 | | | | | | | | | | | | | | | | | | ALPHA: (1916) implies:
% 171.03/25.83 | | | | | | | | | | | | | | | | | | (1917) op(e0, e1) = all_42_1
% 171.03/25.83 | | | | | | | | | | | | | | | | | |
% 171.03/25.83 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (532), (1915) imply:
% 171.03/25.83 | | | | | | | | | | | | | | | | | | (1918) all_20_2 = e1
% 171.03/25.83 | | | | | | | | | | | | | | | | | |
% 171.03/25.83 | | | | | | | | | | | | | | | | | | SIMP: (1918) implies:
% 171.03/25.83 | | | | | | | | | | | | | | | | | | (1919) all_20_2 = e1
% 171.03/25.83 | | | | | | | | | | | | | | | | | |
% 171.03/25.83 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (582), (1919) imply:
% 171.03/25.83 | | | | | | | | | | | | | | | | | | (1920) all_50_2 = e1
% 171.03/25.83 | | | | | | | | | | | | | | | | | |
% 171.03/25.83 | | | | | | | | | | | | | | | | | | REDUCE: (1855), (1919) imply:
% 171.03/25.83 | | | | | | | | | | | | | | | | | | (1921) ~ (all_36_1 = e1)
% 171.03/25.83 | | | | | | | | | | | | | | | | | |
% 171.03/25.83 | | | | | | | | | | | | | | | | | | REDUCE: (1597), (1919) imply:
% 171.03/25.83 | | | | | | | | | | | | | | | | | | (1922) ~ (all_22_1 = e1)
% 171.03/25.83 | | | | | | | | | | | | | | | | | |
% 171.03/25.83 | | | | | | | | | | | | | | | | | | REDUCE: (694), (1919) imply:
% 171.03/25.83 | | | | | | | | | | | | | | | | | | (1923) op(e1, e3) = all_65_73
% 171.03/25.83 | | | | | | | | | | | | | | | | | |
% 171.03/25.83 | | | | | | | | | | | | | | | | | | REDUCE: (695), (1919) imply:
% 171.03/25.83 | | | | | | | | | | | | | | | | | | (1924) op(e1, e2) = all_65_75
% 171.03/25.83 | | | | | | | | | | | | | | | | | |
% 171.03/25.83 | | | | | | | | | | | | | | | | | | REDUCE: (696), (1919) imply:
% 171.03/25.83 | | | | | | | | | | | | | | | | | | (1925) op(e1, e1) = all_65_77
% 171.03/25.83 | | | | | | | | | | | | | | | | | |
% 171.03/25.83 | | | | | | | | | | | | | | | | | | REDUCE: (697), (1919) imply:
% 171.03/25.83 | | | | | | | | | | | | | | | | | | (1926) op(e1, e0) = all_65_78
% 171.03/25.83 | | | | | | | | | | | | | | | | | |
% 171.03/25.83 | | | | | | | | | | | | | | | | | | REDUCE: (1880), (1919) imply:
% 171.03/25.83 | | | | | | | | | | | | | | | | | | (1927) op(e3, e1) = all_65_73
% 171.03/25.83 | | | | | | | | | | | | | | | | | |
% 171.03/25.83 | | | | | | | | | | | | | | | | | | REDUCE: (1626), (1919) imply:
% 171.03/25.83 | | | | | | | | | | | | | | | | | | (1928) op(e2, e1) = all_65_75
% 171.03/25.83 | | | | | | | | | | | | | | | | | |
% 171.03/25.83 | | | | | | | | | | | | | | | | | | REDUCE: (747), (1919) imply:
% 171.03/25.83 | | | | | | | | | | | | | | | | | | (1929) op(e1, e1) = all_65_47
% 171.03/25.83 | | | | | | | | | | | | | | | | | |
% 171.03/25.83 | | | | | | | | | | | | | | | | | | REDUCE: (764), (1919) imply:
% 171.03/25.83 | | | | | | | | | | | | | | | | | | (1930) op(e0, e1) = all_65_78
% 171.03/25.83 | | | | | | | | | | | | | | | | | |
% 171.03/25.83 | | | | | | | | | | | | | | | | | | REDUCE: (76), (1919) imply:
% 171.03/25.83 | | | | | | | | | | | | | | | | | | (1931) op(e0, e0) = e1
% 171.03/25.83 | | | | | | | | | | | | | | | | | |
% 171.03/25.83 | | | | | | | | | | | | | | | | | | BETA: splitting (122) gives:
% 171.03/25.83 | | | | | | | | | | | | | | | | | |
% 171.03/25.83 | | | | | | | | | | | | | | | | | | Case 1:
% 171.03/25.83 | | | | | | | | | | | | | | | | | | |
% 171.03/25.83 | | | | | | | | | | | | | | | | | | | (1932) ~ (all_50_2 = e1)
% 171.03/25.83 | | | | | | | | | | | | | | | | | | |
% 171.03/25.83 | | | | | | | | | | | | | | | | | | | REDUCE: (1920), (1932) imply:
% 171.03/25.83 | | | | | | | | | | | | | | | | | | | (1933) $false
% 171.03/25.83 | | | | | | | | | | | | | | | | | | |
% 171.03/25.83 | | | | | | | | | | | | | | | | | | | CLOSE: (1933) is inconsistent.
% 171.03/25.83 | | | | | | | | | | | | | | | | | | |
% 171.03/25.83 | | | | | | | | | | | | | | | | | | Case 2:
% 171.03/25.83 | | | | | | | | | | | | | | | | | | |
% 171.03/25.83 | | | | | | | | | | | | | | | | | | | (1934) op(e0, e1) = all_50_1 & $i(all_50_1) & ( ~
% 171.03/25.83 | | | | | | | | | | | | | | | | | | | (all_50_1 = e2) | ( ~ (all_50_0 = e3) & op(e2,
% 171.03/25.83 | | | | | | | | | | | | | | | | | | | e0) = all_50_0 & $i(all_50_0)))
% 171.03/25.83 | | | | | | | | | | | | | | | | | | |
% 171.03/25.83 | | | | | | | | | | | | | | | | | | | ALPHA: (1934) implies:
% 171.03/25.83 | | | | | | | | | | | | | | | | | | | (1935) op(e0, e1) = all_50_1
% 171.03/25.83 | | | | | | | | | | | | | | | | | | |
% 171.03/25.83 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_11, all_42_1, e1,
% 171.03/25.83 | | | | | | | | | | | | | | | | | | | e0, simplifying with (224), (1917) gives:
% 171.03/25.83 | | | | | | | | | | | | | | | | | | | (1936) all_61_11 = all_42_1
% 171.03/25.83 | | | | | | | | | | | | | | | | | | |
% 171.03/25.83 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_11, all_50_1, e1,
% 171.03/25.83 | | | | | | | | | | | | | | | | | | | e0, simplifying with (224), (1935) gives:
% 171.03/25.83 | | | | | | | | | | | | | | | | | | | (1937) all_61_11 = all_50_1
% 171.03/25.83 | | | | | | | | | | | | | | | | | | |
% 171.03/25.83 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_11, all_65_78, e1,
% 171.03/25.83 | | | | | | | | | | | | | | | | | | | e0, simplifying with (224), (1930) gives:
% 171.03/25.83 | | | | | | | | | | | | | | | | | | | (1938) all_65_78 = all_61_11
% 171.03/25.83 | | | | | | | | | | | | | | | | | | |
% 171.03/25.83 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_14, all_65_78, e0,
% 171.03/25.83 | | | | | | | | | | | | | | | | | | | e1, simplifying with (227), (1926) gives:
% 171.03/25.83 | | | | | | | | | | | | | | | | | | | (1939) all_65_78 = all_61_14
% 171.03/25.83 | | | | | | | | | | | | | | | | | | |
% 171.03/25.83 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e1, all_65_47, e1, e1,
% 171.03/25.83 | | | | | | | | | | | | | | | | | | | simplifying with (876), (1929) gives:
% 171.03/25.83 | | | | | | | | | | | | | | | | | | | (1940) all_65_47 = e1
% 171.03/25.83 | | | | | | | | | | | | | | | | | | |
% 171.03/25.83 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_77, all_65_47, e1,
% 171.03/25.83 | | | | | | | | | | | | | | | | | | | e1, simplifying with (1925), (1929) gives:
% 171.03/25.83 | | | | | | | | | | | | | | | | | | | (1941) all_65_47 = all_65_77
% 171.03/25.83 | | | | | | | | | | | | | | | | | | |
% 171.03/25.83 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_6, all_65_75, e2,
% 171.03/25.83 | | | | | | | | | | | | | | | | | | | e1, simplifying with (229), (1924) gives:
% 171.03/25.83 | | | | | | | | | | | | | | | | | | | (1942) all_65_75 = all_61_6
% 171.03/25.83 | | | | | | | | | | | | | | | | | | |
% 171.03/25.83 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_2, all_65_73, e3,
% 171.03/25.83 | | | | | | | | | | | | | | | | | | | e1, simplifying with (230), (1923) gives:
% 171.03/25.83 | | | | | | | | | | | | | | | | | | | (1943) all_65_73 = all_61_2
% 171.03/25.83 | | | | | | | | | | | | | | | | | | |
% 171.03/25.83 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_9, all_65_75, e1,
% 171.03/25.83 | | | | | | | | | | | | | | | | | | | e2, simplifying with (232), (1928) gives:
% 171.03/25.83 | | | | | | | | | | | | | | | | | | | (1944) all_65_75 = all_61_9
% 171.03/25.83 | | | | | | | | | | | | | | | | | | |
% 171.03/25.83 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_8, all_65_73, e1,
% 171.03/25.83 | | | | | | | | | | | | | | | | | | | e3, simplifying with (236), (1927) gives:
% 171.03/25.83 | | | | | | | | | | | | | | | | | | | (1945) all_65_73 = all_61_8
% 171.03/25.83 | | | | | | | | | | | | | | | | | | |
% 171.03/25.83 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1940), (1941) imply:
% 171.03/25.83 | | | | | | | | | | | | | | | | | | | (1946) all_65_77 = e1
% 171.03/25.83 | | | | | | | | | | | | | | | | | | |
% 171.03/25.83 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1943), (1945) imply:
% 171.03/25.83 | | | | | | | | | | | | | | | | | | | (1947) all_61_2 = all_61_8
% 171.03/25.83 | | | | | | | | | | | | | | | | | | |
% 171.03/25.83 | | | | | | | | | | | | | | | | | | | SIMP: (1947) implies:
% 171.03/25.83 | | | | | | | | | | | | | | | | | | | (1948) all_61_2 = all_61_8
% 171.03/25.83 | | | | | | | | | | | | | | | | | | |
% 171.03/25.83 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1942), (1944) imply:
% 171.03/25.83 | | | | | | | | | | | | | | | | | | | (1949) all_61_6 = all_61_9
% 171.03/25.83 | | | | | | | | | | | | | | | | | | |
% 171.03/25.83 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1938), (1939) imply:
% 171.03/25.83 | | | | | | | | | | | | | | | | | | | (1950) all_61_11 = all_61_14
% 171.03/25.83 | | | | | | | | | | | | | | | | | | |
% 171.03/25.83 | | | | | | | | | | | | | | | | | | | SIMP: (1950) implies:
% 171.03/25.83 | | | | | | | | | | | | | | | | | | | (1951) all_61_11 = all_61_14
% 171.03/25.83 | | | | | | | | | | | | | | | | | | |
% 171.03/25.83 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1937), (1951) imply:
% 171.03/25.83 | | | | | | | | | | | | | | | | | | | (1952) all_61_14 = all_50_1
% 171.03/25.83 | | | | | | | | | | | | | | | | | | |
% 171.03/25.83 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1936), (1951) imply:
% 171.03/25.83 | | | | | | | | | | | | | | | | | | | (1953) all_61_14 = all_42_1
% 171.03/25.83 | | | | | | | | | | | | | | | | | | |
% 171.03/25.83 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1952), (1953) imply:
% 171.03/25.83 | | | | | | | | | | | | | | | | | | | (1954) all_50_1 = all_42_1
% 171.03/25.83 | | | | | | | | | | | | | | | | | | |
% 171.03/25.83 | | | | | | | | | | | | | | | | | | | REDUCE: (216), (1948) imply:
% 171.03/25.83 | | | | | | | | | | | | | | | | | | | (1955) ~ (all_61_1 = all_61_8)
% 171.03/25.83 | | | | | | | | | | | | | | | | | | |
% 171.03/25.83 | | | | | | | | | | | | | | | | | | | REDUCE: (1851), (1948) imply:
% 171.03/25.83 | | | | | | | | | | | | | | | | | | | (1956) ~ (all_61_8 = all_36_1)
% 171.03/25.83 | | | | | | | | | | | | | | | | | | |
% 171.03/25.83 | | | | | | | | | | | | | | | | | | | REDUCE: (1817), (1948) imply:
% 171.03/25.83 | | | | | | | | | | | | | | | | | | | (1957) ~ (all_61_8 = e0)
% 171.03/25.83 | | | | | | | | | | | | | | | | | | |
% 171.03/25.83 | | | | | | | | | | | | | | | | | | | REDUCE: (203), (1949) imply:
% 171.03/25.83 | | | | | | | | | | | | | | | | | | | (1958) ~ (all_61_4 = all_61_9)
% 171.03/25.83 | | | | | | | | | | | | | | | | | | |
% 171.03/25.83 | | | | | | | | | | | | | | | | | | | REDUCE: (1854), (1953) imply:
% 171.03/25.83 | | | | | | | | | | | | | | | | | | | (1959) ~ (all_42_1 = all_36_1)
% 171.03/25.83 | | | | | | | | | | | | | | | | | | |
% 171.03/25.83 | | | | | | | | | | | | | | | | | | | REDUCE: (667), (1948) imply:
% 171.03/25.83 | | | | | | | | | | | | | | | | | | | (1960) op(all_61_8, e2) = all_65_33
% 171.03/25.83 | | | | | | | | | | | | | | | | | | |
% 171.03/25.83 | | | | | | | | | | | | | | | | | | | REDUCE: (1877), (1948) imply:
% 171.03/25.83 | | | | | | | | | | | | | | | | | | | (1961) op(all_61_8, e0) = all_65_44
% 171.03/25.83 | | | | | | | | | | | | | | | | | | |
% 171.03/25.83 | | | | | | | | | | | | | | | | | | | REDUCE: (670), (1949) imply:
% 171.03/25.83 | | | | | | | | | | | | | | | | | | | (1962) op(all_61_9, e3) = all_65_36
% 171.03/25.83 | | | | | | | | | | | | | | | | | | |
% 171.03/25.83 | | | | | | | | | | | | | | | | | | | REDUCE: (672), (1949) imply:
% 171.03/25.83 | | | | | | | | | | | | | | | | | | | (1963) op(all_61_9, e1) = all_65_38
% 171.03/25.83 | | | | | | | | | | | | | | | | | | |
% 171.03/25.83 | | | | | | | | | | | | | | | | | | | REDUCE: (1622), (1949) imply:
% 171.03/25.83 | | | | | | | | | | | | | | | | | | | (1964) op(all_61_9, e0) = all_65_45
% 171.03/25.83 | | | | | | | | | | | | | | | | | | |
% 171.03/25.83 | | | | | | | | | | | | | | | | | | | REDUCE: (690), (1936) imply:
% 171.03/25.83 | | | | | | | | | | | | | | | | | | | (1965) op(all_42_1, e3) = all_65_65
% 171.03/25.83 | | | | | | | | | | | | | | | | | | |
% 171.03/25.83 | | | | | | | | | | | | | | | | | | | REDUCE: (691), (1936) imply:
% 171.03/25.83 | | | | | | | | | | | | | | | | | | | (1966) op(all_42_1, e2) = all_65_67
% 171.03/25.83 | | | | | | | | | | | | | | | | | | |
% 171.03/25.83 | | | | | | | | | | | | | | | | | | | REDUCE: (693), (1936) imply:
% 171.03/25.83 | | | | | | | | | | | | | | | | | | | (1967) op(all_42_1, e0) = all_65_71
% 171.03/25.83 | | | | | | | | | | | | | | | | | | |
% 171.03/25.83 | | | | | | | | | | | | | | | | | | | REDUCE: (678), (1953) imply:
% 171.03/25.83 | | | | | | | | | | | | | | | | | | | (1968) op(all_42_1, e3) = all_65_44
% 171.03/25.83 | | | | | | | | | | | | | | | | | | |
% 171.03/25.83 | | | | | | | | | | | | | | | | | | | REDUCE: (679), (1953) imply:
% 171.03/25.83 | | | | | | | | | | | | | | | | | | | (1969) op(all_42_1, e2) = all_65_45
% 171.03/25.83 | | | | | | | | | | | | | | | | | | |
% 171.03/25.83 | | | | | | | | | | | | | | | | | | | REDUCE: (681), (1940), (1953) imply:
% 171.03/25.83 | | | | | | | | | | | | | | | | | | | (1970) op(all_42_1, e0) = e1
% 171.03/25.83 | | | | | | | | | | | | | | | | | | |
% 171.03/25.83 | | | | | | | | | | | | | | | | | | | REDUCE: (1623), (1944) imply:
% 171.03/25.83 | | | | | | | | | | | | | | | | | | | (1971) op(all_22_1, e0) = all_61_9
% 171.03/25.83 | | | | | | | | | | | | | | | | | | |
% 171.03/25.83 | | | | | | | | | | | | | | | | | | | REDUCE: (707), (1949) imply:
% 171.03/25.83 | | | | | | | | | | | | | | | | | | | (1972) op(e3, all_61_9) = all_65_9
% 171.03/25.83 | | | | | | | | | | | | | | | | | | |
% 171.03/25.83 | | | | | | | | | | | | | | | | | | | REDUCE: (1878), (1936) imply:
% 171.03/25.83 | | | | | | | | | | | | | | | | | | | (1973) op(e3, all_42_1) = all_65_53
% 171.03/25.83 | | | | | | | | | | | | | | | | | | |
% 171.03/25.83 | | | | | | | | | | | | | | | | | | | REDUCE: (709), (1953) imply:
% 171.03/25.83 | | | | | | | | | | | | | | | | | | | (1974) op(e3, all_42_1) = all_65_11
% 171.03/25.83 | | | | | | | | | | | | | | | | | | |
% 171.03/25.83 | | | | | | | | | | | | | | | | | | | REDUCE: (723), (1948) imply:
% 171.03/25.83 | | | | | | | | | | | | | | | | | | | (1975) op(e2, all_61_8) = all_65_24
% 171.03/25.83 | | | | | | | | | | | | | | | | | | |
% 171.03/25.83 | | | | | | | | | | | | | | | | | | | REDUCE: (1625), (1936) imply:
% 171.03/25.83 | | | | | | | | | | | | | | | | | | | (1976) op(e2, all_42_1) = all_65_61
% 171.03/25.83 | | | | | | | | | | | | | | | | | | |
% 171.03/25.83 | | | | | | | | | | | | | | | | | | | REDUCE: (726), (1953) imply:
% 171.03/25.83 | | | | | | | | | | | | | | | | | | | (1977) op(e2, all_42_1) = all_65_27
% 171.03/25.83 | | | | | | | | | | | | | | | | | | |
% 171.03/25.83 | | | | | | | | | | | | | | | | | | | REDUCE: (227), (1953) imply:
% 171.03/25.83 | | | | | | | | | | | | | | | | | | | (1978) op(e1, e0) = all_42_1
% 171.03/25.83 | | | | | | | | | | | | | | | | | | |
% 171.03/25.83 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_61, all_65_27,
% 171.03/25.83 | | | | | | | | | | | | | | | | | | | all_42_1, e2, simplifying with (1976), (1977)
% 171.03/25.83 | | | | | | | | | | | | | | | | | | | gives:
% 171.03/25.83 | | | | | | | | | | | | | | | | | | | (1979) all_65_27 = all_65_61
% 171.03/25.83 | | | | | | | | | | | | | | | | | | |
% 171.03/25.83 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_53, all_65_11,
% 171.03/25.83 | | | | | | | | | | | | | | | | | | | all_42_1, e3, simplifying with (1973), (1974)
% 171.03/25.83 | | | | | | | | | | | | | | | | | | | gives:
% 171.03/25.83 | | | | | | | | | | | | | | | | | | | (1980) all_65_11 = all_65_53
% 171.03/25.83 | | | | | | | | | | | | | | | | | | |
% 171.03/25.83 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e1, all_65_71, e0,
% 171.03/25.83 | | | | | | | | | | | | | | | | | | | all_42_1, simplifying with (1967), (1970) gives:
% 171.03/25.83 | | | | | | | | | | | | | | | | | | | (1981) all_65_71 = e1
% 171.03/25.83 | | | | | | | | | | | | | | | | | | |
% 171.03/25.83 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_67, all_65_45, e2,
% 171.03/25.83 | | | | | | | | | | | | | | | | | | | all_42_1, simplifying with (1966), (1969) gives:
% 171.03/25.83 | | | | | | | | | | | | | | | | | | | (1982) all_65_45 = all_65_67
% 171.03/25.83 | | | | | | | | | | | | | | | | | | |
% 171.03/25.83 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_65, all_65_44, e3,
% 171.03/25.83 | | | | | | | | | | | | | | | | | | | all_42_1, simplifying with (1965), (1968) gives:
% 171.03/25.83 | | | | | | | | | | | | | | | | | | | (1983) all_65_44 = all_65_65
% 171.03/25.83 | | | | | | | | | | | | | | | | | | |
% 171.03/25.83 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_27, all_65_45, e0,
% 171.03/25.83 | | | | | | | | | | | | | | | | | | | all_61_9, simplifying with (661), (1964) gives:
% 171.03/25.83 | | | | | | | | | | | | | | | | | | | (1984) all_65_27 = all_65_45
% 171.03/25.83 | | | | | | | | | | | | | | | | | | |
% 171.03/25.83 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_9, all_65_38, e1,
% 171.03/25.83 | | | | | | | | | | | | | | | | | | | all_61_9, simplifying with (885), (1963) gives:
% 171.03/25.83 | | | | | | | | | | | | | | | | | | | (1985) all_65_38 = all_61_9
% 171.03/25.83 | | | | | | | | | | | | | | | | | | |
% 171.03/25.83 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_24, all_65_36, e3,
% 171.03/25.83 | | | | | | | | | | | | | | | | | | | all_61_9, simplifying with (658), (1962) gives:
% 171.03/25.83 | | | | | | | | | | | | | | | | | | | (1986) all_65_24 = all_65_36
% 171.03/25.83 | | | | | | | | | | | | | | | | | | |
% 171.03/25.83 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_11, all_65_44, e0,
% 171.03/25.83 | | | | | | | | | | | | | | | | | | | all_61_8, simplifying with (645), (1961) gives:
% 171.03/25.83 | | | | | | | | | | | | | | | | | | | (1987) all_65_11 = all_65_44
% 171.03/25.83 | | | | | | | | | | | | | | | | | | |
% 171.03/25.83 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_9, all_65_33, e2,
% 171.03/25.83 | | | | | | | | | | | | | | | | | | | all_61_8, simplifying with (643), (1960) gives:
% 171.03/25.83 | | | | | | | | | | | | | | | | | | | (1988) all_65_9 = all_65_33
% 171.03/25.83 | | | | | | | | | | | | | | | | | | |
% 171.03/25.83 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1980), (1987) imply:
% 171.03/25.83 | | | | | | | | | | | | | | | | | | | (1989) all_65_44 = all_65_53
% 171.03/25.83 | | | | | | | | | | | | | | | | | | |
% 171.03/25.83 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1979), (1984) imply:
% 171.03/25.83 | | | | | | | | | | | | | | | | | | | (1990) all_65_45 = all_65_61
% 171.03/25.83 | | | | | | | | | | | | | | | | | | |
% 171.03/25.83 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1983), (1989) imply:
% 171.03/25.83 | | | | | | | | | | | | | | | | | | | (1991) all_65_53 = all_65_65
% 171.03/25.83 | | | | | | | | | | | | | | | | | | |
% 171.03/25.83 | | | | | | | | | | | | | | | | | | | SIMP: (1991) implies:
% 171.03/25.83 | | | | | | | | | | | | | | | | | | | (1992) all_65_53 = all_65_65
% 171.03/25.83 | | | | | | | | | | | | | | | | | | |
% 171.03/25.83 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1982), (1990) imply:
% 171.03/25.83 | | | | | | | | | | | | | | | | | | | (1993) all_65_61 = all_65_67
% 171.03/25.83 | | | | | | | | | | | | | | | | | | |
% 171.03/25.83 | | | | | | | | | | | | | | | | | | | SIMP: (1993) implies:
% 171.03/25.83 | | | | | | | | | | | | | | | | | | | (1994) all_65_61 = all_65_67
% 171.03/25.83 | | | | | | | | | | | | | | | | | | |
% 171.03/25.83 | | | | | | | | | | | | | | | | | | | REDUCE: (1961), (1983) imply:
% 171.03/25.83 | | | | | | | | | | | | | | | | | | | (1995) op(all_61_8, e0) = all_65_65
% 171.03/25.83 | | | | | | | | | | | | | | | | | | |
% 171.03/25.83 | | | | | | | | | | | | | | | | | | | REDUCE: (1964), (1982) imply:
% 171.03/25.83 | | | | | | | | | | | | | | | | | | | (1996) op(all_61_9, e0) = all_65_67
% 171.03/25.83 | | | | | | | | | | | | | | | | | | |
% 171.03/25.83 | | | | | | | | | | | | | | | | | | | REDUCE: (1859), (1992) imply:
% 171.03/25.83 | | | | | | | | | | | | | | | | | | | (1997) op(all_36_1, e1) = all_65_65
% 171.03/25.83 | | | | | | | | | | | | | | | | | | |
% 171.03/25.83 | | | | | | | | | | | | | | | | | | | REDUCE: (1601), (1994) imply:
% 171.03/25.83 | | | | | | | | | | | | | | | | | | | (1998) op(all_22_1, e1) = all_65_67
% 171.03/25.83 | | | | | | | | | | | | | | | | | | |
% 171.03/25.83 | | | | | | | | | | | | | | | | | | | REDUCE: (1972), (1988) imply:
% 171.03/25.83 | | | | | | | | | | | | | | | | | | | (1999) op(e3, all_61_9) = all_65_33
% 171.03/25.83 | | | | | | | | | | | | | | | | | | |
% 171.03/25.83 | | | | | | | | | | | | | | | | | | | REDUCE: (1975), (1986) imply:
% 171.03/25.83 | | | | | | | | | | | | | | | | | | | (2000) op(e2, all_61_8) = all_65_36
% 171.03/25.83 | | | | | | | | | | | | | | | | | | |
% 171.03/25.83 | | | | | | | | | | | | | | | | | | | BETA: splitting (157) gives:
% 171.03/25.83 | | | | | | | | | | | | | | | | | | |
% 171.03/25.83 | | | | | | | | | | | | | | | | | | | Case 1:
% 171.03/25.83 | | | | | | | | | | | | | | | | | | | |
% 171.03/25.83 | | | | | | | | | | | | | | | | | | | | (2001) ~ (all_58_3 = e1)
% 171.03/25.83 | | | | | | | | | | | | | | | | | | | |
% 171.03/25.83 | | | | | | | | | | | | | | | | | | | | REDUCE: (475), (2001) imply:
% 171.03/25.83 | | | | | | | | | | | | | | | | | | | | (2002) ~ (all_52_3 = e1)
% 171.03/25.83 | | | | | | | | | | | | | | | | | | | |
% 171.03/25.83 | | | | | | | | | | | | | | | | | | | | BETA: splitting (159) gives:
% 171.03/25.83 | | | | | | | | | | | | | | | | | | | |
% 171.03/25.83 | | | | | | | | | | | | | | | | | | | | Case 1:
% 171.03/25.83 | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.83 | | | | | | | | | | | | | | | | | | | | | (2003) ~ (all_58_3 = e3)
% 171.03/25.83 | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.83 | | | | | | | | | | | | | | | | | | | | | REDUCE: (475), (2003) imply:
% 171.03/25.83 | | | | | | | | | | | | | | | | | | | | | (2004) ~ (all_52_3 = e3)
% 171.03/25.83 | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.83 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (158) gives:
% 171.03/25.83 | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.83 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 171.03/25.83 | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.83 | | | | | | | | | | | | | | | | | | | | | | (2005) ~ (all_58_3 = e2)
% 171.03/25.83 | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.83 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (475), (2005) imply:
% 171.03/25.83 | | | | | | | | | | | | | | | | | | | | | | (2006) ~ (all_52_3 = e2)
% 171.03/25.83 | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.83 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (148) gives:
% 171.03/25.83 | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.83 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 171.03/25.83 | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.83 | | | | | | | | | | | | | | | | | | | | | | | (2007) all_56_3 = e3
% 171.03/25.83 | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.83 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (539), (2007) imply:
% 171.03/25.83 | | | | | | | | | | | | | | | | | | | | | | | (2008) all_52_3 = e3
% 171.03/25.83 | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.83 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2004), (2008) imply:
% 171.03/25.83 | | | | | | | | | | | | | | | | | | | | | | | (2009) $false
% 171.03/25.83 | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.83 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2009) is inconsistent.
% 171.03/25.83 | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.83 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 171.03/25.83 | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.83 | | | | | | | | | | | | | | | | | | | | | | | (2010) all_56_3 = e2 | all_56_3 = e1 | all_56_3 = e0
% 171.03/25.83 | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.83 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2010) gives:
% 171.03/25.83 | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.83 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 171.03/25.83 | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.83 | | | | | | | | | | | | | | | | | | | | | | | | (2011) all_56_3 = e2
% 171.03/25.83 | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.83 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (539), (2011) imply:
% 171.03/25.83 | | | | | | | | | | | | | | | | | | | | | | | | (2012) all_52_3 = e2
% 171.03/25.83 | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.83 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2006), (2012) imply:
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | (2013) $false
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2013) is inconsistent.
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | (2014) all_56_3 = e1 | all_56_3 = e0
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2014) gives:
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | (2015) all_56_3 = e1
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (539), (2015) imply:
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | (2016) all_52_3 = e1
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2002), (2016) imply:
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | (2017) $false
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2017) is inconsistent.
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | (2018) all_56_3 = e0
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (539), (2018) imply:
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | (2019) all_52_3 = e0
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (765), (2019) imply:
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | (2020) op(e0, e0) = unit
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e1, unit, e0, e0,
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1931), (2020) gives:
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | (2021) unit = e1
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7), (2021) imply:
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | (2022) op(e1, e0) = e0
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6), (2021) imply:
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | (2023) op(e3, e1) = e3
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5), (2021) imply:
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | (2024) op(e2, e1) = e2
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_42_1, e0, e0, e1,
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1978), (2022) gives:
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | (2025) all_42_1 = e0
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_9, e2, e1, e2,
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (232), (2024) gives:
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | (2026) all_61_9 = e2
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_8, e3, e1, e3,
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (236), (2023) gives:
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | (2027) all_61_8 = e3
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1955), (2027) imply:
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | (2028) ~ (all_61_1 = e3)
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (213), (2026) imply:
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | (2029) ~ (all_61_1 = e2)
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (201), (2027) imply:
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | (2030) ~ (all_61_4 = e3)
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1958), (2026) imply:
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | (2031) ~ (all_61_4 = e2)
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1956), (2027) imply:
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | (2032) ~ (all_36_1 = e3)
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2032) implies:
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | (2033) ~ (all_36_1 = e3)
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1959), (2025) imply:
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | (2034) ~ (all_36_1 = e0)
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1999), (2026) imply:
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | (2035) op(e3, e2) = all_65_33
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2000), (2027) imply:
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | (2036) op(e2, e3) = all_65_36
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (268) gives:
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | | (2037) all_63_3 = e3
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1849), (2037) imply:
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | | (2038) all_36_1 = e3
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2033), (2038) imply:
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | | (2039) $false
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2039) is inconsistent.
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | | (2040) all_63_3 = e2 | all_63_3 = e1 | all_63_3 = e0
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (270) gives:
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2041) all_63_1 = e3
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (488), (2041) imply:
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2042) all_61_4 = e3
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2030), (2042) imply:
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2043) $false
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2043) is inconsistent.
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2044) all_63_1 = e2 | all_63_1 = e1 | all_63_1 = e0
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2044) gives:
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2045) all_63_1 = e2
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (488), (2045) imply:
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2046) all_61_4 = e2
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2031), (2046) imply:
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2047) $false
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2047) is inconsistent.
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2048) all_63_1 = e1 | all_63_1 = e0
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2048) gives:
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2049) all_63_1 = e1
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (488), (2049) imply:
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2050) all_61_4 = e1
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (237), (2050) imply:
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2051) op(e3, e2) = e1
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (733), (2050) imply:
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2052) op(e1, e1) = all_65_33
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (267) gives:
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2053) all_63_4 = e3
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (493), (2053) imply:
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2054) all_61_1 = e3
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2028), (2054) imply:
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2055) $false
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2055) is inconsistent.
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2056) all_63_4 = e2 | all_63_4 = e1 | all_63_4 = e0
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2056) gives:
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2057) all_63_4 = e2
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (493), (2057) imply:
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2058) all_61_1 = e2
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2029), (2058) imply:
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2059) $false
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2059) is inconsistent.
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2060) all_63_4 = e1 | all_63_4 = e0
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2060) gives:
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2061) all_63_4 = e1
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (493), (2061) imply:
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2062) all_61_1 = e1
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (736), (2062) imply:
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2063) op(e1, e1) = all_65_36
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1814) gives:
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2064) ~ (all_36_1 = e2)
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1849), (1856), (1921), (2040), (2064) are
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #447.
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2065) ~ (all_36_0 = e1) & op(e2, e3) = all_36_0 &
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_36_0)
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2065) implies:
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2066) ~ (all_36_0 = e1)
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2067) op(e2, e3) = all_36_0
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_36, all_65_33, e1,
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, simplifying with (2052), (2063) gives:
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2068) all_65_33 = all_65_36
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_36_0, all_65_36, e3,
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, simplifying with (2036), (2067) gives:
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2069) all_65_36 = all_36_0
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e1, all_65_33, e2, e3,
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (2035), (2051) gives:
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2070) all_65_33 = e1
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2068), (2070) imply:
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2071) all_65_36 = e1
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2071) implies:
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2072) all_65_36 = e1
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2069), (2072) imply:
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2073) all_36_0 = e1
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2066), (2073) imply:
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2074) $false
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2074) is inconsistent.
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2075) all_63_4 = e0
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (493), (2075) imply:
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2076) all_61_1 = e0
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1555), (2076) imply:
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2077) $false
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2077) is inconsistent.
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2078) all_63_1 = e0
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (488), (2078) imply:
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2079) all_61_4 = e0
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1556), (2079) imply:
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2080) $false
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2080) is inconsistent.
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | End of split
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | (2081) all_58_1 = e0
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (481), (2081) imply:
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | (2082) all_52_1 = e0
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.84 | | | | | | | | | | | | | | | | | | | | | | SIMP: (2082) implies:
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | (2083) all_52_1 = e0
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (731), (2083) imply:
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | (2084) op(e2, e0) = unit
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_22_1, unit, e0, e2,
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | simplifying with (1552), (2084) gives:
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | (2085) all_22_1 = unit
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1593), (2085) imply:
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | (2086) all_63_7 = unit
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1596), (2085) imply:
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | (2087) ~ (all_61_9 = unit)
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1922), (2085) imply:
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | (2088) ~ (unit = e1)
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1598), (2085) imply:
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | (2089) ~ (unit = e0)
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1998), (2085) imply:
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | (2090) op(unit, e1) = all_65_67
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1865), (2085) imply:
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | (2091) op(e3, all_61_4) = unit
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (264) gives:
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | (2092) all_63_7 = e3
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2086), (2092) imply:
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | (2093) unit = e3
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (851), (2093) imply:
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | (2094) $false
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2094) is inconsistent.
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | (2095) all_63_7 = e2 | all_63_7 = e1 | all_63_7 = e0
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2095) gives:
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | (2096) all_63_7 = e2
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2086), (2096) imply:
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | (2097) unit = e2
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2087), (2097) imply:
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | (2098) ~ (all_61_9 = e2)
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2090), (2097) imply:
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | (2099) op(e2, e1) = all_65_67
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8), (2097) imply:
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | (2100) op(e2, e1) = e1
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7), (2097) imply:
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | (2101) op(e2, e0) = e0
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2091), (2097) imply:
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | (2102) op(e3, all_61_4) = e2
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (265) gives:
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | (2103) all_63_6 = e3
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (497), (2103) imply:
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | (2104) all_61_9 = e3
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (190), (2104) imply:
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | (2105) ~ (all_61_8 = e3)
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (885), (2104) imply:
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | (2106) op(e3, e1) = e3
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1996), (2104) imply:
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | (2107) op(e3, e0) = all_65_67
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (259) gives:
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | (2108) all_63_12 = e3
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1848), (2108) imply:
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | (2109) all_36_1 = e3
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1850), (2109) imply:
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | (2110) ~ (all_61_1 = e3)
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1852), (2109) imply:
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | (2111) ~ (all_61_4 = e3)
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1997), (2109) imply:
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | (2112) op(e3, e1) = all_65_65
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1813), (2109) imply:
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | (2113) op(e3, e0) = e3
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (270) gives:
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2114) all_63_1 = e3
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (488), (2114) imply:
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2115) all_61_4 = e3
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2111), (2115) imply:
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2116) $false
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2116) is inconsistent.
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2117) all_63_1 = e2 | all_63_1 = e1 | all_63_1 = e0
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (269) gives:
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2118) all_63_2 = e3
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (489), (2118) imply:
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2119) all_61_8 = e3
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2105), (2119) imply:
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2120) $false
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2120) is inconsistent.
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2121) all_63_2 = e2 | all_63_2 = e1 | all_63_2 = e0
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2121) gives:
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2122) all_63_2 = e2
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (489), (2122) imply:
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2123) all_61_8 = e2
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1955), (2123) imply:
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2124) ~ (all_61_1 = e2)
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (201), (2123) imply:
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2125) ~ (all_61_4 = e2)
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1995), (2123) imply:
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2126) op(e2, e0) = all_65_65
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (267) gives:
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2127) all_63_4 = e3
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (493), (2127) imply:
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2128) all_61_1 = e3
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2110), (2128) imply:
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2129) $false
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2129) is inconsistent.
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2130) all_63_4 = e2 | all_63_4 = e1 | all_63_4 = e0
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2117) gives:
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2131) all_63_1 = e2
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (488), (2131) imply:
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2132) all_61_4 = e2
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2125), (2132) imply:
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2133) $false
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2133) is inconsistent.
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2134) all_63_1 = e1 | all_63_1 = e0
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2134) gives:
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2135) all_63_1 = e1
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (488), (2135) imply:
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2136) all_61_4 = e1
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2102), (2136) imply:
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2137) op(e3, e1) = e2
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (2136) imply:
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2138) op(e2, e1) = all_65_17
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2130) gives:
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2139) all_63_4 = e2
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (493), (2139) imply:
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2140) all_61_1 = e2
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2124), (2140) imply:
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2141) $false
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2141) is inconsistent.
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2142) all_63_4 = e1 | all_63_4 = e0
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2142) gives:
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2143) all_63_4 = e1
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (493), (2143) imply:
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2144) all_61_1 = e1
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (702), (2144) imply:
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2145) op(e3, e1) = all_65_4
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e0, all_65_65, e0, e2,
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (2101), (2126) gives:
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2146) all_65_65 = e0
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_67, all_65_17, e1,
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, simplifying with (2099), (2138) gives:
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2147) all_65_17 = all_65_67
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e1, all_65_17, e1, e2,
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (2100), (2138) gives:
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2148) all_65_17 = e1
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e3, all_65_67, e0, e3,
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (2107), (2113) gives:
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2149) all_65_67 = e3
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_65, all_65_4, e1,
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, simplifying with (2112), (2145) gives:
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2150) all_65_4 = all_65_65
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e3, all_65_4, e1, e3,
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (2106), (2145) gives:
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2151) all_65_4 = e3
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e2, all_65_4, e1, e3,
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (2137), (2145) gives:
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2152) all_65_4 = e2
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2151), (2152) imply:
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2153) e3 = e2
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2153) implies:
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2154) e3 = e2
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2150), (2152) imply:
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2155) all_65_65 = e2
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2155) implies:
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2156) all_65_65 = e2
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2147), (2148) imply:
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2157) all_65_67 = e1
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2157) implies:
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2158) all_65_67 = e1
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2146), (2156) imply:
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2159) e2 = e0
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2159) implies:
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2160) e2 = e0
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2149), (2158) imply:
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2161) e3 = e1
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2161) implies:
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2162) e3 = e1
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2154), (2162) imply:
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2163) e2 = e1
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2163) implies:
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2164) e2 = e1
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (2160), (2164) are inconsistent by sub-proof
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #403.
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2165) all_63_4 = e0
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (493), (2165) imply:
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2166) all_61_1 = e0
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1555), (2166) imply:
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2167) $false
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2167) is inconsistent.
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2168) all_63_1 = e0
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (488), (2168) imply:
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2169) all_61_4 = e0
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1556), (2169) imply:
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2170) $false
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2170) is inconsistent.
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 171.03/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2171) all_63_2 = e1 | all_63_2 = e0
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (489), (865), (1957), (2171) are inconsistent by
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #402.
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | (2172) ~ (all_63_12 = e3)
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | (2173) all_63_12 = e2 | all_63_12 = e1 | all_63_12 = e0
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1848), (2172) imply:
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | (2174) ~ (all_36_1 = e3)
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (268), (269), (489), (865), (1848), (1849),
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | (1856), (1921), (1956), (1957), (2105), (2173),
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | (2174) are inconsistent by sub-proof #399.
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | (2175) all_63_6 = e2 | all_63_6 = e1 | all_63_6 = e0
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (497), (866), (1558), (2098), (2175) are
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #410.
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | | (2176) ~ (all_63_7 = e2)
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2086), (2176) imply:
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | | (2177) ~ (unit = e2)
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (852), (2088), (2089), (2177) are inconsistent by
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #398.
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | End of split
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | End of split
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | Case 2:
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | (2178) all_58_0 = e0
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (484), (2178) imply:
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | (2179) all_52_0 = e0
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | SIMP: (2179) implies:
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | (2180) all_52_0 = e0
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | REDUCE: (714), (2180) imply:
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | (2181) op(e3, e0) = unit
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_36_1, unit, e0, e3,
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | simplifying with (1813), (2181) gives:
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | (2182) all_36_1 = unit
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | REDUCE: (1852), (2182) imply:
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | (2183) ~ (all_61_4 = unit)
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | REDUCE: (1956), (2182) imply:
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | (2184) ~ (all_61_8 = unit)
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | REDUCE: (1921), (2182) imply:
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | (2185) ~ (unit = e1)
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | REDUCE: (1856), (2182) imply:
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | (2186) ~ (unit = e0)
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | REDUCE: (1858), (2182) imply:
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | (2187) op(unit, e2) = all_65_51
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | REDUCE: (1997), (2182) imply:
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | (2188) op(unit, e1) = all_65_65
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (852) gives:
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | (2189) unit = e2
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2183), (2189) imply:
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | (2190) ~ (all_61_4 = e2)
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2184), (2189) imply:
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | (2191) ~ (all_61_8 = e2)
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2187), (2189) imply:
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | (2192) op(e2, e2) = all_65_51
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2188), (2189) imply:
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | (2193) op(e2, e1) = all_65_65
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8), (2189) imply:
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | (2194) op(e2, e1) = e1
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5), (2189) imply:
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | (2195) op(e2, e2) = e2
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (269) gives:
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | (2196) all_63_2 = e3
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (489), (2196) imply:
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | (2197) all_61_8 = e3
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (201), (2197) imply:
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | (2198) ~ (all_61_4 = e3)
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (190), (2197) imply:
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | (2199) ~ (all_61_9 = e3)
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2199) implies:
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | (2200) ~ (all_61_9 = e3)
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1995), (2197) imply:
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | (2201) op(e3, e0) = all_65_65
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (270) gives:
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | | (2202) all_63_1 = e3
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (488), (2202) imply:
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | | (2203) all_61_4 = e3
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2198), (2203) imply:
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | | (2204) $false
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2204) is inconsistent.
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | | (2205) all_63_1 = e2 | all_63_1 = e1 | all_63_1 = e0
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2205) gives:
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | (2206) all_63_1 = e2
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (488), (2206) imply:
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | (2207) all_61_4 = e2
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2190), (2207) imply:
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | (2208) $false
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2208) is inconsistent.
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | (2209) all_63_1 = e1 | all_63_1 = e0
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (265) gives:
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | (2210) all_63_6 = e3
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (497), (2210) imply:
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | (2211) all_61_9 = e3
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2200), (2211) imply:
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | (2212) $false
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2212) is inconsistent.
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | (2213) ~ (all_63_6 = e3)
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | (2214) all_63_6 = e2 | all_63_6 = e1 | all_63_6 = e0
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2214) gives:
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2215) all_63_6 = e2
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (497), (2215) imply:
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2216) all_61_9 = e2
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1971), (2216) imply:
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2217) op(all_22_1, e0) = e2
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (264) gives:
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2218) all_63_7 = e3
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1593), (2218) imply:
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2219) all_22_1 = e3
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1599), (2219) imply:
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2220) op(e3, e3) = all_65_57
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2217), (2219) imply:
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2221) op(e3, e0) = e2
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1879), (2219) imply:
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2222) op(e3, e3) = all_65_51
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2209) gives:
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2223) all_63_1 = e1
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (488), (2223) imply:
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2224) all_61_4 = e1
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (2224) imply:
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2225) op(e2, e1) = all_65_17
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_65, all_65_17, e1,
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, simplifying with (2193), (2225) gives:
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2226) all_65_17 = all_65_65
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e1, all_65_17, e1, e2,
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (2194), (2225) gives:
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2227) all_65_17 = e1
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e2, all_65_51, e2, e2,
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (2192), (2195) gives:
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2228) all_65_51 = e2
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e2, all_65_65, e0, e3,
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (2201), (2221) gives:
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2229) all_65_65 = e2
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e0, all_65_57, e3, e3,
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1824), (2220) gives:
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2230) all_65_57 = e0
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_57, all_65_51, e3,
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, simplifying with (2220), (2222) gives:
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2231) all_65_51 = all_65_57
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2226), (2227) imply:
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2232) all_65_65 = e1
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2232) implies:
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2233) all_65_65 = e1
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2228), (2231) imply:
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2234) all_65_57 = e2
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2234) implies:
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2235) all_65_57 = e2
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2230), (2235) imply:
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2236) e2 = e0
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2229), (2233) imply:
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2237) e2 = e1
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (2236), (2237) are inconsistent by sub-proof
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #397.
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2238) all_63_1 = e0
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (488), (2238) imply:
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2239) all_61_4 = e0
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1556), (2239) imply:
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2240) $false
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2240) is inconsistent.
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2241) ~ (all_63_7 = e3)
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1593), (2241) imply:
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2242) ~ (all_22_1 = e3)
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (258), (265), (497), (866), (1558), (1592),
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1596), (1598), (1922), (2200), (2242) are
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #394.
% 171.03/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 171.03/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 171.03/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2243) all_63_6 = e1 | all_63_6 = e0
% 171.03/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (497), (866), (1558), (2243) are inconsistent by
% 171.03/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #408.
% 171.03/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 171.03/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 171.03/25.87 | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.87 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 171.03/25.87 | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.87 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 171.03/25.87 | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.87 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 171.03/25.87 | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.87 | | | | | | | | | | | | | | | | | | | | | | | (2244) all_63_2 = e2 | all_63_2 = e1 | all_63_2 = e0
% 171.03/25.87 | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.87 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (489), (865), (1957), (2191), (2244) are
% 171.03/25.87 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #401.
% 171.03/25.87 | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.87 | | | | | | | | | | | | | | | | | | | | | | End of split
% 171.03/25.87 | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.87 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 171.03/25.87 | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.87 | | | | | | | | | | | | | | | | | | | | | | (2245) unit = e1 | unit = e0
% 171.03/25.87 | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.87 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2185), (2186), (2245) are inconsistent by
% 171.03/25.87 | | | | | | | | | | | | | | | | | | | | | | sub-proof #419.
% 171.03/25.87 | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.87 | | | | | | | | | | | | | | | | | | | | | End of split
% 171.03/25.87 | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.87 | | | | | | | | | | | | | | | | | | | | End of split
% 171.03/25.87 | | | | | | | | | | | | | | | | | | | |
% 171.03/25.87 | | | | | | | | | | | | | | | | | | | Case 2:
% 171.03/25.87 | | | | | | | | | | | | | | | | | | | |
% 171.03/25.87 | | | | | | | | | | | | | | | | | | | | (2246) all_58_3 = e1
% 171.03/25.87 | | | | | | | | | | | | | | | | | | | | (2247) all_58_2 = e0
% 171.03/25.87 | | | | | | | | | | | | | | | | | | | |
% 171.03/25.87 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (478), (2247) imply:
% 171.03/25.87 | | | | | | | | | | | | | | | | | | | | (2248) all_52_2 = e0
% 171.03/25.87 | | | | | | | | | | | | | | | | | | | |
% 171.03/25.87 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (475), (2246) imply:
% 171.03/25.87 | | | | | | | | | | | | | | | | | | | | (2249) all_52_3 = e1
% 171.03/25.87 | | | | | | | | | | | | | | | | | | | |
% 171.03/25.87 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (50), (633), (748), (1970), (1978), (2248),
% 171.03/25.87 | | | | | | | | | | | | | | | | | | | | (2249) are inconsistent by sub-proof #477.
% 171.03/25.87 | | | | | | | | | | | | | | | | | | | |
% 171.03/25.87 | | | | | | | | | | | | | | | | | | | End of split
% 171.03/25.87 | | | | | | | | | | | | | | | | | | |
% 171.03/25.87 | | | | | | | | | | | | | | | | | | End of split
% 171.03/25.87 | | | | | | | | | | | | | | | | | |
% 171.03/25.87 | | | | | | | | | | | | | | | | | End of split
% 171.03/25.87 | | | | | | | | | | | | | | | | |
% 171.03/25.87 | | | | | | | | | | | | | | | | End of split
% 171.03/25.87 | | | | | | | | | | | | | | | |
% 171.03/25.87 | | | | | | | | | | | | | | | End of split
% 171.03/25.87 | | | | | | | | | | | | | | |
% 171.03/25.87 | | | | | | | | | | | | | | Case 2:
% 171.03/25.87 | | | | | | | | | | | | | | |
% 171.03/25.87 | | | | | | | | | | | | | | | (2250) all_28_2 = e3
% 171.03/25.87 | | | | | | | | | | | | | | | (2251) op(e0, e3) = all_28_1 & $i(all_28_1) & ( ~
% 171.03/25.87 | | | | | | | | | | | | | | | (all_28_1 = e2) | ( ~ (all_28_0 = e1) & op(e2,
% 171.03/25.87 | | | | | | | | | | | | | | | e0) = all_28_0 & $i(all_28_0)))
% 171.03/25.87 | | | | | | | | | | | | | | |
% 171.03/25.87 | | | | | | | | | | | | | | | ALPHA: (2251) implies:
% 171.03/25.87 | | | | | | | | | | | | | | | (2252) op(e0, e3) = all_28_1
% 171.03/25.87 | | | | | | | | | | | | | | |
% 171.03/25.87 | | | | | | | | | | | | | | | COMBINE_EQS: (563), (2250) imply:
% 171.03/25.87 | | | | | | | | | | | | | | | (2253) all_20_2 = e3
% 171.03/25.87 | | | | | | | | | | | | | | |
% 171.03/25.87 | | | | | | | | | | | | | | | SIMP: (2253) implies:
% 171.03/25.87 | | | | | | | | | | | | | | | (2254) all_20_2 = e3
% 171.03/25.87 | | | | | | | | | | | | | | |
% 171.03/25.87 | | | | | | | | | | | | | | | REDUCE: (624), (2254) imply:
% 171.03/25.87 | | | | | | | | | | | | | | | (2255) ~ (all_61_11 = e3)
% 171.03/25.87 | | | | | | | | | | | | | | |
% 171.03/25.87 | | | | | | | | | | | | | | | REDUCE: (1597), (2254) imply:
% 171.03/25.87 | | | | | | | | | | | | | | | (2256) ~ (all_22_1 = e3)
% 171.03/25.87 | | | | | | | | | | | | | | |
% 171.03/25.87 | | | | | | | | | | | | | | | REDUCE: (1600), (2254) imply:
% 171.03/25.87 | | | | | | | | | | | | | | | (2257) op(all_22_1, e2) = e3
% 171.03/25.87 | | | | | | | | | | | | | | |
% 171.03/25.87 | | | | | | | | | | | | | | | REDUCE: (694), (2254) imply:
% 171.03/25.87 | | | | | | | | | | | | | | | (2258) op(e3, e3) = all_65_73
% 171.03/25.87 | | | | | | | | | | | | | | |
% 171.03/25.87 | | | | | | | | | | | | | | | REDUCE: (695), (2254) imply:
% 171.03/25.87 | | | | | | | | | | | | | | | (2259) op(e3, e2) = all_65_75
% 171.03/25.87 | | | | | | | | | | | | | | |
% 171.03/25.87 | | | | | | | | | | | | | | | REDUCE: (696), (2254) imply:
% 171.03/25.87 | | | | | | | | | | | | | | | (2260) op(e3, e1) = all_65_77
% 171.03/25.87 | | | | | | | | | | | | | | |
% 171.03/25.87 | | | | | | | | | | | | | | | REDUCE: (697), (2254) imply:
% 171.03/25.87 | | | | | | | | | | | | | | | (2261) op(e3, e0) = all_65_78
% 171.03/25.87 | | | | | | | | | | | | | | |
% 171.03/25.87 | | | | | | | | | | | | | | | REDUCE: (713), (2254) imply:
% 171.03/25.87 | | | | | | | | | | | | | | | (2262) op(e3, e3) = all_65_15
% 171.03/25.87 | | | | | | | | | | | | | | |
% 171.03/25.87 | | | | | | | | | | | | | | | REDUCE: (1626), (2254) imply:
% 171.03/25.87 | | | | | | | | | | | | | | | (2263) op(e2, e3) = all_65_75
% 171.03/25.87 | | | | | | | | | | | | | | |
% 171.03/25.87 | | | | | | | | | | | | | | | REDUCE: (747), (2254) imply:
% 171.03/25.87 | | | | | | | | | | | | | | | (2264) op(e1, e3) = all_65_47
% 171.03/25.87 | | | | | | | | | | | | | | |
% 171.03/25.87 | | | | | | | | | | | | | | | REDUCE: (764), (2254) imply:
% 171.03/25.87 | | | | | | | | | | | | | | | (2265) op(e0, e3) = all_65_78
% 171.03/25.87 | | | | | | | | | | | | | | |
% 171.03/25.87 | | | | | | | | | | | | | | | REDUCE: (76), (2254) imply:
% 171.03/25.87 | | | | | | | | | | | | | | | (2266) op(e0, e0) = e3
% 171.03/25.87 | | | | | | | | | | | | | | |
% 171.03/25.87 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_3, all_65_78, e3,
% 171.03/25.87 | | | | | | | | | | | | | | | e0, simplifying with (226), (2265) gives:
% 171.03/25.87 | | | | | | | | | | | | | | | (2267) all_65_78 = all_61_3
% 171.03/25.87 | | | | | | | | | | | | | | |
% 171.03/25.87 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_28_1, all_65_78, e3,
% 171.03/25.87 | | | | | | | | | | | | | | | e0, simplifying with (2252), (2265) gives:
% 171.03/25.87 | | | | | | | | | | | | | | | (2268) all_65_78 = all_28_1
% 171.03/25.87 | | | | | | | | | | | | | | |
% 171.03/25.87 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_2, all_65_47, e3,
% 171.03/25.87 | | | | | | | | | | | | | | | e1, simplifying with (230), (2264) gives:
% 171.03/25.87 | | | | | | | | | | | | | | | (2269) all_65_47 = all_61_2
% 171.03/25.87 | | | | | | | | | | | | | | |
% 171.03/25.87 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_1, all_65_75, e3,
% 171.03/25.87 | | | | | | | | | | | | | | | e2, simplifying with (234), (2263) gives:
% 171.03/25.87 | | | | | | | | | | | | | | | (2270) all_65_75 = all_61_1
% 171.03/25.87 | | | | | | | | | | | | | | |
% 171.03/25.87 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_12, all_65_78, e0,
% 171.03/25.87 | | | | | | | | | | | | | | | e3, simplifying with (235), (2261) gives:
% 171.03/25.87 | | | | | | | | | | | | | | | (2271) all_65_78 = all_61_12
% 171.03/25.87 | | | | | | | | | | | | | | |
% 171.03/25.88 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_8, all_65_77, e1,
% 171.03/25.88 | | | | | | | | | | | | | | | e3, simplifying with (236), (2260) gives:
% 171.03/25.88 | | | | | | | | | | | | | | | (2272) all_65_77 = all_61_8
% 171.03/25.88 | | | | | | | | | | | | | | |
% 171.03/25.88 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_4, all_65_75, e2,
% 171.03/25.88 | | | | | | | | | | | | | | | e3, simplifying with (237), (2259) gives:
% 171.03/25.88 | | | | | | | | | | | | | | | (2273) all_65_75 = all_61_4
% 171.03/25.88 | | | | | | | | | | | | | | |
% 171.03/25.88 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_14_2, all_65_15, e3,
% 171.03/25.88 | | | | | | | | | | | | | | | e3, simplifying with (67), (2262) gives:
% 171.03/25.88 | | | | | | | | | | | | | | | (2274) all_65_15 = all_14_2
% 171.03/25.88 | | | | | | | | | | | | | | |
% 171.03/25.88 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_73, all_65_15, e3,
% 171.03/25.88 | | | | | | | | | | | | | | | e3, simplifying with (2258), (2262) gives:
% 171.03/25.88 | | | | | | | | | | | | | | | (2275) all_65_15 = all_65_73
% 171.03/25.88 | | | | | | | | | | | | | | |
% 171.03/25.88 | | | | | | | | | | | | | | | COMBINE_EQS: (2274), (2275) imply:
% 171.03/25.88 | | | | | | | | | | | | | | | (2276) all_65_73 = all_14_2
% 171.03/25.88 | | | | | | | | | | | | | | |
% 171.03/25.88 | | | | | | | | | | | | | | | COMBINE_EQS: (2270), (2273) imply:
% 171.03/25.88 | | | | | | | | | | | | | | | (2277) all_61_1 = all_61_4
% 171.03/25.88 | | | | | | | | | | | | | | |
% 171.03/25.88 | | | | | | | | | | | | | | | COMBINE_EQS: (2268), (2271) imply:
% 171.03/25.88 | | | | | | | | | | | | | | | (2278) all_61_12 = all_28_1
% 171.03/25.88 | | | | | | | | | | | | | | |
% 171.03/25.88 | | | | | | | | | | | | | | | SIMP: (2278) implies:
% 171.03/25.88 | | | | | | | | | | | | | | | (2279) all_61_12 = all_28_1
% 171.03/25.88 | | | | | | | | | | | | | | |
% 171.03/25.88 | | | | | | | | | | | | | | | COMBINE_EQS: (2267), (2268) imply:
% 171.03/25.88 | | | | | | | | | | | | | | | (2280) all_61_3 = all_28_1
% 171.03/25.88 | | | | | | | | | | | | | | |
% 171.03/25.88 | | | | | | | | | | | | | | | SIMP: (2280) implies:
% 171.03/25.88 | | | | | | | | | | | | | | | (2281) all_61_3 = all_28_1
% 171.03/25.88 | | | | | | | | | | | | | | |
% 171.03/25.88 | | | | | | | | | | | | | | | COMBINE_EQS: (493), (2277) imply:
% 171.03/25.88 | | | | | | | | | | | | | | | (2282) all_63_4 = all_61_4
% 171.03/25.88 | | | | | | | | | | | | | | |
% 171.03/25.88 | | | | | | | | | | | | | | | REDUCE: (216), (2277) imply:
% 171.03/25.88 | | | | | | | | | | | | | | | (2283) ~ (all_61_2 = all_61_4)
% 171.03/25.88 | | | | | | | | | | | | | | |
% 171.03/25.88 | | | | | | | | | | | | | | | SIMP: (2283) implies:
% 171.03/25.88 | | | | | | | | | | | | | | | (2284) ~ (all_61_2 = all_61_4)
% 171.03/25.88 | | | | | | | | | | | | | | |
% 171.03/25.88 | | | | | | | | | | | | | | | REDUCE: (213), (2277) imply:
% 171.03/25.88 | | | | | | | | | | | | | | | (2285) ~ (all_61_4 = all_61_9)
% 171.03/25.88 | | | | | | | | | | | | | | |
% 171.03/25.88 | | | | | | | | | | | | | | | REDUCE: (1594), (2277) imply:
% 171.03/25.88 | | | | | | | | | | | | | | | (2286) ~ (all_61_4 = all_22_1)
% 171.03/25.88 | | | | | | | | | | | | | | |
% 171.03/25.88 | | | | | | | | | | | | | | | REDUCE: (650), (2277) imply:
% 171.03/25.88 | | | | | | | | | | | | | | | (2287) op(all_61_4, e3) = all_65_16
% 171.03/25.88 | | | | | | | | | | | | | | |
% 171.03/25.88 | | | | | | | | | | | | | | | REDUCE: (682), (2281) imply:
% 171.03/25.88 | | | | | | | | | | | | | | | (2288) op(all_28_1, e3) = all_65_49
% 171.03/25.88 | | | | | | | | | | | | | | |
% 171.03/25.88 | | | | | | | | | | | | | | | REDUCE: (646), (2279) imply:
% 171.03/25.88 | | | | | | | | | | | | | | | (2289) op(all_28_1, e3) = all_65_12
% 171.03/25.88 | | | | | | | | | | | | | | |
% 171.03/25.88 | | | | | | | | | | | | | | | REDUCE: (702), (2277) imply:
% 171.03/25.88 | | | | | | | | | | | | | | | (2290) op(e3, all_61_4) = all_65_4
% 171.03/25.88 | | | | | | | | | | | | | | |
% 171.03/25.88 | | | | | | | | | | | | | | | REDUCE: (710), (2281) imply:
% 171.03/25.88 | | | | | | | | | | | | | | | (2291) op(e3, all_28_1) = all_65_12
% 171.03/25.88 | | | | | | | | | | | | | | |
% 171.03/25.88 | | | | | | | | | | | | | | | REDUCE: (701), (2279) imply:
% 171.03/25.88 | | | | | | | | | | | | | | | (2292) op(e3, all_28_1) = all_65_3
% 171.03/25.88 | | | | | | | | | | | | | | |
% 171.03/25.88 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_12, all_65_3,
% 171.03/25.88 | | | | | | | | | | | | | | | all_28_1, e3, simplifying with (2291), (2292)
% 171.03/25.88 | | | | | | | | | | | | | | | gives:
% 171.03/25.88 | | | | | | | | | | | | | | | (2293) all_65_3 = all_65_12
% 171.03/25.88 | | | | | | | | | | | | | | |
% 171.03/25.88 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_1, all_65_4,
% 171.03/25.88 | | | | | | | | | | | | | | | all_61_4, e3, simplifying with (699), (2290)
% 171.03/25.88 | | | | | | | | | | | | | | | gives:
% 171.03/25.88 | | | | | | | | | | | | | | | (2294) all_65_1 = all_65_4
% 171.03/25.88 | | | | | | | | | | | | | | |
% 171.03/25.88 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_49, all_65_12, e3,
% 171.03/25.88 | | | | | | | | | | | | | | | all_28_1, simplifying with (2288), (2289) gives:
% 171.03/25.88 | | | | | | | | | | | | | | | (2295) all_65_12 = all_65_49
% 171.03/25.88 | | | | | | | | | | | | | | |
% 171.03/25.88 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_4, all_65_16, e3,
% 171.03/25.88 | | | | | | | | | | | | | | | all_61_4, simplifying with (638), (2287) gives:
% 171.03/25.88 | | | | | | | | | | | | | | | (2296) all_65_4 = all_65_16
% 171.03/25.88 | | | | | | | | | | | | | | |
% 171.03/25.88 | | | | | | | | | | | | | | | COMBINE_EQS: (2293), (2295) imply:
% 171.03/25.88 | | | | | | | | | | | | | | | (2297) all_65_3 = all_65_49
% 171.03/25.88 | | | | | | | | | | | | | | |
% 171.03/25.88 | | | | | | | | | | | | | | | COMBINE_EQS: (2294), (2296) imply:
% 171.03/25.88 | | | | | | | | | | | | | | | (2298) all_65_1 = all_65_16
% 171.03/25.88 | | | | | | | | | | | | | | |
% 171.03/25.88 | | | | | | | | | | | | | | | REDUCE: (635), (2298) imply:
% 171.03/25.88 | | | | | | | | | | | | | | | (2299) op(all_14_2, e2) = all_65_16
% 171.03/25.88 | | | | | | | | | | | | | | |
% 171.03/25.88 | | | | | | | | | | | | | | | REDUCE: (637), (2297) imply:
% 171.03/25.88 | | | | | | | | | | | | | | | (2300) op(all_14_2, e0) = all_65_49
% 171.03/25.88 | | | | | | | | | | | | | | |
% 171.03/25.88 | | | | | | | | | | | | | | | BETA: splitting (101) gives:
% 171.03/25.88 | | | | | | | | | | | | | | |
% 171.03/25.88 | | | | | | | | | | | | | | | Case 1:
% 171.03/25.88 | | | | | | | | | | | | | | | |
% 171.03/25.88 | | | | | | | | | | | | | | | | (2301) ~ (all_36_2 = e0)
% 171.03/25.88 | | | | | | | | | | | | | | | |
% 171.03/25.88 | | | | | | | | | | | | | | | | REDUCE: (557), (2301) imply:
% 171.03/25.88 | | | | | | | | | | | | | | | | (2302) ~ (all_14_2 = e0)
% 171.03/25.88 | | | | | | | | | | | | | | | |
% 171.03/25.88 | | | | | | | | | | | | | | | | BETA: splitting (107) gives:
% 171.03/25.88 | | | | | | | | | | | | | | | |
% 171.03/25.88 | | | | | | | | | | | | | | | | Case 1:
% 171.03/25.88 | | | | | | | | | | | | | | | | |
% 171.03/25.88 | | | | | | | | | | | | | | | | | (2303) ~ (all_40_2 = e1)
% 171.03/25.88 | | | | | | | | | | | | | | | | |
% 171.03/25.88 | | | | | | | | | | | | | | | | | REDUCE: (553), (2303) imply:
% 171.03/25.88 | | | | | | | | | | | | | | | | | (2304) ~ (all_14_2 = e1)
% 171.03/25.88 | | | | | | | | | | | | | | | | |
% 171.03/25.88 | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (50), (67), (151), (159), (162), (165),
% 171.03/25.88 | | | | | | | | | | | | | | | | | (166), (167), (168), (226), (230), (234), (235),
% 171.03/25.88 | | | | | | | | | | | | | | | | | (236), (237), (271), (475), (478), (481), (484),
% 171.03/25.88 | | | | | | | | | | | | | | | | | (534), (588), (599), (601), (603), (635), (636),
% 171.03/25.88 | | | | | | | | | | | | | | | | | (637), (638), (642), (646), (650), (666), (682),
% 171.03/25.88 | | | | | | | | | | | | | | | | | (698), (714), (715), (731), (732), (748), (749),
% 171.03/25.88 | | | | | | | | | | | | | | | | | (765), (851), (890), (2302), (2304) are
% 171.03/25.88 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #502.
% 171.03/25.88 | | | | | | | | | | | | | | | | |
% 171.03/25.88 | | | | | | | | | | | | | | | | Case 2:
% 171.03/25.88 | | | | | | | | | | | | | | | | |
% 171.03/25.88 | | | | | | | | | | | | | | | | | (2305) all_40_2 = e1
% 171.03/25.88 | | | | | | | | | | | | | | | | | (2306) op(e3, e1) = all_40_1 & $i(all_40_1) & ( ~
% 171.03/25.88 | | | | | | | | | | | | | | | | | (all_40_1 = e0) | ( ~ (all_40_0 = e2) & op(e0,
% 171.03/25.88 | | | | | | | | | | | | | | | | | e3) = all_40_0 & $i(all_40_0)))
% 171.03/25.88 | | | | | | | | | | | | | | | | |
% 171.03/25.88 | | | | | | | | | | | | | | | | | ALPHA: (2306) implies:
% 171.03/25.88 | | | | | | | | | | | | | | | | | (2307) op(e3, e1) = all_40_1
% 171.03/25.88 | | | | | | | | | | | | | | | | |
% 171.03/25.88 | | | | | | | | | | | | | | | | | COMBINE_EQS: (553), (2305) imply:
% 171.03/25.88 | | | | | | | | | | | | | | | | | (2308) all_14_2 = e1
% 171.03/25.88 | | | | | | | | | | | | | | | | |
% 171.03/25.88 | | | | | | | | | | | | | | | | | SIMP: (2308) implies:
% 171.03/25.88 | | | | | | | | | | | | | | | | | (2309) all_14_2 = e1
% 171.03/25.88 | | | | | | | | | | | | | | | | |
% 171.03/25.88 | | | | | | | | | | | | | | | | | COMBINE_EQS: (466), (2309) imply:
% 171.03/25.88 | | | | | | | | | | | | | | | | | (2310) all_48_2 = e1
% 171.03/25.88 | | | | | | | | | | | | | | | | |
% 171.03/25.88 | | | | | | | | | | | | | | | | | REDUCE: (599), (2309) imply:
% 171.03/25.88 | | | | | | | | | | | | | | | | | (2311) ~ (all_61_4 = e1)
% 171.03/25.88 | | | | | | | | | | | | | | | | |
% 171.03/25.88 | | | | | | | | | | | | | | | | | REDUCE: (634), (2309) imply:
% 171.03/25.88 | | | | | | | | | | | | | | | | | (2312) op(e1, e3) = all_65_0
% 171.03/25.88 | | | | | | | | | | | | | | | | |
% 171.03/25.88 | | | | | | | | | | | | | | | | | REDUCE: (2299), (2309) imply:
% 171.03/25.88 | | | | | | | | | | | | | | | | | (2313) op(e1, e2) = all_65_16
% 171.03/25.88 | | | | | | | | | | | | | | | | |
% 171.03/25.88 | | | | | | | | | | | | | | | | | REDUCE: (636), (2309) imply:
% 171.03/25.88 | | | | | | | | | | | | | | | | | (2314) op(e1, e1) = all_65_2
% 171.03/25.88 | | | | | | | | | | | | | | | | |
% 171.03/25.88 | | | | | | | | | | | | | | | | | REDUCE: (2300), (2309) imply:
% 171.03/25.88 | | | | | | | | | | | | | | | | | (2315) op(e1, e0) = all_65_49
% 171.03/25.88 | | | | | | | | | | | | | | | | |
% 171.03/25.88 | | | | | | | | | | | | | | | | | REDUCE: (698), (2309) imply:
% 171.03/25.88 | | | | | | | | | | | | | | | | | (2316) op(e3, e1) = all_65_0
% 171.03/25.88 | | | | | | | | | | | | | | | | |
% 171.03/25.88 | | | | | | | | | | | | | | | | | REDUCE: (715), (2309) imply:
% 171.03/25.88 | | | | | | | | | | | | | | | | | (2317) op(e2, e1) = all_65_16
% 171.03/25.88 | | | | | | | | | | | | | | | | |
% 171.03/25.88 | | | | | | | | | | | | | | | | | REDUCE: (732), (2309) imply:
% 171.03/25.88 | | | | | | | | | | | | | | | | | (2318) op(e1, e1) = all_65_32
% 171.03/25.88 | | | | | | | | | | | | | | | | |
% 171.03/25.88 | | | | | | | | | | | | | | | | | REDUCE: (749), (2309) imply:
% 171.03/25.88 | | | | | | | | | | | | | | | | | (2319) op(e0, e1) = all_65_49
% 171.03/25.88 | | | | | | | | | | | | | | | | |
% 171.03/25.88 | | | | | | | | | | | | | | | | | BETA: splitting (119) gives:
% 171.03/25.88 | | | | | | | | | | | | | | | | |
% 171.03/25.88 | | | | | | | | | | | | | | | | | Case 1:
% 171.03/25.88 | | | | | | | | | | | | | | | | | |
% 171.03/25.88 | | | | | | | | | | | | | | | | | | (2320) ~ (all_48_2 = e1)
% 171.03/25.88 | | | | | | | | | | | | | | | | | |
% 171.03/25.88 | | | | | | | | | | | | | | | | | | REDUCE: (2310), (2320) imply:
% 171.03/25.88 | | | | | | | | | | | | | | | | | | (2321) $false
% 171.03/25.88 | | | | | | | | | | | | | | | | | |
% 171.03/25.88 | | | | | | | | | | | | | | | | | | CLOSE: (2321) is inconsistent.
% 171.03/25.88 | | | | | | | | | | | | | | | | | |
% 171.03/25.88 | | | | | | | | | | | | | | | | | Case 2:
% 171.03/25.88 | | | | | | | | | | | | | | | | | |
% 171.03/25.88 | | | | | | | | | | | | | | | | | | (2322) op(e3, e1) = all_48_1 & $i(all_48_1) & ( ~
% 171.03/25.88 | | | | | | | | | | | | | | | | | | (all_48_1 = e2) | ( ~ (all_48_0 = e0) & op(e2,
% 171.03/25.88 | | | | | | | | | | | | | | | | | | e3) = all_48_0 & $i(all_48_0)))
% 171.03/25.88 | | | | | | | | | | | | | | | | | |
% 171.03/25.88 | | | | | | | | | | | | | | | | | | ALPHA: (2322) implies:
% 171.03/25.88 | | | | | | | | | | | | | | | | | | (2323) op(e3, e1) = all_48_1
% 171.03/25.88 | | | | | | | | | | | | | | | | | |
% 171.03/25.88 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_11, all_65_49, e1,
% 171.03/25.88 | | | | | | | | | | | | | | | | | | e0, simplifying with (224), (2319) gives:
% 171.03/25.88 | | | | | | | | | | | | | | | | | | (2324) all_65_49 = all_61_11
% 171.03/25.88 | | | | | | | | | | | | | | | | | |
% 171.03/25.88 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_14, all_65_49, e0,
% 171.03/25.88 | | | | | | | | | | | | | | | | | | e1, simplifying with (227), (2315) gives:
% 171.03/25.88 | | | | | | | | | | | | | | | | | | (2325) all_65_49 = all_61_14
% 171.03/25.88 | | | | | | | | | | | | | | | | | |
% 171.03/25.88 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e1, all_65_2, e1, e1,
% 171.03/25.88 | | | | | | | | | | | | | | | | | | simplifying with (876), (2314) gives:
% 171.03/25.88 | | | | | | | | | | | | | | | | | | (2326) all_65_2 = e1
% 171.03/25.88 | | | | | | | | | | | | | | | | | |
% 171.03/25.88 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_32, all_65_2, e1,
% 171.03/25.88 | | | | | | | | | | | | | | | | | | e1, simplifying with (2314), (2318) gives:
% 171.03/25.88 | | | | | | | | | | | | | | | | | | (2327) all_65_2 = all_65_32
% 171.03/25.88 | | | | | | | | | | | | | | | | | |
% 171.03/25.88 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_6, all_65_16, e2,
% 171.03/25.88 | | | | | | | | | | | | | | | | | | e1, simplifying with (229), (2313) gives:
% 171.03/25.88 | | | | | | | | | | | | | | | | | | (2328) all_65_16 = all_61_6
% 171.03/25.88 | | | | | | | | | | | | | | | | | |
% 171.03/25.88 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_2, all_65_0, e3,
% 171.03/25.88 | | | | | | | | | | | | | | | | | | e1, simplifying with (230), (2312) gives:
% 171.03/25.88 | | | | | | | | | | | | | | | | | | (2329) all_65_0 = all_61_2
% 171.03/25.88 | | | | | | | | | | | | | | | | | |
% 171.03/25.88 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_9, all_65_16, e1,
% 171.03/25.88 | | | | | | | | | | | | | | | | | | e2, simplifying with (232), (2317) gives:
% 171.03/25.88 | | | | | | | | | | | | | | | | | | (2330) all_65_16 = all_61_9
% 171.03/25.88 | | | | | | | | | | | | | | | | | |
% 171.03/25.88 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_8, all_48_1, e1,
% 171.03/25.88 | | | | | | | | | | | | | | | | | | e3, simplifying with (236), (2323) gives:
% 171.03/25.88 | | | | | | | | | | | | | | | | | | (2331) all_61_8 = all_48_1
% 171.03/25.88 | | | | | | | | | | | | | | | | | |
% 171.03/25.88 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_8, all_65_0, e1,
% 171.03/25.88 | | | | | | | | | | | | | | | | | | e3, simplifying with (236), (2316) gives:
% 171.03/25.88 | | | | | | | | | | | | | | | | | | (2332) all_65_0 = all_61_8
% 171.03/25.88 | | | | | | | | | | | | | | | | | |
% 171.03/25.88 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_40_1, all_65_0, e1,
% 171.03/25.88 | | | | | | | | | | | | | | | | | | e3, simplifying with (2307), (2316) gives:
% 171.03/25.88 | | | | | | | | | | | | | | | | | | (2333) all_65_0 = all_40_1
% 171.03/25.88 | | | | | | | | | | | | | | | | | |
% 171.03/25.88 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2329), (2333) imply:
% 171.03/25.88 | | | | | | | | | | | | | | | | | | (2334) all_61_2 = all_40_1
% 171.03/25.88 | | | | | | | | | | | | | | | | | |
% 171.03/25.88 | | | | | | | | | | | | | | | | | | SIMP: (2334) implies:
% 171.03/25.88 | | | | | | | | | | | | | | | | | | (2335) all_61_2 = all_40_1
% 171.03/25.88 | | | | | | | | | | | | | | | | | |
% 171.03/25.88 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2332), (2333) imply:
% 171.03/25.88 | | | | | | | | | | | | | | | | | | (2336) all_61_8 = all_40_1
% 171.03/25.88 | | | | | | | | | | | | | | | | | |
% 171.03/25.88 | | | | | | | | | | | | | | | | | | SIMP: (2336) implies:
% 171.03/25.88 | | | | | | | | | | | | | | | | | | (2337) all_61_8 = all_40_1
% 171.03/25.88 | | | | | | | | | | | | | | | | | |
% 171.03/25.88 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2326), (2327) imply:
% 171.03/25.88 | | | | | | | | | | | | | | | | | | (2338) all_65_32 = e1
% 171.03/25.88 | | | | | | | | | | | | | | | | | |
% 171.03/25.88 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2328), (2330) imply:
% 171.03/25.88 | | | | | | | | | | | | | | | | | | (2339) all_61_6 = all_61_9
% 171.03/25.88 | | | | | | | | | | | | | | | | | |
% 171.03/25.88 | | | | | | | | | | | | | | | | | | SIMP: (2339) implies:
% 171.03/25.88 | | | | | | | | | | | | | | | | | | (2340) all_61_6 = all_61_9
% 171.03/25.88 | | | | | | | | | | | | | | | | | |
% 171.03/25.88 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2324), (2325) imply:
% 171.03/25.88 | | | | | | | | | | | | | | | | | | (2341) all_61_11 = all_61_14
% 171.03/25.88 | | | | | | | | | | | | | | | | | |
% 171.03/25.88 | | | | | | | | | | | | | | | | | | SIMP: (2341) implies:
% 171.03/25.88 | | | | | | | | | | | | | | | | | | (2342) all_61_11 = all_61_14
% 171.03/25.88 | | | | | | | | | | | | | | | | | |
% 171.03/25.88 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2331), (2337) imply:
% 171.03/25.88 | | | | | | | | | | | | | | | | | | (2343) all_48_1 = all_40_1
% 171.03/25.88 | | | | | | | | | | | | | | | | | |
% 171.03/25.88 | | | | | | | | | | | | | | | | | | SIMP: (2343) implies:
% 171.03/25.88 | | | | | | | | | | | | | | | | | | (2344) all_48_1 = all_40_1
% 171.03/25.88 | | | | | | | | | | | | | | | | | |
% 171.03/25.88 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (499), (2335) imply:
% 171.03/25.88 | | | | | | | | | | | | | | | | | | (2345) all_63_8 = all_40_1
% 171.03/25.88 | | | | | | | | | | | | | | | | | |
% 171.03/25.88 | | | | | | | | | | | | | | | | | | REDUCE: (201), (2337) imply:
% 171.03/25.88 | | | | | | | | | | | | | | | | | | (2346) ~ (all_61_4 = all_40_1)
% 171.03/25.88 | | | | | | | | | | | | | | | | | |
% 171.03/25.88 | | | | | | | | | | | | | | | | | | REDUCE: (190), (2337) imply:
% 171.03/25.88 | | | | | | | | | | | | | | | | | | (2347) ~ (all_61_9 = all_40_1)
% 171.03/25.88 | | | | | | | | | | | | | | | | | |
% 171.03/25.88 | | | | | | | | | | | | | | | | | | SIMP: (2347) implies:
% 171.03/25.88 | | | | | | | | | | | | | | | | | | (2348) ~ (all_61_9 = all_40_1)
% 171.03/25.88 | | | | | | | | | | | | | | | | | |
% 171.03/25.88 | | | | | | | | | | | | | | | | | | REDUCE: (188), (2337), (2342) imply:
% 171.03/25.88 | | | | | | | | | | | | | | | | | | (2349) ~ (all_61_14 = all_40_1)
% 171.03/25.88 | | | | | | | | | | | | | | | | | |
% 171.03/25.88 | | | | | | | | | | | | | | | | | | SIMP: (2349) implies:
% 171.03/25.88 | | | | | | | | | | | | | | | | | | (2350) ~ (all_61_14 = all_40_1)
% 171.03/25.88 | | | | | | | | | | | | | | | | | |
% 171.03/25.88 | | | | | | | | | | | | | | | | | | REDUCE: (865), (2337) imply:
% 171.03/25.88 | | | | | | | | | | | | | | | | | | (2351) ~ (all_40_1 = e1)
% 171.03/25.88 | | | | | | | | | | | | | | | | | |
% 171.03/25.88 | | | | | | | | | | | | | | | | | | REDUCE: (185), (2342) imply:
% 171.03/25.88 | | | | | | | | | | | | | | | | | | (2352) ~ (all_61_9 = all_61_14)
% 171.03/25.88 | | | | | | | | | | | | | | | | | |
% 171.03/25.88 | | | | | | | | | | | | | | | | | | REDUCE: (2255), (2342) imply:
% 171.03/25.88 | | | | | | | | | | | | | | | | | | (2353) ~ (all_61_14 = e3)
% 171.03/25.88 | | | | | | | | | | | | | | | | | |
% 171.03/25.88 | | | | | | | | | | | | | | | | | | REDUCE: (666), (2335), (2338) imply:
% 171.03/25.88 | | | | | | | | | | | | | | | | | | (2354) op(all_40_1, e3) = e1
% 171.03/25.88 | | | | | | | | | | | | | | | | | |
% 171.03/25.88 | | | | | | | | | | | | | | | | | | REDUCE: (642), (2337) imply:
% 171.03/25.88 | | | | | | | | | | | | | | | | | | (2355) op(all_40_1, e3) = all_65_8
% 171.03/25.88 | | | | | | | | | | | | | | | | | |
% 171.03/25.88 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e1, all_65_8, e3,
% 171.03/25.88 | | | | | | | | | | | | | | | | | | all_40_1, simplifying with (2354), (2355) gives:
% 171.03/25.88 | | | | | | | | | | | | | | | | | | (2356) all_65_8 = e1
% 171.03/25.88 | | | | | | | | | | | | | | | | | |
% 171.03/25.88 | | | | | | | | | | | | | | | | | | BETA: splitting (157) gives:
% 171.03/25.88 | | | | | | | | | | | | | | | | | |
% 171.03/25.88 | | | | | | | | | | | | | | | | | | Case 1:
% 171.03/25.88 | | | | | | | | | | | | | | | | | | |
% 171.03/25.88 | | | | | | | | | | | | | | | | | | | (2357) ~ (all_58_3 = e1)
% 171.03/25.88 | | | | | | | | | | | | | | | | | | |
% 171.03/25.88 | | | | | | | | | | | | | | | | | | | REDUCE: (475), (2357) imply:
% 171.03/25.88 | | | | | | | | | | | | | | | | | | | (2358) ~ (all_52_3 = e1)
% 171.03/25.88 | | | | | | | | | | | | | | | | | | |
% 171.03/25.88 | | | | | | | | | | | | | | | | | | | BETA: splitting (160) gives:
% 171.03/25.88 | | | | | | | | | | | | | | | | | | |
% 171.03/25.88 | | | | | | | | | | | | | | | | | | | Case 1:
% 171.03/25.88 | | | | | | | | | | | | | | | | | | | |
% 171.03/25.88 | | | | | | | | | | | | | | | | | | | | (2359) ~ (all_58_2 = e0)
% 171.03/25.88 | | | | | | | | | | | | | | | | | | | |
% 171.03/25.88 | | | | | | | | | | | | | | | | | | | | REDUCE: (478), (2359) imply:
% 171.03/25.88 | | | | | | | | | | | | | | | | | | | | (2360) ~ (all_52_2 = e0)
% 171.03/25.88 | | | | | | | | | | | | | | | | | | | |
% 171.03/25.88 | | | | | | | | | | | | | | | | | | | | BETA: splitting (161) gives:
% 171.03/25.88 | | | | | | | | | | | | | | | | | | | |
% 171.03/25.88 | | | | | | | | | | | | | | | | | | | | Case 1:
% 171.03/25.88 | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.88 | | | | | | | | | | | | | | | | | | | | | (2361) ~ (all_58_2 = e2)
% 171.03/25.88 | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.88 | | | | | | | | | | | | | | | | | | | | | REDUCE: (478), (2361) imply:
% 171.03/25.88 | | | | | | | | | | | | | | | | | | | | | (2362) ~ (all_52_2 = e2)
% 171.03/25.88 | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.88 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (10), (50), (149), (162), (232), (270),
% 171.03/25.88 | | | | | | | | | | | | | | | | | | | | | (478), (484), (488), (538), (629), (714), (748),
% 171.03/25.88 | | | | | | | | | | | | | | | | | | | | | (876), (1556), (2285), (2307), (2311), (2346),
% 171.03/25.88 | | | | | | | | | | | | | | | | | | | | | (2354), (2360), (2362) are inconsistent by
% 171.03/25.88 | | | | | | | | | | | | | | | | | | | | | sub-proof #417.
% 171.03/25.88 | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.88 | | | | | | | | | | | | | | | | | | | | Case 2:
% 171.03/25.88 | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.88 | | | | | | | | | | | | | | | | | | | | | (2363) all_58_1 = e1
% 171.03/25.88 | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.88 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (481), (2363) imply:
% 171.03/25.88 | | | | | | | | | | | | | | | | | | | | | (2364) all_52_1 = e1
% 171.03/25.88 | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.88 | | | | | | | | | | | | | | | | | | | | | SIMP: (2364) implies:
% 171.03/25.88 | | | | | | | | | | | | | | | | | | | | | (2365) all_52_1 = e1
% 171.03/25.88 | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.88 | | | | | | | | | | | | | | | | | | | | | REDUCE: (731), (2365) imply:
% 171.03/25.88 | | | | | | | | | | | | | | | | | | | | | (2366) op(e2, e1) = unit
% 171.03/25.88 | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.88 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_9, unit, e1, e2,
% 171.03/25.88 | | | | | | | | | | | | | | | | | | | | | simplifying with (232), (2366) gives:
% 171.03/25.88 | | | | | | | | | | | | | | | | | | | | | (2367) all_61_9 = unit
% 171.03/25.88 | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.88 | | | | | | | | | | | | | | | | | | | | | REDUCE: (2285), (2367) imply:
% 171.03/25.88 | | | | | | | | | | | | | | | | | | | | | (2368) ~ (all_61_4 = unit)
% 171.03/25.88 | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.88 | | | | | | | | | | | | | | | | | | | | | REDUCE: (2352), (2367) imply:
% 171.03/25.88 | | | | | | | | | | | | | | | | | | | | | (2369) ~ (all_61_14 = unit)
% 171.03/25.88 | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.88 | | | | | | | | | | | | | | | | | | | | | SIMP: (2369) implies:
% 171.03/25.88 | | | | | | | | | | | | | | | | | | | | | (2370) ~ (all_61_14 = unit)
% 171.03/25.88 | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.88 | | | | | | | | | | | | | | | | | | | | | REDUCE: (2348), (2367) imply:
% 171.03/25.88 | | | | | | | | | | | | | | | | | | | | | (2371) ~ (all_40_1 = unit)
% 171.03/25.88 | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.88 | | | | | | | | | | | | | | | | | | | | | SIMP: (2371) implies:
% 171.03/25.88 | | | | | | | | | | | | | | | | | | | | | (2372) ~ (all_40_1 = unit)
% 171.03/25.88 | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.88 | | | | | | | | | | | | | | | | | | | | | REDUCE: (866), (2367) imply:
% 171.03/25.89 | | | | | | | | | | | | | | | | | | | | | (2373) ~ (unit = e1)
% 171.03/25.89 | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.89 | | | | | | | | | | | | | | | | | | | | | REDUCE: (1558), (2367) imply:
% 171.03/25.89 | | | | | | | | | | | | | | | | | | | | | (2374) ~ (unit = e0)
% 171.03/25.89 | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.89 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (852) gives:
% 171.03/25.89 | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.89 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 171.03/25.89 | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.89 | | | | | | | | | | | | | | | | | | | | | | (2375) unit = e2
% 171.03/25.89 | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.89 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2368), (2375) imply:
% 171.03/25.89 | | | | | | | | | | | | | | | | | | | | | | (2376) ~ (all_61_4 = e2)
% 171.03/25.89 | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.89 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2370), (2375) imply:
% 171.03/25.89 | | | | | | | | | | | | | | | | | | | | | | (2377) ~ (all_61_14 = e2)
% 171.03/25.89 | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.89 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2372), (2375) imply:
% 171.03/25.89 | | | | | | | | | | | | | | | | | | | | | | (2378) ~ (all_40_1 = e2)
% 171.03/25.89 | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.89 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (260) gives:
% 171.03/25.89 | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.89 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 171.03/25.89 | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.89 | | | | | | | | | | | | | | | | | | | | | | | (2379) all_63_11 = e3
% 171.03/25.89 | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.89 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (505), (2379) imply:
% 171.03/25.89 | | | | | | | | | | | | | | | | | | | | | | | (2380) all_61_14 = e3
% 171.03/25.89 | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.89 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2353), (2380) imply:
% 171.03/25.89 | | | | | | | | | | | | | | | | | | | | | | | (2381) $false
% 171.03/25.89 | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.89 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2381) is inconsistent.
% 171.03/25.89 | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.89 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 171.03/25.89 | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.89 | | | | | | | | | | | | | | | | | | | | | | | (2382) all_63_11 = e2 | all_63_11 = e1 | all_63_11 = e0
% 171.03/25.89 | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.89 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2382) gives:
% 171.03/25.89 | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.89 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 171.03/25.89 | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.89 | | | | | | | | | | | | | | | | | | | | | | | | (2383) all_63_11 = e2
% 171.03/25.89 | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.89 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (505), (2383) imply:
% 171.03/25.89 | | | | | | | | | | | | | | | | | | | | | | | | (2384) all_61_14 = e2
% 171.03/25.89 | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.89 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2377), (2384) imply:
% 171.03/25.89 | | | | | | | | | | | | | | | | | | | | | | | | (2385) $false
% 171.03/25.89 | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.89 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2385) is inconsistent.
% 171.03/25.89 | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.89 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 171.03/25.89 | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.89 | | | | | | | | | | | | | | | | | | | | | | | | (2386) all_63_11 = e1 | all_63_11 = e0
% 171.03/25.89 | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.89 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2386) gives:
% 171.03/25.89 | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.89 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 171.03/25.89 | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | (2387) all_63_11 = e1
% 171.03/25.89 | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (505), (2387) imply:
% 171.03/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | (2388) all_61_14 = e1
% 171.03/25.89 | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (868), (2388) imply:
% 171.03/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | (2389) $false
% 171.03/25.89 | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2389) is inconsistent.
% 171.03/25.89 | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.89 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 171.03/25.89 | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | (2390) all_63_11 = e0
% 171.03/25.89 | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (505), (2390) imply:
% 171.03/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | (2391) all_61_14 = e0
% 171.03/25.89 | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2350), (2391) imply:
% 171.03/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | (2392) ~ (all_40_1 = e0)
% 171.03/25.89 | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2392) implies:
% 171.03/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | (2393) ~ (all_40_1 = e0)
% 171.03/25.89 | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (267) gives:
% 171.03/25.89 | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 171.03/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | (2394) all_63_4 = e3
% 171.03/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2282), (2394) imply:
% 171.03/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | (2395) all_61_4 = e3
% 171.03/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2346), (2395) imply:
% 171.03/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | (2396) ~ (all_40_1 = e3)
% 171.03/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2396) implies:
% 171.03/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | (2397) ~ (all_40_1 = e3)
% 171.03/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (263), (2345), (2351), (2378), (2393), (2397) are
% 171.03/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #432.
% 171.03/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 171.03/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | (2398) ~ (all_63_4 = e3)
% 171.03/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2282), (2398) imply:
% 171.03/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | (2399) ~ (all_61_4 = e3)
% 171.03/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (270), (488), (1556), (2311), (2376), (2399) are
% 171.03/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #418.
% 171.03/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 171.03/25.89 | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.89 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 171.03/25.89 | | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.89 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 171.03/25.89 | | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.89 | | | | | | | | | | | | | | | | | | | | | | End of split
% 171.03/25.89 | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.89 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 171.03/25.89 | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.89 | | | | | | | | | | | | | | | | | | | | | | (2400) unit = e1 | unit = e0
% 171.03/25.89 | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.89 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2373), (2374), (2400) are inconsistent by
% 171.03/25.89 | | | | | | | | | | | | | | | | | | | | | | sub-proof #419.
% 171.03/25.89 | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.89 | | | | | | | | | | | | | | | | | | | | | End of split
% 171.03/25.89 | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.89 | | | | | | | | | | | | | | | | | | | | End of split
% 171.03/25.89 | | | | | | | | | | | | | | | | | | | |
% 171.03/25.89 | | | | | | | | | | | | | | | | | | | Case 2:
% 171.03/25.89 | | | | | | | | | | | | | | | | | | | |
% 171.03/25.89 | | | | | | | | | | | | | | | | | | | | (2401) all_58_3 = e1
% 171.03/25.89 | | | | | | | | | | | | | | | | | | | |
% 171.03/25.89 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (475), (2358), (2401) are inconsistent by
% 171.03/25.89 | | | | | | | | | | | | | | | | | | | | sub-proof #460.
% 171.03/25.89 | | | | | | | | | | | | | | | | | | | |
% 171.03/25.89 | | | | | | | | | | | | | | | | | | | End of split
% 171.03/25.89 | | | | | | | | | | | | | | | | | | |
% 171.03/25.89 | | | | | | | | | | | | | | | | | | Case 2:
% 171.03/25.89 | | | | | | | | | | | | | | | | | | |
% 171.03/25.89 | | | | | | | | | | | | | | | | | | | (2402) all_58_3 = e1
% 171.03/25.89 | | | | | | | | | | | | | | | | | | | (2403) all_58_2 = e0
% 171.03/25.89 | | | | | | | | | | | | | | | | | | |
% 171.03/25.89 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (50), (224), (227), (475), (478), (680),
% 171.03/25.89 | | | | | | | | | | | | | | | | | | | (748), (765), (868), (886), (2402), (2403) are
% 171.03/25.89 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #463.
% 171.03/25.89 | | | | | | | | | | | | | | | | | | |
% 171.03/25.89 | | | | | | | | | | | | | | | | | | End of split
% 171.03/25.89 | | | | | | | | | | | | | | | | | |
% 171.03/25.89 | | | | | | | | | | | | | | | | | End of split
% 171.03/25.89 | | | | | | | | | | | | | | | | |
% 171.03/25.89 | | | | | | | | | | | | | | | | End of split
% 171.03/25.89 | | | | | | | | | | | | | | | |
% 171.03/25.89 | | | | | | | | | | | | | | | Case 2:
% 171.03/25.89 | | | | | | | | | | | | | | | |
% 171.03/25.89 | | | | | | | | | | | | | | | | (2404) all_36_2 = e0
% 171.03/25.89 | | | | | | | | | | | | | | | |
% 171.03/25.89 | | | | | | | | | | | | | | | | COMBINE_EQS: (557), (2404) imply:
% 171.03/25.89 | | | | | | | | | | | | | | | | (2405) all_14_2 = e0
% 171.03/25.89 | | | | | | | | | | | | | | | |
% 171.03/25.89 | | | | | | | | | | | | | | | | SIMP: (2405) implies:
% 171.03/25.89 | | | | | | | | | | | | | | | | (2406) all_14_2 = e0
% 171.03/25.89 | | | | | | | | | | | | | | | |
% 171.03/25.89 | | | | | | | | | | | | | | | | REDUCE: (595), (2406) imply:
% 171.03/25.89 | | | | | | | | | | | | | | | | (2407) ~ (all_61_2 = e0)
% 171.03/25.89 | | | | | | | | | | | | | | | |
% 171.03/25.89 | | | | | | | | | | | | | | | | REDUCE: (715), (2406) imply:
% 171.03/25.89 | | | | | | | | | | | | | | | | (2408) op(e2, e0) = all_65_16
% 171.03/25.89 | | | | | | | | | | | | | | | |
% 171.03/25.89 | | | | | | | | | | | | | | | | REDUCE: (749), (2406) imply:
% 171.03/25.89 | | | | | | | | | | | | | | | | (2409) op(e0, e0) = all_65_49
% 171.03/25.89 | | | | | | | | | | | | | | | |
% 171.03/25.89 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e3, all_65_49, e0, e0,
% 171.03/25.89 | | | | | | | | | | | | | | | | simplifying with (2266), (2409) gives:
% 171.03/25.89 | | | | | | | | | | | | | | | | (2410) all_65_49 = e3
% 171.03/25.89 | | | | | | | | | | | | | | | |
% 171.03/25.89 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_22_1, all_65_16, e0,
% 171.03/25.89 | | | | | | | | | | | | | | | | e2, simplifying with (1552), (2408) gives:
% 171.03/25.89 | | | | | | | | | | | | | | | | (2411) all_65_16 = all_22_1
% 171.03/25.89 | | | | | | | | | | | | | | | |
% 171.03/25.89 | | | | | | | | | | | | | | | | REDUCE: (2287), (2411) imply:
% 171.03/25.89 | | | | | | | | | | | | | | | | (2412) op(all_61_4, e3) = all_22_1
% 171.03/25.89 | | | | | | | | | | | | | | | |
% 171.03/25.89 | | | | | | | | | | | | | | | | BETA: splitting (161) gives:
% 171.03/25.89 | | | | | | | | | | | | | | | |
% 171.03/25.89 | | | | | | | | | | | | | | | | Case 1:
% 171.03/25.89 | | | | | | | | | | | | | | | | |
% 171.03/25.89 | | | | | | | | | | | | | | | | | (2413) ~ (all_58_2 = e2)
% 171.03/25.89 | | | | | | | | | | | | | | | | |
% 171.03/25.89 | | | | | | | | | | | | | | | | | REDUCE: (478), (2413) imply:
% 171.03/25.89 | | | | | | | | | | | | | | | | | (2414) ~ (all_52_2 = e2)
% 171.03/25.89 | | | | | | | | | | | | | | | | |
% 171.03/25.89 | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (9), (10), (23), (50), (150), (163), (164),
% 171.03/25.89 | | | | | | | | | | | | | | | | | (165), (237), (478), (481), (484), (536), (714),
% 171.03/25.89 | | | | | | | | | | | | | | | | | (731), (851), (1552), (1566), (2256), (2257),
% 171.03/25.89 | | | | | | | | | | | | | | | | | (2266), (2412), (2414) are inconsistent by
% 171.03/25.89 | | | | | | | | | | | | | | | | | sub-proof #389.
% 171.03/25.89 | | | | | | | | | | | | | | | | |
% 171.03/25.89 | | | | | | | | | | | | | | | | Case 2:
% 171.03/25.89 | | | | | | | | | | | | | | | | |
% 171.03/25.89 | | | | | | | | | | | | | | | | | (2415) all_58_2 = e2
% 171.03/25.89 | | | | | | | | | | | | | | | | | (2416) all_58_1 = e1
% 171.03/25.89 | | | | | | | | | | | | | | | | |
% 171.03/25.89 | | | | | | | | | | | | | | | | | COMBINE_EQS: (481), (2416) imply:
% 171.03/25.89 | | | | | | | | | | | | | | | | | (2417) all_52_1 = e1
% 171.03/25.89 | | | | | | | | | | | | | | | | |
% 171.03/25.89 | | | | | | | | | | | | | | | | | SIMP: (2417) implies:
% 171.03/25.89 | | | | | | | | | | | | | | | | | (2418) all_52_1 = e1
% 171.03/25.89 | | | | | | | | | | | | | | | | |
% 171.03/25.89 | | | | | | | | | | | | | | | | | COMBINE_EQS: (478), (2415) imply:
% 171.03/25.89 | | | | | | | | | | | | | | | | | (2419) all_52_2 = e2
% 171.03/25.89 | | | | | | | | | | | | | | | | |
% 171.03/25.89 | | | | | | | | | | | | | | | | | SIMP: (2419) implies:
% 171.03/25.89 | | | | | | | | | | | | | | | | | (2420) all_52_2 = e2
% 171.03/25.89 | | | | | | | | | | | | | | | | |
% 171.03/25.89 | | | | | | | | | | | | | | | | | REDUCE: (731), (2418) imply:
% 171.03/25.89 | | | | | | | | | | | | | | | | | (2421) op(e2, e1) = unit
% 171.03/25.89 | | | | | | | | | | | | | | | | |
% 171.03/25.89 | | | | | | | | | | | | | | | | | REDUCE: (748), (2420) imply:
% 171.03/25.89 | | | | | | | | | | | | | | | | | (2422) op(e1, e2) = unit
% 171.03/25.89 | | | | | | | | | | | | | | | | |
% 171.03/25.89 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_6, unit, e2, e1,
% 171.03/25.89 | | | | | | | | | | | | | | | | | simplifying with (229), (2422) gives:
% 171.03/25.89 | | | | | | | | | | | | | | | | | (2423) all_61_6 = unit
% 171.03/25.89 | | | | | | | | | | | | | | | | |
% 171.03/25.89 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_9, unit, e1, e2,
% 171.03/25.89 | | | | | | | | | | | | | | | | | simplifying with (232), (2421) gives:
% 171.03/25.89 | | | | | | | | | | | | | | | | | (2424) all_61_9 = unit
% 171.03/25.89 | | | | | | | | | | | | | | | | |
% 171.03/25.89 | | | | | | | | | | | | | | | | | REDUCE: (210), (2423) imply:
% 171.03/25.89 | | | | | | | | | | | | | | | | | (2425) ~ (all_61_2 = unit)
% 171.03/25.89 | | | | | | | | | | | | | | | | |
% 171.03/25.89 | | | | | | | | | | | | | | | | | REDUCE: (2285), (2424) imply:
% 171.03/25.89 | | | | | | | | | | | | | | | | | (2426) ~ (all_61_4 = unit)
% 171.03/25.89 | | | | | | | | | | | | | | | | |
% 171.03/25.89 | | | | | | | | | | | | | | | | | REDUCE: (1596), (2424) imply:
% 171.03/25.89 | | | | | | | | | | | | | | | | | (2427) ~ (all_22_1 = unit)
% 171.03/25.89 | | | | | | | | | | | | | | | | |
% 171.03/25.89 | | | | | | | | | | | | | | | | | SIMP: (2427) implies:
% 171.03/25.89 | | | | | | | | | | | | | | | | | (2428) ~ (all_22_1 = unit)
% 171.03/25.89 | | | | | | | | | | | | | | | | |
% 171.03/25.89 | | | | | | | | | | | | | | | | | REDUCE: (866), (2424) imply:
% 171.03/25.89 | | | | | | | | | | | | | | | | | (2429) ~ (unit = e1)
% 171.03/25.89 | | | | | | | | | | | | | | | | |
% 171.03/25.89 | | | | | | | | | | | | | | | | | REDUCE: (1558), (2424) imply:
% 171.03/25.89 | | | | | | | | | | | | | | | | | (2430) ~ (unit = e0)
% 171.03/25.89 | | | | | | | | | | | | | | | | |
% 171.03/25.89 | | | | | | | | | | | | | | | | | BETA: splitting (852) gives:
% 171.03/25.89 | | | | | | | | | | | | | | | | |
% 171.03/25.89 | | | | | | | | | | | | | | | | | Case 1:
% 171.03/25.89 | | | | | | | | | | | | | | | | | |
% 171.03/25.89 | | | | | | | | | | | | | | | | | | (2431) unit = e2
% 171.03/25.89 | | | | | | | | | | | | | | | | | |
% 171.03/25.89 | | | | | | | | | | | | | | | | | | REDUCE: (2425), (2431) imply:
% 171.03/25.89 | | | | | | | | | | | | | | | | | | (2432) ~ (all_61_2 = e2)
% 171.03/25.89 | | | | | | | | | | | | | | | | | |
% 171.03/25.89 | | | | | | | | | | | | | | | | | | REDUCE: (2426), (2431) imply:
% 171.03/25.89 | | | | | | | | | | | | | | | | | | (2433) ~ (all_61_4 = e2)
% 171.03/25.89 | | | | | | | | | | | | | | | | | |
% 171.03/25.89 | | | | | | | | | | | | | | | | | | REDUCE: (2428), (2431) imply:
% 171.03/25.89 | | | | | | | | | | | | | | | | | | (2434) ~ (all_22_1 = e2)
% 171.03/25.89 | | | | | | | | | | | | | | | | | |
% 171.03/25.89 | | | | | | | | | | | | | | | | | | BETA: splitting (258) gives:
% 171.03/25.89 | | | | | | | | | | | | | | | | | |
% 171.03/25.89 | | | | | | | | | | | | | | | | | | Case 1:
% 171.03/25.89 | | | | | | | | | | | | | | | | | | |
% 171.03/25.89 | | | | | | | | | | | | | | | | | | | (2435) all_63_13 = e3
% 171.03/25.89 | | | | | | | | | | | | | | | | | | |
% 171.03/25.89 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1592), (2435) imply:
% 171.03/25.89 | | | | | | | | | | | | | | | | | | | (2436) all_22_1 = e3
% 171.03/25.89 | | | | | | | | | | | | | | | | | | |
% 171.03/25.89 | | | | | | | | | | | | | | | | | | | REDUCE: (2256), (2436) imply:
% 171.03/25.89 | | | | | | | | | | | | | | | | | | | (2437) $false
% 171.03/25.89 | | | | | | | | | | | | | | | | | | |
% 171.03/25.89 | | | | | | | | | | | | | | | | | | | CLOSE: (2437) is inconsistent.
% 171.03/25.89 | | | | | | | | | | | | | | | | | | |
% 171.03/25.89 | | | | | | | | | | | | | | | | | | Case 2:
% 171.03/25.89 | | | | | | | | | | | | | | | | | | |
% 171.03/25.89 | | | | | | | | | | | | | | | | | | | (2438) all_63_13 = e2 | all_63_13 = e1 | all_63_13 = e0
% 171.03/25.89 | | | | | | | | | | | | | | | | | | |
% 171.03/25.89 | | | | | | | | | | | | | | | | | | | BETA: splitting (2438) gives:
% 171.03/25.89 | | | | | | | | | | | | | | | | | | |
% 171.03/25.89 | | | | | | | | | | | | | | | | | | | Case 1:
% 171.03/25.89 | | | | | | | | | | | | | | | | | | | |
% 171.03/25.89 | | | | | | | | | | | | | | | | | | | | (2439) all_63_13 = e2
% 171.03/25.89 | | | | | | | | | | | | | | | | | | | |
% 171.03/25.89 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1592), (2439) imply:
% 171.03/25.89 | | | | | | | | | | | | | | | | | | | | (2440) all_22_1 = e2
% 171.03/25.89 | | | | | | | | | | | | | | | | | | | |
% 171.03/25.89 | | | | | | | | | | | | | | | | | | | | REDUCE: (2434), (2440) imply:
% 171.03/25.89 | | | | | | | | | | | | | | | | | | | | (2441) $false
% 171.03/25.89 | | | | | | | | | | | | | | | | | | | |
% 171.03/25.89 | | | | | | | | | | | | | | | | | | | | CLOSE: (2441) is inconsistent.
% 171.03/25.89 | | | | | | | | | | | | | | | | | | | |
% 171.03/25.90 | | | | | | | | | | | | | | | | | | | Case 2:
% 171.03/25.90 | | | | | | | | | | | | | | | | | | | |
% 171.03/25.90 | | | | | | | | | | | | | | | | | | | | (2442) all_63_13 = e1 | all_63_13 = e0
% 171.03/25.90 | | | | | | | | | | | | | | | | | | | |
% 171.03/25.90 | | | | | | | | | | | | | | | | | | | | BETA: splitting (2442) gives:
% 171.03/25.90 | | | | | | | | | | | | | | | | | | | |
% 171.03/25.90 | | | | | | | | | | | | | | | | | | | | Case 1:
% 171.03/25.90 | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.90 | | | | | | | | | | | | | | | | | | | | | (2443) all_63_13 = e1
% 171.03/25.90 | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.90 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1592), (2443) imply:
% 171.03/25.90 | | | | | | | | | | | | | | | | | | | | | (2444) all_22_1 = e1
% 171.03/25.90 | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.90 | | | | | | | | | | | | | | | | | | | | | REDUCE: (2286), (2444) imply:
% 171.03/25.90 | | | | | | | | | | | | | | | | | | | | | (2445) ~ (all_61_4 = e1)
% 171.03/25.90 | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.90 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (263) gives:
% 171.03/25.90 | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.90 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 171.03/25.90 | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.90 | | | | | | | | | | | | | | | | | | | | | | (2446) all_63_8 = e3
% 171.03/25.90 | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.90 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (499), (2446) imply:
% 171.03/25.90 | | | | | | | | | | | | | | | | | | | | | | (2447) all_61_2 = e3
% 171.03/25.90 | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.90 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2284), (2447) imply:
% 171.03/25.90 | | | | | | | | | | | | | | | | | | | | | | (2448) ~ (all_61_4 = e3)
% 171.03/25.90 | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.90 | | | | | | | | | | | | | | | | | | | | | | SIMP: (2448) implies:
% 171.03/25.90 | | | | | | | | | | | | | | | | | | | | | | (2449) ~ (all_61_4 = e3)
% 171.03/25.90 | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.90 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (270), (488), (1556), (2433), (2445), (2449) are
% 171.03/25.90 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #418.
% 171.03/25.90 | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.90 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 171.03/25.90 | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.90 | | | | | | | | | | | | | | | | | | | | | | (2450) all_63_8 = e2 | all_63_8 = e1 | all_63_8 = e0
% 171.03/25.90 | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.90 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (499), (863), (2407), (2432), (2450) are
% 171.03/25.90 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #386.
% 171.03/25.90 | | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.90 | | | | | | | | | | | | | | | | | | | | | End of split
% 171.03/25.90 | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.90 | | | | | | | | | | | | | | | | | | | | Case 2:
% 171.03/25.90 | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.90 | | | | | | | | | | | | | | | | | | | | | (2451) all_63_13 = e0
% 171.03/25.90 | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.90 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1592), (2451) imply:
% 171.03/25.90 | | | | | | | | | | | | | | | | | | | | | (2452) all_22_1 = e0
% 171.03/25.90 | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.90 | | | | | | | | | | | | | | | | | | | | | REDUCE: (1598), (2452) imply:
% 171.03/25.90 | | | | | | | | | | | | | | | | | | | | | (2453) $false
% 171.03/25.90 | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.90 | | | | | | | | | | | | | | | | | | | | | CLOSE: (2453) is inconsistent.
% 171.03/25.90 | | | | | | | | | | | | | | | | | | | | |
% 171.03/25.90 | | | | | | | | | | | | | | | | | | | | End of split
% 171.03/25.90 | | | | | | | | | | | | | | | | | | | |
% 171.03/25.90 | | | | | | | | | | | | | | | | | | | End of split
% 171.03/25.90 | | | | | | | | | | | | | | | | | | |
% 171.03/25.90 | | | | | | | | | | | | | | | | | | End of split
% 171.03/25.90 | | | | | | | | | | | | | | | | | |
% 171.03/25.90 | | | | | | | | | | | | | | | | | Case 2:
% 171.03/25.90 | | | | | | | | | | | | | | | | | |
% 171.03/25.90 | | | | | | | | | | | | | | | | | | (2454) unit = e1 | unit = e0
% 171.03/25.90 | | | | | | | | | | | | | | | | | |
% 171.03/25.90 | | | | | | | | | | | | | | | | | | REF_CLOSE: (2429), (2430), (2454) are inconsistent by
% 171.03/25.90 | | | | | | | | | | | | | | | | | | sub-proof #419.
% 171.03/25.90 | | | | | | | | | | | | | | | | | |
% 171.03/25.90 | | | | | | | | | | | | | | | | | End of split
% 171.03/25.90 | | | | | | | | | | | | | | | | |
% 171.03/25.90 | | | | | | | | | | | | | | | | End of split
% 171.03/25.90 | | | | | | | | | | | | | | | |
% 171.03/25.90 | | | | | | | | | | | | | | | End of split
% 171.03/25.90 | | | | | | | | | | | | | | |
% 171.03/25.90 | | | | | | | | | | | | | | End of split
% 171.03/25.90 | | | | | | | | | | | | | |
% 171.03/25.90 | | | | | | | | | | | | | End of split
% 171.03/25.90 | | | | | | | | | | | | |
% 171.03/25.90 | | | | | | | | | | | | End of split
% 171.03/25.90 | | | | | | | | | | | |
% 171.03/25.90 | | | | | | | | | | | Case 2:
% 171.03/25.90 | | | | | | | | | | | |
% 171.03/25.90 | | | | | | | | | | | | (2455) all_20_2 = e2
% 171.03/25.90 | | | | | | | | | | | | (2456) op(e0, e2) = all_20_1 & $i(all_20_1) & ( ~
% 171.03/25.90 | | | | | | | | | | | | (all_20_1 = e1) | ( ~ (all_20_0 = e3) & op(e1,
% 171.03/25.90 | | | | | | | | | | | | e0) = all_20_0 & $i(all_20_0)))
% 171.03/25.90 | | | | | | | | | | | |
% 171.03/25.90 | | | | | | | | | | | | ALPHA: (2456) implies:
% 171.03/25.90 | | | | | | | | | | | | (2457) op(e0, e2) = all_20_1
% 171.03/25.90 | | | | | | | | | | | | (2458) ~ (all_20_1 = e1) | ( ~ (all_20_0 = e3) & op(e1,
% 171.03/25.90 | | | | | | | | | | | | e0) = all_20_0 & $i(all_20_0))
% 171.03/25.90 | | | | | | | | | | | |
% 171.03/25.90 | | | | | | | | | | | | COMBINE_EQS: (581), (2455) imply:
% 171.03/25.90 | | | | | | | | | | | | (2459) all_46_2 = e2
% 171.03/25.90 | | | | | | | | | | | |
% 171.03/25.90 | | | | | | | | | | | | REDUCE: (606), (2455) imply:
% 171.03/25.90 | | | | | | | | | | | | (2460) ~ (all_61_3 = e2)
% 171.03/25.90 | | | | | | | | | | | |
% 171.03/25.90 | | | | | | | | | | | | REDUCE: (625), (2455) imply:
% 171.03/25.90 | | | | | | | | | | | | (2461) ~ (all_61_12 = e2)
% 171.03/25.90 | | | | | | | | | | | |
% 171.03/25.90 | | | | | | | | | | | | REDUCE: (626), (2455) imply:
% 171.03/25.90 | | | | | | | | | | | | (2462) ~ (all_61_13 = e2)
% 171.03/25.90 | | | | | | | | | | | |
% 171.03/25.90 | | | | | | | | | | | | REDUCE: (694), (2455) imply:
% 171.03/25.90 | | | | | | | | | | | | (2463) op(e2, e3) = all_65_73
% 171.03/25.90 | | | | | | | | | | | |
% 171.03/25.90 | | | | | | | | | | | | REDUCE: (695), (2455) imply:
% 171.03/25.90 | | | | | | | | | | | | (2464) op(e2, e2) = all_65_75
% 171.03/25.90 | | | | | | | | | | | |
% 171.03/25.90 | | | | | | | | | | | | REDUCE: (696), (2455) imply:
% 171.03/25.90 | | | | | | | | | | | | (2465) op(e2, e1) = all_65_77
% 171.03/25.90 | | | | | | | | | | | |
% 171.03/25.90 | | | | | | | | | | | | REDUCE: (697), (2455) imply:
% 171.03/25.90 | | | | | | | | | | | | (2466) op(e2, e0) = all_65_78
% 171.03/25.90 | | | | | | | | | | | |
% 171.03/25.90 | | | | | | | | | | | | REDUCE: (713), (2455) imply:
% 171.03/25.90 | | | | | | | | | | | | (2467) op(e3, e2) = all_65_15
% 171.03/25.90 | | | | | | | | | | | |
% 171.03/25.90 | | | | | | | | | | | | REDUCE: (730), (2455) imply:
% 171.03/25.90 | | | | | | | | | | | | (2468) op(e2, e2) = all_65_31
% 171.03/25.90 | | | | | | | | | | | |
% 171.03/25.90 | | | | | | | | | | | | REDUCE: (747), (2455) imply:
% 171.03/25.90 | | | | | | | | | | | | (2469) op(e1, e2) = all_65_47
% 171.03/25.90 | | | | | | | | | | | |
% 171.03/25.90 | | | | | | | | | | | | REDUCE: (764), (2455) imply:
% 171.03/25.90 | | | | | | | | | | | | (2470) op(e0, e2) = all_65_78
% 171.03/25.90 | | | | | | | | | | | |
% 171.03/25.90 | | | | | | | | | | | | REDUCE: (76), (2455) imply:
% 171.03/25.90 | | | | | | | | | | | | (2471) op(e0, e0) = e2
% 171.03/25.90 | | | | | | | | | | | |
% 171.03/25.90 | | | | | | | | | | | | BETA: splitting (116) gives:
% 171.03/25.90 | | | | | | | | | | | |
% 171.03/25.90 | | | | | | | | | | | | Case 1:
% 171.03/25.90 | | | | | | | | | | | | |
% 171.03/25.90 | | | | | | | | | | | | | (2472) ~ (all_46_2 = e2)
% 171.03/25.90 | | | | | | | | | | | | |
% 171.03/25.90 | | | | | | | | | | | | | REDUCE: (2459), (2472) imply:
% 171.03/25.90 | | | | | | | | | | | | | (2473) $false
% 171.03/25.90 | | | | | | | | | | | | |
% 171.03/25.90 | | | | | | | | | | | | | CLOSE: (2473) is inconsistent.
% 171.03/25.90 | | | | | | | | | | | | |
% 171.03/25.90 | | | | | | | | | | | | Case 2:
% 171.03/25.90 | | | | | | | | | | | | |
% 171.03/25.90 | | | | | | | | | | | | | (2474) op(e0, e2) = all_46_1 & $i(all_46_1) & ( ~
% 171.03/25.90 | | | | | | | | | | | | | (all_46_1 = e3) | ( ~ (all_46_0 = e1) & op(e3,
% 171.03/25.90 | | | | | | | | | | | | | e0) = all_46_0 & $i(all_46_0)))
% 171.03/25.90 | | | | | | | | | | | | |
% 171.03/25.90 | | | | | | | | | | | | | ALPHA: (2474) implies:
% 171.03/25.90 | | | | | | | | | | | | | (2475) op(e0, e2) = all_46_1
% 171.03/25.90 | | | | | | | | | | | | | (2476) ~ (all_46_1 = e3) | ( ~ (all_46_0 = e1) & op(e3,
% 171.03/25.90 | | | | | | | | | | | | | e0) = all_46_0 & $i(all_46_0))
% 171.03/25.90 | | | | | | | | | | | | |
% 171.03/25.90 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_7, all_46_1, e2,
% 171.03/25.90 | | | | | | | | | | | | | e0, simplifying with (225), (2475) gives:
% 171.03/25.90 | | | | | | | | | | | | | (2477) all_61_7 = all_46_1
% 171.03/25.90 | | | | | | | | | | | | |
% 171.03/25.90 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_7, all_65_78, e2,
% 171.03/25.90 | | | | | | | | | | | | | e0, simplifying with (225), (2470) gives:
% 171.03/25.90 | | | | | | | | | | | | | (2478) all_65_78 = all_61_7
% 171.03/25.90 | | | | | | | | | | | | |
% 171.03/25.90 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_20_1, all_65_78, e2,
% 171.03/25.90 | | | | | | | | | | | | | e0, simplifying with (2457), (2470) gives:
% 171.03/25.90 | | | | | | | | | | | | | (2479) all_65_78 = all_20_1
% 171.03/25.90 | | | | | | | | | | | | |
% 171.03/25.90 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_6, all_65_47, e2,
% 171.03/25.90 | | | | | | | | | | | | | e1, simplifying with (229), (2469) gives:
% 171.03/25.90 | | | | | | | | | | | | | (2480) all_65_47 = all_61_6
% 171.03/25.90 | | | | | | | | | | | | |
% 171.03/25.90 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_13, all_65_78, e0,
% 171.03/25.90 | | | | | | | | | | | | | e2, simplifying with (231), (2466) gives:
% 171.03/25.90 | | | | | | | | | | | | | (2481) all_65_78 = all_61_13
% 171.03/25.90 | | | | | | | | | | | | |
% 171.03/25.90 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_9, all_65_77, e1,
% 171.03/25.90 | | | | | | | | | | | | | e2, simplifying with (232), (2465) gives:
% 171.03/25.90 | | | | | | | | | | | | | (2482) all_65_77 = all_61_9
% 171.03/25.90 | | | | | | | | | | | | |
% 171.03/25.90 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_6_2, all_65_31, e2,
% 171.03/25.90 | | | | | | | | | | | | | e2, simplifying with (55), (2468) gives:
% 171.03/25.90 | | | | | | | | | | | | | (2483) all_65_31 = all_6_2
% 171.03/25.90 | | | | | | | | | | | | |
% 171.03/25.90 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_75, all_65_31, e2,
% 171.03/25.90 | | | | | | | | | | | | | e2, simplifying with (2464), (2468) gives:
% 171.03/25.90 | | | | | | | | | | | | | (2484) all_65_31 = all_65_75
% 171.03/25.90 | | | | | | | | | | | | |
% 171.03/25.90 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_1, all_65_73, e3,
% 171.03/25.90 | | | | | | | | | | | | | e2, simplifying with (234), (2463) gives:
% 171.03/25.91 | | | | | | | | | | | | | (2485) all_65_73 = all_61_1
% 171.03/25.91 | | | | | | | | | | | | |
% 171.03/25.91 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_4, all_65_15, e2,
% 171.03/25.91 | | | | | | | | | | | | | e3, simplifying with (237), (2467) gives:
% 171.03/25.91 | | | | | | | | | | | | | (2486) all_65_15 = all_61_4
% 171.03/25.91 | | | | | | | | | | | | |
% 171.03/25.91 | | | | | | | | | | | | | COMBINE_EQS: (2483), (2484) imply:
% 171.03/25.91 | | | | | | | | | | | | | (2487) all_65_75 = all_6_2
% 171.03/25.91 | | | | | | | | | | | | |
% 171.03/25.91 | | | | | | | | | | | | | COMBINE_EQS: (2479), (2481) imply:
% 171.03/25.91 | | | | | | | | | | | | | (2488) all_61_13 = all_20_1
% 171.03/25.91 | | | | | | | | | | | | |
% 171.03/25.91 | | | | | | | | | | | | | COMBINE_EQS: (2478), (2481) imply:
% 171.03/25.91 | | | | | | | | | | | | | (2489) all_61_7 = all_61_13
% 171.03/25.91 | | | | | | | | | | | | |
% 171.03/25.91 | | | | | | | | | | | | | SIMP: (2489) implies:
% 171.03/25.91 | | | | | | | | | | | | | (2490) all_61_7 = all_61_13
% 171.03/25.91 | | | | | | | | | | | | |
% 171.03/25.91 | | | | | | | | | | | | | COMBINE_EQS: (2477), (2490) imply:
% 171.03/25.91 | | | | | | | | | | | | | (2491) all_61_13 = all_46_1
% 171.03/25.91 | | | | | | | | | | | | |
% 171.03/25.91 | | | | | | | | | | | | | SIMP: (2491) implies:
% 171.03/25.91 | | | | | | | | | | | | | (2492) all_61_13 = all_46_1
% 171.03/25.91 | | | | | | | | | | | | |
% 171.03/25.91 | | | | | | | | | | | | | COMBINE_EQS: (2488), (2492) imply:
% 171.03/25.91 | | | | | | | | | | | | | (2493) all_46_1 = all_20_1
% 171.03/25.91 | | | | | | | | | | | | |
% 171.03/25.91 | | | | | | | | | | | | | COMBINE_EQS: (2477), (2493) imply:
% 171.03/25.91 | | | | | | | | | | | | | (2494) all_61_7 = all_20_1
% 171.03/25.91 | | | | | | | | | | | | |
% 171.03/25.91 | | | | | | | | | | | | | COMBINE_EQS: (508), (2494) imply:
% 171.03/25.91 | | | | | | | | | | | | | (2495) all_63_13 = all_20_1
% 171.03/25.91 | | | | | | | | | | | | |
% 171.03/25.91 | | | | | | | | | | | | | REDUCE: (212), (2488) imply:
% 171.03/25.91 | | | | | | | | | | | | | (2496) ~ (all_61_1 = all_20_1)
% 171.03/25.91 | | | | | | | | | | | | |
% 171.03/25.91 | | | | | | | | | | | | | REDUCE: (202), (2494) imply:
% 171.03/25.91 | | | | | | | | | | | | | (2497) ~ (all_61_4 = all_20_1)
% 171.03/25.91 | | | | | | | | | | | | |
% 171.03/25.91 | | | | | | | | | | | | | REDUCE: (184), (2488) imply:
% 171.03/25.91 | | | | | | | | | | | | | (2498) ~ (all_61_9 = all_20_1)
% 171.03/25.91 | | | | | | | | | | | | |
% 171.03/25.91 | | | | | | | | | | | | | REDUCE: (180), (2488) imply:
% 171.03/25.91 | | | | | | | | | | | | | (2499) ~ (all_61_12 = all_20_1)
% 171.03/25.91 | | | | | | | | | | | | |
% 171.03/25.91 | | | | | | | | | | | | | REDUCE: (177), (2488) imply:
% 171.03/25.91 | | | | | | | | | | | | | (2500) ~ (all_61_14 = all_20_1)
% 171.03/25.91 | | | | | | | | | | | | |
% 171.03/25.91 | | | | | | | | | | | | | SIMP: (2500) implies:
% 171.03/25.91 | | | | | | | | | | | | | (2501) ~ (all_61_14 = all_20_1)
% 171.03/25.91 | | | | | | | | | | | | |
% 171.03/25.91 | | | | | | | | | | | | | REDUCE: (615), (2488) imply:
% 171.03/25.91 | | | | | | | | | | | | | (2502) ~ (all_20_1 = all_6_2)
% 171.03/25.91 | | | | | | | | | | | | |
% 171.03/25.91 | | | | | | | | | | | | | REDUCE: (2462), (2488) imply:
% 171.03/25.91 | | | | | | | | | | | | | (2503) ~ (all_20_1 = e2)
% 171.03/25.91 | | | | | | | | | | | | |
% 171.03/25.91 | | | | | | | | | | | | | REDUCE: (686), (2494) imply:
% 171.03/25.91 | | | | | | | | | | | | | (2504) op(all_20_1, e3) = all_65_57
% 171.03/25.91 | | | | | | | | | | | | |
% 171.03/25.91 | | | | | | | | | | | | | REDUCE: (687), (2494) imply:
% 171.03/25.91 | | | | | | | | | | | | | (2505) op(all_20_1, e2) = all_65_59
% 171.03/25.91 | | | | | | | | | | | | |
% 171.03/25.91 | | | | | | | | | | | | | REDUCE: (688), (2494) imply:
% 171.03/25.91 | | | | | | | | | | | | | (2506) op(all_20_1, e1) = all_65_61
% 171.03/25.91 | | | | | | | | | | | | |
% 171.03/25.91 | | | | | | | | | | | | | REDUCE: (689), (2494) imply:
% 171.03/25.91 | | | | | | | | | | | | | (2507) op(all_20_1, e0) = all_65_63
% 171.03/25.91 | | | | | | | | | | | | |
% 171.03/25.91 | | | | | | | | | | | | | REDUCE: (649), (2486) imply:
% 171.03/25.91 | | | | | | | | | | | | | (2508) op(all_61_12, e0) = all_61_4
% 171.03/25.91 | | | | | | | | | | | | |
% 171.03/25.91 | | | | | | | | | | | | | REDUCE: (662), (2488) imply:
% 171.03/25.91 | | | | | | | | | | | | | (2509) op(all_20_1, e3) = all_65_28
% 171.03/25.91 | | | | | | | | | | | | |
% 171.03/25.91 | | | | | | | | | | | | | REDUCE: (663), (2488) imply:
% 171.03/25.91 | | | | | | | | | | | | | (2510) op(all_20_1, e2) = all_65_29
% 171.03/25.91 | | | | | | | | | | | | |
% 171.03/25.91 | | | | | | | | | | | | | REDUCE: (664), (2488) imply:
% 171.03/25.91 | | | | | | | | | | | | | (2511) op(all_20_1, e1) = all_65_30
% 171.03/25.91 | | | | | | | | | | | | |
% 171.03/25.91 | | | | | | | | | | | | | REDUCE: (665), (2483), (2488) imply:
% 171.03/25.91 | | | | | | | | | | | | | (2512) op(all_20_1, e0) = all_6_2
% 171.03/25.91 | | | | | | | | | | | | |
% 171.03/25.91 | | | | | | | | | | | | | REDUCE: (728), (2494) imply:
% 171.03/25.91 | | | | | | | | | | | | | (2513) op(e2, all_20_1) = all_65_29
% 171.03/25.91 | | | | | | | | | | | | |
% 171.03/25.91 | | | | | | | | | | | | | REDUCE: (722), (2488) imply:
% 171.03/25.91 | | | | | | | | | | | | | (2514) op(e2, all_20_1) = all_65_23
% 171.03/25.91 | | | | | | | | | | | | |
% 171.03/25.91 | | | | | | | | | | | | | REDUCE: (231), (2488) imply:
% 171.03/25.91 | | | | | | | | | | | | | (2515) op(e2, e0) = all_20_1
% 171.03/25.91 | | | | | | | | | | | | |
% 171.03/25.91 | | | | | | | | | | | | | REDUCE: (745), (2494) imply:
% 171.03/25.91 | | | | | | | | | | | | | (2516) op(e1, all_20_1) = all_65_45
% 171.03/25.91 | | | | | | | | | | | | |
% 171.03/25.91 | | | | | | | | | | | | | REDUCE: (739), (2488) imply:
% 171.03/25.91 | | | | | | | | | | | | | (2517) op(e1, all_20_1) = all_65_39
% 171.03/25.91 | | | | | | | | | | | | |
% 171.03/25.91 | | | | | | | | | | | | | REDUCE: (761), (2485) imply:
% 171.03/25.91 | | | | | | | | | | | | | (2518) op(e0, all_61_3) = all_61_1
% 171.03/25.91 | | | | | | | | | | | | |
% 171.03/25.91 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_45, all_65_39,
% 171.03/25.91 | | | | | | | | | | | | | all_20_1, e1, simplifying with (2516), (2517)
% 171.03/25.91 | | | | | | | | | | | | | gives:
% 171.03/25.91 | | | | | | | | | | | | | (2519) all_65_39 = all_65_45
% 171.03/25.91 | | | | | | | | | | | | |
% 171.03/25.91 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_29, all_65_23,
% 171.03/25.91 | | | | | | | | | | | | | all_20_1, e2, simplifying with (2513), (2514)
% 171.03/25.91 | | | | | | | | | | | | | gives:
% 171.03/25.91 | | | | | | | | | | | | | (2520) all_65_23 = all_65_29
% 171.03/25.91 | | | | | | | | | | | | |
% 171.03/25.91 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_6_2, all_65_63, e0,
% 171.03/25.91 | | | | | | | | | | | | | all_20_1, simplifying with (2507), (2512) gives:
% 171.03/25.91 | | | | | | | | | | | | | (2521) all_65_63 = all_6_2
% 171.03/25.91 | | | | | | | | | | | | |
% 171.03/25.91 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_61, all_65_30, e1,
% 171.03/25.91 | | | | | | | | | | | | | all_20_1, simplifying with (2506), (2511) gives:
% 171.03/25.91 | | | | | | | | | | | | | (2522) all_65_30 = all_65_61
% 171.03/25.91 | | | | | | | | | | | | |
% 171.03/25.91 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_59, all_65_29, e2,
% 171.03/25.91 | | | | | | | | | | | | | all_20_1, simplifying with (2505), (2510) gives:
% 171.03/25.91 | | | | | | | | | | | | | (2523) all_65_29 = all_65_59
% 171.03/25.91 | | | | | | | | | | | | |
% 171.03/25.91 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_57, all_65_28, e3,
% 171.03/25.91 | | | | | | | | | | | | | all_20_1, simplifying with (2504), (2509) gives:
% 171.03/25.91 | | | | | | | | | | | | | (2524) all_65_28 = all_65_57
% 171.03/25.91 | | | | | | | | | | | | |
% 171.03/25.91 | | | | | | | | | | | | | COMBINE_EQS: (2520), (2523) imply:
% 171.03/25.91 | | | | | | | | | | | | | (2525) all_65_23 = all_65_59
% 171.03/25.91 | | | | | | | | | | | | |
% 171.03/25.91 | | | | | | | | | | | | | REDUCE: (673), (2519) imply:
% 171.03/25.91 | | | | | | | | | | | | | (2526) op(all_61_6, e0) = all_65_45
% 171.03/25.91 | | | | | | | | | | | | |
% 171.03/25.91 | | | | | | | | | | | | | REDUCE: (657), (2525) imply:
% 171.03/25.91 | | | | | | | | | | | | | (2527) op(all_6_2, e0) = all_65_59
% 171.03/25.91 | | | | | | | | | | | | |
% 171.03/25.91 | | | | | | | | | | | | | REDUCE: (729), (2522) imply:
% 171.03/25.91 | | | | | | | | | | | | | (2528) op(e2, all_61_11) = all_65_61
% 171.03/25.91 | | | | | | | | | | | | |
% 171.03/25.91 | | | | | | | | | | | | | BETA: splitting (80) gives:
% 171.03/25.91 | | | | | | | | | | | | |
% 171.03/25.91 | | | | | | | | | | | | | Case 1:
% 171.03/25.91 | | | | | | | | | | | | | |
% 171.03/25.91 | | | | | | | | | | | | | | (2529) ~ (all_22_2 = e0)
% 171.03/25.91 | | | | | | | | | | | | | |
% 171.03/25.91 | | | | | | | | | | | | | | REDUCE: (449), (2529) imply:
% 171.03/25.91 | | | | | | | | | | | | | | (2530) ~ (all_6_2 = e0)
% 171.03/25.91 | | | | | | | | | | | | | |
% 171.03/25.91 | | | | | | | | | | | | | | BETA: splitting (266) gives:
% 171.03/25.91 | | | | | | | | | | | | | |
% 171.03/25.91 | | | | | | | | | | | | | | Case 1:
% 171.03/25.91 | | | | | | | | | | | | | | |
% 171.03/25.91 | | | | | | | | | | | | | | | (2531) all_63_5 = e3
% 171.03/25.91 | | | | | | | | | | | | | | |
% 171.03/25.91 | | | | | | | | | | | | | | | COMBINE_EQS: (587), (2531) imply:
% 171.03/25.91 | | | | | | | | | | | | | | | (2532) all_6_2 = e3
% 171.03/25.91 | | | | | | | | | | | | | | |
% 171.03/25.91 | | | | | | | | | | | | | | | REDUCE: (767), (2532) imply:
% 171.03/25.91 | | | | | | | | | | | | | | | (2533) $false
% 171.03/25.91 | | | | | | | | | | | | | | |
% 171.03/25.91 | | | | | | | | | | | | | | | CLOSE: (2533) is inconsistent.
% 171.03/25.91 | | | | | | | | | | | | | | |
% 171.03/25.91 | | | | | | | | | | | | | | Case 2:
% 171.03/25.91 | | | | | | | | | | | | | | |
% 171.03/25.91 | | | | | | | | | | | | | | | (2534) all_63_5 = e2 | all_63_5 = e1 | all_63_5 = e0
% 171.03/25.91 | | | | | | | | | | | | | | |
% 171.03/25.91 | | | | | | | | | | | | | | | BETA: splitting (2534) gives:
% 171.03/25.91 | | | | | | | | | | | | | | |
% 171.03/25.91 | | | | | | | | | | | | | | | Case 1:
% 171.03/25.91 | | | | | | | | | | | | | | | |
% 171.03/25.91 | | | | | | | | | | | | | | | | (2535) all_63_5 = e2
% 171.03/25.91 | | | | | | | | | | | | | | | |
% 171.03/25.91 | | | | | | | | | | | | | | | | COMBINE_EQS: (587), (2535) imply:
% 171.03/25.91 | | | | | | | | | | | | | | | | (2536) all_6_2 = e2
% 171.03/25.91 | | | | | | | | | | | | | | | |
% 171.03/25.91 | | | | | | | | | | | | | | | | REDUCE: (604), (2536) imply:
% 171.03/25.91 | | | | | | | | | | | | | | | | (2537) ~ (all_61_1 = e2)
% 171.03/25.91 | | | | | | | | | | | | | | | |
% 171.03/25.91 | | | | | | | | | | | | | | | | REDUCE: (607), (2536) imply:
% 171.03/25.91 | | | | | | | | | | | | | | | | (2538) ~ (all_61_4 = e2)
% 171.03/25.91 | | | | | | | | | | | | | | | |
% 171.03/25.91 | | | | | | | | | | | | | | | | REDUCE: (613), (2536) imply:
% 171.03/25.91 | | | | | | | | | | | | | | | | (2539) ~ (all_61_9 = e2)
% 171.03/25.91 | | | | | | | | | | | | | | | |
% 171.03/25.91 | | | | | | | | | | | | | | | | REDUCE: (2512), (2536) imply:
% 171.03/25.91 | | | | | | | | | | | | | | | | (2540) op(all_20_1, e0) = e2
% 171.03/25.91 | | | | | | | | | | | | | | | |
% 171.03/25.91 | | | | | | | | | | | | | | | | REDUCE: (654), (2536) imply:
% 171.03/25.91 | | | | | | | | | | | | | | | | (2541) op(e2, e3) = all_65_20
% 171.03/25.91 | | | | | | | | | | | | | | | |
% 171.03/25.91 | | | | | | | | | | | | | | | | REDUCE: (656), (2536) imply:
% 171.03/25.91 | | | | | | | | | | | | | | | | (2542) op(e2, e1) = all_65_22
% 171.03/25.91 | | | | | | | | | | | | | | | |
% 171.03/25.91 | | | | | | | | | | | | | | | | REDUCE: (2527), (2536) imply:
% 171.03/25.91 | | | | | | | | | | | | | | | | (2543) op(e2, e0) = all_65_59
% 171.03/25.91 | | | | | | | | | | | | | | | |
% 171.03/25.91 | | | | | | | | | | | | | | | | REDUCE: (703), (2536) imply:
% 171.03/25.91 | | | | | | | | | | | | | | | | (2544) op(e3, e2) = all_65_5
% 171.03/25.91 | | | | | | | | | | | | | | | |
% 171.03/25.91 | | | | | | | | | | | | | | | | REDUCE: (720), (2536) imply:
% 171.03/25.91 | | | | | | | | | | | | | | | | (2545) op(e2, e2) = all_65_21
% 171.03/25.91 | | | | | | | | | | | | | | | |
% 171.03/25.91 | | | | | | | | | | | | | | | | REDUCE: (55), (2536) imply:
% 171.03/25.91 | | | | | | | | | | | | | | | | (2546) op(e2, e2) = e2
% 171.03/25.91 | | | | | | | | | | | | | | | |
% 171.03/25.91 | | | | | | | | | | | | | | | | REDUCE: (737), (2536) imply:
% 171.03/25.91 | | | | | | | | | | | | | | | | (2547) op(e1, e2) = all_65_37
% 171.03/25.91 | | | | | | | | | | | | | | | |
% 171.03/25.91 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_6, all_65_37, e2,
% 171.03/25.91 | | | | | | | | | | | | | | | | e1, simplifying with (229), (2547) gives:
% 171.03/25.91 | | | | | | | | | | | | | | | | (2548) all_65_37 = all_61_6
% 171.03/25.91 | | | | | | | | | | | | | | | |
% 171.03/25.91 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_20_1, all_65_59, e0,
% 171.03/25.91 | | | | | | | | | | | | | | | | e2, simplifying with (2515), (2543) gives:
% 171.03/25.91 | | | | | | | | | | | | | | | | (2549) all_65_59 = all_20_1
% 171.03/25.91 | | | | | | | | | | | | | | | |
% 171.03/25.91 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_9, all_65_22, e1,
% 171.03/25.91 | | | | | | | | | | | | | | | | e2, simplifying with (232), (2542) gives:
% 171.03/25.91 | | | | | | | | | | | | | | | | (2550) all_65_22 = all_61_9
% 171.03/25.91 | | | | | | | | | | | | | | | |
% 171.03/25.91 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e2, all_65_21, e2, e2,
% 171.03/25.91 | | | | | | | | | | | | | | | | simplifying with (2545), (2546) gives:
% 171.03/25.91 | | | | | | | | | | | | | | | | (2551) all_65_21 = e2
% 171.03/25.91 | | | | | | | | | | | | | | | |
% 171.03/25.91 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_1, all_65_20, e3,
% 171.03/25.91 | | | | | | | | | | | | | | | | e2, simplifying with (234), (2541) gives:
% 171.03/25.91 | | | | | | | | | | | | | | | | (2552) all_65_20 = all_61_1
% 171.03/25.91 | | | | | | | | | | | | | | | |
% 171.03/25.91 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_4, all_65_5, e2,
% 171.03/25.91 | | | | | | | | | | | | | | | | e3, simplifying with (237), (2544) gives:
% 171.03/25.91 | | | | | | | | | | | | | | | | (2553) all_65_5 = all_61_4
% 171.03/25.91 | | | | | | | | | | | | | | | |
% 171.03/25.91 | | | | | | | | | | | | | | | | BETA: splitting (101) gives:
% 171.03/25.91 | | | | | | | | | | | | | | | |
% 171.03/25.91 | | | | | | | | | | | | | | | | Case 1:
% 171.03/25.91 | | | | | | | | | | | | | | | | |
% 171.03/25.91 | | | | | | | | | | | | | | | | | (2554) ~ (all_36_2 = e0)
% 171.03/25.91 | | | | | | | | | | | | | | | | |
% 171.03/25.91 | | | | | | | | | | | | | | | | | REDUCE: (557), (2554) imply:
% 171.03/25.91 | | | | | | | | | | | | | | | | | (2555) ~ (all_14_2 = e0)
% 171.03/25.91 | | | | | | | | | | | | | | | | |
% 171.03/25.91 | | | | | | | | | | | | | | | | | BETA: splitting (107) gives:
% 171.03/25.91 | | | | | | | | | | | | | | | | |
% 171.03/25.91 | | | | | | | | | | | | | | | | | Case 1:
% 171.03/25.91 | | | | | | | | | | | | | | | | | |
% 171.03/25.91 | | | | | | | | | | | | | | | | | | (2556) ~ (all_40_2 = e1)
% 171.03/25.91 | | | | | | | | | | | | | | | | | |
% 171.03/25.91 | | | | | | | | | | | | | | | | | | REDUCE: (553), (2556) imply:
% 171.03/25.91 | | | | | | | | | | | | | | | | | | (2557) ~ (all_14_2 = e1)
% 171.03/25.91 | | | | | | | | | | | | | | | | | |
% 171.41/25.91 | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (50), (67), (151), (159), (162), (165),
% 171.41/25.91 | | | | | | | | | | | | | | | | | | (166), (167), (168), (226), (230), (234), (235),
% 171.41/25.91 | | | | | | | | | | | | | | | | | | (236), (237), (271), (475), (478), (481), (484),
% 171.41/25.91 | | | | | | | | | | | | | | | | | | (534), (588), (599), (601), (603), (635), (636),
% 171.41/25.91 | | | | | | | | | | | | | | | | | | (637), (638), (642), (646), (650), (666), (682),
% 171.41/25.91 | | | | | | | | | | | | | | | | | | (698), (714), (715), (731), (732), (748), (749),
% 171.41/25.91 | | | | | | | | | | | | | | | | | | (765), (851), (890), (2555), (2557) are
% 171.41/25.91 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #502.
% 171.41/25.91 | | | | | | | | | | | | | | | | | |
% 171.41/25.91 | | | | | | | | | | | | | | | | | Case 2:
% 171.41/25.91 | | | | | | | | | | | | | | | | | |
% 171.41/25.91 | | | | | | | | | | | | | | | | | | (2558) all_40_2 = e1
% 171.41/25.91 | | | | | | | | | | | | | | | | | | (2559) op(e3, e1) = all_40_1 & $i(all_40_1) & ( ~
% 171.41/25.91 | | | | | | | | | | | | | | | | | | (all_40_1 = e0) | ( ~ (all_40_0 = e2) & op(e0,
% 171.41/25.91 | | | | | | | | | | | | | | | | | | e3) = all_40_0 & $i(all_40_0)))
% 171.41/25.91 | | | | | | | | | | | | | | | | | |
% 171.41/25.91 | | | | | | | | | | | | | | | | | | ALPHA: (2559) implies:
% 171.41/25.91 | | | | | | | | | | | | | | | | | | (2560) op(e3, e1) = all_40_1
% 171.41/25.91 | | | | | | | | | | | | | | | | | |
% 171.41/25.91 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (553), (2558) imply:
% 171.41/25.91 | | | | | | | | | | | | | | | | | | (2561) all_14_2 = e1
% 171.41/25.91 | | | | | | | | | | | | | | | | | |
% 171.41/25.91 | | | | | | | | | | | | | | | | | | SIMP: (2561) implies:
% 171.41/25.91 | | | | | | | | | | | | | | | | | | (2562) all_14_2 = e1
% 171.41/25.91 | | | | | | | | | | | | | | | | | |
% 171.41/25.91 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (466), (2562) imply:
% 171.41/25.91 | | | | | | | | | | | | | | | | | | (2563) all_48_2 = e1
% 171.41/25.91 | | | | | | | | | | | | | | | | | |
% 171.41/25.91 | | | | | | | | | | | | | | | | | | REDUCE: (593), (2562) imply:
% 171.41/25.91 | | | | | | | | | | | | | | | | | | (2564) ~ (all_61_1 = e1)
% 171.41/25.91 | | | | | | | | | | | | | | | | | |
% 171.41/25.91 | | | | | | | | | | | | | | | | | | REDUCE: (599), (2562) imply:
% 171.41/25.91 | | | | | | | | | | | | | | | | | | (2565) ~ (all_61_4 = e1)
% 171.41/25.91 | | | | | | | | | | | | | | | | | |
% 171.41/25.91 | | | | | | | | | | | | | | | | | | REDUCE: (634), (2562) imply:
% 171.41/25.91 | | | | | | | | | | | | | | | | | | (2566) op(e1, e3) = all_65_0
% 171.41/25.91 | | | | | | | | | | | | | | | | | |
% 171.41/25.91 | | | | | | | | | | | | | | | | | | REDUCE: (635), (2562) imply:
% 171.41/25.91 | | | | | | | | | | | | | | | | | | (2567) op(e1, e2) = all_65_1
% 171.41/25.91 | | | | | | | | | | | | | | | | | |
% 171.41/25.91 | | | | | | | | | | | | | | | | | | REDUCE: (636), (2562) imply:
% 171.41/25.91 | | | | | | | | | | | | | | | | | | (2568) op(e1, e1) = all_65_2
% 171.41/25.91 | | | | | | | | | | | | | | | | | |
% 171.41/25.91 | | | | | | | | | | | | | | | | | | REDUCE: (637), (2562) imply:
% 171.41/25.91 | | | | | | | | | | | | | | | | | | (2569) op(e1, e0) = all_65_3
% 171.41/25.91 | | | | | | | | | | | | | | | | | |
% 171.41/25.91 | | | | | | | | | | | | | | | | | | REDUCE: (698), (2562) imply:
% 171.41/25.91 | | | | | | | | | | | | | | | | | | (2570) op(e3, e1) = all_65_0
% 171.41/25.91 | | | | | | | | | | | | | | | | | |
% 171.41/25.91 | | | | | | | | | | | | | | | | | | REDUCE: (715), (2562) imply:
% 171.41/25.91 | | | | | | | | | | | | | | | | | | (2571) op(e2, e1) = all_65_16
% 171.41/25.91 | | | | | | | | | | | | | | | | | |
% 171.41/25.91 | | | | | | | | | | | | | | | | | | REDUCE: (732), (2562) imply:
% 171.41/25.91 | | | | | | | | | | | | | | | | | | (2572) op(e1, e1) = all_65_32
% 171.41/25.91 | | | | | | | | | | | | | | | | | |
% 171.41/25.91 | | | | | | | | | | | | | | | | | | REDUCE: (749), (2562) imply:
% 171.41/25.91 | | | | | | | | | | | | | | | | | | (2573) op(e0, e1) = all_65_49
% 171.41/25.91 | | | | | | | | | | | | | | | | | |
% 171.41/25.91 | | | | | | | | | | | | | | | | | | BETA: splitting (119) gives:
% 171.41/25.91 | | | | | | | | | | | | | | | | | |
% 171.41/25.91 | | | | | | | | | | | | | | | | | | Case 1:
% 171.41/25.91 | | | | | | | | | | | | | | | | | | |
% 171.41/25.91 | | | | | | | | | | | | | | | | | | | (2574) ~ (all_48_2 = e1)
% 171.41/25.91 | | | | | | | | | | | | | | | | | | |
% 171.41/25.91 | | | | | | | | | | | | | | | | | | | REDUCE: (2563), (2574) imply:
% 171.41/25.91 | | | | | | | | | | | | | | | | | | | (2575) $false
% 171.41/25.91 | | | | | | | | | | | | | | | | | | |
% 171.41/25.91 | | | | | | | | | | | | | | | | | | | CLOSE: (2575) is inconsistent.
% 171.41/25.91 | | | | | | | | | | | | | | | | | | |
% 171.41/25.91 | | | | | | | | | | | | | | | | | | Case 2:
% 171.41/25.91 | | | | | | | | | | | | | | | | | | |
% 171.41/25.91 | | | | | | | | | | | | | | | | | | | (2576) op(e3, e1) = all_48_1 & $i(all_48_1) & ( ~
% 171.41/25.91 | | | | | | | | | | | | | | | | | | | (all_48_1 = e2) | ( ~ (all_48_0 = e0) & op(e2,
% 171.41/25.91 | | | | | | | | | | | | | | | | | | | e3) = all_48_0 & $i(all_48_0)))
% 171.41/25.91 | | | | | | | | | | | | | | | | | | |
% 171.41/25.91 | | | | | | | | | | | | | | | | | | | ALPHA: (2576) implies:
% 171.41/25.91 | | | | | | | | | | | | | | | | | | | (2577) op(e3, e1) = all_48_1
% 171.41/25.91 | | | | | | | | | | | | | | | | | | | (2578) ~ (all_48_1 = e2) | ( ~ (all_48_0 = e0) & op(e2,
% 171.41/25.91 | | | | | | | | | | | | | | | | | | | e3) = all_48_0 & $i(all_48_0))
% 171.41/25.91 | | | | | | | | | | | | | | | | | | |
% 171.41/25.91 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_11, all_65_49, e1,
% 171.41/25.91 | | | | | | | | | | | | | | | | | | | e0, simplifying with (224), (2573) gives:
% 171.41/25.91 | | | | | | | | | | | | | | | | | | | (2579) all_65_49 = all_61_11
% 171.41/25.91 | | | | | | | | | | | | | | | | | | |
% 171.41/25.91 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_14, all_65_3, e0,
% 171.41/25.91 | | | | | | | | | | | | | | | | | | | e1, simplifying with (227), (2569) gives:
% 171.41/25.91 | | | | | | | | | | | | | | | | | | | (2580) all_65_3 = all_61_14
% 171.41/25.91 | | | | | | | | | | | | | | | | | | |
% 171.41/25.91 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e1, all_65_2, e1, e1,
% 171.41/25.91 | | | | | | | | | | | | | | | | | | | simplifying with (876), (2568) gives:
% 171.41/25.91 | | | | | | | | | | | | | | | | | | | (2581) all_65_2 = e1
% 171.41/25.91 | | | | | | | | | | | | | | | | | | |
% 171.41/25.91 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_32, all_65_2, e1,
% 171.41/25.91 | | | | | | | | | | | | | | | | | | | e1, simplifying with (2568), (2572) gives:
% 171.41/25.91 | | | | | | | | | | | | | | | | | | | (2582) all_65_2 = all_65_32
% 171.41/25.91 | | | | | | | | | | | | | | | | | | |
% 171.41/25.91 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_6, all_65_1, e2,
% 171.41/25.91 | | | | | | | | | | | | | | | | | | | e1, simplifying with (229), (2567) gives:
% 171.41/25.91 | | | | | | | | | | | | | | | | | | | (2583) all_65_1 = all_61_6
% 171.41/25.92 | | | | | | | | | | | | | | | | | | |
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_2, all_65_0, e3,
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | e1, simplifying with (230), (2566) gives:
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | (2584) all_65_0 = all_61_2
% 171.41/25.92 | | | | | | | | | | | | | | | | | | |
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_9, all_65_16, e1,
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | e2, simplifying with (232), (2571) gives:
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | (2585) all_65_16 = all_61_9
% 171.41/25.92 | | | | | | | | | | | | | | | | | | |
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_8, all_48_1, e1,
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | e3, simplifying with (236), (2577) gives:
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | (2586) all_61_8 = all_48_1
% 171.41/25.92 | | | | | | | | | | | | | | | | | | |
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_8, all_65_0, e1,
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | e3, simplifying with (236), (2570) gives:
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | (2587) all_65_0 = all_61_8
% 171.41/25.92 | | | | | | | | | | | | | | | | | | |
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_40_1, all_65_0, e1,
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | e3, simplifying with (2560), (2570) gives:
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | (2588) all_65_0 = all_40_1
% 171.41/25.92 | | | | | | | | | | | | | | | | | | |
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2584), (2588) imply:
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | (2589) all_61_2 = all_40_1
% 171.41/25.92 | | | | | | | | | | | | | | | | | | |
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | SIMP: (2589) implies:
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | (2590) all_61_2 = all_40_1
% 171.41/25.92 | | | | | | | | | | | | | | | | | | |
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2587), (2588) imply:
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | (2591) all_61_8 = all_40_1
% 171.41/25.92 | | | | | | | | | | | | | | | | | | |
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | SIMP: (2591) implies:
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | (2592) all_61_8 = all_40_1
% 171.41/25.92 | | | | | | | | | | | | | | | | | | |
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2581), (2582) imply:
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | (2593) all_65_32 = e1
% 171.41/25.92 | | | | | | | | | | | | | | | | | | |
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2586), (2592) imply:
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | (2594) all_48_1 = all_40_1
% 171.41/25.92 | | | | | | | | | | | | | | | | | | |
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | SIMP: (2594) implies:
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | (2595) all_48_1 = all_40_1
% 171.41/25.92 | | | | | | | | | | | | | | | | | | |
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (499), (2590) imply:
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | (2596) all_63_8 = all_40_1
% 171.41/25.92 | | | | | | | | | | | | | | | | | | |
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | REDUCE: (208), (2590) imply:
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | (2597) ~ (all_61_14 = all_40_1)
% 171.41/25.92 | | | | | | | | | | | | | | | | | | |
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | SIMP: (2597) implies:
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | (2598) ~ (all_61_14 = all_40_1)
% 171.41/25.92 | | | | | | | | | | | | | | | | | | |
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | REDUCE: (201), (2592) imply:
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | (2599) ~ (all_61_4 = all_40_1)
% 171.41/25.92 | | | | | | | | | | | | | | | | | | |
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | REDUCE: (190), (2592) imply:
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | (2600) ~ (all_61_9 = all_40_1)
% 171.41/25.92 | | | | | | | | | | | | | | | | | | |
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | SIMP: (2600) implies:
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | (2601) ~ (all_61_9 = all_40_1)
% 171.41/25.92 | | | | | | | | | | | | | | | | | | |
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | REDUCE: (188), (2592) imply:
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | (2602) ~ (all_61_11 = all_40_1)
% 171.41/25.92 | | | | | | | | | | | | | | | | | | |
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | SIMP: (2602) implies:
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | (2603) ~ (all_61_11 = all_40_1)
% 171.41/25.92 | | | | | | | | | | | | | | | | | | |
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | REDUCE: (865), (2592) imply:
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | (2604) ~ (all_40_1 = e1)
% 171.41/25.92 | | | | | | | | | | | | | | | | | | |
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | REDUCE: (666), (2590), (2593) imply:
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | (2605) op(all_40_1, e3) = e1
% 171.41/25.92 | | | | | | | | | | | | | | | | | | |
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | REDUCE: (642), (2592) imply:
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | (2606) op(all_40_1, e3) = all_65_8
% 171.41/25.92 | | | | | | | | | | | | | | | | | | |
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | REDUCE: (706), (2590) imply:
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | (2607) op(e3, all_40_1) = all_65_8
% 171.41/25.92 | | | | | | | | | | | | | | | | | | |
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e1, all_65_8, e3,
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | all_40_1, simplifying with (2605), (2606) gives:
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | (2608) all_65_8 = e1
% 171.41/25.92 | | | | | | | | | | | | | | | | | | |
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | REDUCE: (2607), (2608) imply:
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | (2609) op(e3, all_40_1) = e1
% 171.41/25.92 | | | | | | | | | | | | | | | | | | |
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | BETA: splitting (161) gives:
% 171.41/25.92 | | | | | | | | | | | | | | | | | | |
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | Case 1:
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | |
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | (2610) ~ (all_58_2 = e2)
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | |
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | REDUCE: (478), (2610) imply:
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | (2611) ~ (all_52_2 = e2)
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | |
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | BETA: splitting (164) gives:
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | |
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | Case 1:
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | | (2612) ~ (all_58_1 = e1)
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | | REDUCE: (481), (2612) imply:
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | | (2613) ~ (all_52_1 = e1)
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (157) gives:
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | | | (2614) ~ (all_58_3 = e1)
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (475), (2614) imply:
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | | | (2615) ~ (all_52_3 = e1)
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (163) gives:
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | | | | (2616) ~ (all_58_1 = e0)
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (481), (2616) imply:
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | | | | (2617) ~ (all_52_1 = e0)
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (158) gives:
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | | | | | (2618) ~ (all_58_3 = e2)
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (475), (2618) imply:
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | | | | | (2619) ~ (all_52_3 = e2)
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (159) gives:
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | | | | | | (2620) ~ (all_58_3 = e3)
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (475), (2620) imply:
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | | | | | | (2621) ~ (all_52_3 = e3)
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (50), (148), (232), (539), (765), (866),
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | | | | | | (2471), (2615), (2619), (2621) are inconsistent by
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #385.
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | | | | | | (2622) all_58_3 = e3
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | | | | | | (2623) all_58_0 = e0
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (484), (2623) imply:
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | | | | | | (2624) all_52_0 = e0
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2624) implies:
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | | | | | | (2625) all_52_0 = e0
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (475), (2622) imply:
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | | | | | | (2626) all_52_3 = e3
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (628), (2625) imply:
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | | | | | | (2627) ~ (all_52_1 = e0)
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (629), (2625) imply:
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | | | | | | (2628) ~ (all_52_2 = e0)
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2628) implies:
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | | | | | | (2629) ~ (all_52_2 = e0)
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (632), (2626) imply:
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | | | | | | (2630) ~ (all_52_1 = e3)
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (633), (2626) imply:
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | | | | | | (2631) ~ (all_52_2 = e3)
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (50), (149), (150), (161), (478), (481), (536),
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | | | | | | (538), (631), (731), (748), (876), (2546), (2613),
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | | | | | | (2617), (2629), (2630), (2631) are inconsistent by
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #383.
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | | | | | (2632) all_58_1 = e0
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (481), (2617), (2632) are inconsistent by
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #462.
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | | | | (2633) all_58_3 = e2
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | | | | (2634) all_58_1 = e0
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (481), (2634) imply:
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | | | | (2635) all_52_1 = e0
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2635) implies:
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | | | | (2636) all_52_1 = e0
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (475), (2633) imply:
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | | | | (2637) all_52_3 = e2
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2637) implies:
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | | | | (2638) all_52_3 = e2
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (50), (632), (731), (2515), (2540), (2636),
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | | | | (2638) are inconsistent by sub-proof #381.
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | | | End of split
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | | | (2639) all_58_3 = e1
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | | | (2640) all_58_2 = e0
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (478), (2640) imply:
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | | | (2641) all_52_2 = e0
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (475), (2639) imply:
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | | | (2642) all_52_3 = e1
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (50), (224), (227), (680), (748), (765),
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | | | (868), (886), (2641), (2642) are inconsistent by
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | | | sub-proof #495.
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | | End of split
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | Case 2:
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | | (2643) all_58_2 = e2
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (478), (2643) imply:
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | | (2644) all_52_2 = e2
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | | REDUCE: (2611), (2644) imply:
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | | (2645) $false
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | | CLOSE: (2645) is inconsistent.
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | End of split
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | |
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | Case 2:
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | |
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | (2646) all_58_2 = e2
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | (2647) all_58_1 = e1
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | |
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (481), (2647) imply:
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | (2648) all_52_1 = e1
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | |
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | SIMP: (2648) implies:
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | (2649) all_52_1 = e1
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | |
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (478), (2646) imply:
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | (2650) all_52_2 = e2
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | |
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | REDUCE: (731), (2649) imply:
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | (2651) op(e2, e1) = unit
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | |
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | REDUCE: (748), (2650) imply:
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | (2652) op(e1, e2) = unit
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | |
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_6, unit, e2, e1,
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | simplifying with (229), (2652) gives:
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | (2653) all_61_6 = unit
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | |
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_9, unit, e1, e2,
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | simplifying with (232), (2651) gives:
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | (2654) all_61_9 = unit
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | |
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (501), (2653) imply:
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | (2655) all_63_9 = unit
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | |
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | REDUCE: (213), (2654) imply:
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | (2656) ~ (all_61_1 = unit)
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | |
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | REDUCE: (203), (2653) imply:
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | (2657) ~ (all_61_4 = unit)
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | |
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | REDUCE: (193), (2653) imply:
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | (2658) ~ (all_61_14 = unit)
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | |
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | SIMP: (2658) implies:
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | (2659) ~ (all_61_14 = unit)
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | |
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | REDUCE: (185), (2654) imply:
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | (2660) ~ (all_61_11 = unit)
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | |
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | SIMP: (2660) implies:
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | (2661) ~ (all_61_11 = unit)
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | |
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | REDUCE: (2601), (2654) imply:
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | (2662) ~ (all_40_1 = unit)
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | |
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | SIMP: (2662) implies:
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | (2663) ~ (all_40_1 = unit)
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | |
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | REDUCE: (2498), (2654) imply:
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | (2664) ~ (all_20_1 = unit)
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | |
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | SIMP: (2664) implies:
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | (2665) ~ (all_20_1 = unit)
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | |
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | REDUCE: (2539), (2654) imply:
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | (2666) ~ (unit = e2)
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | |
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | REDUCE: (866), (2654) imply:
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | (2667) ~ (unit = e1)
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | |
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | REDUCE: (2526), (2653) imply:
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | (2668) op(unit, e0) = all_65_45
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | |
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | REDUCE: (661), (2654) imply:
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | (2669) op(unit, e0) = all_65_27
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | |
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | REDUCE: (887), (2653) imply:
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | (2670) op(e1, unit) = unit
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | |
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | REDUCE: (758), (2653) imply:
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | (2671) op(e0, unit) = all_65_67
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | |
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | BETA: splitting (262) gives:
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | |
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | Case 1:
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | | (2672) all_63_9 = e3
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2655), (2672) imply:
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | | (2673) unit = e3
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | | REDUCE: (851), (2673) imply:
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | | (2674) $false
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | | CLOSE: (2674) is inconsistent.
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | Case 2:
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | | (2675) all_63_9 = e2 | all_63_9 = e1 | all_63_9 = e0
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2675) gives:
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | | | (2676) all_63_9 = e2
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2655), (2676) imply:
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | | | (2677) unit = e2
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2666), (2677) imply:
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | | | (2678) $false
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2678) is inconsistent.
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | | | (2679) all_63_9 = e1 | all_63_9 = e0
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2679) gives:
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | | | | (2680) all_63_9 = e1
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2655), (2680) imply:
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | | | | (2681) unit = e1
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2667), (2681) imply:
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | | | | (2682) $false
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2682) is inconsistent.
% 171.41/25.92 | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | (2683) all_63_9 = e0
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2655), (2683) imply:
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | (2684) unit = e0
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2656), (2684) imply:
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | (2685) ~ (all_61_1 = e0)
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2657), (2684) imply:
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | (2686) ~ (all_61_4 = e0)
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2661), (2684) imply:
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | (2687) ~ (all_61_11 = e0)
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2659), (2684) imply:
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | (2688) ~ (all_61_14 = e0)
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2663), (2684) imply:
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | (2689) ~ (all_40_1 = e0)
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2665), (2684) imply:
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | (2690) ~ (all_20_1 = e0)
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2669), (2684) imply:
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | (2691) op(e0, e0) = all_65_27
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2668), (2684) imply:
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | (2692) op(e0, e0) = all_65_45
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2670), (2684) imply:
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | (2693) op(e1, e0) = e0
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2671), (2684) imply:
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | (2694) op(e0, e0) = all_65_67
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (267) gives:
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | (2695) all_63_4 = e3
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (493), (2695) imply:
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | (2696) all_61_1 = e3
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (651), (2696) imply:
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | (2697) op(e3, e2) = all_65_17
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (234), (2696) imply:
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | (2698) op(e2, e3) = e3
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (270) gives:
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | (2699) all_63_1 = e3
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (488), (2699) imply:
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | (2700) all_61_4 = e3
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2599), (2700) imply:
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | (2701) ~ (all_40_1 = e3)
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2701) implies:
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | (2702) ~ (all_40_1 = e3)
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (2700) imply:
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | (2703) op(e2, e3) = all_65_17
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (263) gives:
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | (2704) all_63_8 = e3
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2596), (2704) imply:
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | (2705) all_40_1 = e3
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2702), (2705) imply:
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | (2706) $false
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2706) is inconsistent.
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | (2707) all_63_8 = e2 | all_63_8 = e1 | all_63_8 = e0
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2707) gives:
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2708) all_63_8 = e2
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2596), (2708) imply:
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2709) all_40_1 = e2
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2595), (2709) imply:
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2710) all_48_1 = e2
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2603), (2709) imply:
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2711) ~ (all_61_11 = e2)
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2598), (2709) imply:
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2712) ~ (all_61_14 = e2)
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2609), (2709) imply:
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2713) op(e3, e2) = e1
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (257) gives:
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2714) all_63_14 = e3
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (510), (2714) imply:
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2715) all_61_11 = e3
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (691), (2715) imply:
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2716) op(e3, e2) = all_65_67
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2528), (2715) imply:
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2717) op(e2, e3) = all_65_61
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2578) gives:
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2718) ~ (all_48_1 = e2)
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2710), (2718) imply:
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2719) $false
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2719) is inconsistent.
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2720) ~ (all_48_0 = e0) & op(e2, e3) = all_48_0 &
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_48_0)
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2720) implies:
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2721) op(e2, e3) = all_48_0
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (260) gives:
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2722) all_63_11 = e3
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (505), (2722) imply:
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2723) all_61_14 = e3
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2723) implies:
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2724) all_61_14 = e3
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2501), (2724) imply:
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2725) ~ (all_20_1 = e3)
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2725) implies:
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2726) ~ (all_20_1 = e3)
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (726), (2724) imply:
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2727) op(e2, e3) = all_65_27
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (227), (2724) imply:
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2728) op(e1, e0) = e3
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2458) gives:
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2729) ~ (all_20_1 = e1)
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (258), (2495), (2503), (2690), (2726), (2729) are
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #379.
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2730) all_20_1 = e1
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2731) ~ (all_20_0 = e3) & op(e1, e0) = all_20_0 &
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_20_0)
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2731) implies:
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2732) op(e1, e0) = all_20_0
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e2, all_65_67, e0, e0,
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (2471), (2694) gives:
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2733) all_65_67 = e2
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_45, all_65_27, e0,
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, simplifying with (2691), (2692) gives:
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2734) all_65_27 = all_65_45
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e3, all_20_0, e0, e1,
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (2728), (2732) gives:
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2735) all_20_0 = e3
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e0, all_20_0, e0, e1,
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (2693), (2732) gives:
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2736) all_20_0 = e0
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_61, all_65_27, e3,
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, simplifying with (2717), (2727) gives:
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2737) all_65_27 = all_65_61
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e3, all_65_27, e3, e2,
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (2698), (2727) gives:
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2738) all_65_27 = e3
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_61, all_65_17, e3,
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, simplifying with (2703), (2717) gives:
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2739) all_65_17 = all_65_61
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_48_0, all_65_17, e3,
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, simplifying with (2703), (2721) gives:
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2740) all_65_17 = all_48_0
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e1, all_65_67, e2, e3,
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (2713), (2716) gives:
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2741) all_65_67 = e1
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_67, all_65_17, e2,
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, simplifying with (2697), (2716) gives:
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2742) all_65_17 = all_65_67
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2740), (2742) imply:
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2743) all_65_67 = all_48_0
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2743) implies:
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2744) all_65_67 = all_48_0
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2739), (2740) imply:
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2745) all_65_61 = all_48_0
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2745) implies:
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2746) all_65_61 = all_48_0
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2734), (2738) imply:
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2747) all_65_45 = e3
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2734), (2737) imply:
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2748) all_65_45 = all_65_61
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2747), (2748) imply:
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2749) all_65_61 = e3
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2749) implies:
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2750) all_65_61 = e3
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2746), (2750) imply:
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2751) all_48_0 = e3
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2751) implies:
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2752) all_48_0 = e3
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2733), (2741) imply:
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2753) e2 = e1
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2733), (2744) imply:
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2754) all_48_0 = e2
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2754) implies:
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2755) all_48_0 = e2
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2752), (2755) imply:
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2756) e3 = e2
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2735), (2736) imply:
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2757) e3 = e0
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2757) implies:
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2758) e3 = e0
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2756), (2758) imply:
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2759) e2 = e0
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2759) implies:
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2760) e2 = e0
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (2753), (2760) are inconsistent by sub-proof
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #403.
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2761) all_63_11 = e2 | all_63_11 = e1 | all_63_11 = e0
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (505), (868), (2688), (2712), (2761) are
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #521.
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2762) all_63_14 = e2 | all_63_14 = e1 | all_63_14 = e0
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (510), (867), (2687), (2711), (2762) are
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #517.
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2763) all_63_8 = e1 | all_63_8 = e0
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2596), (2604), (2689), (2763) are inconsistent by
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #488.
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 171.41/25.93 | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.94 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 171.41/25.94 | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.94 | | | | | | | | | | | | | | | | | | | | | | | | | (2764) all_63_1 = e2 | all_63_1 = e1 | all_63_1 = e0
% 171.41/25.94 | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.94 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (488), (2538), (2565), (2686), (2764) are
% 171.41/25.94 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #485.
% 171.41/25.94 | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.94 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 171.41/25.94 | | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.94 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 171.41/25.94 | | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.94 | | | | | | | | | | | | | | | | | | | | | | | | (2765) all_63_4 = e2 | all_63_4 = e1 | all_63_4 = e0
% 171.41/25.94 | | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.94 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (493), (2537), (2564), (2685), (2765) are
% 171.41/25.94 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #471.
% 171.41/25.94 | | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.94 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 171.41/25.94 | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.94 | | | | | | | | | | | | | | | | | | | | | | End of split
% 171.41/25.94 | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.94 | | | | | | | | | | | | | | | | | | | | | End of split
% 171.41/25.94 | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.94 | | | | | | | | | | | | | | | | | | | | End of split
% 171.41/25.94 | | | | | | | | | | | | | | | | | | | |
% 171.41/25.94 | | | | | | | | | | | | | | | | | | | End of split
% 171.41/25.94 | | | | | | | | | | | | | | | | | | |
% 171.41/25.94 | | | | | | | | | | | | | | | | | | End of split
% 171.41/25.94 | | | | | | | | | | | | | | | | | |
% 171.41/25.94 | | | | | | | | | | | | | | | | | End of split
% 171.41/25.94 | | | | | | | | | | | | | | | | |
% 171.41/25.94 | | | | | | | | | | | | | | | | Case 2:
% 171.41/25.94 | | | | | | | | | | | | | | | | |
% 171.41/25.94 | | | | | | | | | | | | | | | | | (2766) all_36_2 = e0
% 171.41/25.94 | | | | | | | | | | | | | | | | | (2767) op(e3, e0) = all_36_1 & $i(all_36_1) & ( ~
% 171.41/25.94 | | | | | | | | | | | | | | | | | (all_36_1 = e2) | ( ~ (all_36_0 = e1) & op(e2,
% 171.41/25.94 | | | | | | | | | | | | | | | | | e3) = all_36_0 & $i(all_36_0)))
% 171.41/25.94 | | | | | | | | | | | | | | | | |
% 171.41/25.94 | | | | | | | | | | | | | | | | | ALPHA: (2767) implies:
% 171.41/25.94 | | | | | | | | | | | | | | | | | (2768) op(e3, e0) = all_36_1
% 171.41/25.94 | | | | | | | | | | | | | | | | |
% 171.41/25.94 | | | | | | | | | | | | | | | | | COMBINE_EQS: (557), (2766) imply:
% 171.41/25.94 | | | | | | | | | | | | | | | | | (2769) all_14_2 = e0
% 171.41/25.94 | | | | | | | | | | | | | | | | |
% 171.41/25.94 | | | | | | | | | | | | | | | | | SIMP: (2769) implies:
% 171.41/25.94 | | | | | | | | | | | | | | | | | (2770) all_14_2 = e0
% 171.41/25.94 | | | | | | | | | | | | | | | | |
% 171.41/25.94 | | | | | | | | | | | | | | | | | COMBINE_EQS: (549), (2770) imply:
% 171.41/25.94 | | | | | | | | | | | | | | | | | (2771) all_44_2 = e0
% 171.41/25.94 | | | | | | | | | | | | | | | | |
% 171.41/25.94 | | | | | | | | | | | | | | | | | REDUCE: (593), (2770) imply:
% 171.41/25.94 | | | | | | | | | | | | | | | | | (2772) ~ (all_61_1 = e0)
% 171.41/25.94 | | | | | | | | | | | | | | | | |
% 171.41/25.94 | | | | | | | | | | | | | | | | | REDUCE: (601), (2770) imply:
% 171.41/25.94 | | | | | | | | | | | | | | | | | (2773) ~ (all_61_8 = e0)
% 171.41/25.94 | | | | | | | | | | | | | | | | |
% 171.41/25.94 | | | | | | | | | | | | | | | | | REDUCE: (603), (2770) imply:
% 171.41/25.94 | | | | | | | | | | | | | | | | | (2774) ~ (all_61_12 = e0)
% 171.41/25.94 | | | | | | | | | | | | | | | | |
% 171.41/25.94 | | | | | | | | | | | | | | | | | REDUCE: (634), (2770) imply:
% 171.41/25.94 | | | | | | | | | | | | | | | | | (2775) op(e0, e3) = all_65_0
% 171.41/25.94 | | | | | | | | | | | | | | | | |
% 171.41/25.94 | | | | | | | | | | | | | | | | | REDUCE: (636), (2770) imply:
% 171.41/25.94 | | | | | | | | | | | | | | | | | (2776) op(e0, e1) = all_65_2
% 171.41/25.94 | | | | | | | | | | | | | | | | |
% 171.41/25.94 | | | | | | | | | | | | | | | | | REDUCE: (637), (2770) imply:
% 171.41/25.94 | | | | | | | | | | | | | | | | | (2777) op(e0, e0) = all_65_3
% 171.41/25.94 | | | | | | | | | | | | | | | | |
% 171.41/25.94 | | | | | | | | | | | | | | | | | REDUCE: (698), (2770) imply:
% 171.41/25.94 | | | | | | | | | | | | | | | | | (2778) op(e3, e0) = all_65_0
% 171.41/25.94 | | | | | | | | | | | | | | | | |
% 171.41/25.94 | | | | | | | | | | | | | | | | | REDUCE: (715), (2770) imply:
% 171.41/25.94 | | | | | | | | | | | | | | | | | (2779) op(e2, e0) = all_65_16
% 171.41/25.94 | | | | | | | | | | | | | | | | |
% 171.41/25.94 | | | | | | | | | | | | | | | | | REDUCE: (732), (2770) imply:
% 171.41/25.94 | | | | | | | | | | | | | | | | | (2780) op(e1, e0) = all_65_32
% 171.41/25.94 | | | | | | | | | | | | | | | | |
% 171.41/25.94 | | | | | | | | | | | | | | | | | REDUCE: (749), (2770) imply:
% 171.41/25.94 | | | | | | | | | | | | | | | | | (2781) op(e0, e0) = all_65_49
% 171.41/25.94 | | | | | | | | | | | | | | | | |
% 171.41/25.94 | | | | | | | | | | | | | | | | | BETA: splitting (113) gives:
% 171.41/25.94 | | | | | | | | | | | | | | | | |
% 171.41/25.94 | | | | | | | | | | | | | | | | | Case 1:
% 171.41/25.94 | | | | | | | | | | | | | | | | | |
% 171.41/25.94 | | | | | | | | | | | | | | | | | | (2782) ~ (all_44_2 = e0)
% 171.41/25.94 | | | | | | | | | | | | | | | | | |
% 171.41/25.94 | | | | | | | | | | | | | | | | | | REDUCE: (2771), (2782) imply:
% 171.41/25.94 | | | | | | | | | | | | | | | | | | (2783) $false
% 171.41/25.94 | | | | | | | | | | | | | | | | | |
% 171.41/25.94 | | | | | | | | | | | | | | | | | | CLOSE: (2783) is inconsistent.
% 171.41/25.94 | | | | | | | | | | | | | | | | | |
% 171.41/25.94 | | | | | | | | | | | | | | | | | Case 2:
% 171.41/25.94 | | | | | | | | | | | | | | | | | |
% 171.41/25.94 | | | | | | | | | | | | | | | | | | (2784) op(e3, e0) = all_44_1 & $i(all_44_1) & ( ~
% 171.41/25.94 | | | | | | | | | | | | | | | | | | (all_44_1 = e1) | ( ~ (all_44_0 = e2) & op(e1,
% 171.41/25.94 | | | | | | | | | | | | | | | | | | e3) = all_44_0 & $i(all_44_0)))
% 171.41/25.94 | | | | | | | | | | | | | | | | | |
% 171.41/25.94 | | | | | | | | | | | | | | | | | | ALPHA: (2784) implies:
% 171.41/25.94 | | | | | | | | | | | | | | | | | | (2785) op(e3, e0) = all_44_1
% 171.41/25.94 | | | | | | | | | | | | | | | | | |
% 171.41/25.94 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e2, all_65_3, e0, e0,
% 171.41/25.94 | | | | | | | | | | | | | | | | | | simplifying with (2471), (2777) gives:
% 171.41/25.94 | | | | | | | | | | | | | | | | | | (2786) all_65_3 = e2
% 171.41/25.94 | | | | | | | | | | | | | | | | | |
% 171.41/25.94 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_49, all_65_3, e0,
% 171.41/25.94 | | | | | | | | | | | | | | | | | | e0, simplifying with (2777), (2781) gives:
% 171.41/25.94 | | | | | | | | | | | | | | | | | | (2787) all_65_3 = all_65_49
% 171.41/25.94 | | | | | | | | | | | | | | | | | |
% 171.41/25.94 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_11, all_65_2, e1,
% 171.41/25.94 | | | | | | | | | | | | | | | | | | e0, simplifying with (224), (2776) gives:
% 171.41/25.94 | | | | | | | | | | | | | | | | | | (2788) all_65_2 = all_61_11
% 171.41/25.94 | | | | | | | | | | | | | | | | | |
% 171.41/25.94 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_3, all_65_0, e3,
% 171.41/25.94 | | | | | | | | | | | | | | | | | | e0, simplifying with (226), (2775) gives:
% 171.41/25.94 | | | | | | | | | | | | | | | | | | (2789) all_65_0 = all_61_3
% 171.41/25.94 | | | | | | | | | | | | | | | | | |
% 171.41/25.94 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_14, all_65_32, e0,
% 171.41/25.94 | | | | | | | | | | | | | | | | | | e1, simplifying with (227), (2780) gives:
% 171.41/25.94 | | | | | | | | | | | | | | | | | | (2790) all_65_32 = all_61_14
% 171.41/25.94 | | | | | | | | | | | | | | | | | |
% 171.41/25.94 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_20_1, all_65_16, e0,
% 171.41/25.94 | | | | | | | | | | | | | | | | | | e2, simplifying with (2515), (2779) gives:
% 171.41/25.94 | | | | | | | | | | | | | | | | | | (2791) all_65_16 = all_20_1
% 171.41/25.94 | | | | | | | | | | | | | | | | | |
% 171.41/25.94 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_12, all_44_1, e0,
% 171.41/25.94 | | | | | | | | | | | | | | | | | | e3, simplifying with (235), (2785) gives:
% 171.41/25.94 | | | | | | | | | | | | | | | | | | (2792) all_61_12 = all_44_1
% 171.41/25.94 | | | | | | | | | | | | | | | | | |
% 171.41/25.94 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_12, all_65_0, e0,
% 171.41/25.94 | | | | | | | | | | | | | | | | | | e3, simplifying with (235), (2778) gives:
% 171.41/25.94 | | | | | | | | | | | | | | | | | | (2793) all_65_0 = all_61_12
% 171.41/25.94 | | | | | | | | | | | | | | | | | |
% 171.41/25.94 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_36_1, all_65_0, e0,
% 171.41/25.94 | | | | | | | | | | | | | | | | | | e3, simplifying with (2768), (2778) gives:
% 171.41/25.94 | | | | | | | | | | | | | | | | | | (2794) all_65_0 = all_36_1
% 171.41/25.94 | | | | | | | | | | | | | | | | | |
% 171.41/25.94 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2789), (2794) imply:
% 171.41/25.94 | | | | | | | | | | | | | | | | | | (2795) all_61_3 = all_36_1
% 171.41/25.94 | | | | | | | | | | | | | | | | | |
% 171.41/25.94 | | | | | | | | | | | | | | | | | | SIMP: (2795) implies:
% 171.41/25.94 | | | | | | | | | | | | | | | | | | (2796) all_61_3 = all_36_1
% 171.41/25.94 | | | | | | | | | | | | | | | | | |
% 171.41/25.94 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2793), (2794) imply:
% 171.41/25.94 | | | | | | | | | | | | | | | | | | (2797) all_61_12 = all_36_1
% 171.41/25.94 | | | | | | | | | | | | | | | | | |
% 171.41/25.94 | | | | | | | | | | | | | | | | | | SIMP: (2797) implies:
% 171.41/25.94 | | | | | | | | | | | | | | | | | | (2798) all_61_12 = all_36_1
% 171.41/25.94 | | | | | | | | | | | | | | | | | |
% 171.41/25.94 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2786), (2787) imply:
% 171.41/25.94 | | | | | | | | | | | | | | | | | | (2799) all_65_49 = e2
% 171.41/25.94 | | | | | | | | | | | | | | | | | |
% 171.41/25.94 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2792), (2798) imply:
% 171.41/25.94 | | | | | | | | | | | | | | | | | | (2800) all_44_1 = all_36_1
% 171.41/25.94 | | | | | | | | | | | | | | | | | |
% 171.41/25.94 | | | | | | | | | | | | | | | | | | REDUCE: (215), (2796) imply:
% 171.41/25.94 | | | | | | | | | | | | | | | | | | (2801) ~ (all_61_1 = all_36_1)
% 171.41/25.94 | | | | | | | | | | | | | | | | | |
% 171.41/25.94 | | | | | | | | | | | | | | | | | | REDUCE: (187), (2798) imply:
% 171.41/25.94 | | | | | | | | | | | | | | | | | | (2802) ~ (all_61_8 = all_36_1)
% 171.41/25.94 | | | | | | | | | | | | | | | | | |
% 171.41/25.94 | | | | | | | | | | | | | | | | | | REDUCE: (2499), (2798) imply:
% 171.41/25.94 | | | | | | | | | | | | | | | | | | (2803) ~ (all_36_1 = all_20_1)
% 171.41/25.94 | | | | | | | | | | | | | | | | | |
% 171.41/25.94 | | | | | | | | | | | | | | | | | | REDUCE: (2461), (2798) imply:
% 171.41/25.94 | | | | | | | | | | | | | | | | | | (2804) ~ (all_36_1 = e2)
% 171.41/25.94 | | | | | | | | | | | | | | | | | |
% 171.41/25.94 | | | | | | | | | | | | | | | | | | REDUCE: (2774), (2798) imply:
% 171.41/25.94 | | | | | | | | | | | | | | | | | | (2805) ~ (all_36_1 = e0)
% 171.41/25.94 | | | | | | | | | | | | | | | | | |
% 171.41/25.94 | | | | | | | | | | | | | | | | | | REDUCE: (685), (2796) imply:
% 171.41/25.94 | | | | | | | | | | | | | | | | | | (2806) op(all_36_1, e0) = all_65_55
% 171.41/25.94 | | | | | | | | | | | | | | | | | |
% 171.41/25.94 | | | | | | | | | | | | | | | | | | REDUCE: (2508), (2798) imply:
% 171.41/25.94 | | | | | | | | | | | | | | | | | | (2807) op(all_36_1, e0) = all_61_4
% 171.41/25.94 | | | | | | | | | | | | | | | | | |
% 171.41/25.94 | | | | | | | | | | | | | | | | | | REDUCE: (2518), (2796) imply:
% 171.41/25.94 | | | | | | | | | | | | | | | | | | (2808) op(e0, all_36_1) = all_61_1
% 171.41/25.94 | | | | | | | | | | | | | | | | | |
% 171.41/25.94 | | | | | | | | | | | | | | | | | | REDUCE: (752), (2798) imply:
% 171.41/25.94 | | | | | | | | | | | | | | | | | | (2809) op(e0, all_36_1) = all_65_55
% 171.41/25.94 | | | | | | | | | | | | | | | | | |
% 171.41/25.94 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_1, all_65_55,
% 171.41/25.94 | | | | | | | | | | | | | | | | | | all_36_1, e0, simplifying with (2808), (2809)
% 171.41/25.94 | | | | | | | | | | | | | | | | | | gives:
% 171.41/25.94 | | | | | | | | | | | | | | | | | | (2810) all_65_55 = all_61_1
% 171.41/25.94 | | | | | | | | | | | | | | | | | |
% 171.41/25.94 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_4, all_65_55, e0,
% 171.41/25.94 | | | | | | | | | | | | | | | | | | all_36_1, simplifying with (2806), (2807) gives:
% 171.41/25.94 | | | | | | | | | | | | | | | | | | (2811) all_65_55 = all_61_4
% 171.41/25.94 | | | | | | | | | | | | | | | | | |
% 171.41/25.94 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2810), (2811) imply:
% 171.41/25.94 | | | | | | | | | | | | | | | | | | (2812) all_61_1 = all_61_4
% 171.41/25.94 | | | | | | | | | | | | | | | | | |
% 171.41/25.94 | | | | | | | | | | | | | | | | | | SIMP: (2812) implies:
% 171.41/25.94 | | | | | | | | | | | | | | | | | | (2813) all_61_1 = all_61_4
% 171.41/25.94 | | | | | | | | | | | | | | | | | |
% 171.41/25.94 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (493), (2813) imply:
% 171.41/25.94 | | | | | | | | | | | | | | | | | | (2814) all_63_4 = all_61_4
% 171.41/25.94 | | | | | | | | | | | | | | | | | |
% 171.41/25.94 | | | | | | | | | | | | | | | | | | REDUCE: (213), (2813) imply:
% 171.41/25.94 | | | | | | | | | | | | | | | | | | (2815) ~ (all_61_4 = all_61_9)
% 171.41/25.94 | | | | | | | | | | | | | | | | | |
% 171.41/25.94 | | | | | | | | | | | | | | | | | | REDUCE: (2801), (2813) imply:
% 171.41/25.94 | | | | | | | | | | | | | | | | | | (2816) ~ (all_61_4 = all_36_1)
% 171.41/25.94 | | | | | | | | | | | | | | | | | |
% 171.41/25.94 | | | | | | | | | | | | | | | | | | REDUCE: (2772), (2813) imply:
% 171.41/25.94 | | | | | | | | | | | | | | | | | | (2817) ~ (all_61_4 = e0)
% 171.41/25.94 | | | | | | | | | | | | | | | | | |
% 171.41/25.94 | | | | | | | | | | | | | | | | | | BETA: splitting (157) gives:
% 171.41/25.94 | | | | | | | | | | | | | | | | | |
% 171.41/25.94 | | | | | | | | | | | | | | | | | | Case 1:
% 171.41/25.94 | | | | | | | | | | | | | | | | | | |
% 171.41/25.94 | | | | | | | | | | | | | | | | | | | (2818) ~ (all_58_3 = e1)
% 171.41/25.94 | | | | | | | | | | | | | | | | | | |
% 171.41/25.94 | | | | | | | | | | | | | | | | | | | REDUCE: (475), (2818) imply:
% 171.41/25.94 | | | | | | | | | | | | | | | | | | | (2819) ~ (all_52_3 = e1)
% 171.41/25.94 | | | | | | | | | | | | | | | | | | |
% 171.41/25.94 | | | | | | | | | | | | | | | | | | | BETA: splitting (159) gives:
% 171.41/25.94 | | | | | | | | | | | | | | | | | | |
% 171.41/25.94 | | | | | | | | | | | | | | | | | | | Case 1:
% 171.41/25.94 | | | | | | | | | | | | | | | | | | | |
% 171.41/25.94 | | | | | | | | | | | | | | | | | | | | (2820) ~ (all_58_3 = e3)
% 171.41/25.94 | | | | | | | | | | | | | | | | | | | |
% 171.41/25.94 | | | | | | | | | | | | | | | | | | | | REDUCE: (475), (2820) imply:
% 171.41/25.94 | | | | | | | | | | | | | | | | | | | | (2821) ~ (all_52_3 = e3)
% 171.41/25.94 | | | | | | | | | | | | | | | | | | | |
% 171.41/25.94 | | | | | | | | | | | | | | | | | | | | BETA: splitting (158) gives:
% 171.41/25.94 | | | | | | | | | | | | | | | | | | | |
% 171.41/25.94 | | | | | | | | | | | | | | | | | | | | Case 1:
% 171.41/25.94 | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.94 | | | | | | | | | | | | | | | | | | | | | (2822) ~ (all_58_3 = e2)
% 171.41/25.94 | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.94 | | | | | | | | | | | | | | | | | | | | | REDUCE: (475), (2822) imply:
% 171.41/25.94 | | | | | | | | | | | | | | | | | | | | | (2823) ~ (all_52_3 = e2)
% 171.41/25.94 | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.94 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (50), (148), (232), (539), (765), (866),
% 171.41/25.94 | | | | | | | | | | | | | | | | | | | | | (2471), (2819), (2821), (2823) are inconsistent by
% 171.41/25.94 | | | | | | | | | | | | | | | | | | | | | sub-proof #385.
% 171.41/25.94 | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.94 | | | | | | | | | | | | | | | | | | | | Case 2:
% 171.41/25.94 | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.94 | | | | | | | | | | | | | | | | | | | | | (2824) all_58_3 = e2
% 171.41/25.94 | | | | | | | | | | | | | | | | | | | | | (2825) all_58_1 = e0
% 171.41/25.94 | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.94 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (50), (475), (481), (632), (731), (2515),
% 171.41/25.94 | | | | | | | | | | | | | | | | | | | | | (2540), (2824), (2825) are inconsistent by
% 171.41/25.94 | | | | | | | | | | | | | | | | | | | | | sub-proof #378.
% 171.41/25.94 | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.94 | | | | | | | | | | | | | | | | | | | | End of split
% 171.41/25.94 | | | | | | | | | | | | | | | | | | | |
% 171.41/25.94 | | | | | | | | | | | | | | | | | | | Case 2:
% 171.41/25.94 | | | | | | | | | | | | | | | | | | | |
% 171.41/25.94 | | | | | | | | | | | | | | | | | | | | (2826) all_58_0 = e0
% 171.41/25.94 | | | | | | | | | | | | | | | | | | | |
% 171.41/25.94 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (484), (2826) imply:
% 171.41/25.95 | | | | | | | | | | | | | | | | | | | | (2827) all_52_0 = e0
% 171.41/25.95 | | | | | | | | | | | | | | | | | | | |
% 171.41/25.95 | | | | | | | | | | | | | | | | | | | | SIMP: (2827) implies:
% 171.41/25.95 | | | | | | | | | | | | | | | | | | | | (2828) all_52_0 = e0
% 171.41/25.95 | | | | | | | | | | | | | | | | | | | |
% 171.41/25.95 | | | | | | | | | | | | | | | | | | | | REDUCE: (714), (2828) imply:
% 171.41/25.95 | | | | | | | | | | | | | | | | | | | | (2829) op(e3, e0) = unit
% 171.41/25.95 | | | | | | | | | | | | | | | | | | | |
% 171.41/25.95 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_36_1, unit, e0, e3,
% 171.41/25.95 | | | | | | | | | | | | | | | | | | | | simplifying with (2768), (2829) gives:
% 171.41/25.95 | | | | | | | | | | | | | | | | | | | | (2830) all_36_1 = unit
% 171.41/25.95 | | | | | | | | | | | | | | | | | | | |
% 171.41/25.95 | | | | | | | | | | | | | | | | | | | | REDUCE: (2816), (2830) imply:
% 171.41/25.95 | | | | | | | | | | | | | | | | | | | | (2831) ~ (all_61_4 = unit)
% 171.41/25.95 | | | | | | | | | | | | | | | | | | | |
% 171.41/25.95 | | | | | | | | | | | | | | | | | | | | REDUCE: (2802), (2830) imply:
% 171.41/25.95 | | | | | | | | | | | | | | | | | | | | (2832) ~ (all_61_8 = unit)
% 171.41/25.95 | | | | | | | | | | | | | | | | | | | |
% 171.41/25.95 | | | | | | | | | | | | | | | | | | | | REDUCE: (2803), (2830) imply:
% 171.41/25.95 | | | | | | | | | | | | | | | | | | | | (2833) ~ (all_20_1 = unit)
% 171.41/25.95 | | | | | | | | | | | | | | | | | | | |
% 171.41/25.95 | | | | | | | | | | | | | | | | | | | | SIMP: (2833) implies:
% 171.41/25.95 | | | | | | | | | | | | | | | | | | | | (2834) ~ (all_20_1 = unit)
% 171.41/25.95 | | | | | | | | | | | | | | | | | | | |
% 171.41/25.95 | | | | | | | | | | | | | | | | | | | | REDUCE: (2804), (2830) imply:
% 171.41/25.95 | | | | | | | | | | | | | | | | | | | | (2835) ~ (unit = e2)
% 171.41/25.95 | | | | | | | | | | | | | | | | | | | |
% 171.41/25.95 | | | | | | | | | | | | | | | | | | | | REDUCE: (2805), (2830) imply:
% 171.41/25.95 | | | | | | | | | | | | | | | | | | | | (2836) ~ (unit = e0)
% 171.41/25.95 | | | | | | | | | | | | | | | | | | | |
% 171.41/25.95 | | | | | | | | | | | | | | | | | | | | BETA: splitting (852) gives:
% 171.41/25.95 | | | | | | | | | | | | | | | | | | | |
% 171.41/25.95 | | | | | | | | | | | | | | | | | | | | Case 1:
% 171.41/25.95 | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.95 | | | | | | | | | | | | | | | | | | | | | (2837) unit = e2
% 171.41/25.95 | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.95 | | | | | | | | | | | | | | | | | | | | | REDUCE: (2835), (2837) imply:
% 171.41/25.95 | | | | | | | | | | | | | | | | | | | | | (2838) $false
% 171.41/25.95 | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.95 | | | | | | | | | | | | | | | | | | | | | CLOSE: (2838) is inconsistent.
% 171.41/25.95 | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.95 | | | | | | | | | | | | | | | | | | | | Case 2:
% 171.41/25.95 | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.95 | | | | | | | | | | | | | | | | | | | | | (2839) unit = e1 | unit = e0
% 171.41/25.95 | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.95 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2839) gives:
% 171.41/25.95 | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.95 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 171.41/25.95 | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.95 | | | | | | | | | | | | | | | | | | | | | | (2840) unit = e1
% 171.41/25.95 | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.95 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2831), (2840) imply:
% 171.41/25.95 | | | | | | | | | | | | | | | | | | | | | | (2841) ~ (all_61_4 = e1)
% 171.41/25.95 | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.95 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2834), (2840) imply:
% 171.41/25.95 | | | | | | | | | | | | | | | | | | | | | | (2842) ~ (all_20_1 = e1)
% 171.41/25.95 | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.95 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2476) gives:
% 171.41/25.95 | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.95 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 171.41/25.95 | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.95 | | | | | | | | | | | | | | | | | | | | | | | (2843) ~ (all_46_1 = e3)
% 171.41/25.95 | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.95 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2493), (2843) imply:
% 171.41/25.95 | | | | | | | | | | | | | | | | | | | | | | | (2844) ~ (all_20_1 = e3)
% 171.41/25.95 | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.95 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (258) gives:
% 171.41/25.95 | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.95 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 171.41/25.95 | | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.95 | | | | | | | | | | | | | | | | | | | | | | | | (2845) all_63_13 = e3
% 171.41/25.95 | | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.95 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2495), (2845) imply:
% 171.41/25.95 | | | | | | | | | | | | | | | | | | | | | | | | (2846) all_20_1 = e3
% 171.41/25.95 | | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.95 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2844), (2846) imply:
% 171.41/25.95 | | | | | | | | | | | | | | | | | | | | | | | | (2847) $false
% 171.41/25.95 | | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.95 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2847) is inconsistent.
% 171.41/25.95 | | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.95 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 171.41/25.95 | | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.95 | | | | | | | | | | | | | | | | | | | | | | | | (2848) ~ (all_63_13 = e3)
% 171.41/25.95 | | | | | | | | | | | | | | | | | | | | | | | | (2849) all_63_13 = e2 | all_63_13 = e1 | all_63_13 = e0
% 171.41/25.95 | | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.95 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (267) gives:
% 171.41/25.95 | | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.95 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 171.41/25.95 | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | (2850) all_63_4 = e3
% 171.41/25.95 | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2814), (2850) imply:
% 171.41/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | (2851) all_61_4 = e3
% 171.41/25.95 | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (201), (2851) imply:
% 171.41/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | (2852) ~ (all_61_8 = e3)
% 171.41/25.95 | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2852) implies:
% 171.41/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | (2853) ~ (all_61_8 = e3)
% 171.41/25.95 | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2815), (2851) imply:
% 171.41/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | (2854) ~ (all_61_9 = e3)
% 171.41/25.95 | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2854) implies:
% 171.41/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | (2855) ~ (all_61_9 = e3)
% 171.41/25.95 | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2849) gives:
% 171.41/25.95 | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 171.41/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | (2856) all_63_13 = e2
% 171.41/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2495), (2856) imply:
% 171.41/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | (2857) all_20_1 = e2
% 171.41/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2503), (2857) imply:
% 171.41/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | (2858) $false
% 171.41/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2858) is inconsistent.
% 171.41/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 171.41/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | (2859) all_63_13 = e1 | all_63_13 = e0
% 171.41/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2859) gives:
% 171.41/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 171.41/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2860) all_63_13 = e1
% 171.41/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2495), (2860) imply:
% 171.41/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2861) all_20_1 = e1
% 171.41/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2842), (2861) imply:
% 171.41/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2862) $false
% 171.41/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2862) is inconsistent.
% 171.41/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 171.41/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2863) all_63_13 = e0
% 171.41/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2495), (2863) imply:
% 171.41/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2864) all_20_1 = e0
% 171.41/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2498), (2864) imply:
% 171.41/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2865) ~ (all_61_9 = e0)
% 171.41/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (190), (265), (269), (489), (497), (865), (866),
% 171.41/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2773), (2853), (2855), (2865) are inconsistent by
% 171.41/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #377.
% 171.41/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 171.41/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 171.41/25.95 | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.95 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 171.41/25.95 | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | (2866) all_63_4 = e2 | all_63_4 = e1 | all_63_4 = e0
% 171.41/25.95 | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (258), (2495), (2497), (2503), (2538), (2814),
% 171.41/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | (2841), (2842), (2844), (2866) are inconsistent by
% 171.41/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #376.
% 171.41/25.95 | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.95 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 171.41/25.95 | | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.95 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 171.41/25.95 | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.95 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 171.41/25.95 | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.95 | | | | | | | | | | | | | | | | | | | | | | | (2867) all_46_1 = e3
% 171.41/25.95 | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.95 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2493), (2867) imply:
% 171.41/25.95 | | | | | | | | | | | | | | | | | | | | | | | (2868) all_20_1 = e3
% 171.41/25.95 | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.95 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2497), (2868) imply:
% 171.41/25.95 | | | | | | | | | | | | | | | | | | | | | | | (2869) ~ (all_61_4 = e3)
% 171.41/25.95 | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.95 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (270), (488), (2538), (2817), (2841), (2869) are
% 171.41/25.95 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #418.
% 171.41/25.95 | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.95 | | | | | | | | | | | | | | | | | | | | | | End of split
% 171.41/25.95 | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.95 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 171.41/25.95 | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.95 | | | | | | | | | | | | | | | | | | | | | | (2870) ~ (unit = e1)
% 171.41/25.95 | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.95 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2836), (2839), (2870) are inconsistent by
% 171.41/25.95 | | | | | | | | | | | | | | | | | | | | | | sub-proof #419.
% 171.41/25.95 | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.95 | | | | | | | | | | | | | | | | | | | | | End of split
% 171.41/25.95 | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.95 | | | | | | | | | | | | | | | | | | | | End of split
% 171.41/25.95 | | | | | | | | | | | | | | | | | | | |
% 171.41/25.95 | | | | | | | | | | | | | | | | | | | End of split
% 171.41/25.95 | | | | | | | | | | | | | | | | | | |
% 171.41/25.95 | | | | | | | | | | | | | | | | | | Case 2:
% 171.41/25.95 | | | | | | | | | | | | | | | | | | |
% 171.41/25.95 | | | | | | | | | | | | | | | | | | | (2871) all_58_3 = e1
% 171.41/25.95 | | | | | | | | | | | | | | | | | | | (2872) all_58_2 = e0
% 171.41/25.95 | | | | | | | | | | | | | | | | | | |
% 171.41/25.95 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (478), (2872) imply:
% 171.41/25.95 | | | | | | | | | | | | | | | | | | | (2873) all_52_2 = e0
% 171.41/25.95 | | | | | | | | | | | | | | | | | | |
% 171.41/25.95 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (475), (2871) imply:
% 171.41/25.95 | | | | | | | | | | | | | | | | | | | (2874) all_52_3 = e1
% 171.41/25.95 | | | | | | | | | | | | | | | | | | |
% 171.41/25.95 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (50), (224), (227), (680), (748), (765),
% 171.41/25.95 | | | | | | | | | | | | | | | | | | | (868), (886), (2873), (2874) are inconsistent by
% 171.41/25.95 | | | | | | | | | | | | | | | | | | | sub-proof #495.
% 171.41/25.95 | | | | | | | | | | | | | | | | | | |
% 171.41/25.95 | | | | | | | | | | | | | | | | | | End of split
% 171.41/25.95 | | | | | | | | | | | | | | | | | |
% 171.41/25.95 | | | | | | | | | | | | | | | | | End of split
% 171.41/25.95 | | | | | | | | | | | | | | | | |
% 171.41/25.95 | | | | | | | | | | | | | | | | End of split
% 171.41/25.95 | | | | | | | | | | | | | | | |
% 171.41/25.95 | | | | | | | | | | | | | | | Case 2:
% 171.41/25.95 | | | | | | | | | | | | | | | |
% 171.41/25.95 | | | | | | | | | | | | | | | | (2875) all_63_5 = e1 | all_63_5 = e0
% 171.41/25.95 | | | | | | | | | | | | | | | |
% 171.41/25.95 | | | | | | | | | | | | | | | | REF_CLOSE: (587), (889), (2530), (2875) are inconsistent by
% 171.41/25.95 | | | | | | | | | | | | | | | | sub-proof #524.
% 171.41/25.95 | | | | | | | | | | | | | | | |
% 171.41/25.95 | | | | | | | | | | | | | | | End of split
% 171.41/25.95 | | | | | | | | | | | | | | |
% 171.41/25.95 | | | | | | | | | | | | | | End of split
% 171.41/25.95 | | | | | | | | | | | | | |
% 171.41/25.95 | | | | | | | | | | | | | Case 2:
% 171.41/25.95 | | | | | | | | | | | | | |
% 171.41/25.95 | | | | | | | | | | | | | | (2876) all_22_2 = e0
% 171.41/25.95 | | | | | | | | | | | | | | (2877) op(e2, e0) = all_22_1 & $i(all_22_1) & ( ~
% 171.41/25.95 | | | | | | | | | | | | | | (all_22_1 = e1) | ( ~ (all_22_0 = e3) & op(e1,
% 171.41/25.95 | | | | | | | | | | | | | | e2) = all_22_0 & $i(all_22_0)))
% 171.41/25.95 | | | | | | | | | | | | | |
% 171.41/25.95 | | | | | | | | | | | | | | ALPHA: (2877) implies:
% 171.41/25.95 | | | | | | | | | | | | | | (2878) op(e2, e0) = all_22_1
% 171.41/25.95 | | | | | | | | | | | | | |
% 171.41/25.95 | | | | | | | | | | | | | | COMBINE_EQS: (449), (2876) imply:
% 171.41/25.95 | | | | | | | | | | | | | | (2879) all_6_2 = e0
% 171.41/25.95 | | | | | | | | | | | | | |
% 171.41/25.95 | | | | | | | | | | | | | | COMBINE_EQS: (580), (2879) imply:
% 171.41/25.95 | | | | | | | | | | | | | | (2880) all_38_2 = e0
% 171.41/25.95 | | | | | | | | | | | | | |
% 171.41/25.95 | | | | | | | | | | | | | | REDUCE: (604), (2879) imply:
% 171.41/25.95 | | | | | | | | | | | | | | (2881) ~ (all_61_1 = e0)
% 171.41/25.95 | | | | | | | | | | | | | |
% 171.41/25.95 | | | | | | | | | | | | | | REDUCE: (607), (2879) imply:
% 171.41/25.95 | | | | | | | | | | | | | | (2882) ~ (all_61_4 = e0)
% 171.41/25.95 | | | | | | | | | | | | | |
% 171.41/25.95 | | | | | | | | | | | | | | REDUCE: (609), (2879) imply:
% 171.41/25.95 | | | | | | | | | | | | | | (2883) ~ (all_61_6 = e0)
% 171.41/25.95 | | | | | | | | | | | | | |
% 171.41/25.95 | | | | | | | | | | | | | | REDUCE: (613), (2879) imply:
% 171.41/25.95 | | | | | | | | | | | | | | (2884) ~ (all_61_9 = e0)
% 171.41/25.95 | | | | | | | | | | | | | |
% 171.41/25.95 | | | | | | | | | | | | | | REDUCE: (2502), (2879) imply:
% 171.41/25.95 | | | | | | | | | | | | | | (2885) ~ (all_20_1 = e0)
% 171.41/25.95 | | | | | | | | | | | | | |
% 171.41/25.95 | | | | | | | | | | | | | | REDUCE: (654), (2879) imply:
% 171.41/25.95 | | | | | | | | | | | | | | (2886) op(e0, e3) = all_65_20
% 171.41/25.95 | | | | | | | | | | | | | |
% 171.41/25.95 | | | | | | | | | | | | | | REDUCE: (656), (2879) imply:
% 171.41/25.95 | | | | | | | | | | | | | | (2887) op(e0, e1) = all_65_22
% 171.41/25.95 | | | | | | | | | | | | | |
% 171.41/25.95 | | | | | | | | | | | | | | REDUCE: (703), (2879) imply:
% 171.41/25.95 | | | | | | | | | | | | | | (2888) op(e3, e0) = all_65_5
% 171.41/25.95 | | | | | | | | | | | | | |
% 171.41/25.95 | | | | | | | | | | | | | | REDUCE: (720), (2879) imply:
% 171.41/25.95 | | | | | | | | | | | | | | (2889) op(e2, e0) = all_65_21
% 171.41/25.95 | | | | | | | | | | | | | |
% 171.41/25.95 | | | | | | | | | | | | | | REDUCE: (55), (2879) imply:
% 171.41/25.95 | | | | | | | | | | | | | | (2890) op(e2, e2) = e0
% 171.41/25.95 | | | | | | | | | | | | | |
% 171.41/25.95 | | | | | | | | | | | | | | REDUCE: (737), (2879) imply:
% 171.41/25.95 | | | | | | | | | | | | | | (2891) op(e1, e0) = all_65_37
% 171.41/25.95 | | | | | | | | | | | | | |
% 171.41/25.95 | | | | | | | | | | | | | | REDUCE: (754), (2879) imply:
% 171.41/25.95 | | | | | | | | | | | | | | (2892) op(e0, e0) = all_65_59
% 171.41/25.95 | | | | | | | | | | | | | |
% 171.41/25.95 | | | | | | | | | | | | | | BETA: splitting (104) gives:
% 171.41/25.95 | | | | | | | | | | | | | |
% 171.41/25.95 | | | | | | | | | | | | | | Case 1:
% 171.41/25.95 | | | | | | | | | | | | | | |
% 171.41/25.95 | | | | | | | | | | | | | | | (2893) ~ (all_38_2 = e0)
% 171.41/25.95 | | | | | | | | | | | | | | |
% 171.41/25.95 | | | | | | | | | | | | | | | REDUCE: (2880), (2893) imply:
% 171.41/25.95 | | | | | | | | | | | | | | | (2894) $false
% 171.41/25.95 | | | | | | | | | | | | | | |
% 171.41/25.95 | | | | | | | | | | | | | | | CLOSE: (2894) is inconsistent.
% 171.41/25.95 | | | | | | | | | | | | | | |
% 171.41/25.95 | | | | | | | | | | | | | | Case 2:
% 171.41/25.95 | | | | | | | | | | | | | | |
% 171.41/25.96 | | | | | | | | | | | | | | | (2895) op(e2, e0) = all_38_1 & $i(all_38_1) & ( ~
% 171.41/25.96 | | | | | | | | | | | | | | | (all_38_1 = e3) | ( ~ (all_38_0 = e1) & op(e3,
% 171.41/25.96 | | | | | | | | | | | | | | | e2) = all_38_0 & $i(all_38_0)))
% 171.41/25.96 | | | | | | | | | | | | | | |
% 171.41/25.96 | | | | | | | | | | | | | | | ALPHA: (2895) implies:
% 171.41/25.96 | | | | | | | | | | | | | | | (2896) op(e2, e0) = all_38_1
% 171.41/25.96 | | | | | | | | | | | | | | |
% 171.41/25.96 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e2, all_65_59, e0, e0,
% 171.41/25.96 | | | | | | | | | | | | | | | simplifying with (2471), (2892) gives:
% 171.41/25.96 | | | | | | | | | | | | | | | (2897) all_65_59 = e2
% 171.41/25.96 | | | | | | | | | | | | | | |
% 171.41/25.96 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_11, all_65_22, e1,
% 171.41/25.96 | | | | | | | | | | | | | | | e0, simplifying with (224), (2887) gives:
% 171.41/25.96 | | | | | | | | | | | | | | | (2898) all_65_22 = all_61_11
% 171.41/25.96 | | | | | | | | | | | | | | |
% 171.41/25.96 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_3, all_65_20, e3,
% 171.41/25.96 | | | | | | | | | | | | | | | e0, simplifying with (226), (2886) gives:
% 171.41/25.96 | | | | | | | | | | | | | | | (2899) all_65_20 = all_61_3
% 171.41/25.96 | | | | | | | | | | | | | | |
% 171.41/25.96 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_14, all_65_37, e0,
% 171.41/25.96 | | | | | | | | | | | | | | | e1, simplifying with (227), (2891) gives:
% 171.41/25.96 | | | | | | | | | | | | | | | (2900) all_65_37 = all_61_14
% 171.41/25.96 | | | | | | | | | | | | | | |
% 171.41/25.96 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_20_1, all_38_1, e0,
% 171.41/25.96 | | | | | | | | | | | | | | | e2, simplifying with (2515), (2896) gives:
% 171.41/25.96 | | | | | | | | | | | | | | | (2901) all_38_1 = all_20_1
% 171.41/25.96 | | | | | | | | | | | | | | |
% 171.41/25.96 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_38_1, all_65_21, e0,
% 171.41/25.96 | | | | | | | | | | | | | | | e2, simplifying with (2889), (2896) gives:
% 171.41/25.96 | | | | | | | | | | | | | | | (2902) all_65_21 = all_38_1
% 171.41/25.96 | | | | | | | | | | | | | | |
% 171.41/25.96 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_22_1, all_65_21, e0,
% 171.41/25.96 | | | | | | | | | | | | | | | e2, simplifying with (2878), (2889) gives:
% 171.41/25.96 | | | | | | | | | | | | | | | (2903) all_65_21 = all_22_1
% 171.41/25.96 | | | | | | | | | | | | | | |
% 171.41/25.96 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_12, all_65_5, e0,
% 171.41/25.96 | | | | | | | | | | | | | | | e3, simplifying with (235), (2888) gives:
% 171.41/25.96 | | | | | | | | | | | | | | | (2904) all_65_5 = all_61_12
% 171.41/25.96 | | | | | | | | | | | | | | |
% 171.41/25.96 | | | | | | | | | | | | | | | COMBINE_EQS: (2902), (2903) imply:
% 171.41/25.96 | | | | | | | | | | | | | | | (2905) all_38_1 = all_22_1
% 171.41/25.96 | | | | | | | | | | | | | | |
% 171.41/25.96 | | | | | | | | | | | | | | | SIMP: (2905) implies:
% 171.41/25.96 | | | | | | | | | | | | | | | (2906) all_38_1 = all_22_1
% 171.41/25.96 | | | | | | | | | | | | | | |
% 171.41/25.96 | | | | | | | | | | | | | | | COMBINE_EQS: (2901), (2906) imply:
% 171.41/25.96 | | | | | | | | | | | | | | | (2907) all_22_1 = all_20_1
% 171.41/25.96 | | | | | | | | | | | | | | |
% 171.41/25.96 | | | | | | | | | | | | | | | REDUCE: (639), (2904) imply:
% 171.41/25.96 | | | | | | | | | | | | | | | (2908) op(all_61_4, e2) = all_61_12
% 171.41/25.96 | | | | | | | | | | | | | | |
% 171.41/25.96 | | | | | | | | | | | | | | | REDUCE: (2505), (2897) imply:
% 171.41/25.96 | | | | | | | | | | | | | | | (2909) op(all_20_1, e2) = e2
% 171.41/25.96 | | | | | | | | | | | | | | |
% 171.41/25.96 | | | | | | | | | | | | | | | BETA: splitting (101) gives:
% 171.41/25.96 | | | | | | | | | | | | | | |
% 171.41/25.96 | | | | | | | | | | | | | | | Case 1:
% 171.41/25.96 | | | | | | | | | | | | | | | |
% 171.41/25.96 | | | | | | | | | | | | | | | | (2910) ~ (all_36_2 = e0)
% 171.41/25.96 | | | | | | | | | | | | | | | |
% 171.41/25.96 | | | | | | | | | | | | | | | | REDUCE: (557), (2910) imply:
% 171.41/25.96 | | | | | | | | | | | | | | | | (2911) ~ (all_14_2 = e0)
% 171.41/25.96 | | | | | | | | | | | | | | | |
% 171.41/25.96 | | | | | | | | | | | | | | | | BETA: splitting (107) gives:
% 171.41/25.96 | | | | | | | | | | | | | | | |
% 171.41/25.96 | | | | | | | | | | | | | | | | Case 1:
% 171.41/25.96 | | | | | | | | | | | | | | | | |
% 171.41/25.96 | | | | | | | | | | | | | | | | | (2912) ~ (all_40_2 = e1)
% 171.41/25.96 | | | | | | | | | | | | | | | | |
% 171.41/25.96 | | | | | | | | | | | | | | | | | REDUCE: (553), (2912) imply:
% 171.41/25.96 | | | | | | | | | | | | | | | | | (2913) ~ (all_14_2 = e1)
% 171.41/25.96 | | | | | | | | | | | | | | | | |
% 171.41/25.96 | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (50), (67), (151), (159), (162), (165),
% 171.41/25.96 | | | | | | | | | | | | | | | | | (166), (167), (168), (226), (230), (234), (235),
% 171.41/25.96 | | | | | | | | | | | | | | | | | (236), (237), (271), (475), (478), (481), (484),
% 171.41/25.96 | | | | | | | | | | | | | | | | | (534), (588), (599), (601), (603), (635), (636),
% 171.41/25.96 | | | | | | | | | | | | | | | | | (637), (638), (642), (646), (650), (666), (682),
% 171.41/25.96 | | | | | | | | | | | | | | | | | (698), (714), (715), (731), (732), (748), (749),
% 171.41/25.96 | | | | | | | | | | | | | | | | | (765), (851), (890), (2911), (2913) are
% 171.41/25.96 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #502.
% 171.41/25.96 | | | | | | | | | | | | | | | | |
% 171.41/25.96 | | | | | | | | | | | | | | | | Case 2:
% 171.41/25.96 | | | | | | | | | | | | | | | | |
% 171.41/25.96 | | | | | | | | | | | | | | | | | (2914) all_40_2 = e1
% 171.41/25.96 | | | | | | | | | | | | | | | | | (2915) op(e3, e1) = all_40_1 & $i(all_40_1) & ( ~
% 171.41/25.96 | | | | | | | | | | | | | | | | | (all_40_1 = e0) | ( ~ (all_40_0 = e2) & op(e0,
% 171.41/25.96 | | | | | | | | | | | | | | | | | e3) = all_40_0 & $i(all_40_0)))
% 171.41/25.96 | | | | | | | | | | | | | | | | |
% 171.41/25.96 | | | | | | | | | | | | | | | | | ALPHA: (2915) implies:
% 171.41/25.96 | | | | | | | | | | | | | | | | | (2916) op(e3, e1) = all_40_1
% 171.41/25.96 | | | | | | | | | | | | | | | | |
% 171.41/25.96 | | | | | | | | | | | | | | | | | COMBINE_EQS: (553), (2914) imply:
% 171.41/25.96 | | | | | | | | | | | | | | | | | (2917) all_14_2 = e1
% 171.41/25.96 | | | | | | | | | | | | | | | | |
% 171.41/25.96 | | | | | | | | | | | | | | | | | REDUCE: (593), (2917) imply:
% 171.41/25.96 | | | | | | | | | | | | | | | | | (2918) ~ (all_61_1 = e1)
% 171.41/25.96 | | | | | | | | | | | | | | | | |
% 171.41/25.96 | | | | | | | | | | | | | | | | | REDUCE: (597), (2917) imply:
% 171.41/25.96 | | | | | | | | | | | | | | | | | (2919) ~ (all_61_3 = e1)
% 171.41/25.96 | | | | | | | | | | | | | | | | |
% 171.41/25.96 | | | | | | | | | | | | | | | | | REDUCE: (634), (2917) imply:
% 171.41/25.96 | | | | | | | | | | | | | | | | | (2920) op(e1, e3) = all_65_0
% 171.41/25.96 | | | | | | | | | | | | | | | | |
% 171.41/25.96 | | | | | | | | | | | | | | | | | REDUCE: (635), (2917) imply:
% 171.41/25.96 | | | | | | | | | | | | | | | | | (2921) op(e1, e2) = all_65_1
% 171.41/25.96 | | | | | | | | | | | | | | | | |
% 171.41/25.96 | | | | | | | | | | | | | | | | | REDUCE: (637), (2917) imply:
% 171.41/25.96 | | | | | | | | | | | | | | | | | (2922) op(e1, e0) = all_65_3
% 171.41/25.96 | | | | | | | | | | | | | | | | |
% 171.41/25.96 | | | | | | | | | | | | | | | | | REDUCE: (698), (2917) imply:
% 171.41/25.96 | | | | | | | | | | | | | | | | | (2923) op(e3, e1) = all_65_0
% 171.41/25.96 | | | | | | | | | | | | | | | | |
% 171.41/25.96 | | | | | | | | | | | | | | | | | REDUCE: (715), (2917) imply:
% 171.41/25.96 | | | | | | | | | | | | | | | | | (2924) op(e2, e1) = all_65_16
% 171.41/25.96 | | | | | | | | | | | | | | | | |
% 171.41/25.96 | | | | | | | | | | | | | | | | | REDUCE: (749), (2917) imply:
% 171.41/25.96 | | | | | | | | | | | | | | | | | (2925) op(e0, e1) = all_65_49
% 171.41/25.96 | | | | | | | | | | | | | | | | |
% 171.41/25.96 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_11, all_65_49, e1,
% 171.41/25.96 | | | | | | | | | | | | | | | | | e0, simplifying with (224), (2925) gives:
% 171.41/25.96 | | | | | | | | | | | | | | | | | (2926) all_65_49 = all_61_11
% 171.41/25.96 | | | | | | | | | | | | | | | | |
% 171.41/25.96 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_14, all_65_3, e0,
% 171.41/25.96 | | | | | | | | | | | | | | | | | e1, simplifying with (227), (2922) gives:
% 171.41/25.96 | | | | | | | | | | | | | | | | | (2927) all_65_3 = all_61_14
% 171.41/25.96 | | | | | | | | | | | | | | | | |
% 171.41/25.96 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_6, all_65_1, e2,
% 171.41/25.96 | | | | | | | | | | | | | | | | | e1, simplifying with (229), (2921) gives:
% 171.41/25.96 | | | | | | | | | | | | | | | | | (2928) all_65_1 = all_61_6
% 171.41/25.96 | | | | | | | | | | | | | | | | |
% 171.41/25.96 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_2, all_65_0, e3,
% 171.41/25.96 | | | | | | | | | | | | | | | | | e1, simplifying with (230), (2920) gives:
% 171.41/25.96 | | | | | | | | | | | | | | | | | (2929) all_65_0 = all_61_2
% 171.41/25.96 | | | | | | | | | | | | | | | | |
% 171.41/25.96 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_9, all_65_16, e1,
% 171.41/25.96 | | | | | | | | | | | | | | | | | e2, simplifying with (232), (2924) gives:
% 171.41/25.96 | | | | | | | | | | | | | | | | | (2930) all_65_16 = all_61_9
% 171.41/25.96 | | | | | | | | | | | | | | | | |
% 171.41/25.96 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_8, all_65_0, e1,
% 171.41/25.96 | | | | | | | | | | | | | | | | | e3, simplifying with (236), (2923) gives:
% 171.41/25.96 | | | | | | | | | | | | | | | | | (2931) all_65_0 = all_61_8
% 171.41/25.96 | | | | | | | | | | | | | | | | |
% 171.41/25.96 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_40_1, all_65_0, e1,
% 171.41/25.96 | | | | | | | | | | | | | | | | | e3, simplifying with (2916), (2923) gives:
% 171.41/25.96 | | | | | | | | | | | | | | | | | (2932) all_65_0 = all_40_1
% 171.41/25.96 | | | | | | | | | | | | | | | | |
% 171.41/25.96 | | | | | | | | | | | | | | | | | COMBINE_EQS: (2929), (2932) imply:
% 171.41/25.96 | | | | | | | | | | | | | | | | | (2933) all_61_2 = all_40_1
% 171.41/25.96 | | | | | | | | | | | | | | | | |
% 171.41/25.96 | | | | | | | | | | | | | | | | | SIMP: (2933) implies:
% 171.41/25.96 | | | | | | | | | | | | | | | | | (2934) all_61_2 = all_40_1
% 171.41/25.96 | | | | | | | | | | | | | | | | |
% 171.41/25.96 | | | | | | | | | | | | | | | | | COMBINE_EQS: (2931), (2932) imply:
% 171.41/25.96 | | | | | | | | | | | | | | | | | (2935) all_61_8 = all_40_1
% 171.41/25.96 | | | | | | | | | | | | | | | | |
% 171.41/25.96 | | | | | | | | | | | | | | | | | SIMP: (2935) implies:
% 171.41/25.96 | | | | | | | | | | | | | | | | | (2936) all_61_8 = all_40_1
% 171.41/25.96 | | | | | | | | | | | | | | | | |
% 171.41/25.96 | | | | | | | | | | | | | | | | | COMBINE_EQS: (499), (2934) imply:
% 171.41/25.96 | | | | | | | | | | | | | | | | | (2937) all_63_8 = all_40_1
% 171.41/25.96 | | | | | | | | | | | | | | | | |
% 171.41/25.96 | | | | | | | | | | | | | | | | | REDUCE: (216), (2934) imply:
% 171.41/25.96 | | | | | | | | | | | | | | | | | (2938) ~ (all_61_1 = all_40_1)
% 171.41/25.96 | | | | | | | | | | | | | | | | |
% 171.41/25.96 | | | | | | | | | | | | | | | | | REDUCE: (211), (2934) imply:
% 171.41/25.96 | | | | | | | | | | | | | | | | | (2939) ~ (all_61_3 = all_40_1)
% 171.41/25.96 | | | | | | | | | | | | | | | | |
% 171.41/25.96 | | | | | | | | | | | | | | | | | SIMP: (2939) implies:
% 171.41/25.96 | | | | | | | | | | | | | | | | | (2940) ~ (all_61_3 = all_40_1)
% 171.41/25.96 | | | | | | | | | | | | | | | | |
% 171.41/25.96 | | | | | | | | | | | | | | | | | REDUCE: (201), (2936) imply:
% 171.41/25.96 | | | | | | | | | | | | | | | | | (2941) ~ (all_61_4 = all_40_1)
% 171.41/25.96 | | | | | | | | | | | | | | | | |
% 171.41/25.96 | | | | | | | | | | | | | | | | | REDUCE: (190), (2936) imply:
% 171.41/25.96 | | | | | | | | | | | | | | | | | (2942) ~ (all_61_9 = all_40_1)
% 171.41/25.96 | | | | | | | | | | | | | | | | |
% 171.41/25.96 | | | | | | | | | | | | | | | | | SIMP: (2942) implies:
% 171.41/25.96 | | | | | | | | | | | | | | | | | (2943) ~ (all_61_9 = all_40_1)
% 171.41/25.96 | | | | | | | | | | | | | | | | |
% 171.41/25.96 | | | | | | | | | | | | | | | | | REDUCE: (865), (2936) imply:
% 171.41/25.96 | | | | | | | | | | | | | | | | | (2944) ~ (all_40_1 = e1)
% 171.41/25.96 | | | | | | | | | | | | | | | | |
% 171.41/25.96 | | | | | | | | | | | | | | | | | REDUCE: (230), (2934) imply:
% 171.41/25.96 | | | | | | | | | | | | | | | | | (2945) op(e1, e3) = all_40_1
% 171.41/25.96 | | | | | | | | | | | | | | | | |
% 171.41/25.96 | | | | | | | | | | | | | | | | | BETA: splitting (157) gives:
% 171.41/25.96 | | | | | | | | | | | | | | | | |
% 171.41/25.96 | | | | | | | | | | | | | | | | | Case 1:
% 171.41/25.96 | | | | | | | | | | | | | | | | | |
% 171.41/25.96 | | | | | | | | | | | | | | | | | | (2946) ~ (all_58_3 = e1)
% 171.41/25.96 | | | | | | | | | | | | | | | | | |
% 171.41/25.96 | | | | | | | | | | | | | | | | | | REDUCE: (475), (2946) imply:
% 171.41/25.96 | | | | | | | | | | | | | | | | | | (2947) ~ (all_52_3 = e1)
% 171.41/25.96 | | | | | | | | | | | | | | | | | |
% 171.41/25.96 | | | | | | | | | | | | | | | | | | BETA: splitting (161) gives:
% 171.41/25.96 | | | | | | | | | | | | | | | | | |
% 171.41/25.96 | | | | | | | | | | | | | | | | | | Case 1:
% 171.41/25.96 | | | | | | | | | | | | | | | | | | |
% 171.41/25.96 | | | | | | | | | | | | | | | | | | | (2948) ~ (all_58_2 = e2)
% 171.41/25.96 | | | | | | | | | | | | | | | | | | |
% 171.41/25.96 | | | | | | | | | | | | | | | | | | | REDUCE: (478), (2948) imply:
% 171.41/25.96 | | | | | | | | | | | | | | | | | | | (2949) ~ (all_52_2 = e2)
% 171.41/25.96 | | | | | | | | | | | | | | | | | | |
% 171.41/25.96 | | | | | | | | | | | | | | | | | | | BETA: splitting (164) gives:
% 171.41/25.96 | | | | | | | | | | | | | | | | | | |
% 171.41/25.96 | | | | | | | | | | | | | | | | | | | Case 1:
% 171.41/25.96 | | | | | | | | | | | | | | | | | | | |
% 171.41/25.96 | | | | | | | | | | | | | | | | | | | | (2950) ~ (all_58_1 = e1)
% 171.41/25.96 | | | | | | | | | | | | | | | | | | | |
% 171.41/25.96 | | | | | | | | | | | | | | | | | | | | REDUCE: (481), (2950) imply:
% 171.41/25.96 | | | | | | | | | | | | | | | | | | | | (2951) ~ (all_52_1 = e1)
% 171.41/25.96 | | | | | | | | | | | | | | | | | | | |
% 171.41/25.96 | | | | | | | | | | | | | | | | | | | | BETA: splitting (158) gives:
% 171.41/25.96 | | | | | | | | | | | | | | | | | | | |
% 171.41/25.96 | | | | | | | | | | | | | | | | | | | | Case 1:
% 171.41/25.96 | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.96 | | | | | | | | | | | | | | | | | | | | | (2952) ~ (all_58_3 = e2)
% 171.41/25.96 | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.96 | | | | | | | | | | | | | | | | | | | | | REDUCE: (475), (2952) imply:
% 171.41/25.96 | | | | | | | | | | | | | | | | | | | | | (2953) ~ (all_52_3 = e2)
% 171.41/25.96 | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.96 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (159) gives:
% 171.41/25.96 | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.96 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 171.41/25.96 | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.96 | | | | | | | | | | | | | | | | | | | | | | (2954) ~ (all_58_3 = e3)
% 171.41/25.96 | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.96 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (475), (2954) imply:
% 171.41/25.96 | | | | | | | | | | | | | | | | | | | | | | (2955) ~ (all_52_3 = e3)
% 171.41/25.96 | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.96 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (50), (148), (539), (765), (2471), (2890),
% 171.41/25.96 | | | | | | | | | | | | | | | | | | | | | | (2947), (2953), (2955) are inconsistent by
% 171.41/25.96 | | | | | | | | | | | | | | | | | | | | | | sub-proof #374.
% 171.41/25.96 | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.96 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 171.41/25.96 | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.96 | | | | | | | | | | | | | | | | | | | | | | (2956) all_58_3 = e3
% 171.41/25.96 | | | | | | | | | | | | | | | | | | | | | | (2957) all_58_0 = e0
% 171.41/25.96 | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.96 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (50), (150), (227), (475), (484), (536),
% 171.41/25.96 | | | | | | | | | | | | | | | | | | | | | | (628), (632), (731), (868), (2890), (2951),
% 171.41/25.96 | | | | | | | | | | | | | | | | | | | | | | (2956), (2957) are inconsistent by sub-proof #372.
% 171.41/25.96 | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.96 | | | | | | | | | | | | | | | | | | | | | End of split
% 171.41/25.96 | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.96 | | | | | | | | | | | | | | | | | | | | Case 2:
% 171.41/25.96 | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.96 | | | | | | | | | | | | | | | | | | | | | (2958) all_58_1 = e0
% 171.41/25.96 | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.96 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (481), (2958) imply:
% 171.41/25.96 | | | | | | | | | | | | | | | | | | | | | (2959) all_52_1 = e0
% 171.41/25.96 | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.96 | | | | | | | | | | | | | | | | | | | | | SIMP: (2959) implies:
% 171.41/25.96 | | | | | | | | | | | | | | | | | | | | | (2960) all_52_1 = e0
% 171.41/25.96 | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.96 | | | | | | | | | | | | | | | | | | | | | REDUCE: (731), (2960) imply:
% 171.41/25.96 | | | | | | | | | | | | | | | | | | | | | (2961) op(e2, e0) = unit
% 171.41/25.96 | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.96 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_20_1, unit, e0, e2,
% 171.41/25.96 | | | | | | | | | | | | | | | | | | | | | simplifying with (2515), (2961) gives:
% 171.41/25.96 | | | | | | | | | | | | | | | | | | | | | (2962) all_20_1 = unit
% 171.41/25.96 | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.96 | | | | | | | | | | | | | | | | | | | | | REDUCE: (2497), (2962) imply:
% 171.41/25.96 | | | | | | | | | | | | | | | | | | | | | (2963) ~ (all_61_4 = unit)
% 171.41/25.96 | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.96 | | | | | | | | | | | | | | | | | | | | | REDUCE: (2503), (2962) imply:
% 171.41/25.96 | | | | | | | | | | | | | | | | | | | | | (2964) ~ (unit = e2)
% 171.41/25.96 | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.96 | | | | | | | | | | | | | | | | | | | | | REDUCE: (2885), (2962) imply:
% 171.41/25.96 | | | | | | | | | | | | | | | | | | | | | (2965) ~ (unit = e0)
% 171.41/25.96 | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.96 | | | | | | | | | | | | | | | | | | | | | REDUCE: (2504), (2962) imply:
% 171.41/25.96 | | | | | | | | | | | | | | | | | | | | | (2966) op(unit, e3) = all_65_57
% 171.41/25.96 | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.96 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (852) gives:
% 171.41/25.96 | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.96 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 171.41/25.96 | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.96 | | | | | | | | | | | | | | | | | | | | | | (2967) unit = e2
% 171.41/25.96 | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.96 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2964), (2967) imply:
% 171.41/25.96 | | | | | | | | | | | | | | | | | | | | | | (2968) $false
% 171.41/25.96 | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.96 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2968) is inconsistent.
% 171.41/25.96 | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.96 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 171.41/25.96 | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.96 | | | | | | | | | | | | | | | | | | | | | | (2969) unit = e1 | unit = e0
% 171.41/25.96 | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.96 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2969) gives:
% 171.41/25.96 | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.96 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 171.41/25.96 | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.96 | | | | | | | | | | | | | | | | | | | | | | | (2970) unit = e1
% 171.41/25.96 | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.96 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2963), (2970) imply:
% 171.41/25.96 | | | | | | | | | | | | | | | | | | | | | | | (2971) ~ (all_61_4 = e1)
% 171.41/25.96 | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.96 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2966), (2970) imply:
% 171.41/25.96 | | | | | | | | | | | | | | | | | | | | | | | (2972) op(e1, e3) = all_65_57
% 171.41/25.96 | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.96 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10), (2970) imply:
% 171.41/25.96 | | | | | | | | | | | | | | | | | | | | | | | (2973) op(e1, e3) = e3
% 171.41/25.96 | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.96 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9), (2970) imply:
% 171.41/25.96 | | | | | | | | | | | | | | | | | | | | | | | (2974) op(e1, e2) = e2
% 171.41/25.96 | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.96 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_6, e2, e2, e1,
% 171.41/25.96 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (229), (2974) gives:
% 171.41/25.96 | | | | | | | | | | | | | | | | | | | | | | | (2975) all_61_6 = e2
% 171.41/25.96 | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.96 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_40_1, all_65_57, e3,
% 171.41/25.96 | | | | | | | | | | | | | | | | | | | | | | | e1, simplifying with (2945), (2972) gives:
% 171.41/25.96 | | | | | | | | | | | | | | | | | | | | | | | (2976) all_65_57 = all_40_1
% 171.41/25.96 | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.96 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e3, all_65_57, e3, e1,
% 171.41/25.96 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (2972), (2973) gives:
% 171.41/25.96 | | | | | | | | | | | | | | | | | | | | | | | (2977) all_65_57 = e3
% 171.41/25.96 | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.96 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2976), (2977) imply:
% 171.41/25.96 | | | | | | | | | | | | | | | | | | | | | | | (2978) all_40_1 = e3
% 171.41/25.96 | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.96 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2978) implies:
% 171.41/25.96 | | | | | | | | | | | | | | | | | | | | | | | (2979) all_40_1 = e3
% 171.41/25.96 | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.96 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (203), (2975) imply:
% 171.41/25.96 | | | | | | | | | | | | | | | | | | | | | | | (2980) ~ (all_61_4 = e2)
% 171.41/25.96 | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.96 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2941), (2979) imply:
% 171.41/25.96 | | | | | | | | | | | | | | | | | | | | | | | (2981) ~ (all_61_4 = e3)
% 171.41/25.96 | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.96 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (270), (488), (2882), (2971), (2980), (2981) are
% 171.41/25.96 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #418.
% 171.41/25.96 | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.96 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 171.41/25.96 | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.96 | | | | | | | | | | | | | | | | | | | | | | | (2982) ~ (unit = e1)
% 171.41/25.96 | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.96 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2965), (2969), (2982) are inconsistent by
% 171.41/25.96 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #419.
% 171.41/25.96 | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.96 | | | | | | | | | | | | | | | | | | | | | | End of split
% 171.41/25.96 | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.96 | | | | | | | | | | | | | | | | | | | | | End of split
% 171.41/25.96 | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.97 | | | | | | | | | | | | | | | | | | | | End of split
% 171.41/25.97 | | | | | | | | | | | | | | | | | | | |
% 171.41/25.97 | | | | | | | | | | | | | | | | | | | Case 2:
% 171.41/25.97 | | | | | | | | | | | | | | | | | | | |
% 171.41/25.97 | | | | | | | | | | | | | | | | | | | | (2983) all_58_2 = e2
% 171.41/25.97 | | | | | | | | | | | | | | | | | | | |
% 171.41/25.97 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (478), (2949), (2983) are inconsistent by
% 171.41/25.97 | | | | | | | | | | | | | | | | | | | | sub-proof #433.
% 171.41/25.97 | | | | | | | | | | | | | | | | | | | |
% 171.41/25.97 | | | | | | | | | | | | | | | | | | | End of split
% 171.41/25.97 | | | | | | | | | | | | | | | | | | |
% 171.41/25.97 | | | | | | | | | | | | | | | | | | Case 2:
% 171.41/25.97 | | | | | | | | | | | | | | | | | | |
% 171.41/25.97 | | | | | | | | | | | | | | | | | | | (2984) all_58_1 = e1
% 171.41/25.97 | | | | | | | | | | | | | | | | | | |
% 171.41/25.97 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (481), (2984) imply:
% 171.41/25.97 | | | | | | | | | | | | | | | | | | | (2985) all_52_1 = e1
% 171.41/25.97 | | | | | | | | | | | | | | | | | | |
% 171.41/25.97 | | | | | | | | | | | | | | | | | | | SIMP: (2985) implies:
% 171.41/25.97 | | | | | | | | | | | | | | | | | | | (2986) all_52_1 = e1
% 171.41/25.97 | | | | | | | | | | | | | | | | | | |
% 171.41/25.97 | | | | | | | | | | | | | | | | | | | REDUCE: (731), (2986) imply:
% 171.41/25.97 | | | | | | | | | | | | | | | | | | | (2987) op(e2, e1) = unit
% 171.41/25.97 | | | | | | | | | | | | | | | | | | |
% 171.41/25.97 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_9, unit, e1, e2,
% 171.41/25.97 | | | | | | | | | | | | | | | | | | | simplifying with (232), (2987) gives:
% 171.41/25.97 | | | | | | | | | | | | | | | | | | | (2988) all_61_9 = unit
% 171.41/25.97 | | | | | | | | | | | | | | | | | | |
% 171.41/25.97 | | | | | | | | | | | | | | | | | | | REDUCE: (213), (2988) imply:
% 171.41/25.97 | | | | | | | | | | | | | | | | | | | (2989) ~ (all_61_1 = unit)
% 171.41/25.97 | | | | | | | | | | | | | | | | | | |
% 171.41/25.97 | | | | | | | | | | | | | | | | | | | REDUCE: (2943), (2988) imply:
% 171.41/25.97 | | | | | | | | | | | | | | | | | | | (2990) ~ (all_40_1 = unit)
% 171.41/25.97 | | | | | | | | | | | | | | | | | | |
% 171.41/25.97 | | | | | | | | | | | | | | | | | | | SIMP: (2990) implies:
% 171.41/25.97 | | | | | | | | | | | | | | | | | | | (2991) ~ (all_40_1 = unit)
% 171.41/25.97 | | | | | | | | | | | | | | | | | | |
% 171.41/25.97 | | | | | | | | | | | | | | | | | | | REDUCE: (866), (2988) imply:
% 171.41/25.97 | | | | | | | | | | | | | | | | | | | (2992) ~ (unit = e1)
% 171.41/25.97 | | | | | | | | | | | | | | | | | | |
% 171.41/25.97 | | | | | | | | | | | | | | | | | | | REDUCE: (2884), (2988) imply:
% 171.41/25.97 | | | | | | | | | | | | | | | | | | | (2993) ~ (unit = e0)
% 171.41/25.97 | | | | | | | | | | | | | | | | | | |
% 171.41/25.97 | | | | | | | | | | | | | | | | | | | BETA: splitting (852) gives:
% 171.41/25.97 | | | | | | | | | | | | | | | | | | |
% 171.41/25.97 | | | | | | | | | | | | | | | | | | | Case 1:
% 171.41/25.97 | | | | | | | | | | | | | | | | | | | |
% 171.41/25.97 | | | | | | | | | | | | | | | | | | | | (2994) unit = e2
% 171.41/25.97 | | | | | | | | | | | | | | | | | | | |
% 171.41/25.97 | | | | | | | | | | | | | | | | | | | | REDUCE: (2989), (2994) imply:
% 171.41/25.97 | | | | | | | | | | | | | | | | | | | | (2995) ~ (all_61_1 = e2)
% 171.41/25.97 | | | | | | | | | | | | | | | | | | | |
% 171.41/25.97 | | | | | | | | | | | | | | | | | | | | REDUCE: (2991), (2994) imply:
% 171.41/25.97 | | | | | | | | | | | | | | | | | | | | (2996) ~ (all_40_1 = e2)
% 171.41/25.97 | | | | | | | | | | | | | | | | | | | |
% 171.41/25.97 | | | | | | | | | | | | | | | | | | | | BETA: splitting (267) gives:
% 171.41/25.97 | | | | | | | | | | | | | | | | | | | |
% 171.41/25.97 | | | | | | | | | | | | | | | | | | | | Case 1:
% 171.41/25.97 | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.97 | | | | | | | | | | | | | | | | | | | | | (2997) all_63_4 = e3
% 171.41/25.97 | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.97 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (493), (2997) imply:
% 171.41/25.97 | | | | | | | | | | | | | | | | | | | | | (2998) all_61_1 = e3
% 171.41/25.97 | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.97 | | | | | | | | | | | | | | | | | | | | | REDUCE: (215), (2998) imply:
% 171.41/25.97 | | | | | | | | | | | | | | | | | | | | | (2999) ~ (all_61_3 = e3)
% 171.41/25.97 | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.97 | | | | | | | | | | | | | | | | | | | | | SIMP: (2999) implies:
% 171.41/25.97 | | | | | | | | | | | | | | | | | | | | | (3000) ~ (all_61_3 = e3)
% 171.41/25.97 | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.97 | | | | | | | | | | | | | | | | | | | | | REDUCE: (2938), (2998) imply:
% 171.41/25.97 | | | | | | | | | | | | | | | | | | | | | (3001) ~ (all_40_1 = e3)
% 171.41/25.97 | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.97 | | | | | | | | | | | | | | | | | | | | | SIMP: (3001) implies:
% 171.41/25.97 | | | | | | | | | | | | | | | | | | | | | (3002) ~ (all_40_1 = e3)
% 171.41/25.97 | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.97 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (259) gives:
% 171.41/25.97 | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.97 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 171.41/25.97 | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.97 | | | | | | | | | | | | | | | | | | | | | | (3003) all_63_12 = e3
% 171.41/25.97 | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.97 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (506), (3000), (3003) are inconsistent by
% 171.41/25.97 | | | | | | | | | | | | | | | | | | | | | | sub-proof #423.
% 171.41/25.97 | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.97 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 171.41/25.97 | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.97 | | | | | | | | | | | | | | | | | | | | | | (3004) all_63_12 = e2 | all_63_12 = e1 | all_63_12 = e0
% 171.41/25.97 | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.97 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3004) gives:
% 171.41/25.97 | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.97 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 171.41/25.97 | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.97 | | | | | | | | | | | | | | | | | | | | | | | (3005) all_63_12 = e2
% 171.41/25.97 | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.97 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (506), (2460), (3005) are inconsistent by
% 171.41/25.97 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #371.
% 171.41/25.97 | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.97 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 171.41/25.97 | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.97 | | | | | | | | | | | | | | | | | | | | | | | (3006) all_63_12 = e1 | all_63_12 = e0
% 171.41/25.97 | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.97 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3006) gives:
% 171.41/25.97 | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.97 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 171.41/25.97 | | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.97 | | | | | | | | | | | | | | | | | | | | | | | | (3007) all_63_12 = e1
% 171.41/25.97 | | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.97 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (506), (2919), (3007) are inconsistent by
% 171.41/25.97 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #421.
% 171.41/25.97 | | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.97 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 171.41/25.97 | | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.97 | | | | | | | | | | | | | | | | | | | | | | | | (3008) all_63_12 = e0
% 171.41/25.97 | | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.97 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (506), (3008) imply:
% 171.41/25.97 | | | | | | | | | | | | | | | | | | | | | | | | (3009) all_61_3 = e0
% 171.41/25.97 | | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.97 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3009) implies:
% 171.41/25.97 | | | | | | | | | | | | | | | | | | | | | | | | (3010) all_61_3 = e0
% 171.41/25.97 | | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.97 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2940), (3010) imply:
% 171.41/25.97 | | | | | | | | | | | | | | | | | | | | | | | | (3011) ~ (all_40_1 = e0)
% 171.41/25.97 | | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.97 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3011) implies:
% 171.41/25.97 | | | | | | | | | | | | | | | | | | | | | | | | (3012) ~ (all_40_1 = e0)
% 171.41/25.97 | | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.97 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (263), (2937), (2944), (2996), (3002), (3012) are
% 171.41/25.97 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #432.
% 171.41/25.97 | | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.97 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 171.41/25.97 | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.97 | | | | | | | | | | | | | | | | | | | | | | End of split
% 171.41/25.97 | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.97 | | | | | | | | | | | | | | | | | | | | | End of split
% 171.41/25.97 | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.97 | | | | | | | | | | | | | | | | | | | | Case 2:
% 171.41/25.97 | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.97 | | | | | | | | | | | | | | | | | | | | | (3013) all_63_4 = e2 | all_63_4 = e1 | all_63_4 = e0
% 171.41/25.97 | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.97 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (493), (2881), (2918), (2995), (3013) are
% 171.41/25.97 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #471.
% 171.41/25.97 | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.97 | | | | | | | | | | | | | | | | | | | | End of split
% 171.41/25.97 | | | | | | | | | | | | | | | | | | | |
% 171.41/25.97 | | | | | | | | | | | | | | | | | | | Case 2:
% 171.41/25.97 | | | | | | | | | | | | | | | | | | | |
% 171.41/25.97 | | | | | | | | | | | | | | | | | | | | (3014) unit = e1 | unit = e0
% 171.41/25.97 | | | | | | | | | | | | | | | | | | | |
% 171.41/25.97 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2992), (2993), (3014) are inconsistent by
% 171.41/25.97 | | | | | | | | | | | | | | | | | | | | sub-proof #419.
% 171.41/25.97 | | | | | | | | | | | | | | | | | | | |
% 171.41/25.97 | | | | | | | | | | | | | | | | | | | End of split
% 171.41/25.97 | | | | | | | | | | | | | | | | | | |
% 171.41/25.97 | | | | | | | | | | | | | | | | | | End of split
% 171.41/25.97 | | | | | | | | | | | | | | | | | |
% 171.41/25.97 | | | | | | | | | | | | | | | | | Case 2:
% 171.41/25.97 | | | | | | | | | | | | | | | | | |
% 171.41/25.97 | | | | | | | | | | | | | | | | | | (3015) all_58_3 = e1
% 171.41/25.97 | | | | | | | | | | | | | | | | | | (3016) all_58_2 = e0
% 171.41/25.97 | | | | | | | | | | | | | | | | | |
% 171.41/25.97 | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (50), (224), (227), (475), (478), (680),
% 171.41/25.97 | | | | | | | | | | | | | | | | | | (748), (765), (868), (886), (3015), (3016) are
% 171.41/25.97 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #463.
% 171.41/25.97 | | | | | | | | | | | | | | | | | |
% 171.41/25.97 | | | | | | | | | | | | | | | | | End of split
% 171.41/25.97 | | | | | | | | | | | | | | | | |
% 171.41/25.97 | | | | | | | | | | | | | | | | End of split
% 171.41/25.97 | | | | | | | | | | | | | | | |
% 171.41/25.97 | | | | | | | | | | | | | | | Case 2:
% 171.41/25.97 | | | | | | | | | | | | | | | |
% 171.41/25.97 | | | | | | | | | | | | | | | | (3017) all_36_2 = e0
% 171.41/25.97 | | | | | | | | | | | | | | | | (3018) op(e3, e0) = all_36_1 & $i(all_36_1) & ( ~
% 171.41/25.97 | | | | | | | | | | | | | | | | (all_36_1 = e2) | ( ~ (all_36_0 = e1) & op(e2,
% 171.41/25.97 | | | | | | | | | | | | | | | | e3) = all_36_0 & $i(all_36_0)))
% 171.41/25.97 | | | | | | | | | | | | | | | |
% 171.41/25.97 | | | | | | | | | | | | | | | | ALPHA: (3018) implies:
% 171.41/25.97 | | | | | | | | | | | | | | | | (3019) op(e3, e0) = all_36_1
% 171.41/25.97 | | | | | | | | | | | | | | | |
% 171.41/25.97 | | | | | | | | | | | | | | | | COMBINE_EQS: (557), (3017) imply:
% 171.41/25.97 | | | | | | | | | | | | | | | | (3020) all_14_2 = e0
% 171.41/25.97 | | | | | | | | | | | | | | | |
% 171.41/25.97 | | | | | | | | | | | | | | | | REDUCE: (595), (3020) imply:
% 171.41/25.97 | | | | | | | | | | | | | | | | (3021) ~ (all_61_2 = e0)
% 171.41/25.97 | | | | | | | | | | | | | | | |
% 171.41/25.97 | | | | | | | | | | | | | | | | REDUCE: (601), (3020) imply:
% 171.41/25.97 | | | | | | | | | | | | | | | | (3022) ~ (all_61_8 = e0)
% 171.41/25.97 | | | | | | | | | | | | | | | |
% 171.41/25.97 | | | | | | | | | | | | | | | | REDUCE: (603), (3020) imply:
% 171.41/25.97 | | | | | | | | | | | | | | | | (3023) ~ (all_61_12 = e0)
% 171.41/25.97 | | | | | | | | | | | | | | | |
% 171.41/25.97 | | | | | | | | | | | | | | | | REDUCE: (634), (3020) imply:
% 171.41/25.97 | | | | | | | | | | | | | | | | (3024) op(e0, e3) = all_65_0
% 171.41/25.97 | | | | | | | | | | | | | | | |
% 171.41/25.97 | | | | | | | | | | | | | | | | REDUCE: (698), (3020) imply:
% 171.41/25.97 | | | | | | | | | | | | | | | | (3025) op(e3, e0) = all_65_0
% 171.41/25.97 | | | | | | | | | | | | | | | |
% 171.41/25.97 | | | | | | | | | | | | | | | | REDUCE: (715), (3020) imply:
% 171.41/25.97 | | | | | | | | | | | | | | | | (3026) op(e2, e0) = all_65_16
% 171.41/25.97 | | | | | | | | | | | | | | | |
% 171.41/25.97 | | | | | | | | | | | | | | | | REDUCE: (732), (3020) imply:
% 171.41/25.97 | | | | | | | | | | | | | | | | (3027) op(e1, e0) = all_65_32
% 171.41/25.97 | | | | | | | | | | | | | | | |
% 171.41/25.97 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_3, all_65_0, e3,
% 171.41/25.97 | | | | | | | | | | | | | | | | e0, simplifying with (226), (3024) gives:
% 171.41/25.97 | | | | | | | | | | | | | | | | (3028) all_65_0 = all_61_3
% 171.41/25.97 | | | | | | | | | | | | | | | |
% 171.41/25.97 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_14, all_65_32, e0,
% 171.41/25.97 | | | | | | | | | | | | | | | | e1, simplifying with (227), (3027) gives:
% 171.41/25.97 | | | | | | | | | | | | | | | | (3029) all_65_32 = all_61_14
% 171.41/25.97 | | | | | | | | | | | | | | | |
% 171.41/25.97 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_20_1, all_65_16, e0,
% 171.41/25.97 | | | | | | | | | | | | | | | | e2, simplifying with (2515), (3026) gives:
% 171.41/25.97 | | | | | | | | | | | | | | | | (3030) all_65_16 = all_20_1
% 171.41/25.97 | | | | | | | | | | | | | | | |
% 171.41/25.97 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_12, all_65_0, e0,
% 171.41/25.97 | | | | | | | | | | | | | | | | e3, simplifying with (235), (3025) gives:
% 171.41/25.97 | | | | | | | | | | | | | | | | (3031) all_65_0 = all_61_12
% 171.41/25.97 | | | | | | | | | | | | | | | |
% 171.41/25.97 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_36_1, all_65_0, e0,
% 171.41/25.97 | | | | | | | | | | | | | | | | e3, simplifying with (3019), (3025) gives:
% 171.41/25.97 | | | | | | | | | | | | | | | | (3032) all_65_0 = all_36_1
% 171.41/25.97 | | | | | | | | | | | | | | | |
% 171.41/25.97 | | | | | | | | | | | | | | | | COMBINE_EQS: (3028), (3032) imply:
% 171.41/25.97 | | | | | | | | | | | | | | | | (3033) all_61_3 = all_36_1
% 171.41/25.97 | | | | | | | | | | | | | | | |
% 171.41/25.97 | | | | | | | | | | | | | | | | SIMP: (3033) implies:
% 171.41/25.97 | | | | | | | | | | | | | | | | (3034) all_61_3 = all_36_1
% 171.41/25.97 | | | | | | | | | | | | | | | |
% 171.41/25.97 | | | | | | | | | | | | | | | | COMBINE_EQS: (3031), (3032) imply:
% 171.41/25.97 | | | | | | | | | | | | | | | | (3035) all_61_12 = all_36_1
% 171.41/25.97 | | | | | | | | | | | | | | | |
% 171.41/25.97 | | | | | | | | | | | | | | | | SIMP: (3035) implies:
% 171.41/25.97 | | | | | | | | | | | | | | | | (3036) all_61_12 = all_36_1
% 171.41/25.97 | | | | | | | | | | | | | | | |
% 171.41/25.97 | | | | | | | | | | | | | | | | COMBINE_EQS: (491), (3036) imply:
% 171.41/25.97 | | | | | | | | | | | | | | | | (3037) all_63_3 = all_36_1
% 171.41/25.97 | | | | | | | | | | | | | | | |
% 171.41/25.97 | | | | | | | | | | | | | | | | REDUCE: (215), (3034) imply:
% 171.41/25.97 | | | | | | | | | | | | | | | | (3038) ~ (all_61_1 = all_36_1)
% 171.41/25.97 | | | | | | | | | | | | | | | |
% 171.41/25.97 | | | | | | | | | | | | | | | | REDUCE: (211), (3034) imply:
% 171.41/25.97 | | | | | | | | | | | | | | | | (3039) ~ (all_61_2 = all_36_1)
% 171.41/25.97 | | | | | | | | | | | | | | | |
% 171.41/25.97 | | | | | | | | | | | | | | | | REDUCE: (187), (3036) imply:
% 171.41/25.97 | | | | | | | | | | | | | | | | (3040) ~ (all_61_8 = all_36_1)
% 171.41/25.97 | | | | | | | | | | | | | | | |
% 171.41/25.97 | | | | | | | | | | | | | | | | REDUCE: (2499), (3036) imply:
% 171.41/25.97 | | | | | | | | | | | | | | | | (3041) ~ (all_36_1 = all_20_1)
% 171.41/25.97 | | | | | | | | | | | | | | | |
% 171.41/25.97 | | | | | | | | | | | | | | | | REDUCE: (2461), (3036) imply:
% 171.41/25.97 | | | | | | | | | | | | | | | | (3042) ~ (all_36_1 = e2)
% 171.41/25.97 | | | | | | | | | | | | | | | |
% 171.41/25.97 | | | | | | | | | | | | | | | | REDUCE: (3023), (3036) imply:
% 171.41/25.97 | | | | | | | | | | | | | | | | (3043) ~ (all_36_1 = e0)
% 171.41/25.97 | | | | | | | | | | | | | | | |
% 171.41/25.97 | | | | | | | | | | | | | | | | REDUCE: (685), (3034) imply:
% 171.41/25.97 | | | | | | | | | | | | | | | | (3044) op(all_36_1, e0) = all_65_55
% 171.41/25.97 | | | | | | | | | | | | | | | |
% 171.41/25.97 | | | | | | | | | | | | | | | | REDUCE: (2908), (3036) imply:
% 171.41/25.97 | | | | | | | | | | | | | | | | (3045) op(all_61_4, e2) = all_36_1
% 171.41/25.97 | | | | | | | | | | | | | | | |
% 171.41/25.97 | | | | | | | | | | | | | | | | REDUCE: (2508), (3036) imply:
% 171.41/25.97 | | | | | | | | | | | | | | | | (3046) op(all_36_1, e0) = all_61_4
% 171.41/25.97 | | | | | | | | | | | | | | | |
% 171.41/25.97 | | | | | | | | | | | | | | | | REDUCE: (2518), (3034) imply:
% 171.41/25.97 | | | | | | | | | | | | | | | | (3047) op(e0, all_36_1) = all_61_1
% 171.41/25.97 | | | | | | | | | | | | | | | |
% 171.41/25.97 | | | | | | | | | | | | | | | | REDUCE: (752), (3036) imply:
% 171.41/25.97 | | | | | | | | | | | | | | | | (3048) op(e0, all_36_1) = all_65_55
% 171.41/25.97 | | | | | | | | | | | | | | | |
% 171.41/25.97 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_1, all_65_55,
% 171.41/25.97 | | | | | | | | | | | | | | | | all_36_1, e0, simplifying with (3047), (3048)
% 171.41/25.97 | | | | | | | | | | | | | | | | gives:
% 171.41/25.97 | | | | | | | | | | | | | | | | (3049) all_65_55 = all_61_1
% 171.41/25.97 | | | | | | | | | | | | | | | |
% 171.41/25.97 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_4, all_65_55, e0,
% 171.41/25.97 | | | | | | | | | | | | | | | | all_36_1, simplifying with (3044), (3046) gives:
% 171.41/25.97 | | | | | | | | | | | | | | | | (3050) all_65_55 = all_61_4
% 171.41/25.97 | | | | | | | | | | | | | | | |
% 171.41/25.97 | | | | | | | | | | | | | | | | COMBINE_EQS: (3049), (3050) imply:
% 171.41/25.97 | | | | | | | | | | | | | | | | (3051) all_61_1 = all_61_4
% 171.41/25.97 | | | | | | | | | | | | | | | |
% 171.41/25.97 | | | | | | | | | | | | | | | | SIMP: (3051) implies:
% 171.41/25.97 | | | | | | | | | | | | | | | | (3052) all_61_1 = all_61_4
% 171.41/25.97 | | | | | | | | | | | | | | | |
% 171.41/25.97 | | | | | | | | | | | | | | | | REDUCE: (216), (3052) imply:
% 171.41/25.97 | | | | | | | | | | | | | | | | (3053) ~ (all_61_2 = all_61_4)
% 171.41/25.97 | | | | | | | | | | | | | | | |
% 171.41/25.97 | | | | | | | | | | | | | | | | SIMP: (3053) implies:
% 171.41/25.97 | | | | | | | | | | | | | | | | (3054) ~ (all_61_2 = all_61_4)
% 171.41/25.97 | | | | | | | | | | | | | | | |
% 171.41/25.97 | | | | | | | | | | | | | | | | REDUCE: (213), (3052) imply:
% 171.41/25.97 | | | | | | | | | | | | | | | | (3055) ~ (all_61_4 = all_61_9)
% 171.41/25.97 | | | | | | | | | | | | | | | |
% 171.41/25.97 | | | | | | | | | | | | | | | | REDUCE: (3038), (3052) imply:
% 171.41/25.97 | | | | | | | | | | | | | | | | (3056) ~ (all_61_4 = all_36_1)
% 171.41/25.97 | | | | | | | | | | | | | | | |
% 171.41/25.97 | | | | | | | | | | | | | | | | REDUCE: (651), (3052) imply:
% 171.41/25.97 | | | | | | | | | | | | | | | | (3057) op(all_61_4, e2) = all_65_17
% 171.41/25.97 | | | | | | | | | | | | | | | |
% 171.41/25.97 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_36_1, all_65_17, e2,
% 171.41/25.97 | | | | | | | | | | | | | | | | all_61_4, simplifying with (3045), (3057) gives:
% 171.41/25.97 | | | | | | | | | | | | | | | | (3058) all_65_17 = all_36_1
% 171.41/25.97 | | | | | | | | | | | | | | | |
% 171.41/25.97 | | | | | | | | | | | | | | | | BETA: splitting (161) gives:
% 171.41/25.97 | | | | | | | | | | | | | | | |
% 171.41/25.97 | | | | | | | | | | | | | | | | Case 1:
% 171.41/25.97 | | | | | | | | | | | | | | | | |
% 171.41/25.97 | | | | | | | | | | | | | | | | | (3059) ~ (all_58_2 = e2)
% 171.41/25.97 | | | | | | | | | | | | | | | | |
% 171.41/25.97 | | | | | | | | | | | | | | | | | REDUCE: (478), (3059) imply:
% 171.41/25.97 | | | | | | | | | | | | | | | | | (3060) ~ (all_52_2 = e2)
% 171.41/25.97 | | | | | | | | | | | | | | | | |
% 171.41/25.97 | | | | | | | | | | | | | | | | | BETA: splitting (164) gives:
% 171.41/25.97 | | | | | | | | | | | | | | | | |
% 171.41/25.97 | | | | | | | | | | | | | | | | | Case 1:
% 171.41/25.97 | | | | | | | | | | | | | | | | | |
% 171.41/25.97 | | | | | | | | | | | | | | | | | | (3061) ~ (all_58_1 = e1)
% 171.41/25.97 | | | | | | | | | | | | | | | | | |
% 171.41/25.97 | | | | | | | | | | | | | | | | | | REDUCE: (481), (3061) imply:
% 171.41/25.97 | | | | | | | | | | | | | | | | | | (3062) ~ (all_52_1 = e1)
% 171.41/25.97 | | | | | | | | | | | | | | | | | |
% 171.41/25.97 | | | | | | | | | | | | | | | | | | BETA: splitting (163) gives:
% 171.41/25.97 | | | | | | | | | | | | | | | | | |
% 171.41/25.97 | | | | | | | | | | | | | | | | | | Case 1:
% 171.41/25.97 | | | | | | | | | | | | | | | | | | |
% 171.41/25.97 | | | | | | | | | | | | | | | | | | | (3063) ~ (all_58_1 = e0)
% 171.41/25.97 | | | | | | | | | | | | | | | | | | |
% 171.41/25.97 | | | | | | | | | | | | | | | | | | | REDUCE: (481), (3063) imply:
% 171.41/25.97 | | | | | | | | | | | | | | | | | | | (3064) ~ (all_52_1 = e0)
% 171.41/25.97 | | | | | | | | | | | | | | | | | | |
% 171.41/25.97 | | | | | | | | | | | | | | | | | | | BETA: splitting (165) gives:
% 171.41/25.97 | | | | | | | | | | | | | | | | | | |
% 171.41/25.97 | | | | | | | | | | | | | | | | | | | Case 1:
% 171.41/25.97 | | | | | | | | | | | | | | | | | | | |
% 171.41/25.97 | | | | | | | | | | | | | | | | | | | | (3065) ~ (all_58_1 = e3)
% 171.41/25.97 | | | | | | | | | | | | | | | | | | | |
% 171.41/25.97 | | | | | | | | | | | | | | | | | | | | REDUCE: (481), (3065) imply:
% 171.41/25.97 | | | | | | | | | | | | | | | | | | | | (3066) ~ (all_52_1 = e3)
% 171.41/25.97 | | | | | | | | | | | | | | | | | | | |
% 171.41/25.97 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (50), (150), (227), (536), (731), (868),
% 171.41/25.97 | | | | | | | | | | | | | | | | | | | | (2890), (3062), (3064), (3066) are inconsistent by
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | | sub-proof #373.
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | |
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | Case 2:
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | |
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | | (3067) all_58_0 = e2
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | |
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (484), (3067) imply:
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | | (3068) all_52_0 = e2
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | |
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | | SIMP: (3068) implies:
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | | (3069) all_52_0 = e2
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | |
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | | REDUCE: (714), (3069) imply:
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | | (3070) op(e3, e2) = unit
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | |
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_4, unit, e2, e3,
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | | simplifying with (237), (3070) gives:
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | | (3071) all_61_4 = unit
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | |
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | | REDUCE: (3045), (3071) imply:
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | | (3072) op(unit, e2) = all_36_1
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | |
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e2, all_36_1, e2, unit,
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | | simplifying with (9), (3072) gives:
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | | (3073) all_36_1 = e2
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | |
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | | REDUCE: (3042), (3073) imply:
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | | (3074) $false
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | |
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | | CLOSE: (3074) is inconsistent.
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | |
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | End of split
% 171.41/25.98 | | | | | | | | | | | | | | | | | | |
% 171.41/25.98 | | | | | | | | | | | | | | | | | | Case 2:
% 171.41/25.98 | | | | | | | | | | | | | | | | | | |
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | (3075) all_58_1 = e0
% 171.41/25.98 | | | | | | | | | | | | | | | | | | |
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (481), (3075) imply:
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | (3076) all_52_1 = e0
% 171.41/25.98 | | | | | | | | | | | | | | | | | | |
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | SIMP: (3076) implies:
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | (3077) all_52_1 = e0
% 171.41/25.98 | | | | | | | | | | | | | | | | | | |
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | REDUCE: (731), (3077) imply:
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | (3078) op(e2, e0) = unit
% 171.41/25.98 | | | | | | | | | | | | | | | | | | |
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_20_1, unit, e0, e2,
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | simplifying with (2515), (3078) gives:
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | (3079) all_20_1 = unit
% 171.41/25.98 | | | | | | | | | | | | | | | | | | |
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2495), (3079) imply:
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | (3080) all_63_13 = unit
% 171.41/25.98 | | | | | | | | | | | | | | | | | | |
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | REDUCE: (2497), (3079) imply:
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | (3081) ~ (all_61_4 = unit)
% 171.41/25.98 | | | | | | | | | | | | | | | | | | |
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | REDUCE: (3041), (3079) imply:
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | (3082) ~ (all_36_1 = unit)
% 171.41/25.98 | | | | | | | | | | | | | | | | | | |
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | REDUCE: (2503), (3079) imply:
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | (3083) ~ (unit = e2)
% 171.41/25.98 | | | | | | | | | | | | | | | | | | |
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | REDUCE: (2885), (3079) imply:
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | (3084) ~ (unit = e0)
% 171.41/25.98 | | | | | | | | | | | | | | | | | | |
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | BETA: splitting (258) gives:
% 171.41/25.98 | | | | | | | | | | | | | | | | | | |
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | Case 1:
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | |
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | | (3085) all_63_13 = e3
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | |
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3080), (3085) imply:
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | | (3086) unit = e3
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | |
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | | REDUCE: (851), (3086) imply:
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | | (3087) $false
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | |
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | | CLOSE: (3087) is inconsistent.
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | |
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | Case 2:
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | |
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | | (3088) all_63_13 = e2 | all_63_13 = e1 | all_63_13 = e0
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | |
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | | BETA: splitting (3088) gives:
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | |
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | | Case 1:
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | | | (3089) all_63_13 = e2
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3080), (3089) imply:
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | | | (3090) unit = e2
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | | | REDUCE: (3083), (3090) imply:
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | | | (3091) $false
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | | | CLOSE: (3091) is inconsistent.
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | | Case 2:
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | | | (3092) all_63_13 = e1 | all_63_13 = e0
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3092) gives:
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | | | | (3093) all_63_13 = e1
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3080), (3093) imply:
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | | | | (3094) unit = e1
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3081), (3094) imply:
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | | | | (3095) ~ (all_61_4 = e1)
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3082), (3094) imply:
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | | | | (3096) ~ (all_36_1 = e1)
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (268) gives:
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | | | | | (3097) all_63_3 = e3
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3037), (3097) imply:
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | | | | | (3098) all_36_1 = e3
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3039), (3098) imply:
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | | | | | (3099) ~ (all_61_2 = e3)
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3056), (3098) imply:
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | | | | | (3100) ~ (all_61_4 = e3)
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (263) gives:
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | | | | | | (3101) all_63_8 = e3
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (499), (3101) imply:
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | | | | | | (3102) all_61_2 = e3
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3099), (3102) imply:
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | | | | | | (3103) $false
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3103) is inconsistent.
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | | | | | | (3104) all_63_8 = e2 | all_63_8 = e1 | all_63_8 = e0
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3104) gives:
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | (3105) all_63_8 = e2
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (499), (3105) imply:
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | (3106) all_61_2 = e2
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3054), (3106) imply:
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | (3107) ~ (all_61_4 = e2)
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3107) implies:
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | (3108) ~ (all_61_4 = e2)
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (270), (488), (2882), (3095), (3100), (3108) are
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #418.
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | (3109) all_63_8 = e1 | all_63_8 = e0
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (499), (863), (3021), (3109) are inconsistent by
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #387.
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | | | | | (3110) all_63_3 = e2 | all_63_3 = e1 | all_63_3 = e0
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3037), (3042), (3043), (3096), (3110) are
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #447.
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | | | | End of split
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | | | | (3111) all_63_13 = e0
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3080), (3111) imply:
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | | | | (3112) unit = e0
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3084), (3112) imply:
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | | | | (3113) $false
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3113) is inconsistent.
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | | | End of split
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | | End of split
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | |
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | End of split
% 171.41/25.98 | | | | | | | | | | | | | | | | | | |
% 171.41/25.98 | | | | | | | | | | | | | | | | | | End of split
% 171.41/25.98 | | | | | | | | | | | | | | | | | |
% 171.41/25.98 | | | | | | | | | | | | | | | | | Case 2:
% 171.41/25.98 | | | | | | | | | | | | | | | | | |
% 171.41/25.98 | | | | | | | | | | | | | | | | | | (3114) all_58_2 = e2
% 171.41/25.98 | | | | | | | | | | | | | | | | | |
% 171.41/25.98 | | | | | | | | | | | | | | | | | | REF_CLOSE: (478), (3060), (3114) are inconsistent by
% 171.41/25.98 | | | | | | | | | | | | | | | | | | sub-proof #433.
% 171.41/25.98 | | | | | | | | | | | | | | | | | |
% 171.41/25.98 | | | | | | | | | | | | | | | | | End of split
% 171.41/25.98 | | | | | | | | | | | | | | | | |
% 171.41/25.98 | | | | | | | | | | | | | | | | Case 2:
% 171.41/25.98 | | | | | | | | | | | | | | | | |
% 171.41/25.98 | | | | | | | | | | | | | | | | | (3115) all_58_2 = e2
% 171.41/25.98 | | | | | | | | | | | | | | | | | (3116) all_58_1 = e1
% 171.41/25.98 | | | | | | | | | | | | | | | | |
% 171.41/25.98 | | | | | | | | | | | | | | | | | COMBINE_EQS: (481), (3116) imply:
% 171.41/25.98 | | | | | | | | | | | | | | | | | (3117) all_52_1 = e1
% 171.41/25.98 | | | | | | | | | | | | | | | | |
% 171.41/25.98 | | | | | | | | | | | | | | | | | SIMP: (3117) implies:
% 171.41/25.98 | | | | | | | | | | | | | | | | | (3118) all_52_1 = e1
% 171.41/25.98 | | | | | | | | | | | | | | | | |
% 171.41/25.98 | | | | | | | | | | | | | | | | | COMBINE_EQS: (478), (3115) imply:
% 171.41/25.98 | | | | | | | | | | | | | | | | | (3119) all_52_2 = e2
% 171.41/25.98 | | | | | | | | | | | | | | | | |
% 171.41/25.98 | | | | | | | | | | | | | | | | | SIMP: (3119) implies:
% 171.41/25.98 | | | | | | | | | | | | | | | | | (3120) all_52_2 = e2
% 171.41/25.98 | | | | | | | | | | | | | | | | |
% 171.41/25.98 | | | | | | | | | | | | | | | | | REDUCE: (731), (3118) imply:
% 171.41/25.98 | | | | | | | | | | | | | | | | | (3121) op(e2, e1) = unit
% 171.41/25.98 | | | | | | | | | | | | | | | | |
% 171.41/25.98 | | | | | | | | | | | | | | | | | REDUCE: (748), (3120) imply:
% 171.41/25.98 | | | | | | | | | | | | | | | | | (3122) op(e1, e2) = unit
% 171.41/25.98 | | | | | | | | | | | | | | | | |
% 171.41/25.98 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_6, unit, e2, e1,
% 171.41/25.98 | | | | | | | | | | | | | | | | | simplifying with (229), (3122) gives:
% 171.41/25.98 | | | | | | | | | | | | | | | | | (3123) all_61_6 = unit
% 171.41/25.98 | | | | | | | | | | | | | | | | |
% 171.41/25.98 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_9, unit, e1, e2,
% 171.41/25.98 | | | | | | | | | | | | | | | | | simplifying with (232), (3121) gives:
% 171.41/25.98 | | | | | | | | | | | | | | | | | (3124) all_61_9 = unit
% 171.41/25.98 | | | | | | | | | | | | | | | | |
% 171.41/25.98 | | | | | | | | | | | | | | | | | COMBINE_EQS: (501), (3123) imply:
% 171.41/25.98 | | | | | | | | | | | | | | | | | (3125) all_63_9 = unit
% 171.41/25.98 | | | | | | | | | | | | | | | | |
% 171.41/25.98 | | | | | | | | | | | | | | | | | REDUCE: (3055), (3124) imply:
% 171.41/25.98 | | | | | | | | | | | | | | | | | (3126) ~ (all_61_4 = unit)
% 171.41/25.98 | | | | | | | | | | | | | | | | |
% 171.41/25.98 | | | | | | | | | | | | | | | | | REDUCE: (190), (3124) imply:
% 171.41/25.98 | | | | | | | | | | | | | | | | | (3127) ~ (all_61_8 = unit)
% 171.41/25.98 | | | | | | | | | | | | | | | | |
% 171.41/25.98 | | | | | | | | | | | | | | | | | BETA: splitting (262) gives:
% 171.41/25.98 | | | | | | | | | | | | | | | | |
% 171.41/25.98 | | | | | | | | | | | | | | | | | Case 1:
% 171.41/25.98 | | | | | | | | | | | | | | | | | |
% 171.41/25.98 | | | | | | | | | | | | | | | | | | (3128) all_63_9 = e3
% 171.41/25.98 | | | | | | | | | | | | | | | | | |
% 171.41/25.98 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3125), (3128) imply:
% 171.41/25.98 | | | | | | | | | | | | | | | | | | (3129) unit = e3
% 171.41/25.98 | | | | | | | | | | | | | | | | | |
% 171.41/25.98 | | | | | | | | | | | | | | | | | | REDUCE: (851), (3129) imply:
% 171.41/25.98 | | | | | | | | | | | | | | | | | | (3130) $false
% 171.41/25.98 | | | | | | | | | | | | | | | | | |
% 171.41/25.98 | | | | | | | | | | | | | | | | | | CLOSE: (3130) is inconsistent.
% 171.41/25.98 | | | | | | | | | | | | | | | | | |
% 171.41/25.98 | | | | | | | | | | | | | | | | | Case 2:
% 171.41/25.98 | | | | | | | | | | | | | | | | | |
% 171.41/25.98 | | | | | | | | | | | | | | | | | | (3131) all_63_9 = e2 | all_63_9 = e1 | all_63_9 = e0
% 171.41/25.98 | | | | | | | | | | | | | | | | | |
% 171.41/25.98 | | | | | | | | | | | | | | | | | | BETA: splitting (3131) gives:
% 171.41/25.98 | | | | | | | | | | | | | | | | | |
% 171.41/25.98 | | | | | | | | | | | | | | | | | | Case 1:
% 171.41/25.98 | | | | | | | | | | | | | | | | | | |
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | (3132) all_63_9 = e2
% 171.41/25.98 | | | | | | | | | | | | | | | | | | |
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3125), (3132) imply:
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | (3133) unit = e2
% 171.41/25.98 | | | | | | | | | | | | | | | | | | |
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | REDUCE: (3126), (3133) imply:
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | (3134) ~ (all_61_4 = e2)
% 171.41/25.98 | | | | | | | | | | | | | | | | | | |
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | REDUCE: (3127), (3133) imply:
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | (3135) ~ (all_61_8 = e2)
% 171.41/25.98 | | | | | | | | | | | | | | | | | | |
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | BETA: splitting (269) gives:
% 171.41/25.98 | | | | | | | | | | | | | | | | | | |
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | Case 1:
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | |
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | | (3136) all_63_2 = e3
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | |
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (489), (3136) imply:
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | | (3137) all_61_8 = e3
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | |
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | | REDUCE: (201), (3137) imply:
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | | (3138) ~ (all_61_4 = e3)
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | |
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | | REDUCE: (3040), (3137) imply:
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | | (3139) ~ (all_36_1 = e3)
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | |
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | | SIMP: (3139) implies:
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | | (3140) ~ (all_36_1 = e3)
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | |
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | | BETA: splitting (268) gives:
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | |
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | | Case 1:
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | | | (3141) all_63_3 = e3
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3037), (3140), (3141) are inconsistent by
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | | | sub-proof #370.
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | | Case 2:
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | | | (3142) all_63_3 = e2 | all_63_3 = e1 | all_63_3 = e0
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3142) gives:
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | | | | (3143) all_63_3 = e2
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3037), (3042), (3143) are inconsistent by
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | | | | sub-proof #369.
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | | | | (3144) all_63_3 = e1 | all_63_3 = e0
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3144) gives:
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | | | | | (3145) all_63_3 = e1
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3037), (3145) imply:
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | | | | | (3146) all_36_1 = e1
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3146) implies:
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | | | | | (3147) all_36_1 = e1
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3056), (3147) imply:
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | | | | | (3148) ~ (all_61_4 = e1)
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (270), (488), (2882), (3134), (3138), (3148) are
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #418.
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | | | | | (3149) all_63_3 = e0
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3037), (3043), (3149) are inconsistent by
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #368.
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | | | | End of split
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | | | End of split
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | | |
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | | End of split
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | |
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | Case 2:
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | |
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | | (3150) all_63_2 = e2 | all_63_2 = e1 | all_63_2 = e0
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | |
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (489), (865), (3022), (3135), (3150) are
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #401.
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | |
% 171.41/25.98 | | | | | | | | | | | | | | | | | | | End of split
% 171.41/25.98 | | | | | | | | | | | | | | | | | | |
% 171.41/25.99 | | | | | | | | | | | | | | | | | | Case 2:
% 171.41/25.99 | | | | | | | | | | | | | | | | | | |
% 171.41/25.99 | | | | | | | | | | | | | | | | | | | (3151) all_63_9 = e1 | all_63_9 = e0
% 171.41/25.99 | | | | | | | | | | | | | | | | | | |
% 171.41/25.99 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (501), (864), (2883), (3151) are inconsistent by
% 171.41/25.99 | | | | | | | | | | | | | | | | | | | sub-proof #367.
% 171.41/25.99 | | | | | | | | | | | | | | | | | | |
% 171.41/25.99 | | | | | | | | | | | | | | | | | | End of split
% 171.41/25.99 | | | | | | | | | | | | | | | | | |
% 171.41/25.99 | | | | | | | | | | | | | | | | | End of split
% 171.41/25.99 | | | | | | | | | | | | | | | | |
% 171.41/25.99 | | | | | | | | | | | | | | | | End of split
% 171.41/25.99 | | | | | | | | | | | | | | | |
% 171.41/25.99 | | | | | | | | | | | | | | | End of split
% 171.41/25.99 | | | | | | | | | | | | | | |
% 171.41/25.99 | | | | | | | | | | | | | | End of split
% 171.41/25.99 | | | | | | | | | | | | | |
% 171.72/25.99 | | | | | | | | | | | | | End of split
% 171.72/25.99 | | | | | | | | | | | | |
% 171.72/25.99 | | | | | | | | | | | | End of split
% 171.72/25.99 | | | | | | | | | | | |
% 171.72/25.99 | | | | | | | | | | | End of split
% 171.72/25.99 | | | | | | | | | | |
% 171.72/25.99 | | | | | | | | | | Case 2:
% 171.72/25.99 | | | | | | | | | | |
% 171.72/25.99 | | | | | | | | | | | (3152) all_14_2 = e2
% 171.72/25.99 | | | | | | | | | | | (3153) op(e3, e2) = all_14_1 & $i(all_14_1) & ( ~
% 171.72/25.99 | | | | | | | | | | | (all_14_1 = e0) | ( ~ (all_14_0 = e1) & op(e0,
% 171.72/25.99 | | | | | | | | | | | e3) = all_14_0 & $i(all_14_0)))
% 171.72/25.99 | | | | | | | | | | |
% 171.72/25.99 | | | | | | | | | | | ALPHA: (3153) implies:
% 171.72/25.99 | | | | | | | | | | | (3154) op(e3, e2) = all_14_1
% 171.72/25.99 | | | | | | | | | | |
% 171.72/25.99 | | | | | | | | | | | COMBINE_EQS: (561), (3152) imply:
% 171.72/25.99 | | | | | | | | | | | (3155) all_26_2 = e2
% 171.72/25.99 | | | | | | | | | | |
% 171.72/25.99 | | | | | | | | | | | REDUCE: (595), (3152) imply:
% 171.72/25.99 | | | | | | | | | | | (3156) ~ (all_61_2 = e2)
% 171.72/25.99 | | | | | | | | | | |
% 171.72/25.99 | | | | | | | | | | | REDUCE: (597), (3152) imply:
% 171.72/25.99 | | | | | | | | | | | (3157) ~ (all_61_3 = e2)
% 171.72/25.99 | | | | | | | | | | |
% 171.72/25.99 | | | | | | | | | | | REDUCE: (599), (3152) imply:
% 171.72/25.99 | | | | | | | | | | | (3158) ~ (all_61_4 = e2)
% 171.72/25.99 | | | | | | | | | | |
% 171.72/25.99 | | | | | | | | | | | REDUCE: (601), (3152) imply:
% 171.72/25.99 | | | | | | | | | | | (3159) ~ (all_61_8 = e2)
% 171.72/25.99 | | | | | | | | | | |
% 171.72/25.99 | | | | | | | | | | | REDUCE: (603), (3152) imply:
% 171.72/25.99 | | | | | | | | | | | (3160) ~ (all_61_12 = e2)
% 171.72/25.99 | | | | | | | | | | |
% 171.72/25.99 | | | | | | | | | | | REDUCE: (634), (3152) imply:
% 171.72/25.99 | | | | | | | | | | | (3161) op(e2, e3) = all_65_0
% 171.72/25.99 | | | | | | | | | | |
% 171.72/25.99 | | | | | | | | | | | REDUCE: (635), (3152) imply:
% 171.72/25.99 | | | | | | | | | | | (3162) op(e2, e2) = all_65_1
% 171.72/25.99 | | | | | | | | | | |
% 171.72/25.99 | | | | | | | | | | | REDUCE: (636), (3152) imply:
% 171.72/25.99 | | | | | | | | | | | (3163) op(e2, e1) = all_65_2
% 171.72/25.99 | | | | | | | | | | |
% 171.72/25.99 | | | | | | | | | | | REDUCE: (637), (3152) imply:
% 171.72/25.99 | | | | | | | | | | | (3164) op(e2, e0) = all_65_3
% 171.72/25.99 | | | | | | | | | | |
% 171.72/25.99 | | | | | | | | | | | REDUCE: (698), (3152) imply:
% 171.72/25.99 | | | | | | | | | | | (3165) op(e3, e2) = all_65_0
% 171.72/25.99 | | | | | | | | | | |
% 171.72/25.99 | | | | | | | | | | | REDUCE: (67), (3152) imply:
% 171.72/25.99 | | | | | | | | | | | (3166) op(e3, e3) = e2
% 171.72/25.99 | | | | | | | | | | |
% 171.72/25.99 | | | | | | | | | | | REDUCE: (715), (3152) imply:
% 171.72/25.99 | | | | | | | | | | | (3167) op(e2, e2) = all_65_16
% 171.72/25.99 | | | | | | | | | | |
% 171.72/25.99 | | | | | | | | | | | REDUCE: (732), (3152) imply:
% 171.72/25.99 | | | | | | | | | | | (3168) op(e1, e2) = all_65_32
% 171.72/25.99 | | | | | | | | | | |
% 171.72/25.99 | | | | | | | | | | | REDUCE: (749), (3152) imply:
% 171.72/25.99 | | | | | | | | | | | (3169) op(e0, e2) = all_65_49
% 171.72/25.99 | | | | | | | | | | |
% 171.72/25.99 | | | | | | | | | | | BETA: splitting (86) gives:
% 171.72/25.99 | | | | | | | | | | |
% 171.72/25.99 | | | | | | | | | | | Case 1:
% 171.72/25.99 | | | | | | | | | | | |
% 171.72/25.99 | | | | | | | | | | | | (3170) ~ (all_26_2 = e2)
% 171.72/25.99 | | | | | | | | | | | |
% 171.72/25.99 | | | | | | | | | | | | REDUCE: (3155), (3170) imply:
% 171.72/25.99 | | | | | | | | | | | | (3171) $false
% 171.72/25.99 | | | | | | | | | | | |
% 171.72/25.99 | | | | | | | | | | | | CLOSE: (3171) is inconsistent.
% 171.72/25.99 | | | | | | | | | | | |
% 171.72/25.99 | | | | | | | | | | | Case 2:
% 171.72/25.99 | | | | | | | | | | | |
% 171.72/25.99 | | | | | | | | | | | | (3172) op(e3, e2) = all_26_1 & $i(all_26_1) & ( ~
% 171.72/25.99 | | | | | | | | | | | | (all_26_1 = e1) | ( ~ (all_26_0 = e0) & op(e1,
% 171.72/25.99 | | | | | | | | | | | | e3) = all_26_0 & $i(all_26_0)))
% 171.72/25.99 | | | | | | | | | | | |
% 171.72/25.99 | | | | | | | | | | | | ALPHA: (3172) implies:
% 171.72/25.99 | | | | | | | | | | | | (3173) op(e3, e2) = all_26_1
% 171.72/25.99 | | | | | | | | | | | | (3174) ~ (all_26_1 = e1) | ( ~ (all_26_0 = e0) & op(e1,
% 171.72/25.99 | | | | | | | | | | | | e3) = all_26_0 & $i(all_26_0))
% 171.72/25.99 | | | | | | | | | | | |
% 171.72/25.99 | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_7, all_65_49, e2,
% 171.72/25.99 | | | | | | | | | | | | e0, simplifying with (225), (3169) gives:
% 171.72/25.99 | | | | | | | | | | | | (3175) all_65_49 = all_61_7
% 171.72/25.99 | | | | | | | | | | | |
% 171.72/25.99 | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_6, all_65_32, e2,
% 171.72/25.99 | | | | | | | | | | | | e1, simplifying with (229), (3168) gives:
% 171.72/25.99 | | | | | | | | | | | | (3176) all_65_32 = all_61_6
% 171.72/25.99 | | | | | | | | | | | |
% 171.72/25.99 | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_13, all_65_3, e0,
% 171.72/25.99 | | | | | | | | | | | | e2, simplifying with (231), (3164) gives:
% 171.72/25.99 | | | | | | | | | | | | (3177) all_65_3 = all_61_13
% 171.72/25.99 | | | | | | | | | | | |
% 171.72/25.99 | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_9, all_65_2, e1,
% 171.72/25.99 | | | | | | | | | | | | e2, simplifying with (232), (3163) gives:
% 171.72/25.99 | | | | | | | | | | | | (3178) all_65_2 = all_61_9
% 171.72/25.99 | | | | | | | | | | | |
% 171.72/25.99 | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_6_2, all_65_1, e2, e2,
% 171.72/25.99 | | | | | | | | | | | | simplifying with (55), (3162) gives:
% 171.72/25.99 | | | | | | | | | | | | (3179) all_65_1 = all_6_2
% 171.72/25.99 | | | | | | | | | | | |
% 171.72/25.99 | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_16, all_65_1, e2,
% 171.72/25.99 | | | | | | | | | | | | e2, simplifying with (3162), (3167) gives:
% 171.72/25.99 | | | | | | | | | | | | (3180) all_65_1 = all_65_16
% 171.72/25.99 | | | | | | | | | | | |
% 171.72/25.99 | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_1, all_65_0, e3,
% 171.72/25.99 | | | | | | | | | | | | e2, simplifying with (234), (3161) gives:
% 171.72/25.99 | | | | | | | | | | | | (3181) all_65_0 = all_61_1
% 171.72/25.99 | | | | | | | | | | | |
% 171.72/25.99 | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_4, all_26_1, e2,
% 171.72/25.99 | | | | | | | | | | | | e3, simplifying with (237), (3173) gives:
% 171.72/25.99 | | | | | | | | | | | | (3182) all_61_4 = all_26_1
% 171.72/25.99 | | | | | | | | | | | |
% 171.72/25.99 | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_4, all_65_0, e2,
% 171.72/25.99 | | | | | | | | | | | | e3, simplifying with (237), (3165) gives:
% 171.72/25.99 | | | | | | | | | | | | (3183) all_65_0 = all_61_4
% 171.72/25.99 | | | | | | | | | | | |
% 171.72/25.99 | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_14_1, all_65_0, e2,
% 171.72/25.99 | | | | | | | | | | | | e3, simplifying with (3154), (3165) gives:
% 171.72/25.99 | | | | | | | | | | | | (3184) all_65_0 = all_14_1
% 171.72/25.99 | | | | | | | | | | | |
% 171.72/25.99 | | | | | | | | | | | | COMBINE_EQS: (3183), (3184) imply:
% 171.72/25.99 | | | | | | | | | | | | (3185) all_61_4 = all_14_1
% 171.72/25.99 | | | | | | | | | | | |
% 171.72/25.99 | | | | | | | | | | | | SIMP: (3185) implies:
% 171.72/25.99 | | | | | | | | | | | | (3186) all_61_4 = all_14_1
% 171.72/25.99 | | | | | | | | | | | |
% 171.72/25.99 | | | | | | | | | | | | COMBINE_EQS: (3181), (3184) imply:
% 171.72/25.99 | | | | | | | | | | | | (3187) all_61_1 = all_14_1
% 171.72/25.99 | | | | | | | | | | | |
% 171.72/25.99 | | | | | | | | | | | | SIMP: (3187) implies:
% 171.72/25.99 | | | | | | | | | | | | (3188) all_61_1 = all_14_1
% 171.72/25.99 | | | | | | | | | | | |
% 171.72/25.99 | | | | | | | | | | | | COMBINE_EQS: (3179), (3180) imply:
% 171.72/25.99 | | | | | | | | | | | | (3189) all_65_16 = all_6_2
% 171.72/25.99 | | | | | | | | | | | |
% 171.72/25.99 | | | | | | | | | | | | SIMP: (3189) implies:
% 171.72/25.99 | | | | | | | | | | | | (3190) all_65_16 = all_6_2
% 171.72/25.99 | | | | | | | | | | | |
% 171.72/25.99 | | | | | | | | | | | | COMBINE_EQS: (3182), (3186) imply:
% 171.72/25.99 | | | | | | | | | | | | (3191) all_26_1 = all_14_1
% 171.72/25.99 | | | | | | | | | | | |
% 171.72/25.99 | | | | | | | | | | | | SIMP: (3191) implies:
% 171.72/25.99 | | | | | | | | | | | | (3192) all_26_1 = all_14_1
% 171.72/25.99 | | | | | | | | | | | |
% 171.72/25.99 | | | | | | | | | | | | COMBINE_EQS: (493), (3188) imply:
% 171.72/25.99 | | | | | | | | | | | | (3193) all_63_4 = all_14_1
% 171.72/25.99 | | | | | | | | | | | |
% 171.72/25.99 | | | | | | | | | | | | COMBINE_EQS: (488), (3186) imply:
% 171.72/25.99 | | | | | | | | | | | | (3194) all_63_1 = all_14_1
% 171.72/25.99 | | | | | | | | | | | |
% 171.72/25.99 | | | | | | | | | | | | REDUCE: (216), (3188) imply:
% 171.72/25.99 | | | | | | | | | | | | (3195) ~ (all_61_2 = all_14_1)
% 171.72/25.99 | | | | | | | | | | | |
% 171.72/25.99 | | | | | | | | | | | | SIMP: (3195) implies:
% 171.72/25.99 | | | | | | | | | | | | (3196) ~ (all_61_2 = all_14_1)
% 171.72/25.99 | | | | | | | | | | | |
% 171.72/25.99 | | | | | | | | | | | | REDUCE: (215), (3188) imply:
% 171.72/25.99 | | | | | | | | | | | | (3197) ~ (all_61_3 = all_14_1)
% 171.72/25.99 | | | | | | | | | | | |
% 171.72/25.99 | | | | | | | | | | | | SIMP: (3197) implies:
% 171.72/26.00 | | | | | | | | | | | | (3198) ~ (all_61_3 = all_14_1)
% 171.72/26.00 | | | | | | | | | | | |
% 171.72/26.00 | | | | | | | | | | | | REDUCE: (213), (3188) imply:
% 171.72/26.00 | | | | | | | | | | | | (3199) ~ (all_61_9 = all_14_1)
% 171.72/26.00 | | | | | | | | | | | |
% 171.72/26.00 | | | | | | | | | | | | SIMP: (3199) implies:
% 171.72/26.00 | | | | | | | | | | | | (3200) ~ (all_61_9 = all_14_1)
% 171.72/26.00 | | | | | | | | | | | |
% 171.72/26.00 | | | | | | | | | | | | REDUCE: (212), (3188) imply:
% 171.72/26.00 | | | | | | | | | | | | (3201) ~ (all_61_13 = all_14_1)
% 171.72/26.00 | | | | | | | | | | | |
% 171.72/26.00 | | | | | | | | | | | | SIMP: (3201) implies:
% 171.72/26.00 | | | | | | | | | | | | (3202) ~ (all_61_13 = all_14_1)
% 171.72/26.00 | | | | | | | | | | | |
% 171.72/26.00 | | | | | | | | | | | | REDUCE: (203), (3186) imply:
% 171.72/26.00 | | | | | | | | | | | | (3203) ~ (all_61_6 = all_14_1)
% 171.72/26.00 | | | | | | | | | | | |
% 171.72/26.00 | | | | | | | | | | | | SIMP: (3203) implies:
% 171.72/26.00 | | | | | | | | | | | | (3204) ~ (all_61_6 = all_14_1)
% 171.72/26.00 | | | | | | | | | | | |
% 171.72/26.00 | | | | | | | | | | | | REDUCE: (202), (3186) imply:
% 171.72/26.00 | | | | | | | | | | | | (3205) ~ (all_61_7 = all_14_1)
% 171.72/26.00 | | | | | | | | | | | |
% 171.72/26.00 | | | | | | | | | | | | SIMP: (3205) implies:
% 171.72/26.00 | | | | | | | | | | | | (3206) ~ (all_61_7 = all_14_1)
% 171.72/26.00 | | | | | | | | | | | |
% 171.72/26.00 | | | | | | | | | | | | REDUCE: (201), (3186) imply:
% 171.72/26.00 | | | | | | | | | | | | (3207) ~ (all_61_8 = all_14_1)
% 171.72/26.00 | | | | | | | | | | | |
% 171.72/26.00 | | | | | | | | | | | | SIMP: (3207) implies:
% 171.72/26.00 | | | | | | | | | | | | (3208) ~ (all_61_8 = all_14_1)
% 171.72/26.00 | | | | | | | | | | | |
% 171.72/26.00 | | | | | | | | | | | | REDUCE: (200), (3186) imply:
% 171.72/26.00 | | | | | | | | | | | | (3209) ~ (all_61_12 = all_14_1)
% 171.72/26.00 | | | | | | | | | | | |
% 171.72/26.00 | | | | | | | | | | | | SIMP: (3209) implies:
% 171.72/26.00 | | | | | | | | | | | | (3210) ~ (all_61_12 = all_14_1)
% 171.72/26.00 | | | | | | | | | | | |
% 171.72/26.00 | | | | | | | | | | | | REDUCE: (607), (3186) imply:
% 171.72/26.00 | | | | | | | | | | | | (3211) ~ (all_14_1 = all_6_2)
% 171.72/26.00 | | | | | | | | | | | |
% 171.72/26.00 | | | | | | | | | | | | REDUCE: (3158), (3186) imply:
% 171.72/26.00 | | | | | | | | | | | | (3212) ~ (all_14_1 = e2)
% 171.72/26.00 | | | | | | | | | | | |
% 171.72/26.00 | | | | | | | | | | | | REDUCE: (650), (3188), (3190) imply:
% 171.72/26.00 | | | | | | | | | | | | (3213) op(all_14_1, e3) = all_6_2
% 171.72/26.00 | | | | | | | | | | | |
% 171.72/26.00 | | | | | | | | | | | | REDUCE: (651), (3188) imply:
% 171.72/26.00 | | | | | | | | | | | | (3214) op(all_14_1, e2) = all_65_17
% 171.72/26.00 | | | | | | | | | | | |
% 171.72/26.00 | | | | | | | | | | | | REDUCE: (653), (3188) imply:
% 171.72/26.00 | | | | | | | | | | | | (3215) op(all_14_1, e0) = all_65_19
% 171.72/26.00 | | | | | | | | | | | |
% 171.72/26.00 | | | | | | | | | | | | REDUCE: (682), (3175) imply:
% 171.72/26.00 | | | | | | | | | | | | (3216) op(all_61_3, e3) = all_61_7
% 171.72/26.00 | | | | | | | | | | | |
% 171.72/26.00 | | | | | | | | | | | | REDUCE: (638), (3186) imply:
% 171.72/26.00 | | | | | | | | | | | | (3217) op(all_14_1, e3) = all_65_4
% 171.72/26.00 | | | | | | | | | | | |
% 171.72/26.00 | | | | | | | | | | | | REDUCE: (639), (3186) imply:
% 171.72/26.00 | | | | | | | | | | | | (3218) op(all_14_1, e2) = all_65_5
% 171.72/26.00 | | | | | | | | | | | |
% 171.72/26.00 | | | | | | | | | | | | REDUCE: (641), (3186) imply:
% 171.72/26.00 | | | | | | | | | | | | (3219) op(all_14_1, e0) = all_65_7
% 171.72/26.00 | | | | | | | | | | | |
% 171.72/26.00 | | | | | | | | | | | | REDUCE: (701), (3177) imply:
% 171.72/26.00 | | | | | | | | | | | | (3220) op(e3, all_61_12) = all_61_13
% 171.72/26.00 | | | | | | | | | | | |
% 171.72/26.00 | | | | | | | | | | | | REDUCE: (719), (3188) imply:
% 171.72/26.00 | | | | | | | | | | | | (3221) op(e2, all_14_1) = all_65_20
% 171.72/26.00 | | | | | | | | | | | |
% 171.72/26.00 | | | | | | | | | | | | REDUCE: (716), (3186) imply:
% 171.72/26.00 | | | | | | | | | | | | (3222) op(e2, all_14_1) = all_65_17
% 171.72/26.00 | | | | | | | | | | | |
% 171.72/26.00 | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_20, all_65_17,
% 171.72/26.00 | | | | | | | | | | | | all_14_1, e2, simplifying with (3221), (3222)
% 171.72/26.00 | | | | | | | | | | | | gives:
% 171.72/26.00 | | | | | | | | | | | | (3223) all_65_17 = all_65_20
% 171.72/26.00 | | | | | | | | | | | |
% 171.72/26.00 | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_19, all_65_7, e0,
% 171.72/26.00 | | | | | | | | | | | | all_14_1, simplifying with (3215), (3219) gives:
% 171.72/26.00 | | | | | | | | | | | | (3224) all_65_7 = all_65_19
% 171.72/26.00 | | | | | | | | | | | |
% 171.72/26.00 | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_17, all_65_5, e2,
% 171.72/26.00 | | | | | | | | | | | | all_14_1, simplifying with (3214), (3218) gives:
% 171.72/26.00 | | | | | | | | | | | | (3225) all_65_5 = all_65_17
% 171.72/26.00 | | | | | | | | | | | |
% 171.72/26.00 | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_6_2, all_65_4, e3,
% 171.72/26.00 | | | | | | | | | | | | all_14_1, simplifying with (3213), (3217) gives:
% 171.72/26.00 | | | | | | | | | | | | (3226) all_65_4 = all_6_2
% 171.72/26.00 | | | | | | | | | | | |
% 171.72/26.00 | | | | | | | | | | | | COMBINE_EQS: (3223), (3225) imply:
% 171.72/26.00 | | | | | | | | | | | | (3227) all_65_5 = all_65_20
% 171.72/26.00 | | | | | | | | | | | |
% 171.72/26.00 | | | | | | | | | | | | REDUCE: (705), (3224) imply:
% 171.72/26.00 | | | | | | | | | | | | (3228) op(e3, all_61_13) = all_65_19
% 171.72/26.00 | | | | | | | | | | | |
% 171.72/26.00 | | | | | | | | | | | | REDUCE: (703), (3227) imply:
% 171.72/26.00 | | | | | | | | | | | | (3229) op(e3, all_6_2) = all_65_20
% 171.72/26.00 | | | | | | | | | | | |
% 171.72/26.00 | | | | | | | | | | | | BETA: splitting (77) gives:
% 171.72/26.00 | | | | | | | | | | | |
% 171.72/26.00 | | | | | | | | | | | | Case 1:
% 171.72/26.00 | | | | | | | | | | | | |
% 171.72/26.00 | | | | | | | | | | | | | (3230) ~ (all_20_2 = e2)
% 171.72/26.00 | | | | | | | | | | | | |
% 171.72/26.00 | | | | | | | | | | | | | BETA: splitting (80) gives:
% 171.72/26.00 | | | | | | | | | | | | |
% 171.72/26.00 | | | | | | | | | | | | | Case 1:
% 171.72/26.00 | | | | | | | | | | | | | |
% 171.72/26.00 | | | | | | | | | | | | | | (3231) ~ (all_22_2 = e0)
% 171.72/26.00 | | | | | | | | | | | | | |
% 171.72/26.00 | | | | | | | | | | | | | | REDUCE: (449), (3231) imply:
% 171.72/26.00 | | | | | | | | | | | | | | (3232) ~ (all_6_2 = e0)
% 171.72/26.00 | | | | | | | | | | | | | |
% 171.72/26.00 | | | | | | | | | | | | | | BETA: splitting (266) gives:
% 171.72/26.00 | | | | | | | | | | | | | |
% 171.72/26.00 | | | | | | | | | | | | | | Case 1:
% 171.72/26.00 | | | | | | | | | | | | | | |
% 171.72/26.00 | | | | | | | | | | | | | | | (3233) all_63_5 = e3
% 171.72/26.00 | | | | | | | | | | | | | | |
% 171.72/26.00 | | | | | | | | | | | | | | | COMBINE_EQS: (587), (3233) imply:
% 171.72/26.00 | | | | | | | | | | | | | | | (3234) all_6_2 = e3
% 171.72/26.00 | | | | | | | | | | | | | | |
% 171.72/26.00 | | | | | | | | | | | | | | | REDUCE: (767), (3234) imply:
% 171.72/26.00 | | | | | | | | | | | | | | | (3235) $false
% 171.72/26.00 | | | | | | | | | | | | | | |
% 171.72/26.00 | | | | | | | | | | | | | | | CLOSE: (3235) is inconsistent.
% 171.72/26.00 | | | | | | | | | | | | | | |
% 171.72/26.00 | | | | | | | | | | | | | | Case 2:
% 171.72/26.00 | | | | | | | | | | | | | | |
% 171.72/26.00 | | | | | | | | | | | | | | | (3236) all_63_5 = e2 | all_63_5 = e1 | all_63_5 = e0
% 171.72/26.00 | | | | | | | | | | | | | | |
% 171.72/26.00 | | | | | | | | | | | | | | | BETA: splitting (3236) gives:
% 171.72/26.00 | | | | | | | | | | | | | | |
% 171.72/26.00 | | | | | | | | | | | | | | | Case 1:
% 171.72/26.00 | | | | | | | | | | | | | | | |
% 171.72/26.00 | | | | | | | | | | | | | | | | (3237) all_63_5 = e2
% 171.72/26.00 | | | | | | | | | | | | | | | |
% 171.72/26.00 | | | | | | | | | | | | | | | | COMBINE_EQS: (587), (3237) imply:
% 171.72/26.00 | | | | | | | | | | | | | | | | (3238) all_6_2 = e2
% 171.72/26.00 | | | | | | | | | | | | | | | |
% 171.72/26.00 | | | | | | | | | | | | | | | | REDUCE: (611), (3238) imply:
% 171.72/26.00 | | | | | | | | | | | | | | | | (3239) ~ (all_61_7 = e2)
% 171.72/26.00 | | | | | | | | | | | | | | | |
% 171.72/26.00 | | | | | | | | | | | | | | | | REDUCE: (613), (3238) imply:
% 171.72/26.00 | | | | | | | | | | | | | | | | (3240) ~ (all_61_9 = e2)
% 171.72/26.00 | | | | | | | | | | | | | | | |
% 171.72/26.00 | | | | | | | | | | | | | | | | REDUCE: (615), (3238) imply:
% 171.72/26.00 | | | | | | | | | | | | | | | | (3241) ~ (all_61_13 = e2)
% 171.72/26.00 | | | | | | | | | | | | | | | |
% 171.72/26.00 | | | | | | | | | | | | | | | | REDUCE: (3213), (3238) imply:
% 171.72/26.00 | | | | | | | | | | | | | | | | (3242) op(all_14_1, e3) = e2
% 171.72/26.00 | | | | | | | | | | | | | | | |
% 171.72/26.00 | | | | | | | | | | | | | | | | REDUCE: (656), (3238) imply:
% 171.72/26.00 | | | | | | | | | | | | | | | | (3243) op(e2, e1) = all_65_22
% 171.72/26.00 | | | | | | | | | | | | | | | |
% 171.72/26.00 | | | | | | | | | | | | | | | | REDUCE: (657), (3238) imply:
% 171.72/26.00 | | | | | | | | | | | | | | | | (3244) op(e2, e0) = all_65_23
% 171.72/26.00 | | | | | | | | | | | | | | | |
% 171.72/26.00 | | | | | | | | | | | | | | | | REDUCE: (3229), (3238) imply:
% 171.72/26.00 | | | | | | | | | | | | | | | | (3245) op(e3, e2) = all_65_20
% 171.72/26.00 | | | | | | | | | | | | | | | |
% 171.72/26.00 | | | | | | | | | | | | | | | | REDUCE: (720), (3238) imply:
% 171.72/26.00 | | | | | | | | | | | | | | | | (3246) op(e2, e2) = all_65_21
% 171.72/26.00 | | | | | | | | | | | | | | | |
% 171.72/26.00 | | | | | | | | | | | | | | | | REDUCE: (55), (3238) imply:
% 171.72/26.00 | | | | | | | | | | | | | | | | (3247) op(e2, e2) = e2
% 171.72/26.00 | | | | | | | | | | | | | | | |
% 171.72/26.00 | | | | | | | | | | | | | | | | REDUCE: (737), (3238) imply:
% 171.72/26.00 | | | | | | | | | | | | | | | | (3248) op(e1, e2) = all_65_37
% 171.72/26.00 | | | | | | | | | | | | | | | |
% 171.72/26.00 | | | | | | | | | | | | | | | | REDUCE: (754), (3238) imply:
% 171.72/26.00 | | | | | | | | | | | | | | | | (3249) op(e0, e2) = all_65_59
% 171.72/26.00 | | | | | | | | | | | | | | | |
% 171.72/26.00 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_7, all_65_59, e2,
% 171.72/26.00 | | | | | | | | | | | | | | | | e0, simplifying with (225), (3249) gives:
% 171.72/26.00 | | | | | | | | | | | | | | | | (3250) all_65_59 = all_61_7
% 171.72/26.00 | | | | | | | | | | | | | | | |
% 171.72/26.00 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_6, all_65_37, e2,
% 171.72/26.00 | | | | | | | | | | | | | | | | e1, simplifying with (229), (3248) gives:
% 171.72/26.00 | | | | | | | | | | | | | | | | (3251) all_65_37 = all_61_6
% 171.72/26.00 | | | | | | | | | | | | | | | |
% 171.72/26.00 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_13, all_65_23, e0,
% 171.72/26.00 | | | | | | | | | | | | | | | | e2, simplifying with (231), (3244) gives:
% 171.72/26.00 | | | | | | | | | | | | | | | | (3252) all_65_23 = all_61_13
% 171.72/26.00 | | | | | | | | | | | | | | | |
% 171.72/26.00 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_9, all_65_22, e1,
% 171.72/26.00 | | | | | | | | | | | | | | | | e2, simplifying with (232), (3243) gives:
% 171.72/26.00 | | | | | | | | | | | | | | | | (3253) all_65_22 = all_61_9
% 171.72/26.00 | | | | | | | | | | | | | | | |
% 171.72/26.00 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e2, all_65_21, e2, e2,
% 171.72/26.00 | | | | | | | | | | | | | | | | simplifying with (3246), (3247) gives:
% 171.72/26.00 | | | | | | | | | | | | | | | | (3254) all_65_21 = e2
% 171.72/26.00 | | | | | | | | | | | | | | | |
% 171.72/26.00 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_14_1, all_65_20, e2,
% 171.72/26.00 | | | | | | | | | | | | | | | | e3, simplifying with (3154), (3245) gives:
% 171.72/26.00 | | | | | | | | | | | | | | | | (3255) all_65_20 = all_14_1
% 171.72/26.00 | | | | | | | | | | | | | | | |
% 171.72/26.00 | | | | | | | | | | | | | | | | REDUCE: (687), (3250) imply:
% 171.72/26.00 | | | | | | | | | | | | | | | | (3256) op(all_61_7, e2) = all_61_7
% 171.72/26.00 | | | | | | | | | | | | | | | |
% 171.72/26.00 | | | | | | | | | | | | | | | | BETA: splitting (89) gives:
% 171.72/26.00 | | | | | | | | | | | | | | | |
% 171.72/26.00 | | | | | | | | | | | | | | | | Case 1:
% 171.72/26.00 | | | | | | | | | | | | | | | | |
% 171.72/26.00 | | | | | | | | | | | | | | | | | (3257) ~ (all_28_2 = e3)
% 171.72/26.00 | | | | | | | | | | | | | | | | |
% 171.72/26.00 | | | | | | | | | | | | | | | | | REDUCE: (563), (3257) imply:
% 171.72/26.00 | | | | | | | | | | | | | | | | | (3258) ~ (all_20_2 = e3)
% 171.72/26.00 | | | | | | | | | | | | | | | | |
% 171.72/26.00 | | | | | | | | | | | | | | | | | BETA: splitting (110) gives:
% 171.72/26.00 | | | | | | | | | | | | | | | | |
% 171.72/26.00 | | | | | | | | | | | | | | | | | Case 1:
% 171.72/26.00 | | | | | | | | | | | | | | | | | |
% 171.72/26.00 | | | | | | | | | | | | | | | | | | (3259) ~ (all_42_2 = e1)
% 171.72/26.00 | | | | | | | | | | | | | | | | | |
% 171.72/26.00 | | | | | | | | | | | | | | | | | | REDUCE: (532), (3259) imply:
% 171.72/26.00 | | | | | | | | | | | | | | | | | | (3260) ~ (all_20_2 = e1)
% 171.72/26.00 | | | | | | | | | | | | | | | | | |
% 171.72/26.00 | | | | | | | | | | | | | | | | | | BETA: splitting (256) gives:
% 171.72/26.00 | | | | | | | | | | | | | | | | | |
% 171.72/26.00 | | | | | | | | | | | | | | | | | | Case 1:
% 171.72/26.00 | | | | | | | | | | | | | | | | | | |
% 171.72/26.00 | | | | | | | | | | | | | | | | | | | (3261) all_63_15 = e3
% 171.72/26.00 | | | | | | | | | | | | | | | | | | |
% 171.72/26.00 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (422), (3258), (3261) are inconsistent by
% 171.72/26.00 | | | | | | | | | | | | | | | | | | | sub-proof #501.
% 171.72/26.00 | | | | | | | | | | | | | | | | | | |
% 171.72/26.00 | | | | | | | | | | | | | | | | | | Case 2:
% 171.72/26.00 | | | | | | | | | | | | | | | | | | |
% 171.72/26.00 | | | | | | | | | | | | | | | | | | | (3262) all_63_15 = e2 | all_63_15 = e1 | all_63_15 = e0
% 171.72/26.00 | | | | | | | | | | | | | | | | | | |
% 171.72/26.00 | | | | | | | | | | | | | | | | | | | BETA: splitting (3262) gives:
% 171.72/26.00 | | | | | | | | | | | | | | | | | | |
% 171.72/26.00 | | | | | | | | | | | | | | | | | | | Case 1:
% 171.72/26.00 | | | | | | | | | | | | | | | | | | | |
% 171.72/26.00 | | | | | | | | | | | | | | | | | | | | (3263) all_63_15 = e2
% 171.72/26.00 | | | | | | | | | | | | | | | | | | | |
% 171.72/26.00 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (422), (3230), (3263) are inconsistent by
% 171.72/26.00 | | | | | | | | | | | | | | | | | | | | sub-proof #500.
% 171.72/26.00 | | | | | | | | | | | | | | | | | | | |
% 171.72/26.00 | | | | | | | | | | | | | | | | | | | Case 2:
% 171.72/26.00 | | | | | | | | | | | | | | | | | | | |
% 171.72/26.00 | | | | | | | | | | | | | | | | | | | | (3264) all_63_15 = e1 | all_63_15 = e0
% 171.72/26.00 | | | | | | | | | | | | | | | | | | | |
% 171.72/26.00 | | | | | | | | | | | | | | | | | | | | BETA: splitting (3264) gives:
% 171.72/26.00 | | | | | | | | | | | | | | | | | | | |
% 171.72/26.00 | | | | | | | | | | | | | | | | | | | | Case 1:
% 171.72/26.00 | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.00 | | | | | | | | | | | | | | | | | | | | | (3265) all_63_15 = e1
% 171.72/26.00 | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.00 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (422), (3260), (3265) are inconsistent by
% 171.72/26.00 | | | | | | | | | | | | | | | | | | | | | sub-proof #499.
% 171.72/26.00 | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.00 | | | | | | | | | | | | | | | | | | | | Case 2:
% 171.72/26.00 | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.00 | | | | | | | | | | | | | | | | | | | | | (3266) all_63_15 = e0
% 171.72/26.00 | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.00 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (422), (3266) imply:
% 171.72/26.00 | | | | | | | | | | | | | | | | | | | | | (3267) all_20_2 = e0
% 171.72/26.00 | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.00 | | | | | | | | | | | | | | | | | | | | | SIMP: (3267) implies:
% 171.72/26.00 | | | | | | | | | | | | | | | | | | | | | (3268) all_20_2 = e0
% 171.72/26.00 | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.00 | | | | | | | | | | | | | | | | | | | | | REDUCE: (625), (3268) imply:
% 171.72/26.00 | | | | | | | | | | | | | | | | | | | | | (3269) ~ (all_61_12 = e0)
% 171.72/26.00 | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.00 | | | | | | | | | | | | | | | | | | | | | REDUCE: (695), (3268) imply:
% 171.72/26.00 | | | | | | | | | | | | | | | | | | | | | (3270) op(e0, e2) = all_65_75
% 171.72/26.00 | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.00 | | | | | | | | | | | | | | | | | | | | | REDUCE: (730), (3268) imply:
% 171.72/26.00 | | | | | | | | | | | | | | | | | | | | | (3271) op(e2, e0) = all_65_31
% 171.72/26.00 | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.00 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_7, all_65_75, e2,
% 171.72/26.00 | | | | | | | | | | | | | | | | | | | | | e0, simplifying with (225), (3270) gives:
% 171.72/26.00 | | | | | | | | | | | | | | | | | | | | | (3272) all_65_75 = all_61_7
% 171.72/26.00 | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.00 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_13, all_65_31, e0,
% 171.72/26.00 | | | | | | | | | | | | | | | | | | | | | e2, simplifying with (231), (3271) gives:
% 171.72/26.00 | | | | | | | | | | | | | | | | | | | | | (3273) all_65_31 = all_61_13
% 171.72/26.00 | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.00 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (161) gives:
% 171.72/26.00 | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.00 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 171.72/26.00 | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.00 | | | | | | | | | | | | | | | | | | | | | | (3274) ~ (all_58_2 = e2)
% 171.72/26.00 | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.00 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (478), (3274) imply:
% 171.72/26.00 | | | | | | | | | | | | | | | | | | | | | | (3275) ~ (all_52_2 = e2)
% 171.72/26.00 | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.00 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (10), (50), (150), (158), (163), (164),
% 171.72/26.00 | | | | | | | | | | | | | | | | | | | | | | (165), (225), (231), (232), (475), (478), (481),
% 171.72/26.00 | | | | | | | | | | | | | | | | | | | | | | (484), (536), (628), (663), (714), (731), (765),
% 171.72/26.00 | | | | | | | | | | | | | | | | | | | | | | (866), (3154), (3241), (3242), (3247), (3256),
% 171.72/26.00 | | | | | | | | | | | | | | | | | | | | | | (3275) are inconsistent by sub-proof #363.
% 171.72/26.00 | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.00 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 171.72/26.00 | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.00 | | | | | | | | | | | | | | | | | | | | | | (3276) all_58_2 = e2
% 171.72/26.00 | | | | | | | | | | | | | | | | | | | | | | (3277) all_58_1 = e1
% 171.72/26.00 | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.00 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (481), (3277) imply:
% 171.72/26.00 | | | | | | | | | | | | | | | | | | | | | | (3278) all_52_1 = e1
% 171.72/26.00 | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.00 | | | | | | | | | | | | | | | | | | | | | | SIMP: (3278) implies:
% 171.72/26.00 | | | | | | | | | | | | | | | | | | | | | | (3279) all_52_1 = e1
% 171.72/26.00 | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.00 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (478), (3276) imply:
% 171.72/26.00 | | | | | | | | | | | | | | | | | | | | | | (3280) all_52_2 = e2
% 171.72/26.00 | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.00 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (731), (3279) imply:
% 171.72/26.00 | | | | | | | | | | | | | | | | | | | | | | (3281) op(e2, e1) = unit
% 171.72/26.00 | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.00 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (748), (3280) imply:
% 171.72/26.00 | | | | | | | | | | | | | | | | | | | | | | (3282) op(e1, e2) = unit
% 171.72/26.00 | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.00 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_6, unit, e2, e1,
% 171.72/26.00 | | | | | | | | | | | | | | | | | | | | | | simplifying with (229), (3282) gives:
% 171.72/26.00 | | | | | | | | | | | | | | | | | | | | | | (3283) all_61_6 = unit
% 171.72/26.00 | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.00 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_9, unit, e1, e2,
% 171.72/26.00 | | | | | | | | | | | | | | | | | | | | | | simplifying with (232), (3281) gives:
% 171.72/26.00 | | | | | | | | | | | | | | | | | | | | | | (3284) all_61_9 = unit
% 171.72/26.00 | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.00 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (501), (3283) imply:
% 171.72/26.00 | | | | | | | | | | | | | | | | | | | | | | (3285) all_63_9 = unit
% 171.72/26.00 | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.00 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (190), (3284) imply:
% 171.72/26.00 | | | | | | | | | | | | | | | | | | | | | | (3286) ~ (all_61_8 = unit)
% 171.72/26.00 | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.00 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3200), (3284) imply:
% 171.72/26.00 | | | | | | | | | | | | | | | | | | | | | | (3287) ~ (all_14_1 = unit)
% 171.72/26.00 | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.00 | | | | | | | | | | | | | | | | | | | | | | SIMP: (3287) implies:
% 171.72/26.00 | | | | | | | | | | | | | | | | | | | | | | (3288) ~ (all_14_1 = unit)
% 171.72/26.00 | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.00 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3240), (3284) imply:
% 171.72/26.00 | | | | | | | | | | | | | | | | | | | | | | (3289) ~ (unit = e2)
% 171.72/26.00 | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.00 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (866), (3284) imply:
% 171.72/26.00 | | | | | | | | | | | | | | | | | | | | | | (3290) ~ (unit = e1)
% 171.72/26.00 | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.00 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (262) gives:
% 171.72/26.00 | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.00 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 171.72/26.00 | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.00 | | | | | | | | | | | | | | | | | | | | | | | (3291) all_63_9 = e3
% 171.72/26.00 | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.00 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3285), (3291) imply:
% 171.72/26.00 | | | | | | | | | | | | | | | | | | | | | | | (3292) unit = e3
% 171.72/26.00 | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.00 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (851), (3292) imply:
% 171.72/26.00 | | | | | | | | | | | | | | | | | | | | | | | (3293) $false
% 171.72/26.00 | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.00 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3293) is inconsistent.
% 171.72/26.00 | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.00 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 171.72/26.00 | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.00 | | | | | | | | | | | | | | | | | | | | | | | (3294) all_63_9 = e2 | all_63_9 = e1 | all_63_9 = e0
% 171.72/26.00 | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.00 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3294) gives:
% 171.72/26.00 | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.00 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 171.72/26.00 | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.00 | | | | | | | | | | | | | | | | | | | | | | | | (3295) all_63_9 = e2
% 171.72/26.00 | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.00 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3285), (3295) imply:
% 171.72/26.00 | | | | | | | | | | | | | | | | | | | | | | | | (3296) unit = e2
% 171.72/26.00 | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.00 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3289), (3296) imply:
% 171.72/26.00 | | | | | | | | | | | | | | | | | | | | | | | | (3297) $false
% 171.72/26.00 | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.00 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3297) is inconsistent.
% 171.72/26.00 | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.00 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 171.72/26.00 | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.00 | | | | | | | | | | | | | | | | | | | | | | | | (3298) all_63_9 = e1 | all_63_9 = e0
% 171.72/26.00 | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.00 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3298) gives:
% 171.72/26.00 | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.00 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 171.72/26.00 | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | (3299) all_63_9 = e1
% 171.72/26.00 | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3285), (3299) imply:
% 171.72/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | (3300) unit = e1
% 171.72/26.00 | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3290), (3300) imply:
% 171.72/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | (3301) $false
% 171.72/26.00 | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3301) is inconsistent.
% 171.72/26.00 | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.00 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 171.72/26.00 | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | (3302) all_63_9 = e0
% 171.72/26.00 | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3285), (3302) imply:
% 171.72/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | (3303) unit = e0
% 171.72/26.00 | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3286), (3303) imply:
% 171.72/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | (3304) ~ (all_61_8 = e0)
% 171.72/26.00 | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3288), (3303) imply:
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | (3305) ~ (all_14_1 = e0)
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (269) gives:
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | | (3306) all_63_2 = e3
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (489), (3306) imply:
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | | (3307) all_61_8 = e3
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (187), (3307) imply:
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | | (3308) ~ (all_61_12 = e3)
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3308) implies:
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | | (3309) ~ (all_61_12 = e3)
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3208), (3307) imply:
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | | (3310) ~ (all_14_1 = e3)
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3310) implies:
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | | (3311) ~ (all_14_1 = e3)
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (268), (270), (491), (3160), (3194), (3210),
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | | (3212), (3269), (3305), (3309), (3311) are
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #362.
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | | (3312) all_63_2 = e2 | all_63_2 = e1 | all_63_2 = e0
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (489), (865), (3159), (3304), (3312) are
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #401.
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | | | | End of split
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | | | End of split
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | | End of split
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | |
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | End of split
% 171.72/26.01 | | | | | | | | | | | | | | | | | | |
% 171.72/26.01 | | | | | | | | | | | | | | | | | | End of split
% 171.72/26.01 | | | | | | | | | | | | | | | | | |
% 171.72/26.01 | | | | | | | | | | | | | | | | | Case 2:
% 171.72/26.01 | | | | | | | | | | | | | | | | | |
% 171.72/26.01 | | | | | | | | | | | | | | | | | | (3313) all_42_2 = e1
% 171.72/26.01 | | | | | | | | | | | | | | | | | | (3314) op(e0, e1) = all_42_1 & $i(all_42_1) & ( ~
% 171.72/26.01 | | | | | | | | | | | | | | | | | | (all_42_1 = e3) | ( ~ (all_42_0 = e2) & op(e3,
% 171.72/26.01 | | | | | | | | | | | | | | | | | | e0) = all_42_0 & $i(all_42_0)))
% 171.72/26.01 | | | | | | | | | | | | | | | | | |
% 171.72/26.01 | | | | | | | | | | | | | | | | | | ALPHA: (3314) implies:
% 171.72/26.01 | | | | | | | | | | | | | | | | | | (3315) op(e0, e1) = all_42_1
% 171.72/26.01 | | | | | | | | | | | | | | | | | |
% 171.72/26.01 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (532), (3313) imply:
% 171.72/26.01 | | | | | | | | | | | | | | | | | | (3316) all_20_2 = e1
% 171.72/26.01 | | | | | | | | | | | | | | | | | |
% 171.72/26.01 | | | | | | | | | | | | | | | | | | SIMP: (3316) implies:
% 171.72/26.01 | | | | | | | | | | | | | | | | | | (3317) all_20_2 = e1
% 171.72/26.01 | | | | | | | | | | | | | | | | | |
% 171.72/26.01 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (582), (3317) imply:
% 171.72/26.01 | | | | | | | | | | | | | | | | | | (3318) all_50_2 = e1
% 171.72/26.01 | | | | | | | | | | | | | | | | | |
% 171.72/26.01 | | | | | | | | | | | | | | | | | | REDUCE: (617), (3317) imply:
% 171.72/26.01 | | | | | | | | | | | | | | | | | | (3319) ~ (all_61_7 = e1)
% 171.72/26.01 | | | | | | | | | | | | | | | | | |
% 171.72/26.01 | | | | | | | | | | | | | | | | | | REDUCE: (626), (3317) imply:
% 171.72/26.01 | | | | | | | | | | | | | | | | | | (3320) ~ (all_61_13 = e1)
% 171.72/26.01 | | | | | | | | | | | | | | | | | |
% 171.72/26.01 | | | | | | | | | | | | | | | | | | REDUCE: (695), (3317) imply:
% 171.72/26.01 | | | | | | | | | | | | | | | | | | (3321) op(e1, e2) = all_65_75
% 171.72/26.01 | | | | | | | | | | | | | | | | | |
% 171.72/26.01 | | | | | | | | | | | | | | | | | | REDUCE: (697), (3317) imply:
% 171.72/26.01 | | | | | | | | | | | | | | | | | | (3322) op(e1, e0) = all_65_78
% 171.72/26.01 | | | | | | | | | | | | | | | | | |
% 171.72/26.01 | | | | | | | | | | | | | | | | | | REDUCE: (713), (3317) imply:
% 171.72/26.01 | | | | | | | | | | | | | | | | | | (3323) op(e3, e1) = all_65_15
% 171.72/26.01 | | | | | | | | | | | | | | | | | |
% 171.72/26.01 | | | | | | | | | | | | | | | | | | REDUCE: (730), (3317) imply:
% 171.72/26.01 | | | | | | | | | | | | | | | | | | (3324) op(e2, e1) = all_65_31
% 171.72/26.01 | | | | | | | | | | | | | | | | | |
% 171.72/26.01 | | | | | | | | | | | | | | | | | | REDUCE: (747), (3317) imply:
% 171.72/26.01 | | | | | | | | | | | | | | | | | | (3325) op(e1, e1) = all_65_47
% 171.72/26.01 | | | | | | | | | | | | | | | | | |
% 171.72/26.01 | | | | | | | | | | | | | | | | | | REDUCE: (764), (3317) imply:
% 171.72/26.01 | | | | | | | | | | | | | | | | | | (3326) op(e0, e1) = all_65_78
% 171.72/26.01 | | | | | | | | | | | | | | | | | |
% 171.72/26.01 | | | | | | | | | | | | | | | | | | BETA: splitting (122) gives:
% 171.72/26.01 | | | | | | | | | | | | | | | | | |
% 171.72/26.01 | | | | | | | | | | | | | | | | | | Case 1:
% 171.72/26.01 | | | | | | | | | | | | | | | | | | |
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | (3327) ~ (all_50_2 = e1)
% 171.72/26.01 | | | | | | | | | | | | | | | | | | |
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | REDUCE: (3318), (3327) imply:
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | (3328) $false
% 171.72/26.01 | | | | | | | | | | | | | | | | | | |
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | CLOSE: (3328) is inconsistent.
% 171.72/26.01 | | | | | | | | | | | | | | | | | | |
% 171.72/26.01 | | | | | | | | | | | | | | | | | | Case 2:
% 171.72/26.01 | | | | | | | | | | | | | | | | | | |
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | (3329) op(e0, e1) = all_50_1 & $i(all_50_1) & ( ~
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | (all_50_1 = e2) | ( ~ (all_50_0 = e3) & op(e2,
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | e0) = all_50_0 & $i(all_50_0)))
% 171.72/26.01 | | | | | | | | | | | | | | | | | | |
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | ALPHA: (3329) implies:
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | (3330) op(e0, e1) = all_50_1
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | (3331) ~ (all_50_1 = e2) | ( ~ (all_50_0 = e3) & op(e2,
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | e0) = all_50_0 & $i(all_50_0))
% 171.72/26.01 | | | | | | | | | | | | | | | | | | |
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_11, all_65_78, e1,
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | e0, simplifying with (224), (3326) gives:
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | (3332) all_65_78 = all_61_11
% 171.72/26.01 | | | | | | | | | | | | | | | | | | |
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_50_1, all_65_78, e1,
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | e0, simplifying with (3326), (3330) gives:
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | (3333) all_65_78 = all_50_1
% 171.72/26.01 | | | | | | | | | | | | | | | | | | |
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_42_1, all_65_78, e1,
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | e0, simplifying with (3315), (3326) gives:
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | (3334) all_65_78 = all_42_1
% 171.72/26.01 | | | | | | | | | | | | | | | | | | |
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_14, all_65_78, e0,
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | e1, simplifying with (227), (3322) gives:
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | (3335) all_65_78 = all_61_14
% 171.72/26.01 | | | | | | | | | | | | | | | | | | |
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e1, all_65_47, e1, e1,
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | simplifying with (876), (3325) gives:
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | (3336) all_65_47 = e1
% 171.72/26.01 | | | | | | | | | | | | | | | | | | |
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_6, all_65_75, e2,
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | e1, simplifying with (229), (3321) gives:
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | (3337) all_65_75 = all_61_6
% 171.72/26.01 | | | | | | | | | | | | | | | | | | |
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_9, all_65_31, e1,
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | e2, simplifying with (232), (3324) gives:
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | (3338) all_65_31 = all_61_9
% 171.72/26.01 | | | | | | | | | | | | | | | | | | |
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_8, all_65_15, e1,
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | e3, simplifying with (236), (3323) gives:
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | (3339) all_65_15 = all_61_8
% 171.72/26.01 | | | | | | | | | | | | | | | | | | |
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3332), (3335) imply:
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | (3340) all_61_11 = all_61_14
% 171.72/26.01 | | | | | | | | | | | | | | | | | | |
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3332), (3333) imply:
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | (3341) all_61_11 = all_50_1
% 171.72/26.01 | | | | | | | | | | | | | | | | | | |
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3332), (3334) imply:
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | (3342) all_61_11 = all_42_1
% 171.72/26.01 | | | | | | | | | | | | | | | | | | |
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3340), (3341) imply:
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | (3343) all_61_14 = all_50_1
% 171.72/26.01 | | | | | | | | | | | | | | | | | | |
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | SIMP: (3343) implies:
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | (3344) all_61_14 = all_50_1
% 171.72/26.01 | | | | | | | | | | | | | | | | | | |
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3341), (3342) imply:
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | (3345) all_50_1 = all_42_1
% 171.72/26.01 | | | | | | | | | | | | | | | | | | |
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3344), (3345) imply:
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | (3346) all_61_14 = all_42_1
% 171.72/26.01 | | | | | | | | | | | | | | | | | | |
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (505), (3346) imply:
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | (3347) all_63_11 = all_42_1
% 171.72/26.01 | | | | | | | | | | | | | | | | | | |
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | REDUCE: (192), (3342) imply:
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | (3348) ~ (all_61_7 = all_42_1)
% 171.72/26.01 | | | | | | | | | | | | | | | | | | |
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | REDUCE: (185), (3342) imply:
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | (3349) ~ (all_61_9 = all_42_1)
% 171.72/26.01 | | | | | | | | | | | | | | | | | | |
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | REDUCE: (179), (3346) imply:
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | (3350) ~ (all_61_12 = all_42_1)
% 171.72/26.01 | | | | | | | | | | | | | | | | | | |
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | REDUCE: (177), (3346) imply:
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | (3351) ~ (all_61_13 = all_42_1)
% 171.72/26.01 | | | | | | | | | | | | | | | | | | |
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | REDUCE: (868), (3346) imply:
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | (3352) ~ (all_42_1 = e1)
% 171.72/26.01 | | | | | | | | | | | | | | | | | | |
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | REDUCE: (691), (3342) imply:
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | (3353) op(all_42_1, e2) = all_65_67
% 171.72/26.01 | | | | | | | | | | | | | | | | | | |
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | REDUCE: (693), (3342) imply:
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | (3354) op(all_42_1, e0) = all_65_71
% 171.72/26.01 | | | | | | | | | | | | | | | | | | |
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | REDUCE: (679), (3346) imply:
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | (3355) op(all_42_1, e2) = all_65_45
% 171.72/26.01 | | | | | | | | | | | | | | | | | | |
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | REDUCE: (681), (3336), (3346) imply:
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | (3356) op(all_42_1, e0) = e1
% 171.72/26.01 | | | | | | | | | | | | | | | | | | |
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | REDUCE: (729), (3342) imply:
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | (3357) op(e2, all_42_1) = all_65_30
% 171.72/26.01 | | | | | | | | | | | | | | | | | | |
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | REDUCE: (726), (3346) imply:
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | (3358) op(e2, all_42_1) = all_65_27
% 171.72/26.01 | | | | | | | | | | | | | | | | | | |
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_30, all_65_27,
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | all_42_1, e2, simplifying with (3357), (3358)
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | gives:
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | (3359) all_65_27 = all_65_30
% 171.72/26.01 | | | | | | | | | | | | | | | | | | |
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e1, all_65_71, e0,
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | all_42_1, simplifying with (3354), (3356) gives:
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | (3360) all_65_71 = e1
% 171.72/26.01 | | | | | | | | | | | | | | | | | | |
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_67, all_65_45, e2,
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | all_42_1, simplifying with (3353), (3355) gives:
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | (3361) all_65_45 = all_65_67
% 171.72/26.01 | | | | | | | | | | | | | | | | | | |
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | REDUCE: (661), (3359) imply:
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | (3362) op(all_61_9, e0) = all_65_30
% 171.72/26.01 | | | | | | | | | | | | | | | | | | |
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | REDUCE: (745), (3361) imply:
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | (3363) op(e1, all_61_7) = all_65_67
% 171.72/26.01 | | | | | | | | | | | | | | | | | | |
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | BETA: splitting (164) gives:
% 171.72/26.01 | | | | | | | | | | | | | | | | | | |
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | Case 1:
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | |
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | | (3364) ~ (all_58_1 = e1)
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | |
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | | REDUCE: (481), (3364) imply:
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | | (3365) ~ (all_52_1 = e1)
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | |
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (10), (50), (150), (158), (163), (165),
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | | (225), (231), (232), (475), (481), (484), (536),
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | | (628), (663), (714), (731), (765), (866), (3154),
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | | (3241), (3242), (3247), (3256), (3365) are
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #364.
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | |
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | Case 2:
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | |
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | | (3366) all_58_2 = e2
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | | (3367) all_58_1 = e1
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | |
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (481), (3367) imply:
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | | (3368) all_52_1 = e1
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | |
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | | SIMP: (3368) implies:
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | | (3369) all_52_1 = e1
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | |
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (478), (3366) imply:
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | | (3370) all_52_2 = e2
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | |
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | | REDUCE: (731), (3369) imply:
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | | (3371) op(e2, e1) = unit
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | |
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | | REDUCE: (748), (3370) imply:
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | | (3372) op(e1, e2) = unit
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | |
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_6, unit, e2, e1,
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | | simplifying with (229), (3372) gives:
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | | (3373) all_61_6 = unit
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | |
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_9, unit, e1, e2,
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | | simplifying with (232), (3371) gives:
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | | (3374) all_61_9 = unit
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | |
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | | REDUCE: (210), (3373) imply:
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | | (3375) ~ (all_61_2 = unit)
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | |
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | | REDUCE: (195), (3373) imply:
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | | (3376) ~ (all_61_7 = unit)
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | |
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | | SIMP: (3376) implies:
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | | (3377) ~ (all_61_7 = unit)
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | |
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | | REDUCE: (190), (3374) imply:
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | | (3378) ~ (all_61_8 = unit)
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | |
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | | REDUCE: (184), (3374) imply:
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | | (3379) ~ (all_61_13 = unit)
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | |
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | | SIMP: (3379) implies:
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | | (3380) ~ (all_61_13 = unit)
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | |
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | | REDUCE: (3349), (3374) imply:
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | | (3381) ~ (all_42_1 = unit)
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | |
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | | SIMP: (3381) implies:
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | | (3382) ~ (all_42_1 = unit)
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | |
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | | REDUCE: (3200), (3374) imply:
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | | (3383) ~ (all_14_1 = unit)
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | |
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | | SIMP: (3383) implies:
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | | (3384) ~ (all_14_1 = unit)
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | |
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | | REDUCE: (3240), (3374) imply:
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | | (3385) ~ (unit = e2)
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | |
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | | REDUCE: (866), (3374) imply:
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | | (3386) ~ (unit = e1)
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | |
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | | REDUCE: (3362), (3374) imply:
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | | (3387) op(unit, e0) = all_65_30
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | |
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | | REDUCE: (724), (3373) imply:
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | | (3388) op(e2, unit) = all_65_25
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | |
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | | REDUCE: (758), (3373) imply:
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | | (3389) op(e0, unit) = all_65_67
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | |
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | | REDUCE: (755), (3374) imply:
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | | (3390) op(e0, unit) = all_65_61
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | |
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | | BETA: splitting (852) gives:
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | |
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | | Case 1:
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.01 | | | | | | | | | | | | | | | | | | | | | (3391) unit = e2
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | REDUCE: (3385), (3391) imply:
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | (3392) $false
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | CLOSE: (3392) is inconsistent.
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | Case 2:
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | (3393) unit = e1 | unit = e0
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3393) gives:
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | (3394) unit = e1
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3386), (3394) imply:
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | (3395) $false
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3395) is inconsistent.
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | (3396) unit = e0
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3375), (3396) imply:
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | (3397) ~ (all_61_2 = e0)
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3377), (3396) imply:
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | (3398) ~ (all_61_7 = e0)
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3378), (3396) imply:
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | (3399) ~ (all_61_8 = e0)
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3380), (3396) imply:
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | (3400) ~ (all_61_13 = e0)
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3382), (3396) imply:
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | (3401) ~ (all_42_1 = e0)
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3384), (3396) imply:
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | (3402) ~ (all_14_1 = e0)
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3387), (3396) imply:
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | (3403) op(e0, e0) = all_65_30
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3388), (3396) imply:
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | (3404) op(e2, e0) = all_65_25
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3390), (3396) imply:
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | (3405) op(e0, e0) = all_65_61
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3389), (3396) imply:
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | (3406) op(e0, e0) = all_65_67
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3), (3396) imply:
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | (3407) op(e0, e0) = e0
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (269) gives:
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | (3408) all_63_2 = e3
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (489), (3408) imply:
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | (3409) all_61_8 = e3
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (236), (3409) imply:
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | (3410) op(e3, e1) = e3
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (734), (3409) imply:
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | (3411) op(e1, e3) = all_65_34
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (263) gives:
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | (3412) all_63_8 = e3
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (499), (3412) imply:
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | (3413) all_61_2 = e3
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (668), (3413) imply:
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | (3414) op(e3, e1) = all_65_34
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (264) gives:
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | (3415) all_63_7 = e3
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (498), (3415) imply:
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | (3416) all_61_13 = e3
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (180), (3416) imply:
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | (3417) ~ (all_61_12 = e3)
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3351), (3416) imply:
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | (3418) ~ (all_42_1 = e3)
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3418) implies:
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | (3419) ~ (all_42_1 = e3)
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (664), (3416) imply:
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | (3420) op(e3, e1) = all_65_30
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3228), (3416) imply:
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | (3421) op(e3, e3) = all_65_19
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (739), (3416) imply:
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | (3422) op(e1, e3) = all_65_39
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3331) gives:
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | (3423) ~ (all_50_1 = e2)
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3345), (3423) imply:
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | (3424) ~ (all_42_1 = e2)
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (260), (3347), (3352), (3401), (3419), (3424) are
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #449.
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | (3425) all_50_1 = e2
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | (3426) ~ (all_50_0 = e3) & op(e2, e0) = all_50_0 &
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_50_0)
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3426) implies:
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | (3427) op(e2, e0) = all_50_0
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3345), (3425) imply:
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | (3428) all_42_1 = e2
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3428) implies:
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | (3429) all_42_1 = e2
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3353), (3429) imply:
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | (3430) op(e2, e2) = all_65_67
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3356), (3429) imply:
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | (3431) op(e2, e0) = e1
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (258) gives:
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3432) all_63_13 = e3
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (508), (3432) imply:
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3433) all_61_7 = e3
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3433) implies:
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3434) all_61_7 = e3
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3206), (3434) imply:
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3435) ~ (all_14_1 = e3)
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3435) implies:
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3436) ~ (all_14_1 = e3)
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (688), (3434) imply:
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3437) op(e3, e1) = all_65_61
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3363), (3434) imply:
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3438) op(e1, e3) = all_65_67
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (268) gives:
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3439) all_63_3 = e3
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (491), (3417), (3439) are inconsistent by
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #361.
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3440) all_63_3 = e2 | all_63_3 = e1 | all_63_3 = e0
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3440) gives:
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3441) all_63_3 = e2
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (491), (3160), (3441) are inconsistent by
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #492.
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3442) all_63_3 = e1 | all_63_3 = e0
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (270) gives:
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3443) all_63_1 = e3
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3194), (3443) imply:
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3444) all_14_1 = e3
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3436), (3444) imply:
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3445) $false
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3445) is inconsistent.
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3446) all_63_1 = e2 | all_63_1 = e1 | all_63_1 = e0
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3446) gives:
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3447) all_63_1 = e2
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3194), (3447) imply:
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3448) all_14_1 = e2
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3212), (3448) imply:
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3449) $false
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3449) is inconsistent.
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3450) all_63_1 = e1 | all_63_1 = e0
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3450) gives:
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3451) all_63_1 = e1
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3194), (3451) imply:
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3452) all_14_1 = e1
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3192), (3452) imply:
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3453) all_26_1 = e1
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3210), (3452) imply:
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3454) ~ (all_61_12 = e1)
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3174) gives:
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3455) ~ (all_26_1 = e1)
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3453), (3455) imply:
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3456) $false
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3456) is inconsistent.
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3457) ~ (all_26_0 = e0) & op(e1, e3) = all_26_0 &
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_26_0)
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3457) implies:
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3458) op(e1, e3) = all_26_0
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3442) gives:
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3459) all_63_3 = e1
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (491), (3454), (3459) are inconsistent by
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #491.
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3460) all_63_3 = e0
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (491), (3460) imply:
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3461) all_61_12 = e0
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3461) implies:
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3462) all_61_12 = e0
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3454), (3462) imply:
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3463) ~ (e1 = e0)
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (718), (3462) imply:
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3464) op(e2, e0) = all_65_19
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (752), (3462) imply:
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3465) op(e0, e0) = all_65_55
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_67, all_65_61, e0,
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, simplifying with (3405), (3406) gives:
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3466) all_65_61 = all_65_67
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_55, all_65_30, e0,
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, simplifying with (3403), (3465) gives:
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3467) all_65_30 = all_65_55
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e0, all_65_30, e0, e0,
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (3403), (3407) gives:
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3468) all_65_30 = e0
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_26_0, all_65_67, e3,
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, simplifying with (3438), (3458) gives:
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3469) all_65_67 = all_26_0
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_39, all_65_34, e3,
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, simplifying with (3411), (3422) gives:
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3470) all_65_34 = all_65_39
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_67, all_65_34, e3,
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, simplifying with (3411), (3438) gives:
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3471) all_65_34 = all_65_67
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_50_0, all_65_25, e0,
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, simplifying with (3404), (3427) gives:
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3472) all_65_25 = all_50_0
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e1, all_65_25, e0, e2,
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (3404), (3431) gives:
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3473) all_65_25 = e1
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_50_0, all_65_19, e0,
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, simplifying with (3427), (3464) gives:
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3474) all_65_19 = all_50_0
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e2, all_65_67, e2, e2,
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (3247), (3430) gives:
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3475) all_65_67 = e2
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e3, all_65_34, e1, e3,
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (3410), (3414) gives:
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3476) all_65_34 = e3
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_61, all_65_30, e1,
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, simplifying with (3420), (3437) gives:
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3477) all_65_30 = all_65_61
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e2, all_65_19, e3, e3,
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (3166), (3421) gives:
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3478) all_65_19 = e2
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3474), (3478) imply:
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3479) all_50_0 = e2
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3479) implies:
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3480) all_50_0 = e2
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3472), (3473) imply:
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3481) all_50_0 = e1
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3481) implies:
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3482) all_50_0 = e1
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3467), (3468) imply:
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3483) all_65_55 = e0
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3467), (3477) imply:
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3484) all_65_55 = all_65_61
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3470), (3476) imply:
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3485) all_65_39 = e3
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3470), (3471) imply:
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3486) all_65_39 = all_65_67
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3485), (3486) imply:
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3487) all_65_67 = e3
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3487) implies:
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3488) all_65_67 = e3
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3483), (3484) imply:
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3489) all_65_61 = e0
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3489) implies:
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3490) all_65_61 = e0
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3466), (3490) imply:
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3491) all_65_67 = e0
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3491) implies:
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3492) all_65_67 = e0
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3469), (3475) imply:
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3493) all_26_0 = e2
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3469), (3488) imply:
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3494) all_26_0 = e3
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3469), (3492) imply:
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3495) all_26_0 = e0
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3480), (3482) imply:
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3496) e2 = e1
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3496) implies:
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3497) e2 = e1
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3493), (3494) imply:
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3498) e3 = e2
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3494), (3495) imply:
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3499) e3 = e0
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3498), (3499) imply:
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3500) e2 = e0
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (3497), (3500) are inconsistent by sub-proof
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #360.
% 171.72/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 171.72/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 171.72/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 171.72/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3501) all_63_1 = e0
% 171.72/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3194), (3501) imply:
% 171.72/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3502) all_14_1 = e0
% 171.72/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3402), (3502) imply:
% 171.72/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3503) $false
% 171.72/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3503) is inconsistent.
% 171.72/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 171.72/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 171.72/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 171.72/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 171.72/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 171.72/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 171.72/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3504) all_63_13 = e2 | all_63_13 = e1 | all_63_13 = e0
% 171.72/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (508), (3239), (3319), (3398), (3504) are
% 171.72/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #444.
% 171.72/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 171.72/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 171.72/26.03 | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.03 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 171.72/26.03 | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | (3505) all_63_7 = e2 | all_63_7 = e1 | all_63_7 = e0
% 171.72/26.03 | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (498), (3241), (3320), (3400), (3505) are
% 171.72/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #474.
% 171.72/26.03 | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.03 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 171.72/26.03 | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.03 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 171.72/26.03 | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.03 | | | | | | | | | | | | | | | | | | | | | | | | (3506) all_63_8 = e2 | all_63_8 = e1 | all_63_8 = e0
% 171.72/26.03 | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.03 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (499), (863), (3156), (3397), (3506) are
% 171.72/26.03 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #386.
% 171.72/26.03 | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.03 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 171.72/26.03 | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.03 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 171.72/26.03 | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.03 | | | | | | | | | | | | | | | | | | | | | | | (3507) all_63_2 = e2 | all_63_2 = e1 | all_63_2 = e0
% 171.72/26.03 | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.03 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (489), (865), (3159), (3399), (3507) are
% 171.72/26.03 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #401.
% 171.72/26.03 | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.03 | | | | | | | | | | | | | | | | | | | | | | End of split
% 171.72/26.03 | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.03 | | | | | | | | | | | | | | | | | | | | | End of split
% 171.72/26.03 | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.03 | | | | | | | | | | | | | | | | | | | | End of split
% 171.72/26.03 | | | | | | | | | | | | | | | | | | | |
% 171.72/26.03 | | | | | | | | | | | | | | | | | | | End of split
% 171.72/26.03 | | | | | | | | | | | | | | | | | | |
% 171.72/26.03 | | | | | | | | | | | | | | | | | | End of split
% 171.72/26.03 | | | | | | | | | | | | | | | | | |
% 171.72/26.03 | | | | | | | | | | | | | | | | | End of split
% 171.72/26.03 | | | | | | | | | | | | | | | | |
% 171.72/26.03 | | | | | | | | | | | | | | | | Case 2:
% 171.72/26.03 | | | | | | | | | | | | | | | | |
% 171.72/26.03 | | | | | | | | | | | | | | | | | (3508) all_28_2 = e3
% 171.72/26.03 | | | | | | | | | | | | | | | | | (3509) op(e0, e3) = all_28_1 & $i(all_28_1) & ( ~
% 171.72/26.03 | | | | | | | | | | | | | | | | | (all_28_1 = e2) | ( ~ (all_28_0 = e1) & op(e2,
% 171.72/26.03 | | | | | | | | | | | | | | | | | e0) = all_28_0 & $i(all_28_0)))
% 171.72/26.03 | | | | | | | | | | | | | | | | |
% 171.72/26.03 | | | | | | | | | | | | | | | | | ALPHA: (3509) implies:
% 171.72/26.03 | | | | | | | | | | | | | | | | | (3510) op(e0, e3) = all_28_1
% 171.72/26.03 | | | | | | | | | | | | | | | | |
% 171.72/26.03 | | | | | | | | | | | | | | | | | COMBINE_EQS: (563), (3508) imply:
% 171.72/26.03 | | | | | | | | | | | | | | | | | (3511) all_20_2 = e3
% 171.72/26.03 | | | | | | | | | | | | | | | | |
% 171.72/26.03 | | | | | | | | | | | | | | | | | SIMP: (3511) implies:
% 171.72/26.03 | | | | | | | | | | | | | | | | | (3512) all_20_2 = e3
% 171.72/26.03 | | | | | | | | | | | | | | | | |
% 171.72/26.03 | | | | | | | | | | | | | | | | | COMBINE_EQS: (555), (3512) imply:
% 171.72/26.03 | | | | | | | | | | | | | | | | | (3513) all_34_2 = e3
% 171.72/26.03 | | | | | | | | | | | | | | | | |
% 171.72/26.03 | | | | | | | | | | | | | | | | | REDUCE: (617), (3512) imply:
% 171.72/26.03 | | | | | | | | | | | | | | | | | (3514) ~ (all_61_7 = e3)
% 171.72/26.03 | | | | | | | | | | | | | | | | |
% 171.72/26.03 | | | | | | | | | | | | | | | | | REDUCE: (695), (3512) imply:
% 171.72/26.03 | | | | | | | | | | | | | | | | | (3515) op(e3, e2) = all_65_75
% 171.72/26.03 | | | | | | | | | | | | | | | | |
% 171.72/26.03 | | | | | | | | | | | | | | | | | REDUCE: (697), (3512) imply:
% 171.72/26.03 | | | | | | | | | | | | | | | | | (3516) op(e3, e0) = all_65_78
% 171.72/26.03 | | | | | | | | | | | | | | | | |
% 171.72/26.03 | | | | | | | | | | | | | | | | | REDUCE: (764), (3512) imply:
% 171.72/26.03 | | | | | | | | | | | | | | | | | (3517) op(e0, e3) = all_65_78
% 171.72/26.03 | | | | | | | | | | | | | | | | |
% 171.72/26.03 | | | | | | | | | | | | | | | | | BETA: splitting (98) gives:
% 171.72/26.03 | | | | | | | | | | | | | | | | |
% 171.72/26.03 | | | | | | | | | | | | | | | | | Case 1:
% 171.72/26.03 | | | | | | | | | | | | | | | | | |
% 171.72/26.03 | | | | | | | | | | | | | | | | | | (3518) ~ (all_34_2 = e3)
% 171.72/26.03 | | | | | | | | | | | | | | | | | |
% 171.72/26.03 | | | | | | | | | | | | | | | | | | REDUCE: (3513), (3518) imply:
% 171.72/26.03 | | | | | | | | | | | | | | | | | | (3519) $false
% 171.72/26.03 | | | | | | | | | | | | | | | | | |
% 171.72/26.03 | | | | | | | | | | | | | | | | | | CLOSE: (3519) is inconsistent.
% 171.72/26.03 | | | | | | | | | | | | | | | | | |
% 171.72/26.03 | | | | | | | | | | | | | | | | | Case 2:
% 171.72/26.03 | | | | | | | | | | | | | | | | | |
% 171.72/26.03 | | | | | | | | | | | | | | | | | | (3520) op(e0, e3) = all_34_1 & $i(all_34_1) & ( ~
% 171.72/26.03 | | | | | | | | | | | | | | | | | | (all_34_1 = e1) | ( ~ (all_34_0 = e2) & op(e1,
% 171.72/26.03 | | | | | | | | | | | | | | | | | | e0) = all_34_0 & $i(all_34_0)))
% 171.72/26.03 | | | | | | | | | | | | | | | | | |
% 171.72/26.03 | | | | | | | | | | | | | | | | | | ALPHA: (3520) implies:
% 171.72/26.03 | | | | | | | | | | | | | | | | | | (3521) op(e0, e3) = all_34_1
% 171.72/26.03 | | | | | | | | | | | | | | | | | |
% 171.72/26.03 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_3, all_28_1, e3,
% 171.72/26.03 | | | | | | | | | | | | | | | | | | e0, simplifying with (226), (3510) gives:
% 171.72/26.03 | | | | | | | | | | | | | | | | | | (3522) all_61_3 = all_28_1
% 171.72/26.03 | | | | | | | | | | | | | | | | | |
% 171.72/26.03 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_3, all_65_78, e3,
% 171.72/26.03 | | | | | | | | | | | | | | | | | | e0, simplifying with (226), (3517) gives:
% 171.72/26.03 | | | | | | | | | | | | | | | | | | (3523) all_65_78 = all_61_3
% 171.72/26.03 | | | | | | | | | | | | | | | | | |
% 171.72/26.03 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_34_1, all_65_78, e3,
% 171.72/26.03 | | | | | | | | | | | | | | | | | | e0, simplifying with (3517), (3521) gives:
% 171.72/26.03 | | | | | | | | | | | | | | | | | | (3524) all_65_78 = all_34_1
% 171.72/26.03 | | | | | | | | | | | | | | | | | |
% 171.72/26.03 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_12, all_65_78, e0,
% 171.72/26.03 | | | | | | | | | | | | | | | | | | e3, simplifying with (235), (3516) gives:
% 171.72/26.03 | | | | | | | | | | | | | | | | | | (3525) all_65_78 = all_61_12
% 171.72/26.03 | | | | | | | | | | | | | | | | | |
% 171.72/26.03 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_14_1, all_65_75, e2,
% 171.72/26.03 | | | | | | | | | | | | | | | | | | e3, simplifying with (3154), (3515) gives:
% 171.72/26.03 | | | | | | | | | | | | | | | | | | (3526) all_65_75 = all_14_1
% 171.72/26.03 | | | | | | | | | | | | | | | | | |
% 171.72/26.03 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3524), (3525) imply:
% 171.72/26.03 | | | | | | | | | | | | | | | | | | (3527) all_61_12 = all_34_1
% 171.72/26.03 | | | | | | | | | | | | | | | | | |
% 171.72/26.03 | | | | | | | | | | | | | | | | | | SIMP: (3527) implies:
% 171.72/26.03 | | | | | | | | | | | | | | | | | | (3528) all_61_12 = all_34_1
% 171.72/26.03 | | | | | | | | | | | | | | | | | |
% 171.72/26.03 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3523), (3524) imply:
% 171.72/26.03 | | | | | | | | | | | | | | | | | | (3529) all_61_3 = all_34_1
% 171.72/26.03 | | | | | | | | | | | | | | | | | |
% 171.72/26.03 | | | | | | | | | | | | | | | | | | SIMP: (3529) implies:
% 171.72/26.03 | | | | | | | | | | | | | | | | | | (3530) all_61_3 = all_34_1
% 171.72/26.03 | | | | | | | | | | | | | | | | | |
% 171.72/26.03 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3522), (3530) imply:
% 171.72/26.03 | | | | | | | | | | | | | | | | | | (3531) all_34_1 = all_28_1
% 171.72/26.03 | | | | | | | | | | | | | | | | | |
% 171.72/26.03 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3528), (3531) imply:
% 171.72/26.03 | | | | | | | | | | | | | | | | | | (3532) all_61_12 = all_28_1
% 171.72/26.03 | | | | | | | | | | | | | | | | | |
% 171.72/26.03 | | | | | | | | | | | | | | | | | | REDUCE: (3216), (3522) imply:
% 171.72/26.03 | | | | | | | | | | | | | | | | | | (3533) op(all_28_1, e3) = all_61_7
% 171.72/26.03 | | | | | | | | | | | | | | | | | |
% 171.72/26.03 | | | | | | | | | | | | | | | | | | REDUCE: (646), (3532) imply:
% 171.72/26.03 | | | | | | | | | | | | | | | | | | (3534) op(all_28_1, e3) = all_65_12
% 171.72/26.03 | | | | | | | | | | | | | | | | | |
% 171.72/26.03 | | | | | | | | | | | | | | | | | | REDUCE: (710), (3522) imply:
% 171.72/26.03 | | | | | | | | | | | | | | | | | | (3535) op(e3, all_28_1) = all_65_12
% 171.72/26.03 | | | | | | | | | | | | | | | | | |
% 171.72/26.03 | | | | | | | | | | | | | | | | | | REDUCE: (3220), (3532) imply:
% 171.72/26.03 | | | | | | | | | | | | | | | | | | (3536) op(e3, all_28_1) = all_61_13
% 171.72/26.03 | | | | | | | | | | | | | | | | | |
% 171.72/26.03 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_13, all_65_12,
% 171.72/26.03 | | | | | | | | | | | | | | | | | | all_28_1, e3, simplifying with (3535), (3536)
% 171.72/26.03 | | | | | | | | | | | | | | | | | | gives:
% 171.72/26.03 | | | | | | | | | | | | | | | | | | (3537) all_65_12 = all_61_13
% 171.72/26.03 | | | | | | | | | | | | | | | | | |
% 171.72/26.03 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_7, all_65_12, e3,
% 171.72/26.03 | | | | | | | | | | | | | | | | | | all_28_1, simplifying with (3533), (3534) gives:
% 171.72/26.03 | | | | | | | | | | | | | | | | | | (3538) all_65_12 = all_61_7
% 171.72/26.03 | | | | | | | | | | | | | | | | | |
% 171.72/26.03 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3537), (3538) imply:
% 171.72/26.03 | | | | | | | | | | | | | | | | | | (3539) all_61_7 = all_61_13
% 171.72/26.03 | | | | | | | | | | | | | | | | | |
% 171.72/26.03 | | | | | | | | | | | | | | | | | | REDUCE: (3514), (3539) imply:
% 171.72/26.03 | | | | | | | | | | | | | | | | | | (3540) ~ (all_61_13 = e3)
% 171.72/26.03 | | | | | | | | | | | | | | | | | |
% 171.72/26.03 | | | | | | | | | | | | | | | | | | BETA: splitting (161) gives:
% 171.72/26.03 | | | | | | | | | | | | | | | | | |
% 171.72/26.03 | | | | | | | | | | | | | | | | | | Case 1:
% 171.72/26.03 | | | | | | | | | | | | | | | | | | |
% 171.72/26.03 | | | | | | | | | | | | | | | | | | | (3541) ~ (all_58_2 = e2)
% 171.72/26.03 | | | | | | | | | | | | | | | | | | |
% 171.72/26.03 | | | | | | | | | | | | | | | | | | | REDUCE: (478), (3541) imply:
% 171.72/26.03 | | | | | | | | | | | | | | | | | | | (3542) ~ (all_52_2 = e2)
% 171.72/26.03 | | | | | | | | | | | | | | | | | | |
% 171.72/26.04 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (10), (50), (150), (158), (163), (164),
% 171.72/26.04 | | | | | | | | | | | | | | | | | | | (165), (225), (231), (232), (475), (478), (481),
% 171.72/26.04 | | | | | | | | | | | | | | | | | | | (484), (536), (628), (663), (714), (731), (765),
% 171.72/26.04 | | | | | | | | | | | | | | | | | | | (866), (3154), (3241), (3242), (3247), (3256),
% 171.72/26.04 | | | | | | | | | | | | | | | | | | | (3542) are inconsistent by sub-proof #363.
% 171.72/26.04 | | | | | | | | | | | | | | | | | | |
% 171.72/26.04 | | | | | | | | | | | | | | | | | | Case 2:
% 171.72/26.04 | | | | | | | | | | | | | | | | | | |
% 171.72/26.04 | | | | | | | | | | | | | | | | | | | (3543) all_58_1 = e1
% 171.72/26.04 | | | | | | | | | | | | | | | | | | |
% 171.72/26.04 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (481), (3543) imply:
% 171.72/26.04 | | | | | | | | | | | | | | | | | | | (3544) all_52_1 = e1
% 171.72/26.04 | | | | | | | | | | | | | | | | | | |
% 171.72/26.04 | | | | | | | | | | | | | | | | | | | SIMP: (3544) implies:
% 171.72/26.04 | | | | | | | | | | | | | | | | | | | (3545) all_52_1 = e1
% 171.72/26.04 | | | | | | | | | | | | | | | | | | |
% 171.72/26.04 | | | | | | | | | | | | | | | | | | | REDUCE: (731), (3545) imply:
% 171.72/26.04 | | | | | | | | | | | | | | | | | | | (3546) op(e2, e1) = unit
% 171.72/26.04 | | | | | | | | | | | | | | | | | | |
% 171.72/26.04 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_9, unit, e1, e2,
% 171.72/26.04 | | | | | | | | | | | | | | | | | | | simplifying with (232), (3546) gives:
% 171.72/26.04 | | | | | | | | | | | | | | | | | | | (3547) all_61_9 = unit
% 171.72/26.04 | | | | | | | | | | | | | | | | | | |
% 171.72/26.04 | | | | | | | | | | | | | | | | | | | REDUCE: (190), (3547) imply:
% 171.72/26.04 | | | | | | | | | | | | | | | | | | | (3548) ~ (all_61_8 = unit)
% 171.72/26.04 | | | | | | | | | | | | | | | | | | |
% 171.72/26.04 | | | | | | | | | | | | | | | | | | | REDUCE: (184), (3547) imply:
% 171.72/26.04 | | | | | | | | | | | | | | | | | | | (3549) ~ (all_61_13 = unit)
% 171.72/26.04 | | | | | | | | | | | | | | | | | | |
% 171.72/26.04 | | | | | | | | | | | | | | | | | | | SIMP: (3549) implies:
% 171.72/26.04 | | | | | | | | | | | | | | | | | | | (3550) ~ (all_61_13 = unit)
% 171.72/26.04 | | | | | | | | | | | | | | | | | | |
% 171.72/26.04 | | | | | | | | | | | | | | | | | | | REDUCE: (3200), (3547) imply:
% 171.72/26.04 | | | | | | | | | | | | | | | | | | | (3551) ~ (all_14_1 = unit)
% 171.72/26.04 | | | | | | | | | | | | | | | | | | |
% 171.72/26.04 | | | | | | | | | | | | | | | | | | | SIMP: (3551) implies:
% 171.72/26.04 | | | | | | | | | | | | | | | | | | | (3552) ~ (all_14_1 = unit)
% 171.72/26.04 | | | | | | | | | | | | | | | | | | |
% 171.72/26.04 | | | | | | | | | | | | | | | | | | | REDUCE: (3240), (3547) imply:
% 171.72/26.04 | | | | | | | | | | | | | | | | | | | (3553) ~ (unit = e2)
% 171.72/26.04 | | | | | | | | | | | | | | | | | | |
% 171.72/26.04 | | | | | | | | | | | | | | | | | | | REDUCE: (866), (3547) imply:
% 171.72/26.04 | | | | | | | | | | | | | | | | | | | (3554) ~ (unit = e1)
% 171.72/26.04 | | | | | | | | | | | | | | | | | | |
% 171.72/26.04 | | | | | | | | | | | | | | | | | | | BETA: splitting (852) gives:
% 171.72/26.04 | | | | | | | | | | | | | | | | | | |
% 171.72/26.04 | | | | | | | | | | | | | | | | | | | Case 1:
% 171.72/26.04 | | | | | | | | | | | | | | | | | | | |
% 171.72/26.04 | | | | | | | | | | | | | | | | | | | | (3555) unit = e2
% 171.72/26.04 | | | | | | | | | | | | | | | | | | | |
% 171.72/26.04 | | | | | | | | | | | | | | | | | | | | REDUCE: (3553), (3555) imply:
% 171.72/26.04 | | | | | | | | | | | | | | | | | | | | (3556) $false
% 171.72/26.04 | | | | | | | | | | | | | | | | | | | |
% 171.72/26.04 | | | | | | | | | | | | | | | | | | | | CLOSE: (3556) is inconsistent.
% 171.72/26.04 | | | | | | | | | | | | | | | | | | | |
% 171.72/26.04 | | | | | | | | | | | | | | | | | | | Case 2:
% 171.72/26.04 | | | | | | | | | | | | | | | | | | | |
% 171.72/26.04 | | | | | | | | | | | | | | | | | | | | (3557) unit = e1 | unit = e0
% 171.72/26.04 | | | | | | | | | | | | | | | | | | | |
% 171.72/26.04 | | | | | | | | | | | | | | | | | | | | BETA: splitting (3557) gives:
% 171.72/26.04 | | | | | | | | | | | | | | | | | | | |
% 171.72/26.04 | | | | | | | | | | | | | | | | | | | | Case 1:
% 171.72/26.04 | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.04 | | | | | | | | | | | | | | | | | | | | | (3558) unit = e1
% 171.72/26.04 | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.04 | | | | | | | | | | | | | | | | | | | | | REDUCE: (3554), (3558) imply:
% 171.72/26.04 | | | | | | | | | | | | | | | | | | | | | (3559) $false
% 171.72/26.04 | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.04 | | | | | | | | | | | | | | | | | | | | | CLOSE: (3559) is inconsistent.
% 171.72/26.04 | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.04 | | | | | | | | | | | | | | | | | | | | Case 2:
% 171.72/26.04 | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.04 | | | | | | | | | | | | | | | | | | | | | (3560) unit = e0
% 171.72/26.04 | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.04 | | | | | | | | | | | | | | | | | | | | | REDUCE: (3548), (3560) imply:
% 171.72/26.04 | | | | | | | | | | | | | | | | | | | | | (3561) ~ (all_61_8 = e0)
% 171.72/26.04 | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.04 | | | | | | | | | | | | | | | | | | | | | REDUCE: (3550), (3560) imply:
% 171.72/26.04 | | | | | | | | | | | | | | | | | | | | | (3562) ~ (all_61_13 = e0)
% 171.72/26.04 | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.04 | | | | | | | | | | | | | | | | | | | | | REDUCE: (3552), (3560) imply:
% 171.72/26.04 | | | | | | | | | | | | | | | | | | | | | (3563) ~ (all_14_1 = e0)
% 171.72/26.04 | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.04 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (269) gives:
% 171.72/26.04 | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.04 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 171.72/26.04 | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.04 | | | | | | | | | | | | | | | | | | | | | | (3564) all_63_2 = e3
% 171.72/26.04 | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.04 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (489), (3564) imply:
% 171.72/26.04 | | | | | | | | | | | | | | | | | | | | | | (3565) all_61_8 = e3
% 171.72/26.04 | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.04 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3208), (3565) imply:
% 171.72/26.04 | | | | | | | | | | | | | | | | | | | | | | (3566) ~ (all_14_1 = e3)
% 171.72/26.04 | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.04 | | | | | | | | | | | | | | | | | | | | | | SIMP: (3566) implies:
% 171.72/26.04 | | | | | | | | | | | | | | | | | | | | | | (3567) ~ (all_14_1 = e3)
% 171.72/26.04 | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.04 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (264) gives:
% 171.72/26.04 | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.04 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 171.72/26.04 | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.04 | | | | | | | | | | | | | | | | | | | | | | | (3568) all_63_7 = e3
% 171.72/26.04 | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.04 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (498), (3568) imply:
% 171.72/26.04 | | | | | | | | | | | | | | | | | | | | | | | (3569) all_61_13 = e3
% 171.72/26.04 | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.04 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3540), (3569) imply:
% 171.72/26.04 | | | | | | | | | | | | | | | | | | | | | | | (3570) $false
% 171.72/26.04 | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.04 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3570) is inconsistent.
% 171.72/26.04 | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.04 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 171.72/26.04 | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.04 | | | | | | | | | | | | | | | | | | | | | | | (3571) all_63_7 = e2 | all_63_7 = e1 | all_63_7 = e0
% 171.72/26.04 | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.04 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3571) gives:
% 171.72/26.04 | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.04 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 171.72/26.04 | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.04 | | | | | | | | | | | | | | | | | | | | | | | | (3572) all_63_7 = e2
% 171.72/26.04 | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.04 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (498), (3572) imply:
% 171.72/26.04 | | | | | | | | | | | | | | | | | | | | | | | | (3573) all_61_13 = e2
% 171.72/26.04 | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.04 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3241), (3573) imply:
% 171.72/26.04 | | | | | | | | | | | | | | | | | | | | | | | | (3574) $false
% 171.72/26.04 | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.04 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3574) is inconsistent.
% 171.72/26.04 | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.04 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 171.72/26.04 | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.04 | | | | | | | | | | | | | | | | | | | | | | | | (3575) all_63_7 = e1 | all_63_7 = e0
% 171.72/26.04 | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.04 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (267) gives:
% 171.72/26.04 | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.04 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 171.72/26.04 | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | (3576) all_63_4 = e3
% 171.72/26.04 | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3193), (3576) imply:
% 171.72/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | (3577) all_14_1 = e3
% 171.72/26.04 | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3567), (3577) imply:
% 171.72/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | (3578) $false
% 171.72/26.04 | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3578) is inconsistent.
% 171.72/26.04 | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.04 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 171.72/26.04 | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | (3579) all_63_4 = e2 | all_63_4 = e1 | all_63_4 = e0
% 171.72/26.04 | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (498), (3193), (3202), (3212), (3562), (3563),
% 171.72/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | (3575), (3579) are inconsistent by sub-proof #359.
% 171.72/26.04 | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.04 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 171.72/26.04 | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.04 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 171.72/26.04 | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.04 | | | | | | | | | | | | | | | | | | | | | | End of split
% 171.72/26.04 | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.04 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 171.72/26.04 | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.04 | | | | | | | | | | | | | | | | | | | | | | (3580) all_63_2 = e2 | all_63_2 = e1 | all_63_2 = e0
% 171.72/26.04 | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.04 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (489), (865), (3159), (3561), (3580) are
% 171.72/26.04 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #401.
% 171.72/26.04 | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.04 | | | | | | | | | | | | | | | | | | | | | End of split
% 171.72/26.04 | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.04 | | | | | | | | | | | | | | | | | | | | End of split
% 171.72/26.04 | | | | | | | | | | | | | | | | | | | |
% 171.72/26.04 | | | | | | | | | | | | | | | | | | | End of split
% 171.72/26.04 | | | | | | | | | | | | | | | | | | |
% 171.72/26.04 | | | | | | | | | | | | | | | | | | End of split
% 171.72/26.04 | | | | | | | | | | | | | | | | | |
% 171.72/26.04 | | | | | | | | | | | | | | | | | End of split
% 171.72/26.04 | | | | | | | | | | | | | | | | |
% 171.72/26.04 | | | | | | | | | | | | | | | | End of split
% 171.72/26.04 | | | | | | | | | | | | | | | |
% 171.72/26.04 | | | | | | | | | | | | | | | Case 2:
% 171.72/26.04 | | | | | | | | | | | | | | | |
% 171.72/26.04 | | | | | | | | | | | | | | | | (3581) all_63_5 = e1 | all_63_5 = e0
% 171.72/26.04 | | | | | | | | | | | | | | | |
% 171.72/26.04 | | | | | | | | | | | | | | | | REF_CLOSE: (587), (889), (3232), (3581) are inconsistent by
% 171.72/26.04 | | | | | | | | | | | | | | | | sub-proof #524.
% 171.72/26.04 | | | | | | | | | | | | | | | |
% 171.72/26.04 | | | | | | | | | | | | | | | End of split
% 171.72/26.04 | | | | | | | | | | | | | | |
% 171.72/26.04 | | | | | | | | | | | | | | End of split
% 171.72/26.04 | | | | | | | | | | | | | |
% 171.72/26.04 | | | | | | | | | | | | | Case 2:
% 171.72/26.04 | | | | | | | | | | | | | |
% 171.72/26.04 | | | | | | | | | | | | | | (3582) all_22_2 = e0
% 171.72/26.04 | | | | | | | | | | | | | | (3583) op(e2, e0) = all_22_1 & $i(all_22_1) & ( ~
% 171.72/26.04 | | | | | | | | | | | | | | (all_22_1 = e1) | ( ~ (all_22_0 = e3) & op(e1,
% 171.72/26.04 | | | | | | | | | | | | | | e2) = all_22_0 & $i(all_22_0)))
% 171.72/26.04 | | | | | | | | | | | | | |
% 171.72/26.04 | | | | | | | | | | | | | | ALPHA: (3583) implies:
% 171.72/26.04 | | | | | | | | | | | | | | (3584) op(e2, e0) = all_22_1
% 171.72/26.04 | | | | | | | | | | | | | |
% 171.72/26.04 | | | | | | | | | | | | | | COMBINE_EQS: (449), (3582) imply:
% 171.72/26.04 | | | | | | | | | | | | | | (3585) all_6_2 = e0
% 171.72/26.04 | | | | | | | | | | | | | |
% 171.72/26.04 | | | | | | | | | | | | | | COMBINE_EQS: (580), (3585) imply:
% 171.72/26.04 | | | | | | | | | | | | | | (3586) all_38_2 = e0
% 171.72/26.04 | | | | | | | | | | | | | |
% 171.72/26.04 | | | | | | | | | | | | | | REDUCE: (609), (3585) imply:
% 171.72/26.04 | | | | | | | | | | | | | | (3587) ~ (all_61_6 = e0)
% 171.72/26.04 | | | | | | | | | | | | | |
% 171.72/26.04 | | | | | | | | | | | | | | REDUCE: (613), (3585) imply:
% 171.72/26.04 | | | | | | | | | | | | | | (3588) ~ (all_61_9 = e0)
% 171.72/26.04 | | | | | | | | | | | | | |
% 171.72/26.04 | | | | | | | | | | | | | | REDUCE: (615), (3585) imply:
% 171.72/26.04 | | | | | | | | | | | | | | (3589) ~ (all_61_13 = e0)
% 171.72/26.04 | | | | | | | | | | | | | |
% 171.72/26.04 | | | | | | | | | | | | | | REDUCE: (3211), (3585) imply:
% 171.72/26.04 | | | | | | | | | | | | | | (3590) ~ (all_14_1 = e0)
% 171.72/26.04 | | | | | | | | | | | | | |
% 171.72/26.04 | | | | | | | | | | | | | | REDUCE: (654), (3585) imply:
% 171.72/26.04 | | | | | | | | | | | | | | (3591) op(e0, e3) = all_65_20
% 171.72/26.04 | | | | | | | | | | | | | |
% 171.72/26.04 | | | | | | | | | | | | | | REDUCE: (655), (3585) imply:
% 171.72/26.04 | | | | | | | | | | | | | | (3592) op(e0, e2) = all_65_21
% 171.72/26.04 | | | | | | | | | | | | | |
% 171.72/26.04 | | | | | | | | | | | | | | REDUCE: (656), (3585) imply:
% 171.72/26.04 | | | | | | | | | | | | | | (3593) op(e0, e1) = all_65_22
% 171.72/26.04 | | | | | | | | | | | | | |
% 171.72/26.04 | | | | | | | | | | | | | | REDUCE: (657), (3585) imply:
% 171.72/26.04 | | | | | | | | | | | | | | (3594) op(e0, e0) = all_65_23
% 171.72/26.04 | | | | | | | | | | | | | |
% 171.72/26.04 | | | | | | | | | | | | | | REDUCE: (3229), (3585) imply:
% 171.72/26.04 | | | | | | | | | | | | | | (3595) op(e3, e0) = all_65_20
% 171.72/26.04 | | | | | | | | | | | | | |
% 171.72/26.04 | | | | | | | | | | | | | | REDUCE: (720), (3585) imply:
% 171.72/26.04 | | | | | | | | | | | | | | (3596) op(e2, e0) = all_65_21
% 171.72/26.04 | | | | | | | | | | | | | |
% 171.72/26.04 | | | | | | | | | | | | | | REDUCE: (55), (3585) imply:
% 171.72/26.04 | | | | | | | | | | | | | | (3597) op(e2, e2) = e0
% 171.72/26.04 | | | | | | | | | | | | | |
% 171.72/26.04 | | | | | | | | | | | | | | REDUCE: (737), (3585) imply:
% 171.72/26.04 | | | | | | | | | | | | | | (3598) op(e1, e0) = all_65_37
% 171.72/26.04 | | | | | | | | | | | | | |
% 171.72/26.04 | | | | | | | | | | | | | | REDUCE: (754), (3585) imply:
% 171.72/26.04 | | | | | | | | | | | | | | (3599) op(e0, e0) = all_65_59
% 171.72/26.04 | | | | | | | | | | | | | |
% 171.72/26.04 | | | | | | | | | | | | | | BETA: splitting (104) gives:
% 171.72/26.04 | | | | | | | | | | | | | |
% 171.72/26.04 | | | | | | | | | | | | | | Case 1:
% 171.72/26.04 | | | | | | | | | | | | | | |
% 171.72/26.04 | | | | | | | | | | | | | | | (3600) ~ (all_38_2 = e0)
% 171.72/26.04 | | | | | | | | | | | | | | |
% 171.72/26.04 | | | | | | | | | | | | | | | REDUCE: (3586), (3600) imply:
% 171.72/26.04 | | | | | | | | | | | | | | | (3601) $false
% 171.72/26.04 | | | | | | | | | | | | | | |
% 171.72/26.04 | | | | | | | | | | | | | | | CLOSE: (3601) is inconsistent.
% 171.72/26.04 | | | | | | | | | | | | | | |
% 171.72/26.04 | | | | | | | | | | | | | | Case 2:
% 171.72/26.04 | | | | | | | | | | | | | | |
% 171.72/26.04 | | | | | | | | | | | | | | | (3602) op(e2, e0) = all_38_1 & $i(all_38_1) & ( ~
% 171.72/26.04 | | | | | | | | | | | | | | | (all_38_1 = e3) | ( ~ (all_38_0 = e1) & op(e3,
% 171.72/26.04 | | | | | | | | | | | | | | | e2) = all_38_0 & $i(all_38_0)))
% 171.72/26.04 | | | | | | | | | | | | | | |
% 171.72/26.04 | | | | | | | | | | | | | | | ALPHA: (3602) implies:
% 171.72/26.04 | | | | | | | | | | | | | | | (3603) op(e2, e0) = all_38_1
% 171.72/26.04 | | | | | | | | | | | | | | |
% 171.72/26.04 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_20_2, all_65_23, e0,
% 171.72/26.04 | | | | | | | | | | | | | | | e0, simplifying with (76), (3594) gives:
% 171.72/26.04 | | | | | | | | | | | | | | | (3604) all_65_23 = all_20_2
% 171.72/26.04 | | | | | | | | | | | | | | |
% 171.72/26.04 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_59, all_65_23, e0,
% 171.72/26.04 | | | | | | | | | | | | | | | e0, simplifying with (3594), (3599) gives:
% 171.72/26.04 | | | | | | | | | | | | | | | (3605) all_65_23 = all_65_59
% 171.72/26.04 | | | | | | | | | | | | | | |
% 171.72/26.04 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_11, all_65_22, e1,
% 171.72/26.04 | | | | | | | | | | | | | | | e0, simplifying with (224), (3593) gives:
% 171.72/26.04 | | | | | | | | | | | | | | | (3606) all_65_22 = all_61_11
% 171.72/26.04 | | | | | | | | | | | | | | |
% 171.72/26.04 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_7, all_65_21, e2,
% 171.72/26.04 | | | | | | | | | | | | | | | e0, simplifying with (225), (3592) gives:
% 171.72/26.04 | | | | | | | | | | | | | | | (3607) all_65_21 = all_61_7
% 171.72/26.04 | | | | | | | | | | | | | | |
% 171.72/26.04 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_3, all_65_20, e3,
% 171.72/26.04 | | | | | | | | | | | | | | | e0, simplifying with (226), (3591) gives:
% 171.72/26.04 | | | | | | | | | | | | | | | (3608) all_65_20 = all_61_3
% 171.72/26.04 | | | | | | | | | | | | | | |
% 171.72/26.04 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_14, all_65_37, e0,
% 171.72/26.04 | | | | | | | | | | | | | | | e1, simplifying with (227), (3598) gives:
% 171.72/26.04 | | | | | | | | | | | | | | | (3609) all_65_37 = all_61_14
% 171.72/26.04 | | | | | | | | | | | | | | |
% 171.72/26.04 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_13, all_38_1, e0,
% 171.72/26.04 | | | | | | | | | | | | | | | e2, simplifying with (231), (3603) gives:
% 171.72/26.04 | | | | | | | | | | | | | | | (3610) all_61_13 = all_38_1
% 171.72/26.04 | | | | | | | | | | | | | | |
% 171.72/26.04 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_13, all_65_21, e0,
% 171.72/26.04 | | | | | | | | | | | | | | | e2, simplifying with (231), (3596) gives:
% 171.72/26.04 | | | | | | | | | | | | | | | (3611) all_65_21 = all_61_13
% 171.72/26.04 | | | | | | | | | | | | | | |
% 171.72/26.04 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_22_1, all_65_21, e0,
% 171.72/26.04 | | | | | | | | | | | | | | | e2, simplifying with (3584), (3596) gives:
% 171.72/26.04 | | | | | | | | | | | | | | | (3612) all_65_21 = all_22_1
% 171.72/26.04 | | | | | | | | | | | | | | |
% 171.72/26.04 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_12, all_65_20, e0,
% 171.72/26.04 | | | | | | | | | | | | | | | e3, simplifying with (235), (3595) gives:
% 171.72/26.04 | | | | | | | | | | | | | | | (3613) all_65_20 = all_61_12
% 171.72/26.04 | | | | | | | | | | | | | | |
% 171.72/26.04 | | | | | | | | | | | | | | | COMBINE_EQS: (3608), (3613) imply:
% 171.72/26.05 | | | | | | | | | | | | | | | (3614) all_61_3 = all_61_12
% 171.72/26.05 | | | | | | | | | | | | | | |
% 171.72/26.05 | | | | | | | | | | | | | | | SIMP: (3614) implies:
% 171.72/26.05 | | | | | | | | | | | | | | | (3615) all_61_3 = all_61_12
% 171.72/26.05 | | | | | | | | | | | | | | |
% 171.72/26.05 | | | | | | | | | | | | | | | COMBINE_EQS: (3607), (3612) imply:
% 171.72/26.05 | | | | | | | | | | | | | | | (3616) all_61_7 = all_22_1
% 171.72/26.05 | | | | | | | | | | | | | | |
% 171.72/26.05 | | | | | | | | | | | | | | | SIMP: (3616) implies:
% 171.72/26.05 | | | | | | | | | | | | | | | (3617) all_61_7 = all_22_1
% 171.72/26.05 | | | | | | | | | | | | | | |
% 171.72/26.05 | | | | | | | | | | | | | | | COMBINE_EQS: (3611), (3612) imply:
% 171.72/26.05 | | | | | | | | | | | | | | | (3618) all_61_13 = all_22_1
% 171.72/26.05 | | | | | | | | | | | | | | |
% 171.72/26.05 | | | | | | | | | | | | | | | SIMP: (3618) implies:
% 171.72/26.05 | | | | | | | | | | | | | | | (3619) all_61_13 = all_22_1
% 171.72/26.05 | | | | | | | | | | | | | | |
% 171.72/26.05 | | | | | | | | | | | | | | | COMBINE_EQS: (3604), (3605) imply:
% 171.72/26.05 | | | | | | | | | | | | | | | (3620) all_65_59 = all_20_2
% 171.72/26.05 | | | | | | | | | | | | | | |
% 171.72/26.05 | | | | | | | | | | | | | | | SIMP: (3620) implies:
% 171.72/26.05 | | | | | | | | | | | | | | | (3621) all_65_59 = all_20_2
% 171.72/26.05 | | | | | | | | | | | | | | |
% 171.72/26.05 | | | | | | | | | | | | | | | COMBINE_EQS: (3610), (3619) imply:
% 171.72/26.05 | | | | | | | | | | | | | | | (3622) all_38_1 = all_22_1
% 171.72/26.05 | | | | | | | | | | | | | | |
% 171.72/26.05 | | | | | | | | | | | | | | | COMBINE_EQS: (508), (3617) imply:
% 171.72/26.05 | | | | | | | | | | | | | | | (3623) all_63_13 = all_22_1
% 171.72/26.05 | | | | | | | | | | | | | | |
% 171.72/26.05 | | | | | | | | | | | | | | | COMBINE_EQS: (506), (3615) imply:
% 171.72/26.05 | | | | | | | | | | | | | | | (3624) all_63_12 = all_61_12
% 171.72/26.05 | | | | | | | | | | | | | | |
% 171.72/26.05 | | | | | | | | | | | | | | | COMBINE_EQS: (498), (3619) imply:
% 171.72/26.05 | | | | | | | | | | | | | | | (3625) all_63_7 = all_22_1
% 171.72/26.05 | | | | | | | | | | | | | | |
% 171.72/26.05 | | | | | | | | | | | | | | | REDUCE: (211), (3615) imply:
% 171.72/26.05 | | | | | | | | | | | | | | | (3626) ~ (all_61_2 = all_61_12)
% 171.72/26.05 | | | | | | | | | | | | | | |
% 171.72/26.05 | | | | | | | | | | | | | | | REDUCE: (206), (3615) imply:
% 171.72/26.05 | | | | | | | | | | | | | | | (3627) ~ (all_61_11 = all_61_12)
% 171.72/26.05 | | | | | | | | | | | | | | |
% 171.72/26.05 | | | | | | | | | | | | | | | SIMP: (3627) implies:
% 171.72/26.05 | | | | | | | | | | | | | | | (3628) ~ (all_61_11 = all_61_12)
% 171.72/26.05 | | | | | | | | | | | | | | |
% 171.72/26.05 | | | | | | | | | | | | | | | REDUCE: (195), (3617) imply:
% 171.72/26.05 | | | | | | | | | | | | | | | (3629) ~ (all_61_6 = all_22_1)
% 171.72/26.05 | | | | | | | | | | | | | | |
% 171.72/26.05 | | | | | | | | | | | | | | | REDUCE: (192), (3617) imply:
% 171.72/26.05 | | | | | | | | | | | | | | | (3630) ~ (all_61_11 = all_22_1)
% 171.72/26.05 | | | | | | | | | | | | | | |
% 171.72/26.05 | | | | | | | | | | | | | | | SIMP: (3630) implies:
% 171.72/26.05 | | | | | | | | | | | | | | | (3631) ~ (all_61_11 = all_22_1)
% 171.72/26.05 | | | | | | | | | | | | | | |
% 171.72/26.05 | | | | | | | | | | | | | | | REDUCE: (184), (3619) imply:
% 171.72/26.05 | | | | | | | | | | | | | | | (3632) ~ (all_61_9 = all_22_1)
% 171.72/26.05 | | | | | | | | | | | | | | |
% 171.72/26.05 | | | | | | | | | | | | | | | REDUCE: (180), (3619) imply:
% 171.72/26.05 | | | | | | | | | | | | | | | (3633) ~ (all_61_12 = all_22_1)
% 171.72/26.05 | | | | | | | | | | | | | | |
% 171.72/26.05 | | | | | | | | | | | | | | | REDUCE: (177), (3619) imply:
% 171.72/26.05 | | | | | | | | | | | | | | | (3634) ~ (all_61_14 = all_22_1)
% 171.72/26.05 | | | | | | | | | | | | | | |
% 171.72/26.05 | | | | | | | | | | | | | | | SIMP: (3634) implies:
% 171.72/26.05 | | | | | | | | | | | | | | | (3635) ~ (all_61_14 = all_22_1)
% 171.72/26.05 | | | | | | | | | | | | | | |
% 171.72/26.05 | | | | | | | | | | | | | | | REDUCE: (626), (3619) imply:
% 171.72/26.05 | | | | | | | | | | | | | | | (3636) ~ (all_22_1 = all_20_2)
% 171.72/26.05 | | | | | | | | | | | | | | |
% 171.72/26.05 | | | | | | | | | | | | | | | REDUCE: (3202), (3619) imply:
% 171.72/26.05 | | | | | | | | | | | | | | | (3637) ~ (all_22_1 = all_14_1)
% 171.72/26.05 | | | | | | | | | | | | | | |
% 171.72/26.05 | | | | | | | | | | | | | | | REDUCE: (3589), (3619) imply:
% 171.72/26.05 | | | | | | | | | | | | | | | (3638) ~ (all_22_1 = e0)
% 171.72/26.05 | | | | | | | | | | | | | | |
% 171.72/26.05 | | | | | | | | | | | | | | | REDUCE: (685), (3615) imply:
% 171.72/26.05 | | | | | | | | | | | | | | | (3639) op(all_61_12, e0) = all_65_55
% 171.72/26.05 | | | | | | | | | | | | | | |
% 171.72/26.05 | | | | | | | | | | | | | | | REDUCE: (687), (3617), (3621) imply:
% 171.72/26.05 | | | | | | | | | | | | | | | (3640) op(all_22_1, e2) = all_20_2
% 171.72/26.05 | | | | | | | | | | | | | | |
% 171.72/26.05 | | | | | | | | | | | | | | | REDUCE: (689), (3617) imply:
% 171.72/26.05 | | | | | | | | | | | | | | | (3641) op(all_22_1, e0) = all_65_63
% 171.72/26.05 | | | | | | | | | | | | | | |
% 171.72/26.05 | | | | | | | | | | | | | | | REDUCE: (663), (3619) imply:
% 171.72/26.05 | | | | | | | | | | | | | | | (3642) op(all_22_1, e2) = all_65_29
% 171.72/26.05 | | | | | | | | | | | | | | |
% 171.72/26.05 | | | | | | | | | | | | | | | REDUCE: (665), (3619) imply:
% 171.72/26.05 | | | | | | | | | | | | | | | (3643) op(all_22_1, e0) = all_65_31
% 171.72/26.05 | | | | | | | | | | | | | | |
% 171.72/26.05 | | | | | | | | | | | | | | | REDUCE: (761), (3615) imply:
% 171.72/26.05 | | | | | | | | | | | | | | | (3644) op(e0, all_61_12) = all_65_73
% 171.72/26.05 | | | | | | | | | | | | | | |
% 171.72/26.05 | | | | | | | | | | | | | | | REDUCE: (762), (3617) imply:
% 171.72/26.05 | | | | | | | | | | | | | | | (3645) op(e0, all_22_1) = all_65_75
% 171.72/26.05 | | | | | | | | | | | | | | |
% 171.72/26.05 | | | | | | | | | | | | | | | REDUCE: (756), (3619) imply:
% 171.72/26.05 | | | | | | | | | | | | | | | (3646) op(e0, all_22_1) = all_65_63
% 171.72/26.05 | | | | | | | | | | | | | | |
% 171.72/26.05 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_75, all_65_63,
% 171.72/26.05 | | | | | | | | | | | | | | | all_22_1, e0, simplifying with (3645), (3646)
% 171.72/26.05 | | | | | | | | | | | | | | | gives:
% 171.72/26.05 | | | | | | | | | | | | | | | (3647) all_65_63 = all_65_75
% 171.72/26.05 | | | | | | | | | | | | | | |
% 171.72/26.05 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_55, all_65_73,
% 171.72/26.05 | | | | | | | | | | | | | | | all_61_12, e0, simplifying with (752), (3644)
% 171.72/26.05 | | | | | | | | | | | | | | | gives:
% 171.72/26.05 | | | | | | | | | | | | | | | (3648) all_65_55 = all_65_73
% 171.72/26.05 | | | | | | | | | | | | | | |
% 171.72/26.05 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_63, all_65_31, e0,
% 171.72/26.05 | | | | | | | | | | | | | | | all_22_1, simplifying with (3641), (3643) gives:
% 171.72/26.05 | | | | | | | | | | | | | | | (3649) all_65_31 = all_65_63
% 171.72/26.05 | | | | | | | | | | | | | | |
% 171.72/26.05 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_20_2, all_65_29, e2,
% 171.72/26.05 | | | | | | | | | | | | | | | all_22_1, simplifying with (3640), (3642) gives:
% 171.72/26.05 | | | | | | | | | | | | | | | (3650) all_65_29 = all_20_2
% 171.72/26.05 | | | | | | | | | | | | | | |
% 171.72/26.05 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_15, all_65_55, e0,
% 171.72/26.05 | | | | | | | | | | | | | | | all_61_12, simplifying with (649), (3639) gives:
% 171.72/26.05 | | | | | | | | | | | | | | | (3651) all_65_15 = all_65_55
% 171.72/26.05 | | | | | | | | | | | | | | |
% 171.72/26.05 | | | | | | | | | | | | | | | COMBINE_EQS: (3647), (3649) imply:
% 171.72/26.05 | | | | | | | | | | | | | | | (3652) all_65_31 = all_65_75
% 171.72/26.05 | | | | | | | | | | | | | | |
% 171.72/26.05 | | | | | | | | | | | | | | | COMBINE_EQS: (3648), (3651) imply:
% 171.72/26.05 | | | | | | | | | | | | | | | (3653) all_65_15 = all_65_73
% 171.72/26.05 | | | | | | | | | | | | | | |
% 171.72/26.05 | | | | | | | | | | | | | | | REDUCE: (713), (3653) imply:
% 171.72/26.05 | | | | | | | | | | | | | | | (3654) op(e3, all_20_2) = all_65_73
% 171.72/26.05 | | | | | | | | | | | | | | |
% 171.72/26.05 | | | | | | | | | | | | | | | REDUCE: (730), (3652) imply:
% 171.72/26.05 | | | | | | | | | | | | | | | (3655) op(e2, all_20_2) = all_65_75
% 171.72/26.05 | | | | | | | | | | | | | | |
% 171.72/26.05 | | | | | | | | | | | | | | | BETA: splitting (89) gives:
% 171.72/26.05 | | | | | | | | | | | | | | |
% 171.72/26.05 | | | | | | | | | | | | | | | Case 1:
% 171.72/26.05 | | | | | | | | | | | | | | | |
% 171.72/26.05 | | | | | | | | | | | | | | | | (3656) ~ (all_28_2 = e3)
% 171.72/26.05 | | | | | | | | | | | | | | | |
% 171.72/26.05 | | | | | | | | | | | | | | | | REDUCE: (563), (3656) imply:
% 171.72/26.05 | | | | | | | | | | | | | | | | (3657) ~ (all_20_2 = e3)
% 171.72/26.05 | | | | | | | | | | | | | | | |
% 171.72/26.05 | | | | | | | | | | | | | | | | BETA: splitting (110) gives:
% 171.72/26.05 | | | | | | | | | | | | | | | |
% 171.72/26.05 | | | | | | | | | | | | | | | | Case 1:
% 171.72/26.05 | | | | | | | | | | | | | | | | |
% 171.72/26.05 | | | | | | | | | | | | | | | | | (3658) ~ (all_42_2 = e1)
% 171.72/26.05 | | | | | | | | | | | | | | | | |
% 171.72/26.05 | | | | | | | | | | | | | | | | | REDUCE: (532), (3658) imply:
% 171.72/26.05 | | | | | | | | | | | | | | | | | (3659) ~ (all_20_2 = e1)
% 171.72/26.05 | | | | | | | | | | | | | | | | |
% 171.72/26.05 | | | | | | | | | | | | | | | | | BETA: splitting (256) gives:
% 171.72/26.05 | | | | | | | | | | | | | | | | |
% 171.72/26.05 | | | | | | | | | | | | | | | | | Case 1:
% 171.72/26.05 | | | | | | | | | | | | | | | | | |
% 171.72/26.05 | | | | | | | | | | | | | | | | | | (3660) all_63_15 = e3
% 171.72/26.05 | | | | | | | | | | | | | | | | | |
% 171.72/26.05 | | | | | | | | | | | | | | | | | | REF_CLOSE: (422), (3657), (3660) are inconsistent by
% 171.72/26.05 | | | | | | | | | | | | | | | | | | sub-proof #501.
% 171.72/26.05 | | | | | | | | | | | | | | | | | |
% 171.72/26.05 | | | | | | | | | | | | | | | | | Case 2:
% 171.72/26.05 | | | | | | | | | | | | | | | | | |
% 171.72/26.05 | | | | | | | | | | | | | | | | | | (3661) all_63_15 = e2 | all_63_15 = e1 | all_63_15 = e0
% 171.72/26.05 | | | | | | | | | | | | | | | | | |
% 171.72/26.05 | | | | | | | | | | | | | | | | | | BETA: splitting (3661) gives:
% 171.72/26.05 | | | | | | | | | | | | | | | | | |
% 171.72/26.05 | | | | | | | | | | | | | | | | | | Case 1:
% 171.72/26.05 | | | | | | | | | | | | | | | | | | |
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | (3662) all_63_15 = e2
% 171.72/26.05 | | | | | | | | | | | | | | | | | | |
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (422), (3230), (3662) are inconsistent by
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | sub-proof #500.
% 171.72/26.05 | | | | | | | | | | | | | | | | | | |
% 171.72/26.05 | | | | | | | | | | | | | | | | | | Case 2:
% 171.72/26.05 | | | | | | | | | | | | | | | | | | |
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | (3663) all_63_15 = e1 | all_63_15 = e0
% 171.72/26.05 | | | | | | | | | | | | | | | | | | |
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | BETA: splitting (3663) gives:
% 171.72/26.05 | | | | | | | | | | | | | | | | | | |
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | Case 1:
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | |
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | (3664) all_63_15 = e1
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | |
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (422), (3659), (3664) are inconsistent by
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | sub-proof #499.
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | |
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | Case 2:
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | |
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | (3665) all_63_15 = e0
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | |
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (422), (3665) imply:
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | (3666) all_20_2 = e0
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | |
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | SIMP: (3666) implies:
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | (3667) all_20_2 = e0
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | |
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | REDUCE: (625), (3667) imply:
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | (3668) ~ (all_61_12 = e0)
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | |
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | REDUCE: (627), (3667) imply:
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | (3669) ~ (all_61_14 = e0)
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | |
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | REDUCE: (3640), (3667) imply:
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | (3670) op(all_22_1, e2) = e0
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | |
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | REDUCE: (696), (3667) imply:
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | (3671) op(e0, e1) = all_65_77
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | |
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | REDUCE: (3655), (3667) imply:
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | (3672) op(e2, e0) = all_65_75
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | |
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | REDUCE: (747), (3667) imply:
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | (3673) op(e1, e0) = all_65_47
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | |
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_11, all_65_77, e1,
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | e0, simplifying with (224), (3671) gives:
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | (3674) all_65_77 = all_61_11
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | |
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_14, all_65_47, e0,
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | e1, simplifying with (227), (3673) gives:
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | (3675) all_65_47 = all_61_14
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | |
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_22_1, all_65_75, e0,
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | e2, simplifying with (3584), (3672) gives:
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | (3676) all_65_75 = all_22_1
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | |
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | BETA: splitting (163) gives:
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | |
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | Case 1:
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | (3677) ~ (all_58_1 = e0)
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | REDUCE: (481), (3677) imply:
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | (3678) ~ (all_52_1 = e0)
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (157) gives:
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | | (3679) ~ (all_58_3 = e1)
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (475), (3679) imply:
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | | (3680) ~ (all_52_3 = e1)
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (160) gives:
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | | | (3681) ~ (all_58_2 = e0)
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (478), (3681) imply:
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | | | (3682) ~ (all_52_2 = e0)
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (168) gives:
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | | | | (3683) ~ (all_58_0 = e2)
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (484), (3683) imply:
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | | | | (3684) ~ (all_52_0 = e2)
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (165) gives:
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | (3685) ~ (all_58_1 = e3)
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (481), (3685) imply:
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | (3686) ~ (all_52_1 = e3)
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (164) gives:
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | (3687) ~ (all_58_1 = e1)
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (481), (3687) imply:
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | (3688) ~ (all_52_1 = e1)
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (50), (150), (227), (536), (731), (868),
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | (3597), (3678), (3686), (3688) are inconsistent by
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #373.
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | (3689) all_58_2 = e2
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | (3690) all_58_1 = e1
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (481), (3690) imply:
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | (3691) all_52_1 = e1
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3691) implies:
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | (3692) all_52_1 = e1
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (478), (3689) imply:
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | (3693) all_52_2 = e2
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (731), (3692) imply:
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | (3694) op(e2, e1) = unit
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (748), (3693) imply:
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | (3695) op(e1, e2) = unit
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_6, unit, e2, e1,
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (229), (3695) gives:
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | (3696) all_61_6 = unit
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_9, unit, e1, e2,
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (232), (3694) gives:
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | (3697) all_61_9 = unit
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (193), (3696) imply:
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | (3698) ~ (all_61_14 = unit)
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3698) implies:
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | (3699) ~ (all_61_14 = unit)
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3632), (3697) imply:
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | (3700) ~ (all_22_1 = unit)
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3700) implies:
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | (3701) ~ (all_22_1 = unit)
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (866), (3697) imply:
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | (3702) ~ (unit = e1)
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3588), (3697) imply:
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | (3703) ~ (unit = e0)
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (852) gives:
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3704) unit = e2
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3699), (3704) imply:
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3705) ~ (all_61_14 = e2)
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3701), (3704) imply:
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3706) ~ (all_22_1 = e2)
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (260) gives:
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3707) all_63_11 = e3
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (505), (3707) imply:
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3708) all_61_14 = e3
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (179), (3708) imply:
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3709) ~ (all_61_12 = e3)
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3635), (3708) imply:
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3710) ~ (all_22_1 = e3)
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3710) implies:
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3711) ~ (all_22_1 = e3)
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (258) gives:
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3712) all_63_13 = e3
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3623), (3712) imply:
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3713) all_22_1 = e3
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3711), (3713) imply:
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3714) $false
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3714) is inconsistent.
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3715) all_63_13 = e2 | all_63_13 = e1 | all_63_13 = e0
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3715) gives:
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3716) all_63_13 = e2
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3623), (3716) imply:
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3717) all_22_1 = e2
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3706), (3717) imply:
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3718) $false
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3718) is inconsistent.
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3719) all_63_13 = e1 | all_63_13 = e0
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (259) gives:
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3720) all_63_12 = e3
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3624), (3720) imply:
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3721) all_61_12 = e3
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3709), (3721) imply:
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3722) $false
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3722) is inconsistent.
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3723) all_63_12 = e2 | all_63_12 = e1 | all_63_12 = e0
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3723) gives:
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3724) all_63_12 = e2
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3624), (3724) imply:
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3725) all_61_12 = e2
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3160), (3725) imply:
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3726) $false
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3726) is inconsistent.
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3727) all_63_12 = e1 | all_63_12 = e0
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3719) gives:
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3728) all_63_13 = e1
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3623), (3728) imply:
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3729) all_22_1 = e1
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3633), (3729) imply:
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3730) ~ (all_61_12 = e1)
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3624), (3668), (3727), (3730) are inconsistent by
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #357.
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3731) all_63_13 = e0
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3623), (3731) imply:
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3732) all_22_1 = e0
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3638), (3732) imply:
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3733) $false
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3733) is inconsistent.
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 171.72/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 171.72/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 171.72/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 171.72/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 171.72/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 171.72/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3734) all_63_11 = e2 | all_63_11 = e1 | all_63_11 = e0
% 171.72/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (505), (868), (3669), (3705), (3734) are
% 171.72/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #521.
% 171.72/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 171.72/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 171.72/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3735) unit = e1 | unit = e0
% 171.72/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3702), (3703), (3735) are inconsistent by
% 171.72/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #419.
% 171.72/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 171.72/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 171.72/26.06 | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.06 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 171.72/26.06 | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | (3736) all_58_0 = e2
% 171.72/26.06 | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (484), (3684), (3736) are inconsistent by
% 171.72/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #356.
% 171.72/26.06 | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.06 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 171.72/26.06 | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.06 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 171.72/26.06 | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.06 | | | | | | | | | | | | | | | | | | | | | | | | (3737) all_58_1 = e3
% 171.72/26.06 | | | | | | | | | | | | | | | | | | | | | | | | (3738) all_58_0 = e2
% 171.72/26.06 | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.06 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (484), (3738) imply:
% 171.72/26.06 | | | | | | | | | | | | | | | | | | | | | | | | (3739) all_52_0 = e2
% 171.72/26.06 | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.06 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3739) implies:
% 171.72/26.06 | | | | | | | | | | | | | | | | | | | | | | | | (3740) all_52_0 = e2
% 171.72/26.06 | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.06 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (481), (3737) imply:
% 171.72/26.06 | | | | | | | | | | | | | | | | | | | | | | | | (3741) all_52_1 = e3
% 171.72/26.06 | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.06 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3741) implies:
% 171.72/26.06 | | | | | | | | | | | | | | | | | | | | | | | | (3742) all_52_1 = e3
% 171.72/26.06 | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.06 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (629), (3740) imply:
% 171.72/26.06 | | | | | | | | | | | | | | | | | | | | | | | | (3743) ~ (all_52_2 = e2)
% 171.72/26.06 | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.06 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3743) implies:
% 171.72/26.06 | | | | | | | | | | | | | | | | | | | | | | | | (3744) ~ (all_52_2 = e2)
% 171.72/26.06 | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.06 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (631), (3742) imply:
% 171.72/26.06 | | | | | | | | | | | | | | | | | | | | | | | | (3745) ~ (all_52_2 = e3)
% 171.72/26.06 | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.06 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3745) implies:
% 171.72/26.06 | | | | | | | | | | | | | | | | | | | | | | | | (3746) ~ (all_52_2 = e3)
% 171.72/26.06 | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.06 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (50), (149), (227), (538), (748), (876),
% 171.72/26.06 | | | | | | | | | | | | | | | | | | | | | | | | (3669), (3682), (3744), (3746) are inconsistent by
% 171.72/26.06 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #497.
% 171.72/26.06 | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.06 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 171.72/26.06 | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.06 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 171.72/26.06 | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.06 | | | | | | | | | | | | | | | | | | | | | | | (3747) all_58_3 = e1
% 171.72/26.06 | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.06 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (475), (3680), (3747) are inconsistent by
% 171.72/26.06 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #460.
% 171.72/26.06 | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.06 | | | | | | | | | | | | | | | | | | | | | | End of split
% 171.72/26.06 | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.06 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 171.72/26.06 | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.06 | | | | | | | | | | | | | | | | | | | | | | (3748) all_58_3 = e1
% 171.72/26.06 | | | | | | | | | | | | | | | | | | | | | | (3749) all_58_2 = e0
% 171.72/26.06 | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.06 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (478), (3749) imply:
% 171.72/26.06 | | | | | | | | | | | | | | | | | | | | | | (3750) all_52_2 = e0
% 171.72/26.06 | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.06 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (475), (3748) imply:
% 171.72/26.06 | | | | | | | | | | | | | | | | | | | | | | (3751) all_52_3 = e1
% 171.72/26.06 | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.06 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (748), (3750) imply:
% 171.72/26.06 | | | | | | | | | | | | | | | | | | | | | | (3752) op(e1, e0) = unit
% 171.72/26.06 | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.06 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (765), (3751) imply:
% 171.72/26.06 | | | | | | | | | | | | | | | | | | | | | | (3753) op(e0, e1) = unit
% 171.72/26.06 | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.06 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_11, unit, e1, e0,
% 171.72/26.06 | | | | | | | | | | | | | | | | | | | | | | simplifying with (224), (3753) gives:
% 171.72/26.06 | | | | | | | | | | | | | | | | | | | | | | (3754) all_61_11 = unit
% 171.72/26.06 | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.06 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_14, unit, e0, e1,
% 171.72/26.06 | | | | | | | | | | | | | | | | | | | | | | simplifying with (227), (3752) gives:
% 171.72/26.06 | | | | | | | | | | | | | | | | | | | | | | (3755) all_61_14 = unit
% 171.72/26.06 | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.06 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (185), (3754) imply:
% 171.72/26.06 | | | | | | | | | | | | | | | | | | | | | | (3756) ~ (all_61_9 = unit)
% 171.72/26.06 | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.06 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3635), (3755) imply:
% 171.72/26.06 | | | | | | | | | | | | | | | | | | | | | | (3757) ~ (all_22_1 = unit)
% 171.72/26.06 | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.06 | | | | | | | | | | | | | | | | | | | | | | SIMP: (3757) implies:
% 171.72/26.06 | | | | | | | | | | | | | | | | | | | | | | (3758) ~ (all_22_1 = unit)
% 171.72/26.06 | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.06 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (868), (3755) imply:
% 171.72/26.06 | | | | | | | | | | | | | | | | | | | | | | (3759) ~ (unit = e1)
% 171.72/26.06 | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.06 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3669), (3755) imply:
% 171.72/26.06 | | | | | | | | | | | | | | | | | | | | | | (3760) ~ (unit = e0)
% 171.72/26.06 | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.06 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (852) gives:
% 171.72/26.06 | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.06 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 171.72/26.06 | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.06 | | | | | | | | | | | | | | | | | | | | | | | (3761) unit = e2
% 171.72/26.06 | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.06 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3756), (3761) imply:
% 171.72/26.06 | | | | | | | | | | | | | | | | | | | | | | | (3762) ~ (all_61_9 = e2)
% 171.72/26.06 | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.06 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3758), (3761) imply:
% 171.72/26.06 | | | | | | | | | | | | | | | | | | | | | | | (3763) ~ (all_22_1 = e2)
% 171.72/26.06 | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.06 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (265) gives:
% 171.72/26.06 | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.06 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 171.72/26.06 | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.06 | | | | | | | | | | | | | | | | | | | | | | | | (3764) all_63_6 = e3
% 171.72/26.06 | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.06 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (497), (3764) imply:
% 171.72/26.06 | | | | | | | | | | | | | | | | | | | | | | | | (3765) all_61_9 = e3
% 171.72/26.06 | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.06 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3632), (3765) imply:
% 171.72/26.06 | | | | | | | | | | | | | | | | | | | | | | | | (3766) ~ (all_22_1 = e3)
% 171.72/26.06 | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.06 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3766) implies:
% 171.72/26.06 | | | | | | | | | | | | | | | | | | | | | | | | (3767) ~ (all_22_1 = e3)
% 171.72/26.06 | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.06 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3200), (3765) imply:
% 171.72/26.06 | | | | | | | | | | | | | | | | | | | | | | | | (3768) ~ (all_14_1 = e3)
% 171.72/26.06 | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.06 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3768) implies:
% 171.72/26.06 | | | | | | | | | | | | | | | | | | | | | | | | (3769) ~ (all_14_1 = e3)
% 171.72/26.06 | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.06 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (258) gives:
% 171.72/26.06 | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.06 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 171.72/26.06 | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | (3770) all_63_13 = e3
% 171.72/26.06 | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3623), (3770) imply:
% 171.72/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | (3771) all_22_1 = e3
% 171.72/26.06 | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3767), (3771) imply:
% 171.72/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | (3772) $false
% 171.72/26.06 | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3772) is inconsistent.
% 171.72/26.06 | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.06 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 171.72/26.06 | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | (3773) all_63_13 = e2 | all_63_13 = e1 | all_63_13 = e0
% 171.72/26.06 | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (267), (3193), (3212), (3590), (3623), (3637),
% 171.72/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | (3638), (3763), (3769), (3773) are inconsistent by
% 171.72/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #352.
% 171.72/26.06 | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.06 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 171.72/26.06 | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.06 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 171.72/26.06 | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.06 | | | | | | | | | | | | | | | | | | | | | | | | (3774) all_63_6 = e2 | all_63_6 = e1 | all_63_6 = e0
% 171.72/26.06 | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.06 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (497), (866), (3588), (3762), (3774) are
% 171.72/26.06 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #410.
% 171.72/26.06 | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.06 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 171.72/26.06 | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.06 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 171.72/26.06 | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.06 | | | | | | | | | | | | | | | | | | | | | | | (3775) unit = e1 | unit = e0
% 171.72/26.06 | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.06 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3759), (3760), (3775) are inconsistent by
% 171.72/26.06 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #419.
% 171.72/26.06 | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.06 | | | | | | | | | | | | | | | | | | | | | | End of split
% 171.72/26.06 | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.06 | | | | | | | | | | | | | | | | | | | | | End of split
% 171.72/26.06 | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.06 | | | | | | | | | | | | | | | | | | | | Case 2:
% 171.72/26.06 | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.06 | | | | | | | | | | | | | | | | | | | | | (3776) all_58_3 = e2
% 171.72/26.06 | | | | | | | | | | | | | | | | | | | | | (3777) all_58_1 = e0
% 171.72/26.06 | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.06 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (50), (475), (481), (632), (731), (3584),
% 171.72/26.06 | | | | | | | | | | | | | | | | | | | | | (3670), (3776), (3777) are inconsistent by
% 171.72/26.06 | | | | | | | | | | | | | | | | | | | | | sub-proof #351.
% 171.72/26.06 | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.06 | | | | | | | | | | | | | | | | | | | | End of split
% 171.72/26.06 | | | | | | | | | | | | | | | | | | | |
% 171.72/26.06 | | | | | | | | | | | | | | | | | | | End of split
% 171.72/26.06 | | | | | | | | | | | | | | | | | | |
% 171.72/26.06 | | | | | | | | | | | | | | | | | | End of split
% 171.72/26.06 | | | | | | | | | | | | | | | | | |
% 171.72/26.06 | | | | | | | | | | | | | | | | | End of split
% 171.72/26.06 | | | | | | | | | | | | | | | | |
% 171.72/26.06 | | | | | | | | | | | | | | | | Case 2:
% 171.72/26.06 | | | | | | | | | | | | | | | | |
% 171.72/26.06 | | | | | | | | | | | | | | | | | (3778) all_42_2 = e1
% 171.72/26.06 | | | | | | | | | | | | | | | | | (3779) op(e0, e1) = all_42_1 & $i(all_42_1) & ( ~
% 171.72/26.06 | | | | | | | | | | | | | | | | | (all_42_1 = e3) | ( ~ (all_42_0 = e2) & op(e3,
% 171.72/26.06 | | | | | | | | | | | | | | | | | e0) = all_42_0 & $i(all_42_0)))
% 171.72/26.06 | | | | | | | | | | | | | | | | |
% 171.72/26.06 | | | | | | | | | | | | | | | | | ALPHA: (3779) implies:
% 171.72/26.06 | | | | | | | | | | | | | | | | | (3780) op(e0, e1) = all_42_1
% 171.72/26.06 | | | | | | | | | | | | | | | | |
% 171.72/26.06 | | | | | | | | | | | | | | | | | COMBINE_EQS: (532), (3778) imply:
% 171.72/26.06 | | | | | | | | | | | | | | | | | (3781) all_20_2 = e1
% 171.72/26.06 | | | | | | | | | | | | | | | | |
% 171.72/26.06 | | | | | | | | | | | | | | | | | SIMP: (3781) implies:
% 171.72/26.06 | | | | | | | | | | | | | | | | | (3782) all_20_2 = e1
% 171.72/26.06 | | | | | | | | | | | | | | | | |
% 171.72/26.06 | | | | | | | | | | | | | | | | | COMBINE_EQS: (582), (3782) imply:
% 171.72/26.06 | | | | | | | | | | | | | | | | | (3783) all_50_2 = e1
% 171.72/26.06 | | | | | | | | | | | | | | | | |
% 171.72/26.06 | | | | | | | | | | | | | | | | | REDUCE: (625), (3782) imply:
% 171.72/26.06 | | | | | | | | | | | | | | | | | (3784) ~ (all_61_12 = e1)
% 171.72/26.06 | | | | | | | | | | | | | | | | |
% 171.72/26.06 | | | | | | | | | | | | | | | | | REDUCE: (3636), (3782) imply:
% 171.72/26.06 | | | | | | | | | | | | | | | | | (3785) ~ (all_22_1 = e1)
% 171.72/26.06 | | | | | | | | | | | | | | | | |
% 171.72/26.06 | | | | | | | | | | | | | | | | | REDUCE: (694), (3782) imply:
% 171.72/26.06 | | | | | | | | | | | | | | | | | (3786) op(e1, e3) = all_65_73
% 171.72/26.06 | | | | | | | | | | | | | | | | |
% 171.72/26.06 | | | | | | | | | | | | | | | | | REDUCE: (695), (3782) imply:
% 171.72/26.06 | | | | | | | | | | | | | | | | | (3787) op(e1, e2) = all_65_75
% 171.72/26.06 | | | | | | | | | | | | | | | | |
% 171.72/26.06 | | | | | | | | | | | | | | | | | REDUCE: (696), (3782) imply:
% 171.72/26.06 | | | | | | | | | | | | | | | | | (3788) op(e1, e1) = all_65_77
% 171.72/26.06 | | | | | | | | | | | | | | | | |
% 171.72/26.06 | | | | | | | | | | | | | | | | | REDUCE: (697), (3782) imply:
% 171.72/26.06 | | | | | | | | | | | | | | | | | (3789) op(e1, e0) = all_65_78
% 171.72/26.06 | | | | | | | | | | | | | | | | |
% 171.72/26.06 | | | | | | | | | | | | | | | | | REDUCE: (3654), (3782) imply:
% 171.72/26.06 | | | | | | | | | | | | | | | | | (3790) op(e3, e1) = all_65_73
% 171.72/26.06 | | | | | | | | | | | | | | | | |
% 171.72/26.06 | | | | | | | | | | | | | | | | | REDUCE: (3655), (3782) imply:
% 171.72/26.06 | | | | | | | | | | | | | | | | | (3791) op(e2, e1) = all_65_75
% 171.72/26.06 | | | | | | | | | | | | | | | | |
% 171.72/26.06 | | | | | | | | | | | | | | | | | REDUCE: (747), (3782) imply:
% 171.72/26.06 | | | | | | | | | | | | | | | | | (3792) op(e1, e1) = all_65_47
% 171.72/26.06 | | | | | | | | | | | | | | | | |
% 171.72/26.06 | | | | | | | | | | | | | | | | | REDUCE: (764), (3782) imply:
% 171.72/26.06 | | | | | | | | | | | | | | | | | (3793) op(e0, e1) = all_65_78
% 171.72/26.06 | | | | | | | | | | | | | | | | |
% 171.72/26.06 | | | | | | | | | | | | | | | | | BETA: splitting (122) gives:
% 171.72/26.06 | | | | | | | | | | | | | | | | |
% 171.72/26.06 | | | | | | | | | | | | | | | | | Case 1:
% 171.72/26.06 | | | | | | | | | | | | | | | | | |
% 171.72/26.06 | | | | | | | | | | | | | | | | | | (3794) ~ (all_50_2 = e1)
% 171.72/26.06 | | | | | | | | | | | | | | | | | |
% 171.72/26.06 | | | | | | | | | | | | | | | | | | REDUCE: (3783), (3794) imply:
% 171.72/26.06 | | | | | | | | | | | | | | | | | | (3795) $false
% 171.72/26.06 | | | | | | | | | | | | | | | | | |
% 171.72/26.06 | | | | | | | | | | | | | | | | | | CLOSE: (3795) is inconsistent.
% 171.72/26.06 | | | | | | | | | | | | | | | | | |
% 171.72/26.06 | | | | | | | | | | | | | | | | | Case 2:
% 171.72/26.06 | | | | | | | | | | | | | | | | | |
% 171.72/26.06 | | | | | | | | | | | | | | | | | | (3796) op(e0, e1) = all_50_1 & $i(all_50_1) & ( ~
% 171.72/26.06 | | | | | | | | | | | | | | | | | | (all_50_1 = e2) | ( ~ (all_50_0 = e3) & op(e2,
% 171.72/26.06 | | | | | | | | | | | | | | | | | | e0) = all_50_0 & $i(all_50_0)))
% 171.72/26.06 | | | | | | | | | | | | | | | | | |
% 171.72/26.06 | | | | | | | | | | | | | | | | | | ALPHA: (3796) implies:
% 171.72/26.06 | | | | | | | | | | | | | | | | | | (3797) op(e0, e1) = all_50_1
% 171.72/26.06 | | | | | | | | | | | | | | | | | |
% 171.72/26.06 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_11, all_42_1, e1,
% 171.72/26.06 | | | | | | | | | | | | | | | | | | e0, simplifying with (224), (3780) gives:
% 171.72/26.06 | | | | | | | | | | | | | | | | | | (3798) all_61_11 = all_42_1
% 171.72/26.06 | | | | | | | | | | | | | | | | | |
% 171.72/26.06 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_11, all_50_1, e1,
% 171.72/26.06 | | | | | | | | | | | | | | | | | | e0, simplifying with (224), (3797) gives:
% 171.72/26.06 | | | | | | | | | | | | | | | | | | (3799) all_61_11 = all_50_1
% 171.72/26.06 | | | | | | | | | | | | | | | | | |
% 171.72/26.06 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_11, all_65_78, e1,
% 171.72/26.06 | | | | | | | | | | | | | | | | | | e0, simplifying with (224), (3793) gives:
% 171.72/26.06 | | | | | | | | | | | | | | | | | | (3800) all_65_78 = all_61_11
% 171.72/26.06 | | | | | | | | | | | | | | | | | |
% 171.72/26.07 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_14, all_65_78, e0,
% 171.72/26.07 | | | | | | | | | | | | | | | | | | e1, simplifying with (227), (3789) gives:
% 171.72/26.07 | | | | | | | | | | | | | | | | | | (3801) all_65_78 = all_61_14
% 171.72/26.07 | | | | | | | | | | | | | | | | | |
% 171.72/26.07 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e1, all_65_47, e1, e1,
% 171.72/26.07 | | | | | | | | | | | | | | | | | | simplifying with (876), (3792) gives:
% 171.72/26.07 | | | | | | | | | | | | | | | | | | (3802) all_65_47 = e1
% 171.72/26.07 | | | | | | | | | | | | | | | | | |
% 171.72/26.07 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_77, all_65_47, e1,
% 171.72/26.07 | | | | | | | | | | | | | | | | | | e1, simplifying with (3788), (3792) gives:
% 171.72/26.07 | | | | | | | | | | | | | | | | | | (3803) all_65_47 = all_65_77
% 171.72/26.07 | | | | | | | | | | | | | | | | | |
% 171.72/26.07 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_6, all_65_75, e2,
% 171.72/26.07 | | | | | | | | | | | | | | | | | | e1, simplifying with (229), (3787) gives:
% 171.72/26.07 | | | | | | | | | | | | | | | | | | (3804) all_65_75 = all_61_6
% 171.72/26.07 | | | | | | | | | | | | | | | | | |
% 171.72/26.07 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_2, all_65_73, e3,
% 171.72/26.07 | | | | | | | | | | | | | | | | | | e1, simplifying with (230), (3786) gives:
% 171.72/26.07 | | | | | | | | | | | | | | | | | | (3805) all_65_73 = all_61_2
% 171.72/26.07 | | | | | | | | | | | | | | | | | |
% 171.72/26.07 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_9, all_65_75, e1,
% 171.72/26.07 | | | | | | | | | | | | | | | | | | e2, simplifying with (232), (3791) gives:
% 171.72/26.07 | | | | | | | | | | | | | | | | | | (3806) all_65_75 = all_61_9
% 171.72/26.07 | | | | | | | | | | | | | | | | | |
% 171.72/26.07 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_8, all_65_73, e1,
% 171.72/26.07 | | | | | | | | | | | | | | | | | | e3, simplifying with (236), (3790) gives:
% 171.72/26.07 | | | | | | | | | | | | | | | | | | (3807) all_65_73 = all_61_8
% 171.72/26.07 | | | | | | | | | | | | | | | | | |
% 171.72/26.07 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3802), (3803) imply:
% 171.72/26.07 | | | | | | | | | | | | | | | | | | (3808) all_65_77 = e1
% 171.72/26.07 | | | | | | | | | | | | | | | | | |
% 171.72/26.07 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3805), (3807) imply:
% 171.72/26.07 | | | | | | | | | | | | | | | | | | (3809) all_61_2 = all_61_8
% 171.72/26.07 | | | | | | | | | | | | | | | | | |
% 171.72/26.07 | | | | | | | | | | | | | | | | | | SIMP: (3809) implies:
% 171.72/26.07 | | | | | | | | | | | | | | | | | | (3810) all_61_2 = all_61_8
% 171.72/26.07 | | | | | | | | | | | | | | | | | |
% 171.72/26.07 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3804), (3806) imply:
% 171.72/26.07 | | | | | | | | | | | | | | | | | | (3811) all_61_6 = all_61_9
% 171.72/26.07 | | | | | | | | | | | | | | | | | |
% 171.72/26.07 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3800), (3801) imply:
% 171.72/26.07 | | | | | | | | | | | | | | | | | | (3812) all_61_11 = all_61_14
% 171.72/26.07 | | | | | | | | | | | | | | | | | |
% 171.72/26.07 | | | | | | | | | | | | | | | | | | SIMP: (3812) implies:
% 171.72/26.07 | | | | | | | | | | | | | | | | | | (3813) all_61_11 = all_61_14
% 171.72/26.07 | | | | | | | | | | | | | | | | | |
% 171.72/26.07 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3799), (3813) imply:
% 171.72/26.07 | | | | | | | | | | | | | | | | | | (3814) all_61_14 = all_50_1
% 171.72/26.07 | | | | | | | | | | | | | | | | | |
% 171.72/26.07 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3798), (3813) imply:
% 171.72/26.07 | | | | | | | | | | | | | | | | | | (3815) all_61_14 = all_42_1
% 171.72/26.07 | | | | | | | | | | | | | | | | | |
% 171.72/26.07 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3814), (3815) imply:
% 171.72/26.07 | | | | | | | | | | | | | | | | | | (3816) all_50_1 = all_42_1
% 171.72/26.07 | | | | | | | | | | | | | | | | | |
% 171.72/26.07 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (510), (3798) imply:
% 171.72/26.07 | | | | | | | | | | | | | | | | | | (3817) all_63_14 = all_42_1
% 171.72/26.07 | | | | | | | | | | | | | | | | | |
% 171.72/26.07 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (505), (3815) imply:
% 171.72/26.07 | | | | | | | | | | | | | | | | | | (3818) all_63_11 = all_42_1
% 171.72/26.07 | | | | | | | | | | | | | | | | | |
% 171.72/26.07 | | | | | | | | | | | | | | | | | | REDUCE: (188), (3798) imply:
% 171.72/26.07 | | | | | | | | | | | | | | | | | | (3819) ~ (all_61_8 = all_42_1)
% 171.72/26.07 | | | | | | | | | | | | | | | | | |
% 171.72/26.07 | | | | | | | | | | | | | | | | | | REDUCE: (185), (3798) imply:
% 171.72/26.07 | | | | | | | | | | | | | | | | | | (3820) ~ (all_61_9 = all_42_1)
% 171.72/26.07 | | | | | | | | | | | | | | | | | |
% 171.72/26.07 | | | | | | | | | | | | | | | | | | REDUCE: (179), (3815) imply:
% 171.72/26.07 | | | | | | | | | | | | | | | | | | (3821) ~ (all_61_12 = all_42_1)
% 171.72/26.07 | | | | | | | | | | | | | | | | | |
% 171.72/26.07 | | | | | | | | | | | | | | | | | | REDUCE: (3635), (3815) imply:
% 171.72/26.07 | | | | | | | | | | | | | | | | | | (3822) ~ (all_42_1 = all_22_1)
% 171.72/26.07 | | | | | | | | | | | | | | | | | |
% 171.72/26.07 | | | | | | | | | | | | | | | | | | REDUCE: (868), (3815) imply:
% 171.72/26.07 | | | | | | | | | | | | | | | | | | (3823) ~ (all_42_1 = e1)
% 171.72/26.07 | | | | | | | | | | | | | | | | | |
% 171.72/26.07 | | | | | | | | | | | | | | | | | | REDUCE: (693), (3798) imply:
% 171.72/26.07 | | | | | | | | | | | | | | | | | | (3824) op(all_42_1, e0) = all_65_71
% 171.72/26.07 | | | | | | | | | | | | | | | | | |
% 171.72/26.07 | | | | | | | | | | | | | | | | | | REDUCE: (681), (3802), (3815) imply:
% 171.72/26.07 | | | | | | | | | | | | | | | | | | (3825) op(all_42_1, e0) = e1
% 171.72/26.07 | | | | | | | | | | | | | | | | | |
% 171.72/26.07 | | | | | | | | | | | | | | | | | | REDUCE: (227), (3815) imply:
% 171.72/26.07 | | | | | | | | | | | | | | | | | | (3826) op(e1, e0) = all_42_1
% 171.72/26.07 | | | | | | | | | | | | | | | | | |
% 171.72/26.07 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e1, all_65_71, e0,
% 171.72/26.07 | | | | | | | | | | | | | | | | | | all_42_1, simplifying with (3824), (3825) gives:
% 171.72/26.07 | | | | | | | | | | | | | | | | | | (3827) all_65_71 = e1
% 171.72/26.07 | | | | | | | | | | | | | | | | | |
% 171.72/26.07 | | | | | | | | | | | | | | | | | | BETA: splitting (161) gives:
% 171.72/26.07 | | | | | | | | | | | | | | | | | |
% 171.72/26.07 | | | | | | | | | | | | | | | | | | Case 1:
% 171.72/26.07 | | | | | | | | | | | | | | | | | | |
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | (3828) ~ (all_58_2 = e2)
% 171.72/26.07 | | | | | | | | | | | | | | | | | | |
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | REDUCE: (478), (3828) imply:
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | (3829) ~ (all_52_2 = e2)
% 171.72/26.07 | | | | | | | | | | | | | | | | | | |
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | BETA: splitting (160) gives:
% 171.72/26.07 | | | | | | | | | | | | | | | | | | |
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | Case 1:
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | |
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | (3830) ~ (all_58_2 = e0)
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | |
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | REDUCE: (478), (3830) imply:
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | (3831) ~ (all_52_2 = e0)
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | |
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | BETA: splitting (162) gives:
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | |
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | Case 1:
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | (3832) ~ (all_58_2 = e3)
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | REDUCE: (478), (3832) imply:
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | (3833) ~ (all_52_2 = e3)
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (149) gives:
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | (3834) all_56_2 = e3
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (538), (3833), (3834) are inconsistent by
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | sub-proof #482.
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | (3835) all_56_2 = e2 | all_56_2 = e1 | all_56_2 = e0
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3835) gives:
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | | (3836) all_56_2 = e2
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (538), (3829), (3836) are inconsistent by
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #481.
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | | (3837) all_56_2 = e1 | all_56_2 = e0
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3837) gives:
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | | | (3838) all_56_2 = e1
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (538), (3838) imply:
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | | | (3839) all_52_2 = e1
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3839) implies:
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | | | (3840) all_52_2 = e1
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (748), (3840) imply:
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | | | (3841) op(e1, e1) = unit
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e1, unit, e1, e1,
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (876), (3841) gives:
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | | | (3842) unit = e1
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7), (3842) imply:
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | | | (3843) op(e1, e0) = e0
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6), (3842) imply:
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | | | (3844) op(e3, e1) = e3
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5), (3842) imply:
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | | | (3845) op(e2, e1) = e2
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_42_1, e0, e0, e1,
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (3826), (3843) gives:
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | | | (3846) all_42_1 = e0
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_9, e2, e1, e2,
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (232), (3845) gives:
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | | | (3847) all_61_9 = e2
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_8, e3, e1, e3,
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (236), (3844) gives:
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | | | (3848) all_61_8 = e3
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (187), (3848) imply:
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | | | (3849) ~ (all_61_12 = e3)
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3849) implies:
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | | | (3850) ~ (all_61_12 = e3)
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3208), (3848) imply:
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | | | (3851) ~ (all_14_1 = e3)
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3851) implies:
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | | | (3852) ~ (all_14_1 = e3)
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3200), (3847) imply:
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | | | (3853) ~ (all_14_1 = e2)
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3821), (3846) imply:
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | | | (3854) ~ (all_61_12 = e0)
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (268), (270), (491), (3160), (3194), (3210),
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | | | (3212), (3590), (3850), (3852), (3854) are
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #362.
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | | | (3855) all_56_2 = e0
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (538), (3831), (3855) are inconsistent by
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #480.
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | End of split
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | End of split
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | Case 2:
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | (3856) all_58_0 = e1
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (484), (3856) imply:
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | (3857) all_52_0 = e1
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | SIMP: (3857) implies:
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | (3858) all_52_0 = e1
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | REDUCE: (714), (3858) imply:
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | (3859) op(e3, e1) = unit
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_8, unit, e1, e3,
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | simplifying with (236), (3859) gives:
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | (3860) all_61_8 = unit
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (489), (3860) imply:
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | (3861) all_63_2 = unit
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | REDUCE: (187), (3860) imply:
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | (3862) ~ (all_61_12 = unit)
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | SIMP: (3862) implies:
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | (3863) ~ (all_61_12 = unit)
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | REDUCE: (3819), (3860) imply:
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | (3864) ~ (all_42_1 = unit)
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | SIMP: (3864) implies:
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | (3865) ~ (all_42_1 = unit)
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | REDUCE: (3208), (3860) imply:
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | (3866) ~ (all_14_1 = unit)
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | SIMP: (3866) implies:
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | (3867) ~ (all_14_1 = unit)
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | REDUCE: (3159), (3860) imply:
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | (3868) ~ (unit = e2)
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | REDUCE: (865), (3860) imply:
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | (3869) ~ (unit = e1)
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (269) gives:
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | (3870) all_63_2 = e3
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3861), (3870) imply:
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | (3871) unit = e3
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (851), (3871) imply:
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | (3872) $false
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3872) is inconsistent.
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | (3873) all_63_2 = e2 | all_63_2 = e1 | all_63_2 = e0
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3873) gives:
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | | (3874) all_63_2 = e2
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3861), (3874) imply:
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | | (3875) unit = e2
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3868), (3875) imply:
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | | (3876) $false
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3876) is inconsistent.
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | | (3877) all_63_2 = e1 | all_63_2 = e0
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3877) gives:
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | | | (3878) all_63_2 = e1
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3861), (3878) imply:
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | | | (3879) unit = e1
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3869), (3879) imply:
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | | | (3880) $false
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3880) is inconsistent.
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | | | (3881) all_63_2 = e0
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3861), (3881) imply:
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | | | (3882) unit = e0
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3863), (3882) imply:
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | | | (3883) ~ (all_61_12 = e0)
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3865), (3882) imply:
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | | | (3884) ~ (all_42_1 = e0)
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (268) gives:
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | (3885) all_63_3 = e3
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (491), (3885) imply:
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | (3886) all_61_12 = e3
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3821), (3886) imply:
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | (3887) ~ (all_42_1 = e3)
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3887) implies:
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | (3888) ~ (all_42_1 = e3)
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3633), (3886) imply:
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | (3889) ~ (all_22_1 = e3)
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3889) implies:
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | (3890) ~ (all_22_1 = e3)
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3210), (3886) imply:
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | (3891) ~ (all_14_1 = e3)
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3891) implies:
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | (3892) ~ (all_14_1 = e3)
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (267) gives:
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | (3893) all_63_4 = e3
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3193), (3893) imply:
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | (3894) all_14_1 = e3
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3892), (3894) imply:
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | (3895) $false
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3895) is inconsistent.
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | (3896) all_63_4 = e2 | all_63_4 = e1 | all_63_4 = e0
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (264) gives:
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3897) all_63_7 = e3
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3625), (3897) imply:
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3898) all_22_1 = e3
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3890), (3898) imply:
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3899) $false
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3899) is inconsistent.
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3900) all_63_7 = e2 | all_63_7 = e1 | all_63_7 = e0
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3900) gives:
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3901) all_63_7 = e2
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3625), (3901) imply:
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3902) all_22_1 = e2
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3822), (3902) imply:
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3903) ~ (all_42_1 = e2)
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (260), (3818), (3823), (3884), (3888), (3903) are
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #449.
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3904) all_63_7 = e1 | all_63_7 = e0
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (498), (3193), (3202), (3212), (3589), (3590),
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3896), (3904) are inconsistent by sub-proof #359.
% 171.72/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 171.72/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 171.72/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 171.72/26.08 | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.08 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 171.72/26.08 | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | (3905) all_63_3 = e2 | all_63_3 = e1 | all_63_3 = e0
% 171.72/26.08 | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (491), (3160), (3784), (3883), (3905) are
% 171.72/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #489.
% 171.72/26.08 | | | | | | | | | | | | | | | | | | | | | | | | |
% 171.72/26.08 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 171.72/26.08 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.07/26.08 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.07/26.08 | | | | | | | | | | | | | | | | | | | | | | |
% 172.07/26.08 | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.07/26.08 | | | | | | | | | | | | | | | | | | | | | |
% 172.07/26.08 | | | | | | | | | | | | | | | | | | | | | End of split
% 172.07/26.08 | | | | | | | | | | | | | | | | | | | | |
% 172.07/26.08 | | | | | | | | | | | | | | | | | | | | End of split
% 172.07/26.08 | | | | | | | | | | | | | | | | | | | |
% 172.07/26.08 | | | | | | | | | | | | | | | | | | | Case 2:
% 172.07/26.08 | | | | | | | | | | | | | | | | | | | |
% 172.07/26.08 | | | | | | | | | | | | | | | | | | | | (3906) all_58_3 = e1
% 172.07/26.08 | | | | | | | | | | | | | | | | | | | | (3907) all_58_2 = e0
% 172.07/26.08 | | | | | | | | | | | | | | | | | | | |
% 172.07/26.08 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (50), (475), (478), (633), (748), (3825),
% 172.07/26.08 | | | | | | | | | | | | | | | | | | | | (3826), (3906), (3907) are inconsistent by
% 172.07/26.08 | | | | | | | | | | | | | | | | | | | | sub-proof #476.
% 172.07/26.08 | | | | | | | | | | | | | | | | | | | |
% 172.07/26.08 | | | | | | | | | | | | | | | | | | | End of split
% 172.07/26.08 | | | | | | | | | | | | | | | | | | |
% 172.07/26.08 | | | | | | | | | | | | | | | | | | Case 2:
% 172.07/26.08 | | | | | | | | | | | | | | | | | | |
% 172.07/26.08 | | | | | | | | | | | | | | | | | | | (3908) all_58_1 = e1
% 172.07/26.08 | | | | | | | | | | | | | | | | | | |
% 172.07/26.08 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (481), (3908) imply:
% 172.07/26.08 | | | | | | | | | | | | | | | | | | | (3909) all_52_1 = e1
% 172.07/26.08 | | | | | | | | | | | | | | | | | | |
% 172.07/26.08 | | | | | | | | | | | | | | | | | | | SIMP: (3909) implies:
% 172.07/26.08 | | | | | | | | | | | | | | | | | | | (3910) all_52_1 = e1
% 172.07/26.08 | | | | | | | | | | | | | | | | | | |
% 172.07/26.08 | | | | | | | | | | | | | | | | | | | REDUCE: (731), (3910) imply:
% 172.07/26.08 | | | | | | | | | | | | | | | | | | | (3911) op(e2, e1) = unit
% 172.07/26.08 | | | | | | | | | | | | | | | | | | |
% 172.07/26.08 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_9, unit, e1, e2,
% 172.07/26.08 | | | | | | | | | | | | | | | | | | | simplifying with (232), (3911) gives:
% 172.07/26.08 | | | | | | | | | | | | | | | | | | | (3912) all_61_9 = unit
% 172.07/26.08 | | | | | | | | | | | | | | | | | | |
% 172.07/26.08 | | | | | | | | | | | | | | | | | | | REDUCE: (3820), (3912) imply:
% 172.07/26.08 | | | | | | | | | | | | | | | | | | | (3913) ~ (all_42_1 = unit)
% 172.07/26.08 | | | | | | | | | | | | | | | | | | |
% 172.07/26.08 | | | | | | | | | | | | | | | | | | | SIMP: (3913) implies:
% 172.07/26.08 | | | | | | | | | | | | | | | | | | | (3914) ~ (all_42_1 = unit)
% 172.07/26.08 | | | | | | | | | | | | | | | | | | |
% 172.07/26.08 | | | | | | | | | | | | | | | | | | | REDUCE: (3632), (3912) imply:
% 172.07/26.08 | | | | | | | | | | | | | | | | | | | (3915) ~ (all_22_1 = unit)
% 172.07/26.08 | | | | | | | | | | | | | | | | | | |
% 172.07/26.08 | | | | | | | | | | | | | | | | | | | SIMP: (3915) implies:
% 172.07/26.08 | | | | | | | | | | | | | | | | | | | (3916) ~ (all_22_1 = unit)
% 172.07/26.08 | | | | | | | | | | | | | | | | | | |
% 172.07/26.08 | | | | | | | | | | | | | | | | | | | REDUCE: (866), (3912) imply:
% 172.07/26.08 | | | | | | | | | | | | | | | | | | | (3917) ~ (unit = e1)
% 172.07/26.08 | | | | | | | | | | | | | | | | | | |
% 172.07/26.08 | | | | | | | | | | | | | | | | | | | REDUCE: (3588), (3912) imply:
% 172.07/26.08 | | | | | | | | | | | | | | | | | | | (3918) ~ (unit = e0)
% 172.07/26.08 | | | | | | | | | | | | | | | | | | |
% 172.07/26.08 | | | | | | | | | | | | | | | | | | | BETA: splitting (852) gives:
% 172.07/26.08 | | | | | | | | | | | | | | | | | | |
% 172.07/26.08 | | | | | | | | | | | | | | | | | | | Case 1:
% 172.07/26.08 | | | | | | | | | | | | | | | | | | | |
% 172.07/26.08 | | | | | | | | | | | | | | | | | | | | (3919) unit = e2
% 172.07/26.08 | | | | | | | | | | | | | | | | | | | |
% 172.07/26.08 | | | | | | | | | | | | | | | | | | | | REDUCE: (3914), (3919) imply:
% 172.07/26.08 | | | | | | | | | | | | | | | | | | | | (3920) ~ (all_42_1 = e2)
% 172.07/26.08 | | | | | | | | | | | | | | | | | | | |
% 172.07/26.08 | | | | | | | | | | | | | | | | | | | | REDUCE: (3916), (3919) imply:
% 172.07/26.08 | | | | | | | | | | | | | | | | | | | | (3921) ~ (all_22_1 = e2)
% 172.07/26.08 | | | | | | | | | | | | | | | | | | | |
% 172.07/26.08 | | | | | | | | | | | | | | | | | | | | BETA: splitting (264) gives:
% 172.07/26.08 | | | | | | | | | | | | | | | | | | | |
% 172.07/26.08 | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.07/26.08 | | | | | | | | | | | | | | | | | | | | |
% 172.07/26.08 | | | | | | | | | | | | | | | | | | | | | (3922) all_63_7 = e3
% 172.07/26.08 | | | | | | | | | | | | | | | | | | | | |
% 172.07/26.08 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3625), (3922) imply:
% 172.07/26.08 | | | | | | | | | | | | | | | | | | | | | (3923) all_22_1 = e3
% 172.07/26.08 | | | | | | | | | | | | | | | | | | | | |
% 172.07/26.08 | | | | | | | | | | | | | | | | | | | | | REDUCE: (3633), (3923) imply:
% 172.07/26.08 | | | | | | | | | | | | | | | | | | | | | (3924) ~ (all_61_12 = e3)
% 172.07/26.08 | | | | | | | | | | | | | | | | | | | | |
% 172.07/26.08 | | | | | | | | | | | | | | | | | | | | | REDUCE: (3822), (3923) imply:
% 172.07/26.08 | | | | | | | | | | | | | | | | | | | | | (3925) ~ (all_42_1 = e3)
% 172.07/26.08 | | | | | | | | | | | | | | | | | | | | |
% 172.07/26.08 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (257) gives:
% 172.07/26.08 | | | | | | | | | | | | | | | | | | | | |
% 172.07/26.08 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.07/26.08 | | | | | | | | | | | | | | | | | | | | | |
% 172.07/26.08 | | | | | | | | | | | | | | | | | | | | | | (3926) all_63_14 = e3
% 172.07/26.08 | | | | | | | | | | | | | | | | | | | | | |
% 172.07/26.08 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3817), (3926) imply:
% 172.07/26.08 | | | | | | | | | | | | | | | | | | | | | | (3927) all_42_1 = e3
% 172.07/26.08 | | | | | | | | | | | | | | | | | | | | | |
% 172.07/26.08 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3925), (3927) imply:
% 172.07/26.08 | | | | | | | | | | | | | | | | | | | | | | (3928) $false
% 172.07/26.08 | | | | | | | | | | | | | | | | | | | | | |
% 172.07/26.08 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3928) is inconsistent.
% 172.07/26.08 | | | | | | | | | | | | | | | | | | | | | |
% 172.07/26.08 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.07/26.08 | | | | | | | | | | | | | | | | | | | | | |
% 172.07/26.08 | | | | | | | | | | | | | | | | | | | | | | (3929) all_63_14 = e2 | all_63_14 = e1 | all_63_14 = e0
% 172.07/26.08 | | | | | | | | | | | | | | | | | | | | | |
% 172.07/26.08 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3929) gives:
% 172.07/26.08 | | | | | | | | | | | | | | | | | | | | | |
% 172.07/26.08 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.07/26.08 | | | | | | | | | | | | | | | | | | | | | | |
% 172.07/26.08 | | | | | | | | | | | | | | | | | | | | | | | (3930) all_63_14 = e2
% 172.07/26.08 | | | | | | | | | | | | | | | | | | | | | | |
% 172.07/26.08 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3817), (3930) imply:
% 172.07/26.08 | | | | | | | | | | | | | | | | | | | | | | | (3931) all_42_1 = e2
% 172.07/26.08 | | | | | | | | | | | | | | | | | | | | | | |
% 172.07/26.08 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3920), (3931) imply:
% 172.07/26.08 | | | | | | | | | | | | | | | | | | | | | | | (3932) $false
% 172.07/26.08 | | | | | | | | | | | | | | | | | | | | | | |
% 172.07/26.08 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3932) is inconsistent.
% 172.07/26.08 | | | | | | | | | | | | | | | | | | | | | | |
% 172.07/26.08 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.07/26.08 | | | | | | | | | | | | | | | | | | | | | | |
% 172.07/26.08 | | | | | | | | | | | | | | | | | | | | | | | (3933) all_63_14 = e1 | all_63_14 = e0
% 172.07/26.08 | | | | | | | | | | | | | | | | | | | | | | |
% 172.07/26.08 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (268), (491), (510), (867), (3160), (3628),
% 172.07/26.08 | | | | | | | | | | | | | | | | | | | | | | | (3784), (3924), (3933) are inconsistent by
% 172.07/26.08 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #350.
% 172.07/26.08 | | | | | | | | | | | | | | | | | | | | | | |
% 172.07/26.08 | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.07/26.08 | | | | | | | | | | | | | | | | | | | | | |
% 172.07/26.08 | | | | | | | | | | | | | | | | | | | | | End of split
% 172.07/26.08 | | | | | | | | | | | | | | | | | | | | |
% 172.07/26.08 | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.07/26.08 | | | | | | | | | | | | | | | | | | | | |
% 172.07/26.08 | | | | | | | | | | | | | | | | | | | | | (3934) ~ (all_63_7 = e3)
% 172.07/26.08 | | | | | | | | | | | | | | | | | | | | |
% 172.07/26.08 | | | | | | | | | | | | | | | | | | | | | REDUCE: (3625), (3934) imply:
% 172.07/26.08 | | | | | | | | | | | | | | | | | | | | | (3935) ~ (all_22_1 = e3)
% 172.07/26.08 | | | | | | | | | | | | | | | | | | | | |
% 172.07/26.08 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (258), (3623), (3638), (3785), (3921), (3935) are
% 172.07/26.08 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #414.
% 172.07/26.08 | | | | | | | | | | | | | | | | | | | | |
% 172.07/26.08 | | | | | | | | | | | | | | | | | | | | End of split
% 172.07/26.08 | | | | | | | | | | | | | | | | | | | |
% 172.07/26.08 | | | | | | | | | | | | | | | | | | | Case 2:
% 172.07/26.08 | | | | | | | | | | | | | | | | | | | |
% 172.07/26.08 | | | | | | | | | | | | | | | | | | | | (3936) unit = e1 | unit = e0
% 172.07/26.08 | | | | | | | | | | | | | | | | | | | |
% 172.07/26.08 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3917), (3918), (3936) are inconsistent by
% 172.07/26.08 | | | | | | | | | | | | | | | | | | | | sub-proof #419.
% 172.07/26.08 | | | | | | | | | | | | | | | | | | | |
% 172.07/26.08 | | | | | | | | | | | | | | | | | | | End of split
% 172.07/26.08 | | | | | | | | | | | | | | | | | | |
% 172.07/26.08 | | | | | | | | | | | | | | | | | | End of split
% 172.07/26.08 | | | | | | | | | | | | | | | | | |
% 172.07/26.08 | | | | | | | | | | | | | | | | | End of split
% 172.07/26.08 | | | | | | | | | | | | | | | | |
% 172.07/26.08 | | | | | | | | | | | | | | | | End of split
% 172.07/26.08 | | | | | | | | | | | | | | | |
% 172.07/26.08 | | | | | | | | | | | | | | | Case 2:
% 172.07/26.08 | | | | | | | | | | | | | | | |
% 172.07/26.08 | | | | | | | | | | | | | | | | (3937) all_28_2 = e3
% 172.07/26.08 | | | | | | | | | | | | | | | |
% 172.07/26.08 | | | | | | | | | | | | | | | | COMBINE_EQS: (563), (3937) imply:
% 172.07/26.08 | | | | | | | | | | | | | | | | (3938) all_20_2 = e3
% 172.07/26.08 | | | | | | | | | | | | | | | |
% 172.07/26.08 | | | | | | | | | | | | | | | | REDUCE: (624), (3938) imply:
% 172.07/26.08 | | | | | | | | | | | | | | | | (3939) ~ (all_61_11 = e3)
% 172.07/26.08 | | | | | | | | | | | | | | | |
% 172.07/26.08 | | | | | | | | | | | | | | | | REDUCE: (3636), (3938) imply:
% 172.07/26.08 | | | | | | | | | | | | | | | | (3940) ~ (all_22_1 = e3)
% 172.07/26.08 | | | | | | | | | | | | | | | |
% 172.07/26.08 | | | | | | | | | | | | | | | | REDUCE: (3640), (3938) imply:
% 172.07/26.08 | | | | | | | | | | | | | | | | (3941) op(all_22_1, e2) = e3
% 172.07/26.08 | | | | | | | | | | | | | | | |
% 172.07/26.08 | | | | | | | | | | | | | | | | REDUCE: (76), (3938) imply:
% 172.07/26.08 | | | | | | | | | | | | | | | | (3942) op(e0, e0) = e3
% 172.07/26.08 | | | | | | | | | | | | | | | |
% 172.07/26.08 | | | | | | | | | | | | | | | | BETA: splitting (157) gives:
% 172.07/26.08 | | | | | | | | | | | | | | | |
% 172.07/26.08 | | | | | | | | | | | | | | | | Case 1:
% 172.07/26.08 | | | | | | | | | | | | | | | | |
% 172.07/26.08 | | | | | | | | | | | | | | | | | (3943) ~ (all_58_3 = e1)
% 172.07/26.08 | | | | | | | | | | | | | | | | |
% 172.07/26.08 | | | | | | | | | | | | | | | | | REDUCE: (475), (3943) imply:
% 172.07/26.08 | | | | | | | | | | | | | | | | | (3944) ~ (all_52_3 = e1)
% 172.07/26.08 | | | | | | | | | | | | | | | | |
% 172.07/26.08 | | | | | | | | | | | | | | | | | BETA: splitting (161) gives:
% 172.07/26.08 | | | | | | | | | | | | | | | | |
% 172.07/26.08 | | | | | | | | | | | | | | | | | Case 1:
% 172.07/26.08 | | | | | | | | | | | | | | | | | |
% 172.07/26.08 | | | | | | | | | | | | | | | | | | (3945) ~ (all_58_2 = e2)
% 172.07/26.08 | | | | | | | | | | | | | | | | | |
% 172.07/26.08 | | | | | | | | | | | | | | | | | | REDUCE: (478), (3945) imply:
% 172.07/26.08 | | | | | | | | | | | | | | | | | | (3946) ~ (all_52_2 = e2)
% 172.07/26.08 | | | | | | | | | | | | | | | | | |
% 172.07/26.08 | | | | | | | | | | | | | | | | | | BETA: splitting (164) gives:
% 172.07/26.08 | | | | | | | | | | | | | | | | | |
% 172.07/26.08 | | | | | | | | | | | | | | | | | | Case 1:
% 172.07/26.08 | | | | | | | | | | | | | | | | | | |
% 172.07/26.08 | | | | | | | | | | | | | | | | | | | (3947) ~ (all_58_1 = e1)
% 172.07/26.08 | | | | | | | | | | | | | | | | | | |
% 172.07/26.08 | | | | | | | | | | | | | | | | | | | REDUCE: (481), (3947) imply:
% 172.07/26.08 | | | | | | | | | | | | | | | | | | | (3948) ~ (all_52_1 = e1)
% 172.07/26.08 | | | | | | | | | | | | | | | | | | |
% 172.07/26.08 | | | | | | | | | | | | | | | | | | | BETA: splitting (159) gives:
% 172.07/26.08 | | | | | | | | | | | | | | | | | | |
% 172.07/26.08 | | | | | | | | | | | | | | | | | | | Case 1:
% 172.07/26.08 | | | | | | | | | | | | | | | | | | | |
% 172.07/26.08 | | | | | | | | | | | | | | | | | | | | (3949) ~ (all_58_3 = e3)
% 172.07/26.08 | | | | | | | | | | | | | | | | | | | |
% 172.07/26.08 | | | | | | | | | | | | | | | | | | | | REDUCE: (475), (3949) imply:
% 172.07/26.08 | | | | | | | | | | | | | | | | | | | | (3950) ~ (all_52_3 = e3)
% 172.07/26.08 | | | | | | | | | | | | | | | | | | | |
% 172.07/26.08 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (9), (50), (148), (150), (163), (164), (165),
% 172.07/26.08 | | | | | | | | | | | | | | | | | | | | (475), (478), (481), (484), (536), (539), (630),
% 172.07/26.08 | | | | | | | | | | | | | | | | | | | | (632), (731), (765), (851), (3584), (3597),
% 172.07/26.08 | | | | | | | | | | | | | | | | | | | | (3941), (3942), (3944), (3946), (3950) are
% 172.07/26.08 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #347.
% 172.07/26.08 | | | | | | | | | | | | | | | | | | | |
% 172.07/26.08 | | | | | | | | | | | | | | | | | | | Case 2:
% 172.07/26.08 | | | | | | | | | | | | | | | | | | | |
% 172.07/26.08 | | | | | | | | | | | | | | | | | | | | (3951) all_58_3 = e3
% 172.07/26.08 | | | | | | | | | | | | | | | | | | | | (3952) all_58_0 = e0
% 172.07/26.08 | | | | | | | | | | | | | | | | | | | |
% 172.07/26.08 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (50), (150), (227), (475), (484), (536),
% 172.07/26.08 | | | | | | | | | | | | | | | | | | | | (628), (632), (731), (868), (3597), (3948),
% 172.07/26.08 | | | | | | | | | | | | | | | | | | | | (3951), (3952) are inconsistent by sub-proof #372.
% 172.07/26.08 | | | | | | | | | | | | | | | | | | | |
% 172.07/26.08 | | | | | | | | | | | | | | | | | | | End of split
% 172.07/26.08 | | | | | | | | | | | | | | | | | | |
% 172.07/26.08 | | | | | | | | | | | | | | | | | | Case 2:
% 172.07/26.08 | | | | | | | | | | | | | | | | | | |
% 172.07/26.08 | | | | | | | | | | | | | | | | | | | (3953) all_58_2 = e2
% 172.07/26.08 | | | | | | | | | | | | | | | | | | |
% 172.07/26.08 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (478), (3953) imply:
% 172.07/26.08 | | | | | | | | | | | | | | | | | | | (3954) all_52_2 = e2
% 172.07/26.08 | | | | | | | | | | | | | | | | | | |
% 172.07/26.08 | | | | | | | | | | | | | | | | | | | REDUCE: (3946), (3954) imply:
% 172.07/26.08 | | | | | | | | | | | | | | | | | | | (3955) $false
% 172.07/26.08 | | | | | | | | | | | | | | | | | | |
% 172.07/26.08 | | | | | | | | | | | | | | | | | | | CLOSE: (3955) is inconsistent.
% 172.07/26.08 | | | | | | | | | | | | | | | | | | |
% 172.07/26.08 | | | | | | | | | | | | | | | | | | End of split
% 172.07/26.08 | | | | | | | | | | | | | | | | | |
% 172.07/26.08 | | | | | | | | | | | | | | | | | Case 2:
% 172.07/26.08 | | | | | | | | | | | | | | | | | |
% 172.07/26.08 | | | | | | | | | | | | | | | | | | (3956) all_58_1 = e1
% 172.07/26.09 | | | | | | | | | | | | | | | | | |
% 172.07/26.09 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (481), (3956) imply:
% 172.12/26.09 | | | | | | | | | | | | | | | | | | (3957) all_52_1 = e1
% 172.12/26.09 | | | | | | | | | | | | | | | | | |
% 172.12/26.09 | | | | | | | | | | | | | | | | | | SIMP: (3957) implies:
% 172.12/26.09 | | | | | | | | | | | | | | | | | | (3958) all_52_1 = e1
% 172.12/26.09 | | | | | | | | | | | | | | | | | |
% 172.12/26.09 | | | | | | | | | | | | | | | | | | REDUCE: (731), (3958) imply:
% 172.12/26.09 | | | | | | | | | | | | | | | | | | (3959) op(e2, e1) = unit
% 172.12/26.09 | | | | | | | | | | | | | | | | | |
% 172.12/26.09 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_9, unit, e1, e2,
% 172.12/26.09 | | | | | | | | | | | | | | | | | | simplifying with (232), (3959) gives:
% 172.12/26.09 | | | | | | | | | | | | | | | | | | (3960) all_61_9 = unit
% 172.12/26.09 | | | | | | | | | | | | | | | | | |
% 172.12/26.09 | | | | | | | | | | | | | | | | | | REDUCE: (190), (3960) imply:
% 172.12/26.09 | | | | | | | | | | | | | | | | | | (3961) ~ (all_61_8 = unit)
% 172.12/26.09 | | | | | | | | | | | | | | | | | |
% 172.12/26.09 | | | | | | | | | | | | | | | | | | REDUCE: (185), (3960) imply:
% 172.12/26.09 | | | | | | | | | | | | | | | | | | (3962) ~ (all_61_11 = unit)
% 172.12/26.09 | | | | | | | | | | | | | | | | | |
% 172.12/26.09 | | | | | | | | | | | | | | | | | | SIMP: (3962) implies:
% 172.12/26.09 | | | | | | | | | | | | | | | | | | (3963) ~ (all_61_11 = unit)
% 172.12/26.09 | | | | | | | | | | | | | | | | | |
% 172.12/26.09 | | | | | | | | | | | | | | | | | | REDUCE: (3632), (3960) imply:
% 172.12/26.09 | | | | | | | | | | | | | | | | | | (3964) ~ (all_22_1 = unit)
% 172.12/26.09 | | | | | | | | | | | | | | | | | |
% 172.12/26.09 | | | | | | | | | | | | | | | | | | SIMP: (3964) implies:
% 172.12/26.09 | | | | | | | | | | | | | | | | | | (3965) ~ (all_22_1 = unit)
% 172.12/26.09 | | | | | | | | | | | | | | | | | |
% 172.12/26.09 | | | | | | | | | | | | | | | | | | REDUCE: (3200), (3960) imply:
% 172.12/26.09 | | | | | | | | | | | | | | | | | | (3966) ~ (all_14_1 = unit)
% 172.12/26.09 | | | | | | | | | | | | | | | | | |
% 172.12/26.09 | | | | | | | | | | | | | | | | | | SIMP: (3966) implies:
% 172.12/26.09 | | | | | | | | | | | | | | | | | | (3967) ~ (all_14_1 = unit)
% 172.12/26.09 | | | | | | | | | | | | | | | | | |
% 172.12/26.09 | | | | | | | | | | | | | | | | | | REDUCE: (866), (3960) imply:
% 172.12/26.09 | | | | | | | | | | | | | | | | | | (3968) ~ (unit = e1)
% 172.12/26.09 | | | | | | | | | | | | | | | | | |
% 172.12/26.09 | | | | | | | | | | | | | | | | | | REDUCE: (3588), (3960) imply:
% 172.12/26.09 | | | | | | | | | | | | | | | | | | (3969) ~ (unit = e0)
% 172.12/26.09 | | | | | | | | | | | | | | | | | |
% 172.12/26.09 | | | | | | | | | | | | | | | | | | BETA: splitting (852) gives:
% 172.12/26.09 | | | | | | | | | | | | | | | | | |
% 172.12/26.09 | | | | | | | | | | | | | | | | | | Case 1:
% 172.12/26.09 | | | | | | | | | | | | | | | | | | |
% 172.12/26.09 | | | | | | | | | | | | | | | | | | | (3970) unit = e2
% 172.12/26.09 | | | | | | | | | | | | | | | | | | |
% 172.12/26.09 | | | | | | | | | | | | | | | | | | | REDUCE: (3963), (3970) imply:
% 172.12/26.09 | | | | | | | | | | | | | | | | | | | (3971) ~ (all_61_11 = e2)
% 172.12/26.09 | | | | | | | | | | | | | | | | | | |
% 172.12/26.09 | | | | | | | | | | | | | | | | | | | REDUCE: (3965), (3970) imply:
% 172.12/26.09 | | | | | | | | | | | | | | | | | | | (3972) ~ (all_22_1 = e2)
% 172.12/26.09 | | | | | | | | | | | | | | | | | | |
% 172.12/26.09 | | | | | | | | | | | | | | | | | | | BETA: splitting (257) gives:
% 172.12/26.09 | | | | | | | | | | | | | | | | | | |
% 172.12/26.09 | | | | | | | | | | | | | | | | | | | Case 1:
% 172.12/26.09 | | | | | | | | | | | | | | | | | | | |
% 172.12/26.09 | | | | | | | | | | | | | | | | | | | | (3973) all_63_14 = e3
% 172.12/26.09 | | | | | | | | | | | | | | | | | | | |
% 172.12/26.09 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (510), (3973) imply:
% 172.12/26.09 | | | | | | | | | | | | | | | | | | | | (3974) all_61_11 = e3
% 172.12/26.09 | | | | | | | | | | | | | | | | | | | |
% 172.12/26.09 | | | | | | | | | | | | | | | | | | | | REDUCE: (3939), (3974) imply:
% 172.12/26.09 | | | | | | | | | | | | | | | | | | | | (3975) $false
% 172.12/26.09 | | | | | | | | | | | | | | | | | | | |
% 172.12/26.09 | | | | | | | | | | | | | | | | | | | | CLOSE: (3975) is inconsistent.
% 172.12/26.09 | | | | | | | | | | | | | | | | | | | |
% 172.12/26.09 | | | | | | | | | | | | | | | | | | | Case 2:
% 172.12/26.09 | | | | | | | | | | | | | | | | | | | |
% 172.12/26.09 | | | | | | | | | | | | | | | | | | | | (3976) all_63_14 = e2 | all_63_14 = e1 | all_63_14 = e0
% 172.12/26.09 | | | | | | | | | | | | | | | | | | | |
% 172.12/26.09 | | | | | | | | | | | | | | | | | | | | BETA: splitting (3976) gives:
% 172.12/26.09 | | | | | | | | | | | | | | | | | | | |
% 172.12/26.09 | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.12/26.09 | | | | | | | | | | | | | | | | | | | | |
% 172.12/26.09 | | | | | | | | | | | | | | | | | | | | | (3977) all_63_14 = e2
% 172.12/26.09 | | | | | | | | | | | | | | | | | | | | |
% 172.12/26.09 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (510), (3977) imply:
% 172.12/26.09 | | | | | | | | | | | | | | | | | | | | | (3978) all_61_11 = e2
% 172.12/26.09 | | | | | | | | | | | | | | | | | | | | |
% 172.12/26.09 | | | | | | | | | | | | | | | | | | | | | REDUCE: (3971), (3978) imply:
% 172.12/26.09 | | | | | | | | | | | | | | | | | | | | | (3979) $false
% 172.12/26.09 | | | | | | | | | | | | | | | | | | | | |
% 172.12/26.09 | | | | | | | | | | | | | | | | | | | | | CLOSE: (3979) is inconsistent.
% 172.12/26.09 | | | | | | | | | | | | | | | | | | | | |
% 172.12/26.09 | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.12/26.09 | | | | | | | | | | | | | | | | | | | | |
% 172.12/26.09 | | | | | | | | | | | | | | | | | | | | | (3980) all_63_14 = e1 | all_63_14 = e0
% 172.12/26.09 | | | | | | | | | | | | | | | | | | | | |
% 172.12/26.09 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3980) gives:
% 172.12/26.09 | | | | | | | | | | | | | | | | | | | | |
% 172.12/26.09 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.12/26.09 | | | | | | | | | | | | | | | | | | | | | |
% 172.12/26.09 | | | | | | | | | | | | | | | | | | | | | | (3981) all_63_14 = e1
% 172.12/26.09 | | | | | | | | | | | | | | | | | | | | | |
% 172.12/26.09 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (510), (3981) imply:
% 172.12/26.09 | | | | | | | | | | | | | | | | | | | | | | (3982) all_61_11 = e1
% 172.12/26.09 | | | | | | | | | | | | | | | | | | | | | |
% 172.12/26.09 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (867), (3982) imply:
% 172.12/26.09 | | | | | | | | | | | | | | | | | | | | | | (3983) $false
% 172.12/26.09 | | | | | | | | | | | | | | | | | | | | | |
% 172.12/26.09 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3983) is inconsistent.
% 172.12/26.09 | | | | | | | | | | | | | | | | | | | | | |
% 172.12/26.09 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.12/26.09 | | | | | | | | | | | | | | | | | | | | | |
% 172.12/26.09 | | | | | | | | | | | | | | | | | | | | | | (3984) all_63_14 = e0
% 172.12/26.09 | | | | | | | | | | | | | | | | | | | | | |
% 172.12/26.09 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (510), (3984) imply:
% 172.12/26.09 | | | | | | | | | | | | | | | | | | | | | | (3985) all_61_11 = e0
% 172.12/26.09 | | | | | | | | | | | | | | | | | | | | | |
% 172.12/26.09 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (188), (3985) imply:
% 172.12/26.09 | | | | | | | | | | | | | | | | | | | | | | (3986) ~ (all_61_8 = e0)
% 172.12/26.09 | | | | | | | | | | | | | | | | | | | | | |
% 172.12/26.09 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3631), (3985) imply:
% 172.12/26.09 | | | | | | | | | | | | | | | | | | | | | | (3987) ~ (all_22_1 = e0)
% 172.12/26.09 | | | | | | | | | | | | | | | | | | | | | |
% 172.12/26.09 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (258) gives:
% 172.12/26.09 | | | | | | | | | | | | | | | | | | | | | |
% 172.12/26.09 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.12/26.09 | | | | | | | | | | | | | | | | | | | | | | |
% 172.12/26.09 | | | | | | | | | | | | | | | | | | | | | | | (3988) all_63_13 = e3
% 172.12/26.09 | | | | | | | | | | | | | | | | | | | | | | |
% 172.12/26.09 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3623), (3988) imply:
% 172.12/26.09 | | | | | | | | | | | | | | | | | | | | | | | (3989) all_22_1 = e3
% 172.12/26.09 | | | | | | | | | | | | | | | | | | | | | | |
% 172.12/26.09 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3940), (3989) imply:
% 172.12/26.09 | | | | | | | | | | | | | | | | | | | | | | | (3990) $false
% 172.12/26.09 | | | | | | | | | | | | | | | | | | | | | | |
% 172.12/26.09 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3990) is inconsistent.
% 172.12/26.09 | | | | | | | | | | | | | | | | | | | | | | |
% 172.12/26.09 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.12/26.09 | | | | | | | | | | | | | | | | | | | | | | |
% 172.12/26.09 | | | | | | | | | | | | | | | | | | | | | | | (3991) all_63_13 = e2 | all_63_13 = e1 | all_63_13 = e0
% 172.12/26.09 | | | | | | | | | | | | | | | | | | | | | | |
% 172.12/26.09 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (269) gives:
% 172.12/26.09 | | | | | | | | | | | | | | | | | | | | | | |
% 172.12/26.09 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.12/26.09 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.12/26.09 | | | | | | | | | | | | | | | | | | | | | | | | (3992) all_63_2 = e3
% 172.12/26.09 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.12/26.09 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (489), (3992) imply:
% 172.12/26.09 | | | | | | | | | | | | | | | | | | | | | | | | (3993) all_61_8 = e3
% 172.12/26.09 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.12/26.09 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3208), (3993) imply:
% 172.12/26.09 | | | | | | | | | | | | | | | | | | | | | | | | (3994) ~ (all_14_1 = e3)
% 172.12/26.09 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.12/26.09 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3994) implies:
% 172.12/26.09 | | | | | | | | | | | | | | | | | | | | | | | | (3995) ~ (all_14_1 = e3)
% 172.12/26.09 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.12/26.09 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (267), (3193), (3212), (3590), (3623), (3637),
% 172.12/26.09 | | | | | | | | | | | | | | | | | | | | | | | | (3638), (3972), (3991), (3995) are inconsistent by
% 172.12/26.09 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #352.
% 172.12/26.09 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.12/26.09 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.12/26.09 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.12/26.09 | | | | | | | | | | | | | | | | | | | | | | | | (3996) all_63_2 = e2 | all_63_2 = e1 | all_63_2 = e0
% 172.12/26.09 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.12/26.09 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (489), (865), (3159), (3986), (3996) are
% 172.12/26.09 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #401.
% 172.12/26.09 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.12/26.09 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.12/26.09 | | | | | | | | | | | | | | | | | | | | | | |
% 172.12/26.09 | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.12/26.09 | | | | | | | | | | | | | | | | | | | | | |
% 172.12/26.09 | | | | | | | | | | | | | | | | | | | | | End of split
% 172.12/26.09 | | | | | | | | | | | | | | | | | | | | |
% 172.12/26.09 | | | | | | | | | | | | | | | | | | | | End of split
% 172.12/26.09 | | | | | | | | | | | | | | | | | | | |
% 172.12/26.09 | | | | | | | | | | | | | | | | | | | End of split
% 172.12/26.09 | | | | | | | | | | | | | | | | | | |
% 172.12/26.09 | | | | | | | | | | | | | | | | | | Case 2:
% 172.12/26.09 | | | | | | | | | | | | | | | | | | |
% 172.12/26.09 | | | | | | | | | | | | | | | | | | | (3997) unit = e1 | unit = e0
% 172.12/26.09 | | | | | | | | | | | | | | | | | | |
% 172.12/26.09 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3968), (3969), (3997) are inconsistent by
% 172.12/26.09 | | | | | | | | | | | | | | | | | | | sub-proof #419.
% 172.12/26.09 | | | | | | | | | | | | | | | | | | |
% 172.12/26.09 | | | | | | | | | | | | | | | | | | End of split
% 172.12/26.09 | | | | | | | | | | | | | | | | | |
% 172.12/26.09 | | | | | | | | | | | | | | | | | End of split
% 172.12/26.09 | | | | | | | | | | | | | | | | |
% 172.12/26.09 | | | | | | | | | | | | | | | | Case 2:
% 172.12/26.09 | | | | | | | | | | | | | | | | |
% 172.12/26.09 | | | | | | | | | | | | | | | | | (3998) all_58_3 = e1
% 172.12/26.09 | | | | | | | | | | | | | | | | | (3999) all_58_2 = e0
% 172.12/26.09 | | | | | | | | | | | | | | | | |
% 172.12/26.09 | | | | | | | | | | | | | | | | | COMBINE_EQS: (478), (3999) imply:
% 172.12/26.09 | | | | | | | | | | | | | | | | | (4000) all_52_2 = e0
% 172.12/26.09 | | | | | | | | | | | | | | | | |
% 172.12/26.09 | | | | | | | | | | | | | | | | | COMBINE_EQS: (475), (3998) imply:
% 172.12/26.09 | | | | | | | | | | | | | | | | | (4001) all_52_3 = e1
% 172.12/26.09 | | | | | | | | | | | | | | | | |
% 172.12/26.09 | | | | | | | | | | | | | | | | | REDUCE: (748), (4000) imply:
% 172.12/26.09 | | | | | | | | | | | | | | | | | (4002) op(e1, e0) = unit
% 172.12/26.09 | | | | | | | | | | | | | | | | |
% 172.12/26.09 | | | | | | | | | | | | | | | | | REDUCE: (765), (4001) imply:
% 172.12/26.09 | | | | | | | | | | | | | | | | | (4003) op(e0, e1) = unit
% 172.12/26.09 | | | | | | | | | | | | | | | | |
% 172.12/26.09 | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (50), (224), (227), (680), (868), (886),
% 172.12/26.09 | | | | | | | | | | | | | | | | | (4002), (4003) are inconsistent by sub-proof #496.
% 172.12/26.09 | | | | | | | | | | | | | | | | |
% 172.12/26.09 | | | | | | | | | | | | | | | | End of split
% 172.12/26.09 | | | | | | | | | | | | | | | |
% 172.12/26.09 | | | | | | | | | | | | | | | End of split
% 172.12/26.09 | | | | | | | | | | | | | | |
% 172.12/26.09 | | | | | | | | | | | | | | End of split
% 172.12/26.09 | | | | | | | | | | | | | |
% 172.12/26.09 | | | | | | | | | | | | | End of split
% 172.12/26.09 | | | | | | | | | | | | |
% 172.12/26.09 | | | | | | | | | | | | Case 2:
% 172.12/26.09 | | | | | | | | | | | | |
% 172.12/26.09 | | | | | | | | | | | | | (4004) all_20_2 = e2
% 172.12/26.09 | | | | | | | | | | | | | (4005) op(e0, e2) = all_20_1 & $i(all_20_1) & ( ~
% 172.12/26.09 | | | | | | | | | | | | | (all_20_1 = e1) | ( ~ (all_20_0 = e3) & op(e1,
% 172.12/26.09 | | | | | | | | | | | | | e0) = all_20_0 & $i(all_20_0)))
% 172.12/26.09 | | | | | | | | | | | | |
% 172.12/26.09 | | | | | | | | | | | | | ALPHA: (4005) implies:
% 172.12/26.09 | | | | | | | | | | | | | (4006) op(e0, e2) = all_20_1
% 172.12/26.09 | | | | | | | | | | | | |
% 172.12/26.09 | | | | | | | | | | | | | REDUCE: (624), (4004) imply:
% 172.12/26.09 | | | | | | | | | | | | | (4007) ~ (all_61_11 = e2)
% 172.12/26.09 | | | | | | | | | | | | |
% 172.12/26.09 | | | | | | | | | | | | | REDUCE: (626), (4004) imply:
% 172.12/26.09 | | | | | | | | | | | | | (4008) ~ (all_61_13 = e2)
% 172.12/26.09 | | | | | | | | | | | | |
% 172.12/26.09 | | | | | | | | | | | | | REDUCE: (627), (4004) imply:
% 172.12/26.09 | | | | | | | | | | | | | (4009) ~ (all_61_14 = e2)
% 172.12/26.09 | | | | | | | | | | | | |
% 172.12/26.09 | | | | | | | | | | | | | REDUCE: (695), (4004) imply:
% 172.12/26.09 | | | | | | | | | | | | | (4010) op(e2, e2) = all_65_75
% 172.12/26.09 | | | | | | | | | | | | |
% 172.12/26.09 | | | | | | | | | | | | | REDUCE: (696), (4004) imply:
% 172.12/26.09 | | | | | | | | | | | | | (4011) op(e2, e1) = all_65_77
% 172.12/26.09 | | | | | | | | | | | | |
% 172.12/26.09 | | | | | | | | | | | | | REDUCE: (697), (4004) imply:
% 172.12/26.09 | | | | | | | | | | | | | (4012) op(e2, e0) = all_65_78
% 172.12/26.09 | | | | | | | | | | | | |
% 172.12/26.09 | | | | | | | | | | | | | REDUCE: (713), (4004) imply:
% 172.12/26.09 | | | | | | | | | | | | | (4013) op(e3, e2) = all_65_15
% 172.12/26.09 | | | | | | | | | | | | |
% 172.12/26.09 | | | | | | | | | | | | | REDUCE: (730), (4004) imply:
% 172.12/26.09 | | | | | | | | | | | | | (4014) op(e2, e2) = all_65_31
% 172.12/26.09 | | | | | | | | | | | | |
% 172.12/26.09 | | | | | | | | | | | | | REDUCE: (764), (4004) imply:
% 172.12/26.10 | | | | | | | | | | | | | (4015) op(e0, e2) = all_65_78
% 172.12/26.10 | | | | | | | | | | | | |
% 172.12/26.10 | | | | | | | | | | | | | REDUCE: (76), (4004) imply:
% 172.12/26.10 | | | | | | | | | | | | | (4016) op(e0, e0) = e2
% 172.12/26.10 | | | | | | | | | | | | |
% 172.12/26.10 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_7, all_65_78, e2,
% 172.12/26.10 | | | | | | | | | | | | | e0, simplifying with (225), (4015) gives:
% 172.12/26.10 | | | | | | | | | | | | | (4017) all_65_78 = all_61_7
% 172.12/26.10 | | | | | | | | | | | | |
% 172.12/26.10 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_20_1, all_65_78, e2,
% 172.12/26.10 | | | | | | | | | | | | | e0, simplifying with (4006), (4015) gives:
% 172.12/26.10 | | | | | | | | | | | | | (4018) all_65_78 = all_20_1
% 172.12/26.10 | | | | | | | | | | | | |
% 172.12/26.10 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_13, all_65_78, e0,
% 172.12/26.10 | | | | | | | | | | | | | e2, simplifying with (231), (4012) gives:
% 172.12/26.10 | | | | | | | | | | | | | (4019) all_65_78 = all_61_13
% 172.12/26.10 | | | | | | | | | | | | |
% 172.12/26.10 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_9, all_65_77, e1,
% 172.12/26.10 | | | | | | | | | | | | | e2, simplifying with (232), (4011) gives:
% 172.12/26.10 | | | | | | | | | | | | | (4020) all_65_77 = all_61_9
% 172.12/26.10 | | | | | | | | | | | | |
% 172.12/26.10 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_6_2, all_65_31, e2,
% 172.12/26.10 | | | | | | | | | | | | | e2, simplifying with (55), (4014) gives:
% 172.12/26.10 | | | | | | | | | | | | | (4021) all_65_31 = all_6_2
% 172.12/26.10 | | | | | | | | | | | | |
% 172.12/26.10 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_75, all_65_31, e2,
% 172.12/26.10 | | | | | | | | | | | | | e2, simplifying with (4010), (4014) gives:
% 172.12/26.10 | | | | | | | | | | | | | (4022) all_65_31 = all_65_75
% 172.12/26.10 | | | | | | | | | | | | |
% 172.12/26.10 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_14_1, all_65_15, e2,
% 172.12/26.10 | | | | | | | | | | | | | e3, simplifying with (3154), (4013) gives:
% 172.12/26.10 | | | | | | | | | | | | | (4023) all_65_15 = all_14_1
% 172.12/26.10 | | | | | | | | | | | | |
% 172.12/26.10 | | | | | | | | | | | | | COMBINE_EQS: (4021), (4022) imply:
% 172.12/26.10 | | | | | | | | | | | | | (4024) all_65_75 = all_6_2
% 172.12/26.10 | | | | | | | | | | | | |
% 172.12/26.10 | | | | | | | | | | | | | COMBINE_EQS: (4018), (4019) imply:
% 172.12/26.10 | | | | | | | | | | | | | (4025) all_61_13 = all_20_1
% 172.12/26.10 | | | | | | | | | | | | |
% 172.12/26.10 | | | | | | | | | | | | | SIMP: (4025) implies:
% 172.12/26.10 | | | | | | | | | | | | | (4026) all_61_13 = all_20_1
% 172.12/26.10 | | | | | | | | | | | | |
% 172.12/26.10 | | | | | | | | | | | | | COMBINE_EQS: (4017), (4018) imply:
% 172.12/26.10 | | | | | | | | | | | | | (4027) all_61_7 = all_20_1
% 172.12/26.10 | | | | | | | | | | | | |
% 172.12/26.10 | | | | | | | | | | | | | SIMP: (4027) implies:
% 172.12/26.10 | | | | | | | | | | | | | (4028) all_61_7 = all_20_1
% 172.12/26.10 | | | | | | | | | | | | |
% 172.12/26.10 | | | | | | | | | | | | | COMBINE_EQS: (508), (4028) imply:
% 172.12/26.10 | | | | | | | | | | | | | (4029) all_63_13 = all_20_1
% 172.12/26.10 | | | | | | | | | | | | |
% 172.12/26.10 | | | | | | | | | | | | | REDUCE: (207), (4028) imply:
% 172.12/26.10 | | | | | | | | | | | | | (4030) ~ (all_61_3 = all_20_1)
% 172.12/26.10 | | | | | | | | | | | | |
% 172.12/26.10 | | | | | | | | | | | | | REDUCE: (192), (4028) imply:
% 172.12/26.10 | | | | | | | | | | | | | (4031) ~ (all_61_11 = all_20_1)
% 172.12/26.10 | | | | | | | | | | | | |
% 172.12/26.10 | | | | | | | | | | | | | SIMP: (4031) implies:
% 172.12/26.10 | | | | | | | | | | | | | (4032) ~ (all_61_11 = all_20_1)
% 172.12/26.10 | | | | | | | | | | | | |
% 172.12/26.10 | | | | | | | | | | | | | REDUCE: (3202), (4026) imply:
% 172.12/26.10 | | | | | | | | | | | | | (4033) ~ (all_20_1 = all_14_1)
% 172.12/26.10 | | | | | | | | | | | | |
% 172.12/26.10 | | | | | | | | | | | | | REDUCE: (615), (4026) imply:
% 172.12/26.10 | | | | | | | | | | | | | (4034) ~ (all_20_1 = all_6_2)
% 172.12/26.10 | | | | | | | | | | | | |
% 172.12/26.10 | | | | | | | | | | | | | REDUCE: (4008), (4026) imply:
% 172.12/26.10 | | | | | | | | | | | | | (4035) ~ (all_20_1 = e2)
% 172.12/26.10 | | | | | | | | | | | | |
% 172.12/26.10 | | | | | | | | | | | | | REDUCE: (687), (4028) imply:
% 172.12/26.10 | | | | | | | | | | | | | (4036) op(all_20_1, e2) = all_65_59
% 172.12/26.10 | | | | | | | | | | | | |
% 172.12/26.10 | | | | | | | | | | | | | REDUCE: (689), (4028) imply:
% 172.12/26.10 | | | | | | | | | | | | | (4037) op(all_20_1, e0) = all_65_63
% 172.12/26.10 | | | | | | | | | | | | |
% 172.12/26.10 | | | | | | | | | | | | | REDUCE: (649), (4023) imply:
% 172.12/26.10 | | | | | | | | | | | | | (4038) op(all_61_12, e0) = all_14_1
% 172.12/26.10 | | | | | | | | | | | | |
% 172.12/26.10 | | | | | | | | | | | | | REDUCE: (663), (4026) imply:
% 172.12/26.10 | | | | | | | | | | | | | (4039) op(all_20_1, e2) = all_65_29
% 172.12/26.10 | | | | | | | | | | | | |
% 172.12/26.10 | | | | | | | | | | | | | REDUCE: (665), (4021), (4026) imply:
% 172.12/26.10 | | | | | | | | | | | | | (4040) op(all_20_1, e0) = all_6_2
% 172.12/26.10 | | | | | | | | | | | | |
% 172.12/26.10 | | | | | | | | | | | | | REDUCE: (728), (4028) imply:
% 172.12/26.10 | | | | | | | | | | | | | (4041) op(e2, all_20_1) = all_65_29
% 172.12/26.10 | | | | | | | | | | | | |
% 172.12/26.10 | | | | | | | | | | | | | REDUCE: (722), (4026) imply:
% 172.12/26.10 | | | | | | | | | | | | | (4042) op(e2, all_20_1) = all_65_23
% 172.12/26.10 | | | | | | | | | | | | |
% 172.12/26.10 | | | | | | | | | | | | | REDUCE: (231), (4026) imply:
% 172.12/26.10 | | | | | | | | | | | | | (4043) op(e2, e0) = all_20_1
% 172.12/26.10 | | | | | | | | | | | | |
% 172.12/26.10 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_29, all_65_23,
% 172.12/26.10 | | | | | | | | | | | | | all_20_1, e2, simplifying with (4041), (4042)
% 172.12/26.10 | | | | | | | | | | | | | gives:
% 172.12/26.10 | | | | | | | | | | | | | (4044) all_65_23 = all_65_29
% 172.12/26.10 | | | | | | | | | | | | |
% 172.12/26.10 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_6_2, all_65_63, e0,
% 172.12/26.10 | | | | | | | | | | | | | all_20_1, simplifying with (4037), (4040) gives:
% 172.12/26.10 | | | | | | | | | | | | | (4045) all_65_63 = all_6_2
% 172.12/26.10 | | | | | | | | | | | | |
% 172.12/26.10 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_59, all_65_29, e2,
% 172.12/26.10 | | | | | | | | | | | | | all_20_1, simplifying with (4036), (4039) gives:
% 172.12/26.10 | | | | | | | | | | | | | (4046) all_65_29 = all_65_59
% 172.12/26.10 | | | | | | | | | | | | |
% 172.12/26.10 | | | | | | | | | | | | | COMBINE_EQS: (4044), (4046) imply:
% 172.12/26.10 | | | | | | | | | | | | | (4047) all_65_23 = all_65_59
% 172.12/26.10 | | | | | | | | | | | | |
% 172.12/26.10 | | | | | | | | | | | | | REDUCE: (657), (4047) imply:
% 172.12/26.10 | | | | | | | | | | | | | (4048) op(all_6_2, e0) = all_65_59
% 172.12/26.10 | | | | | | | | | | | | |
% 172.12/26.10 | | | | | | | | | | | | | BETA: splitting (80) gives:
% 172.12/26.10 | | | | | | | | | | | | |
% 172.12/26.10 | | | | | | | | | | | | | Case 1:
% 172.12/26.10 | | | | | | | | | | | | | |
% 172.12/26.10 | | | | | | | | | | | | | | (4049) ~ (all_22_2 = e0)
% 172.12/26.10 | | | | | | | | | | | | | |
% 172.12/26.10 | | | | | | | | | | | | | | REDUCE: (449), (4049) imply:
% 172.12/26.10 | | | | | | | | | | | | | | (4050) ~ (all_6_2 = e0)
% 172.12/26.10 | | | | | | | | | | | | | |
% 172.12/26.10 | | | | | | | | | | | | | | BETA: splitting (266) gives:
% 172.12/26.10 | | | | | | | | | | | | | |
% 172.12/26.10 | | | | | | | | | | | | | | Case 1:
% 172.12/26.10 | | | | | | | | | | | | | | |
% 172.12/26.10 | | | | | | | | | | | | | | | (4051) all_63_5 = e3
% 172.12/26.10 | | | | | | | | | | | | | | |
% 172.12/26.10 | | | | | | | | | | | | | | | COMBINE_EQS: (587), (4051) imply:
% 172.12/26.10 | | | | | | | | | | | | | | | (4052) all_6_2 = e3
% 172.12/26.10 | | | | | | | | | | | | | | |
% 172.12/26.10 | | | | | | | | | | | | | | | REDUCE: (767), (4052) imply:
% 172.12/26.10 | | | | | | | | | | | | | | | (4053) $false
% 172.12/26.10 | | | | | | | | | | | | | | |
% 172.12/26.10 | | | | | | | | | | | | | | | CLOSE: (4053) is inconsistent.
% 172.12/26.10 | | | | | | | | | | | | | | |
% 172.12/26.10 | | | | | | | | | | | | | | Case 2:
% 172.12/26.10 | | | | | | | | | | | | | | |
% 172.12/26.10 | | | | | | | | | | | | | | | (4054) all_63_5 = e2 | all_63_5 = e1 | all_63_5 = e0
% 172.12/26.10 | | | | | | | | | | | | | | |
% 172.12/26.10 | | | | | | | | | | | | | | | BETA: splitting (4054) gives:
% 172.12/26.10 | | | | | | | | | | | | | | |
% 172.12/26.10 | | | | | | | | | | | | | | | Case 1:
% 172.12/26.10 | | | | | | | | | | | | | | | |
% 172.12/26.10 | | | | | | | | | | | | | | | | (4055) all_63_5 = e2
% 172.12/26.10 | | | | | | | | | | | | | | | |
% 172.12/26.10 | | | | | | | | | | | | | | | | COMBINE_EQS: (587), (4055) imply:
% 172.12/26.10 | | | | | | | | | | | | | | | | (4056) all_6_2 = e2
% 172.12/26.10 | | | | | | | | | | | | | | | |
% 172.12/26.10 | | | | | | | | | | | | | | | | REDUCE: (613), (4056) imply:
% 172.12/26.10 | | | | | | | | | | | | | | | | (4057) ~ (all_61_9 = e2)
% 172.12/26.10 | | | | | | | | | | | | | | | |
% 172.12/26.10 | | | | | | | | | | | | | | | | REDUCE: (4040), (4056) imply:
% 172.12/26.10 | | | | | | | | | | | | | | | | (4058) op(all_20_1, e0) = e2
% 172.12/26.10 | | | | | | | | | | | | | | | |
% 172.12/26.10 | | | | | | | | | | | | | | | | REDUCE: (3213), (4056) imply:
% 172.12/26.10 | | | | | | | | | | | | | | | | (4059) op(all_14_1, e3) = e2
% 172.12/26.10 | | | | | | | | | | | | | | | |
% 172.12/26.10 | | | | | | | | | | | | | | | | REDUCE: (656), (4056) imply:
% 172.12/26.10 | | | | | | | | | | | | | | | | (4060) op(e2, e1) = all_65_22
% 172.12/26.10 | | | | | | | | | | | | | | | |
% 172.12/26.10 | | | | | | | | | | | | | | | | REDUCE: (4048), (4056) imply:
% 172.12/26.10 | | | | | | | | | | | | | | | | (4061) op(e2, e0) = all_65_59
% 172.12/26.10 | | | | | | | | | | | | | | | |
% 172.12/26.10 | | | | | | | | | | | | | | | | REDUCE: (3229), (4056) imply:
% 172.12/26.10 | | | | | | | | | | | | | | | | (4062) op(e3, e2) = all_65_20
% 172.12/26.10 | | | | | | | | | | | | | | | |
% 172.12/26.10 | | | | | | | | | | | | | | | | REDUCE: (720), (4056) imply:
% 172.12/26.10 | | | | | | | | | | | | | | | | (4063) op(e2, e2) = all_65_21
% 172.12/26.10 | | | | | | | | | | | | | | | |
% 172.12/26.10 | | | | | | | | | | | | | | | | REDUCE: (55), (4056) imply:
% 172.12/26.10 | | | | | | | | | | | | | | | | (4064) op(e2, e2) = e2
% 172.12/26.10 | | | | | | | | | | | | | | | |
% 172.12/26.10 | | | | | | | | | | | | | | | | BETA: splitting (172) gives:
% 172.12/26.10 | | | | | | | | | | | | | | | |
% 172.12/26.10 | | | | | | | | | | | | | | | | Case 1:
% 172.12/26.10 | | | | | | | | | | | | | | | | |
% 172.12/26.10 | | | | | | | | | | | | | | | | | (4065) ( ~ (all_60_0 = e2) & op(e3, e3) = all_60_0 &
% 172.12/26.10 | | | | | | | | | | | | | | | | | $i(all_60_0)) | ( ~ (all_60_1 = e2) & op(e2, e2)
% 172.12/26.10 | | | | | | | | | | | | | | | | | = all_60_1 & $i(all_60_1))
% 172.12/26.10 | | | | | | | | | | | | | | | | |
% 172.12/26.10 | | | | | | | | | | | | | | | | | REF_CLOSE: (50), (3166), (4063), (4064), (4065) are
% 172.12/26.10 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #344.
% 172.12/26.10 | | | | | | | | | | | | | | | | |
% 172.12/26.10 | | | | | | | | | | | | | | | | Case 2:
% 172.12/26.10 | | | | | | | | | | | | | | | | |
% 172.12/26.10 | | | | | | | | | | | | | | | | | (4066) ( ~ (all_60_2 = e2) & op(e1, e1) = all_60_2 &
% 172.12/26.10 | | | | | | | | | | | | | | | | | $i(all_60_2)) | ( ~ (all_60_3 = e2) & op(e0, e0)
% 172.12/26.10 | | | | | | | | | | | | | | | | | = all_60_3 & $i(all_60_3))
% 172.12/26.10 | | | | | | | | | | | | | | | | |
% 172.12/26.10 | | | | | | | | | | | | | | | | | BETA: splitting (4066) gives:
% 172.12/26.10 | | | | | | | | | | | | | | | | |
% 172.12/26.10 | | | | | | | | | | | | | | | | | Case 1:
% 172.12/26.10 | | | | | | | | | | | | | | | | | |
% 172.12/26.10 | | | | | | | | | | | | | | | | | | (4067) ~ (all_60_2 = e2) & op(e1, e1) = all_60_2 &
% 172.12/26.10 | | | | | | | | | | | | | | | | | | $i(all_60_2)
% 172.12/26.10 | | | | | | | | | | | | | | | | | |
% 172.12/26.10 | | | | | | | | | | | | | | | | | | ALPHA: (4067) implies:
% 172.12/26.10 | | | | | | | | | | | | | | | | | | (4068) op(e1, e1) = all_60_2
% 172.12/26.10 | | | | | | | | | | | | | | | | | |
% 172.12/26.10 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e1, all_60_2, e1, e1,
% 172.12/26.10 | | | | | | | | | | | | | | | | | | simplifying with (876), (4068) gives:
% 172.12/26.10 | | | | | | | | | | | | | | | | | | (4069) all_60_2 = e1
% 172.12/26.10 | | | | | | | | | | | | | | | | | |
% 172.12/26.10 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_20_1, all_65_59, e0,
% 172.12/26.10 | | | | | | | | | | | | | | | | | | e2, simplifying with (4043), (4061) gives:
% 172.12/26.10 | | | | | | | | | | | | | | | | | | (4070) all_65_59 = all_20_1
% 172.12/26.10 | | | | | | | | | | | | | | | | | |
% 172.12/26.10 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_9, all_65_22, e1,
% 172.12/26.10 | | | | | | | | | | | | | | | | | | e2, simplifying with (232), (4060) gives:
% 172.12/26.10 | | | | | | | | | | | | | | | | | | (4071) all_65_22 = all_61_9
% 172.12/26.10 | | | | | | | | | | | | | | | | | |
% 172.12/26.10 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e2, all_65_21, e2, e2,
% 172.12/26.10 | | | | | | | | | | | | | | | | | | simplifying with (4063), (4064) gives:
% 172.12/26.10 | | | | | | | | | | | | | | | | | | (4072) all_65_21 = e2
% 172.12/26.10 | | | | | | | | | | | | | | | | | |
% 172.12/26.10 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_14_1, all_65_20, e2,
% 172.12/26.10 | | | | | | | | | | | | | | | | | | e3, simplifying with (3154), (4062) gives:
% 172.12/26.10 | | | | | | | | | | | | | | | | | | (4073) all_65_20 = all_14_1
% 172.12/26.10 | | | | | | | | | | | | | | | | | |
% 172.12/26.10 | | | | | | | | | | | | | | | | | | BETA: splitting (163) gives:
% 172.12/26.10 | | | | | | | | | | | | | | | | | |
% 172.12/26.10 | | | | | | | | | | | | | | | | | | Case 1:
% 172.12/26.10 | | | | | | | | | | | | | | | | | | |
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | (4074) ~ (all_58_1 = e0)
% 172.12/26.10 | | | | | | | | | | | | | | | | | | |
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | REDUCE: (481), (4074) imply:
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | (4075) ~ (all_52_1 = e0)
% 172.12/26.10 | | | | | | | | | | | | | | | | | | |
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | BETA: splitting (167) gives:
% 172.12/26.10 | | | | | | | | | | | | | | | | | | |
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | Case 1:
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | |
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | (4076) ~ (all_58_0 = e1)
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | |
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | REDUCE: (484), (4076) imply:
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | (4077) ~ (all_52_0 = e1)
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | |
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | BETA: splitting (162) gives:
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | |
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | |
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | (4078) ~ (all_58_2 = e3)
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | |
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | REDUCE: (478), (4078) imply:
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | (4079) ~ (all_52_2 = e3)
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | |
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (157) gives:
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | |
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | |
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | | (4080) ~ (all_58_3 = e1)
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | |
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (475), (4080) imply:
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | | (4081) ~ (all_52_3 = e1)
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | |
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (160) gives:
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | |
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | | |
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | | | (4082) ~ (all_58_2 = e0)
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | | |
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (478), (4082) imply:
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | | | (4083) ~ (all_52_2 = e0)
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | | |
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (168) gives:
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | | |
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | | | | (4084) ~ (all_58_0 = e2)
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (484), (4084) imply:
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | | | | (4085) ~ (all_52_0 = e2)
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (165) gives:
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | (4086) ~ (all_58_1 = e3)
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (481), (4086) imply:
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | (4087) ~ (all_52_1 = e3)
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (164) gives:
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | (4088) ~ (all_58_1 = e1)
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (481), (4088) imply:
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | (4089) ~ (all_52_1 = e1)
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (50), (149), (150), (161), (478), (481), (536),
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | (538), (631), (731), (748), (876), (4064), (4075),
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | (4079), (4083), (4087), (4089) are inconsistent by
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #383.
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | (4090) all_58_1 = e1
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (481), (4090) imply:
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | (4091) all_52_1 = e1
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (731), (4091) imply:
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | (4092) op(e2, e1) = unit
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_9, unit, e1, e2,
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (232), (4092) gives:
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | (4093) all_61_9 = unit
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (190), (4093) imply:
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | (4094) ~ (all_61_8 = unit)
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (185), (4093) imply:
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | (4095) ~ (all_61_11 = unit)
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4095) implies:
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | (4096) ~ (all_61_11 = unit)
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4057), (4093) imply:
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | (4097) ~ (unit = e2)
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (866), (4093) imply:
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | (4098) ~ (unit = e1)
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (852) gives:
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4099) unit = e2
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4097), (4099) imply:
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4100) $false
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4100) is inconsistent.
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4101) unit = e1 | unit = e0
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4101) gives:
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4102) unit = e1
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4098), (4102) imply:
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4103) $false
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4103) is inconsistent.
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4104) unit = e0
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4094), (4104) imply:
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4105) ~ (all_61_8 = e0)
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4096), (4104) imply:
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4106) ~ (all_61_11 = e0)
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (269) gives:
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4107) all_63_2 = e3
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (489), (4107) imply:
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4108) all_61_8 = e3
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (188), (4108) imply:
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4109) ~ (all_61_11 = e3)
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4109) implies:
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4110) ~ (all_61_11 = e3)
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (257), (510), (867), (4007), (4106), (4110) are
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #343.
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4111) all_63_2 = e2 | all_63_2 = e1 | all_63_2 = e0
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (489), (865), (3159), (4105), (4111) are
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #401.
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | (4112) all_58_0 = e2
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (484), (4085), (4112) are inconsistent by
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #356.
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | | | | (4113) all_58_1 = e3
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | | | | (4114) all_58_0 = e2
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (50), (481), (484), (628), (714), (3154),
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | | | | (4059), (4113), (4114) are inconsistent by
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #365.
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | | |
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | | |
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | | | (4115) all_58_3 = e1
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | | |
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (475), (4081), (4115) are inconsistent by
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #460.
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | | |
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | |
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | |
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | | (4116) all_58_3 = e1
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | | (4117) all_58_2 = e0
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | |
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (478), (4117) imply:
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | | (4118) all_52_2 = e0
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | |
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | | SIMP: (4118) implies:
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | | (4119) all_52_2 = e0
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | |
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (475), (4116) imply:
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | | (4120) all_52_3 = e1
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | |
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (748), (4119) imply:
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | | (4121) op(e1, e0) = unit
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | |
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (765), (4120) imply:
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | | (4122) op(e0, e1) = unit
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | |
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_11, unit, e1, e0,
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | | simplifying with (224), (4122) gives:
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | | (4123) all_61_11 = unit
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | |
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_14, unit, e0, e1,
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | | simplifying with (227), (4121) gives:
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | | (4124) all_61_14 = unit
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | |
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (188), (4123) imply:
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | | (4125) ~ (all_61_8 = unit)
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | |
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (185), (4123) imply:
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | | (4126) ~ (all_61_9 = unit)
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | |
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4009), (4124) imply:
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | | (4127) ~ (unit = e2)
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | |
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (868), (4124) imply:
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | | (4128) ~ (unit = e1)
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | |
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (852) gives:
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | |
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | | |
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | | | (4129) unit = e2
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | | |
% 172.12/26.10 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4127), (4129) imply:
% 172.12/26.11 | | | | | | | | | | | | | | | | | | | | | | | (4130) $false
% 172.12/26.11 | | | | | | | | | | | | | | | | | | | | | | |
% 172.12/26.11 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4130) is inconsistent.
% 172.12/26.11 | | | | | | | | | | | | | | | | | | | | | | |
% 172.12/26.11 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.12/26.11 | | | | | | | | | | | | | | | | | | | | | | |
% 172.12/26.11 | | | | | | | | | | | | | | | | | | | | | | | (4131) unit = e1 | unit = e0
% 172.12/26.11 | | | | | | | | | | | | | | | | | | | | | | |
% 172.12/26.11 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4131) gives:
% 172.12/26.11 | | | | | | | | | | | | | | | | | | | | | | |
% 172.12/26.11 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.12/26.11 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.12/26.11 | | | | | | | | | | | | | | | | | | | | | | | | (4132) unit = e1
% 172.12/26.11 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.12/26.11 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4128), (4132) imply:
% 172.12/26.11 | | | | | | | | | | | | | | | | | | | | | | | | (4133) $false
% 172.12/26.11 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.12/26.11 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4133) is inconsistent.
% 172.12/26.11 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.12/26.11 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.12/26.11 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.12/26.11 | | | | | | | | | | | | | | | | | | | | | | | | (4134) unit = e0
% 172.12/26.11 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.12/26.11 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4125), (4134) imply:
% 172.12/26.11 | | | | | | | | | | | | | | | | | | | | | | | | (4135) ~ (all_61_8 = e0)
% 172.12/26.11 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.12/26.11 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4126), (4134) imply:
% 172.12/26.11 | | | | | | | | | | | | | | | | | | | | | | | | (4136) ~ (all_61_9 = e0)
% 172.12/26.11 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.12/26.11 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (190), (265), (269), (489), (497), (865), (866),
% 172.12/26.11 | | | | | | | | | | | | | | | | | | | | | | | | (3159), (4057), (4135), (4136) are inconsistent by
% 172.12/26.11 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #342.
% 172.12/26.11 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.12/26.11 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.12/26.11 | | | | | | | | | | | | | | | | | | | | | | |
% 172.12/26.11 | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.12/26.11 | | | | | | | | | | | | | | | | | | | | | |
% 172.12/26.11 | | | | | | | | | | | | | | | | | | | | | End of split
% 172.12/26.11 | | | | | | | | | | | | | | | | | | | | |
% 172.12/26.11 | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.12/26.11 | | | | | | | | | | | | | | | | | | | | |
% 172.12/26.11 | | | | | | | | | | | | | | | | | | | | | (4137) all_58_0 = e1
% 172.12/26.11 | | | | | | | | | | | | | | | | | | | | |
% 172.12/26.11 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (484), (4077), (4137) are inconsistent by
% 172.12/26.11 | | | | | | | | | | | | | | | | | | | | | sub-proof #470.
% 172.12/26.11 | | | | | | | | | | | | | | | | | | | | |
% 172.12/26.11 | | | | | | | | | | | | | | | | | | | | End of split
% 172.12/26.11 | | | | | | | | | | | | | | | | | | | |
% 172.12/26.11 | | | | | | | | | | | | | | | | | | | Case 2:
% 172.12/26.11 | | | | | | | | | | | | | | | | | | | |
% 172.12/26.11 | | | | | | | | | | | | | | | | | | | | (4138) all_58_2 = e3
% 172.12/26.11 | | | | | | | | | | | | | | | | | | | | (4139) all_58_0 = e1
% 172.12/26.11 | | | | | | | | | | | | | | | | | | | |
% 172.12/26.11 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (484), (4139) imply:
% 172.12/26.11 | | | | | | | | | | | | | | | | | | | | (4140) all_52_0 = e1
% 172.12/26.11 | | | | | | | | | | | | | | | | | | | |
% 172.12/26.11 | | | | | | | | | | | | | | | | | | | | SIMP: (4140) implies:
% 172.12/26.11 | | | | | | | | | | | | | | | | | | | | (4141) all_52_0 = e1
% 172.12/26.11 | | | | | | | | | | | | | | | | | | | |
% 172.12/26.11 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (478), (4138) imply:
% 172.12/26.11 | | | | | | | | | | | | | | | | | | | | (4142) all_52_2 = e3
% 172.12/26.11 | | | | | | | | | | | | | | | | | | | |
% 172.12/26.11 | | | | | | | | | | | | | | | | | | | | SIMP: (4142) implies:
% 172.12/26.11 | | | | | | | | | | | | | | | | | | | | (4143) all_52_2 = e3
% 172.12/26.11 | | | | | | | | | | | | | | | | | | | |
% 172.12/26.11 | | | | | | | | | | | | | | | | | | | | REDUCE: (628), (4141) imply:
% 172.12/26.11 | | | | | | | | | | | | | | | | | | | | (4144) ~ (all_52_1 = e1)
% 172.12/26.11 | | | | | | | | | | | | | | | | | | | |
% 172.12/26.11 | | | | | | | | | | | | | | | | | | | | SIMP: (4144) implies:
% 172.12/26.11 | | | | | | | | | | | | | | | | | | | | (4145) ~ (all_52_1 = e1)
% 172.12/26.11 | | | | | | | | | | | | | | | | | | | |
% 172.12/26.11 | | | | | | | | | | | | | | | | | | | | REDUCE: (631), (4143) imply:
% 172.12/26.11 | | | | | | | | | | | | | | | | | | | | (4146) ~ (all_52_1 = e3)
% 172.12/26.11 | | | | | | | | | | | | | | | | | | | |
% 172.12/26.11 | | | | | | | | | | | | | | | | | | | | REDUCE: (714), (4141) imply:
% 172.12/26.11 | | | | | | | | | | | | | | | | | | | | (4147) op(e3, e1) = unit
% 172.12/26.11 | | | | | | | | | | | | | | | | | | | |
% 172.12/26.11 | | | | | | | | | | | | | | | | | | | | BETA: splitting (150) gives:
% 172.12/26.11 | | | | | | | | | | | | | | | | | | | |
% 172.12/26.11 | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.12/26.11 | | | | | | | | | | | | | | | | | | | | |
% 172.12/26.11 | | | | | | | | | | | | | | | | | | | | | (4148) all_56_1 = e3
% 172.12/26.11 | | | | | | | | | | | | | | | | | | | | |
% 172.12/26.11 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (536), (4146), (4148) are inconsistent by
% 172.12/26.11 | | | | | | | | | | | | | | | | | | | | | sub-proof #455.
% 172.12/26.11 | | | | | | | | | | | | | | | | | | | | |
% 172.12/26.11 | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.12/26.11 | | | | | | | | | | | | | | | | | | | | |
% 172.12/26.11 | | | | | | | | | | | | | | | | | | | | | (4149) all_56_1 = e2 | all_56_1 = e1 | all_56_1 = e0
% 172.12/26.11 | | | | | | | | | | | | | | | | | | | | |
% 172.12/26.11 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4149) gives:
% 172.12/26.11 | | | | | | | | | | | | | | | | | | | | |
% 172.12/26.11 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.12/26.11 | | | | | | | | | | | | | | | | | | | | | |
% 172.12/26.11 | | | | | | | | | | | | | | | | | | | | | | (4150) all_56_1 = e2
% 172.12/26.11 | | | | | | | | | | | | | | | | | | | | | |
% 172.12/26.11 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (536), (4150) imply:
% 172.12/26.11 | | | | | | | | | | | | | | | | | | | | | | (4151) all_52_1 = e2
% 172.12/26.11 | | | | | | | | | | | | | | | | | | | | | |
% 172.12/26.11 | | | | | | | | | | | | | | | | | | | | | | SIMP: (4151) implies:
% 172.12/26.11 | | | | | | | | | | | | | | | | | | | | | | (4152) all_52_1 = e2
% 172.12/26.11 | | | | | | | | | | | | | | | | | | | | | |
% 172.12/26.11 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (731), (4152) imply:
% 172.12/26.11 | | | | | | | | | | | | | | | | | | | | | | (4153) op(e2, e2) = unit
% 172.12/26.11 | | | | | | | | | | | | | | | | | | | | | |
% 172.12/26.11 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e2, unit, e2, e2,
% 172.12/26.11 | | | | | | | | | | | | | | | | | | | | | | simplifying with (4064), (4153) gives:
% 172.12/26.11 | | | | | | | | | | | | | | | | | | | | | | (4154) unit = e2
% 172.12/26.11 | | | | | | | | | | | | | | | | | | | | | |
% 172.12/26.11 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_8, unit, e1, e3,
% 172.12/26.11 | | | | | | | | | | | | | | | | | | | | | | simplifying with (236), (4147) gives:
% 172.12/26.11 | | | | | | | | | | | | | | | | | | | | | | (4155) all_61_8 = unit
% 172.12/26.11 | | | | | | | | | | | | | | | | | | | | | |
% 172.12/26.11 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4154), (4155) imply:
% 172.12/26.11 | | | | | | | | | | | | | | | | | | | | | | (4156) all_61_8 = e2
% 172.12/26.11 | | | | | | | | | | | | | | | | | | | | | |
% 172.12/26.11 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3159), (4156) imply:
% 172.12/26.11 | | | | | | | | | | | | | | | | | | | | | | (4157) $false
% 172.12/26.11 | | | | | | | | | | | | | | | | | | | | | |
% 172.12/26.11 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4157) is inconsistent.
% 172.12/26.11 | | | | | | | | | | | | | | | | | | | | | |
% 172.12/26.11 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.12/26.11 | | | | | | | | | | | | | | | | | | | | | |
% 172.12/26.11 | | | | | | | | | | | | | | | | | | | | | | (4158) all_56_1 = e1 | all_56_1 = e0
% 172.12/26.11 | | | | | | | | | | | | | | | | | | | | | |
% 172.12/26.11 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (536), (4075), (4145), (4158) are inconsistent by
% 172.12/26.11 | | | | | | | | | | | | | | | | | | | | | | sub-proof #454.
% 172.12/26.11 | | | | | | | | | | | | | | | | | | | | | |
% 172.12/26.11 | | | | | | | | | | | | | | | | | | | | | End of split
% 172.12/26.11 | | | | | | | | | | | | | | | | | | | | |
% 172.12/26.11 | | | | | | | | | | | | | | | | | | | | End of split
% 172.12/26.11 | | | | | | | | | | | | | | | | | | | |
% 172.12/26.11 | | | | | | | | | | | | | | | | | | | End of split
% 172.12/26.11 | | | | | | | | | | | | | | | | | | |
% 172.12/26.11 | | | | | | | | | | | | | | | | | | Case 2:
% 172.12/26.11 | | | | | | | | | | | | | | | | | | |
% 172.12/26.11 | | | | | | | | | | | | | | | | | | | (4159) all_58_3 = e2
% 172.12/26.11 | | | | | | | | | | | | | | | | | | | (4160) all_58_1 = e0
% 172.12/26.11 | | | | | | | | | | | | | | | | | | |
% 172.12/26.11 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (481), (4160) imply:
% 172.12/26.11 | | | | | | | | | | | | | | | | | | | (4161) all_52_1 = e0
% 172.12/26.11 | | | | | | | | | | | | | | | | | | |
% 172.12/26.11 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (475), (4159) imply:
% 172.12/26.11 | | | | | | | | | | | | | | | | | | | (4162) all_52_3 = e2
% 172.12/26.11 | | | | | | | | | | | | | | | | | | |
% 172.12/26.11 | | | | | | | | | | | | | | | | | | | SIMP: (4162) implies:
% 172.21/26.11 | | | | | | | | | | | | | | | | | | | (4163) all_52_3 = e2
% 172.21/26.11 | | | | | | | | | | | | | | | | | | |
% 172.21/26.11 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (50), (632), (731), (4043), (4058), (4161),
% 172.21/26.11 | | | | | | | | | | | | | | | | | | | (4163) are inconsistent by sub-proof #381.
% 172.21/26.11 | | | | | | | | | | | | | | | | | | |
% 172.21/26.11 | | | | | | | | | | | | | | | | | | End of split
% 172.21/26.11 | | | | | | | | | | | | | | | | | |
% 172.21/26.11 | | | | | | | | | | | | | | | | | Case 2:
% 172.21/26.11 | | | | | | | | | | | | | | | | | |
% 172.21/26.11 | | | | | | | | | | | | | | | | | | (4164) ~ (all_60_3 = e2) & op(e0, e0) = all_60_3 &
% 172.21/26.11 | | | | | | | | | | | | | | | | | | $i(all_60_3)
% 172.21/26.11 | | | | | | | | | | | | | | | | | |
% 172.21/26.11 | | | | | | | | | | | | | | | | | | REF_CLOSE: (50), (4016), (4164) are inconsistent by sub-proof
% 172.21/26.11 | | | | | | | | | | | | | | | | | | #341.
% 172.21/26.11 | | | | | | | | | | | | | | | | | |
% 172.21/26.11 | | | | | | | | | | | | | | | | | End of split
% 172.21/26.11 | | | | | | | | | | | | | | | | |
% 172.21/26.11 | | | | | | | | | | | | | | | | End of split
% 172.21/26.11 | | | | | | | | | | | | | | | |
% 172.21/26.11 | | | | | | | | | | | | | | | Case 2:
% 172.21/26.11 | | | | | | | | | | | | | | | |
% 172.21/26.11 | | | | | | | | | | | | | | | | (4165) all_63_5 = e1 | all_63_5 = e0
% 172.21/26.11 | | | | | | | | | | | | | | | |
% 172.21/26.11 | | | | | | | | | | | | | | | | REF_CLOSE: (587), (889), (4050), (4165) are inconsistent by
% 172.21/26.11 | | | | | | | | | | | | | | | | sub-proof #524.
% 172.21/26.11 | | | | | | | | | | | | | | | |
% 172.21/26.11 | | | | | | | | | | | | | | | End of split
% 172.21/26.11 | | | | | | | | | | | | | | |
% 172.21/26.11 | | | | | | | | | | | | | | End of split
% 172.21/26.11 | | | | | | | | | | | | | |
% 172.21/26.11 | | | | | | | | | | | | | Case 2:
% 172.21/26.11 | | | | | | | | | | | | | |
% 172.21/26.11 | | | | | | | | | | | | | | (4166) all_22_2 = e0
% 172.21/26.11 | | | | | | | | | | | | | | (4167) op(e2, e0) = all_22_1 & $i(all_22_1) & ( ~
% 172.21/26.11 | | | | | | | | | | | | | | (all_22_1 = e1) | ( ~ (all_22_0 = e3) & op(e1,
% 172.21/26.11 | | | | | | | | | | | | | | e2) = all_22_0 & $i(all_22_0)))
% 172.21/26.11 | | | | | | | | | | | | | |
% 172.21/26.11 | | | | | | | | | | | | | | ALPHA: (4167) implies:
% 172.21/26.11 | | | | | | | | | | | | | | (4168) op(e2, e0) = all_22_1
% 172.21/26.11 | | | | | | | | | | | | | |
% 172.21/26.11 | | | | | | | | | | | | | | COMBINE_EQS: (449), (4166) imply:
% 172.21/26.11 | | | | | | | | | | | | | | (4169) all_6_2 = e0
% 172.21/26.11 | | | | | | | | | | | | | |
% 172.21/26.11 | | | | | | | | | | | | | | COMBINE_EQS: (580), (4169) imply:
% 172.21/26.11 | | | | | | | | | | | | | | (4170) all_38_2 = e0
% 172.21/26.11 | | | | | | | | | | | | | |
% 172.21/26.11 | | | | | | | | | | | | | | REDUCE: (4034), (4169) imply:
% 172.21/26.11 | | | | | | | | | | | | | | (4171) ~ (all_20_1 = e0)
% 172.21/26.11 | | | | | | | | | | | | | |
% 172.21/26.11 | | | | | | | | | | | | | | REDUCE: (3211), (4169) imply:
% 172.21/26.11 | | | | | | | | | | | | | | (4172) ~ (all_14_1 = e0)
% 172.21/26.11 | | | | | | | | | | | | | |
% 172.21/26.11 | | | | | | | | | | | | | | REDUCE: (654), (4169) imply:
% 172.21/26.11 | | | | | | | | | | | | | | (4173) op(e0, e3) = all_65_20
% 172.21/26.11 | | | | | | | | | | | | | |
% 172.21/26.11 | | | | | | | | | | | | | | REDUCE: (3229), (4169) imply:
% 172.21/26.11 | | | | | | | | | | | | | | (4174) op(e3, e0) = all_65_20
% 172.21/26.11 | | | | | | | | | | | | | |
% 172.21/26.11 | | | | | | | | | | | | | | REDUCE: (720), (4169) imply:
% 172.21/26.11 | | | | | | | | | | | | | | (4175) op(e2, e0) = all_65_21
% 172.21/26.11 | | | | | | | | | | | | | |
% 172.21/26.11 | | | | | | | | | | | | | | REDUCE: (55), (4169) imply:
% 172.21/26.11 | | | | | | | | | | | | | | (4176) op(e2, e2) = e0
% 172.21/26.11 | | | | | | | | | | | | | |
% 172.21/26.11 | | | | | | | | | | | | | | REDUCE: (754), (4169) imply:
% 172.21/26.11 | | | | | | | | | | | | | | (4177) op(e0, e0) = all_65_59
% 172.21/26.11 | | | | | | | | | | | | | |
% 172.21/26.11 | | | | | | | | | | | | | | BETA: splitting (104) gives:
% 172.21/26.11 | | | | | | | | | | | | | |
% 172.21/26.11 | | | | | | | | | | | | | | Case 1:
% 172.21/26.11 | | | | | | | | | | | | | | |
% 172.21/26.11 | | | | | | | | | | | | | | | (4178) ~ (all_38_2 = e0)
% 172.21/26.11 | | | | | | | | | | | | | | |
% 172.21/26.11 | | | | | | | | | | | | | | | REDUCE: (4170), (4178) imply:
% 172.21/26.11 | | | | | | | | | | | | | | | (4179) $false
% 172.21/26.11 | | | | | | | | | | | | | | |
% 172.21/26.11 | | | | | | | | | | | | | | | CLOSE: (4179) is inconsistent.
% 172.21/26.11 | | | | | | | | | | | | | | |
% 172.21/26.11 | | | | | | | | | | | | | | Case 2:
% 172.21/26.11 | | | | | | | | | | | | | | |
% 172.21/26.11 | | | | | | | | | | | | | | | (4180) op(e2, e0) = all_38_1 & $i(all_38_1) & ( ~
% 172.21/26.11 | | | | | | | | | | | | | | | (all_38_1 = e3) | ( ~ (all_38_0 = e1) & op(e3,
% 172.21/26.11 | | | | | | | | | | | | | | | e2) = all_38_0 & $i(all_38_0)))
% 172.21/26.11 | | | | | | | | | | | | | | |
% 172.21/26.11 | | | | | | | | | | | | | | | ALPHA: (4180) implies:
% 172.21/26.11 | | | | | | | | | | | | | | | (4181) op(e2, e0) = all_38_1
% 172.21/26.11 | | | | | | | | | | | | | | | (4182) ~ (all_38_1 = e3) | ( ~ (all_38_0 = e1) & op(e3,
% 172.21/26.11 | | | | | | | | | | | | | | | e2) = all_38_0 & $i(all_38_0))
% 172.21/26.11 | | | | | | | | | | | | | | |
% 172.21/26.11 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e2, all_65_59, e0, e0,
% 172.21/26.11 | | | | | | | | | | | | | | | simplifying with (4016), (4177) gives:
% 172.21/26.11 | | | | | | | | | | | | | | | (4183) all_65_59 = e2
% 172.21/26.11 | | | | | | | | | | | | | | |
% 172.21/26.11 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_3, all_65_20, e3,
% 172.21/26.11 | | | | | | | | | | | | | | | e0, simplifying with (226), (4173) gives:
% 172.21/26.11 | | | | | | | | | | | | | | | (4184) all_65_20 = all_61_3
% 172.21/26.11 | | | | | | | | | | | | | | |
% 172.21/26.11 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_22_1, all_38_1, e0,
% 172.21/26.11 | | | | | | | | | | | | | | | e2, simplifying with (4168), (4181) gives:
% 172.21/26.11 | | | | | | | | | | | | | | | (4185) all_38_1 = all_22_1
% 172.21/26.11 | | | | | | | | | | | | | | |
% 172.21/26.11 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_20_1, all_65_21, e0,
% 172.21/26.11 | | | | | | | | | | | | | | | e2, simplifying with (4043), (4175) gives:
% 172.21/26.11 | | | | | | | | | | | | | | | (4186) all_65_21 = all_20_1
% 172.21/26.11 | | | | | | | | | | | | | | |
% 172.21/26.11 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_38_1, all_65_21, e0,
% 172.21/26.11 | | | | | | | | | | | | | | | e2, simplifying with (4175), (4181) gives:
% 172.21/26.11 | | | | | | | | | | | | | | | (4187) all_65_21 = all_38_1
% 172.21/26.11 | | | | | | | | | | | | | | |
% 172.21/26.11 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_12, all_65_20, e0,
% 172.21/26.11 | | | | | | | | | | | | | | | e3, simplifying with (235), (4174) gives:
% 172.21/26.11 | | | | | | | | | | | | | | | (4188) all_65_20 = all_61_12
% 172.21/26.11 | | | | | | | | | | | | | | |
% 172.21/26.11 | | | | | | | | | | | | | | | COMBINE_EQS: (4184), (4188) imply:
% 172.21/26.11 | | | | | | | | | | | | | | | (4189) all_61_3 = all_61_12
% 172.21/26.11 | | | | | | | | | | | | | | |
% 172.21/26.11 | | | | | | | | | | | | | | | SIMP: (4189) implies:
% 172.21/26.11 | | | | | | | | | | | | | | | (4190) all_61_3 = all_61_12
% 172.21/26.11 | | | | | | | | | | | | | | |
% 172.21/26.11 | | | | | | | | | | | | | | | COMBINE_EQS: (4186), (4187) imply:
% 172.21/26.11 | | | | | | | | | | | | | | | (4191) all_38_1 = all_20_1
% 172.21/26.11 | | | | | | | | | | | | | | |
% 172.21/26.11 | | | | | | | | | | | | | | | SIMP: (4191) implies:
% 172.21/26.11 | | | | | | | | | | | | | | | (4192) all_38_1 = all_20_1
% 172.21/26.11 | | | | | | | | | | | | | | |
% 172.21/26.11 | | | | | | | | | | | | | | | COMBINE_EQS: (4185), (4192) imply:
% 172.21/26.11 | | | | | | | | | | | | | | | (4193) all_22_1 = all_20_1
% 172.21/26.11 | | | | | | | | | | | | | | |
% 172.21/26.11 | | | | | | | | | | | | | | | SIMP: (4193) implies:
% 172.21/26.11 | | | | | | | | | | | | | | | (4194) all_22_1 = all_20_1
% 172.21/26.11 | | | | | | | | | | | | | | |
% 172.21/26.11 | | | | | | | | | | | | | | | COMBINE_EQS: (506), (4190) imply:
% 172.21/26.11 | | | | | | | | | | | | | | | (4195) all_63_12 = all_61_12
% 172.21/26.11 | | | | | | | | | | | | | | |
% 172.21/26.11 | | | | | | | | | | | | | | | REDUCE: (206), (4190) imply:
% 172.21/26.11 | | | | | | | | | | | | | | | (4196) ~ (all_61_11 = all_61_12)
% 172.21/26.11 | | | | | | | | | | | | | | |
% 172.21/26.11 | | | | | | | | | | | | | | | SIMP: (4196) implies:
% 172.21/26.11 | | | | | | | | | | | | | | | (4197) ~ (all_61_11 = all_61_12)
% 172.21/26.11 | | | | | | | | | | | | | | |
% 172.21/26.11 | | | | | | | | | | | | | | | REDUCE: (4030), (4190) imply:
% 172.21/26.11 | | | | | | | | | | | | | | | (4198) ~ (all_61_12 = all_20_1)
% 172.21/26.11 | | | | | | | | | | | | | | |
% 172.21/26.11 | | | | | | | | | | | | | | | REDUCE: (685), (4190) imply:
% 172.21/26.11 | | | | | | | | | | | | | | | (4199) op(all_61_12, e0) = all_65_55
% 172.21/26.11 | | | | | | | | | | | | | | |
% 172.21/26.11 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_14_1, all_65_55, e0,
% 172.21/26.11 | | | | | | | | | | | | | | | all_61_12, simplifying with (4038), (4199) gives:
% 172.21/26.11 | | | | | | | | | | | | | | | (4200) all_65_55 = all_14_1
% 172.21/26.11 | | | | | | | | | | | | | | |
% 172.21/26.11 | | | | | | | | | | | | | | | BETA: splitting (161) gives:
% 172.21/26.11 | | | | | | | | | | | | | | |
% 172.21/26.11 | | | | | | | | | | | | | | | Case 1:
% 172.21/26.11 | | | | | | | | | | | | | | | |
% 172.21/26.11 | | | | | | | | | | | | | | | | (4201) ~ (all_58_2 = e2)
% 172.21/26.11 | | | | | | | | | | | | | | | |
% 172.21/26.11 | | | | | | | | | | | | | | | | REDUCE: (478), (4201) imply:
% 172.21/26.11 | | | | | | | | | | | | | | | | (4202) ~ (all_52_2 = e2)
% 172.21/26.11 | | | | | | | | | | | | | | | |
% 172.21/26.11 | | | | | | | | | | | | | | | | BETA: splitting (164) gives:
% 172.21/26.11 | | | | | | | | | | | | | | | |
% 172.21/26.11 | | | | | | | | | | | | | | | | Case 1:
% 172.21/26.11 | | | | | | | | | | | | | | | | |
% 172.21/26.11 | | | | | | | | | | | | | | | | | (4203) ~ (all_58_1 = e1)
% 172.21/26.11 | | | | | | | | | | | | | | | | |
% 172.21/26.11 | | | | | | | | | | | | | | | | | REDUCE: (481), (4203) imply:
% 172.21/26.11 | | | | | | | | | | | | | | | | | (4204) ~ (all_52_1 = e1)
% 172.21/26.11 | | | | | | | | | | | | | | | | |
% 172.21/26.11 | | | | | | | | | | | | | | | | | BETA: splitting (159) gives:
% 172.21/26.11 | | | | | | | | | | | | | | | | |
% 172.21/26.11 | | | | | | | | | | | | | | | | | Case 1:
% 172.21/26.11 | | | | | | | | | | | | | | | | | |
% 172.21/26.11 | | | | | | | | | | | | | | | | | | (4205) ~ (all_58_3 = e3)
% 172.21/26.11 | | | | | | | | | | | | | | | | | |
% 172.21/26.11 | | | | | | | | | | | | | | | | | | REDUCE: (475), (4205) imply:
% 172.21/26.11 | | | | | | | | | | | | | | | | | | (4206) ~ (all_52_3 = e3)
% 172.21/26.11 | | | | | | | | | | | | | | | | | |
% 172.21/26.11 | | | | | | | | | | | | | | | | | | BETA: splitting (165) gives:
% 172.21/26.11 | | | | | | | | | | | | | | | | | |
% 172.21/26.11 | | | | | | | | | | | | | | | | | | Case 1:
% 172.21/26.11 | | | | | | | | | | | | | | | | | | |
% 172.21/26.11 | | | | | | | | | | | | | | | | | | | (4207) ~ (all_58_1 = e3)
% 172.21/26.11 | | | | | | | | | | | | | | | | | | |
% 172.21/26.11 | | | | | | | | | | | | | | | | | | | REDUCE: (481), (4207) imply:
% 172.21/26.11 | | | | | | | | | | | | | | | | | | | (4208) ~ (all_52_1 = e3)
% 172.21/26.11 | | | | | | | | | | | | | | | | | | |
% 172.21/26.11 | | | | | | | | | | | | | | | | | | | BETA: splitting (160) gives:
% 172.21/26.11 | | | | | | | | | | | | | | | | | | |
% 172.21/26.11 | | | | | | | | | | | | | | | | | | | Case 1:
% 172.21/26.11 | | | | | | | | | | | | | | | | | | | |
% 172.21/26.11 | | | | | | | | | | | | | | | | | | | | (4209) ~ (all_58_2 = e0)
% 172.21/26.11 | | | | | | | | | | | | | | | | | | | |
% 172.21/26.11 | | | | | | | | | | | | | | | | | | | | REDUCE: (478), (4209) imply:
% 172.21/26.11 | | | | | | | | | | | | | | | | | | | | (4210) ~ (all_52_2 = e0)
% 172.21/26.11 | | | | | | | | | | | | | | | | | | | |
% 172.21/26.11 | | | | | | | | | | | | | | | | | | | | BETA: splitting (157) gives:
% 172.21/26.11 | | | | | | | | | | | | | | | | | | | |
% 172.21/26.11 | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.21/26.11 | | | | | | | | | | | | | | | | | | | | |
% 172.21/26.11 | | | | | | | | | | | | | | | | | | | | | (4211) ~ (all_58_3 = e1)
% 172.21/26.11 | | | | | | | | | | | | | | | | | | | | |
% 172.21/26.11 | | | | | | | | | | | | | | | | | | | | | REDUCE: (475), (4211) imply:
% 172.21/26.11 | | | | | | | | | | | | | | | | | | | | | (4212) ~ (all_52_3 = e1)
% 172.21/26.11 | | | | | | | | | | | | | | | | | | | | |
% 172.21/26.11 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (163) gives:
% 172.21/26.11 | | | | | | | | | | | | | | | | | | | | |
% 172.21/26.11 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.21/26.11 | | | | | | | | | | | | | | | | | | | | | |
% 172.21/26.11 | | | | | | | | | | | | | | | | | | | | | | (4213) ~ (all_58_1 = e0)
% 172.21/26.11 | | | | | | | | | | | | | | | | | | | | | |
% 172.21/26.11 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (481), (4213) imply:
% 172.21/26.11 | | | | | | | | | | | | | | | | | | | | | | (4214) ~ (all_52_1 = e0)
% 172.21/26.11 | | | | | | | | | | | | | | | | | | | | | |
% 172.21/26.11 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (50), (148), (150), (536), (539), (632), (731),
% 172.21/26.11 | | | | | | | | | | | | | | | | | | | | | | (765), (4016), (4176), (4204), (4206), (4208),
% 172.21/26.11 | | | | | | | | | | | | | | | | | | | | | | (4212), (4214) are inconsistent by sub-proof #340.
% 172.21/26.11 | | | | | | | | | | | | | | | | | | | | | |
% 172.21/26.11 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.21/26.11 | | | | | | | | | | | | | | | | | | | | | |
% 172.21/26.11 | | | | | | | | | | | | | | | | | | | | | | (4215) all_58_1 = e0
% 172.21/26.11 | | | | | | | | | | | | | | | | | | | | | |
% 172.21/26.11 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (481), (4215) imply:
% 172.21/26.11 | | | | | | | | | | | | | | | | | | | | | | (4216) all_52_1 = e0
% 172.21/26.11 | | | | | | | | | | | | | | | | | | | | | |
% 172.21/26.11 | | | | | | | | | | | | | | | | | | | | | | SIMP: (4216) implies:
% 172.21/26.11 | | | | | | | | | | | | | | | | | | | | | | (4217) all_52_1 = e0
% 172.21/26.11 | | | | | | | | | | | | | | | | | | | | | |
% 172.21/26.11 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (731), (4217) imply:
% 172.21/26.11 | | | | | | | | | | | | | | | | | | | | | | (4218) op(e2, e0) = unit
% 172.21/26.11 | | | | | | | | | | | | | | | | | | | | | |
% 172.21/26.11 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_20_1, unit, e0, e2,
% 172.21/26.11 | | | | | | | | | | | | | | | | | | | | | | simplifying with (4043), (4218) gives:
% 172.21/26.11 | | | | | | | | | | | | | | | | | | | | | | (4219) all_20_1 = unit
% 172.21/26.11 | | | | | | | | | | | | | | | | | | | | | |
% 172.21/26.11 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4198), (4219) imply:
% 172.21/26.11 | | | | | | | | | | | | | | | | | | | | | | (4220) ~ (all_61_12 = unit)
% 172.21/26.11 | | | | | | | | | | | | | | | | | | | | | |
% 172.21/26.11 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4033), (4219) imply:
% 172.21/26.11 | | | | | | | | | | | | | | | | | | | | | | (4221) ~ (all_14_1 = unit)
% 172.21/26.11 | | | | | | | | | | | | | | | | | | | | | |
% 172.21/26.11 | | | | | | | | | | | | | | | | | | | | | | SIMP: (4221) implies:
% 172.21/26.11 | | | | | | | | | | | | | | | | | | | | | | (4222) ~ (all_14_1 = unit)
% 172.21/26.11 | | | | | | | | | | | | | | | | | | | | | |
% 172.21/26.11 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4035), (4219) imply:
% 172.21/26.11 | | | | | | | | | | | | | | | | | | | | | | (4223) ~ (unit = e2)
% 172.21/26.11 | | | | | | | | | | | | | | | | | | | | | |
% 172.21/26.11 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4171), (4219) imply:
% 172.21/26.11 | | | | | | | | | | | | | | | | | | | | | | (4224) ~ (unit = e0)
% 172.21/26.11 | | | | | | | | | | | | | | | | | | | | | |
% 172.21/26.11 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (852) gives:
% 172.21/26.11 | | | | | | | | | | | | | | | | | | | | | |
% 172.21/26.11 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.21/26.11 | | | | | | | | | | | | | | | | | | | | | | |
% 172.21/26.11 | | | | | | | | | | | | | | | | | | | | | | | (4225) unit = e2
% 172.21/26.11 | | | | | | | | | | | | | | | | | | | | | | |
% 172.21/26.11 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4223), (4225) imply:
% 172.21/26.11 | | | | | | | | | | | | | | | | | | | | | | | (4226) $false
% 172.21/26.11 | | | | | | | | | | | | | | | | | | | | | | |
% 172.21/26.11 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4226) is inconsistent.
% 172.21/26.11 | | | | | | | | | | | | | | | | | | | | | | |
% 172.21/26.11 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.21/26.11 | | | | | | | | | | | | | | | | | | | | | | |
% 172.21/26.11 | | | | | | | | | | | | | | | | | | | | | | | (4227) unit = e1 | unit = e0
% 172.21/26.11 | | | | | | | | | | | | | | | | | | | | | | |
% 172.21/26.11 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4227) gives:
% 172.21/26.11 | | | | | | | | | | | | | | | | | | | | | | |
% 172.21/26.11 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.21/26.11 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.21/26.11 | | | | | | | | | | | | | | | | | | | | | | | | (4228) unit = e1
% 172.21/26.11 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.21/26.11 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4220), (4228) imply:
% 172.21/26.11 | | | | | | | | | | | | | | | | | | | | | | | | (4229) ~ (all_61_12 = e1)
% 172.21/26.11 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.21/26.11 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4222), (4228) imply:
% 172.21/26.11 | | | | | | | | | | | | | | | | | | | | | | | | (4230) ~ (all_14_1 = e1)
% 172.21/26.11 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.21/26.11 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (187), (259), (267), (269), (489), (865), (3159),
% 172.21/26.11 | | | | | | | | | | | | | | | | | | | | | | | | (3160), (3193), (3208), (3210), (3212), (4172),
% 172.21/26.11 | | | | | | | | | | | | | | | | | | | | | | | | (4195), (4229), (4230) are inconsistent by
% 172.21/26.11 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #339.
% 172.21/26.11 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.21/26.11 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.21/26.11 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.21/26.11 | | | | | | | | | | | | | | | | | | | | | | | | (4231) ~ (unit = e1)
% 172.21/26.11 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.21/26.11 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4224), (4227), (4231) are inconsistent by
% 172.21/26.11 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #419.
% 172.21/26.11 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.21/26.11 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.21/26.11 | | | | | | | | | | | | | | | | | | | | | | |
% 172.21/26.11 | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.21/26.11 | | | | | | | | | | | | | | | | | | | | | |
% 172.21/26.11 | | | | | | | | | | | | | | | | | | | | | End of split
% 172.21/26.11 | | | | | | | | | | | | | | | | | | | | |
% 172.21/26.11 | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.21/26.11 | | | | | | | | | | | | | | | | | | | | |
% 172.21/26.11 | | | | | | | | | | | | | | | | | | | | | (4232) all_58_2 = e0
% 172.21/26.11 | | | | | | | | | | | | | | | | | | | | |
% 172.21/26.11 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (478), (4210), (4232) are inconsistent by
% 172.21/26.11 | | | | | | | | | | | | | | | | | | | | | sub-proof #436.
% 172.21/26.11 | | | | | | | | | | | | | | | | | | | | |
% 172.21/26.11 | | | | | | | | | | | | | | | | | | | | End of split
% 172.21/26.11 | | | | | | | | | | | | | | | | | | | |
% 172.21/26.11 | | | | | | | | | | | | | | | | | | | Case 2:
% 172.21/26.11 | | | | | | | | | | | | | | | | | | | |
% 172.21/26.11 | | | | | | | | | | | | | | | | | | | | (4233) all_58_3 = e1
% 172.21/26.11 | | | | | | | | | | | | | | | | | | | | (4234) all_58_2 = e0
% 172.21/26.11 | | | | | | | | | | | | | | | | | | | |
% 172.21/26.11 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (478), (4234) imply:
% 172.21/26.11 | | | | | | | | | | | | | | | | | | | | (4235) all_52_2 = e0
% 172.21/26.11 | | | | | | | | | | | | | | | | | | | |
% 172.21/26.11 | | | | | | | | | | | | | | | | | | | | SIMP: (4235) implies:
% 172.21/26.11 | | | | | | | | | | | | | | | | | | | | (4236) all_52_2 = e0
% 172.21/26.12 | | | | | | | | | | | | | | | | | | | |
% 172.21/26.12 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (475), (4233) imply:
% 172.21/26.12 | | | | | | | | | | | | | | | | | | | | (4237) all_52_3 = e1
% 172.21/26.12 | | | | | | | | | | | | | | | | | | | |
% 172.21/26.12 | | | | | | | | | | | | | | | | | | | | SIMP: (4237) implies:
% 172.21/26.12 | | | | | | | | | | | | | | | | | | | | (4238) all_52_3 = e1
% 172.21/26.12 | | | | | | | | | | | | | | | | | | | |
% 172.21/26.12 | | | | | | | | | | | | | | | | | | | | REDUCE: (629), (4236) imply:
% 172.21/26.12 | | | | | | | | | | | | | | | | | | | | (4239) ~ (all_52_0 = e0)
% 172.21/26.12 | | | | | | | | | | | | | | | | | | | |
% 172.21/26.12 | | | | | | | | | | | | | | | | | | | | REDUCE: (630), (4238) imply:
% 172.21/26.12 | | | | | | | | | | | | | | | | | | | | (4240) ~ (all_52_0 = e1)
% 172.21/26.12 | | | | | | | | | | | | | | | | | | | |
% 172.21/26.12 | | | | | | | | | | | | | | | | | | | | REDUCE: (631), (4236) imply:
% 172.21/26.12 | | | | | | | | | | | | | | | | | | | | (4241) ~ (all_52_1 = e0)
% 172.21/26.12 | | | | | | | | | | | | | | | | | | | |
% 172.21/26.12 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (50), (150), (151), (168), (481), (484), (534),
% 172.21/26.12 | | | | | | | | | | | | | | | | | | | | (536), (714), (731), (3166), (4176), (4204),
% 172.21/26.12 | | | | | | | | | | | | | | | | | | | | (4208), (4239), (4240), (4241) are inconsistent by
% 172.21/26.12 | | | | | | | | | | | | | | | | | | | | sub-proof #337.
% 172.21/26.12 | | | | | | | | | | | | | | | | | | | |
% 172.21/26.12 | | | | | | | | | | | | | | | | | | | End of split
% 172.21/26.12 | | | | | | | | | | | | | | | | | | |
% 172.21/26.12 | | | | | | | | | | | | | | | | | | Case 2:
% 172.21/26.12 | | | | | | | | | | | | | | | | | | |
% 172.21/26.12 | | | | | | | | | | | | | | | | | | | (4242) all_58_0 = e2
% 172.21/26.12 | | | | | | | | | | | | | | | | | | |
% 172.21/26.12 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (484), (4242) imply:
% 172.21/26.12 | | | | | | | | | | | | | | | | | | | (4243) all_52_0 = e2
% 172.21/26.12 | | | | | | | | | | | | | | | | | | |
% 172.21/26.12 | | | | | | | | | | | | | | | | | | | SIMP: (4243) implies:
% 172.21/26.12 | | | | | | | | | | | | | | | | | | | (4244) all_52_0 = e2
% 172.21/26.12 | | | | | | | | | | | | | | | | | | |
% 172.21/26.12 | | | | | | | | | | | | | | | | | | | REDUCE: (714), (4244) imply:
% 172.21/26.12 | | | | | | | | | | | | | | | | | | | (4245) op(e3, e2) = unit
% 172.21/26.12 | | | | | | | | | | | | | | | | | | |
% 172.21/26.12 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_14_1, unit, e2, e3,
% 172.21/26.12 | | | | | | | | | | | | | | | | | | | simplifying with (3154), (4245) gives:
% 172.21/26.12 | | | | | | | | | | | | | | | | | | | (4246) all_14_1 = unit
% 172.21/26.12 | | | | | | | | | | | | | | | | | | |
% 172.21/26.12 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3193), (4246) imply:
% 172.21/26.12 | | | | | | | | | | | | | | | | | | | (4247) all_63_4 = unit
% 172.21/26.12 | | | | | | | | | | | | | | | | | | |
% 172.21/26.12 | | | | | | | | | | | | | | | | | | | REDUCE: (3210), (4246) imply:
% 172.21/26.12 | | | | | | | | | | | | | | | | | | | (4248) ~ (all_61_12 = unit)
% 172.21/26.12 | | | | | | | | | | | | | | | | | | |
% 172.21/26.12 | | | | | | | | | | | | | | | | | | | REDUCE: (4033), (4246) imply:
% 172.21/26.12 | | | | | | | | | | | | | | | | | | | (4249) ~ (all_20_1 = unit)
% 172.21/26.12 | | | | | | | | | | | | | | | | | | |
% 172.21/26.12 | | | | | | | | | | | | | | | | | | | REDUCE: (3212), (4246) imply:
% 172.21/26.12 | | | | | | | | | | | | | | | | | | | (4250) ~ (unit = e2)
% 172.21/26.12 | | | | | | | | | | | | | | | | | | |
% 172.21/26.12 | | | | | | | | | | | | | | | | | | | REDUCE: (4172), (4246) imply:
% 172.21/26.12 | | | | | | | | | | | | | | | | | | | (4251) ~ (unit = e0)
% 172.21/26.12 | | | | | | | | | | | | | | | | | | |
% 172.21/26.12 | | | | | | | | | | | | | | | | | | | BETA: splitting (267) gives:
% 172.21/26.12 | | | | | | | | | | | | | | | | | | |
% 172.21/26.12 | | | | | | | | | | | | | | | | | | | Case 1:
% 172.21/26.12 | | | | | | | | | | | | | | | | | | | |
% 172.21/26.12 | | | | | | | | | | | | | | | | | | | | (4252) all_63_4 = e3
% 172.21/26.12 | | | | | | | | | | | | | | | | | | | |
% 172.21/26.12 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4247), (4252) imply:
% 172.21/26.12 | | | | | | | | | | | | | | | | | | | | (4253) unit = e3
% 172.21/26.12 | | | | | | | | | | | | | | | | | | | |
% 172.21/26.12 | | | | | | | | | | | | | | | | | | | | REDUCE: (851), (4253) imply:
% 172.21/26.12 | | | | | | | | | | | | | | | | | | | | (4254) $false
% 172.21/26.12 | | | | | | | | | | | | | | | | | | | |
% 172.21/26.12 | | | | | | | | | | | | | | | | | | | | CLOSE: (4254) is inconsistent.
% 172.21/26.12 | | | | | | | | | | | | | | | | | | | |
% 172.21/26.12 | | | | | | | | | | | | | | | | | | | Case 2:
% 172.21/26.12 | | | | | | | | | | | | | | | | | | | |
% 172.21/26.12 | | | | | | | | | | | | | | | | | | | | (4255) all_63_4 = e2 | all_63_4 = e1 | all_63_4 = e0
% 172.21/26.12 | | | | | | | | | | | | | | | | | | | |
% 172.21/26.12 | | | | | | | | | | | | | | | | | | | | BETA: splitting (4255) gives:
% 172.21/26.12 | | | | | | | | | | | | | | | | | | | |
% 172.21/26.12 | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.21/26.12 | | | | | | | | | | | | | | | | | | | | |
% 172.21/26.12 | | | | | | | | | | | | | | | | | | | | | (4256) all_63_4 = e2
% 172.21/26.12 | | | | | | | | | | | | | | | | | | | | |
% 172.21/26.12 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4247), (4256) imply:
% 172.21/26.12 | | | | | | | | | | | | | | | | | | | | | (4257) unit = e2
% 172.21/26.12 | | | | | | | | | | | | | | | | | | | | |
% 172.21/26.12 | | | | | | | | | | | | | | | | | | | | | REDUCE: (4250), (4257) imply:
% 172.21/26.12 | | | | | | | | | | | | | | | | | | | | | (4258) $false
% 172.21/26.12 | | | | | | | | | | | | | | | | | | | | |
% 172.21/26.12 | | | | | | | | | | | | | | | | | | | | | CLOSE: (4258) is inconsistent.
% 172.21/26.12 | | | | | | | | | | | | | | | | | | | | |
% 172.21/26.12 | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.21/26.12 | | | | | | | | | | | | | | | | | | | | |
% 172.21/26.12 | | | | | | | | | | | | | | | | | | | | | (4259) all_63_4 = e1 | all_63_4 = e0
% 172.21/26.12 | | | | | | | | | | | | | | | | | | | | |
% 172.21/26.12 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4259) gives:
% 172.21/26.12 | | | | | | | | | | | | | | | | | | | | |
% 172.21/26.12 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.21/26.12 | | | | | | | | | | | | | | | | | | | | | |
% 172.21/26.12 | | | | | | | | | | | | | | | | | | | | | | (4260) all_63_4 = e1
% 172.21/26.12 | | | | | | | | | | | | | | | | | | | | | |
% 172.21/26.12 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4247), (4260) imply:
% 172.21/26.12 | | | | | | | | | | | | | | | | | | | | | | (4261) unit = e1
% 172.21/26.12 | | | | | | | | | | | | | | | | | | | | | |
% 172.21/26.12 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4248), (4261) imply:
% 172.21/26.12 | | | | | | | | | | | | | | | | | | | | | | (4262) ~ (all_61_12 = e1)
% 172.21/26.12 | | | | | | | | | | | | | | | | | | | | | |
% 172.21/26.12 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4249), (4261) imply:
% 172.21/26.12 | | | | | | | | | | | | | | | | | | | | | | (4263) ~ (all_20_1 = e1)
% 172.21/26.12 | | | | | | | | | | | | | | | | | | | | | |
% 172.21/26.12 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4182) gives:
% 172.21/26.12 | | | | | | | | | | | | | | | | | | | | | |
% 172.21/26.12 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.21/26.12 | | | | | | | | | | | | | | | | | | | | | | |
% 172.21/26.12 | | | | | | | | | | | | | | | | | | | | | | | (4264) ~ (all_38_1 = e3)
% 172.21/26.12 | | | | | | | | | | | | | | | | | | | | | | |
% 172.21/26.12 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4192), (4264) imply:
% 172.21/26.12 | | | | | | | | | | | | | | | | | | | | | | | (4265) ~ (all_20_1 = e3)
% 172.21/26.12 | | | | | | | | | | | | | | | | | | | | | | |
% 172.21/26.12 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (258), (4029), (4035), (4171), (4263), (4265) are
% 172.21/26.12 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #379.
% 172.21/26.12 | | | | | | | | | | | | | | | | | | | | | | |
% 172.21/26.12 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.21/26.12 | | | | | | | | | | | | | | | | | | | | | | |
% 172.21/26.12 | | | | | | | | | | | | | | | | | | | | | | | (4266) all_38_1 = e3
% 172.21/26.12 | | | | | | | | | | | | | | | | | | | | | | |
% 172.21/26.12 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4192), (4266) imply:
% 172.21/26.12 | | | | | | | | | | | | | | | | | | | | | | | (4267) all_20_1 = e3
% 172.21/26.12 | | | | | | | | | | | | | | | | | | | | | | |
% 172.21/26.12 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4032), (4267) imply:
% 172.21/26.12 | | | | | | | | | | | | | | | | | | | | | | | (4268) ~ (all_61_11 = e3)
% 172.21/26.12 | | | | | | | | | | | | | | | | | | | | | | |
% 172.21/26.12 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4198), (4267) imply:
% 172.21/26.12 | | | | | | | | | | | | | | | | | | | | | | | (4269) ~ (all_61_12 = e3)
% 172.21/26.12 | | | | | | | | | | | | | | | | | | | | | | |
% 172.21/26.12 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (257) gives:
% 172.21/26.12 | | | | | | | | | | | | | | | | | | | | | | |
% 172.21/26.12 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.21/26.12 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.21/26.12 | | | | | | | | | | | | | | | | | | | | | | | | (4270) all_63_14 = e3
% 172.21/26.12 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.21/26.12 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (510), (4270) imply:
% 172.21/26.12 | | | | | | | | | | | | | | | | | | | | | | | | (4271) all_61_11 = e3
% 172.21/26.12 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.21/26.12 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4268), (4271) imply:
% 172.21/26.12 | | | | | | | | | | | | | | | | | | | | | | | | (4272) $false
% 172.21/26.12 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.21/26.12 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4272) is inconsistent.
% 172.21/26.12 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.21/26.12 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.21/26.12 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.21/26.12 | | | | | | | | | | | | | | | | | | | | | | | | (4273) all_63_14 = e2 | all_63_14 = e1 | all_63_14 = e0
% 172.21/26.12 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.21/26.12 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4273) gives:
% 172.21/26.12 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.21/26.12 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.21/26.12 | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.21/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | (4274) all_63_14 = e2
% 172.21/26.12 | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.21/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (510), (4274) imply:
% 172.21/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | (4275) all_61_11 = e2
% 172.21/26.12 | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.21/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4007), (4275) imply:
% 172.21/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | (4276) $false
% 172.21/26.12 | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.21/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4276) is inconsistent.
% 172.21/26.12 | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.21/26.12 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.21/26.12 | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.21/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | (4277) all_63_14 = e1 | all_63_14 = e0
% 172.21/26.12 | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.21/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (268), (491), (510), (867), (3160), (4197),
% 172.21/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | (4262), (4269), (4277) are inconsistent by
% 172.21/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #350.
% 172.21/26.12 | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.21/26.12 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.21/26.12 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.21/26.12 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.21/26.12 | | | | | | | | | | | | | | | | | | | | | | |
% 172.21/26.12 | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.21/26.12 | | | | | | | | | | | | | | | | | | | | | |
% 172.21/26.12 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.21/26.12 | | | | | | | | | | | | | | | | | | | | | |
% 172.21/26.12 | | | | | | | | | | | | | | | | | | | | | | (4278) all_63_4 = e0
% 172.21/26.12 | | | | | | | | | | | | | | | | | | | | | |
% 172.21/26.12 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4247), (4278) imply:
% 172.21/26.12 | | | | | | | | | | | | | | | | | | | | | | (4279) unit = e0
% 172.21/26.12 | | | | | | | | | | | | | | | | | | | | | |
% 172.21/26.12 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4251), (4279) imply:
% 172.21/26.12 | | | | | | | | | | | | | | | | | | | | | | (4280) $false
% 172.21/26.12 | | | | | | | | | | | | | | | | | | | | | |
% 172.21/26.12 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4280) is inconsistent.
% 172.21/26.12 | | | | | | | | | | | | | | | | | | | | | |
% 172.21/26.12 | | | | | | | | | | | | | | | | | | | | | End of split
% 172.21/26.12 | | | | | | | | | | | | | | | | | | | | |
% 172.21/26.12 | | | | | | | | | | | | | | | | | | | | End of split
% 172.21/26.12 | | | | | | | | | | | | | | | | | | | |
% 172.21/26.12 | | | | | | | | | | | | | | | | | | | End of split
% 172.21/26.12 | | | | | | | | | | | | | | | | | | |
% 172.21/26.12 | | | | | | | | | | | | | | | | | | End of split
% 172.21/26.12 | | | | | | | | | | | | | | | | | |
% 172.21/26.12 | | | | | | | | | | | | | | | | | Case 2:
% 172.21/26.12 | | | | | | | | | | | | | | | | | |
% 172.21/26.12 | | | | | | | | | | | | | | | | | | (4281) all_58_0 = e0
% 172.21/26.12 | | | | | | | | | | | | | | | | | |
% 172.21/26.12 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (484), (4281) imply:
% 172.21/26.12 | | | | | | | | | | | | | | | | | | (4282) all_52_0 = e0
% 172.21/26.12 | | | | | | | | | | | | | | | | | |
% 172.21/26.12 | | | | | | | | | | | | | | | | | | SIMP: (4282) implies:
% 172.21/26.12 | | | | | | | | | | | | | | | | | | (4283) all_52_0 = e0
% 172.21/26.12 | | | | | | | | | | | | | | | | | |
% 172.21/26.12 | | | | | | | | | | | | | | | | | | REDUCE: (714), (4283) imply:
% 172.21/26.12 | | | | | | | | | | | | | | | | | | (4284) op(e3, e0) = unit
% 172.21/26.12 | | | | | | | | | | | | | | | | | |
% 172.21/26.12 | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (50), (235), (4038), (4172), (4284) are
% 172.21/26.12 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #336.
% 172.21/26.12 | | | | | | | | | | | | | | | | | |
% 172.21/26.12 | | | | | | | | | | | | | | | | | End of split
% 172.21/26.12 | | | | | | | | | | | | | | | | |
% 172.21/26.12 | | | | | | | | | | | | | | | | Case 2:
% 172.21/26.12 | | | | | | | | | | | | | | | | |
% 172.21/26.12 | | | | | | | | | | | | | | | | | (4285) all_58_2 = e2
% 172.21/26.12 | | | | | | | | | | | | | | | | |
% 172.21/26.12 | | | | | | | | | | | | | | | | | REF_CLOSE: (478), (4202), (4285) are inconsistent by
% 172.21/26.12 | | | | | | | | | | | | | | | | | sub-proof #433.
% 172.21/26.12 | | | | | | | | | | | | | | | | |
% 172.21/26.12 | | | | | | | | | | | | | | | | End of split
% 172.21/26.12 | | | | | | | | | | | | | | | |
% 172.21/26.12 | | | | | | | | | | | | | | | Case 2:
% 172.21/26.12 | | | | | | | | | | | | | | | |
% 172.21/26.12 | | | | | | | | | | | | | | | | (4286) all_58_2 = e2
% 172.21/26.12 | | | | | | | | | | | | | | | | (4287) all_58_1 = e1
% 172.21/26.12 | | | | | | | | | | | | | | | |
% 172.21/26.12 | | | | | | | | | | | | | | | | COMBINE_EQS: (481), (4287) imply:
% 172.21/26.12 | | | | | | | | | | | | | | | | (4288) all_52_1 = e1
% 172.21/26.12 | | | | | | | | | | | | | | | |
% 172.21/26.12 | | | | | | | | | | | | | | | | SIMP: (4288) implies:
% 172.21/26.12 | | | | | | | | | | | | | | | | (4289) all_52_1 = e1
% 172.21/26.12 | | | | | | | | | | | | | | | |
% 172.21/26.12 | | | | | | | | | | | | | | | | COMBINE_EQS: (478), (4286) imply:
% 172.21/26.12 | | | | | | | | | | | | | | | | (4290) all_52_2 = e2
% 172.21/26.12 | | | | | | | | | | | | | | | |
% 172.21/26.12 | | | | | | | | | | | | | | | | SIMP: (4290) implies:
% 172.21/26.12 | | | | | | | | | | | | | | | | (4291) all_52_2 = e2
% 172.21/26.12 | | | | | | | | | | | | | | | |
% 172.21/26.12 | | | | | | | | | | | | | | | | REDUCE: (628), (4289) imply:
% 172.21/26.12 | | | | | | | | | | | | | | | | (4292) ~ (all_52_0 = e1)
% 172.21/26.12 | | | | | | | | | | | | | | | |
% 172.21/26.12 | | | | | | | | | | | | | | | | REDUCE: (629), (4291) imply:
% 172.21/26.12 | | | | | | | | | | | | | | | | (4293) ~ (all_52_0 = e2)
% 172.21/26.12 | | | | | | | | | | | | | | | |
% 172.21/26.12 | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (19), (50), (151), (159), (166), (235),
% 172.21/26.12 | | | | | | | | | | | | | | | | (475), (484), (534), (714), (3166), (4038),
% 172.21/26.12 | | | | | | | | | | | | | | | | (4172), (4176), (4292), (4293) are inconsistent by
% 172.21/26.12 | | | | | | | | | | | | | | | | sub-proof #335.
% 172.21/26.12 | | | | | | | | | | | | | | | |
% 172.21/26.12 | | | | | | | | | | | | | | | End of split
% 172.21/26.12 | | | | | | | | | | | | | | |
% 172.21/26.12 | | | | | | | | | | | | | | End of split
% 172.21/26.12 | | | | | | | | | | | | | |
% 172.21/26.12 | | | | | | | | | | | | | End of split
% 172.21/26.12 | | | | | | | | | | | | |
% 172.25/26.12 | | | | | | | | | | | | End of split
% 172.25/26.12 | | | | | | | | | | | |
% 172.25/26.12 | | | | | | | | | | | End of split
% 172.25/26.12 | | | | | | | | | | |
% 172.25/26.12 | | | | | | | | | | End of split
% 172.25/26.12 | | | | | | | | | |
% 172.25/26.12 | | | | | | | | | Case 2:
% 172.25/26.12 | | | | | | | | | |
% 172.25/26.12 | | | | | | | | | | (4294) all_12_2 = e1
% 172.25/26.12 | | | | | | | | | | (4295) op(e2, e1) = all_12_1 & $i(all_12_1) & ( ~
% 172.25/26.12 | | | | | | | | | | (all_12_1 = e3) | ( ~ (all_12_0 = e0) & op(e3,
% 172.25/26.12 | | | | | | | | | | e2) = all_12_0 & $i(all_12_0)))
% 172.25/26.12 | | | | | | | | | |
% 172.25/26.12 | | | | | | | | | | ALPHA: (4295) implies:
% 172.25/26.12 | | | | | | | | | | (4296) op(e2, e1) = all_12_1
% 172.25/26.12 | | | | | | | | | |
% 172.25/26.12 | | | | | | | | | | COMBINE_EQS: (575), (4294) imply:
% 172.25/26.12 | | | | | | | | | | (4297) all_6_2 = e1
% 172.25/26.12 | | | | | | | | | |
% 172.25/26.12 | | | | | | | | | | COMBINE_EQS: (570), (4297) imply:
% 172.25/26.12 | | | | | | | | | | (4298) all_16_2 = e1
% 172.25/26.12 | | | | | | | | | |
% 172.25/26.12 | | | | | | | | | | REDUCE: (604), (4297) imply:
% 172.25/26.12 | | | | | | | | | | (4299) ~ (all_61_1 = e1)
% 172.25/26.12 | | | | | | | | | |
% 172.25/26.12 | | | | | | | | | | REDUCE: (607), (4297) imply:
% 172.25/26.12 | | | | | | | | | | (4300) ~ (all_61_4 = e1)
% 172.25/26.12 | | | | | | | | | |
% 172.25/26.12 | | | | | | | | | | REDUCE: (611), (4297) imply:
% 172.25/26.12 | | | | | | | | | | (4301) ~ (all_61_7 = e1)
% 172.25/26.12 | | | | | | | | | |
% 172.25/26.12 | | | | | | | | | | REDUCE: (615), (4297) imply:
% 172.25/26.12 | | | | | | | | | | (4302) ~ (all_61_13 = e1)
% 172.25/26.12 | | | | | | | | | |
% 172.25/26.12 | | | | | | | | | | REDUCE: (654), (4297) imply:
% 172.25/26.12 | | | | | | | | | | (4303) op(e1, e3) = all_65_20
% 172.25/26.12 | | | | | | | | | |
% 172.25/26.12 | | | | | | | | | | REDUCE: (655), (4297) imply:
% 172.25/26.12 | | | | | | | | | | (4304) op(e1, e2) = all_65_21
% 172.25/26.12 | | | | | | | | | |
% 172.25/26.12 | | | | | | | | | | REDUCE: (656), (4297) imply:
% 172.25/26.12 | | | | | | | | | | (4305) op(e1, e1) = all_65_22
% 172.25/26.12 | | | | | | | | | |
% 172.25/26.12 | | | | | | | | | | REDUCE: (657), (4297) imply:
% 172.25/26.12 | | | | | | | | | | (4306) op(e1, e0) = all_65_23
% 172.25/26.12 | | | | | | | | | |
% 172.25/26.12 | | | | | | | | | | REDUCE: (703), (4297) imply:
% 172.25/26.12 | | | | | | | | | | (4307) op(e3, e1) = all_65_5
% 172.25/26.12 | | | | | | | | | |
% 172.25/26.12 | | | | | | | | | | REDUCE: (720), (4297) imply:
% 172.25/26.12 | | | | | | | | | | (4308) op(e2, e1) = all_65_21
% 172.25/26.12 | | | | | | | | | |
% 172.25/26.12 | | | | | | | | | | REDUCE: (55), (4297) imply:
% 172.25/26.12 | | | | | | | | | | (4309) op(e2, e2) = e1
% 172.25/26.12 | | | | | | | | | |
% 172.25/26.12 | | | | | | | | | | REDUCE: (737), (4297) imply:
% 172.25/26.12 | | | | | | | | | | (4310) op(e1, e1) = all_65_37
% 172.25/26.12 | | | | | | | | | |
% 172.25/26.12 | | | | | | | | | | REDUCE: (754), (4297) imply:
% 172.25/26.12 | | | | | | | | | | (4311) op(e0, e1) = all_65_59
% 172.25/26.12 | | | | | | | | | |
% 172.25/26.12 | | | | | | | | | | BETA: splitting (71) gives:
% 172.25/26.12 | | | | | | | | | |
% 172.25/26.12 | | | | | | | | | | Case 1:
% 172.25/26.12 | | | | | | | | | | |
% 172.25/26.12 | | | | | | | | | | | (4312) ~ (all_16_2 = e1)
% 172.25/26.12 | | | | | | | | | | |
% 172.25/26.12 | | | | | | | | | | | REDUCE: (4298), (4312) imply:
% 172.25/26.12 | | | | | | | | | | | (4313) $false
% 172.25/26.12 | | | | | | | | | | |
% 172.25/26.12 | | | | | | | | | | | CLOSE: (4313) is inconsistent.
% 172.25/26.12 | | | | | | | | | | |
% 172.25/26.12 | | | | | | | | | | Case 2:
% 172.25/26.12 | | | | | | | | | | |
% 172.25/26.12 | | | | | | | | | | | (4314) op(e2, e1) = all_16_1 & $i(all_16_1) & ( ~
% 172.25/26.12 | | | | | | | | | | | (all_16_1 = e0) | ( ~ (all_16_0 = e3) & op(e0,
% 172.25/26.12 | | | | | | | | | | | e2) = all_16_0 & $i(all_16_0)))
% 172.25/26.12 | | | | | | | | | | |
% 172.25/26.12 | | | | | | | | | | | ALPHA: (4314) implies:
% 172.25/26.12 | | | | | | | | | | | (4315) op(e2, e1) = all_16_1
% 172.25/26.12 | | | | | | | | | | | (4316) ~ (all_16_1 = e0) | ( ~ (all_16_0 = e3) & op(e0,
% 172.25/26.12 | | | | | | | | | | | e2) = all_16_0 & $i(all_16_0))
% 172.25/26.12 | | | | | | | | | | |
% 172.25/26.12 | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_11, all_65_59, e1,
% 172.25/26.12 | | | | | | | | | | | e0, simplifying with (224), (4311) gives:
% 172.25/26.12 | | | | | | | | | | | (4317) all_65_59 = all_61_11
% 172.25/26.12 | | | | | | | | | | |
% 172.25/26.12 | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_14, all_65_23, e0,
% 172.25/26.12 | | | | | | | | | | | e1, simplifying with (227), (4306) gives:
% 172.25/26.12 | | | | | | | | | | | (4318) all_65_23 = all_61_14
% 172.25/26.12 | | | | | | | | | | |
% 172.25/26.12 | | | | | | | | | | | GROUND_INST: instantiating (50) with e1, all_65_22, e1, e1,
% 172.25/26.12 | | | | | | | | | | | simplifying with (876), (4305) gives:
% 172.25/26.12 | | | | | | | | | | | (4319) all_65_22 = e1
% 172.25/26.12 | | | | | | | | | | |
% 172.25/26.12 | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_37, all_65_22, e1,
% 172.25/26.12 | | | | | | | | | | | e1, simplifying with (4305), (4310) gives:
% 172.25/26.12 | | | | | | | | | | | (4320) all_65_22 = all_65_37
% 172.25/26.12 | | | | | | | | | | |
% 172.25/26.12 | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_6, all_65_21, e2,
% 172.25/26.12 | | | | | | | | | | | e1, simplifying with (229), (4304) gives:
% 172.25/26.12 | | | | | | | | | | | (4321) all_65_21 = all_61_6
% 172.25/26.12 | | | | | | | | | | |
% 172.25/26.12 | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_2, all_65_20, e3,
% 172.25/26.12 | | | | | | | | | | | e1, simplifying with (230), (4303) gives:
% 172.25/26.12 | | | | | | | | | | | (4322) all_65_20 = all_61_2
% 172.25/26.12 | | | | | | | | | | |
% 172.25/26.12 | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_9, all_16_1, e1,
% 172.25/26.12 | | | | | | | | | | | e2, simplifying with (232), (4315) gives:
% 172.25/26.12 | | | | | | | | | | | (4323) all_61_9 = all_16_1
% 172.25/26.12 | | | | | | | | | | |
% 172.25/26.12 | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_9, all_65_21, e1,
% 172.25/26.12 | | | | | | | | | | | e2, simplifying with (232), (4308) gives:
% 172.25/26.12 | | | | | | | | | | | (4324) all_65_21 = all_61_9
% 172.25/26.12 | | | | | | | | | | |
% 172.25/26.12 | | | | | | | | | | | GROUND_INST: instantiating (50) with all_12_1, all_65_21, e1,
% 172.25/26.12 | | | | | | | | | | | e2, simplifying with (4296), (4308) gives:
% 172.25/26.12 | | | | | | | | | | | (4325) all_65_21 = all_12_1
% 172.25/26.12 | | | | | | | | | | |
% 172.25/26.12 | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_8, all_65_5, e1,
% 172.25/26.12 | | | | | | | | | | | e3, simplifying with (236), (4307) gives:
% 172.25/26.12 | | | | | | | | | | | (4326) all_65_5 = all_61_8
% 172.25/26.12 | | | | | | | | | | |
% 172.25/26.12 | | | | | | | | | | | COMBINE_EQS: (4321), (4325) imply:
% 172.25/26.12 | | | | | | | | | | | (4327) all_61_6 = all_12_1
% 172.25/26.12 | | | | | | | | | | |
% 172.25/26.12 | | | | | | | | | | | SIMP: (4327) implies:
% 172.25/26.12 | | | | | | | | | | | (4328) all_61_6 = all_12_1
% 172.25/26.12 | | | | | | | | | | |
% 172.25/26.12 | | | | | | | | | | | COMBINE_EQS: (4324), (4325) imply:
% 172.25/26.12 | | | | | | | | | | | (4329) all_61_9 = all_12_1
% 172.25/26.12 | | | | | | | | | | |
% 172.25/26.12 | | | | | | | | | | | SIMP: (4329) implies:
% 172.25/26.13 | | | | | | | | | | | (4330) all_61_9 = all_12_1
% 172.25/26.13 | | | | | | | | | | |
% 172.25/26.13 | | | | | | | | | | | COMBINE_EQS: (4319), (4320) imply:
% 172.25/26.13 | | | | | | | | | | | (4331) all_65_37 = e1
% 172.25/26.13 | | | | | | | | | | |
% 172.25/26.13 | | | | | | | | | | | COMBINE_EQS: (4323), (4330) imply:
% 172.25/26.13 | | | | | | | | | | | (4332) all_16_1 = all_12_1
% 172.25/26.13 | | | | | | | | | | |
% 172.25/26.13 | | | | | | | | | | | SIMP: (4332) implies:
% 172.25/26.13 | | | | | | | | | | | (4333) all_16_1 = all_12_1
% 172.25/26.13 | | | | | | | | | | |
% 172.25/26.13 | | | | | | | | | | | COMBINE_EQS: (501), (4328) imply:
% 172.25/26.13 | | | | | | | | | | | (4334) all_63_9 = all_12_1
% 172.25/26.13 | | | | | | | | | | |
% 172.25/26.13 | | | | | | | | | | | COMBINE_EQS: (497), (4330) imply:
% 172.25/26.13 | | | | | | | | | | | (4335) all_63_6 = all_12_1
% 172.25/26.13 | | | | | | | | | | |
% 172.25/26.13 | | | | | | | | | | | REDUCE: (213), (4330) imply:
% 172.25/26.13 | | | | | | | | | | | (4336) ~ (all_61_1 = all_12_1)
% 172.25/26.13 | | | | | | | | | | |
% 172.25/26.13 | | | | | | | | | | | REDUCE: (210), (4328) imply:
% 172.25/26.13 | | | | | | | | | | | (4337) ~ (all_61_2 = all_12_1)
% 172.25/26.13 | | | | | | | | | | |
% 172.25/26.13 | | | | | | | | | | | REDUCE: (203), (4328) imply:
% 172.25/26.13 | | | | | | | | | | | (4338) ~ (all_61_4 = all_12_1)
% 172.25/26.13 | | | | | | | | | | |
% 172.25/26.13 | | | | | | | | | | | REDUCE: (195), (4328) imply:
% 172.25/26.13 | | | | | | | | | | | (4339) ~ (all_61_7 = all_12_1)
% 172.25/26.13 | | | | | | | | | | |
% 172.25/26.13 | | | | | | | | | | | SIMP: (4339) implies:
% 172.25/26.13 | | | | | | | | | | | (4340) ~ (all_61_7 = all_12_1)
% 172.25/26.13 | | | | | | | | | | |
% 172.25/26.13 | | | | | | | | | | | REDUCE: (193), (4328) imply:
% 172.25/26.13 | | | | | | | | | | | (4341) ~ (all_61_14 = all_12_1)
% 172.25/26.13 | | | | | | | | | | |
% 172.25/26.13 | | | | | | | | | | | SIMP: (4341) implies:
% 172.25/26.13 | | | | | | | | | | | (4342) ~ (all_61_14 = all_12_1)
% 172.25/26.13 | | | | | | | | | | |
% 172.25/26.13 | | | | | | | | | | | REDUCE: (190), (4330) imply:
% 172.25/26.13 | | | | | | | | | | | (4343) ~ (all_61_8 = all_12_1)
% 172.25/26.13 | | | | | | | | | | |
% 172.25/26.13 | | | | | | | | | | | REDUCE: (185), (4330) imply:
% 172.25/26.13 | | | | | | | | | | | (4344) ~ (all_61_11 = all_12_1)
% 172.25/26.13 | | | | | | | | | | |
% 172.25/26.13 | | | | | | | | | | | SIMP: (4344) implies:
% 172.25/26.13 | | | | | | | | | | | (4345) ~ (all_61_11 = all_12_1)
% 172.25/26.13 | | | | | | | | | | |
% 172.25/26.13 | | | | | | | | | | | REDUCE: (184), (4330) imply:
% 172.25/26.13 | | | | | | | | | | | (4346) ~ (all_61_13 = all_12_1)
% 172.25/26.13 | | | | | | | | | | |
% 172.25/26.13 | | | | | | | | | | | SIMP: (4346) implies:
% 172.25/26.13 | | | | | | | | | | | (4347) ~ (all_61_13 = all_12_1)
% 172.25/26.13 | | | | | | | | | | |
% 172.25/26.13 | | | | | | | | | | | REDUCE: (866), (4330) imply:
% 172.25/26.13 | | | | | | | | | | | (4348) ~ (all_12_1 = e1)
% 172.25/26.13 | | | | | | | | | | |
% 172.25/26.13 | | | | | | | | | | | REDUCE: (639), (4326) imply:
% 172.25/26.13 | | | | | | | | | | | (4349) op(all_61_4, e2) = all_61_8
% 172.25/26.13 | | | | | | | | | | |
% 172.25/26.13 | | | | | | | | | | | REDUCE: (671), (4328), (4331) imply:
% 172.25/26.13 | | | | | | | | | | | (4350) op(all_12_1, e2) = e1
% 172.25/26.13 | | | | | | | | | | |
% 172.25/26.13 | | | | | | | | | | | REDUCE: (673), (4328) imply:
% 172.25/26.13 | | | | | | | | | | | (4351) op(all_12_1, e0) = all_65_39
% 172.25/26.13 | | | | | | | | | | |
% 172.25/26.13 | | | | | | | | | | | REDUCE: (687), (4317) imply:
% 172.25/26.13 | | | | | | | | | | | (4352) op(all_61_7, e2) = all_61_11
% 172.25/26.13 | | | | | | | | | | |
% 172.25/26.13 | | | | | | | | | | | REDUCE: (659), (4330) imply:
% 172.25/26.13 | | | | | | | | | | | (4353) op(all_12_1, e2) = all_65_25
% 172.25/26.13 | | | | | | | | | | |
% 172.25/26.13 | | | | | | | | | | | REDUCE: (661), (4330) imply:
% 172.25/26.13 | | | | | | | | | | | (4354) op(all_12_1, e0) = all_65_27
% 172.25/26.13 | | | | | | | | | | |
% 172.25/26.13 | | | | | | | | | | | REDUCE: (719), (4322) imply:
% 172.25/26.13 | | | | | | | | | | | (4355) op(e2, all_61_1) = all_61_2
% 172.25/26.13 | | | | | | | | | | |
% 172.25/26.13 | | | | | | | | | | | REDUCE: (722), (4318) imply:
% 172.25/26.13 | | | | | | | | | | | (4356) op(e2, all_61_13) = all_61_14
% 172.25/26.13 | | | | | | | | | | |
% 172.25/26.13 | | | | | | | | | | | REDUCE: (758), (4328) imply:
% 172.25/26.13 | | | | | | | | | | | (4357) op(e0, all_12_1) = all_65_67
% 172.25/26.13 | | | | | | | | | | |
% 172.25/26.13 | | | | | | | | | | | REDUCE: (755), (4330) imply:
% 172.25/26.13 | | | | | | | | | | | (4358) op(e0, all_12_1) = all_65_61
% 172.25/26.13 | | | | | | | | | | |
% 172.25/26.13 | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_67, all_65_61,
% 172.25/26.13 | | | | | | | | | | | all_12_1, e0, simplifying with (4357), (4358)
% 172.25/26.13 | | | | | | | | | | | gives:
% 172.25/26.13 | | | | | | | | | | | (4359) all_65_61 = all_65_67
% 172.25/26.13 | | | | | | | | | | |
% 172.25/26.13 | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_39, all_65_27, e0,
% 172.25/26.13 | | | | | | | | | | | all_12_1, simplifying with (4351), (4354) gives:
% 172.25/26.13 | | | | | | | | | | | (4360) all_65_27 = all_65_39
% 172.25/26.13 | | | | | | | | | | |
% 172.25/26.13 | | | | | | | | | | | GROUND_INST: instantiating (50) with e1, all_65_25, e2,
% 172.25/26.13 | | | | | | | | | | | all_12_1, simplifying with (4350), (4353) gives:
% 172.25/26.13 | | | | | | | | | | | (4361) all_65_25 = e1
% 172.25/26.13 | | | | | | | | | | |
% 172.25/26.13 | | | | | | | | | | | REDUCE: (688), (4359) imply:
% 172.25/26.13 | | | | | | | | | | | (4362) op(all_61_7, e1) = all_65_67
% 172.25/26.13 | | | | | | | | | | |
% 172.25/26.13 | | | | | | | | | | | REDUCE: (726), (4360) imply:
% 172.25/26.13 | | | | | | | | | | | (4363) op(e2, all_61_14) = all_65_39
% 172.25/26.13 | | | | | | | | | | |
% 172.25/26.13 | | | | | | | | | | | BETA: splitting (68) gives:
% 172.25/26.13 | | | | | | | | | | |
% 172.25/26.13 | | | | | | | | | | | Case 1:
% 172.25/26.13 | | | | | | | | | | | |
% 172.25/26.13 | | | | | | | | | | | | (4364) ~ (all_14_2 = e2)
% 172.25/26.13 | | | | | | | | | | | |
% 172.25/26.13 | | | | | | | | | | | | BETA: splitting (77) gives:
% 172.25/26.13 | | | | | | | | | | | |
% 172.25/26.13 | | | | | | | | | | | | Case 1:
% 172.25/26.13 | | | | | | | | | | | | |
% 172.25/26.13 | | | | | | | | | | | | | (4365) ~ (all_20_2 = e2)
% 172.25/26.13 | | | | | | | | | | | | |
% 172.25/26.13 | | | | | | | | | | | | | BETA: splitting (89) gives:
% 172.25/26.13 | | | | | | | | | | | | |
% 172.25/26.13 | | | | | | | | | | | | | Case 1:
% 172.25/26.13 | | | | | | | | | | | | | |
% 172.25/26.13 | | | | | | | | | | | | | | (4366) ~ (all_28_2 = e3)
% 172.25/26.13 | | | | | | | | | | | | | |
% 172.25/26.13 | | | | | | | | | | | | | | REDUCE: (563), (4366) imply:
% 172.25/26.13 | | | | | | | | | | | | | | (4367) ~ (all_20_2 = e3)
% 172.25/26.13 | | | | | | | | | | | | | |
% 172.25/26.13 | | | | | | | | | | | | | | BETA: splitting (101) gives:
% 172.25/26.13 | | | | | | | | | | | | | |
% 172.25/26.13 | | | | | | | | | | | | | | Case 1:
% 172.25/26.13 | | | | | | | | | | | | | | |
% 172.25/26.13 | | | | | | | | | | | | | | | (4368) ~ (all_36_2 = e0)
% 172.25/26.13 | | | | | | | | | | | | | | |
% 172.25/26.13 | | | | | | | | | | | | | | | REDUCE: (557), (4368) imply:
% 172.25/26.13 | | | | | | | | | | | | | | | (4369) ~ (all_14_2 = e0)
% 172.25/26.13 | | | | | | | | | | | | | | |
% 172.25/26.13 | | | | | | | | | | | | | | | BETA: splitting (107) gives:
% 172.25/26.13 | | | | | | | | | | | | | | |
% 172.25/26.13 | | | | | | | | | | | | | | | Case 1:
% 172.25/26.13 | | | | | | | | | | | | | | | |
% 172.25/26.13 | | | | | | | | | | | | | | | | (4370) ~ (all_40_2 = e1)
% 172.25/26.13 | | | | | | | | | | | | | | | |
% 172.25/26.13 | | | | | | | | | | | | | | | | REDUCE: (553), (4370) imply:
% 172.25/26.13 | | | | | | | | | | | | | | | | (4371) ~ (all_14_2 = e1)
% 172.25/26.13 | | | | | | | | | | | | | | | |
% 172.25/26.13 | | | | | | | | | | | | | | | | REF_CLOSE: (10), (50), (67), (151), (159), (162), (165),
% 172.25/26.13 | | | | | | | | | | | | | | | | (166), (167), (168), (226), (230), (234), (235),
% 172.25/26.13 | | | | | | | | | | | | | | | | (236), (237), (271), (475), (478), (481), (484),
% 172.25/26.13 | | | | | | | | | | | | | | | | (534), (588), (599), (601), (603), (635), (636),
% 172.25/26.13 | | | | | | | | | | | | | | | | (637), (638), (642), (646), (650), (666), (682),
% 172.25/26.13 | | | | | | | | | | | | | | | | (698), (714), (715), (731), (732), (748), (749),
% 172.25/26.13 | | | | | | | | | | | | | | | | (765), (851), (4364), (4369), (4371) are
% 172.25/26.13 | | | | | | | | | | | | | | | | inconsistent by sub-proof #502.
% 172.25/26.13 | | | | | | | | | | | | | | | |
% 172.25/26.13 | | | | | | | | | | | | | | | Case 2:
% 172.25/26.13 | | | | | | | | | | | | | | | |
% 172.25/26.13 | | | | | | | | | | | | | | | | (4372) all_40_2 = e1
% 172.25/26.13 | | | | | | | | | | | | | | | | (4373) op(e3, e1) = all_40_1 & $i(all_40_1) & ( ~
% 172.25/26.13 | | | | | | | | | | | | | | | | (all_40_1 = e0) | ( ~ (all_40_0 = e2) & op(e0,
% 172.25/26.13 | | | | | | | | | | | | | | | | e3) = all_40_0 & $i(all_40_0)))
% 172.25/26.13 | | | | | | | | | | | | | | | |
% 172.25/26.13 | | | | | | | | | | | | | | | | ALPHA: (4373) implies:
% 172.25/26.13 | | | | | | | | | | | | | | | | (4374) op(e3, e1) = all_40_1
% 172.25/26.13 | | | | | | | | | | | | | | | |
% 172.25/26.13 | | | | | | | | | | | | | | | | COMBINE_EQS: (553), (4372) imply:
% 172.25/26.13 | | | | | | | | | | | | | | | | (4375) all_14_2 = e1
% 172.25/26.13 | | | | | | | | | | | | | | | |
% 172.25/26.13 | | | | | | | | | | | | | | | | COMBINE_EQS: (466), (4375) imply:
% 172.25/26.13 | | | | | | | | | | | | | | | | (4376) all_48_2 = e1
% 172.25/26.13 | | | | | | | | | | | | | | | |
% 172.25/26.13 | | | | | | | | | | | | | | | | REDUCE: (597), (4375) imply:
% 172.25/26.13 | | | | | | | | | | | | | | | | (4377) ~ (all_61_3 = e1)
% 172.25/26.13 | | | | | | | | | | | | | | | |
% 172.25/26.13 | | | | | | | | | | | | | | | | REDUCE: (634), (4375) imply:
% 172.25/26.13 | | | | | | | | | | | | | | | | (4378) op(e1, e3) = all_65_0
% 172.25/26.13 | | | | | | | | | | | | | | | |
% 172.25/26.13 | | | | | | | | | | | | | | | | REDUCE: (636), (4375) imply:
% 172.25/26.13 | | | | | | | | | | | | | | | | (4379) op(e1, e1) = all_65_2
% 172.25/26.13 | | | | | | | | | | | | | | | |
% 172.25/26.13 | | | | | | | | | | | | | | | | REDUCE: (637), (4375) imply:
% 172.25/26.13 | | | | | | | | | | | | | | | | (4380) op(e1, e0) = all_65_3
% 172.25/26.13 | | | | | | | | | | | | | | | |
% 172.25/26.13 | | | | | | | | | | | | | | | | REDUCE: (698), (4375) imply:
% 172.25/26.13 | | | | | | | | | | | | | | | | (4381) op(e3, e1) = all_65_0
% 172.25/26.13 | | | | | | | | | | | | | | | |
% 172.25/26.13 | | | | | | | | | | | | | | | | REDUCE: (67), (4375) imply:
% 172.25/26.13 | | | | | | | | | | | | | | | | (4382) op(e3, e3) = e1
% 172.25/26.13 | | | | | | | | | | | | | | | |
% 172.25/26.13 | | | | | | | | | | | | | | | | REDUCE: (715), (4375) imply:
% 172.25/26.13 | | | | | | | | | | | | | | | | (4383) op(e2, e1) = all_65_16
% 172.25/26.13 | | | | | | | | | | | | | | | |
% 172.25/26.13 | | | | | | | | | | | | | | | | REDUCE: (732), (4375) imply:
% 172.25/26.13 | | | | | | | | | | | | | | | | (4384) op(e1, e1) = all_65_32
% 172.25/26.13 | | | | | | | | | | | | | | | |
% 172.25/26.13 | | | | | | | | | | | | | | | | REDUCE: (749), (4375) imply:
% 172.25/26.13 | | | | | | | | | | | | | | | | (4385) op(e0, e1) = all_65_49
% 172.25/26.13 | | | | | | | | | | | | | | | |
% 172.25/26.13 | | | | | | | | | | | | | | | | BETA: splitting (119) gives:
% 172.25/26.13 | | | | | | | | | | | | | | | |
% 172.25/26.13 | | | | | | | | | | | | | | | | Case 1:
% 172.25/26.13 | | | | | | | | | | | | | | | | |
% 172.25/26.13 | | | | | | | | | | | | | | | | | (4386) ~ (all_48_2 = e1)
% 172.25/26.13 | | | | | | | | | | | | | | | | |
% 172.25/26.13 | | | | | | | | | | | | | | | | | REDUCE: (4376), (4386) imply:
% 172.25/26.13 | | | | | | | | | | | | | | | | | (4387) $false
% 172.25/26.13 | | | | | | | | | | | | | | | | |
% 172.25/26.13 | | | | | | | | | | | | | | | | | CLOSE: (4387) is inconsistent.
% 172.25/26.13 | | | | | | | | | | | | | | | | |
% 172.25/26.13 | | | | | | | | | | | | | | | | Case 2:
% 172.25/26.13 | | | | | | | | | | | | | | | | |
% 172.25/26.13 | | | | | | | | | | | | | | | | | (4388) op(e3, e1) = all_48_1 & $i(all_48_1) & ( ~
% 172.25/26.13 | | | | | | | | | | | | | | | | | (all_48_1 = e2) | ( ~ (all_48_0 = e0) & op(e2,
% 172.25/26.13 | | | | | | | | | | | | | | | | | e3) = all_48_0 & $i(all_48_0)))
% 172.25/26.13 | | | | | | | | | | | | | | | | |
% 172.25/26.13 | | | | | | | | | | | | | | | | | ALPHA: (4388) implies:
% 172.25/26.13 | | | | | | | | | | | | | | | | | (4389) op(e3, e1) = all_48_1
% 172.25/26.13 | | | | | | | | | | | | | | | | |
% 172.25/26.13 | | | | | | | | | | | | | | | | | BETA: splitting (171) gives:
% 172.25/26.13 | | | | | | | | | | | | | | | | |
% 172.25/26.13 | | | | | | | | | | | | | | | | | Case 1:
% 172.25/26.13 | | | | | | | | | | | | | | | | | |
% 172.25/26.13 | | | | | | | | | | | | | | | | | | (4390) ( ~ (all_60_0 = e1) & op(e3, e3) = all_60_0 &
% 172.25/26.13 | | | | | | | | | | | | | | | | | | $i(all_60_0)) | ( ~ (all_60_1 = e1) & op(e2, e2)
% 172.25/26.13 | | | | | | | | | | | | | | | | | | = all_60_1 & $i(all_60_1))
% 172.25/26.13 | | | | | | | | | | | | | | | | | |
% 172.25/26.13 | | | | | | | | | | | | | | | | | | BETA: splitting (4390) gives:
% 172.25/26.13 | | | | | | | | | | | | | | | | | |
% 172.25/26.13 | | | | | | | | | | | | | | | | | | Case 1:
% 172.25/26.13 | | | | | | | | | | | | | | | | | | |
% 172.25/26.13 | | | | | | | | | | | | | | | | | | | (4391) ~ (all_60_0 = e1) & op(e3, e3) = all_60_0 &
% 172.25/26.13 | | | | | | | | | | | | | | | | | | | $i(all_60_0)
% 172.25/26.13 | | | | | | | | | | | | | | | | | | |
% 172.25/26.13 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (50), (4382), (4391) are inconsistent by sub-proof
% 172.25/26.13 | | | | | | | | | | | | | | | | | | | #334.
% 172.25/26.13 | | | | | | | | | | | | | | | | | | |
% 172.25/26.13 | | | | | | | | | | | | | | | | | | Case 2:
% 172.25/26.13 | | | | | | | | | | | | | | | | | | |
% 172.25/26.13 | | | | | | | | | | | | | | | | | | | (4392) ~ (all_60_1 = e1) & op(e2, e2) = all_60_1 &
% 172.25/26.13 | | | | | | | | | | | | | | | | | | | $i(all_60_1)
% 172.25/26.13 | | | | | | | | | | | | | | | | | | |
% 172.25/26.13 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (50), (4309), (4392) are inconsistent by sub-proof
% 172.25/26.13 | | | | | | | | | | | | | | | | | | | #333.
% 172.25/26.13 | | | | | | | | | | | | | | | | | | |
% 172.25/26.13 | | | | | | | | | | | | | | | | | | End of split
% 172.25/26.13 | | | | | | | | | | | | | | | | | |
% 172.25/26.13 | | | | | | | | | | | | | | | | | Case 2:
% 172.25/26.13 | | | | | | | | | | | | | | | | | |
% 172.25/26.13 | | | | | | | | | | | | | | | | | | (4393) ( ~ (all_60_2 = e1) & op(e1, e1) = all_60_2 &
% 172.25/26.13 | | | | | | | | | | | | | | | | | | $i(all_60_2)) | ( ~ (all_60_3 = e1) & op(e0, e0)
% 172.25/26.13 | | | | | | | | | | | | | | | | | | = all_60_3 & $i(all_60_3))
% 172.25/26.13 | | | | | | | | | | | | | | | | | |
% 172.25/26.13 | | | | | | | | | | | | | | | | | | BETA: splitting (4393) gives:
% 172.25/26.13 | | | | | | | | | | | | | | | | | |
% 172.25/26.13 | | | | | | | | | | | | | | | | | | Case 1:
% 172.25/26.13 | | | | | | | | | | | | | | | | | | |
% 172.25/26.13 | | | | | | | | | | | | | | | | | | | (4394) ~ (all_60_2 = e1) & op(e1, e1) = all_60_2 &
% 172.25/26.13 | | | | | | | | | | | | | | | | | | | $i(all_60_2)
% 172.25/26.13 | | | | | | | | | | | | | | | | | | |
% 172.25/26.13 | | | | | | | | | | | | | | | | | | | ALPHA: (4394) implies:
% 172.25/26.13 | | | | | | | | | | | | | | | | | | | (4395) ~ (all_60_2 = e1)
% 172.25/26.13 | | | | | | | | | | | | | | | | | | | (4396) op(e1, e1) = all_60_2
% 172.25/26.13 | | | | | | | | | | | | | | | | | | |
% 172.25/26.13 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (50), (876), (4379), (4384), (4395), (4396) are
% 172.25/26.13 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #332.
% 172.25/26.13 | | | | | | | | | | | | | | | | | | |
% 172.25/26.13 | | | | | | | | | | | | | | | | | | Case 2:
% 172.25/26.13 | | | | | | | | | | | | | | | | | | |
% 172.25/26.13 | | | | | | | | | | | | | | | | | | | (4397) ~ (all_60_3 = e1) & op(e0, e0) = all_60_3 &
% 172.25/26.13 | | | | | | | | | | | | | | | | | | | $i(all_60_3)
% 172.25/26.13 | | | | | | | | | | | | | | | | | | |
% 172.25/26.13 | | | | | | | | | | | | | | | | | | | ALPHA: (4397) implies:
% 172.25/26.13 | | | | | | | | | | | | | | | | | | | (4398) ~ (all_60_3 = e1)
% 172.25/26.13 | | | | | | | | | | | | | | | | | | | (4399) op(e0, e0) = all_60_3
% 172.25/26.13 | | | | | | | | | | | | | | | | | | |
% 172.25/26.13 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_20_2, all_60_3, e0,
% 172.25/26.13 | | | | | | | | | | | | | | | | | | | e0, simplifying with (76), (4399) gives:
% 172.25/26.13 | | | | | | | | | | | | | | | | | | | (4400) all_60_3 = all_20_2
% 172.25/26.13 | | | | | | | | | | | | | | | | | | |
% 172.25/26.13 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_11, all_65_49, e1,
% 172.25/26.13 | | | | | | | | | | | | | | | | | | | e0, simplifying with (224), (4385) gives:
% 172.25/26.13 | | | | | | | | | | | | | | | | | | | (4401) all_65_49 = all_61_11
% 172.25/26.13 | | | | | | | | | | | | | | | | | | |
% 172.25/26.13 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_14, all_65_3, e0,
% 172.25/26.13 | | | | | | | | | | | | | | | | | | | e1, simplifying with (227), (4380) gives:
% 172.25/26.13 | | | | | | | | | | | | | | | | | | | (4402) all_65_3 = all_61_14
% 172.25/26.13 | | | | | | | | | | | | | | | | | | |
% 172.25/26.13 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e1, all_65_2, e1, e1,
% 172.25/26.13 | | | | | | | | | | | | | | | | | | | simplifying with (876), (4379) gives:
% 172.25/26.13 | | | | | | | | | | | | | | | | | | | (4403) all_65_2 = e1
% 172.25/26.13 | | | | | | | | | | | | | | | | | | |
% 172.25/26.13 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_32, all_65_2, e1,
% 172.25/26.13 | | | | | | | | | | | | | | | | | | | e1, simplifying with (4379), (4384) gives:
% 172.25/26.13 | | | | | | | | | | | | | | | | | | | (4404) all_65_2 = all_65_32
% 172.25/26.13 | | | | | | | | | | | | | | | | | | |
% 172.25/26.13 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_2, all_65_0, e3,
% 172.25/26.13 | | | | | | | | | | | | | | | | | | | e1, simplifying with (230), (4378) gives:
% 172.25/26.13 | | | | | | | | | | | | | | | | | | | (4405) all_65_0 = all_61_2
% 172.25/26.13 | | | | | | | | | | | | | | | | | | |
% 172.25/26.13 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_12_1, all_65_16, e1,
% 172.25/26.13 | | | | | | | | | | | | | | | | | | | e2, simplifying with (4296), (4383) gives:
% 172.25/26.13 | | | | | | | | | | | | | | | | | | | (4406) all_65_16 = all_12_1
% 172.25/26.13 | | | | | | | | | | | | | | | | | | |
% 172.25/26.13 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_8, all_48_1, e1,
% 172.25/26.13 | | | | | | | | | | | | | | | | | | | e3, simplifying with (236), (4389) gives:
% 172.25/26.13 | | | | | | | | | | | | | | | | | | | (4407) all_61_8 = all_48_1
% 172.25/26.13 | | | | | | | | | | | | | | | | | | |
% 172.25/26.13 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_8, all_65_0, e1,
% 172.25/26.13 | | | | | | | | | | | | | | | | | | | e3, simplifying with (236), (4381) gives:
% 172.25/26.13 | | | | | | | | | | | | | | | | | | | (4408) all_65_0 = all_61_8
% 172.25/26.13 | | | | | | | | | | | | | | | | | | |
% 172.25/26.13 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_40_1, all_65_0, e1,
% 172.25/26.13 | | | | | | | | | | | | | | | | | | | e3, simplifying with (4374), (4381) gives:
% 172.25/26.13 | | | | | | | | | | | | | | | | | | | (4409) all_65_0 = all_40_1
% 172.25/26.13 | | | | | | | | | | | | | | | | | | |
% 172.25/26.13 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4405), (4409) imply:
% 172.25/26.13 | | | | | | | | | | | | | | | | | | | (4410) all_61_2 = all_40_1
% 172.25/26.13 | | | | | | | | | | | | | | | | | | |
% 172.25/26.13 | | | | | | | | | | | | | | | | | | | SIMP: (4410) implies:
% 172.25/26.13 | | | | | | | | | | | | | | | | | | | (4411) all_61_2 = all_40_1
% 172.25/26.13 | | | | | | | | | | | | | | | | | | |
% 172.25/26.13 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4408), (4409) imply:
% 172.25/26.13 | | | | | | | | | | | | | | | | | | | (4412) all_61_8 = all_40_1
% 172.25/26.13 | | | | | | | | | | | | | | | | | | |
% 172.25/26.13 | | | | | | | | | | | | | | | | | | | SIMP: (4412) implies:
% 172.25/26.13 | | | | | | | | | | | | | | | | | | | (4413) all_61_8 = all_40_1
% 172.25/26.13 | | | | | | | | | | | | | | | | | | |
% 172.25/26.13 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4403), (4404) imply:
% 172.25/26.13 | | | | | | | | | | | | | | | | | | | (4414) all_65_32 = e1
% 172.25/26.13 | | | | | | | | | | | | | | | | | | |
% 172.25/26.13 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4407), (4413) imply:
% 172.25/26.13 | | | | | | | | | | | | | | | | | | | (4415) all_48_1 = all_40_1
% 172.25/26.13 | | | | | | | | | | | | | | | | | | |
% 172.25/26.13 | | | | | | | | | | | | | | | | | | | SIMP: (4415) implies:
% 172.25/26.13 | | | | | | | | | | | | | | | | | | | (4416) all_48_1 = all_40_1
% 172.25/26.13 | | | | | | | | | | | | | | | | | | |
% 172.25/26.13 | | | | | | | | | | | | | | | | | | | REDUCE: (4398), (4400) imply:
% 172.25/26.13 | | | | | | | | | | | | | | | | | | | (4417) ~ (all_20_2 = e1)
% 172.25/26.13 | | | | | | | | | | | | | | | | | | |
% 172.25/26.13 | | | | | | | | | | | | | | | | | | | REDUCE: (666), (4411), (4414) imply:
% 172.25/26.13 | | | | | | | | | | | | | | | | | | | (4418) op(all_40_1, e3) = e1
% 172.25/26.13 | | | | | | | | | | | | | | | | | | |
% 172.25/26.13 | | | | | | | | | | | | | | | | | | | REDUCE: (642), (4413) imply:
% 172.25/26.13 | | | | | | | | | | | | | | | | | | | (4419) op(all_40_1, e3) = all_65_8
% 172.25/26.13 | | | | | | | | | | | | | | | | | | |
% 172.25/26.13 | | | | | | | | | | | | | | | | | | | BETA: splitting (256) gives:
% 172.25/26.13 | | | | | | | | | | | | | | | | | | |
% 172.25/26.13 | | | | | | | | | | | | | | | | | | | Case 1:
% 172.25/26.13 | | | | | | | | | | | | | | | | | | | |
% 172.25/26.13 | | | | | | | | | | | | | | | | | | | | (4420) all_63_15 = e3
% 172.25/26.13 | | | | | | | | | | | | | | | | | | | |
% 172.25/26.13 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (422), (4367), (4420) are inconsistent by
% 172.25/26.13 | | | | | | | | | | | | | | | | | | | | sub-proof #501.
% 172.25/26.13 | | | | | | | | | | | | | | | | | | | |
% 172.25/26.13 | | | | | | | | | | | | | | | | | | | Case 2:
% 172.25/26.13 | | | | | | | | | | | | | | | | | | | |
% 172.25/26.13 | | | | | | | | | | | | | | | | | | | | (4421) all_63_15 = e2 | all_63_15 = e1 | all_63_15 = e0
% 172.25/26.13 | | | | | | | | | | | | | | | | | | | |
% 172.25/26.13 | | | | | | | | | | | | | | | | | | | | BETA: splitting (4421) gives:
% 172.25/26.13 | | | | | | | | | | | | | | | | | | | |
% 172.25/26.13 | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.25/26.13 | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.13 | | | | | | | | | | | | | | | | | | | | | (4422) all_63_15 = e2
% 172.25/26.13 | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.13 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (422), (4365), (4422) are inconsistent by
% 172.25/26.13 | | | | | | | | | | | | | | | | | | | | | sub-proof #500.
% 172.25/26.13 | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.13 | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.25/26.13 | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.13 | | | | | | | | | | | | | | | | | | | | | (4423) all_63_15 = e1 | all_63_15 = e0
% 172.25/26.13 | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.13 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4423) gives:
% 172.25/26.13 | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.13 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.25/26.13 | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.13 | | | | | | | | | | | | | | | | | | | | | | (4424) all_63_15 = e1
% 172.25/26.13 | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.13 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (422), (4417), (4424) are inconsistent by
% 172.25/26.13 | | | | | | | | | | | | | | | | | | | | | | sub-proof #499.
% 172.25/26.13 | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.13 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.25/26.13 | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.13 | | | | | | | | | | | | | | | | | | | | | | (4425) all_63_15 = e0
% 172.25/26.13 | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.13 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (422), (4425) imply:
% 172.25/26.13 | | | | | | | | | | | | | | | | | | | | | | (4426) all_20_2 = e0
% 172.25/26.13 | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.13 | | | | | | | | | | | | | | | | | | | | | | SIMP: (4426) implies:
% 172.25/26.13 | | | | | | | | | | | | | | | | | | | | | | (4427) all_20_2 = e0
% 172.25/26.13 | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.13 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (606), (4427) imply:
% 172.25/26.13 | | | | | | | | | | | | | | | | | | | | | | (4428) ~ (all_61_3 = e0)
% 172.25/26.13 | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.13 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (617), (4427) imply:
% 172.25/26.13 | | | | | | | | | | | | | | | | | | | | | | (4429) ~ (all_61_7 = e0)
% 172.25/26.13 | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.13 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (627), (4427) imply:
% 172.25/26.13 | | | | | | | | | | | | | | | | | | | | | | (4430) ~ (all_61_14 = e0)
% 172.25/26.13 | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.13 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (696), (4427) imply:
% 172.25/26.13 | | | | | | | | | | | | | | | | | | | | | | (4431) op(e0, e1) = all_65_77
% 172.25/26.13 | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.13 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (747), (4427) imply:
% 172.25/26.13 | | | | | | | | | | | | | | | | | | | | | | (4432) op(e1, e0) = all_65_47
% 172.25/26.13 | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.13 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_11, all_65_77, e1,
% 172.25/26.13 | | | | | | | | | | | | | | | | | | | | | | e0, simplifying with (224), (4431) gives:
% 172.25/26.13 | | | | | | | | | | | | | | | | | | | | | | (4433) all_65_77 = all_61_11
% 172.25/26.13 | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.13 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_14, all_65_47, e0,
% 172.25/26.13 | | | | | | | | | | | | | | | | | | | | | | e1, simplifying with (227), (4432) gives:
% 172.25/26.13 | | | | | | | | | | | | | | | | | | | | | | (4434) all_65_47 = all_61_14
% 172.25/26.13 | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.13 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e1, all_65_8, e3,
% 172.25/26.13 | | | | | | | | | | | | | | | | | | | | | | all_40_1, simplifying with (4418), (4419) gives:
% 172.25/26.13 | | | | | | | | | | | | | | | | | | | | | | (4435) all_65_8 = e1
% 172.25/26.13 | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.13 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (164) gives:
% 172.25/26.13 | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.13 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.25/26.13 | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.13 | | | | | | | | | | | | | | | | | | | | | | | (4436) ~ (all_58_1 = e1)
% 172.25/26.13 | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.13 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (481), (4436) imply:
% 172.25/26.13 | | | | | | | | | | | | | | | | | | | | | | | (4437) ~ (all_52_1 = e1)
% 172.25/26.13 | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.13 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (161) gives:
% 172.25/26.13 | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.13 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.25/26.13 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.13 | | | | | | | | | | | | | | | | | | | | | | | | (4438) ~ (all_58_2 = e2)
% 172.25/26.13 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.13 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (478), (4438) imply:
% 172.25/26.13 | | | | | | | | | | | | | | | | | | | | | | | | (4439) ~ (all_52_2 = e2)
% 172.25/26.13 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.13 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (167) gives:
% 172.25/26.13 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.13 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.25/26.13 | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | (4440) ~ (all_58_0 = e1)
% 172.25/26.13 | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (484), (4440) imply:
% 172.25/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | (4441) ~ (all_52_0 = e1)
% 172.25/26.13 | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (162) gives:
% 172.25/26.13 | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.25/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | (4442) ~ (all_58_2 = e3)
% 172.25/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (478), (4442) imply:
% 172.25/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | (4443) ~ (all_52_2 = e3)
% 172.25/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (160) gives:
% 172.25/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.25/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4444) ~ (all_58_2 = e0)
% 172.25/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (478), (4444) imply:
% 172.25/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4445) ~ (all_52_2 = e0)
% 172.25/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (50), (149), (227), (538), (748), (876),
% 172.25/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4430), (4439), (4443), (4445) are inconsistent by
% 172.25/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #497.
% 172.25/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.25/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4446) all_58_3 = e1
% 172.25/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4447) all_58_2 = e0
% 172.25/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (478), (4447) imply:
% 172.25/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4448) all_52_2 = e0
% 172.25/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (475), (4446) imply:
% 172.25/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4449) all_52_3 = e1
% 172.25/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4449) implies:
% 172.25/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4450) all_52_3 = e1
% 172.25/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (748), (4448) imply:
% 172.25/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4451) op(e1, e0) = unit
% 172.25/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (765), (4450) imply:
% 172.25/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4452) op(e0, e1) = unit
% 172.25/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_11, unit, e1, e0,
% 172.25/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (224), (4452) gives:
% 172.25/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4453) all_61_11 = unit
% 172.25/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_14, unit, e0, e1,
% 172.25/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (227), (4451) gives:
% 172.25/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4454) all_61_14 = unit
% 172.25/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (505), (4454) imply:
% 172.25/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4455) all_63_11 = unit
% 172.25/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (206), (4453) imply:
% 172.25/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4456) ~ (all_61_3 = unit)
% 172.25/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (192), (4453) imply:
% 172.25/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4457) ~ (all_61_7 = unit)
% 172.25/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (260) gives:
% 172.25/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.25/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4458) all_63_11 = e3
% 172.25/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4455), (4458) imply:
% 172.25/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4459) unit = e3
% 172.25/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (851), (4459) imply:
% 172.25/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4460) $false
% 172.25/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4460) is inconsistent.
% 172.25/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.25/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4461) all_63_11 = e2 | all_63_11 = e1 | all_63_11 = e0
% 172.25/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4461) gives:
% 172.25/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.25/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4462) all_63_11 = e2
% 172.25/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4455), (4462) imply:
% 172.25/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4463) unit = e2
% 172.25/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4456), (4463) imply:
% 172.25/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4464) ~ (all_61_3 = e2)
% 172.25/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4457), (4463) imply:
% 172.25/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4465) ~ (all_61_7 = e2)
% 172.25/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (207), (258), (259), (506), (508), (4301), (4377),
% 172.25/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4428), (4429), (4464), (4465) are inconsistent by
% 172.25/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #329.
% 172.25/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.25/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4466) all_63_11 = e1 | all_63_11 = e0
% 172.25/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (505), (868), (4430), (4466) are inconsistent by
% 172.25/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #522.
% 172.25/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.25/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.25/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.25/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.25/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | (4467) all_58_0 = e1
% 172.25/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (484), (4441), (4467) are inconsistent by
% 172.25/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #470.
% 172.25/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.25/26.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.14 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.25/26.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | (4468) all_58_2 = e3
% 172.25/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | (4469) all_58_0 = e1
% 172.25/26.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (484), (4469) imply:
% 172.25/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | (4470) all_52_0 = e1
% 172.25/26.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4470) implies:
% 172.25/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | (4471) all_52_0 = e1
% 172.25/26.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (478), (4468) imply:
% 172.25/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | (4472) all_52_2 = e3
% 172.25/26.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4472) implies:
% 172.25/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | (4473) all_52_2 = e3
% 172.25/26.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (629), (4471), (4473) imply:
% 172.25/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | (4474) ~ (e3 = e1)
% 172.25/26.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (714), (4471) imply:
% 172.25/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | (4475) op(e3, e1) = unit
% 172.25/26.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (22), (50), (4374), (4418), (4475) are
% 172.25/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #484.
% 172.25/26.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.14 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.25/26.14 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.14 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.25/26.14 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.14 | | | | | | | | | | | | | | | | | | | | | | | | (4476) all_58_1 = e1
% 172.25/26.14 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.14 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (481), (4437), (4476) are inconsistent by
% 172.25/26.14 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #424.
% 172.25/26.14 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.14 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.25/26.14 | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.14 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.25/26.14 | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.14 | | | | | | | | | | | | | | | | | | | | | | | (4477) all_58_2 = e2
% 172.25/26.14 | | | | | | | | | | | | | | | | | | | | | | | (4478) all_58_1 = e1
% 172.25/26.14 | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.14 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (481), (4478) imply:
% 172.25/26.14 | | | | | | | | | | | | | | | | | | | | | | | (4479) all_52_1 = e1
% 172.25/26.14 | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.14 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (478), (4477) imply:
% 172.25/26.14 | | | | | | | | | | | | | | | | | | | | | | | (4480) all_52_2 = e2
% 172.25/26.14 | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.14 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4480) implies:
% 172.25/26.14 | | | | | | | | | | | | | | | | | | | | | | | (4481) all_52_2 = e2
% 172.25/26.14 | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.14 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (731), (4479) imply:
% 172.25/26.14 | | | | | | | | | | | | | | | | | | | | | | | (4482) op(e2, e1) = unit
% 172.25/26.14 | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.14 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (20), (50), (4296), (4350), (4482) are
% 172.25/26.14 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #328.
% 172.25/26.14 | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.14 | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.25/26.14 | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.14 | | | | | | | | | | | | | | | | | | | | | End of split
% 172.25/26.14 | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.14 | | | | | | | | | | | | | | | | | | | | End of split
% 172.25/26.14 | | | | | | | | | | | | | | | | | | | |
% 172.25/26.14 | | | | | | | | | | | | | | | | | | | End of split
% 172.25/26.14 | | | | | | | | | | | | | | | | | | |
% 172.25/26.14 | | | | | | | | | | | | | | | | | | End of split
% 172.25/26.14 | | | | | | | | | | | | | | | | | |
% 172.25/26.14 | | | | | | | | | | | | | | | | | End of split
% 172.25/26.14 | | | | | | | | | | | | | | | | |
% 172.25/26.14 | | | | | | | | | | | | | | | | End of split
% 172.25/26.14 | | | | | | | | | | | | | | | |
% 172.25/26.14 | | | | | | | | | | | | | | | End of split
% 172.25/26.14 | | | | | | | | | | | | | | |
% 172.25/26.14 | | | | | | | | | | | | | | Case 2:
% 172.25/26.14 | | | | | | | | | | | | | | |
% 172.25/26.14 | | | | | | | | | | | | | | | (4483) all_36_2 = e0
% 172.25/26.14 | | | | | | | | | | | | | | | (4484) op(e3, e0) = all_36_1 & $i(all_36_1) & ( ~
% 172.25/26.14 | | | | | | | | | | | | | | | (all_36_1 = e2) | ( ~ (all_36_0 = e1) & op(e2,
% 172.25/26.14 | | | | | | | | | | | | | | | e3) = all_36_0 & $i(all_36_0)))
% 172.25/26.14 | | | | | | | | | | | | | | |
% 172.25/26.14 | | | | | | | | | | | | | | | ALPHA: (4484) implies:
% 172.25/26.14 | | | | | | | | | | | | | | | (4485) op(e3, e0) = all_36_1
% 172.25/26.14 | | | | | | | | | | | | | | |
% 172.25/26.14 | | | | | | | | | | | | | | | COMBINE_EQS: (557), (4483) imply:
% 172.25/26.14 | | | | | | | | | | | | | | | (4486) all_14_2 = e0
% 172.25/26.14 | | | | | | | | | | | | | | |
% 172.25/26.14 | | | | | | | | | | | | | | | SIMP: (4486) implies:
% 172.25/26.14 | | | | | | | | | | | | | | | (4487) all_14_2 = e0
% 172.25/26.14 | | | | | | | | | | | | | | |
% 172.25/26.14 | | | | | | | | | | | | | | | COMBINE_EQS: (549), (4487) imply:
% 172.25/26.14 | | | | | | | | | | | | | | | (4488) all_44_2 = e0
% 172.25/26.14 | | | | | | | | | | | | | | |
% 172.25/26.14 | | | | | | | | | | | | | | | REDUCE: (599), (4487) imply:
% 172.25/26.14 | | | | | | | | | | | | | | | (4489) ~ (all_61_4 = e0)
% 172.25/26.14 | | | | | | | | | | | | | | |
% 172.25/26.14 | | | | | | | | | | | | | | | REDUCE: (601), (4487) imply:
% 172.25/26.14 | | | | | | | | | | | | | | | (4490) ~ (all_61_8 = e0)
% 172.25/26.14 | | | | | | | | | | | | | | |
% 172.25/26.14 | | | | | | | | | | | | | | | REDUCE: (634), (4487) imply:
% 172.25/26.14 | | | | | | | | | | | | | | | (4491) op(e0, e3) = all_65_0
% 172.25/26.14 | | | | | | | | | | | | | | |
% 172.25/26.14 | | | | | | | | | | | | | | | REDUCE: (635), (4487) imply:
% 172.25/26.14 | | | | | | | | | | | | | | | (4492) op(e0, e2) = all_65_1
% 172.25/26.14 | | | | | | | | | | | | | | |
% 172.25/26.14 | | | | | | | | | | | | | | | REDUCE: (636), (4487) imply:
% 172.25/26.14 | | | | | | | | | | | | | | | (4493) op(e0, e1) = all_65_2
% 172.25/26.14 | | | | | | | | | | | | | | |
% 172.25/26.14 | | | | | | | | | | | | | | | REDUCE: (637), (4487) imply:
% 172.25/26.14 | | | | | | | | | | | | | | | (4494) op(e0, e0) = all_65_3
% 172.25/26.14 | | | | | | | | | | | | | | |
% 172.25/26.14 | | | | | | | | | | | | | | | REDUCE: (698), (4487) imply:
% 172.25/26.14 | | | | | | | | | | | | | | | (4495) op(e3, e0) = all_65_0
% 172.25/26.14 | | | | | | | | | | | | | | |
% 172.25/26.14 | | | | | | | | | | | | | | | REDUCE: (67), (4487) imply:
% 172.25/26.14 | | | | | | | | | | | | | | | (4496) op(e3, e3) = e0
% 172.25/26.14 | | | | | | | | | | | | | | |
% 172.25/26.14 | | | | | | | | | | | | | | | REDUCE: (715), (4487) imply:
% 172.25/26.14 | | | | | | | | | | | | | | | (4497) op(e2, e0) = all_65_16
% 172.25/26.14 | | | | | | | | | | | | | | |
% 172.25/26.14 | | | | | | | | | | | | | | | REDUCE: (732), (4487) imply:
% 172.25/26.14 | | | | | | | | | | | | | | | (4498) op(e1, e0) = all_65_32
% 172.25/26.14 | | | | | | | | | | | | | | |
% 172.25/26.14 | | | | | | | | | | | | | | | REDUCE: (749), (4487) imply:
% 172.25/26.14 | | | | | | | | | | | | | | | (4499) op(e0, e0) = all_65_49
% 172.25/26.14 | | | | | | | | | | | | | | |
% 172.25/26.14 | | | | | | | | | | | | | | | BETA: splitting (113) gives:
% 172.25/26.14 | | | | | | | | | | | | | | |
% 172.25/26.14 | | | | | | | | | | | | | | | Case 1:
% 172.25/26.14 | | | | | | | | | | | | | | | |
% 172.25/26.14 | | | | | | | | | | | | | | | | (4500) ~ (all_44_2 = e0)
% 172.25/26.14 | | | | | | | | | | | | | | | |
% 172.25/26.14 | | | | | | | | | | | | | | | | REDUCE: (4488), (4500) imply:
% 172.25/26.14 | | | | | | | | | | | | | | | | (4501) $false
% 172.25/26.14 | | | | | | | | | | | | | | | |
% 172.25/26.14 | | | | | | | | | | | | | | | | CLOSE: (4501) is inconsistent.
% 172.25/26.14 | | | | | | | | | | | | | | | |
% 172.25/26.14 | | | | | | | | | | | | | | | Case 2:
% 172.25/26.14 | | | | | | | | | | | | | | | |
% 172.25/26.14 | | | | | | | | | | | | | | | | (4502) op(e3, e0) = all_44_1 & $i(all_44_1) & ( ~
% 172.25/26.14 | | | | | | | | | | | | | | | | (all_44_1 = e1) | ( ~ (all_44_0 = e2) & op(e1,
% 172.25/26.14 | | | | | | | | | | | | | | | | e3) = all_44_0 & $i(all_44_0)))
% 172.25/26.14 | | | | | | | | | | | | | | | |
% 172.25/26.14 | | | | | | | | | | | | | | | | ALPHA: (4502) implies:
% 172.25/26.14 | | | | | | | | | | | | | | | | (4503) op(e3, e0) = all_44_1
% 172.25/26.14 | | | | | | | | | | | | | | | |
% 172.25/26.14 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_20_2, all_65_3, e0,
% 172.25/26.14 | | | | | | | | | | | | | | | | e0, simplifying with (76), (4494) gives:
% 172.25/26.14 | | | | | | | | | | | | | | | | (4504) all_65_3 = all_20_2
% 172.25/26.14 | | | | | | | | | | | | | | | |
% 172.25/26.14 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_49, all_65_3, e0,
% 172.25/26.14 | | | | | | | | | | | | | | | | e0, simplifying with (4494), (4499) gives:
% 172.25/26.14 | | | | | | | | | | | | | | | | (4505) all_65_3 = all_65_49
% 172.25/26.14 | | | | | | | | | | | | | | | |
% 172.25/26.14 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_11, all_65_2, e1,
% 172.25/26.14 | | | | | | | | | | | | | | | | e0, simplifying with (224), (4493) gives:
% 172.25/26.14 | | | | | | | | | | | | | | | | (4506) all_65_2 = all_61_11
% 172.25/26.14 | | | | | | | | | | | | | | | |
% 172.25/26.14 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_7, all_65_1, e2,
% 172.25/26.14 | | | | | | | | | | | | | | | | e0, simplifying with (225), (4492) gives:
% 172.25/26.14 | | | | | | | | | | | | | | | | (4507) all_65_1 = all_61_7
% 172.25/26.14 | | | | | | | | | | | | | | | |
% 172.25/26.14 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_3, all_65_0, e3,
% 172.25/26.14 | | | | | | | | | | | | | | | | e0, simplifying with (226), (4491) gives:
% 172.25/26.14 | | | | | | | | | | | | | | | | (4508) all_65_0 = all_61_3
% 172.25/26.14 | | | | | | | | | | | | | | | |
% 172.25/26.14 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_14, all_65_32, e0,
% 172.25/26.14 | | | | | | | | | | | | | | | | e1, simplifying with (227), (4498) gives:
% 172.25/26.14 | | | | | | | | | | | | | | | | (4509) all_65_32 = all_61_14
% 172.25/26.14 | | | | | | | | | | | | | | | |
% 172.25/26.14 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_13, all_65_16, e0,
% 172.25/26.14 | | | | | | | | | | | | | | | | e2, simplifying with (231), (4497) gives:
% 172.25/26.14 | | | | | | | | | | | | | | | | (4510) all_65_16 = all_61_13
% 172.25/26.14 | | | | | | | | | | | | | | | |
% 172.25/26.14 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_12, all_44_1, e0,
% 172.25/26.14 | | | | | | | | | | | | | | | | e3, simplifying with (235), (4503) gives:
% 172.25/26.14 | | | | | | | | | | | | | | | | (4511) all_61_12 = all_44_1
% 172.25/26.14 | | | | | | | | | | | | | | | |
% 172.25/26.14 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_12, all_65_0, e0,
% 172.25/26.14 | | | | | | | | | | | | | | | | e3, simplifying with (235), (4495) gives:
% 172.25/26.14 | | | | | | | | | | | | | | | | (4512) all_65_0 = all_61_12
% 172.25/26.14 | | | | | | | | | | | | | | | |
% 172.25/26.14 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_36_1, all_65_0, e0,
% 172.25/26.14 | | | | | | | | | | | | | | | | e3, simplifying with (4485), (4495) gives:
% 172.25/26.14 | | | | | | | | | | | | | | | | (4513) all_65_0 = all_36_1
% 172.25/26.14 | | | | | | | | | | | | | | | |
% 172.25/26.14 | | | | | | | | | | | | | | | | COMBINE_EQS: (4512), (4513) imply:
% 172.25/26.14 | | | | | | | | | | | | | | | | (4514) all_61_12 = all_36_1
% 172.25/26.14 | | | | | | | | | | | | | | | |
% 172.25/26.14 | | | | | | | | | | | | | | | | SIMP: (4514) implies:
% 172.25/26.14 | | | | | | | | | | | | | | | | (4515) all_61_12 = all_36_1
% 172.25/26.14 | | | | | | | | | | | | | | | |
% 172.25/26.14 | | | | | | | | | | | | | | | | COMBINE_EQS: (4508), (4513) imply:
% 172.25/26.14 | | | | | | | | | | | | | | | | (4516) all_61_3 = all_36_1
% 172.25/26.14 | | | | | | | | | | | | | | | |
% 172.25/26.14 | | | | | | | | | | | | | | | | SIMP: (4516) implies:
% 172.25/26.14 | | | | | | | | | | | | | | | | (4517) all_61_3 = all_36_1
% 172.25/26.14 | | | | | | | | | | | | | | | |
% 172.25/26.14 | | | | | | | | | | | | | | | | COMBINE_EQS: (4504), (4505) imply:
% 172.25/26.14 | | | | | | | | | | | | | | | | (4518) all_65_49 = all_20_2
% 172.25/26.14 | | | | | | | | | | | | | | | |
% 172.25/26.14 | | | | | | | | | | | | | | | | COMBINE_EQS: (4511), (4515) imply:
% 172.25/26.14 | | | | | | | | | | | | | | | | (4519) all_44_1 = all_36_1
% 172.25/26.14 | | | | | | | | | | | | | | | |
% 172.25/26.14 | | | | | | | | | | | | | | | | COMBINE_EQS: (491), (4515) imply:
% 172.25/26.14 | | | | | | | | | | | | | | | | (4520) all_63_3 = all_36_1
% 172.25/26.14 | | | | | | | | | | | | | | | |
% 172.25/26.14 | | | | | | | | | | | | | | | | REDUCE: (215), (4517) imply:
% 172.25/26.14 | | | | | | | | | | | | | | | | (4521) ~ (all_61_1 = all_36_1)
% 172.25/26.14 | | | | | | | | | | | | | | | |
% 172.25/26.14 | | | | | | | | | | | | | | | | REDUCE: (180), (4515) imply:
% 172.25/26.14 | | | | | | | | | | | | | | | | (4522) ~ (all_61_13 = all_36_1)
% 172.25/26.14 | | | | | | | | | | | | | | | |
% 172.25/26.14 | | | | | | | | | | | | | | | | SIMP: (4522) implies:
% 172.25/26.14 | | | | | | | | | | | | | | | | (4523) ~ (all_61_13 = all_36_1)
% 172.25/26.14 | | | | | | | | | | | | | | | |
% 172.25/26.14 | | | | | | | | | | | | | | | | REDUCE: (625), (4515) imply:
% 172.25/26.14 | | | | | | | | | | | | | | | | (4524) ~ (all_36_1 = all_20_2)
% 172.25/26.14 | | | | | | | | | | | | | | | |
% 172.25/26.14 | | | | | | | | | | | | | | | | REDUCE: (683), (4517) imply:
% 172.25/26.14 | | | | | | | | | | | | | | | | (4525) op(all_36_1, e2) = all_65_51
% 172.25/26.14 | | | | | | | | | | | | | | | |
% 172.25/26.14 | | | | | | | | | | | | | | | | REDUCE: (684), (4517) imply:
% 172.25/26.14 | | | | | | | | | | | | | | | | (4526) op(all_36_1, e1) = all_65_53
% 172.25/26.14 | | | | | | | | | | | | | | | |
% 172.25/26.14 | | | | | | | | | | | | | | | | REDUCE: (685), (4517) imply:
% 172.25/26.14 | | | | | | | | | | | | | | | | (4527) op(all_36_1, e0) = all_65_55
% 172.25/26.14 | | | | | | | | | | | | | | | |
% 172.25/26.14 | | | | | | | | | | | | | | | | REDUCE: (647), (4515) imply:
% 172.25/26.14 | | | | | | | | | | | | | | | | (4528) op(all_36_1, e2) = all_65_13
% 172.25/26.14 | | | | | | | | | | | | | | | |
% 172.25/26.14 | | | | | | | | | | | | | | | | REDUCE: (648), (4515) imply:
% 172.25/26.14 | | | | | | | | | | | | | | | | (4529) op(all_36_1, e1) = all_65_14
% 172.25/26.14 | | | | | | | | | | | | | | | |
% 172.25/26.14 | | | | | | | | | | | | | | | | REDUCE: (649), (4515) imply:
% 172.25/26.14 | | | | | | | | | | | | | | | | (4530) op(all_36_1, e0) = all_65_15
% 172.25/26.14 | | | | | | | | | | | | | | | |
% 172.25/26.14 | | | | | | | | | | | | | | | | REDUCE: (727), (4517) imply:
% 172.25/26.14 | | | | | | | | | | | | | | | | (4531) op(e2, all_36_1) = all_65_28
% 172.25/26.14 | | | | | | | | | | | | | | | |
% 172.25/26.14 | | | | | | | | | | | | | | | | REDUCE: (718), (4515) imply:
% 172.25/26.14 | | | | | | | | | | | | | | | | (4532) op(e2, all_36_1) = all_65_19
% 172.25/26.14 | | | | | | | | | | | | | | | |
% 172.25/26.14 | | | | | | | | | | | | | | | | REDUCE: (761), (4517) imply:
% 172.25/26.14 | | | | | | | | | | | | | | | | (4533) op(e0, all_36_1) = all_65_73
% 172.25/26.14 | | | | | | | | | | | | | | | |
% 172.25/26.14 | | | | | | | | | | | | | | | | REDUCE: (752), (4515) imply:
% 172.25/26.14 | | | | | | | | | | | | | | | | (4534) op(e0, all_36_1) = all_65_55
% 172.25/26.14 | | | | | | | | | | | | | | | |
% 172.25/26.14 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_73, all_65_55,
% 172.25/26.14 | | | | | | | | | | | | | | | | all_36_1, e0, simplifying with (4533), (4534)
% 172.25/26.14 | | | | | | | | | | | | | | | | gives:
% 172.25/26.14 | | | | | | | | | | | | | | | | (4535) all_65_55 = all_65_73
% 172.25/26.14 | | | | | | | | | | | | | | | |
% 172.25/26.14 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_28, all_65_19,
% 172.25/26.14 | | | | | | | | | | | | | | | | all_36_1, e2, simplifying with (4531), (4532)
% 172.25/26.14 | | | | | | | | | | | | | | | | gives:
% 172.25/26.14 | | | | | | | | | | | | | | | | (4536) all_65_19 = all_65_28
% 172.25/26.14 | | | | | | | | | | | | | | | |
% 172.25/26.14 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_55, all_65_15, e0,
% 172.25/26.14 | | | | | | | | | | | | | | | | all_36_1, simplifying with (4527), (4530) gives:
% 172.25/26.14 | | | | | | | | | | | | | | | | (4537) all_65_15 = all_65_55
% 172.25/26.14 | | | | | | | | | | | | | | | |
% 172.25/26.14 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_53, all_65_14, e1,
% 172.25/26.14 | | | | | | | | | | | | | | | | all_36_1, simplifying with (4526), (4529) gives:
% 172.25/26.14 | | | | | | | | | | | | | | | | (4538) all_65_14 = all_65_53
% 172.25/26.14 | | | | | | | | | | | | | | | |
% 172.25/26.14 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_51, all_65_13, e2,
% 172.25/26.14 | | | | | | | | | | | | | | | | all_36_1, simplifying with (4525), (4528) gives:
% 172.25/26.14 | | | | | | | | | | | | | | | | (4539) all_65_13 = all_65_51
% 172.25/26.14 | | | | | | | | | | | | | | | |
% 172.25/26.14 | | | | | | | | | | | | | | | | COMBINE_EQS: (4535), (4537) imply:
% 172.25/26.14 | | | | | | | | | | | | | | | | (4540) all_65_15 = all_65_73
% 172.25/26.14 | | | | | | | | | | | | | | | |
% 172.25/26.14 | | | | | | | | | | | | | | | | REDUCE: (653), (4536) imply:
% 172.25/26.14 | | | | | | | | | | | | | | | | (4541) op(all_61_1, e0) = all_65_28
% 172.25/26.14 | | | | | | | | | | | | | | | |
% 172.25/26.14 | | | | | | | | | | | | | | | | REDUCE: (711), (4539) imply:
% 172.25/26.14 | | | | | | | | | | | | | | | | (4542) op(e3, all_61_7) = all_65_51
% 172.25/26.14 | | | | | | | | | | | | | | | |
% 172.25/26.14 | | | | | | | | | | | | | | | | REDUCE: (712), (4538) imply:
% 172.25/26.14 | | | | | | | | | | | | | | | | (4543) op(e3, all_61_11) = all_65_53
% 172.25/26.14 | | | | | | | | | | | | | | | |
% 172.25/26.14 | | | | | | | | | | | | | | | | REDUCE: (713), (4540) imply:
% 172.25/26.14 | | | | | | | | | | | | | | | | (4544) op(e3, all_20_2) = all_65_73
% 172.25/26.14 | | | | | | | | | | | | | | | |
% 172.25/26.14 | | | | | | | | | | | | | | | | BETA: splitting (110) gives:
% 172.25/26.14 | | | | | | | | | | | | | | | |
% 172.25/26.14 | | | | | | | | | | | | | | | | Case 1:
% 172.25/26.14 | | | | | | | | | | | | | | | | |
% 172.25/26.14 | | | | | | | | | | | | | | | | | (4545) ~ (all_42_2 = e1)
% 172.25/26.14 | | | | | | | | | | | | | | | | |
% 172.25/26.14 | | | | | | | | | | | | | | | | | REDUCE: (532), (4545) imply:
% 172.25/26.14 | | | | | | | | | | | | | | | | | (4546) ~ (all_20_2 = e1)
% 172.25/26.14 | | | | | | | | | | | | | | | | |
% 172.25/26.14 | | | | | | | | | | | | | | | | | BETA: splitting (256) gives:
% 172.25/26.14 | | | | | | | | | | | | | | | | |
% 172.25/26.14 | | | | | | | | | | | | | | | | | Case 1:
% 172.25/26.14 | | | | | | | | | | | | | | | | | |
% 172.25/26.14 | | | | | | | | | | | | | | | | | | (4547) all_63_15 = e3
% 172.25/26.14 | | | | | | | | | | | | | | | | | |
% 172.25/26.14 | | | | | | | | | | | | | | | | | | REF_CLOSE: (422), (4367), (4547) are inconsistent by
% 172.25/26.14 | | | | | | | | | | | | | | | | | | sub-proof #501.
% 172.25/26.14 | | | | | | | | | | | | | | | | | |
% 172.25/26.14 | | | | | | | | | | | | | | | | | Case 2:
% 172.25/26.14 | | | | | | | | | | | | | | | | | |
% 172.25/26.14 | | | | | | | | | | | | | | | | | | (4548) all_63_15 = e2 | all_63_15 = e1 | all_63_15 = e0
% 172.25/26.14 | | | | | | | | | | | | | | | | | |
% 172.25/26.14 | | | | | | | | | | | | | | | | | | BETA: splitting (4548) gives:
% 172.25/26.14 | | | | | | | | | | | | | | | | | |
% 172.25/26.14 | | | | | | | | | | | | | | | | | | Case 1:
% 172.25/26.14 | | | | | | | | | | | | | | | | | | |
% 172.25/26.14 | | | | | | | | | | | | | | | | | | | (4549) all_63_15 = e2
% 172.25/26.14 | | | | | | | | | | | | | | | | | | |
% 172.25/26.14 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (422), (4365), (4549) are inconsistent by
% 172.25/26.14 | | | | | | | | | | | | | | | | | | | sub-proof #500.
% 172.25/26.14 | | | | | | | | | | | | | | | | | | |
% 172.25/26.14 | | | | | | | | | | | | | | | | | | Case 2:
% 172.25/26.14 | | | | | | | | | | | | | | | | | | |
% 172.25/26.14 | | | | | | | | | | | | | | | | | | | (4550) all_63_15 = e1 | all_63_15 = e0
% 172.25/26.14 | | | | | | | | | | | | | | | | | | |
% 172.25/26.14 | | | | | | | | | | | | | | | | | | | BETA: splitting (4550) gives:
% 172.25/26.14 | | | | | | | | | | | | | | | | | | |
% 172.25/26.14 | | | | | | | | | | | | | | | | | | | Case 1:
% 172.25/26.14 | | | | | | | | | | | | | | | | | | | |
% 172.25/26.14 | | | | | | | | | | | | | | | | | | | | (4551) all_63_15 = e1
% 172.25/26.14 | | | | | | | | | | | | | | | | | | | |
% 172.25/26.14 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (422), (4546), (4551) are inconsistent by
% 172.25/26.14 | | | | | | | | | | | | | | | | | | | | sub-proof #499.
% 172.25/26.14 | | | | | | | | | | | | | | | | | | | |
% 172.25/26.14 | | | | | | | | | | | | | | | | | | | Case 2:
% 172.25/26.14 | | | | | | | | | | | | | | | | | | | |
% 172.25/26.14 | | | | | | | | | | | | | | | | | | | | (4552) all_63_15 = e0
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | |
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (422), (4552) imply:
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | (4553) all_20_2 = e0
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | |
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | SIMP: (4553) implies:
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | (4554) all_20_2 = e0
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | |
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | REDUCE: (617), (4554) imply:
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | (4555) ~ (all_61_7 = e0)
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | |
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | REDUCE: (627), (4554) imply:
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | (4556) ~ (all_61_14 = e0)
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | |
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | REDUCE: (4524), (4554) imply:
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | (4557) ~ (all_36_1 = e0)
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | |
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | REDUCE: (695), (4554) imply:
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | (4558) op(e0, e2) = all_65_75
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | |
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | REDUCE: (696), (4554) imply:
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | (4559) op(e0, e1) = all_65_77
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | |
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | REDUCE: (730), (4554) imply:
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | (4560) op(e2, e0) = all_65_31
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | |
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | REDUCE: (747), (4554) imply:
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | (4561) op(e1, e0) = all_65_47
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | |
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | REDUCE: (764), (4554) imply:
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | (4562) op(e0, e0) = all_65_78
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | |
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | REDUCE: (76), (4554) imply:
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | (4563) op(e0, e0) = e0
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | |
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e0, all_65_78, e0, e0,
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | simplifying with (4562), (4563) gives:
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | (4564) all_65_78 = e0
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | |
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_11, all_65_77, e1,
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | e0, simplifying with (224), (4559) gives:
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | (4565) all_65_77 = all_61_11
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | |
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_7, all_65_75, e2,
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | e0, simplifying with (225), (4558) gives:
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | (4566) all_65_75 = all_61_7
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | |
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_14, all_65_47, e0,
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | e1, simplifying with (227), (4561) gives:
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | (4567) all_65_47 = all_61_14
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | |
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_13, all_65_31, e0,
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | e2, simplifying with (231), (4560) gives:
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | (4568) all_65_31 = all_61_13
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | |
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | REDUCE: (681), (4567) imply:
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | (4569) op(all_61_14, e0) = all_61_14
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | |
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | BETA: splitting (160) gives:
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | |
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | (4570) ~ (all_58_2 = e0)
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | REDUCE: (478), (4570) imply:
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | (4571) ~ (all_52_2 = e0)
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (161) gives:
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | (4572) ~ (all_58_2 = e2)
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (478), (4572) imply:
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | (4573) ~ (all_52_2 = e2)
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (167) gives:
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | (4574) ~ (all_58_0 = e1)
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (484), (4574) imply:
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | (4575) ~ (all_52_0 = e1)
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (50), (149), (162), (227), (478), (484),
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | (538), (748), (876), (4556), (4571), (4573),
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | (4575) are inconsistent by sub-proof #469.
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | (4576) all_58_2 = e3
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | (4577) all_58_0 = e1
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (484), (4577) imply:
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | (4578) all_52_0 = e1
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4578) implies:
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | (4579) all_52_0 = e1
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (478), (4576) imply:
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | (4580) all_52_2 = e3
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (628), (4579) imply:
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | (4581) ~ (all_52_1 = e1)
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4581) implies:
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | (4582) ~ (all_52_1 = e1)
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (630), (4579) imply:
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | (4583) ~ (all_52_3 = e1)
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4583) implies:
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | (4584) ~ (all_52_3 = e1)
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (631), (4580) imply:
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | (4585) ~ (all_52_1 = e3)
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (633), (4580) imply:
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | (4586) ~ (all_52_3 = e3)
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4586) implies:
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | (4587) ~ (all_52_3 = e3)
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (714), (4579) imply:
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | (4588) op(e3, e1) = unit
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (748), (4580) imply:
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | (4589) op(e1, e3) = unit
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_2, unit, e3, e1,
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (230), (4589) gives:
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | (4590) all_61_2 = unit
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_8, unit, e1, e3,
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (236), (4588) gives:
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | (4591) all_61_8 = unit
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (489), (4591) imply:
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | (4592) all_63_2 = unit
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (208), (4590) imply:
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | (4593) ~ (all_61_14 = unit)
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4593) implies:
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | (4594) ~ (all_61_14 = unit)
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (269) gives:
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | | (4595) all_63_2 = e3
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4592), (4595) imply:
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | | (4596) unit = e3
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (851), (4596) imply:
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | | (4597) $false
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4597) is inconsistent.
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | | (4598) all_63_2 = e2 | all_63_2 = e1 | all_63_2 = e0
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4598) gives:
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | (4599) all_63_2 = e2
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4592), (4599) imply:
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | (4600) unit = e2
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4594), (4600) imply:
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | (4601) ~ (all_61_14 = e2)
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (50), (148), (150), (158), (163), (225),
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | (231), (475), (481), (536), (539), (632), (663),
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | (728), (731), (765), (4309), (4352), (4356),
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | (4563), (4582), (4584), (4585), (4587), (4601) are
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #323.
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | (4602) all_63_2 = e1 | all_63_2 = e0
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (489), (865), (4490), (4602) are inconsistent by
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #402.
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | (4603) all_58_2 = e2
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | (4604) all_58_1 = e1
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (50), (478), (481), (631), (731), (4296),
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | (4350), (4603), (4604) are inconsistent by
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | sub-proof #321.
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | End of split
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | (4605) all_58_3 = e1
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | (4606) all_58_2 = e0
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (478), (4606) imply:
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | (4607) all_52_2 = e0
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (475), (4605) imply:
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | (4608) all_52_3 = e1
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | SIMP: (4608) implies:
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | (4609) all_52_3 = e1
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | REDUCE: (748), (4607) imply:
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | (4610) op(e1, e0) = unit
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | REDUCE: (765), (4609) imply:
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | (4611) op(e0, e1) = unit
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_11, unit, e1, e0,
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | simplifying with (224), (4611) gives:
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | (4612) all_61_11 = unit
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_14, unit, e0, e1,
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | simplifying with (227), (4610) gives:
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | (4613) all_61_14 = unit
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | REDUCE: (208), (4613) imply:
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | (4614) ~ (all_61_2 = unit)
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | REDUCE: (192), (4612) imply:
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | (4615) ~ (all_61_7 = unit)
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | REDUCE: (4342), (4613) imply:
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | (4616) ~ (all_12_1 = unit)
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | SIMP: (4616) implies:
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | (4617) ~ (all_12_1 = unit)
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | REDUCE: (868), (4613) imply:
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | (4618) ~ (unit = e1)
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | REDUCE: (4556), (4613) imply:
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | (4619) ~ (unit = e0)
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | REDUCE: (691), (4612) imply:
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | (4620) op(unit, e2) = all_65_67
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | REDUCE: (693), (4612) imply:
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | (4621) op(unit, e0) = all_65_71
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | REDUCE: (680), (4613) imply:
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | (4622) op(unit, e1) = all_65_46
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | REDUCE: (4569), (4613) imply:
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | (4623) op(unit, e0) = unit
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | REDUCE: (4543), (4612) imply:
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | (4624) op(e3, unit) = all_65_53
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | REDUCE: (729), (4612) imply:
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | (4625) op(e2, unit) = all_65_30
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | REDUCE: (4363), (4613) imply:
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | (4626) op(e2, unit) = all_65_39
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | REDUCE: (746), (4612) imply:
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | (4627) op(e1, unit) = all_65_46
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (852) gives:
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | (4628) unit = e2
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4614), (4628) imply:
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | (4629) ~ (all_61_2 = e2)
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4615), (4628) imply:
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | (4630) ~ (all_61_7 = e2)
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4617), (4628) imply:
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | (4631) ~ (all_12_1 = e2)
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4620), (4628) imply:
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | (4632) op(e2, e2) = all_65_67
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4622), (4628) imply:
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | (4633) op(e2, e1) = all_65_46
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4621), (4628) imply:
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | (4634) op(e2, e0) = all_65_71
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4623), (4628) imply:
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | (4635) op(e2, e0) = e2
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4624), (4628) imply:
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | (4636) op(e3, e2) = all_65_53
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4625), (4628) imply:
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | (4637) op(e2, e2) = all_65_30
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4626), (4628) imply:
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | (4638) op(e2, e2) = all_65_39
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5), (4628) imply:
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | (4639) op(e2, e2) = e2
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4627), (4628) imply:
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | (4640) op(e1, e2) = all_65_46
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (258) gives:
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | (4641) all_63_13 = e3
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (508), (4641) imply:
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | (4642) all_61_7 = e3
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (202), (4642) imply:
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | (4643) ~ (all_61_4 = e3)
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4340), (4642) imply:
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | (4644) ~ (all_12_1 = e3)
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4644) implies:
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | (4645) ~ (all_12_1 = e3)
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (4642) imply:
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | (4646) op(e3, e3) = all_65_57
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4362), (4642) imply:
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | (4647) op(e3, e1) = all_65_67
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4542), (4642) imply:
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | (4648) op(e3, e3) = all_65_51
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (262) gives:
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | | (4649) all_63_9 = e3
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4334), (4649) imply:
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | | (4650) all_12_1 = e3
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4645), (4650) imply:
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | | (4651) $false
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4651) is inconsistent.
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | | (4652) all_63_9 = e2 | all_63_9 = e1 | all_63_9 = e0
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4652) gives:
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | (4653) all_63_9 = e2
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4334), (4653) imply:
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | (4654) all_12_1 = e2
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4631), (4654) imply:
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | (4655) $false
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4655) is inconsistent.
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | (4656) all_63_9 = e1 | all_63_9 = e0
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (270) gives:
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | (4657) all_63_1 = e3
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (488), (4657) imply:
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | (4658) all_61_4 = e3
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4643), (4658) imply:
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | (4659) $false
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4659) is inconsistent.
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | (4660) all_63_1 = e2 | all_63_1 = e1 | all_63_1 = e0
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4660) gives:
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4661) all_63_1 = e2
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (488), (4661) imply:
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4662) all_61_4 = e2
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (641), (4662) imply:
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4663) op(e2, e0) = all_65_7
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (733), (4662) imply:
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4664) op(e1, e2) = all_65_33
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4656) gives:
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4665) all_63_9 = e1
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4334), (4665) imply:
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4666) all_12_1 = e1
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4348), (4666) imply:
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4667) $false
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4667) is inconsistent.
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4668) all_63_9 = e0
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4334), (4668) imply:
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4669) all_12_1 = e0
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4333), (4669) imply:
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4670) all_16_1 = e0
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4336), (4669) imply:
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4671) ~ (all_61_1 = e0)
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4337), (4669) imply:
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4672) ~ (all_61_2 = e0)
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4347), (4669) imply:
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4673) ~ (all_61_13 = e0)
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4350), (4669) imply:
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4674) op(e0, e2) = e1
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4316) gives:
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4675) ~ (all_16_1 = e0)
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4670), (4675) imply:
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4676) $false
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4676) is inconsistent.
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4677) ~ (all_16_0 = e3) & op(e0, e2) = all_16_0 &
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_16_0)
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4677) implies:
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4678) op(e0, e2) = all_16_0
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (263) gives:
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4679) all_63_8 = e3
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (499), (4679) imply:
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4680) all_61_2 = e3
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4680) implies:
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4681) all_61_2 = e3
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (216), (4681) imply:
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4682) ~ (all_61_1 = e3)
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (667), (4681) imply:
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4683) op(e3, e2) = all_65_33
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (706), (4681) imply:
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4684) op(e3, e3) = all_65_8
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4355), (4681) imply:
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4685) op(e2, all_61_1) = e3
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (267) gives:
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4686) all_63_4 = e3
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (493), (4686) imply:
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4687) all_61_1 = e3
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4682), (4687) imply:
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4688) $false
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4688) is inconsistent.
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4689) all_63_4 = e2 | all_63_4 = e1 | all_63_4 = e0
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4689) gives:
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4690) all_63_4 = e2
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (493), (4690) imply:
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4691) all_61_1 = e2
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (212), (4691) imply:
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4692) ~ (all_61_13 = e2)
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4692) implies:
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4693) ~ (all_61_13 = e2)
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4521), (4691) imply:
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4694) ~ (all_36_1 = e2)
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4694) implies:
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4695) ~ (all_36_1 = e2)
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (651), (4691) imply:
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4696) op(e2, e2) = all_65_17
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4541), (4691) imply:
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4697) op(e2, e0) = all_65_28
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4685), (4691) imply:
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4698) op(e2, e2) = e3
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (753), (4691) imply:
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4699) op(e0, e2) = all_65_57
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (264) gives:
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4700) all_63_7 = e3
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (498), (4700) imply:
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4701) all_61_13 = e3
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4701) implies:
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4702) all_61_13 = e3
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4523), (4702) imply:
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4703) ~ (all_36_1 = e3)
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4703) implies:
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4704) ~ (all_36_1 = e3)
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (663), (4702) imply:
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4705) op(e3, e2) = all_65_29
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (664), (4702) imply:
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4706) op(e3, e1) = all_65_30
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (705), (4702) imply:
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4707) op(e3, e3) = all_65_7
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (231), (4702) imply:
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4708) op(e2, e0) = e3
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (268) gives:
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4709) all_63_3 = e3
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4520), (4704), (4709) are inconsistent by
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #370.
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4710) all_63_3 = e2 | all_63_3 = e1 | all_63_3 = e0
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4710) gives:
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4711) all_63_3 = e2
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4520), (4695), (4711) are inconsistent by
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #369.
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4712) all_63_3 = e1 | all_63_3 = e0
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4712) gives:
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4713) all_63_3 = e1
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4520), (4713) imply:
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4714) all_36_1 = e1
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4714) implies:
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4715) all_36_1 = e1
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4525), (4715) imply:
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4716) op(e1, e2) = all_65_51
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4531), (4715) imply:
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4717) op(e2, e1) = all_65_28
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e1, all_16_0, e2, e0,
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (4674), (4678) gives:
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4718) all_16_0 = e1
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_16_0, all_65_57, e2,
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, simplifying with (4678), (4699) gives:
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4719) all_65_57 = all_16_0
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_46, all_65_33, e2,
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, simplifying with (4640), (4664) gives:
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4720) all_65_33 = all_65_46
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_51, all_65_33, e2,
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, simplifying with (4664), (4716) gives:
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4721) all_65_33 = all_65_51
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e2, all_65_71, e0, e2,
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (4634), (4635) gives:
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4722) all_65_71 = e2
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e3, all_65_28, e0, e2,
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (4697), (4708) gives:
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4723) all_65_28 = e3
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_71, all_65_7, e0,
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, simplifying with (4634), (4663) gives:
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4724) all_65_7 = all_65_71
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_46, all_65_28, e1,
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, simplifying with (4633), (4717) gives:
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4725) all_65_28 = all_65_46
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_67, all_65_39, e2,
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, simplifying with (4632), (4638) gives:
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4726) all_65_39 = all_65_67
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e3, all_65_39, e2, e2,
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (4638), (4698) gives:
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4727) all_65_39 = e3
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_30, all_65_17, e2,
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, simplifying with (4637), (4696) gives:
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4728) all_65_17 = all_65_30
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e2, all_65_17, e2, e2,
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (4639), (4696) gives:
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4729) all_65_17 = e2
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_67, all_65_30, e1,
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, simplifying with (4647), (4706) gives:
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4730) all_65_30 = all_65_67
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_33, all_65_29, e2,
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, simplifying with (4683), (4705) gives:
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4731) all_65_29 = all_65_33
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_53, all_65_29, e2,
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, simplifying with (4636), (4705) gives:
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4732) all_65_29 = all_65_53
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_51, all_65_8, e3,
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, simplifying with (4648), (4684) gives:
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4733) all_65_8 = all_65_51
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_57, all_65_8, e3,
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, simplifying with (4646), (4684) gives:
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4734) all_65_8 = all_65_57
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e0, all_65_7, e3, e3,
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (4496), (4707) gives:
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4735) all_65_7 = e0
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4724), (4735) imply:
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4736) all_65_71 = e0
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4736) implies:
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4737) all_65_71 = e0
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4733), (4734) imply:
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4738) all_65_51 = all_65_57
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4728), (4729) imply:
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4739) all_65_30 = e2
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4739) implies:
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4740) all_65_30 = e2
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4723), (4725) imply:
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4741) all_65_46 = e3
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4741) implies:
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4742) all_65_46 = e3
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4731), (4732) imply:
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4743) all_65_33 = all_65_53
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4743) implies:
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4744) all_65_33 = all_65_53
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4730), (4740) imply:
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4745) all_65_67 = e2
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4745) implies:
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4746) all_65_67 = e2
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4720), (4721) imply:
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4747) all_65_46 = all_65_51
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4747) implies:
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4748) all_65_46 = all_65_51
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4721), (4744) imply:
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4749) all_65_51 = all_65_53
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4726), (4727) imply:
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4750) all_65_67 = e3
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4750) implies:
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4751) all_65_67 = e3
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4742), (4748) imply:
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4752) all_65_51 = e3
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4749), (4752) imply:
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4753) all_65_53 = e3
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4738), (4749) imply:
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4754) all_65_53 = all_65_57
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4753), (4754) imply:
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4755) all_65_57 = e3
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4755) implies:
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4756) all_65_57 = e3
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4719), (4756) imply:
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4757) all_16_0 = e3
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4757) implies:
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4758) all_16_0 = e3
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4746), (4751) imply:
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4759) e3 = e2
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4722), (4737) imply:
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4760) e2 = e0
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4760) implies:
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4761) e2 = e0
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4718), (4758) imply:
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4762) e3 = e1
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4762) implies:
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4763) e3 = e1
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4759), (4763) imply:
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4764) e2 = e1
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (4761), (4764) are inconsistent by sub-proof
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #397.
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4765) all_63_3 = e0
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4520), (4557), (4765) are inconsistent by
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #368.
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4766) all_63_7 = e2 | all_63_7 = e1 | all_63_7 = e0
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (498), (4302), (4673), (4693), (4766) are
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #474.
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4767) all_63_4 = e1 | all_63_4 = e0
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (493), (4299), (4671), (4767) are inconsistent by
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #472.
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4768) all_63_8 = e2 | all_63_8 = e1 | all_63_8 = e0
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (499), (863), (4629), (4672), (4768) are
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #386.
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4769) all_63_1 = e1 | all_63_1 = e0
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (488), (4300), (4489), (4769) are inconsistent by
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #486.
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | (4770) all_63_13 = e2 | all_63_13 = e1 | all_63_13 = e0
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (508), (4301), (4555), (4630), (4770) are
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #444.
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | (4771) unit = e1 | unit = e0
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4618), (4619), (4771) are inconsistent by
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | | sub-proof #419.
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | | End of split
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | | End of split
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | |
% 172.25/26.16 | | | | | | | | | | | | | | | | | | | End of split
% 172.25/26.16 | | | | | | | | | | | | | | | | | | |
% 172.25/26.16 | | | | | | | | | | | | | | | | | | End of split
% 172.25/26.16 | | | | | | | | | | | | | | | | | |
% 172.25/26.16 | | | | | | | | | | | | | | | | | End of split
% 172.25/26.16 | | | | | | | | | | | | | | | | |
% 172.25/26.16 | | | | | | | | | | | | | | | | Case 2:
% 172.25/26.16 | | | | | | | | | | | | | | | | |
% 172.25/26.16 | | | | | | | | | | | | | | | | | (4772) all_42_2 = e1
% 172.25/26.16 | | | | | | | | | | | | | | | | | (4773) op(e0, e1) = all_42_1 & $i(all_42_1) & ( ~
% 172.25/26.16 | | | | | | | | | | | | | | | | | (all_42_1 = e3) | ( ~ (all_42_0 = e2) & op(e3,
% 172.25/26.16 | | | | | | | | | | | | | | | | | e0) = all_42_0 & $i(all_42_0)))
% 172.25/26.16 | | | | | | | | | | | | | | | | |
% 172.25/26.16 | | | | | | | | | | | | | | | | | ALPHA: (4773) implies:
% 172.25/26.16 | | | | | | | | | | | | | | | | | (4774) op(e0, e1) = all_42_1
% 172.25/26.16 | | | | | | | | | | | | | | | | |
% 172.25/26.16 | | | | | | | | | | | | | | | | | COMBINE_EQS: (532), (4772) imply:
% 172.25/26.16 | | | | | | | | | | | | | | | | | (4775) all_20_2 = e1
% 172.25/26.16 | | | | | | | | | | | | | | | | |
% 172.25/26.16 | | | | | | | | | | | | | | | | | SIMP: (4775) implies:
% 172.25/26.16 | | | | | | | | | | | | | | | | | (4776) all_20_2 = e1
% 172.25/26.16 | | | | | | | | | | | | | | | | |
% 172.25/26.16 | | | | | | | | | | | | | | | | | COMBINE_EQS: (582), (4776) imply:
% 172.25/26.16 | | | | | | | | | | | | | | | | | (4777) all_50_2 = e1
% 172.25/26.16 | | | | | | | | | | | | | | | | |
% 172.25/26.16 | | | | | | | | | | | | | | | | | REDUCE: (4524), (4776) imply:
% 172.25/26.16 | | | | | | | | | | | | | | | | | (4778) ~ (all_36_1 = e1)
% 172.25/26.16 | | | | | | | | | | | | | | | | |
% 172.25/26.16 | | | | | | | | | | | | | | | | | REDUCE: (694), (4776) imply:
% 172.25/26.16 | | | | | | | | | | | | | | | | | (4779) op(e1, e3) = all_65_73
% 172.25/26.16 | | | | | | | | | | | | | | | | |
% 172.25/26.16 | | | | | | | | | | | | | | | | | REDUCE: (696), (4776) imply:
% 172.25/26.16 | | | | | | | | | | | | | | | | | (4780) op(e1, e1) = all_65_77
% 172.25/26.16 | | | | | | | | | | | | | | | | |
% 172.25/26.16 | | | | | | | | | | | | | | | | | REDUCE: (697), (4776) imply:
% 172.25/26.16 | | | | | | | | | | | | | | | | | (4781) op(e1, e0) = all_65_78
% 172.25/26.16 | | | | | | | | | | | | | | | | |
% 172.25/26.16 | | | | | | | | | | | | | | | | | REDUCE: (4544), (4776) imply:
% 172.25/26.17 | | | | | | | | | | | | | | | | | (4782) op(e3, e1) = all_65_73
% 172.25/26.17 | | | | | | | | | | | | | | | | |
% 172.25/26.17 | | | | | | | | | | | | | | | | | REDUCE: (730), (4776) imply:
% 172.25/26.17 | | | | | | | | | | | | | | | | | (4783) op(e2, e1) = all_65_31
% 172.25/26.17 | | | | | | | | | | | | | | | | |
% 172.25/26.17 | | | | | | | | | | | | | | | | | REDUCE: (747), (4776) imply:
% 172.25/26.17 | | | | | | | | | | | | | | | | | (4784) op(e1, e1) = all_65_47
% 172.25/26.17 | | | | | | | | | | | | | | | | |
% 172.25/26.17 | | | | | | | | | | | | | | | | | REDUCE: (764), (4776) imply:
% 172.25/26.17 | | | | | | | | | | | | | | | | | (4785) op(e0, e1) = all_65_78
% 172.25/26.17 | | | | | | | | | | | | | | | | |
% 172.25/26.17 | | | | | | | | | | | | | | | | | REDUCE: (76), (4776) imply:
% 172.25/26.17 | | | | | | | | | | | | | | | | | (4786) op(e0, e0) = e1
% 172.25/26.17 | | | | | | | | | | | | | | | | |
% 172.25/26.17 | | | | | | | | | | | | | | | | | BETA: splitting (122) gives:
% 172.25/26.17 | | | | | | | | | | | | | | | | |
% 172.25/26.17 | | | | | | | | | | | | | | | | | Case 1:
% 172.25/26.17 | | | | | | | | | | | | | | | | | |
% 172.25/26.17 | | | | | | | | | | | | | | | | | | (4787) ~ (all_50_2 = e1)
% 172.25/26.17 | | | | | | | | | | | | | | | | | |
% 172.25/26.17 | | | | | | | | | | | | | | | | | | REDUCE: (4777), (4787) imply:
% 172.25/26.17 | | | | | | | | | | | | | | | | | | (4788) $false
% 172.25/26.17 | | | | | | | | | | | | | | | | | |
% 172.25/26.17 | | | | | | | | | | | | | | | | | | CLOSE: (4788) is inconsistent.
% 172.25/26.17 | | | | | | | | | | | | | | | | | |
% 172.25/26.17 | | | | | | | | | | | | | | | | | Case 2:
% 172.25/26.17 | | | | | | | | | | | | | | | | | |
% 172.25/26.17 | | | | | | | | | | | | | | | | | | (4789) op(e0, e1) = all_50_1 & $i(all_50_1) & ( ~
% 172.25/26.17 | | | | | | | | | | | | | | | | | | (all_50_1 = e2) | ( ~ (all_50_0 = e3) & op(e2,
% 172.25/26.17 | | | | | | | | | | | | | | | | | | e0) = all_50_0 & $i(all_50_0)))
% 172.25/26.17 | | | | | | | | | | | | | | | | | |
% 172.25/26.17 | | | | | | | | | | | | | | | | | | ALPHA: (4789) implies:
% 172.25/26.17 | | | | | | | | | | | | | | | | | | (4790) op(e0, e1) = all_50_1
% 172.25/26.17 | | | | | | | | | | | | | | | | | |
% 172.25/26.17 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_11, all_42_1, e1,
% 172.25/26.17 | | | | | | | | | | | | | | | | | | e0, simplifying with (224), (4774) gives:
% 172.25/26.17 | | | | | | | | | | | | | | | | | | (4791) all_61_11 = all_42_1
% 172.25/26.17 | | | | | | | | | | | | | | | | | |
% 172.25/26.17 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_11, all_50_1, e1,
% 172.25/26.17 | | | | | | | | | | | | | | | | | | e0, simplifying with (224), (4790) gives:
% 172.25/26.17 | | | | | | | | | | | | | | | | | | (4792) all_61_11 = all_50_1
% 172.25/26.17 | | | | | | | | | | | | | | | | | |
% 172.25/26.17 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_11, all_65_78, e1,
% 172.25/26.17 | | | | | | | | | | | | | | | | | | e0, simplifying with (224), (4785) gives:
% 172.25/26.17 | | | | | | | | | | | | | | | | | | (4793) all_65_78 = all_61_11
% 172.25/26.17 | | | | | | | | | | | | | | | | | |
% 172.25/26.17 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_14, all_65_78, e0,
% 172.25/26.17 | | | | | | | | | | | | | | | | | | e1, simplifying with (227), (4781) gives:
% 172.25/26.17 | | | | | | | | | | | | | | | | | | (4794) all_65_78 = all_61_14
% 172.25/26.17 | | | | | | | | | | | | | | | | | |
% 172.25/26.17 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e1, all_65_47, e1, e1,
% 172.25/26.17 | | | | | | | | | | | | | | | | | | simplifying with (876), (4784) gives:
% 172.25/26.17 | | | | | | | | | | | | | | | | | | (4795) all_65_47 = e1
% 172.25/26.17 | | | | | | | | | | | | | | | | | |
% 172.25/26.17 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_77, all_65_47, e1,
% 172.25/26.17 | | | | | | | | | | | | | | | | | | e1, simplifying with (4780), (4784) gives:
% 172.25/26.17 | | | | | | | | | | | | | | | | | | (4796) all_65_47 = all_65_77
% 172.25/26.17 | | | | | | | | | | | | | | | | | |
% 172.25/26.17 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_2, all_65_73, e3,
% 172.25/26.17 | | | | | | | | | | | | | | | | | | e1, simplifying with (230), (4779) gives:
% 172.25/26.17 | | | | | | | | | | | | | | | | | | (4797) all_65_73 = all_61_2
% 172.25/26.17 | | | | | | | | | | | | | | | | | |
% 172.25/26.17 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_12_1, all_65_31, e1,
% 172.25/26.17 | | | | | | | | | | | | | | | | | | e2, simplifying with (4296), (4783) gives:
% 172.25/26.17 | | | | | | | | | | | | | | | | | | (4798) all_65_31 = all_12_1
% 172.25/26.17 | | | | | | | | | | | | | | | | | |
% 172.25/26.17 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_8, all_65_73, e1,
% 172.25/26.17 | | | | | | | | | | | | | | | | | | e3, simplifying with (236), (4782) gives:
% 172.25/26.17 | | | | | | | | | | | | | | | | | | (4799) all_65_73 = all_61_8
% 172.25/26.17 | | | | | | | | | | | | | | | | | |
% 172.25/26.17 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4795), (4796) imply:
% 172.25/26.17 | | | | | | | | | | | | | | | | | | (4800) all_65_77 = e1
% 172.25/26.17 | | | | | | | | | | | | | | | | | |
% 172.25/26.17 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4797), (4799) imply:
% 172.25/26.17 | | | | | | | | | | | | | | | | | | (4801) all_61_2 = all_61_8
% 172.25/26.17 | | | | | | | | | | | | | | | | | |
% 172.25/26.17 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4793), (4794) imply:
% 172.25/26.17 | | | | | | | | | | | | | | | | | | (4802) all_61_11 = all_61_14
% 172.25/26.17 | | | | | | | | | | | | | | | | | |
% 172.25/26.17 | | | | | | | | | | | | | | | | | | SIMP: (4802) implies:
% 172.25/26.17 | | | | | | | | | | | | | | | | | | (4803) all_61_11 = all_61_14
% 172.25/26.17 | | | | | | | | | | | | | | | | | |
% 172.25/26.17 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4791), (4803) imply:
% 172.25/26.17 | | | | | | | | | | | | | | | | | | (4804) all_61_14 = all_42_1
% 172.25/26.17 | | | | | | | | | | | | | | | | | |
% 172.25/26.17 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4792), (4803) imply:
% 172.25/26.17 | | | | | | | | | | | | | | | | | | (4805) all_61_14 = all_50_1
% 172.25/26.17 | | | | | | | | | | | | | | | | | |
% 172.25/26.17 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4804), (4805) imply:
% 172.25/26.17 | | | | | | | | | | | | | | | | | | (4806) all_50_1 = all_42_1
% 172.25/26.17 | | | | | | | | | | | | | | | | | |
% 172.25/26.17 | | | | | | | | | | | | | | | | | | REDUCE: (177), (4804) imply:
% 172.25/26.17 | | | | | | | | | | | | | | | | | | (4807) ~ (all_61_13 = all_42_1)
% 172.25/26.17 | | | | | | | | | | | | | | | | | |
% 172.25/26.17 | | | | | | | | | | | | | | | | | | REDUCE: (4352), (4791) imply:
% 172.25/26.17 | | | | | | | | | | | | | | | | | | (4808) op(all_61_7, e2) = all_42_1
% 172.25/26.17 | | | | | | | | | | | | | | | | | |
% 172.25/26.17 | | | | | | | | | | | | | | | | | | REDUCE: (693), (4791) imply:
% 172.25/26.17 | | | | | | | | | | | | | | | | | | (4809) op(all_42_1, e0) = all_65_71
% 172.25/26.17 | | | | | | | | | | | | | | | | | |
% 172.25/26.17 | | | | | | | | | | | | | | | | | | REDUCE: (665), (4798) imply:
% 172.25/26.17 | | | | | | | | | | | | | | | | | | (4810) op(all_61_13, e0) = all_12_1
% 172.25/26.17 | | | | | | | | | | | | | | | | | |
% 172.25/26.17 | | | | | | | | | | | | | | | | | | REDUCE: (681), (4795), (4804) imply:
% 172.25/26.17 | | | | | | | | | | | | | | | | | | (4811) op(all_42_1, e0) = e1
% 172.25/26.17 | | | | | | | | | | | | | | | | | |
% 172.25/26.17 | | | | | | | | | | | | | | | | | | REDUCE: (227), (4804) imply:
% 172.25/26.17 | | | | | | | | | | | | | | | | | | (4812) op(e1, e0) = all_42_1
% 172.25/26.17 | | | | | | | | | | | | | | | | | |
% 172.25/26.17 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e1, all_65_71, e0,
% 172.25/26.17 | | | | | | | | | | | | | | | | | | all_42_1, simplifying with (4809), (4811) gives:
% 172.25/26.17 | | | | | | | | | | | | | | | | | | (4813) all_65_71 = e1
% 172.25/26.17 | | | | | | | | | | | | | | | | | |
% 172.25/26.17 | | | | | | | | | | | | | | | | | | BETA: splitting (163) gives:
% 172.25/26.17 | | | | | | | | | | | | | | | | | |
% 172.25/26.17 | | | | | | | | | | | | | | | | | | Case 1:
% 172.25/26.17 | | | | | | | | | | | | | | | | | | |
% 172.25/26.17 | | | | | | | | | | | | | | | | | | | (4814) ~ (all_58_1 = e0)
% 172.25/26.17 | | | | | | | | | | | | | | | | | | |
% 172.25/26.17 | | | | | | | | | | | | | | | | | | | REDUCE: (481), (4814) imply:
% 172.25/26.17 | | | | | | | | | | | | | | | | | | | (4815) ~ (all_52_1 = e0)
% 172.25/26.17 | | | | | | | | | | | | | | | | | | |
% 172.25/26.17 | | | | | | | | | | | | | | | | | | | BETA: splitting (158) gives:
% 172.25/26.17 | | | | | | | | | | | | | | | | | | |
% 172.25/26.17 | | | | | | | | | | | | | | | | | | | Case 1:
% 172.25/26.17 | | | | | | | | | | | | | | | | | | | |
% 172.25/26.17 | | | | | | | | | | | | | | | | | | | | (4816) ~ (all_58_3 = e2)
% 172.25/26.17 | | | | | | | | | | | | | | | | | | | |
% 172.25/26.17 | | | | | | | | | | | | | | | | | | | | REDUCE: (475), (4816) imply:
% 172.25/26.17 | | | | | | | | | | | | | | | | | | | | (4817) ~ (all_52_3 = e2)
% 172.25/26.17 | | | | | | | | | | | | | | | | | | | |
% 172.25/26.17 | | | | | | | | | | | | | | | | | | | | BETA: splitting (161) gives:
% 172.25/26.17 | | | | | | | | | | | | | | | | | | | |
% 172.25/26.17 | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.25/26.17 | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.17 | | | | | | | | | | | | | | | | | | | | | (4818) ~ (all_58_2 = e2)
% 172.25/26.17 | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.17 | | | | | | | | | | | | | | | | | | | | | REDUCE: (478), (4818) imply:
% 172.25/26.17 | | | | | | | | | | | | | | | | | | | | | (4819) ~ (all_52_2 = e2)
% 172.25/26.17 | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.17 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (164) gives:
% 172.25/26.17 | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.17 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.25/26.17 | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.17 | | | | | | | | | | | | | | | | | | | | | | (4820) ~ (all_58_1 = e1)
% 172.25/26.17 | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.17 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (481), (4820) imply:
% 172.25/26.17 | | | | | | | | | | | | | | | | | | | | | | (4821) ~ (all_52_1 = e1)
% 172.25/26.17 | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.17 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (159) gives:
% 172.25/26.17 | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.17 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.25/26.17 | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.17 | | | | | | | | | | | | | | | | | | | | | | | (4822) ~ (all_58_3 = e3)
% 172.25/26.17 | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.17 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (475), (4822) imply:
% 172.25/26.17 | | | | | | | | | | | | | | | | | | | | | | | (4823) ~ (all_52_3 = e3)
% 172.25/26.17 | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.17 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (160) gives:
% 172.25/26.17 | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.17 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.25/26.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.17 | | | | | | | | | | | | | | | | | | | | | | | | (4824) ~ (all_58_2 = e0)
% 172.25/26.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.17 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (478), (4824) imply:
% 172.25/26.17 | | | | | | | | | | | | | | | | | | | | | | | | (4825) ~ (all_52_2 = e0)
% 172.25/26.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.17 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (157) gives:
% 172.25/26.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.17 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.25/26.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | (4826) ~ (all_58_3 = e1)
% 172.25/26.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (475), (4826) imply:
% 172.25/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | (4827) ~ (all_52_3 = e1)
% 172.25/26.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (50), (148), (201), (236), (270), (488),
% 172.25/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | (539), (765), (4296), (4300), (4338), (4489),
% 172.25/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | (4786), (4817), (4823), (4827) are inconsistent by
% 172.25/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #319.
% 172.25/26.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.17 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.25/26.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | (4828) all_58_2 = e0
% 172.25/26.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (478), (4825), (4828) are inconsistent by
% 172.25/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #436.
% 172.25/26.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.17 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.25/26.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.17 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.25/26.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.17 | | | | | | | | | | | | | | | | | | | | | | | | (4829) all_58_3 = e1
% 172.25/26.17 | | | | | | | | | | | | | | | | | | | | | | | | (4830) all_58_2 = e0
% 172.25/26.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.17 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (478), (4830) imply:
% 172.25/26.17 | | | | | | | | | | | | | | | | | | | | | | | | (4831) all_52_2 = e0
% 172.25/26.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.17 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (475), (4829) imply:
% 172.25/26.17 | | | | | | | | | | | | | | | | | | | | | | | | (4832) all_52_3 = e1
% 172.25/26.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.17 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4832) implies:
% 172.25/26.17 | | | | | | | | | | | | | | | | | | | | | | | | (4833) all_52_3 = e1
% 172.25/26.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.17 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (633), (4831), (4833) imply:
% 172.25/26.17 | | | | | | | | | | | | | | | | | | | | | | | | (4834) ~ (e1 = e0)
% 172.25/26.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.17 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (748), (4831) imply:
% 172.25/26.17 | | | | | | | | | | | | | | | | | | | | | | | | (4835) op(e1, e0) = unit
% 172.25/26.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.17 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (18), (50), (4811), (4812), (4835) are
% 172.25/26.17 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #478.
% 172.25/26.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.17 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.25/26.17 | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.17 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.25/26.17 | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.17 | | | | | | | | | | | | | | | | | | | | | | | (4836) all_58_3 = e3
% 172.25/26.17 | | | | | | | | | | | | | | | | | | | | | | | (4837) all_58_0 = e0
% 172.25/26.17 | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.17 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (484), (4837) imply:
% 172.25/26.17 | | | | | | | | | | | | | | | | | | | | | | | (4838) all_52_0 = e0
% 172.25/26.17 | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.17 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4838) implies:
% 172.25/26.17 | | | | | | | | | | | | | | | | | | | | | | | (4839) all_52_0 = e0
% 172.25/26.17 | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.17 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (475), (4836) imply:
% 172.25/26.17 | | | | | | | | | | | | | | | | | | | | | | | (4840) all_52_3 = e3
% 172.25/26.17 | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.17 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (628), (4839) imply:
% 172.25/26.17 | | | | | | | | | | | | | | | | | | | | | | | (4841) ~ (all_52_1 = e0)
% 172.25/26.17 | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.17 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (632), (4840) imply:
% 172.25/26.17 | | | | | | | | | | | | | | | | | | | | | | | (4842) ~ (all_52_1 = e3)
% 172.25/26.17 | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.17 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (714), (4839) imply:
% 172.25/26.17 | | | | | | | | | | | | | | | | | | | | | | | (4843) op(e3, e0) = unit
% 172.25/26.17 | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.17 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (150) gives:
% 172.25/26.17 | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.17 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.25/26.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.17 | | | | | | | | | | | | | | | | | | | | | | | | (4844) all_56_1 = e3
% 172.25/26.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.17 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (536), (4842), (4844) are inconsistent by
% 172.25/26.17 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #455.
% 172.25/26.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.17 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.25/26.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.17 | | | | | | | | | | | | | | | | | | | | | | | | (4845) all_56_1 = e2 | all_56_1 = e1 | all_56_1 = e0
% 172.25/26.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.17 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4845) gives:
% 172.25/26.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.17 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.25/26.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | (4846) all_56_1 = e2
% 172.25/26.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (536), (4846) imply:
% 172.25/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | (4847) all_52_1 = e2
% 172.25/26.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4847) implies:
% 172.25/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | (4848) all_52_1 = e2
% 172.25/26.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (731), (4848) imply:
% 172.25/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | (4849) op(e2, e2) = unit
% 172.25/26.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e1, unit, e2, e2,
% 172.25/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (4309), (4849) gives:
% 172.25/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | (4850) unit = e1
% 172.25/26.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_36_1, unit, e0, e3,
% 172.25/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (4485), (4843) gives:
% 172.25/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | (4851) all_36_1 = unit
% 172.25/26.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4850), (4851) imply:
% 172.25/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | (4852) all_36_1 = e1
% 172.25/26.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4778), (4852) imply:
% 172.25/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | (4853) $false
% 172.25/26.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4853) is inconsistent.
% 172.25/26.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.17 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.25/26.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | (4854) all_56_1 = e1 | all_56_1 = e0
% 172.25/26.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (536), (4815), (4821), (4854) are inconsistent by
% 172.25/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #454.
% 172.25/26.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.17 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.25/26.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.17 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.25/26.17 | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.17 | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.25/26.17 | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.17 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.25/26.17 | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.17 | | | | | | | | | | | | | | | | | | | | | | (4855) all_58_2 = e2
% 172.25/26.17 | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.17 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (478), (4819), (4855) are inconsistent by
% 172.25/26.17 | | | | | | | | | | | | | | | | | | | | | | sub-proof #433.
% 172.25/26.17 | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.17 | | | | | | | | | | | | | | | | | | | | | End of split
% 172.25/26.17 | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.17 | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.25/26.17 | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.17 | | | | | | | | | | | | | | | | | | | | | (4856) all_58_2 = e2
% 172.25/26.17 | | | | | | | | | | | | | | | | | | | | | (4857) all_58_1 = e1
% 172.25/26.17 | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.17 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (50), (478), (481), (631), (731), (4296),
% 172.25/26.17 | | | | | | | | | | | | | | | | | | | | | (4350), (4856), (4857) are inconsistent by
% 172.25/26.17 | | | | | | | | | | | | | | | | | | | | | sub-proof #321.
% 172.25/26.17 | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.17 | | | | | | | | | | | | | | | | | | | | End of split
% 172.25/26.17 | | | | | | | | | | | | | | | | | | | |
% 172.25/26.17 | | | | | | | | | | | | | | | | | | | Case 2:
% 172.25/26.17 | | | | | | | | | | | | | | | | | | | |
% 172.25/26.17 | | | | | | | | | | | | | | | | | | | | (4858) all_58_1 = e0
% 172.25/26.17 | | | | | | | | | | | | | | | | | | | |
% 172.25/26.17 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (481), (4815), (4858) are inconsistent by
% 172.25/26.17 | | | | | | | | | | | | | | | | | | | | sub-proof #462.
% 172.25/26.17 | | | | | | | | | | | | | | | | | | | |
% 172.25/26.17 | | | | | | | | | | | | | | | | | | | End of split
% 172.25/26.17 | | | | | | | | | | | | | | | | | | |
% 172.25/26.17 | | | | | | | | | | | | | | | | | | Case 2:
% 172.25/26.17 | | | | | | | | | | | | | | | | | | |
% 172.25/26.17 | | | | | | | | | | | | | | | | | | | (4859) all_58_3 = e2
% 172.25/26.17 | | | | | | | | | | | | | | | | | | | (4860) all_58_1 = e0
% 172.25/26.17 | | | | | | | | | | | | | | | | | | |
% 172.25/26.17 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (481), (4860) imply:
% 172.25/26.17 | | | | | | | | | | | | | | | | | | | (4861) all_52_1 = e0
% 172.25/26.17 | | | | | | | | | | | | | | | | | | |
% 172.25/26.17 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9), (50), (225), (231), (475), (663), (689),
% 172.25/26.17 | | | | | | | | | | | | | | | | | | | (731), (765), (852), (4302), (4347), (4807),
% 172.25/26.17 | | | | | | | | | | | | | | | | | | | (4808), (4810), (4859), (4861) are inconsistent by
% 172.25/26.17 | | | | | | | | | | | | | | | | | | | sub-proof #317.
% 172.25/26.17 | | | | | | | | | | | | | | | | | | |
% 172.25/26.17 | | | | | | | | | | | | | | | | | | End of split
% 172.25/26.17 | | | | | | | | | | | | | | | | | |
% 172.25/26.17 | | | | | | | | | | | | | | | | | End of split
% 172.25/26.17 | | | | | | | | | | | | | | | | |
% 172.25/26.17 | | | | | | | | | | | | | | | | End of split
% 172.25/26.17 | | | | | | | | | | | | | | | |
% 172.25/26.17 | | | | | | | | | | | | | | | End of split
% 172.25/26.17 | | | | | | | | | | | | | | |
% 172.25/26.17 | | | | | | | | | | | | | | End of split
% 172.25/26.17 | | | | | | | | | | | | | |
% 172.25/26.17 | | | | | | | | | | | | | Case 2:
% 172.25/26.17 | | | | | | | | | | | | | |
% 172.25/26.17 | | | | | | | | | | | | | | (4862) all_28_2 = e3
% 172.25/26.17 | | | | | | | | | | | | | | (4863) op(e0, e3) = all_28_1 & $i(all_28_1) & ( ~
% 172.25/26.17 | | | | | | | | | | | | | | (all_28_1 = e2) | ( ~ (all_28_0 = e1) & op(e2,
% 172.25/26.17 | | | | | | | | | | | | | | e0) = all_28_0 & $i(all_28_0)))
% 172.25/26.17 | | | | | | | | | | | | | |
% 172.25/26.17 | | | | | | | | | | | | | | ALPHA: (4863) implies:
% 172.25/26.17 | | | | | | | | | | | | | | (4864) op(e0, e3) = all_28_1
% 172.25/26.17 | | | | | | | | | | | | | |
% 172.25/26.17 | | | | | | | | | | | | | | COMBINE_EQS: (563), (4862) imply:
% 172.25/26.17 | | | | | | | | | | | | | | (4865) all_20_2 = e3
% 172.25/26.17 | | | | | | | | | | | | | |
% 172.25/26.17 | | | | | | | | | | | | | | REDUCE: (625), (4865) imply:
% 172.25/26.17 | | | | | | | | | | | | | | (4866) ~ (all_61_12 = e3)
% 172.25/26.17 | | | | | | | | | | | | | |
% 172.25/26.17 | | | | | | | | | | | | | | REDUCE: (626), (4865) imply:
% 172.25/26.17 | | | | | | | | | | | | | | (4867) ~ (all_61_13 = e3)
% 172.25/26.17 | | | | | | | | | | | | | |
% 172.25/26.17 | | | | | | | | | | | | | | REDUCE: (627), (4865) imply:
% 172.25/26.17 | | | | | | | | | | | | | | (4868) ~ (all_61_14 = e3)
% 172.25/26.17 | | | | | | | | | | | | | |
% 172.25/26.17 | | | | | | | | | | | | | | REDUCE: (694), (4865) imply:
% 172.25/26.17 | | | | | | | | | | | | | | (4869) op(e3, e3) = all_65_73
% 172.25/26.17 | | | | | | | | | | | | | |
% 172.25/26.17 | | | | | | | | | | | | | | REDUCE: (695), (4865) imply:
% 172.25/26.17 | | | | | | | | | | | | | | (4870) op(e3, e2) = all_65_75
% 172.25/26.17 | | | | | | | | | | | | | |
% 172.25/26.17 | | | | | | | | | | | | | | REDUCE: (696), (4865) imply:
% 172.25/26.17 | | | | | | | | | | | | | | (4871) op(e3, e1) = all_65_77
% 172.25/26.17 | | | | | | | | | | | | | |
% 172.25/26.17 | | | | | | | | | | | | | | REDUCE: (697), (4865) imply:
% 172.25/26.17 | | | | | | | | | | | | | | (4872) op(e3, e0) = all_65_78
% 172.25/26.17 | | | | | | | | | | | | | |
% 172.25/26.17 | | | | | | | | | | | | | | REDUCE: (713), (4865) imply:
% 172.25/26.17 | | | | | | | | | | | | | | (4873) op(e3, e3) = all_65_15
% 172.25/26.17 | | | | | | | | | | | | | |
% 172.25/26.17 | | | | | | | | | | | | | | REDUCE: (730), (4865) imply:
% 172.25/26.17 | | | | | | | | | | | | | | (4874) op(e2, e3) = all_65_31
% 172.25/26.17 | | | | | | | | | | | | | |
% 172.25/26.17 | | | | | | | | | | | | | | REDUCE: (747), (4865) imply:
% 172.25/26.17 | | | | | | | | | | | | | | (4875) op(e1, e3) = all_65_47
% 172.25/26.17 | | | | | | | | | | | | | |
% 172.25/26.17 | | | | | | | | | | | | | | REDUCE: (764), (4865) imply:
% 172.25/26.17 | | | | | | | | | | | | | | (4876) op(e0, e3) = all_65_78
% 172.25/26.17 | | | | | | | | | | | | | |
% 172.25/26.17 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_3, all_65_78, e3,
% 172.25/26.17 | | | | | | | | | | | | | | e0, simplifying with (226), (4876) gives:
% 172.25/26.17 | | | | | | | | | | | | | | (4877) all_65_78 = all_61_3
% 172.25/26.17 | | | | | | | | | | | | | |
% 172.25/26.17 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_28_1, all_65_78, e3,
% 172.25/26.17 | | | | | | | | | | | | | | e0, simplifying with (4864), (4876) gives:
% 172.25/26.17 | | | | | | | | | | | | | | (4878) all_65_78 = all_28_1
% 172.25/26.17 | | | | | | | | | | | | | |
% 172.25/26.17 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_2, all_65_47, e3,
% 172.25/26.17 | | | | | | | | | | | | | | e1, simplifying with (230), (4875) gives:
% 172.25/26.17 | | | | | | | | | | | | | | (4879) all_65_47 = all_61_2
% 172.25/26.17 | | | | | | | | | | | | | |
% 172.25/26.17 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_1, all_65_31, e3,
% 172.25/26.17 | | | | | | | | | | | | | | e2, simplifying with (234), (4874) gives:
% 172.25/26.17 | | | | | | | | | | | | | | (4880) all_65_31 = all_61_1
% 172.25/26.17 | | | | | | | | | | | | | |
% 172.25/26.17 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_12, all_65_78, e0,
% 172.25/26.17 | | | | | | | | | | | | | | e3, simplifying with (235), (4872) gives:
% 172.25/26.17 | | | | | | | | | | | | | | (4881) all_65_78 = all_61_12
% 172.25/26.17 | | | | | | | | | | | | | |
% 172.25/26.17 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_8, all_65_77, e1,
% 172.25/26.17 | | | | | | | | | | | | | | e3, simplifying with (236), (4871) gives:
% 172.25/26.17 | | | | | | | | | | | | | | (4882) all_65_77 = all_61_8
% 172.25/26.17 | | | | | | | | | | | | | |
% 172.25/26.18 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_4, all_65_75, e2,
% 172.25/26.18 | | | | | | | | | | | | | | e3, simplifying with (237), (4870) gives:
% 172.25/26.18 | | | | | | | | | | | | | | (4883) all_65_75 = all_61_4
% 172.25/26.18 | | | | | | | | | | | | | |
% 172.25/26.18 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_14_2, all_65_15, e3,
% 172.25/26.18 | | | | | | | | | | | | | | e3, simplifying with (67), (4873) gives:
% 172.25/26.18 | | | | | | | | | | | | | | (4884) all_65_15 = all_14_2
% 172.25/26.18 | | | | | | | | | | | | | |
% 172.25/26.18 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_73, all_65_15, e3,
% 172.25/26.18 | | | | | | | | | | | | | | e3, simplifying with (4869), (4873) gives:
% 172.25/26.18 | | | | | | | | | | | | | | (4885) all_65_15 = all_65_73
% 172.25/26.18 | | | | | | | | | | | | | |
% 172.25/26.18 | | | | | | | | | | | | | | COMBINE_EQS: (4884), (4885) imply:
% 172.25/26.18 | | | | | | | | | | | | | | (4886) all_65_73 = all_14_2
% 172.25/26.18 | | | | | | | | | | | | | |
% 172.25/26.18 | | | | | | | | | | | | | | COMBINE_EQS: (4878), (4881) imply:
% 172.25/26.18 | | | | | | | | | | | | | | (4887) all_61_12 = all_28_1
% 172.25/26.18 | | | | | | | | | | | | | |
% 172.25/26.18 | | | | | | | | | | | | | | SIMP: (4887) implies:
% 172.25/26.18 | | | | | | | | | | | | | | (4888) all_61_12 = all_28_1
% 172.25/26.18 | | | | | | | | | | | | | |
% 172.25/26.18 | | | | | | | | | | | | | | COMBINE_EQS: (4877), (4878) imply:
% 172.25/26.18 | | | | | | | | | | | | | | (4889) all_61_3 = all_28_1
% 172.25/26.18 | | | | | | | | | | | | | |
% 172.25/26.18 | | | | | | | | | | | | | | SIMP: (4889) implies:
% 172.25/26.18 | | | | | | | | | | | | | | (4890) all_61_3 = all_28_1
% 172.25/26.18 | | | | | | | | | | | | | |
% 172.25/26.18 | | | | | | | | | | | | | | COMBINE_EQS: (491), (4888) imply:
% 172.25/26.18 | | | | | | | | | | | | | | (4891) all_63_3 = all_28_1
% 172.25/26.18 | | | | | | | | | | | | | |
% 172.25/26.18 | | | | | | | | | | | | | | REDUCE: (206), (4890) imply:
% 172.25/26.18 | | | | | | | | | | | | | | (4892) ~ (all_61_11 = all_28_1)
% 172.25/26.18 | | | | | | | | | | | | | |
% 172.25/26.18 | | | | | | | | | | | | | | SIMP: (4892) implies:
% 172.25/26.18 | | | | | | | | | | | | | | (4893) ~ (all_61_11 = all_28_1)
% 172.25/26.18 | | | | | | | | | | | | | |
% 172.25/26.18 | | | | | | | | | | | | | | REDUCE: (200), (4888) imply:
% 172.25/26.18 | | | | | | | | | | | | | | (4894) ~ (all_61_4 = all_28_1)
% 172.25/26.18 | | | | | | | | | | | | | |
% 172.25/26.18 | | | | | | | | | | | | | | REDUCE: (187), (4888) imply:
% 172.25/26.18 | | | | | | | | | | | | | | (4895) ~ (all_61_8 = all_28_1)
% 172.25/26.18 | | | | | | | | | | | | | |
% 172.25/26.18 | | | | | | | | | | | | | | REDUCE: (180), (4888) imply:
% 172.25/26.18 | | | | | | | | | | | | | | (4896) ~ (all_61_13 = all_28_1)
% 172.25/26.18 | | | | | | | | | | | | | |
% 172.25/26.18 | | | | | | | | | | | | | | SIMP: (4896) implies:
% 172.25/26.18 | | | | | | | | | | | | | | (4897) ~ (all_61_13 = all_28_1)
% 172.25/26.18 | | | | | | | | | | | | | |
% 172.25/26.18 | | | | | | | | | | | | | | REDUCE: (603), (4888) imply:
% 172.25/26.18 | | | | | | | | | | | | | | (4898) ~ (all_28_1 = all_14_2)
% 172.25/26.18 | | | | | | | | | | | | | |
% 172.25/26.18 | | | | | | | | | | | | | | REDUCE: (4866), (4888) imply:
% 172.25/26.18 | | | | | | | | | | | | | | (4899) ~ (all_28_1 = e3)
% 172.25/26.18 | | | | | | | | | | | | | |
% 172.25/26.18 | | | | | | | | | | | | | | REDUCE: (682), (4890) imply:
% 172.25/26.18 | | | | | | | | | | | | | | (4900) op(all_28_1, e3) = all_65_49
% 172.25/26.18 | | | | | | | | | | | | | |
% 172.25/26.18 | | | | | | | | | | | | | | REDUCE: (646), (4888) imply:
% 172.25/26.18 | | | | | | | | | | | | | | (4901) op(all_28_1, e3) = all_65_12
% 172.25/26.18 | | | | | | | | | | | | | |
% 172.25/26.18 | | | | | | | | | | | | | | REDUCE: (681), (4879) imply:
% 172.25/26.18 | | | | | | | | | | | | | | (4902) op(all_61_14, e0) = all_61_2
% 172.25/26.18 | | | | | | | | | | | | | |
% 172.25/26.18 | | | | | | | | | | | | | | REDUCE: (710), (4890) imply:
% 172.25/26.18 | | | | | | | | | | | | | | (4903) op(e3, all_28_1) = all_65_12
% 172.25/26.18 | | | | | | | | | | | | | |
% 172.25/26.18 | | | | | | | | | | | | | | REDUCE: (701), (4888) imply:
% 172.25/26.18 | | | | | | | | | | | | | | (4904) op(e3, all_28_1) = all_65_3
% 172.25/26.18 | | | | | | | | | | | | | |
% 172.25/26.18 | | | | | | | | | | | | | | REDUCE: (763), (4882) imply:
% 172.25/26.18 | | | | | | | | | | | | | | (4905) op(e0, all_61_11) = all_61_8
% 172.25/26.18 | | | | | | | | | | | | | |
% 172.25/26.18 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_12, all_65_3,
% 172.25/26.18 | | | | | | | | | | | | | | all_28_1, e3, simplifying with (4903), (4904)
% 172.25/26.18 | | | | | | | | | | | | | | gives:
% 172.25/26.18 | | | | | | | | | | | | | | (4906) all_65_3 = all_65_12
% 172.25/26.18 | | | | | | | | | | | | | |
% 172.25/26.18 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_49, all_65_12, e3,
% 172.25/26.18 | | | | | | | | | | | | | | all_28_1, simplifying with (4900), (4901) gives:
% 172.25/26.18 | | | | | | | | | | | | | | (4907) all_65_12 = all_65_49
% 172.25/26.18 | | | | | | | | | | | | | |
% 172.25/26.18 | | | | | | | | | | | | | | COMBINE_EQS: (4906), (4907) imply:
% 172.25/26.18 | | | | | | | | | | | | | | (4908) all_65_3 = all_65_49
% 172.25/26.18 | | | | | | | | | | | | | |
% 172.25/26.18 | | | | | | | | | | | | | | REDUCE: (637), (4908) imply:
% 172.25/26.18 | | | | | | | | | | | | | | (4909) op(all_14_2, e0) = all_65_49
% 172.25/26.18 | | | | | | | | | | | | | |
% 172.25/26.18 | | | | | | | | | | | | | | BETA: splitting (101) gives:
% 172.25/26.18 | | | | | | | | | | | | | |
% 172.25/26.18 | | | | | | | | | | | | | | Case 1:
% 172.25/26.18 | | | | | | | | | | | | | | |
% 172.25/26.18 | | | | | | | | | | | | | | | (4910) ~ (all_36_2 = e0)
% 172.25/26.18 | | | | | | | | | | | | | | |
% 172.25/26.18 | | | | | | | | | | | | | | | REDUCE: (557), (4910) imply:
% 172.25/26.18 | | | | | | | | | | | | | | | (4911) ~ (all_14_2 = e0)
% 172.25/26.18 | | | | | | | | | | | | | | |
% 172.25/26.18 | | | | | | | | | | | | | | | BETA: splitting (107) gives:
% 172.25/26.18 | | | | | | | | | | | | | | |
% 172.25/26.18 | | | | | | | | | | | | | | | Case 1:
% 172.25/26.18 | | | | | | | | | | | | | | | |
% 172.25/26.18 | | | | | | | | | | | | | | | | (4912) ~ (all_40_2 = e1)
% 172.25/26.18 | | | | | | | | | | | | | | | |
% 172.25/26.18 | | | | | | | | | | | | | | | | REDUCE: (553), (4912) imply:
% 172.25/26.18 | | | | | | | | | | | | | | | | (4913) ~ (all_14_2 = e1)
% 172.25/26.18 | | | | | | | | | | | | | | | |
% 172.25/26.18 | | | | | | | | | | | | | | | | REF_CLOSE: (10), (50), (67), (151), (159), (162), (165),
% 172.25/26.18 | | | | | | | | | | | | | | | | (166), (167), (168), (226), (230), (234), (235),
% 172.25/26.18 | | | | | | | | | | | | | | | | (236), (237), (271), (475), (478), (481), (484),
% 172.25/26.18 | | | | | | | | | | | | | | | | (534), (588), (599), (601), (603), (635), (636),
% 172.25/26.18 | | | | | | | | | | | | | | | | (637), (638), (642), (646), (650), (666), (682),
% 172.25/26.18 | | | | | | | | | | | | | | | | (698), (714), (715), (731), (732), (748), (749),
% 172.25/26.18 | | | | | | | | | | | | | | | | (765), (851), (4364), (4911), (4913) are
% 172.25/26.18 | | | | | | | | | | | | | | | | inconsistent by sub-proof #502.
% 172.25/26.18 | | | | | | | | | | | | | | | |
% 172.25/26.18 | | | | | | | | | | | | | | | Case 2:
% 172.25/26.18 | | | | | | | | | | | | | | | |
% 172.25/26.18 | | | | | | | | | | | | | | | | (4914) all_40_2 = e1
% 172.25/26.18 | | | | | | | | | | | | | | | | (4915) op(e3, e1) = all_40_1 & $i(all_40_1) & ( ~
% 172.25/26.18 | | | | | | | | | | | | | | | | (all_40_1 = e0) | ( ~ (all_40_0 = e2) & op(e0,
% 172.25/26.18 | | | | | | | | | | | | | | | | e3) = all_40_0 & $i(all_40_0)))
% 172.25/26.18 | | | | | | | | | | | | | | | |
% 172.25/26.18 | | | | | | | | | | | | | | | | ALPHA: (4915) implies:
% 172.25/26.18 | | | | | | | | | | | | | | | | (4916) op(e3, e1) = all_40_1
% 172.25/26.18 | | | | | | | | | | | | | | | |
% 172.25/26.18 | | | | | | | | | | | | | | | | COMBINE_EQS: (553), (4914) imply:
% 172.25/26.18 | | | | | | | | | | | | | | | | (4917) all_14_2 = e1
% 172.25/26.18 | | | | | | | | | | | | | | | |
% 172.25/26.18 | | | | | | | | | | | | | | | | SIMP: (4917) implies:
% 172.25/26.18 | | | | | | | | | | | | | | | | (4918) all_14_2 = e1
% 172.25/26.18 | | | | | | | | | | | | | | | |
% 172.25/26.18 | | | | | | | | | | | | | | | | REDUCE: (4898), (4918) imply:
% 172.25/26.18 | | | | | | | | | | | | | | | | (4919) ~ (all_28_1 = e1)
% 172.25/26.18 | | | | | | | | | | | | | | | |
% 172.25/26.18 | | | | | | | | | | | | | | | | REDUCE: (4909), (4918) imply:
% 172.25/26.18 | | | | | | | | | | | | | | | | (4920) op(e1, e0) = all_65_49
% 172.25/26.18 | | | | | | | | | | | | | | | |
% 172.25/26.18 | | | | | | | | | | | | | | | | REDUCE: (698), (4918) imply:
% 172.25/26.18 | | | | | | | | | | | | | | | | (4921) op(e3, e1) = all_65_0
% 172.25/26.18 | | | | | | | | | | | | | | | |
% 172.25/26.18 | | | | | | | | | | | | | | | | REDUCE: (715), (4918) imply:
% 172.25/26.18 | | | | | | | | | | | | | | | | (4922) op(e2, e1) = all_65_16
% 172.25/26.18 | | | | | | | | | | | | | | | |
% 172.25/26.18 | | | | | | | | | | | | | | | | REDUCE: (749), (4918) imply:
% 172.25/26.18 | | | | | | | | | | | | | | | | (4923) op(e0, e1) = all_65_49
% 172.25/26.18 | | | | | | | | | | | | | | | |
% 172.25/26.18 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_11, all_65_49, e1,
% 172.25/26.18 | | | | | | | | | | | | | | | | e0, simplifying with (224), (4923) gives:
% 172.25/26.18 | | | | | | | | | | | | | | | | (4924) all_65_49 = all_61_11
% 172.25/26.18 | | | | | | | | | | | | | | | |
% 172.25/26.18 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_14, all_65_49, e0,
% 172.25/26.18 | | | | | | | | | | | | | | | | e1, simplifying with (227), (4920) gives:
% 172.25/26.18 | | | | | | | | | | | | | | | | (4925) all_65_49 = all_61_14
% 172.25/26.18 | | | | | | | | | | | | | | | |
% 172.25/26.18 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_12_1, all_65_16, e1,
% 172.25/26.18 | | | | | | | | | | | | | | | | e2, simplifying with (4296), (4922) gives:
% 172.25/26.18 | | | | | | | | | | | | | | | | (4926) all_65_16 = all_12_1
% 172.25/26.18 | | | | | | | | | | | | | | | |
% 172.25/26.18 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_8, all_65_0, e1,
% 172.25/26.18 | | | | | | | | | | | | | | | | e3, simplifying with (236), (4921) gives:
% 172.25/26.18 | | | | | | | | | | | | | | | | (4927) all_65_0 = all_61_8
% 172.25/26.18 | | | | | | | | | | | | | | | |
% 172.25/26.18 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_40_1, all_65_0, e1,
% 172.25/26.18 | | | | | | | | | | | | | | | | e3, simplifying with (4916), (4921) gives:
% 172.25/26.18 | | | | | | | | | | | | | | | | (4928) all_65_0 = all_40_1
% 172.25/26.18 | | | | | | | | | | | | | | | |
% 172.25/26.18 | | | | | | | | | | | | | | | | COMBINE_EQS: (4927), (4928) imply:
% 172.25/26.18 | | | | | | | | | | | | | | | | (4929) all_61_8 = all_40_1
% 172.25/26.18 | | | | | | | | | | | | | | | |
% 172.25/26.18 | | | | | | | | | | | | | | | | SIMP: (4929) implies:
% 172.25/26.18 | | | | | | | | | | | | | | | | (4930) all_61_8 = all_40_1
% 172.25/26.18 | | | | | | | | | | | | | | | |
% 172.25/26.18 | | | | | | | | | | | | | | | | COMBINE_EQS: (4924), (4925) imply:
% 172.25/26.18 | | | | | | | | | | | | | | | | (4931) all_61_11 = all_61_14
% 172.25/26.18 | | | | | | | | | | | | | | | |
% 172.25/26.18 | | | | | | | | | | | | | | | | SIMP: (4931) implies:
% 172.25/26.18 | | | | | | | | | | | | | | | | (4932) all_61_11 = all_61_14
% 172.25/26.18 | | | | | | | | | | | | | | | |
% 172.25/26.18 | | | | | | | | | | | | | | | | REDUCE: (201), (4930) imply:
% 172.25/26.18 | | | | | | | | | | | | | | | | (4933) ~ (all_61_4 = all_40_1)
% 172.25/26.18 | | | | | | | | | | | | | | | |
% 172.25/26.18 | | | | | | | | | | | | | | | | REDUCE: (4895), (4930) imply:
% 172.25/26.18 | | | | | | | | | | | | | | | | (4934) ~ (all_40_1 = all_28_1)
% 172.25/26.18 | | | | | | | | | | | | | | | |
% 172.25/26.18 | | | | | | | | | | | | | | | | REDUCE: (4893), (4932) imply:
% 172.25/26.18 | | | | | | | | | | | | | | | | (4935) ~ (all_61_14 = all_28_1)
% 172.25/26.18 | | | | | | | | | | | | | | | |
% 172.25/26.18 | | | | | | | | | | | | | | | | REDUCE: (4349), (4930) imply:
% 172.25/26.18 | | | | | | | | | | | | | | | | (4936) op(all_61_4, e2) = all_40_1
% 172.25/26.18 | | | | | | | | | | | | | | | |
% 172.25/26.18 | | | | | | | | | | | | | | | | REDUCE: (4352), (4932) imply:
% 172.25/26.18 | | | | | | | | | | | | | | | | (4937) op(all_61_7, e2) = all_61_14
% 172.25/26.18 | | | | | | | | | | | | | | | |
% 172.25/26.18 | | | | | | | | | | | | | | | | BETA: splitting (161) gives:
% 172.25/26.18 | | | | | | | | | | | | | | | |
% 172.25/26.18 | | | | | | | | | | | | | | | | Case 1:
% 172.25/26.18 | | | | | | | | | | | | | | | | |
% 172.25/26.18 | | | | | | | | | | | | | | | | | (4938) ~ (all_58_2 = e2)
% 172.25/26.18 | | | | | | | | | | | | | | | | |
% 172.25/26.18 | | | | | | | | | | | | | | | | | REDUCE: (478), (4938) imply:
% 172.25/26.18 | | | | | | | | | | | | | | | | | (4939) ~ (all_52_2 = e2)
% 172.25/26.18 | | | | | | | | | | | | | | | | |
% 172.25/26.18 | | | | | | | | | | | | | | | | | BETA: splitting (164) gives:
% 172.25/26.18 | | | | | | | | | | | | | | | | |
% 172.25/26.18 | | | | | | | | | | | | | | | | | Case 1:
% 172.25/26.18 | | | | | | | | | | | | | | | | | |
% 172.25/26.18 | | | | | | | | | | | | | | | | | | (4940) ~ (all_58_1 = e1)
% 172.25/26.18 | | | | | | | | | | | | | | | | | |
% 172.25/26.18 | | | | | | | | | | | | | | | | | | REDUCE: (481), (4940) imply:
% 172.25/26.18 | | | | | | | | | | | | | | | | | | (4941) ~ (all_52_1 = e1)
% 172.25/26.18 | | | | | | | | | | | | | | | | | |
% 172.25/26.18 | | | | | | | | | | | | | | | | | | BETA: splitting (158) gives:
% 172.25/26.18 | | | | | | | | | | | | | | | | | |
% 172.25/26.18 | | | | | | | | | | | | | | | | | | Case 1:
% 172.25/26.18 | | | | | | | | | | | | | | | | | | |
% 172.25/26.18 | | | | | | | | | | | | | | | | | | | (4942) ~ (all_58_3 = e2)
% 172.25/26.18 | | | | | | | | | | | | | | | | | | |
% 172.25/26.18 | | | | | | | | | | | | | | | | | | | REDUCE: (475), (4942) imply:
% 172.25/26.18 | | | | | | | | | | | | | | | | | | | (4943) ~ (all_52_3 = e2)
% 172.25/26.18 | | | | | | | | | | | | | | | | | | |
% 172.25/26.18 | | | | | | | | | | | | | | | | | | | BETA: splitting (163) gives:
% 172.25/26.18 | | | | | | | | | | | | | | | | | | |
% 172.25/26.18 | | | | | | | | | | | | | | | | | | | Case 1:
% 172.25/26.18 | | | | | | | | | | | | | | | | | | | |
% 172.25/26.18 | | | | | | | | | | | | | | | | | | | | (4944) ~ (all_58_1 = e0)
% 172.25/26.18 | | | | | | | | | | | | | | | | | | | |
% 172.25/26.18 | | | | | | | | | | | | | | | | | | | | REDUCE: (481), (4944) imply:
% 172.25/26.18 | | | | | | | | | | | | | | | | | | | | (4945) ~ (all_52_1 = e0)
% 172.25/26.18 | | | | | | | | | | | | | | | | | | | |
% 172.25/26.18 | | | | | | | | | | | | | | | | | | | | BETA: splitting (165) gives:
% 172.25/26.18 | | | | | | | | | | | | | | | | | | | |
% 172.25/26.18 | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.25/26.18 | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.18 | | | | | | | | | | | | | | | | | | | | | (4946) ~ (all_58_1 = e3)
% 172.25/26.18 | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.18 | | | | | | | | | | | | | | | | | | | | | REDUCE: (481), (4946) imply:
% 172.25/26.18 | | | | | | | | | | | | | | | | | | | | | (4947) ~ (all_52_1 = e3)
% 172.25/26.18 | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.18 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (150) gives:
% 172.25/26.18 | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.18 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.25/26.18 | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.18 | | | | | | | | | | | | | | | | | | | | | | (4948) all_56_1 = e3
% 172.25/26.18 | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.18 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (536), (4947), (4948) are inconsistent by
% 172.25/26.18 | | | | | | | | | | | | | | | | | | | | | | sub-proof #455.
% 172.25/26.18 | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.18 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.25/26.18 | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.18 | | | | | | | | | | | | | | | | | | | | | | (4949) all_56_1 = e2 | all_56_1 = e1 | all_56_1 = e0
% 172.25/26.18 | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.18 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4949) gives:
% 172.25/26.18 | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.18 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.25/26.18 | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.18 | | | | | | | | | | | | | | | | | | | | | | | (4950) all_56_1 = e2
% 172.25/26.18 | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.18 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (536), (4950) imply:
% 172.25/26.18 | | | | | | | | | | | | | | | | | | | | | | | (4951) all_52_1 = e2
% 172.25/26.18 | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.18 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4951) implies:
% 172.25/26.18 | | | | | | | | | | | | | | | | | | | | | | | (4952) all_52_1 = e2
% 172.25/26.18 | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.18 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (731), (4952) imply:
% 172.25/26.18 | | | | | | | | | | | | | | | | | | | | | | | (4953) op(e2, e2) = unit
% 172.25/26.18 | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.18 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e1, unit, e2, e2,
% 172.25/26.18 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (4309), (4953) gives:
% 172.25/26.18 | | | | | | | | | | | | | | | | | | | | | | | (4954) unit = e1
% 172.25/26.18 | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.18 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (50), (177), (227), (264), (498),
% 172.25/26.18 | | | | | | | | | | | | | | | | | | | | | | | (4296), (4302), (4347), (4867), (4954) are
% 172.25/26.18 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #316.
% 172.25/26.18 | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.18 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.25/26.18 | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.18 | | | | | | | | | | | | | | | | | | | | | | | (4955) all_56_1 = e1 | all_56_1 = e0
% 172.25/26.18 | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.18 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (536), (4941), (4945), (4955) are inconsistent by
% 172.25/26.18 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #454.
% 172.25/26.18 | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.18 | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.25/26.18 | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.18 | | | | | | | | | | | | | | | | | | | | | End of split
% 172.25/26.18 | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.18 | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.25/26.18 | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.18 | | | | | | | | | | | | | | | | | | | | | (4956) all_58_1 = e3
% 172.25/26.18 | | | | | | | | | | | | | | | | | | | | | (4957) all_58_0 = e2
% 172.25/26.18 | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.18 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (484), (4957) imply:
% 172.25/26.18 | | | | | | | | | | | | | | | | | | | | | (4958) all_52_0 = e2
% 172.25/26.18 | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.18 | | | | | | | | | | | | | | | | | | | | | SIMP: (4958) implies:
% 172.25/26.18 | | | | | | | | | | | | | | | | | | | | | (4959) all_52_0 = e2
% 172.25/26.18 | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.18 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (481), (4956) imply:
% 172.25/26.18 | | | | | | | | | | | | | | | | | | | | | (4960) all_52_1 = e3
% 172.25/26.18 | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.18 | | | | | | | | | | | | | | | | | | | | | SIMP: (4960) implies:
% 172.25/26.18 | | | | | | | | | | | | | | | | | | | | | (4961) all_52_1 = e3
% 172.25/26.18 | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.18 | | | | | | | | | | | | | | | | | | | | | REDUCE: (714), (4959) imply:
% 172.25/26.18 | | | | | | | | | | | | | | | | | | | | | (4962) op(e3, e2) = unit
% 172.25/26.18 | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.18 | | | | | | | | | | | | | | | | | | | | | REDUCE: (731), (4961) imply:
% 172.25/26.18 | | | | | | | | | | | | | | | | | | | | | (4963) op(e2, e3) = unit
% 172.25/26.18 | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.18 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_1, unit, e3, e2,
% 172.25/26.18 | | | | | | | | | | | | | | | | | | | | | simplifying with (234), (4963) gives:
% 172.25/26.18 | | | | | | | | | | | | | | | | | | | | | (4964) all_61_1 = unit
% 172.25/26.18 | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.18 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_4, unit, e2, e3,
% 172.25/26.18 | | | | | | | | | | | | | | | | | | | | | simplifying with (237), (4962) gives:
% 172.25/26.18 | | | | | | | | | | | | | | | | | | | | | (4965) all_61_4 = unit
% 172.25/26.18 | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.18 | | | | | | | | | | | | | | | | | | | | | REDUCE: (4933), (4965) imply:
% 172.25/26.18 | | | | | | | | | | | | | | | | | | | | | (4966) ~ (all_40_1 = unit)
% 172.25/26.18 | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.18 | | | | | | | | | | | | | | | | | | | | | SIMP: (4966) implies:
% 172.25/26.18 | | | | | | | | | | | | | | | | | | | | | (4967) ~ (all_40_1 = unit)
% 172.25/26.18 | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.18 | | | | | | | | | | | | | | | | | | | | | REDUCE: (4894), (4965) imply:
% 172.25/26.18 | | | | | | | | | | | | | | | | | | | | | (4968) ~ (all_28_1 = unit)
% 172.25/26.18 | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.18 | | | | | | | | | | | | | | | | | | | | | SIMP: (4968) implies:
% 172.25/26.18 | | | | | | | | | | | | | | | | | | | | | (4969) ~ (all_28_1 = unit)
% 172.25/26.18 | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.18 | | | | | | | | | | | | | | | | | | | | | REDUCE: (4300), (4965) imply:
% 172.25/26.18 | | | | | | | | | | | | | | | | | | | | | (4970) ~ (unit = e1)
% 172.25/26.18 | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.18 | | | | | | | | | | | | | | | | | | | | | REDUCE: (651), (4964) imply:
% 172.25/26.18 | | | | | | | | | | | | | | | | | | | | | (4971) op(unit, e2) = all_65_17
% 172.25/26.18 | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.18 | | | | | | | | | | | | | | | | | | | | | REDUCE: (4936), (4965) imply:
% 172.25/26.18 | | | | | | | | | | | | | | | | | | | | | (4972) op(unit, e2) = all_40_1
% 172.25/26.18 | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.18 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e2, all_65_17, e2, unit,
% 172.25/26.18 | | | | | | | | | | | | | | | | | | | | | simplifying with (9), (4971) gives:
% 172.25/26.18 | | | | | | | | | | | | | | | | | | | | | (4973) all_65_17 = e2
% 172.25/26.18 | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.18 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_40_1, all_65_17, e2,
% 172.25/26.18 | | | | | | | | | | | | | | | | | | | | | unit, simplifying with (4971), (4972) gives:
% 172.25/26.18 | | | | | | | | | | | | | | | | | | | | | (4974) all_65_17 = all_40_1
% 172.25/26.18 | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.18 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4973), (4974) imply:
% 172.25/26.18 | | | | | | | | | | | | | | | | | | | | | (4975) all_40_1 = e2
% 172.25/26.18 | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.18 | | | | | | | | | | | | | | | | | | | | | SIMP: (4975) implies:
% 172.25/26.18 | | | | | | | | | | | | | | | | | | | | | (4976) all_40_1 = e2
% 172.25/26.18 | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.18 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (268), (852), (4891), (4899), (4919), (4934),
% 172.25/26.18 | | | | | | | | | | | | | | | | | | | | | (4967), (4969), (4970), (4976) are inconsistent by
% 172.25/26.18 | | | | | | | | | | | | | | | | | | | | | sub-proof #314.
% 172.25/26.18 | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.18 | | | | | | | | | | | | | | | | | | | | End of split
% 172.25/26.18 | | | | | | | | | | | | | | | | | | | |
% 172.25/26.18 | | | | | | | | | | | | | | | | | | | Case 2:
% 172.25/26.18 | | | | | | | | | | | | | | | | | | | |
% 172.25/26.18 | | | | | | | | | | | | | | | | | | | | (4977) all_58_3 = e2
% 172.25/26.18 | | | | | | | | | | | | | | | | | | | |
% 172.25/26.18 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (475), (4943), (4977) are inconsistent by
% 172.25/26.18 | | | | | | | | | | | | | | | | | | | | sub-proof #459.
% 172.25/26.18 | | | | | | | | | | | | | | | | | | | |
% 172.25/26.18 | | | | | | | | | | | | | | | | | | | End of split
% 172.25/26.18 | | | | | | | | | | | | | | | | | | |
% 172.25/26.18 | | | | | | | | | | | | | | | | | | Case 2:
% 172.25/26.18 | | | | | | | | | | | | | | | | | | |
% 172.25/26.18 | | | | | | | | | | | | | | | | | | | (4978) all_58_3 = e2
% 172.25/26.18 | | | | | | | | | | | | | | | | | | | (4979) all_58_1 = e0
% 172.25/26.18 | | | | | | | | | | | | | | | | | | |
% 172.25/26.18 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (50), (177), (225), (231), (268), (475),
% 172.25/26.18 | | | | | | | | | | | | | | | | | | | (481), (663), (731), (765), (852), (4302), (4891),
% 172.25/26.18 | | | | | | | | | | | | | | | | | | | (4897), (4899), (4919), (4935), (4937), (4978),
% 172.25/26.18 | | | | | | | | | | | | | | | | | | | (4979) are inconsistent by sub-proof #313.
% 172.25/26.18 | | | | | | | | | | | | | | | | | | |
% 172.25/26.18 | | | | | | | | | | | | | | | | | | End of split
% 172.25/26.18 | | | | | | | | | | | | | | | | | |
% 172.25/26.18 | | | | | | | | | | | | | | | | | Case 2:
% 172.25/26.18 | | | | | | | | | | | | | | | | | |
% 172.25/26.18 | | | | | | | | | | | | | | | | | | (4980) all_58_2 = e2
% 172.25/26.18 | | | | | | | | | | | | | | | | | |
% 172.25/26.18 | | | | | | | | | | | | | | | | | | REF_CLOSE: (478), (4939), (4980) are inconsistent by
% 172.25/26.18 | | | | | | | | | | | | | | | | | | sub-proof #433.
% 172.25/26.18 | | | | | | | | | | | | | | | | | |
% 172.25/26.18 | | | | | | | | | | | | | | | | | End of split
% 172.25/26.18 | | | | | | | | | | | | | | | | |
% 172.25/26.18 | | | | | | | | | | | | | | | | Case 2:
% 172.25/26.18 | | | | | | | | | | | | | | | | |
% 172.25/26.18 | | | | | | | | | | | | | | | | | (4981) all_58_2 = e2
% 172.25/26.18 | | | | | | | | | | | | | | | | | (4982) all_58_1 = e1
% 172.25/26.18 | | | | | | | | | | | | | | | | |
% 172.25/26.18 | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (50), (478), (481), (631), (731), (4296),
% 172.25/26.18 | | | | | | | | | | | | | | | | | (4350), (4981), (4982) are inconsistent by
% 172.25/26.18 | | | | | | | | | | | | | | | | | sub-proof #321.
% 172.25/26.18 | | | | | | | | | | | | | | | | |
% 172.25/26.18 | | | | | | | | | | | | | | | | End of split
% 172.25/26.18 | | | | | | | | | | | | | | | |
% 172.25/26.18 | | | | | | | | | | | | | | | End of split
% 172.25/26.18 | | | | | | | | | | | | | | |
% 172.25/26.18 | | | | | | | | | | | | | | Case 2:
% 172.25/26.18 | | | | | | | | | | | | | | |
% 172.25/26.18 | | | | | | | | | | | | | | | (4983) all_36_2 = e0
% 172.25/26.18 | | | | | | | | | | | | | | |
% 172.25/26.18 | | | | | | | | | | | | | | | COMBINE_EQS: (557), (4983) imply:
% 172.25/26.18 | | | | | | | | | | | | | | | (4984) all_14_2 = e0
% 172.25/26.18 | | | | | | | | | | | | | | |
% 172.25/26.18 | | | | | | | | | | | | | | | REDUCE: (593), (4984) imply:
% 172.25/26.18 | | | | | | | | | | | | | | | (4985) ~ (all_61_1 = e0)
% 172.25/26.18 | | | | | | | | | | | | | | |
% 172.25/26.18 | | | | | | | | | | | | | | | REDUCE: (601), (4984) imply:
% 172.25/26.18 | | | | | | | | | | | | | | | (4986) ~ (all_61_8 = e0)
% 172.25/26.18 | | | | | | | | | | | | | | |
% 172.25/26.18 | | | | | | | | | | | | | | | REDUCE: (636), (4984) imply:
% 172.25/26.18 | | | | | | | | | | | | | | | (4987) op(e0, e1) = all_65_2
% 172.25/26.18 | | | | | | | | | | | | | | |
% 172.25/26.18 | | | | | | | | | | | | | | | REDUCE: (732), (4984) imply:
% 172.25/26.18 | | | | | | | | | | | | | | | (4988) op(e1, e0) = all_65_32
% 172.25/26.18 | | | | | | | | | | | | | | |
% 172.25/26.18 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_11, all_65_2, e1,
% 172.25/26.18 | | | | | | | | | | | | | | | e0, simplifying with (224), (4987) gives:
% 172.25/26.18 | | | | | | | | | | | | | | | (4989) all_65_2 = all_61_11
% 172.25/26.18 | | | | | | | | | | | | | | |
% 172.25/26.18 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_14, all_65_32, e0,
% 172.25/26.18 | | | | | | | | | | | | | | | e1, simplifying with (227), (4988) gives:
% 172.25/26.18 | | | | | | | | | | | | | | | (4990) all_65_32 = all_61_14
% 172.25/26.18 | | | | | | | | | | | | | | |
% 172.25/26.18 | | | | | | | | | | | | | | | BETA: splitting (161) gives:
% 172.25/26.18 | | | | | | | | | | | | | | |
% 172.25/26.18 | | | | | | | | | | | | | | | Case 1:
% 172.25/26.18 | | | | | | | | | | | | | | | |
% 172.25/26.18 | | | | | | | | | | | | | | | | (4991) ~ (all_58_2 = e2)
% 172.25/26.18 | | | | | | | | | | | | | | | |
% 172.25/26.18 | | | | | | | | | | | | | | | | REDUCE: (478), (4991) imply:
% 172.25/26.18 | | | | | | | | | | | | | | | | (4992) ~ (all_52_2 = e2)
% 172.25/26.19 | | | | | | | | | | | | | | | |
% 172.25/26.19 | | | | | | | | | | | | | | | | BETA: splitting (157) gives:
% 172.25/26.19 | | | | | | | | | | | | | | | |
% 172.25/26.19 | | | | | | | | | | | | | | | | Case 1:
% 172.25/26.19 | | | | | | | | | | | | | | | | |
% 172.25/26.19 | | | | | | | | | | | | | | | | | (4993) ~ (all_58_3 = e1)
% 172.25/26.19 | | | | | | | | | | | | | | | | |
% 172.25/26.19 | | | | | | | | | | | | | | | | | REDUCE: (475), (4993) imply:
% 172.25/26.19 | | | | | | | | | | | | | | | | | (4994) ~ (all_52_3 = e1)
% 172.25/26.19 | | | | | | | | | | | | | | | | |
% 172.25/26.19 | | | | | | | | | | | | | | | | | BETA: splitting (160) gives:
% 172.25/26.19 | | | | | | | | | | | | | | | | |
% 172.25/26.19 | | | | | | | | | | | | | | | | | Case 1:
% 172.25/26.19 | | | | | | | | | | | | | | | | | |
% 172.25/26.19 | | | | | | | | | | | | | | | | | | (4995) ~ (all_58_2 = e0)
% 172.25/26.19 | | | | | | | | | | | | | | | | | |
% 172.25/26.19 | | | | | | | | | | | | | | | | | | REDUCE: (478), (4995) imply:
% 172.25/26.19 | | | | | | | | | | | | | | | | | | (4996) ~ (all_52_2 = e0)
% 172.25/26.19 | | | | | | | | | | | | | | | | | |
% 172.25/26.19 | | | | | | | | | | | | | | | | | | BETA: splitting (162) gives:
% 172.25/26.19 | | | | | | | | | | | | | | | | | |
% 172.25/26.19 | | | | | | | | | | | | | | | | | | Case 1:
% 172.25/26.19 | | | | | | | | | | | | | | | | | | |
% 172.25/26.19 | | | | | | | | | | | | | | | | | | | (4997) ~ (all_58_2 = e3)
% 172.25/26.19 | | | | | | | | | | | | | | | | | | |
% 172.25/26.19 | | | | | | | | | | | | | | | | | | | REDUCE: (478), (4997) imply:
% 172.25/26.19 | | | | | | | | | | | | | | | | | | | (4998) ~ (all_52_2 = e3)
% 172.25/26.19 | | | | | | | | | | | | | | | | | | |
% 172.25/26.19 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (50), (149), (177), (227), (264), (498),
% 172.25/26.19 | | | | | | | | | | | | | | | | | | | (538), (748), (876), (4296), (4302), (4347),
% 172.25/26.19 | | | | | | | | | | | | | | | | | | | (4867), (4992), (4996), (4998) are inconsistent by
% 172.25/26.19 | | | | | | | | | | | | | | | | | | | sub-proof #312.
% 172.25/26.19 | | | | | | | | | | | | | | | | | | |
% 172.25/26.19 | | | | | | | | | | | | | | | | | | Case 2:
% 172.25/26.19 | | | | | | | | | | | | | | | | | | |
% 172.25/26.19 | | | | | | | | | | | | | | | | | | | (4999) all_58_2 = e3
% 172.25/26.19 | | | | | | | | | | | | | | | | | | | (5000) all_58_0 = e1
% 172.25/26.19 | | | | | | | | | | | | | | | | | | |
% 172.25/26.19 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (484), (5000) imply:
% 172.25/26.19 | | | | | | | | | | | | | | | | | | | (5001) all_52_0 = e1
% 172.25/26.19 | | | | | | | | | | | | | | | | | | |
% 172.25/26.19 | | | | | | | | | | | | | | | | | | | SIMP: (5001) implies:
% 172.25/26.19 | | | | | | | | | | | | | | | | | | | (5002) all_52_0 = e1
% 172.25/26.19 | | | | | | | | | | | | | | | | | | |
% 172.25/26.19 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (478), (4999) imply:
% 172.25/26.19 | | | | | | | | | | | | | | | | | | | (5003) all_52_2 = e3
% 172.25/26.19 | | | | | | | | | | | | | | | | | | |
% 172.25/26.19 | | | | | | | | | | | | | | | | | | | REDUCE: (714), (5002) imply:
% 172.25/26.19 | | | | | | | | | | | | | | | | | | | (5004) op(e3, e1) = unit
% 172.25/26.19 | | | | | | | | | | | | | | | | | | |
% 172.25/26.19 | | | | | | | | | | | | | | | | | | | REDUCE: (748), (5003) imply:
% 172.25/26.19 | | | | | | | | | | | | | | | | | | | (5005) op(e1, e3) = unit
% 172.25/26.19 | | | | | | | | | | | | | | | | | | |
% 172.25/26.19 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_2, unit, e3, e1,
% 172.25/26.19 | | | | | | | | | | | | | | | | | | | simplifying with (230), (5005) gives:
% 172.25/26.19 | | | | | | | | | | | | | | | | | | | (5006) all_61_2 = unit
% 172.25/26.19 | | | | | | | | | | | | | | | | | | |
% 172.25/26.19 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_8, unit, e1, e3,
% 172.25/26.19 | | | | | | | | | | | | | | | | | | | simplifying with (236), (5004) gives:
% 172.25/26.19 | | | | | | | | | | | | | | | | | | | (5007) all_61_8 = unit
% 172.25/26.19 | | | | | | | | | | | | | | | | | | |
% 172.25/26.19 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (489), (5007) imply:
% 172.25/26.19 | | | | | | | | | | | | | | | | | | | (5008) all_63_2 = unit
% 172.25/26.19 | | | | | | | | | | | | | | | | | | |
% 172.25/26.19 | | | | | | | | | | | | | | | | | | | REDUCE: (216), (5006) imply:
% 172.25/26.19 | | | | | | | | | | | | | | | | | | | (5009) ~ (all_61_1 = unit)
% 172.25/26.19 | | | | | | | | | | | | | | | | | | |
% 172.25/26.19 | | | | | | | | | | | | | | | | | | | REDUCE: (208), (5006) imply:
% 172.25/26.19 | | | | | | | | | | | | | | | | | | | (5010) ~ (all_61_14 = unit)
% 172.25/26.19 | | | | | | | | | | | | | | | | | | |
% 172.25/26.19 | | | | | | | | | | | | | | | | | | | SIMP: (5010) implies:
% 172.25/26.19 | | | | | | | | | | | | | | | | | | | (5011) ~ (all_61_14 = unit)
% 172.25/26.19 | | | | | | | | | | | | | | | | | | |
% 172.25/26.19 | | | | | | | | | | | | | | | | | | | REDUCE: (4343), (5007) imply:
% 172.25/26.19 | | | | | | | | | | | | | | | | | | | (5012) ~ (all_12_1 = unit)
% 172.25/26.19 | | | | | | | | | | | | | | | | | | |
% 172.25/26.19 | | | | | | | | | | | | | | | | | | | SIMP: (5012) implies:
% 172.25/26.19 | | | | | | | | | | | | | | | | | | | (5013) ~ (all_12_1 = unit)
% 172.25/26.19 | | | | | | | | | | | | | | | | | | |
% 172.25/26.19 | | | | | | | | | | | | | | | | | | | BETA: splitting (269) gives:
% 172.25/26.19 | | | | | | | | | | | | | | | | | | |
% 172.25/26.19 | | | | | | | | | | | | | | | | | | | Case 1:
% 172.25/26.19 | | | | | | | | | | | | | | | | | | | |
% 172.25/26.19 | | | | | | | | | | | | | | | | | | | | (5014) all_63_2 = e3
% 172.25/26.19 | | | | | | | | | | | | | | | | | | | |
% 172.25/26.19 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5008), (5014) imply:
% 172.25/26.19 | | | | | | | | | | | | | | | | | | | | (5015) unit = e3
% 172.25/26.19 | | | | | | | | | | | | | | | | | | | |
% 172.25/26.19 | | | | | | | | | | | | | | | | | | | | REDUCE: (851), (5015) imply:
% 172.25/26.19 | | | | | | | | | | | | | | | | | | | | (5016) $false
% 172.25/26.19 | | | | | | | | | | | | | | | | | | | |
% 172.25/26.19 | | | | | | | | | | | | | | | | | | | | CLOSE: (5016) is inconsistent.
% 172.25/26.19 | | | | | | | | | | | | | | | | | | | |
% 172.25/26.19 | | | | | | | | | | | | | | | | | | | Case 2:
% 172.25/26.19 | | | | | | | | | | | | | | | | | | | |
% 172.25/26.19 | | | | | | | | | | | | | | | | | | | | (5017) all_63_2 = e2 | all_63_2 = e1 | all_63_2 = e0
% 172.25/26.19 | | | | | | | | | | | | | | | | | | | |
% 172.25/26.19 | | | | | | | | | | | | | | | | | | | | BETA: splitting (5017) gives:
% 172.25/26.19 | | | | | | | | | | | | | | | | | | | |
% 172.25/26.19 | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.25/26.19 | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.19 | | | | | | | | | | | | | | | | | | | | | (5018) all_63_2 = e2
% 172.25/26.19 | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.19 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5008), (5018) imply:
% 172.25/26.19 | | | | | | | | | | | | | | | | | | | | | (5019) unit = e2
% 172.25/26.19 | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.19 | | | | | | | | | | | | | | | | | | | | | REDUCE: (5009), (5019) imply:
% 172.25/26.19 | | | | | | | | | | | | | | | | | | | | | (5020) ~ (all_61_1 = e2)
% 172.25/26.19 | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.19 | | | | | | | | | | | | | | | | | | | | | REDUCE: (5011), (5019) imply:
% 172.25/26.19 | | | | | | | | | | | | | | | | | | | | | (5021) ~ (all_61_14 = e2)
% 172.25/26.19 | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.19 | | | | | | | | | | | | | | | | | | | | | REDUCE: (5013), (5019) imply:
% 172.25/26.19 | | | | | | | | | | | | | | | | | | | | | (5022) ~ (all_12_1 = e2)
% 172.25/26.19 | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.19 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (267) gives:
% 172.25/26.19 | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.19 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.25/26.19 | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.19 | | | | | | | | | | | | | | | | | | | | | | (5023) all_63_4 = e3
% 172.25/26.19 | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.19 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (493), (5023) imply:
% 172.25/26.19 | | | | | | | | | | | | | | | | | | | | | | (5024) all_61_1 = e3
% 172.25/26.19 | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.19 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4336), (5024) imply:
% 172.25/26.19 | | | | | | | | | | | | | | | | | | | | | | (5025) ~ (all_12_1 = e3)
% 172.25/26.19 | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.19 | | | | | | | | | | | | | | | | | | | | | | SIMP: (5025) implies:
% 172.25/26.19 | | | | | | | | | | | | | | | | | | | | | | (5026) ~ (all_12_1 = e3)
% 172.25/26.19 | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.19 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (262) gives:
% 172.25/26.19 | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.19 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.25/26.19 | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.19 | | | | | | | | | | | | | | | | | | | | | | | (5027) all_63_9 = e3
% 172.25/26.19 | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.19 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4334), (5027) imply:
% 172.25/26.19 | | | | | | | | | | | | | | | | | | | | | | | (5028) all_12_1 = e3
% 172.25/26.19 | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.19 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5026), (5028) imply:
% 172.25/26.19 | | | | | | | | | | | | | | | | | | | | | | | (5029) $false
% 172.25/26.19 | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.19 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5029) is inconsistent.
% 172.25/26.19 | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.19 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.25/26.19 | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.19 | | | | | | | | | | | | | | | | | | | | | | | (5030) all_63_9 = e2 | all_63_9 = e1 | all_63_9 = e0
% 172.25/26.19 | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.19 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (260) gives:
% 172.25/26.19 | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.19 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.25/26.19 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.19 | | | | | | | | | | | | | | | | | | | | | | | | (5031) all_63_11 = e3
% 172.25/26.19 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.19 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (505), (5031) imply:
% 172.25/26.19 | | | | | | | | | | | | | | | | | | | | | | | | (5032) all_61_14 = e3
% 172.25/26.19 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.19 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5032) implies:
% 172.25/26.19 | | | | | | | | | | | | | | | | | | | | | | | | (5033) all_61_14 = e3
% 172.25/26.19 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.19 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4868), (5033) imply:
% 172.25/26.19 | | | | | | | | | | | | | | | | | | | | | | | | (5034) $false
% 172.25/26.19 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.19 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5034) is inconsistent.
% 172.25/26.19 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.19 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.25/26.19 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.19 | | | | | | | | | | | | | | | | | | | | | | | | (5035) all_63_11 = e2 | all_63_11 = e1 | all_63_11 = e0
% 172.25/26.19 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.19 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (505), (868), (4334), (4342), (4348), (5021),
% 172.25/26.19 | | | | | | | | | | | | | | | | | | | | | | | | (5022), (5030), (5035) are inconsistent by
% 172.25/26.19 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #311.
% 172.25/26.19 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.19 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.25/26.19 | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.19 | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.25/26.19 | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.19 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.25/26.19 | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.19 | | | | | | | | | | | | | | | | | | | | | | (5036) all_63_4 = e2 | all_63_4 = e1 | all_63_4 = e0
% 172.25/26.19 | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.19 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (493), (4299), (4985), (5020), (5036) are
% 172.25/26.19 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #471.
% 172.25/26.19 | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.19 | | | | | | | | | | | | | | | | | | | | | End of split
% 172.25/26.19 | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.19 | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.25/26.19 | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.19 | | | | | | | | | | | | | | | | | | | | | (5037) all_63_2 = e1 | all_63_2 = e0
% 172.25/26.19 | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.19 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (489), (865), (4986), (5037) are inconsistent by
% 172.25/26.19 | | | | | | | | | | | | | | | | | | | | | sub-proof #402.
% 172.25/26.19 | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.19 | | | | | | | | | | | | | | | | | | | | End of split
% 172.25/26.19 | | | | | | | | | | | | | | | | | | | |
% 172.25/26.19 | | | | | | | | | | | | | | | | | | | End of split
% 172.25/26.19 | | | | | | | | | | | | | | | | | | |
% 172.25/26.19 | | | | | | | | | | | | | | | | | | End of split
% 172.25/26.19 | | | | | | | | | | | | | | | | | |
% 172.25/26.19 | | | | | | | | | | | | | | | | | Case 2:
% 172.25/26.19 | | | | | | | | | | | | | | | | | |
% 172.25/26.19 | | | | | | | | | | | | | | | | | | (5038) all_58_3 = e1
% 172.25/26.19 | | | | | | | | | | | | | | | | | |
% 172.25/26.19 | | | | | | | | | | | | | | | | | | REF_CLOSE: (475), (4994), (5038) are inconsistent by
% 172.25/26.19 | | | | | | | | | | | | | | | | | | sub-proof #460.
% 172.25/26.19 | | | | | | | | | | | | | | | | | |
% 172.25/26.19 | | | | | | | | | | | | | | | | | End of split
% 172.25/26.19 | | | | | | | | | | | | | | | | |
% 172.25/26.19 | | | | | | | | | | | | | | | | Case 2:
% 172.25/26.19 | | | | | | | | | | | | | | | | |
% 172.25/26.19 | | | | | | | | | | | | | | | | | (5039) all_58_3 = e1
% 172.25/26.19 | | | | | | | | | | | | | | | | | (5040) all_58_2 = e0
% 172.25/26.19 | | | | | | | | | | | | | | | | |
% 172.25/26.19 | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (50), (224), (227), (475), (478), (693),
% 172.25/26.19 | | | | | | | | | | | | | | | | | (748), (760), (765), (4902), (4905), (4986),
% 172.25/26.19 | | | | | | | | | | | | | | | | | (5039), (5040) are inconsistent by sub-proof #425.
% 172.25/26.19 | | | | | | | | | | | | | | | | |
% 172.25/26.19 | | | | | | | | | | | | | | | | End of split
% 172.25/26.19 | | | | | | | | | | | | | | | |
% 172.25/26.19 | | | | | | | | | | | | | | | Case 2:
% 172.25/26.19 | | | | | | | | | | | | | | | |
% 172.25/26.19 | | | | | | | | | | | | | | | | (5041) all_58_2 = e2
% 172.25/26.19 | | | | | | | | | | | | | | | | (5042) all_58_1 = e1
% 172.25/26.19 | | | | | | | | | | | | | | | |
% 172.25/26.19 | | | | | | | | | | | | | | | | REF_CLOSE: (9), (50), (478), (481), (631), (731), (4296),
% 172.25/26.19 | | | | | | | | | | | | | | | | (4350), (5041), (5042) are inconsistent by
% 172.25/26.19 | | | | | | | | | | | | | | | | sub-proof #310.
% 172.25/26.19 | | | | | | | | | | | | | | | |
% 172.25/26.19 | | | | | | | | | | | | | | | End of split
% 172.25/26.19 | | | | | | | | | | | | | | |
% 172.25/26.19 | | | | | | | | | | | | | | End of split
% 172.25/26.19 | | | | | | | | | | | | | |
% 172.25/26.19 | | | | | | | | | | | | | End of split
% 172.25/26.19 | | | | | | | | | | | | |
% 172.25/26.19 | | | | | | | | | | | | Case 2:
% 172.25/26.19 | | | | | | | | | | | | |
% 172.25/26.19 | | | | | | | | | | | | | (5043) all_20_2 = e2
% 172.25/26.19 | | | | | | | | | | | | | (5044) op(e0, e2) = all_20_1 & $i(all_20_1) & ( ~
% 172.25/26.19 | | | | | | | | | | | | | (all_20_1 = e1) | ( ~ (all_20_0 = e3) & op(e1,
% 172.25/26.19 | | | | | | | | | | | | | e0) = all_20_0 & $i(all_20_0)))
% 172.25/26.19 | | | | | | | | | | | | |
% 172.25/26.19 | | | | | | | | | | | | | ALPHA: (5044) implies:
% 172.25/26.19 | | | | | | | | | | | | | (5045) op(e0, e2) = all_20_1
% 172.25/26.19 | | | | | | | | | | | | |
% 172.25/26.19 | | | | | | | | | | | | | REDUCE: (606), (5043) imply:
% 172.25/26.19 | | | | | | | | | | | | | (5046) ~ (all_61_3 = e2)
% 172.25/26.19 | | | | | | | | | | | | |
% 172.25/26.19 | | | | | | | | | | | | | REDUCE: (624), (5043) imply:
% 172.25/26.19 | | | | | | | | | | | | | (5047) ~ (all_61_11 = e2)
% 172.25/26.19 | | | | | | | | | | | | |
% 172.25/26.19 | | | | | | | | | | | | | REDUCE: (626), (5043) imply:
% 172.25/26.19 | | | | | | | | | | | | | (5048) ~ (all_61_13 = e2)
% 172.25/26.19 | | | | | | | | | | | | |
% 172.25/26.19 | | | | | | | | | | | | | REDUCE: (694), (5043) imply:
% 172.25/26.19 | | | | | | | | | | | | | (5049) op(e2, e3) = all_65_73
% 172.25/26.19 | | | | | | | | | | | | |
% 172.25/26.19 | | | | | | | | | | | | | REDUCE: (695), (5043) imply:
% 172.25/26.19 | | | | | | | | | | | | | (5050) op(e2, e2) = all_65_75
% 172.25/26.19 | | | | | | | | | | | | |
% 172.25/26.19 | | | | | | | | | | | | | REDUCE: (696), (5043) imply:
% 172.25/26.19 | | | | | | | | | | | | | (5051) op(e2, e1) = all_65_77
% 172.25/26.19 | | | | | | | | | | | | |
% 172.25/26.19 | | | | | | | | | | | | | REDUCE: (697), (5043) imply:
% 172.25/26.19 | | | | | | | | | | | | | (5052) op(e2, e0) = all_65_78
% 172.25/26.19 | | | | | | | | | | | | |
% 172.25/26.19 | | | | | | | | | | | | | REDUCE: (713), (5043) imply:
% 172.25/26.19 | | | | | | | | | | | | | (5053) op(e3, e2) = all_65_15
% 172.25/26.19 | | | | | | | | | | | | |
% 172.25/26.19 | | | | | | | | | | | | | REDUCE: (730), (5043) imply:
% 172.25/26.19 | | | | | | | | | | | | | (5054) op(e2, e2) = all_65_31
% 172.25/26.19 | | | | | | | | | | | | |
% 172.25/26.19 | | | | | | | | | | | | | REDUCE: (764), (5043) imply:
% 172.25/26.19 | | | | | | | | | | | | | (5055) op(e0, e2) = all_65_78
% 172.25/26.19 | | | | | | | | | | | | |
% 172.25/26.19 | | | | | | | | | | | | | REDUCE: (76), (5043) imply:
% 172.25/26.19 | | | | | | | | | | | | | (5056) op(e0, e0) = e2
% 172.25/26.19 | | | | | | | | | | | | |
% 172.25/26.19 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_7, all_20_1, e2,
% 172.25/26.19 | | | | | | | | | | | | | e0, simplifying with (225), (5045) gives:
% 172.25/26.19 | | | | | | | | | | | | | (5057) all_61_7 = all_20_1
% 172.25/26.19 | | | | | | | | | | | | |
% 172.25/26.19 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_7, all_65_78, e2,
% 172.25/26.19 | | | | | | | | | | | | | e0, simplifying with (225), (5055) gives:
% 172.25/26.19 | | | | | | | | | | | | | (5058) all_65_78 = all_61_7
% 172.25/26.19 | | | | | | | | | | | | |
% 172.25/26.19 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_13, all_65_78, e0,
% 172.25/26.19 | | | | | | | | | | | | | e2, simplifying with (231), (5052) gives:
% 172.25/26.19 | | | | | | | | | | | | | (5059) all_65_78 = all_61_13
% 172.25/26.19 | | | | | | | | | | | | |
% 172.25/26.19 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_12_1, all_65_77, e1,
% 172.25/26.19 | | | | | | | | | | | | | e2, simplifying with (4296), (5051) gives:
% 172.25/26.19 | | | | | | | | | | | | | (5060) all_65_77 = all_12_1
% 172.25/26.19 | | | | | | | | | | | | |
% 172.25/26.19 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e1, all_65_31, e2, e2,
% 172.25/26.19 | | | | | | | | | | | | | simplifying with (4309), (5054) gives:
% 172.25/26.19 | | | | | | | | | | | | | (5061) all_65_31 = e1
% 172.25/26.19 | | | | | | | | | | | | |
% 172.25/26.19 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_75, all_65_31, e2,
% 172.25/26.19 | | | | | | | | | | | | | e2, simplifying with (5050), (5054) gives:
% 172.25/26.19 | | | | | | | | | | | | | (5062) all_65_31 = all_65_75
% 172.25/26.19 | | | | | | | | | | | | |
% 172.25/26.19 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_1, all_65_73, e3,
% 172.25/26.19 | | | | | | | | | | | | | e2, simplifying with (234), (5049) gives:
% 172.25/26.19 | | | | | | | | | | | | | (5063) all_65_73 = all_61_1
% 172.25/26.19 | | | | | | | | | | | | |
% 172.25/26.19 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_4, all_65_15, e2,
% 172.25/26.19 | | | | | | | | | | | | | e3, simplifying with (237), (5053) gives:
% 172.25/26.19 | | | | | | | | | | | | | (5064) all_65_15 = all_61_4
% 172.25/26.19 | | | | | | | | | | | | |
% 172.25/26.19 | | | | | | | | | | | | | COMBINE_EQS: (5061), (5062) imply:
% 172.25/26.19 | | | | | | | | | | | | | (5065) all_65_75 = e1
% 172.25/26.19 | | | | | | | | | | | | |
% 172.25/26.19 | | | | | | | | | | | | | COMBINE_EQS: (5058), (5059) imply:
% 172.25/26.19 | | | | | | | | | | | | | (5066) all_61_7 = all_61_13
% 172.25/26.19 | | | | | | | | | | | | |
% 172.25/26.19 | | | | | | | | | | | | | SIMP: (5066) implies:
% 172.25/26.19 | | | | | | | | | | | | | (5067) all_61_7 = all_61_13
% 172.25/26.19 | | | | | | | | | | | | |
% 172.25/26.19 | | | | | | | | | | | | | COMBINE_EQS: (5057), (5067) imply:
% 172.25/26.19 | | | | | | | | | | | | | (5068) all_61_13 = all_20_1
% 172.25/26.19 | | | | | | | | | | | | |
% 172.25/26.19 | | | | | | | | | | | | | COMBINE_EQS: (508), (5057) imply:
% 172.25/26.19 | | | | | | | | | | | | | (5069) all_63_13 = all_20_1
% 172.25/26.19 | | | | | | | | | | | | |
% 172.25/26.19 | | | | | | | | | | | | | COMBINE_EQS: (498), (5068) imply:
% 172.25/26.19 | | | | | | | | | | | | | (5070) all_63_7 = all_20_1
% 172.25/26.19 | | | | | | | | | | | | |
% 172.25/26.19 | | | | | | | | | | | | | REDUCE: (212), (5068) imply:
% 172.25/26.19 | | | | | | | | | | | | | (5071) ~ (all_61_1 = all_20_1)
% 172.25/26.19 | | | | | | | | | | | | |
% 172.25/26.19 | | | | | | | | | | | | | REDUCE: (207), (5057) imply:
% 172.25/26.19 | | | | | | | | | | | | | (5072) ~ (all_61_3 = all_20_1)
% 172.25/26.19 | | | | | | | | | | | | |
% 172.25/26.19 | | | | | | | | | | | | | REDUCE: (192), (5057) imply:
% 172.25/26.19 | | | | | | | | | | | | | (5073) ~ (all_61_11 = all_20_1)
% 172.25/26.19 | | | | | | | | | | | | |
% 172.25/26.19 | | | | | | | | | | | | | SIMP: (5073) implies:
% 172.25/26.19 | | | | | | | | | | | | | (5074) ~ (all_61_11 = all_20_1)
% 172.25/26.19 | | | | | | | | | | | | |
% 172.25/26.19 | | | | | | | | | | | | | REDUCE: (4347), (5068) imply:
% 172.25/26.19 | | | | | | | | | | | | | (5075) ~ (all_20_1 = all_12_1)
% 172.25/26.19 | | | | | | | | | | | | |
% 172.25/26.19 | | | | | | | | | | | | | REDUCE: (5048), (5068) imply:
% 172.25/26.19 | | | | | | | | | | | | | (5076) ~ (all_20_1 = e2)
% 172.25/26.19 | | | | | | | | | | | | |
% 172.25/26.19 | | | | | | | | | | | | | REDUCE: (4302), (5068) imply:
% 172.25/26.19 | | | | | | | | | | | | | (5077) ~ (all_20_1 = e1)
% 172.25/26.19 | | | | | | | | | | | | |
% 172.25/26.19 | | | | | | | | | | | | | REDUCE: (4352), (5057) imply:
% 172.25/26.19 | | | | | | | | | | | | | (5078) op(all_20_1, e2) = all_61_11
% 172.25/26.19 | | | | | | | | | | | | |
% 172.25/26.19 | | | | | | | | | | | | | REDUCE: (649), (5064) imply:
% 172.25/26.19 | | | | | | | | | | | | | (5079) op(all_61_12, e0) = all_61_4
% 172.25/26.19 | | | | | | | | | | | | |
% 172.25/26.19 | | | | | | | | | | | | | REDUCE: (663), (5068) imply:
% 172.25/26.19 | | | | | | | | | | | | | (5080) op(all_20_1, e2) = all_65_29
% 172.25/26.19 | | | | | | | | | | | | |
% 172.25/26.19 | | | | | | | | | | | | | REDUCE: (728), (5057) imply:
% 172.25/26.19 | | | | | | | | | | | | | (5081) op(e2, all_20_1) = all_65_29
% 172.25/26.19 | | | | | | | | | | | | |
% 172.25/26.19 | | | | | | | | | | | | | REDUCE: (4356), (5068) imply:
% 172.25/26.19 | | | | | | | | | | | | | (5082) op(e2, all_20_1) = all_61_14
% 172.25/26.19 | | | | | | | | | | | | |
% 172.25/26.19 | | | | | | | | | | | | | REDUCE: (761), (5063) imply:
% 172.25/26.19 | | | | | | | | | | | | | (5083) op(e0, all_61_3) = all_61_1
% 172.25/26.19 | | | | | | | | | | | | |
% 172.25/26.19 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_14, all_65_29,
% 172.25/26.19 | | | | | | | | | | | | | all_20_1, e2, simplifying with (5081), (5082)
% 172.25/26.19 | | | | | | | | | | | | | gives:
% 172.25/26.19 | | | | | | | | | | | | | (5084) all_65_29 = all_61_14
% 172.25/26.19 | | | | | | | | | | | | |
% 172.25/26.19 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_11, all_65_29, e2,
% 172.25/26.19 | | | | | | | | | | | | | all_20_1, simplifying with (5078), (5080) gives:
% 172.25/26.19 | | | | | | | | | | | | | (5085) all_65_29 = all_61_11
% 172.25/26.19 | | | | | | | | | | | | |
% 172.25/26.19 | | | | | | | | | | | | | COMBINE_EQS: (5084), (5085) imply:
% 172.25/26.19 | | | | | | | | | | | | | (5086) all_61_11 = all_61_14
% 172.25/26.19 | | | | | | | | | | | | |
% 172.25/26.19 | | | | | | | | | | | | | COMBINE_EQS: (510), (5086) imply:
% 172.25/26.19 | | | | | | | | | | | | | (5087) all_63_14 = all_61_14
% 172.25/26.19 | | | | | | | | | | | | |
% 172.25/26.19 | | | | | | | | | | | | | REDUCE: (206), (5086) imply:
% 172.25/26.19 | | | | | | | | | | | | | (5088) ~ (all_61_3 = all_61_14)
% 172.25/26.19 | | | | | | | | | | | | |
% 172.25/26.19 | | | | | | | | | | | | | REDUCE: (5074), (5086) imply:
% 172.25/26.19 | | | | | | | | | | | | | (5089) ~ (all_61_14 = all_20_1)
% 172.25/26.19 | | | | | | | | | | | | |
% 172.25/26.19 | | | | | | | | | | | | | REDUCE: (5047), (5086) imply:
% 172.25/26.19 | | | | | | | | | | | | | (5090) ~ (all_61_14 = e2)
% 172.25/26.19 | | | | | | | | | | | | |
% 172.25/26.19 | | | | | | | | | | | | | BETA: splitting (101) gives:
% 172.25/26.19 | | | | | | | | | | | | |
% 172.25/26.19 | | | | | | | | | | | | | Case 1:
% 172.25/26.19 | | | | | | | | | | | | | |
% 172.25/26.19 | | | | | | | | | | | | | | (5091) ~ (all_36_2 = e0)
% 172.25/26.19 | | | | | | | | | | | | | |
% 172.25/26.19 | | | | | | | | | | | | | | REDUCE: (557), (5091) imply:
% 172.25/26.19 | | | | | | | | | | | | | | (5092) ~ (all_14_2 = e0)
% 172.25/26.19 | | | | | | | | | | | | | |
% 172.25/26.19 | | | | | | | | | | | | | | BETA: splitting (107) gives:
% 172.25/26.19 | | | | | | | | | | | | | |
% 172.25/26.19 | | | | | | | | | | | | | | Case 1:
% 172.25/26.19 | | | | | | | | | | | | | | |
% 172.25/26.19 | | | | | | | | | | | | | | | (5093) ~ (all_40_2 = e1)
% 172.25/26.19 | | | | | | | | | | | | | | |
% 172.25/26.19 | | | | | | | | | | | | | | | REDUCE: (553), (5093) imply:
% 172.25/26.19 | | | | | | | | | | | | | | | (5094) ~ (all_14_2 = e1)
% 172.25/26.19 | | | | | | | | | | | | | | |
% 172.25/26.19 | | | | | | | | | | | | | | | REF_CLOSE: (10), (50), (67), (151), (159), (162), (165),
% 172.25/26.19 | | | | | | | | | | | | | | | (166), (167), (168), (226), (230), (234), (235),
% 172.25/26.19 | | | | | | | | | | | | | | | (236), (237), (271), (475), (478), (481), (484),
% 172.25/26.19 | | | | | | | | | | | | | | | (534), (588), (599), (601), (603), (635), (636),
% 172.25/26.19 | | | | | | | | | | | | | | | (637), (638), (642), (646), (650), (666), (682),
% 172.25/26.19 | | | | | | | | | | | | | | | (698), (714), (715), (731), (732), (748), (749),
% 172.25/26.19 | | | | | | | | | | | | | | | (765), (851), (4364), (5092), (5094) are
% 172.25/26.19 | | | | | | | | | | | | | | | inconsistent by sub-proof #502.
% 172.25/26.19 | | | | | | | | | | | | | | |
% 172.25/26.19 | | | | | | | | | | | | | | Case 2:
% 172.25/26.19 | | | | | | | | | | | | | | |
% 172.25/26.19 | | | | | | | | | | | | | | | (5095) all_40_2 = e1
% 172.25/26.19 | | | | | | | | | | | | | | | (5096) op(e3, e1) = all_40_1 & $i(all_40_1) & ( ~
% 172.25/26.19 | | | | | | | | | | | | | | | (all_40_1 = e0) | ( ~ (all_40_0 = e2) & op(e0,
% 172.25/26.19 | | | | | | | | | | | | | | | e3) = all_40_0 & $i(all_40_0)))
% 172.25/26.19 | | | | | | | | | | | | | | |
% 172.25/26.19 | | | | | | | | | | | | | | | ALPHA: (5096) implies:
% 172.25/26.19 | | | | | | | | | | | | | | | (5097) op(e3, e1) = all_40_1
% 172.25/26.19 | | | | | | | | | | | | | | |
% 172.25/26.20 | | | | | | | | | | | | | | | COMBINE_EQS: (553), (5095) imply:
% 172.25/26.20 | | | | | | | | | | | | | | | (5098) all_14_2 = e1
% 172.25/26.20 | | | | | | | | | | | | | | |
% 172.25/26.20 | | | | | | | | | | | | | | | SIMP: (5098) implies:
% 172.25/26.20 | | | | | | | | | | | | | | | (5099) all_14_2 = e1
% 172.25/26.20 | | | | | | | | | | | | | | |
% 172.25/26.20 | | | | | | | | | | | | | | | COMBINE_EQS: (466), (5099) imply:
% 172.25/26.20 | | | | | | | | | | | | | | | (5100) all_48_2 = e1
% 172.25/26.20 | | | | | | | | | | | | | | |
% 172.25/26.20 | | | | | | | | | | | | | | | REDUCE: (597), (5099) imply:
% 172.25/26.20 | | | | | | | | | | | | | | | (5101) ~ (all_61_3 = e1)
% 172.25/26.20 | | | | | | | | | | | | | | |
% 172.25/26.20 | | | | | | | | | | | | | | | REDUCE: (634), (5099) imply:
% 172.25/26.20 | | | | | | | | | | | | | | | (5102) op(e1, e3) = all_65_0
% 172.25/26.20 | | | | | | | | | | | | | | |
% 172.25/26.20 | | | | | | | | | | | | | | | REDUCE: (636), (5099) imply:
% 172.25/26.20 | | | | | | | | | | | | | | | (5103) op(e1, e1) = all_65_2
% 172.25/26.20 | | | | | | | | | | | | | | |
% 172.25/26.20 | | | | | | | | | | | | | | | REDUCE: (637), (5099) imply:
% 172.25/26.20 | | | | | | | | | | | | | | | (5104) op(e1, e0) = all_65_3
% 172.25/26.20 | | | | | | | | | | | | | | |
% 172.25/26.20 | | | | | | | | | | | | | | | REDUCE: (698), (5099) imply:
% 172.25/26.20 | | | | | | | | | | | | | | | (5105) op(e3, e1) = all_65_0
% 172.25/26.20 | | | | | | | | | | | | | | |
% 172.25/26.20 | | | | | | | | | | | | | | | REDUCE: (715), (5099) imply:
% 172.25/26.20 | | | | | | | | | | | | | | | (5106) op(e2, e1) = all_65_16
% 172.25/26.20 | | | | | | | | | | | | | | |
% 172.25/26.20 | | | | | | | | | | | | | | | REDUCE: (732), (5099) imply:
% 172.25/26.20 | | | | | | | | | | | | | | | (5107) op(e1, e1) = all_65_32
% 172.25/26.20 | | | | | | | | | | | | | | |
% 172.25/26.20 | | | | | | | | | | | | | | | BETA: splitting (119) gives:
% 172.25/26.20 | | | | | | | | | | | | | | |
% 172.25/26.20 | | | | | | | | | | | | | | | Case 1:
% 172.25/26.20 | | | | | | | | | | | | | | | |
% 172.25/26.20 | | | | | | | | | | | | | | | | (5108) ~ (all_48_2 = e1)
% 172.25/26.20 | | | | | | | | | | | | | | | |
% 172.25/26.20 | | | | | | | | | | | | | | | | REDUCE: (5100), (5108) imply:
% 172.25/26.20 | | | | | | | | | | | | | | | | (5109) $false
% 172.25/26.20 | | | | | | | | | | | | | | | |
% 172.25/26.20 | | | | | | | | | | | | | | | | CLOSE: (5109) is inconsistent.
% 172.25/26.20 | | | | | | | | | | | | | | | |
% 172.25/26.20 | | | | | | | | | | | | | | | Case 2:
% 172.25/26.20 | | | | | | | | | | | | | | | |
% 172.25/26.20 | | | | | | | | | | | | | | | | (5110) op(e3, e1) = all_48_1 & $i(all_48_1) & ( ~
% 172.25/26.20 | | | | | | | | | | | | | | | | (all_48_1 = e2) | ( ~ (all_48_0 = e0) & op(e2,
% 172.25/26.20 | | | | | | | | | | | | | | | | e3) = all_48_0 & $i(all_48_0)))
% 172.25/26.20 | | | | | | | | | | | | | | | |
% 172.25/26.20 | | | | | | | | | | | | | | | | ALPHA: (5110) implies:
% 172.25/26.20 | | | | | | | | | | | | | | | | (5111) op(e3, e1) = all_48_1
% 172.25/26.20 | | | | | | | | | | | | | | | |
% 172.25/26.20 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_14, all_65_3, e0,
% 172.25/26.20 | | | | | | | | | | | | | | | | e1, simplifying with (227), (5104) gives:
% 172.25/26.20 | | | | | | | | | | | | | | | | (5112) all_65_3 = all_61_14
% 172.25/26.20 | | | | | | | | | | | | | | | |
% 172.25/26.20 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e1, all_65_2, e1, e1,
% 172.25/26.20 | | | | | | | | | | | | | | | | simplifying with (876), (5103) gives:
% 172.25/26.20 | | | | | | | | | | | | | | | | (5113) all_65_2 = e1
% 172.25/26.20 | | | | | | | | | | | | | | | |
% 172.25/26.20 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_32, all_65_2, e1,
% 172.25/26.20 | | | | | | | | | | | | | | | | e1, simplifying with (5103), (5107) gives:
% 172.25/26.20 | | | | | | | | | | | | | | | | (5114) all_65_2 = all_65_32
% 172.25/26.20 | | | | | | | | | | | | | | | |
% 172.25/26.20 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_2, all_65_0, e3,
% 172.25/26.20 | | | | | | | | | | | | | | | | e1, simplifying with (230), (5102) gives:
% 172.25/26.20 | | | | | | | | | | | | | | | | (5115) all_65_0 = all_61_2
% 172.25/26.20 | | | | | | | | | | | | | | | |
% 172.25/26.20 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_12_1, all_65_16, e1,
% 172.25/26.20 | | | | | | | | | | | | | | | | e2, simplifying with (4296), (5106) gives:
% 172.25/26.20 | | | | | | | | | | | | | | | | (5116) all_65_16 = all_12_1
% 172.25/26.20 | | | | | | | | | | | | | | | |
% 172.25/26.20 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_8, all_48_1, e1,
% 172.25/26.20 | | | | | | | | | | | | | | | | e3, simplifying with (236), (5111) gives:
% 172.25/26.20 | | | | | | | | | | | | | | | | (5117) all_61_8 = all_48_1
% 172.25/26.20 | | | | | | | | | | | | | | | |
% 172.25/26.20 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_8, all_65_0, e1,
% 172.25/26.20 | | | | | | | | | | | | | | | | e3, simplifying with (236), (5105) gives:
% 172.25/26.20 | | | | | | | | | | | | | | | | (5118) all_65_0 = all_61_8
% 172.25/26.20 | | | | | | | | | | | | | | | |
% 172.25/26.20 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_40_1, all_65_0, e1,
% 172.25/26.20 | | | | | | | | | | | | | | | | e3, simplifying with (5097), (5105) gives:
% 172.25/26.20 | | | | | | | | | | | | | | | | (5119) all_65_0 = all_40_1
% 172.25/26.20 | | | | | | | | | | | | | | | |
% 172.25/26.20 | | | | | | | | | | | | | | | | COMBINE_EQS: (5118), (5119) imply:
% 172.25/26.20 | | | | | | | | | | | | | | | | (5120) all_61_8 = all_40_1
% 172.25/26.20 | | | | | | | | | | | | | | | |
% 172.25/26.20 | | | | | | | | | | | | | | | | SIMP: (5120) implies:
% 172.25/26.20 | | | | | | | | | | | | | | | | (5121) all_61_8 = all_40_1
% 172.25/26.20 | | | | | | | | | | | | | | | |
% 172.25/26.20 | | | | | | | | | | | | | | | | COMBINE_EQS: (5115), (5119) imply:
% 172.25/26.20 | | | | | | | | | | | | | | | | (5122) all_61_2 = all_40_1
% 172.25/26.20 | | | | | | | | | | | | | | | |
% 172.25/26.20 | | | | | | | | | | | | | | | | SIMP: (5122) implies:
% 172.25/26.20 | | | | | | | | | | | | | | | | (5123) all_61_2 = all_40_1
% 172.25/26.20 | | | | | | | | | | | | | | | |
% 172.25/26.20 | | | | | | | | | | | | | | | | COMBINE_EQS: (5113), (5114) imply:
% 172.25/26.20 | | | | | | | | | | | | | | | | (5124) all_65_32 = e1
% 172.25/26.20 | | | | | | | | | | | | | | | |
% 172.25/26.20 | | | | | | | | | | | | | | | | COMBINE_EQS: (5117), (5121) imply:
% 172.25/26.20 | | | | | | | | | | | | | | | | (5125) all_48_1 = all_40_1
% 172.25/26.20 | | | | | | | | | | | | | | | |
% 172.25/26.20 | | | | | | | | | | | | | | | | SIMP: (5125) implies:
% 172.25/26.20 | | | | | | | | | | | | | | | | (5126) all_48_1 = all_40_1
% 172.25/26.20 | | | | | | | | | | | | | | | |
% 172.25/26.20 | | | | | | | | | | | | | | | | REDUCE: (211), (5123) imply:
% 172.25/26.20 | | | | | | | | | | | | | | | | (5127) ~ (all_61_3 = all_40_1)
% 172.25/26.20 | | | | | | | | | | | | | | | |
% 172.25/26.20 | | | | | | | | | | | | | | | | SIMP: (5127) implies:
% 172.25/26.20 | | | | | | | | | | | | | | | | (5128) ~ (all_61_3 = all_40_1)
% 172.25/26.20 | | | | | | | | | | | | | | | |
% 172.25/26.20 | | | | | | | | | | | | | | | | REDUCE: (666), (5123), (5124) imply:
% 172.25/26.20 | | | | | | | | | | | | | | | | (5129) op(all_40_1, e3) = e1
% 172.25/26.20 | | | | | | | | | | | | | | | |
% 172.25/26.20 | | | | | | | | | | | | | | | | REDUCE: (642), (5121) imply:
% 172.25/26.20 | | | | | | | | | | | | | | | | (5130) op(all_40_1, e3) = all_65_8
% 172.25/26.20 | | | | | | | | | | | | | | | |
% 172.25/26.20 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e1, all_65_8, e3,
% 172.25/26.20 | | | | | | | | | | | | | | | | all_40_1, simplifying with (5129), (5130) gives:
% 172.25/26.20 | | | | | | | | | | | | | | | | (5131) all_65_8 = e1
% 172.25/26.20 | | | | | | | | | | | | | | | |
% 172.25/26.20 | | | | | | | | | | | | | | | | BETA: splitting (157) gives:
% 172.25/26.20 | | | | | | | | | | | | | | | |
% 172.25/26.20 | | | | | | | | | | | | | | | | Case 1:
% 172.25/26.20 | | | | | | | | | | | | | | | | |
% 172.25/26.20 | | | | | | | | | | | | | | | | | (5132) ~ (all_58_3 = e1)
% 172.25/26.20 | | | | | | | | | | | | | | | | |
% 172.25/26.20 | | | | | | | | | | | | | | | | | REDUCE: (475), (5132) imply:
% 172.25/26.20 | | | | | | | | | | | | | | | | | (5133) ~ (all_52_3 = e1)
% 172.25/26.20 | | | | | | | | | | | | | | | | |
% 172.25/26.20 | | | | | | | | | | | | | | | | | BETA: splitting (160) gives:
% 172.25/26.20 | | | | | | | | | | | | | | | | |
% 172.25/26.20 | | | | | | | | | | | | | | | | | Case 1:
% 172.25/26.20 | | | | | | | | | | | | | | | | | |
% 172.25/26.20 | | | | | | | | | | | | | | | | | | (5134) ~ (all_58_2 = e0)
% 172.25/26.20 | | | | | | | | | | | | | | | | | |
% 172.25/26.20 | | | | | | | | | | | | | | | | | | REDUCE: (478), (5134) imply:
% 172.25/26.20 | | | | | | | | | | | | | | | | | | (5135) ~ (all_52_2 = e0)
% 172.25/26.20 | | | | | | | | | | | | | | | | | |
% 172.25/26.20 | | | | | | | | | | | | | | | | | | BETA: splitting (164) gives:
% 172.25/26.20 | | | | | | | | | | | | | | | | | |
% 172.25/26.20 | | | | | | | | | | | | | | | | | | Case 1:
% 172.25/26.20 | | | | | | | | | | | | | | | | | | |
% 172.25/26.20 | | | | | | | | | | | | | | | | | | | (5136) ~ (all_58_1 = e1)
% 172.25/26.20 | | | | | | | | | | | | | | | | | | |
% 172.25/26.20 | | | | | | | | | | | | | | | | | | | REDUCE: (481), (5136) imply:
% 172.25/26.20 | | | | | | | | | | | | | | | | | | | (5137) ~ (all_52_1 = e1)
% 172.25/26.20 | | | | | | | | | | | | | | | | | | |
% 172.25/26.20 | | | | | | | | | | | | | | | | | | | BETA: splitting (161) gives:
% 172.25/26.20 | | | | | | | | | | | | | | | | | | |
% 172.25/26.20 | | | | | | | | | | | | | | | | | | | Case 1:
% 172.25/26.20 | | | | | | | | | | | | | | | | | | | |
% 172.25/26.20 | | | | | | | | | | | | | | | | | | | | (5138) ~ (all_58_2 = e2)
% 172.25/26.20 | | | | | | | | | | | | | | | | | | | |
% 172.25/26.20 | | | | | | | | | | | | | | | | | | | | REDUCE: (478), (5138) imply:
% 172.25/26.20 | | | | | | | | | | | | | | | | | | | | (5139) ~ (all_52_2 = e2)
% 172.25/26.20 | | | | | | | | | | | | | | | | | | | |
% 172.25/26.20 | | | | | | | | | | | | | | | | | | | | BETA: splitting (162) gives:
% 172.25/26.20 | | | | | | | | | | | | | | | | | | | |
% 172.25/26.20 | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.25/26.20 | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.20 | | | | | | | | | | | | | | | | | | | | | (5140) ~ (all_58_2 = e3)
% 172.25/26.20 | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.20 | | | | | | | | | | | | | | | | | | | | | REDUCE: (478), (5140) imply:
% 172.25/26.20 | | | | | | | | | | | | | | | | | | | | | (5141) ~ (all_52_2 = e3)
% 172.25/26.20 | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.20 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (149) gives:
% 172.25/26.20 | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.20 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.25/26.20 | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.20 | | | | | | | | | | | | | | | | | | | | | | (5142) all_56_2 = e3
% 172.25/26.20 | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.20 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (538), (5141), (5142) are inconsistent by
% 172.25/26.20 | | | | | | | | | | | | | | | | | | | | | | sub-proof #482.
% 172.25/26.20 | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.20 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.25/26.20 | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.20 | | | | | | | | | | | | | | | | | | | | | | (5143) all_56_2 = e2 | all_56_2 = e1 | all_56_2 = e0
% 172.25/26.20 | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.20 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5143) gives:
% 172.25/26.20 | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.20 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.25/26.20 | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.20 | | | | | | | | | | | | | | | | | | | | | | | (5144) all_56_2 = e2
% 172.25/26.20 | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.20 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (538), (5139), (5144) are inconsistent by
% 172.25/26.20 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #481.
% 172.25/26.20 | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.20 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.25/26.20 | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.20 | | | | | | | | | | | | | | | | | | | | | | | (5145) all_56_2 = e1 | all_56_2 = e0
% 172.25/26.20 | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.20 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5145) gives:
% 172.25/26.20 | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.20 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.25/26.20 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.20 | | | | | | | | | | | | | | | | | | | | | | | | (5146) all_56_2 = e1
% 172.25/26.20 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.20 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (538), (5146) imply:
% 172.25/26.20 | | | | | | | | | | | | | | | | | | | | | | | | (5147) all_52_2 = e1
% 172.25/26.20 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.20 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5147) implies:
% 172.25/26.20 | | | | | | | | | | | | | | | | | | | | | | | | (5148) all_52_2 = e1
% 172.25/26.20 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.20 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (748), (5148) imply:
% 172.25/26.20 | | | | | | | | | | | | | | | | | | | | | | | | (5149) op(e1, e1) = unit
% 172.25/26.20 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.20 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e1, unit, e1, e1,
% 172.25/26.20 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (876), (5149) gives:
% 172.25/26.20 | | | | | | | | | | | | | | | | | | | | | | | | (5150) unit = e1
% 172.25/26.20 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.20 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7), (5150) imply:
% 172.25/26.20 | | | | | | | | | | | | | | | | | | | | | | | | (5151) op(e1, e0) = e0
% 172.25/26.20 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.20 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6), (5150) imply:
% 172.25/26.20 | | | | | | | | | | | | | | | | | | | | | | | | (5152) op(e3, e1) = e3
% 172.25/26.20 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.20 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_14, e0, e0, e1,
% 172.25/26.20 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (227), (5151) gives:
% 172.25/26.20 | | | | | | | | | | | | | | | | | | | | | | | | (5153) all_61_14 = e0
% 172.25/26.20 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.20 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_40_1, e3, e1, e3,
% 172.25/26.20 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (5097), (5152) gives:
% 172.25/26.20 | | | | | | | | | | | | | | | | | | | | | | | | (5154) all_40_1 = e3
% 172.25/26.20 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.20 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5088), (5153) imply:
% 172.25/26.20 | | | | | | | | | | | | | | | | | | | | | | | | (5155) ~ (all_61_3 = e0)
% 172.25/26.20 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.20 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5128), (5154) imply:
% 172.25/26.20 | | | | | | | | | | | | | | | | | | | | | | | | (5156) ~ (all_61_3 = e3)
% 172.25/26.20 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.20 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (259), (506), (5046), (5101), (5155), (5156) are
% 172.25/26.20 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #309.
% 172.25/26.20 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.20 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.25/26.20 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.20 | | | | | | | | | | | | | | | | | | | | | | | | (5157) all_56_2 = e0
% 172.25/26.20 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.20 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (538), (5135), (5157) are inconsistent by
% 172.25/26.20 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #480.
% 172.25/26.20 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.20 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.25/26.20 | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.20 | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.25/26.20 | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.20 | | | | | | | | | | | | | | | | | | | | | End of split
% 172.25/26.20 | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.20 | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.25/26.20 | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.20 | | | | | | | | | | | | | | | | | | | | | (5158) all_58_2 = e3
% 172.25/26.20 | | | | | | | | | | | | | | | | | | | | | (5159) all_58_0 = e1
% 172.25/26.20 | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.20 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (50), (478), (484), (629), (714), (5097),
% 172.25/26.20 | | | | | | | | | | | | | | | | | | | | | (5129), (5158), (5159) are inconsistent by
% 172.25/26.20 | | | | | | | | | | | | | | | | | | | | | sub-proof #483.
% 172.25/26.20 | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.20 | | | | | | | | | | | | | | | | | | | | End of split
% 172.25/26.20 | | | | | | | | | | | | | | | | | | | |
% 172.25/26.20 | | | | | | | | | | | | | | | | | | | Case 2:
% 172.25/26.20 | | | | | | | | | | | | | | | | | | | |
% 172.25/26.20 | | | | | | | | | | | | | | | | | | | | (5160) all_58_1 = e1
% 172.25/26.20 | | | | | | | | | | | | | | | | | | | |
% 172.25/26.20 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (481), (5137), (5160) are inconsistent by
% 172.25/26.20 | | | | | | | | | | | | | | | | | | | | sub-proof #424.
% 172.25/26.20 | | | | | | | | | | | | | | | | | | | |
% 172.25/26.20 | | | | | | | | | | | | | | | | | | | End of split
% 172.25/26.20 | | | | | | | | | | | | | | | | | | |
% 172.25/26.20 | | | | | | | | | | | | | | | | | | Case 2:
% 172.25/26.20 | | | | | | | | | | | | | | | | | | |
% 172.25/26.20 | | | | | | | | | | | | | | | | | | | (5161) all_58_2 = e2
% 172.25/26.20 | | | | | | | | | | | | | | | | | | | (5162) all_58_1 = e1
% 172.25/26.20 | | | | | | | | | | | | | | | | | | |
% 172.25/26.20 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (50), (478), (481), (631), (731), (4296),
% 172.25/26.20 | | | | | | | | | | | | | | | | | | | (4350), (5161), (5162) are inconsistent by
% 172.25/26.20 | | | | | | | | | | | | | | | | | | | sub-proof #310.
% 172.25/26.20 | | | | | | | | | | | | | | | | | | |
% 172.25/26.20 | | | | | | | | | | | | | | | | | | End of split
% 172.25/26.20 | | | | | | | | | | | | | | | | | |
% 172.25/26.20 | | | | | | | | | | | | | | | | | Case 2:
% 172.25/26.20 | | | | | | | | | | | | | | | | | |
% 172.25/26.20 | | | | | | | | | | | | | | | | | | (5163) all_58_3 = e1
% 172.25/26.20 | | | | | | | | | | | | | | | | | |
% 172.25/26.20 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (475), (5163) imply:
% 172.25/26.20 | | | | | | | | | | | | | | | | | | (5164) all_52_3 = e1
% 172.25/26.20 | | | | | | | | | | | | | | | | | |
% 172.25/26.20 | | | | | | | | | | | | | | | | | | REDUCE: (5133), (5164) imply:
% 172.25/26.20 | | | | | | | | | | | | | | | | | | (5165) $false
% 172.25/26.20 | | | | | | | | | | | | | | | | | |
% 172.25/26.20 | | | | | | | | | | | | | | | | | | CLOSE: (5165) is inconsistent.
% 172.25/26.20 | | | | | | | | | | | | | | | | | |
% 172.25/26.20 | | | | | | | | | | | | | | | | | End of split
% 172.25/26.20 | | | | | | | | | | | | | | | | |
% 172.25/26.20 | | | | | | | | | | | | | | | | Case 2:
% 172.25/26.20 | | | | | | | | | | | | | | | | |
% 172.25/26.20 | | | | | | | | | | | | | | | | | (5166) all_58_2 = e0
% 172.25/26.20 | | | | | | | | | | | | | | | | |
% 172.25/26.20 | | | | | | | | | | | | | | | | | COMBINE_EQS: (478), (5166) imply:
% 172.25/26.20 | | | | | | | | | | | | | | | | | (5167) all_52_2 = e0
% 172.25/26.20 | | | | | | | | | | | | | | | | |
% 172.25/26.20 | | | | | | | | | | | | | | | | | SIMP: (5167) implies:
% 172.25/26.20 | | | | | | | | | | | | | | | | | (5168) all_52_2 = e0
% 172.25/26.20 | | | | | | | | | | | | | | | | |
% 172.25/26.20 | | | | | | | | | | | | | | | | | REDUCE: (748), (5168) imply:
% 172.25/26.20 | | | | | | | | | | | | | | | | | (5169) op(e1, e0) = unit
% 172.25/26.20 | | | | | | | | | | | | | | | | |
% 172.25/26.20 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_14, unit, e0, e1,
% 172.25/26.20 | | | | | | | | | | | | | | | | | simplifying with (227), (5169) gives:
% 172.25/26.20 | | | | | | | | | | | | | | | | | (5170) all_61_14 = unit
% 172.25/26.20 | | | | | | | | | | | | | | | | |
% 172.25/26.20 | | | | | | | | | | | | | | | | | REDUCE: (5088), (5170) imply:
% 172.25/26.20 | | | | | | | | | | | | | | | | | (5171) ~ (all_61_3 = unit)
% 172.25/26.20 | | | | | | | | | | | | | | | | |
% 172.25/26.20 | | | | | | | | | | | | | | | | | REDUCE: (5089), (5170) imply:
% 172.25/26.20 | | | | | | | | | | | | | | | | | (5172) ~ (all_20_1 = unit)
% 172.25/26.20 | | | | | | | | | | | | | | | | |
% 172.25/26.20 | | | | | | | | | | | | | | | | | SIMP: (5172) implies:
% 172.25/26.20 | | | | | | | | | | | | | | | | | (5173) ~ (all_20_1 = unit)
% 172.25/26.20 | | | | | | | | | | | | | | | | |
% 172.25/26.20 | | | | | | | | | | | | | | | | | REDUCE: (5090), (5170) imply:
% 172.25/26.20 | | | | | | | | | | | | | | | | | (5174) ~ (unit = e2)
% 172.25/26.20 | | | | | | | | | | | | | | | | |
% 172.25/26.20 | | | | | | | | | | | | | | | | | REDUCE: (868), (5170) imply:
% 172.25/26.20 | | | | | | | | | | | | | | | | | (5175) ~ (unit = e1)
% 172.25/26.20 | | | | | | | | | | | | | | | | |
% 172.25/26.20 | | | | | | | | | | | | | | | | | BETA: splitting (852) gives:
% 172.25/26.20 | | | | | | | | | | | | | | | | |
% 172.25/26.20 | | | | | | | | | | | | | | | | | Case 1:
% 172.25/26.20 | | | | | | | | | | | | | | | | | |
% 172.25/26.20 | | | | | | | | | | | | | | | | | | (5176) unit = e2
% 172.25/26.20 | | | | | | | | | | | | | | | | | |
% 172.25/26.20 | | | | | | | | | | | | | | | | | | REDUCE: (5174), (5176) imply:
% 172.25/26.20 | | | | | | | | | | | | | | | | | | (5177) $false
% 172.25/26.20 | | | | | | | | | | | | | | | | | |
% 172.25/26.20 | | | | | | | | | | | | | | | | | | CLOSE: (5177) is inconsistent.
% 172.25/26.20 | | | | | | | | | | | | | | | | | |
% 172.25/26.20 | | | | | | | | | | | | | | | | | Case 2:
% 172.25/26.20 | | | | | | | | | | | | | | | | | |
% 172.25/26.20 | | | | | | | | | | | | | | | | | | (5178) unit = e1 | unit = e0
% 172.25/26.20 | | | | | | | | | | | | | | | | | |
% 172.25/26.20 | | | | | | | | | | | | | | | | | | BETA: splitting (5178) gives:
% 172.25/26.20 | | | | | | | | | | | | | | | | | |
% 172.25/26.20 | | | | | | | | | | | | | | | | | | Case 1:
% 172.25/26.20 | | | | | | | | | | | | | | | | | | |
% 172.25/26.20 | | | | | | | | | | | | | | | | | | | (5179) unit = e1
% 172.25/26.20 | | | | | | | | | | | | | | | | | | |
% 172.25/26.20 | | | | | | | | | | | | | | | | | | | REDUCE: (5175), (5179) imply:
% 172.25/26.20 | | | | | | | | | | | | | | | | | | | (5180) $false
% 172.25/26.20 | | | | | | | | | | | | | | | | | | |
% 172.25/26.20 | | | | | | | | | | | | | | | | | | | CLOSE: (5180) is inconsistent.
% 172.25/26.20 | | | | | | | | | | | | | | | | | | |
% 172.25/26.20 | | | | | | | | | | | | | | | | | | Case 2:
% 172.25/26.20 | | | | | | | | | | | | | | | | | | |
% 172.25/26.20 | | | | | | | | | | | | | | | | | | | (5181) unit = e0
% 172.25/26.20 | | | | | | | | | | | | | | | | | | |
% 172.25/26.20 | | | | | | | | | | | | | | | | | | | REDUCE: (5171), (5181) imply:
% 172.25/26.20 | | | | | | | | | | | | | | | | | | | (5182) ~ (all_61_3 = e0)
% 172.25/26.20 | | | | | | | | | | | | | | | | | | |
% 172.25/26.20 | | | | | | | | | | | | | | | | | | | REDUCE: (5173), (5181) imply:
% 172.25/26.20 | | | | | | | | | | | | | | | | | | | (5183) ~ (all_20_1 = e0)
% 172.25/26.20 | | | | | | | | | | | | | | | | | | |
% 172.25/26.20 | | | | | | | | | | | | | | | | | | | BETA: splitting (264) gives:
% 172.25/26.20 | | | | | | | | | | | | | | | | | | |
% 172.25/26.20 | | | | | | | | | | | | | | | | | | | Case 1:
% 172.25/26.20 | | | | | | | | | | | | | | | | | | | |
% 172.25/26.20 | | | | | | | | | | | | | | | | | | | | (5184) all_63_7 = e3
% 172.25/26.20 | | | | | | | | | | | | | | | | | | | |
% 172.25/26.20 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5070), (5184) imply:
% 172.25/26.20 | | | | | | | | | | | | | | | | | | | | (5185) all_20_1 = e3
% 172.25/26.20 | | | | | | | | | | | | | | | | | | | |
% 172.25/26.20 | | | | | | | | | | | | | | | | | | | | REDUCE: (5072), (5185) imply:
% 172.25/26.20 | | | | | | | | | | | | | | | | | | | | (5186) ~ (all_61_3 = e3)
% 172.25/26.20 | | | | | | | | | | | | | | | | | | | |
% 172.25/26.20 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (259), (506), (5046), (5101), (5182), (5186) are
% 172.25/26.20 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #309.
% 172.25/26.20 | | | | | | | | | | | | | | | | | | | |
% 172.25/26.20 | | | | | | | | | | | | | | | | | | | Case 2:
% 172.25/26.20 | | | | | | | | | | | | | | | | | | | |
% 172.25/26.20 | | | | | | | | | | | | | | | | | | | | (5187) ~ (all_63_7 = e3)
% 172.25/26.20 | | | | | | | | | | | | | | | | | | | |
% 172.25/26.20 | | | | | | | | | | | | | | | | | | | | REDUCE: (5070), (5187) imply:
% 172.25/26.20 | | | | | | | | | | | | | | | | | | | | (5188) ~ (all_20_1 = e3)
% 172.25/26.20 | | | | | | | | | | | | | | | | | | | |
% 172.25/26.20 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (258), (5069), (5076), (5077), (5183), (5188) are
% 172.25/26.20 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #379.
% 172.25/26.20 | | | | | | | | | | | | | | | | | | | |
% 172.25/26.20 | | | | | | | | | | | | | | | | | | | End of split
% 172.25/26.20 | | | | | | | | | | | | | | | | | | |
% 172.25/26.20 | | | | | | | | | | | | | | | | | | End of split
% 172.25/26.20 | | | | | | | | | | | | | | | | | |
% 172.25/26.20 | | | | | | | | | | | | | | | | | End of split
% 172.25/26.20 | | | | | | | | | | | | | | | | |
% 172.25/26.20 | | | | | | | | | | | | | | | | End of split
% 172.25/26.20 | | | | | | | | | | | | | | | |
% 172.25/26.20 | | | | | | | | | | | | | | | End of split
% 172.25/26.20 | | | | | | | | | | | | | | |
% 172.25/26.20 | | | | | | | | | | | | | | End of split
% 172.25/26.20 | | | | | | | | | | | | | |
% 172.25/26.20 | | | | | | | | | | | | | Case 2:
% 172.25/26.20 | | | | | | | | | | | | | |
% 172.25/26.20 | | | | | | | | | | | | | | (5189) all_36_2 = e0
% 172.25/26.20 | | | | | | | | | | | | | | (5190) op(e3, e0) = all_36_1 & $i(all_36_1) & ( ~
% 172.25/26.20 | | | | | | | | | | | | | | (all_36_1 = e2) | ( ~ (all_36_0 = e1) & op(e2,
% 172.25/26.20 | | | | | | | | | | | | | | e3) = all_36_0 & $i(all_36_0)))
% 172.25/26.20 | | | | | | | | | | | | | |
% 172.25/26.20 | | | | | | | | | | | | | | ALPHA: (5190) implies:
% 172.25/26.20 | | | | | | | | | | | | | | (5191) op(e3, e0) = all_36_1
% 172.25/26.20 | | | | | | | | | | | | | |
% 172.25/26.20 | | | | | | | | | | | | | | COMBINE_EQS: (557), (5189) imply:
% 172.25/26.20 | | | | | | | | | | | | | | (5192) all_14_2 = e0
% 172.25/26.20 | | | | | | | | | | | | | |
% 172.25/26.20 | | | | | | | | | | | | | | REDUCE: (593), (5192) imply:
% 172.25/26.20 | | | | | | | | | | | | | | (5193) ~ (all_61_1 = e0)
% 172.25/26.20 | | | | | | | | | | | | | |
% 172.25/26.20 | | | | | | | | | | | | | | REDUCE: (634), (5192) imply:
% 172.25/26.20 | | | | | | | | | | | | | | (5194) op(e0, e3) = all_65_0
% 172.25/26.20 | | | | | | | | | | | | | |
% 172.25/26.20 | | | | | | | | | | | | | | REDUCE: (637), (5192) imply:
% 172.25/26.20 | | | | | | | | | | | | | | (5195) op(e0, e0) = all_65_3
% 172.25/26.20 | | | | | | | | | | | | | |
% 172.25/26.20 | | | | | | | | | | | | | | REDUCE: (698), (5192) imply:
% 172.25/26.20 | | | | | | | | | | | | | | (5196) op(e3, e0) = all_65_0
% 172.25/26.20 | | | | | | | | | | | | | |
% 172.25/26.20 | | | | | | | | | | | | | | REDUCE: (732), (5192) imply:
% 172.25/26.20 | | | | | | | | | | | | | | (5197) op(e1, e0) = all_65_32
% 172.25/26.20 | | | | | | | | | | | | | |
% 172.25/26.20 | | | | | | | | | | | | | | REDUCE: (749), (5192) imply:
% 172.25/26.20 | | | | | | | | | | | | | | (5198) op(e0, e0) = all_65_49
% 172.25/26.20 | | | | | | | | | | | | | |
% 172.25/26.20 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e2, all_65_3, e0, e0,
% 172.25/26.20 | | | | | | | | | | | | | | simplifying with (5056), (5195) gives:
% 172.25/26.20 | | | | | | | | | | | | | | (5199) all_65_3 = e2
% 172.25/26.20 | | | | | | | | | | | | | |
% 172.25/26.20 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_49, all_65_3, e0,
% 172.25/26.20 | | | | | | | | | | | | | | e0, simplifying with (5195), (5198) gives:
% 172.25/26.20 | | | | | | | | | | | | | | (5200) all_65_3 = all_65_49
% 172.25/26.20 | | | | | | | | | | | | | |
% 172.25/26.20 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_3, all_65_0, e3,
% 172.25/26.20 | | | | | | | | | | | | | | e0, simplifying with (226), (5194) gives:
% 172.25/26.20 | | | | | | | | | | | | | | (5201) all_65_0 = all_61_3
% 172.25/26.20 | | | | | | | | | | | | | |
% 172.25/26.20 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_14, all_65_32, e0,
% 172.25/26.20 | | | | | | | | | | | | | | e1, simplifying with (227), (5197) gives:
% 172.25/26.20 | | | | | | | | | | | | | | (5202) all_65_32 = all_61_14
% 172.25/26.20 | | | | | | | | | | | | | |
% 172.25/26.20 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_12, all_65_0, e0,
% 172.25/26.20 | | | | | | | | | | | | | | e3, simplifying with (235), (5196) gives:
% 172.25/26.20 | | | | | | | | | | | | | | (5203) all_65_0 = all_61_12
% 172.25/26.20 | | | | | | | | | | | | | |
% 172.25/26.20 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_36_1, all_65_0, e0,
% 172.25/26.20 | | | | | | | | | | | | | | e3, simplifying with (5191), (5196) gives:
% 172.25/26.20 | | | | | | | | | | | | | | (5204) all_65_0 = all_36_1
% 172.25/26.20 | | | | | | | | | | | | | |
% 172.25/26.20 | | | | | | | | | | | | | | COMBINE_EQS: (5201), (5204) imply:
% 172.25/26.20 | | | | | | | | | | | | | | (5205) all_61_3 = all_36_1
% 172.25/26.20 | | | | | | | | | | | | | |
% 172.25/26.20 | | | | | | | | | | | | | | SIMP: (5205) implies:
% 172.25/26.20 | | | | | | | | | | | | | | (5206) all_61_3 = all_36_1
% 172.25/26.20 | | | | | | | | | | | | | |
% 172.25/26.20 | | | | | | | | | | | | | | COMBINE_EQS: (5203), (5204) imply:
% 172.25/26.20 | | | | | | | | | | | | | | (5207) all_61_12 = all_36_1
% 172.25/26.20 | | | | | | | | | | | | | |
% 172.25/26.20 | | | | | | | | | | | | | | SIMP: (5207) implies:
% 172.25/26.20 | | | | | | | | | | | | | | (5208) all_61_12 = all_36_1
% 172.25/26.20 | | | | | | | | | | | | | |
% 172.25/26.20 | | | | | | | | | | | | | | COMBINE_EQS: (5199), (5200) imply:
% 172.25/26.20 | | | | | | | | | | | | | | (5209) all_65_49 = e2
% 172.25/26.20 | | | | | | | | | | | | | |
% 172.25/26.20 | | | | | | | | | | | | | | REDUCE: (685), (5206) imply:
% 172.25/26.20 | | | | | | | | | | | | | | (5210) op(all_36_1, e0) = all_65_55
% 172.25/26.20 | | | | | | | | | | | | | |
% 172.25/26.20 | | | | | | | | | | | | | | REDUCE: (5079), (5208) imply:
% 172.25/26.20 | | | | | | | | | | | | | | (5211) op(all_36_1, e0) = all_61_4
% 172.25/26.20 | | | | | | | | | | | | | |
% 172.25/26.20 | | | | | | | | | | | | | | REDUCE: (5083), (5206) imply:
% 172.25/26.20 | | | | | | | | | | | | | | (5212) op(e0, all_36_1) = all_61_1
% 172.25/26.20 | | | | | | | | | | | | | |
% 172.25/26.20 | | | | | | | | | | | | | | REDUCE: (752), (5208) imply:
% 172.25/26.20 | | | | | | | | | | | | | | (5213) op(e0, all_36_1) = all_65_55
% 172.25/26.20 | | | | | | | | | | | | | |
% 172.25/26.20 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_1, all_65_55,
% 172.25/26.20 | | | | | | | | | | | | | | all_36_1, e0, simplifying with (5212), (5213)
% 172.25/26.20 | | | | | | | | | | | | | | gives:
% 172.25/26.21 | | | | | | | | | | | | | | (5214) all_65_55 = all_61_1
% 172.25/26.21 | | | | | | | | | | | | | |
% 172.25/26.21 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_4, all_65_55, e0,
% 172.25/26.21 | | | | | | | | | | | | | | all_36_1, simplifying with (5210), (5211) gives:
% 172.25/26.21 | | | | | | | | | | | | | | (5215) all_65_55 = all_61_4
% 172.25/26.21 | | | | | | | | | | | | | |
% 172.25/26.21 | | | | | | | | | | | | | | COMBINE_EQS: (5214), (5215) imply:
% 172.25/26.21 | | | | | | | | | | | | | | (5216) all_61_1 = all_61_4
% 172.25/26.21 | | | | | | | | | | | | | |
% 172.25/26.21 | | | | | | | | | | | | | | SIMP: (5216) implies:
% 172.25/26.21 | | | | | | | | | | | | | | (5217) all_61_1 = all_61_4
% 172.25/26.21 | | | | | | | | | | | | | |
% 172.25/26.21 | | | | | | | | | | | | | | COMBINE_EQS: (493), (5217) imply:
% 172.25/26.21 | | | | | | | | | | | | | | (5218) all_63_4 = all_61_4
% 172.25/26.21 | | | | | | | | | | | | | |
% 172.25/26.21 | | | | | | | | | | | | | | REDUCE: (216), (5217) imply:
% 172.25/26.21 | | | | | | | | | | | | | | (5219) ~ (all_61_2 = all_61_4)
% 172.25/26.21 | | | | | | | | | | | | | |
% 172.25/26.21 | | | | | | | | | | | | | | SIMP: (5219) implies:
% 172.25/26.21 | | | | | | | | | | | | | | (5220) ~ (all_61_2 = all_61_4)
% 172.25/26.21 | | | | | | | | | | | | | |
% 172.25/26.21 | | | | | | | | | | | | | | REDUCE: (5071), (5217) imply:
% 172.25/26.21 | | | | | | | | | | | | | | (5221) ~ (all_61_4 = all_20_1)
% 172.25/26.21 | | | | | | | | | | | | | |
% 172.25/26.21 | | | | | | | | | | | | | | REDUCE: (5193), (5217) imply:
% 172.25/26.21 | | | | | | | | | | | | | | (5222) ~ (all_61_4 = e0)
% 172.25/26.21 | | | | | | | | | | | | | |
% 172.25/26.21 | | | | | | | | | | | | | | REDUCE: (651), (5217) imply:
% 172.25/26.21 | | | | | | | | | | | | | | (5223) op(all_61_4, e2) = all_65_17
% 172.25/26.21 | | | | | | | | | | | | | |
% 172.25/26.21 | | | | | | | | | | | | | | REDUCE: (4355), (5217) imply:
% 172.25/26.21 | | | | | | | | | | | | | | (5224) op(e2, all_61_4) = all_61_2
% 172.25/26.21 | | | | | | | | | | | | | |
% 172.25/26.21 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_17, all_61_2,
% 172.25/26.21 | | | | | | | | | | | | | | all_61_4, e2, simplifying with (716), (5224)
% 172.25/26.21 | | | | | | | | | | | | | | gives:
% 172.25/26.21 | | | | | | | | | | | | | | (5225) all_65_17 = all_61_2
% 172.25/26.21 | | | | | | | | | | | | | |
% 172.25/26.21 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_8, all_65_17, e2,
% 172.25/26.21 | | | | | | | | | | | | | | all_61_4, simplifying with (4349), (5223) gives:
% 172.25/26.21 | | | | | | | | | | | | | | (5226) all_65_17 = all_61_8
% 172.25/26.21 | | | | | | | | | | | | | |
% 172.25/26.21 | | | | | | | | | | | | | | COMBINE_EQS: (5225), (5226) imply:
% 172.25/26.21 | | | | | | | | | | | | | | (5227) all_61_2 = all_61_8
% 172.25/26.21 | | | | | | | | | | | | | |
% 172.25/26.21 | | | | | | | | | | | | | | SIMP: (5227) implies:
% 172.25/26.21 | | | | | | | | | | | | | | (5228) all_61_2 = all_61_8
% 172.25/26.21 | | | | | | | | | | | | | |
% 172.25/26.21 | | | | | | | | | | | | | | REDUCE: (5220), (5228) imply:
% 172.25/26.21 | | | | | | | | | | | | | | (5229) ~ (all_61_4 = all_61_8)
% 172.25/26.21 | | | | | | | | | | | | | |
% 172.25/26.21 | | | | | | | | | | | | | | BETA: splitting (157) gives:
% 172.25/26.21 | | | | | | | | | | | | | |
% 172.25/26.21 | | | | | | | | | | | | | | Case 1:
% 172.25/26.21 | | | | | | | | | | | | | | |
% 172.25/26.21 | | | | | | | | | | | | | | | (5230) ~ (all_58_3 = e1)
% 172.25/26.21 | | | | | | | | | | | | | | |
% 172.25/26.21 | | | | | | | | | | | | | | | REDUCE: (475), (5230) imply:
% 172.25/26.21 | | | | | | | | | | | | | | | (5231) ~ (all_52_3 = e1)
% 172.25/26.21 | | | | | | | | | | | | | | |
% 172.25/26.21 | | | | | | | | | | | | | | | BETA: splitting (160) gives:
% 172.25/26.21 | | | | | | | | | | | | | | |
% 172.25/26.21 | | | | | | | | | | | | | | | Case 1:
% 172.25/26.21 | | | | | | | | | | | | | | | |
% 172.25/26.21 | | | | | | | | | | | | | | | | (5232) ~ (all_58_2 = e0)
% 172.25/26.21 | | | | | | | | | | | | | | | |
% 172.25/26.21 | | | | | | | | | | | | | | | | REDUCE: (478), (5232) imply:
% 172.25/26.21 | | | | | | | | | | | | | | | | (5233) ~ (all_52_2 = e0)
% 172.25/26.21 | | | | | | | | | | | | | | | |
% 172.25/26.21 | | | | | | | | | | | | | | | | BETA: splitting (158) gives:
% 172.25/26.21 | | | | | | | | | | | | | | | |
% 172.25/26.21 | | | | | | | | | | | | | | | | Case 1:
% 172.25/26.21 | | | | | | | | | | | | | | | | |
% 172.25/26.21 | | | | | | | | | | | | | | | | | (5234) ~ (all_58_3 = e2)
% 172.25/26.21 | | | | | | | | | | | | | | | | |
% 172.25/26.21 | | | | | | | | | | | | | | | | | REDUCE: (475), (5234) imply:
% 172.25/26.21 | | | | | | | | | | | | | | | | | (5235) ~ (all_52_3 = e2)
% 172.25/26.21 | | | | | | | | | | | | | | | | |
% 172.25/26.21 | | | | | | | | | | | | | | | | | BETA: splitting (163) gives:
% 172.25/26.21 | | | | | | | | | | | | | | | | |
% 172.25/26.21 | | | | | | | | | | | | | | | | | Case 1:
% 172.25/26.21 | | | | | | | | | | | | | | | | | |
% 172.25/26.21 | | | | | | | | | | | | | | | | | | (5236) ~ (all_58_1 = e0)
% 172.25/26.21 | | | | | | | | | | | | | | | | | |
% 172.25/26.21 | | | | | | | | | | | | | | | | | | REDUCE: (481), (5236) imply:
% 172.25/26.21 | | | | | | | | | | | | | | | | | | (5237) ~ (all_52_1 = e0)
% 172.25/26.21 | | | | | | | | | | | | | | | | | |
% 172.25/26.21 | | | | | | | | | | | | | | | | | | BETA: splitting (161) gives:
% 172.25/26.21 | | | | | | | | | | | | | | | | | |
% 172.25/26.21 | | | | | | | | | | | | | | | | | | Case 1:
% 172.25/26.21 | | | | | | | | | | | | | | | | | | |
% 172.25/26.21 | | | | | | | | | | | | | | | | | | | (5238) ~ (all_58_2 = e2)
% 172.25/26.21 | | | | | | | | | | | | | | | | | | |
% 172.25/26.21 | | | | | | | | | | | | | | | | | | | REDUCE: (478), (5238) imply:
% 172.25/26.21 | | | | | | | | | | | | | | | | | | | (5239) ~ (all_52_2 = e2)
% 172.25/26.21 | | | | | | | | | | | | | | | | | | |
% 172.25/26.21 | | | | | | | | | | | | | | | | | | | BETA: splitting (162) gives:
% 172.25/26.21 | | | | | | | | | | | | | | | | | | |
% 172.25/26.21 | | | | | | | | | | | | | | | | | | | Case 1:
% 172.25/26.21 | | | | | | | | | | | | | | | | | | | |
% 172.25/26.21 | | | | | | | | | | | | | | | | | | | | (5240) ~ (all_58_2 = e3)
% 172.25/26.21 | | | | | | | | | | | | | | | | | | | |
% 172.25/26.21 | | | | | | | | | | | | | | | | | | | | REDUCE: (478), (5240) imply:
% 172.25/26.21 | | | | | | | | | | | | | | | | | | | | (5241) ~ (all_52_2 = e3)
% 172.25/26.21 | | | | | | | | | | | | | | | | | | | |
% 172.25/26.21 | | | | | | | | | | | | | | | | | | | | BETA: splitting (149) gives:
% 172.25/26.21 | | | | | | | | | | | | | | | | | | | |
% 172.25/26.21 | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.25/26.21 | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.21 | | | | | | | | | | | | | | | | | | | | | (5242) all_56_2 = e3
% 172.25/26.21 | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.21 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (538), (5241), (5242) are inconsistent by
% 172.25/26.21 | | | | | | | | | | | | | | | | | | | | | sub-proof #482.
% 172.25/26.21 | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.21 | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.25/26.21 | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.21 | | | | | | | | | | | | | | | | | | | | | (5243) all_56_2 = e2 | all_56_2 = e1 | all_56_2 = e0
% 172.25/26.21 | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.21 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5243) gives:
% 172.25/26.21 | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.21 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.25/26.21 | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.21 | | | | | | | | | | | | | | | | | | | | | | (5244) all_56_2 = e2
% 172.25/26.21 | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.21 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (538), (5239), (5244) are inconsistent by
% 172.25/26.21 | | | | | | | | | | | | | | | | | | | | | | sub-proof #481.
% 172.25/26.21 | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.21 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.25/26.21 | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.21 | | | | | | | | | | | | | | | | | | | | | | (5245) all_56_2 = e1 | all_56_2 = e0
% 172.25/26.21 | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.21 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5245) gives:
% 172.25/26.21 | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.21 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.25/26.21 | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.21 | | | | | | | | | | | | | | | | | | | | | | | (5246) all_56_2 = e1
% 172.25/26.21 | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.21 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (538), (5246) imply:
% 172.25/26.21 | | | | | | | | | | | | | | | | | | | | | | | (5247) all_52_2 = e1
% 172.25/26.21 | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.21 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5247) implies:
% 172.25/26.21 | | | | | | | | | | | | | | | | | | | | | | | (5248) all_52_2 = e1
% 172.25/26.21 | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.21 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (748), (5248) imply:
% 172.25/26.21 | | | | | | | | | | | | | | | | | | | | | | | (5249) op(e1, e1) = unit
% 172.25/26.21 | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.21 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e1, unit, e1, e1,
% 172.25/26.21 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (876), (5249) gives:
% 172.25/26.21 | | | | | | | | | | | | | | | | | | | | | | | (5250) unit = e1
% 172.25/26.21 | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.21 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (50), (201), (236), (270), (488),
% 172.25/26.21 | | | | | | | | | | | | | | | | | | | | | | | (4296), (4300), (4338), (5222), (5250) are
% 172.25/26.21 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #320.
% 172.25/26.21 | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.21 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.25/26.21 | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.21 | | | | | | | | | | | | | | | | | | | | | | | (5251) all_56_2 = e0
% 172.25/26.21 | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.21 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (538), (5233), (5251) are inconsistent by
% 172.25/26.21 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #480.
% 172.25/26.21 | | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.21 | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.25/26.21 | | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.21 | | | | | | | | | | | | | | | | | | | | | End of split
% 172.25/26.21 | | | | | | | | | | | | | | | | | | | | |
% 172.25/26.21 | | | | | | | | | | | | | | | | | | | | End of split
% 172.25/26.21 | | | | | | | | | | | | | | | | | | | |
% 172.25/26.21 | | | | | | | | | | | | | | | | | | | Case 2:
% 172.25/26.21 | | | | | | | | | | | | | | | | | | | |
% 172.25/26.21 | | | | | | | | | | | | | | | | | | | | (5252) all_58_2 = e3
% 172.25/26.21 | | | | | | | | | | | | | | | | | | | | (5253) all_58_0 = e1
% 172.25/26.21 | | | | | | | | | | | | | | | | | | | |
% 172.25/26.21 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (50), (148), (150), (478), (484), (536), (539),
% 172.25/26.21 | | | | | | | | | | | | | | | | | | | | (628), (630), (631), (632), (633), (731), (765),
% 172.25/26.21 | | | | | | | | | | | | | | | | | | | | (4309), (5056), (5237), (5252), (5253) are
% 172.25/26.21 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #307.
% 172.25/26.21 | | | | | | | | | | | | | | | | | | | |
% 172.25/26.21 | | | | | | | | | | | | | | | | | | | End of split
% 172.25/26.21 | | | | | | | | | | | | | | | | | | |
% 172.25/26.21 | | | | | | | | | | | | | | | | | | Case 2:
% 172.25/26.21 | | | | | | | | | | | | | | | | | | |
% 172.25/26.21 | | | | | | | | | | | | | | | | | | | (5254) all_58_2 = e2
% 172.25/26.21 | | | | | | | | | | | | | | | | | | | (5255) all_58_1 = e1
% 172.25/26.21 | | | | | | | | | | | | | | | | | | |
% 172.25/26.21 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (50), (478), (481), (631), (731), (4296),
% 172.25/26.21 | | | | | | | | | | | | | | | | | | | (4350), (5254), (5255) are inconsistent by
% 172.25/26.21 | | | | | | | | | | | | | | | | | | | sub-proof #310.
% 172.25/26.21 | | | | | | | | | | | | | | | | | | |
% 172.25/26.21 | | | | | | | | | | | | | | | | | | End of split
% 172.25/26.21 | | | | | | | | | | | | | | | | | |
% 172.25/26.21 | | | | | | | | | | | | | | | | | Case 2:
% 172.25/26.21 | | | | | | | | | | | | | | | | | |
% 172.25/26.21 | | | | | | | | | | | | | | | | | | (5256) all_58_3 = e2
% 172.25/26.21 | | | | | | | | | | | | | | | | | |
% 172.25/26.21 | | | | | | | | | | | | | | | | | | REF_CLOSE: (475), (5235), (5256) are inconsistent by
% 172.25/26.21 | | | | | | | | | | | | | | | | | | sub-proof #459.
% 172.25/26.21 | | | | | | | | | | | | | | | | | |
% 172.25/26.21 | | | | | | | | | | | | | | | | | End of split
% 172.25/26.21 | | | | | | | | | | | | | | | | |
% 172.61/26.21 | | | | | | | | | | | | | | | | Case 2:
% 172.61/26.21 | | | | | | | | | | | | | | | | |
% 172.61/26.21 | | | | | | | | | | | | | | | | | (5257) all_58_3 = e2
% 172.61/26.21 | | | | | | | | | | | | | | | | | (5258) all_58_1 = e0
% 172.61/26.21 | | | | | | | | | | | | | | | | |
% 172.61/26.21 | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (50), (225), (231), (475), (481), (663),
% 172.61/26.21 | | | | | | | | | | | | | | | | | (728), (731), (765), (4352), (4356), (5090),
% 172.61/26.21 | | | | | | | | | | | | | | | | | (5257), (5258) are inconsistent by sub-proof #324.
% 172.61/26.21 | | | | | | | | | | | | | | | | |
% 172.61/26.21 | | | | | | | | | | | | | | | | End of split
% 172.61/26.21 | | | | | | | | | | | | | | | |
% 172.61/26.21 | | | | | | | | | | | | | | | Case 2:
% 172.61/26.21 | | | | | | | | | | | | | | | |
% 172.61/26.21 | | | | | | | | | | | | | | | | (5259) all_58_3 = e1
% 172.61/26.21 | | | | | | | | | | | | | | | |
% 172.61/26.21 | | | | | | | | | | | | | | | | REF_CLOSE: (475), (5231), (5259) are inconsistent by
% 172.61/26.21 | | | | | | | | | | | | | | | | sub-proof #460.
% 172.61/26.21 | | | | | | | | | | | | | | | |
% 172.61/26.21 | | | | | | | | | | | | | | | End of split
% 172.61/26.21 | | | | | | | | | | | | | | |
% 172.61/26.21 | | | | | | | | | | | | | | Case 2:
% 172.61/26.21 | | | | | | | | | | | | | | |
% 172.61/26.21 | | | | | | | | | | | | | | | (5260) all_58_2 = e0
% 172.61/26.21 | | | | | | | | | | | | | | |
% 172.61/26.21 | | | | | | | | | | | | | | | COMBINE_EQS: (478), (5260) imply:
% 172.61/26.21 | | | | | | | | | | | | | | | (5261) all_52_2 = e0
% 172.61/26.21 | | | | | | | | | | | | | | |
% 172.61/26.21 | | | | | | | | | | | | | | | SIMP: (5261) implies:
% 172.61/26.21 | | | | | | | | | | | | | | | (5262) all_52_2 = e0
% 172.61/26.21 | | | | | | | | | | | | | | |
% 172.61/26.21 | | | | | | | | | | | | | | | REDUCE: (748), (5262) imply:
% 172.61/26.21 | | | | | | | | | | | | | | | (5263) op(e1, e0) = unit
% 172.61/26.21 | | | | | | | | | | | | | | |
% 172.61/26.21 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_14, unit, e0, e1,
% 172.61/26.21 | | | | | | | | | | | | | | | simplifying with (227), (5263) gives:
% 172.61/26.21 | | | | | | | | | | | | | | | (5264) all_61_14 = unit
% 172.61/26.21 | | | | | | | | | | | | | | |
% 172.61/26.21 | | | | | | | | | | | | | | | COMBINE_EQS: (5087), (5264) imply:
% 172.61/26.21 | | | | | | | | | | | | | | | (5265) all_63_14 = unit
% 172.61/26.21 | | | | | | | | | | | | | | |
% 172.61/26.21 | | | | | | | | | | | | | | | COMBINE_EQS: (505), (5264) imply:
% 172.61/26.21 | | | | | | | | | | | | | | | (5266) all_63_11 = unit
% 172.61/26.21 | | | | | | | | | | | | | | |
% 172.61/26.21 | | | | | | | | | | | | | | | REDUCE: (5089), (5264) imply:
% 172.61/26.21 | | | | | | | | | | | | | | | (5267) ~ (all_20_1 = unit)
% 172.61/26.21 | | | | | | | | | | | | | | |
% 172.61/26.21 | | | | | | | | | | | | | | | SIMP: (5267) implies:
% 172.61/26.21 | | | | | | | | | | | | | | | (5268) ~ (all_20_1 = unit)
% 172.61/26.21 | | | | | | | | | | | | | | |
% 172.61/26.21 | | | | | | | | | | | | | | | REDUCE: (5090), (5264) imply:
% 172.61/26.21 | | | | | | | | | | | | | | | (5269) ~ (unit = e2)
% 172.61/26.21 | | | | | | | | | | | | | | |
% 172.61/26.21 | | | | | | | | | | | | | | | REDUCE: (868), (5264) imply:
% 172.61/26.21 | | | | | | | | | | | | | | | (5270) ~ (unit = e1)
% 172.61/26.21 | | | | | | | | | | | | | | |
% 172.61/26.21 | | | | | | | | | | | | | | | BETA: splitting (257) gives:
% 172.61/26.21 | | | | | | | | | | | | | | |
% 172.61/26.21 | | | | | | | | | | | | | | | Case 1:
% 172.61/26.21 | | | | | | | | | | | | | | | |
% 172.61/26.21 | | | | | | | | | | | | | | | | (5271) all_63_14 = e3
% 172.61/26.21 | | | | | | | | | | | | | | | |
% 172.61/26.21 | | | | | | | | | | | | | | | | COMBINE_EQS: (5265), (5271) imply:
% 172.61/26.21 | | | | | | | | | | | | | | | | (5272) unit = e3
% 172.61/26.21 | | | | | | | | | | | | | | | |
% 172.61/26.21 | | | | | | | | | | | | | | | | REDUCE: (851), (5272) imply:
% 172.61/26.21 | | | | | | | | | | | | | | | | (5273) $false
% 172.61/26.21 | | | | | | | | | | | | | | | |
% 172.61/26.21 | | | | | | | | | | | | | | | | CLOSE: (5273) is inconsistent.
% 172.61/26.21 | | | | | | | | | | | | | | | |
% 172.61/26.21 | | | | | | | | | | | | | | | Case 2:
% 172.61/26.21 | | | | | | | | | | | | | | | |
% 172.61/26.21 | | | | | | | | | | | | | | | | (5274) ~ (all_63_14 = e3)
% 172.61/26.21 | | | | | | | | | | | | | | | | (5275) all_63_14 = e2 | all_63_14 = e1 | all_63_14 = e0
% 172.61/26.21 | | | | | | | | | | | | | | | |
% 172.61/26.21 | | | | | | | | | | | | | | | | BETA: splitting (5275) gives:
% 172.61/26.21 | | | | | | | | | | | | | | | |
% 172.61/26.21 | | | | | | | | | | | | | | | | Case 1:
% 172.61/26.21 | | | | | | | | | | | | | | | | |
% 172.61/26.21 | | | | | | | | | | | | | | | | | (5276) all_63_14 = e2
% 172.61/26.21 | | | | | | | | | | | | | | | | |
% 172.61/26.21 | | | | | | | | | | | | | | | | | COMBINE_EQS: (5265), (5276) imply:
% 172.61/26.21 | | | | | | | | | | | | | | | | | (5277) unit = e2
% 172.61/26.21 | | | | | | | | | | | | | | | | |
% 172.61/26.21 | | | | | | | | | | | | | | | | | REDUCE: (5269), (5277) imply:
% 172.61/26.21 | | | | | | | | | | | | | | | | | (5278) $false
% 172.61/26.21 | | | | | | | | | | | | | | | | |
% 172.61/26.21 | | | | | | | | | | | | | | | | | CLOSE: (5278) is inconsistent.
% 172.61/26.21 | | | | | | | | | | | | | | | | |
% 172.61/26.21 | | | | | | | | | | | | | | | | Case 2:
% 172.61/26.21 | | | | | | | | | | | | | | | | |
% 172.61/26.21 | | | | | | | | | | | | | | | | | (5279) all_63_14 = e1 | all_63_14 = e0
% 172.61/26.21 | | | | | | | | | | | | | | | | |
% 172.61/26.21 | | | | | | | | | | | | | | | | | BETA: splitting (260) gives:
% 172.61/26.21 | | | | | | | | | | | | | | | | |
% 172.61/26.21 | | | | | | | | | | | | | | | | | Case 1:
% 172.61/26.21 | | | | | | | | | | | | | | | | | |
% 172.61/26.21 | | | | | | | | | | | | | | | | | | (5280) all_63_11 = e3
% 172.61/26.21 | | | | | | | | | | | | | | | | | |
% 172.61/26.21 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5266), (5280) imply:
% 172.61/26.21 | | | | | | | | | | | | | | | | | | (5281) unit = e3
% 172.61/26.21 | | | | | | | | | | | | | | | | | |
% 172.61/26.21 | | | | | | | | | | | | | | | | | | REDUCE: (851), (5281) imply:
% 172.61/26.21 | | | | | | | | | | | | | | | | | | (5282) $false
% 172.61/26.21 | | | | | | | | | | | | | | | | | |
% 172.61/26.21 | | | | | | | | | | | | | | | | | | CLOSE: (5282) is inconsistent.
% 172.61/26.21 | | | | | | | | | | | | | | | | | |
% 172.61/26.21 | | | | | | | | | | | | | | | | | Case 2:
% 172.61/26.21 | | | | | | | | | | | | | | | | | |
% 172.61/26.21 | | | | | | | | | | | | | | | | | | (5283) all_63_11 = e2 | all_63_11 = e1 | all_63_11 = e0
% 172.61/26.21 | | | | | | | | | | | | | | | | | |
% 172.61/26.21 | | | | | | | | | | | | | | | | | | BETA: splitting (5279) gives:
% 172.61/26.21 | | | | | | | | | | | | | | | | | |
% 172.61/26.21 | | | | | | | | | | | | | | | | | | Case 1:
% 172.61/26.21 | | | | | | | | | | | | | | | | | | |
% 172.61/26.21 | | | | | | | | | | | | | | | | | | | (5284) all_63_14 = e1
% 172.61/26.21 | | | | | | | | | | | | | | | | | | |
% 172.61/26.21 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5265), (5284) imply:
% 172.61/26.21 | | | | | | | | | | | | | | | | | | | (5285) unit = e1
% 172.61/26.21 | | | | | | | | | | | | | | | | | | |
% 172.61/26.21 | | | | | | | | | | | | | | | | | | | REDUCE: (5270), (5285) imply:
% 172.61/26.21 | | | | | | | | | | | | | | | | | | | (5286) $false
% 172.61/26.21 | | | | | | | | | | | | | | | | | | |
% 172.61/26.21 | | | | | | | | | | | | | | | | | | | CLOSE: (5286) is inconsistent.
% 172.61/26.21 | | | | | | | | | | | | | | | | | | |
% 172.61/26.21 | | | | | | | | | | | | | | | | | | Case 2:
% 172.61/26.21 | | | | | | | | | | | | | | | | | | |
% 172.61/26.21 | | | | | | | | | | | | | | | | | | | (5287) all_63_14 = e0
% 172.61/26.21 | | | | | | | | | | | | | | | | | | |
% 172.61/26.21 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5265), (5287) imply:
% 172.61/26.21 | | | | | | | | | | | | | | | | | | | (5288) unit = e0
% 172.61/26.21 | | | | | | | | | | | | | | | | | | |
% 172.61/26.21 | | | | | | | | | | | | | | | | | | | REDUCE: (5268), (5288) imply:
% 172.61/26.21 | | | | | | | | | | | | | | | | | | | (5289) ~ (all_20_1 = e0)
% 172.61/26.21 | | | | | | | | | | | | | | | | | | |
% 172.61/26.21 | | | | | | | | | | | | | | | | | | | BETA: splitting (264) gives:
% 172.61/26.21 | | | | | | | | | | | | | | | | | | |
% 172.61/26.21 | | | | | | | | | | | | | | | | | | | Case 1:
% 172.61/26.21 | | | | | | | | | | | | | | | | | | | |
% 172.61/26.21 | | | | | | | | | | | | | | | | | | | | (5290) all_63_7 = e3
% 172.61/26.21 | | | | | | | | | | | | | | | | | | | |
% 172.61/26.21 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5070), (5290) imply:
% 172.61/26.21 | | | | | | | | | | | | | | | | | | | | (5291) all_20_1 = e3
% 172.61/26.21 | | | | | | | | | | | | | | | | | | | |
% 172.61/26.21 | | | | | | | | | | | | | | | | | | | | REDUCE: (5221), (5291) imply:
% 172.61/26.21 | | | | | | | | | | | | | | | | | | | | (5292) ~ (all_61_4 = e3)
% 172.61/26.21 | | | | | | | | | | | | | | | | | | | |
% 172.61/26.21 | | | | | | | | | | | | | | | | | | | | REDUCE: (5075), (5291) imply:
% 172.61/26.21 | | | | | | | | | | | | | | | | | | | | (5293) ~ (all_12_1 = e3)
% 172.61/26.21 | | | | | | | | | | | | | | | | | | | |
% 172.61/26.21 | | | | | | | | | | | | | | | | | | | | SIMP: (5293) implies:
% 172.61/26.21 | | | | | | | | | | | | | | | | | | | | (5294) ~ (all_12_1 = e3)
% 172.61/26.21 | | | | | | | | | | | | | | | | | | | |
% 172.61/26.21 | | | | | | | | | | | | | | | | | | | | BETA: splitting (267) gives:
% 172.61/26.21 | | | | | | | | | | | | | | | | | | | |
% 172.61/26.21 | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.61/26.21 | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.21 | | | | | | | | | | | | | | | | | | | | | (5295) all_63_4 = e3
% 172.61/26.21 | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.21 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5218), (5295) imply:
% 172.61/26.21 | | | | | | | | | | | | | | | | | | | | | (5296) all_61_4 = e3
% 172.61/26.21 | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.21 | | | | | | | | | | | | | | | | | | | | | REDUCE: (5292), (5296) imply:
% 172.61/26.21 | | | | | | | | | | | | | | | | | | | | | (5297) $false
% 172.61/26.21 | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.21 | | | | | | | | | | | | | | | | | | | | | CLOSE: (5297) is inconsistent.
% 172.61/26.21 | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.21 | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.61/26.21 | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.21 | | | | | | | | | | | | | | | | | | | | | (5298) all_63_4 = e2 | all_63_4 = e1 | all_63_4 = e0
% 172.61/26.21 | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.21 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (262) gives:
% 172.61/26.21 | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.21 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.61/26.21 | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.21 | | | | | | | | | | | | | | | | | | | | | | (5299) all_63_9 = e3
% 172.61/26.21 | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.21 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4334), (5299) imply:
% 172.61/26.21 | | | | | | | | | | | | | | | | | | | | | | (5300) all_12_1 = e3
% 172.61/26.21 | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.21 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5294), (5300) imply:
% 172.61/26.21 | | | | | | | | | | | | | | | | | | | | | | (5301) $false
% 172.61/26.21 | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.21 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5301) is inconsistent.
% 172.61/26.21 | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.21 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.61/26.21 | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.21 | | | | | | | | | | | | | | | | | | | | | | (5302) all_63_9 = e2 | all_63_9 = e1 | all_63_9 = e0
% 172.61/26.21 | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.21 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5298) gives:
% 172.61/26.21 | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.21 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.61/26.21 | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.21 | | | | | | | | | | | | | | | | | | | | | | | (5303) all_63_4 = e2
% 172.61/26.21 | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.21 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5218), (5303) imply:
% 172.61/26.21 | | | | | | | | | | | | | | | | | | | | | | | (5304) all_61_4 = e2
% 172.61/26.21 | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.21 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4338), (5304) imply:
% 172.61/26.21 | | | | | | | | | | | | | | | | | | | | | | | (5305) ~ (all_12_1 = e2)
% 172.61/26.21 | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.21 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5305) implies:
% 172.61/26.21 | | | | | | | | | | | | | | | | | | | | | | | (5306) ~ (all_12_1 = e2)
% 172.61/26.21 | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.21 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (505), (868), (4334), (4342), (4348), (5090),
% 172.61/26.21 | | | | | | | | | | | | | | | | | | | | | | | (5283), (5302), (5306) are inconsistent by
% 172.61/26.21 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #311.
% 172.61/26.21 | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.21 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.61/26.21 | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.21 | | | | | | | | | | | | | | | | | | | | | | | (5307) all_63_4 = e1 | all_63_4 = e0
% 172.61/26.21 | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.21 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (493), (4299), (5193), (5307) are inconsistent by
% 172.61/26.21 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #472.
% 172.61/26.21 | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.21 | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.61/26.21 | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.21 | | | | | | | | | | | | | | | | | | | | | End of split
% 172.61/26.21 | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.21 | | | | | | | | | | | | | | | | | | | | End of split
% 172.61/26.21 | | | | | | | | | | | | | | | | | | | |
% 172.61/26.21 | | | | | | | | | | | | | | | | | | | Case 2:
% 172.61/26.21 | | | | | | | | | | | | | | | | | | | |
% 172.61/26.21 | | | | | | | | | | | | | | | | | | | | (5308) ~ (all_63_7 = e3)
% 172.61/26.21 | | | | | | | | | | | | | | | | | | | |
% 172.61/26.21 | | | | | | | | | | | | | | | | | | | | REDUCE: (5070), (5308) imply:
% 172.61/26.21 | | | | | | | | | | | | | | | | | | | | (5309) ~ (all_20_1 = e3)
% 172.61/26.21 | | | | | | | | | | | | | | | | | | | |
% 172.61/26.21 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (258), (5069), (5076), (5077), (5289), (5309) are
% 172.61/26.21 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #379.
% 172.61/26.21 | | | | | | | | | | | | | | | | | | | |
% 172.61/26.21 | | | | | | | | | | | | | | | | | | | End of split
% 172.61/26.21 | | | | | | | | | | | | | | | | | | |
% 172.61/26.21 | | | | | | | | | | | | | | | | | | End of split
% 172.61/26.21 | | | | | | | | | | | | | | | | | |
% 172.61/26.21 | | | | | | | | | | | | | | | | | End of split
% 172.61/26.21 | | | | | | | | | | | | | | | | |
% 172.61/26.21 | | | | | | | | | | | | | | | | End of split
% 172.61/26.21 | | | | | | | | | | | | | | | |
% 172.61/26.21 | | | | | | | | | | | | | | | End of split
% 172.61/26.21 | | | | | | | | | | | | | | |
% 172.61/26.21 | | | | | | | | | | | | | | End of split
% 172.61/26.21 | | | | | | | | | | | | | |
% 172.61/26.21 | | | | | | | | | | | | | End of split
% 172.61/26.21 | | | | | | | | | | | | |
% 172.61/26.21 | | | | | | | | | | | | End of split
% 172.61/26.21 | | | | | | | | | | | |
% 172.61/26.21 | | | | | | | | | | | Case 2:
% 172.61/26.21 | | | | | | | | | | | |
% 172.61/26.21 | | | | | | | | | | | | (5310) all_14_2 = e2
% 172.61/26.21 | | | | | | | | | | | | (5311) op(e3, e2) = all_14_1 & $i(all_14_1) & ( ~
% 172.61/26.21 | | | | | | | | | | | | (all_14_1 = e0) | ( ~ (all_14_0 = e1) & op(e0,
% 172.61/26.21 | | | | | | | | | | | | e3) = all_14_0 & $i(all_14_0)))
% 172.61/26.21 | | | | | | | | | | | |
% 172.61/26.21 | | | | | | | | | | | | ALPHA: (5311) implies:
% 172.61/26.21 | | | | | | | | | | | | (5312) op(e3, e2) = all_14_1
% 172.61/26.21 | | | | | | | | | | | | (5313) ~ (all_14_1 = e0) | ( ~ (all_14_0 = e1) & op(e0,
% 172.61/26.21 | | | | | | | | | | | | e3) = all_14_0 & $i(all_14_0))
% 172.61/26.21 | | | | | | | | | | | |
% 172.61/26.21 | | | | | | | | | | | | COMBINE_EQS: (561), (5310) imply:
% 172.61/26.21 | | | | | | | | | | | | (5314) all_26_2 = e2
% 172.61/26.21 | | | | | | | | | | | |
% 172.61/26.21 | | | | | | | | | | | | REDUCE: (595), (5310) imply:
% 172.61/26.21 | | | | | | | | | | | | (5315) ~ (all_61_2 = e2)
% 172.61/26.21 | | | | | | | | | | | |
% 172.61/26.21 | | | | | | | | | | | | REDUCE: (599), (5310) imply:
% 172.61/26.21 | | | | | | | | | | | | (5316) ~ (all_61_4 = e2)
% 172.61/26.21 | | | | | | | | | | | |
% 172.61/26.21 | | | | | | | | | | | | REDUCE: (603), (5310) imply:
% 172.61/26.21 | | | | | | | | | | | | (5317) ~ (all_61_12 = e2)
% 172.61/26.21 | | | | | | | | | | | |
% 172.61/26.21 | | | | | | | | | | | | REDUCE: (634), (5310) imply:
% 172.61/26.21 | | | | | | | | | | | | (5318) op(e2, e3) = all_65_0
% 172.61/26.21 | | | | | | | | | | | |
% 172.61/26.21 | | | | | | | | | | | | REDUCE: (635), (5310) imply:
% 172.61/26.21 | | | | | | | | | | | | (5319) op(e2, e2) = all_65_1
% 172.61/26.21 | | | | | | | | | | | |
% 172.61/26.21 | | | | | | | | | | | | REDUCE: (636), (5310) imply:
% 172.61/26.21 | | | | | | | | | | | | (5320) op(e2, e1) = all_65_2
% 172.61/26.21 | | | | | | | | | | | |
% 172.61/26.21 | | | | | | | | | | | | REDUCE: (637), (5310) imply:
% 172.61/26.21 | | | | | | | | | | | | (5321) op(e2, e0) = all_65_3
% 172.61/26.21 | | | | | | | | | | | |
% 172.61/26.21 | | | | | | | | | | | | REDUCE: (698), (5310) imply:
% 172.61/26.21 | | | | | | | | | | | | (5322) op(e3, e2) = all_65_0
% 172.61/26.21 | | | | | | | | | | | |
% 172.61/26.21 | | | | | | | | | | | | REDUCE: (67), (5310) imply:
% 172.61/26.22 | | | | | | | | | | | | (5323) op(e3, e3) = e2
% 172.61/26.22 | | | | | | | | | | | |
% 172.61/26.22 | | | | | | | | | | | | REDUCE: (715), (5310) imply:
% 172.61/26.22 | | | | | | | | | | | | (5324) op(e2, e2) = all_65_16
% 172.61/26.22 | | | | | | | | | | | |
% 172.61/26.22 | | | | | | | | | | | | REDUCE: (749), (5310) imply:
% 172.61/26.22 | | | | | | | | | | | | (5325) op(e0, e2) = all_65_49
% 172.61/26.22 | | | | | | | | | | | |
% 172.61/26.22 | | | | | | | | | | | | BETA: splitting (86) gives:
% 172.61/26.22 | | | | | | | | | | | |
% 172.61/26.22 | | | | | | | | | | | | Case 1:
% 172.61/26.22 | | | | | | | | | | | | |
% 172.61/26.22 | | | | | | | | | | | | | (5326) ~ (all_26_2 = e2)
% 172.61/26.22 | | | | | | | | | | | | |
% 172.61/26.22 | | | | | | | | | | | | | REDUCE: (5314), (5326) imply:
% 172.61/26.22 | | | | | | | | | | | | | (5327) $false
% 172.61/26.22 | | | | | | | | | | | | |
% 172.61/26.22 | | | | | | | | | | | | | CLOSE: (5327) is inconsistent.
% 172.61/26.22 | | | | | | | | | | | | |
% 172.61/26.22 | | | | | | | | | | | | Case 2:
% 172.61/26.22 | | | | | | | | | | | | |
% 172.61/26.22 | | | | | | | | | | | | | (5328) op(e3, e2) = all_26_1 & $i(all_26_1) & ( ~
% 172.61/26.22 | | | | | | | | | | | | | (all_26_1 = e1) | ( ~ (all_26_0 = e0) & op(e1,
% 172.61/26.22 | | | | | | | | | | | | | e3) = all_26_0 & $i(all_26_0)))
% 172.61/26.22 | | | | | | | | | | | | |
% 172.61/26.22 | | | | | | | | | | | | | ALPHA: (5328) implies:
% 172.61/26.22 | | | | | | | | | | | | | (5329) op(e3, e2) = all_26_1
% 172.61/26.22 | | | | | | | | | | | | |
% 172.61/26.22 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_7, all_65_49, e2,
% 172.61/26.22 | | | | | | | | | | | | | e0, simplifying with (225), (5325) gives:
% 172.61/26.22 | | | | | | | | | | | | | (5330) all_65_49 = all_61_7
% 172.61/26.22 | | | | | | | | | | | | |
% 172.61/26.22 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_13, all_65_3, e0,
% 172.61/26.22 | | | | | | | | | | | | | e2, simplifying with (231), (5321) gives:
% 172.61/26.22 | | | | | | | | | | | | | (5331) all_65_3 = all_61_13
% 172.61/26.22 | | | | | | | | | | | | |
% 172.61/26.22 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_12_1, all_65_2, e1,
% 172.61/26.22 | | | | | | | | | | | | | e2, simplifying with (4296), (5320) gives:
% 172.61/26.22 | | | | | | | | | | | | | (5332) all_65_2 = all_12_1
% 172.61/26.22 | | | | | | | | | | | | |
% 172.61/26.22 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e1, all_65_1, e2, e2,
% 172.61/26.22 | | | | | | | | | | | | | simplifying with (4309), (5319) gives:
% 172.61/26.22 | | | | | | | | | | | | | (5333) all_65_1 = e1
% 172.61/26.22 | | | | | | | | | | | | |
% 172.61/26.22 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_16, all_65_1, e2,
% 172.61/26.22 | | | | | | | | | | | | | e2, simplifying with (5319), (5324) gives:
% 172.61/26.22 | | | | | | | | | | | | | (5334) all_65_1 = all_65_16
% 172.61/26.22 | | | | | | | | | | | | |
% 172.61/26.22 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_1, all_65_0, e3,
% 172.61/26.22 | | | | | | | | | | | | | e2, simplifying with (234), (5318) gives:
% 172.61/26.22 | | | | | | | | | | | | | (5335) all_65_0 = all_61_1
% 172.61/26.22 | | | | | | | | | | | | |
% 172.61/26.22 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_4, all_26_1, e2,
% 172.61/26.22 | | | | | | | | | | | | | e3, simplifying with (237), (5329) gives:
% 172.61/26.22 | | | | | | | | | | | | | (5336) all_61_4 = all_26_1
% 172.61/26.22 | | | | | | | | | | | | |
% 172.61/26.22 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_4, all_65_0, e2,
% 172.61/26.22 | | | | | | | | | | | | | e3, simplifying with (237), (5322) gives:
% 172.61/26.22 | | | | | | | | | | | | | (5337) all_65_0 = all_61_4
% 172.61/26.22 | | | | | | | | | | | | |
% 172.61/26.22 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_14_1, all_65_0, e2,
% 172.61/26.22 | | | | | | | | | | | | | e3, simplifying with (5312), (5322) gives:
% 172.61/26.22 | | | | | | | | | | | | | (5338) all_65_0 = all_14_1
% 172.61/26.22 | | | | | | | | | | | | |
% 172.61/26.22 | | | | | | | | | | | | | COMBINE_EQS: (5337), (5338) imply:
% 172.61/26.22 | | | | | | | | | | | | | (5339) all_61_4 = all_14_1
% 172.61/26.22 | | | | | | | | | | | | |
% 172.61/26.22 | | | | | | | | | | | | | SIMP: (5339) implies:
% 172.61/26.22 | | | | | | | | | | | | | (5340) all_61_4 = all_14_1
% 172.61/26.22 | | | | | | | | | | | | |
% 172.61/26.22 | | | | | | | | | | | | | COMBINE_EQS: (5335), (5338) imply:
% 172.61/26.22 | | | | | | | | | | | | | (5341) all_61_1 = all_14_1
% 172.61/26.22 | | | | | | | | | | | | |
% 172.61/26.22 | | | | | | | | | | | | | SIMP: (5341) implies:
% 172.61/26.22 | | | | | | | | | | | | | (5342) all_61_1 = all_14_1
% 172.61/26.22 | | | | | | | | | | | | |
% 172.61/26.22 | | | | | | | | | | | | | COMBINE_EQS: (5333), (5334) imply:
% 172.61/26.22 | | | | | | | | | | | | | (5343) all_65_16 = e1
% 172.61/26.22 | | | | | | | | | | | | |
% 172.61/26.22 | | | | | | | | | | | | | SIMP: (5343) implies:
% 172.61/26.22 | | | | | | | | | | | | | (5344) all_65_16 = e1
% 172.61/26.22 | | | | | | | | | | | | |
% 172.61/26.22 | | | | | | | | | | | | | COMBINE_EQS: (5336), (5340) imply:
% 172.61/26.22 | | | | | | | | | | | | | (5345) all_26_1 = all_14_1
% 172.61/26.22 | | | | | | | | | | | | |
% 172.61/26.22 | | | | | | | | | | | | | COMBINE_EQS: (493), (5342) imply:
% 172.61/26.22 | | | | | | | | | | | | | (5346) all_63_4 = all_14_1
% 172.61/26.22 | | | | | | | | | | | | |
% 172.61/26.22 | | | | | | | | | | | | | REDUCE: (216), (5342) imply:
% 172.61/26.22 | | | | | | | | | | | | | (5347) ~ (all_61_2 = all_14_1)
% 172.61/26.22 | | | | | | | | | | | | |
% 172.61/26.22 | | | | | | | | | | | | | SIMP: (5347) implies:
% 172.61/26.22 | | | | | | | | | | | | | (5348) ~ (all_61_2 = all_14_1)
% 172.61/26.22 | | | | | | | | | | | | |
% 172.61/26.22 | | | | | | | | | | | | | REDUCE: (212), (5342) imply:
% 172.61/26.22 | | | | | | | | | | | | | (5349) ~ (all_61_13 = all_14_1)
% 172.61/26.22 | | | | | | | | | | | | |
% 172.61/26.22 | | | | | | | | | | | | | SIMP: (5349) implies:
% 172.61/26.22 | | | | | | | | | | | | | (5350) ~ (all_61_13 = all_14_1)
% 172.61/26.22 | | | | | | | | | | | | |
% 172.61/26.22 | | | | | | | | | | | | | REDUCE: (200), (5340) imply:
% 172.61/26.22 | | | | | | | | | | | | | (5351) ~ (all_61_12 = all_14_1)
% 172.61/26.22 | | | | | | | | | | | | |
% 172.61/26.22 | | | | | | | | | | | | | SIMP: (5351) implies:
% 172.61/26.22 | | | | | | | | | | | | | (5352) ~ (all_61_12 = all_14_1)
% 172.61/26.22 | | | | | | | | | | | | |
% 172.61/26.22 | | | | | | | | | | | | | REDUCE: (4338), (5340) imply:
% 172.61/26.22 | | | | | | | | | | | | | (5353) ~ (all_14_1 = all_12_1)
% 172.61/26.22 | | | | | | | | | | | | |
% 172.61/26.22 | | | | | | | | | | | | | REDUCE: (5316), (5340) imply:
% 172.61/26.22 | | | | | | | | | | | | | (5354) ~ (all_14_1 = e2)
% 172.61/26.22 | | | | | | | | | | | | |
% 172.61/26.22 | | | | | | | | | | | | | REDUCE: (4300), (5340) imply:
% 172.61/26.22 | | | | | | | | | | | | | (5355) ~ (all_14_1 = e1)
% 172.61/26.22 | | | | | | | | | | | | |
% 172.61/26.22 | | | | | | | | | | | | | REDUCE: (650), (5342), (5344) imply:
% 172.61/26.22 | | | | | | | | | | | | | (5356) op(all_14_1, e3) = e1
% 172.61/26.22 | | | | | | | | | | | | |
% 172.61/26.22 | | | | | | | | | | | | | REDUCE: (651), (5342) imply:
% 172.61/26.22 | | | | | | | | | | | | | (5357) op(all_14_1, e2) = all_65_17
% 172.61/26.22 | | | | | | | | | | | | |
% 172.61/26.22 | | | | | | | | | | | | | REDUCE: (682), (5330) imply:
% 172.61/26.22 | | | | | | | | | | | | | (5358) op(all_61_3, e3) = all_61_7
% 172.61/26.22 | | | | | | | | | | | | |
% 172.61/26.22 | | | | | | | | | | | | | REDUCE: (638), (5340) imply:
% 172.61/26.22 | | | | | | | | | | | | | (5359) op(all_14_1, e3) = all_65_4
% 172.61/26.22 | | | | | | | | | | | | |
% 172.61/26.22 | | | | | | | | | | | | | REDUCE: (4349), (5340) imply:
% 172.61/26.22 | | | | | | | | | | | | | (5360) op(all_14_1, e2) = all_61_8
% 172.61/26.22 | | | | | | | | | | | | |
% 172.61/26.22 | | | | | | | | | | | | | REDUCE: (701), (5331) imply:
% 172.61/26.22 | | | | | | | | | | | | | (5361) op(e3, all_61_12) = all_61_13
% 172.61/26.22 | | | | | | | | | | | | |
% 172.61/26.22 | | | | | | | | | | | | | REDUCE: (4355), (5342) imply:
% 172.61/26.22 | | | | | | | | | | | | | (5362) op(e2, all_14_1) = all_61_2
% 172.61/26.22 | | | | | | | | | | | | |
% 172.61/26.22 | | | | | | | | | | | | | REDUCE: (716), (5340) imply:
% 172.61/26.22 | | | | | | | | | | | | | (5363) op(e2, all_14_1) = all_65_17
% 172.61/26.22 | | | | | | | | | | | | |
% 172.61/26.22 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_2, all_65_17,
% 172.61/26.22 | | | | | | | | | | | | | all_14_1, e2, simplifying with (5362), (5363)
% 172.61/26.22 | | | | | | | | | | | | | gives:
% 172.61/26.22 | | | | | | | | | | | | | (5364) all_65_17 = all_61_2
% 172.61/26.22 | | | | | | | | | | | | |
% 172.61/26.22 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_8, all_65_17, e2,
% 172.61/26.22 | | | | | | | | | | | | | all_14_1, simplifying with (5357), (5360) gives:
% 172.61/26.22 | | | | | | | | | | | | | (5365) all_65_17 = all_61_8
% 172.61/26.22 | | | | | | | | | | | | |
% 172.61/26.22 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e1, all_65_4, e3,
% 172.61/26.22 | | | | | | | | | | | | | all_14_1, simplifying with (5356), (5359) gives:
% 172.61/26.22 | | | | | | | | | | | | | (5366) all_65_4 = e1
% 172.61/26.22 | | | | | | | | | | | | |
% 172.61/26.22 | | | | | | | | | | | | | COMBINE_EQS: (5364), (5365) imply:
% 172.61/26.22 | | | | | | | | | | | | | (5367) all_61_2 = all_61_8
% 172.61/26.22 | | | | | | | | | | | | |
% 172.61/26.22 | | | | | | | | | | | | | SIMP: (5367) implies:
% 172.61/26.22 | | | | | | | | | | | | | (5368) all_61_2 = all_61_8
% 172.61/26.22 | | | | | | | | | | | | |
% 172.61/26.22 | | | | | | | | | | | | | REDUCE: (5348), (5368) imply:
% 172.61/26.22 | | | | | | | | | | | | | (5369) ~ (all_61_8 = all_14_1)
% 172.61/26.22 | | | | | | | | | | | | |
% 172.61/26.22 | | | | | | | | | | | | | REDUCE: (5315), (5368) imply:
% 172.61/26.22 | | | | | | | | | | | | | (5370) ~ (all_61_8 = e2)
% 172.61/26.22 | | | | | | | | | | | | |
% 172.61/26.22 | | | | | | | | | | | | | BETA: splitting (77) gives:
% 172.61/26.22 | | | | | | | | | | | | |
% 172.61/26.22 | | | | | | | | | | | | | Case 1:
% 172.61/26.22 | | | | | | | | | | | | | |
% 172.61/26.22 | | | | | | | | | | | | | | (5371) ~ (all_20_2 = e2)
% 172.61/26.22 | | | | | | | | | | | | | |
% 172.61/26.22 | | | | | | | | | | | | | | BETA: splitting (89) gives:
% 172.61/26.22 | | | | | | | | | | | | | |
% 172.61/26.22 | | | | | | | | | | | | | | Case 1:
% 172.61/26.22 | | | | | | | | | | | | | | |
% 172.61/26.22 | | | | | | | | | | | | | | | (5372) ~ (all_28_2 = e3)
% 172.61/26.22 | | | | | | | | | | | | | | |
% 172.61/26.22 | | | | | | | | | | | | | | | REDUCE: (563), (5372) imply:
% 172.61/26.22 | | | | | | | | | | | | | | | (5373) ~ (all_20_2 = e3)
% 172.61/26.22 | | | | | | | | | | | | | | |
% 172.61/26.22 | | | | | | | | | | | | | | | BETA: splitting (110) gives:
% 172.61/26.22 | | | | | | | | | | | | | | |
% 172.61/26.22 | | | | | | | | | | | | | | | Case 1:
% 172.61/26.22 | | | | | | | | | | | | | | | |
% 172.61/26.22 | | | | | | | | | | | | | | | | (5374) ~ (all_42_2 = e1)
% 172.61/26.22 | | | | | | | | | | | | | | | |
% 172.61/26.22 | | | | | | | | | | | | | | | | REDUCE: (532), (5374) imply:
% 172.61/26.22 | | | | | | | | | | | | | | | | (5375) ~ (all_20_2 = e1)
% 172.61/26.22 | | | | | | | | | | | | | | | |
% 172.61/26.22 | | | | | | | | | | | | | | | | BETA: splitting (256) gives:
% 172.61/26.22 | | | | | | | | | | | | | | | |
% 172.61/26.22 | | | | | | | | | | | | | | | | Case 1:
% 172.61/26.22 | | | | | | | | | | | | | | | | |
% 172.61/26.22 | | | | | | | | | | | | | | | | | (5376) all_63_15 = e3
% 172.61/26.22 | | | | | | | | | | | | | | | | |
% 172.61/26.22 | | | | | | | | | | | | | | | | | REF_CLOSE: (422), (5373), (5376) are inconsistent by
% 172.61/26.22 | | | | | | | | | | | | | | | | | sub-proof #501.
% 172.61/26.22 | | | | | | | | | | | | | | | | |
% 172.61/26.22 | | | | | | | | | | | | | | | | Case 2:
% 172.61/26.22 | | | | | | | | | | | | | | | | |
% 172.61/26.22 | | | | | | | | | | | | | | | | | (5377) all_63_15 = e2 | all_63_15 = e1 | all_63_15 = e0
% 172.61/26.22 | | | | | | | | | | | | | | | | |
% 172.61/26.22 | | | | | | | | | | | | | | | | | BETA: splitting (5377) gives:
% 172.61/26.22 | | | | | | | | | | | | | | | | |
% 172.61/26.22 | | | | | | | | | | | | | | | | | Case 1:
% 172.61/26.22 | | | | | | | | | | | | | | | | | |
% 172.61/26.22 | | | | | | | | | | | | | | | | | | (5378) all_63_15 = e2
% 172.61/26.22 | | | | | | | | | | | | | | | | | |
% 172.61/26.22 | | | | | | | | | | | | | | | | | | REF_CLOSE: (422), (5371), (5378) are inconsistent by
% 172.61/26.22 | | | | | | | | | | | | | | | | | | sub-proof #500.
% 172.61/26.22 | | | | | | | | | | | | | | | | | |
% 172.61/26.22 | | | | | | | | | | | | | | | | | Case 2:
% 172.61/26.22 | | | | | | | | | | | | | | | | | |
% 172.61/26.22 | | | | | | | | | | | | | | | | | | (5379) all_63_15 = e1 | all_63_15 = e0
% 172.61/26.22 | | | | | | | | | | | | | | | | | |
% 172.61/26.22 | | | | | | | | | | | | | | | | | | BETA: splitting (5379) gives:
% 172.61/26.22 | | | | | | | | | | | | | | | | | |
% 172.61/26.22 | | | | | | | | | | | | | | | | | | Case 1:
% 172.61/26.22 | | | | | | | | | | | | | | | | | | |
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | (5380) all_63_15 = e1
% 172.61/26.22 | | | | | | | | | | | | | | | | | | |
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (422), (5375), (5380) are inconsistent by
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | sub-proof #499.
% 172.61/26.22 | | | | | | | | | | | | | | | | | | |
% 172.61/26.22 | | | | | | | | | | | | | | | | | | Case 2:
% 172.61/26.22 | | | | | | | | | | | | | | | | | | |
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | (5381) all_63_15 = e0
% 172.61/26.22 | | | | | | | | | | | | | | | | | | |
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (422), (5381) imply:
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | (5382) all_20_2 = e0
% 172.61/26.22 | | | | | | | | | | | | | | | | | | |
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | SIMP: (5382) implies:
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | (5383) all_20_2 = e0
% 172.61/26.22 | | | | | | | | | | | | | | | | | | |
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | REDUCE: (626), (5383) imply:
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | (5384) ~ (all_61_13 = e0)
% 172.61/26.22 | | | | | | | | | | | | | | | | | | |
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | REDUCE: (627), (5383) imply:
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | (5385) ~ (all_61_14 = e0)
% 172.61/26.22 | | | | | | | | | | | | | | | | | | |
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | REDUCE: (695), (5383) imply:
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | (5386) op(e0, e2) = all_65_75
% 172.61/26.22 | | | | | | | | | | | | | | | | | | |
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | REDUCE: (730), (5383) imply:
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | (5387) op(e2, e0) = all_65_31
% 172.61/26.22 | | | | | | | | | | | | | | | | | | |
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | REDUCE: (747), (5383) imply:
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | (5388) op(e1, e0) = all_65_47
% 172.61/26.22 | | | | | | | | | | | | | | | | | | |
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_7, all_65_75, e2,
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | e0, simplifying with (225), (5386) gives:
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | (5389) all_65_75 = all_61_7
% 172.61/26.22 | | | | | | | | | | | | | | | | | | |
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_14, all_65_47, e0,
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | e1, simplifying with (227), (5388) gives:
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | (5390) all_65_47 = all_61_14
% 172.61/26.22 | | | | | | | | | | | | | | | | | | |
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_13, all_65_31, e0,
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | e2, simplifying with (231), (5387) gives:
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | (5391) all_65_31 = all_61_13
% 172.61/26.22 | | | | | | | | | | | | | | | | | | |
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | BETA: splitting (163) gives:
% 172.61/26.22 | | | | | | | | | | | | | | | | | | |
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | Case 1:
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | |
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | | (5392) ~ (all_58_1 = e0)
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | |
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | | REDUCE: (481), (5392) imply:
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | | (5393) ~ (all_52_1 = e0)
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | |
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | | BETA: splitting (158) gives:
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | |
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | | | (5394) ~ (all_58_3 = e2)
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | | | REDUCE: (475), (5394) imply:
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | | | (5395) ~ (all_52_3 = e2)
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (161) gives:
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | | | | (5396) ~ (all_58_2 = e2)
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (478), (5396) imply:
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | | | | (5397) ~ (all_52_2 = e2)
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (162) gives:
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | | | | | (5398) ~ (all_58_2 = e3)
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (478), (5398) imply:
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | | | | | (5399) ~ (all_52_2 = e3)
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (167) gives:
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | | | | | | (5400) ~ (all_58_0 = e1)
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (484), (5400) imply:
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | | | | | | (5401) ~ (all_52_0 = e1)
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (160) gives:
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | (5402) ~ (all_58_2 = e0)
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (478), (5402) imply:
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | (5403) ~ (all_52_2 = e0)
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (50), (149), (162), (227), (478), (484),
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | (538), (748), (876), (5385), (5397), (5401),
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | (5403) are inconsistent by sub-proof #469.
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | (5404) all_58_3 = e1
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | (5405) all_58_2 = e0
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (478), (5405) imply:
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | (5406) all_52_2 = e0
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (475), (5404) imply:
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | (5407) all_52_3 = e1
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5407) implies:
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | (5408) all_52_3 = e1
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (629), (5406) imply:
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | (5409) ~ (all_52_0 = e0)
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (20), (50), (151), (165), (168), (267),
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | (481), (484), (534), (714), (851), (852), (4309),
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | (5312), (5313), (5323), (5346), (5354), (5355),
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | (5356), (5401), (5409) are inconsistent by
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #302.
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | | | | | | (5410) all_58_2 = e3
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (478), (5399), (5410) are inconsistent by
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #507.
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | | | | | (5411) all_58_2 = e3
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | | | | | (5412) all_58_0 = e1
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (484), (5412) imply:
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | | | | | (5413) all_52_0 = e1
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5413) implies:
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | | | | | (5414) all_52_0 = e1
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (478), (5411) imply:
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | | | | | (5415) all_52_2 = e3
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (50), (150), (236), (536), (628), (631), (714),
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | | | | | (731), (865), (4309), (5393), (5414), (5415) are
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #301.
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | | | | (5416) all_58_2 = e2
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | | | | (5417) all_58_1 = e1
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (50), (478), (481), (631), (731), (4296),
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | | | | (4350), (5416), (5417) are inconsistent by
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | | | | sub-proof #321.
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | | | End of split
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | | | (5418) all_58_1 = e0
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (481), (5393), (5418) are inconsistent by
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | | | sub-proof #462.
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | | End of split
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | |
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | Case 2:
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | |
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | | (5419) all_58_3 = e2
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | | (5420) all_58_1 = e0
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | |
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (481), (5420) imply:
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | | (5421) all_52_1 = e0
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | |
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | | SIMP: (5421) implies:
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | | (5422) all_52_1 = e0
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | |
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (475), (5419) imply:
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | | (5423) all_52_3 = e2
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | |
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | | SIMP: (5423) implies:
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | | (5424) all_52_3 = e2
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | |
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | | REDUCE: (731), (5422) imply:
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | | (5425) op(e2, e0) = unit
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | |
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | | REDUCE: (765), (5424) imply:
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | | (5426) op(e0, e2) = unit
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | |
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_7, unit, e2, e0,
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | | simplifying with (225), (5426) gives:
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | | (5427) all_61_7 = unit
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | |
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_13, unit, e0, e2,
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | | simplifying with (231), (5425) gives:
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | | (5428) all_61_13 = unit
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | |
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | | REDUCE: (177), (5428) imply:
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | | (5429) ~ (all_61_14 = unit)
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | |
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | | SIMP: (5429) implies:
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | | (5430) ~ (all_61_14 = unit)
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | |
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | | REDUCE: (4302), (5428) imply:
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | | (5431) ~ (unit = e1)
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | |
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | | REDUCE: (5384), (5428) imply:
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | | (5432) ~ (unit = e0)
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | |
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | | BETA: splitting (852) gives:
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | |
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | | | (5433) unit = e2
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | | | REDUCE: (5430), (5433) imply:
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | | | (5434) ~ (all_61_14 = e2)
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (50), (225), (231), (663), (728), (4352),
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | | | (4356), (5425), (5426), (5434) are inconsistent by
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | | | sub-proof #326.
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | | | (5435) unit = e1 | unit = e0
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5431), (5432), (5435) are inconsistent by
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | | | sub-proof #419.
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | | End of split
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | |
% 172.61/26.22 | | | | | | | | | | | | | | | | | | | End of split
% 172.61/26.22 | | | | | | | | | | | | | | | | | | |
% 172.61/26.22 | | | | | | | | | | | | | | | | | | End of split
% 172.61/26.22 | | | | | | | | | | | | | | | | | |
% 172.61/26.22 | | | | | | | | | | | | | | | | | End of split
% 172.61/26.22 | | | | | | | | | | | | | | | | |
% 172.61/26.22 | | | | | | | | | | | | | | | | End of split
% 172.61/26.22 | | | | | | | | | | | | | | | |
% 172.61/26.22 | | | | | | | | | | | | | | | Case 2:
% 172.61/26.22 | | | | | | | | | | | | | | | |
% 172.61/26.22 | | | | | | | | | | | | | | | | (5436) all_42_2 = e1
% 172.61/26.22 | | | | | | | | | | | | | | | | (5437) op(e0, e1) = all_42_1 & $i(all_42_1) & ( ~
% 172.61/26.22 | | | | | | | | | | | | | | | | (all_42_1 = e3) | ( ~ (all_42_0 = e2) & op(e3,
% 172.61/26.22 | | | | | | | | | | | | | | | | e0) = all_42_0 & $i(all_42_0)))
% 172.61/26.22 | | | | | | | | | | | | | | | |
% 172.61/26.22 | | | | | | | | | | | | | | | | ALPHA: (5437) implies:
% 172.61/26.22 | | | | | | | | | | | | | | | | (5438) op(e0, e1) = all_42_1
% 172.61/26.22 | | | | | | | | | | | | | | | |
% 172.61/26.22 | | | | | | | | | | | | | | | | COMBINE_EQS: (532), (5436) imply:
% 172.61/26.22 | | | | | | | | | | | | | | | | (5439) all_20_2 = e1
% 172.61/26.22 | | | | | | | | | | | | | | | |
% 172.61/26.22 | | | | | | | | | | | | | | | | SIMP: (5439) implies:
% 172.61/26.22 | | | | | | | | | | | | | | | | (5440) all_20_2 = e1
% 172.61/26.22 | | | | | | | | | | | | | | | |
% 172.61/26.22 | | | | | | | | | | | | | | | | REDUCE: (625), (5440) imply:
% 172.61/26.23 | | | | | | | | | | | | | | | | (5441) ~ (all_61_12 = e1)
% 172.61/26.23 | | | | | | | | | | | | | | | |
% 172.61/26.23 | | | | | | | | | | | | | | | | REDUCE: (696), (5440) imply:
% 172.61/26.23 | | | | | | | | | | | | | | | | (5442) op(e1, e1) = all_65_77
% 172.61/26.23 | | | | | | | | | | | | | | | |
% 172.61/26.23 | | | | | | | | | | | | | | | | REDUCE: (697), (5440) imply:
% 172.61/26.23 | | | | | | | | | | | | | | | | (5443) op(e1, e0) = all_65_78
% 172.61/26.23 | | | | | | | | | | | | | | | |
% 172.61/26.23 | | | | | | | | | | | | | | | | REDUCE: (713), (5440) imply:
% 172.61/26.23 | | | | | | | | | | | | | | | | (5444) op(e3, e1) = all_65_15
% 172.61/26.23 | | | | | | | | | | | | | | | |
% 172.61/26.23 | | | | | | | | | | | | | | | | REDUCE: (730), (5440) imply:
% 172.61/26.23 | | | | | | | | | | | | | | | | (5445) op(e2, e1) = all_65_31
% 172.61/26.23 | | | | | | | | | | | | | | | |
% 172.61/26.23 | | | | | | | | | | | | | | | | REDUCE: (747), (5440) imply:
% 172.61/26.23 | | | | | | | | | | | | | | | | (5446) op(e1, e1) = all_65_47
% 172.61/26.23 | | | | | | | | | | | | | | | |
% 172.61/26.23 | | | | | | | | | | | | | | | | REDUCE: (764), (5440) imply:
% 172.61/26.23 | | | | | | | | | | | | | | | | (5447) op(e0, e1) = all_65_78
% 172.61/26.23 | | | | | | | | | | | | | | | |
% 172.61/26.23 | | | | | | | | | | | | | | | | REDUCE: (76), (5440) imply:
% 172.61/26.23 | | | | | | | | | | | | | | | | (5448) op(e0, e0) = e1
% 172.61/26.23 | | | | | | | | | | | | | | | |
% 172.61/26.23 | | | | | | | | | | | | | | | | BETA: splitting (171) gives:
% 172.61/26.23 | | | | | | | | | | | | | | | |
% 172.61/26.23 | | | | | | | | | | | | | | | | Case 1:
% 172.61/26.23 | | | | | | | | | | | | | | | | |
% 172.61/26.23 | | | | | | | | | | | | | | | | | (5449) ( ~ (all_60_0 = e1) & op(e3, e3) = all_60_0 &
% 172.61/26.23 | | | | | | | | | | | | | | | | | $i(all_60_0)) | ( ~ (all_60_1 = e1) & op(e2, e2)
% 172.61/26.23 | | | | | | | | | | | | | | | | | = all_60_1 & $i(all_60_1))
% 172.61/26.23 | | | | | | | | | | | | | | | | |
% 172.61/26.23 | | | | | | | | | | | | | | | | | BETA: splitting (5449) gives:
% 172.61/26.23 | | | | | | | | | | | | | | | | |
% 172.61/26.23 | | | | | | | | | | | | | | | | | Case 1:
% 172.61/26.23 | | | | | | | | | | | | | | | | | |
% 172.61/26.23 | | | | | | | | | | | | | | | | | | (5450) ~ (all_60_0 = e1) & op(e3, e3) = all_60_0 &
% 172.61/26.23 | | | | | | | | | | | | | | | | | | $i(all_60_0)
% 172.61/26.23 | | | | | | | | | | | | | | | | | |
% 172.61/26.23 | | | | | | | | | | | | | | | | | | ALPHA: (5450) implies:
% 172.61/26.23 | | | | | | | | | | | | | | | | | | (5451) ~ (all_60_0 = e1)
% 172.61/26.23 | | | | | | | | | | | | | | | | | | (5452) op(e3, e3) = all_60_0
% 172.61/26.23 | | | | | | | | | | | | | | | | | |
% 172.61/26.23 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_11, all_65_78, e1,
% 172.61/26.23 | | | | | | | | | | | | | | | | | | e0, simplifying with (224), (5447) gives:
% 172.61/26.23 | | | | | | | | | | | | | | | | | | (5453) all_65_78 = all_61_11
% 172.61/26.23 | | | | | | | | | | | | | | | | | |
% 172.61/26.23 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_42_1, all_65_78, e1,
% 172.61/26.23 | | | | | | | | | | | | | | | | | | e0, simplifying with (5438), (5447) gives:
% 172.61/26.23 | | | | | | | | | | | | | | | | | | (5454) all_65_78 = all_42_1
% 172.61/26.23 | | | | | | | | | | | | | | | | | |
% 172.61/26.23 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_14, all_65_78, e0,
% 172.61/26.23 | | | | | | | | | | | | | | | | | | e1, simplifying with (227), (5443) gives:
% 172.61/26.23 | | | | | | | | | | | | | | | | | | (5455) all_65_78 = all_61_14
% 172.61/26.23 | | | | | | | | | | | | | | | | | |
% 172.61/26.23 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_12_1, all_65_31, e1,
% 172.61/26.23 | | | | | | | | | | | | | | | | | | e2, simplifying with (4296), (5445) gives:
% 172.61/26.23 | | | | | | | | | | | | | | | | | | (5456) all_65_31 = all_12_1
% 172.61/26.23 | | | | | | | | | | | | | | | | | |
% 172.61/26.23 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_8, all_65_15, e1,
% 172.61/26.23 | | | | | | | | | | | | | | | | | | e3, simplifying with (236), (5444) gives:
% 172.61/26.23 | | | | | | | | | | | | | | | | | | (5457) all_65_15 = all_61_8
% 172.61/26.23 | | | | | | | | | | | | | | | | | |
% 172.61/26.23 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e2, all_60_0, e3, e3,
% 172.61/26.23 | | | | | | | | | | | | | | | | | | simplifying with (5323), (5452) gives:
% 172.61/26.23 | | | | | | | | | | | | | | | | | | (5458) all_60_0 = e2
% 172.61/26.23 | | | | | | | | | | | | | | | | | |
% 172.61/26.23 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5453), (5455) imply:
% 172.61/26.23 | | | | | | | | | | | | | | | | | | (5459) all_61_11 = all_61_14
% 172.61/26.23 | | | | | | | | | | | | | | | | | |
% 172.61/26.23 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5453), (5454) imply:
% 172.61/26.23 | | | | | | | | | | | | | | | | | | (5460) all_61_11 = all_42_1
% 172.61/26.23 | | | | | | | | | | | | | | | | | |
% 172.61/26.23 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5459), (5460) imply:
% 172.61/26.23 | | | | | | | | | | | | | | | | | | (5461) all_61_14 = all_42_1
% 172.61/26.23 | | | | | | | | | | | | | | | | | |
% 172.61/26.23 | | | | | | | | | | | | | | | | | | SIMP: (5461) implies:
% 172.61/26.23 | | | | | | | | | | | | | | | | | | (5462) all_61_14 = all_42_1
% 172.61/26.23 | | | | | | | | | | | | | | | | | |
% 172.61/26.23 | | | | | | | | | | | | | | | | | | REDUCE: (177), (5462) imply:
% 172.61/26.23 | | | | | | | | | | | | | | | | | | (5463) ~ (all_61_13 = all_42_1)
% 172.61/26.23 | | | | | | | | | | | | | | | | | |
% 172.61/26.23 | | | | | | | | | | | | | | | | | | REDUCE: (4352), (5460) imply:
% 172.61/26.23 | | | | | | | | | | | | | | | | | | (5464) op(all_61_7, e2) = all_42_1
% 172.61/26.23 | | | | | | | | | | | | | | | | | |
% 172.61/26.23 | | | | | | | | | | | | | | | | | | REDUCE: (665), (5456) imply:
% 172.61/26.23 | | | | | | | | | | | | | | | | | | (5465) op(all_61_13, e0) = all_12_1
% 172.61/26.23 | | | | | | | | | | | | | | | | | |
% 172.61/26.23 | | | | | | | | | | | | | | | | | | BETA: splitting (159) gives:
% 172.61/26.23 | | | | | | | | | | | | | | | | | |
% 172.61/26.23 | | | | | | | | | | | | | | | | | | Case 1:
% 172.61/26.23 | | | | | | | | | | | | | | | | | | |
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | (5466) ~ (all_58_3 = e3)
% 172.61/26.23 | | | | | | | | | | | | | | | | | | |
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | REDUCE: (475), (5466) imply:
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | (5467) ~ (all_52_3 = e3)
% 172.61/26.23 | | | | | | | | | | | | | | | | | | |
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | BETA: splitting (166) gives:
% 172.61/26.23 | | | | | | | | | | | | | | | | | | |
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | Case 1:
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | |
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | | (5468) ~ (all_58_0 = e0)
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | |
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | | REDUCE: (484), (5468) imply:
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | | (5469) ~ (all_52_0 = e0)
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | |
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | | BETA: splitting (158) gives:
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | |
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | | | (5470) ~ (all_58_3 = e2)
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | | | REDUCE: (475), (5470) imply:
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | | | (5471) ~ (all_52_3 = e2)
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (163) gives:
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | | | | (5472) ~ (all_58_1 = e0)
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (481), (5472) imply:
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | | | | (5473) ~ (all_52_1 = e0)
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (167) gives:
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | | | | | (5474) ~ (all_58_0 = e1)
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (484), (5474) imply:
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | | | | | (5475) ~ (all_52_0 = e1)
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (20), (50), (151), (165), (168), (267),
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | | | | | (481), (484), (534), (714), (851), (852), (4309),
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | | | | | (5312), (5313), (5323), (5346), (5354), (5355),
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | | | | | (5356), (5469), (5475) are inconsistent by
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #302.
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | | | | | (5476) all_58_2 = e3
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | | | | | (5477) all_58_0 = e1
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (484), (5477) imply:
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | | | | | (5478) all_52_0 = e1
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5478) implies:
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | | | | | (5479) all_52_0 = e1
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (478), (5476) imply:
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | | | | | (5480) all_52_2 = e3
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5480) implies:
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | | | | | (5481) all_52_2 = e3
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (50), (150), (236), (536), (628), (631), (714),
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | | | | | (731), (865), (4309), (5473), (5479), (5481) are
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #301.
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | | | | (5482) all_58_3 = e2
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (475), (5471), (5482) are inconsistent by
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | | | | sub-proof #459.
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | | | End of split
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | | | (5483) all_58_3 = e2
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | | | (5484) all_58_1 = e0
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (481), (5484) imply:
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | | | (5485) all_52_1 = e0
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | | | SIMP: (5485) implies:
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | | | (5486) all_52_1 = e0
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (475), (5483) imply:
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | | | (5487) all_52_3 = e2
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | | | REDUCE: (731), (5486) imply:
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | | | (5488) op(e2, e0) = unit
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | | | REDUCE: (765), (5487) imply:
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | | | (5489) op(e0, e2) = unit
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_7, unit, e2, e0,
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | | | simplifying with (225), (5489) gives:
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | | | (5490) all_61_7 = unit
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_13, unit, e0, e2,
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | | | simplifying with (231), (5488) gives:
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | | | (5491) all_61_13 = unit
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | | | REDUCE: (5463), (5491) imply:
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | | | (5492) ~ (all_42_1 = unit)
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | | | SIMP: (5492) implies:
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | | | (5493) ~ (all_42_1 = unit)
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | | | REDUCE: (4347), (5491) imply:
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | | | (5494) ~ (all_12_1 = unit)
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | | | SIMP: (5494) implies:
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | | | (5495) ~ (all_12_1 = unit)
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | | | REDUCE: (4302), (5491) imply:
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | | | (5496) ~ (unit = e1)
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | | | REDUCE: (5464), (5490) imply:
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | | | (5497) op(unit, e2) = all_42_1
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | | | REDUCE: (689), (5490) imply:
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | | | (5498) op(unit, e0) = all_65_63
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | | | REDUCE: (663), (5491) imply:
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | | | (5499) op(unit, e2) = all_65_29
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | | | REDUCE: (5465), (5491) imply:
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | | | (5500) op(unit, e0) = all_12_1
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e0, all_65_63, e0, unit,
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | | | simplifying with (7), (5498) gives:
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | | | (5501) all_65_63 = e0
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_12_1, all_65_63, e0,
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | | | unit, simplifying with (5498), (5500) gives:
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | | | (5502) all_65_63 = all_12_1
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e2, all_65_29, e2, unit,
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | | | simplifying with (9), (5499) gives:
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | | | (5503) all_65_29 = e2
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_42_1, all_65_29, e2,
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | | | unit, simplifying with (5497), (5499) gives:
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | | | (5504) all_65_29 = all_42_1
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5503), (5504) imply:
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | | | (5505) all_42_1 = e2
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | | | SIMP: (5505) implies:
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | | | (5506) all_42_1 = e2
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5501), (5502) imply:
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | | | (5507) all_12_1 = e0
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | | | SIMP: (5507) implies:
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | | | (5508) all_12_1 = e0
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (852), (5493), (5495), (5496), (5506), (5508) are
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #318.
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | | End of split
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | |
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | Case 2:
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | |
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | | (5509) all_58_3 = e3
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | |
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (475), (5467), (5509) are inconsistent by
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | | sub-proof #509.
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | |
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | End of split
% 172.61/26.23 | | | | | | | | | | | | | | | | | | |
% 172.61/26.23 | | | | | | | | | | | | | | | | | | Case 2:
% 172.61/26.23 | | | | | | | | | | | | | | | | | | |
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | (5510) all_58_0 = e0
% 172.61/26.23 | | | | | | | | | | | | | | | | | | |
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (484), (5510) imply:
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | (5511) all_52_0 = e0
% 172.61/26.23 | | | | | | | | | | | | | | | | | | |
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | SIMP: (5511) implies:
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | (5512) all_52_0 = e0
% 172.61/26.23 | | | | | | | | | | | | | | | | | | |
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | REDUCE: (714), (5512) imply:
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | (5513) op(e3, e0) = unit
% 172.61/26.23 | | | | | | | | | | | | | | | | | | |
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_12, unit, e0, e3,
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | simplifying with (235), (5513) gives:
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | (5514) all_61_12 = unit
% 172.61/26.23 | | | | | | | | | | | | | | | | | | |
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (491), (5514) imply:
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | (5515) all_63_3 = unit
% 172.61/26.23 | | | | | | | | | | | | | | | | | | |
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | REDUCE: (187), (5514) imply:
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | (5516) ~ (all_61_8 = unit)
% 172.61/26.23 | | | | | | | | | | | | | | | | | | |
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | REDUCE: (5352), (5514) imply:
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | (5517) ~ (all_14_1 = unit)
% 172.61/26.23 | | | | | | | | | | | | | | | | | | |
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | SIMP: (5517) implies:
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | (5518) ~ (all_14_1 = unit)
% 172.61/26.23 | | | | | | | | | | | | | | | | | | |
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | REDUCE: (5317), (5514) imply:
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | (5519) ~ (unit = e2)
% 172.61/26.23 | | | | | | | | | | | | | | | | | | |
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | REDUCE: (5441), (5514) imply:
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | (5520) ~ (unit = e1)
% 172.61/26.23 | | | | | | | | | | | | | | | | | | |
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | BETA: splitting (268) gives:
% 172.61/26.23 | | | | | | | | | | | | | | | | | | |
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | Case 1:
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | |
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | | (5521) all_63_3 = e3
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | |
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5515), (5521) imply:
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | | (5522) unit = e3
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | |
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | | REDUCE: (851), (5522) imply:
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | | (5523) $false
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | |
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | | CLOSE: (5523) is inconsistent.
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | |
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | Case 2:
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | |
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | | (5524) all_63_3 = e2 | all_63_3 = e1 | all_63_3 = e0
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | |
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | | BETA: splitting (5524) gives:
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | |
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | | | (5525) all_63_3 = e2
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5515), (5525) imply:
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | | | (5526) unit = e2
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | | | REDUCE: (5519), (5526) imply:
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | | | (5527) $false
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | | | CLOSE: (5527) is inconsistent.
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | | | (5528) all_63_3 = e1 | all_63_3 = e0
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5528) gives:
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | | | | (5529) all_63_3 = e1
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5515), (5529) imply:
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | | | | (5530) unit = e1
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5520), (5530) imply:
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | | | | (5531) $false
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5531) is inconsistent.
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | | | | (5532) all_63_3 = e0
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5515), (5532) imply:
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | | | | (5533) unit = e0
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5516), (5533) imply:
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | | | | (5534) ~ (all_61_8 = e0)
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5518), (5533) imply:
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | | | | (5535) ~ (all_14_1 = e0)
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (267), (269), (489), (865), (5346), (5354),
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | | | | (5355), (5369), (5370), (5534), (5535) are
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #300.
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | | | End of split
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | | End of split
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | |
% 172.61/26.23 | | | | | | | | | | | | | | | | | | | End of split
% 172.61/26.23 | | | | | | | | | | | | | | | | | | |
% 172.61/26.23 | | | | | | | | | | | | | | | | | | End of split
% 172.61/26.23 | | | | | | | | | | | | | | | | | |
% 172.61/26.23 | | | | | | | | | | | | | | | | | Case 2:
% 172.61/26.23 | | | | | | | | | | | | | | | | | |
% 172.61/26.23 | | | | | | | | | | | | | | | | | | (5536) ~ (all_60_1 = e1) & op(e2, e2) = all_60_1 &
% 172.61/26.23 | | | | | | | | | | | | | | | | | | $i(all_60_1)
% 172.61/26.23 | | | | | | | | | | | | | | | | | |
% 172.61/26.23 | | | | | | | | | | | | | | | | | | REF_CLOSE: (50), (4309), (5536) are inconsistent by sub-proof
% 172.61/26.23 | | | | | | | | | | | | | | | | | | #333.
% 172.61/26.23 | | | | | | | | | | | | | | | | | |
% 172.61/26.23 | | | | | | | | | | | | | | | | | End of split
% 172.61/26.23 | | | | | | | | | | | | | | | | |
% 172.61/26.23 | | | | | | | | | | | | | | | | Case 2:
% 172.61/26.23 | | | | | | | | | | | | | | | | |
% 172.61/26.23 | | | | | | | | | | | | | | | | | (5537) ( ~ (all_60_2 = e1) & op(e1, e1) = all_60_2 &
% 172.61/26.23 | | | | | | | | | | | | | | | | | $i(all_60_2)) | ( ~ (all_60_3 = e1) & op(e0, e0)
% 172.61/26.23 | | | | | | | | | | | | | | | | | = all_60_3 & $i(all_60_3))
% 172.61/26.23 | | | | | | | | | | | | | | | | |
% 172.61/26.23 | | | | | | | | | | | | | | | | | BETA: splitting (5537) gives:
% 172.61/26.23 | | | | | | | | | | | | | | | | |
% 172.61/26.23 | | | | | | | | | | | | | | | | | Case 1:
% 172.61/26.23 | | | | | | | | | | | | | | | | | |
% 172.61/26.23 | | | | | | | | | | | | | | | | | | (5538) ~ (all_60_2 = e1) & op(e1, e1) = all_60_2 &
% 172.61/26.23 | | | | | | | | | | | | | | | | | | $i(all_60_2)
% 172.61/26.23 | | | | | | | | | | | | | | | | | |
% 172.61/26.23 | | | | | | | | | | | | | | | | | | ALPHA: (5538) implies:
% 172.61/26.23 | | | | | | | | | | | | | | | | | | (5539) ~ (all_60_2 = e1)
% 172.61/26.23 | | | | | | | | | | | | | | | | | | (5540) op(e1, e1) = all_60_2
% 172.61/26.23 | | | | | | | | | | | | | | | | | |
% 172.61/26.23 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e1, all_65_47, e1, e1,
% 172.61/26.23 | | | | | | | | | | | | | | | | | | simplifying with (876), (5446) gives:
% 172.61/26.23 | | | | | | | | | | | | | | | | | | (5541) all_65_47 = e1
% 172.61/26.23 | | | | | | | | | | | | | | | | | |
% 172.61/26.23 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_77, all_65_47, e1,
% 172.61/26.23 | | | | | | | | | | | | | | | | | | e1, simplifying with (5442), (5446) gives:
% 172.61/26.23 | | | | | | | | | | | | | | | | | | (5542) all_65_47 = all_65_77
% 172.61/26.23 | | | | | | | | | | | | | | | | | |
% 172.61/26.23 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_60_2, all_65_47, e1,
% 172.61/26.23 | | | | | | | | | | | | | | | | | | e1, simplifying with (5446), (5540) gives:
% 172.61/26.23 | | | | | | | | | | | | | | | | | | (5543) all_65_47 = all_60_2
% 172.61/26.23 | | | | | | | | | | | | | | | | | |
% 172.61/26.23 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5541), (5542) imply:
% 172.61/26.23 | | | | | | | | | | | | | | | | | | (5544) all_65_77 = e1
% 172.61/26.23 | | | | | | | | | | | | | | | | | |
% 172.61/26.23 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5542), (5543) imply:
% 172.61/26.23 | | | | | | | | | | | | | | | | | | (5545) all_65_77 = all_60_2
% 172.61/26.23 | | | | | | | | | | | | | | | | | |
% 172.61/26.23 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5544), (5545) imply:
% 172.61/26.23 | | | | | | | | | | | | | | | | | | (5546) all_60_2 = e1
% 172.61/26.23 | | | | | | | | | | | | | | | | | |
% 172.61/26.23 | | | | | | | | | | | | | | | | | | REDUCE: (5539), (5546) imply:
% 172.61/26.23 | | | | | | | | | | | | | | | | | | (5547) $false
% 172.61/26.23 | | | | | | | | | | | | | | | | | |
% 172.61/26.23 | | | | | | | | | | | | | | | | | | CLOSE: (5547) is inconsistent.
% 172.61/26.23 | | | | | | | | | | | | | | | | | |
% 172.61/26.23 | | | | | | | | | | | | | | | | | Case 2:
% 172.61/26.23 | | | | | | | | | | | | | | | | | |
% 172.61/26.23 | | | | | | | | | | | | | | | | | | (5548) ~ (all_60_3 = e1) & op(e0, e0) = all_60_3 &
% 172.61/26.23 | | | | | | | | | | | | | | | | | | $i(all_60_3)
% 172.61/26.23 | | | | | | | | | | | | | | | | | |
% 172.61/26.23 | | | | | | | | | | | | | | | | | | REF_CLOSE: (50), (5448), (5548) are inconsistent by sub-proof
% 172.61/26.23 | | | | | | | | | | | | | | | | | | #299.
% 172.61/26.23 | | | | | | | | | | | | | | | | | |
% 172.61/26.23 | | | | | | | | | | | | | | | | | End of split
% 172.61/26.23 | | | | | | | | | | | | | | | | |
% 172.61/26.23 | | | | | | | | | | | | | | | | End of split
% 172.61/26.23 | | | | | | | | | | | | | | | |
% 172.61/26.23 | | | | | | | | | | | | | | | End of split
% 172.61/26.23 | | | | | | | | | | | | | | |
% 172.61/26.23 | | | | | | | | | | | | | | Case 2:
% 172.61/26.23 | | | | | | | | | | | | | | |
% 172.61/26.23 | | | | | | | | | | | | | | | (5549) all_28_2 = e3
% 172.61/26.24 | | | | | | | | | | | | | | | (5550) op(e0, e3) = all_28_1 & $i(all_28_1) & ( ~
% 172.61/26.24 | | | | | | | | | | | | | | | (all_28_1 = e2) | ( ~ (all_28_0 = e1) & op(e2,
% 172.61/26.24 | | | | | | | | | | | | | | | e0) = all_28_0 & $i(all_28_0)))
% 172.61/26.24 | | | | | | | | | | | | | | |
% 172.61/26.24 | | | | | | | | | | | | | | | ALPHA: (5550) implies:
% 172.61/26.24 | | | | | | | | | | | | | | | (5551) op(e0, e3) = all_28_1
% 172.61/26.24 | | | | | | | | | | | | | | |
% 172.61/26.24 | | | | | | | | | | | | | | | COMBINE_EQS: (563), (5549) imply:
% 172.61/26.24 | | | | | | | | | | | | | | | (5552) all_20_2 = e3
% 172.61/26.24 | | | | | | | | | | | | | | |
% 172.61/26.24 | | | | | | | | | | | | | | | SIMP: (5552) implies:
% 172.61/26.24 | | | | | | | | | | | | | | | (5553) all_20_2 = e3
% 172.61/26.24 | | | | | | | | | | | | | | |
% 172.61/26.24 | | | | | | | | | | | | | | | COMBINE_EQS: (555), (5553) imply:
% 172.61/26.24 | | | | | | | | | | | | | | | (5554) all_34_2 = e3
% 172.61/26.24 | | | | | | | | | | | | | | |
% 172.61/26.24 | | | | | | | | | | | | | | | REDUCE: (617), (5553) imply:
% 172.61/26.24 | | | | | | | | | | | | | | | (5555) ~ (all_61_7 = e3)
% 172.61/26.24 | | | | | | | | | | | | | | |
% 172.61/26.24 | | | | | | | | | | | | | | | REDUCE: (624), (5553) imply:
% 172.61/26.24 | | | | | | | | | | | | | | | (5556) ~ (all_61_11 = e3)
% 172.61/26.24 | | | | | | | | | | | | | | |
% 172.61/26.24 | | | | | | | | | | | | | | | REDUCE: (694), (5553) imply:
% 172.61/26.24 | | | | | | | | | | | | | | | (5557) op(e3, e3) = all_65_73
% 172.61/26.24 | | | | | | | | | | | | | | |
% 172.61/26.24 | | | | | | | | | | | | | | | REDUCE: (695), (5553) imply:
% 172.61/26.24 | | | | | | | | | | | | | | | (5558) op(e3, e2) = all_65_75
% 172.61/26.24 | | | | | | | | | | | | | | |
% 172.61/26.24 | | | | | | | | | | | | | | | REDUCE: (696), (5553) imply:
% 172.61/26.24 | | | | | | | | | | | | | | | (5559) op(e3, e1) = all_65_77
% 172.61/26.24 | | | | | | | | | | | | | | |
% 172.61/26.24 | | | | | | | | | | | | | | | REDUCE: (697), (5553) imply:
% 172.61/26.24 | | | | | | | | | | | | | | | (5560) op(e3, e0) = all_65_78
% 172.61/26.24 | | | | | | | | | | | | | | |
% 172.61/26.24 | | | | | | | | | | | | | | | REDUCE: (713), (5553) imply:
% 172.61/26.24 | | | | | | | | | | | | | | | (5561) op(e3, e3) = all_65_15
% 172.61/26.24 | | | | | | | | | | | | | | |
% 172.61/26.24 | | | | | | | | | | | | | | | REDUCE: (764), (5553) imply:
% 172.61/26.24 | | | | | | | | | | | | | | | (5562) op(e0, e3) = all_65_78
% 172.61/26.24 | | | | | | | | | | | | | | |
% 172.61/26.24 | | | | | | | | | | | | | | | BETA: splitting (98) gives:
% 172.61/26.24 | | | | | | | | | | | | | | |
% 172.61/26.24 | | | | | | | | | | | | | | | Case 1:
% 172.61/26.24 | | | | | | | | | | | | | | | |
% 172.61/26.24 | | | | | | | | | | | | | | | | (5563) ~ (all_34_2 = e3)
% 172.61/26.24 | | | | | | | | | | | | | | | |
% 172.61/26.24 | | | | | | | | | | | | | | | | REDUCE: (5554), (5563) imply:
% 172.61/26.24 | | | | | | | | | | | | | | | | (5564) $false
% 172.61/26.24 | | | | | | | | | | | | | | | |
% 172.61/26.24 | | | | | | | | | | | | | | | | CLOSE: (5564) is inconsistent.
% 172.61/26.24 | | | | | | | | | | | | | | | |
% 172.61/26.24 | | | | | | | | | | | | | | | Case 2:
% 172.61/26.24 | | | | | | | | | | | | | | | |
% 172.61/26.24 | | | | | | | | | | | | | | | | (5565) op(e0, e3) = all_34_1 & $i(all_34_1) & ( ~
% 172.61/26.24 | | | | | | | | | | | | | | | | (all_34_1 = e1) | ( ~ (all_34_0 = e2) & op(e1,
% 172.61/26.24 | | | | | | | | | | | | | | | | e0) = all_34_0 & $i(all_34_0)))
% 172.61/26.24 | | | | | | | | | | | | | | | |
% 172.61/26.24 | | | | | | | | | | | | | | | | ALPHA: (5565) implies:
% 172.61/26.24 | | | | | | | | | | | | | | | | (5566) op(e0, e3) = all_34_1
% 172.61/26.24 | | | | | | | | | | | | | | | |
% 172.61/26.24 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_3, all_28_1, e3,
% 172.61/26.24 | | | | | | | | | | | | | | | | e0, simplifying with (226), (5551) gives:
% 172.61/26.24 | | | | | | | | | | | | | | | | (5567) all_61_3 = all_28_1
% 172.61/26.24 | | | | | | | | | | | | | | | |
% 172.61/26.24 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_3, all_65_78, e3,
% 172.61/26.24 | | | | | | | | | | | | | | | | e0, simplifying with (226), (5562) gives:
% 172.61/26.24 | | | | | | | | | | | | | | | | (5568) all_65_78 = all_61_3
% 172.61/26.24 | | | | | | | | | | | | | | | |
% 172.61/26.24 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_34_1, all_65_78, e3,
% 172.61/26.24 | | | | | | | | | | | | | | | | e0, simplifying with (5562), (5566) gives:
% 172.61/26.24 | | | | | | | | | | | | | | | | (5569) all_65_78 = all_34_1
% 172.61/26.24 | | | | | | | | | | | | | | | |
% 172.61/26.24 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_12, all_65_78, e0,
% 172.61/26.24 | | | | | | | | | | | | | | | | e3, simplifying with (235), (5560) gives:
% 172.61/26.24 | | | | | | | | | | | | | | | | (5570) all_65_78 = all_61_12
% 172.61/26.24 | | | | | | | | | | | | | | | |
% 172.61/26.24 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_8, all_65_77, e1,
% 172.61/26.24 | | | | | | | | | | | | | | | | e3, simplifying with (236), (5559) gives:
% 172.61/26.24 | | | | | | | | | | | | | | | | (5571) all_65_77 = all_61_8
% 172.61/26.24 | | | | | | | | | | | | | | | |
% 172.61/26.24 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_14_1, all_65_75, e2,
% 172.61/26.24 | | | | | | | | | | | | | | | | e3, simplifying with (5312), (5558) gives:
% 172.61/26.24 | | | | | | | | | | | | | | | | (5572) all_65_75 = all_14_1
% 172.61/26.24 | | | | | | | | | | | | | | | |
% 172.61/26.24 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e2, all_65_15, e3, e3,
% 172.61/26.24 | | | | | | | | | | | | | | | | simplifying with (5323), (5561) gives:
% 172.61/26.24 | | | | | | | | | | | | | | | | (5573) all_65_15 = e2
% 172.61/26.24 | | | | | | | | | | | | | | | |
% 172.61/26.24 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_73, all_65_15, e3,
% 172.61/26.24 | | | | | | | | | | | | | | | | e3, simplifying with (5557), (5561) gives:
% 172.61/26.24 | | | | | | | | | | | | | | | | (5574) all_65_15 = all_65_73
% 172.61/26.24 | | | | | | | | | | | | | | | |
% 172.61/26.24 | | | | | | | | | | | | | | | | COMBINE_EQS: (5573), (5574) imply:
% 172.61/26.24 | | | | | | | | | | | | | | | | (5575) all_65_73 = e2
% 172.61/26.24 | | | | | | | | | | | | | | | |
% 172.61/26.24 | | | | | | | | | | | | | | | | COMBINE_EQS: (5569), (5570) imply:
% 172.61/26.24 | | | | | | | | | | | | | | | | (5576) all_61_12 = all_34_1
% 172.61/26.24 | | | | | | | | | | | | | | | |
% 172.61/26.24 | | | | | | | | | | | | | | | | SIMP: (5576) implies:
% 172.61/26.24 | | | | | | | | | | | | | | | | (5577) all_61_12 = all_34_1
% 172.61/26.24 | | | | | | | | | | | | | | | |
% 172.61/26.24 | | | | | | | | | | | | | | | | COMBINE_EQS: (5568), (5569) imply:
% 172.61/26.24 | | | | | | | | | | | | | | | | (5578) all_61_3 = all_34_1
% 172.61/26.24 | | | | | | | | | | | | | | | |
% 172.61/26.24 | | | | | | | | | | | | | | | | SIMP: (5578) implies:
% 172.61/26.24 | | | | | | | | | | | | | | | | (5579) all_61_3 = all_34_1
% 172.61/26.24 | | | | | | | | | | | | | | | |
% 172.61/26.24 | | | | | | | | | | | | | | | | COMBINE_EQS: (5567), (5579) imply:
% 172.61/26.24 | | | | | | | | | | | | | | | | (5580) all_34_1 = all_28_1
% 172.61/26.24 | | | | | | | | | | | | | | | |
% 172.61/26.24 | | | | | | | | | | | | | | | | COMBINE_EQS: (5577), (5580) imply:
% 172.61/26.24 | | | | | | | | | | | | | | | | (5581) all_61_12 = all_28_1
% 172.61/26.24 | | | | | | | | | | | | | | | |
% 172.61/26.24 | | | | | | | | | | | | | | | | REDUCE: (5358), (5567) imply:
% 172.61/26.24 | | | | | | | | | | | | | | | | (5582) op(all_28_1, e3) = all_61_7
% 172.61/26.24 | | | | | | | | | | | | | | | |
% 172.61/26.24 | | | | | | | | | | | | | | | | REDUCE: (646), (5581) imply:
% 172.61/26.24 | | | | | | | | | | | | | | | | (5583) op(all_28_1, e3) = all_65_12
% 172.61/26.24 | | | | | | | | | | | | | | | |
% 172.61/26.24 | | | | | | | | | | | | | | | | REDUCE: (710), (5567) imply:
% 172.61/26.24 | | | | | | | | | | | | | | | | (5584) op(e3, all_28_1) = all_65_12
% 172.61/26.24 | | | | | | | | | | | | | | | |
% 172.61/26.24 | | | | | | | | | | | | | | | | REDUCE: (5361), (5581) imply:
% 172.61/26.24 | | | | | | | | | | | | | | | | (5585) op(e3, all_28_1) = all_61_13
% 172.61/26.24 | | | | | | | | | | | | | | | |
% 172.61/26.24 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_13, all_65_12,
% 172.61/26.24 | | | | | | | | | | | | | | | | all_28_1, e3, simplifying with (5584), (5585)
% 172.61/26.24 | | | | | | | | | | | | | | | | gives:
% 172.61/26.24 | | | | | | | | | | | | | | | | (5586) all_65_12 = all_61_13
% 172.61/26.24 | | | | | | | | | | | | | | | |
% 172.61/26.24 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_7, all_65_12, e3,
% 172.61/26.24 | | | | | | | | | | | | | | | | all_28_1, simplifying with (5582), (5583) gives:
% 172.61/26.24 | | | | | | | | | | | | | | | | (5587) all_65_12 = all_61_7
% 172.61/26.24 | | | | | | | | | | | | | | | |
% 172.61/26.24 | | | | | | | | | | | | | | | | COMBINE_EQS: (5586), (5587) imply:
% 172.61/26.24 | | | | | | | | | | | | | | | | (5588) all_61_7 = all_61_13
% 172.61/26.24 | | | | | | | | | | | | | | | |
% 172.61/26.24 | | | | | | | | | | | | | | | | REDUCE: (192), (5588) imply:
% 172.61/26.24 | | | | | | | | | | | | | | | | (5589) ~ (all_61_11 = all_61_13)
% 172.61/26.24 | | | | | | | | | | | | | | | |
% 172.61/26.24 | | | | | | | | | | | | | | | | SIMP: (5589) implies:
% 172.61/26.24 | | | | | | | | | | | | | | | | (5590) ~ (all_61_11 = all_61_13)
% 172.61/26.24 | | | | | | | | | | | | | | | |
% 172.61/26.24 | | | | | | | | | | | | | | | | REDUCE: (5555), (5588) imply:
% 172.61/26.24 | | | | | | | | | | | | | | | | (5591) ~ (all_61_13 = e3)
% 172.61/26.24 | | | | | | | | | | | | | | | |
% 172.61/26.24 | | | | | | | | | | | | | | | | REDUCE: (4352), (5588) imply:
% 172.61/26.24 | | | | | | | | | | | | | | | | (5592) op(all_61_13, e2) = all_61_11
% 172.61/26.24 | | | | | | | | | | | | | | | |
% 172.61/26.24 | | | | | | | | | | | | | | | | REDUCE: (728), (5588) imply:
% 172.61/26.24 | | | | | | | | | | | | | | | | (5593) op(e2, all_61_13) = all_65_29
% 172.61/26.24 | | | | | | | | | | | | | | | |
% 172.61/26.24 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_14, all_65_29,
% 172.61/26.24 | | | | | | | | | | | | | | | | all_61_13, e2, simplifying with (4356), (5593)
% 172.61/26.24 | | | | | | | | | | | | | | | | gives:
% 172.61/26.24 | | | | | | | | | | | | | | | | (5594) all_65_29 = all_61_14
% 172.61/26.24 | | | | | | | | | | | | | | | |
% 172.61/26.24 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_29, all_61_11, e2,
% 172.61/26.24 | | | | | | | | | | | | | | | | all_61_13, simplifying with (663), (5592) gives:
% 172.61/26.24 | | | | | | | | | | | | | | | | (5595) all_65_29 = all_61_11
% 172.61/26.24 | | | | | | | | | | | | | | | |
% 172.61/26.24 | | | | | | | | | | | | | | | | COMBINE_EQS: (5594), (5595) imply:
% 172.61/26.24 | | | | | | | | | | | | | | | | (5596) all_61_11 = all_61_14
% 172.61/26.24 | | | | | | | | | | | | | | | |
% 172.61/26.24 | | | | | | | | | | | | | | | | REDUCE: (188), (5596) imply:
% 172.61/26.24 | | | | | | | | | | | | | | | | (5597) ~ (all_61_8 = all_61_14)
% 172.61/26.24 | | | | | | | | | | | | | | | |
% 172.61/26.24 | | | | | | | | | | | | | | | | REDUCE: (5590), (5596) imply:
% 172.61/26.24 | | | | | | | | | | | | | | | | (5598) ~ (all_61_13 = all_61_14)
% 172.61/26.24 | | | | | | | | | | | | | | | |
% 172.61/26.24 | | | | | | | | | | | | | | | | REDUCE: (5556), (5596) imply:
% 172.61/26.24 | | | | | | | | | | | | | | | | (5599) ~ (all_61_14 = e3)
% 172.61/26.24 | | | | | | | | | | | | | | | |
% 172.61/26.24 | | | | | | | | | | | | | | | | BETA: splitting (157) gives:
% 172.61/26.24 | | | | | | | | | | | | | | | |
% 172.61/26.24 | | | | | | | | | | | | | | | | Case 1:
% 172.61/26.24 | | | | | | | | | | | | | | | | |
% 172.61/26.24 | | | | | | | | | | | | | | | | | (5600) ~ (all_58_3 = e1)
% 172.61/26.24 | | | | | | | | | | | | | | | | |
% 172.61/26.24 | | | | | | | | | | | | | | | | | REDUCE: (475), (5600) imply:
% 172.61/26.24 | | | | | | | | | | | | | | | | | (5601) ~ (all_52_3 = e1)
% 172.61/26.24 | | | | | | | | | | | | | | | | |
% 172.61/26.24 | | | | | | | | | | | | | | | | | BETA: splitting (160) gives:
% 172.61/26.24 | | | | | | | | | | | | | | | | |
% 172.61/26.24 | | | | | | | | | | | | | | | | | Case 1:
% 172.61/26.24 | | | | | | | | | | | | | | | | | |
% 172.61/26.24 | | | | | | | | | | | | | | | | | | (5602) ~ (all_58_2 = e0)
% 172.61/26.24 | | | | | | | | | | | | | | | | | |
% 172.61/26.24 | | | | | | | | | | | | | | | | | | REDUCE: (478), (5602) imply:
% 172.61/26.24 | | | | | | | | | | | | | | | | | | (5603) ~ (all_52_2 = e0)
% 172.61/26.24 | | | | | | | | | | | | | | | | | |
% 172.61/26.24 | | | | | | | | | | | | | | | | | | BETA: splitting (161) gives:
% 172.61/26.24 | | | | | | | | | | | | | | | | | |
% 172.61/26.24 | | | | | | | | | | | | | | | | | | Case 1:
% 172.61/26.24 | | | | | | | | | | | | | | | | | | |
% 172.61/26.24 | | | | | | | | | | | | | | | | | | | (5604) ~ (all_58_2 = e2)
% 172.61/26.24 | | | | | | | | | | | | | | | | | | |
% 172.61/26.24 | | | | | | | | | | | | | | | | | | | REDUCE: (478), (5604) imply:
% 172.61/26.24 | | | | | | | | | | | | | | | | | | | (5605) ~ (all_52_2 = e2)
% 172.61/26.24 | | | | | | | | | | | | | | | | | | |
% 172.61/26.24 | | | | | | | | | | | | | | | | | | | BETA: splitting (162) gives:
% 172.61/26.24 | | | | | | | | | | | | | | | | | | |
% 172.61/26.24 | | | | | | | | | | | | | | | | | | | Case 1:
% 172.61/26.24 | | | | | | | | | | | | | | | | | | | |
% 172.61/26.24 | | | | | | | | | | | | | | | | | | | | (5606) ~ (all_58_2 = e3)
% 172.61/26.24 | | | | | | | | | | | | | | | | | | | |
% 172.61/26.24 | | | | | | | | | | | | | | | | | | | | REDUCE: (478), (5606) imply:
% 172.61/26.24 | | | | | | | | | | | | | | | | | | | | (5607) ~ (all_52_2 = e3)
% 172.61/26.24 | | | | | | | | | | | | | | | | | | | |
% 172.61/26.24 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (50), (149), (177), (227), (264), (498),
% 172.61/26.24 | | | | | | | | | | | | | | | | | | | | (538), (748), (876), (4296), (4302), (4347),
% 172.61/26.24 | | | | | | | | | | | | | | | | | | | | (5591), (5603), (5605), (5607) are inconsistent by
% 172.61/26.24 | | | | | | | | | | | | | | | | | | | | sub-proof #312.
% 172.61/26.24 | | | | | | | | | | | | | | | | | | | |
% 172.61/26.24 | | | | | | | | | | | | | | | | | | | Case 2:
% 172.61/26.24 | | | | | | | | | | | | | | | | | | | |
% 172.61/26.24 | | | | | | | | | | | | | | | | | | | | (5608) all_58_0 = e1
% 172.61/26.24 | | | | | | | | | | | | | | | | | | | |
% 172.61/26.24 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (484), (5608) imply:
% 172.61/26.24 | | | | | | | | | | | | | | | | | | | | (5609) all_52_0 = e1
% 172.61/26.24 | | | | | | | | | | | | | | | | | | | |
% 172.61/26.24 | | | | | | | | | | | | | | | | | | | | SIMP: (5609) implies:
% 172.61/26.24 | | | | | | | | | | | | | | | | | | | | (5610) all_52_0 = e1
% 172.61/26.24 | | | | | | | | | | | | | | | | | | | |
% 172.61/26.24 | | | | | | | | | | | | | | | | | | | | REDUCE: (714), (5610) imply:
% 172.61/26.24 | | | | | | | | | | | | | | | | | | | | (5611) op(e3, e1) = unit
% 172.61/26.24 | | | | | | | | | | | | | | | | | | | |
% 172.61/26.24 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_8, unit, e1, e3,
% 172.61/26.24 | | | | | | | | | | | | | | | | | | | | simplifying with (236), (5611) gives:
% 172.61/26.24 | | | | | | | | | | | | | | | | | | | | (5612) all_61_8 = unit
% 172.61/26.24 | | | | | | | | | | | | | | | | | | | |
% 172.61/26.24 | | | | | | | | | | | | | | | | | | | | REDUCE: (5597), (5612) imply:
% 172.61/26.24 | | | | | | | | | | | | | | | | | | | | (5613) ~ (all_61_14 = unit)
% 172.61/26.24 | | | | | | | | | | | | | | | | | | | |
% 172.61/26.24 | | | | | | | | | | | | | | | | | | | | SIMP: (5613) implies:
% 172.61/26.24 | | | | | | | | | | | | | | | | | | | | (5614) ~ (all_61_14 = unit)
% 172.61/26.24 | | | | | | | | | | | | | | | | | | | |
% 172.61/26.24 | | | | | | | | | | | | | | | | | | | | REDUCE: (5369), (5612) imply:
% 172.61/26.24 | | | | | | | | | | | | | | | | | | | | (5615) ~ (all_14_1 = unit)
% 172.61/26.24 | | | | | | | | | | | | | | | | | | | |
% 172.61/26.24 | | | | | | | | | | | | | | | | | | | | SIMP: (5615) implies:
% 172.61/26.24 | | | | | | | | | | | | | | | | | | | | (5616) ~ (all_14_1 = unit)
% 172.61/26.24 | | | | | | | | | | | | | | | | | | | |
% 172.61/26.24 | | | | | | | | | | | | | | | | | | | | REDUCE: (4343), (5612) imply:
% 172.61/26.24 | | | | | | | | | | | | | | | | | | | | (5617) ~ (all_12_1 = unit)
% 172.61/26.24 | | | | | | | | | | | | | | | | | | | |
% 172.61/26.24 | | | | | | | | | | | | | | | | | | | | SIMP: (5617) implies:
% 172.61/26.24 | | | | | | | | | | | | | | | | | | | | (5618) ~ (all_12_1 = unit)
% 172.61/26.24 | | | | | | | | | | | | | | | | | | | |
% 172.61/26.24 | | | | | | | | | | | | | | | | | | | | REDUCE: (5370), (5612) imply:
% 172.61/26.24 | | | | | | | | | | | | | | | | | | | | (5619) ~ (unit = e2)
% 172.61/26.24 | | | | | | | | | | | | | | | | | | | |
% 172.61/26.24 | | | | | | | | | | | | | | | | | | | | REDUCE: (865), (5612) imply:
% 172.61/26.24 | | | | | | | | | | | | | | | | | | | | (5620) ~ (unit = e1)
% 172.61/26.24 | | | | | | | | | | | | | | | | | | | |
% 172.61/26.24 | | | | | | | | | | | | | | | | | | | | BETA: splitting (852) gives:
% 172.61/26.24 | | | | | | | | | | | | | | | | | | | |
% 172.61/26.24 | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.61/26.24 | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.24 | | | | | | | | | | | | | | | | | | | | | (5621) unit = e2
% 172.61/26.24 | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.24 | | | | | | | | | | | | | | | | | | | | | REDUCE: (5619), (5621) imply:
% 172.61/26.24 | | | | | | | | | | | | | | | | | | | | | (5622) $false
% 172.61/26.24 | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.24 | | | | | | | | | | | | | | | | | | | | | CLOSE: (5622) is inconsistent.
% 172.61/26.24 | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.24 | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.61/26.24 | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.24 | | | | | | | | | | | | | | | | | | | | | (5623) unit = e1 | unit = e0
% 172.61/26.24 | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.24 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5623) gives:
% 172.61/26.24 | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.24 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.61/26.24 | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.24 | | | | | | | | | | | | | | | | | | | | | | (5624) unit = e1
% 172.61/26.24 | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.24 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5620), (5624) imply:
% 172.61/26.24 | | | | | | | | | | | | | | | | | | | | | | (5625) $false
% 172.61/26.24 | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.24 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5625) is inconsistent.
% 172.61/26.24 | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.24 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.61/26.24 | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.24 | | | | | | | | | | | | | | | | | | | | | | (5626) unit = e0
% 172.61/26.24 | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.24 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5614), (5626) imply:
% 172.61/26.24 | | | | | | | | | | | | | | | | | | | | | | (5627) ~ (all_61_14 = e0)
% 172.61/26.24 | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.24 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5616), (5626) imply:
% 172.61/26.24 | | | | | | | | | | | | | | | | | | | | | | (5628) ~ (all_14_1 = e0)
% 172.61/26.24 | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.24 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5618), (5626) imply:
% 172.61/26.24 | | | | | | | | | | | | | | | | | | | | | | (5629) ~ (all_12_1 = e0)
% 172.61/26.24 | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.24 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (267) gives:
% 172.61/26.24 | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.24 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.61/26.24 | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.24 | | | | | | | | | | | | | | | | | | | | | | | (5630) all_63_4 = e3
% 172.61/26.24 | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.24 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5346), (5630) imply:
% 172.61/26.24 | | | | | | | | | | | | | | | | | | | | | | | (5631) all_14_1 = e3
% 172.61/26.24 | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.24 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5353), (5631) imply:
% 172.61/26.24 | | | | | | | | | | | | | | | | | | | | | | | (5632) ~ (all_12_1 = e3)
% 172.61/26.24 | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.24 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5632) implies:
% 172.61/26.24 | | | | | | | | | | | | | | | | | | | | | | | (5633) ~ (all_12_1 = e3)
% 172.61/26.24 | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.24 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (260), (265), (505), (868), (4335), (4342),
% 172.61/26.24 | | | | | | | | | | | | | | | | | | | | | | | (4348), (5599), (5627), (5629), (5633) are
% 172.61/26.24 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #298.
% 172.61/26.24 | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.24 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.61/26.24 | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.24 | | | | | | | | | | | | | | | | | | | | | | | (5634) all_63_4 = e2 | all_63_4 = e1 | all_63_4 = e0
% 172.61/26.24 | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.24 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5346), (5354), (5355), (5628), (5634) are
% 172.61/26.24 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #354.
% 172.61/26.24 | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.24 | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.61/26.24 | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.24 | | | | | | | | | | | | | | | | | | | | | End of split
% 172.61/26.24 | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.24 | | | | | | | | | | | | | | | | | | | | End of split
% 172.61/26.24 | | | | | | | | | | | | | | | | | | | |
% 172.61/26.24 | | | | | | | | | | | | | | | | | | | End of split
% 172.61/26.24 | | | | | | | | | | | | | | | | | | |
% 172.61/26.24 | | | | | | | | | | | | | | | | | | Case 2:
% 172.61/26.24 | | | | | | | | | | | | | | | | | | |
% 172.61/26.24 | | | | | | | | | | | | | | | | | | | (5635) all_58_2 = e2
% 172.61/26.24 | | | | | | | | | | | | | | | | | | | (5636) all_58_1 = e1
% 172.61/26.24 | | | | | | | | | | | | | | | | | | |
% 172.61/26.24 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (50), (478), (481), (631), (731), (4296),
% 172.61/26.24 | | | | | | | | | | | | | | | | | | | (4350), (5635), (5636) are inconsistent by
% 172.61/26.24 | | | | | | | | | | | | | | | | | | | sub-proof #321.
% 172.61/26.24 | | | | | | | | | | | | | | | | | | |
% 172.61/26.24 | | | | | | | | | | | | | | | | | | End of split
% 172.61/26.24 | | | | | | | | | | | | | | | | | |
% 172.61/26.24 | | | | | | | | | | | | | | | | | Case 2:
% 172.61/26.24 | | | | | | | | | | | | | | | | | |
% 172.61/26.24 | | | | | | | | | | | | | | | | | | (5637) all_58_3 = e1
% 172.61/26.24 | | | | | | | | | | | | | | | | | |
% 172.61/26.24 | | | | | | | | | | | | | | | | | | REF_CLOSE: (475), (5601), (5637) are inconsistent by
% 172.61/26.24 | | | | | | | | | | | | | | | | | | sub-proof #460.
% 172.61/26.24 | | | | | | | | | | | | | | | | | |
% 172.61/26.24 | | | | | | | | | | | | | | | | | End of split
% 172.61/26.24 | | | | | | | | | | | | | | | | |
% 172.61/26.24 | | | | | | | | | | | | | | | | Case 2:
% 172.61/26.24 | | | | | | | | | | | | | | | | |
% 172.61/26.24 | | | | | | | | | | | | | | | | | (5638) all_58_3 = e1
% 172.61/26.24 | | | | | | | | | | | | | | | | | (5639) all_58_2 = e0
% 172.61/26.24 | | | | | | | | | | | | | | | | |
% 172.61/26.24 | | | | | | | | | | | | | | | | | COMBINE_EQS: (478), (5639) imply:
% 172.61/26.24 | | | | | | | | | | | | | | | | | (5640) all_52_2 = e0
% 172.61/26.24 | | | | | | | | | | | | | | | | |
% 172.61/26.24 | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (20), (50), (151), (165), (168), (267),
% 172.61/26.24 | | | | | | | | | | | | | | | | | (475), (481), (484), (534), (629), (630), (714),
% 172.61/26.24 | | | | | | | | | | | | | | | | | (851), (852), (4309), (5312), (5313), (5323),
% 172.61/26.24 | | | | | | | | | | | | | | | | | (5346), (5354), (5355), (5356), (5638), (5640) are
% 172.61/26.24 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #297.
% 172.61/26.24 | | | | | | | | | | | | | | | | |
% 172.61/26.24 | | | | | | | | | | | | | | | | End of split
% 172.61/26.24 | | | | | | | | | | | | | | | |
% 172.61/26.24 | | | | | | | | | | | | | | | End of split
% 172.61/26.24 | | | | | | | | | | | | | | |
% 172.61/26.24 | | | | | | | | | | | | | | End of split
% 172.61/26.24 | | | | | | | | | | | | | |
% 172.61/26.24 | | | | | | | | | | | | | Case 2:
% 172.61/26.24 | | | | | | | | | | | | | |
% 172.61/26.24 | | | | | | | | | | | | | | (5641) all_20_2 = e2
% 172.61/26.24 | | | | | | | | | | | | | | (5642) op(e0, e2) = all_20_1 & $i(all_20_1) & ( ~
% 172.61/26.24 | | | | | | | | | | | | | | (all_20_1 = e1) | ( ~ (all_20_0 = e3) & op(e1,
% 172.61/26.24 | | | | | | | | | | | | | | e0) = all_20_0 & $i(all_20_0)))
% 172.61/26.24 | | | | | | | | | | | | | |
% 172.61/26.24 | | | | | | | | | | | | | | ALPHA: (5642) implies:
% 172.61/26.24 | | | | | | | | | | | | | | (5643) op(e0, e2) = all_20_1
% 172.61/26.24 | | | | | | | | | | | | | |
% 172.61/26.24 | | | | | | | | | | | | | | REDUCE: (624), (5641) imply:
% 172.61/26.24 | | | | | | | | | | | | | | (5644) ~ (all_61_11 = e2)
% 172.61/26.24 | | | | | | | | | | | | | |
% 172.61/26.24 | | | | | | | | | | | | | | REDUCE: (626), (5641) imply:
% 172.61/26.24 | | | | | | | | | | | | | | (5645) ~ (all_61_13 = e2)
% 172.61/26.24 | | | | | | | | | | | | | |
% 172.61/26.24 | | | | | | | | | | | | | | REDUCE: (695), (5641) imply:
% 172.61/26.24 | | | | | | | | | | | | | | (5646) op(e2, e2) = all_65_75
% 172.61/26.24 | | | | | | | | | | | | | |
% 172.61/26.24 | | | | | | | | | | | | | | REDUCE: (697), (5641) imply:
% 172.61/26.24 | | | | | | | | | | | | | | (5647) op(e2, e0) = all_65_78
% 172.61/26.24 | | | | | | | | | | | | | |
% 172.61/26.24 | | | | | | | | | | | | | | REDUCE: (713), (5641) imply:
% 172.61/26.24 | | | | | | | | | | | | | | (5648) op(e3, e2) = all_65_15
% 172.61/26.24 | | | | | | | | | | | | | |
% 172.61/26.24 | | | | | | | | | | | | | | REDUCE: (730), (5641) imply:
% 172.61/26.24 | | | | | | | | | | | | | | (5649) op(e2, e2) = all_65_31
% 172.61/26.24 | | | | | | | | | | | | | |
% 172.61/26.24 | | | | | | | | | | | | | | REDUCE: (764), (5641) imply:
% 172.61/26.24 | | | | | | | | | | | | | | (5650) op(e0, e2) = all_65_78
% 172.61/26.24 | | | | | | | | | | | | | |
% 172.61/26.24 | | | | | | | | | | | | | | REDUCE: (76), (5641) imply:
% 172.61/26.24 | | | | | | | | | | | | | | (5651) op(e0, e0) = e2
% 172.61/26.24 | | | | | | | | | | | | | |
% 172.61/26.24 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_7, all_65_78, e2,
% 172.61/26.24 | | | | | | | | | | | | | | e0, simplifying with (225), (5650) gives:
% 172.61/26.24 | | | | | | | | | | | | | | (5652) all_65_78 = all_61_7
% 172.61/26.24 | | | | | | | | | | | | | |
% 172.61/26.24 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_20_1, all_65_78, e2,
% 172.61/26.24 | | | | | | | | | | | | | | e0, simplifying with (5643), (5650) gives:
% 172.61/26.24 | | | | | | | | | | | | | | (5653) all_65_78 = all_20_1
% 172.61/26.24 | | | | | | | | | | | | | |
% 172.61/26.24 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_13, all_65_78, e0,
% 172.61/26.24 | | | | | | | | | | | | | | e2, simplifying with (231), (5647) gives:
% 172.61/26.24 | | | | | | | | | | | | | | (5654) all_65_78 = all_61_13
% 172.61/26.24 | | | | | | | | | | | | | |
% 172.61/26.24 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e1, all_65_31, e2, e2,
% 172.61/26.24 | | | | | | | | | | | | | | simplifying with (4309), (5649) gives:
% 172.61/26.24 | | | | | | | | | | | | | | (5655) all_65_31 = e1
% 172.61/26.24 | | | | | | | | | | | | | |
% 172.61/26.24 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_75, all_65_31, e2,
% 172.61/26.24 | | | | | | | | | | | | | | e2, simplifying with (5646), (5649) gives:
% 172.61/26.24 | | | | | | | | | | | | | | (5656) all_65_31 = all_65_75
% 172.61/26.24 | | | | | | | | | | | | | |
% 172.61/26.24 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_14_1, all_65_15, e2,
% 172.61/26.24 | | | | | | | | | | | | | | e3, simplifying with (5312), (5648) gives:
% 172.61/26.24 | | | | | | | | | | | | | | (5657) all_65_15 = all_14_1
% 172.61/26.24 | | | | | | | | | | | | | |
% 172.61/26.24 | | | | | | | | | | | | | | COMBINE_EQS: (5655), (5656) imply:
% 172.61/26.24 | | | | | | | | | | | | | | (5658) all_65_75 = e1
% 172.61/26.24 | | | | | | | | | | | | | |
% 172.61/26.24 | | | | | | | | | | | | | | SIMP: (5658) implies:
% 172.61/26.24 | | | | | | | | | | | | | | (5659) all_65_75 = e1
% 172.61/26.24 | | | | | | | | | | | | | |
% 172.61/26.24 | | | | | | | | | | | | | | COMBINE_EQS: (5653), (5654) imply:
% 172.61/26.24 | | | | | | | | | | | | | | (5660) all_61_13 = all_20_1
% 172.61/26.24 | | | | | | | | | | | | | |
% 172.61/26.24 | | | | | | | | | | | | | | SIMP: (5660) implies:
% 172.61/26.24 | | | | | | | | | | | | | | (5661) all_61_13 = all_20_1
% 172.61/26.24 | | | | | | | | | | | | | |
% 172.61/26.24 | | | | | | | | | | | | | | COMBINE_EQS: (5652), (5653) imply:
% 172.61/26.24 | | | | | | | | | | | | | | (5662) all_61_7 = all_20_1
% 172.61/26.24 | | | | | | | | | | | | | |
% 172.61/26.24 | | | | | | | | | | | | | | SIMP: (5662) implies:
% 172.61/26.24 | | | | | | | | | | | | | | (5663) all_61_7 = all_20_1
% 172.61/26.24 | | | | | | | | | | | | | |
% 172.61/26.24 | | | | | | | | | | | | | | COMBINE_EQS: (508), (5663) imply:
% 172.61/26.24 | | | | | | | | | | | | | | (5664) all_63_13 = all_20_1
% 172.61/26.24 | | | | | | | | | | | | | |
% 172.61/26.24 | | | | | | | | | | | | | | REDUCE: (192), (5663) imply:
% 172.61/26.24 | | | | | | | | | | | | | | (5665) ~ (all_61_11 = all_20_1)
% 172.61/26.24 | | | | | | | | | | | | | |
% 172.61/26.24 | | | | | | | | | | | | | | SIMP: (5665) implies:
% 172.61/26.24 | | | | | | | | | | | | | | (5666) ~ (all_61_11 = all_20_1)
% 172.61/26.24 | | | | | | | | | | | | | |
% 172.61/26.24 | | | | | | | | | | | | | | REDUCE: (5350), (5661) imply:
% 172.61/26.24 | | | | | | | | | | | | | | (5667) ~ (all_20_1 = all_14_1)
% 172.61/26.24 | | | | | | | | | | | | | |
% 172.61/26.24 | | | | | | | | | | | | | | REDUCE: (5645), (5661) imply:
% 172.61/26.24 | | | | | | | | | | | | | | (5668) ~ (all_20_1 = e2)
% 172.61/26.24 | | | | | | | | | | | | | |
% 172.61/26.24 | | | | | | | | | | | | | | REDUCE: (4302), (5661) imply:
% 172.61/26.25 | | | | | | | | | | | | | | (5669) ~ (all_20_1 = e1)
% 172.61/26.25 | | | | | | | | | | | | | |
% 172.61/26.25 | | | | | | | | | | | | | | REDUCE: (5358), (5663) imply:
% 172.61/26.25 | | | | | | | | | | | | | | (5670) op(all_61_3, e3) = all_20_1
% 172.61/26.25 | | | | | | | | | | | | | |
% 172.61/26.25 | | | | | | | | | | | | | | REDUCE: (4352), (5663) imply:
% 172.61/26.25 | | | | | | | | | | | | | | (5671) op(all_20_1, e2) = all_61_11
% 172.61/26.25 | | | | | | | | | | | | | |
% 172.61/26.25 | | | | | | | | | | | | | | REDUCE: (689), (5663) imply:
% 172.61/26.25 | | | | | | | | | | | | | | (5672) op(all_20_1, e0) = all_65_63
% 172.61/26.25 | | | | | | | | | | | | | |
% 172.61/26.25 | | | | | | | | | | | | | | REDUCE: (649), (5657) imply:
% 172.61/26.25 | | | | | | | | | | | | | | (5673) op(all_61_12, e0) = all_14_1
% 172.61/26.25 | | | | | | | | | | | | | |
% 172.61/26.25 | | | | | | | | | | | | | | REDUCE: (663), (5661) imply:
% 172.61/26.25 | | | | | | | | | | | | | | (5674) op(all_20_1, e2) = all_65_29
% 172.61/26.25 | | | | | | | | | | | | | |
% 172.61/26.25 | | | | | | | | | | | | | | REDUCE: (665), (5655), (5661) imply:
% 172.61/26.25 | | | | | | | | | | | | | | (5675) op(all_20_1, e0) = e1
% 172.61/26.25 | | | | | | | | | | | | | |
% 172.61/26.25 | | | | | | | | | | | | | | REDUCE: (728), (5663) imply:
% 172.61/26.25 | | | | | | | | | | | | | | (5676) op(e2, all_20_1) = all_65_29
% 172.61/26.25 | | | | | | | | | | | | | |
% 172.61/26.25 | | | | | | | | | | | | | | REDUCE: (4356), (5661) imply:
% 172.61/26.25 | | | | | | | | | | | | | | (5677) op(e2, all_20_1) = all_61_14
% 172.61/26.25 | | | | | | | | | | | | | |
% 172.61/26.25 | | | | | | | | | | | | | | REDUCE: (756), (5661) imply:
% 172.61/26.25 | | | | | | | | | | | | | | (5678) op(e0, all_20_1) = all_65_63
% 172.61/26.25 | | | | | | | | | | | | | |
% 172.61/26.25 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_14, all_65_29,
% 172.61/26.25 | | | | | | | | | | | | | | all_20_1, e2, simplifying with (5676), (5677)
% 172.61/26.25 | | | | | | | | | | | | | | gives:
% 172.61/26.25 | | | | | | | | | | | | | | (5679) all_65_29 = all_61_14
% 172.61/26.25 | | | | | | | | | | | | | |
% 172.61/26.25 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e1, all_65_63, e0,
% 172.61/26.25 | | | | | | | | | | | | | | all_20_1, simplifying with (5672), (5675) gives:
% 172.61/26.25 | | | | | | | | | | | | | | (5680) all_65_63 = e1
% 172.61/26.25 | | | | | | | | | | | | | |
% 172.61/26.25 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_11, all_65_29, e2,
% 172.61/26.25 | | | | | | | | | | | | | | all_20_1, simplifying with (5671), (5674) gives:
% 172.61/26.25 | | | | | | | | | | | | | | (5681) all_65_29 = all_61_11
% 172.61/26.25 | | | | | | | | | | | | | |
% 172.61/26.25 | | | | | | | | | | | | | | COMBINE_EQS: (5679), (5681) imply:
% 172.61/26.25 | | | | | | | | | | | | | | (5682) all_61_11 = all_61_14
% 172.61/26.25 | | | | | | | | | | | | | |
% 172.61/26.25 | | | | | | | | | | | | | | COMBINE_EQS: (510), (5682) imply:
% 172.61/26.25 | | | | | | | | | | | | | | (5683) all_63_14 = all_61_14
% 172.61/26.25 | | | | | | | | | | | | | |
% 172.61/26.25 | | | | | | | | | | | | | | REDUCE: (188), (5682) imply:
% 172.61/26.25 | | | | | | | | | | | | | | (5684) ~ (all_61_8 = all_61_14)
% 172.61/26.25 | | | | | | | | | | | | | |
% 172.61/26.25 | | | | | | | | | | | | | | REDUCE: (5666), (5682) imply:
% 172.61/26.25 | | | | | | | | | | | | | | (5685) ~ (all_61_14 = all_20_1)
% 172.61/26.25 | | | | | | | | | | | | | |
% 172.61/26.25 | | | | | | | | | | | | | | REDUCE: (5644), (5682) imply:
% 172.61/26.25 | | | | | | | | | | | | | | (5686) ~ (all_61_14 = e2)
% 172.61/26.25 | | | | | | | | | | | | | |
% 172.61/26.25 | | | | | | | | | | | | | | REDUCE: (5678), (5680) imply:
% 172.61/26.25 | | | | | | | | | | | | | | (5687) op(e0, all_20_1) = e1
% 172.61/26.25 | | | | | | | | | | | | | |
% 172.61/26.25 | | | | | | | | | | | | | | BETA: splitting (157) gives:
% 172.61/26.25 | | | | | | | | | | | | | |
% 172.61/26.25 | | | | | | | | | | | | | | Case 1:
% 172.61/26.25 | | | | | | | | | | | | | | |
% 172.61/26.25 | | | | | | | | | | | | | | | (5688) ~ (all_58_3 = e1)
% 172.61/26.25 | | | | | | | | | | | | | | |
% 172.61/26.25 | | | | | | | | | | | | | | | REDUCE: (475), (5688) imply:
% 172.61/26.25 | | | | | | | | | | | | | | | (5689) ~ (all_52_3 = e1)
% 172.61/26.25 | | | | | | | | | | | | | | |
% 172.61/26.25 | | | | | | | | | | | | | | | BETA: splitting (159) gives:
% 172.61/26.25 | | | | | | | | | | | | | | |
% 172.61/26.25 | | | | | | | | | | | | | | | Case 1:
% 172.61/26.25 | | | | | | | | | | | | | | | |
% 172.61/26.25 | | | | | | | | | | | | | | | | (5690) ~ (all_58_3 = e3)
% 172.61/26.25 | | | | | | | | | | | | | | | |
% 172.61/26.25 | | | | | | | | | | | | | | | | REDUCE: (475), (5690) imply:
% 172.61/26.25 | | | | | | | | | | | | | | | | (5691) ~ (all_52_3 = e3)
% 172.61/26.25 | | | | | | | | | | | | | | | |
% 172.61/26.25 | | | | | | | | | | | | | | | | BETA: splitting (158) gives:
% 172.61/26.25 | | | | | | | | | | | | | | | |
% 172.61/26.25 | | | | | | | | | | | | | | | | Case 1:
% 172.61/26.25 | | | | | | | | | | | | | | | | |
% 172.61/26.25 | | | | | | | | | | | | | | | | | (5692) ~ (all_58_3 = e2)
% 172.61/26.25 | | | | | | | | | | | | | | | | |
% 172.61/26.25 | | | | | | | | | | | | | | | | | REDUCE: (475), (5692) imply:
% 172.61/26.25 | | | | | | | | | | | | | | | | | (5693) ~ (all_52_3 = e2)
% 172.61/26.25 | | | | | | | | | | | | | | | | |
% 172.61/26.25 | | | | | | | | | | | | | | | | | BETA: splitting (148) gives:
% 172.61/26.25 | | | | | | | | | | | | | | | | |
% 172.61/26.25 | | | | | | | | | | | | | | | | | Case 1:
% 172.61/26.25 | | | | | | | | | | | | | | | | | |
% 172.61/26.25 | | | | | | | | | | | | | | | | | | (5694) all_56_3 = e3
% 172.61/26.25 | | | | | | | | | | | | | | | | | |
% 172.61/26.25 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (539), (5694) imply:
% 172.61/26.25 | | | | | | | | | | | | | | | | | | (5695) all_52_3 = e3
% 172.61/26.25 | | | | | | | | | | | | | | | | | |
% 172.61/26.25 | | | | | | | | | | | | | | | | | | REDUCE: (5691), (5695) imply:
% 172.61/26.25 | | | | | | | | | | | | | | | | | | (5696) $false
% 172.61/26.25 | | | | | | | | | | | | | | | | | |
% 172.61/26.25 | | | | | | | | | | | | | | | | | | CLOSE: (5696) is inconsistent.
% 172.61/26.25 | | | | | | | | | | | | | | | | | |
% 172.61/26.25 | | | | | | | | | | | | | | | | | Case 2:
% 172.61/26.25 | | | | | | | | | | | | | | | | | |
% 172.61/26.25 | | | | | | | | | | | | | | | | | | (5697) all_56_3 = e2 | all_56_3 = e1 | all_56_3 = e0
% 172.61/26.25 | | | | | | | | | | | | | | | | | |
% 172.61/26.25 | | | | | | | | | | | | | | | | | | BETA: splitting (5697) gives:
% 172.61/26.25 | | | | | | | | | | | | | | | | | |
% 172.61/26.25 | | | | | | | | | | | | | | | | | | Case 1:
% 172.61/26.25 | | | | | | | | | | | | | | | | | | |
% 172.61/26.25 | | | | | | | | | | | | | | | | | | | (5698) all_56_3 = e2
% 172.61/26.25 | | | | | | | | | | | | | | | | | | |
% 172.61/26.25 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (539), (5698) imply:
% 172.61/26.25 | | | | | | | | | | | | | | | | | | | (5699) all_52_3 = e2
% 172.61/26.25 | | | | | | | | | | | | | | | | | | |
% 172.61/26.25 | | | | | | | | | | | | | | | | | | | REDUCE: (5693), (5699) imply:
% 172.61/26.25 | | | | | | | | | | | | | | | | | | | (5700) $false
% 172.61/26.25 | | | | | | | | | | | | | | | | | | |
% 172.61/26.25 | | | | | | | | | | | | | | | | | | | CLOSE: (5700) is inconsistent.
% 172.61/26.25 | | | | | | | | | | | | | | | | | | |
% 172.61/26.25 | | | | | | | | | | | | | | | | | | Case 2:
% 172.61/26.25 | | | | | | | | | | | | | | | | | | |
% 172.61/26.25 | | | | | | | | | | | | | | | | | | | (5701) all_56_3 = e1 | all_56_3 = e0
% 172.61/26.25 | | | | | | | | | | | | | | | | | | |
% 172.61/26.25 | | | | | | | | | | | | | | | | | | | BETA: splitting (5701) gives:
% 172.61/26.25 | | | | | | | | | | | | | | | | | | |
% 172.61/26.25 | | | | | | | | | | | | | | | | | | | Case 1:
% 172.61/26.25 | | | | | | | | | | | | | | | | | | | |
% 172.61/26.25 | | | | | | | | | | | | | | | | | | | | (5702) all_56_3 = e1
% 172.61/26.25 | | | | | | | | | | | | | | | | | | | |
% 172.61/26.25 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (539), (5702) imply:
% 172.61/26.25 | | | | | | | | | | | | | | | | | | | | (5703) all_52_3 = e1
% 172.61/26.25 | | | | | | | | | | | | | | | | | | | |
% 172.61/26.25 | | | | | | | | | | | | | | | | | | | | REDUCE: (5689), (5703) imply:
% 172.61/26.25 | | | | | | | | | | | | | | | | | | | | (5704) $false
% 172.61/26.25 | | | | | | | | | | | | | | | | | | | |
% 172.61/26.25 | | | | | | | | | | | | | | | | | | | | CLOSE: (5704) is inconsistent.
% 172.61/26.25 | | | | | | | | | | | | | | | | | | | |
% 172.61/26.25 | | | | | | | | | | | | | | | | | | | Case 2:
% 172.61/26.25 | | | | | | | | | | | | | | | | | | | |
% 172.61/26.25 | | | | | | | | | | | | | | | | | | | | (5705) all_56_3 = e0
% 172.61/26.25 | | | | | | | | | | | | | | | | | | | |
% 172.61/26.25 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (539), (5705) imply:
% 172.61/26.25 | | | | | | | | | | | | | | | | | | | | (5706) all_52_3 = e0
% 172.61/26.25 | | | | | | | | | | | | | | | | | | | |
% 172.61/26.25 | | | | | | | | | | | | | | | | | | | | REDUCE: (765), (5706) imply:
% 172.61/26.25 | | | | | | | | | | | | | | | | | | | | (5707) op(e0, e0) = unit
% 172.61/26.25 | | | | | | | | | | | | | | | | | | | |
% 172.61/26.25 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e2, unit, e0, e0,
% 172.61/26.25 | | | | | | | | | | | | | | | | | | | | simplifying with (5651), (5707) gives:
% 172.61/26.25 | | | | | | | | | | | | | | | | | | | | (5708) unit = e2
% 172.61/26.25 | | | | | | | | | | | | | | | | | | | |
% 172.61/26.25 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (20), (50), (4309), (5708) are inconsistent
% 172.61/26.25 | | | | | | | | | | | | | | | | | | | | by sub-proof #306.
% 172.61/26.25 | | | | | | | | | | | | | | | | | | | |
% 172.61/26.25 | | | | | | | | | | | | | | | | | | | End of split
% 172.61/26.25 | | | | | | | | | | | | | | | | | | |
% 172.61/26.25 | | | | | | | | | | | | | | | | | | End of split
% 172.61/26.25 | | | | | | | | | | | | | | | | | |
% 172.61/26.25 | | | | | | | | | | | | | | | | | End of split
% 172.61/26.25 | | | | | | | | | | | | | | | | |
% 172.61/26.25 | | | | | | | | | | | | | | | | Case 2:
% 172.61/26.25 | | | | | | | | | | | | | | | | |
% 172.61/26.25 | | | | | | | | | | | | | | | | | (5709) all_58_3 = e2
% 172.61/26.25 | | | | | | | | | | | | | | | | | (5710) all_58_1 = e0
% 172.61/26.25 | | | | | | | | | | | | | | | | |
% 172.61/26.25 | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (50), (225), (231), (475), (481), (663),
% 172.61/26.25 | | | | | | | | | | | | | | | | | (728), (731), (765), (4352), (4356), (5686),
% 172.61/26.25 | | | | | | | | | | | | | | | | | (5709), (5710) are inconsistent by sub-proof #324.
% 172.61/26.25 | | | | | | | | | | | | | | | | |
% 172.61/26.25 | | | | | | | | | | | | | | | | End of split
% 172.61/26.25 | | | | | | | | | | | | | | | |
% 172.61/26.25 | | | | | | | | | | | | | | | Case 2:
% 172.61/26.25 | | | | | | | | | | | | | | | |
% 172.61/26.25 | | | | | | | | | | | | | | | | (5711) all_58_3 = e3
% 172.61/26.25 | | | | | | | | | | | | | | | | (5712) all_58_0 = e0
% 172.61/26.25 | | | | | | | | | | | | | | | |
% 172.61/26.25 | | | | | | | | | | | | | | | | COMBINE_EQS: (484), (5712) imply:
% 172.61/26.25 | | | | | | | | | | | | | | | | (5713) all_52_0 = e0
% 172.61/26.25 | | | | | | | | | | | | | | | |
% 172.61/26.25 | | | | | | | | | | | | | | | | SIMP: (5713) implies:
% 172.61/26.25 | | | | | | | | | | | | | | | | (5714) all_52_0 = e0
% 172.61/26.25 | | | | | | | | | | | | | | | |
% 172.61/26.25 | | | | | | | | | | | | | | | | COMBINE_EQS: (475), (5711) imply:
% 172.61/26.25 | | | | | | | | | | | | | | | | (5715) all_52_3 = e3
% 172.61/26.25 | | | | | | | | | | | | | | | |
% 172.61/26.25 | | | | | | | | | | | | | | | | REDUCE: (714), (5714) imply:
% 172.61/26.25 | | | | | | | | | | | | | | | | (5716) op(e3, e0) = unit
% 172.61/26.25 | | | | | | | | | | | | | | | |
% 172.61/26.25 | | | | | | | | | | | | | | | | REDUCE: (765), (5715) imply:
% 172.61/26.25 | | | | | | | | | | | | | | | | (5717) op(e0, e3) = unit
% 172.61/26.25 | | | | | | | | | | | | | | | |
% 172.61/26.25 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_3, unit, e3, e0,
% 172.61/26.25 | | | | | | | | | | | | | | | | simplifying with (226), (5717) gives:
% 172.61/26.25 | | | | | | | | | | | | | | | | (5718) all_61_3 = unit
% 172.61/26.25 | | | | | | | | | | | | | | | |
% 172.61/26.25 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_12, unit, e0, e3,
% 172.61/26.25 | | | | | | | | | | | | | | | | simplifying with (235), (5716) gives:
% 172.61/26.25 | | | | | | | | | | | | | | | | (5719) all_61_12 = unit
% 172.61/26.25 | | | | | | | | | | | | | | | |
% 172.61/26.25 | | | | | | | | | | | | | | | | REDUCE: (187), (5719) imply:
% 172.61/26.25 | | | | | | | | | | | | | | | | (5720) ~ (all_61_8 = unit)
% 172.61/26.25 | | | | | | | | | | | | | | | |
% 172.61/26.25 | | | | | | | | | | | | | | | | REDUCE: (179), (5719) imply:
% 172.61/26.25 | | | | | | | | | | | | | | | | (5721) ~ (all_61_14 = unit)
% 172.61/26.25 | | | | | | | | | | | | | | | |
% 172.61/26.25 | | | | | | | | | | | | | | | | SIMP: (5721) implies:
% 172.61/26.25 | | | | | | | | | | | | | | | | (5722) ~ (all_61_14 = unit)
% 172.61/26.25 | | | | | | | | | | | | | | | |
% 172.61/26.25 | | | | | | | | | | | | | | | | REDUCE: (5352), (5719) imply:
% 172.61/26.25 | | | | | | | | | | | | | | | | (5723) ~ (all_14_1 = unit)
% 172.61/26.25 | | | | | | | | | | | | | | | |
% 172.61/26.25 | | | | | | | | | | | | | | | | SIMP: (5723) implies:
% 172.61/26.25 | | | | | | | | | | | | | | | | (5724) ~ (all_14_1 = unit)
% 172.61/26.25 | | | | | | | | | | | | | | | |
% 172.61/26.25 | | | | | | | | | | | | | | | | REDUCE: (5317), (5719) imply:
% 172.61/26.25 | | | | | | | | | | | | | | | | (5725) ~ (unit = e2)
% 172.61/26.25 | | | | | | | | | | | | | | | |
% 172.61/26.25 | | | | | | | | | | | | | | | | REDUCE: (5670), (5718) imply:
% 172.61/26.25 | | | | | | | | | | | | | | | | (5726) op(unit, e3) = all_20_1
% 172.61/26.25 | | | | | | | | | | | | | | | |
% 172.61/26.25 | | | | | | | | | | | | | | | | REDUCE: (685), (5718) imply:
% 172.61/26.25 | | | | | | | | | | | | | | | | (5727) op(unit, e0) = all_65_55
% 172.61/26.25 | | | | | | | | | | | | | | | |
% 172.61/26.25 | | | | | | | | | | | | | | | | REDUCE: (646), (5719) imply:
% 172.61/26.25 | | | | | | | | | | | | | | | | (5728) op(unit, e3) = all_65_12
% 172.61/26.25 | | | | | | | | | | | | | | | |
% 172.61/26.25 | | | | | | | | | | | | | | | | REDUCE: (5673), (5719) imply:
% 172.61/26.25 | | | | | | | | | | | | | | | | (5729) op(unit, e0) = all_14_1
% 172.61/26.25 | | | | | | | | | | | | | | | |
% 172.61/26.25 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e0, all_65_55, e0, unit,
% 172.61/26.25 | | | | | | | | | | | | | | | | simplifying with (7), (5727) gives:
% 172.61/26.25 | | | | | | | | | | | | | | | | (5730) all_65_55 = e0
% 172.61/26.25 | | | | | | | | | | | | | | | |
% 172.61/26.25 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_14_1, all_65_55, e0,
% 172.61/26.25 | | | | | | | | | | | | | | | | unit, simplifying with (5727), (5729) gives:
% 172.61/26.25 | | | | | | | | | | | | | | | | (5731) all_65_55 = all_14_1
% 172.61/26.25 | | | | | | | | | | | | | | | |
% 172.61/26.25 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e3, all_65_12, e3, unit,
% 172.61/26.25 | | | | | | | | | | | | | | | | simplifying with (10), (5728) gives:
% 172.61/26.25 | | | | | | | | | | | | | | | | (5732) all_65_12 = e3
% 172.61/26.25 | | | | | | | | | | | | | | | |
% 172.61/26.25 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_20_1, all_65_12, e3,
% 172.61/26.25 | | | | | | | | | | | | | | | | unit, simplifying with (5726), (5728) gives:
% 172.61/26.25 | | | | | | | | | | | | | | | | (5733) all_65_12 = all_20_1
% 172.61/26.25 | | | | | | | | | | | | | | | |
% 172.61/26.25 | | | | | | | | | | | | | | | | COMBINE_EQS: (5732), (5733) imply:
% 172.61/26.25 | | | | | | | | | | | | | | | | (5734) all_20_1 = e3
% 172.61/26.25 | | | | | | | | | | | | | | | |
% 172.61/26.25 | | | | | | | | | | | | | | | | COMBINE_EQS: (5730), (5731) imply:
% 172.61/26.25 | | | | | | | | | | | | | | | | (5735) all_14_1 = e0
% 172.61/26.25 | | | | | | | | | | | | | | | |
% 172.61/26.25 | | | | | | | | | | | | | | | | REDUCE: (5685), (5734) imply:
% 172.61/26.25 | | | | | | | | | | | | | | | | (5736) ~ (all_61_14 = e3)
% 172.61/26.25 | | | | | | | | | | | | | | | |
% 172.61/26.25 | | | | | | | | | | | | | | | | REDUCE: (5724), (5735) imply:
% 172.61/26.25 | | | | | | | | | | | | | | | | (5737) ~ (unit = e0)
% 172.61/26.25 | | | | | | | | | | | | | | | |
% 172.61/26.25 | | | | | | | | | | | | | | | | SIMP: (5737) implies:
% 172.61/26.25 | | | | | | | | | | | | | | | | (5738) ~ (unit = e0)
% 172.61/26.25 | | | | | | | | | | | | | | | |
% 172.61/26.25 | | | | | | | | | | | | | | | | REDUCE: (5687), (5734) imply:
% 172.61/26.25 | | | | | | | | | | | | | | | | (5739) op(e0, e3) = e1
% 172.61/26.25 | | | | | | | | | | | | | | | |
% 172.61/26.25 | | | | | | | | | | | | | | | | BETA: splitting (5313) gives:
% 172.61/26.25 | | | | | | | | | | | | | | | |
% 172.61/26.25 | | | | | | | | | | | | | | | | Case 1:
% 172.61/26.25 | | | | | | | | | | | | | | | | |
% 172.61/26.25 | | | | | | | | | | | | | | | | | (5740) ~ (all_14_1 = e0)
% 172.61/26.25 | | | | | | | | | | | | | | | | |
% 172.61/26.25 | | | | | | | | | | | | | | | | | REF_CLOSE: (257), (267), (269), (489), (852), (5346), (5354),
% 172.61/26.25 | | | | | | | | | | | | | | | | | (5369), (5370), (5683), (5684), (5686), (5720),
% 172.61/26.25 | | | | | | | | | | | | | | | | | (5722), (5724), (5725), (5736), (5738), (5740) are
% 172.61/26.25 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #296.
% 172.61/26.25 | | | | | | | | | | | | | | | | |
% 172.61/26.25 | | | | | | | | | | | | | | | | Case 2:
% 172.61/26.25 | | | | | | | | | | | | | | | | |
% 172.61/26.25 | | | | | | | | | | | | | | | | | (5741) ~ (all_14_0 = e1) & op(e0, e3) = all_14_0 &
% 172.61/26.25 | | | | | | | | | | | | | | | | | $i(all_14_0)
% 172.61/26.25 | | | | | | | | | | | | | | | | |
% 172.61/26.25 | | | | | | | | | | | | | | | | | ALPHA: (5741) implies:
% 172.61/26.25 | | | | | | | | | | | | | | | | | (5742) ~ (all_14_0 = e1)
% 172.61/26.25 | | | | | | | | | | | | | | | | | (5743) op(e0, e3) = all_14_0
% 172.61/26.25 | | | | | | | | | | | | | | | | |
% 172.61/26.25 | | | | | | | | | | | | | | | | | REF_CLOSE: (50), (5739), (5742), (5743) are inconsistent by
% 172.61/26.25 | | | | | | | | | | | | | | | | | sub-proof #304.
% 172.61/26.25 | | | | | | | | | | | | | | | | |
% 172.61/26.25 | | | | | | | | | | | | | | | | End of split
% 172.61/26.25 | | | | | | | | | | | | | | | |
% 172.61/26.25 | | | | | | | | | | | | | | | End of split
% 172.61/26.25 | | | | | | | | | | | | | | |
% 172.61/26.25 | | | | | | | | | | | | | | Case 2:
% 172.61/26.25 | | | | | | | | | | | | | | |
% 172.61/26.25 | | | | | | | | | | | | | | | (5744) all_58_2 = e0
% 172.61/26.25 | | | | | | | | | | | | | | |
% 172.61/26.25 | | | | | | | | | | | | | | | COMBINE_EQS: (478), (5744) imply:
% 172.61/26.25 | | | | | | | | | | | | | | | (5745) all_52_2 = e0
% 172.61/26.25 | | | | | | | | | | | | | | |
% 172.61/26.25 | | | | | | | | | | | | | | | REDUCE: (748), (5745) imply:
% 172.61/26.25 | | | | | | | | | | | | | | | (5746) op(e1, e0) = unit
% 172.61/26.25 | | | | | | | | | | | | | | |
% 172.61/26.25 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_14, unit, e0, e1,
% 172.61/26.25 | | | | | | | | | | | | | | | simplifying with (227), (5746) gives:
% 172.61/26.25 | | | | | | | | | | | | | | | (5747) all_61_14 = unit
% 172.61/26.25 | | | | | | | | | | | | | | |
% 172.61/26.25 | | | | | | | | | | | | | | | REDUCE: (5685), (5747) imply:
% 172.61/26.25 | | | | | | | | | | | | | | | (5748) ~ (all_20_1 = unit)
% 172.61/26.25 | | | | | | | | | | | | | | |
% 172.61/26.25 | | | | | | | | | | | | | | | SIMP: (5748) implies:
% 172.61/26.25 | | | | | | | | | | | | | | | (5749) ~ (all_20_1 = unit)
% 172.61/26.25 | | | | | | | | | | | | | | |
% 172.61/26.25 | | | | | | | | | | | | | | | REDUCE: (5686), (5747) imply:
% 172.61/26.25 | | | | | | | | | | | | | | | (5750) ~ (unit = e2)
% 172.61/26.25 | | | | | | | | | | | | | | |
% 172.61/26.25 | | | | | | | | | | | | | | | REDUCE: (868), (5747) imply:
% 172.61/26.25 | | | | | | | | | | | | | | | (5751) ~ (unit = e1)
% 172.61/26.25 | | | | | | | | | | | | | | |
% 172.61/26.25 | | | | | | | | | | | | | | | BETA: splitting (852) gives:
% 172.61/26.25 | | | | | | | | | | | | | | |
% 172.61/26.25 | | | | | | | | | | | | | | | Case 1:
% 172.61/26.25 | | | | | | | | | | | | | | | |
% 172.61/26.25 | | | | | | | | | | | | | | | | (5752) unit = e2
% 172.61/26.25 | | | | | | | | | | | | | | | |
% 172.61/26.25 | | | | | | | | | | | | | | | | REDUCE: (5750), (5752) imply:
% 172.61/26.25 | | | | | | | | | | | | | | | | (5753) $false
% 172.61/26.25 | | | | | | | | | | | | | | | |
% 172.61/26.25 | | | | | | | | | | | | | | | | CLOSE: (5753) is inconsistent.
% 172.61/26.25 | | | | | | | | | | | | | | | |
% 172.61/26.25 | | | | | | | | | | | | | | | Case 2:
% 172.61/26.25 | | | | | | | | | | | | | | | |
% 172.61/26.25 | | | | | | | | | | | | | | | | (5754) unit = e1 | unit = e0
% 172.61/26.25 | | | | | | | | | | | | | | | |
% 172.61/26.25 | | | | | | | | | | | | | | | | BETA: splitting (5754) gives:
% 172.61/26.25 | | | | | | | | | | | | | | | |
% 172.61/26.25 | | | | | | | | | | | | | | | | Case 1:
% 172.61/26.25 | | | | | | | | | | | | | | | | |
% 172.61/26.25 | | | | | | | | | | | | | | | | | (5755) unit = e1
% 172.61/26.25 | | | | | | | | | | | | | | | | |
% 172.61/26.25 | | | | | | | | | | | | | | | | | REDUCE: (5751), (5755) imply:
% 172.61/26.25 | | | | | | | | | | | | | | | | | (5756) $false
% 172.61/26.25 | | | | | | | | | | | | | | | | |
% 172.61/26.25 | | | | | | | | | | | | | | | | | CLOSE: (5756) is inconsistent.
% 172.61/26.25 | | | | | | | | | | | | | | | | |
% 172.61/26.25 | | | | | | | | | | | | | | | | Case 2:
% 172.61/26.25 | | | | | | | | | | | | | | | | |
% 172.61/26.25 | | | | | | | | | | | | | | | | | (5757) unit = e0
% 172.61/26.25 | | | | | | | | | | | | | | | | |
% 172.61/26.25 | | | | | | | | | | | | | | | | | REDUCE: (5749), (5757) imply:
% 172.61/26.25 | | | | | | | | | | | | | | | | | (5758) ~ (all_20_1 = e0)
% 172.61/26.25 | | | | | | | | | | | | | | | | |
% 172.61/26.25 | | | | | | | | | | | | | | | | | BETA: splitting (258) gives:
% 172.61/26.25 | | | | | | | | | | | | | | | | |
% 172.61/26.25 | | | | | | | | | | | | | | | | | Case 1:
% 172.61/26.25 | | | | | | | | | | | | | | | | | |
% 172.61/26.25 | | | | | | | | | | | | | | | | | | (5759) all_63_13 = e3
% 172.61/26.25 | | | | | | | | | | | | | | | | | |
% 172.61/26.25 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5664), (5759) imply:
% 172.61/26.25 | | | | | | | | | | | | | | | | | | (5760) all_20_1 = e3
% 172.61/26.25 | | | | | | | | | | | | | | | | | |
% 172.61/26.25 | | | | | | | | | | | | | | | | | | REDUCE: (5667), (5760) imply:
% 172.61/26.25 | | | | | | | | | | | | | | | | | | (5761) ~ (all_14_1 = e3)
% 172.61/26.25 | | | | | | | | | | | | | | | | | |
% 172.61/26.25 | | | | | | | | | | | | | | | | | | SIMP: (5761) implies:
% 172.61/26.25 | | | | | | | | | | | | | | | | | | (5762) ~ (all_14_1 = e3)
% 172.61/26.25 | | | | | | | | | | | | | | | | | |
% 172.61/26.25 | | | | | | | | | | | | | | | | | | REDUCE: (5687), (5760) imply:
% 172.61/26.25 | | | | | | | | | | | | | | | | | | (5763) op(e0, e3) = e1
% 172.61/26.25 | | | | | | | | | | | | | | | | | |
% 172.61/26.25 | | | | | | | | | | | | | | | | | | REF_CLOSE: (50), (267), (5313), (5346), (5354), (5355),
% 172.61/26.25 | | | | | | | | | | | | | | | | | | (5762), (5763) are inconsistent by sub-proof #295.
% 172.61/26.25 | | | | | | | | | | | | | | | | | |
% 172.61/26.25 | | | | | | | | | | | | | | | | | Case 2:
% 172.61/26.25 | | | | | | | | | | | | | | | | | |
% 172.61/26.25 | | | | | | | | | | | | | | | | | | (5764) all_63_13 = e2 | all_63_13 = e1 | all_63_13 = e0
% 172.61/26.25 | | | | | | | | | | | | | | | | | |
% 172.61/26.25 | | | | | | | | | | | | | | | | | | REF_CLOSE: (5664), (5668), (5669), (5758), (5764) are
% 172.61/26.25 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #380.
% 172.61/26.25 | | | | | | | | | | | | | | | | | |
% 172.61/26.25 | | | | | | | | | | | | | | | | | End of split
% 172.61/26.25 | | | | | | | | | | | | | | | | |
% 172.61/26.25 | | | | | | | | | | | | | | | | End of split
% 172.61/26.25 | | | | | | | | | | | | | | | |
% 172.61/26.25 | | | | | | | | | | | | | | | End of split
% 172.61/26.25 | | | | | | | | | | | | | | |
% 172.61/26.25 | | | | | | | | | | | | | | End of split
% 172.61/26.25 | | | | | | | | | | | | | |
% 172.61/26.25 | | | | | | | | | | | | | End of split
% 172.61/26.25 | | | | | | | | | | | | |
% 172.61/26.25 | | | | | | | | | | | | End of split
% 172.61/26.25 | | | | | | | | | | | |
% 172.61/26.25 | | | | | | | | | | | End of split
% 172.61/26.25 | | | | | | | | | | |
% 172.61/26.25 | | | | | | | | | | End of split
% 172.61/26.25 | | | | | | | | | |
% 172.61/26.25 | | | | | | | | | End of split
% 172.61/26.25 | | | | | | | | |
% 172.61/26.25 | | | | | | | | Case 2:
% 172.61/26.25 | | | | | | | | |
% 172.61/26.25 | | | | | | | | | (5765) all_63_10 = e0
% 172.61/26.25 | | | | | | | | |
% 172.61/26.25 | | | | | | | | | REF_CLOSE: (586), (769), (5765) are inconsistent by sub-proof
% 172.61/26.25 | | | | | | | | | #294.
% 172.61/26.25 | | | | | | | | |
% 172.61/26.25 | | | | | | | | End of split
% 172.61/26.25 | | | | | | | |
% 172.61/26.25 | | | | | | | End of split
% 172.61/26.25 | | | | | | |
% 172.61/26.25 | | | | | | End of split
% 172.61/26.25 | | | | | |
% 172.61/26.25 | | | | | Case 2:
% 172.61/26.25 | | | | | |
% 172.61/26.25 | | | | | | (5766) all_10_2 = e2
% 172.61/26.25 | | | | | | (5767) op(e1, e2) = all_10_1 & $i(all_10_1) & ( ~ (all_10_1 = e3)
% 172.61/26.25 | | | | | | | ( ~ (all_10_0 = e0) & op(e3, e1) = all_10_0 &
% 172.61/26.25 | | | | | | $i(all_10_0)))
% 172.61/26.25 | | | | | |
% 172.61/26.25 | | | | | | ALPHA: (5767) implies:
% 172.61/26.25 | | | | | | (5768) op(e1, e2) = all_10_1
% 172.61/26.25 | | | | | | (5769) ~ (all_10_1 = e3) | ( ~ (all_10_0 = e0) & op(e3, e1) =
% 172.61/26.25 | | | | | | all_10_0 & $i(all_10_0))
% 172.61/26.25 | | | | | |
% 172.61/26.25 | | | | | | COMBINE_EQS: (572), (5766) imply:
% 172.61/26.25 | | | | | | (5770) all_4_2 = e2
% 172.61/26.25 | | | | | |
% 172.61/26.25 | | | | | | COMBINE_EQS: (503), (5770) imply:
% 172.61/26.26 | | | | | | (5771) all_18_2 = e2
% 172.61/26.26 | | | | | |
% 172.61/26.26 | | | | | | REDUCE: (605), (5770) imply:
% 172.61/26.26 | | | | | | (5772) ~ (all_61_2 = e2)
% 172.61/26.26 | | | | | |
% 172.61/26.26 | | | | | | REDUCE: (618), (5770) imply:
% 172.61/26.26 | | | | | | (5773) ~ (all_61_8 = e2)
% 172.61/26.26 | | | | | |
% 172.61/26.26 | | | | | | REDUCE: (619), (5770) imply:
% 172.61/26.26 | | | | | | (5774) ~ (all_61_9 = e2)
% 172.61/26.26 | | | | | |
% 172.61/26.26 | | | | | | REDUCE: (621), (5770) imply:
% 172.61/26.26 | | | | | | (5775) ~ (all_61_11 = e2)
% 172.61/26.26 | | | | | |
% 172.61/26.26 | | | | | | REDUCE: (623), (5770) imply:
% 172.61/26.26 | | | | | | (5776) ~ (all_61_14 = e2)
% 172.61/26.26 | | | | | |
% 172.61/26.26 | | | | | | REDUCE: (674), (5770) imply:
% 172.61/26.26 | | | | | | (5777) op(e2, e3) = all_65_40
% 172.61/26.26 | | | | | |
% 172.61/26.26 | | | | | | REDUCE: (675), (5770) imply:
% 172.61/26.26 | | | | | | (5778) op(e2, e2) = all_65_41
% 172.61/26.26 | | | | | |
% 172.61/26.26 | | | | | | REDUCE: (676), (5770) imply:
% 172.61/26.26 | | | | | | (5779) op(e2, e1) = all_65_42
% 172.61/26.26 | | | | | |
% 172.61/26.26 | | | | | | REDUCE: (677), (5770) imply:
% 172.61/26.26 | | | | | | (5780) op(e2, e0) = all_65_43
% 172.61/26.26 | | | | | |
% 172.61/26.26 | | | | | | REDUCE: (708), (5770) imply:
% 172.61/26.26 | | | | | | (5781) op(e3, e2) = all_65_10
% 172.61/26.26 | | | | | |
% 172.61/26.26 | | | | | | REDUCE: (725), (5770) imply:
% 172.61/26.26 | | | | | | (5782) op(e2, e2) = all_65_26
% 172.61/26.26 | | | | | |
% 172.61/26.26 | | | | | | REDUCE: (742), (5770) imply:
% 172.61/26.26 | | | | | | (5783) op(e1, e2) = all_65_42
% 172.61/26.26 | | | | | |
% 172.61/26.26 | | | | | | REDUCE: (52), (5770) imply:
% 172.61/26.26 | | | | | | (5784) op(e1, e1) = e2
% 172.61/26.26 | | | | | |
% 172.61/26.26 | | | | | | REDUCE: (759), (5770) imply:
% 172.61/26.26 | | | | | | (5785) op(e0, e2) = all_65_69
% 172.61/26.26 | | | | | |
% 172.61/26.26 | | | | | | BETA: splitting (74) gives:
% 172.61/26.26 | | | | | |
% 172.61/26.26 | | | | | | Case 1:
% 172.61/26.26 | | | | | | |
% 172.61/26.26 | | | | | | | (5786) ~ (all_18_2 = e2)
% 172.61/26.26 | | | | | | |
% 172.61/26.26 | | | | | | | REDUCE: (5771), (5786) imply:
% 172.61/26.26 | | | | | | | (5787) $false
% 172.61/26.26 | | | | | | |
% 172.61/26.26 | | | | | | | CLOSE: (5787) is inconsistent.
% 172.61/26.26 | | | | | | |
% 172.61/26.26 | | | | | | Case 2:
% 172.61/26.26 | | | | | | |
% 172.61/26.26 | | | | | | | (5788) op(e1, e2) = all_18_1 & $i(all_18_1) & ( ~ (all_18_1 =
% 172.61/26.26 | | | | | | | e0) | ( ~ (all_18_0 = e3) & op(e0, e1) = all_18_0 &
% 172.61/26.26 | | | | | | | $i(all_18_0)))
% 172.61/26.26 | | | | | | |
% 172.61/26.26 | | | | | | | ALPHA: (5788) implies:
% 172.61/26.26 | | | | | | | (5789) op(e1, e2) = all_18_1
% 172.61/26.26 | | | | | | | (5790) ~ (all_18_1 = e0) | ( ~ (all_18_0 = e3) & op(e0, e1) =
% 172.61/26.26 | | | | | | | all_18_0 & $i(all_18_0))
% 172.61/26.26 | | | | | | |
% 172.61/26.26 | | | | | | | GROUND_INST: instantiating (50) with all_61_7, all_65_69, e2, e0,
% 172.61/26.26 | | | | | | | simplifying with (225), (5785) gives:
% 172.61/26.26 | | | | | | | (5791) all_65_69 = all_61_7
% 172.61/26.26 | | | | | | |
% 172.61/26.26 | | | | | | | GROUND_INST: instantiating (50) with all_61_6, all_10_1, e2, e1,
% 172.61/26.26 | | | | | | | simplifying with (229), (5768) gives:
% 172.61/26.26 | | | | | | | (5792) all_61_6 = all_10_1
% 172.61/26.26 | | | | | | |
% 172.61/26.26 | | | | | | | GROUND_INST: instantiating (50) with all_61_6, all_65_42, e2, e1,
% 172.61/26.26 | | | | | | | simplifying with (229), (5783) gives:
% 172.61/26.26 | | | | | | | (5793) all_65_42 = all_61_6
% 172.61/26.26 | | | | | | |
% 172.61/26.26 | | | | | | | GROUND_INST: instantiating (50) with all_18_1, all_65_42, e2, e1,
% 172.61/26.26 | | | | | | | simplifying with (5783), (5789) gives:
% 172.61/26.26 | | | | | | | (5794) all_65_42 = all_18_1
% 172.61/26.26 | | | | | | |
% 172.61/26.26 | | | | | | | GROUND_INST: instantiating (50) with all_61_13, all_65_43, e0, e2,
% 172.61/26.26 | | | | | | | simplifying with (231), (5780) gives:
% 172.61/26.26 | | | | | | | (5795) all_65_43 = all_61_13
% 172.61/26.26 | | | | | | |
% 172.61/26.26 | | | | | | | GROUND_INST: instantiating (50) with all_61_9, all_65_42, e1, e2,
% 172.61/26.26 | | | | | | | simplifying with (232), (5779) gives:
% 172.61/26.26 | | | | | | | (5796) all_65_42 = all_61_9
% 172.61/26.26 | | | | | | |
% 172.61/26.26 | | | | | | | GROUND_INST: instantiating (50) with all_6_2, all_65_26, e2, e2,
% 172.61/26.26 | | | | | | | simplifying with (55), (5782) gives:
% 172.61/26.26 | | | | | | | (5797) all_65_26 = all_6_2
% 172.61/26.26 | | | | | | |
% 172.61/26.26 | | | | | | | GROUND_INST: instantiating (50) with all_65_41, all_65_26, e2, e2,
% 172.61/26.26 | | | | | | | simplifying with (5778), (5782) gives:
% 172.61/26.26 | | | | | | | (5798) all_65_26 = all_65_41
% 172.61/26.26 | | | | | | |
% 172.61/26.26 | | | | | | | GROUND_INST: instantiating (50) with all_61_1, all_65_40, e3, e2,
% 172.61/26.26 | | | | | | | simplifying with (234), (5777) gives:
% 172.61/26.26 | | | | | | | (5799) all_65_40 = all_61_1
% 172.61/26.26 | | | | | | |
% 172.61/26.26 | | | | | | | GROUND_INST: instantiating (50) with all_61_4, all_65_10, e2, e3,
% 172.61/26.26 | | | | | | | simplifying with (237), (5781) gives:
% 172.61/26.26 | | | | | | | (5800) all_65_10 = all_61_4
% 172.61/26.26 | | | | | | |
% 172.61/26.26 | | | | | | | COMBINE_EQS: (5797), (5798) imply:
% 172.61/26.26 | | | | | | | (5801) all_65_41 = all_6_2
% 172.61/26.26 | | | | | | |
% 172.61/26.26 | | | | | | | COMBINE_EQS: (5793), (5794) imply:
% 172.61/26.26 | | | | | | | (5802) all_61_6 = all_18_1
% 172.61/26.26 | | | | | | |
% 172.61/26.26 | | | | | | | SIMP: (5802) implies:
% 172.61/26.26 | | | | | | | (5803) all_61_6 = all_18_1
% 172.61/26.26 | | | | | | |
% 172.61/26.26 | | | | | | | COMBINE_EQS: (5794), (5796) imply:
% 172.61/26.26 | | | | | | | (5804) all_61_9 = all_18_1
% 172.61/26.26 | | | | | | |
% 172.61/26.26 | | | | | | | SIMP: (5804) implies:
% 172.61/26.26 | | | | | | | (5805) all_61_9 = all_18_1
% 172.61/26.26 | | | | | | |
% 172.61/26.26 | | | | | | | COMBINE_EQS: (5792), (5803) imply:
% 172.61/26.26 | | | | | | | (5806) all_18_1 = all_10_1
% 172.61/26.26 | | | | | | |
% 172.61/26.26 | | | | | | | COMBINE_EQS: (5805), (5806) imply:
% 172.61/26.26 | | | | | | | (5807) all_61_9 = all_10_1
% 172.61/26.26 | | | | | | |
% 172.61/26.26 | | | | | | | COMBINE_EQS: (501), (5792) imply:
% 172.61/26.26 | | | | | | | (5808) all_63_9 = all_10_1
% 172.61/26.26 | | | | | | |
% 172.61/26.26 | | | | | | | COMBINE_EQS: (497), (5807) imply:
% 172.61/26.26 | | | | | | | (5809) all_63_6 = all_10_1
% 172.61/26.26 | | | | | | |
% 172.61/26.26 | | | | | | | REDUCE: (213), (5807) imply:
% 172.61/26.26 | | | | | | | (5810) ~ (all_61_1 = all_10_1)
% 172.61/26.26 | | | | | | |
% 172.61/26.26 | | | | | | | REDUCE: (210), (5792) imply:
% 172.61/26.26 | | | | | | | (5811) ~ (all_61_2 = all_10_1)
% 172.61/26.26 | | | | | | |
% 172.61/26.26 | | | | | | | REDUCE: (203), (5792) imply:
% 172.61/26.26 | | | | | | | (5812) ~ (all_61_4 = all_10_1)
% 172.61/26.26 | | | | | | |
% 172.61/26.26 | | | | | | | REDUCE: (195), (5792) imply:
% 172.61/26.26 | | | | | | | (5813) ~ (all_61_7 = all_10_1)
% 172.61/26.26 | | | | | | |
% 172.61/26.26 | | | | | | | SIMP: (5813) implies:
% 172.61/26.26 | | | | | | | (5814) ~ (all_61_7 = all_10_1)
% 172.61/26.26 | | | | | | |
% 172.61/26.26 | | | | | | | REDUCE: (193), (5792) imply:
% 172.61/26.26 | | | | | | | (5815) ~ (all_61_14 = all_10_1)
% 172.61/26.26 | | | | | | |
% 172.61/26.26 | | | | | | | SIMP: (5815) implies:
% 172.61/26.26 | | | | | | | (5816) ~ (all_61_14 = all_10_1)
% 172.61/26.26 | | | | | | |
% 172.61/26.26 | | | | | | | REDUCE: (190), (5807) imply:
% 172.61/26.26 | | | | | | | (5817) ~ (all_61_8 = all_10_1)
% 172.61/26.26 | | | | | | |
% 172.61/26.26 | | | | | | | REDUCE: (185), (5807) imply:
% 172.61/26.26 | | | | | | | (5818) ~ (all_61_11 = all_10_1)
% 172.61/26.26 | | | | | | |
% 172.61/26.26 | | | | | | | SIMP: (5818) implies:
% 172.61/26.26 | | | | | | | (5819) ~ (all_61_11 = all_10_1)
% 172.61/26.26 | | | | | | |
% 172.61/26.26 | | | | | | | REDUCE: (184), (5807) imply:
% 172.61/26.26 | | | | | | | (5820) ~ (all_61_13 = all_10_1)
% 172.61/26.26 | | | | | | |
% 172.61/26.26 | | | | | | | SIMP: (5820) implies:
% 172.61/26.26 | | | | | | | (5821) ~ (all_61_13 = all_10_1)
% 172.61/26.26 | | | | | | |
% 172.61/26.26 | | | | | | | REDUCE: (613), (5807) imply:
% 172.61/26.26 | | | | | | | (5822) ~ (all_10_1 = all_6_2)
% 172.61/26.26 | | | | | | |
% 172.61/26.26 | | | | | | | REDUCE: (5774), (5807) imply:
% 172.61/26.26 | | | | | | | (5823) ~ (all_10_1 = e2)
% 172.61/26.26 | | | | | | |
% 172.61/26.26 | | | | | | | REDUCE: (670), (5792) imply:
% 172.61/26.26 | | | | | | | (5824) op(all_10_1, e3) = all_65_36
% 172.61/26.26 | | | | | | |
% 172.61/26.26 | | | | | | | REDUCE: (671), (5792) imply:
% 172.61/26.26 | | | | | | | (5825) op(all_10_1, e2) = all_65_37
% 172.61/26.26 | | | | | | |
% 172.61/26.26 | | | | | | | REDUCE: (672), (5792) imply:
% 172.61/26.26 | | | | | | | (5826) op(all_10_1, e1) = all_65_38
% 172.61/26.26 | | | | | | |
% 172.61/26.26 | | | | | | | REDUCE: (673), (5792) imply:
% 172.61/26.26 | | | | | | | (5827) op(all_10_1, e0) = all_65_39
% 172.61/26.26 | | | | | | |
% 172.61/26.26 | | | | | | | REDUCE: (644), (5800) imply:
% 172.61/26.26 | | | | | | | (5828) op(all_61_8, e1) = all_61_4
% 172.61/26.26 | | | | | | |
% 172.61/26.26 | | | | | | | REDUCE: (658), (5807) imply:
% 172.61/26.26 | | | | | | | (5829) op(all_10_1, e3) = all_65_24
% 172.61/26.26 | | | | | | |
% 172.61/26.26 | | | | | | | REDUCE: (659), (5807) imply:
% 172.61/26.26 | | | | | | | (5830) op(all_10_1, e2) = all_65_25
% 172.61/26.26 | | | | | | |
% 172.61/26.26 | | | | | | | REDUCE: (660), (5797), (5807) imply:
% 172.61/26.26 | | | | | | | (5831) op(all_10_1, e1) = all_6_2
% 172.61/26.26 | | | | | | |
% 172.61/26.26 | | | | | | | REDUCE: (661), (5807) imply:
% 172.61/26.26 | | | | | | | (5832) op(all_10_1, e0) = all_65_27
% 172.61/26.26 | | | | | | |
% 172.61/26.26 | | | | | | | REDUCE: (692), (5791) imply:
% 172.61/26.26 | | | | | | | (5833) op(all_61_11, e1) = all_61_7
% 172.61/26.26 | | | | | | |
% 172.61/26.26 | | | | | | | REDUCE: (707), (5792) imply:
% 172.61/26.26 | | | | | | | (5834) op(e3, all_10_1) = all_65_9
% 172.61/26.26 | | | | | | |
% 172.61/26.26 | | | | | | | REDUCE: (704), (5807) imply:
% 172.61/26.26 | | | | | | | (5835) op(e3, all_10_1) = all_65_6
% 172.61/26.26 | | | | | | |
% 172.61/26.26 | | | | | | | REDUCE: (724), (5792) imply:
% 172.61/26.26 | | | | | | | (5836) op(e2, all_10_1) = all_65_25
% 172.61/26.26 | | | | | | |
% 172.61/26.26 | | | | | | | REDUCE: (721), (5807) imply:
% 172.61/26.26 | | | | | | | (5837) op(e2, all_10_1) = all_65_22
% 172.61/26.26 | | | | | | |
% 172.61/26.26 | | | | | | | REDUCE: (232), (5807) imply:
% 172.61/26.26 | | | | | | | (5838) op(e2, e1) = all_10_1
% 172.61/26.26 | | | | | | |
% 172.61/26.26 | | | | | | | REDUCE: (740), (5799) imply:
% 172.61/26.26 | | | | | | | (5839) op(e1, all_61_2) = all_61_1
% 172.61/26.26 | | | | | | |
% 172.61/26.26 | | | | | | | REDUCE: (743), (5795) imply:
% 172.61/26.26 | | | | | | | (5840) op(e1, all_61_14) = all_61_13
% 172.61/26.26 | | | | | | |
% 172.61/26.26 | | | | | | | REDUCE: (758), (5792) imply:
% 172.61/26.26 | | | | | | | (5841) op(e0, all_10_1) = all_65_67
% 172.61/26.26 | | | | | | |
% 172.61/26.26 | | | | | | | REDUCE: (755), (5807) imply:
% 172.61/26.26 | | | | | | | (5842) op(e0, all_10_1) = all_65_61
% 172.61/26.26 | | | | | | |
% 172.61/26.26 | | | | | | | GROUND_INST: instantiating (50) with all_65_67, all_65_61,
% 172.61/26.26 | | | | | | | all_10_1, e0, simplifying with (5841), (5842) gives:
% 172.61/26.26 | | | | | | | (5843) all_65_61 = all_65_67
% 172.61/26.26 | | | | | | |
% 172.61/26.26 | | | | | | | GROUND_INST: instantiating (50) with all_65_25, all_65_22,
% 172.61/26.26 | | | | | | | all_10_1, e2, simplifying with (5836), (5837) gives:
% 172.61/26.26 | | | | | | | (5844) all_65_22 = all_65_25
% 172.61/26.26 | | | | | | |
% 172.61/26.26 | | | | | | | GROUND_INST: instantiating (50) with all_65_9, all_65_6, all_10_1,
% 172.61/26.26 | | | | | | | e3, simplifying with (5834), (5835) gives:
% 172.61/26.26 | | | | | | | (5845) all_65_6 = all_65_9
% 172.61/26.26 | | | | | | |
% 172.61/26.26 | | | | | | | GROUND_INST: instantiating (50) with all_65_39, all_65_27, e0,
% 172.61/26.26 | | | | | | | all_10_1, simplifying with (5827), (5832) gives:
% 172.61/26.26 | | | | | | | (5846) all_65_27 = all_65_39
% 172.61/26.26 | | | | | | |
% 172.61/26.26 | | | | | | | GROUND_INST: instantiating (50) with all_6_2, all_65_38, e1,
% 172.61/26.26 | | | | | | | all_10_1, simplifying with (5826), (5831) gives:
% 172.61/26.26 | | | | | | | (5847) all_65_38 = all_6_2
% 172.61/26.26 | | | | | | |
% 172.61/26.26 | | | | | | | GROUND_INST: instantiating (50) with all_65_37, all_65_25, e2,
% 172.61/26.26 | | | | | | | all_10_1, simplifying with (5825), (5830) gives:
% 172.61/26.26 | | | | | | | (5848) all_65_25 = all_65_37
% 172.61/26.26 | | | | | | |
% 172.61/26.26 | | | | | | | GROUND_INST: instantiating (50) with all_65_36, all_65_24, e3,
% 172.61/26.26 | | | | | | | all_10_1, simplifying with (5824), (5829) gives:
% 172.61/26.26 | | | | | | | (5849) all_65_24 = all_65_36
% 172.61/26.26 | | | | | | |
% 172.61/26.26 | | | | | | | COMBINE_EQS: (5844), (5848) imply:
% 172.61/26.26 | | | | | | | (5850) all_65_22 = all_65_37
% 172.61/26.26 | | | | | | |
% 172.61/26.26 | | | | | | | REDUCE: (640), (5845) imply:
% 172.61/26.26 | | | | | | | (5851) op(all_61_4, e1) = all_65_9
% 172.61/26.26 | | | | | | |
% 172.61/26.26 | | | | | | | REDUCE: (688), (5843) imply:
% 172.61/26.26 | | | | | | | (5852) op(all_61_7, e1) = all_65_67
% 172.61/26.26 | | | | | | |
% 172.61/26.26 | | | | | | | REDUCE: (656), (5850) imply:
% 172.61/26.26 | | | | | | | (5853) op(all_6_2, e1) = all_65_37
% 172.61/26.26 | | | | | | |
% 172.61/26.26 | | | | | | | REDUCE: (726), (5846) imply:
% 172.61/26.26 | | | | | | | (5854) op(e2, all_61_14) = all_65_39
% 172.61/26.26 | | | | | | |
% 172.61/26.26 | | | | | | | REDUCE: (5836), (5848) imply:
% 172.61/26.26 | | | | | | | (5855) op(e2, all_10_1) = all_65_37
% 172.61/26.26 | | | | | | |
% 172.61/26.26 | | | | | | | BETA: splitting (65) gives:
% 172.61/26.26 | | | | | | |
% 172.61/26.26 | | | | | | | Case 1:
% 172.61/26.26 | | | | | | | |
% 172.61/26.26 | | | | | | | | (5856) ~ (all_12_2 = e1)
% 172.61/26.26 | | | | | | | |
% 172.61/26.26 | | | | | | | | REDUCE: (575), (5856) imply:
% 172.61/26.26 | | | | | | | | (5857) ~ (all_6_2 = e1)
% 172.61/26.26 | | | | | | | |
% 172.61/26.26 | | | | | | | | BETA: splitting (68) gives:
% 172.61/26.26 | | | | | | | |
% 172.61/26.26 | | | | | | | | Case 1:
% 172.61/26.26 | | | | | | | | |
% 172.61/26.26 | | | | | | | | | (5858) ~ (all_14_2 = e2)
% 172.61/26.26 | | | | | | | | |
% 172.61/26.26 | | | | | | | | | BETA: splitting (77) gives:
% 172.61/26.26 | | | | | | | | |
% 172.61/26.26 | | | | | | | | | Case 1:
% 172.61/26.26 | | | | | | | | | |
% 172.61/26.26 | | | | | | | | | | (5859) ~ (all_20_2 = e2)
% 172.61/26.26 | | | | | | | | | |
% 172.61/26.26 | | | | | | | | | | BETA: splitting (80) gives:
% 172.61/26.26 | | | | | | | | | |
% 172.61/26.26 | | | | | | | | | | Case 1:
% 172.61/26.26 | | | | | | | | | | |
% 172.61/26.26 | | | | | | | | | | | (5860) ~ (all_22_2 = e0)
% 172.61/26.26 | | | | | | | | | | |
% 172.61/26.26 | | | | | | | | | | | REDUCE: (449), (5860) imply:
% 172.61/26.26 | | | | | | | | | | | (5861) ~ (all_6_2 = e0)
% 172.61/26.26 | | | | | | | | | | |
% 172.61/26.26 | | | | | | | | | | | BETA: splitting (266) gives:
% 172.61/26.26 | | | | | | | | | | |
% 172.61/26.26 | | | | | | | | | | | Case 1:
% 172.61/26.26 | | | | | | | | | | | |
% 172.61/26.26 | | | | | | | | | | | | (5862) all_63_5 = e3
% 172.61/26.26 | | | | | | | | | | | |
% 172.61/26.26 | | | | | | | | | | | | REF_CLOSE: (587), (767), (5862) are inconsistent by sub-proof
% 172.61/26.26 | | | | | | | | | | | | #513.
% 172.61/26.26 | | | | | | | | | | | |
% 172.61/26.26 | | | | | | | | | | | Case 2:
% 172.61/26.26 | | | | | | | | | | | |
% 172.61/26.26 | | | | | | | | | | | | (5863) all_63_5 = e2 | all_63_5 = e1 | all_63_5 = e0
% 172.61/26.26 | | | | | | | | | | | |
% 172.61/26.26 | | | | | | | | | | | | BETA: splitting (5863) gives:
% 172.61/26.26 | | | | | | | | | | | |
% 172.61/26.26 | | | | | | | | | | | | Case 1:
% 172.61/26.26 | | | | | | | | | | | | |
% 172.61/26.26 | | | | | | | | | | | | | (5864) all_63_5 = e2
% 172.61/26.26 | | | | | | | | | | | | |
% 172.61/26.26 | | | | | | | | | | | | | COMBINE_EQS: (587), (5864) imply:
% 172.61/26.26 | | | | | | | | | | | | | (5865) all_6_2 = e2
% 172.61/26.26 | | | | | | | | | | | | |
% 172.61/26.26 | | | | | | | | | | | | | SIMP: (5865) implies:
% 172.61/26.26 | | | | | | | | | | | | | (5866) all_6_2 = e2
% 172.61/26.26 | | | | | | | | | | | | |
% 172.61/26.26 | | | | | | | | | | | | | REDUCE: (604), (5866) imply:
% 172.61/26.26 | | | | | | | | | | | | | (5867) ~ (all_61_1 = e2)
% 172.61/26.26 | | | | | | | | | | | | |
% 172.61/26.26 | | | | | | | | | | | | | REDUCE: (607), (5866) imply:
% 172.61/26.26 | | | | | | | | | | | | | (5868) ~ (all_61_4 = e2)
% 172.61/26.26 | | | | | | | | | | | | |
% 172.61/26.26 | | | | | | | | | | | | | REDUCE: (611), (5866) imply:
% 172.61/26.26 | | | | | | | | | | | | | (5869) ~ (all_61_7 = e2)
% 172.61/26.26 | | | | | | | | | | | | |
% 172.61/26.26 | | | | | | | | | | | | | REDUCE: (615), (5866) imply:
% 172.61/26.26 | | | | | | | | | | | | | (5870) ~ (all_61_13 = e2)
% 172.61/26.26 | | | | | | | | | | | | |
% 172.61/26.26 | | | | | | | | | | | | | REDUCE: (5831), (5866) imply:
% 172.61/26.26 | | | | | | | | | | | | | (5871) op(all_10_1, e1) = e2
% 172.61/26.26 | | | | | | | | | | | | |
% 172.61/26.26 | | | | | | | | | | | | | REDUCE: (654), (5866) imply:
% 172.61/26.26 | | | | | | | | | | | | | (5872) op(e2, e3) = all_65_20
% 172.61/26.26 | | | | | | | | | | | | |
% 172.61/26.26 | | | | | | | | | | | | | REDUCE: (5853), (5866) imply:
% 172.61/26.26 | | | | | | | | | | | | | (5873) op(e2, e1) = all_65_37
% 172.61/26.26 | | | | | | | | | | | | |
% 172.61/26.26 | | | | | | | | | | | | | REDUCE: (657), (5866) imply:
% 172.61/26.26 | | | | | | | | | | | | | (5874) op(e2, e0) = all_65_23
% 172.61/26.26 | | | | | | | | | | | | |
% 172.61/26.26 | | | | | | | | | | | | | REDUCE: (703), (5866) imply:
% 172.61/26.26 | | | | | | | | | | | | | (5875) op(e3, e2) = all_65_5
% 172.61/26.26 | | | | | | | | | | | | |
% 172.61/26.26 | | | | | | | | | | | | | REDUCE: (720), (5866) imply:
% 172.61/26.26 | | | | | | | | | | | | | (5876) op(e2, e2) = all_65_21
% 172.61/26.26 | | | | | | | | | | | | |
% 172.61/26.26 | | | | | | | | | | | | | REDUCE: (55), (5866) imply:
% 172.61/26.26 | | | | | | | | | | | | | (5877) op(e2, e2) = e2
% 172.61/26.26 | | | | | | | | | | | | |
% 172.61/26.26 | | | | | | | | | | | | | REDUCE: (754), (5866) imply:
% 172.61/26.26 | | | | | | | | | | | | | (5878) op(e0, e2) = all_65_59
% 172.61/26.26 | | | | | | | | | | | | |
% 172.61/26.26 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_7, all_65_59, e2,
% 172.61/26.26 | | | | | | | | | | | | | e0, simplifying with (225), (5878) gives:
% 172.61/26.26 | | | | | | | | | | | | | (5879) all_65_59 = all_61_7
% 172.61/26.26 | | | | | | | | | | | | |
% 172.61/26.26 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_13, all_65_23, e0,
% 172.61/26.26 | | | | | | | | | | | | | e2, simplifying with (231), (5874) gives:
% 172.61/26.26 | | | | | | | | | | | | | (5880) all_65_23 = all_61_13
% 172.61/26.26 | | | | | | | | | | | | |
% 172.61/26.26 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_10_1, all_65_37, e1,
% 172.61/26.26 | | | | | | | | | | | | | e2, simplifying with (5838), (5873) gives:
% 172.61/26.26 | | | | | | | | | | | | | (5881) all_65_37 = all_10_1
% 172.61/26.26 | | | | | | | | | | | | |
% 172.61/26.26 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e2, all_65_21, e2, e2,
% 172.61/26.26 | | | | | | | | | | | | | simplifying with (5876), (5877) gives:
% 172.61/26.26 | | | | | | | | | | | | | (5882) all_65_21 = e2
% 172.61/26.26 | | | | | | | | | | | | |
% 172.61/26.26 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_1, all_65_20, e3,
% 172.61/26.26 | | | | | | | | | | | | | e2, simplifying with (234), (5872) gives:
% 172.61/26.26 | | | | | | | | | | | | | (5883) all_65_20 = all_61_1
% 172.61/26.26 | | | | | | | | | | | | |
% 172.61/26.26 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_4, all_65_5, e2,
% 172.61/26.26 | | | | | | | | | | | | | e3, simplifying with (237), (5875) gives:
% 172.61/26.26 | | | | | | | | | | | | | (5884) all_65_5 = all_61_4
% 172.61/26.26 | | | | | | | | | | | | |
% 172.61/26.26 | | | | | | | | | | | | | REDUCE: (639), (5884) imply:
% 172.61/26.26 | | | | | | | | | | | | | (5885) op(all_61_4, e2) = all_61_4
% 172.61/26.26 | | | | | | | | | | | | |
% 172.61/26.26 | | | | | | | | | | | | | REDUCE: (687), (5879) imply:
% 172.61/26.26 | | | | | | | | | | | | | (5886) op(all_61_7, e2) = all_61_7
% 172.61/26.26 | | | | | | | | | | | | |
% 172.61/26.26 | | | | | | | | | | | | | REDUCE: (719), (5883) imply:
% 172.61/26.26 | | | | | | | | | | | | | (5887) op(e2, all_61_1) = all_61_1
% 172.61/26.26 | | | | | | | | | | | | |
% 172.61/26.26 | | | | | | | | | | | | | REDUCE: (722), (5880) imply:
% 172.61/26.26 | | | | | | | | | | | | | (5888) op(e2, all_61_13) = all_61_13
% 172.61/26.26 | | | | | | | | | | | | |
% 172.61/26.26 | | | | | | | | | | | | | BETA: splitting (89) gives:
% 172.61/26.26 | | | | | | | | | | | | |
% 172.61/26.26 | | | | | | | | | | | | | Case 1:
% 172.61/26.26 | | | | | | | | | | | | | |
% 172.61/26.26 | | | | | | | | | | | | | | (5889) ~ (all_28_2 = e3)
% 172.61/26.26 | | | | | | | | | | | | | |
% 172.61/26.26 | | | | | | | | | | | | | | REDUCE: (563), (5889) imply:
% 172.61/26.26 | | | | | | | | | | | | | | (5890) ~ (all_20_2 = e3)
% 172.61/26.26 | | | | | | | | | | | | | |
% 172.61/26.26 | | | | | | | | | | | | | | BETA: splitting (101) gives:
% 172.61/26.26 | | | | | | | | | | | | | |
% 172.61/26.26 | | | | | | | | | | | | | | Case 1:
% 172.61/26.26 | | | | | | | | | | | | | | |
% 172.61/26.26 | | | | | | | | | | | | | | | (5891) ~ (all_36_2 = e0)
% 172.61/26.26 | | | | | | | | | | | | | | |
% 172.61/26.26 | | | | | | | | | | | | | | | REDUCE: (557), (5891) imply:
% 172.61/26.26 | | | | | | | | | | | | | | | (5892) ~ (all_14_2 = e0)
% 172.61/26.26 | | | | | | | | | | | | | | |
% 172.61/26.26 | | | | | | | | | | | | | | | BETA: splitting (107) gives:
% 172.61/26.26 | | | | | | | | | | | | | | |
% 172.61/26.26 | | | | | | | | | | | | | | | Case 1:
% 172.61/26.26 | | | | | | | | | | | | | | | |
% 172.61/26.26 | | | | | | | | | | | | | | | | (5893) ~ (all_40_2 = e1)
% 172.61/26.26 | | | | | | | | | | | | | | | |
% 172.61/26.26 | | | | | | | | | | | | | | | | REDUCE: (553), (5893) imply:
% 172.61/26.26 | | | | | | | | | | | | | | | | (5894) ~ (all_14_2 = e1)
% 172.61/26.26 | | | | | | | | | | | | | | | |
% 172.61/26.26 | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (9), (10), (50), (150), (158), (163),
% 172.61/26.26 | | | | | | | | | | | | | | | | (164), (165), (168), (225), (231), (234), (237),
% 172.61/26.26 | | | | | | | | | | | | | | | | (271), (475), (478), (481), (484), (536), (588),
% 172.61/26.26 | | | | | | | | | | | | | | | | (599), (631), (635), (638), (650), (663), (714),
% 172.61/26.26 | | | | | | | | | | | | | | | | (715), (731), (765), (5838), (5858), (5870),
% 172.61/26.26 | | | | | | | | | | | | | | | | (5871), (5877), (5886), (5892), (5894) are
% 172.61/26.26 | | | | | | | | | | | | | | | | inconsistent by sub-proof #290.
% 172.61/26.26 | | | | | | | | | | | | | | | |
% 172.61/26.26 | | | | | | | | | | | | | | | Case 2:
% 172.61/26.26 | | | | | | | | | | | | | | | |
% 172.61/26.26 | | | | | | | | | | | | | | | | (5895) all_40_2 = e1
% 172.61/26.26 | | | | | | | | | | | | | | | | (5896) op(e3, e1) = all_40_1 & $i(all_40_1) & ( ~
% 172.61/26.26 | | | | | | | | | | | | | | | | (all_40_1 = e0) | ( ~ (all_40_0 = e2) & op(e0,
% 172.61/26.26 | | | | | | | | | | | | | | | | e3) = all_40_0 & $i(all_40_0)))
% 172.61/26.26 | | | | | | | | | | | | | | | |
% 172.61/26.26 | | | | | | | | | | | | | | | | ALPHA: (5896) implies:
% 172.61/26.26 | | | | | | | | | | | | | | | | (5897) op(e3, e1) = all_40_1
% 172.61/26.26 | | | | | | | | | | | | | | | | (5898) ~ (all_40_1 = e0) | ( ~ (all_40_0 = e2) & op(e0,
% 172.61/26.26 | | | | | | | | | | | | | | | | e3) = all_40_0 & $i(all_40_0))
% 172.61/26.26 | | | | | | | | | | | | | | | |
% 172.61/26.26 | | | | | | | | | | | | | | | | COMBINE_EQS: (553), (5895) imply:
% 172.61/26.26 | | | | | | | | | | | | | | | | (5899) all_14_2 = e1
% 172.61/26.26 | | | | | | | | | | | | | | | |
% 172.61/26.26 | | | | | | | | | | | | | | | | COMBINE_EQS: (466), (5899) imply:
% 172.61/26.26 | | | | | | | | | | | | | | | | (5900) all_48_2 = e1
% 172.61/26.26 | | | | | | | | | | | | | | | |
% 172.61/26.27 | | | | | | | | | | | | | | | | REDUCE: (593), (5899) imply:
% 172.61/26.27 | | | | | | | | | | | | | | | | (5901) ~ (all_61_1 = e1)
% 172.61/26.27 | | | | | | | | | | | | | | | |
% 172.61/26.27 | | | | | | | | | | | | | | | | REDUCE: (601), (5899) imply:
% 172.61/26.27 | | | | | | | | | | | | | | | | (5902) ~ (all_61_8 = e1)
% 172.61/26.27 | | | | | | | | | | | | | | | |
% 172.61/26.27 | | | | | | | | | | | | | | | | REDUCE: (603), (5899) imply:
% 172.61/26.27 | | | | | | | | | | | | | | | | (5903) ~ (all_61_12 = e1)
% 172.61/26.27 | | | | | | | | | | | | | | | |
% 172.61/26.27 | | | | | | | | | | | | | | | | REDUCE: (634), (5899) imply:
% 172.61/26.27 | | | | | | | | | | | | | | | | (5904) op(e1, e3) = all_65_0
% 172.61/26.27 | | | | | | | | | | | | | | | |
% 172.61/26.27 | | | | | | | | | | | | | | | | REDUCE: (637), (5899) imply:
% 172.61/26.27 | | | | | | | | | | | | | | | | (5905) op(e1, e0) = all_65_3
% 172.61/26.27 | | | | | | | | | | | | | | | |
% 172.61/26.27 | | | | | | | | | | | | | | | | REDUCE: (698), (5899) imply:
% 172.61/26.27 | | | | | | | | | | | | | | | | (5906) op(e3, e1) = all_65_0
% 172.61/26.27 | | | | | | | | | | | | | | | |
% 172.61/26.27 | | | | | | | | | | | | | | | | REDUCE: (67), (5899) imply:
% 172.61/26.27 | | | | | | | | | | | | | | | | (5907) op(e3, e3) = e1
% 172.61/26.27 | | | | | | | | | | | | | | | |
% 172.61/26.27 | | | | | | | | | | | | | | | | REDUCE: (715), (5899) imply:
% 172.61/26.27 | | | | | | | | | | | | | | | | (5908) op(e2, e1) = all_65_16
% 172.61/26.27 | | | | | | | | | | | | | | | |
% 172.61/26.27 | | | | | | | | | | | | | | | | REDUCE: (749), (5899) imply:
% 172.61/26.27 | | | | | | | | | | | | | | | | (5909) op(e0, e1) = all_65_49
% 172.61/26.27 | | | | | | | | | | | | | | | |
% 172.61/26.27 | | | | | | | | | | | | | | | | BETA: splitting (119) gives:
% 172.61/26.27 | | | | | | | | | | | | | | | |
% 172.61/26.27 | | | | | | | | | | | | | | | | Case 1:
% 172.61/26.27 | | | | | | | | | | | | | | | | |
% 172.61/26.27 | | | | | | | | | | | | | | | | | (5910) ~ (all_48_2 = e1)
% 172.61/26.27 | | | | | | | | | | | | | | | | |
% 172.61/26.27 | | | | | | | | | | | | | | | | | REDUCE: (5900), (5910) imply:
% 172.61/26.27 | | | | | | | | | | | | | | | | | (5911) $false
% 172.61/26.27 | | | | | | | | | | | | | | | | |
% 172.61/26.27 | | | | | | | | | | | | | | | | | CLOSE: (5911) is inconsistent.
% 172.61/26.27 | | | | | | | | | | | | | | | | |
% 172.61/26.27 | | | | | | | | | | | | | | | | Case 2:
% 172.61/26.27 | | | | | | | | | | | | | | | | |
% 172.61/26.27 | | | | | | | | | | | | | | | | | (5912) op(e3, e1) = all_48_1 & $i(all_48_1) & ( ~
% 172.61/26.27 | | | | | | | | | | | | | | | | | (all_48_1 = e2) | ( ~ (all_48_0 = e0) & op(e2,
% 172.61/26.27 | | | | | | | | | | | | | | | | | e3) = all_48_0 & $i(all_48_0)))
% 172.61/26.27 | | | | | | | | | | | | | | | | |
% 172.61/26.27 | | | | | | | | | | | | | | | | | ALPHA: (5912) implies:
% 172.61/26.27 | | | | | | | | | | | | | | | | | (5913) op(e3, e1) = all_48_1
% 172.61/26.27 | | | | | | | | | | | | | | | | |
% 172.61/26.27 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_11, all_65_49, e1,
% 172.61/26.27 | | | | | | | | | | | | | | | | | e0, simplifying with (224), (5909) gives:
% 172.61/26.27 | | | | | | | | | | | | | | | | | (5914) all_65_49 = all_61_11
% 172.61/26.27 | | | | | | | | | | | | | | | | |
% 172.61/26.27 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_14, all_65_3, e0,
% 172.61/26.27 | | | | | | | | | | | | | | | | | e1, simplifying with (227), (5905) gives:
% 172.61/26.27 | | | | | | | | | | | | | | | | | (5915) all_65_3 = all_61_14
% 172.61/26.27 | | | | | | | | | | | | | | | | |
% 172.61/26.27 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_2, all_65_0, e3,
% 172.61/26.27 | | | | | | | | | | | | | | | | | e1, simplifying with (230), (5904) gives:
% 172.61/26.27 | | | | | | | | | | | | | | | | | (5916) all_65_0 = all_61_2
% 172.61/26.27 | | | | | | | | | | | | | | | | |
% 172.61/26.27 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_10_1, all_65_16, e1,
% 172.61/26.27 | | | | | | | | | | | | | | | | | e2, simplifying with (5838), (5908) gives:
% 172.61/26.27 | | | | | | | | | | | | | | | | | (5917) all_65_16 = all_10_1
% 172.61/26.27 | | | | | | | | | | | | | | | | |
% 172.61/26.27 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_8, all_48_1, e1,
% 172.61/26.27 | | | | | | | | | | | | | | | | | e3, simplifying with (236), (5913) gives:
% 172.61/26.27 | | | | | | | | | | | | | | | | | (5918) all_61_8 = all_48_1
% 172.61/26.27 | | | | | | | | | | | | | | | | |
% 172.61/26.27 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_8, all_65_0, e1,
% 172.61/26.27 | | | | | | | | | | | | | | | | | e3, simplifying with (236), (5906) gives:
% 172.61/26.27 | | | | | | | | | | | | | | | | | (5919) all_65_0 = all_61_8
% 172.61/26.27 | | | | | | | | | | | | | | | | |
% 172.61/26.27 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_40_1, all_65_0, e1,
% 172.61/26.27 | | | | | | | | | | | | | | | | | e3, simplifying with (5897), (5906) gives:
% 172.61/26.27 | | | | | | | | | | | | | | | | | (5920) all_65_0 = all_40_1
% 172.61/26.27 | | | | | | | | | | | | | | | | |
% 172.61/26.27 | | | | | | | | | | | | | | | | | COMBINE_EQS: (5916), (5920) imply:
% 172.61/26.27 | | | | | | | | | | | | | | | | | (5921) all_61_2 = all_40_1
% 172.61/26.27 | | | | | | | | | | | | | | | | |
% 172.61/26.27 | | | | | | | | | | | | | | | | | SIMP: (5921) implies:
% 172.61/26.27 | | | | | | | | | | | | | | | | | (5922) all_61_2 = all_40_1
% 172.61/26.27 | | | | | | | | | | | | | | | | |
% 172.61/26.27 | | | | | | | | | | | | | | | | | COMBINE_EQS: (5919), (5920) imply:
% 172.61/26.27 | | | | | | | | | | | | | | | | | (5923) all_61_8 = all_40_1
% 172.61/26.27 | | | | | | | | | | | | | | | | |
% 172.61/26.27 | | | | | | | | | | | | | | | | | SIMP: (5923) implies:
% 172.61/26.27 | | | | | | | | | | | | | | | | | (5924) all_61_8 = all_40_1
% 172.61/26.27 | | | | | | | | | | | | | | | | |
% 172.61/26.27 | | | | | | | | | | | | | | | | | COMBINE_EQS: (5918), (5924) imply:
% 172.61/26.27 | | | | | | | | | | | | | | | | | (5925) all_48_1 = all_40_1
% 172.61/26.27 | | | | | | | | | | | | | | | | |
% 172.61/26.27 | | | | | | | | | | | | | | | | | COMBINE_EQS: (499), (5922) imply:
% 172.61/26.27 | | | | | | | | | | | | | | | | | (5926) all_63_8 = all_40_1
% 172.61/26.27 | | | | | | | | | | | | | | | | |
% 172.61/26.27 | | | | | | | | | | | | | | | | | REDUCE: (216), (5922) imply:
% 172.61/26.27 | | | | | | | | | | | | | | | | | (5927) ~ (all_61_1 = all_40_1)
% 172.61/26.27 | | | | | | | | | | | | | | | | |
% 172.61/26.27 | | | | | | | | | | | | | | | | | REDUCE: (208), (5922) imply:
% 172.61/26.27 | | | | | | | | | | | | | | | | | (5928) ~ (all_61_14 = all_40_1)
% 172.61/26.27 | | | | | | | | | | | | | | | | |
% 172.61/26.27 | | | | | | | | | | | | | | | | | SIMP: (5928) implies:
% 172.61/26.27 | | | | | | | | | | | | | | | | | (5929) ~ (all_61_14 = all_40_1)
% 172.61/26.27 | | | | | | | | | | | | | | | | |
% 172.61/26.27 | | | | | | | | | | | | | | | | | REDUCE: (188), (5924) imply:
% 172.61/26.27 | | | | | | | | | | | | | | | | | (5930) ~ (all_61_11 = all_40_1)
% 172.61/26.27 | | | | | | | | | | | | | | | | |
% 172.61/26.27 | | | | | | | | | | | | | | | | | SIMP: (5930) implies:
% 172.61/26.27 | | | | | | | | | | | | | | | | | (5931) ~ (all_61_11 = all_40_1)
% 172.61/26.27 | | | | | | | | | | | | | | | | |
% 172.61/26.27 | | | | | | | | | | | | | | | | | REDUCE: (187), (5924) imply:
% 172.61/26.27 | | | | | | | | | | | | | | | | | (5932) ~ (all_61_12 = all_40_1)
% 172.61/26.27 | | | | | | | | | | | | | | | | |
% 172.61/26.27 | | | | | | | | | | | | | | | | | SIMP: (5932) implies:
% 172.61/26.27 | | | | | | | | | | | | | | | | | (5933) ~ (all_61_12 = all_40_1)
% 172.61/26.27 | | | | | | | | | | | | | | | | |
% 172.61/26.27 | | | | | | | | | | | | | | | | | REDUCE: (5817), (5924) imply:
% 172.61/26.27 | | | | | | | | | | | | | | | | | (5934) ~ (all_40_1 = all_10_1)
% 172.61/26.27 | | | | | | | | | | | | | | | | |
% 172.61/26.27 | | | | | | | | | | | | | | | | | REDUCE: (5773), (5924) imply:
% 172.61/26.27 | | | | | | | | | | | | | | | | | (5935) ~ (all_40_1 = e2)
% 172.61/26.27 | | | | | | | | | | | | | | | | |
% 172.61/26.27 | | | | | | | | | | | | | | | | | REDUCE: (5902), (5924) imply:
% 172.61/26.27 | | | | | | | | | | | | | | | | | (5936) ~ (all_40_1 = e1)
% 172.61/26.27 | | | | | | | | | | | | | | | | |
% 172.61/26.27 | | | | | | | | | | | | | | | | | REDUCE: (668), (5922) imply:
% 172.61/26.27 | | | | | | | | | | | | | | | | | (5937) op(all_40_1, e1) = all_65_34
% 172.61/26.27 | | | | | | | | | | | | | | | | |
% 172.61/26.27 | | | | | | | | | | | | | | | | | REDUCE: (5828), (5924) imply:
% 172.61/26.27 | | | | | | | | | | | | | | | | | (5938) op(all_40_1, e1) = all_61_4
% 172.61/26.27 | | | | | | | | | | | | | | | | |
% 172.61/26.27 | | | | | | | | | | | | | | | | | REDUCE: (5839), (5922) imply:
% 172.61/26.27 | | | | | | | | | | | | | | | | | (5939) op(e1, all_40_1) = all_61_1
% 172.61/26.27 | | | | | | | | | | | | | | | | |
% 172.61/26.27 | | | | | | | | | | | | | | | | | REDUCE: (734), (5924) imply:
% 172.61/26.27 | | | | | | | | | | | | | | | | | (5940) op(e1, all_40_1) = all_65_34
% 172.61/26.27 | | | | | | | | | | | | | | | | |
% 172.61/26.27 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_1, all_65_34,
% 172.61/26.27 | | | | | | | | | | | | | | | | | all_40_1, e1, simplifying with (5939), (5940)
% 172.61/26.27 | | | | | | | | | | | | | | | | | gives:
% 172.61/26.27 | | | | | | | | | | | | | | | | | (5941) all_65_34 = all_61_1
% 172.61/26.27 | | | | | | | | | | | | | | | | |
% 172.61/26.27 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_4, all_65_34, e1,
% 172.61/26.27 | | | | | | | | | | | | | | | | | all_40_1, simplifying with (5937), (5938) gives:
% 172.61/26.27 | | | | | | | | | | | | | | | | | (5942) all_65_34 = all_61_4
% 172.61/26.27 | | | | | | | | | | | | | | | | |
% 172.61/26.27 | | | | | | | | | | | | | | | | | COMBINE_EQS: (5941), (5942) imply:
% 172.61/26.27 | | | | | | | | | | | | | | | | | (5943) all_61_1 = all_61_4
% 172.61/26.27 | | | | | | | | | | | | | | | | |
% 172.61/26.27 | | | | | | | | | | | | | | | | | SIMP: (5943) implies:
% 172.61/26.27 | | | | | | | | | | | | | | | | | (5944) all_61_1 = all_61_4
% 172.61/26.27 | | | | | | | | | | | | | | | | |
% 172.61/26.27 | | | | | | | | | | | | | | | | | COMBINE_EQS: (493), (5944) imply:
% 172.61/26.27 | | | | | | | | | | | | | | | | | (5945) all_63_4 = all_61_4
% 172.61/26.27 | | | | | | | | | | | | | | | | |
% 172.61/26.27 | | | | | | | | | | | | | | | | | REDUCE: (215), (5944) imply:
% 172.61/26.27 | | | | | | | | | | | | | | | | | (5946) ~ (all_61_3 = all_61_4)
% 172.61/26.27 | | | | | | | | | | | | | | | | |
% 172.61/26.27 | | | | | | | | | | | | | | | | | SIMP: (5946) implies:
% 172.61/26.27 | | | | | | | | | | | | | | | | | (5947) ~ (all_61_3 = all_61_4)
% 172.61/26.27 | | | | | | | | | | | | | | | | |
% 172.61/26.27 | | | | | | | | | | | | | | | | | REDUCE: (212), (5944) imply:
% 172.61/26.27 | | | | | | | | | | | | | | | | | (5948) ~ (all_61_4 = all_61_13)
% 172.61/26.27 | | | | | | | | | | | | | | | | |
% 172.61/26.27 | | | | | | | | | | | | | | | | | REDUCE: (5927), (5944) imply:
% 172.61/26.27 | | | | | | | | | | | | | | | | | (5949) ~ (all_61_4 = all_40_1)
% 172.61/26.27 | | | | | | | | | | | | | | | | |
% 172.61/26.27 | | | | | | | | | | | | | | | | | REDUCE: (5901), (5944) imply:
% 172.61/26.27 | | | | | | | | | | | | | | | | | (5950) ~ (all_61_4 = e1)
% 172.61/26.27 | | | | | | | | | | | | | | | | |
% 172.61/26.27 | | | | | | | | | | | | | | | | | REDUCE: (651), (5944) imply:
% 172.61/26.27 | | | | | | | | | | | | | | | | | (5951) op(all_61_4, e2) = all_65_17
% 172.61/26.27 | | | | | | | | | | | | | | | | |
% 172.61/26.27 | | | | | | | | | | | | | | | | | REDUCE: (753), (5944) imply:
% 172.61/26.27 | | | | | | | | | | | | | | | | | (5952) op(e0, all_61_4) = all_65_57
% 172.61/26.27 | | | | | | | | | | | | | | | | |
% 172.61/26.27 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_51, all_65_57,
% 172.61/26.27 | | | | | | | | | | | | | | | | | all_61_4, e0, simplifying with (750), (5952)
% 172.61/26.27 | | | | | | | | | | | | | | | | | gives:
% 172.61/26.27 | | | | | | | | | | | | | | | | | (5953) all_65_51 = all_65_57
% 172.61/26.27 | | | | | | | | | | | | | | | | |
% 172.61/26.27 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_4, all_65_17, e2,
% 172.61/26.27 | | | | | | | | | | | | | | | | | all_61_4, simplifying with (5885), (5951) gives:
% 172.61/26.27 | | | | | | | | | | | | | | | | | (5954) all_65_17 = all_61_4
% 172.61/26.27 | | | | | | | | | | | | | | | | |
% 172.61/26.27 | | | | | | | | | | | | | | | | | REDUCE: (683), (5953) imply:
% 172.61/26.27 | | | | | | | | | | | | | | | | | (5955) op(all_61_3, e2) = all_65_57
% 172.61/26.27 | | | | | | | | | | | | | | | | |
% 172.61/26.27 | | | | | | | | | | | | | | | | | REDUCE: (716), (5954) imply:
% 172.61/26.27 | | | | | | | | | | | | | | | | | (5956) op(e2, all_61_4) = all_61_4
% 172.61/26.27 | | | | | | | | | | | | | | | | |
% 172.61/26.27 | | | | | | | | | | | | | | | | | BETA: splitting (110) gives:
% 172.61/26.27 | | | | | | | | | | | | | | | | |
% 172.61/26.27 | | | | | | | | | | | | | | | | | Case 1:
% 172.61/26.27 | | | | | | | | | | | | | | | | | |
% 172.61/26.27 | | | | | | | | | | | | | | | | | | (5957) ~ (all_42_2 = e1)
% 172.61/26.27 | | | | | | | | | | | | | | | | | |
% 172.61/26.27 | | | | | | | | | | | | | | | | | | REDUCE: (532), (5957) imply:
% 172.61/26.27 | | | | | | | | | | | | | | | | | | (5958) ~ (all_20_2 = e1)
% 172.61/26.27 | | | | | | | | | | | | | | | | | |
% 172.61/26.27 | | | | | | | | | | | | | | | | | | BETA: splitting (256) gives:
% 172.61/26.27 | | | | | | | | | | | | | | | | | |
% 172.61/26.27 | | | | | | | | | | | | | | | | | | Case 1:
% 172.61/26.27 | | | | | | | | | | | | | | | | | | |
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | (5959) all_63_15 = e3
% 172.61/26.27 | | | | | | | | | | | | | | | | | | |
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (422), (5890), (5959) are inconsistent by
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | sub-proof #501.
% 172.61/26.27 | | | | | | | | | | | | | | | | | | |
% 172.61/26.27 | | | | | | | | | | | | | | | | | | Case 2:
% 172.61/26.27 | | | | | | | | | | | | | | | | | | |
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | (5960) all_63_15 = e2 | all_63_15 = e1 | all_63_15 = e0
% 172.61/26.27 | | | | | | | | | | | | | | | | | | |
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | BETA: splitting (5960) gives:
% 172.61/26.27 | | | | | | | | | | | | | | | | | | |
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | Case 1:
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | |
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | (5961) all_63_15 = e2
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | |
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (422), (5859), (5961) are inconsistent by
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | sub-proof #500.
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | |
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | Case 2:
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | |
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | (5962) all_63_15 = e1 | all_63_15 = e0
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | |
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | BETA: splitting (5962) gives:
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | |
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | (5963) all_63_15 = e1
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (422), (5958), (5963) are inconsistent by
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | sub-proof #499.
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | (5964) all_63_15 = e0
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (422), (5964) imply:
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | (5965) all_20_2 = e0
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | SIMP: (5965) implies:
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | (5966) all_20_2 = e0
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | REDUCE: (624), (5966) imply:
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | (5967) ~ (all_61_11 = e0)
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | REDUCE: (625), (5966) imply:
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | (5968) ~ (all_61_12 = e0)
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | REDUCE: (626), (5966) imply:
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | (5969) ~ (all_61_13 = e0)
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | REDUCE: (627), (5966) imply:
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | (5970) ~ (all_61_14 = e0)
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | REDUCE: (694), (5966) imply:
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | (5971) op(e0, e3) = all_65_73
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | REDUCE: (695), (5966) imply:
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | (5972) op(e0, e2) = all_65_75
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | REDUCE: (713), (5966) imply:
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | (5973) op(e3, e0) = all_65_15
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | REDUCE: (730), (5966) imply:
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | (5974) op(e2, e0) = all_65_31
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | REDUCE: (747), (5966) imply:
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | (5975) op(e1, e0) = all_65_47
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | REDUCE: (764), (5966) imply:
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | (5976) op(e0, e0) = all_65_78
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | REDUCE: (76), (5966) imply:
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | (5977) op(e0, e0) = e0
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e0, all_65_78, e0, e0,
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | simplifying with (5976), (5977) gives:
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | (5978) all_65_78 = e0
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_7, all_65_75, e2,
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | e0, simplifying with (225), (5972) gives:
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | (5979) all_65_75 = all_61_7
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_3, all_65_73, e3,
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | e0, simplifying with (226), (5971) gives:
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | (5980) all_65_73 = all_61_3
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_14, all_65_47, e0,
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | e1, simplifying with (227), (5975) gives:
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | (5981) all_65_47 = all_61_14
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_13, all_65_31, e0,
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | e2, simplifying with (231), (5974) gives:
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | (5982) all_65_31 = all_61_13
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_12, all_65_15, e0,
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | e3, simplifying with (235), (5973) gives:
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | (5983) all_65_15 = all_61_12
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (157) gives:
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | | (5984) ~ (all_58_3 = e1)
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (475), (5984) imply:
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | | (5985) ~ (all_52_3 = e1)
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (158) gives:
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | | | (5986) ~ (all_58_3 = e2)
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (475), (5986) imply:
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | | | (5987) ~ (all_52_3 = e2)
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (50), (148), (159), (200), (206), (226),
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | | | (231), (235), (257), (263), (265), (268), (270),
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | | | (475), (484), (488), (491), (510), (539), (714),
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | | | (765), (851), (5809), (5812), (5819), (5823),
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | | | (5870), (5898), (5903), (5926), (5931), (5933),
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | | | (5934), (5936), (5949), (5950), (5952), (5955),
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | | | (5967), (5968), (5977), (5985), (5987) are
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #285.
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | | | (5988) all_58_3 = e2
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | | | (5989) all_58_1 = e0
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (50), (225), (231), (475), (481), (663),
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | | | (731), (765), (5870), (5886), (5988), (5989) are
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #456.
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | | (5990) all_58_2 = e0
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (478), (5990) imply:
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | | (5991) all_52_2 = e0
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | | SIMP: (5991) implies:
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | | (5992) all_52_2 = e0
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (748), (5992) imply:
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | | (5993) op(e1, e0) = unit
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_14, unit, e0, e1,
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | | simplifying with (227), (5993) gives:
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | | (5994) all_61_14 = unit
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (177), (5994) imply:
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | | (5995) ~ (all_61_13 = unit)
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5816), (5994) imply:
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | | (5996) ~ (all_10_1 = unit)
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | | SIMP: (5996) implies:
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | | (5997) ~ (all_10_1 = unit)
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5776), (5994) imply:
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | | (5998) ~ (unit = e2)
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5970), (5994) imply:
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | | (5999) ~ (unit = e0)
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (852) gives:
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | | | (6000) unit = e2
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5998), (6000) imply:
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | | | (6001) $false
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6001) is inconsistent.
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | | | (6002) unit = e1 | unit = e0
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6002) gives:
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | | | | (6003) unit = e1
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5995), (6003) imply:
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | | | | (6004) ~ (all_61_13 = e1)
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5997), (6003) imply:
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | | | | (6005) ~ (all_10_1 = e1)
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (264) gives:
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | (6006) all_63_7 = e3
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (498), (6006) imply:
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | (6007) all_61_13 = e3
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5948), (6007) imply:
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | (6008) ~ (all_61_4 = e3)
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5821), (6007) imply:
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | (6009) ~ (all_10_1 = e3)
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6009) implies:
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | (6010) ~ (all_10_1 = e3)
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (267) gives:
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | (6011) all_63_4 = e3
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5945), (6011) imply:
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | (6012) all_61_4 = e3
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6008), (6012) imply:
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | (6013) $false
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6013) is inconsistent.
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | (6014) all_63_4 = e2 | all_63_4 = e1 | all_63_4 = e0
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6014) gives:
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6015) all_63_4 = e2
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5945), (6015) imply:
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6016) all_61_4 = e2
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5868), (6016) imply:
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6017) $false
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6017) is inconsistent.
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6018) all_63_4 = e1 | all_63_4 = e0
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6018) gives:
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6019) all_63_4 = e1
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5945), (6019) imply:
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6020) all_61_4 = e1
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5950), (6020) imply:
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6021) $false
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6021) is inconsistent.
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6022) all_63_4 = e0
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5945), (6022) imply:
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6023) all_61_4 = e0
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5812), (6023) imply:
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6024) ~ (all_10_1 = e0)
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6024) implies:
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6025) ~ (all_10_1 = e0)
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (265), (5809), (5823), (6005), (6010), (6025) are
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #287.
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | (6026) all_63_7 = e2 | all_63_7 = e1 | all_63_7 = e0
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (498), (5870), (5969), (6004), (6026) are
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #474.
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | | | | (6027) ~ (unit = e1)
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5999), (6002), (6027) are inconsistent by
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #419.
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | | End of split
% 172.61/26.27 | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | End of split
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | |
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | End of split
% 172.61/26.28 | | | | | | | | | | | | | | | | | | |
% 172.61/26.28 | | | | | | | | | | | | | | | | | | End of split
% 172.61/26.28 | | | | | | | | | | | | | | | | | |
% 172.61/26.28 | | | | | | | | | | | | | | | | | Case 2:
% 172.61/26.28 | | | | | | | | | | | | | | | | | |
% 172.61/26.28 | | | | | | | | | | | | | | | | | | (6028) all_42_2 = e1
% 172.61/26.28 | | | | | | | | | | | | | | | | | | (6029) op(e0, e1) = all_42_1 & $i(all_42_1) & ( ~
% 172.61/26.28 | | | | | | | | | | | | | | | | | | (all_42_1 = e3) | ( ~ (all_42_0 = e2) & op(e3,
% 172.61/26.28 | | | | | | | | | | | | | | | | | | e0) = all_42_0 & $i(all_42_0)))
% 172.61/26.28 | | | | | | | | | | | | | | | | | |
% 172.61/26.28 | | | | | | | | | | | | | | | | | | ALPHA: (6029) implies:
% 172.61/26.28 | | | | | | | | | | | | | | | | | | (6030) op(e0, e1) = all_42_1
% 172.61/26.28 | | | | | | | | | | | | | | | | | |
% 172.61/26.28 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (532), (6028) imply:
% 172.61/26.28 | | | | | | | | | | | | | | | | | | (6031) all_20_2 = e1
% 172.61/26.28 | | | | | | | | | | | | | | | | | |
% 172.61/26.28 | | | | | | | | | | | | | | | | | | SIMP: (6031) implies:
% 172.61/26.28 | | | | | | | | | | | | | | | | | | (6032) all_20_2 = e1
% 172.61/26.28 | | | | | | | | | | | | | | | | | |
% 172.61/26.28 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (582), (6032) imply:
% 172.61/26.28 | | | | | | | | | | | | | | | | | | (6033) all_50_2 = e1
% 172.61/26.28 | | | | | | | | | | | | | | | | | |
% 172.61/26.28 | | | | | | | | | | | | | | | | | | REDUCE: (606), (6032) imply:
% 172.61/26.28 | | | | | | | | | | | | | | | | | | (6034) ~ (all_61_3 = e1)
% 172.61/26.28 | | | | | | | | | | | | | | | | | |
% 172.61/26.28 | | | | | | | | | | | | | | | | | | REDUCE: (617), (6032) imply:
% 172.61/26.28 | | | | | | | | | | | | | | | | | | (6035) ~ (all_61_7 = e1)
% 172.61/26.28 | | | | | | | | | | | | | | | | | |
% 172.61/26.28 | | | | | | | | | | | | | | | | | | REDUCE: (697), (6032) imply:
% 172.61/26.28 | | | | | | | | | | | | | | | | | | (6036) op(e1, e0) = all_65_78
% 172.61/26.28 | | | | | | | | | | | | | | | | | |
% 172.61/26.28 | | | | | | | | | | | | | | | | | | REDUCE: (713), (6032) imply:
% 172.61/26.28 | | | | | | | | | | | | | | | | | | (6037) op(e3, e1) = all_65_15
% 172.61/26.28 | | | | | | | | | | | | | | | | | |
% 172.61/26.28 | | | | | | | | | | | | | | | | | | REDUCE: (730), (6032) imply:
% 172.61/26.28 | | | | | | | | | | | | | | | | | | (6038) op(e2, e1) = all_65_31
% 172.61/26.28 | | | | | | | | | | | | | | | | | |
% 172.61/26.28 | | | | | | | | | | | | | | | | | | REDUCE: (764), (6032) imply:
% 172.61/26.28 | | | | | | | | | | | | | | | | | | (6039) op(e0, e1) = all_65_78
% 172.61/26.28 | | | | | | | | | | | | | | | | | |
% 172.61/26.28 | | | | | | | | | | | | | | | | | | REDUCE: (76), (6032) imply:
% 172.61/26.28 | | | | | | | | | | | | | | | | | | (6040) op(e0, e0) = e1
% 172.61/26.28 | | | | | | | | | | | | | | | | | |
% 172.61/26.28 | | | | | | | | | | | | | | | | | | BETA: splitting (122) gives:
% 172.61/26.28 | | | | | | | | | | | | | | | | | |
% 172.61/26.28 | | | | | | | | | | | | | | | | | | Case 1:
% 172.61/26.28 | | | | | | | | | | | | | | | | | | |
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | (6041) ~ (all_50_2 = e1)
% 172.61/26.28 | | | | | | | | | | | | | | | | | | |
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | REDUCE: (6033), (6041) imply:
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | (6042) $false
% 172.61/26.28 | | | | | | | | | | | | | | | | | | |
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | CLOSE: (6042) is inconsistent.
% 172.61/26.28 | | | | | | | | | | | | | | | | | | |
% 172.61/26.28 | | | | | | | | | | | | | | | | | | Case 2:
% 172.61/26.28 | | | | | | | | | | | | | | | | | | |
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | (6043) op(e0, e1) = all_50_1 & $i(all_50_1) & ( ~
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | (all_50_1 = e2) | ( ~ (all_50_0 = e3) & op(e2,
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | e0) = all_50_0 & $i(all_50_0)))
% 172.61/26.28 | | | | | | | | | | | | | | | | | | |
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | ALPHA: (6043) implies:
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | (6044) op(e0, e1) = all_50_1
% 172.61/26.28 | | | | | | | | | | | | | | | | | | |
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_11, all_65_78, e1,
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | e0, simplifying with (224), (6039) gives:
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | (6045) all_65_78 = all_61_11
% 172.61/26.28 | | | | | | | | | | | | | | | | | | |
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_50_1, all_65_78, e1,
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | e0, simplifying with (6039), (6044) gives:
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | (6046) all_65_78 = all_50_1
% 172.61/26.28 | | | | | | | | | | | | | | | | | | |
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_42_1, all_65_78, e1,
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | e0, simplifying with (6030), (6039) gives:
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | (6047) all_65_78 = all_42_1
% 172.61/26.28 | | | | | | | | | | | | | | | | | | |
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_14, all_65_78, e0,
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | e1, simplifying with (227), (6036) gives:
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | (6048) all_65_78 = all_61_14
% 172.61/26.28 | | | | | | | | | | | | | | | | | | |
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_10_1, all_65_31, e1,
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | e2, simplifying with (5838), (6038) gives:
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | (6049) all_65_31 = all_10_1
% 172.61/26.28 | | | | | | | | | | | | | | | | | | |
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_40_1, all_65_15, e1,
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | e3, simplifying with (5897), (6037) gives:
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | (6050) all_65_15 = all_40_1
% 172.61/26.28 | | | | | | | | | | | | | | | | | | |
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6045), (6048) imply:
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | (6051) all_61_11 = all_61_14
% 172.61/26.28 | | | | | | | | | | | | | | | | | | |
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6045), (6046) imply:
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | (6052) all_61_11 = all_50_1
% 172.61/26.28 | | | | | | | | | | | | | | | | | | |
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6045), (6047) imply:
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | (6053) all_61_11 = all_42_1
% 172.61/26.28 | | | | | | | | | | | | | | | | | | |
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6051), (6052) imply:
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | (6054) all_61_14 = all_50_1
% 172.61/26.28 | | | | | | | | | | | | | | | | | | |
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | SIMP: (6054) implies:
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | (6055) all_61_14 = all_50_1
% 172.61/26.28 | | | | | | | | | | | | | | | | | | |
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6052), (6053) imply:
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | (6056) all_50_1 = all_42_1
% 172.61/26.28 | | | | | | | | | | | | | | | | | | |
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6055), (6056) imply:
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | (6057) all_61_14 = all_42_1
% 172.61/26.28 | | | | | | | | | | | | | | | | | | |
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (510), (6053) imply:
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | (6058) all_63_14 = all_42_1
% 172.61/26.28 | | | | | | | | | | | | | | | | | | |
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | REDUCE: (5929), (6057) imply:
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | (6059) ~ (all_42_1 = all_40_1)
% 172.61/26.28 | | | | | | | | | | | | | | | | | | |
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | REDUCE: (5816), (6057) imply:
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | (6060) ~ (all_42_1 = all_10_1)
% 172.61/26.28 | | | | | | | | | | | | | | | | | | |
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | REDUCE: (5776), (6057) imply:
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | (6061) ~ (all_42_1 = e2)
% 172.61/26.28 | | | | | | | | | | | | | | | | | | |
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | REDUCE: (5833), (6053) imply:
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | (6062) op(all_42_1, e1) = all_61_7
% 172.61/26.28 | | | | | | | | | | | | | | | | | | |
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | REDUCE: (649), (6050) imply:
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | (6063) op(all_61_12, e0) = all_40_1
% 172.61/26.28 | | | | | | | | | | | | | | | | | | |
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | REDUCE: (680), (6057) imply:
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | (6064) op(all_42_1, e1) = all_65_46
% 172.61/26.28 | | | | | | | | | | | | | | | | | | |
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | REDUCE: (729), (6053) imply:
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | (6065) op(e2, all_42_1) = all_65_30
% 172.61/26.28 | | | | | | | | | | | | | | | | | | |
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | REDUCE: (5854), (6057) imply:
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | (6066) op(e2, all_42_1) = all_65_39
% 172.61/26.28 | | | | | | | | | | | | | | | | | | |
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | REDUCE: (746), (6053) imply:
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | (6067) op(e1, all_42_1) = all_65_46
% 172.61/26.28 | | | | | | | | | | | | | | | | | | |
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | REDUCE: (5840), (6057) imply:
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | (6068) op(e1, all_42_1) = all_61_13
% 172.61/26.28 | | | | | | | | | | | | | | | | | | |
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_13, all_65_46,
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | all_42_1, e1, simplifying with (6067), (6068)
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | gives:
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | (6069) all_65_46 = all_61_13
% 172.61/26.28 | | | | | | | | | | | | | | | | | | |
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_39, all_65_30,
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | all_42_1, e2, simplifying with (6065), (6066)
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | gives:
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | (6070) all_65_30 = all_65_39
% 172.61/26.28 | | | | | | | | | | | | | | | | | | |
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_7, all_65_46, e1,
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | all_42_1, simplifying with (6062), (6064) gives:
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | (6071) all_65_46 = all_61_7
% 172.61/26.28 | | | | | | | | | | | | | | | | | | |
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6069), (6071) imply:
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | (6072) all_61_7 = all_61_13
% 172.61/26.28 | | | | | | | | | | | | | | | | | | |
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | REDUCE: (207), (6072) imply:
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | (6073) ~ (all_61_3 = all_61_13)
% 172.61/26.28 | | | | | | | | | | | | | | | | | | |
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | REDUCE: (6035), (6072) imply:
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | (6074) ~ (all_61_13 = e1)
% 172.61/26.28 | | | | | | | | | | | | | | | | | | |
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | REDUCE: (686), (6072) imply:
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | (6075) op(all_61_13, e3) = all_65_57
% 172.61/26.28 | | | | | | | | | | | | | | | | | | |
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | REDUCE: (5852), (6072) imply:
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | (6076) op(all_61_13, e1) = all_65_67
% 172.61/26.28 | | | | | | | | | | | | | | | | | | |
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | REDUCE: (664), (6070) imply:
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | (6077) op(all_61_13, e1) = all_65_39
% 172.61/26.28 | | | | | | | | | | | | | | | | | | |
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_67, all_65_39, e1,
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | all_61_13, simplifying with (6076), (6077) gives:
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | (6078) all_65_39 = all_65_67
% 172.61/26.28 | | | | | | | | | | | | | | | | | | |
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_28, all_65_57, e3,
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | all_61_13, simplifying with (662), (6075) gives:
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | (6079) all_65_28 = all_65_57
% 172.61/26.28 | | | | | | | | | | | | | | | | | | |
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | REDUCE: (5827), (6078) imply:
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | (6080) op(all_10_1, e0) = all_65_67
% 172.61/26.28 | | | | | | | | | | | | | | | | | | |
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | REDUCE: (727), (6079) imply:
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | (6081) op(e2, all_61_3) = all_65_57
% 172.61/26.28 | | | | | | | | | | | | | | | | | | |
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | REDUCE: (6066), (6078) imply:
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | (6082) op(e2, all_42_1) = all_65_67
% 172.61/26.28 | | | | | | | | | | | | | | | | | | |
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | BETA: splitting (161) gives:
% 172.61/26.28 | | | | | | | | | | | | | | | | | | |
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | Case 1:
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | |
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | (6083) ~ (all_58_2 = e2)
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | |
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | REDUCE: (478), (6083) imply:
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | (6084) ~ (all_52_2 = e2)
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | |
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | BETA: splitting (164) gives:
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | |
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | (6085) ~ (all_58_1 = e1)
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | REDUCE: (481), (6085) imply:
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | (6086) ~ (all_52_1 = e1)
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (165) gives:
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | (6087) ~ (all_58_1 = e3)
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (481), (6087) imply:
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | (6088) ~ (all_52_1 = e3)
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (157) gives:
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | | (6089) ~ (all_58_3 = e1)
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (475), (6089) imply:
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | | (6090) ~ (all_52_3 = e1)
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (166) gives:
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | | | (6091) ~ (all_58_0 = e0)
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (484), (6091) imply:
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | | | (6092) ~ (all_52_0 = e0)
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (159) gives:
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | (6093) ~ (all_58_3 = e3)
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (475), (6093) imply:
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | (6094) ~ (all_52_3 = e3)
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (50), (148), (150), (158), (163), (225),
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | (231), (475), (481), (536), (539), (632), (663),
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | (731), (765), (5870), (5877), (5886), (6040),
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | (6086), (6088), (6090), (6094) are inconsistent by
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #284.
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | (6095) all_58_0 = e0
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (484), (6092), (6095) are inconsistent by
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #283.
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | | | (6096) all_58_3 = e3
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | | | (6097) all_58_0 = e0
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (484), (6097) imply:
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | | | (6098) all_52_0 = e0
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (475), (6096) imply:
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | | | (6099) all_52_3 = e3
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6099) implies:
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | | | (6100) all_52_3 = e3
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (628), (6098) imply:
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | | | (6101) ~ (all_52_1 = e0)
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6101) implies:
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | | | (6102) ~ (all_52_1 = e0)
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (714), (6098) imply:
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | | | (6103) op(e3, e0) = unit
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (765), (6100) imply:
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | | | (6104) op(e0, e3) = unit
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (150) gives:
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | (6105) all_56_1 = e3
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (536), (6105) imply:
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | (6106) all_52_1 = e3
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6088), (6106) imply:
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | (6107) $false
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6107) is inconsistent.
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | (6108) all_56_1 = e2 | all_56_1 = e1 | all_56_1 = e0
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6108) gives:
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | (6109) all_56_1 = e2
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (536), (6109) imply:
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | (6110) all_52_1 = e2
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (731), (6110) imply:
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | (6111) op(e2, e2) = unit
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_3, unit, e3, e0,
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (226), (6104) gives:
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | (6112) all_61_3 = unit
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e2, unit, e2, e2,
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (5877), (6111) gives:
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | (6113) unit = e2
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_12, unit, e0, e3,
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (235), (6103) gives:
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | (6114) all_61_12 = unit
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6113), (6114) imply:
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | (6115) all_61_12 = e2
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6112), (6113) imply:
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | (6116) all_61_3 = e2
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6081), (6116) imply:
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | (6117) op(e2, e2) = all_65_57
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5898) gives:
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6118) ~ (all_40_1 = e0)
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (50), (235), (6063), (6103), (6118) are
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #282.
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6119) all_40_1 = e0
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6120) ~ (all_40_0 = e2) & op(e0, e3) = all_40_0 &
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_40_0)
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6120) implies:
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6121) ~ (all_40_0 = e2)
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6122) op(e0, e3) = all_40_0
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5949), (6119) imply:
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6123) ~ (all_61_4 = e0)
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (50), (270), (488), (5868), (5877), (5950),
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5952), (6117), (6121), (6122), (6123) are
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #286.
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | (6124) all_56_1 = e1 | all_56_1 = e0
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (536), (6086), (6102), (6124) are inconsistent by
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #454.
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | | (6125) all_58_3 = e1
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | | (6126) all_58_2 = e0
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (478), (6126) imply:
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | | (6127) all_52_2 = e0
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6127) implies:
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | | (6128) all_52_2 = e0
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (475), (6125) imply:
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | | (6129) all_52_3 = e1
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (629), (6128) imply:
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | | (6130) ~ (all_52_0 = e0)
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (630), (6129) imply:
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | | (6131) ~ (all_52_0 = e1)
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (631), (6128) imply:
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | | (6132) ~ (all_52_1 = e0)
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (50), (150), (151), (534), (536), (628), (714),
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | | (731), (5877), (5907), (6086), (6088), (6130),
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | | (6131), (6132) are inconsistent by sub-proof #281.
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | (6133) all_58_0 = e2
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (484), (6133) imply:
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | (6134) all_52_0 = e2
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | SIMP: (6134) implies:
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | (6135) all_52_0 = e2
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (714), (6135) imply:
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | (6136) op(e3, e2) = unit
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_4, unit, e2, e3,
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | simplifying with (237), (6136) gives:
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | (6137) all_61_4 = unit
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5947), (6137) imply:
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | (6138) ~ (all_61_3 = unit)
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5948), (6137) imply:
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | (6139) ~ (all_61_13 = unit)
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | SIMP: (6139) implies:
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | (6140) ~ (all_61_13 = unit)
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5949), (6137) imply:
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | (6141) ~ (all_40_1 = unit)
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | SIMP: (6141) implies:
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | (6142) ~ (all_40_1 = unit)
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5812), (6137) imply:
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | (6143) ~ (all_10_1 = unit)
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | SIMP: (6143) implies:
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | (6144) ~ (all_10_1 = unit)
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5868), (6137) imply:
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | (6145) ~ (unit = e2)
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5950), (6137) imply:
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | (6146) ~ (unit = e1)
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5956), (6137) imply:
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | (6147) op(e2, unit) = unit
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (852) gives:
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | | (6148) unit = e2
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6145), (6148) imply:
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | | (6149) $false
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6149) is inconsistent.
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | | (6150) unit = e1 | unit = e0
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6150) gives:
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | | | (6151) unit = e1
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6146), (6151) imply:
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | | | (6152) $false
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6152) is inconsistent.
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | | | (6153) unit = e0
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6138), (6153) imply:
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | | | (6154) ~ (all_61_3 = e0)
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6140), (6153) imply:
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | | | (6155) ~ (all_61_13 = e0)
% 172.61/26.28 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6142), (6153) imply:
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | (6156) ~ (all_40_1 = e0)
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6144), (6153) imply:
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | (6157) ~ (all_10_1 = e0)
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6147), (6153) imply:
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | (6158) op(e2, e0) = e0
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5), (6153) imply:
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | (6159) op(e2, e0) = e2
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4), (6153) imply:
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | (6160) op(e1, e0) = e1
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (263) gives:
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | (6161) all_63_8 = e3
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5926), (6161) imply:
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | (6162) all_40_1 = e3
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6162) implies:
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | (6163) all_40_1 = e3
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6059), (6163) imply:
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | (6164) ~ (all_42_1 = e3)
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5897), (6163) imply:
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | (6165) op(e3, e1) = e3
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (257) gives:
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | (6166) all_63_14 = e3
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6058), (6166) imply:
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | (6167) all_42_1 = e3
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6164), (6167) imply:
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | (6168) $false
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6168) is inconsistent.
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | (6169) all_63_14 = e2 | all_63_14 = e1 | all_63_14 = e0
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6169) gives:
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6170) all_63_14 = e2
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6058), (6170) imply:
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6171) all_42_1 = e2
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6061), (6171) imply:
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6172) $false
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6172) is inconsistent.
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6173) all_63_14 = e1 | all_63_14 = e0
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (264) gives:
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6174) all_63_7 = e3
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (498), (6174) imply:
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6175) all_61_13 = e3
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6073), (6175) imply:
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6176) ~ (all_61_3 = e3)
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5821), (6175) imply:
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6177) ~ (all_10_1 = e3)
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6177) implies:
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6178) ~ (all_10_1 = e3)
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6076), (6175) imply:
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6179) op(e3, e1) = all_65_67
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (259) gives:
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6180) all_63_12 = e3
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (506), (6180) imply:
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6181) all_61_3 = e3
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6176), (6181) imply:
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6182) $false
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6182) is inconsistent.
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6183) all_63_12 = e2 | all_63_12 = e1 | all_63_12 = e0
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6183) gives:
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6184) all_63_12 = e2
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (506), (6184) imply:
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6185) all_61_3 = e2
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (6185) imply:
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6186) op(e2, e0) = all_65_55
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (262) gives:
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6187) all_63_9 = e3
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5808), (6187) imply:
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6188) all_10_1 = e3
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6178), (6188) imply:
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6189) $false
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6189) is inconsistent.
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6190) all_63_9 = e2 | all_63_9 = e1 | all_63_9 = e0
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6190) gives:
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6191) all_63_9 = e2
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5808), (6191) imply:
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6192) all_10_1 = e2
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5823), (6192) imply:
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6193) $false
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6193) is inconsistent.
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6194) all_63_9 = e1 | all_63_9 = e0
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6194) gives:
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6195) all_63_9 = e1
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5808), (6195) imply:
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6196) all_10_1 = e1
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6060), (6196) imply:
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6197) ~ (all_42_1 = e1)
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6080), (6196) imply:
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6198) op(e1, e0) = all_65_67
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6173) gives:
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6199) all_63_14 = e1
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6058), (6199) imply:
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6200) all_42_1 = e1
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6197), (6200) imply:
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6201) $false
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6201) is inconsistent.
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6202) all_63_14 = e0
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6058), (6202) imply:
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6203) all_42_1 = e0
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6197), (6203) imply:
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6204) ~ (e1 = e0)
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6082), (6203) imply:
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6205) op(e2, e0) = all_65_67
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e1, all_65_67, e0, e1,
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (6160), (6198) gives:
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6206) all_65_67 = e1
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e2, all_65_67, e0, e2,
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (6159), (6205) gives:
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6207) all_65_67 = e2
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_67, all_65_55, e0,
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, simplifying with (6186), (6205) gives:
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6208) all_65_55 = all_65_67
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e0, all_65_55, e0, e2,
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (6158), (6186) gives:
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6209) all_65_55 = e0
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e3, all_65_67, e1, e3,
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (6165), (6179) gives:
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6210) all_65_67 = e3
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6208), (6209) imply:
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6211) all_65_67 = e0
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6211) implies:
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6212) all_65_67 = e0
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6206), (6210) imply:
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6213) e3 = e1
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6207), (6210) imply:
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6214) e3 = e2
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6210), (6212) imply:
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6215) e3 = e0
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6213), (6214) imply:
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6216) e2 = e1
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6214), (6215) imply:
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6217) e2 = e0
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (6216), (6217) are inconsistent by sub-proof
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #403.
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6218) all_63_9 = e0
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5808), (6218) imply:
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6219) all_10_1 = e0
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6157), (6219) imply:
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6220) $false
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6220) is inconsistent.
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6221) all_63_12 = e1 | all_63_12 = e0
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (506), (6034), (6154), (6221) are inconsistent by
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #420.
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6222) all_63_7 = e2 | all_63_7 = e1 | all_63_7 = e0
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (498), (5870), (6074), (6155), (6222) are
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #474.
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | (6223) all_63_8 = e2 | all_63_8 = e1 | all_63_8 = e0
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5926), (5935), (5936), (6156), (6223) are
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #487.
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | End of split
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | (6224) all_58_2 = e2
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (478), (6084), (6224) are inconsistent by
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | | sub-proof #433.
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | End of split
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | |
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | Case 2:
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | |
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | (6225) all_58_2 = e2
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | (6226) all_58_1 = e1
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | |
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (50), (478), (481), (631), (731), (5838),
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | (5871), (6225), (6226) are inconsistent by
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | | sub-proof #291.
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | |
% 172.61/26.29 | | | | | | | | | | | | | | | | | | | End of split
% 172.61/26.29 | | | | | | | | | | | | | | | | | | |
% 172.61/26.29 | | | | | | | | | | | | | | | | | | End of split
% 172.61/26.29 | | | | | | | | | | | | | | | | | |
% 172.61/26.29 | | | | | | | | | | | | | | | | | End of split
% 172.61/26.29 | | | | | | | | | | | | | | | | |
% 172.61/26.29 | | | | | | | | | | | | | | | | End of split
% 172.61/26.29 | | | | | | | | | | | | | | | |
% 172.61/26.29 | | | | | | | | | | | | | | | End of split
% 172.61/26.29 | | | | | | | | | | | | | | |
% 172.61/26.29 | | | | | | | | | | | | | | Case 2:
% 172.61/26.29 | | | | | | | | | | | | | | |
% 172.61/26.29 | | | | | | | | | | | | | | | (6227) all_36_2 = e0
% 172.61/26.29 | | | | | | | | | | | | | | | (6228) op(e3, e0) = all_36_1 & $i(all_36_1) & ( ~
% 172.61/26.29 | | | | | | | | | | | | | | | (all_36_1 = e2) | ( ~ (all_36_0 = e1) & op(e2,
% 172.61/26.29 | | | | | | | | | | | | | | | e3) = all_36_0 & $i(all_36_0)))
% 172.61/26.29 | | | | | | | | | | | | | | |
% 172.61/26.29 | | | | | | | | | | | | | | | ALPHA: (6228) implies:
% 172.61/26.29 | | | | | | | | | | | | | | | (6229) op(e3, e0) = all_36_1
% 172.61/26.29 | | | | | | | | | | | | | | | (6230) ~ (all_36_1 = e2) | ( ~ (all_36_0 = e1) & op(e2,
% 172.61/26.29 | | | | | | | | | | | | | | | e3) = all_36_0 & $i(all_36_0))
% 172.61/26.29 | | | | | | | | | | | | | | |
% 172.61/26.29 | | | | | | | | | | | | | | | COMBINE_EQS: (557), (6227) imply:
% 172.61/26.29 | | | | | | | | | | | | | | | (6231) all_14_2 = e0
% 172.61/26.29 | | | | | | | | | | | | | | |
% 172.61/26.29 | | | | | | | | | | | | | | | SIMP: (6231) implies:
% 172.61/26.29 | | | | | | | | | | | | | | | (6232) all_14_2 = e0
% 172.61/26.29 | | | | | | | | | | | | | | |
% 172.61/26.29 | | | | | | | | | | | | | | | COMBINE_EQS: (549), (6232) imply:
% 172.61/26.29 | | | | | | | | | | | | | | | (6233) all_44_2 = e0
% 172.61/26.29 | | | | | | | | | | | | | | |
% 172.61/26.29 | | | | | | | | | | | | | | | REDUCE: (593), (6232) imply:
% 172.61/26.29 | | | | | | | | | | | | | | | (6234) ~ (all_61_1 = e0)
% 172.61/26.29 | | | | | | | | | | | | | | |
% 172.61/26.29 | | | | | | | | | | | | | | | REDUCE: (595), (6232) imply:
% 172.61/26.29 | | | | | | | | | | | | | | | (6235) ~ (all_61_2 = e0)
% 172.61/26.29 | | | | | | | | | | | | | | |
% 172.61/26.29 | | | | | | | | | | | | | | | REDUCE: (599), (6232) imply:
% 172.61/26.29 | | | | | | | | | | | | | | | (6236) ~ (all_61_4 = e0)
% 172.61/26.29 | | | | | | | | | | | | | | |
% 172.61/26.29 | | | | | | | | | | | | | | | REDUCE: (601), (6232) imply:
% 172.61/26.29 | | | | | | | | | | | | | | | (6237) ~ (all_61_8 = e0)
% 172.61/26.29 | | | | | | | | | | | | | | |
% 172.61/26.29 | | | | | | | | | | | | | | | REDUCE: (634), (6232) imply:
% 172.61/26.29 | | | | | | | | | | | | | | | (6238) op(e0, e3) = all_65_0
% 172.61/26.29 | | | | | | | | | | | | | | |
% 172.61/26.29 | | | | | | | | | | | | | | | REDUCE: (635), (6232) imply:
% 172.61/26.29 | | | | | | | | | | | | | | | (6239) op(e0, e2) = all_65_1
% 172.61/26.29 | | | | | | | | | | | | | | |
% 172.61/26.29 | | | | | | | | | | | | | | | REDUCE: (636), (6232) imply:
% 172.61/26.29 | | | | | | | | | | | | | | | (6240) op(e0, e1) = all_65_2
% 172.61/26.29 | | | | | | | | | | | | | | |
% 172.61/26.29 | | | | | | | | | | | | | | | REDUCE: (637), (6232) imply:
% 172.61/26.29 | | | | | | | | | | | | | | | (6241) op(e0, e0) = all_65_3
% 172.61/26.29 | | | | | | | | | | | | | | |
% 172.61/26.29 | | | | | | | | | | | | | | | REDUCE: (698), (6232) imply:
% 172.61/26.29 | | | | | | | | | | | | | | | (6242) op(e3, e0) = all_65_0
% 172.61/26.29 | | | | | | | | | | | | | | |
% 172.61/26.29 | | | | | | | | | | | | | | | REDUCE: (67), (6232) imply:
% 172.61/26.29 | | | | | | | | | | | | | | | (6243) op(e3, e3) = e0
% 172.61/26.29 | | | | | | | | | | | | | | |
% 172.61/26.29 | | | | | | | | | | | | | | | REDUCE: (715), (6232) imply:
% 172.61/26.29 | | | | | | | | | | | | | | | (6244) op(e2, e0) = all_65_16
% 172.61/26.29 | | | | | | | | | | | | | | |
% 172.61/26.29 | | | | | | | | | | | | | | | REDUCE: (732), (6232) imply:
% 172.61/26.29 | | | | | | | | | | | | | | | (6245) op(e1, e0) = all_65_32
% 172.61/26.29 | | | | | | | | | | | | | | |
% 172.61/26.29 | | | | | | | | | | | | | | | REDUCE: (749), (6232) imply:
% 172.61/26.29 | | | | | | | | | | | | | | | (6246) op(e0, e0) = all_65_49
% 172.61/26.29 | | | | | | | | | | | | | | |
% 172.61/26.29 | | | | | | | | | | | | | | | BETA: splitting (113) gives:
% 172.61/26.29 | | | | | | | | | | | | | | |
% 172.61/26.29 | | | | | | | | | | | | | | | Case 1:
% 172.61/26.29 | | | | | | | | | | | | | | | |
% 172.61/26.29 | | | | | | | | | | | | | | | | (6247) ~ (all_44_2 = e0)
% 172.61/26.29 | | | | | | | | | | | | | | | |
% 172.61/26.29 | | | | | | | | | | | | | | | | REDUCE: (6233), (6247) imply:
% 172.61/26.29 | | | | | | | | | | | | | | | | (6248) $false
% 172.61/26.29 | | | | | | | | | | | | | | | |
% 172.61/26.29 | | | | | | | | | | | | | | | | CLOSE: (6248) is inconsistent.
% 172.61/26.29 | | | | | | | | | | | | | | | |
% 172.61/26.29 | | | | | | | | | | | | | | | Case 2:
% 172.61/26.29 | | | | | | | | | | | | | | | |
% 172.61/26.29 | | | | | | | | | | | | | | | | (6249) op(e3, e0) = all_44_1 & $i(all_44_1) & ( ~
% 172.61/26.29 | | | | | | | | | | | | | | | | (all_44_1 = e1) | ( ~ (all_44_0 = e2) & op(e1,
% 172.61/26.29 | | | | | | | | | | | | | | | | e3) = all_44_0 & $i(all_44_0)))
% 172.61/26.29 | | | | | | | | | | | | | | | |
% 172.61/26.29 | | | | | | | | | | | | | | | | ALPHA: (6249) implies:
% 172.61/26.29 | | | | | | | | | | | | | | | | (6250) op(e3, e0) = all_44_1
% 172.61/26.29 | | | | | | | | | | | | | | | |
% 172.61/26.29 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_20_2, all_65_3, e0,
% 172.61/26.29 | | | | | | | | | | | | | | | | e0, simplifying with (76), (6241) gives:
% 172.61/26.29 | | | | | | | | | | | | | | | | (6251) all_65_3 = all_20_2
% 172.61/26.29 | | | | | | | | | | | | | | | |
% 172.61/26.29 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_49, all_65_3, e0,
% 172.61/26.29 | | | | | | | | | | | | | | | | e0, simplifying with (6241), (6246) gives:
% 172.61/26.29 | | | | | | | | | | | | | | | | (6252) all_65_3 = all_65_49
% 172.61/26.29 | | | | | | | | | | | | | | | |
% 172.61/26.29 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_11, all_65_2, e1,
% 172.61/26.29 | | | | | | | | | | | | | | | | e0, simplifying with (224), (6240) gives:
% 172.61/26.29 | | | | | | | | | | | | | | | | (6253) all_65_2 = all_61_11
% 172.61/26.29 | | | | | | | | | | | | | | | |
% 172.61/26.29 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_7, all_65_1, e2,
% 172.61/26.29 | | | | | | | | | | | | | | | | e0, simplifying with (225), (6239) gives:
% 172.61/26.29 | | | | | | | | | | | | | | | | (6254) all_65_1 = all_61_7
% 172.61/26.29 | | | | | | | | | | | | | | | |
% 172.61/26.29 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_3, all_65_0, e3,
% 172.61/26.29 | | | | | | | | | | | | | | | | e0, simplifying with (226), (6238) gives:
% 172.61/26.29 | | | | | | | | | | | | | | | | (6255) all_65_0 = all_61_3
% 172.61/26.29 | | | | | | | | | | | | | | | |
% 172.61/26.29 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_14, all_65_32, e0,
% 172.61/26.29 | | | | | | | | | | | | | | | | e1, simplifying with (227), (6245) gives:
% 172.61/26.29 | | | | | | | | | | | | | | | | (6256) all_65_32 = all_61_14
% 172.61/26.29 | | | | | | | | | | | | | | | |
% 172.61/26.29 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_13, all_65_16, e0,
% 172.61/26.29 | | | | | | | | | | | | | | | | e2, simplifying with (231), (6244) gives:
% 172.61/26.29 | | | | | | | | | | | | | | | | (6257) all_65_16 = all_61_13
% 172.61/26.29 | | | | | | | | | | | | | | | |
% 172.61/26.29 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_12, all_44_1, e0,
% 172.61/26.29 | | | | | | | | | | | | | | | | e3, simplifying with (235), (6250) gives:
% 172.61/26.29 | | | | | | | | | | | | | | | | (6258) all_61_12 = all_44_1
% 172.61/26.29 | | | | | | | | | | | | | | | |
% 172.61/26.29 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_12, all_65_0, e0,
% 172.61/26.29 | | | | | | | | | | | | | | | | e3, simplifying with (235), (6242) gives:
% 172.61/26.29 | | | | | | | | | | | | | | | | (6259) all_65_0 = all_61_12
% 172.61/26.29 | | | | | | | | | | | | | | | |
% 172.61/26.29 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_36_1, all_65_0, e0,
% 172.61/26.29 | | | | | | | | | | | | | | | | e3, simplifying with (6229), (6242) gives:
% 172.61/26.29 | | | | | | | | | | | | | | | | (6260) all_65_0 = all_36_1
% 172.61/26.29 | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | COMBINE_EQS: (6259), (6260) imply:
% 172.61/26.30 | | | | | | | | | | | | | | | | (6261) all_61_12 = all_36_1
% 172.61/26.30 | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | SIMP: (6261) implies:
% 172.61/26.30 | | | | | | | | | | | | | | | | (6262) all_61_12 = all_36_1
% 172.61/26.30 | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | COMBINE_EQS: (6255), (6260) imply:
% 172.61/26.30 | | | | | | | | | | | | | | | | (6263) all_61_3 = all_36_1
% 172.61/26.30 | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | SIMP: (6263) implies:
% 172.61/26.30 | | | | | | | | | | | | | | | | (6264) all_61_3 = all_36_1
% 172.61/26.30 | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | COMBINE_EQS: (6251), (6252) imply:
% 172.61/26.30 | | | | | | | | | | | | | | | | (6265) all_65_49 = all_20_2
% 172.61/26.30 | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | COMBINE_EQS: (6258), (6262) imply:
% 172.61/26.30 | | | | | | | | | | | | | | | | (6266) all_44_1 = all_36_1
% 172.61/26.30 | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | COMBINE_EQS: (506), (6264) imply:
% 172.61/26.30 | | | | | | | | | | | | | | | | (6267) all_63_12 = all_36_1
% 172.61/26.30 | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | COMBINE_EQS: (491), (6262) imply:
% 172.61/26.30 | | | | | | | | | | | | | | | | (6268) all_63_3 = all_36_1
% 172.61/26.30 | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | REDUCE: (211), (6264) imply:
% 172.61/26.30 | | | | | | | | | | | | | | | | (6269) ~ (all_61_2 = all_36_1)
% 172.61/26.30 | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | REDUCE: (207), (6264) imply:
% 172.61/26.30 | | | | | | | | | | | | | | | | (6270) ~ (all_61_7 = all_36_1)
% 172.61/26.30 | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | SIMP: (6270) implies:
% 172.61/26.30 | | | | | | | | | | | | | | | | (6271) ~ (all_61_7 = all_36_1)
% 172.61/26.30 | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | REDUCE: (200), (6262) imply:
% 172.61/26.30 | | | | | | | | | | | | | | | | (6272) ~ (all_61_4 = all_36_1)
% 172.61/26.30 | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | REDUCE: (187), (6262) imply:
% 172.61/26.30 | | | | | | | | | | | | | | | | (6273) ~ (all_61_8 = all_36_1)
% 172.61/26.30 | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | REDUCE: (180), (6262) imply:
% 172.61/26.30 | | | | | | | | | | | | | | | | (6274) ~ (all_61_13 = all_36_1)
% 172.61/26.30 | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | SIMP: (6274) implies:
% 172.61/26.30 | | | | | | | | | | | | | | | | (6275) ~ (all_61_13 = all_36_1)
% 172.61/26.30 | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | REDUCE: (179), (6262) imply:
% 172.61/26.30 | | | | | | | | | | | | | | | | (6276) ~ (all_61_14 = all_36_1)
% 172.61/26.30 | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | SIMP: (6276) implies:
% 172.61/26.30 | | | | | | | | | | | | | | | | (6277) ~ (all_61_14 = all_36_1)
% 172.61/26.30 | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | REDUCE: (625), (6262) imply:
% 172.61/26.30 | | | | | | | | | | | | | | | | (6278) ~ (all_36_1 = all_20_2)
% 172.61/26.30 | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | REDUCE: (682), (6264), (6265) imply:
% 172.61/26.30 | | | | | | | | | | | | | | | | (6279) op(all_36_1, e3) = all_20_2
% 172.61/26.30 | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | REDUCE: (685), (6264) imply:
% 172.61/26.30 | | | | | | | | | | | | | | | | (6280) op(all_36_1, e0) = all_65_55
% 172.61/26.30 | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | REDUCE: (646), (6262) imply:
% 172.61/26.30 | | | | | | | | | | | | | | | | (6281) op(all_36_1, e3) = all_65_12
% 172.61/26.30 | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | REDUCE: (649), (6262) imply:
% 172.61/26.30 | | | | | | | | | | | | | | | | (6282) op(all_36_1, e0) = all_65_15
% 172.61/26.30 | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | REDUCE: (761), (6264) imply:
% 172.61/26.30 | | | | | | | | | | | | | | | | (6283) op(e0, all_36_1) = all_65_73
% 172.61/26.30 | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | REDUCE: (752), (6262) imply:
% 172.61/26.30 | | | | | | | | | | | | | | | | (6284) op(e0, all_36_1) = all_65_55
% 172.61/26.30 | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_73, all_65_55,
% 172.61/26.30 | | | | | | | | | | | | | | | | all_36_1, e0, simplifying with (6283), (6284)
% 172.61/26.30 | | | | | | | | | | | | | | | | gives:
% 172.61/26.30 | | | | | | | | | | | | | | | | (6285) all_65_55 = all_65_73
% 172.61/26.30 | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_55, all_65_15, e0,
% 172.61/26.30 | | | | | | | | | | | | | | | | all_36_1, simplifying with (6280), (6282) gives:
% 172.61/26.30 | | | | | | | | | | | | | | | | (6286) all_65_15 = all_65_55
% 172.61/26.30 | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_20_2, all_65_12, e3,
% 172.61/26.30 | | | | | | | | | | | | | | | | all_36_1, simplifying with (6279), (6281) gives:
% 172.61/26.30 | | | | | | | | | | | | | | | | (6287) all_65_12 = all_20_2
% 172.61/26.30 | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | COMBINE_EQS: (6285), (6286) imply:
% 172.61/26.30 | | | | | | | | | | | | | | | | (6288) all_65_15 = all_65_73
% 172.61/26.30 | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | REDUCE: (713), (6288) imply:
% 172.61/26.30 | | | | | | | | | | | | | | | | (6289) op(e3, all_20_2) = all_65_73
% 172.61/26.30 | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | BETA: splitting (110) gives:
% 172.61/26.30 | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | Case 1:
% 172.61/26.30 | | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | | (6290) ~ (all_42_2 = e1)
% 172.61/26.30 | | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | | REDUCE: (532), (6290) imply:
% 172.61/26.30 | | | | | | | | | | | | | | | | | (6291) ~ (all_20_2 = e1)
% 172.61/26.30 | | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | | BETA: splitting (256) gives:
% 172.61/26.30 | | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | | Case 1:
% 172.61/26.30 | | | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | | | (6292) all_63_15 = e3
% 172.61/26.30 | | | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | | | REF_CLOSE: (422), (5890), (6292) are inconsistent by
% 172.61/26.30 | | | | | | | | | | | | | | | | | | sub-proof #501.
% 172.61/26.30 | | | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | | Case 2:
% 172.61/26.30 | | | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | | | (6293) all_63_15 = e2 | all_63_15 = e1 | all_63_15 = e0
% 172.61/26.30 | | | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | | | BETA: splitting (6293) gives:
% 172.61/26.30 | | | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | | | Case 1:
% 172.61/26.30 | | | | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | (6294) all_63_15 = e2
% 172.61/26.30 | | | | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (422), (5859), (6294) are inconsistent by
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | sub-proof #500.
% 172.61/26.30 | | | | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | | | Case 2:
% 172.61/26.30 | | | | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | (6295) all_63_15 = e1 | all_63_15 = e0
% 172.61/26.30 | | | | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | BETA: splitting (6295) gives:
% 172.61/26.30 | | | | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | Case 1:
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | (6296) all_63_15 = e1
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (422), (6291), (6296) are inconsistent by
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | sub-proof #499.
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | Case 2:
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | (6297) all_63_15 = e0
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (422), (6297) imply:
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | (6298) all_20_2 = e0
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | SIMP: (6298) implies:
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | (6299) all_20_2 = e0
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | REDUCE: (617), (6299) imply:
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | (6300) ~ (all_61_7 = e0)
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | REDUCE: (626), (6299) imply:
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | (6301) ~ (all_61_13 = e0)
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | REDUCE: (627), (6299) imply:
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | (6302) ~ (all_61_14 = e0)
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | REDUCE: (6278), (6299) imply:
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | (6303) ~ (all_36_1 = e0)
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | REDUCE: (6279), (6299) imply:
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | (6304) op(all_36_1, e3) = e0
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | REDUCE: (6289), (6299) imply:
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | (6305) op(e3, e0) = all_65_73
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | REDUCE: (730), (6299) imply:
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | (6306) op(e2, e0) = all_65_31
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_13, all_65_31, e0,
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | e2, simplifying with (231), (6306) gives:
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | (6307) all_65_31 = all_61_13
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_36_1, all_65_73, e0,
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | e3, simplifying with (6229), (6305) gives:
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | (6308) all_65_73 = all_36_1
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | BETA: splitting (165) gives:
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | (6309) ~ (all_58_1 = e3)
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | REDUCE: (481), (6309) imply:
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | (6310) ~ (all_52_1 = e3)
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (168) gives:
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | (6311) ~ (all_58_0 = e2)
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (484), (6311) imply:
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | (6312) ~ (all_52_0 = e2)
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (167) gives:
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | (6313) ~ (all_58_0 = e1)
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (484), (6313) imply:
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | (6314) ~ (all_52_0 = e1)
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (10), (50), (151), (159), (166), (231),
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | (475), (484), (534), (630), (714), (5870), (6229),
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | (6243), (6304), (6312), (6314) are inconsistent by
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #465.
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | (6315) all_58_2 = e3
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | (6316) all_58_0 = e1
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (484), (6316) imply:
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | (6317) all_52_0 = e1
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6317) implies:
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | (6318) all_52_0 = e1
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (478), (6315) imply:
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | (6319) all_52_2 = e3
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (714), (6318) imply:
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | (6320) op(e3, e1) = unit
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (748), (6319) imply:
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | (6321) op(e1, e3) = unit
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_2, unit, e3, e1,
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (230), (6321) gives:
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | (6322) all_61_2 = unit
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_8, unit, e1, e3,
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (236), (6320) gives:
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | (6323) all_61_8 = unit
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (489), (6323) imply:
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | (6324) all_63_2 = unit
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (208), (6322) imply:
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | (6325) ~ (all_61_14 = unit)
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6325) implies:
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | (6326) ~ (all_61_14 = unit)
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (201), (6323) imply:
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | (6327) ~ (all_61_4 = unit)
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5773), (6323) imply:
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | (6328) ~ (unit = e2)
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6237), (6323) imply:
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | (6329) ~ (unit = e0)
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (269) gives:
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | | (6330) all_63_2 = e3
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6324), (6330) imply:
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | | (6331) unit = e3
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (851), (6331) imply:
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | | (6332) $false
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6332) is inconsistent.
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | | (6333) all_63_2 = e2 | all_63_2 = e1 | all_63_2 = e0
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6333) gives:
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | (6334) all_63_2 = e2
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6324), (6334) imply:
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | (6335) unit = e2
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6328), (6335) imply:
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | (6336) $false
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6336) is inconsistent.
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | (6337) all_63_2 = e1 | all_63_2 = e0
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6337) gives:
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | (6338) all_63_2 = e1
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6324), (6338) imply:
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | (6339) unit = e1
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6327), (6339) imply:
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | (6340) ~ (all_61_4 = e1)
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6326), (6339) imply:
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | (6341) ~ (all_61_14 = e1)
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (260) gives:
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6342) all_63_11 = e3
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (505), (6342) imply:
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6343) all_61_14 = e3
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (177), (6343) imply:
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6344) ~ (all_61_13 = e3)
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6277), (6343) imply:
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6345) ~ (all_36_1 = e3)
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6345) implies:
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6346) ~ (all_36_1 = e3)
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (264) gives:
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6347) all_63_7 = e3
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (498), (6344), (6347) are inconsistent by
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #280.
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6348) all_63_7 = e2 | all_63_7 = e1 | all_63_7 = e0
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (259) gives:
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6349) all_63_12 = e3
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6267), (6346), (6349) are inconsistent by
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #279.
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6350) all_63_12 = e2 | all_63_12 = e1 | all_63_12 = e0
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6350) gives:
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6351) all_63_12 = e2
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6267), (6351) imply:
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6352) all_36_1 = e2
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6352) implies:
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6353) all_36_1 = e2
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (270) gives:
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6354) all_63_1 = e3
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (488), (6354) imply:
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6355) all_61_4 = e3
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (237), (6355) imply:
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6356) op(e3, e2) = e3
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6348) gives:
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6357) all_63_7 = e2
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (498), (5870), (6357) are inconsistent by
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #278.
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6358) all_63_7 = e1 | all_63_7 = e0
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6358) gives:
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6359) all_63_7 = e1
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (498), (6359) imply:
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6360) all_61_13 = e1
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6360) implies:
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6361) all_61_13 = e1
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5888), (6361) imply:
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6362) op(e2, e1) = e1
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (50), (201), (237), (269), (489), (5773), (5817),
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5838), (6230), (6237), (6353), (6356), (6362) are
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #277.
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6363) all_63_7 = e0
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (498), (6301), (6363) are inconsistent by
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #276.
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6364) all_63_1 = e2 | all_63_1 = e1 | all_63_1 = e0
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (488), (5868), (6236), (6340), (6364) are
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #485.
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6365) all_63_12 = e1 | all_63_12 = e0
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (489), (6237), (6267), (6273), (6303), (6337),
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6365) are inconsistent by sub-proof #275.
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6366) all_63_11 = e2 | all_63_11 = e1 | all_63_11 = e0
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (505), (5776), (6302), (6341), (6366) are
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #521.
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | (6367) all_63_2 = e0
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6324), (6367) imply:
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | (6368) unit = e0
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6329), (6368) imply:
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | (6369) $false
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6369) is inconsistent.
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | (6370) all_58_1 = e3
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (481), (6310), (6370) are inconsistent by
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | sub-proof #511.
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | End of split
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | (6371) all_58_1 = e3
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | (6372) all_58_0 = e2
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (484), (6372) imply:
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | (6373) all_52_0 = e2
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | SIMP: (6373) implies:
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | (6374) all_52_0 = e2
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (481), (6371) imply:
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | (6375) all_52_1 = e3
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | SIMP: (6375) implies:
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | (6376) all_52_1 = e3
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | REDUCE: (714), (6374) imply:
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | (6377) op(e3, e2) = unit
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | REDUCE: (731), (6376) imply:
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | (6378) op(e2, e3) = unit
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_1, unit, e3, e2,
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | simplifying with (234), (6378) gives:
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | (6379) all_61_1 = unit
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_4, unit, e2, e3,
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | simplifying with (237), (6377) gives:
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | (6380) all_61_4 = unit
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (493), (6379) imply:
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | (6381) all_63_4 = unit
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | REDUCE: (216), (6379) imply:
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | (6382) ~ (all_61_2 = unit)
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | SIMP: (6382) implies:
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | (6383) ~ (all_61_2 = unit)
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | REDUCE: (202), (6380) imply:
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | (6384) ~ (all_61_7 = unit)
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | SIMP: (6384) implies:
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | (6385) ~ (all_61_7 = unit)
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | REDUCE: (6272), (6380) imply:
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | (6386) ~ (all_36_1 = unit)
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | SIMP: (6386) implies:
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | (6387) ~ (all_36_1 = unit)
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | REDUCE: (5868), (6380) imply:
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | (6388) ~ (unit = e2)
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | REDUCE: (6236), (6380) imply:
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | (6389) ~ (unit = e0)
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | REDUCE: (5887), (6379) imply:
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | (6390) op(e2, unit) = unit
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (267) gives:
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | (6391) all_63_4 = e3
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6381), (6391) imply:
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | (6392) unit = e3
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (851), (6392) imply:
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | (6393) $false
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6393) is inconsistent.
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | (6394) all_63_4 = e2 | all_63_4 = e1 | all_63_4 = e0
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6394) gives:
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | (6395) all_63_4 = e2
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6381), (6395) imply:
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | (6396) unit = e2
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6388), (6396) imply:
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | (6397) $false
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6397) is inconsistent.
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | (6398) all_63_4 = e1 | all_63_4 = e0
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6398) gives:
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.61/26.30 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.31 | | | | | | | | | | | | | | | | | | | | | | | | (6399) all_63_4 = e1
% 172.61/26.31 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.31 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6381), (6399) imply:
% 172.61/26.31 | | | | | | | | | | | | | | | | | | | | | | | | (6400) unit = e1
% 172.61/26.31 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.31 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6383), (6400) imply:
% 172.61/26.31 | | | | | | | | | | | | | | | | | | | | | | | | (6401) ~ (all_61_2 = e1)
% 172.61/26.31 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.31 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6385), (6400) imply:
% 172.61/26.31 | | | | | | | | | | | | | | | | | | | | | | | | (6402) ~ (all_61_7 = e1)
% 172.61/26.31 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.31 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6387), (6400) imply:
% 172.61/26.31 | | | | | | | | | | | | | | | | | | | | | | | | (6403) ~ (all_36_1 = e1)
% 172.61/26.31 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.31 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6390), (6400) imply:
% 172.61/26.31 | | | | | | | | | | | | | | | | | | | | | | | | (6404) op(e2, e1) = e1
% 172.61/26.31 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.31 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (263) gives:
% 172.61/26.31 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.31 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.61/26.31 | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | (6405) all_63_8 = e3
% 172.61/26.31 | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (499), (6405) imply:
% 172.61/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | (6406) all_61_2 = e3
% 172.61/26.31 | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6269), (6406) imply:
% 172.61/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | (6407) ~ (all_36_1 = e3)
% 172.61/26.31 | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6407) implies:
% 172.61/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | (6408) ~ (all_36_1 = e3)
% 172.61/26.31 | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (268) gives:
% 172.61/26.31 | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.61/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | (6409) all_63_3 = e3
% 172.61/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6268), (6409) imply:
% 172.61/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | (6410) all_36_1 = e3
% 172.61/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6408), (6410) imply:
% 172.61/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | (6411) $false
% 172.61/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6411) is inconsistent.
% 172.61/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.61/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | (6412) all_63_3 = e2 | all_63_3 = e1 | all_63_3 = e0
% 172.61/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6412) gives:
% 172.61/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.61/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6413) all_63_3 = e2
% 172.61/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6268), (6413) imply:
% 172.61/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6414) all_36_1 = e2
% 172.61/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (258) gives:
% 172.61/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.61/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6415) all_63_13 = e3
% 172.61/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (508), (6415) imply:
% 172.61/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6416) all_61_7 = e3
% 172.61/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6416) implies:
% 172.61/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6417) all_61_7 = e3
% 172.61/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5886), (6417) imply:
% 172.61/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6418) op(e3, e2) = e3
% 172.61/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (50), (201), (237), (269), (489), (5773), (5817),
% 172.61/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5838), (6230), (6237), (6404), (6414), (6418) are
% 172.61/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #277.
% 172.61/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.61/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6419) all_63_13 = e2 | all_63_13 = e1 | all_63_13 = e0
% 172.61/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (508), (5869), (6300), (6402), (6419) are
% 172.61/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #444.
% 172.61/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.61/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.61/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6420) all_63_3 = e1 | all_63_3 = e0
% 172.61/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6268), (6303), (6403), (6420) are inconsistent by
% 172.61/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #448.
% 172.61/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.61/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.61/26.31 | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.31 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.61/26.31 | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | (6421) all_63_8 = e2 | all_63_8 = e1 | all_63_8 = e0
% 172.61/26.31 | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (499), (5772), (6235), (6401), (6421) are
% 172.61/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #386.
% 172.61/26.31 | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.31 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.61/26.31 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.31 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.61/26.31 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.31 | | | | | | | | | | | | | | | | | | | | | | | | (6422) all_63_4 = e0
% 172.61/26.31 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.31 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6381), (6422) imply:
% 172.61/26.31 | | | | | | | | | | | | | | | | | | | | | | | | (6423) unit = e0
% 172.61/26.31 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.31 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6389), (6423) imply:
% 172.61/26.31 | | | | | | | | | | | | | | | | | | | | | | | | (6424) $false
% 172.61/26.31 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.31 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6424) is inconsistent.
% 172.61/26.31 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.31 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.61/26.31 | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.31 | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.61/26.31 | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.31 | | | | | | | | | | | | | | | | | | | | | End of split
% 172.61/26.31 | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.31 | | | | | | | | | | | | | | | | | | | | End of split
% 172.61/26.31 | | | | | | | | | | | | | | | | | | | |
% 172.61/26.33 | | | | | | | | | | | | | | | | | | | End of split
% 172.61/26.33 | | | | | | | | | | | | | | | | | | |
% 172.61/26.33 | | | | | | | | | | | | | | | | | | End of split
% 172.61/26.33 | | | | | | | | | | | | | | | | | |
% 172.61/26.33 | | | | | | | | | | | | | | | | | End of split
% 172.61/26.33 | | | | | | | | | | | | | | | | |
% 172.61/26.33 | | | | | | | | | | | | | | | | Case 2:
% 172.61/26.33 | | | | | | | | | | | | | | | | |
% 172.61/26.33 | | | | | | | | | | | | | | | | | (6425) all_42_2 = e1
% 172.61/26.33 | | | | | | | | | | | | | | | | | (6426) op(e0, e1) = all_42_1 & $i(all_42_1) & ( ~
% 172.61/26.33 | | | | | | | | | | | | | | | | | (all_42_1 = e3) | ( ~ (all_42_0 = e2) & op(e3,
% 172.61/26.33 | | | | | | | | | | | | | | | | | e0) = all_42_0 & $i(all_42_0)))
% 172.61/26.33 | | | | | | | | | | | | | | | | |
% 172.61/26.33 | | | | | | | | | | | | | | | | | ALPHA: (6426) implies:
% 172.61/26.33 | | | | | | | | | | | | | | | | | (6427) op(e0, e1) = all_42_1
% 172.61/26.33 | | | | | | | | | | | | | | | | |
% 172.61/26.33 | | | | | | | | | | | | | | | | | COMBINE_EQS: (532), (6425) imply:
% 172.61/26.33 | | | | | | | | | | | | | | | | | (6428) all_20_2 = e1
% 172.61/26.33 | | | | | | | | | | | | | | | | |
% 172.61/26.33 | | | | | | | | | | | | | | | | | SIMP: (6428) implies:
% 172.61/26.33 | | | | | | | | | | | | | | | | | (6429) all_20_2 = e1
% 172.61/26.33 | | | | | | | | | | | | | | | | |
% 172.61/26.33 | | | | | | | | | | | | | | | | | REDUCE: (617), (6429) imply:
% 172.61/26.33 | | | | | | | | | | | | | | | | | (6430) ~ (all_61_7 = e1)
% 172.61/26.33 | | | | | | | | | | | | | | | | |
% 172.61/26.33 | | | | | | | | | | | | | | | | | REDUCE: (627), (6429) imply:
% 172.61/26.33 | | | | | | | | | | | | | | | | | (6431) ~ (all_61_14 = e1)
% 172.61/26.33 | | | | | | | | | | | | | | | | |
% 172.61/26.33 | | | | | | | | | | | | | | | | | REDUCE: (694), (6429) imply:
% 172.61/26.33 | | | | | | | | | | | | | | | | | (6432) op(e1, e3) = all_65_73
% 172.61/26.33 | | | | | | | | | | | | | | | | |
% 172.61/26.33 | | | | | | | | | | | | | | | | | REDUCE: (696), (6429) imply:
% 172.61/26.33 | | | | | | | | | | | | | | | | | (6433) op(e1, e1) = all_65_77
% 172.61/26.33 | | | | | | | | | | | | | | | | |
% 172.61/26.33 | | | | | | | | | | | | | | | | | REDUCE: (697), (6429) imply:
% 172.61/26.33 | | | | | | | | | | | | | | | | | (6434) op(e1, e0) = all_65_78
% 172.61/26.33 | | | | | | | | | | | | | | | | |
% 172.61/26.33 | | | | | | | | | | | | | | | | | REDUCE: (6289), (6429) imply:
% 172.61/26.33 | | | | | | | | | | | | | | | | | (6435) op(e3, e1) = all_65_73
% 172.61/26.33 | | | | | | | | | | | | | | | | |
% 172.61/26.33 | | | | | | | | | | | | | | | | | REDUCE: (730), (6429) imply:
% 172.61/26.33 | | | | | | | | | | | | | | | | | (6436) op(e2, e1) = all_65_31
% 172.61/26.33 | | | | | | | | | | | | | | | | |
% 172.61/26.33 | | | | | | | | | | | | | | | | | REDUCE: (747), (6429) imply:
% 172.61/26.33 | | | | | | | | | | | | | | | | | (6437) op(e1, e1) = all_65_47
% 172.61/26.33 | | | | | | | | | | | | | | | | |
% 172.61/26.33 | | | | | | | | | | | | | | | | | REDUCE: (764), (6429) imply:
% 172.61/26.33 | | | | | | | | | | | | | | | | | (6438) op(e0, e1) = all_65_78
% 172.61/26.33 | | | | | | | | | | | | | | | | |
% 172.61/26.33 | | | | | | | | | | | | | | | | | REDUCE: (76), (6429) imply:
% 172.61/26.33 | | | | | | | | | | | | | | | | | (6439) op(e0, e0) = e1
% 172.61/26.33 | | | | | | | | | | | | | | | | |
% 172.61/26.34 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_11, all_42_1, e1,
% 172.61/26.34 | | | | | | | | | | | | | | | | | e0, simplifying with (224), (6427) gives:
% 172.61/26.34 | | | | | | | | | | | | | | | | | (6440) all_61_11 = all_42_1
% 172.61/26.34 | | | | | | | | | | | | | | | | |
% 172.61/26.34 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_11, all_65_78, e1,
% 172.61/26.34 | | | | | | | | | | | | | | | | | e0, simplifying with (224), (6438) gives:
% 172.61/26.34 | | | | | | | | | | | | | | | | | (6441) all_65_78 = all_61_11
% 172.61/26.34 | | | | | | | | | | | | | | | | |
% 172.61/26.34 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_14, all_65_78, e0,
% 172.61/26.34 | | | | | | | | | | | | | | | | | e1, simplifying with (227), (6434) gives:
% 172.61/26.34 | | | | | | | | | | | | | | | | | (6442) all_65_78 = all_61_14
% 172.61/26.34 | | | | | | | | | | | | | | | | |
% 172.61/26.34 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e2, all_65_47, e1, e1,
% 172.61/26.34 | | | | | | | | | | | | | | | | | simplifying with (5784), (6437) gives:
% 172.61/26.34 | | | | | | | | | | | | | | | | | (6443) all_65_47 = e2
% 172.61/26.34 | | | | | | | | | | | | | | | | |
% 172.61/26.34 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_77, all_65_47, e1,
% 172.61/26.34 | | | | | | | | | | | | | | | | | e1, simplifying with (6433), (6437) gives:
% 172.61/26.34 | | | | | | | | | | | | | | | | | (6444) all_65_47 = all_65_77
% 172.61/26.34 | | | | | | | | | | | | | | | | |
% 172.61/26.34 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_2, all_65_73, e3,
% 172.61/26.34 | | | | | | | | | | | | | | | | | e1, simplifying with (230), (6432) gives:
% 172.61/26.34 | | | | | | | | | | | | | | | | | (6445) all_65_73 = all_61_2
% 172.61/26.34 | | | | | | | | | | | | | | | | |
% 172.61/26.34 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_10_1, all_65_31, e1,
% 172.61/26.34 | | | | | | | | | | | | | | | | | e2, simplifying with (5838), (6436) gives:
% 172.61/26.34 | | | | | | | | | | | | | | | | | (6446) all_65_31 = all_10_1
% 172.61/26.34 | | | | | | | | | | | | | | | | |
% 172.61/26.34 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_8, all_65_73, e1,
% 172.61/26.34 | | | | | | | | | | | | | | | | | e3, simplifying with (236), (6435) gives:
% 172.61/26.34 | | | | | | | | | | | | | | | | | (6447) all_65_73 = all_61_8
% 172.61/26.34 | | | | | | | | | | | | | | | | |
% 172.61/26.34 | | | | | | | | | | | | | | | | | COMBINE_EQS: (6443), (6444) imply:
% 172.61/26.34 | | | | | | | | | | | | | | | | | (6448) all_65_77 = e2
% 172.61/26.34 | | | | | | | | | | | | | | | | |
% 172.61/26.34 | | | | | | | | | | | | | | | | | SIMP: (6448) implies:
% 172.61/26.34 | | | | | | | | | | | | | | | | | (6449) all_65_77 = e2
% 172.61/26.34 | | | | | | | | | | | | | | | | |
% 172.61/26.34 | | | | | | | | | | | | | | | | | COMBINE_EQS: (6445), (6447) imply:
% 172.61/26.34 | | | | | | | | | | | | | | | | | (6450) all_61_2 = all_61_8
% 172.61/26.34 | | | | | | | | | | | | | | | | |
% 172.61/26.34 | | | | | | | | | | | | | | | | | SIMP: (6450) implies:
% 172.61/26.34 | | | | | | | | | | | | | | | | | (6451) all_61_2 = all_61_8
% 172.61/26.34 | | | | | | | | | | | | | | | | |
% 172.61/26.34 | | | | | | | | | | | | | | | | | COMBINE_EQS: (6441), (6442) imply:
% 172.61/26.34 | | | | | | | | | | | | | | | | | (6452) all_61_11 = all_61_14
% 172.61/26.34 | | | | | | | | | | | | | | | | |
% 172.61/26.34 | | | | | | | | | | | | | | | | | SIMP: (6452) implies:
% 172.61/26.34 | | | | | | | | | | | | | | | | | (6453) all_61_11 = all_61_14
% 172.61/26.34 | | | | | | | | | | | | | | | | |
% 172.61/26.34 | | | | | | | | | | | | | | | | | COMBINE_EQS: (6440), (6453) imply:
% 172.61/26.34 | | | | | | | | | | | | | | | | | (6454) all_61_14 = all_42_1
% 172.61/26.34 | | | | | | | | | | | | | | | | |
% 172.61/26.34 | | | | | | | | | | | | | | | | | COMBINE_EQS: (510), (6440) imply:
% 172.61/26.34 | | | | | | | | | | | | | | | | | (6455) all_63_14 = all_42_1
% 172.61/26.34 | | | | | | | | | | | | | | | | |
% 172.61/26.34 | | | | | | | | | | | | | | | | | REDUCE: (216), (6451) imply:
% 172.61/26.34 | | | | | | | | | | | | | | | | | (6456) ~ (all_61_1 = all_61_8)
% 172.61/26.34 | | | | | | | | | | | | | | | | |
% 172.61/26.34 | | | | | | | | | | | | | | | | | REDUCE: (192), (6440) imply:
% 172.61/26.34 | | | | | | | | | | | | | | | | | (6457) ~ (all_61_7 = all_42_1)
% 172.61/26.34 | | | | | | | | | | | | | | | | |
% 172.61/26.34 | | | | | | | | | | | | | | | | | REDUCE: (5816), (6454) imply:
% 172.61/26.34 | | | | | | | | | | | | | | | | | (6458) ~ (all_42_1 = all_10_1)
% 172.61/26.34 | | | | | | | | | | | | | | | | |
% 172.61/26.34 | | | | | | | | | | | | | | | | | REDUCE: (5776), (6454) imply:
% 172.61/26.34 | | | | | | | | | | | | | | | | | (6459) ~ (all_42_1 = e2)
% 172.61/26.34 | | | | | | | | | | | | | | | | |
% 172.61/26.34 | | | | | | | | | | | | | | | | | REDUCE: (6431), (6454) imply:
% 172.61/26.34 | | | | | | | | | | | | | | | | | (6460) ~ (all_42_1 = e1)
% 172.61/26.34 | | | | | | | | | | | | | | | | |
% 172.61/26.34 | | | | | | | | | | | | | | | | | REDUCE: (668), (6451) imply:
% 172.61/26.34 | | | | | | | | | | | | | | | | | (6461) op(all_61_8, e1) = all_65_34
% 172.61/26.34 | | | | | | | | | | | | | | | | |
% 172.61/26.34 | | | | | | | | | | | | | | | | | REDUCE: (5833), (6440) imply:
% 172.61/26.34 | | | | | | | | | | | | | | | | | (6462) op(all_42_1, e1) = all_61_7
% 172.61/26.34 | | | | | | | | | | | | | | | | |
% 172.61/26.34 | | | | | | | | | | | | | | | | | REDUCE: (680), (6454) imply:
% 172.61/26.34 | | | | | | | | | | | | | | | | | (6463) op(all_42_1, e1) = all_65_46
% 172.61/26.34 | | | | | | | | | | | | | | | | |
% 172.61/26.34 | | | | | | | | | | | | | | | | | REDUCE: (5839), (6451) imply:
% 172.61/26.34 | | | | | | | | | | | | | | | | | (6464) op(e1, all_61_8) = all_61_1
% 172.61/26.34 | | | | | | | | | | | | | | | | |
% 172.61/26.34 | | | | | | | | | | | | | | | | | REDUCE: (746), (6440) imply:
% 172.61/26.34 | | | | | | | | | | | | | | | | | (6465) op(e1, all_42_1) = all_65_46
% 172.61/26.34 | | | | | | | | | | | | | | | | |
% 172.61/26.34 | | | | | | | | | | | | | | | | | REDUCE: (5840), (6454) imply:
% 172.61/26.34 | | | | | | | | | | | | | | | | | (6466) op(e1, all_42_1) = all_61_13
% 172.61/26.34 | | | | | | | | | | | | | | | | |
% 172.61/26.34 | | | | | | | | | | | | | | | | | REDUCE: (227), (6454) imply:
% 172.61/26.34 | | | | | | | | | | | | | | | | | (6467) op(e1, e0) = all_42_1
% 172.61/26.34 | | | | | | | | | | | | | | | | |
% 172.61/26.34 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_13, all_65_46,
% 172.61/26.34 | | | | | | | | | | | | | | | | | all_42_1, e1, simplifying with (6465), (6466)
% 172.61/26.34 | | | | | | | | | | | | | | | | | gives:
% 172.61/26.34 | | | | | | | | | | | | | | | | | (6468) all_65_46 = all_61_13
% 172.61/26.34 | | | | | | | | | | | | | | | | |
% 172.61/26.34 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_34, all_61_1,
% 172.61/26.34 | | | | | | | | | | | | | | | | | all_61_8, e1, simplifying with (734), (6464)
% 172.61/26.34 | | | | | | | | | | | | | | | | | gives:
% 172.61/26.34 | | | | | | | | | | | | | | | | | (6469) all_65_34 = all_61_1
% 172.61/26.34 | | | | | | | | | | | | | | | | |
% 172.61/26.34 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_7, all_65_46, e1,
% 172.61/26.34 | | | | | | | | | | | | | | | | | all_42_1, simplifying with (6462), (6463) gives:
% 172.61/26.34 | | | | | | | | | | | | | | | | | (6470) all_65_46 = all_61_7
% 172.61/26.34 | | | | | | | | | | | | | | | | |
% 172.61/26.34 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_4, all_65_34, e1,
% 172.61/26.34 | | | | | | | | | | | | | | | | | all_61_8, simplifying with (5828), (6461) gives:
% 172.61/26.34 | | | | | | | | | | | | | | | | | (6471) all_65_34 = all_61_4
% 172.61/26.34 | | | | | | | | | | | | | | | | |
% 172.61/26.34 | | | | | | | | | | | | | | | | | COMBINE_EQS: (6469), (6471) imply:
% 172.61/26.34 | | | | | | | | | | | | | | | | | (6472) all_61_1 = all_61_4
% 172.61/26.34 | | | | | | | | | | | | | | | | |
% 172.61/26.34 | | | | | | | | | | | | | | | | | SIMP: (6472) implies:
% 172.61/26.34 | | | | | | | | | | | | | | | | | (6473) all_61_1 = all_61_4
% 172.61/26.34 | | | | | | | | | | | | | | | | |
% 172.61/26.34 | | | | | | | | | | | | | | | | | COMBINE_EQS: (6468), (6470) imply:
% 172.61/26.34 | | | | | | | | | | | | | | | | | (6474) all_61_7 = all_61_13
% 172.61/26.34 | | | | | | | | | | | | | | | | |
% 172.61/26.34 | | | | | | | | | | | | | | | | | SIMP: (6474) implies:
% 172.61/26.34 | | | | | | | | | | | | | | | | | (6475) all_61_7 = all_61_13
% 172.61/26.34 | | | | | | | | | | | | | | | | |
% 172.61/26.34 | | | | | | | | | | | | | | | | | REDUCE: (202), (6475) imply:
% 172.61/26.34 | | | | | | | | | | | | | | | | | (6476) ~ (all_61_4 = all_61_13)
% 172.61/26.34 | | | | | | | | | | | | | | | | |
% 172.61/26.34 | | | | | | | | | | | | | | | | | REDUCE: (6457), (6475) imply:
% 172.61/26.34 | | | | | | | | | | | | | | | | | (6477) ~ (all_61_13 = all_42_1)
% 172.61/26.34 | | | | | | | | | | | | | | | | |
% 172.61/26.34 | | | | | | | | | | | | | | | | | REDUCE: (6430), (6475) imply:
% 172.61/26.34 | | | | | | | | | | | | | | | | | (6478) ~ (all_61_13 = e1)
% 172.61/26.34 | | | | | | | | | | | | | | | | |
% 172.61/26.34 | | | | | | | | | | | | | | | | | BETA: splitting (163) gives:
% 172.61/26.34 | | | | | | | | | | | | | | | | |
% 172.61/26.34 | | | | | | | | | | | | | | | | | Case 1:
% 172.61/26.34 | | | | | | | | | | | | | | | | | |
% 172.61/26.34 | | | | | | | | | | | | | | | | | | (6479) ~ (all_58_1 = e0)
% 172.61/26.34 | | | | | | | | | | | | | | | | | |
% 172.61/26.34 | | | | | | | | | | | | | | | | | | REDUCE: (481), (6479) imply:
% 172.61/26.34 | | | | | | | | | | | | | | | | | | (6480) ~ (all_52_1 = e0)
% 172.61/26.34 | | | | | | | | | | | | | | | | | |
% 172.61/26.34 | | | | | | | | | | | | | | | | | | BETA: splitting (158) gives:
% 172.61/26.34 | | | | | | | | | | | | | | | | | |
% 172.61/26.34 | | | | | | | | | | | | | | | | | | Case 1:
% 172.61/26.34 | | | | | | | | | | | | | | | | | | |
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | (6481) ~ (all_58_3 = e2)
% 172.61/26.34 | | | | | | | | | | | | | | | | | | |
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | REDUCE: (475), (6481) imply:
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | (6482) ~ (all_52_3 = e2)
% 172.61/26.34 | | | | | | | | | | | | | | | | | | |
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | BETA: splitting (161) gives:
% 172.61/26.34 | | | | | | | | | | | | | | | | | | |
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | Case 1:
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | |
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | (6483) ~ (all_58_2 = e2)
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | |
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | REDUCE: (478), (6483) imply:
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | (6484) ~ (all_52_2 = e2)
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | |
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | BETA: splitting (164) gives:
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | |
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | (6485) ~ (all_58_1 = e1)
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | REDUCE: (481), (6485) imply:
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | (6486) ~ (all_52_1 = e1)
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (159) gives:
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | (6487) ~ (all_58_3 = e3)
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (475), (6487) imply:
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | (6488) ~ (all_52_3 = e3)
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (167) gives:
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | (6489) ~ (all_58_0 = e1)
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (484), (6489) imply:
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | (6490) ~ (all_52_0 = e1)
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (162) gives:
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | (6491) ~ (all_58_2 = e3)
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (478), (6491) imply:
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | (6492) ~ (all_52_2 = e3)
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (157) gives:
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | (6493) ~ (all_58_3 = e1)
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (50), (148), (149), (475), (538), (539), (633),
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | (748), (765), (5784), (6439), (6482), (6484),
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | (6488), (6492), (6493) are inconsistent by
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #274.
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | (6494) all_58_2 = e0
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (478), (6494) imply:
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | (6495) all_52_2 = e0
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6495) implies:
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | (6496) all_52_2 = e0
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (748), (6496) imply:
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | (6497) op(e1, e0) = unit
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_42_1, unit, e0, e1,
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (6467), (6497) gives:
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | (6498) all_42_1 = unit
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6455), (6498) imply:
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | (6499) all_63_14 = unit
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6477), (6498) imply:
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | (6500) ~ (all_61_13 = unit)
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6458), (6498) imply:
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | (6501) ~ (all_10_1 = unit)
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6501) implies:
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | (6502) ~ (all_10_1 = unit)
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6459), (6498) imply:
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | (6503) ~ (unit = e2)
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6460), (6498) imply:
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | (6504) ~ (unit = e1)
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (257) gives:
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | (6505) all_63_14 = e3
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (851), (6499), (6505) are inconsistent by
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #273.
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | (6506) all_63_14 = e2 | all_63_14 = e1 | all_63_14 = e0
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6506) gives:
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6507) all_63_14 = e2
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6499), (6503), (6507) are inconsistent by
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #272.
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6508) all_63_14 = e1 | all_63_14 = e0
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6508) gives:
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6509) all_63_14 = e1
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6499), (6509) imply:
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6510) unit = e1
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6510) implies:
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6511) unit = e1
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6504), (6511) imply:
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6512) $false
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6512) is inconsistent.
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6513) all_63_14 = e0
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6499), (6513) imply:
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6514) unit = e0
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6514) implies:
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6515) unit = e0
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6500), (6515) imply:
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6516) ~ (all_61_13 = e0)
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6502), (6515) imply:
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6517) ~ (all_10_1 = e0)
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (264) gives:
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6518) all_63_7 = e3
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (498), (6518) imply:
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6519) all_61_13 = e3
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6476), (6519) imply:
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6520) ~ (all_61_4 = e3)
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5821), (6519) imply:
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6521) ~ (all_10_1 = e3)
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6521) implies:
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6522) ~ (all_10_1 = e3)
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (265) gives:
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6523) all_63_6 = e3
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5809), (6523) imply:
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6524) all_10_1 = e3
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6522), (6524) imply:
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6525) $false
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6525) is inconsistent.
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6526) all_63_6 = e2 | all_63_6 = e1 | all_63_6 = e0
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6526) gives:
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6527) all_63_6 = e2
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5809), (6527) imply:
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6528) all_10_1 = e2
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5823), (6528) imply:
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6529) $false
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6529) is inconsistent.
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6530) all_63_6 = e1 | all_63_6 = e0
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6530) gives:
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6531) all_63_6 = e1
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5809), (6531) imply:
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6532) all_10_1 = e1
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5812), (6532) imply:
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6533) ~ (all_61_4 = e1)
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (270), (488), (5868), (6236), (6520), (6533) are
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #418.
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6534) all_63_6 = e0
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5809), (6534) imply:
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6535) all_10_1 = e0
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6517), (6535) imply:
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6536) $false
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6536) is inconsistent.
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6537) all_63_7 = e2 | all_63_7 = e1 | all_63_7 = e0
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (498), (5870), (6478), (6516), (6537) are
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #474.
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | (6538) all_58_0 = e1
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (484), (6490), (6538) are inconsistent by
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #470.
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | (6539) all_58_2 = e3
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | (6540) all_58_0 = e1
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (484), (6540) imply:
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | (6541) all_52_0 = e1
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (478), (6539) imply:
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | (6542) all_52_2 = e3
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6542) implies:
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | (6543) all_52_2 = e3
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (50), (148), (150), (536), (539), (628), (630),
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | (631), (632), (633), (731), (765), (5877), (6439),
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | (6480), (6541), (6543) are inconsistent by
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #452.
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | (6544) all_58_3 = e3
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | (6545) all_58_0 = e0
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (484), (6545) imply:
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | (6546) all_52_0 = e0
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | SIMP: (6546) implies:
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | (6547) all_52_0 = e0
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (475), (6544) imply:
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | (6548) all_52_3 = e3
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (628), (6547) imply:
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | (6549) ~ (all_52_1 = e0)
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (632), (6548) imply:
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | (6550) ~ (all_52_1 = e3)
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (714), (6547) imply:
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | (6551) op(e3, e0) = unit
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (150) gives:
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | (6552) all_56_1 = e3
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (536), (6552) imply:
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | (6553) all_52_1 = e3
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6550), (6553) imply:
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | (6554) $false
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6554) is inconsistent.
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | (6555) all_56_1 = e2 | all_56_1 = e1 | all_56_1 = e0
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6555) gives:
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | (6556) all_56_1 = e2
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (536), (6556) imply:
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | (6557) all_52_1 = e2
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (731), (6557) imply:
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | (6558) op(e2, e2) = unit
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e2, unit, e2, e2,
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (5877), (6558) gives:
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | (6559) unit = e2
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_36_1, unit, e0, e3,
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (6229), (6551) gives:
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | (6560) all_36_1 = unit
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6559), (6560) imply:
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | (6561) all_36_1 = e2
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8), (6559) imply:
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | (6562) op(e2, e1) = e1
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6), (6559) imply:
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | (6563) op(e3, e2) = e3
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (50), (201), (237), (269), (489), (5773), (5817),
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | (5838), (6230), (6237), (6561), (6562), (6563) are
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #277.
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | (6564) all_56_1 = e1 | all_56_1 = e0
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (536), (6480), (6486), (6564) are inconsistent by
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #454.
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | End of split
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | (6565) all_58_2 = e2
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (478), (6484), (6565) are inconsistent by
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | | sub-proof #433.
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | End of split
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | |
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | Case 2:
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | |
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | (6566) all_58_2 = e2
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | (6567) all_58_1 = e1
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | |
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (50), (478), (481), (631), (731), (5838),
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | (5871), (6566), (6567) are inconsistent by
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | | sub-proof #291.
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | |
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | End of split
% 172.61/26.34 | | | | | | | | | | | | | | | | | | |
% 172.61/26.34 | | | | | | | | | | | | | | | | | | Case 2:
% 172.61/26.34 | | | | | | | | | | | | | | | | | | |
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | (6568) all_58_1 = e0
% 172.61/26.34 | | | | | | | | | | | | | | | | | | |
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (481), (6480), (6568) are inconsistent by
% 172.61/26.34 | | | | | | | | | | | | | | | | | | | sub-proof #462.
% 172.61/26.34 | | | | | | | | | | | | | | | | | | |
% 172.61/26.34 | | | | | | | | | | | | | | | | | | End of split
% 172.61/26.34 | | | | | | | | | | | | | | | | | |
% 172.61/26.34 | | | | | | | | | | | | | | | | | Case 2:
% 172.61/26.34 | | | | | | | | | | | | | | | | | |
% 172.61/26.34 | | | | | | | | | | | | | | | | | | (6569) all_58_3 = e2
% 172.61/26.34 | | | | | | | | | | | | | | | | | | (6570) all_58_1 = e0
% 172.61/26.34 | | | | | | | | | | | | | | | | | |
% 172.61/26.34 | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (50), (225), (231), (475), (481), (663),
% 172.61/26.34 | | | | | | | | | | | | | | | | | | (731), (765), (5870), (5886), (6569), (6570) are
% 172.61/26.34 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #437.
% 172.61/26.34 | | | | | | | | | | | | | | | | | |
% 172.61/26.34 | | | | | | | | | | | | | | | | | End of split
% 172.61/26.34 | | | | | | | | | | | | | | | | |
% 172.61/26.35 | | | | | | | | | | | | | | | | End of split
% 172.61/26.35 | | | | | | | | | | | | | | | |
% 172.61/26.35 | | | | | | | | | | | | | | | End of split
% 172.61/26.35 | | | | | | | | | | | | | | |
% 172.61/26.35 | | | | | | | | | | | | | | End of split
% 172.61/26.35 | | | | | | | | | | | | | |
% 172.61/26.35 | | | | | | | | | | | | | Case 2:
% 172.61/26.35 | | | | | | | | | | | | | |
% 172.61/26.35 | | | | | | | | | | | | | | (6571) all_28_2 = e3
% 172.61/26.35 | | | | | | | | | | | | | | (6572) op(e0, e3) = all_28_1 & $i(all_28_1) & ( ~
% 172.61/26.35 | | | | | | | | | | | | | | (all_28_1 = e2) | ( ~ (all_28_0 = e1) & op(e2,
% 172.61/26.35 | | | | | | | | | | | | | | e0) = all_28_0 & $i(all_28_0)))
% 172.61/26.35 | | | | | | | | | | | | | |
% 172.61/26.35 | | | | | | | | | | | | | | ALPHA: (6572) implies:
% 172.61/26.35 | | | | | | | | | | | | | | (6573) op(e0, e3) = all_28_1
% 172.61/26.35 | | | | | | | | | | | | | |
% 172.61/26.35 | | | | | | | | | | | | | | COMBINE_EQS: (563), (6571) imply:
% 172.61/26.35 | | | | | | | | | | | | | | (6574) all_20_2 = e3
% 172.61/26.35 | | | | | | | | | | | | | |
% 172.61/26.35 | | | | | | | | | | | | | | REDUCE: (617), (6574) imply:
% 172.61/26.35 | | | | | | | | | | | | | | (6575) ~ (all_61_7 = e3)
% 172.61/26.35 | | | | | | | | | | | | | |
% 172.61/26.35 | | | | | | | | | | | | | | REDUCE: (624), (6574) imply:
% 172.61/26.35 | | | | | | | | | | | | | | (6576) ~ (all_61_11 = e3)
% 172.61/26.35 | | | | | | | | | | | | | |
% 172.61/26.35 | | | | | | | | | | | | | | REDUCE: (695), (6574) imply:
% 172.61/26.35 | | | | | | | | | | | | | | (6577) op(e3, e2) = all_65_75
% 172.61/26.35 | | | | | | | | | | | | | |
% 172.61/26.35 | | | | | | | | | | | | | | REDUCE: (696), (6574) imply:
% 172.61/26.35 | | | | | | | | | | | | | | (6578) op(e3, e1) = all_65_77
% 172.61/26.35 | | | | | | | | | | | | | |
% 172.61/26.35 | | | | | | | | | | | | | | REDUCE: (697), (6574) imply:
% 172.61/26.35 | | | | | | | | | | | | | | (6579) op(e3, e0) = all_65_78
% 172.61/26.35 | | | | | | | | | | | | | |
% 172.61/26.35 | | | | | | | | | | | | | | REDUCE: (730), (6574) imply:
% 172.61/26.35 | | | | | | | | | | | | | | (6580) op(e2, e3) = all_65_31
% 172.61/26.35 | | | | | | | | | | | | | |
% 172.61/26.35 | | | | | | | | | | | | | | REDUCE: (747), (6574) imply:
% 172.61/26.35 | | | | | | | | | | | | | | (6581) op(e1, e3) = all_65_47
% 172.61/26.35 | | | | | | | | | | | | | |
% 172.61/26.35 | | | | | | | | | | | | | | REDUCE: (764), (6574) imply:
% 172.61/26.35 | | | | | | | | | | | | | | (6582) op(e0, e3) = all_65_78
% 172.61/26.35 | | | | | | | | | | | | | |
% 172.61/26.35 | | | | | | | | | | | | | | REDUCE: (76), (6574) imply:
% 172.61/26.35 | | | | | | | | | | | | | | (6583) op(e0, e0) = e3
% 172.61/26.35 | | | | | | | | | | | | | |
% 172.61/26.35 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_3, all_65_78, e3,
% 172.61/26.35 | | | | | | | | | | | | | | e0, simplifying with (226), (6582) gives:
% 172.61/26.35 | | | | | | | | | | | | | | (6584) all_65_78 = all_61_3
% 172.61/26.35 | | | | | | | | | | | | | |
% 172.61/26.35 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_28_1, all_65_78, e3,
% 172.61/26.35 | | | | | | | | | | | | | | e0, simplifying with (6573), (6582) gives:
% 172.61/26.35 | | | | | | | | | | | | | | (6585) all_65_78 = all_28_1
% 172.61/26.35 | | | | | | | | | | | | | |
% 172.61/26.35 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_2, all_65_47, e3,
% 172.61/26.35 | | | | | | | | | | | | | | e1, simplifying with (230), (6581) gives:
% 172.61/26.35 | | | | | | | | | | | | | | (6586) all_65_47 = all_61_2
% 172.61/26.35 | | | | | | | | | | | | | |
% 172.61/26.35 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_1, all_65_31, e3,
% 172.61/26.35 | | | | | | | | | | | | | | e2, simplifying with (234), (6580) gives:
% 172.61/26.35 | | | | | | | | | | | | | | (6587) all_65_31 = all_61_1
% 172.61/26.35 | | | | | | | | | | | | | |
% 172.61/26.35 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_12, all_65_78, e0,
% 172.61/26.35 | | | | | | | | | | | | | | e3, simplifying with (235), (6579) gives:
% 172.61/26.35 | | | | | | | | | | | | | | (6588) all_65_78 = all_61_12
% 172.61/26.35 | | | | | | | | | | | | | |
% 172.61/26.35 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_8, all_65_77, e1,
% 172.61/26.35 | | | | | | | | | | | | | | e3, simplifying with (236), (6578) gives:
% 172.61/26.35 | | | | | | | | | | | | | | (6589) all_65_77 = all_61_8
% 172.61/26.35 | | | | | | | | | | | | | |
% 172.61/26.35 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_4, all_65_75, e2,
% 172.61/26.35 | | | | | | | | | | | | | | e3, simplifying with (237), (6577) gives:
% 172.61/26.35 | | | | | | | | | | | | | | (6590) all_65_75 = all_61_4
% 172.61/26.35 | | | | | | | | | | | | | |
% 172.61/26.35 | | | | | | | | | | | | | | COMBINE_EQS: (6585), (6588) imply:
% 172.61/26.35 | | | | | | | | | | | | | | (6591) all_61_12 = all_28_1
% 172.61/26.35 | | | | | | | | | | | | | |
% 172.61/26.35 | | | | | | | | | | | | | | SIMP: (6591) implies:
% 172.61/26.35 | | | | | | | | | | | | | | (6592) all_61_12 = all_28_1
% 172.61/26.35 | | | | | | | | | | | | | |
% 172.61/26.35 | | | | | | | | | | | | | | COMBINE_EQS: (6584), (6585) imply:
% 172.61/26.35 | | | | | | | | | | | | | | (6593) all_61_3 = all_28_1
% 172.61/26.35 | | | | | | | | | | | | | |
% 172.61/26.35 | | | | | | | | | | | | | | SIMP: (6593) implies:
% 172.61/26.35 | | | | | | | | | | | | | | (6594) all_61_3 = all_28_1
% 172.61/26.35 | | | | | | | | | | | | | |
% 172.61/26.35 | | | | | | | | | | | | | | REDUCE: (215), (6594) imply:
% 172.61/26.35 | | | | | | | | | | | | | | (6595) ~ (all_61_1 = all_28_1)
% 172.61/26.35 | | | | | | | | | | | | | |
% 172.61/26.35 | | | | | | | | | | | | | | REDUCE: (207), (6594) imply:
% 172.61/26.35 | | | | | | | | | | | | | | (6596) ~ (all_61_7 = all_28_1)
% 172.61/26.35 | | | | | | | | | | | | | |
% 172.61/26.35 | | | | | | | | | | | | | | SIMP: (6596) implies:
% 172.61/26.35 | | | | | | | | | | | | | | (6597) ~ (all_61_7 = all_28_1)
% 172.61/26.35 | | | | | | | | | | | | | |
% 172.61/26.35 | | | | | | | | | | | | | | REDUCE: (206), (6594) imply:
% 172.61/26.35 | | | | | | | | | | | | | | (6598) ~ (all_61_11 = all_28_1)
% 172.61/26.35 | | | | | | | | | | | | | |
% 172.61/26.35 | | | | | | | | | | | | | | SIMP: (6598) implies:
% 172.61/26.35 | | | | | | | | | | | | | | (6599) ~ (all_61_11 = all_28_1)
% 172.61/26.35 | | | | | | | | | | | | | |
% 172.61/26.35 | | | | | | | | | | | | | | REDUCE: (187), (6592) imply:
% 172.61/26.35 | | | | | | | | | | | | | | (6600) ~ (all_61_8 = all_28_1)
% 172.61/26.35 | | | | | | | | | | | | | |
% 172.61/26.35 | | | | | | | | | | | | | | REDUCE: (682), (6594) imply:
% 172.61/26.35 | | | | | | | | | | | | | | (6601) op(all_28_1, e3) = all_65_49
% 172.61/26.35 | | | | | | | | | | | | | |
% 172.61/26.35 | | | | | | | | | | | | | | REDUCE: (684), (6594) imply:
% 172.61/26.35 | | | | | | | | | | | | | | (6602) op(all_28_1, e1) = all_65_53
% 172.61/26.35 | | | | | | | | | | | | | |
% 172.61/26.35 | | | | | | | | | | | | | | REDUCE: (646), (6592) imply:
% 172.61/26.35 | | | | | | | | | | | | | | (6603) op(all_28_1, e3) = all_65_12
% 172.61/26.35 | | | | | | | | | | | | | |
% 172.61/26.35 | | | | | | | | | | | | | | REDUCE: (648), (6592) imply:
% 172.61/26.35 | | | | | | | | | | | | | | (6604) op(all_28_1, e1) = all_65_14
% 172.61/26.35 | | | | | | | | | | | | | |
% 172.61/26.35 | | | | | | | | | | | | | | REDUCE: (681), (6586) imply:
% 172.61/26.35 | | | | | | | | | | | | | | (6605) op(all_61_14, e0) = all_61_2
% 172.61/26.35 | | | | | | | | | | | | | |
% 172.61/26.35 | | | | | | | | | | | | | | REDUCE: (710), (6594) imply:
% 172.61/26.35 | | | | | | | | | | | | | | (6606) op(e3, all_28_1) = all_65_12
% 172.61/26.35 | | | | | | | | | | | | | |
% 172.61/26.35 | | | | | | | | | | | | | | REDUCE: (701), (6592) imply:
% 172.61/26.35 | | | | | | | | | | | | | | (6607) op(e3, all_28_1) = all_65_3
% 172.61/26.35 | | | | | | | | | | | | | |
% 172.61/26.35 | | | | | | | | | | | | | | REDUCE: (235), (6592) imply:
% 172.61/26.35 | | | | | | | | | | | | | | (6608) op(e3, e0) = all_28_1
% 172.61/26.35 | | | | | | | | | | | | | |
% 172.61/26.35 | | | | | | | | | | | | | | REDUCE: (763), (6589) imply:
% 172.61/26.35 | | | | | | | | | | | | | | (6609) op(e0, all_61_11) = all_61_8
% 172.61/26.35 | | | | | | | | | | | | | |
% 172.61/26.35 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_12, all_65_3,
% 172.61/26.35 | | | | | | | | | | | | | | all_28_1, e3, simplifying with (6606), (6607)
% 172.61/26.35 | | | | | | | | | | | | | | gives:
% 172.61/26.35 | | | | | | | | | | | | | | (6610) all_65_3 = all_65_12
% 172.61/26.35 | | | | | | | | | | | | | |
% 172.61/26.35 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_53, all_65_14, e1,
% 172.61/26.35 | | | | | | | | | | | | | | all_28_1, simplifying with (6602), (6604) gives:
% 172.61/26.35 | | | | | | | | | | | | | | (6611) all_65_14 = all_65_53
% 172.61/26.35 | | | | | | | | | | | | | |
% 172.61/26.35 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_49, all_65_12, e3,
% 172.61/26.35 | | | | | | | | | | | | | | all_28_1, simplifying with (6601), (6603) gives:
% 172.61/26.35 | | | | | | | | | | | | | | (6612) all_65_12 = all_65_49
% 172.61/26.35 | | | | | | | | | | | | | |
% 172.61/26.35 | | | | | | | | | | | | | | COMBINE_EQS: (6610), (6612) imply:
% 172.61/26.35 | | | | | | | | | | | | | | (6613) all_65_3 = all_65_49
% 172.61/26.35 | | | | | | | | | | | | | |
% 172.61/26.35 | | | | | | | | | | | | | | REDUCE: (637), (6613) imply:
% 172.61/26.35 | | | | | | | | | | | | | | (6614) op(all_14_2, e0) = all_65_49
% 172.61/26.35 | | | | | | | | | | | | | |
% 172.61/26.35 | | | | | | | | | | | | | | REDUCE: (6606), (6612) imply:
% 172.61/26.35 | | | | | | | | | | | | | | (6615) op(e3, all_28_1) = all_65_49
% 172.61/26.35 | | | | | | | | | | | | | |
% 172.61/26.35 | | | | | | | | | | | | | | BETA: splitting (101) gives:
% 172.61/26.35 | | | | | | | | | | | | | |
% 172.61/26.35 | | | | | | | | | | | | | | Case 1:
% 172.61/26.35 | | | | | | | | | | | | | | |
% 172.61/26.35 | | | | | | | | | | | | | | | (6616) ~ (all_36_2 = e0)
% 172.61/26.35 | | | | | | | | | | | | | | |
% 172.61/26.35 | | | | | | | | | | | | | | | REDUCE: (557), (6616) imply:
% 172.61/26.35 | | | | | | | | | | | | | | | (6617) ~ (all_14_2 = e0)
% 172.61/26.35 | | | | | | | | | | | | | | |
% 172.61/26.35 | | | | | | | | | | | | | | | BETA: splitting (107) gives:
% 172.61/26.35 | | | | | | | | | | | | | | |
% 172.61/26.35 | | | | | | | | | | | | | | | Case 1:
% 172.61/26.35 | | | | | | | | | | | | | | | |
% 172.61/26.35 | | | | | | | | | | | | | | | | (6618) ~ (all_40_2 = e1)
% 172.61/26.35 | | | | | | | | | | | | | | | |
% 172.61/26.35 | | | | | | | | | | | | | | | | REDUCE: (553), (6618) imply:
% 172.61/26.35 | | | | | | | | | | | | | | | | (6619) ~ (all_14_2 = e1)
% 172.61/26.35 | | | | | | | | | | | | | | | |
% 172.61/26.35 | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (9), (10), (50), (150), (158), (163),
% 172.61/26.35 | | | | | | | | | | | | | | | | (164), (165), (168), (225), (231), (234), (237),
% 172.61/26.35 | | | | | | | | | | | | | | | | (271), (475), (478), (481), (484), (536), (588),
% 172.61/26.35 | | | | | | | | | | | | | | | | (599), (631), (635), (638), (650), (663), (714),
% 172.61/26.35 | | | | | | | | | | | | | | | | (715), (731), (765), (5838), (5858), (5870),
% 172.61/26.35 | | | | | | | | | | | | | | | | (5871), (5877), (5886), (6617), (6619) are
% 172.61/26.35 | | | | | | | | | | | | | | | | inconsistent by sub-proof #290.
% 172.61/26.35 | | | | | | | | | | | | | | | |
% 172.61/26.35 | | | | | | | | | | | | | | | Case 2:
% 172.61/26.35 | | | | | | | | | | | | | | | |
% 172.61/26.35 | | | | | | | | | | | | | | | | (6620) all_40_2 = e1
% 172.61/26.35 | | | | | | | | | | | | | | | | (6621) op(e3, e1) = all_40_1 & $i(all_40_1) & ( ~
% 172.61/26.35 | | | | | | | | | | | | | | | | (all_40_1 = e0) | ( ~ (all_40_0 = e2) & op(e0,
% 172.61/26.35 | | | | | | | | | | | | | | | | e3) = all_40_0 & $i(all_40_0)))
% 172.61/26.35 | | | | | | | | | | | | | | | |
% 172.61/26.35 | | | | | | | | | | | | | | | | ALPHA: (6621) implies:
% 172.61/26.35 | | | | | | | | | | | | | | | | (6622) op(e3, e1) = all_40_1
% 172.61/26.35 | | | | | | | | | | | | | | | | (6623) ~ (all_40_1 = e0) | ( ~ (all_40_0 = e2) & op(e0,
% 172.61/26.35 | | | | | | | | | | | | | | | | e3) = all_40_0 & $i(all_40_0))
% 172.61/26.35 | | | | | | | | | | | | | | | |
% 172.61/26.35 | | | | | | | | | | | | | | | | COMBINE_EQS: (553), (6620) imply:
% 172.61/26.35 | | | | | | | | | | | | | | | | (6624) all_14_2 = e1
% 172.61/26.35 | | | | | | | | | | | | | | | |
% 172.61/26.35 | | | | | | | | | | | | | | | | SIMP: (6624) implies:
% 172.61/26.35 | | | | | | | | | | | | | | | | (6625) all_14_2 = e1
% 172.61/26.35 | | | | | | | | | | | | | | | |
% 172.61/26.35 | | | | | | | | | | | | | | | | REDUCE: (593), (6625) imply:
% 172.61/26.35 | | | | | | | | | | | | | | | | (6626) ~ (all_61_1 = e1)
% 172.61/26.35 | | | | | | | | | | | | | | | |
% 172.61/26.35 | | | | | | | | | | | | | | | | REDUCE: (601), (6625) imply:
% 172.61/26.35 | | | | | | | | | | | | | | | | (6627) ~ (all_61_8 = e1)
% 172.61/26.35 | | | | | | | | | | | | | | | |
% 172.61/26.35 | | | | | | | | | | | | | | | | REDUCE: (634), (6625) imply:
% 172.61/26.35 | | | | | | | | | | | | | | | | (6628) op(e1, e3) = all_65_0
% 172.61/26.35 | | | | | | | | | | | | | | | |
% 172.61/26.35 | | | | | | | | | | | | | | | | REDUCE: (6614), (6625) imply:
% 172.61/26.35 | | | | | | | | | | | | | | | | (6629) op(e1, e0) = all_65_49
% 172.61/26.35 | | | | | | | | | | | | | | | |
% 172.61/26.35 | | | | | | | | | | | | | | | | REDUCE: (698), (6625) imply:
% 172.61/26.35 | | | | | | | | | | | | | | | | (6630) op(e3, e1) = all_65_0
% 172.61/26.35 | | | | | | | | | | | | | | | |
% 172.61/26.35 | | | | | | | | | | | | | | | | REDUCE: (715), (6625) imply:
% 172.61/26.35 | | | | | | | | | | | | | | | | (6631) op(e2, e1) = all_65_16
% 172.61/26.35 | | | | | | | | | | | | | | | |
% 172.61/26.35 | | | | | | | | | | | | | | | | REDUCE: (749), (6625) imply:
% 172.61/26.35 | | | | | | | | | | | | | | | | (6632) op(e0, e1) = all_65_49
% 172.61/26.35 | | | | | | | | | | | | | | | |
% 172.61/26.35 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_11, all_65_49, e1,
% 172.61/26.35 | | | | | | | | | | | | | | | | e0, simplifying with (224), (6632) gives:
% 172.61/26.35 | | | | | | | | | | | | | | | | (6633) all_65_49 = all_61_11
% 172.61/26.35 | | | | | | | | | | | | | | | |
% 172.61/26.35 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_14, all_65_49, e0,
% 172.61/26.35 | | | | | | | | | | | | | | | | e1, simplifying with (227), (6629) gives:
% 172.61/26.35 | | | | | | | | | | | | | | | | (6634) all_65_49 = all_61_14
% 172.61/26.35 | | | | | | | | | | | | | | | |
% 172.61/26.35 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_2, all_65_0, e3,
% 172.61/26.35 | | | | | | | | | | | | | | | | e1, simplifying with (230), (6628) gives:
% 172.61/26.35 | | | | | | | | | | | | | | | | (6635) all_65_0 = all_61_2
% 172.61/26.35 | | | | | | | | | | | | | | | |
% 172.61/26.35 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_10_1, all_65_16, e1,
% 172.61/26.35 | | | | | | | | | | | | | | | | e2, simplifying with (5838), (6631) gives:
% 172.61/26.35 | | | | | | | | | | | | | | | | (6636) all_65_16 = all_10_1
% 172.61/26.35 | | | | | | | | | | | | | | | |
% 172.61/26.35 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_8, all_65_0, e1,
% 172.61/26.35 | | | | | | | | | | | | | | | | e3, simplifying with (236), (6630) gives:
% 172.61/26.35 | | | | | | | | | | | | | | | | (6637) all_65_0 = all_61_8
% 172.61/26.35 | | | | | | | | | | | | | | | |
% 172.61/26.35 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_40_1, all_65_0, e1,
% 172.61/26.35 | | | | | | | | | | | | | | | | e3, simplifying with (6622), (6630) gives:
% 172.61/26.35 | | | | | | | | | | | | | | | | (6638) all_65_0 = all_40_1
% 172.61/26.35 | | | | | | | | | | | | | | | |
% 172.61/26.35 | | | | | | | | | | | | | | | | COMBINE_EQS: (6635), (6638) imply:
% 172.61/26.35 | | | | | | | | | | | | | | | | (6639) all_61_2 = all_40_1
% 172.61/26.35 | | | | | | | | | | | | | | | |
% 172.61/26.35 | | | | | | | | | | | | | | | | SIMP: (6639) implies:
% 172.61/26.35 | | | | | | | | | | | | | | | | (6640) all_61_2 = all_40_1
% 172.61/26.35 | | | | | | | | | | | | | | | |
% 172.61/26.35 | | | | | | | | | | | | | | | | COMBINE_EQS: (6637), (6638) imply:
% 172.61/26.35 | | | | | | | | | | | | | | | | (6641) all_61_8 = all_40_1
% 172.61/26.35 | | | | | | | | | | | | | | | |
% 172.61/26.35 | | | | | | | | | | | | | | | | SIMP: (6641) implies:
% 172.61/26.35 | | | | | | | | | | | | | | | | (6642) all_61_8 = all_40_1
% 172.61/26.35 | | | | | | | | | | | | | | | |
% 172.61/26.35 | | | | | | | | | | | | | | | | COMBINE_EQS: (6633), (6634) imply:
% 172.61/26.35 | | | | | | | | | | | | | | | | (6643) all_61_11 = all_61_14
% 172.61/26.35 | | | | | | | | | | | | | | | |
% 172.61/26.35 | | | | | | | | | | | | | | | | SIMP: (6643) implies:
% 172.61/26.35 | | | | | | | | | | | | | | | | (6644) all_61_11 = all_61_14
% 172.61/26.35 | | | | | | | | | | | | | | | |
% 172.61/26.35 | | | | | | | | | | | | | | | | COMBINE_EQS: (510), (6644) imply:
% 172.61/26.35 | | | | | | | | | | | | | | | | (6645) all_63_14 = all_61_14
% 172.61/26.35 | | | | | | | | | | | | | | | |
% 172.61/26.35 | | | | | | | | | | | | | | | | COMBINE_EQS: (499), (6640) imply:
% 172.61/26.35 | | | | | | | | | | | | | | | | (6646) all_63_8 = all_40_1
% 172.61/26.35 | | | | | | | | | | | | | | | |
% 172.61/26.35 | | | | | | | | | | | | | | | | REDUCE: (216), (6640) imply:
% 172.61/26.35 | | | | | | | | | | | | | | | | (6647) ~ (all_61_1 = all_40_1)
% 172.61/26.35 | | | | | | | | | | | | | | | |
% 172.61/26.35 | | | | | | | | | | | | | | | | REDUCE: (192), (6644) imply:
% 172.61/26.35 | | | | | | | | | | | | | | | | (6648) ~ (all_61_7 = all_61_14)
% 172.61/26.35 | | | | | | | | | | | | | | | |
% 172.61/26.35 | | | | | | | | | | | | | | | | REDUCE: (188), (6642), (6644) imply:
% 172.61/26.35 | | | | | | | | | | | | | | | | (6649) ~ (all_61_14 = all_40_1)
% 172.61/26.35 | | | | | | | | | | | | | | | |
% 172.61/26.35 | | | | | | | | | | | | | | | | SIMP: (6649) implies:
% 172.61/26.35 | | | | | | | | | | | | | | | | (6650) ~ (all_61_14 = all_40_1)
% 172.61/26.35 | | | | | | | | | | | | | | | |
% 172.61/26.35 | | | | | | | | | | | | | | | | REDUCE: (6600), (6642) imply:
% 172.61/26.35 | | | | | | | | | | | | | | | | (6651) ~ (all_40_1 = all_28_1)
% 172.61/26.35 | | | | | | | | | | | | | | | |
% 172.61/26.35 | | | | | | | | | | | | | | | | REDUCE: (5817), (6642) imply:
% 172.61/26.35 | | | | | | | | | | | | | | | | (6652) ~ (all_40_1 = all_10_1)
% 172.61/26.35 | | | | | | | | | | | | | | | |
% 172.61/26.35 | | | | | | | | | | | | | | | | REDUCE: (6627), (6642) imply:
% 172.61/26.35 | | | | | | | | | | | | | | | | (6653) ~ (all_40_1 = e1)
% 172.61/26.35 | | | | | | | | | | | | | | | |
% 172.61/26.35 | | | | | | | | | | | | | | | | REDUCE: (6599), (6644) imply:
% 172.61/26.35 | | | | | | | | | | | | | | | | (6654) ~ (all_61_14 = all_28_1)
% 172.61/26.35 | | | | | | | | | | | | | | | |
% 172.61/26.35 | | | | | | | | | | | | | | | | REDUCE: (6576), (6644) imply:
% 172.61/26.35 | | | | | | | | | | | | | | | | (6655) ~ (all_61_14 = e3)
% 172.61/26.35 | | | | | | | | | | | | | | | |
% 172.61/26.35 | | | | | | | | | | | | | | | | REDUCE: (668), (6640) imply:
% 172.61/26.35 | | | | | | | | | | | | | | | | (6656) op(all_40_1, e1) = all_65_34
% 172.61/26.35 | | | | | | | | | | | | | | | |
% 172.61/26.35 | | | | | | | | | | | | | | | | REDUCE: (5828), (6642) imply:
% 172.61/26.35 | | | | | | | | | | | | | | | | (6657) op(all_40_1, e1) = all_61_4
% 172.61/26.35 | | | | | | | | | | | | | | | |
% 172.61/26.35 | | | | | | | | | | | | | | | | REDUCE: (5833), (6644) imply:
% 172.61/26.35 | | | | | | | | | | | | | | | | (6658) op(all_61_14, e1) = all_61_7
% 172.61/26.35 | | | | | | | | | | | | | | | |
% 172.61/26.35 | | | | | | | | | | | | | | | | REDUCE: (693), (6644) imply:
% 172.61/26.35 | | | | | | | | | | | | | | | | (6659) op(all_61_14, e0) = all_65_71
% 172.61/26.35 | | | | | | | | | | | | | | | |
% 172.61/26.35 | | | | | | | | | | | | | | | | REDUCE: (6605), (6640) imply:
% 172.61/26.35 | | | | | | | | | | | | | | | | (6660) op(all_61_14, e0) = all_40_1
% 172.61/26.35 | | | | | | | | | | | | | | | |
% 172.61/26.35 | | | | | | | | | | | | | | | | REDUCE: (5839), (6640) imply:
% 172.61/26.35 | | | | | | | | | | | | | | | | (6661) op(e1, all_40_1) = all_61_1
% 172.61/26.35 | | | | | | | | | | | | | | | |
% 172.61/26.35 | | | | | | | | | | | | | | | | REDUCE: (734), (6642) imply:
% 172.61/26.35 | | | | | | | | | | | | | | | | (6662) op(e1, all_40_1) = all_65_34
% 172.61/26.35 | | | | | | | | | | | | | | | |
% 172.61/26.35 | | | | | | | | | | | | | | | | REDUCE: (746), (6644) imply:
% 172.61/26.35 | | | | | | | | | | | | | | | | (6663) op(e1, all_61_14) = all_65_46
% 172.61/26.35 | | | | | | | | | | | | | | | |
% 172.61/26.35 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_1, all_65_34,
% 172.61/26.35 | | | | | | | | | | | | | | | | all_40_1, e1, simplifying with (6661), (6662)
% 172.61/26.35 | | | | | | | | | | | | | | | | gives:
% 172.61/26.35 | | | | | | | | | | | | | | | | (6664) all_65_34 = all_61_1
% 172.61/26.35 | | | | | | | | | | | | | | | |
% 172.61/26.35 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_13, all_65_46,
% 172.61/26.35 | | | | | | | | | | | | | | | | all_61_14, e1, simplifying with (5840), (6663)
% 172.61/26.35 | | | | | | | | | | | | | | | | gives:
% 172.61/26.35 | | | | | | | | | | | | | | | | (6665) all_65_46 = all_61_13
% 172.61/26.35 | | | | | | | | | | | | | | | |
% 172.61/26.35 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_4, all_65_34, e1,
% 172.61/26.35 | | | | | | | | | | | | | | | | all_40_1, simplifying with (6656), (6657) gives:
% 172.61/26.35 | | | | | | | | | | | | | | | | (6666) all_65_34 = all_61_4
% 172.61/26.35 | | | | | | | | | | | | | | | |
% 172.61/26.35 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_40_1, all_65_71, e0,
% 172.61/26.35 | | | | | | | | | | | | | | | | all_61_14, simplifying with (6659), (6660) gives:
% 172.61/26.35 | | | | | | | | | | | | | | | | (6667) all_65_71 = all_40_1
% 172.61/26.35 | | | | | | | | | | | | | | | |
% 172.61/26.35 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_46, all_61_7, e1,
% 172.61/26.35 | | | | | | | | | | | | | | | | all_61_14, simplifying with (680), (6658) gives:
% 172.61/26.35 | | | | | | | | | | | | | | | | (6668) all_65_46 = all_61_7
% 172.61/26.35 | | | | | | | | | | | | | | | |
% 172.61/26.35 | | | | | | | | | | | | | | | | COMBINE_EQS: (6664), (6666) imply:
% 172.61/26.35 | | | | | | | | | | | | | | | | (6669) all_61_1 = all_61_4
% 172.61/26.35 | | | | | | | | | | | | | | | |
% 172.61/26.35 | | | | | | | | | | | | | | | | SIMP: (6669) implies:
% 172.61/26.35 | | | | | | | | | | | | | | | | (6670) all_61_1 = all_61_4
% 172.61/26.35 | | | | | | | | | | | | | | | |
% 172.61/26.35 | | | | | | | | | | | | | | | | COMBINE_EQS: (6665), (6668) imply:
% 172.61/26.35 | | | | | | | | | | | | | | | | (6671) all_61_7 = all_61_13
% 172.61/26.35 | | | | | | | | | | | | | | | |
% 172.61/26.35 | | | | | | | | | | | | | | | | COMBINE_EQS: (508), (6671) imply:
% 172.61/26.35 | | | | | | | | | | | | | | | | (6672) all_63_13 = all_61_13
% 172.61/26.35 | | | | | | | | | | | | | | | |
% 172.61/26.35 | | | | | | | | | | | | | | | | REDUCE: (6647), (6670) imply:
% 172.61/26.35 | | | | | | | | | | | | | | | | (6673) ~ (all_61_4 = all_40_1)
% 172.61/26.35 | | | | | | | | | | | | | | | |
% 172.61/26.35 | | | | | | | | | | | | | | | | REDUCE: (6595), (6670) imply:
% 172.61/26.35 | | | | | | | | | | | | | | | | (6674) ~ (all_61_4 = all_28_1)
% 172.61/26.35 | | | | | | | | | | | | | | | |
% 172.61/26.35 | | | | | | | | | | | | | | | | REDUCE: (6626), (6670) imply:
% 172.61/26.35 | | | | | | | | | | | | | | | | (6675) ~ (all_61_4 = e1)
% 172.61/26.35 | | | | | | | | | | | | | | | |
% 172.61/26.35 | | | | | | | | | | | | | | | | REDUCE: (202), (6671) imply:
% 172.61/26.35 | | | | | | | | | | | | | | | | (6676) ~ (all_61_4 = all_61_13)
% 172.61/26.35 | | | | | | | | | | | | | | | |
% 172.61/26.35 | | | | | | | | | | | | | | | | REDUCE: (6597), (6671) imply:
% 172.61/26.35 | | | | | | | | | | | | | | | | (6677) ~ (all_61_13 = all_28_1)
% 172.61/26.35 | | | | | | | | | | | | | | | |
% 172.61/26.35 | | | | | | | | | | | | | | | | REDUCE: (6575), (6671) imply:
% 172.61/26.35 | | | | | | | | | | | | | | | | (6678) ~ (all_61_13 = e3)
% 172.61/26.35 | | | | | | | | | | | | | | | |
% 172.61/26.35 | | | | | | | | | | | | | | | | REDUCE: (6658), (6671) imply:
% 172.61/26.35 | | | | | | | | | | | | | | | | (6679) op(all_61_14, e1) = all_61_13
% 172.61/26.35 | | | | | | | | | | | | | | | |
% 172.61/26.35 | | | | | | | | | | | | | | | | BETA: splitting (163) gives:
% 172.61/26.35 | | | | | | | | | | | | | | | |
% 172.61/26.35 | | | | | | | | | | | | | | | | Case 1:
% 172.61/26.35 | | | | | | | | | | | | | | | | |
% 172.61/26.35 | | | | | | | | | | | | | | | | | (6680) ~ (all_58_1 = e0)
% 172.61/26.35 | | | | | | | | | | | | | | | | |
% 172.61/26.35 | | | | | | | | | | | | | | | | | REDUCE: (481), (6680) imply:
% 172.61/26.35 | | | | | | | | | | | | | | | | | (6681) ~ (all_52_1 = e0)
% 172.61/26.35 | | | | | | | | | | | | | | | | |
% 172.61/26.35 | | | | | | | | | | | | | | | | | BETA: splitting (158) gives:
% 172.61/26.35 | | | | | | | | | | | | | | | | |
% 172.61/26.35 | | | | | | | | | | | | | | | | | Case 1:
% 172.61/26.35 | | | | | | | | | | | | | | | | | |
% 172.61/26.35 | | | | | | | | | | | | | | | | | | (6682) ~ (all_58_3 = e2)
% 172.61/26.35 | | | | | | | | | | | | | | | | | |
% 172.61/26.35 | | | | | | | | | | | | | | | | | | REDUCE: (475), (6682) imply:
% 172.61/26.35 | | | | | | | | | | | | | | | | | | (6683) ~ (all_52_3 = e2)
% 172.61/26.35 | | | | | | | | | | | | | | | | | |
% 172.61/26.35 | | | | | | | | | | | | | | | | | | BETA: splitting (164) gives:
% 172.61/26.35 | | | | | | | | | | | | | | | | | |
% 172.61/26.35 | | | | | | | | | | | | | | | | | | Case 1:
% 172.61/26.35 | | | | | | | | | | | | | | | | | | |
% 172.61/26.35 | | | | | | | | | | | | | | | | | | | (6684) ~ (all_58_1 = e1)
% 172.61/26.35 | | | | | | | | | | | | | | | | | | |
% 172.61/26.35 | | | | | | | | | | | | | | | | | | | REDUCE: (481), (6684) imply:
% 172.61/26.35 | | | | | | | | | | | | | | | | | | | (6685) ~ (all_52_1 = e1)
% 172.61/26.35 | | | | | | | | | | | | | | | | | | |
% 172.61/26.35 | | | | | | | | | | | | | | | | | | | BETA: splitting (159) gives:
% 172.61/26.35 | | | | | | | | | | | | | | | | | | |
% 172.61/26.35 | | | | | | | | | | | | | | | | | | | Case 1:
% 172.61/26.35 | | | | | | | | | | | | | | | | | | | |
% 172.61/26.35 | | | | | | | | | | | | | | | | | | | | (6686) ~ (all_58_3 = e3)
% 172.61/26.35 | | | | | | | | | | | | | | | | | | | |
% 172.61/26.35 | | | | | | | | | | | | | | | | | | | | REDUCE: (475), (6686) imply:
% 172.61/26.35 | | | | | | | | | | | | | | | | | | | | (6687) ~ (all_52_3 = e3)
% 172.61/26.35 | | | | | | | | | | | | | | | | | | | |
% 172.61/26.35 | | | | | | | | | | | | | | | | | | | | BETA: splitting (157) gives:
% 172.61/26.35 | | | | | | | | | | | | | | | | | | | |
% 172.61/26.35 | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.61/26.35 | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.35 | | | | | | | | | | | | | | | | | | | | | (6688) ~ (all_58_3 = e1)
% 172.61/26.35 | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.35 | | | | | | | | | | | | | | | | | | | | | REDUCE: (475), (6688) imply:
% 172.61/26.35 | | | | | | | | | | | | | | | | | | | | | (6689) ~ (all_52_3 = e1)
% 172.61/26.35 | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.35 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (50), (148), (539), (765), (851), (6583), (6683),
% 172.61/26.35 | | | | | | | | | | | | | | | | | | | | | (6687), (6689) are inconsistent by sub-proof #439.
% 172.61/26.35 | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.35 | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.61/26.35 | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.35 | | | | | | | | | | | | | | | | | | | | | (6690) all_58_2 = e0
% 172.61/26.35 | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.35 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (478), (6690) imply:
% 172.61/26.35 | | | | | | | | | | | | | | | | | | | | | (6691) all_52_2 = e0
% 172.61/26.35 | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.35 | | | | | | | | | | | | | | | | | | | | | SIMP: (6691) implies:
% 172.61/26.35 | | | | | | | | | | | | | | | | | | | | | (6692) all_52_2 = e0
% 172.61/26.35 | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.35 | | | | | | | | | | | | | | | | | | | | | REDUCE: (748), (6692) imply:
% 172.61/26.35 | | | | | | | | | | | | | | | | | | | | | (6693) op(e1, e0) = unit
% 172.61/26.35 | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.35 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_14, unit, e0, e1,
% 172.61/26.35 | | | | | | | | | | | | | | | | | | | | | simplifying with (227), (6693) gives:
% 172.61/26.35 | | | | | | | | | | | | | | | | | | | | | (6694) all_61_14 = unit
% 172.61/26.35 | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.35 | | | | | | | | | | | | | | | | | | | | | REDUCE: (177), (6694) imply:
% 172.61/26.35 | | | | | | | | | | | | | | | | | | | | | (6695) ~ (all_61_13 = unit)
% 172.61/26.35 | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.35 | | | | | | | | | | | | | | | | | | | | | REDUCE: (6650), (6694) imply:
% 172.61/26.35 | | | | | | | | | | | | | | | | | | | | | (6696) ~ (all_40_1 = unit)
% 172.61/26.35 | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.35 | | | | | | | | | | | | | | | | | | | | | SIMP: (6696) implies:
% 172.61/26.35 | | | | | | | | | | | | | | | | | | | | | (6697) ~ (all_40_1 = unit)
% 172.61/26.35 | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.35 | | | | | | | | | | | | | | | | | | | | | REDUCE: (5776), (6694) imply:
% 172.61/26.35 | | | | | | | | | | | | | | | | | | | | | (6698) ~ (unit = e2)
% 172.61/26.35 | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.35 | | | | | | | | | | | | | | | | | | | | | REDUCE: (6679), (6694) imply:
% 172.61/26.35 | | | | | | | | | | | | | | | | | | | | | (6699) op(unit, e1) = all_61_13
% 172.61/26.35 | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | REDUCE: (6660), (6694) imply:
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | (6700) op(unit, e0) = all_40_1
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e0, all_40_1, e0, unit,
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | simplifying with (7), (6700) gives:
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | (6701) all_40_1 = e0
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e1, all_61_13, e1, unit,
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | simplifying with (8), (6699) gives:
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | (6702) all_61_13 = e1
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | REDUCE: (6695), (6702) imply:
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | (6703) ~ (unit = e1)
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | SIMP: (6703) implies:
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | (6704) ~ (unit = e1)
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | REDUCE: (6697), (6701) imply:
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | (6705) ~ (unit = e0)
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | SIMP: (6705) implies:
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | (6706) ~ (unit = e0)
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (852), (6698), (6704), (6706) are inconsistent by
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | sub-proof #398.
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | End of split
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | |
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | Case 2:
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | |
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | (6707) all_58_3 = e3
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | (6708) all_58_0 = e0
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | |
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (484), (6708) imply:
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | (6709) all_52_0 = e0
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | |
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | SIMP: (6709) implies:
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | (6710) all_52_0 = e0
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | |
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (475), (6707) imply:
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | (6711) all_52_3 = e3
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | |
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | REDUCE: (628), (6710) imply:
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | (6712) ~ (all_52_1 = e0)
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | |
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | REDUCE: (632), (6711) imply:
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | (6713) ~ (all_52_1 = e3)
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | |
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | REDUCE: (714), (6710) imply:
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | (6714) op(e3, e0) = unit
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | |
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | BETA: splitting (150) gives:
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | |
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | (6715) all_56_1 = e3
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (536), (6715) imply:
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | (6716) all_52_1 = e3
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | REDUCE: (6713), (6716) imply:
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | (6717) $false
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | CLOSE: (6717) is inconsistent.
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | (6718) all_56_1 = e2 | all_56_1 = e1 | all_56_1 = e0
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6718) gives:
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | (6719) all_56_1 = e2
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (536), (6719) imply:
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | (6720) all_52_1 = e2
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (731), (6720) imply:
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | (6721) op(e2, e2) = unit
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e2, unit, e2, e2,
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | simplifying with (5877), (6721) gives:
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | (6722) unit = e2
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_28_1, unit, e0, e3,
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | simplifying with (6608), (6714) gives:
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | (6723) all_28_1 = unit
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6722), (6723) imply:
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | (6724) all_28_1 = e2
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6651), (6724) imply:
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | (6725) ~ (all_40_1 = e2)
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6623) gives:
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | (6726) ~ (all_40_1 = e0)
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (263) gives:
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | | (6727) all_63_8 = e3
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6646), (6727) imply:
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | | (6728) all_40_1 = e3
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6673), (6728) imply:
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | | (6729) ~ (all_61_4 = e3)
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6652), (6728) imply:
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | | (6730) ~ (all_10_1 = e3)
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6730) implies:
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | | (6731) ~ (all_10_1 = e3)
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (270) gives:
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | (6732) all_63_1 = e3
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (488), (6732) imply:
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | (6733) all_61_4 = e3
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6729), (6733) imply:
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | (6734) $false
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6734) is inconsistent.
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | (6735) all_63_1 = e2 | all_63_1 = e1 | all_63_1 = e0
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6735) gives:
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | (6736) all_63_1 = e2
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (488), (6736) imply:
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | (6737) all_61_4 = e2
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5868), (6737) imply:
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | (6738) $false
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6738) is inconsistent.
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | (6739) all_63_1 = e1 | all_63_1 = e0
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6739) gives:
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6740) all_63_1 = e1
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (488), (6740) imply:
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6741) all_61_4 = e1
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6675), (6741) imply:
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6742) $false
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6742) is inconsistent.
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6743) all_63_1 = e0
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (488), (6743) imply:
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6744) all_61_4 = e0
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6676), (6744) imply:
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6745) ~ (all_61_13 = e0)
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6745) implies:
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6746) ~ (all_61_13 = e0)
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5812), (6744) imply:
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6747) ~ (all_10_1 = e0)
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6747) implies:
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6748) ~ (all_10_1 = e0)
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (258) gives:
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6749) all_63_13 = e3
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6672), (6749) imply:
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6750) all_61_13 = e3
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6678), (6750) imply:
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6751) $false
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6751) is inconsistent.
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6752) all_63_13 = e2 | all_63_13 = e1 | all_63_13 = e0
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (265) gives:
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6753) all_63_6 = e3
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5809), (6753) imply:
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6754) all_10_1 = e3
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6731), (6754) imply:
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6755) $false
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6755) is inconsistent.
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6756) all_63_6 = e2 | all_63_6 = e1 | all_63_6 = e0
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6752) gives:
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6757) all_63_13 = e2
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6672), (6757) imply:
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6758) all_61_13 = e2
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5870), (6758) imply:
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6759) $false
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6759) is inconsistent.
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6760) all_63_13 = e1 | all_63_13 = e0
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6760) gives:
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6761) all_63_13 = e1
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6672), (6761) imply:
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6762) all_61_13 = e1
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5821), (6762) imply:
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6763) ~ (all_10_1 = e1)
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6763) implies:
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6764) ~ (all_10_1 = e1)
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5809), (5823), (6748), (6756), (6764) are
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #288.
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6765) all_63_13 = e0
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6672), (6765) imply:
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6766) all_61_13 = e0
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6746), (6766) imply:
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6767) $false
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6767) is inconsistent.
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | | (6768) all_63_8 = e2 | all_63_8 = e1 | all_63_8 = e0
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6646), (6653), (6725), (6726), (6768) are
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #487.
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | (6769) all_40_1 = e0
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6673), (6769) imply:
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | (6770) ~ (all_61_4 = e0)
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6650), (6769) imply:
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | (6771) ~ (all_61_14 = e0)
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6652), (6769) imply:
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | (6772) ~ (all_10_1 = e0)
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6772) implies:
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | (6773) ~ (all_10_1 = e0)
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (257) gives:
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | | (6774) all_63_14 = e3
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6645), (6774) imply:
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | | (6775) all_61_14 = e3
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6655), (6775) imply:
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | | (6776) $false
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6776) is inconsistent.
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | | (6777) all_63_14 = e2 | all_63_14 = e1 | all_63_14 = e0
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5769) gives:
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | (6778) ~ (all_10_1 = e3)
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (265), (5776), (5809), (5816), (5823), (6645),
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | (6771), (6773), (6777), (6778) are inconsistent by
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #271.
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | (6779) all_10_1 = e3
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5812), (6779) imply:
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | (6780) ~ (all_61_4 = e3)
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (270), (488), (5868), (6675), (6770), (6780) are
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #418.
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | (6781) all_56_1 = e1 | all_56_1 = e0
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (536), (6681), (6685), (6781) are inconsistent by
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | | sub-proof #454.
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | | End of split
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | | End of split
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | |
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | End of split
% 172.61/26.36 | | | | | | | | | | | | | | | | | | |
% 172.61/26.36 | | | | | | | | | | | | | | | | | | Case 2:
% 172.61/26.36 | | | | | | | | | | | | | | | | | | |
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | (6782) all_58_2 = e2
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | (6783) all_58_1 = e1
% 172.61/26.36 | | | | | | | | | | | | | | | | | | |
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (481), (6783) imply:
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | (6784) all_52_1 = e1
% 172.61/26.36 | | | | | | | | | | | | | | | | | | |
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | SIMP: (6784) implies:
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | (6785) all_52_1 = e1
% 172.61/26.36 | | | | | | | | | | | | | | | | | | |
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (478), (6782) imply:
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | (6786) all_52_2 = e2
% 172.61/26.36 | | | | | | | | | | | | | | | | | | |
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | SIMP: (6786) implies:
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | (6787) all_52_2 = e2
% 172.61/26.36 | | | | | | | | | | | | | | | | | | |
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (50), (631), (731), (5838), (5871), (6785),
% 172.61/26.36 | | | | | | | | | | | | | | | | | | | (6787) are inconsistent by sub-proof #292.
% 172.61/26.36 | | | | | | | | | | | | | | | | | | |
% 172.61/26.36 | | | | | | | | | | | | | | | | | | End of split
% 172.61/26.36 | | | | | | | | | | | | | | | | | |
% 172.61/26.36 | | | | | | | | | | | | | | | | | Case 2:
% 172.61/26.36 | | | | | | | | | | | | | | | | | |
% 172.61/26.36 | | | | | | | | | | | | | | | | | | (6788) all_58_1 = e0
% 172.61/26.36 | | | | | | | | | | | | | | | | | |
% 172.61/26.36 | | | | | | | | | | | | | | | | | | REF_CLOSE: (481), (6681), (6788) are inconsistent by
% 172.61/26.36 | | | | | | | | | | | | | | | | | | sub-proof #462.
% 172.61/26.36 | | | | | | | | | | | | | | | | | |
% 172.61/26.36 | | | | | | | | | | | | | | | | | End of split
% 172.61/26.36 | | | | | | | | | | | | | | | | |
% 172.61/26.36 | | | | | | | | | | | | | | | | Case 2:
% 172.61/26.36 | | | | | | | | | | | | | | | | |
% 172.61/26.36 | | | | | | | | | | | | | | | | | (6789) all_58_3 = e2
% 172.61/26.36 | | | | | | | | | | | | | | | | | (6790) all_58_1 = e0
% 172.61/26.36 | | | | | | | | | | | | | | | | |
% 172.61/26.36 | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (50), (225), (231), (475), (481), (663),
% 172.61/26.36 | | | | | | | | | | | | | | | | | (731), (765), (5870), (5886), (6789), (6790) are
% 172.61/26.36 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #437.
% 172.61/26.36 | | | | | | | | | | | | | | | | |
% 172.61/26.36 | | | | | | | | | | | | | | | | End of split
% 172.61/26.36 | | | | | | | | | | | | | | | |
% 172.61/26.36 | | | | | | | | | | | | | | | End of split
% 172.61/26.36 | | | | | | | | | | | | | | |
% 172.61/26.36 | | | | | | | | | | | | | | Case 2:
% 172.61/26.36 | | | | | | | | | | | | | | |
% 172.61/26.36 | | | | | | | | | | | | | | | (6791) all_36_2 = e0
% 172.61/26.36 | | | | | | | | | | | | | | | (6792) op(e3, e0) = all_36_1 & $i(all_36_1) & ( ~
% 172.61/26.36 | | | | | | | | | | | | | | | (all_36_1 = e2) | ( ~ (all_36_0 = e1) & op(e2,
% 172.61/26.36 | | | | | | | | | | | | | | | e3) = all_36_0 & $i(all_36_0)))
% 172.61/26.36 | | | | | | | | | | | | | | |
% 172.61/26.36 | | | | | | | | | | | | | | | ALPHA: (6792) implies:
% 172.61/26.36 | | | | | | | | | | | | | | | (6793) op(e3, e0) = all_36_1
% 172.61/26.36 | | | | | | | | | | | | | | | (6794) ~ (all_36_1 = e2) | ( ~ (all_36_0 = e1) & op(e2,
% 172.61/26.36 | | | | | | | | | | | | | | | e3) = all_36_0 & $i(all_36_0))
% 172.61/26.36 | | | | | | | | | | | | | | |
% 172.61/26.36 | | | | | | | | | | | | | | | COMBINE_EQS: (557), (6791) imply:
% 172.61/26.36 | | | | | | | | | | | | | | | (6795) all_14_2 = e0
% 172.61/26.36 | | | | | | | | | | | | | | |
% 172.61/26.36 | | | | | | | | | | | | | | | COMBINE_EQS: (549), (6795) imply:
% 172.61/26.36 | | | | | | | | | | | | | | | (6796) all_44_2 = e0
% 172.61/26.36 | | | | | | | | | | | | | | |
% 172.61/26.36 | | | | | | | | | | | | | | | REDUCE: (601), (6795) imply:
% 172.61/26.36 | | | | | | | | | | | | | | | (6797) ~ (all_61_8 = e0)
% 172.61/26.36 | | | | | | | | | | | | | | |
% 172.61/26.36 | | | | | | | | | | | | | | | REDUCE: (635), (6795) imply:
% 172.61/26.36 | | | | | | | | | | | | | | | (6798) op(e0, e2) = all_65_1
% 172.61/26.36 | | | | | | | | | | | | | | |
% 172.61/26.36 | | | | | | | | | | | | | | | REDUCE: (636), (6795) imply:
% 172.61/26.36 | | | | | | | | | | | | | | | (6799) op(e0, e1) = all_65_2
% 172.61/26.36 | | | | | | | | | | | | | | |
% 172.61/26.36 | | | | | | | | | | | | | | | REDUCE: (698), (6795) imply:
% 172.61/26.36 | | | | | | | | | | | | | | | (6800) op(e3, e0) = all_65_0
% 172.61/26.36 | | | | | | | | | | | | | | |
% 172.61/26.36 | | | | | | | | | | | | | | | REDUCE: (715), (6795) imply:
% 172.61/26.36 | | | | | | | | | | | | | | | (6801) op(e2, e0) = all_65_16
% 172.61/26.36 | | | | | | | | | | | | | | |
% 172.61/26.36 | | | | | | | | | | | | | | | REDUCE: (732), (6795) imply:
% 172.61/26.36 | | | | | | | | | | | | | | | (6802) op(e1, e0) = all_65_32
% 172.61/26.36 | | | | | | | | | | | | | | |
% 172.61/26.36 | | | | | | | | | | | | | | | REDUCE: (749), (6795) imply:
% 172.61/26.36 | | | | | | | | | | | | | | | (6803) op(e0, e0) = all_65_49
% 172.61/26.36 | | | | | | | | | | | | | | |
% 172.61/26.36 | | | | | | | | | | | | | | | BETA: splitting (113) gives:
% 172.61/26.36 | | | | | | | | | | | | | | |
% 172.61/26.36 | | | | | | | | | | | | | | | Case 1:
% 172.61/26.36 | | | | | | | | | | | | | | | |
% 172.61/26.36 | | | | | | | | | | | | | | | | (6804) ~ (all_44_2 = e0)
% 172.61/26.36 | | | | | | | | | | | | | | | |
% 172.61/26.36 | | | | | | | | | | | | | | | | REDUCE: (6796), (6804) imply:
% 172.61/26.36 | | | | | | | | | | | | | | | | (6805) $false
% 172.61/26.36 | | | | | | | | | | | | | | | |
% 172.61/26.36 | | | | | | | | | | | | | | | | CLOSE: (6805) is inconsistent.
% 172.61/26.36 | | | | | | | | | | | | | | | |
% 172.61/26.36 | | | | | | | | | | | | | | | Case 2:
% 172.61/26.36 | | | | | | | | | | | | | | | |
% 172.61/26.36 | | | | | | | | | | | | | | | | (6806) op(e3, e0) = all_44_1 & $i(all_44_1) & ( ~
% 172.61/26.36 | | | | | | | | | | | | | | | | (all_44_1 = e1) | ( ~ (all_44_0 = e2) & op(e1,
% 172.61/26.36 | | | | | | | | | | | | | | | | e3) = all_44_0 & $i(all_44_0)))
% 172.61/26.36 | | | | | | | | | | | | | | | |
% 172.61/26.36 | | | | | | | | | | | | | | | | ALPHA: (6806) implies:
% 172.61/26.36 | | | | | | | | | | | | | | | | (6807) op(e3, e0) = all_44_1
% 172.61/26.36 | | | | | | | | | | | | | | | |
% 172.61/26.36 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e3, all_65_49, e0, e0,
% 172.61/26.36 | | | | | | | | | | | | | | | | simplifying with (6583), (6803) gives:
% 172.61/26.36 | | | | | | | | | | | | | | | | (6808) all_65_49 = e3
% 172.61/26.36 | | | | | | | | | | | | | | | |
% 172.61/26.36 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_11, all_65_2, e1,
% 172.61/26.36 | | | | | | | | | | | | | | | | e0, simplifying with (224), (6799) gives:
% 172.61/26.36 | | | | | | | | | | | | | | | | (6809) all_65_2 = all_61_11
% 172.61/26.36 | | | | | | | | | | | | | | | |
% 172.61/26.36 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_7, all_65_1, e2,
% 172.61/26.36 | | | | | | | | | | | | | | | | e0, simplifying with (225), (6798) gives:
% 172.61/26.36 | | | | | | | | | | | | | | | | (6810) all_65_1 = all_61_7
% 172.61/26.36 | | | | | | | | | | | | | | | |
% 172.61/26.36 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_14, all_65_32, e0,
% 172.61/26.36 | | | | | | | | | | | | | | | | e1, simplifying with (227), (6802) gives:
% 172.61/26.36 | | | | | | | | | | | | | | | | (6811) all_65_32 = all_61_14
% 172.61/26.36 | | | | | | | | | | | | | | | |
% 172.61/26.36 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_13, all_65_16, e0,
% 172.61/26.36 | | | | | | | | | | | | | | | | e2, simplifying with (231), (6801) gives:
% 172.61/26.36 | | | | | | | | | | | | | | | | (6812) all_65_16 = all_61_13
% 172.61/26.36 | | | | | | | | | | | | | | | |
% 172.61/26.36 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_28_1, all_44_1, e0,
% 172.61/26.36 | | | | | | | | | | | | | | | | e3, simplifying with (6608), (6807) gives:
% 172.61/26.36 | | | | | | | | | | | | | | | | (6813) all_44_1 = all_28_1
% 172.61/26.36 | | | | | | | | | | | | | | | |
% 172.61/26.36 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_44_1, all_65_0, e0,
% 172.61/26.36 | | | | | | | | | | | | | | | | e3, simplifying with (6800), (6807) gives:
% 172.61/26.36 | | | | | | | | | | | | | | | | (6814) all_65_0 = all_44_1
% 172.61/26.36 | | | | | | | | | | | | | | | |
% 172.61/26.36 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_36_1, all_65_0, e0,
% 172.61/26.36 | | | | | | | | | | | | | | | | e3, simplifying with (6793), (6800) gives:
% 172.61/26.36 | | | | | | | | | | | | | | | | (6815) all_65_0 = all_36_1
% 172.61/26.36 | | | | | | | | | | | | | | | |
% 172.61/26.36 | | | | | | | | | | | | | | | | COMBINE_EQS: (6814), (6815) imply:
% 172.61/26.36 | | | | | | | | | | | | | | | | (6816) all_44_1 = all_36_1
% 172.61/26.36 | | | | | | | | | | | | | | | |
% 172.61/26.36 | | | | | | | | | | | | | | | | SIMP: (6816) implies:
% 172.61/26.36 | | | | | | | | | | | | | | | | (6817) all_44_1 = all_36_1
% 172.61/26.36 | | | | | | | | | | | | | | | |
% 172.61/26.36 | | | | | | | | | | | | | | | | COMBINE_EQS: (6813), (6817) imply:
% 172.61/26.36 | | | | | | | | | | | | | | | | (6818) all_36_1 = all_28_1
% 172.61/26.36 | | | | | | | | | | | | | | | |
% 172.61/26.36 | | | | | | | | | | | | | | | | SIMP: (6818) implies:
% 172.61/26.36 | | | | | | | | | | | | | | | | (6819) all_36_1 = all_28_1
% 172.61/26.36 | | | | | | | | | | | | | | | |
% 172.61/26.36 | | | | | | | | | | | | | | | | REDUCE: (6615), (6808) imply:
% 172.61/26.37 | | | | | | | | | | | | | | | | (6820) op(e3, all_28_1) = e3
% 172.61/26.37 | | | | | | | | | | | | | | | |
% 172.61/26.37 | | | | | | | | | | | | | | | | BETA: splitting (157) gives:
% 172.61/26.37 | | | | | | | | | | | | | | | |
% 172.61/26.37 | | | | | | | | | | | | | | | | Case 1:
% 172.61/26.37 | | | | | | | | | | | | | | | | |
% 172.61/26.37 | | | | | | | | | | | | | | | | | (6821) ~ (all_58_3 = e1)
% 172.61/26.37 | | | | | | | | | | | | | | | | |
% 172.61/26.37 | | | | | | | | | | | | | | | | | REDUCE: (475), (6821) imply:
% 172.61/26.37 | | | | | | | | | | | | | | | | | (6822) ~ (all_52_3 = e1)
% 172.61/26.37 | | | | | | | | | | | | | | | | |
% 172.61/26.37 | | | | | | | | | | | | | | | | | BETA: splitting (163) gives:
% 172.61/26.37 | | | | | | | | | | | | | | | | |
% 172.61/26.37 | | | | | | | | | | | | | | | | | Case 1:
% 172.61/26.37 | | | | | | | | | | | | | | | | | |
% 172.61/26.37 | | | | | | | | | | | | | | | | | | (6823) ~ (all_58_1 = e0)
% 172.61/26.37 | | | | | | | | | | | | | | | | | |
% 172.61/26.37 | | | | | | | | | | | | | | | | | | REDUCE: (481), (6823) imply:
% 172.61/26.37 | | | | | | | | | | | | | | | | | | (6824) ~ (all_52_1 = e0)
% 172.61/26.37 | | | | | | | | | | | | | | | | | |
% 172.61/26.37 | | | | | | | | | | | | | | | | | | BETA: splitting (158) gives:
% 172.61/26.37 | | | | | | | | | | | | | | | | | |
% 172.61/26.37 | | | | | | | | | | | | | | | | | | Case 1:
% 172.61/26.37 | | | | | | | | | | | | | | | | | | |
% 172.61/26.37 | | | | | | | | | | | | | | | | | | | (6825) ~ (all_58_3 = e2)
% 172.61/26.37 | | | | | | | | | | | | | | | | | | |
% 172.61/26.37 | | | | | | | | | | | | | | | | | | | REDUCE: (475), (6825) imply:
% 172.61/26.37 | | | | | | | | | | | | | | | | | | | (6826) ~ (all_52_3 = e2)
% 172.61/26.37 | | | | | | | | | | | | | | | | | | |
% 172.61/26.37 | | | | | | | | | | | | | | | | | | | BETA: splitting (159) gives:
% 172.61/26.37 | | | | | | | | | | | | | | | | | | |
% 172.61/26.37 | | | | | | | | | | | | | | | | | | | Case 1:
% 172.61/26.37 | | | | | | | | | | | | | | | | | | | |
% 172.61/26.37 | | | | | | | | | | | | | | | | | | | | (6827) ~ (all_58_3 = e3)
% 172.61/26.37 | | | | | | | | | | | | | | | | | | | |
% 172.61/26.37 | | | | | | | | | | | | | | | | | | | | REDUCE: (475), (6827) imply:
% 172.61/26.37 | | | | | | | | | | | | | | | | | | | | (6828) ~ (all_52_3 = e3)
% 172.61/26.37 | | | | | | | | | | | | | | | | | | | |
% 172.61/26.37 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (50), (148), (539), (765), (851), (6583), (6822),
% 172.61/26.37 | | | | | | | | | | | | | | | | | | | | (6826), (6828) are inconsistent by sub-proof #439.
% 172.61/26.37 | | | | | | | | | | | | | | | | | | | |
% 172.61/26.37 | | | | | | | | | | | | | | | | | | | Case 2:
% 172.61/26.37 | | | | | | | | | | | | | | | | | | | |
% 172.61/26.37 | | | | | | | | | | | | | | | | | | | | (6829) all_58_3 = e3
% 172.61/26.37 | | | | | | | | | | | | | | | | | | | | (6830) all_58_0 = e0
% 172.61/26.37 | | | | | | | | | | | | | | | | | | | |
% 172.61/26.37 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (484), (6830) imply:
% 172.61/26.37 | | | | | | | | | | | | | | | | | | | | (6831) all_52_0 = e0
% 172.61/26.37 | | | | | | | | | | | | | | | | | | | |
% 172.61/26.37 | | | | | | | | | | | | | | | | | | | | SIMP: (6831) implies:
% 172.61/26.37 | | | | | | | | | | | | | | | | | | | | (6832) all_52_0 = e0
% 172.61/26.37 | | | | | | | | | | | | | | | | | | | |
% 172.61/26.37 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (475), (6829) imply:
% 172.61/26.37 | | | | | | | | | | | | | | | | | | | | (6833) all_52_3 = e3
% 172.61/26.37 | | | | | | | | | | | | | | | | | | | |
% 172.61/26.37 | | | | | | | | | | | | | | | | | | | | REDUCE: (628), (6832) imply:
% 172.61/26.37 | | | | | | | | | | | | | | | | | | | | (6834) ~ (all_52_1 = e0)
% 172.61/26.37 | | | | | | | | | | | | | | | | | | | |
% 172.61/26.37 | | | | | | | | | | | | | | | | | | | | REDUCE: (629), (6832) imply:
% 172.61/26.37 | | | | | | | | | | | | | | | | | | | | (6835) ~ (all_52_2 = e0)
% 172.61/26.37 | | | | | | | | | | | | | | | | | | | |
% 172.61/26.37 | | | | | | | | | | | | | | | | | | | | SIMP: (6835) implies:
% 172.61/26.37 | | | | | | | | | | | | | | | | | | | | (6836) ~ (all_52_2 = e0)
% 172.61/26.37 | | | | | | | | | | | | | | | | | | | |
% 172.61/26.37 | | | | | | | | | | | | | | | | | | | | REDUCE: (632), (6833) imply:
% 172.61/26.37 | | | | | | | | | | | | | | | | | | | | (6837) ~ (all_52_1 = e3)
% 172.61/26.37 | | | | | | | | | | | | | | | | | | | |
% 172.61/26.37 | | | | | | | | | | | | | | | | | | | | REDUCE: (633), (6833) imply:
% 172.61/26.37 | | | | | | | | | | | | | | | | | | | | (6838) ~ (all_52_2 = e3)
% 172.61/26.37 | | | | | | | | | | | | | | | | | | | |
% 172.61/26.37 | | | | | | | | | | | | | | | | | | | | REDUCE: (714), (6832) imply:
% 172.61/26.37 | | | | | | | | | | | | | | | | | | | | (6839) op(e3, e0) = unit
% 172.61/26.37 | | | | | | | | | | | | | | | | | | | |
% 172.61/26.37 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_28_1, unit, e0, e3,
% 172.61/26.37 | | | | | | | | | | | | | | | | | | | | simplifying with (6608), (6839) gives:
% 172.61/26.37 | | | | | | | | | | | | | | | | | | | | (6840) all_28_1 = unit
% 172.61/26.37 | | | | | | | | | | | | | | | | | | | |
% 172.61/26.37 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6819), (6840) imply:
% 172.61/26.37 | | | | | | | | | | | | | | | | | | | | (6841) all_36_1 = unit
% 172.61/26.37 | | | | | | | | | | | | | | | | | | | |
% 172.61/26.37 | | | | | | | | | | | | | | | | | | | | REDUCE: (6600), (6840) imply:
% 172.61/26.37 | | | | | | | | | | | | | | | | | | | | (6842) ~ (all_61_8 = unit)
% 172.61/26.37 | | | | | | | | | | | | | | | | | | | |
% 172.61/26.37 | | | | | | | | | | | | | | | | | | | | REDUCE: (6602), (6840) imply:
% 172.61/26.37 | | | | | | | | | | | | | | | | | | | | (6843) op(unit, e1) = all_65_53
% 172.61/26.37 | | | | | | | | | | | | | | | | | | | |
% 172.61/26.37 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e1, all_65_53, e1, unit,
% 172.61/26.37 | | | | | | | | | | | | | | | | | | | | simplifying with (8), (6843) gives:
% 172.61/26.37 | | | | | | | | | | | | | | | | | | | | (6844) all_65_53 = e1
% 172.61/26.37 | | | | | | | | | | | | | | | | | | | |
% 172.61/26.37 | | | | | | | | | | | | | | | | | | | | BETA: splitting (164) gives:
% 172.61/26.37 | | | | | | | | | | | | | | | | | | | |
% 172.61/26.37 | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.61/26.37 | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.37 | | | | | | | | | | | | | | | | | | | | | (6845) ~ (all_58_1 = e1)
% 172.61/26.37 | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.37 | | | | | | | | | | | | | | | | | | | | | REDUCE: (481), (6845) imply:
% 172.61/26.37 | | | | | | | | | | | | | | | | | | | | | (6846) ~ (all_52_1 = e1)
% 172.61/26.37 | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.37 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (149) gives:
% 172.61/26.37 | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.37 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.61/26.37 | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.37 | | | | | | | | | | | | | | | | | | | | | | (6847) all_56_2 = e3
% 172.61/26.37 | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.37 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (538), (6847) imply:
% 172.61/26.37 | | | | | | | | | | | | | | | | | | | | | | (6848) all_52_2 = e3
% 172.61/26.37 | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.37 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6838), (6848) imply:
% 172.61/26.37 | | | | | | | | | | | | | | | | | | | | | | (6849) $false
% 172.61/26.37 | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.37 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6849) is inconsistent.
% 172.61/26.37 | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.37 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.61/26.37 | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.37 | | | | | | | | | | | | | | | | | | | | | | (6850) all_56_2 = e2 | all_56_2 = e1 | all_56_2 = e0
% 172.61/26.37 | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.37 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (150) gives:
% 172.61/26.37 | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.37 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.61/26.37 | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.37 | | | | | | | | | | | | | | | | | | | | | | | (6851) all_56_1 = e3
% 172.61/26.37 | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.37 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (536), (6837), (6851) are inconsistent by
% 172.61/26.37 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #455.
% 172.61/26.37 | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.37 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.61/26.37 | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.37 | | | | | | | | | | | | | | | | | | | | | | | (6852) all_56_1 = e2 | all_56_1 = e1 | all_56_1 = e0
% 172.61/26.37 | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.37 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6852) gives:
% 172.61/26.37 | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.37 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.61/26.37 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.37 | | | | | | | | | | | | | | | | | | | | | | | | (6853) all_56_1 = e2
% 172.61/26.37 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.37 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (536), (6853) imply:
% 172.61/26.37 | | | | | | | | | | | | | | | | | | | | | | | | (6854) all_52_1 = e2
% 172.61/26.37 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.37 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6854) implies:
% 172.61/26.37 | | | | | | | | | | | | | | | | | | | | | | | | (6855) all_52_1 = e2
% 172.61/26.37 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.37 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (631), (6855) imply:
% 172.61/26.37 | | | | | | | | | | | | | | | | | | | | | | | | (6856) ~ (all_52_2 = e2)
% 172.61/26.37 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.37 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6856) implies:
% 172.61/26.37 | | | | | | | | | | | | | | | | | | | | | | | | (6857) ~ (all_52_2 = e2)
% 172.61/26.37 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.37 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (731), (6855) imply:
% 172.61/26.37 | | | | | | | | | | | | | | | | | | | | | | | | (6858) op(e2, e2) = unit
% 172.61/26.37 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.37 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6850) gives:
% 172.61/26.37 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.37 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.61/26.37 | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | (6859) all_56_2 = e2
% 172.61/26.37 | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (538), (6857), (6859) are inconsistent by
% 172.61/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #481.
% 172.61/26.37 | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.37 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.61/26.37 | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | (6860) all_56_2 = e1 | all_56_2 = e0
% 172.61/26.37 | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6860) gives:
% 172.61/26.37 | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.61/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e2, unit, e2, e2,
% 172.61/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (5877), (6858) gives:
% 172.61/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | (6861) unit = e2
% 172.61/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6841), (6861) imply:
% 172.61/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | (6862) all_36_1 = e2
% 172.61/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8), (6861) imply:
% 172.61/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | (6863) op(e2, e1) = e1
% 172.61/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6), (6861) imply:
% 172.61/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | (6864) op(e3, e2) = e3
% 172.61/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (50), (201), (237), (269), (489), (5773), (5817),
% 172.61/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | (5838), (6794), (6797), (6862), (6863), (6864) are
% 172.61/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #277.
% 172.61/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.61/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | (6865) all_56_2 = e0
% 172.61/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (538), (6836), (6865) are inconsistent by
% 172.61/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #480.
% 172.61/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.61/26.37 | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.37 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.61/26.37 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.37 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.61/26.37 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.37 | | | | | | | | | | | | | | | | | | | | | | | | (6866) all_56_1 = e1 | all_56_1 = e0
% 172.61/26.37 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.37 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (536), (6824), (6846), (6866) are inconsistent by
% 172.61/26.37 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #454.
% 172.61/26.37 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.37 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.61/26.37 | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.37 | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.61/26.37 | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.37 | | | | | | | | | | | | | | | | | | | | | End of split
% 172.61/26.37 | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.37 | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.61/26.37 | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.37 | | | | | | | | | | | | | | | | | | | | | (6867) all_58_2 = e2
% 172.61/26.37 | | | | | | | | | | | | | | | | | | | | | (6868) all_58_1 = e1
% 172.61/26.37 | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.37 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (481), (6868) imply:
% 172.61/26.37 | | | | | | | | | | | | | | | | | | | | | (6869) all_52_1 = e1
% 172.61/26.37 | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.37 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (478), (6867) imply:
% 172.61/26.37 | | | | | | | | | | | | | | | | | | | | | (6870) all_52_2 = e2
% 172.61/26.37 | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.37 | | | | | | | | | | | | | | | | | | | | | SIMP: (6870) implies:
% 172.61/26.37 | | | | | | | | | | | | | | | | | | | | | (6871) all_52_2 = e2
% 172.61/26.37 | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.37 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (50), (631), (731), (5838), (5871), (6869),
% 172.61/26.37 | | | | | | | | | | | | | | | | | | | | | (6871) are inconsistent by sub-proof #292.
% 172.61/26.37 | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.37 | | | | | | | | | | | | | | | | | | | | End of split
% 172.61/26.37 | | | | | | | | | | | | | | | | | | | |
% 172.61/26.37 | | | | | | | | | | | | | | | | | | | End of split
% 172.61/26.37 | | | | | | | | | | | | | | | | | | |
% 172.61/26.37 | | | | | | | | | | | | | | | | | | Case 2:
% 172.61/26.37 | | | | | | | | | | | | | | | | | | |
% 172.61/26.37 | | | | | | | | | | | | | | | | | | | (6872) all_58_1 = e0
% 172.61/26.37 | | | | | | | | | | | | | | | | | | |
% 172.61/26.37 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (481), (6824), (6872) are inconsistent by
% 172.61/26.37 | | | | | | | | | | | | | | | | | | | sub-proof #462.
% 172.61/26.37 | | | | | | | | | | | | | | | | | | |
% 172.61/26.37 | | | | | | | | | | | | | | | | | | End of split
% 172.61/26.37 | | | | | | | | | | | | | | | | | |
% 172.61/26.37 | | | | | | | | | | | | | | | | | Case 2:
% 172.61/26.37 | | | | | | | | | | | | | | | | | |
% 172.61/26.37 | | | | | | | | | | | | | | | | | | (6873) all_58_3 = e2
% 172.61/26.37 | | | | | | | | | | | | | | | | | | (6874) all_58_1 = e0
% 172.61/26.37 | | | | | | | | | | | | | | | | | |
% 172.61/26.37 | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (50), (225), (231), (475), (481), (663),
% 172.61/26.37 | | | | | | | | | | | | | | | | | | (731), (765), (5870), (5886), (6873), (6874) are
% 172.61/26.37 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #437.
% 172.61/26.37 | | | | | | | | | | | | | | | | | |
% 172.61/26.37 | | | | | | | | | | | | | | | | | End of split
% 172.61/26.37 | | | | | | | | | | | | | | | | |
% 172.61/26.37 | | | | | | | | | | | | | | | | Case 2:
% 172.61/26.37 | | | | | | | | | | | | | | | | |
% 172.61/26.37 | | | | | | | | | | | | | | | | | (6875) all_58_3 = e1
% 172.61/26.37 | | | | | | | | | | | | | | | | | (6876) all_58_2 = e0
% 172.61/26.37 | | | | | | | | | | | | | | | | |
% 172.61/26.37 | | | | | | | | | | | | | | | | | COMBINE_EQS: (478), (6876) imply:
% 172.61/26.37 | | | | | | | | | | | | | | | | | (6877) all_52_2 = e0
% 172.61/26.37 | | | | | | | | | | | | | | | | |
% 172.61/26.37 | | | | | | | | | | | | | | | | | SIMP: (6877) implies:
% 172.61/26.37 | | | | | | | | | | | | | | | | | (6878) all_52_2 = e0
% 172.61/26.37 | | | | | | | | | | | | | | | | |
% 172.61/26.37 | | | | | | | | | | | | | | | | | COMBINE_EQS: (475), (6875) imply:
% 172.61/26.37 | | | | | | | | | | | | | | | | | (6879) all_52_3 = e1
% 172.61/26.37 | | | | | | | | | | | | | | | | |
% 172.61/26.37 | | | | | | | | | | | | | | | | | REDUCE: (748), (6878) imply:
% 172.61/26.37 | | | | | | | | | | | | | | | | | (6880) op(e1, e0) = unit
% 172.61/26.37 | | | | | | | | | | | | | | | | |
% 172.61/26.37 | | | | | | | | | | | | | | | | | REDUCE: (765), (6879) imply:
% 172.61/26.37 | | | | | | | | | | | | | | | | | (6881) op(e0, e1) = unit
% 172.61/26.37 | | | | | | | | | | | | | | | | |
% 172.61/26.37 | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (50), (224), (227), (693), (760), (6605),
% 172.61/26.37 | | | | | | | | | | | | | | | | | (6609), (6797), (6880), (6881) are inconsistent by
% 172.61/26.37 | | | | | | | | | | | | | | | | | sub-proof #427.
% 172.61/26.37 | | | | | | | | | | | | | | | | |
% 172.61/26.37 | | | | | | | | | | | | | | | | End of split
% 172.61/26.37 | | | | | | | | | | | | | | | |
% 172.61/26.37 | | | | | | | | | | | | | | | End of split
% 172.61/26.37 | | | | | | | | | | | | | | |
% 172.61/26.37 | | | | | | | | | | | | | | End of split
% 172.61/26.37 | | | | | | | | | | | | | |
% 172.61/26.37 | | | | | | | | | | | | | End of split
% 172.61/26.37 | | | | | | | | | | | | |
% 172.61/26.37 | | | | | | | | | | | | Case 2:
% 172.61/26.37 | | | | | | | | | | | | |
% 172.61/26.37 | | | | | | | | | | | | | (6882) all_63_5 = e1 | all_63_5 = e0
% 172.61/26.37 | | | | | | | | | | | | |
% 172.61/26.37 | | | | | | | | | | | | | REF_CLOSE: (587), (5857), (5861), (6882) are inconsistent by
% 172.61/26.37 | | | | | | | | | | | | | sub-proof #524.
% 172.61/26.37 | | | | | | | | | | | | |
% 172.61/26.37 | | | | | | | | | | | | End of split
% 172.61/26.37 | | | | | | | | | | | |
% 172.61/26.37 | | | | | | | | | | | End of split
% 172.61/26.37 | | | | | | | | | | |
% 172.61/26.37 | | | | | | | | | | Case 2:
% 172.61/26.37 | | | | | | | | | | |
% 172.61/26.37 | | | | | | | | | | | (6883) all_22_2 = e0
% 172.61/26.37 | | | | | | | | | | | (6884) op(e2, e0) = all_22_1 & $i(all_22_1) & ( ~
% 172.61/26.37 | | | | | | | | | | | (all_22_1 = e1) | ( ~ (all_22_0 = e3) & op(e1,
% 172.61/26.37 | | | | | | | | | | | e2) = all_22_0 & $i(all_22_0)))
% 172.61/26.37 | | | | | | | | | | |
% 172.61/26.37 | | | | | | | | | | | ALPHA: (6884) implies:
% 172.61/26.37 | | | | | | | | | | | (6885) op(e2, e0) = all_22_1
% 172.61/26.37 | | | | | | | | | | | (6886) ~ (all_22_1 = e1) | ( ~ (all_22_0 = e3) & op(e1,
% 172.61/26.37 | | | | | | | | | | | e2) = all_22_0 & $i(all_22_0))
% 172.61/26.37 | | | | | | | | | | |
% 172.61/26.37 | | | | | | | | | | | COMBINE_EQS: (449), (6883) imply:
% 172.61/26.37 | | | | | | | | | | | (6887) all_6_2 = e0
% 172.61/26.37 | | | | | | | | | | |
% 172.61/26.37 | | | | | | | | | | | SIMP: (6887) implies:
% 172.61/26.37 | | | | | | | | | | | (6888) all_6_2 = e0
% 172.61/26.37 | | | | | | | | | | |
% 172.61/26.37 | | | | | | | | | | | COMBINE_EQS: (580), (6888) imply:
% 172.61/26.37 | | | | | | | | | | | (6889) all_38_2 = e0
% 172.61/26.37 | | | | | | | | | | |
% 172.61/26.37 | | | | | | | | | | | REDUCE: (604), (6888) imply:
% 172.61/26.37 | | | | | | | | | | | (6890) ~ (all_61_1 = e0)
% 172.61/26.37 | | | | | | | | | | |
% 172.61/26.37 | | | | | | | | | | | REDUCE: (615), (6888) imply:
% 172.61/26.37 | | | | | | | | | | | (6891) ~ (all_61_13 = e0)
% 172.61/26.37 | | | | | | | | | | |
% 172.61/26.37 | | | | | | | | | | | REDUCE: (5822), (6888) imply:
% 172.61/26.37 | | | | | | | | | | | (6892) ~ (all_10_1 = e0)
% 172.61/26.37 | | | | | | | | | | |
% 172.61/26.37 | | | | | | | | | | | REDUCE: (5857), (6888) imply:
% 172.61/26.37 | | | | | | | | | | | (6893) ~ (e1 = e0)
% 172.61/26.37 | | | | | | | | | | |
% 172.61/26.37 | | | | | | | | | | | REDUCE: (654), (6888) imply:
% 172.61/26.37 | | | | | | | | | | | (6894) op(e0, e3) = all_65_20
% 172.61/26.37 | | | | | | | | | | |
% 172.61/26.37 | | | | | | | | | | | REDUCE: (655), (6888) imply:
% 172.61/26.37 | | | | | | | | | | | (6895) op(e0, e2) = all_65_21
% 172.61/26.37 | | | | | | | | | | |
% 172.61/26.37 | | | | | | | | | | | REDUCE: (5853), (6888) imply:
% 172.61/26.37 | | | | | | | | | | | (6896) op(e0, e1) = all_65_37
% 172.61/26.37 | | | | | | | | | | |
% 172.61/26.37 | | | | | | | | | | | REDUCE: (657), (6888) imply:
% 172.61/26.37 | | | | | | | | | | | (6897) op(e0, e0) = all_65_23
% 172.61/26.37 | | | | | | | | | | |
% 172.61/26.37 | | | | | | | | | | | REDUCE: (703), (6888) imply:
% 172.61/26.37 | | | | | | | | | | | (6898) op(e3, e0) = all_65_5
% 172.61/26.37 | | | | | | | | | | |
% 172.61/26.37 | | | | | | | | | | | REDUCE: (720), (6888) imply:
% 172.61/26.37 | | | | | | | | | | | (6899) op(e2, e0) = all_65_21
% 172.61/26.37 | | | | | | | | | | |
% 172.61/26.37 | | | | | | | | | | | REDUCE: (55), (6888) imply:
% 172.61/26.37 | | | | | | | | | | | (6900) op(e2, e2) = e0
% 172.61/26.37 | | | | | | | | | | |
% 172.61/26.37 | | | | | | | | | | | REDUCE: (737), (6888) imply:
% 172.61/26.37 | | | | | | | | | | | (6901) op(e1, e0) = all_65_37
% 172.61/26.37 | | | | | | | | | | |
% 172.61/26.37 | | | | | | | | | | | REDUCE: (754), (6888) imply:
% 172.61/26.37 | | | | | | | | | | | (6902) op(e0, e0) = all_65_59
% 172.61/26.37 | | | | | | | | | | |
% 172.61/26.37 | | | | | | | | | | | BETA: splitting (104) gives:
% 172.61/26.37 | | | | | | | | | | |
% 172.61/26.37 | | | | | | | | | | | Case 1:
% 172.61/26.37 | | | | | | | | | | | |
% 172.61/26.37 | | | | | | | | | | | | (6903) ~ (all_38_2 = e0)
% 172.61/26.37 | | | | | | | | | | | |
% 172.61/26.37 | | | | | | | | | | | | REDUCE: (6889), (6903) imply:
% 172.61/26.37 | | | | | | | | | | | | (6904) $false
% 172.61/26.37 | | | | | | | | | | | |
% 172.61/26.37 | | | | | | | | | | | | CLOSE: (6904) is inconsistent.
% 172.61/26.37 | | | | | | | | | | | |
% 172.61/26.37 | | | | | | | | | | | Case 2:
% 172.61/26.37 | | | | | | | | | | | |
% 172.61/26.37 | | | | | | | | | | | | (6905) op(e2, e0) = all_38_1 & $i(all_38_1) & ( ~
% 172.61/26.37 | | | | | | | | | | | | (all_38_1 = e3) | ( ~ (all_38_0 = e1) & op(e3,
% 172.61/26.37 | | | | | | | | | | | | e2) = all_38_0 & $i(all_38_0)))
% 172.61/26.37 | | | | | | | | | | | |
% 172.61/26.37 | | | | | | | | | | | | ALPHA: (6905) implies:
% 172.61/26.37 | | | | | | | | | | | | (6906) op(e2, e0) = all_38_1
% 172.61/26.37 | | | | | | | | | | | |
% 172.61/26.37 | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_20_2, all_65_23, e0,
% 172.61/26.37 | | | | | | | | | | | | e0, simplifying with (76), (6897) gives:
% 172.61/26.37 | | | | | | | | | | | | (6907) all_65_23 = all_20_2
% 172.61/26.37 | | | | | | | | | | | |
% 172.61/26.37 | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_59, all_65_23, e0,
% 172.61/26.37 | | | | | | | | | | | | e0, simplifying with (6897), (6902) gives:
% 172.61/26.37 | | | | | | | | | | | | (6908) all_65_23 = all_65_59
% 172.61/26.37 | | | | | | | | | | | |
% 172.61/26.37 | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_11, all_65_37, e1,
% 172.61/26.37 | | | | | | | | | | | | e0, simplifying with (224), (6896) gives:
% 172.61/26.37 | | | | | | | | | | | | (6909) all_65_37 = all_61_11
% 172.61/26.37 | | | | | | | | | | | |
% 172.61/26.37 | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_7, all_65_21, e2,
% 172.61/26.37 | | | | | | | | | | | | e0, simplifying with (225), (6895) gives:
% 172.61/26.37 | | | | | | | | | | | | (6910) all_65_21 = all_61_7
% 172.61/26.37 | | | | | | | | | | | |
% 172.61/26.37 | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_3, all_65_20, e3,
% 172.61/26.37 | | | | | | | | | | | | e0, simplifying with (226), (6894) gives:
% 172.61/26.37 | | | | | | | | | | | | (6911) all_65_20 = all_61_3
% 172.61/26.37 | | | | | | | | | | | |
% 172.61/26.37 | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_14, all_65_37, e0,
% 172.61/26.37 | | | | | | | | | | | | e1, simplifying with (227), (6901) gives:
% 172.61/26.37 | | | | | | | | | | | | (6912) all_65_37 = all_61_14
% 172.61/26.37 | | | | | | | | | | | |
% 172.61/26.37 | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_13, all_22_1, e0,
% 172.61/26.37 | | | | | | | | | | | | e2, simplifying with (231), (6885) gives:
% 172.61/26.37 | | | | | | | | | | | | (6913) all_61_13 = all_22_1
% 172.61/26.37 | | | | | | | | | | | |
% 172.61/26.37 | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_13, all_65_21, e0,
% 172.61/26.37 | | | | | | | | | | | | e2, simplifying with (231), (6899) gives:
% 172.61/26.37 | | | | | | | | | | | | (6914) all_65_21 = all_61_13
% 172.61/26.37 | | | | | | | | | | | |
% 172.61/26.37 | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_38_1, all_65_21, e0,
% 172.61/26.37 | | | | | | | | | | | | e2, simplifying with (6899), (6906) gives:
% 172.61/26.37 | | | | | | | | | | | | (6915) all_65_21 = all_38_1
% 172.61/26.37 | | | | | | | | | | | |
% 172.61/26.37 | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_12, all_65_5, e0,
% 172.61/26.37 | | | | | | | | | | | | e3, simplifying with (235), (6898) gives:
% 172.61/26.37 | | | | | | | | | | | | (6916) all_65_5 = all_61_12
% 172.61/26.37 | | | | | | | | | | | |
% 172.61/26.37 | | | | | | | | | | | | COMBINE_EQS: (6910), (6915) imply:
% 172.61/26.37 | | | | | | | | | | | | (6917) all_61_7 = all_38_1
% 172.61/26.37 | | | | | | | | | | | |
% 172.61/26.37 | | | | | | | | | | | | SIMP: (6917) implies:
% 172.61/26.37 | | | | | | | | | | | | (6918) all_61_7 = all_38_1
% 172.61/26.37 | | | | | | | | | | | |
% 172.61/26.37 | | | | | | | | | | | | COMBINE_EQS: (6914), (6915) imply:
% 172.61/26.37 | | | | | | | | | | | | (6919) all_61_13 = all_38_1
% 172.61/26.37 | | | | | | | | | | | |
% 172.61/26.37 | | | | | | | | | | | | SIMP: (6919) implies:
% 172.61/26.37 | | | | | | | | | | | | (6920) all_61_13 = all_38_1
% 172.61/26.37 | | | | | | | | | | | |
% 172.61/26.37 | | | | | | | | | | | | COMBINE_EQS: (6907), (6908) imply:
% 172.61/26.37 | | | | | | | | | | | | (6921) all_65_59 = all_20_2
% 172.61/26.37 | | | | | | | | | | | |
% 172.61/26.37 | | | | | | | | | | | | COMBINE_EQS: (6909), (6912) imply:
% 172.61/26.37 | | | | | | | | | | | | (6922) all_61_11 = all_61_14
% 172.61/26.37 | | | | | | | | | | | |
% 172.61/26.37 | | | | | | | | | | | | COMBINE_EQS: (6913), (6920) imply:
% 172.61/26.37 | | | | | | | | | | | | (6923) all_38_1 = all_22_1
% 172.61/26.37 | | | | | | | | | | | |
% 172.61/26.37 | | | | | | | | | | | | SIMP: (6923) implies:
% 172.61/26.37 | | | | | | | | | | | | (6924) all_38_1 = all_22_1
% 172.61/26.37 | | | | | | | | | | | |
% 172.61/26.37 | | | | | | | | | | | | COMBINE_EQS: (6918), (6924) imply:
% 172.61/26.37 | | | | | | | | | | | | (6925) all_61_7 = all_22_1
% 172.61/26.37 | | | | | | | | | | | |
% 172.61/26.37 | | | | | | | | | | | | COMBINE_EQS: (510), (6922) imply:
% 172.61/26.37 | | | | | | | | | | | | (6926) all_63_14 = all_61_14
% 172.61/26.37 | | | | | | | | | | | |
% 172.61/26.37 | | | | | | | | | | | | COMBINE_EQS: (508), (6925) imply:
% 172.61/26.37 | | | | | | | | | | | | (6927) all_63_13 = all_22_1
% 172.61/26.37 | | | | | | | | | | | |
% 172.61/26.37 | | | | | | | | | | | | COMBINE_EQS: (498), (6913) imply:
% 172.61/26.37 | | | | | | | | | | | | (6928) all_63_7 = all_22_1
% 172.61/26.37 | | | | | | | | | | | |
% 172.61/26.37 | | | | | | | | | | | | REDUCE: (212), (6913) imply:
% 172.61/26.37 | | | | | | | | | | | | (6929) ~ (all_61_1 = all_22_1)
% 172.61/26.37 | | | | | | | | | | | |
% 172.61/26.37 | | | | | | | | | | | | REDUCE: (207), (6925) imply:
% 172.61/26.37 | | | | | | | | | | | | (6930) ~ (all_61_3 = all_22_1)
% 172.61/26.37 | | | | | | | | | | | |
% 172.61/26.37 | | | | | | | | | | | | REDUCE: (206), (6922) imply:
% 172.61/26.37 | | | | | | | | | | | | (6931) ~ (all_61_3 = all_61_14)
% 172.61/26.37 | | | | | | | | | | | |
% 172.61/26.37 | | | | | | | | | | | | REDUCE: (188), (6922) imply:
% 172.61/26.37 | | | | | | | | | | | | (6932) ~ (all_61_8 = all_61_14)
% 172.61/26.37 | | | | | | | | | | | |
% 172.61/26.37 | | | | | | | | | | | | REDUCE: (180), (6913) imply:
% 172.61/26.37 | | | | | | | | | | | | (6933) ~ (all_61_12 = all_22_1)
% 172.61/26.37 | | | | | | | | | | | |
% 172.61/26.37 | | | | | | | | | | | | REDUCE: (177), (6913) imply:
% 172.61/26.37 | | | | | | | | | | | | (6934) ~ (all_61_14 = all_22_1)
% 172.61/26.37 | | | | | | | | | | | |
% 172.61/26.37 | | | | | | | | | | | | SIMP: (6934) implies:
% 172.61/26.37 | | | | | | | | | | | | (6935) ~ (all_61_14 = all_22_1)
% 172.61/26.37 | | | | | | | | | | | |
% 172.61/26.37 | | | | | | | | | | | | REDUCE: (626), (6913) imply:
% 172.61/26.37 | | | | | | | | | | | | (6936) ~ (all_22_1 = all_20_2)
% 172.61/26.37 | | | | | | | | | | | |
% 172.61/26.37 | | | | | | | | | | | | REDUCE: (5821), (6913) imply:
% 172.61/26.37 | | | | | | | | | | | | (6937) ~ (all_22_1 = all_10_1)
% 172.61/26.37 | | | | | | | | | | | |
% 172.61/26.37 | | | | | | | | | | | | REDUCE: (6891), (6913) imply:
% 172.61/26.37 | | | | | | | | | | | | (6938) ~ (all_22_1 = e0)
% 172.61/26.37 | | | | | | | | | | | |
% 172.61/26.37 | | | | | | | | | | | | REDUCE: (639), (6916) imply:
% 172.61/26.37 | | | | | | | | | | | | (6939) op(all_61_4, e2) = all_61_12
% 172.61/26.37 | | | | | | | | | | | |
% 172.61/26.37 | | | | | | | | | | | | REDUCE: (687), (6921), (6925) imply:
% 172.61/26.37 | | | | | | | | | | | | (6940) op(all_22_1, e2) = all_20_2
% 172.61/26.37 | | | | | | | | | | | |
% 172.61/26.37 | | | | | | | | | | | | REDUCE: (5852), (6925) imply:
% 172.61/26.37 | | | | | | | | | | | | (6941) op(all_22_1, e1) = all_65_67
% 172.61/26.37 | | | | | | | | | | | |
% 172.61/26.37 | | | | | | | | | | | | REDUCE: (689), (6925) imply:
% 172.61/26.37 | | | | | | | | | | | | (6942) op(all_22_1, e0) = all_65_63
% 172.61/26.37 | | | | | | | | | | | |
% 172.61/26.37 | | | | | | | | | | | | REDUCE: (5833), (6922), (6925) imply:
% 172.61/26.37 | | | | | | | | | | | | (6943) op(all_61_14, e1) = all_22_1
% 172.61/26.37 | | | | | | | | | | | |
% 172.61/26.37 | | | | | | | | | | | | REDUCE: (693), (6922) imply:
% 172.61/26.37 | | | | | | | | | | | | (6944) op(all_61_14, e0) = all_65_71
% 172.61/26.37 | | | | | | | | | | | |
% 172.61/26.37 | | | | | | | | | | | | REDUCE: (663), (6913) imply:
% 172.61/26.37 | | | | | | | | | | | | (6945) op(all_22_1, e2) = all_65_29
% 172.61/26.37 | | | | | | | | | | | |
% 172.61/26.37 | | | | | | | | | | | | REDUCE: (664), (6913) imply:
% 172.61/26.37 | | | | | | | | | | | | (6946) op(all_22_1, e1) = all_65_30
% 172.61/26.37 | | | | | | | | | | | |
% 172.61/26.37 | | | | | | | | | | | | REDUCE: (665), (6913) imply:
% 172.61/26.38 | | | | | | | | | | | | (6947) op(all_22_1, e0) = all_65_31
% 172.61/26.38 | | | | | | | | | | | |
% 172.61/26.38 | | | | | | | | | | | | REDUCE: (719), (6911) imply:
% 172.61/26.38 | | | | | | | | | | | | (6948) op(e2, all_61_1) = all_61_3
% 172.61/26.38 | | | | | | | | | | | |
% 172.61/26.38 | | | | | | | | | | | | REDUCE: (729), (6922) imply:
% 172.61/26.38 | | | | | | | | | | | | (6949) op(e2, all_61_14) = all_65_30
% 172.61/26.38 | | | | | | | | | | | |
% 172.61/26.38 | | | | | | | | | | | | REDUCE: (5855), (6912) imply:
% 172.61/26.38 | | | | | | | | | | | | (6950) op(e2, all_10_1) = all_61_14
% 172.61/26.38 | | | | | | | | | | | |
% 172.61/26.38 | | | | | | | | | | | | REDUCE: (745), (6925) imply:
% 172.61/26.38 | | | | | | | | | | | | (6951) op(e1, all_22_1) = all_65_45
% 172.61/26.38 | | | | | | | | | | | |
% 172.61/26.38 | | | | | | | | | | | | REDUCE: (746), (6922) imply:
% 172.61/26.38 | | | | | | | | | | | | (6952) op(e1, all_61_14) = all_65_46
% 172.61/26.38 | | | | | | | | | | | |
% 172.61/26.38 | | | | | | | | | | | | REDUCE: (739), (6913) imply:
% 172.61/26.38 | | | | | | | | | | | | (6953) op(e1, all_22_1) = all_65_39
% 172.61/26.38 | | | | | | | | | | | |
% 172.61/26.38 | | | | | | | | | | | | REDUCE: (762), (6925) imply:
% 172.61/26.38 | | | | | | | | | | | | (6954) op(e0, all_22_1) = all_65_75
% 172.61/26.38 | | | | | | | | | | | |
% 172.61/26.38 | | | | | | | | | | | | REDUCE: (763), (6922) imply:
% 172.61/26.38 | | | | | | | | | | | | (6955) op(e0, all_61_14) = all_65_77
% 172.61/26.38 | | | | | | | | | | | |
% 172.61/26.38 | | | | | | | | | | | | REDUCE: (756), (6913) imply:
% 172.61/26.38 | | | | | | | | | | | | (6956) op(e0, all_22_1) = all_65_63
% 172.61/26.38 | | | | | | | | | | | |
% 172.61/26.38 | | | | | | | | | | | | REDUCE: (224), (6922) imply:
% 172.61/26.38 | | | | | | | | | | | | (6957) op(e0, e1) = all_61_14
% 172.61/26.38 | | | | | | | | | | | |
% 172.61/26.38 | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_75, all_65_63,
% 172.61/26.38 | | | | | | | | | | | | all_22_1, e0, simplifying with (6954), (6956)
% 172.61/26.38 | | | | | | | | | | | | gives:
% 172.61/26.38 | | | | | | | | | | | | (6958) all_65_63 = all_65_75
% 172.61/26.38 | | | | | | | | | | | |
% 172.61/26.38 | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_71, all_65_77,
% 172.61/26.38 | | | | | | | | | | | | all_61_14, e0, simplifying with (760), (6955)
% 172.61/26.38 | | | | | | | | | | | | gives:
% 172.61/26.38 | | | | | | | | | | | | (6959) all_65_71 = all_65_77
% 172.61/26.38 | | | | | | | | | | | |
% 172.61/26.38 | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_45, all_65_39,
% 172.61/26.38 | | | | | | | | | | | | all_22_1, e1, simplifying with (6951), (6953)
% 172.61/26.38 | | | | | | | | | | | | gives:
% 172.61/26.38 | | | | | | | | | | | | (6960) all_65_39 = all_65_45
% 172.61/26.38 | | | | | | | | | | | |
% 172.61/26.38 | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_39, all_65_30,
% 172.61/26.38 | | | | | | | | | | | | all_61_14, e2, simplifying with (5854), (6949)
% 172.61/26.38 | | | | | | | | | | | | gives:
% 172.61/26.38 | | | | | | | | | | | | (6961) all_65_30 = all_65_39
% 172.61/26.38 | | | | | | | | | | | |
% 172.61/26.38 | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_63, all_65_31, e0,
% 172.61/26.38 | | | | | | | | | | | | all_22_1, simplifying with (6942), (6947) gives:
% 172.61/26.38 | | | | | | | | | | | | (6962) all_65_31 = all_65_63
% 172.61/26.38 | | | | | | | | | | | |
% 172.61/26.38 | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_67, all_65_30, e1,
% 172.61/26.38 | | | | | | | | | | | | all_22_1, simplifying with (6941), (6946) gives:
% 172.61/26.38 | | | | | | | | | | | | (6963) all_65_30 = all_65_67
% 172.61/26.38 | | | | | | | | | | | |
% 172.61/26.38 | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_20_2, all_65_29, e2,
% 172.61/26.38 | | | | | | | | | | | | all_22_1, simplifying with (6940), (6945) gives:
% 172.61/26.38 | | | | | | | | | | | | (6964) all_65_29 = all_20_2
% 172.61/26.38 | | | | | | | | | | | |
% 172.61/26.38 | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_47, all_65_71, e0,
% 172.61/26.38 | | | | | | | | | | | | all_61_14, simplifying with (681), (6944) gives:
% 172.61/26.38 | | | | | | | | | | | | (6965) all_65_47 = all_65_71
% 172.61/26.38 | | | | | | | | | | | |
% 172.61/26.38 | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_46, all_22_1, e1,
% 172.61/26.38 | | | | | | | | | | | | all_61_14, simplifying with (680), (6943) gives:
% 172.61/26.38 | | | | | | | | | | | | (6966) all_65_46 = all_22_1
% 172.61/26.38 | | | | | | | | | | | |
% 172.61/26.38 | | | | | | | | | | | | COMBINE_EQS: (6961), (6963) imply:
% 172.61/26.38 | | | | | | | | | | | | (6967) all_65_39 = all_65_67
% 172.61/26.38 | | | | | | | | | | | |
% 172.61/26.38 | | | | | | | | | | | | SIMP: (6967) implies:
% 172.61/26.38 | | | | | | | | | | | | (6968) all_65_39 = all_65_67
% 172.61/26.38 | | | | | | | | | | | |
% 172.61/26.38 | | | | | | | | | | | | COMBINE_EQS: (6960), (6968) imply:
% 172.61/26.38 | | | | | | | | | | | | (6969) all_65_45 = all_65_67
% 172.61/26.38 | | | | | | | | | | | |
% 172.61/26.38 | | | | | | | | | | | | COMBINE_EQS: (6959), (6965) imply:
% 172.61/26.38 | | | | | | | | | | | | (6970) all_65_47 = all_65_77
% 172.61/26.38 | | | | | | | | | | | |
% 172.61/26.38 | | | | | | | | | | | | COMBINE_EQS: (6958), (6962) imply:
% 172.61/26.38 | | | | | | | | | | | | (6971) all_65_31 = all_65_75
% 172.61/26.38 | | | | | | | | | | | |
% 172.61/26.38 | | | | | | | | | | | | REDUCE: (6944), (6959) imply:
% 172.61/26.38 | | | | | | | | | | | | (6972) op(all_61_14, e0) = all_65_77
% 172.61/26.38 | | | | | | | | | | | |
% 172.61/26.38 | | | | | | | | | | | | REDUCE: (6942), (6958) imply:
% 172.61/26.38 | | | | | | | | | | | | (6973) op(all_22_1, e0) = all_65_75
% 172.61/26.38 | | | | | | | | | | | |
% 172.61/26.38 | | | | | | | | | | | | REDUCE: (5827), (6968) imply:
% 172.61/26.38 | | | | | | | | | | | | (6974) op(all_10_1, e0) = all_65_67
% 172.61/26.38 | | | | | | | | | | | |
% 172.61/26.38 | | | | | | | | | | | | REDUCE: (5854), (6968) imply:
% 172.61/26.38 | | | | | | | | | | | | (6975) op(e2, all_61_14) = all_65_67
% 172.61/26.38 | | | | | | | | | | | |
% 172.61/26.38 | | | | | | | | | | | | REDUCE: (730), (6971) imply:
% 172.61/26.38 | | | | | | | | | | | | (6976) op(e2, all_20_2) = all_65_75
% 172.61/26.38 | | | | | | | | | | | |
% 172.61/26.38 | | | | | | | | | | | | REDUCE: (6952), (6966) imply:
% 172.61/26.38 | | | | | | | | | | | | (6977) op(e1, all_61_14) = all_22_1
% 172.61/26.38 | | | | | | | | | | | |
% 172.61/26.38 | | | | | | | | | | | | REDUCE: (747), (6970) imply:
% 172.61/26.38 | | | | | | | | | | | | (6978) op(e1, all_20_2) = all_65_77
% 172.61/26.38 | | | | | | | | | | | |
% 172.61/26.38 | | | | | | | | | | | | BETA: splitting (89) gives:
% 172.61/26.38 | | | | | | | | | | | |
% 172.61/26.38 | | | | | | | | | | | | Case 1:
% 172.61/26.38 | | | | | | | | | | | | |
% 172.61/26.38 | | | | | | | | | | | | | (6979) ~ (all_28_2 = e3)
% 172.61/26.38 | | | | | | | | | | | | |
% 172.61/26.38 | | | | | | | | | | | | | REDUCE: (563), (6979) imply:
% 172.61/26.38 | | | | | | | | | | | | | (6980) ~ (all_20_2 = e3)
% 172.61/26.38 | | | | | | | | | | | | |
% 172.61/26.38 | | | | | | | | | | | | | BETA: splitting (101) gives:
% 172.61/26.38 | | | | | | | | | | | | |
% 172.61/26.38 | | | | | | | | | | | | | Case 1:
% 172.61/26.38 | | | | | | | | | | | | | |
% 172.61/26.38 | | | | | | | | | | | | | | (6981) ~ (all_36_2 = e0)
% 172.61/26.38 | | | | | | | | | | | | | |
% 172.61/26.38 | | | | | | | | | | | | | | REDUCE: (557), (6981) imply:
% 172.61/26.38 | | | | | | | | | | | | | | (6982) ~ (all_14_2 = e0)
% 172.61/26.38 | | | | | | | | | | | | | |
% 172.61/26.38 | | | | | | | | | | | | | | BETA: splitting (107) gives:
% 172.61/26.38 | | | | | | | | | | | | | |
% 172.61/26.38 | | | | | | | | | | | | | | Case 1:
% 172.61/26.38 | | | | | | | | | | | | | | |
% 172.61/26.38 | | | | | | | | | | | | | | | (6983) ~ (all_40_2 = e1)
% 172.61/26.38 | | | | | | | | | | | | | | |
% 172.61/26.38 | | | | | | | | | | | | | | | REDUCE: (553), (6983) imply:
% 172.61/26.38 | | | | | | | | | | | | | | | (6984) ~ (all_14_2 = e1)
% 172.61/26.38 | | | | | | | | | | | | | | |
% 172.61/26.38 | | | | | | | | | | | | | | | REF_CLOSE: (10), (50), (67), (151), (159), (162), (165),
% 172.61/26.38 | | | | | | | | | | | | | | | (166), (167), (168), (226), (230), (234), (235),
% 172.61/26.38 | | | | | | | | | | | | | | | (236), (237), (271), (475), (478), (481), (484),
% 172.61/26.38 | | | | | | | | | | | | | | | (534), (588), (599), (601), (603), (635), (636),
% 172.61/26.38 | | | | | | | | | | | | | | | (637), (638), (642), (646), (650), (666), (682),
% 172.61/26.38 | | | | | | | | | | | | | | | (698), (714), (715), (731), (732), (748), (749),
% 172.61/26.38 | | | | | | | | | | | | | | | (765), (851), (5858), (6982), (6984) are
% 172.61/26.38 | | | | | | | | | | | | | | | inconsistent by sub-proof #502.
% 172.61/26.38 | | | | | | | | | | | | | | |
% 172.61/26.38 | | | | | | | | | | | | | | Case 2:
% 172.61/26.38 | | | | | | | | | | | | | | |
% 172.61/26.38 | | | | | | | | | | | | | | | (6985) all_40_2 = e1
% 172.61/26.38 | | | | | | | | | | | | | | | (6986) op(e3, e1) = all_40_1 & $i(all_40_1) & ( ~
% 172.61/26.38 | | | | | | | | | | | | | | | (all_40_1 = e0) | ( ~ (all_40_0 = e2) & op(e0,
% 172.61/26.38 | | | | | | | | | | | | | | | e3) = all_40_0 & $i(all_40_0)))
% 172.61/26.38 | | | | | | | | | | | | | | |
% 172.61/26.38 | | | | | | | | | | | | | | | ALPHA: (6986) implies:
% 172.61/26.38 | | | | | | | | | | | | | | | (6987) op(e3, e1) = all_40_1
% 172.61/26.38 | | | | | | | | | | | | | | |
% 172.61/26.38 | | | | | | | | | | | | | | | COMBINE_EQS: (553), (6985) imply:
% 172.61/26.38 | | | | | | | | | | | | | | | (6988) all_14_2 = e1
% 172.61/26.38 | | | | | | | | | | | | | | |
% 172.61/26.38 | | | | | | | | | | | | | | | COMBINE_EQS: (466), (6988) imply:
% 172.61/26.38 | | | | | | | | | | | | | | | (6989) all_48_2 = e1
% 172.61/26.38 | | | | | | | | | | | | | | |
% 172.61/26.38 | | | | | | | | | | | | | | | REDUCE: (593), (6988) imply:
% 172.61/26.38 | | | | | | | | | | | | | | | (6990) ~ (all_61_1 = e1)
% 172.61/26.38 | | | | | | | | | | | | | | |
% 172.61/26.38 | | | | | | | | | | | | | | | REDUCE: (597), (6988) imply:
% 172.61/26.38 | | | | | | | | | | | | | | | (6991) ~ (all_61_3 = e1)
% 172.61/26.38 | | | | | | | | | | | | | | |
% 172.61/26.38 | | | | | | | | | | | | | | | REDUCE: (601), (6988) imply:
% 172.61/26.38 | | | | | | | | | | | | | | | (6992) ~ (all_61_8 = e1)
% 172.61/26.38 | | | | | | | | | | | | | | |
% 172.61/26.38 | | | | | | | | | | | | | | | REDUCE: (634), (6988) imply:
% 172.61/26.38 | | | | | | | | | | | | | | | (6993) op(e1, e3) = all_65_0
% 172.61/26.38 | | | | | | | | | | | | | | |
% 172.61/26.38 | | | | | | | | | | | | | | | REDUCE: (636), (6988) imply:
% 172.61/26.38 | | | | | | | | | | | | | | | (6994) op(e1, e1) = all_65_2
% 172.61/26.38 | | | | | | | | | | | | | | |
% 172.61/26.38 | | | | | | | | | | | | | | | REDUCE: (637), (6988) imply:
% 172.61/26.38 | | | | | | | | | | | | | | | (6995) op(e1, e0) = all_65_3
% 172.61/26.38 | | | | | | | | | | | | | | |
% 172.61/26.38 | | | | | | | | | | | | | | | REDUCE: (698), (6988) imply:
% 172.61/26.38 | | | | | | | | | | | | | | | (6996) op(e3, e1) = all_65_0
% 172.61/26.38 | | | | | | | | | | | | | | |
% 172.61/26.38 | | | | | | | | | | | | | | | REDUCE: (715), (6988) imply:
% 172.61/26.38 | | | | | | | | | | | | | | | (6997) op(e2, e1) = all_65_16
% 172.61/26.38 | | | | | | | | | | | | | | |
% 172.61/26.38 | | | | | | | | | | | | | | | REDUCE: (732), (6988) imply:
% 172.61/26.38 | | | | | | | | | | | | | | | (6998) op(e1, e1) = all_65_32
% 172.61/26.38 | | | | | | | | | | | | | | |
% 172.61/26.38 | | | | | | | | | | | | | | | REDUCE: (749), (6988) imply:
% 172.61/26.38 | | | | | | | | | | | | | | | (6999) op(e0, e1) = all_65_49
% 172.61/26.38 | | | | | | | | | | | | | | |
% 172.61/26.38 | | | | | | | | | | | | | | | BETA: splitting (119) gives:
% 172.61/26.38 | | | | | | | | | | | | | | |
% 172.61/26.38 | | | | | | | | | | | | | | | Case 1:
% 172.61/26.38 | | | | | | | | | | | | | | | |
% 172.61/26.38 | | | | | | | | | | | | | | | | (7000) ~ (all_48_2 = e1)
% 172.61/26.38 | | | | | | | | | | | | | | | |
% 172.61/26.38 | | | | | | | | | | | | | | | | REDUCE: (6989), (7000) imply:
% 172.61/26.38 | | | | | | | | | | | | | | | | (7001) $false
% 172.61/26.38 | | | | | | | | | | | | | | | |
% 172.61/26.38 | | | | | | | | | | | | | | | | CLOSE: (7001) is inconsistent.
% 172.61/26.38 | | | | | | | | | | | | | | | |
% 172.61/26.38 | | | | | | | | | | | | | | | Case 2:
% 172.61/26.38 | | | | | | | | | | | | | | | |
% 172.61/26.38 | | | | | | | | | | | | | | | | (7002) op(e3, e1) = all_48_1 & $i(all_48_1) & ( ~
% 172.61/26.38 | | | | | | | | | | | | | | | | (all_48_1 = e2) | ( ~ (all_48_0 = e0) & op(e2,
% 172.61/26.38 | | | | | | | | | | | | | | | | e3) = all_48_0 & $i(all_48_0)))
% 172.61/26.38 | | | | | | | | | | | | | | | |
% 172.61/26.38 | | | | | | | | | | | | | | | | ALPHA: (7002) implies:
% 172.61/26.38 | | | | | | | | | | | | | | | | (7003) op(e3, e1) = all_48_1
% 172.61/26.38 | | | | | | | | | | | | | | | |
% 172.61/26.38 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_14, all_65_49, e1,
% 172.61/26.38 | | | | | | | | | | | | | | | | e0, simplifying with (6957), (6999) gives:
% 172.61/26.38 | | | | | | | | | | | | | | | | (7004) all_65_49 = all_61_14
% 172.61/26.38 | | | | | | | | | | | | | | | |
% 172.61/26.38 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_14, all_65_3, e0,
% 172.61/26.38 | | | | | | | | | | | | | | | | e1, simplifying with (227), (6995) gives:
% 172.61/26.38 | | | | | | | | | | | | | | | | (7005) all_65_3 = all_61_14
% 172.61/26.38 | | | | | | | | | | | | | | | |
% 172.61/26.38 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e2, all_65_2, e1, e1,
% 172.61/26.38 | | | | | | | | | | | | | | | | simplifying with (5784), (6994) gives:
% 172.61/26.38 | | | | | | | | | | | | | | | | (7006) all_65_2 = e2
% 172.61/26.38 | | | | | | | | | | | | | | | |
% 172.61/26.38 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_32, all_65_2, e1,
% 172.61/26.38 | | | | | | | | | | | | | | | | e1, simplifying with (6994), (6998) gives:
% 172.61/26.38 | | | | | | | | | | | | | | | | (7007) all_65_2 = all_65_32
% 172.61/26.38 | | | | | | | | | | | | | | | |
% 172.61/26.38 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_2, all_65_0, e3,
% 172.61/26.38 | | | | | | | | | | | | | | | | e1, simplifying with (230), (6993) gives:
% 172.61/26.38 | | | | | | | | | | | | | | | | (7008) all_65_0 = all_61_2
% 172.61/26.38 | | | | | | | | | | | | | | | |
% 172.61/26.38 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_10_1, all_65_16, e1,
% 172.61/26.38 | | | | | | | | | | | | | | | | e2, simplifying with (5838), (6997) gives:
% 172.61/26.38 | | | | | | | | | | | | | | | | (7009) all_65_16 = all_10_1
% 172.61/26.38 | | | | | | | | | | | | | | | |
% 172.61/26.38 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_8, all_48_1, e1,
% 172.61/26.38 | | | | | | | | | | | | | | | | e3, simplifying with (236), (7003) gives:
% 172.61/26.38 | | | | | | | | | | | | | | | | (7010) all_61_8 = all_48_1
% 172.61/26.38 | | | | | | | | | | | | | | | |
% 172.61/26.38 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_8, all_65_0, e1,
% 172.61/26.38 | | | | | | | | | | | | | | | | e3, simplifying with (236), (6996) gives:
% 172.61/26.38 | | | | | | | | | | | | | | | | (7011) all_65_0 = all_61_8
% 172.61/26.38 | | | | | | | | | | | | | | | |
% 172.61/26.38 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_40_1, all_65_0, e1,
% 172.61/26.38 | | | | | | | | | | | | | | | | e3, simplifying with (6987), (6996) gives:
% 172.61/26.38 | | | | | | | | | | | | | | | | (7012) all_65_0 = all_40_1
% 172.61/26.38 | | | | | | | | | | | | | | | |
% 172.61/26.38 | | | | | | | | | | | | | | | | COMBINE_EQS: (7008), (7012) imply:
% 172.61/26.38 | | | | | | | | | | | | | | | | (7013) all_61_2 = all_40_1
% 172.61/26.38 | | | | | | | | | | | | | | | |
% 172.61/26.38 | | | | | | | | | | | | | | | | SIMP: (7013) implies:
% 172.61/26.38 | | | | | | | | | | | | | | | | (7014) all_61_2 = all_40_1
% 172.61/26.38 | | | | | | | | | | | | | | | |
% 172.61/26.38 | | | | | | | | | | | | | | | | COMBINE_EQS: (7011), (7012) imply:
% 172.61/26.38 | | | | | | | | | | | | | | | | (7015) all_61_8 = all_40_1
% 172.61/26.38 | | | | | | | | | | | | | | | |
% 172.61/26.38 | | | | | | | | | | | | | | | | SIMP: (7015) implies:
% 172.61/26.38 | | | | | | | | | | | | | | | | (7016) all_61_8 = all_40_1
% 172.61/26.38 | | | | | | | | | | | | | | | |
% 172.61/26.38 | | | | | | | | | | | | | | | | COMBINE_EQS: (7006), (7007) imply:
% 172.61/26.38 | | | | | | | | | | | | | | | | (7017) all_65_32 = e2
% 172.61/26.38 | | | | | | | | | | | | | | | |
% 172.61/26.38 | | | | | | | | | | | | | | | | COMBINE_EQS: (7010), (7016) imply:
% 172.61/26.38 | | | | | | | | | | | | | | | | (7018) all_48_1 = all_40_1
% 172.61/26.38 | | | | | | | | | | | | | | | |
% 172.61/26.38 | | | | | | | | | | | | | | | | COMBINE_EQS: (489), (7016) imply:
% 172.61/26.38 | | | | | | | | | | | | | | | | (7019) all_63_2 = all_40_1
% 172.61/26.38 | | | | | | | | | | | | | | | |
% 172.61/26.38 | | | | | | | | | | | | | | | | REDUCE: (668), (7014) imply:
% 172.61/26.38 | | | | | | | | | | | | | | | | (7020) op(all_40_1, e1) = all_65_34
% 172.61/26.38 | | | | | | | | | | | | | | | |
% 172.61/26.38 | | | | | | | | | | | | | | | | REDUCE: (5828), (7016) imply:
% 172.61/26.38 | | | | | | | | | | | | | | | | (7021) op(all_40_1, e1) = all_61_4
% 172.61/26.38 | | | | | | | | | | | | | | | |
% 172.61/26.38 | | | | | | | | | | | | | | | | REDUCE: (5839), (7014) imply:
% 172.61/26.38 | | | | | | | | | | | | | | | | (7022) op(e1, all_40_1) = all_61_1
% 172.61/26.38 | | | | | | | | | | | | | | | |
% 172.61/26.38 | | | | | | | | | | | | | | | | REDUCE: (734), (7016) imply:
% 172.61/26.38 | | | | | | | | | | | | | | | | (7023) op(e1, all_40_1) = all_65_34
% 172.61/26.38 | | | | | | | | | | | | | | | |
% 172.61/26.38 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_1, all_65_34,
% 172.61/26.38 | | | | | | | | | | | | | | | | all_40_1, e1, simplifying with (7022), (7023)
% 172.61/26.38 | | | | | | | | | | | | | | | | gives:
% 172.61/26.38 | | | | | | | | | | | | | | | | (7024) all_65_34 = all_61_1
% 172.61/26.38 | | | | | | | | | | | | | | | |
% 172.61/26.38 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_4, all_65_34, e1,
% 172.61/26.38 | | | | | | | | | | | | | | | | all_40_1, simplifying with (7020), (7021) gives:
% 172.61/26.38 | | | | | | | | | | | | | | | | (7025) all_65_34 = all_61_4
% 172.61/26.38 | | | | | | | | | | | | | | | |
% 172.61/26.38 | | | | | | | | | | | | | | | | COMBINE_EQS: (7024), (7025) imply:
% 172.61/26.38 | | | | | | | | | | | | | | | | (7026) all_61_1 = all_61_4
% 172.61/26.38 | | | | | | | | | | | | | | | |
% 172.61/26.38 | | | | | | | | | | | | | | | | SIMP: (7026) implies:
% 172.61/26.38 | | | | | | | | | | | | | | | | (7027) all_61_1 = all_61_4
% 172.61/26.38 | | | | | | | | | | | | | | | |
% 172.61/26.38 | | | | | | | | | | | | | | | | REDUCE: (6929), (7027) imply:
% 172.61/26.38 | | | | | | | | | | | | | | | | (7028) ~ (all_61_4 = all_22_1)
% 172.61/26.38 | | | | | | | | | | | | | | | |
% 172.61/26.38 | | | | | | | | | | | | | | | | REDUCE: (6990), (7027) imply:
% 172.61/26.38 | | | | | | | | | | | | | | | | (7029) ~ (all_61_4 = e1)
% 172.61/26.38 | | | | | | | | | | | | | | | |
% 172.61/26.38 | | | | | | | | | | | | | | | | REDUCE: (6890), (7027) imply:
% 172.61/26.38 | | | | | | | | | | | | | | | | (7030) ~ (all_61_4 = e0)
% 172.61/26.38 | | | | | | | | | | | | | | | |
% 172.61/26.38 | | | | | | | | | | | | | | | | REDUCE: (651), (7027) imply:
% 172.61/26.38 | | | | | | | | | | | | | | | | (7031) op(all_61_4, e2) = all_65_17
% 172.61/26.38 | | | | | | | | | | | | | | | |
% 172.61/26.38 | | | | | | | | | | | | | | | | REDUCE: (6948), (7027) imply:
% 172.61/26.38 | | | | | | | | | | | | | | | | (7032) op(e2, all_61_4) = all_61_3
% 172.61/26.38 | | | | | | | | | | | | | | | |
% 172.61/26.38 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_17, all_61_3,
% 172.61/26.38 | | | | | | | | | | | | | | | | all_61_4, e2, simplifying with (716), (7032)
% 172.61/26.38 | | | | | | | | | | | | | | | | gives:
% 172.61/26.38 | | | | | | | | | | | | | | | | (7033) all_65_17 = all_61_3
% 172.61/26.38 | | | | | | | | | | | | | | | |
% 172.61/26.38 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_12, all_65_17, e2,
% 172.61/26.38 | | | | | | | | | | | | | | | | all_61_4, simplifying with (6939), (7031) gives:
% 172.61/26.38 | | | | | | | | | | | | | | | | (7034) all_65_17 = all_61_12
% 172.61/26.38 | | | | | | | | | | | | | | | |
% 172.61/26.38 | | | | | | | | | | | | | | | | COMBINE_EQS: (7033), (7034) imply:
% 172.61/26.38 | | | | | | | | | | | | | | | | (7035) all_61_3 = all_61_12
% 172.61/26.38 | | | | | | | | | | | | | | | |
% 172.61/26.38 | | | | | | | | | | | | | | | | SIMP: (7035) implies:
% 172.61/26.38 | | | | | | | | | | | | | | | | (7036) all_61_3 = all_61_12
% 172.61/26.38 | | | | | | | | | | | | | | | |
% 172.61/26.38 | | | | | | | | | | | | | | | | REDUCE: (6991), (7036) imply:
% 172.61/26.38 | | | | | | | | | | | | | | | | (7037) ~ (all_61_12 = e1)
% 172.61/26.38 | | | | | | | | | | | | | | | |
% 172.61/26.38 | | | | | | | | | | | | | | | | BETA: splitting (110) gives:
% 172.61/26.38 | | | | | | | | | | | | | | | |
% 172.61/26.38 | | | | | | | | | | | | | | | | Case 1:
% 172.61/26.38 | | | | | | | | | | | | | | | | |
% 172.61/26.38 | | | | | | | | | | | | | | | | | (7038) ~ (all_42_2 = e1)
% 172.61/26.38 | | | | | | | | | | | | | | | | |
% 172.61/26.38 | | | | | | | | | | | | | | | | | REDUCE: (532), (7038) imply:
% 172.61/26.38 | | | | | | | | | | | | | | | | | (7039) ~ (all_20_2 = e1)
% 172.61/26.38 | | | | | | | | | | | | | | | | |
% 172.61/26.38 | | | | | | | | | | | | | | | | | BETA: splitting (256) gives:
% 172.61/26.38 | | | | | | | | | | | | | | | | |
% 172.61/26.38 | | | | | | | | | | | | | | | | | Case 1:
% 172.61/26.38 | | | | | | | | | | | | | | | | | |
% 172.61/26.38 | | | | | | | | | | | | | | | | | | (7040) all_63_15 = e3
% 172.61/26.38 | | | | | | | | | | | | | | | | | |
% 172.61/26.38 | | | | | | | | | | | | | | | | | | REF_CLOSE: (422), (6980), (7040) are inconsistent by
% 172.61/26.38 | | | | | | | | | | | | | | | | | | sub-proof #501.
% 172.61/26.38 | | | | | | | | | | | | | | | | | |
% 172.61/26.38 | | | | | | | | | | | | | | | | | Case 2:
% 172.61/26.38 | | | | | | | | | | | | | | | | | |
% 172.61/26.38 | | | | | | | | | | | | | | | | | | (7041) all_63_15 = e2 | all_63_15 = e1 | all_63_15 = e0
% 172.61/26.38 | | | | | | | | | | | | | | | | | |
% 172.61/26.38 | | | | | | | | | | | | | | | | | | BETA: splitting (7041) gives:
% 172.61/26.38 | | | | | | | | | | | | | | | | | |
% 172.61/26.38 | | | | | | | | | | | | | | | | | | Case 1:
% 172.61/26.38 | | | | | | | | | | | | | | | | | | |
% 172.61/26.38 | | | | | | | | | | | | | | | | | | | (7042) all_63_15 = e2
% 172.61/26.38 | | | | | | | | | | | | | | | | | | |
% 172.61/26.38 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (422), (5859), (7042) are inconsistent by
% 172.61/26.38 | | | | | | | | | | | | | | | | | | | sub-proof #500.
% 172.61/26.38 | | | | | | | | | | | | | | | | | | |
% 172.61/26.38 | | | | | | | | | | | | | | | | | | Case 2:
% 172.61/26.38 | | | | | | | | | | | | | | | | | | |
% 172.61/26.38 | | | | | | | | | | | | | | | | | | | (7043) ~ (all_63_15 = e2)
% 172.61/26.38 | | | | | | | | | | | | | | | | | | | (7044) all_63_15 = e1 | all_63_15 = e0
% 172.61/26.38 | | | | | | | | | | | | | | | | | | |
% 172.61/26.38 | | | | | | | | | | | | | | | | | | | BETA: splitting (7044) gives:
% 172.61/26.38 | | | | | | | | | | | | | | | | | | |
% 172.61/26.38 | | | | | | | | | | | | | | | | | | | Case 1:
% 172.61/26.38 | | | | | | | | | | | | | | | | | | | |
% 172.61/26.38 | | | | | | | | | | | | | | | | | | | | (7045) all_63_15 = e1
% 172.61/26.38 | | | | | | | | | | | | | | | | | | | |
% 172.61/26.38 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (422), (7039), (7045) are inconsistent by
% 172.61/26.38 | | | | | | | | | | | | | | | | | | | | sub-proof #499.
% 172.61/26.38 | | | | | | | | | | | | | | | | | | | |
% 172.61/26.38 | | | | | | | | | | | | | | | | | | | Case 2:
% 172.61/26.38 | | | | | | | | | | | | | | | | | | | |
% 172.61/26.38 | | | | | | | | | | | | | | | | | | | | (7046) all_63_15 = e0
% 172.61/26.38 | | | | | | | | | | | | | | | | | | | |
% 172.61/26.38 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (422), (7046) imply:
% 172.61/26.38 | | | | | | | | | | | | | | | | | | | | (7047) all_20_2 = e0
% 172.61/26.38 | | | | | | | | | | | | | | | | | | | |
% 172.61/26.38 | | | | | | | | | | | | | | | | | | | | SIMP: (7047) implies:
% 172.61/26.38 | | | | | | | | | | | | | | | | | | | | (7048) all_20_2 = e0
% 172.61/26.38 | | | | | | | | | | | | | | | | | | | |
% 172.61/26.38 | | | | | | | | | | | | | | | | | | | | REDUCE: (625), (7048) imply:
% 172.61/26.38 | | | | | | | | | | | | | | | | | | | | (7049) ~ (all_61_12 = e0)
% 172.61/26.38 | | | | | | | | | | | | | | | | | | | |
% 172.61/26.38 | | | | | | | | | | | | | | | | | | | | REDUCE: (627), (7048) imply:
% 172.61/26.38 | | | | | | | | | | | | | | | | | | | | (7050) ~ (all_61_14 = e0)
% 172.61/26.38 | | | | | | | | | | | | | | | | | | | |
% 172.61/26.38 | | | | | | | | | | | | | | | | | | | | REDUCE: (5859), (7048) imply:
% 172.61/26.38 | | | | | | | | | | | | | | | | | | | | (7051) ~ (e2 = e0)
% 172.61/26.38 | | | | | | | | | | | | | | | | | | | |
% 172.61/26.38 | | | | | | | | | | | | | | | | | | | | REDUCE: (6978), (7048) imply:
% 172.61/26.38 | | | | | | | | | | | | | | | | | | | | (7052) op(e1, e0) = all_65_77
% 172.61/26.38 | | | | | | | | | | | | | | | | | | | |
% 172.61/26.38 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_14, all_65_77, e0,
% 172.61/26.38 | | | | | | | | | | | | | | | | | | | | e1, simplifying with (227), (7052) gives:
% 172.61/26.38 | | | | | | | | | | | | | | | | | | | | (7053) all_65_77 = all_61_14
% 172.61/26.38 | | | | | | | | | | | | | | | | | | | |
% 172.61/26.38 | | | | | | | | | | | | | | | | | | | | BETA: splitting (157) gives:
% 172.61/26.38 | | | | | | | | | | | | | | | | | | | |
% 172.61/26.38 | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.61/26.38 | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.38 | | | | | | | | | | | | | | | | | | | | | (7054) ~ (all_58_3 = e1)
% 172.61/26.38 | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.38 | | | | | | | | | | | | | | | | | | | | | REDUCE: (475), (7054) imply:
% 172.61/26.38 | | | | | | | | | | | | | | | | | | | | | (7055) ~ (all_52_3 = e1)
% 172.61/26.38 | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.38 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (162) gives:
% 172.61/26.38 | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.38 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.61/26.38 | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.38 | | | | | | | | | | | | | | | | | | | | | | (7056) ~ (all_58_2 = e3)
% 172.61/26.38 | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.38 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (478), (7056) imply:
% 172.61/26.38 | | | | | | | | | | | | | | | | | | | | | | (7057) ~ (all_52_2 = e3)
% 172.61/26.38 | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.38 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (164) gives:
% 172.61/26.38 | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.38 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.61/26.38 | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.38 | | | | | | | | | | | | | | | | | | | | | | | (7058) ~ (all_58_1 = e1)
% 172.61/26.38 | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.38 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (481), (7058) imply:
% 172.61/26.38 | | | | | | | | | | | | | | | | | | | | | | | (7059) ~ (all_52_1 = e1)
% 172.61/26.38 | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.38 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (161) gives:
% 172.61/26.38 | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.38 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.61/26.38 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.38 | | | | | | | | | | | | | | | | | | | | | | | | (7060) ~ (all_58_2 = e2)
% 172.61/26.38 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.38 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (478), (7060) imply:
% 172.61/26.38 | | | | | | | | | | | | | | | | | | | | | | | | (7061) ~ (all_52_2 = e2)
% 172.61/26.38 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.38 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (19), (50), (149), (160), (475), (478),
% 172.61/26.38 | | | | | | | | | | | | | | | | | | | | | | | | (538), (748), (5784), (6900), (7055), (7057),
% 172.61/26.38 | | | | | | | | | | | | | | | | | | | | | | | | (7061) are inconsistent by sub-proof #269.
% 172.61/26.38 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.38 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.61/26.38 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.38 | | | | | | | | | | | | | | | | | | | | | | | | (7062) all_58_1 = e1
% 172.61/26.38 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.38 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (481), (7059), (7062) are inconsistent by
% 172.61/26.38 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #424.
% 172.61/26.38 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.38 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.61/26.38 | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.38 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.61/26.38 | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.38 | | | | | | | | | | | | | | | | | | | | | | | (7063) all_58_1 = e1
% 172.61/26.38 | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.38 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (481), (7063) imply:
% 172.61/26.38 | | | | | | | | | | | | | | | | | | | | | | | (7064) all_52_1 = e1
% 172.61/26.38 | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.38 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7064) implies:
% 172.61/26.38 | | | | | | | | | | | | | | | | | | | | | | | (7065) all_52_1 = e1
% 172.61/26.38 | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.38 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (731), (7065) imply:
% 172.61/26.38 | | | | | | | | | | | | | | | | | | | | | | | (7066) op(e2, e1) = unit
% 172.61/26.38 | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.38 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_10_1, unit, e1, e2,
% 172.61/26.38 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (5838), (7066) gives:
% 172.61/26.38 | | | | | | | | | | | | | | | | | | | | | | | (7067) all_10_1 = unit
% 172.61/26.38 | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.38 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5809), (7067) imply:
% 172.61/26.38 | | | | | | | | | | | | | | | | | | | | | | | (7068) all_63_6 = unit
% 172.61/26.38 | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.38 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5816), (7067) imply:
% 172.61/26.38 | | | | | | | | | | | | | | | | | | | | | | | (7069) ~ (all_61_14 = unit)
% 172.61/26.38 | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.38 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6937), (7067) imply:
% 172.61/26.38 | | | | | | | | | | | | | | | | | | | | | | | (7070) ~ (all_22_1 = unit)
% 172.61/26.38 | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.38 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5823), (7067) imply:
% 172.61/26.38 | | | | | | | | | | | | | | | | | | | | | | | (7071) ~ (unit = e2)
% 172.61/26.38 | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.38 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6892), (7067) imply:
% 172.61/26.38 | | | | | | | | | | | | | | | | | | | | | | | (7072) ~ (unit = e0)
% 172.61/26.38 | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.38 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (265) gives:
% 172.61/26.38 | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.38 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.61/26.38 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.38 | | | | | | | | | | | | | | | | | | | | | | | | (7073) all_63_6 = e3
% 172.61/26.38 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.38 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7068), (7073) imply:
% 172.61/26.38 | | | | | | | | | | | | | | | | | | | | | | | | (7074) unit = e3
% 172.61/26.38 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.38 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (851), (7074) imply:
% 172.61/26.38 | | | | | | | | | | | | | | | | | | | | | | | | (7075) $false
% 172.61/26.38 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.38 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (7075) is inconsistent.
% 172.61/26.38 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.38 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.61/26.38 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.38 | | | | | | | | | | | | | | | | | | | | | | | | (7076) all_63_6 = e2 | all_63_6 = e1 | all_63_6 = e0
% 172.61/26.38 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.38 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7076) gives:
% 172.61/26.38 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.38 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.61/26.38 | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | (7077) all_63_6 = e2
% 172.61/26.38 | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7068), (7077) imply:
% 172.61/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | (7078) unit = e2
% 172.61/26.38 | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7071), (7078) imply:
% 172.61/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | (7079) $false
% 172.61/26.38 | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (7079) is inconsistent.
% 172.61/26.38 | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.38 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.61/26.38 | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | (7080) all_63_6 = e1 | all_63_6 = e0
% 172.61/26.38 | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7080) gives:
% 172.61/26.38 | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.61/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | (7081) all_63_6 = e1
% 172.61/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7068), (7081) imply:
% 172.61/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | (7082) unit = e1
% 172.61/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7069), (7082) imply:
% 172.61/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | (7083) ~ (all_61_14 = e1)
% 172.61/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7070), (7082) imply:
% 172.61/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | (7084) ~ (all_22_1 = e1)
% 172.61/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (179), (258), (260), (268), (491), (505), (5776),
% 172.61/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | (6927), (6933), (6935), (6938), (7037), (7049),
% 172.61/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | (7050), (7083), (7084) are inconsistent by
% 172.61/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #268.
% 172.61/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.61/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | (7085) all_63_6 = e0
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7068), (7085) imply:
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | (7086) unit = e0
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7072), (7086) imply:
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | (7087) $false
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (7087) is inconsistent.
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | (7088) all_58_0 = e1
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (484), (7088) imply:
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | (7089) all_52_0 = e1
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | SIMP: (7089) implies:
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | (7090) all_52_0 = e1
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (714), (7090) imply:
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | (7091) op(e3, e1) = unit
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_40_1, unit, e1, e3,
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | simplifying with (6987), (7091) gives:
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | (7092) all_40_1 = unit
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7019), (7092) imply:
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | (7093) all_63_2 = unit
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (269) gives:
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | | (7094) all_63_2 = e3
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7093), (7094) imply:
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | | (7095) unit = e3
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (851), (7095) imply:
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | | (7096) $false
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (7096) is inconsistent.
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | | (7097) all_63_2 = e2 | all_63_2 = e1 | all_63_2 = e0
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5769) gives:
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | | | (7098) ~ (all_10_1 = e3)
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (262) gives:
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | (7099) all_63_9 = e3
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5808), (7099) imply:
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | (7100) all_10_1 = e3
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7098), (7100) imply:
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | (7101) $false
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (7101) is inconsistent.
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | (7102) all_63_9 = e2 | all_63_9 = e1 | all_63_9 = e0
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7102) gives:
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | (7103) all_63_9 = e2
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5808), (7103) imply:
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | (7104) all_10_1 = e2
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5823), (7104) imply:
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | (7105) $false
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (7105) is inconsistent.
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | (7106) all_63_9 = e1 | all_63_9 = e0
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7106) gives:
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7107) all_63_9 = e1
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5808), (7107) imply:
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7108) all_10_1 = e1
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5816), (7108) imply:
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7109) ~ (all_61_14 = e1)
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6937), (7108) imply:
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7110) ~ (all_22_1 = e1)
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (179), (258), (260), (268), (491), (505), (5776),
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6927), (6933), (6935), (6938), (7037), (7049),
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7050), (7109), (7110) are inconsistent by
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #268.
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7111) all_63_9 = e0
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5808), (7111) imply:
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7112) all_10_1 = e0
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6892), (7112) imply:
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7113) $false
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (7113) is inconsistent.
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | | | (7114) all_10_1 = e3
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5812), (7114) imply:
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | | | (7115) ~ (all_61_4 = e3)
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5816), (7114) imply:
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | | | (7116) ~ (all_61_14 = e3)
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6937), (7114) imply:
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | | | (7117) ~ (all_22_1 = e3)
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6886) gives:
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | (7118) ~ (all_22_1 = e1)
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (258), (270), (488), (6927), (6938), (7028),
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | (7029), (7030), (7115), (7117), (7118) are
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #267.
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | (7119) all_22_1 = e1
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6935), (7119) imply:
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | (7120) ~ (all_61_14 = e1)
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (257), (489), (5773), (5776), (6926), (6932),
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | (6992), (7097), (7116), (7120) are inconsistent by
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #266.
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | End of split
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | (7121) all_58_2 = e0
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (478), (7121) imply:
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | (7122) all_52_2 = e0
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | SIMP: (7122) implies:
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | (7123) all_52_2 = e0
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | REDUCE: (748), (7123) imply:
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | (7124) op(e1, e0) = unit
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_14, unit, e0, e1,
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | simplifying with (227), (7124) gives:
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | (7125) all_61_14 = unit
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | REDUCE: (6935), (7125) imply:
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | (7126) ~ (all_22_1 = unit)
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | SIMP: (7126) implies:
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | (7127) ~ (all_22_1 = unit)
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | REDUCE: (5816), (7125) imply:
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | (7128) ~ (all_10_1 = unit)
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | SIMP: (7128) implies:
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | (7129) ~ (all_10_1 = unit)
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | REDUCE: (5776), (7125) imply:
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | (7130) ~ (unit = e2)
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | REDUCE: (7050), (7125) imply:
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | (7131) ~ (unit = e0)
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (852) gives:
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | (7132) unit = e2
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7130), (7132) imply:
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | (7133) $false
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (7133) is inconsistent.
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | (7134) unit = e1 | unit = e0
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7134) gives:
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | | (7135) unit = e1
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7127), (7135) imply:
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | | (7136) ~ (all_22_1 = e1)
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7129), (7135) imply:
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | | (7137) ~ (all_10_1 = e1)
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (265) gives:
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | | | (7138) all_63_6 = e3
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5809), (7138) imply:
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | | | (7139) all_10_1 = e3
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5812), (7139) imply:
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | | | (7140) ~ (all_61_4 = e3)
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6937), (7139) imply:
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | | | (7141) ~ (all_22_1 = e3)
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (258), (270), (488), (6927), (6938), (7028),
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | | | (7029), (7030), (7136), (7140), (7141) are
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #267.
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | | | (7142) all_63_6 = e2 | all_63_6 = e1 | all_63_6 = e0
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5809), (5823), (6892), (7137), (7142) are
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #288.
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | | (7143) ~ (unit = e1)
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (852), (7130), (7131), (7143) are inconsistent by
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #398.
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | End of split
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | End of split
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | |
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | End of split
% 172.61/26.39 | | | | | | | | | | | | | | | | | | |
% 172.61/26.39 | | | | | | | | | | | | | | | | | | End of split
% 172.61/26.39 | | | | | | | | | | | | | | | | | |
% 172.61/26.39 | | | | | | | | | | | | | | | | | End of split
% 172.61/26.39 | | | | | | | | | | | | | | | | |
% 172.61/26.39 | | | | | | | | | | | | | | | | Case 2:
% 172.61/26.39 | | | | | | | | | | | | | | | | |
% 172.61/26.39 | | | | | | | | | | | | | | | | | (7144) all_42_2 = e1
% 172.61/26.39 | | | | | | | | | | | | | | | | | (7145) op(e0, e1) = all_42_1 & $i(all_42_1) & ( ~
% 172.61/26.39 | | | | | | | | | | | | | | | | | (all_42_1 = e3) | ( ~ (all_42_0 = e2) & op(e3,
% 172.61/26.39 | | | | | | | | | | | | | | | | | e0) = all_42_0 & $i(all_42_0)))
% 172.61/26.39 | | | | | | | | | | | | | | | | |
% 172.61/26.39 | | | | | | | | | | | | | | | | | ALPHA: (7145) implies:
% 172.61/26.39 | | | | | | | | | | | | | | | | | (7146) op(e0, e1) = all_42_1
% 172.61/26.39 | | | | | | | | | | | | | | | | |
% 172.61/26.39 | | | | | | | | | | | | | | | | | COMBINE_EQS: (532), (7144) imply:
% 172.61/26.39 | | | | | | | | | | | | | | | | | (7147) all_20_2 = e1
% 172.61/26.39 | | | | | | | | | | | | | | | | |
% 172.61/26.39 | | | | | | | | | | | | | | | | | SIMP: (7147) implies:
% 172.61/26.39 | | | | | | | | | | | | | | | | | (7148) all_20_2 = e1
% 172.61/26.39 | | | | | | | | | | | | | | | | |
% 172.61/26.39 | | | | | | | | | | | | | | | | | COMBINE_EQS: (582), (7148) imply:
% 172.61/26.39 | | | | | | | | | | | | | | | | | (7149) all_50_2 = e1
% 172.61/26.39 | | | | | | | | | | | | | | | | |
% 172.61/26.39 | | | | | | | | | | | | | | | | | REDUCE: (627), (7148) imply:
% 172.61/26.39 | | | | | | | | | | | | | | | | | (7150) ~ (all_61_14 = e1)
% 172.61/26.39 | | | | | | | | | | | | | | | | |
% 172.61/26.39 | | | | | | | | | | | | | | | | | REDUCE: (6936), (7148) imply:
% 172.61/26.39 | | | | | | | | | | | | | | | | | (7151) ~ (all_22_1 = e1)
% 172.61/26.39 | | | | | | | | | | | | | | | | |
% 172.61/26.39 | | | | | | | | | | | | | | | | | REDUCE: (697), (7148) imply:
% 172.61/26.39 | | | | | | | | | | | | | | | | | (7152) op(e1, e0) = all_65_78
% 172.61/26.39 | | | | | | | | | | | | | | | | |
% 172.61/26.39 | | | | | | | | | | | | | | | | | REDUCE: (6976), (7148) imply:
% 172.61/26.39 | | | | | | | | | | | | | | | | | (7153) op(e2, e1) = all_65_75
% 172.61/26.39 | | | | | | | | | | | | | | | | |
% 172.61/26.39 | | | | | | | | | | | | | | | | | REDUCE: (6978), (7148) imply:
% 172.61/26.39 | | | | | | | | | | | | | | | | | (7154) op(e1, e1) = all_65_77
% 172.61/26.39 | | | | | | | | | | | | | | | | |
% 172.61/26.39 | | | | | | | | | | | | | | | | | REDUCE: (764), (7148) imply:
% 172.61/26.39 | | | | | | | | | | | | | | | | | (7155) op(e0, e1) = all_65_78
% 172.61/26.39 | | | | | | | | | | | | | | | | |
% 172.61/26.39 | | | | | | | | | | | | | | | | | REDUCE: (76), (7148) imply:
% 172.61/26.39 | | | | | | | | | | | | | | | | | (7156) op(e0, e0) = e1
% 172.61/26.39 | | | | | | | | | | | | | | | | |
% 172.61/26.39 | | | | | | | | | | | | | | | | | BETA: splitting (122) gives:
% 172.61/26.39 | | | | | | | | | | | | | | | | |
% 172.61/26.39 | | | | | | | | | | | | | | | | | Case 1:
% 172.61/26.39 | | | | | | | | | | | | | | | | | |
% 172.61/26.39 | | | | | | | | | | | | | | | | | | (7157) ~ (all_50_2 = e1)
% 172.61/26.39 | | | | | | | | | | | | | | | | | |
% 172.61/26.39 | | | | | | | | | | | | | | | | | | REDUCE: (7149), (7157) imply:
% 172.61/26.39 | | | | | | | | | | | | | | | | | | (7158) $false
% 172.61/26.39 | | | | | | | | | | | | | | | | | |
% 172.61/26.39 | | | | | | | | | | | | | | | | | | CLOSE: (7158) is inconsistent.
% 172.61/26.39 | | | | | | | | | | | | | | | | | |
% 172.61/26.39 | | | | | | | | | | | | | | | | | Case 2:
% 172.61/26.39 | | | | | | | | | | | | | | | | | |
% 172.61/26.39 | | | | | | | | | | | | | | | | | | (7159) op(e0, e1) = all_50_1 & $i(all_50_1) & ( ~
% 172.61/26.39 | | | | | | | | | | | | | | | | | | (all_50_1 = e2) | ( ~ (all_50_0 = e3) & op(e2,
% 172.61/26.39 | | | | | | | | | | | | | | | | | | e0) = all_50_0 & $i(all_50_0)))
% 172.61/26.39 | | | | | | | | | | | | | | | | | |
% 172.61/26.39 | | | | | | | | | | | | | | | | | | ALPHA: (7159) implies:
% 172.61/26.39 | | | | | | | | | | | | | | | | | | (7160) op(e0, e1) = all_50_1
% 172.61/26.39 | | | | | | | | | | | | | | | | | |
% 172.61/26.39 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_14, all_42_1, e1,
% 172.61/26.39 | | | | | | | | | | | | | | | | | | e0, simplifying with (6957), (7146) gives:
% 172.61/26.39 | | | | | | | | | | | | | | | | | | (7161) all_61_14 = all_42_1
% 172.61/26.39 | | | | | | | | | | | | | | | | | |
% 172.61/26.39 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_50_1, all_65_78, e1,
% 172.61/26.39 | | | | | | | | | | | | | | | | | | e0, simplifying with (7155), (7160) gives:
% 172.61/26.39 | | | | | | | | | | | | | | | | | | (7162) all_65_78 = all_50_1
% 172.61/26.39 | | | | | | | | | | | | | | | | | |
% 172.61/26.39 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_14, all_65_78, e0,
% 172.61/26.39 | | | | | | | | | | | | | | | | | | e1, simplifying with (227), (7152) gives:
% 172.61/26.39 | | | | | | | | | | | | | | | | | | (7163) all_65_78 = all_61_14
% 172.61/26.39 | | | | | | | | | | | | | | | | | |
% 172.61/26.39 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e2, all_65_77, e1, e1,
% 172.61/26.39 | | | | | | | | | | | | | | | | | | simplifying with (5784), (7154) gives:
% 172.61/26.39 | | | | | | | | | | | | | | | | | | (7164) all_65_77 = e2
% 172.61/26.39 | | | | | | | | | | | | | | | | | |
% 172.61/26.39 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_10_1, all_65_75, e1,
% 172.61/26.39 | | | | | | | | | | | | | | | | | | e2, simplifying with (5838), (7153) gives:
% 172.61/26.39 | | | | | | | | | | | | | | | | | | (7165) all_65_75 = all_10_1
% 172.61/26.39 | | | | | | | | | | | | | | | | | |
% 172.61/26.39 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7162), (7163) imply:
% 172.61/26.39 | | | | | | | | | | | | | | | | | | (7166) all_61_14 = all_50_1
% 172.61/26.39 | | | | | | | | | | | | | | | | | |
% 172.61/26.39 | | | | | | | | | | | | | | | | | | SIMP: (7166) implies:
% 172.61/26.39 | | | | | | | | | | | | | | | | | | (7167) all_61_14 = all_50_1
% 172.61/26.39 | | | | | | | | | | | | | | | | | |
% 172.61/26.39 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7161), (7167) imply:
% 172.61/26.39 | | | | | | | | | | | | | | | | | | (7168) all_50_1 = all_42_1
% 172.61/26.39 | | | | | | | | | | | | | | | | | |
% 172.61/26.39 | | | | | | | | | | | | | | | | | | REDUCE: (5776), (7161) imply:
% 172.61/26.39 | | | | | | | | | | | | | | | | | | (7169) ~ (all_42_1 = e2)
% 172.61/26.39 | | | | | | | | | | | | | | | | | |
% 172.61/26.39 | | | | | | | | | | | | | | | | | | REDUCE: (7150), (7161) imply:
% 172.61/26.39 | | | | | | | | | | | | | | | | | | (7170) ~ (all_42_1 = e1)
% 172.61/26.39 | | | | | | | | | | | | | | | | | |
% 172.61/26.39 | | | | | | | | | | | | | | | | | | REDUCE: (6973), (7165) imply:
% 172.61/26.39 | | | | | | | | | | | | | | | | | | (7171) op(all_22_1, e0) = all_10_1
% 172.61/26.39 | | | | | | | | | | | | | | | | | |
% 172.61/26.39 | | | | | | | | | | | | | | | | | | REDUCE: (6975), (7161) imply:
% 172.61/26.39 | | | | | | | | | | | | | | | | | | (7172) op(e2, all_42_1) = all_65_67
% 172.61/26.39 | | | | | | | | | | | | | | | | | |
% 172.61/26.39 | | | | | | | | | | | | | | | | | | REDUCE: (6950), (7161) imply:
% 172.61/26.39 | | | | | | | | | | | | | | | | | | (7173) op(e2, all_10_1) = all_42_1
% 172.61/26.39 | | | | | | | | | | | | | | | | | |
% 172.61/26.39 | | | | | | | | | | | | | | | | | | REDUCE: (6977), (7161) imply:
% 172.61/26.39 | | | | | | | | | | | | | | | | | | (7174) op(e1, all_42_1) = all_22_1
% 172.61/26.39 | | | | | | | | | | | | | | | | | |
% 172.61/26.39 | | | | | | | | | | | | | | | | | | REDUCE: (227), (7161) imply:
% 172.61/26.39 | | | | | | | | | | | | | | | | | | (7175) op(e1, e0) = all_42_1
% 172.61/26.39 | | | | | | | | | | | | | | | | | |
% 172.61/26.39 | | | | | | | | | | | | | | | | | | REDUCE: (6955), (7161), (7164) imply:
% 172.61/26.39 | | | | | | | | | | | | | | | | | | (7176) op(e0, all_42_1) = e2
% 172.61/26.39 | | | | | | | | | | | | | | | | | |
% 172.61/26.39 | | | | | | | | | | | | | | | | | | BETA: splitting (157) gives:
% 172.61/26.39 | | | | | | | | | | | | | | | | | |
% 172.61/26.39 | | | | | | | | | | | | | | | | | | Case 1:
% 172.61/26.39 | | | | | | | | | | | | | | | | | | |
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | (7177) ~ (all_58_3 = e1)
% 172.61/26.39 | | | | | | | | | | | | | | | | | | |
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | REDUCE: (475), (7177) imply:
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | (7178) ~ (all_52_3 = e1)
% 172.61/26.39 | | | | | | | | | | | | | | | | | | |
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | BETA: splitting (160) gives:
% 172.61/26.39 | | | | | | | | | | | | | | | | | | |
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | Case 1:
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | |
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | (7179) ~ (all_58_2 = e0)
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | |
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | REDUCE: (478), (7179) imply:
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | (7180) ~ (all_52_2 = e0)
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | |
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | BETA: splitting (161) gives:
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | |
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | (7181) ~ (all_58_2 = e2)
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | REDUCE: (478), (7181) imply:
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | (7182) ~ (all_52_2 = e2)
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (164) gives:
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | (7183) ~ (all_58_1 = e1)
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (5), (7), (8), (18), (19), (50), (149),
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | (150), (158), (163), (165), (264), (475), (481),
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | (484), (536), (538), (629), (631), (731), (748),
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | (851), (852), (5784), (5838), (6885), (6900),
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | (6928), (6938), (6941), (7151), (7156), (7171),
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | (7180), (7183) are inconsistent by sub-proof #260.
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | (7184) all_58_2 = e2
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (478), (7182), (7184) are inconsistent by
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | | sub-proof #433.
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | End of split
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | (7185) all_58_2 = e2
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | (7186) all_58_1 = e1
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (481), (7186) imply:
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | (7187) all_52_1 = e1
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | |
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | SIMP: (7187) implies:
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | | (7188) all_52_1 = e1
% 172.61/26.39 | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.39 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (478), (7185) imply:
% 173.35/26.39 | | | | | | | | | | | | | | | | | | | | | (7189) all_52_2 = e2
% 173.35/26.39 | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.39 | | | | | | | | | | | | | | | | | | | | | REDUCE: (125), (7189) imply:
% 173.35/26.39 | | | | | | | | | | | | | | | | | | | | | (7190) inv(e1) = e2
% 173.35/26.39 | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.39 | | | | | | | | | | | | | | | | | | | | | REDUCE: (731), (7188) imply:
% 173.35/26.39 | | | | | | | | | | | | | | | | | | | | | (7191) op(e2, e1) = unit
% 173.35/26.39 | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.39 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_10_1, unit, e1, e2,
% 173.35/26.39 | | | | | | | | | | | | | | | | | | | | | simplifying with (5838), (7191) gives:
% 173.35/26.39 | | | | | | | | | | | | | | | | | | | | | (7192) all_10_1 = unit
% 173.35/26.39 | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.39 | | | | | | | | | | | | | | | | | | | | | REDUCE: (5823), (7192) imply:
% 173.35/26.39 | | | | | | | | | | | | | | | | | | | | | (7193) ~ (unit = e2)
% 173.35/26.39 | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.39 | | | | | | | | | | | | | | | | | | | | | REDUCE: (6892), (7192) imply:
% 173.35/26.39 | | | | | | | | | | | | | | | | | | | | | (7194) ~ (unit = e0)
% 173.35/26.39 | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.39 | | | | | | | | | | | | | | | | | | | | | REDUCE: (6974), (7192) imply:
% 173.35/26.39 | | | | | | | | | | | | | | | | | | | | | (7195) op(unit, e0) = all_65_67
% 173.35/26.39 | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.39 | | | | | | | | | | | | | | | | | | | | | REDUCE: (7173), (7192) imply:
% 173.35/26.39 | | | | | | | | | | | | | | | | | | | | | (7196) op(e2, unit) = all_42_1
% 173.35/26.39 | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.39 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (13), (49), (50), (852), (7175), (7190),
% 173.35/26.39 | | | | | | | | | | | | | | | | | | | | | (7193), (7194), (7195), (7196) are inconsistent by
% 173.35/26.39 | | | | | | | | | | | | | | | | | | | | | sub-proof #259.
% 173.35/26.39 | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.39 | | | | | | | | | | | | | | | | | | | | End of split
% 173.35/26.39 | | | | | | | | | | | | | | | | | | | |
% 173.35/26.39 | | | | | | | | | | | | | | | | | | | Case 2:
% 173.35/26.39 | | | | | | | | | | | | | | | | | | | |
% 173.35/26.39 | | | | | | | | | | | | | | | | | | | | (7197) all_58_3 = e1
% 173.35/26.39 | | | | | | | | | | | | | | | | | | | |
% 173.35/26.39 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (475), (7178), (7197) are inconsistent by
% 173.35/26.39 | | | | | | | | | | | | | | | | | | | | sub-proof #460.
% 173.35/26.39 | | | | | | | | | | | | | | | | | | | |
% 173.35/26.39 | | | | | | | | | | | | | | | | | | | End of split
% 173.35/26.39 | | | | | | | | | | | | | | | | | | |
% 173.35/26.39 | | | | | | | | | | | | | | | | | | Case 2:
% 173.35/26.39 | | | | | | | | | | | | | | | | | | |
% 173.35/26.39 | | | | | | | | | | | | | | | | | | | (7198) all_58_2 = e0
% 173.35/26.39 | | | | | | | | | | | | | | | | | | |
% 173.35/26.39 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (478), (7198) imply:
% 173.35/26.39 | | | | | | | | | | | | | | | | | | | (7199) all_52_2 = e0
% 173.35/26.39 | | | | | | | | | | | | | | | | | | |
% 173.35/26.39 | | | | | | | | | | | | | | | | | | | SIMP: (7199) implies:
% 173.35/26.39 | | | | | | | | | | | | | | | | | | | (7200) all_52_2 = e0
% 173.35/26.39 | | | | | | | | | | | | | | | | | | |
% 173.35/26.39 | | | | | | | | | | | | | | | | | | | REDUCE: (748), (7200) imply:
% 173.35/26.39 | | | | | | | | | | | | | | | | | | | (7201) op(e1, e0) = unit
% 173.35/26.39 | | | | | | | | | | | | | | | | | | |
% 173.35/26.39 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (50), (852), (6885), (7156), (7169), (7170),
% 173.35/26.39 | | | | | | | | | | | | | | | | | | | (7172), (7174), (7175), (7176), (7201) are
% 173.35/26.39 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #258.
% 173.35/26.39 | | | | | | | | | | | | | | | | | | |
% 173.35/26.39 | | | | | | | | | | | | | | | | | | End of split
% 173.35/26.39 | | | | | | | | | | | | | | | | | |
% 173.35/26.39 | | | | | | | | | | | | | | | | | End of split
% 173.35/26.39 | | | | | | | | | | | | | | | | |
% 173.35/26.39 | | | | | | | | | | | | | | | | End of split
% 173.35/26.39 | | | | | | | | | | | | | | | |
% 173.35/26.40 | | | | | | | | | | | | | | | End of split
% 173.35/26.40 | | | | | | | | | | | | | | |
% 173.35/26.40 | | | | | | | | | | | | | | End of split
% 173.35/26.40 | | | | | | | | | | | | | |
% 173.35/26.40 | | | | | | | | | | | | | Case 2:
% 173.35/26.40 | | | | | | | | | | | | | |
% 173.35/26.40 | | | | | | | | | | | | | | (7202) all_36_2 = e0
% 173.35/26.40 | | | | | | | | | | | | | | (7203) op(e3, e0) = all_36_1 & $i(all_36_1) & ( ~
% 173.35/26.40 | | | | | | | | | | | | | | (all_36_1 = e2) | ( ~ (all_36_0 = e1) & op(e2,
% 173.35/26.40 | | | | | | | | | | | | | | e3) = all_36_0 & $i(all_36_0)))
% 173.35/26.40 | | | | | | | | | | | | | |
% 173.35/26.40 | | | | | | | | | | | | | | ALPHA: (7203) implies:
% 173.35/26.40 | | | | | | | | | | | | | | (7204) op(e3, e0) = all_36_1
% 173.35/26.40 | | | | | | | | | | | | | |
% 173.35/26.40 | | | | | | | | | | | | | | COMBINE_EQS: (557), (7202) imply:
% 173.35/26.40 | | | | | | | | | | | | | | (7205) all_14_2 = e0
% 173.35/26.40 | | | | | | | | | | | | | |
% 173.35/26.40 | | | | | | | | | | | | | | COMBINE_EQS: (549), (7205) imply:
% 173.35/26.40 | | | | | | | | | | | | | | (7206) all_44_2 = e0
% 173.35/26.40 | | | | | | | | | | | | | |
% 173.35/26.40 | | | | | | | | | | | | | | REDUCE: (595), (7205) imply:
% 173.35/26.40 | | | | | | | | | | | | | | (7207) ~ (all_61_2 = e0)
% 173.35/26.40 | | | | | | | | | | | | | |
% 173.35/26.40 | | | | | | | | | | | | | | REDUCE: (601), (7205) imply:
% 173.35/26.40 | | | | | | | | | | | | | | (7208) ~ (all_61_8 = e0)
% 173.35/26.40 | | | | | | | | | | | | | |
% 173.35/26.40 | | | | | | | | | | | | | | REDUCE: (603), (7205) imply:
% 173.35/26.40 | | | | | | | | | | | | | | (7209) ~ (all_61_12 = e0)
% 173.35/26.40 | | | | | | | | | | | | | |
% 173.35/26.40 | | | | | | | | | | | | | | REDUCE: (5858), (7205) imply:
% 173.35/26.40 | | | | | | | | | | | | | | (7210) ~ (e2 = e0)
% 173.35/26.40 | | | | | | | | | | | | | |
% 173.35/26.40 | | | | | | | | | | | | | | REDUCE: (634), (7205) imply:
% 173.35/26.40 | | | | | | | | | | | | | | (7211) op(e0, e3) = all_65_0
% 173.35/26.40 | | | | | | | | | | | | | |
% 173.35/26.40 | | | | | | | | | | | | | | REDUCE: (637), (7205) imply:
% 173.35/26.40 | | | | | | | | | | | | | | (7212) op(e0, e0) = all_65_3
% 173.35/26.40 | | | | | | | | | | | | | |
% 173.35/26.40 | | | | | | | | | | | | | | REDUCE: (698), (7205) imply:
% 173.35/26.40 | | | | | | | | | | | | | | (7213) op(e3, e0) = all_65_0
% 173.35/26.40 | | | | | | | | | | | | | |
% 173.35/26.40 | | | | | | | | | | | | | | REDUCE: (715), (7205) imply:
% 173.35/26.40 | | | | | | | | | | | | | | (7214) op(e2, e0) = all_65_16
% 173.35/26.40 | | | | | | | | | | | | | |
% 173.35/26.40 | | | | | | | | | | | | | | REDUCE: (732), (7205) imply:
% 173.35/26.40 | | | | | | | | | | | | | | (7215) op(e1, e0) = all_65_32
% 173.35/26.40 | | | | | | | | | | | | | |
% 173.35/26.40 | | | | | | | | | | | | | | REDUCE: (749), (7205) imply:
% 173.35/26.40 | | | | | | | | | | | | | | (7216) op(e0, e0) = all_65_49
% 173.35/26.40 | | | | | | | | | | | | | |
% 173.35/26.40 | | | | | | | | | | | | | | BETA: splitting (113) gives:
% 173.35/26.40 | | | | | | | | | | | | | |
% 173.35/26.40 | | | | | | | | | | | | | | Case 1:
% 173.35/26.40 | | | | | | | | | | | | | | |
% 173.35/26.40 | | | | | | | | | | | | | | | (7217) ~ (all_44_2 = e0)
% 173.35/26.40 | | | | | | | | | | | | | | |
% 173.35/26.40 | | | | | | | | | | | | | | | REDUCE: (7206), (7217) imply:
% 173.35/26.40 | | | | | | | | | | | | | | | (7218) $false
% 173.35/26.40 | | | | | | | | | | | | | | |
% 173.35/26.40 | | | | | | | | | | | | | | | CLOSE: (7218) is inconsistent.
% 173.35/26.40 | | | | | | | | | | | | | | |
% 173.35/26.40 | | | | | | | | | | | | | | Case 2:
% 173.35/26.40 | | | | | | | | | | | | | | |
% 173.35/26.40 | | | | | | | | | | | | | | | (7219) op(e3, e0) = all_44_1 & $i(all_44_1) & ( ~
% 173.35/26.40 | | | | | | | | | | | | | | | (all_44_1 = e1) | ( ~ (all_44_0 = e2) & op(e1,
% 173.35/26.40 | | | | | | | | | | | | | | | e3) = all_44_0 & $i(all_44_0)))
% 173.35/26.40 | | | | | | | | | | | | | | |
% 173.35/26.40 | | | | | | | | | | | | | | | ALPHA: (7219) implies:
% 173.35/26.40 | | | | | | | | | | | | | | | (7220) op(e3, e0) = all_44_1
% 173.35/26.40 | | | | | | | | | | | | | | |
% 173.35/26.40 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_20_2, all_65_3, e0,
% 173.35/26.40 | | | | | | | | | | | | | | | e0, simplifying with (76), (7212) gives:
% 173.35/26.40 | | | | | | | | | | | | | | | (7221) all_65_3 = all_20_2
% 173.35/26.40 | | | | | | | | | | | | | | |
% 173.35/26.40 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_49, all_65_3, e0,
% 173.35/26.40 | | | | | | | | | | | | | | | e0, simplifying with (7212), (7216) gives:
% 173.35/26.40 | | | | | | | | | | | | | | | (7222) all_65_3 = all_65_49
% 173.35/26.40 | | | | | | | | | | | | | | |
% 173.35/26.40 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_3, all_65_0, e3,
% 173.35/26.40 | | | | | | | | | | | | | | | e0, simplifying with (226), (7211) gives:
% 173.35/26.40 | | | | | | | | | | | | | | | (7223) all_65_0 = all_61_3
% 173.35/26.40 | | | | | | | | | | | | | | |
% 173.35/26.40 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_14, all_65_32, e0,
% 173.35/26.40 | | | | | | | | | | | | | | | e1, simplifying with (227), (7215) gives:
% 173.35/26.40 | | | | | | | | | | | | | | | (7224) all_65_32 = all_61_14
% 173.35/26.40 | | | | | | | | | | | | | | |
% 173.35/26.40 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_22_1, all_65_16, e0,
% 173.35/26.40 | | | | | | | | | | | | | | | e2, simplifying with (6885), (7214) gives:
% 173.35/26.40 | | | | | | | | | | | | | | | (7225) all_65_16 = all_22_1
% 173.35/26.40 | | | | | | | | | | | | | | |
% 173.35/26.40 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_12, all_44_1, e0,
% 173.35/26.40 | | | | | | | | | | | | | | | e3, simplifying with (235), (7220) gives:
% 173.35/26.40 | | | | | | | | | | | | | | | (7226) all_61_12 = all_44_1
% 173.35/26.40 | | | | | | | | | | | | | | |
% 173.35/26.40 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_12, all_65_0, e0,
% 173.35/26.40 | | | | | | | | | | | | | | | e3, simplifying with (235), (7213) gives:
% 173.35/26.40 | | | | | | | | | | | | | | | (7227) all_65_0 = all_61_12
% 173.35/26.40 | | | | | | | | | | | | | | |
% 173.35/26.40 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_36_1, all_65_0, e0,
% 173.35/26.40 | | | | | | | | | | | | | | | e3, simplifying with (7204), (7213) gives:
% 173.35/26.40 | | | | | | | | | | | | | | | (7228) all_65_0 = all_36_1
% 173.35/26.40 | | | | | | | | | | | | | | |
% 173.35/26.40 | | | | | | | | | | | | | | | COMBINE_EQS: (7227), (7228) imply:
% 173.35/26.40 | | | | | | | | | | | | | | | (7229) all_61_12 = all_36_1
% 173.35/26.40 | | | | | | | | | | | | | | |
% 173.35/26.40 | | | | | | | | | | | | | | | SIMP: (7229) implies:
% 173.35/26.40 | | | | | | | | | | | | | | | (7230) all_61_12 = all_36_1
% 173.35/26.40 | | | | | | | | | | | | | | |
% 173.35/26.40 | | | | | | | | | | | | | | | COMBINE_EQS: (7223), (7228) imply:
% 173.35/26.40 | | | | | | | | | | | | | | | (7231) all_61_3 = all_36_1
% 173.35/26.40 | | | | | | | | | | | | | | |
% 173.35/26.40 | | | | | | | | | | | | | | | SIMP: (7231) implies:
% 173.35/26.40 | | | | | | | | | | | | | | | (7232) all_61_3 = all_36_1
% 173.35/26.40 | | | | | | | | | | | | | | |
% 173.35/26.40 | | | | | | | | | | | | | | | COMBINE_EQS: (7221), (7222) imply:
% 173.35/26.40 | | | | | | | | | | | | | | | (7233) all_65_49 = all_20_2
% 173.35/26.40 | | | | | | | | | | | | | | |
% 173.35/26.40 | | | | | | | | | | | | | | | COMBINE_EQS: (7226), (7230) imply:
% 173.35/26.40 | | | | | | | | | | | | | | | (7234) all_44_1 = all_36_1
% 173.35/26.40 | | | | | | | | | | | | | | |
% 173.35/26.40 | | | | | | | | | | | | | | | COMBINE_EQS: (491), (7230) imply:
% 173.35/26.40 | | | | | | | | | | | | | | | (7235) all_63_3 = all_36_1
% 173.35/26.40 | | | | | | | | | | | | | | |
% 173.35/26.40 | | | | | | | | | | | | | | | REDUCE: (215), (7232) imply:
% 173.35/26.40 | | | | | | | | | | | | | | | (7236) ~ (all_61_1 = all_36_1)
% 173.35/26.40 | | | | | | | | | | | | | | |
% 173.35/26.40 | | | | | | | | | | | | | | | REDUCE: (187), (7230) imply:
% 173.35/26.40 | | | | | | | | | | | | | | | (7237) ~ (all_61_8 = all_36_1)
% 173.35/26.40 | | | | | | | | | | | | | | |
% 173.35/26.40 | | | | | | | | | | | | | | | REDUCE: (6933), (7230) imply:
% 173.35/26.40 | | | | | | | | | | | | | | | (7238) ~ (all_36_1 = all_22_1)
% 173.35/26.40 | | | | | | | | | | | | | | |
% 173.35/26.40 | | | | | | | | | | | | | | | REDUCE: (625), (7230) imply:
% 173.35/26.40 | | | | | | | | | | | | | | | (7239) ~ (all_36_1 = all_20_2)
% 173.35/26.40 | | | | | | | | | | | | | | |
% 173.35/26.40 | | | | | | | | | | | | | | | REDUCE: (7209), (7230) imply:
% 173.35/26.40 | | | | | | | | | | | | | | | (7240) ~ (all_36_1 = e0)
% 173.35/26.40 | | | | | | | | | | | | | | |
% 173.35/26.40 | | | | | | | | | | | | | | | REDUCE: (682), (7232), (7233) imply:
% 173.35/26.40 | | | | | | | | | | | | | | | (7241) op(all_36_1, e3) = all_20_2
% 173.35/26.40 | | | | | | | | | | | | | | |
% 173.35/26.40 | | | | | | | | | | | | | | | REDUCE: (685), (7232) imply:
% 173.35/26.40 | | | | | | | | | | | | | | | (7242) op(all_36_1, e0) = all_65_55
% 173.35/26.40 | | | | | | | | | | | | | | |
% 173.35/26.40 | | | | | | | | | | | | | | | REDUCE: (646), (7230) imply:
% 173.35/26.40 | | | | | | | | | | | | | | | (7243) op(all_36_1, e3) = all_65_12
% 173.35/26.40 | | | | | | | | | | | | | | |
% 173.35/26.40 | | | | | | | | | | | | | | | REDUCE: (649), (7230) imply:
% 173.35/26.40 | | | | | | | | | | | | | | | (7244) op(all_36_1, e0) = all_65_15
% 173.35/26.40 | | | | | | | | | | | | | | |
% 173.35/26.40 | | | | | | | | | | | | | | | REDUCE: (761), (7232) imply:
% 173.35/26.40 | | | | | | | | | | | | | | | (7245) op(e0, all_36_1) = all_65_73
% 173.35/26.40 | | | | | | | | | | | | | | |
% 173.35/26.40 | | | | | | | | | | | | | | | REDUCE: (752), (7230) imply:
% 173.35/26.40 | | | | | | | | | | | | | | | (7246) op(e0, all_36_1) = all_65_55
% 173.35/26.40 | | | | | | | | | | | | | | |
% 173.35/26.40 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_73, all_65_55,
% 173.35/26.40 | | | | | | | | | | | | | | | all_36_1, e0, simplifying with (7245), (7246)
% 173.35/26.40 | | | | | | | | | | | | | | | gives:
% 173.35/26.40 | | | | | | | | | | | | | | | (7247) all_65_55 = all_65_73
% 173.35/26.40 | | | | | | | | | | | | | | |
% 173.35/26.40 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_55, all_65_15, e0,
% 173.35/26.40 | | | | | | | | | | | | | | | all_36_1, simplifying with (7242), (7244) gives:
% 173.35/26.40 | | | | | | | | | | | | | | | (7248) all_65_15 = all_65_55
% 173.35/26.40 | | | | | | | | | | | | | | |
% 173.35/26.40 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_20_2, all_65_12, e3,
% 173.35/26.40 | | | | | | | | | | | | | | | all_36_1, simplifying with (7241), (7243) gives:
% 173.35/26.40 | | | | | | | | | | | | | | | (7249) all_65_12 = all_20_2
% 173.35/26.40 | | | | | | | | | | | | | | |
% 173.35/26.40 | | | | | | | | | | | | | | | COMBINE_EQS: (7247), (7248) imply:
% 173.35/26.40 | | | | | | | | | | | | | | | (7250) all_65_15 = all_65_73
% 173.35/26.40 | | | | | | | | | | | | | | |
% 173.35/26.40 | | | | | | | | | | | | | | | REDUCE: (713), (7250) imply:
% 173.35/26.40 | | | | | | | | | | | | | | | (7251) op(e3, all_20_2) = all_65_73
% 173.35/26.40 | | | | | | | | | | | | | | |
% 173.35/26.40 | | | | | | | | | | | | | | | BETA: splitting (110) gives:
% 173.35/26.40 | | | | | | | | | | | | | | |
% 173.35/26.40 | | | | | | | | | | | | | | | Case 1:
% 173.35/26.40 | | | | | | | | | | | | | | | |
% 173.35/26.40 | | | | | | | | | | | | | | | | (7252) ~ (all_42_2 = e1)
% 173.35/26.40 | | | | | | | | | | | | | | | |
% 173.35/26.40 | | | | | | | | | | | | | | | | REDUCE: (532), (7252) imply:
% 173.35/26.40 | | | | | | | | | | | | | | | | (7253) ~ (all_20_2 = e1)
% 173.35/26.40 | | | | | | | | | | | | | | | |
% 173.35/26.40 | | | | | | | | | | | | | | | | BETA: splitting (256) gives:
% 173.35/26.40 | | | | | | | | | | | | | | | |
% 173.35/26.40 | | | | | | | | | | | | | | | | Case 1:
% 173.35/26.40 | | | | | | | | | | | | | | | | |
% 173.35/26.40 | | | | | | | | | | | | | | | | | (7254) all_63_15 = e3
% 173.35/26.40 | | | | | | | | | | | | | | | | |
% 173.35/26.40 | | | | | | | | | | | | | | | | | REF_CLOSE: (422), (6980), (7254) are inconsistent by
% 173.35/26.40 | | | | | | | | | | | | | | | | | sub-proof #501.
% 173.35/26.40 | | | | | | | | | | | | | | | | |
% 173.35/26.40 | | | | | | | | | | | | | | | | Case 2:
% 173.35/26.40 | | | | | | | | | | | | | | | | |
% 173.35/26.40 | | | | | | | | | | | | | | | | | (7255) all_63_15 = e2 | all_63_15 = e1 | all_63_15 = e0
% 173.35/26.40 | | | | | | | | | | | | | | | | |
% 173.35/26.40 | | | | | | | | | | | | | | | | | BETA: splitting (7255) gives:
% 173.35/26.40 | | | | | | | | | | | | | | | | |
% 173.35/26.40 | | | | | | | | | | | | | | | | | Case 1:
% 173.35/26.40 | | | | | | | | | | | | | | | | | |
% 173.35/26.40 | | | | | | | | | | | | | | | | | | (7256) all_63_15 = e2
% 173.35/26.40 | | | | | | | | | | | | | | | | | |
% 173.35/26.40 | | | | | | | | | | | | | | | | | | REF_CLOSE: (422), (5859), (7256) are inconsistent by
% 173.35/26.40 | | | | | | | | | | | | | | | | | | sub-proof #500.
% 173.35/26.40 | | | | | | | | | | | | | | | | | |
% 173.35/26.40 | | | | | | | | | | | | | | | | | Case 2:
% 173.35/26.40 | | | | | | | | | | | | | | | | | |
% 173.35/26.40 | | | | | | | | | | | | | | | | | | (7257) all_63_15 = e1 | all_63_15 = e0
% 173.35/26.40 | | | | | | | | | | | | | | | | | |
% 173.35/26.40 | | | | | | | | | | | | | | | | | | BETA: splitting (7257) gives:
% 173.35/26.40 | | | | | | | | | | | | | | | | | |
% 173.35/26.40 | | | | | | | | | | | | | | | | | | Case 1:
% 173.35/26.40 | | | | | | | | | | | | | | | | | | |
% 173.35/26.40 | | | | | | | | | | | | | | | | | | | (7258) all_63_15 = e1
% 173.35/26.40 | | | | | | | | | | | | | | | | | | |
% 173.35/26.40 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (422), (7253), (7258) are inconsistent by
% 173.35/26.40 | | | | | | | | | | | | | | | | | | | sub-proof #499.
% 173.35/26.40 | | | | | | | | | | | | | | | | | | |
% 173.35/26.40 | | | | | | | | | | | | | | | | | | Case 2:
% 173.35/26.40 | | | | | | | | | | | | | | | | | | |
% 173.35/26.40 | | | | | | | | | | | | | | | | | | | (7259) all_63_15 = e0
% 173.35/26.40 | | | | | | | | | | | | | | | | | | |
% 173.35/26.40 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (422), (7259) imply:
% 173.35/26.40 | | | | | | | | | | | | | | | | | | | (7260) all_20_2 = e0
% 173.35/26.40 | | | | | | | | | | | | | | | | | | |
% 173.35/26.40 | | | | | | | | | | | | | | | | | | | SIMP: (7260) implies:
% 173.35/26.40 | | | | | | | | | | | | | | | | | | | (7261) all_20_2 = e0
% 173.35/26.40 | | | | | | | | | | | | | | | | | | |
% 173.35/26.40 | | | | | | | | | | | | | | | | | | | REDUCE: (627), (7261) imply:
% 173.35/26.40 | | | | | | | | | | | | | | | | | | | (7262) ~ (all_61_14 = e0)
% 173.35/26.40 | | | | | | | | | | | | | | | | | | |
% 173.35/26.40 | | | | | | | | | | | | | | | | | | | REDUCE: (7241), (7261) imply:
% 173.35/26.40 | | | | | | | | | | | | | | | | | | | (7263) op(all_36_1, e3) = e0
% 173.35/26.40 | | | | | | | | | | | | | | | | | | |
% 173.35/26.40 | | | | | | | | | | | | | | | | | | | REDUCE: (6940), (7261) imply:
% 173.35/26.40 | | | | | | | | | | | | | | | | | | | (7264) op(all_22_1, e2) = e0
% 173.35/26.40 | | | | | | | | | | | | | | | | | | |
% 173.35/26.40 | | | | | | | | | | | | | | | | | | | REDUCE: (7251), (7261) imply:
% 173.35/26.40 | | | | | | | | | | | | | | | | | | | (7265) op(e3, e0) = all_65_73
% 173.35/26.40 | | | | | | | | | | | | | | | | | | |
% 173.35/26.40 | | | | | | | | | | | | | | | | | | | REDUCE: (6976), (7261) imply:
% 173.35/26.40 | | | | | | | | | | | | | | | | | | | (7266) op(e2, e0) = all_65_75
% 173.35/26.40 | | | | | | | | | | | | | | | | | | |
% 173.35/26.40 | | | | | | | | | | | | | | | | | | | REDUCE: (6978), (7261) imply:
% 173.35/26.40 | | | | | | | | | | | | | | | | | | | (7267) op(e1, e0) = all_65_77
% 173.35/26.40 | | | | | | | | | | | | | | | | | | |
% 173.35/26.40 | | | | | | | | | | | | | | | | | | | REDUCE: (764), (7261) imply:
% 173.35/26.40 | | | | | | | | | | | | | | | | | | | (7268) op(e0, e0) = all_65_78
% 173.35/26.40 | | | | | | | | | | | | | | | | | | |
% 173.35/26.40 | | | | | | | | | | | | | | | | | | | REDUCE: (76), (7261) imply:
% 173.35/26.40 | | | | | | | | | | | | | | | | | | | (7269) op(e0, e0) = e0
% 173.35/26.40 | | | | | | | | | | | | | | | | | | |
% 173.35/26.40 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e0, all_65_78, e0, e0,
% 173.35/26.40 | | | | | | | | | | | | | | | | | | | simplifying with (7268), (7269) gives:
% 173.35/26.40 | | | | | | | | | | | | | | | | | | | (7270) all_65_78 = e0
% 173.35/26.40 | | | | | | | | | | | | | | | | | | |
% 173.35/26.40 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_14, all_65_77, e0,
% 173.35/26.40 | | | | | | | | | | | | | | | | | | | e1, simplifying with (227), (7267) gives:
% 173.35/26.40 | | | | | | | | | | | | | | | | | | | (7271) all_65_77 = all_61_14
% 173.35/26.40 | | | | | | | | | | | | | | | | | | |
% 173.35/26.40 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_22_1, all_65_75, e0,
% 173.35/26.40 | | | | | | | | | | | | | | | | | | | e2, simplifying with (6885), (7266) gives:
% 173.35/26.40 | | | | | | | | | | | | | | | | | | | (7272) all_65_75 = all_22_1
% 173.35/26.40 | | | | | | | | | | | | | | | | | | |
% 173.35/26.40 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_36_1, all_65_73, e0,
% 173.35/26.40 | | | | | | | | | | | | | | | | | | | e3, simplifying with (7204), (7265) gives:
% 173.35/26.40 | | | | | | | | | | | | | | | | | | | (7273) all_65_73 = all_36_1
% 173.35/26.40 | | | | | | | | | | | | | | | | | | |
% 173.35/26.40 | | | | | | | | | | | | | | | | | | | BETA: splitting (158) gives:
% 173.35/26.40 | | | | | | | | | | | | | | | | | | |
% 173.35/26.40 | | | | | | | | | | | | | | | | | | | Case 1:
% 173.35/26.40 | | | | | | | | | | | | | | | | | | | |
% 173.35/26.40 | | | | | | | | | | | | | | | | | | | | (7274) ~ (all_58_3 = e2)
% 173.35/26.40 | | | | | | | | | | | | | | | | | | | |
% 173.35/26.40 | | | | | | | | | | | | | | | | | | | | REDUCE: (475), (7274) imply:
% 173.35/26.40 | | | | | | | | | | | | | | | | | | | | (7275) ~ (all_52_3 = e2)
% 173.35/26.40 | | | | | | | | | | | | | | | | | | | |
% 173.35/26.40 | | | | | | | | | | | | | | | | | | | | BETA: splitting (157) gives:
% 173.35/26.40 | | | | | | | | | | | | | | | | | | | |
% 173.35/26.40 | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.35/26.40 | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.40 | | | | | | | | | | | | | | | | | | | | | (7276) ~ (all_58_3 = e1)
% 173.35/26.40 | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.40 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (10), (50), (148), (159), (227), (269),
% 173.35/26.40 | | | | | | | | | | | | | | | | | | | | | (475), (484), (489), (539), (630), (714), (765),
% 173.35/26.40 | | | | | | | | | | | | | | | | | | | | | (5773), (6932), (7204), (7208), (7237), (7263),
% 173.35/26.40 | | | | | | | | | | | | | | | | | | | | | (7269), (7275), (7276) are inconsistent by
% 173.35/26.40 | | | | | | | | | | | | | | | | | | | | | sub-proof #257.
% 173.35/26.40 | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.40 | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.35/26.40 | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.40 | | | | | | | | | | | | | | | | | | | | | (7277) all_58_2 = e0
% 173.35/26.40 | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.40 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (478), (7277) imply:
% 173.35/26.40 | | | | | | | | | | | | | | | | | | | | | (7278) all_52_2 = e0
% 173.35/26.40 | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.40 | | | | | | | | | | | | | | | | | | | | | SIMP: (7278) implies:
% 173.35/26.40 | | | | | | | | | | | | | | | | | | | | | (7279) all_52_2 = e0
% 173.35/26.40 | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.40 | | | | | | | | | | | | | | | | | | | | | REDUCE: (748), (7279) imply:
% 173.35/26.40 | | | | | | | | | | | | | | | | | | | | | (7280) op(e1, e0) = unit
% 173.35/26.40 | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.40 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_14, unit, e0, e1,
% 173.35/26.40 | | | | | | | | | | | | | | | | | | | | | simplifying with (227), (7280) gives:
% 173.35/26.40 | | | | | | | | | | | | | | | | | | | | | (7281) all_61_14 = unit
% 173.35/26.40 | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.40 | | | | | | | | | | | | | | | | | | | | | REDUCE: (6932), (7281) imply:
% 173.35/26.40 | | | | | | | | | | | | | | | | | | | | | (7282) ~ (all_61_8 = unit)
% 173.35/26.40 | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.40 | | | | | | | | | | | | | | | | | | | | | REDUCE: (5816), (7281) imply:
% 173.35/26.40 | | | | | | | | | | | | | | | | | | | | | (7283) ~ (all_10_1 = unit)
% 173.35/26.40 | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.40 | | | | | | | | | | | | | | | | | | | | | SIMP: (7283) implies:
% 173.35/26.40 | | | | | | | | | | | | | | | | | | | | | (7284) ~ (all_10_1 = unit)
% 173.35/26.40 | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.40 | | | | | | | | | | | | | | | | | | | | | REDUCE: (5776), (7281) imply:
% 173.35/26.40 | | | | | | | | | | | | | | | | | | | | | (7285) ~ (unit = e2)
% 173.35/26.40 | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.40 | | | | | | | | | | | | | | | | | | | | | REDUCE: (7262), (7281) imply:
% 173.35/26.40 | | | | | | | | | | | | | | | | | | | | | (7286) ~ (unit = e0)
% 173.35/26.40 | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.40 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (852) gives:
% 173.35/26.40 | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.40 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.35/26.40 | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.40 | | | | | | | | | | | | | | | | | | | | | | (7287) unit = e2
% 173.35/26.40 | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.40 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7285), (7287) imply:
% 173.35/26.40 | | | | | | | | | | | | | | | | | | | | | | (7288) $false
% 173.35/26.40 | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.40 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (7288) is inconsistent.
% 173.35/26.40 | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.40 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.35/26.40 | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.40 | | | | | | | | | | | | | | | | | | | | | | (7289) unit = e1 | unit = e0
% 173.35/26.40 | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.40 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7289) gives:
% 173.35/26.40 | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.40 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.35/26.40 | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.40 | | | | | | | | | | | | | | | | | | | | | | | (7290) unit = e1
% 173.35/26.40 | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.40 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7282), (7290) imply:
% 173.35/26.40 | | | | | | | | | | | | | | | | | | | | | | | (7291) ~ (all_61_8 = e1)
% 173.35/26.40 | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.40 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7284), (7290) imply:
% 173.35/26.40 | | | | | | | | | | | | | | | | | | | | | | | (7292) ~ (all_10_1 = e1)
% 173.35/26.40 | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.40 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (265) gives:
% 173.35/26.40 | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.40 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.35/26.40 | | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.40 | | | | | | | | | | | | | | | | | | | | | | | | (7293) all_63_6 = e3
% 173.35/26.40 | | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.40 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5809), (7293) imply:
% 173.35/26.40 | | | | | | | | | | | | | | | | | | | | | | | | (7294) all_10_1 = e3
% 173.35/26.40 | | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.40 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5817), (7294) imply:
% 173.35/26.40 | | | | | | | | | | | | | | | | | | | | | | | | (7295) ~ (all_61_8 = e3)
% 173.35/26.40 | | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.40 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (269), (489), (5773), (7208), (7291), (7295) are
% 173.35/26.40 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #400.
% 173.35/26.40 | | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.40 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.35/26.40 | | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.40 | | | | | | | | | | | | | | | | | | | | | | | | (7296) all_63_6 = e2 | all_63_6 = e1 | all_63_6 = e0
% 173.35/26.40 | | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.40 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5809), (5823), (6892), (7292), (7296) are
% 173.35/26.40 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #288.
% 173.35/26.40 | | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.40 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.35/26.40 | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.40 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.35/26.40 | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.40 | | | | | | | | | | | | | | | | | | | | | | | (7297) ~ (unit = e1)
% 173.35/26.40 | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.40 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7286), (7289), (7297) are inconsistent by
% 173.35/26.40 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #419.
% 173.35/26.40 | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.40 | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.35/26.40 | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.40 | | | | | | | | | | | | | | | | | | | | | End of split
% 173.35/26.40 | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.40 | | | | | | | | | | | | | | | | | | | | End of split
% 173.35/26.40 | | | | | | | | | | | | | | | | | | | |
% 173.35/26.40 | | | | | | | | | | | | | | | | | | | Case 2:
% 173.35/26.40 | | | | | | | | | | | | | | | | | | | |
% 173.35/26.40 | | | | | | | | | | | | | | | | | | | | (7298) all_58_3 = e2
% 173.35/26.40 | | | | | | | | | | | | | | | | | | | | (7299) all_58_1 = e0
% 173.35/26.40 | | | | | | | | | | | | | | | | | | | |
% 173.35/26.40 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (50), (475), (481), (632), (731), (6885),
% 173.35/26.40 | | | | | | | | | | | | | | | | | | | | (7264), (7298), (7299) are inconsistent by
% 173.35/26.40 | | | | | | | | | | | | | | | | | | | | sub-proof #256.
% 173.35/26.40 | | | | | | | | | | | | | | | | | | | |
% 173.35/26.40 | | | | | | | | | | | | | | | | | | | End of split
% 173.35/26.40 | | | | | | | | | | | | | | | | | | |
% 173.35/26.40 | | | | | | | | | | | | | | | | | | End of split
% 173.35/26.40 | | | | | | | | | | | | | | | | | |
% 173.35/26.40 | | | | | | | | | | | | | | | | | End of split
% 173.35/26.40 | | | | | | | | | | | | | | | | |
% 173.35/26.40 | | | | | | | | | | | | | | | | End of split
% 173.35/26.40 | | | | | | | | | | | | | | | |
% 173.35/26.40 | | | | | | | | | | | | | | | Case 2:
% 173.35/26.40 | | | | | | | | | | | | | | | |
% 173.35/26.40 | | | | | | | | | | | | | | | | (7300) all_42_2 = e1
% 173.35/26.40 | | | | | | | | | | | | | | | | (7301) op(e0, e1) = all_42_1 & $i(all_42_1) & ( ~
% 173.35/26.40 | | | | | | | | | | | | | | | | (all_42_1 = e3) | ( ~ (all_42_0 = e2) & op(e3,
% 173.35/26.40 | | | | | | | | | | | | | | | | e0) = all_42_0 & $i(all_42_0)))
% 173.35/26.40 | | | | | | | | | | | | | | | |
% 173.35/26.40 | | | | | | | | | | | | | | | | ALPHA: (7301) implies:
% 173.35/26.40 | | | | | | | | | | | | | | | | (7302) op(e0, e1) = all_42_1
% 173.35/26.40 | | | | | | | | | | | | | | | |
% 173.35/26.40 | | | | | | | | | | | | | | | | COMBINE_EQS: (532), (7300) imply:
% 173.35/26.40 | | | | | | | | | | | | | | | | (7303) all_20_2 = e1
% 173.35/26.40 | | | | | | | | | | | | | | | |
% 173.35/26.40 | | | | | | | | | | | | | | | | SIMP: (7303) implies:
% 173.35/26.40 | | | | | | | | | | | | | | | | (7304) all_20_2 = e1
% 173.35/26.40 | | | | | | | | | | | | | | | |
% 173.35/26.40 | | | | | | | | | | | | | | | | COMBINE_EQS: (582), (7304) imply:
% 173.35/26.40 | | | | | | | | | | | | | | | | (7305) all_50_2 = e1
% 173.35/26.40 | | | | | | | | | | | | | | | |
% 173.35/26.40 | | | | | | | | | | | | | | | | REDUCE: (627), (7304) imply:
% 173.35/26.40 | | | | | | | | | | | | | | | | (7306) ~ (all_61_14 = e1)
% 173.35/26.40 | | | | | | | | | | | | | | | |
% 173.35/26.40 | | | | | | | | | | | | | | | | REDUCE: (7239), (7304) imply:
% 173.35/26.40 | | | | | | | | | | | | | | | | (7307) ~ (all_36_1 = e1)
% 173.35/26.40 | | | | | | | | | | | | | | | |
% 173.35/26.40 | | | | | | | | | | | | | | | | REDUCE: (6936), (7304) imply:
% 173.35/26.40 | | | | | | | | | | | | | | | | (7308) ~ (all_22_1 = e1)
% 173.35/26.40 | | | | | | | | | | | | | | | |
% 173.35/26.40 | | | | | | | | | | | | | | | | REDUCE: (694), (7304) imply:
% 173.35/26.40 | | | | | | | | | | | | | | | | (7309) op(e1, e3) = all_65_73
% 173.35/26.40 | | | | | | | | | | | | | | | |
% 173.35/26.40 | | | | | | | | | | | | | | | | REDUCE: (697), (7304) imply:
% 173.35/26.40 | | | | | | | | | | | | | | | | (7310) op(e1, e0) = all_65_78
% 173.35/26.40 | | | | | | | | | | | | | | | |
% 173.35/26.40 | | | | | | | | | | | | | | | | REDUCE: (7251), (7304) imply:
% 173.35/26.40 | | | | | | | | | | | | | | | | (7311) op(e3, e1) = all_65_73
% 173.35/26.40 | | | | | | | | | | | | | | | |
% 173.35/26.40 | | | | | | | | | | | | | | | | REDUCE: (6976), (7304) imply:
% 173.35/26.40 | | | | | | | | | | | | | | | | (7312) op(e2, e1) = all_65_75
% 173.35/26.40 | | | | | | | | | | | | | | | |
% 173.35/26.40 | | | | | | | | | | | | | | | | REDUCE: (6978), (7304) imply:
% 173.35/26.40 | | | | | | | | | | | | | | | | (7313) op(e1, e1) = all_65_77
% 173.35/26.40 | | | | | | | | | | | | | | | |
% 173.35/26.40 | | | | | | | | | | | | | | | | REDUCE: (764), (7304) imply:
% 173.35/26.40 | | | | | | | | | | | | | | | | (7314) op(e0, e1) = all_65_78
% 173.35/26.40 | | | | | | | | | | | | | | | |
% 173.35/26.40 | | | | | | | | | | | | | | | | REDUCE: (76), (7304) imply:
% 173.35/26.40 | | | | | | | | | | | | | | | | (7315) op(e0, e0) = e1
% 173.35/26.40 | | | | | | | | | | | | | | | |
% 173.35/26.40 | | | | | | | | | | | | | | | | BETA: splitting (122) gives:
% 173.35/26.40 | | | | | | | | | | | | | | | |
% 173.35/26.40 | | | | | | | | | | | | | | | | Case 1:
% 173.35/26.40 | | | | | | | | | | | | | | | | |
% 173.35/26.40 | | | | | | | | | | | | | | | | | (7316) ~ (all_50_2 = e1)
% 173.35/26.40 | | | | | | | | | | | | | | | | |
% 173.35/26.40 | | | | | | | | | | | | | | | | | REDUCE: (7305), (7316) imply:
% 173.35/26.40 | | | | | | | | | | | | | | | | | (7317) $false
% 173.35/26.40 | | | | | | | | | | | | | | | | |
% 173.35/26.40 | | | | | | | | | | | | | | | | | CLOSE: (7317) is inconsistent.
% 173.35/26.40 | | | | | | | | | | | | | | | | |
% 173.35/26.40 | | | | | | | | | | | | | | | | Case 2:
% 173.35/26.40 | | | | | | | | | | | | | | | | |
% 173.35/26.40 | | | | | | | | | | | | | | | | | (7318) op(e0, e1) = all_50_1 & $i(all_50_1) & ( ~
% 173.35/26.40 | | | | | | | | | | | | | | | | | (all_50_1 = e2) | ( ~ (all_50_0 = e3) & op(e2,
% 173.35/26.40 | | | | | | | | | | | | | | | | | e0) = all_50_0 & $i(all_50_0)))
% 173.35/26.40 | | | | | | | | | | | | | | | | |
% 173.35/26.40 | | | | | | | | | | | | | | | | | ALPHA: (7318) implies:
% 173.35/26.40 | | | | | | | | | | | | | | | | | (7319) op(e0, e1) = all_50_1
% 173.35/26.40 | | | | | | | | | | | | | | | | |
% 173.35/26.40 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_50_1, all_65_78, e1,
% 173.35/26.40 | | | | | | | | | | | | | | | | | e0, simplifying with (7314), (7319) gives:
% 173.35/26.40 | | | | | | | | | | | | | | | | | (7320) all_65_78 = all_50_1
% 173.35/26.40 | | | | | | | | | | | | | | | | |
% 173.35/26.40 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_42_1, all_65_78, e1,
% 173.35/26.40 | | | | | | | | | | | | | | | | | e0, simplifying with (7302), (7314) gives:
% 173.35/26.40 | | | | | | | | | | | | | | | | | (7321) all_65_78 = all_42_1
% 173.35/26.40 | | | | | | | | | | | | | | | | |
% 173.35/26.40 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_14, all_65_78, e0,
% 173.35/26.40 | | | | | | | | | | | | | | | | | e1, simplifying with (227), (7310) gives:
% 173.35/26.40 | | | | | | | | | | | | | | | | | (7322) all_65_78 = all_61_14
% 173.35/26.40 | | | | | | | | | | | | | | | | |
% 173.35/26.40 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e2, all_65_77, e1, e1,
% 173.35/26.40 | | | | | | | | | | | | | | | | | simplifying with (5784), (7313) gives:
% 173.35/26.40 | | | | | | | | | | | | | | | | | (7323) all_65_77 = e2
% 173.35/26.40 | | | | | | | | | | | | | | | | |
% 173.35/26.40 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_2, all_65_73, e3,
% 173.35/26.40 | | | | | | | | | | | | | | | | | e1, simplifying with (230), (7309) gives:
% 173.35/26.40 | | | | | | | | | | | | | | | | | (7324) all_65_73 = all_61_2
% 173.35/26.40 | | | | | | | | | | | | | | | | |
% 173.35/26.40 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_10_1, all_65_75, e1,
% 173.35/26.40 | | | | | | | | | | | | | | | | | e2, simplifying with (5838), (7312) gives:
% 173.35/26.40 | | | | | | | | | | | | | | | | | (7325) all_65_75 = all_10_1
% 173.35/26.40 | | | | | | | | | | | | | | | | |
% 173.35/26.40 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_8, all_65_73, e1,
% 173.35/26.40 | | | | | | | | | | | | | | | | | e3, simplifying with (236), (7311) gives:
% 173.35/26.40 | | | | | | | | | | | | | | | | | (7326) all_65_73 = all_61_8
% 173.35/26.40 | | | | | | | | | | | | | | | | |
% 173.35/26.40 | | | | | | | | | | | | | | | | | COMBINE_EQS: (7324), (7326) imply:
% 173.35/26.40 | | | | | | | | | | | | | | | | | (7327) all_61_2 = all_61_8
% 173.35/26.40 | | | | | | | | | | | | | | | | |
% 173.35/26.40 | | | | | | | | | | | | | | | | | SIMP: (7327) implies:
% 173.35/26.40 | | | | | | | | | | | | | | | | | (7328) all_61_2 = all_61_8
% 173.35/26.40 | | | | | | | | | | | | | | | | |
% 173.35/26.40 | | | | | | | | | | | | | | | | | COMBINE_EQS: (7321), (7322) imply:
% 173.35/26.40 | | | | | | | | | | | | | | | | | (7329) all_61_14 = all_42_1
% 173.35/26.40 | | | | | | | | | | | | | | | | |
% 173.35/26.40 | | | | | | | | | | | | | | | | | COMBINE_EQS: (7320), (7322) imply:
% 173.35/26.40 | | | | | | | | | | | | | | | | | (7330) all_61_14 = all_50_1
% 173.35/26.40 | | | | | | | | | | | | | | | | |
% 173.35/26.40 | | | | | | | | | | | | | | | | | COMBINE_EQS: (7329), (7330) imply:
% 173.35/26.40 | | | | | | | | | | | | | | | | | (7331) all_50_1 = all_42_1
% 173.35/26.40 | | | | | | | | | | | | | | | | |
% 173.35/26.40 | | | | | | | | | | | | | | | | | COMBINE_EQS: (499), (7328) imply:
% 173.35/26.40 | | | | | | | | | | | | | | | | | (7332) all_63_8 = all_61_8
% 173.35/26.40 | | | | | | | | | | | | | | | | |
% 173.35/26.40 | | | | | | | | | | | | | | | | | REDUCE: (216), (7328) imply:
% 173.35/26.40 | | | | | | | | | | | | | | | | | (7333) ~ (all_61_1 = all_61_8)
% 173.35/26.40 | | | | | | | | | | | | | | | | |
% 173.35/26.40 | | | | | | | | | | | | | | | | | REDUCE: (5776), (7329) imply:
% 173.35/26.41 | | | | | | | | | | | | | | | | | (7334) ~ (all_42_1 = e2)
% 173.35/26.41 | | | | | | | | | | | | | | | | |
% 173.35/26.41 | | | | | | | | | | | | | | | | | REDUCE: (7306), (7329) imply:
% 173.35/26.41 | | | | | | | | | | | | | | | | | (7335) ~ (all_42_1 = e1)
% 173.35/26.41 | | | | | | | | | | | | | | | | |
% 173.35/26.41 | | | | | | | | | | | | | | | | | REDUCE: (668), (7328) imply:
% 173.35/26.41 | | | | | | | | | | | | | | | | | (7336) op(all_61_8, e1) = all_65_34
% 173.35/26.41 | | | | | | | | | | | | | | | | |
% 173.35/26.41 | | | | | | | | | | | | | | | | | REDUCE: (6973), (7325) imply:
% 173.35/26.41 | | | | | | | | | | | | | | | | | (7337) op(all_22_1, e0) = all_10_1
% 173.35/26.41 | | | | | | | | | | | | | | | | |
% 173.35/26.41 | | | | | | | | | | | | | | | | | REDUCE: (6975), (7329) imply:
% 173.35/26.41 | | | | | | | | | | | | | | | | | (7338) op(e2, all_42_1) = all_65_67
% 173.35/26.41 | | | | | | | | | | | | | | | | |
% 173.35/26.41 | | | | | | | | | | | | | | | | | REDUCE: (5839), (7328) imply:
% 173.35/26.41 | | | | | | | | | | | | | | | | | (7339) op(e1, all_61_8) = all_61_1
% 173.35/26.41 | | | | | | | | | | | | | | | | |
% 173.35/26.41 | | | | | | | | | | | | | | | | | REDUCE: (6977), (7329) imply:
% 173.35/26.41 | | | | | | | | | | | | | | | | | (7340) op(e1, all_42_1) = all_22_1
% 173.35/26.41 | | | | | | | | | | | | | | | | |
% 173.35/26.41 | | | | | | | | | | | | | | | | | REDUCE: (227), (7329) imply:
% 173.35/26.41 | | | | | | | | | | | | | | | | | (7341) op(e1, e0) = all_42_1
% 173.35/26.41 | | | | | | | | | | | | | | | | |
% 173.35/26.41 | | | | | | | | | | | | | | | | | REDUCE: (6955), (7323), (7329) imply:
% 173.35/26.41 | | | | | | | | | | | | | | | | | (7342) op(e0, all_42_1) = e2
% 173.35/26.41 | | | | | | | | | | | | | | | | |
% 173.35/26.41 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_34, all_61_1,
% 173.35/26.41 | | | | | | | | | | | | | | | | | all_61_8, e1, simplifying with (734), (7339)
% 173.35/26.41 | | | | | | | | | | | | | | | | | gives:
% 173.35/26.41 | | | | | | | | | | | | | | | | | (7343) all_65_34 = all_61_1
% 173.35/26.41 | | | | | | | | | | | | | | | | |
% 173.35/26.41 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_4, all_65_34, e1,
% 173.35/26.41 | | | | | | | | | | | | | | | | | all_61_8, simplifying with (5828), (7336) gives:
% 173.35/26.41 | | | | | | | | | | | | | | | | | (7344) all_65_34 = all_61_4
% 173.35/26.41 | | | | | | | | | | | | | | | | |
% 173.35/26.41 | | | | | | | | | | | | | | | | | COMBINE_EQS: (7343), (7344) imply:
% 173.35/26.41 | | | | | | | | | | | | | | | | | (7345) all_61_1 = all_61_4
% 173.35/26.41 | | | | | | | | | | | | | | | | |
% 173.35/26.41 | | | | | | | | | | | | | | | | | REDUCE: (7236), (7345) imply:
% 173.35/26.41 | | | | | | | | | | | | | | | | | (7346) ~ (all_61_4 = all_36_1)
% 173.35/26.41 | | | | | | | | | | | | | | | | |
% 173.35/26.41 | | | | | | | | | | | | | | | | | REDUCE: (6929), (7345) imply:
% 173.35/26.41 | | | | | | | | | | | | | | | | | (7347) ~ (all_61_4 = all_22_1)
% 173.35/26.41 | | | | | | | | | | | | | | | | |
% 173.35/26.41 | | | | | | | | | | | | | | | | | REDUCE: (6890), (7345) imply:
% 173.35/26.41 | | | | | | | | | | | | | | | | | (7348) ~ (all_61_4 = e0)
% 173.35/26.41 | | | | | | | | | | | | | | | | |
% 173.35/26.41 | | | | | | | | | | | | | | | | | BETA: splitting (157) gives:
% 173.35/26.41 | | | | | | | | | | | | | | | | |
% 173.35/26.41 | | | | | | | | | | | | | | | | | Case 1:
% 173.35/26.41 | | | | | | | | | | | | | | | | | |
% 173.35/26.41 | | | | | | | | | | | | | | | | | | (7349) ~ (all_58_3 = e1)
% 173.35/26.41 | | | | | | | | | | | | | | | | | |
% 173.35/26.41 | | | | | | | | | | | | | | | | | | REDUCE: (475), (7349) imply:
% 173.35/26.41 | | | | | | | | | | | | | | | | | | (7350) ~ (all_52_3 = e1)
% 173.35/26.41 | | | | | | | | | | | | | | | | | |
% 173.35/26.41 | | | | | | | | | | | | | | | | | | BETA: splitting (160) gives:
% 173.35/26.41 | | | | | | | | | | | | | | | | | |
% 173.35/26.41 | | | | | | | | | | | | | | | | | | Case 1:
% 173.35/26.41 | | | | | | | | | | | | | | | | | | |
% 173.35/26.41 | | | | | | | | | | | | | | | | | | | (7351) ~ (all_58_2 = e0)
% 173.35/26.41 | | | | | | | | | | | | | | | | | | |
% 173.35/26.41 | | | | | | | | | | | | | | | | | | | REDUCE: (478), (7351) imply:
% 173.35/26.41 | | | | | | | | | | | | | | | | | | | (7352) ~ (all_52_2 = e0)
% 173.35/26.41 | | | | | | | | | | | | | | | | | | |
% 173.35/26.41 | | | | | | | | | | | | | | | | | | | BETA: splitting (164) gives:
% 173.35/26.41 | | | | | | | | | | | | | | | | | | |
% 173.35/26.41 | | | | | | | | | | | | | | | | | | | Case 1:
% 173.35/26.41 | | | | | | | | | | | | | | | | | | | |
% 173.35/26.41 | | | | | | | | | | | | | | | | | | | | (7353) ~ (all_58_1 = e1)
% 173.35/26.41 | | | | | | | | | | | | | | | | | | | |
% 173.35/26.41 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (5), (7), (8), (18), (19), (50), (149),
% 173.35/26.41 | | | | | | | | | | | | | | | | | | | | (150), (158), (163), (165), (264), (475), (481),
% 173.35/26.41 | | | | | | | | | | | | | | | | | | | | (484), (536), (538), (629), (631), (731), (748),
% 173.35/26.41 | | | | | | | | | | | | | | | | | | | | (851), (852), (5784), (5838), (6885), (6900),
% 173.35/26.41 | | | | | | | | | | | | | | | | | | | | (6928), (6938), (6941), (7308), (7315), (7337),
% 173.35/26.41 | | | | | | | | | | | | | | | | | | | | (7352), (7353) are inconsistent by sub-proof #260.
% 173.35/26.41 | | | | | | | | | | | | | | | | | | | |
% 173.35/26.41 | | | | | | | | | | | | | | | | | | | Case 2:
% 173.35/26.41 | | | | | | | | | | | | | | | | | | | |
% 173.35/26.41 | | | | | | | | | | | | | | | | | | | | (7354) all_58_1 = e1
% 173.35/26.41 | | | | | | | | | | | | | | | | | | | |
% 173.35/26.41 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (481), (7354) imply:
% 173.35/26.41 | | | | | | | | | | | | | | | | | | | | (7355) all_52_1 = e1
% 173.35/26.41 | | | | | | | | | | | | | | | | | | | |
% 173.35/26.41 | | | | | | | | | | | | | | | | | | | | SIMP: (7355) implies:
% 173.35/26.41 | | | | | | | | | | | | | | | | | | | | (7356) all_52_1 = e1
% 173.35/26.41 | | | | | | | | | | | | | | | | | | | |
% 173.35/26.41 | | | | | | | | | | | | | | | | | | | | REDUCE: (731), (7356) imply:
% 173.35/26.41 | | | | | | | | | | | | | | | | | | | | (7357) op(e2, e1) = unit
% 173.35/26.41 | | | | | | | | | | | | | | | | | | | |
% 173.35/26.41 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_10_1, unit, e1, e2,
% 173.35/26.41 | | | | | | | | | | | | | | | | | | | | simplifying with (5838), (7357) gives:
% 173.35/26.41 | | | | | | | | | | | | | | | | | | | | (7358) all_10_1 = unit
% 173.35/26.41 | | | | | | | | | | | | | | | | | | | |
% 173.35/26.41 | | | | | | | | | | | | | | | | | | | | REDUCE: (5812), (7358) imply:
% 173.35/26.41 | | | | | | | | | | | | | | | | | | | | (7359) ~ (all_61_4 = unit)
% 173.35/26.41 | | | | | | | | | | | | | | | | | | | |
% 173.35/26.41 | | | | | | | | | | | | | | | | | | | | REDUCE: (5817), (7358) imply:
% 173.35/26.41 | | | | | | | | | | | | | | | | | | | | (7360) ~ (all_61_8 = unit)
% 173.35/26.41 | | | | | | | | | | | | | | | | | | | |
% 173.35/26.41 | | | | | | | | | | | | | | | | | | | | REDUCE: (6937), (7358) imply:
% 173.35/26.41 | | | | | | | | | | | | | | | | | | | | (7361) ~ (all_22_1 = unit)
% 173.35/26.41 | | | | | | | | | | | | | | | | | | | |
% 173.35/26.41 | | | | | | | | | | | | | | | | | | | | REDUCE: (5823), (7358) imply:
% 173.35/26.41 | | | | | | | | | | | | | | | | | | | | (7362) ~ (unit = e2)
% 173.35/26.41 | | | | | | | | | | | | | | | | | | | |
% 173.35/26.41 | | | | | | | | | | | | | | | | | | | | REDUCE: (6892), (7358) imply:
% 173.35/26.41 | | | | | | | | | | | | | | | | | | | | (7363) ~ (unit = e0)
% 173.35/26.41 | | | | | | | | | | | | | | | | | | | |
% 173.35/26.41 | | | | | | | | | | | | | | | | | | | | BETA: splitting (852) gives:
% 173.35/26.41 | | | | | | | | | | | | | | | | | | | |
% 173.35/26.41 | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.35/26.41 | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.41 | | | | | | | | | | | | | | | | | | | | | (7364) unit = e2
% 173.35/26.41 | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.41 | | | | | | | | | | | | | | | | | | | | | REDUCE: (7362), (7364) imply:
% 173.35/26.41 | | | | | | | | | | | | | | | | | | | | | (7365) $false
% 173.35/26.41 | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.41 | | | | | | | | | | | | | | | | | | | | | CLOSE: (7365) is inconsistent.
% 173.35/26.41 | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.41 | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.35/26.41 | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.41 | | | | | | | | | | | | | | | | | | | | | (7366) unit = e1 | unit = e0
% 173.35/26.41 | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.41 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7366) gives:
% 173.35/26.41 | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.41 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.35/26.41 | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.41 | | | | | | | | | | | | | | | | | | | | | | (7367) unit = e1
% 173.35/26.41 | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.41 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7359), (7367) imply:
% 173.35/26.41 | | | | | | | | | | | | | | | | | | | | | | (7368) ~ (all_61_4 = e1)
% 173.35/26.41 | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.41 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7360), (7367) imply:
% 173.35/26.41 | | | | | | | | | | | | | | | | | | | | | | (7369) ~ (all_61_8 = e1)
% 173.35/26.41 | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.41 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (263) gives:
% 173.35/26.41 | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.41 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.35/26.41 | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.41 | | | | | | | | | | | | | | | | | | | | | | | (7370) all_63_8 = e3
% 173.35/26.41 | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.41 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7332), (7370) imply:
% 173.35/26.41 | | | | | | | | | | | | | | | | | | | | | | | (7371) all_61_8 = e3
% 173.35/26.41 | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.41 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7371) implies:
% 173.35/26.41 | | | | | | | | | | | | | | | | | | | | | | | (7372) all_61_8 = e3
% 173.35/26.41 | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.41 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (201), (7372) imply:
% 173.35/26.41 | | | | | | | | | | | | | | | | | | | | | | | (7373) ~ (all_61_4 = e3)
% 173.35/26.41 | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.41 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (270) gives:
% 173.35/26.41 | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.41 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.35/26.41 | | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.41 | | | | | | | | | | | | | | | | | | | | | | | | (7374) all_63_1 = e3
% 173.35/26.41 | | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.41 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (488), (7374) imply:
% 173.35/26.41 | | | | | | | | | | | | | | | | | | | | | | | | (7375) all_61_4 = e3
% 173.35/26.41 | | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.41 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7373), (7375) imply:
% 173.35/26.41 | | | | | | | | | | | | | | | | | | | | | | | | (7376) $false
% 173.35/26.41 | | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.41 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (7376) is inconsistent.
% 173.35/26.41 | | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.41 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.35/26.41 | | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.41 | | | | | | | | | | | | | | | | | | | | | | | | (7377) all_63_1 = e2 | all_63_1 = e1 | all_63_1 = e0
% 173.35/26.41 | | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.41 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7377) gives:
% 173.35/26.41 | | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.41 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.35/26.41 | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | (7378) all_63_1 = e2
% 173.35/26.41 | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (488), (7378) imply:
% 173.35/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | (7379) all_61_4 = e2
% 173.35/26.41 | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7346), (7379) imply:
% 173.35/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | (7380) ~ (all_36_1 = e2)
% 173.35/26.41 | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7380) implies:
% 173.35/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | (7381) ~ (all_36_1 = e2)
% 173.35/26.41 | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7347), (7379) imply:
% 173.35/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | (7382) ~ (all_22_1 = e2)
% 173.35/26.41 | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7382) implies:
% 173.35/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | (7383) ~ (all_22_1 = e2)
% 173.35/26.41 | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (258), (268), (6927), (6938), (7235), (7238),
% 173.35/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | (7240), (7307), (7308), (7381), (7383) are
% 173.35/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #255.
% 173.35/26.41 | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.41 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.35/26.41 | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | (7384) all_63_1 = e1 | all_63_1 = e0
% 173.35/26.41 | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (488), (7348), (7368), (7384) are inconsistent by
% 173.35/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #486.
% 173.35/26.41 | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.41 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.35/26.41 | | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.41 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.35/26.41 | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.41 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.35/26.41 | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.41 | | | | | | | | | | | | | | | | | | | | | | | (7385) ~ (all_63_8 = e3)
% 173.35/26.41 | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.41 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7332), (7385) imply:
% 173.35/26.41 | | | | | | | | | | | | | | | | | | | | | | | (7386) ~ (all_61_8 = e3)
% 173.35/26.41 | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.41 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (269), (489), (5773), (7208), (7369), (7386) are
% 173.35/26.41 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #400.
% 173.35/26.41 | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.41 | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.35/26.41 | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.41 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.35/26.41 | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.41 | | | | | | | | | | | | | | | | | | | | | | (7387) ~ (unit = e1)
% 173.35/26.41 | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.41 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7363), (7366), (7387) are inconsistent by
% 173.35/26.41 | | | | | | | | | | | | | | | | | | | | | | sub-proof #419.
% 173.35/26.41 | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.41 | | | | | | | | | | | | | | | | | | | | | End of split
% 173.35/26.41 | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.41 | | | | | | | | | | | | | | | | | | | | End of split
% 173.35/26.41 | | | | | | | | | | | | | | | | | | | |
% 173.35/26.41 | | | | | | | | | | | | | | | | | | | End of split
% 173.35/26.41 | | | | | | | | | | | | | | | | | | |
% 173.35/26.41 | | | | | | | | | | | | | | | | | | Case 2:
% 173.35/26.41 | | | | | | | | | | | | | | | | | | |
% 173.35/26.41 | | | | | | | | | | | | | | | | | | | (7388) all_58_3 = e1
% 173.35/26.41 | | | | | | | | | | | | | | | | | | |
% 173.35/26.41 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (475), (7350), (7388) are inconsistent by
% 173.35/26.41 | | | | | | | | | | | | | | | | | | | sub-proof #460.
% 173.35/26.41 | | | | | | | | | | | | | | | | | | |
% 173.35/26.41 | | | | | | | | | | | | | | | | | | End of split
% 173.35/26.41 | | | | | | | | | | | | | | | | | |
% 173.35/26.41 | | | | | | | | | | | | | | | | | Case 2:
% 173.35/26.41 | | | | | | | | | | | | | | | | | |
% 173.35/26.41 | | | | | | | | | | | | | | | | | | (7389) all_58_2 = e0
% 173.35/26.41 | | | | | | | | | | | | | | | | | |
% 173.35/26.41 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (478), (7389) imply:
% 173.35/26.41 | | | | | | | | | | | | | | | | | | (7390) all_52_2 = e0
% 173.35/26.41 | | | | | | | | | | | | | | | | | |
% 173.35/26.41 | | | | | | | | | | | | | | | | | | SIMP: (7390) implies:
% 173.35/26.41 | | | | | | | | | | | | | | | | | | (7391) all_52_2 = e0
% 173.35/26.41 | | | | | | | | | | | | | | | | | |
% 173.35/26.41 | | | | | | | | | | | | | | | | | | REDUCE: (748), (7391) imply:
% 173.35/26.41 | | | | | | | | | | | | | | | | | | (7392) op(e1, e0) = unit
% 173.35/26.41 | | | | | | | | | | | | | | | | | |
% 173.35/26.41 | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (50), (852), (6885), (7315), (7334), (7335),
% 173.35/26.41 | | | | | | | | | | | | | | | | | | (7338), (7340), (7341), (7342), (7392) are
% 173.35/26.41 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #258.
% 173.35/26.41 | | | | | | | | | | | | | | | | | |
% 173.35/26.41 | | | | | | | | | | | | | | | | | End of split
% 173.35/26.41 | | | | | | | | | | | | | | | | |
% 173.35/26.41 | | | | | | | | | | | | | | | | End of split
% 173.35/26.41 | | | | | | | | | | | | | | | |
% 173.35/26.41 | | | | | | | | | | | | | | | End of split
% 173.35/26.41 | | | | | | | | | | | | | | |
% 173.35/26.41 | | | | | | | | | | | | | | End of split
% 173.35/26.41 | | | | | | | | | | | | | |
% 173.35/26.41 | | | | | | | | | | | | | End of split
% 173.35/26.41 | | | | | | | | | | | | |
% 173.35/26.41 | | | | | | | | | | | | Case 2:
% 173.35/26.41 | | | | | | | | | | | | |
% 173.35/26.41 | | | | | | | | | | | | | (7393) all_28_2 = e3
% 173.35/26.41 | | | | | | | | | | | | | (7394) op(e0, e3) = all_28_1 & $i(all_28_1) & ( ~
% 173.35/26.41 | | | | | | | | | | | | | (all_28_1 = e2) | ( ~ (all_28_0 = e1) & op(e2,
% 173.35/26.41 | | | | | | | | | | | | | e0) = all_28_0 & $i(all_28_0)))
% 173.35/26.41 | | | | | | | | | | | | |
% 173.35/26.41 | | | | | | | | | | | | | ALPHA: (7394) implies:
% 173.35/26.41 | | | | | | | | | | | | | (7395) op(e0, e3) = all_28_1
% 173.35/26.41 | | | | | | | | | | | | |
% 173.35/26.41 | | | | | | | | | | | | | COMBINE_EQS: (563), (7393) imply:
% 173.35/26.41 | | | | | | | | | | | | | (7396) all_20_2 = e3
% 173.35/26.41 | | | | | | | | | | | | |
% 173.35/26.41 | | | | | | | | | | | | | SIMP: (7396) implies:
% 173.35/26.41 | | | | | | | | | | | | | (7397) all_20_2 = e3
% 173.35/26.41 | | | | | | | | | | | | |
% 173.35/26.41 | | | | | | | | | | | | | REDUCE: (625), (7397) imply:
% 173.35/26.41 | | | | | | | | | | | | | (7398) ~ (all_61_12 = e3)
% 173.35/26.41 | | | | | | | | | | | | |
% 173.35/26.41 | | | | | | | | | | | | | REDUCE: (627), (7397) imply:
% 173.35/26.41 | | | | | | | | | | | | | (7399) ~ (all_61_14 = e3)
% 173.35/26.41 | | | | | | | | | | | | |
% 173.35/26.41 | | | | | | | | | | | | | REDUCE: (6936), (7397) imply:
% 173.35/26.41 | | | | | | | | | | | | | (7400) ~ (all_22_1 = e3)
% 173.35/26.41 | | | | | | | | | | | | |
% 173.35/26.41 | | | | | | | | | | | | | REDUCE: (6940), (7397) imply:
% 173.35/26.41 | | | | | | | | | | | | | (7401) op(all_22_1, e2) = e3
% 173.35/26.41 | | | | | | | | | | | | |
% 173.35/26.41 | | | | | | | | | | | | | REDUCE: (695), (7397) imply:
% 173.35/26.41 | | | | | | | | | | | | | (7402) op(e3, e2) = all_65_75
% 173.35/26.41 | | | | | | | | | | | | |
% 173.35/26.41 | | | | | | | | | | | | | REDUCE: (696), (7397) imply:
% 173.35/26.41 | | | | | | | | | | | | | (7403) op(e3, e1) = all_65_77
% 173.35/26.41 | | | | | | | | | | | | |
% 173.35/26.41 | | | | | | | | | | | | | REDUCE: (697), (7397) imply:
% 173.35/26.41 | | | | | | | | | | | | | (7404) op(e3, e0) = all_65_78
% 173.35/26.41 | | | | | | | | | | | | |
% 173.35/26.41 | | | | | | | | | | | | | REDUCE: (6976), (7397) imply:
% 173.35/26.41 | | | | | | | | | | | | | (7405) op(e2, e3) = all_65_75
% 173.35/26.41 | | | | | | | | | | | | |
% 173.35/26.41 | | | | | | | | | | | | | REDUCE: (6978), (7397) imply:
% 173.35/26.41 | | | | | | | | | | | | | (7406) op(e1, e3) = all_65_77
% 173.35/26.41 | | | | | | | | | | | | |
% 173.35/26.41 | | | | | | | | | | | | | REDUCE: (764), (7397) imply:
% 173.35/26.41 | | | | | | | | | | | | | (7407) op(e0, e3) = all_65_78
% 173.35/26.41 | | | | | | | | | | | | |
% 173.35/26.41 | | | | | | | | | | | | | REDUCE: (76), (7397) imply:
% 173.35/26.41 | | | | | | | | | | | | | (7408) op(e0, e0) = e3
% 173.35/26.41 | | | | | | | | | | | | |
% 173.35/26.41 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_3, all_65_78, e3,
% 173.35/26.41 | | | | | | | | | | | | | e0, simplifying with (226), (7407) gives:
% 173.35/26.41 | | | | | | | | | | | | | (7409) all_65_78 = all_61_3
% 173.35/26.41 | | | | | | | | | | | | |
% 173.35/26.41 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_28_1, all_65_78, e3,
% 173.35/26.41 | | | | | | | | | | | | | e0, simplifying with (7395), (7407) gives:
% 173.35/26.41 | | | | | | | | | | | | | (7410) all_65_78 = all_28_1
% 173.35/26.41 | | | | | | | | | | | | |
% 173.35/26.41 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_2, all_65_77, e3,
% 173.35/26.41 | | | | | | | | | | | | | e1, simplifying with (230), (7406) gives:
% 173.35/26.41 | | | | | | | | | | | | | (7411) all_65_77 = all_61_2
% 173.35/26.41 | | | | | | | | | | | | |
% 173.35/26.41 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_1, all_65_75, e3,
% 173.35/26.41 | | | | | | | | | | | | | e2, simplifying with (234), (7405) gives:
% 173.35/26.41 | | | | | | | | | | | | | (7412) all_65_75 = all_61_1
% 173.35/26.41 | | | | | | | | | | | | |
% 173.35/26.41 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_12, all_65_78, e0,
% 173.35/26.41 | | | | | | | | | | | | | e3, simplifying with (235), (7404) gives:
% 173.35/26.41 | | | | | | | | | | | | | (7413) all_65_78 = all_61_12
% 173.35/26.41 | | | | | | | | | | | | |
% 173.35/26.41 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_8, all_65_77, e1,
% 173.35/26.41 | | | | | | | | | | | | | e3, simplifying with (236), (7403) gives:
% 173.35/26.41 | | | | | | | | | | | | | (7414) all_65_77 = all_61_8
% 173.35/26.41 | | | | | | | | | | | | |
% 173.35/26.41 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_4, all_65_75, e2,
% 173.35/26.41 | | | | | | | | | | | | | e3, simplifying with (237), (7402) gives:
% 173.35/26.41 | | | | | | | | | | | | | (7415) all_65_75 = all_61_4
% 173.35/26.41 | | | | | | | | | | | | |
% 173.35/26.41 | | | | | | | | | | | | | COMBINE_EQS: (7412), (7415) imply:
% 173.35/26.41 | | | | | | | | | | | | | (7416) all_61_1 = all_61_4
% 173.35/26.41 | | | | | | | | | | | | |
% 173.35/26.41 | | | | | | | | | | | | | COMBINE_EQS: (7411), (7414) imply:
% 173.35/26.41 | | | | | | | | | | | | | (7417) all_61_2 = all_61_8
% 173.35/26.41 | | | | | | | | | | | | |
% 173.35/26.41 | | | | | | | | | | | | | SIMP: (7417) implies:
% 173.35/26.41 | | | | | | | | | | | | | (7418) all_61_2 = all_61_8
% 173.35/26.41 | | | | | | | | | | | | |
% 173.35/26.41 | | | | | | | | | | | | | COMBINE_EQS: (7410), (7413) imply:
% 173.35/26.41 | | | | | | | | | | | | | (7419) all_61_12 = all_28_1
% 173.35/26.41 | | | | | | | | | | | | |
% 173.35/26.41 | | | | | | | | | | | | | SIMP: (7419) implies:
% 173.35/26.41 | | | | | | | | | | | | | (7420) all_61_12 = all_28_1
% 173.35/26.41 | | | | | | | | | | | | |
% 173.35/26.41 | | | | | | | | | | | | | COMBINE_EQS: (7409), (7410) imply:
% 173.35/26.41 | | | | | | | | | | | | | (7421) all_61_3 = all_28_1
% 173.35/26.41 | | | | | | | | | | | | |
% 173.35/26.41 | | | | | | | | | | | | | SIMP: (7421) implies:
% 173.35/26.41 | | | | | | | | | | | | | (7422) all_61_3 = all_28_1
% 173.35/26.41 | | | | | | | | | | | | |
% 173.35/26.41 | | | | | | | | | | | | | COMBINE_EQS: (491), (7420) imply:
% 173.35/26.41 | | | | | | | | | | | | | (7423) all_63_3 = all_28_1
% 173.35/26.41 | | | | | | | | | | | | |
% 173.35/26.41 | | | | | | | | | | | | | REDUCE: (6929), (7416) imply:
% 173.35/26.41 | | | | | | | | | | | | | (7424) ~ (all_61_4 = all_22_1)
% 173.35/26.41 | | | | | | | | | | | | |
% 173.35/26.41 | | | | | | | | | | | | | REDUCE: (187), (7420) imply:
% 173.35/26.41 | | | | | | | | | | | | | (7425) ~ (all_61_8 = all_28_1)
% 173.35/26.41 | | | | | | | | | | | | |
% 173.35/26.41 | | | | | | | | | | | | | REDUCE: (179), (7420) imply:
% 173.35/26.41 | | | | | | | | | | | | | (7426) ~ (all_61_14 = all_28_1)
% 173.35/26.41 | | | | | | | | | | | | |
% 173.35/26.41 | | | | | | | | | | | | | SIMP: (7426) implies:
% 173.35/26.41 | | | | | | | | | | | | | (7427) ~ (all_61_14 = all_28_1)
% 173.35/26.41 | | | | | | | | | | | | |
% 173.35/26.41 | | | | | | | | | | | | | REDUCE: (6933), (7420) imply:
% 173.35/26.41 | | | | | | | | | | | | | (7428) ~ (all_28_1 = all_22_1)
% 173.35/26.41 | | | | | | | | | | | | |
% 173.35/26.41 | | | | | | | | | | | | | REDUCE: (603), (7420) imply:
% 173.35/26.41 | | | | | | | | | | | | | (7429) ~ (all_28_1 = all_14_2)
% 173.35/26.41 | | | | | | | | | | | | |
% 173.35/26.41 | | | | | | | | | | | | | REDUCE: (7398), (7420) imply:
% 173.35/26.41 | | | | | | | | | | | | | (7430) ~ (all_28_1 = e3)
% 173.35/26.41 | | | | | | | | | | | | |
% 173.35/26.41 | | | | | | | | | | | | | REDUCE: (666), (7418) imply:
% 173.35/26.41 | | | | | | | | | | | | | (7431) op(all_61_8, e3) = all_65_32
% 173.35/26.41 | | | | | | | | | | | | |
% 173.35/26.41 | | | | | | | | | | | | | REDUCE: (682), (7422) imply:
% 173.35/26.41 | | | | | | | | | | | | | (7432) op(all_28_1, e3) = all_65_49
% 173.35/26.41 | | | | | | | | | | | | |
% 173.35/26.41 | | | | | | | | | | | | | REDUCE: (646), (7420) imply:
% 173.35/26.41 | | | | | | | | | | | | | (7433) op(all_28_1, e3) = all_65_12
% 173.35/26.41 | | | | | | | | | | | | |
% 173.35/26.41 | | | | | | | | | | | | | REDUCE: (6972), (7414) imply:
% 173.35/26.41 | | | | | | | | | | | | | (7434) op(all_61_14, e0) = all_61_8
% 173.35/26.41 | | | | | | | | | | | | |
% 173.35/26.41 | | | | | | | | | | | | | REDUCE: (706), (7418) imply:
% 173.35/26.41 | | | | | | | | | | | | | (7435) op(e3, all_61_8) = all_65_8
% 173.35/26.41 | | | | | | | | | | | | |
% 173.35/26.41 | | | | | | | | | | | | | REDUCE: (710), (7422) imply:
% 173.35/26.41 | | | | | | | | | | | | | (7436) op(e3, all_28_1) = all_65_12
% 173.35/26.41 | | | | | | | | | | | | |
% 173.35/26.41 | | | | | | | | | | | | | REDUCE: (701), (7420) imply:
% 173.35/26.41 | | | | | | | | | | | | | (7437) op(e3, all_28_1) = all_65_3
% 173.35/26.41 | | | | | | | | | | | | |
% 173.35/26.41 | | | | | | | | | | | | | REDUCE: (235), (7420) imply:
% 173.35/26.41 | | | | | | | | | | | | | (7438) op(e3, e0) = all_28_1
% 173.35/26.41 | | | | | | | | | | | | |
% 173.35/26.41 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_12, all_65_3,
% 173.35/26.41 | | | | | | | | | | | | | all_28_1, e3, simplifying with (7436), (7437)
% 173.35/26.41 | | | | | | | | | | | | | gives:
% 173.35/26.41 | | | | | | | | | | | | | (7439) all_65_3 = all_65_12
% 173.35/26.41 | | | | | | | | | | | | |
% 173.35/26.41 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_2, all_65_8,
% 173.35/26.41 | | | | | | | | | | | | | all_61_8, e3, simplifying with (700), (7435)
% 173.35/26.41 | | | | | | | | | | | | | gives:
% 173.35/26.41 | | | | | | | | | | | | | (7440) all_65_2 = all_65_8
% 173.35/26.41 | | | | | | | | | | | | |
% 173.35/26.41 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_49, all_65_12, e3,
% 173.35/26.41 | | | | | | | | | | | | | all_28_1, simplifying with (7432), (7433) gives:
% 173.35/26.41 | | | | | | | | | | | | | (7441) all_65_12 = all_65_49
% 173.35/26.41 | | | | | | | | | | | | |
% 173.35/26.41 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_8, all_65_32, e3,
% 173.35/26.41 | | | | | | | | | | | | | all_61_8, simplifying with (642), (7431) gives:
% 173.35/26.41 | | | | | | | | | | | | | (7442) all_65_8 = all_65_32
% 173.35/26.41 | | | | | | | | | | | | |
% 173.35/26.41 | | | | | | | | | | | | | COMBINE_EQS: (7439), (7441) imply:
% 173.35/26.41 | | | | | | | | | | | | | (7443) all_65_3 = all_65_49
% 173.35/26.41 | | | | | | | | | | | | |
% 173.35/26.41 | | | | | | | | | | | | | COMBINE_EQS: (7440), (7442) imply:
% 173.35/26.41 | | | | | | | | | | | | | (7444) all_65_2 = all_65_32
% 173.35/26.41 | | | | | | | | | | | | |
% 173.35/26.41 | | | | | | | | | | | | | REDUCE: (636), (7444) imply:
% 173.35/26.41 | | | | | | | | | | | | | (7445) op(all_14_2, e1) = all_65_32
% 173.35/26.41 | | | | | | | | | | | | |
% 173.35/26.41 | | | | | | | | | | | | | REDUCE: (637), (7443) imply:
% 173.35/26.41 | | | | | | | | | | | | | (7446) op(all_14_2, e0) = all_65_49
% 173.35/26.41 | | | | | | | | | | | | |
% 173.35/26.41 | | | | | | | | | | | | | BETA: splitting (101) gives:
% 173.35/26.41 | | | | | | | | | | | | |
% 173.35/26.41 | | | | | | | | | | | | | Case 1:
% 173.35/26.41 | | | | | | | | | | | | | |
% 173.35/26.41 | | | | | | | | | | | | | | (7447) ~ (all_36_2 = e0)
% 173.35/26.41 | | | | | | | | | | | | | |
% 173.35/26.41 | | | | | | | | | | | | | | REDUCE: (557), (7447) imply:
% 173.35/26.41 | | | | | | | | | | | | | | (7448) ~ (all_14_2 = e0)
% 173.35/26.41 | | | | | | | | | | | | | |
% 173.35/26.41 | | | | | | | | | | | | | | BETA: splitting (107) gives:
% 173.35/26.41 | | | | | | | | | | | | | |
% 173.35/26.41 | | | | | | | | | | | | | | Case 1:
% 173.35/26.41 | | | | | | | | | | | | | | |
% 173.35/26.41 | | | | | | | | | | | | | | | (7449) ~ (all_40_2 = e1)
% 173.35/26.41 | | | | | | | | | | | | | | |
% 173.35/26.41 | | | | | | | | | | | | | | | REDUCE: (553), (7449) imply:
% 173.35/26.41 | | | | | | | | | | | | | | | (7450) ~ (all_14_2 = e1)
% 173.35/26.41 | | | | | | | | | | | | | | |
% 173.35/26.41 | | | | | | | | | | | | | | | BETA: splitting (271) gives:
% 173.35/26.41 | | | | | | | | | | | | | | |
% 173.35/26.41 | | | | | | | | | | | | | | | Case 1:
% 173.35/26.41 | | | | | | | | | | | | | | | |
% 173.35/26.41 | | | | | | | | | | | | | | | | (7451) all_63_0 = e3
% 173.35/26.41 | | | | | | | | | | | | | | | |
% 173.35/26.41 | | | | | | | | | | | | | | | | COMBINE_EQS: (588), (7451) imply:
% 173.35/26.41 | | | | | | | | | | | | | | | | (7452) all_14_2 = e3
% 173.35/26.41 | | | | | | | | | | | | | | | |
% 173.35/26.41 | | | | | | | | | | | | | | | | REDUCE: (601), (7452) imply:
% 173.35/26.41 | | | | | | | | | | | | | | | | (7453) ~ (all_61_8 = e3)
% 173.35/26.41 | | | | | | | | | | | | | | | |
% 173.35/26.41 | | | | | | | | | | | | | | | | REDUCE: (7445), (7452) imply:
% 173.35/26.41 | | | | | | | | | | | | | | | | (7454) op(e3, e1) = all_65_32
% 173.35/26.41 | | | | | | | | | | | | | | | |
% 173.35/26.42 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_8, all_65_32, e1,
% 173.35/26.42 | | | | | | | | | | | | | | | | e3, simplifying with (236), (7454) gives:
% 173.35/26.42 | | | | | | | | | | | | | | | | (7455) all_65_32 = all_61_8
% 173.35/26.42 | | | | | | | | | | | | | | | |
% 173.35/26.42 | | | | | | | | | | | | | | | | REDUCE: (7431), (7455) imply:
% 173.35/26.42 | | | | | | | | | | | | | | | | (7456) op(all_61_8, e3) = all_61_8
% 173.35/26.42 | | | | | | | | | | | | | | | |
% 173.35/26.42 | | | | | | | | | | | | | | | | BETA: splitting (157) gives:
% 173.35/26.42 | | | | | | | | | | | | | | | |
% 173.35/26.42 | | | | | | | | | | | | | | | | Case 1:
% 173.35/26.42 | | | | | | | | | | | | | | | | |
% 173.35/26.42 | | | | | | | | | | | | | | | | | (7457) ~ (all_58_3 = e1)
% 173.35/26.42 | | | | | | | | | | | | | | | | |
% 173.35/26.42 | | | | | | | | | | | | | | | | | REDUCE: (475), (7457) imply:
% 173.35/26.42 | | | | | | | | | | | | | | | | | (7458) ~ (all_52_3 = e1)
% 173.35/26.42 | | | | | | | | | | | | | | | | |
% 173.35/26.42 | | | | | | | | | | | | | | | | | BETA: splitting (160) gives:
% 173.35/26.42 | | | | | | | | | | | | | | | | |
% 173.35/26.42 | | | | | | | | | | | | | | | | | Case 1:
% 173.35/26.42 | | | | | | | | | | | | | | | | | |
% 173.35/26.42 | | | | | | | | | | | | | | | | | | (7459) ~ (all_58_2 = e0)
% 173.35/26.42 | | | | | | | | | | | | | | | | | |
% 173.35/26.42 | | | | | | | | | | | | | | | | | | REDUCE: (478), (7459) imply:
% 173.35/26.42 | | | | | | | | | | | | | | | | | | (7460) ~ (all_52_2 = e0)
% 173.35/26.42 | | | | | | | | | | | | | | | | | |
% 173.35/26.42 | | | | | | | | | | | | | | | | | | BETA: splitting (164) gives:
% 173.35/26.42 | | | | | | | | | | | | | | | | | |
% 173.35/26.42 | | | | | | | | | | | | | | | | | | Case 1:
% 173.35/26.42 | | | | | | | | | | | | | | | | | | |
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | (7461) ~ (all_58_1 = e1)
% 173.35/26.42 | | | | | | | | | | | | | | | | | | |
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | REDUCE: (481), (7461) imply:
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | (7462) ~ (all_52_1 = e1)
% 173.35/26.42 | | | | | | | | | | | | | | | | | | |
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | BETA: splitting (161) gives:
% 173.35/26.42 | | | | | | | | | | | | | | | | | | |
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | Case 1:
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | |
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | | (7463) ~ (all_58_2 = e2)
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | |
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | | REDUCE: (478), (7463) imply:
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | | (7464) ~ (all_52_2 = e2)
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | |
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | | BETA: splitting (167) gives:
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | |
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | | | (7465) ~ (all_58_0 = e1)
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | | | REDUCE: (484), (7465) imply:
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | | | (7466) ~ (all_52_0 = e1)
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (162) gives:
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | | | | (7467) ~ (all_58_2 = e3)
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (478), (7467) imply:
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | | | | (7468) ~ (all_52_2 = e3)
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (19), (50), (149), (538), (748), (5784),
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | | | | (6900), (7460), (7464), (7468) are inconsistent by
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | | | | sub-proof #270.
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | | | | (7469) all_58_0 = e1
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (484), (7466), (7469) are inconsistent by
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | | | | sub-proof #470.
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | | | End of split
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | | | (7470) all_58_0 = e1
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (484), (7470) imply:
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | | | (7471) all_52_0 = e1
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | | | REDUCE: (714), (7471) imply:
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | | | (7472) op(e3, e1) = unit
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (50), (236), (7453), (7456), (7472) are
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #254.
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | | End of split
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | |
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | Case 2:
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | |
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | | (7473) all_58_1 = e1
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | |
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (481), (7462), (7473) are inconsistent by
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | | sub-proof #424.
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | |
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | End of split
% 173.35/26.42 | | | | | | | | | | | | | | | | | | |
% 173.35/26.42 | | | | | | | | | | | | | | | | | | Case 2:
% 173.35/26.42 | | | | | | | | | | | | | | | | | | |
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | (7474) all_58_1 = e1
% 173.35/26.42 | | | | | | | | | | | | | | | | | | |
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (481), (7474) imply:
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | (7475) all_52_1 = e1
% 173.35/26.42 | | | | | | | | | | | | | | | | | | |
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | SIMP: (7475) implies:
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | (7476) all_52_1 = e1
% 173.35/26.42 | | | | | | | | | | | | | | | | | | |
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | REDUCE: (731), (7476) imply:
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | (7477) op(e2, e1) = unit
% 173.35/26.42 | | | | | | | | | | | | | | | | | | |
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_10_1, unit, e1, e2,
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | simplifying with (5838), (7477) gives:
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | (7478) all_10_1 = unit
% 173.35/26.42 | | | | | | | | | | | | | | | | | | |
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5808), (7478) imply:
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | (7479) all_63_9 = unit
% 173.35/26.42 | | | | | | | | | | | | | | | | | | |
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | REDUCE: (5817), (7478) imply:
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | (7480) ~ (all_61_8 = unit)
% 173.35/26.42 | | | | | | | | | | | | | | | | | | |
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | REDUCE: (5816), (7478) imply:
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | (7481) ~ (all_61_14 = unit)
% 173.35/26.42 | | | | | | | | | | | | | | | | | | |
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | REDUCE: (5823), (7478) imply:
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | (7482) ~ (unit = e2)
% 173.35/26.42 | | | | | | | | | | | | | | | | | | |
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | REDUCE: (6892), (7478) imply:
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | (7483) ~ (unit = e0)
% 173.35/26.42 | | | | | | | | | | | | | | | | | | |
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | BETA: splitting (262) gives:
% 173.35/26.42 | | | | | | | | | | | | | | | | | | |
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | Case 1:
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | |
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | | (7484) all_63_9 = e3
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | |
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7479), (7484) imply:
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | | (7485) unit = e3
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | |
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | | REDUCE: (851), (7485) imply:
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | | (7486) $false
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | |
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | | CLOSE: (7486) is inconsistent.
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | |
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | Case 2:
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | |
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | | (7487) all_63_9 = e2 | all_63_9 = e1 | all_63_9 = e0
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | |
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | | BETA: splitting (7487) gives:
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | |
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | | | (7488) all_63_9 = e2
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7479), (7488) imply:
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | | | (7489) unit = e2
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | | | REDUCE: (7482), (7489) imply:
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | | | (7490) $false
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | | | CLOSE: (7490) is inconsistent.
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | | | (7491) all_63_9 = e1 | all_63_9 = e0
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7491) gives:
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | | | | (7492) all_63_9 = e1
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7479), (7492) imply:
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | | | | (7493) unit = e1
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7480), (7493) imply:
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | | | | (7494) ~ (all_61_8 = e1)
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7481), (7493) imply:
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | | | | (7495) ~ (all_61_14 = e1)
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (269) gives:
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | | | | | (7496) all_63_2 = e3
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (489), (7496) imply:
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | | | | | (7497) all_61_8 = e3
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7453), (7497) imply:
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | | | | | (7498) $false
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (7498) is inconsistent.
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | | | | | (7499) all_63_2 = e2 | all_63_2 = e1 | all_63_2 = e0
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (257), (489), (5773), (5776), (6926), (6932),
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | | | | | (7399), (7494), (7495), (7499) are inconsistent by
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #266.
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | | | | (7500) all_63_9 = e0
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7479), (7500) imply:
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | | | | (7501) unit = e0
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7483), (7501) imply:
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | | | | (7502) $false
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (7502) is inconsistent.
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | | | End of split
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | | End of split
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | |
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | End of split
% 173.35/26.42 | | | | | | | | | | | | | | | | | | |
% 173.35/26.42 | | | | | | | | | | | | | | | | | | End of split
% 173.35/26.42 | | | | | | | | | | | | | | | | | |
% 173.35/26.42 | | | | | | | | | | | | | | | | | Case 2:
% 173.35/26.42 | | | | | | | | | | | | | | | | | |
% 173.35/26.42 | | | | | | | | | | | | | | | | | | (7503) all_58_3 = e1
% 173.35/26.42 | | | | | | | | | | | | | | | | | |
% 173.35/26.42 | | | | | | | | | | | | | | | | | | REF_CLOSE: (475), (7458), (7503) are inconsistent by
% 173.35/26.42 | | | | | | | | | | | | | | | | | | sub-proof #460.
% 173.35/26.42 | | | | | | | | | | | | | | | | | |
% 173.35/26.42 | | | | | | | | | | | | | | | | | End of split
% 173.35/26.42 | | | | | | | | | | | | | | | | |
% 173.35/26.42 | | | | | | | | | | | | | | | | Case 2:
% 173.35/26.42 | | | | | | | | | | | | | | | | |
% 173.35/26.42 | | | | | | | | | | | | | | | | | (7504) all_58_2 = e0
% 173.35/26.42 | | | | | | | | | | | | | | | | |
% 173.35/26.42 | | | | | | | | | | | | | | | | | COMBINE_EQS: (478), (7504) imply:
% 173.35/26.42 | | | | | | | | | | | | | | | | | (7505) all_52_2 = e0
% 173.35/26.42 | | | | | | | | | | | | | | | | |
% 173.35/26.42 | | | | | | | | | | | | | | | | | SIMP: (7505) implies:
% 173.35/26.42 | | | | | | | | | | | | | | | | | (7506) all_52_2 = e0
% 173.35/26.42 | | | | | | | | | | | | | | | | |
% 173.35/26.42 | | | | | | | | | | | | | | | | | REDUCE: (748), (7506) imply:
% 173.35/26.42 | | | | | | | | | | | | | | | | | (7507) op(e1, e0) = unit
% 173.35/26.42 | | | | | | | | | | | | | | | | |
% 173.35/26.42 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_14, unit, e0, e1,
% 173.35/26.42 | | | | | | | | | | | | | | | | | simplifying with (227), (7507) gives:
% 173.35/26.42 | | | | | | | | | | | | | | | | | (7508) all_61_14 = unit
% 173.35/26.42 | | | | | | | | | | | | | | | | |
% 173.35/26.42 | | | | | | | | | | | | | | | | | REDUCE: (6932), (7508) imply:
% 173.35/26.42 | | | | | | | | | | | | | | | | | (7509) ~ (all_61_8 = unit)
% 173.35/26.42 | | | | | | | | | | | | | | | | |
% 173.35/26.42 | | | | | | | | | | | | | | | | | REDUCE: (6935), (7508) imply:
% 173.35/26.42 | | | | | | | | | | | | | | | | | (7510) ~ (all_22_1 = unit)
% 173.35/26.42 | | | | | | | | | | | | | | | | |
% 173.35/26.42 | | | | | | | | | | | | | | | | | SIMP: (7510) implies:
% 173.35/26.42 | | | | | | | | | | | | | | | | | (7511) ~ (all_22_1 = unit)
% 173.35/26.42 | | | | | | | | | | | | | | | | |
% 173.35/26.42 | | | | | | | | | | | | | | | | | REDUCE: (5776), (7508) imply:
% 173.35/26.42 | | | | | | | | | | | | | | | | | (7512) ~ (unit = e2)
% 173.35/26.42 | | | | | | | | | | | | | | | | |
% 173.35/26.42 | | | | | | | | | | | | | | | | | REDUCE: (6943), (7508) imply:
% 173.35/26.42 | | | | | | | | | | | | | | | | | (7513) op(unit, e1) = all_22_1
% 173.35/26.42 | | | | | | | | | | | | | | | | |
% 173.35/26.42 | | | | | | | | | | | | | | | | | REDUCE: (7434), (7508) imply:
% 173.35/26.42 | | | | | | | | | | | | | | | | | (7514) op(unit, e0) = all_61_8
% 173.35/26.42 | | | | | | | | | | | | | | | | |
% 173.35/26.42 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e0, all_61_8, e0, unit,
% 173.35/26.42 | | | | | | | | | | | | | | | | | simplifying with (7), (7514) gives:
% 173.35/26.42 | | | | | | | | | | | | | | | | | (7515) all_61_8 = e0
% 173.35/26.42 | | | | | | | | | | | | | | | | |
% 173.35/26.42 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e1, all_22_1, e1, unit,
% 173.35/26.42 | | | | | | | | | | | | | | | | | simplifying with (8), (7513) gives:
% 173.35/26.42 | | | | | | | | | | | | | | | | | (7516) all_22_1 = e1
% 173.35/26.42 | | | | | | | | | | | | | | | | |
% 173.35/26.42 | | | | | | | | | | | | | | | | | REDUCE: (7509), (7515) imply:
% 173.35/26.42 | | | | | | | | | | | | | | | | | (7517) ~ (unit = e0)
% 173.35/26.42 | | | | | | | | | | | | | | | | |
% 173.35/26.42 | | | | | | | | | | | | | | | | | REF_CLOSE: (852), (7511), (7512), (7516), (7517) are
% 173.35/26.42 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #253.
% 173.35/26.42 | | | | | | | | | | | | | | | | |
% 173.35/26.42 | | | | | | | | | | | | | | | | End of split
% 173.35/26.42 | | | | | | | | | | | | | | | |
% 173.35/26.42 | | | | | | | | | | | | | | | Case 2:
% 173.35/26.42 | | | | | | | | | | | | | | | |
% 173.35/26.42 | | | | | | | | | | | | | | | | (7518) all_63_0 = e2 | all_63_0 = e1 | all_63_0 = e0
% 173.35/26.42 | | | | | | | | | | | | | | | |
% 173.35/26.42 | | | | | | | | | | | | | | | | REF_CLOSE: (588), (5858), (7448), (7450), (7518) are
% 173.35/26.42 | | | | | | | | | | | | | | | | inconsistent by sub-proof #503.
% 173.35/26.42 | | | | | | | | | | | | | | | |
% 173.35/26.42 | | | | | | | | | | | | | | | End of split
% 173.35/26.42 | | | | | | | | | | | | | | |
% 173.35/26.42 | | | | | | | | | | | | | | Case 2:
% 173.35/26.42 | | | | | | | | | | | | | | |
% 173.35/26.42 | | | | | | | | | | | | | | | (7519) all_40_2 = e1
% 173.35/26.42 | | | | | | | | | | | | | | | (7520) op(e3, e1) = all_40_1 & $i(all_40_1) & ( ~
% 173.35/26.42 | | | | | | | | | | | | | | | (all_40_1 = e0) | ( ~ (all_40_0 = e2) & op(e0,
% 173.35/26.42 | | | | | | | | | | | | | | | e3) = all_40_0 & $i(all_40_0)))
% 173.35/26.42 | | | | | | | | | | | | | | |
% 173.35/26.42 | | | | | | | | | | | | | | | ALPHA: (7520) implies:
% 173.35/26.42 | | | | | | | | | | | | | | | (7521) op(e3, e1) = all_40_1
% 173.35/26.42 | | | | | | | | | | | | | | |
% 173.35/26.42 | | | | | | | | | | | | | | | COMBINE_EQS: (553), (7519) imply:
% 173.35/26.42 | | | | | | | | | | | | | | | (7522) all_14_2 = e1
% 173.35/26.42 | | | | | | | | | | | | | | |
% 173.35/26.42 | | | | | | | | | | | | | | | SIMP: (7522) implies:
% 173.35/26.42 | | | | | | | | | | | | | | | (7523) all_14_2 = e1
% 173.35/26.42 | | | | | | | | | | | | | | |
% 173.35/26.42 | | | | | | | | | | | | | | | COMBINE_EQS: (466), (7523) imply:
% 173.35/26.42 | | | | | | | | | | | | | | | (7524) all_48_2 = e1
% 173.35/26.42 | | | | | | | | | | | | | | |
% 173.35/26.42 | | | | | | | | | | | | | | | REDUCE: (601), (7523) imply:
% 173.35/26.42 | | | | | | | | | | | | | | | (7525) ~ (all_61_8 = e1)
% 173.35/26.42 | | | | | | | | | | | | | | |
% 173.35/26.42 | | | | | | | | | | | | | | | REDUCE: (7429), (7523) imply:
% 173.35/26.42 | | | | | | | | | | | | | | | (7526) ~ (all_28_1 = e1)
% 173.35/26.42 | | | | | | | | | | | | | | |
% 173.35/26.42 | | | | | | | | | | | | | | | REDUCE: (7446), (7523) imply:
% 173.35/26.42 | | | | | | | | | | | | | | | (7527) op(e1, e0) = all_65_49
% 173.35/26.42 | | | | | | | | | | | | | | |
% 173.35/26.42 | | | | | | | | | | | | | | | REDUCE: (698), (7523) imply:
% 173.35/26.42 | | | | | | | | | | | | | | | (7528) op(e3, e1) = all_65_0
% 173.35/26.42 | | | | | | | | | | | | | | |
% 173.35/26.42 | | | | | | | | | | | | | | | REDUCE: (715), (7523) imply:
% 173.35/26.42 | | | | | | | | | | | | | | | (7529) op(e2, e1) = all_65_16
% 173.35/26.42 | | | | | | | | | | | | | | |
% 173.35/26.42 | | | | | | | | | | | | | | | REDUCE: (732), (7523) imply:
% 173.35/26.42 | | | | | | | | | | | | | | | (7530) op(e1, e1) = all_65_32
% 173.35/26.42 | | | | | | | | | | | | | | |
% 173.35/26.42 | | | | | | | | | | | | | | | BETA: splitting (119) gives:
% 173.35/26.42 | | | | | | | | | | | | | | |
% 173.35/26.42 | | | | | | | | | | | | | | | Case 1:
% 173.35/26.42 | | | | | | | | | | | | | | | |
% 173.35/26.42 | | | | | | | | | | | | | | | | (7531) ~ (all_48_2 = e1)
% 173.35/26.42 | | | | | | | | | | | | | | | |
% 173.35/26.42 | | | | | | | | | | | | | | | | REDUCE: (7524), (7531) imply:
% 173.35/26.42 | | | | | | | | | | | | | | | | (7532) $false
% 173.35/26.42 | | | | | | | | | | | | | | | |
% 173.35/26.42 | | | | | | | | | | | | | | | | CLOSE: (7532) is inconsistent.
% 173.35/26.42 | | | | | | | | | | | | | | | |
% 173.35/26.42 | | | | | | | | | | | | | | | Case 2:
% 173.35/26.42 | | | | | | | | | | | | | | | |
% 173.35/26.42 | | | | | | | | | | | | | | | | (7533) op(e3, e1) = all_48_1 & $i(all_48_1) & ( ~
% 173.35/26.42 | | | | | | | | | | | | | | | | (all_48_1 = e2) | ( ~ (all_48_0 = e0) & op(e2,
% 173.35/26.42 | | | | | | | | | | | | | | | | e3) = all_48_0 & $i(all_48_0)))
% 173.35/26.42 | | | | | | | | | | | | | | | |
% 173.35/26.42 | | | | | | | | | | | | | | | | ALPHA: (7533) implies:
% 173.35/26.42 | | | | | | | | | | | | | | | | (7534) op(e3, e1) = all_48_1
% 173.35/26.42 | | | | | | | | | | | | | | | |
% 173.35/26.42 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_14, all_65_49, e0,
% 173.35/26.42 | | | | | | | | | | | | | | | | e1, simplifying with (227), (7527) gives:
% 173.35/26.42 | | | | | | | | | | | | | | | | (7535) all_65_49 = all_61_14
% 173.35/26.42 | | | | | | | | | | | | | | | |
% 173.35/26.42 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e2, all_65_32, e1, e1,
% 173.35/26.42 | | | | | | | | | | | | | | | | simplifying with (5784), (7530) gives:
% 173.35/26.42 | | | | | | | | | | | | | | | | (7536) all_65_32 = e2
% 173.35/26.42 | | | | | | | | | | | | | | | |
% 173.35/26.42 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_10_1, all_65_16, e1,
% 173.35/26.42 | | | | | | | | | | | | | | | | e2, simplifying with (5838), (7529) gives:
% 173.35/26.42 | | | | | | | | | | | | | | | | (7537) all_65_16 = all_10_1
% 173.35/26.42 | | | | | | | | | | | | | | | |
% 173.35/26.42 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_8, all_48_1, e1,
% 173.35/26.42 | | | | | | | | | | | | | | | | e3, simplifying with (236), (7534) gives:
% 173.35/26.42 | | | | | | | | | | | | | | | | (7538) all_61_8 = all_48_1
% 173.35/26.42 | | | | | | | | | | | | | | | |
% 173.35/26.42 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_8, all_65_0, e1,
% 173.35/26.42 | | | | | | | | | | | | | | | | e3, simplifying with (236), (7528) gives:
% 173.35/26.42 | | | | | | | | | | | | | | | | (7539) all_65_0 = all_61_8
% 173.35/26.42 | | | | | | | | | | | | | | | |
% 173.35/26.42 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_40_1, all_65_0, e1,
% 173.35/26.42 | | | | | | | | | | | | | | | | e3, simplifying with (7521), (7528) gives:
% 173.35/26.42 | | | | | | | | | | | | | | | | (7540) all_65_0 = all_40_1
% 173.35/26.42 | | | | | | | | | | | | | | | |
% 173.35/26.42 | | | | | | | | | | | | | | | | COMBINE_EQS: (7539), (7540) imply:
% 173.35/26.42 | | | | | | | | | | | | | | | | (7541) all_61_8 = all_40_1
% 173.35/26.42 | | | | | | | | | | | | | | | |
% 173.35/26.42 | | | | | | | | | | | | | | | | SIMP: (7541) implies:
% 173.35/26.42 | | | | | | | | | | | | | | | | (7542) all_61_8 = all_40_1
% 173.35/26.42 | | | | | | | | | | | | | | | |
% 173.35/26.42 | | | | | | | | | | | | | | | | COMBINE_EQS: (7538), (7542) imply:
% 173.35/26.42 | | | | | | | | | | | | | | | | (7543) all_48_1 = all_40_1
% 173.35/26.42 | | | | | | | | | | | | | | | |
% 173.35/26.42 | | | | | | | | | | | | | | | | SIMP: (7543) implies:
% 173.35/26.42 | | | | | | | | | | | | | | | | (7544) all_48_1 = all_40_1
% 173.35/26.42 | | | | | | | | | | | | | | | |
% 173.35/26.42 | | | | | | | | | | | | | | | | REDUCE: (6932), (7542) imply:
% 173.35/26.42 | | | | | | | | | | | | | | | | (7545) ~ (all_61_14 = all_40_1)
% 173.35/26.42 | | | | | | | | | | | | | | | |
% 173.35/26.42 | | | | | | | | | | | | | | | | SIMP: (7545) implies:
% 173.35/26.42 | | | | | | | | | | | | | | | | (7546) ~ (all_61_14 = all_40_1)
% 173.35/26.42 | | | | | | | | | | | | | | | |
% 173.35/26.42 | | | | | | | | | | | | | | | | REDUCE: (7425), (7542) imply:
% 173.35/26.42 | | | | | | | | | | | | | | | | (7547) ~ (all_40_1 = all_28_1)
% 173.35/26.42 | | | | | | | | | | | | | | | |
% 173.35/26.42 | | | | | | | | | | | | | | | | REDUCE: (5773), (7542) imply:
% 173.35/26.42 | | | | | | | | | | | | | | | | (7548) ~ (all_40_1 = e2)
% 173.35/26.42 | | | | | | | | | | | | | | | |
% 173.35/26.42 | | | | | | | | | | | | | | | | REDUCE: (7525), (7542) imply:
% 173.35/26.42 | | | | | | | | | | | | | | | | (7549) ~ (all_40_1 = e1)
% 173.35/26.42 | | | | | | | | | | | | | | | |
% 173.35/26.42 | | | | | | | | | | | | | | | | REDUCE: (7434), (7542) imply:
% 173.35/26.42 | | | | | | | | | | | | | | | | (7550) op(all_61_14, e0) = all_40_1
% 173.35/26.42 | | | | | | | | | | | | | | | |
% 173.35/26.42 | | | | | | | | | | | | | | | | BETA: splitting (157) gives:
% 173.35/26.42 | | | | | | | | | | | | | | | |
% 173.35/26.42 | | | | | | | | | | | | | | | | Case 1:
% 173.35/26.42 | | | | | | | | | | | | | | | | |
% 173.35/26.42 | | | | | | | | | | | | | | | | | (7551) ~ (all_58_3 = e1)
% 173.35/26.42 | | | | | | | | | | | | | | | | |
% 173.35/26.42 | | | | | | | | | | | | | | | | | REDUCE: (475), (7551) imply:
% 173.35/26.42 | | | | | | | | | | | | | | | | | (7552) ~ (all_52_3 = e1)
% 173.35/26.42 | | | | | | | | | | | | | | | | |
% 173.35/26.42 | | | | | | | | | | | | | | | | | BETA: splitting (162) gives:
% 173.35/26.42 | | | | | | | | | | | | | | | | |
% 173.35/26.42 | | | | | | | | | | | | | | | | | Case 1:
% 173.35/26.42 | | | | | | | | | | | | | | | | | |
% 173.35/26.42 | | | | | | | | | | | | | | | | | | (7553) ~ (all_58_2 = e3)
% 173.35/26.42 | | | | | | | | | | | | | | | | | |
% 173.35/26.42 | | | | | | | | | | | | | | | | | | REDUCE: (478), (7553) imply:
% 173.35/26.42 | | | | | | | | | | | | | | | | | | (7554) ~ (all_52_2 = e3)
% 173.35/26.42 | | | | | | | | | | | | | | | | | |
% 173.35/26.42 | | | | | | | | | | | | | | | | | | BETA: splitting (161) gives:
% 173.35/26.42 | | | | | | | | | | | | | | | | | |
% 173.35/26.42 | | | | | | | | | | | | | | | | | | Case 1:
% 173.35/26.42 | | | | | | | | | | | | | | | | | | |
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | (7555) ~ (all_58_2 = e2)
% 173.35/26.42 | | | | | | | | | | | | | | | | | | |
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | REDUCE: (478), (7555) imply:
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | (7556) ~ (all_52_2 = e2)
% 173.35/26.42 | | | | | | | | | | | | | | | | | | |
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (19), (50), (149), (160), (475), (478),
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | (538), (748), (5784), (6900), (7552), (7554),
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | (7556) are inconsistent by sub-proof #269.
% 173.35/26.42 | | | | | | | | | | | | | | | | | | |
% 173.35/26.42 | | | | | | | | | | | | | | | | | | Case 2:
% 173.35/26.42 | | | | | | | | | | | | | | | | | | |
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | (7557) all_58_1 = e1
% 173.35/26.42 | | | | | | | | | | | | | | | | | | |
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (481), (7557) imply:
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | (7558) all_52_1 = e1
% 173.35/26.42 | | | | | | | | | | | | | | | | | | |
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | SIMP: (7558) implies:
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | (7559) all_52_1 = e1
% 173.35/26.42 | | | | | | | | | | | | | | | | | | |
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | REDUCE: (731), (7559) imply:
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | (7560) op(e2, e1) = unit
% 173.35/26.42 | | | | | | | | | | | | | | | | | | |
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_10_1, unit, e1, e2,
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | simplifying with (5838), (7560) gives:
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | (7561) all_10_1 = unit
% 173.35/26.42 | | | | | | | | | | | | | | | | | | |
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5808), (7561) imply:
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | (7562) all_63_9 = unit
% 173.35/26.42 | | | | | | | | | | | | | | | | | | |
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | REDUCE: (5816), (7561) imply:
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | (7563) ~ (all_61_14 = unit)
% 173.35/26.42 | | | | | | | | | | | | | | | | | | |
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | REDUCE: (6937), (7561) imply:
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | (7564) ~ (all_22_1 = unit)
% 173.35/26.42 | | | | | | | | | | | | | | | | | | |
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | REDUCE: (5823), (7561) imply:
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | (7565) ~ (unit = e2)
% 173.35/26.42 | | | | | | | | | | | | | | | | | | |
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | REDUCE: (6892), (7561) imply:
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | (7566) ~ (unit = e0)
% 173.35/26.42 | | | | | | | | | | | | | | | | | | |
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | BETA: splitting (262) gives:
% 173.35/26.42 | | | | | | | | | | | | | | | | | | |
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | Case 1:
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | |
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | | (7567) all_63_9 = e3
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | |
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7562), (7567) imply:
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | | (7568) unit = e3
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | |
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | | REDUCE: (851), (7568) imply:
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | | (7569) $false
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | |
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | | CLOSE: (7569) is inconsistent.
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | |
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | Case 2:
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | |
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | | (7570) all_63_9 = e2 | all_63_9 = e1 | all_63_9 = e0
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | |
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | | BETA: splitting (7570) gives:
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | |
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | | | (7571) all_63_9 = e2
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7562), (7571) imply:
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | | | (7572) unit = e2
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | | | REDUCE: (7565), (7572) imply:
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | | | (7573) $false
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | | | CLOSE: (7573) is inconsistent.
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | | | (7574) all_63_9 = e1 | all_63_9 = e0
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7574) gives:
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | | | | (7575) all_63_9 = e1
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7562), (7575) imply:
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | | | | (7576) unit = e1
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7563), (7576) imply:
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | | | | (7577) ~ (all_61_14 = e1)
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7564), (7576) imply:
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | | | | (7578) ~ (all_22_1 = e1)
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (257) gives:
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | | | | | (7579) all_63_14 = e3
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6926), (7399), (7579) are inconsistent by
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #252.
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | | | | | (7580) all_63_14 = e2 | all_63_14 = e1 | all_63_14 = e0
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7580) gives:
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | | | | | | (7581) all_63_14 = e2
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5776), (6926), (7581) are inconsistent by
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #251.
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | | | | | | (7582) all_63_14 = e1 | all_63_14 = e0
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7582) gives:
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | (7583) all_63_14 = e1
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6926), (7577), (7583) are inconsistent by
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #250.
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | (7584) all_63_14 = e0
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6926), (7584) imply:
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | (7585) all_61_14 = e0
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7585) implies:
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | (7586) all_61_14 = e0
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7427), (7586) imply:
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | (7587) ~ (all_28_1 = e0)
% 173.35/26.42 | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7587) implies:
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | (7588) ~ (all_28_1 = e0)
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6935), (7586) imply:
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | (7589) ~ (all_22_1 = e0)
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (264) gives:
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | (7590) all_63_7 = e3
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6928), (7590) imply:
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | (7591) all_22_1 = e3
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7400), (7591) imply:
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | (7592) $false
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (7592) is inconsistent.
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | (7593) ~ (all_63_7 = e3)
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | (7594) all_63_7 = e2 | all_63_7 = e1 | all_63_7 = e0
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7594) gives:
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7595) all_63_7 = e2
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6928), (7595) imply:
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7596) all_22_1 = e2
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7428), (7596) imply:
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7597) ~ (all_28_1 = e2)
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (268), (7423), (7430), (7526), (7588), (7597) are
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #430.
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7598) ~ (all_63_7 = e2)
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6928), (7598) imply:
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7599) ~ (all_22_1 = e2)
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (258), (6927), (6938), (7400), (7578), (7599) are
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #414.
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | | | (7600) all_63_9 = e0
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7562), (7600) imply:
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | | | (7601) unit = e0
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7566), (7601) imply:
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | | | (7602) $false
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (7602) is inconsistent.
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | | End of split
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | End of split
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | |
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | End of split
% 173.35/26.43 | | | | | | | | | | | | | | | | | | |
% 173.35/26.43 | | | | | | | | | | | | | | | | | | End of split
% 173.35/26.43 | | | | | | | | | | | | | | | | | |
% 173.35/26.43 | | | | | | | | | | | | | | | | | Case 2:
% 173.35/26.43 | | | | | | | | | | | | | | | | | |
% 173.35/26.43 | | | | | | | | | | | | | | | | | | (7603) all_58_0 = e1
% 173.35/26.43 | | | | | | | | | | | | | | | | | |
% 173.35/26.43 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (484), (7603) imply:
% 173.35/26.43 | | | | | | | | | | | | | | | | | | (7604) all_52_0 = e1
% 173.35/26.43 | | | | | | | | | | | | | | | | | |
% 173.35/26.43 | | | | | | | | | | | | | | | | | | SIMP: (7604) implies:
% 173.35/26.43 | | | | | | | | | | | | | | | | | | (7605) all_52_0 = e1
% 173.35/26.43 | | | | | | | | | | | | | | | | | |
% 173.35/26.43 | | | | | | | | | | | | | | | | | | REDUCE: (628), (7605) imply:
% 173.35/26.43 | | | | | | | | | | | | | | | | | | (7606) ~ (all_52_1 = e1)
% 173.35/26.43 | | | | | | | | | | | | | | | | | |
% 173.35/26.43 | | | | | | | | | | | | | | | | | | SIMP: (7606) implies:
% 173.35/26.43 | | | | | | | | | | | | | | | | | | (7607) ~ (all_52_1 = e1)
% 173.35/26.43 | | | | | | | | | | | | | | | | | |
% 173.35/26.43 | | | | | | | | | | | | | | | | | | REDUCE: (630), (7605) imply:
% 173.35/26.43 | | | | | | | | | | | | | | | | | | (7608) ~ (all_52_3 = e1)
% 173.35/26.43 | | | | | | | | | | | | | | | | | |
% 173.35/26.43 | | | | | | | | | | | | | | | | | | REDUCE: (714), (7605) imply:
% 173.35/26.43 | | | | | | | | | | | | | | | | | | (7609) op(e3, e1) = unit
% 173.35/26.43 | | | | | | | | | | | | | | | | | |
% 173.35/26.43 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_40_1, unit, e1, e3,
% 173.35/26.43 | | | | | | | | | | | | | | | | | | simplifying with (7521), (7609) gives:
% 173.35/26.43 | | | | | | | | | | | | | | | | | | (7610) all_40_1 = unit
% 173.35/26.43 | | | | | | | | | | | | | | | | | |
% 173.35/26.43 | | | | | | | | | | | | | | | | | | REDUCE: (7547), (7610) imply:
% 173.35/26.43 | | | | | | | | | | | | | | | | | | (7611) ~ (all_28_1 = unit)
% 173.35/26.43 | | | | | | | | | | | | | | | | | |
% 173.35/26.43 | | | | | | | | | | | | | | | | | | SIMP: (7611) implies:
% 173.35/26.43 | | | | | | | | | | | | | | | | | | (7612) ~ (all_28_1 = unit)
% 173.35/26.43 | | | | | | | | | | | | | | | | | |
% 173.35/26.43 | | | | | | | | | | | | | | | | | | REDUCE: (7548), (7610) imply:
% 173.35/26.43 | | | | | | | | | | | | | | | | | | (7613) ~ (unit = e2)
% 173.35/26.43 | | | | | | | | | | | | | | | | | |
% 173.35/26.43 | | | | | | | | | | | | | | | | | | REDUCE: (7549), (7610) imply:
% 173.35/26.43 | | | | | | | | | | | | | | | | | | (7614) ~ (unit = e1)
% 173.35/26.43 | | | | | | | | | | | | | | | | | |
% 173.35/26.43 | | | | | | | | | | | | | | | | | | BETA: splitting (852) gives:
% 173.35/26.43 | | | | | | | | | | | | | | | | | |
% 173.35/26.43 | | | | | | | | | | | | | | | | | | Case 1:
% 173.35/26.43 | | | | | | | | | | | | | | | | | | |
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | (7615) unit = e2
% 173.35/26.43 | | | | | | | | | | | | | | | | | | |
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | REDUCE: (7613), (7615) imply:
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | (7616) $false
% 173.35/26.43 | | | | | | | | | | | | | | | | | | |
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | CLOSE: (7616) is inconsistent.
% 173.35/26.43 | | | | | | | | | | | | | | | | | | |
% 173.35/26.43 | | | | | | | | | | | | | | | | | | Case 2:
% 173.35/26.43 | | | | | | | | | | | | | | | | | | |
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | (7617) unit = e1 | unit = e0
% 173.35/26.43 | | | | | | | | | | | | | | | | | | |
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | BETA: splitting (7617) gives:
% 173.35/26.43 | | | | | | | | | | | | | | | | | | |
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | Case 1:
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | |
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | (7618) unit = e1
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | |
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | REDUCE: (7614), (7618) imply:
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | (7619) $false
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | |
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | CLOSE: (7619) is inconsistent.
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | |
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | Case 2:
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | |
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | (7620) unit = e0
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | |
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | REDUCE: (7612), (7620) imply:
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | (7621) ~ (all_28_1 = e0)
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | |
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | BETA: splitting (158) gives:
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | |
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | | (7622) ~ (all_58_3 = e2)
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | | REDUCE: (475), (7622) imply:
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | | (7623) ~ (all_52_3 = e2)
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (159) gives:
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | | | (7624) ~ (all_58_3 = e3)
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (475), (7624) imply:
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | | | (7625) ~ (all_52_3 = e3)
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (50), (148), (539), (765), (851), (7408), (7552),
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | | | (7623), (7625) are inconsistent by sub-proof #439.
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | | | (7626) all_58_3 = e3
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | | | (7627) all_58_0 = e0
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (484), (7627) imply:
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | | | (7628) all_52_0 = e0
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | | | SIMP: (7628) implies:
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | | | (7629) all_52_0 = e0
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (475), (7626) imply:
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | | | (7630) all_52_3 = e3
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (628), (7629) imply:
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | | | (7631) ~ (all_52_1 = e0)
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | | | SIMP: (7631) implies:
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | | | (7632) ~ (all_52_1 = e0)
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (632), (7630) imply:
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | | | (7633) ~ (all_52_1 = e3)
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (714), (7629) imply:
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | | | (7634) op(e3, e0) = unit
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (150) gives:
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | | | | (7635) all_56_1 = e3
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (536), (7633), (7635) are inconsistent by
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #455.
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | | | | (7636) all_56_1 = e2 | all_56_1 = e1 | all_56_1 = e0
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7636) gives:
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | | | | | (7637) all_56_1 = e2
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (536), (7637) imply:
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | | | | | (7638) all_52_1 = e2
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7638) implies:
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | | | | | (7639) all_52_1 = e2
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (731), (7639) imply:
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | | | | | (7640) op(e2, e2) = unit
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_28_1, unit, e0, e3,
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (7438), (7634) gives:
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | | | | | (7641) all_28_1 = unit
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7620), (7641) imply:
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | | | | | (7642) all_28_1 = e0
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7621), (7642) imply:
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | | | | | (7643) $false
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (7643) is inconsistent.
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | | | | | (7644) all_56_1 = e1 | all_56_1 = e0
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (536), (7607), (7632), (7644) are inconsistent by
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #454.
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | | End of split
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | | (7645) all_58_1 = e0
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (481), (7645) imply:
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | | (7646) all_52_1 = e0
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | | SIMP: (7646) implies:
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | | (7647) all_52_1 = e0
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | | REDUCE: (731), (7647) imply:
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | | (7648) op(e2, e0) = unit
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (23), (50), (6885), (7401), (7648) are
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #391.
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | End of split
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | |
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | End of split
% 173.35/26.43 | | | | | | | | | | | | | | | | | | |
% 173.35/26.43 | | | | | | | | | | | | | | | | | | End of split
% 173.35/26.43 | | | | | | | | | | | | | | | | | |
% 173.35/26.43 | | | | | | | | | | | | | | | | | End of split
% 173.35/26.43 | | | | | | | | | | | | | | | | |
% 173.35/26.43 | | | | | | | | | | | | | | | | Case 2:
% 173.35/26.43 | | | | | | | | | | | | | | | | |
% 173.35/26.43 | | | | | | | | | | | | | | | | | (7649) all_58_2 = e0
% 173.35/26.43 | | | | | | | | | | | | | | | | |
% 173.35/26.43 | | | | | | | | | | | | | | | | | COMBINE_EQS: (478), (7649) imply:
% 173.35/26.43 | | | | | | | | | | | | | | | | | (7650) all_52_2 = e0
% 173.35/26.43 | | | | | | | | | | | | | | | | |
% 173.35/26.43 | | | | | | | | | | | | | | | | | SIMP: (7650) implies:
% 173.35/26.43 | | | | | | | | | | | | | | | | | (7651) all_52_2 = e0
% 173.35/26.43 | | | | | | | | | | | | | | | | |
% 173.35/26.43 | | | | | | | | | | | | | | | | | REDUCE: (748), (7651) imply:
% 173.35/26.43 | | | | | | | | | | | | | | | | | (7652) op(e1, e0) = unit
% 173.35/26.43 | | | | | | | | | | | | | | | | |
% 173.35/26.43 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_14, unit, e0, e1,
% 173.35/26.43 | | | | | | | | | | | | | | | | | simplifying with (227), (7652) gives:
% 173.35/26.43 | | | | | | | | | | | | | | | | | (7653) all_61_14 = unit
% 173.35/26.43 | | | | | | | | | | | | | | | | |
% 173.35/26.43 | | | | | | | | | | | | | | | | | REDUCE: (7546), (7653) imply:
% 173.35/26.43 | | | | | | | | | | | | | | | | | (7654) ~ (all_40_1 = unit)
% 173.35/26.43 | | | | | | | | | | | | | | | | |
% 173.35/26.43 | | | | | | | | | | | | | | | | | SIMP: (7654) implies:
% 173.35/26.43 | | | | | | | | | | | | | | | | | (7655) ~ (all_40_1 = unit)
% 173.35/26.43 | | | | | | | | | | | | | | | | |
% 173.35/26.43 | | | | | | | | | | | | | | | | | REDUCE: (6935), (7653) imply:
% 173.35/26.43 | | | | | | | | | | | | | | | | | (7656) ~ (all_22_1 = unit)
% 173.35/26.43 | | | | | | | | | | | | | | | | |
% 173.35/26.43 | | | | | | | | | | | | | | | | | SIMP: (7656) implies:
% 173.35/26.43 | | | | | | | | | | | | | | | | | (7657) ~ (all_22_1 = unit)
% 173.35/26.43 | | | | | | | | | | | | | | | | |
% 173.35/26.43 | | | | | | | | | | | | | | | | | REDUCE: (5776), (7653) imply:
% 173.35/26.43 | | | | | | | | | | | | | | | | | (7658) ~ (unit = e2)
% 173.35/26.43 | | | | | | | | | | | | | | | | |
% 173.35/26.43 | | | | | | | | | | | | | | | | | REDUCE: (6943), (7653) imply:
% 173.35/26.43 | | | | | | | | | | | | | | | | | (7659) op(unit, e1) = all_22_1
% 173.35/26.43 | | | | | | | | | | | | | | | | |
% 173.35/26.43 | | | | | | | | | | | | | | | | | REDUCE: (7550), (7653) imply:
% 173.35/26.43 | | | | | | | | | | | | | | | | | (7660) op(unit, e0) = all_40_1
% 173.35/26.43 | | | | | | | | | | | | | | | | |
% 173.35/26.43 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e0, all_40_1, e0, unit,
% 173.35/26.43 | | | | | | | | | | | | | | | | | simplifying with (7), (7660) gives:
% 173.35/26.43 | | | | | | | | | | | | | | | | | (7661) all_40_1 = e0
% 173.35/26.43 | | | | | | | | | | | | | | | | |
% 173.35/26.43 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e1, all_22_1, e1, unit,
% 173.35/26.43 | | | | | | | | | | | | | | | | | simplifying with (8), (7659) gives:
% 173.35/26.43 | | | | | | | | | | | | | | | | | (7662) all_22_1 = e1
% 173.35/26.43 | | | | | | | | | | | | | | | | |
% 173.35/26.43 | | | | | | | | | | | | | | | | | REDUCE: (7655), (7661) imply:
% 173.35/26.43 | | | | | | | | | | | | | | | | | (7663) ~ (unit = e0)
% 173.35/26.43 | | | | | | | | | | | | | | | | |
% 173.35/26.43 | | | | | | | | | | | | | | | | | REF_CLOSE: (852), (7657), (7658), (7662), (7663) are
% 173.35/26.43 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #253.
% 173.35/26.43 | | | | | | | | | | | | | | | | |
% 173.35/26.43 | | | | | | | | | | | | | | | | End of split
% 173.35/26.43 | | | | | | | | | | | | | | | |
% 173.35/26.43 | | | | | | | | | | | | | | | End of split
% 173.35/26.43 | | | | | | | | | | | | | | |
% 173.35/26.43 | | | | | | | | | | | | | | End of split
% 173.35/26.43 | | | | | | | | | | | | | |
% 173.35/26.43 | | | | | | | | | | | | | Case 2:
% 173.35/26.43 | | | | | | | | | | | | | |
% 173.35/26.43 | | | | | | | | | | | | | | (7664) all_36_2 = e0
% 173.35/26.43 | | | | | | | | | | | | | |
% 173.35/26.43 | | | | | | | | | | | | | | COMBINE_EQS: (557), (7664) imply:
% 173.35/26.43 | | | | | | | | | | | | | | (7665) all_14_2 = e0
% 173.35/26.43 | | | | | | | | | | | | | |
% 173.35/26.43 | | | | | | | | | | | | | | SIMP: (7665) implies:
% 173.35/26.43 | | | | | | | | | | | | | | (7666) all_14_2 = e0
% 173.35/26.43 | | | | | | | | | | | | | |
% 173.35/26.43 | | | | | | | | | | | | | | REDUCE: (599), (7666) imply:
% 173.35/26.43 | | | | | | | | | | | | | | (7667) ~ (all_61_4 = e0)
% 173.35/26.43 | | | | | | | | | | | | | |
% 173.35/26.43 | | | | | | | | | | | | | | REDUCE: (601), (7666) imply:
% 173.35/26.43 | | | | | | | | | | | | | | (7668) ~ (all_61_8 = e0)
% 173.35/26.43 | | | | | | | | | | | | | |
% 173.35/26.43 | | | | | | | | | | | | | | REDUCE: (5858), (7666) imply:
% 173.35/26.43 | | | | | | | | | | | | | | (7669) ~ (e2 = e0)
% 173.35/26.43 | | | | | | | | | | | | | |
% 173.35/26.43 | | | | | | | | | | | | | | REDUCE: (715), (7666) imply:
% 173.35/26.43 | | | | | | | | | | | | | | (7670) op(e2, e0) = all_65_16
% 173.35/26.43 | | | | | | | | | | | | | |
% 173.35/26.43 | | | | | | | | | | | | | | REDUCE: (732), (7666) imply:
% 173.35/26.43 | | | | | | | | | | | | | | (7671) op(e1, e0) = all_65_32
% 173.35/26.43 | | | | | | | | | | | | | |
% 173.35/26.43 | | | | | | | | | | | | | | REDUCE: (749), (7666) imply:
% 173.35/26.43 | | | | | | | | | | | | | | (7672) op(e0, e0) = all_65_49
% 173.35/26.43 | | | | | | | | | | | | | |
% 173.35/26.43 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e3, all_65_49, e0, e0,
% 173.35/26.43 | | | | | | | | | | | | | | simplifying with (7408), (7672) gives:
% 173.35/26.43 | | | | | | | | | | | | | | (7673) all_65_49 = e3
% 173.35/26.43 | | | | | | | | | | | | | |
% 173.35/26.43 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_14, all_65_32, e0,
% 173.35/26.43 | | | | | | | | | | | | | | e1, simplifying with (227), (7671) gives:
% 173.35/26.43 | | | | | | | | | | | | | | (7674) all_65_32 = all_61_14
% 173.35/26.43 | | | | | | | | | | | | | |
% 173.35/26.43 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_22_1, all_65_16, e0,
% 173.35/26.43 | | | | | | | | | | | | | | e2, simplifying with (6885), (7670) gives:
% 173.35/26.43 | | | | | | | | | | | | | | (7675) all_65_16 = all_22_1
% 173.35/26.43 | | | | | | | | | | | | | |
% 173.35/26.43 | | | | | | | | | | | | | | BETA: splitting (157) gives:
% 173.35/26.43 | | | | | | | | | | | | | |
% 173.35/26.43 | | | | | | | | | | | | | | Case 1:
% 173.35/26.43 | | | | | | | | | | | | | | |
% 173.35/26.43 | | | | | | | | | | | | | | | (7676) ~ (all_58_3 = e1)
% 173.35/26.43 | | | | | | | | | | | | | | |
% 173.35/26.43 | | | | | | | | | | | | | | | REDUCE: (475), (7676) imply:
% 173.35/26.43 | | | | | | | | | | | | | | | (7677) ~ (all_52_3 = e1)
% 173.35/26.43 | | | | | | | | | | | | | | |
% 173.35/26.43 | | | | | | | | | | | | | | | BETA: splitting (163) gives:
% 173.35/26.43 | | | | | | | | | | | | | | |
% 173.35/26.43 | | | | | | | | | | | | | | | Case 1:
% 173.35/26.43 | | | | | | | | | | | | | | | |
% 173.35/26.43 | | | | | | | | | | | | | | | | (7678) ~ (all_58_1 = e0)
% 173.35/26.43 | | | | | | | | | | | | | | | |
% 173.35/26.43 | | | | | | | | | | | | | | | | REDUCE: (481), (7678) imply:
% 173.35/26.43 | | | | | | | | | | | | | | | | (7679) ~ (all_52_1 = e0)
% 173.35/26.43 | | | | | | | | | | | | | | | |
% 173.35/26.43 | | | | | | | | | | | | | | | | BETA: splitting (158) gives:
% 173.35/26.43 | | | | | | | | | | | | | | | |
% 173.35/26.43 | | | | | | | | | | | | | | | | Case 1:
% 173.35/26.43 | | | | | | | | | | | | | | | | |
% 173.35/26.43 | | | | | | | | | | | | | | | | | (7680) ~ (all_58_3 = e2)
% 173.35/26.43 | | | | | | | | | | | | | | | | |
% 173.35/26.43 | | | | | | | | | | | | | | | | | REDUCE: (475), (7680) imply:
% 173.35/26.43 | | | | | | | | | | | | | | | | | (7681) ~ (all_52_3 = e2)
% 173.35/26.43 | | | | | | | | | | | | | | | | |
% 173.35/26.43 | | | | | | | | | | | | | | | | | BETA: splitting (162) gives:
% 173.35/26.43 | | | | | | | | | | | | | | | | |
% 173.35/26.43 | | | | | | | | | | | | | | | | | Case 1:
% 173.35/26.43 | | | | | | | | | | | | | | | | | |
% 173.35/26.43 | | | | | | | | | | | | | | | | | | (7682) ~ (all_58_2 = e3)
% 173.35/26.43 | | | | | | | | | | | | | | | | | |
% 173.35/26.43 | | | | | | | | | | | | | | | | | | REDUCE: (478), (7682) imply:
% 173.35/26.43 | | | | | | | | | | | | | | | | | | (7683) ~ (all_52_2 = e3)
% 173.35/26.43 | | | | | | | | | | | | | | | | | |
% 173.35/26.43 | | | | | | | | | | | | | | | | | | BETA: splitting (161) gives:
% 173.35/26.43 | | | | | | | | | | | | | | | | | |
% 173.35/26.43 | | | | | | | | | | | | | | | | | | Case 1:
% 173.35/26.43 | | | | | | | | | | | | | | | | | | |
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | (7684) ~ (all_58_2 = e2)
% 173.35/26.43 | | | | | | | | | | | | | | | | | | |
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | REDUCE: (478), (7684) imply:
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | (7685) ~ (all_52_2 = e2)
% 173.35/26.43 | | | | | | | | | | | | | | | | | | |
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (19), (50), (149), (160), (475), (478),
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | (538), (748), (5784), (6900), (7677), (7683),
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | (7685) are inconsistent by sub-proof #269.
% 173.35/26.43 | | | | | | | | | | | | | | | | | | |
% 173.35/26.43 | | | | | | | | | | | | | | | | | | Case 2:
% 173.35/26.43 | | | | | | | | | | | | | | | | | | |
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | (7686) all_58_1 = e1
% 173.35/26.43 | | | | | | | | | | | | | | | | | | |
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (481), (7686) imply:
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | (7687) all_52_1 = e1
% 173.35/26.43 | | | | | | | | | | | | | | | | | | |
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | SIMP: (7687) implies:
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | (7688) all_52_1 = e1
% 173.35/26.43 | | | | | | | | | | | | | | | | | | |
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | REDUCE: (731), (7688) imply:
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | (7689) op(e2, e1) = unit
% 173.35/26.43 | | | | | | | | | | | | | | | | | | |
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_10_1, unit, e1, e2,
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | simplifying with (5838), (7689) gives:
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | (7690) all_10_1 = unit
% 173.35/26.43 | | | | | | | | | | | | | | | | | | |
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | REDUCE: (5812), (7690) imply:
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | (7691) ~ (all_61_4 = unit)
% 173.35/26.43 | | | | | | | | | | | | | | | | | | |
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | REDUCE: (5817), (7690) imply:
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | (7692) ~ (all_61_8 = unit)
% 173.35/26.43 | | | | | | | | | | | | | | | | | | |
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | REDUCE: (6937), (7690) imply:
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | (7693) ~ (all_22_1 = unit)
% 173.35/26.43 | | | | | | | | | | | | | | | | | | |
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | REDUCE: (5823), (7690) imply:
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | (7694) ~ (unit = e2)
% 173.35/26.43 | | | | | | | | | | | | | | | | | | |
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | REDUCE: (6892), (7690) imply:
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | (7695) ~ (unit = e0)
% 173.35/26.43 | | | | | | | | | | | | | | | | | | |
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | BETA: splitting (852) gives:
% 173.35/26.43 | | | | | | | | | | | | | | | | | | |
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | Case 1:
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | |
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | (7696) unit = e2
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | |
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | REDUCE: (7694), (7696) imply:
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | (7697) $false
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | |
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | CLOSE: (7697) is inconsistent.
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | |
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | Case 2:
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | |
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | (7698) unit = e1 | unit = e0
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | |
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | BETA: splitting (7698) gives:
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | |
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | | (7699) unit = e1
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | | REDUCE: (7691), (7699) imply:
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | | (7700) ~ (all_61_4 = e1)
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | | REDUCE: (7692), (7699) imply:
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | | (7701) ~ (all_61_8 = e1)
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | | REDUCE: (7693), (7699) imply:
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | | (7702) ~ (all_22_1 = e1)
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (269) gives:
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | | | (7703) all_63_2 = e3
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (489), (7703) imply:
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | | | (7704) all_61_8 = e3
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (201), (7704) imply:
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | | | (7705) ~ (all_61_4 = e3)
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (258), (270), (488), (6927), (6938), (7400),
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | | | (7424), (7667), (7700), (7702), (7705) are
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #267.
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | | | (7706) all_63_2 = e2 | all_63_2 = e1 | all_63_2 = e0
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (489), (5773), (7668), (7701), (7706) are
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #401.
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | | End of split
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | | (7707) ~ (unit = e1)
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7695), (7698), (7707) are inconsistent by
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | | sub-proof #419.
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | | End of split
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | |
% 173.35/26.43 | | | | | | | | | | | | | | | | | | | End of split
% 173.35/26.43 | | | | | | | | | | | | | | | | | | |
% 173.35/26.43 | | | | | | | | | | | | | | | | | | End of split
% 173.35/26.43 | | | | | | | | | | | | | | | | | |
% 173.35/26.43 | | | | | | | | | | | | | | | | | Case 2:
% 173.35/26.43 | | | | | | | | | | | | | | | | | |
% 173.35/26.43 | | | | | | | | | | | | | | | | | | (7708) all_58_2 = e3
% 173.35/26.43 | | | | | | | | | | | | | | | | | | (7709) all_58_0 = e1
% 173.35/26.43 | | | | | | | | | | | | | | | | | |
% 173.35/26.43 | | | | | | | | | | | | | | | | | | REF_CLOSE: (50), (148), (478), (484), (539), (630), (633),
% 173.35/26.43 | | | | | | | | | | | | | | | | | | (765), (851), (7408), (7681), (7708), (7709) are
% 173.35/26.43 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #431.
% 173.35/26.44 | | | | | | | | | | | | | | | | | |
% 173.35/26.44 | | | | | | | | | | | | | | | | | End of split
% 173.35/26.44 | | | | | | | | | | | | | | | | |
% 173.35/26.44 | | | | | | | | | | | | | | | | Case 2:
% 173.35/26.44 | | | | | | | | | | | | | | | | |
% 173.35/26.44 | | | | | | | | | | | | | | | | | (7710) all_58_1 = e0
% 173.35/26.44 | | | | | | | | | | | | | | | | |
% 173.35/26.44 | | | | | | | | | | | | | | | | | REF_CLOSE: (481), (7679), (7710) are inconsistent by
% 173.35/26.44 | | | | | | | | | | | | | | | | | sub-proof #462.
% 173.35/26.44 | | | | | | | | | | | | | | | | |
% 173.35/26.44 | | | | | | | | | | | | | | | | End of split
% 173.35/26.44 | | | | | | | | | | | | | | | |
% 173.35/26.44 | | | | | | | | | | | | | | | Case 2:
% 173.35/26.44 | | | | | | | | | | | | | | | |
% 173.35/26.44 | | | | | | | | | | | | | | | | (7711) all_58_1 = e0
% 173.35/26.44 | | | | | | | | | | | | | | | |
% 173.35/26.44 | | | | | | | | | | | | | | | | REF_CLOSE: (9), (23), (50), (481), (731), (6885), (7401),
% 173.35/26.44 | | | | | | | | | | | | | | | | (7711) are inconsistent by sub-proof #390.
% 173.35/26.44 | | | | | | | | | | | | | | | |
% 173.35/26.44 | | | | | | | | | | | | | | | End of split
% 173.35/26.44 | | | | | | | | | | | | | | |
% 173.35/26.44 | | | | | | | | | | | | | | Case 2:
% 173.35/26.44 | | | | | | | | | | | | | | |
% 173.35/26.44 | | | | | | | | | | | | | | | (7712) all_58_2 = e0
% 173.35/26.44 | | | | | | | | | | | | | | |
% 173.35/26.44 | | | | | | | | | | | | | | | COMBINE_EQS: (478), (7712) imply:
% 173.35/26.44 | | | | | | | | | | | | | | | (7713) all_52_2 = e0
% 173.35/26.44 | | | | | | | | | | | | | | |
% 173.35/26.44 | | | | | | | | | | | | | | | SIMP: (7713) implies:
% 173.35/26.44 | | | | | | | | | | | | | | | (7714) all_52_2 = e0
% 173.35/26.44 | | | | | | | | | | | | | | |
% 173.35/26.44 | | | | | | | | | | | | | | | REDUCE: (748), (7714) imply:
% 173.35/26.44 | | | | | | | | | | | | | | | (7715) op(e1, e0) = unit
% 173.35/26.44 | | | | | | | | | | | | | | |
% 173.35/26.44 | | | | | | | | | | | | | | | REF_CLOSE: (7), (50), (227), (7434), (7668), (7715) are
% 173.35/26.44 | | | | | | | | | | | | | | | inconsistent by sub-proof #249.
% 173.35/26.44 | | | | | | | | | | | | | | |
% 173.35/26.44 | | | | | | | | | | | | | | End of split
% 173.35/26.44 | | | | | | | | | | | | | |
% 173.35/26.44 | | | | | | | | | | | | | End of split
% 173.35/26.44 | | | | | | | | | | | | |
% 173.35/26.44 | | | | | | | | | | | | End of split
% 173.35/26.44 | | | | | | | | | | | |
% 173.35/26.44 | | | | | | | | | | | End of split
% 173.35/26.44 | | | | | | | | | | |
% 173.35/26.44 | | | | | | | | | | End of split
% 173.35/26.44 | | | | | | | | | |
% 173.35/26.44 | | | | | | | | | Case 2:
% 173.35/26.44 | | | | | | | | | |
% 173.35/26.44 | | | | | | | | | | (7716) all_20_2 = e2
% 173.35/26.44 | | | | | | | | | | (7717) op(e0, e2) = all_20_1 & $i(all_20_1) & ( ~
% 173.35/26.44 | | | | | | | | | | (all_20_1 = e1) | ( ~ (all_20_0 = e3) & op(e1,
% 173.35/26.44 | | | | | | | | | | e0) = all_20_0 & $i(all_20_0)))
% 173.35/26.44 | | | | | | | | | |
% 173.35/26.44 | | | | | | | | | | ALPHA: (7717) implies:
% 173.35/26.44 | | | | | | | | | | (7718) op(e0, e2) = all_20_1
% 173.35/26.44 | | | | | | | | | |
% 173.35/26.44 | | | | | | | | | | REDUCE: (606), (7716) imply:
% 173.35/26.44 | | | | | | | | | | (7719) ~ (all_61_3 = e2)
% 173.35/26.44 | | | | | | | | | |
% 173.35/26.44 | | | | | | | | | | REDUCE: (625), (7716) imply:
% 173.35/26.44 | | | | | | | | | | (7720) ~ (all_61_12 = e2)
% 173.35/26.44 | | | | | | | | | |
% 173.35/26.44 | | | | | | | | | | REDUCE: (626), (7716) imply:
% 173.35/26.44 | | | | | | | | | | (7721) ~ (all_61_13 = e2)
% 173.35/26.44 | | | | | | | | | |
% 173.35/26.44 | | | | | | | | | | REDUCE: (694), (7716) imply:
% 173.35/26.44 | | | | | | | | | | (7722) op(e2, e3) = all_65_73
% 173.35/26.44 | | | | | | | | | |
% 173.35/26.44 | | | | | | | | | | REDUCE: (695), (7716) imply:
% 173.35/26.44 | | | | | | | | | | (7723) op(e2, e2) = all_65_75
% 173.35/26.44 | | | | | | | | | |
% 173.35/26.44 | | | | | | | | | | REDUCE: (696), (7716) imply:
% 173.35/26.44 | | | | | | | | | | (7724) op(e2, e1) = all_65_77
% 173.35/26.44 | | | | | | | | | |
% 173.35/26.44 | | | | | | | | | | REDUCE: (697), (7716) imply:
% 173.35/26.44 | | | | | | | | | | (7725) op(e2, e0) = all_65_78
% 173.35/26.44 | | | | | | | | | |
% 173.35/26.44 | | | | | | | | | | REDUCE: (713), (7716) imply:
% 173.35/26.44 | | | | | | | | | | (7726) op(e3, e2) = all_65_15
% 173.35/26.44 | | | | | | | | | |
% 173.35/26.44 | | | | | | | | | | REDUCE: (730), (7716) imply:
% 173.35/26.44 | | | | | | | | | | (7727) op(e2, e2) = all_65_31
% 173.35/26.44 | | | | | | | | | |
% 173.35/26.44 | | | | | | | | | | REDUCE: (747), (7716) imply:
% 173.35/26.44 | | | | | | | | | | (7728) op(e1, e2) = all_65_47
% 173.35/26.44 | | | | | | | | | |
% 173.35/26.44 | | | | | | | | | | REDUCE: (764), (7716) imply:
% 173.35/26.44 | | | | | | | | | | (7729) op(e0, e2) = all_65_78
% 173.35/26.44 | | | | | | | | | |
% 173.35/26.44 | | | | | | | | | | REDUCE: (76), (7716) imply:
% 173.35/26.44 | | | | | | | | | | (7730) op(e0, e0) = e2
% 173.35/26.44 | | | | | | | | | |
% 173.35/26.44 | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_7, all_20_1, e2,
% 173.35/26.44 | | | | | | | | | | e0, simplifying with (225), (7718) gives:
% 173.35/26.44 | | | | | | | | | | (7731) all_61_7 = all_20_1
% 173.35/26.44 | | | | | | | | | |
% 173.35/26.44 | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_7, all_65_78, e2,
% 173.35/26.44 | | | | | | | | | | e0, simplifying with (225), (7729) gives:
% 173.35/26.44 | | | | | | | | | | (7732) all_65_78 = all_61_7
% 173.35/26.44 | | | | | | | | | |
% 173.35/26.44 | | | | | | | | | | GROUND_INST: instantiating (50) with all_10_1, all_65_47, e2,
% 173.35/26.44 | | | | | | | | | | e1, simplifying with (5768), (7728) gives:
% 173.35/26.44 | | | | | | | | | | (7733) all_65_47 = all_10_1
% 173.35/26.44 | | | | | | | | | |
% 173.35/26.44 | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_13, all_65_78, e0,
% 173.35/26.44 | | | | | | | | | | e2, simplifying with (231), (7725) gives:
% 173.35/26.44 | | | | | | | | | | (7734) all_65_78 = all_61_13
% 173.35/26.44 | | | | | | | | | |
% 173.35/26.44 | | | | | | | | | | GROUND_INST: instantiating (50) with all_10_1, all_65_77, e1,
% 173.35/26.44 | | | | | | | | | | e2, simplifying with (5838), (7724) gives:
% 173.35/26.44 | | | | | | | | | | (7735) all_65_77 = all_10_1
% 173.35/26.44 | | | | | | | | | |
% 173.35/26.44 | | | | | | | | | | GROUND_INST: instantiating (50) with all_6_2, all_65_31, e2,
% 173.35/26.44 | | | | | | | | | | e2, simplifying with (55), (7727) gives:
% 173.35/26.44 | | | | | | | | | | (7736) all_65_31 = all_6_2
% 173.35/26.44 | | | | | | | | | |
% 173.35/26.44 | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_75, all_65_31, e2,
% 173.35/26.44 | | | | | | | | | | e2, simplifying with (7723), (7727) gives:
% 173.35/26.44 | | | | | | | | | | (7737) all_65_31 = all_65_75
% 173.35/26.44 | | | | | | | | | |
% 173.35/26.44 | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_1, all_65_73, e3,
% 173.35/26.44 | | | | | | | | | | e2, simplifying with (234), (7722) gives:
% 173.35/26.44 | | | | | | | | | | (7738) all_65_73 = all_61_1
% 173.35/26.44 | | | | | | | | | |
% 173.35/26.44 | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_4, all_65_15, e2,
% 173.35/26.44 | | | | | | | | | | e3, simplifying with (237), (7726) gives:
% 173.35/26.44 | | | | | | | | | | (7739) all_65_15 = all_61_4
% 173.35/26.44 | | | | | | | | | |
% 173.35/26.44 | | | | | | | | | | COMBINE_EQS: (7736), (7737) imply:
% 173.35/26.44 | | | | | | | | | | (7740) all_65_75 = all_6_2
% 173.35/26.44 | | | | | | | | | |
% 173.35/26.44 | | | | | | | | | | COMBINE_EQS: (7732), (7734) imply:
% 173.35/26.44 | | | | | | | | | | (7741) all_61_7 = all_61_13
% 173.35/26.44 | | | | | | | | | |
% 173.35/26.44 | | | | | | | | | | SIMP: (7741) implies:
% 173.35/26.44 | | | | | | | | | | (7742) all_61_7 = all_61_13
% 173.35/26.44 | | | | | | | | | |
% 173.35/26.44 | | | | | | | | | | COMBINE_EQS: (7731), (7742) imply:
% 173.35/26.44 | | | | | | | | | | (7743) all_61_13 = all_20_1
% 173.35/26.44 | | | | | | | | | |
% 173.35/26.44 | | | | | | | | | | COMBINE_EQS: (508), (7731) imply:
% 173.35/26.44 | | | | | | | | | | (7744) all_63_13 = all_20_1
% 173.35/26.44 | | | | | | | | | |
% 173.35/26.44 | | | | | | | | | | COMBINE_EQS: (498), (7743) imply:
% 173.35/26.44 | | | | | | | | | | (7745) all_63_7 = all_20_1
% 173.35/26.44 | | | | | | | | | |
% 173.35/26.44 | | | | | | | | | | REDUCE: (207), (7731) imply:
% 173.35/26.44 | | | | | | | | | | (7746) ~ (all_61_3 = all_20_1)
% 173.35/26.44 | | | | | | | | | |
% 173.35/26.44 | | | | | | | | | | REDUCE: (192), (7731) imply:
% 173.35/26.44 | | | | | | | | | | (7747) ~ (all_61_11 = all_20_1)
% 173.35/26.44 | | | | | | | | | |
% 173.35/26.44 | | | | | | | | | | SIMP: (7747) implies:
% 173.35/26.44 | | | | | | | | | | (7748) ~ (all_61_11 = all_20_1)
% 173.35/26.44 | | | | | | | | | |
% 173.35/26.44 | | | | | | | | | | REDUCE: (180), (7743) imply:
% 173.35/26.44 | | | | | | | | | | (7749) ~ (all_61_12 = all_20_1)
% 173.35/26.44 | | | | | | | | | |
% 173.35/26.44 | | | | | | | | | | REDUCE: (177), (7743) imply:
% 173.35/26.44 | | | | | | | | | | (7750) ~ (all_61_14 = all_20_1)
% 173.35/26.44 | | | | | | | | | |
% 173.35/26.44 | | | | | | | | | | SIMP: (7750) implies:
% 173.35/26.44 | | | | | | | | | | (7751) ~ (all_61_14 = all_20_1)
% 173.35/26.44 | | | | | | | | | |
% 173.35/26.44 | | | | | | | | | | REDUCE: (5821), (7743) imply:
% 173.35/26.44 | | | | | | | | | | (7752) ~ (all_20_1 = all_10_1)
% 173.35/26.44 | | | | | | | | | |
% 173.35/26.44 | | | | | | | | | | REDUCE: (615), (7743) imply:
% 173.35/26.44 | | | | | | | | | | (7753) ~ (all_20_1 = all_6_2)
% 173.35/26.44 | | | | | | | | | |
% 173.35/26.44 | | | | | | | | | | REDUCE: (7721), (7743) imply:
% 173.35/26.44 | | | | | | | | | | (7754) ~ (all_20_1 = e2)
% 173.35/26.44 | | | | | | | | | |
% 173.35/26.44 | | | | | | | | | | REDUCE: (686), (7731) imply:
% 173.35/26.44 | | | | | | | | | | (7755) op(all_20_1, e3) = all_65_57
% 173.35/26.44 | | | | | | | | | |
% 173.35/26.44 | | | | | | | | | | REDUCE: (687), (7731) imply:
% 173.35/26.44 | | | | | | | | | | (7756) op(all_20_1, e2) = all_65_59
% 173.35/26.44 | | | | | | | | | |
% 173.35/26.44 | | | | | | | | | | REDUCE: (5852), (7731) imply:
% 173.35/26.44 | | | | | | | | | | (7757) op(all_20_1, e1) = all_65_67
% 173.35/26.44 | | | | | | | | | |
% 173.35/26.44 | | | | | | | | | | REDUCE: (689), (7731) imply:
% 173.35/26.44 | | | | | | | | | | (7758) op(all_20_1, e0) = all_65_63
% 173.35/26.44 | | | | | | | | | |
% 173.35/26.44 | | | | | | | | | | REDUCE: (5833), (7731) imply:
% 173.35/26.44 | | | | | | | | | | (7759) op(all_61_11, e1) = all_20_1
% 173.35/26.44 | | | | | | | | | |
% 173.35/26.44 | | | | | | | | | | REDUCE: (649), (7739) imply:
% 173.35/26.44 | | | | | | | | | | (7760) op(all_61_12, e0) = all_61_4
% 173.35/26.44 | | | | | | | | | |
% 173.35/26.44 | | | | | | | | | | REDUCE: (662), (7743) imply:
% 173.35/26.44 | | | | | | | | | | (7761) op(all_20_1, e3) = all_65_28
% 173.35/26.44 | | | | | | | | | |
% 173.35/26.44 | | | | | | | | | | REDUCE: (663), (7743) imply:
% 173.35/26.44 | | | | | | | | | | (7762) op(all_20_1, e2) = all_65_29
% 173.35/26.44 | | | | | | | | | |
% 173.35/26.44 | | | | | | | | | | REDUCE: (664), (7743) imply:
% 173.35/26.44 | | | | | | | | | | (7763) op(all_20_1, e1) = all_65_30
% 173.35/26.44 | | | | | | | | | |
% 173.35/26.44 | | | | | | | | | | REDUCE: (665), (7736), (7743) imply:
% 173.35/26.44 | | | | | | | | | | (7764) op(all_20_1, e0) = all_6_2
% 173.35/26.44 | | | | | | | | | |
% 173.35/26.44 | | | | | | | | | | REDUCE: (681), (7733) imply:
% 173.35/26.44 | | | | | | | | | | (7765) op(all_61_14, e0) = all_10_1
% 173.35/26.44 | | | | | | | | | |
% 173.35/26.44 | | | | | | | | | | REDUCE: (711), (7731) imply:
% 173.35/26.44 | | | | | | | | | | (7766) op(e3, all_20_1) = all_65_13
% 173.35/26.44 | | | | | | | | | |
% 173.35/26.44 | | | | | | | | | | REDUCE: (705), (7743) imply:
% 173.35/26.44 | | | | | | | | | | (7767) op(e3, all_20_1) = all_65_7
% 173.35/26.44 | | | | | | | | | |
% 173.35/26.44 | | | | | | | | | | REDUCE: (728), (7731) imply:
% 173.35/26.44 | | | | | | | | | | (7768) op(e2, all_20_1) = all_65_29
% 173.35/26.44 | | | | | | | | | |
% 173.35/26.44 | | | | | | | | | | REDUCE: (722), (7743) imply:
% 173.35/26.44 | | | | | | | | | | (7769) op(e2, all_20_1) = all_65_23
% 173.35/26.44 | | | | | | | | | |
% 173.35/26.44 | | | | | | | | | | REDUCE: (231), (7743) imply:
% 173.35/26.44 | | | | | | | | | | (7770) op(e2, e0) = all_20_1
% 173.35/26.44 | | | | | | | | | |
% 173.35/26.44 | | | | | | | | | | REDUCE: (745), (7731) imply:
% 173.35/26.44 | | | | | | | | | | (7771) op(e1, all_20_1) = all_65_45
% 173.35/26.44 | | | | | | | | | |
% 173.35/26.44 | | | | | | | | | | REDUCE: (739), (7743) imply:
% 173.35/26.44 | | | | | | | | | | (7772) op(e1, all_20_1) = all_65_39
% 173.35/26.44 | | | | | | | | | |
% 173.35/26.44 | | | | | | | | | | REDUCE: (761), (7738) imply:
% 173.35/26.44 | | | | | | | | | | (7773) op(e0, all_61_3) = all_61_1
% 173.35/26.44 | | | | | | | | | |
% 173.35/26.44 | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_45, all_65_39,
% 173.35/26.44 | | | | | | | | | | all_20_1, e1, simplifying with (7771), (7772)
% 173.35/26.44 | | | | | | | | | | gives:
% 173.35/26.44 | | | | | | | | | | (7774) all_65_39 = all_65_45
% 173.35/26.44 | | | | | | | | | |
% 173.35/26.44 | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_29, all_65_23,
% 173.35/26.44 | | | | | | | | | | all_20_1, e2, simplifying with (7768), (7769)
% 173.35/26.44 | | | | | | | | | | gives:
% 173.35/26.44 | | | | | | | | | | (7775) all_65_23 = all_65_29
% 173.35/26.44 | | | | | | | | | |
% 173.35/26.44 | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_13, all_65_7,
% 173.35/26.44 | | | | | | | | | | all_20_1, e3, simplifying with (7766), (7767)
% 173.35/26.44 | | | | | | | | | | gives:
% 173.35/26.44 | | | | | | | | | | (7776) all_65_7 = all_65_13
% 173.35/26.44 | | | | | | | | | |
% 173.35/26.44 | | | | | | | | | | GROUND_INST: instantiating (50) with all_6_2, all_65_63, e0,
% 173.35/26.44 | | | | | | | | | | all_20_1, simplifying with (7758), (7764) gives:
% 173.35/26.44 | | | | | | | | | | (7777) all_65_63 = all_6_2
% 173.35/26.44 | | | | | | | | | |
% 173.35/26.44 | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_67, all_65_30, e1,
% 173.35/26.44 | | | | | | | | | | all_20_1, simplifying with (7757), (7763) gives:
% 173.35/26.44 | | | | | | | | | | (7778) all_65_30 = all_65_67
% 173.35/26.44 | | | | | | | | | |
% 173.35/26.44 | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_59, all_65_29, e2,
% 173.35/26.44 | | | | | | | | | | all_20_1, simplifying with (7756), (7762) gives:
% 173.35/26.44 | | | | | | | | | | (7779) all_65_29 = all_65_59
% 173.35/26.44 | | | | | | | | | |
% 173.35/26.44 | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_57, all_65_28, e3,
% 173.35/26.44 | | | | | | | | | | all_20_1, simplifying with (7755), (7761) gives:
% 173.35/26.44 | | | | | | | | | | (7780) all_65_28 = all_65_57
% 173.35/26.44 | | | | | | | | | |
% 173.35/26.44 | | | | | | | | | | COMBINE_EQS: (7775), (7779) imply:
% 173.35/26.44 | | | | | | | | | | (7781) all_65_23 = all_65_59
% 173.35/26.44 | | | | | | | | | |
% 173.35/26.44 | | | | | | | | | | REDUCE: (641), (7776) imply:
% 173.35/26.44 | | | | | | | | | | (7782) op(all_61_4, e0) = all_65_13
% 173.35/26.44 | | | | | | | | | |
% 173.35/26.44 | | | | | | | | | | REDUCE: (5827), (7774) imply:
% 173.35/26.44 | | | | | | | | | | (7783) op(all_10_1, e0) = all_65_45
% 173.35/26.44 | | | | | | | | | |
% 173.35/26.44 | | | | | | | | | | REDUCE: (657), (7781) imply:
% 173.35/26.44 | | | | | | | | | | (7784) op(all_6_2, e0) = all_65_59
% 173.35/26.44 | | | | | | | | | |
% 173.35/26.44 | | | | | | | | | | REDUCE: (727), (7780) imply:
% 173.35/26.44 | | | | | | | | | | (7785) op(e2, all_61_3) = all_65_57
% 173.35/26.44 | | | | | | | | | |
% 173.35/26.44 | | | | | | | | | | BETA: splitting (80) gives:
% 173.35/26.44 | | | | | | | | | |
% 173.35/26.44 | | | | | | | | | | Case 1:
% 173.35/26.44 | | | | | | | | | | |
% 173.35/26.44 | | | | | | | | | | | (7786) ~ (all_22_2 = e0)
% 173.35/26.44 | | | | | | | | | | |
% 173.35/26.44 | | | | | | | | | | | REDUCE: (449), (7786) imply:
% 173.35/26.44 | | | | | | | | | | | (7787) ~ (all_6_2 = e0)
% 173.35/26.44 | | | | | | | | | | |
% 173.35/26.44 | | | | | | | | | | | BETA: splitting (266) gives:
% 173.35/26.44 | | | | | | | | | | |
% 173.35/26.44 | | | | | | | | | | | Case 1:
% 173.35/26.44 | | | | | | | | | | | |
% 173.35/26.44 | | | | | | | | | | | | (7788) all_63_5 = e3
% 173.35/26.44 | | | | | | | | | | | |
% 173.35/26.44 | | | | | | | | | | | | COMBINE_EQS: (587), (7788) imply:
% 173.35/26.44 | | | | | | | | | | | | (7789) all_6_2 = e3
% 173.35/26.44 | | | | | | | | | | | |
% 173.35/26.44 | | | | | | | | | | | | REDUCE: (767), (7789) imply:
% 173.35/26.44 | | | | | | | | | | | | (7790) $false
% 173.35/26.44 | | | | | | | | | | | |
% 173.35/26.44 | | | | | | | | | | | | CLOSE: (7790) is inconsistent.
% 173.35/26.44 | | | | | | | | | | | |
% 173.35/26.44 | | | | | | | | | | | Case 2:
% 173.35/26.44 | | | | | | | | | | | |
% 173.35/26.44 | | | | | | | | | | | | (7791) all_63_5 = e2 | all_63_5 = e1 | all_63_5 = e0
% 173.35/26.44 | | | | | | | | | | | |
% 173.35/26.44 | | | | | | | | | | | | BETA: splitting (7791) gives:
% 173.35/26.44 | | | | | | | | | | | |
% 173.35/26.44 | | | | | | | | | | | | Case 1:
% 173.35/26.44 | | | | | | | | | | | | |
% 173.35/26.44 | | | | | | | | | | | | | (7792) all_63_5 = e2
% 173.35/26.44 | | | | | | | | | | | | |
% 173.35/26.44 | | | | | | | | | | | | | COMBINE_EQS: (587), (7792) imply:
% 173.35/26.44 | | | | | | | | | | | | | (7793) all_6_2 = e2
% 173.35/26.44 | | | | | | | | | | | | |
% 173.35/26.44 | | | | | | | | | | | | | REDUCE: (604), (7793) imply:
% 173.35/26.44 | | | | | | | | | | | | | (7794) ~ (all_61_1 = e2)
% 173.35/26.44 | | | | | | | | | | | | |
% 173.35/26.44 | | | | | | | | | | | | | REDUCE: (7764), (7793) imply:
% 173.35/26.44 | | | | | | | | | | | | | (7795) op(all_20_1, e0) = e2
% 173.35/26.44 | | | | | | | | | | | | |
% 173.35/26.44 | | | | | | | | | | | | | REDUCE: (5831), (7793) imply:
% 173.35/26.44 | | | | | | | | | | | | | (7796) op(all_10_1, e1) = e2
% 173.35/26.44 | | | | | | | | | | | | |
% 173.35/26.44 | | | | | | | | | | | | | REDUCE: (654), (7793) imply:
% 173.35/26.44 | | | | | | | | | | | | | (7797) op(e2, e3) = all_65_20
% 173.35/26.44 | | | | | | | | | | | | |
% 173.35/26.44 | | | | | | | | | | | | | REDUCE: (5853), (7793) imply:
% 173.35/26.44 | | | | | | | | | | | | | (7798) op(e2, e1) = all_65_37
% 173.35/26.44 | | | | | | | | | | | | |
% 173.35/26.44 | | | | | | | | | | | | | REDUCE: (7784), (7793) imply:
% 173.35/26.44 | | | | | | | | | | | | | (7799) op(e2, e0) = all_65_59
% 173.35/26.44 | | | | | | | | | | | | |
% 173.35/26.44 | | | | | | | | | | | | | REDUCE: (703), (7793) imply:
% 173.35/26.44 | | | | | | | | | | | | | (7800) op(e3, e2) = all_65_5
% 173.35/26.44 | | | | | | | | | | | | |
% 173.35/26.44 | | | | | | | | | | | | | REDUCE: (720), (7793) imply:
% 173.35/26.44 | | | | | | | | | | | | | (7801) op(e2, e2) = all_65_21
% 173.35/26.44 | | | | | | | | | | | | |
% 173.35/26.44 | | | | | | | | | | | | | REDUCE: (55), (7793) imply:
% 173.35/26.44 | | | | | | | | | | | | | (7802) op(e2, e2) = e2
% 173.35/26.44 | | | | | | | | | | | | |
% 173.35/26.44 | | | | | | | | | | | | | BETA: splitting (172) gives:
% 173.35/26.44 | | | | | | | | | | | | |
% 173.35/26.44 | | | | | | | | | | | | | Case 1:
% 173.35/26.44 | | | | | | | | | | | | | |
% 173.35/26.44 | | | | | | | | | | | | | | (7803) ( ~ (all_60_0 = e2) & op(e3, e3) = all_60_0 &
% 173.35/26.44 | | | | | | | | | | | | | | $i(all_60_0)) | ( ~ (all_60_1 = e2) & op(e2, e2)
% 173.35/26.44 | | | | | | | | | | | | | | = all_60_1 & $i(all_60_1))
% 173.35/26.44 | | | | | | | | | | | | | |
% 173.35/26.44 | | | | | | | | | | | | | | BETA: splitting (7803) gives:
% 173.35/26.44 | | | | | | | | | | | | | |
% 173.35/26.44 | | | | | | | | | | | | | | Case 1:
% 173.35/26.44 | | | | | | | | | | | | | | |
% 173.35/26.44 | | | | | | | | | | | | | | | (7804) ~ (all_60_0 = e2) & op(e3, e3) = all_60_0 &
% 173.35/26.44 | | | | | | | | | | | | | | | $i(all_60_0)
% 173.35/26.44 | | | | | | | | | | | | | | |
% 173.35/26.44 | | | | | | | | | | | | | | | ALPHA: (7804) implies:
% 173.35/26.44 | | | | | | | | | | | | | | | (7805) ~ (all_60_0 = e2)
% 173.35/26.44 | | | | | | | | | | | | | | | (7806) op(e3, e3) = all_60_0
% 173.35/26.44 | | | | | | | | | | | | | | |
% 173.35/26.44 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_20_1, all_65_59, e0,
% 173.35/26.44 | | | | | | | | | | | | | | | e2, simplifying with (7770), (7799) gives:
% 173.35/26.44 | | | | | | | | | | | | | | | (7807) all_65_59 = all_20_1
% 173.35/26.44 | | | | | | | | | | | | | | |
% 173.35/26.44 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_10_1, all_65_37, e1,
% 173.35/26.44 | | | | | | | | | | | | | | | e2, simplifying with (5838), (7798) gives:
% 173.35/26.44 | | | | | | | | | | | | | | | (7808) all_65_37 = all_10_1
% 173.35/26.44 | | | | | | | | | | | | | | |
% 173.35/26.44 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e2, all_65_21, e2, e2,
% 173.35/26.44 | | | | | | | | | | | | | | | simplifying with (7801), (7802) gives:
% 173.35/26.44 | | | | | | | | | | | | | | | (7809) all_65_21 = e2
% 173.35/26.44 | | | | | | | | | | | | | | |
% 173.35/26.44 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_1, all_65_20, e3,
% 173.35/26.44 | | | | | | | | | | | | | | | e2, simplifying with (234), (7797) gives:
% 173.35/26.44 | | | | | | | | | | | | | | | (7810) all_65_20 = all_61_1
% 173.35/26.44 | | | | | | | | | | | | | | |
% 173.35/26.44 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_4, all_65_5, e2,
% 173.35/26.44 | | | | | | | | | | | | | | | e3, simplifying with (237), (7800) gives:
% 173.35/26.44 | | | | | | | | | | | | | | | (7811) all_65_5 = all_61_4
% 173.35/26.44 | | | | | | | | | | | | | | |
% 173.35/26.44 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_14_2, all_60_0, e3,
% 173.35/26.44 | | | | | | | | | | | | | | | e3, simplifying with (67), (7806) gives:
% 173.35/26.44 | | | | | | | | | | | | | | | (7812) all_60_0 = all_14_2
% 173.35/26.44 | | | | | | | | | | | | | | |
% 173.35/26.44 | | | | | | | | | | | | | | | BETA: splitting (101) gives:
% 173.35/26.44 | | | | | | | | | | | | | | |
% 173.35/26.44 | | | | | | | | | | | | | | | Case 1:
% 173.35/26.44 | | | | | | | | | | | | | | | |
% 173.35/26.44 | | | | | | | | | | | | | | | | (7813) ~ (all_36_2 = e0)
% 173.35/26.44 | | | | | | | | | | | | | | | |
% 173.35/26.44 | | | | | | | | | | | | | | | | REDUCE: (557), (7813) imply:
% 173.35/26.44 | | | | | | | | | | | | | | | | (7814) ~ (all_14_2 = e0)
% 173.35/26.44 | | | | | | | | | | | | | | | |
% 173.35/26.44 | | | | | | | | | | | | | | | | BETA: splitting (107) gives:
% 173.35/26.44 | | | | | | | | | | | | | | | |
% 173.35/26.44 | | | | | | | | | | | | | | | | Case 1:
% 173.35/26.44 | | | | | | | | | | | | | | | | |
% 173.35/26.44 | | | | | | | | | | | | | | | | | (7815) ~ (all_40_2 = e1)
% 173.35/26.44 | | | | | | | | | | | | | | | | |
% 173.35/26.44 | | | | | | | | | | | | | | | | | REDUCE: (553), (7815) imply:
% 173.35/26.44 | | | | | | | | | | | | | | | | | (7816) ~ (all_14_2 = e1)
% 173.35/26.44 | | | | | | | | | | | | | | | | |
% 173.35/26.45 | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (50), (67), (151), (159), (162), (165),
% 173.35/26.45 | | | | | | | | | | | | | | | | | (166), (167), (168), (226), (230), (234), (235),
% 173.35/26.45 | | | | | | | | | | | | | | | | | (236), (237), (271), (475), (478), (481), (484),
% 173.35/26.45 | | | | | | | | | | | | | | | | | (534), (588), (599), (601), (603), (635), (636),
% 173.35/26.45 | | | | | | | | | | | | | | | | | (637), (638), (642), (646), (650), (666), (682),
% 173.35/26.45 | | | | | | | | | | | | | | | | | (698), (714), (715), (731), (732), (748), (749),
% 173.35/26.45 | | | | | | | | | | | | | | | | | (765), (851), (5858), (7814), (7816) are
% 173.35/26.45 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #502.
% 173.35/26.45 | | | | | | | | | | | | | | | | |
% 173.35/26.45 | | | | | | | | | | | | | | | | Case 2:
% 173.35/26.45 | | | | | | | | | | | | | | | | |
% 173.35/26.45 | | | | | | | | | | | | | | | | | (7817) all_40_2 = e1
% 173.35/26.45 | | | | | | | | | | | | | | | | | (7818) op(e3, e1) = all_40_1 & $i(all_40_1) & ( ~
% 173.35/26.45 | | | | | | | | | | | | | | | | | (all_40_1 = e0) | ( ~ (all_40_0 = e2) & op(e0,
% 173.35/26.45 | | | | | | | | | | | | | | | | | e3) = all_40_0 & $i(all_40_0)))
% 173.35/26.45 | | | | | | | | | | | | | | | | |
% 173.35/26.45 | | | | | | | | | | | | | | | | | ALPHA: (7818) implies:
% 173.35/26.45 | | | | | | | | | | | | | | | | | (7819) op(e3, e1) = all_40_1
% 173.35/26.45 | | | | | | | | | | | | | | | | |
% 173.35/26.45 | | | | | | | | | | | | | | | | | COMBINE_EQS: (553), (7817) imply:
% 173.35/26.45 | | | | | | | | | | | | | | | | | (7820) all_14_2 = e1
% 173.35/26.45 | | | | | | | | | | | | | | | | |
% 173.35/26.45 | | | | | | | | | | | | | | | | | SIMP: (7820) implies:
% 173.35/26.45 | | | | | | | | | | | | | | | | | (7821) all_14_2 = e1
% 173.35/26.45 | | | | | | | | | | | | | | | | |
% 173.35/26.45 | | | | | | | | | | | | | | | | | COMBINE_EQS: (466), (7821) imply:
% 173.35/26.45 | | | | | | | | | | | | | | | | | (7822) all_48_2 = e1
% 173.35/26.45 | | | | | | | | | | | | | | | | |
% 173.35/26.45 | | | | | | | | | | | | | | | | | REDUCE: (593), (7821) imply:
% 173.35/26.45 | | | | | | | | | | | | | | | | | (7823) ~ (all_61_1 = e1)
% 173.35/26.45 | | | | | | | | | | | | | | | | |
% 173.35/26.45 | | | | | | | | | | | | | | | | | REDUCE: (597), (7821) imply:
% 173.35/26.45 | | | | | | | | | | | | | | | | | (7824) ~ (all_61_3 = e1)
% 173.35/26.45 | | | | | | | | | | | | | | | | |
% 173.35/26.45 | | | | | | | | | | | | | | | | | REDUCE: (601), (7821) imply:
% 173.35/26.45 | | | | | | | | | | | | | | | | | (7825) ~ (all_61_8 = e1)
% 173.35/26.45 | | | | | | | | | | | | | | | | |
% 173.35/26.45 | | | | | | | | | | | | | | | | | REDUCE: (634), (7821) imply:
% 173.35/26.45 | | | | | | | | | | | | | | | | | (7826) op(e1, e3) = all_65_0
% 173.35/26.45 | | | | | | | | | | | | | | | | |
% 173.35/26.45 | | | | | | | | | | | | | | | | | REDUCE: (636), (7821) imply:
% 173.35/26.45 | | | | | | | | | | | | | | | | | (7827) op(e1, e1) = all_65_2
% 173.35/26.45 | | | | | | | | | | | | | | | | |
% 173.35/26.45 | | | | | | | | | | | | | | | | | REDUCE: (637), (7821) imply:
% 173.35/26.45 | | | | | | | | | | | | | | | | | (7828) op(e1, e0) = all_65_3
% 173.35/26.45 | | | | | | | | | | | | | | | | |
% 173.35/26.45 | | | | | | | | | | | | | | | | | REDUCE: (698), (7821) imply:
% 173.35/26.45 | | | | | | | | | | | | | | | | | (7829) op(e3, e1) = all_65_0
% 173.35/26.45 | | | | | | | | | | | | | | | | |
% 173.35/26.45 | | | | | | | | | | | | | | | | | REDUCE: (715), (7821) imply:
% 173.35/26.45 | | | | | | | | | | | | | | | | | (7830) op(e2, e1) = all_65_16
% 173.35/26.45 | | | | | | | | | | | | | | | | |
% 173.35/26.45 | | | | | | | | | | | | | | | | | REDUCE: (732), (7821) imply:
% 173.35/26.45 | | | | | | | | | | | | | | | | | (7831) op(e1, e1) = all_65_32
% 173.35/26.45 | | | | | | | | | | | | | | | | |
% 173.35/26.45 | | | | | | | | | | | | | | | | | REDUCE: (749), (7821) imply:
% 173.35/26.45 | | | | | | | | | | | | | | | | | (7832) op(e0, e1) = all_65_49
% 173.35/26.45 | | | | | | | | | | | | | | | | |
% 173.35/26.45 | | | | | | | | | | | | | | | | | BETA: splitting (119) gives:
% 173.35/26.45 | | | | | | | | | | | | | | | | |
% 173.35/26.45 | | | | | | | | | | | | | | | | | Case 1:
% 173.35/26.45 | | | | | | | | | | | | | | | | | |
% 173.35/26.45 | | | | | | | | | | | | | | | | | | (7833) ~ (all_48_2 = e1)
% 173.35/26.45 | | | | | | | | | | | | | | | | | |
% 173.35/26.45 | | | | | | | | | | | | | | | | | | REDUCE: (7822), (7833) imply:
% 173.35/26.45 | | | | | | | | | | | | | | | | | | (7834) $false
% 173.35/26.45 | | | | | | | | | | | | | | | | | |
% 173.35/26.45 | | | | | | | | | | | | | | | | | | CLOSE: (7834) is inconsistent.
% 173.35/26.45 | | | | | | | | | | | | | | | | | |
% 173.35/26.45 | | | | | | | | | | | | | | | | | Case 2:
% 173.35/26.45 | | | | | | | | | | | | | | | | | |
% 173.35/26.45 | | | | | | | | | | | | | | | | | | (7835) op(e3, e1) = all_48_1 & $i(all_48_1) & ( ~
% 173.35/26.45 | | | | | | | | | | | | | | | | | | (all_48_1 = e2) | ( ~ (all_48_0 = e0) & op(e2,
% 173.35/26.45 | | | | | | | | | | | | | | | | | | e3) = all_48_0 & $i(all_48_0)))
% 173.35/26.45 | | | | | | | | | | | | | | | | | |
% 173.35/26.45 | | | | | | | | | | | | | | | | | | ALPHA: (7835) implies:
% 173.35/26.45 | | | | | | | | | | | | | | | | | | (7836) op(e3, e1) = all_48_1
% 173.35/26.45 | | | | | | | | | | | | | | | | | |
% 173.35/26.45 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_11, all_65_49, e1,
% 173.35/26.45 | | | | | | | | | | | | | | | | | | e0, simplifying with (224), (7832) gives:
% 173.35/26.45 | | | | | | | | | | | | | | | | | | (7837) all_65_49 = all_61_11
% 173.35/26.45 | | | | | | | | | | | | | | | | | |
% 173.35/26.45 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_14, all_65_3, e0,
% 173.35/26.45 | | | | | | | | | | | | | | | | | | e1, simplifying with (227), (7828) gives:
% 173.35/26.45 | | | | | | | | | | | | | | | | | | (7838) all_65_3 = all_61_14
% 173.35/26.45 | | | | | | | | | | | | | | | | | |
% 173.35/26.45 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e2, all_65_2, e1, e1,
% 173.35/26.45 | | | | | | | | | | | | | | | | | | simplifying with (5784), (7827) gives:
% 173.35/26.45 | | | | | | | | | | | | | | | | | | (7839) all_65_2 = e2
% 173.35/26.45 | | | | | | | | | | | | | | | | | |
% 173.35/26.45 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_32, all_65_2, e1,
% 173.35/26.45 | | | | | | | | | | | | | | | | | | e1, simplifying with (7827), (7831) gives:
% 173.35/26.45 | | | | | | | | | | | | | | | | | | (7840) all_65_2 = all_65_32
% 173.35/26.45 | | | | | | | | | | | | | | | | | |
% 173.35/26.45 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_2, all_65_0, e3,
% 173.35/26.45 | | | | | | | | | | | | | | | | | | e1, simplifying with (230), (7826) gives:
% 173.35/26.45 | | | | | | | | | | | | | | | | | | (7841) all_65_0 = all_61_2
% 173.35/26.45 | | | | | | | | | | | | | | | | | |
% 173.35/26.45 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_10_1, all_65_16, e1,
% 173.35/26.45 | | | | | | | | | | | | | | | | | | e2, simplifying with (5838), (7830) gives:
% 173.35/26.45 | | | | | | | | | | | | | | | | | | (7842) all_65_16 = all_10_1
% 173.35/26.45 | | | | | | | | | | | | | | | | | |
% 173.35/26.45 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_8, all_48_1, e1,
% 173.35/26.45 | | | | | | | | | | | | | | | | | | e3, simplifying with (236), (7836) gives:
% 173.35/26.45 | | | | | | | | | | | | | | | | | | (7843) all_61_8 = all_48_1
% 173.35/26.45 | | | | | | | | | | | | | | | | | |
% 173.35/26.45 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_8, all_65_0, e1,
% 173.35/26.45 | | | | | | | | | | | | | | | | | | e3, simplifying with (236), (7829) gives:
% 173.35/26.45 | | | | | | | | | | | | | | | | | | (7844) all_65_0 = all_61_8
% 173.35/26.45 | | | | | | | | | | | | | | | | | |
% 173.35/26.45 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_40_1, all_65_0, e1,
% 173.35/26.45 | | | | | | | | | | | | | | | | | | e3, simplifying with (7819), (7829) gives:
% 173.35/26.45 | | | | | | | | | | | | | | | | | | (7845) all_65_0 = all_40_1
% 173.35/26.45 | | | | | | | | | | | | | | | | | |
% 173.35/26.45 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7841), (7845) imply:
% 173.35/26.45 | | | | | | | | | | | | | | | | | | (7846) all_61_2 = all_40_1
% 173.35/26.45 | | | | | | | | | | | | | | | | | |
% 173.35/26.45 | | | | | | | | | | | | | | | | | | SIMP: (7846) implies:
% 173.35/26.45 | | | | | | | | | | | | | | | | | | (7847) all_61_2 = all_40_1
% 173.35/26.45 | | | | | | | | | | | | | | | | | |
% 173.35/26.45 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7844), (7845) imply:
% 173.35/26.45 | | | | | | | | | | | | | | | | | | (7848) all_61_8 = all_40_1
% 173.35/26.45 | | | | | | | | | | | | | | | | | |
% 173.35/26.45 | | | | | | | | | | | | | | | | | | SIMP: (7848) implies:
% 173.35/26.45 | | | | | | | | | | | | | | | | | | (7849) all_61_8 = all_40_1
% 173.35/26.45 | | | | | | | | | | | | | | | | | |
% 173.35/26.45 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7839), (7840) imply:
% 173.35/26.45 | | | | | | | | | | | | | | | | | | (7850) all_65_32 = e2
% 173.35/26.45 | | | | | | | | | | | | | | | | | |
% 173.35/26.45 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7843), (7849) imply:
% 173.35/26.45 | | | | | | | | | | | | | | | | | | (7851) all_48_1 = all_40_1
% 173.35/26.45 | | | | | | | | | | | | | | | | | |
% 173.35/26.45 | | | | | | | | | | | | | | | | | | SIMP: (7851) implies:
% 173.35/26.45 | | | | | | | | | | | | | | | | | | (7852) all_48_1 = all_40_1
% 173.35/26.45 | | | | | | | | | | | | | | | | | |
% 173.35/26.45 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (489), (7849) imply:
% 173.35/26.45 | | | | | | | | | | | | | | | | | | (7853) all_63_2 = all_40_1
% 173.35/26.45 | | | | | | | | | | | | | | | | | |
% 173.35/26.45 | | | | | | | | | | | | | | | | | | REDUCE: (216), (7847) imply:
% 173.35/26.45 | | | | | | | | | | | | | | | | | | (7854) ~ (all_61_1 = all_40_1)
% 173.35/26.45 | | | | | | | | | | | | | | | | | |
% 173.35/26.45 | | | | | | | | | | | | | | | | | | REDUCE: (211), (7847) imply:
% 173.35/26.45 | | | | | | | | | | | | | | | | | | (7855) ~ (all_61_3 = all_40_1)
% 173.35/26.45 | | | | | | | | | | | | | | | | | |
% 173.35/26.45 | | | | | | | | | | | | | | | | | | SIMP: (7855) implies:
% 173.35/26.45 | | | | | | | | | | | | | | | | | | (7856) ~ (all_61_3 = all_40_1)
% 173.35/26.45 | | | | | | | | | | | | | | | | | |
% 173.35/26.45 | | | | | | | | | | | | | | | | | | REDUCE: (5773), (7849) imply:
% 173.35/26.45 | | | | | | | | | | | | | | | | | | (7857) ~ (all_40_1 = e2)
% 173.35/26.45 | | | | | | | | | | | | | | | | | |
% 173.35/26.45 | | | | | | | | | | | | | | | | | | REDUCE: (7825), (7849) imply:
% 173.35/26.45 | | | | | | | | | | | | | | | | | | (7858) ~ (all_40_1 = e1)
% 173.35/26.45 | | | | | | | | | | | | | | | | | |
% 173.35/26.45 | | | | | | | | | | | | | | | | | | REDUCE: (668), (7847) imply:
% 173.35/26.45 | | | | | | | | | | | | | | | | | | (7859) op(all_40_1, e1) = all_65_34
% 173.35/26.45 | | | | | | | | | | | | | | | | | |
% 173.35/26.45 | | | | | | | | | | | | | | | | | | REDUCE: (5828), (7849) imply:
% 173.35/26.45 | | | | | | | | | | | | | | | | | | (7860) op(all_40_1, e1) = all_61_4
% 173.35/26.45 | | | | | | | | | | | | | | | | | |
% 173.35/26.45 | | | | | | | | | | | | | | | | | | REDUCE: (5839), (7847) imply:
% 173.35/26.45 | | | | | | | | | | | | | | | | | | (7861) op(e1, all_40_1) = all_61_1
% 173.35/26.45 | | | | | | | | | | | | | | | | | |
% 173.35/26.45 | | | | | | | | | | | | | | | | | | REDUCE: (734), (7849) imply:
% 173.35/26.45 | | | | | | | | | | | | | | | | | | (7862) op(e1, all_40_1) = all_65_34
% 173.35/26.45 | | | | | | | | | | | | | | | | | |
% 173.35/26.45 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_1, all_65_34,
% 173.35/26.45 | | | | | | | | | | | | | | | | | | all_40_1, e1, simplifying with (7861), (7862)
% 173.35/26.45 | | | | | | | | | | | | | | | | | | gives:
% 173.35/26.45 | | | | | | | | | | | | | | | | | | (7863) all_65_34 = all_61_1
% 173.35/26.45 | | | | | | | | | | | | | | | | | |
% 173.35/26.45 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_4, all_65_34, e1,
% 173.35/26.45 | | | | | | | | | | | | | | | | | | all_40_1, simplifying with (7859), (7860) gives:
% 173.35/26.45 | | | | | | | | | | | | | | | | | | (7864) all_65_34 = all_61_4
% 173.35/26.45 | | | | | | | | | | | | | | | | | |
% 173.35/26.45 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7863), (7864) imply:
% 173.35/26.45 | | | | | | | | | | | | | | | | | | (7865) all_61_1 = all_61_4
% 173.35/26.45 | | | | | | | | | | | | | | | | | |
% 173.35/26.45 | | | | | | | | | | | | | | | | | | SIMP: (7865) implies:
% 173.35/26.45 | | | | | | | | | | | | | | | | | | (7866) all_61_1 = all_61_4
% 173.35/26.45 | | | | | | | | | | | | | | | | | |
% 173.35/26.45 | | | | | | | | | | | | | | | | | | REDUCE: (215), (7866) imply:
% 173.35/26.45 | | | | | | | | | | | | | | | | | | (7867) ~ (all_61_3 = all_61_4)
% 173.35/26.45 | | | | | | | | | | | | | | | | | |
% 173.35/26.45 | | | | | | | | | | | | | | | | | | SIMP: (7867) implies:
% 173.35/26.45 | | | | | | | | | | | | | | | | | | (7868) ~ (all_61_3 = all_61_4)
% 173.35/26.45 | | | | | | | | | | | | | | | | | |
% 173.35/26.45 | | | | | | | | | | | | | | | | | | REDUCE: (7854), (7866) imply:
% 173.35/26.45 | | | | | | | | | | | | | | | | | | (7869) ~ (all_61_4 = all_40_1)
% 173.35/26.45 | | | | | | | | | | | | | | | | | |
% 173.35/26.45 | | | | | | | | | | | | | | | | | | REDUCE: (7794), (7866) imply:
% 173.35/26.45 | | | | | | | | | | | | | | | | | | (7870) ~ (all_61_4 = e2)
% 173.35/26.45 | | | | | | | | | | | | | | | | | |
% 173.35/26.45 | | | | | | | | | | | | | | | | | | REDUCE: (7823), (7866) imply:
% 173.35/26.45 | | | | | | | | | | | | | | | | | | (7871) ~ (all_61_4 = e1)
% 173.35/26.45 | | | | | | | | | | | | | | | | | |
% 173.35/26.45 | | | | | | | | | | | | | | | | | | BETA: splitting (157) gives:
% 173.35/26.45 | | | | | | | | | | | | | | | | | |
% 173.35/26.45 | | | | | | | | | | | | | | | | | | Case 1:
% 173.35/26.45 | | | | | | | | | | | | | | | | | | |
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | (7872) ~ (all_58_3 = e1)
% 173.35/26.45 | | | | | | | | | | | | | | | | | | |
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | REDUCE: (475), (7872) imply:
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | (7873) ~ (all_52_3 = e1)
% 173.35/26.45 | | | | | | | | | | | | | | | | | | |
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | BETA: splitting (160) gives:
% 173.35/26.45 | | | | | | | | | | | | | | | | | | |
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | Case 1:
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | |
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | (7874) ~ (all_58_2 = e0)
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | |
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | REDUCE: (478), (7874) imply:
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | (7875) ~ (all_52_2 = e0)
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | |
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | BETA: splitting (161) gives:
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | |
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | (7876) ~ (all_58_2 = e2)
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | REDUCE: (478), (7876) imply:
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | (7877) ~ (all_52_2 = e2)
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (167) gives:
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | (7878) ~ (all_58_0 = e1)
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (484), (7878) imply:
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | (7879) ~ (all_52_0 = e1)
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (162) gives:
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | | (7880) ~ (all_58_2 = e3)
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (478), (7880) imply:
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | | (7881) ~ (all_52_2 = e3)
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (149) gives:
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | | | (7882) all_56_2 = e3
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (538), (7882) imply:
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | | | (7883) all_52_2 = e3
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7881), (7883) imply:
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | | | (7884) $false
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (7884) is inconsistent.
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | | | (7885) all_56_2 = e2 | all_56_2 = e1 | all_56_2 = e0
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7885) gives:
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | (7886) all_56_2 = e2
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (538), (7886) imply:
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | (7887) all_52_2 = e2
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7877), (7887) imply:
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | (7888) $false
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (7888) is inconsistent.
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | (7889) all_56_2 = e1 | all_56_2 = e0
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7889) gives:
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | (7890) all_56_2 = e1
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (538), (7890) imply:
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | (7891) all_52_2 = e1
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (748), (7891) imply:
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | (7892) op(e1, e1) = unit
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e2, unit, e1, e1,
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (5784), (7892) gives:
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | (7893) unit = e2
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7), (7893) imply:
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | (7894) op(e2, e0) = e0
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6), (7893) imply:
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | (7895) op(e3, e2) = e3
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_20_1, e0, e0, e2,
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (7770), (7894) gives:
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | (7896) all_20_1 = e0
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_4, e3, e2, e3,
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (237), (7895) gives:
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | (7897) all_61_4 = e3
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7868), (7897) imply:
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | (7898) ~ (all_61_3 = e3)
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7746), (7896) imply:
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | (7899) ~ (all_61_3 = e0)
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (259), (506), (7719), (7824), (7898), (7899) are
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #309.
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | (7900) all_56_2 = e0
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (538), (7900) imply:
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | (7901) all_52_2 = e0
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7875), (7901) imply:
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | (7902) $false
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (7902) is inconsistent.
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | | (7903) all_58_0 = e1
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (484), (7879), (7903) are inconsistent by
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #470.
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | (7904) all_58_0 = e1
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (484), (7904) imply:
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | (7905) all_52_0 = e1
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | SIMP: (7905) implies:
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | (7906) all_52_0 = e1
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (714), (7906) imply:
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | (7907) op(e3, e1) = unit
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_40_1, unit, e1, e3,
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | simplifying with (7819), (7907) gives:
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | (7908) all_40_1 = unit
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7853), (7908) imply:
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | (7909) all_63_2 = unit
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7856), (7908) imply:
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | (7910) ~ (all_61_3 = unit)
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7869), (7908) imply:
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | (7911) ~ (all_61_4 = unit)
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7857), (7908) imply:
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | (7912) ~ (unit = e2)
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7858), (7908) imply:
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | (7913) ~ (unit = e1)
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (269) gives:
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | | (7914) all_63_2 = e3
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7909), (7914) imply:
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | | (7915) unit = e3
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (851), (7915) imply:
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | | (7916) $false
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (7916) is inconsistent.
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | | (7917) all_63_2 = e2 | all_63_2 = e1 | all_63_2 = e0
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7917) gives:
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | | | (7918) all_63_2 = e2
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7909), (7918) imply:
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | | | (7919) unit = e2
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7912), (7919) imply:
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | | | (7920) $false
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (7920) is inconsistent.
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | | | (7921) all_63_2 = e1 | all_63_2 = e0
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7921) gives:
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | (7922) all_63_2 = e1
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7909), (7922) imply:
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | (7923) unit = e1
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7913), (7923) imply:
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | (7924) $false
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (7924) is inconsistent.
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | (7925) all_63_2 = e0
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7909), (7925) imply:
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | (7926) unit = e0
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7910), (7926) imply:
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | (7927) ~ (all_61_3 = e0)
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7911), (7926) imply:
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | (7928) ~ (all_61_4 = e0)
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (259) gives:
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | (7929) all_63_12 = e3
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (506), (7929) imply:
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | (7930) all_61_3 = e3
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7868), (7930) imply:
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | (7931) ~ (all_61_4 = e3)
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7931) implies:
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | (7932) ~ (all_61_4 = e3)
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (270), (488), (7870), (7871), (7928), (7932) are
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #418.
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | (7933) all_63_12 = e2 | all_63_12 = e1 | all_63_12 = e0
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (506), (7719), (7824), (7927), (7933) are
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #330.
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | End of split
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | (7934) all_58_2 = e2
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | (7935) all_58_1 = e1
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (50), (478), (481), (631), (731), (5838),
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | (7796), (7934), (7935) are inconsistent by
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | | sub-proof #291.
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | End of split
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | |
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | Case 2:
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | |
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | (7936) all_58_3 = e1
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | |
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (475), (7873), (7936) are inconsistent by
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | | sub-proof #460.
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | |
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | End of split
% 173.35/26.45 | | | | | | | | | | | | | | | | | | |
% 173.35/26.45 | | | | | | | | | | | | | | | | | | Case 2:
% 173.35/26.45 | | | | | | | | | | | | | | | | | | |
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | (7937) all_58_3 = e1
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | (7938) all_58_2 = e0
% 173.35/26.45 | | | | | | | | | | | | | | | | | | |
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (478), (7938) imply:
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | (7939) all_52_2 = e0
% 173.35/26.45 | | | | | | | | | | | | | | | | | | |
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | SIMP: (7939) implies:
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | (7940) all_52_2 = e0
% 173.35/26.45 | | | | | | | | | | | | | | | | | | |
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (475), (7937) imply:
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | (7941) all_52_3 = e1
% 173.35/26.45 | | | | | | | | | | | | | | | | | | |
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | REDUCE: (748), (7940) imply:
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | (7942) op(e1, e0) = unit
% 173.35/26.45 | | | | | | | | | | | | | | | | | | |
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | REDUCE: (765), (7941) imply:
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | (7943) op(e0, e1) = unit
% 173.35/26.45 | | | | | | | | | | | | | | | | | | |
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_11, unit, e1, e0,
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | simplifying with (224), (7943) gives:
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | (7944) all_61_11 = unit
% 173.35/26.45 | | | | | | | | | | | | | | | | | | |
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_14, unit, e0, e1,
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | simplifying with (227), (7942) gives:
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | (7945) all_61_14 = unit
% 173.35/26.45 | | | | | | | | | | | | | | | | | | |
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | REDUCE: (7751), (7945) imply:
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | (7946) ~ (all_20_1 = unit)
% 173.35/26.45 | | | | | | | | | | | | | | | | | | |
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | SIMP: (7946) implies:
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | (7947) ~ (all_20_1 = unit)
% 173.35/26.45 | | | | | | | | | | | | | | | | | | |
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | REDUCE: (5816), (7945) imply:
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | (7948) ~ (all_10_1 = unit)
% 173.35/26.45 | | | | | | | | | | | | | | | | | | |
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | SIMP: (7948) implies:
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | (7949) ~ (all_10_1 = unit)
% 173.35/26.45 | | | | | | | | | | | | | | | | | | |
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | REDUCE: (5776), (7945) imply:
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | (7950) ~ (unit = e2)
% 173.35/26.45 | | | | | | | | | | | | | | | | | | |
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | REDUCE: (7759), (7944) imply:
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | (7951) op(unit, e1) = all_20_1
% 173.35/26.45 | | | | | | | | | | | | | | | | | | |
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | REDUCE: (693), (7944) imply:
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | (7952) op(unit, e0) = all_65_71
% 173.35/26.45 | | | | | | | | | | | | | | | | | | |
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | REDUCE: (680), (7945) imply:
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | (7953) op(unit, e1) = all_65_46
% 173.35/26.45 | | | | | | | | | | | | | | | | | | |
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | REDUCE: (7765), (7945) imply:
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | (7954) op(unit, e0) = all_10_1
% 173.35/26.45 | | | | | | | | | | | | | | | | | | |
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e0, all_65_71, e0, unit,
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | simplifying with (7), (7952) gives:
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | (7955) all_65_71 = e0
% 173.35/26.45 | | | | | | | | | | | | | | | | | | |
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_10_1, all_65_71, e0,
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | unit, simplifying with (7952), (7954) gives:
% 173.35/26.45 | | | | | | | | | | | | | | | | | | | (7956) all_65_71 = all_10_1
% 173.35/26.45 | | | | | | | | | | | | | | | | | | |
% 173.35/26.46 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e1, all_65_46, e1, unit,
% 173.35/26.46 | | | | | | | | | | | | | | | | | | | simplifying with (8), (7953) gives:
% 173.35/26.46 | | | | | | | | | | | | | | | | | | | (7957) all_65_46 = e1
% 173.35/26.46 | | | | | | | | | | | | | | | | | | |
% 173.35/26.46 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_20_1, all_65_46, e1,
% 173.35/26.46 | | | | | | | | | | | | | | | | | | | unit, simplifying with (7951), (7953) gives:
% 173.35/26.46 | | | | | | | | | | | | | | | | | | | (7958) all_65_46 = all_20_1
% 173.35/26.46 | | | | | | | | | | | | | | | | | | |
% 173.35/26.46 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7957), (7958) imply:
% 173.35/26.46 | | | | | | | | | | | | | | | | | | | (7959) all_20_1 = e1
% 173.35/26.46 | | | | | | | | | | | | | | | | | | |
% 173.35/26.46 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7955), (7956) imply:
% 173.35/26.46 | | | | | | | | | | | | | | | | | | | (7960) all_10_1 = e0
% 173.35/26.46 | | | | | | | | | | | | | | | | | | |
% 173.35/26.46 | | | | | | | | | | | | | | | | | | | REDUCE: (7947), (7959) imply:
% 173.35/26.46 | | | | | | | | | | | | | | | | | | | (7961) ~ (unit = e1)
% 173.35/26.46 | | | | | | | | | | | | | | | | | | |
% 173.35/26.46 | | | | | | | | | | | | | | | | | | | SIMP: (7961) implies:
% 173.35/26.46 | | | | | | | | | | | | | | | | | | | (7962) ~ (unit = e1)
% 173.35/26.46 | | | | | | | | | | | | | | | | | | |
% 173.35/26.46 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (852), (7949), (7950), (7960), (7962) are
% 173.35/26.46 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #248.
% 173.35/26.46 | | | | | | | | | | | | | | | | | | |
% 173.35/26.46 | | | | | | | | | | | | | | | | | | End of split
% 173.35/26.46 | | | | | | | | | | | | | | | | | |
% 173.35/26.46 | | | | | | | | | | | | | | | | | End of split
% 173.35/26.46 | | | | | | | | | | | | | | | | |
% 173.35/26.46 | | | | | | | | | | | | | | | | End of split
% 173.35/26.46 | | | | | | | | | | | | | | | |
% 173.35/26.46 | | | | | | | | | | | | | | | Case 2:
% 173.35/26.46 | | | | | | | | | | | | | | | |
% 173.35/26.46 | | | | | | | | | | | | | | | | (7963) all_36_2 = e0
% 173.35/26.46 | | | | | | | | | | | | | | | | (7964) op(e3, e0) = all_36_1 & $i(all_36_1) & ( ~
% 173.35/26.46 | | | | | | | | | | | | | | | | (all_36_1 = e2) | ( ~ (all_36_0 = e1) & op(e2,
% 173.35/26.46 | | | | | | | | | | | | | | | | e3) = all_36_0 & $i(all_36_0)))
% 173.35/26.46 | | | | | | | | | | | | | | | |
% 173.35/26.46 | | | | | | | | | | | | | | | | ALPHA: (7964) implies:
% 173.35/26.46 | | | | | | | | | | | | | | | | (7965) op(e3, e0) = all_36_1
% 173.35/26.46 | | | | | | | | | | | | | | | |
% 173.35/26.46 | | | | | | | | | | | | | | | | COMBINE_EQS: (557), (7963) imply:
% 173.35/26.46 | | | | | | | | | | | | | | | | (7966) all_14_2 = e0
% 173.35/26.46 | | | | | | | | | | | | | | | |
% 173.35/26.46 | | | | | | | | | | | | | | | | REDUCE: (593), (7966) imply:
% 173.35/26.46 | | | | | | | | | | | | | | | | (7967) ~ (all_61_1 = e0)
% 173.35/26.46 | | | | | | | | | | | | | | | |
% 173.35/26.46 | | | | | | | | | | | | | | | | REDUCE: (601), (7966) imply:
% 173.35/26.46 | | | | | | | | | | | | | | | | (7968) ~ (all_61_8 = e0)
% 173.35/26.46 | | | | | | | | | | | | | | | |
% 173.35/26.46 | | | | | | | | | | | | | | | | REDUCE: (603), (7966) imply:
% 173.35/26.46 | | | | | | | | | | | | | | | | (7969) ~ (all_61_12 = e0)
% 173.35/26.46 | | | | | | | | | | | | | | | |
% 173.35/26.46 | | | | | | | | | | | | | | | | REDUCE: (634), (7966) imply:
% 173.35/26.46 | | | | | | | | | | | | | | | | (7970) op(e0, e3) = all_65_0
% 173.35/26.46 | | | | | | | | | | | | | | | |
% 173.35/26.46 | | | | | | | | | | | | | | | | REDUCE: (637), (7966) imply:
% 173.35/26.46 | | | | | | | | | | | | | | | | (7971) op(e0, e0) = all_65_3
% 173.35/26.46 | | | | | | | | | | | | | | | |
% 173.35/26.46 | | | | | | | | | | | | | | | | REDUCE: (698), (7966) imply:
% 173.35/26.46 | | | | | | | | | | | | | | | | (7972) op(e3, e0) = all_65_0
% 173.35/26.46 | | | | | | | | | | | | | | | |
% 173.35/26.46 | | | | | | | | | | | | | | | | REDUCE: (715), (7966) imply:
% 173.35/26.46 | | | | | | | | | | | | | | | | (7973) op(e2, e0) = all_65_16
% 173.35/26.46 | | | | | | | | | | | | | | | |
% 173.35/26.46 | | | | | | | | | | | | | | | | REDUCE: (749), (7966) imply:
% 173.35/26.46 | | | | | | | | | | | | | | | | (7974) op(e0, e0) = all_65_49
% 173.35/26.46 | | | | | | | | | | | | | | | |
% 173.35/26.46 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e2, all_65_3, e0, e0,
% 173.35/26.46 | | | | | | | | | | | | | | | | simplifying with (7730), (7971) gives:
% 173.35/26.46 | | | | | | | | | | | | | | | | (7975) all_65_3 = e2
% 173.35/26.46 | | | | | | | | | | | | | | | |
% 173.35/26.46 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_49, all_65_3, e0,
% 173.35/26.46 | | | | | | | | | | | | | | | | e0, simplifying with (7971), (7974) gives:
% 173.35/26.46 | | | | | | | | | | | | | | | | (7976) all_65_3 = all_65_49
% 173.35/26.46 | | | | | | | | | | | | | | | |
% 173.35/26.46 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_3, all_65_0, e3,
% 173.35/26.46 | | | | | | | | | | | | | | | | e0, simplifying with (226), (7970) gives:
% 173.35/26.46 | | | | | | | | | | | | | | | | (7977) all_65_0 = all_61_3
% 173.35/26.46 | | | | | | | | | | | | | | | |
% 173.35/26.46 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_20_1, all_65_16, e0,
% 173.35/26.46 | | | | | | | | | | | | | | | | e2, simplifying with (7770), (7973) gives:
% 173.35/26.46 | | | | | | | | | | | | | | | | (7978) all_65_16 = all_20_1
% 173.35/26.46 | | | | | | | | | | | | | | | |
% 173.35/26.46 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_12, all_65_0, e0,
% 173.35/26.46 | | | | | | | | | | | | | | | | e3, simplifying with (235), (7972) gives:
% 173.35/26.46 | | | | | | | | | | | | | | | | (7979) all_65_0 = all_61_12
% 173.35/26.46 | | | | | | | | | | | | | | | |
% 173.35/26.46 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_36_1, all_65_0, e0,
% 173.35/26.46 | | | | | | | | | | | | | | | | e3, simplifying with (7965), (7972) gives:
% 173.35/26.46 | | | | | | | | | | | | | | | | (7980) all_65_0 = all_36_1
% 173.35/26.46 | | | | | | | | | | | | | | | |
% 173.35/26.46 | | | | | | | | | | | | | | | | COMBINE_EQS: (7977), (7980) imply:
% 173.35/26.46 | | | | | | | | | | | | | | | | (7981) all_61_3 = all_36_1
% 173.35/26.46 | | | | | | | | | | | | | | | |
% 173.35/26.46 | | | | | | | | | | | | | | | | SIMP: (7981) implies:
% 173.35/26.46 | | | | | | | | | | | | | | | | (7982) all_61_3 = all_36_1
% 173.35/26.46 | | | | | | | | | | | | | | | |
% 173.35/26.46 | | | | | | | | | | | | | | | | COMBINE_EQS: (7979), (7980) imply:
% 173.35/26.46 | | | | | | | | | | | | | | | | (7983) all_61_12 = all_36_1
% 173.35/26.46 | | | | | | | | | | | | | | | |
% 173.35/26.46 | | | | | | | | | | | | | | | | SIMP: (7983) implies:
% 173.35/26.46 | | | | | | | | | | | | | | | | (7984) all_61_12 = all_36_1
% 173.35/26.46 | | | | | | | | | | | | | | | |
% 173.35/26.46 | | | | | | | | | | | | | | | | COMBINE_EQS: (7975), (7976) imply:
% 173.35/26.46 | | | | | | | | | | | | | | | | (7985) all_65_49 = e2
% 173.35/26.46 | | | | | | | | | | | | | | | |
% 173.35/26.46 | | | | | | | | | | | | | | | | SIMP: (7985) implies:
% 173.35/26.46 | | | | | | | | | | | | | | | | (7986) all_65_49 = e2
% 173.35/26.46 | | | | | | | | | | | | | | | |
% 173.35/26.46 | | | | | | | | | | | | | | | | COMBINE_EQS: (506), (7982) imply:
% 173.35/26.46 | | | | | | | | | | | | | | | | (7987) all_63_12 = all_36_1
% 173.35/26.46 | | | | | | | | | | | | | | | |
% 173.35/26.46 | | | | | | | | | | | | | | | | COMBINE_EQS: (491), (7984) imply:
% 173.35/26.46 | | | | | | | | | | | | | | | | (7988) all_63_3 = all_36_1
% 173.35/26.46 | | | | | | | | | | | | | | | |
% 173.35/26.46 | | | | | | | | | | | | | | | | REDUCE: (215), (7982) imply:
% 173.35/26.46 | | | | | | | | | | | | | | | | (7989) ~ (all_61_1 = all_36_1)
% 173.35/26.46 | | | | | | | | | | | | | | | |
% 173.35/26.46 | | | | | | | | | | | | | | | | REDUCE: (187), (7984) imply:
% 173.35/26.46 | | | | | | | | | | | | | | | | (7990) ~ (all_61_8 = all_36_1)
% 173.35/26.46 | | | | | | | | | | | | | | | |
% 173.35/26.46 | | | | | | | | | | | | | | | | REDUCE: (7749), (7984) imply:
% 173.35/26.46 | | | | | | | | | | | | | | | | (7991) ~ (all_36_1 = all_20_1)
% 173.35/26.46 | | | | | | | | | | | | | | | |
% 173.35/26.46 | | | | | | | | | | | | | | | | REDUCE: (7720), (7984) imply:
% 173.35/26.46 | | | | | | | | | | | | | | | | (7992) ~ (all_36_1 = e2)
% 173.35/26.46 | | | | | | | | | | | | | | | |
% 173.35/26.46 | | | | | | | | | | | | | | | | REDUCE: (7969), (7984) imply:
% 173.35/26.46 | | | | | | | | | | | | | | | | (7993) ~ (all_36_1 = e0)
% 173.35/26.46 | | | | | | | | | | | | | | | |
% 173.35/26.46 | | | | | | | | | | | | | | | | REDUCE: (682), (7982), (7986) imply:
% 173.35/26.46 | | | | | | | | | | | | | | | | (7994) op(all_36_1, e3) = e2
% 173.35/26.46 | | | | | | | | | | | | | | | |
% 173.35/26.46 | | | | | | | | | | | | | | | | REDUCE: (685), (7982) imply:
% 173.35/26.46 | | | | | | | | | | | | | | | | (7995) op(all_36_1, e0) = all_65_55
% 173.35/26.46 | | | | | | | | | | | | | | | |
% 173.35/26.46 | | | | | | | | | | | | | | | | REDUCE: (646), (7984) imply:
% 173.35/26.46 | | | | | | | | | | | | | | | | (7996) op(all_36_1, e3) = all_65_12
% 173.35/26.46 | | | | | | | | | | | | | | | |
% 173.35/26.46 | | | | | | | | | | | | | | | | REDUCE: (7760), (7984) imply:
% 173.35/26.46 | | | | | | | | | | | | | | | | (7997) op(all_36_1, e0) = all_61_4
% 173.35/26.46 | | | | | | | | | | | | | | | |
% 173.35/26.46 | | | | | | | | | | | | | | | | REDUCE: (710), (7982) imply:
% 173.35/26.46 | | | | | | | | | | | | | | | | (7998) op(e3, all_36_1) = all_65_12
% 173.35/26.46 | | | | | | | | | | | | | | | |
% 173.35/26.46 | | | | | | | | | | | | | | | | REDUCE: (7773), (7982) imply:
% 173.35/26.46 | | | | | | | | | | | | | | | | (7999) op(e0, all_36_1) = all_61_1
% 173.35/26.46 | | | | | | | | | | | | | | | |
% 173.35/26.46 | | | | | | | | | | | | | | | | REDUCE: (752), (7984) imply:
% 173.35/26.46 | | | | | | | | | | | | | | | | (8000) op(e0, all_36_1) = all_65_55
% 173.35/26.46 | | | | | | | | | | | | | | | |
% 173.35/26.46 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_1, all_65_55,
% 173.35/26.46 | | | | | | | | | | | | | | | | all_36_1, e0, simplifying with (7999), (8000)
% 173.35/26.46 | | | | | | | | | | | | | | | | gives:
% 173.35/26.46 | | | | | | | | | | | | | | | | (8001) all_65_55 = all_61_1
% 173.35/26.46 | | | | | | | | | | | | | | | |
% 173.35/26.46 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_4, all_65_55, e0,
% 173.35/26.46 | | | | | | | | | | | | | | | | all_36_1, simplifying with (7995), (7997) gives:
% 173.35/26.46 | | | | | | | | | | | | | | | | (8002) all_65_55 = all_61_4
% 173.35/26.46 | | | | | | | | | | | | | | | |
% 173.35/26.46 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e2, all_65_12, e3,
% 173.35/26.46 | | | | | | | | | | | | | | | | all_36_1, simplifying with (7994), (7996) gives:
% 173.35/26.46 | | | | | | | | | | | | | | | | (8003) all_65_12 = e2
% 173.35/26.46 | | | | | | | | | | | | | | | |
% 173.35/26.46 | | | | | | | | | | | | | | | | COMBINE_EQS: (8001), (8002) imply:
% 173.35/26.46 | | | | | | | | | | | | | | | | (8004) all_61_1 = all_61_4
% 173.35/26.46 | | | | | | | | | | | | | | | |
% 173.35/26.46 | | | | | | | | | | | | | | | | SIMP: (8004) implies:
% 173.35/26.46 | | | | | | | | | | | | | | | | (8005) all_61_1 = all_61_4
% 173.35/26.46 | | | | | | | | | | | | | | | |
% 173.35/26.46 | | | | | | | | | | | | | | | | REDUCE: (7989), (8005) imply:
% 173.35/26.46 | | | | | | | | | | | | | | | | (8006) ~ (all_61_4 = all_36_1)
% 173.35/26.46 | | | | | | | | | | | | | | | |
% 173.35/26.46 | | | | | | | | | | | | | | | | REDUCE: (7794), (8005) imply:
% 173.35/26.46 | | | | | | | | | | | | | | | | (8007) ~ (all_61_4 = e2)
% 173.35/26.46 | | | | | | | | | | | | | | | |
% 173.35/26.46 | | | | | | | | | | | | | | | | REDUCE: (7967), (8005) imply:
% 173.35/26.46 | | | | | | | | | | | | | | | | (8008) ~ (all_61_4 = e0)
% 173.35/26.46 | | | | | | | | | | | | | | | |
% 173.35/26.46 | | | | | | | | | | | | | | | | REDUCE: (7998), (8003) imply:
% 173.35/26.46 | | | | | | | | | | | | | | | | (8009) op(e3, all_36_1) = e2
% 173.35/26.46 | | | | | | | | | | | | | | | |
% 173.35/26.46 | | | | | | | | | | | | | | | | BETA: splitting (161) gives:
% 173.35/26.46 | | | | | | | | | | | | | | | |
% 173.35/26.46 | | | | | | | | | | | | | | | | Case 1:
% 173.35/26.46 | | | | | | | | | | | | | | | | |
% 173.35/26.46 | | | | | | | | | | | | | | | | | (8010) ~ (all_58_2 = e2)
% 173.35/26.46 | | | | | | | | | | | | | | | | |
% 173.35/26.46 | | | | | | | | | | | | | | | | | REDUCE: (478), (8010) imply:
% 173.35/26.46 | | | | | | | | | | | | | | | | | (8011) ~ (all_52_2 = e2)
% 173.35/26.46 | | | | | | | | | | | | | | | | |
% 173.35/26.46 | | | | | | | | | | | | | | | | | BETA: splitting (164) gives:
% 173.35/26.46 | | | | | | | | | | | | | | | | |
% 173.35/26.46 | | | | | | | | | | | | | | | | | Case 1:
% 173.35/26.46 | | | | | | | | | | | | | | | | | |
% 173.35/26.46 | | | | | | | | | | | | | | | | | | (8012) ~ (all_58_1 = e1)
% 173.35/26.46 | | | | | | | | | | | | | | | | | |
% 173.35/26.46 | | | | | | | | | | | | | | | | | | REDUCE: (481), (8012) imply:
% 173.35/26.46 | | | | | | | | | | | | | | | | | | (8013) ~ (all_52_1 = e1)
% 173.35/26.46 | | | | | | | | | | | | | | | | | |
% 173.35/26.46 | | | | | | | | | | | | | | | | | | BETA: splitting (163) gives:
% 173.35/26.46 | | | | | | | | | | | | | | | | | |
% 173.35/26.46 | | | | | | | | | | | | | | | | | | Case 1:
% 173.35/26.46 | | | | | | | | | | | | | | | | | | |
% 173.35/26.46 | | | | | | | | | | | | | | | | | | | (8014) ~ (all_58_1 = e0)
% 173.35/26.46 | | | | | | | | | | | | | | | | | | |
% 173.35/26.46 | | | | | | | | | | | | | | | | | | | REDUCE: (481), (8014) imply:
% 173.35/26.46 | | | | | | | | | | | | | | | | | | | (8015) ~ (all_52_1 = e0)
% 173.35/26.46 | | | | | | | | | | | | | | | | | | |
% 173.35/26.46 | | | | | | | | | | | | | | | | | | | BETA: splitting (168) gives:
% 173.35/26.46 | | | | | | | | | | | | | | | | | | |
% 173.35/26.46 | | | | | | | | | | | | | | | | | | | Case 1:
% 173.35/26.46 | | | | | | | | | | | | | | | | | | | |
% 173.35/26.46 | | | | | | | | | | | | | | | | | | | | (8016) ~ (all_58_0 = e2)
% 173.35/26.46 | | | | | | | | | | | | | | | | | | | |
% 173.35/26.46 | | | | | | | | | | | | | | | | | | | | REDUCE: (484), (8016) imply:
% 173.35/26.46 | | | | | | | | | | | | | | | | | | | | (8017) ~ (all_52_0 = e2)
% 173.35/26.46 | | | | | | | | | | | | | | | | | | | |
% 173.35/26.46 | | | | | | | | | | | | | | | | | | | | BETA: splitting (165) gives:
% 173.35/26.46 | | | | | | | | | | | | | | | | | | | |
% 173.35/26.46 | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.35/26.46 | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.46 | | | | | | | | | | | | | | | | | | | | | (8018) ~ (all_58_1 = e3)
% 173.35/26.46 | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.46 | | | | | | | | | | | | | | | | | | | | | REDUCE: (481), (8018) imply:
% 173.35/26.46 | | | | | | | | | | | | | | | | | | | | | (8019) ~ (all_52_1 = e3)
% 173.35/26.46 | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.46 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (150) gives:
% 173.35/26.46 | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.46 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.35/26.46 | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.46 | | | | | | | | | | | | | | | | | | | | | | (8020) all_56_1 = e3
% 173.35/26.46 | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.46 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (536), (8019), (8020) are inconsistent by
% 173.35/26.46 | | | | | | | | | | | | | | | | | | | | | | sub-proof #455.
% 173.35/26.46 | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.46 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.35/26.46 | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.46 | | | | | | | | | | | | | | | | | | | | | | (8021) all_56_1 = e2 | all_56_1 = e1 | all_56_1 = e0
% 173.35/26.46 | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.46 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8021) gives:
% 173.35/26.46 | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.46 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.35/26.46 | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.46 | | | | | | | | | | | | | | | | | | | | | | | (8022) all_56_1 = e2
% 173.35/26.46 | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.46 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (536), (8022) imply:
% 173.35/26.46 | | | | | | | | | | | | | | | | | | | | | | | (8023) all_52_1 = e2
% 173.35/26.46 | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.46 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8023) implies:
% 173.35/26.46 | | | | | | | | | | | | | | | | | | | | | | | (8024) all_52_1 = e2
% 173.35/26.46 | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.46 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (731), (8024) imply:
% 173.35/26.46 | | | | | | | | | | | | | | | | | | | | | | | (8025) op(e2, e2) = unit
% 173.35/26.46 | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.46 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e2, unit, e2, e2,
% 173.35/26.46 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (7802), (8025) gives:
% 173.35/26.46 | | | | | | | | | | | | | | | | | | | | | | | (8026) unit = e2
% 173.35/26.46 | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.46 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7), (8026) imply:
% 173.35/26.46 | | | | | | | | | | | | | | | | | | | | | | | (8027) op(e2, e0) = e0
% 173.35/26.46 | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.46 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6), (8026) imply:
% 173.35/26.46 | | | | | | | | | | | | | | | | | | | | | | | (8028) op(e3, e2) = e3
% 173.35/26.46 | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.46 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_20_1, e0, e0, e2,
% 173.35/26.46 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (7770), (8027) gives:
% 173.35/26.46 | | | | | | | | | | | | | | | | | | | | | | | (8029) all_20_1 = e0
% 173.35/26.46 | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.46 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_4, e3, e2, e3,
% 173.35/26.46 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (237), (8028) gives:
% 173.35/26.46 | | | | | | | | | | | | | | | | | | | | | | | (8030) all_61_4 = e3
% 173.35/26.46 | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.46 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (201), (8030) imply:
% 173.35/26.46 | | | | | | | | | | | | | | | | | | | | | | | (8031) ~ (all_61_8 = e3)
% 173.35/26.46 | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.46 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8031) implies:
% 173.35/26.46 | | | | | | | | | | | | | | | | | | | | | | | (8032) ~ (all_61_8 = e3)
% 173.35/26.46 | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.46 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8006), (8030) imply:
% 173.35/26.46 | | | | | | | | | | | | | | | | | | | | | | | (8033) ~ (all_36_1 = e3)
% 173.35/26.46 | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.46 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8033) implies:
% 173.35/26.46 | | | | | | | | | | | | | | | | | | | | | | | (8034) ~ (all_36_1 = e3)
% 173.35/26.46 | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.46 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (259), (269), (489), (5773), (7968), (7987),
% 173.35/26.46 | | | | | | | | | | | | | | | | | | | | | | | (7990), (7992), (7993), (8032), (8034) are
% 173.35/26.46 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #247.
% 173.35/26.46 | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.46 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.35/26.46 | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.46 | | | | | | | | | | | | | | | | | | | | | | | (8035) all_56_1 = e1 | all_56_1 = e0
% 173.35/26.46 | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.46 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (536), (8013), (8015), (8035) are inconsistent by
% 173.35/26.46 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #454.
% 173.35/26.46 | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.46 | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.35/26.46 | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.46 | | | | | | | | | | | | | | | | | | | | | End of split
% 173.35/26.46 | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.46 | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.35/26.46 | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.46 | | | | | | | | | | | | | | | | | | | | | (8036) all_58_0 = e2
% 173.35/26.46 | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.46 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (484), (8017), (8036) are inconsistent by
% 173.35/26.46 | | | | | | | | | | | | | | | | | | | | | sub-proof #356.
% 173.35/26.46 | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.46 | | | | | | | | | | | | | | | | | | | | End of split
% 173.35/26.46 | | | | | | | | | | | | | | | | | | | |
% 173.35/26.46 | | | | | | | | | | | | | | | | | | | Case 2:
% 173.35/26.46 | | | | | | | | | | | | | | | | | | | |
% 173.35/26.46 | | | | | | | | | | | | | | | | | | | | (8037) all_58_0 = e2
% 173.35/26.46 | | | | | | | | | | | | | | | | | | | |
% 173.35/26.46 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (484), (8037) imply:
% 173.35/26.46 | | | | | | | | | | | | | | | | | | | | (8038) all_52_0 = e2
% 173.35/26.46 | | | | | | | | | | | | | | | | | | | |
% 173.35/26.46 | | | | | | | | | | | | | | | | | | | | SIMP: (8038) implies:
% 173.35/26.46 | | | | | | | | | | | | | | | | | | | | (8039) all_52_0 = e2
% 173.35/26.46 | | | | | | | | | | | | | | | | | | | |
% 173.35/26.46 | | | | | | | | | | | | | | | | | | | | REDUCE: (714), (8039) imply:
% 173.35/26.46 | | | | | | | | | | | | | | | | | | | | (8040) op(e3, e2) = unit
% 173.35/26.46 | | | | | | | | | | | | | | | | | | | |
% 173.35/26.46 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_4, unit, e2, e3,
% 173.35/26.46 | | | | | | | | | | | | | | | | | | | | simplifying with (237), (8040) gives:
% 173.35/26.46 | | | | | | | | | | | | | | | | | | | | (8041) all_61_4 = unit
% 173.35/26.46 | | | | | | | | | | | | | | | | | | | |
% 173.35/26.46 | | | | | | | | | | | | | | | | | | | | REDUCE: (8006), (8041) imply:
% 173.35/26.46 | | | | | | | | | | | | | | | | | | | | (8042) ~ (all_36_1 = unit)
% 173.35/26.46 | | | | | | | | | | | | | | | | | | | |
% 173.35/26.46 | | | | | | | | | | | | | | | | | | | | SIMP: (8042) implies:
% 173.35/26.46 | | | | | | | | | | | | | | | | | | | | (8043) ~ (all_36_1 = unit)
% 173.35/26.46 | | | | | | | | | | | | | | | | | | | |
% 173.35/26.46 | | | | | | | | | | | | | | | | | | | | REDUCE: (8007), (8041) imply:
% 173.35/26.46 | | | | | | | | | | | | | | | | | | | | (8044) ~ (unit = e2)
% 173.35/26.46 | | | | | | | | | | | | | | | | | | | |
% 173.35/26.46 | | | | | | | | | | | | | | | | | | | | REDUCE: (8008), (8041) imply:
% 173.35/26.46 | | | | | | | | | | | | | | | | | | | | (8045) ~ (unit = e0)
% 173.35/26.46 | | | | | | | | | | | | | | | | | | | |
% 173.35/26.46 | | | | | | | | | | | | | | | | | | | | BETA: splitting (852) gives:
% 173.35/26.46 | | | | | | | | | | | | | | | | | | | |
% 173.35/26.46 | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.35/26.46 | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.46 | | | | | | | | | | | | | | | | | | | | | (8046) unit = e2
% 173.35/26.46 | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.46 | | | | | | | | | | | | | | | | | | | | | REDUCE: (8044), (8046) imply:
% 173.35/26.46 | | | | | | | | | | | | | | | | | | | | | (8047) $false
% 173.35/26.46 | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.46 | | | | | | | | | | | | | | | | | | | | | CLOSE: (8047) is inconsistent.
% 173.35/26.46 | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.46 | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.35/26.46 | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.46 | | | | | | | | | | | | | | | | | | | | | (8048) unit = e1 | unit = e0
% 173.35/26.46 | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.46 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8048) gives:
% 173.35/26.46 | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.46 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.35/26.46 | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.46 | | | | | | | | | | | | | | | | | | | | | | (8049) unit = e1
% 173.35/26.46 | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.46 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8043), (8049) imply:
% 173.35/26.46 | | | | | | | | | | | | | | | | | | | | | | (8050) ~ (all_36_1 = e1)
% 173.35/26.46 | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.46 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (268) gives:
% 173.35/26.46 | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.46 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.35/26.46 | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.46 | | | | | | | | | | | | | | | | | | | | | | | (8051) all_63_3 = e3
% 173.35/26.46 | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.46 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7988), (8051) imply:
% 173.35/26.46 | | | | | | | | | | | | | | | | | | | | | | | (8052) all_36_1 = e3
% 173.35/26.46 | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.46 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8009), (8052) imply:
% 173.35/26.46 | | | | | | | | | | | | | | | | | | | | | | | (8053) op(e3, e3) = e2
% 173.35/26.46 | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.46 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (50), (7805), (7806), (8053) are inconsistent by
% 173.35/26.46 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #346.
% 173.35/26.46 | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.46 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.35/26.46 | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.46 | | | | | | | | | | | | | | | | | | | | | | | (8054) all_63_3 = e2 | all_63_3 = e1 | all_63_3 = e0
% 173.35/26.46 | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.46 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7988), (7992), (7993), (8050), (8054) are
% 173.35/26.46 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #447.
% 173.35/26.46 | | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.46 | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.35/26.46 | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.46 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.35/26.46 | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.46 | | | | | | | | | | | | | | | | | | | | | | (8055) ~ (unit = e1)
% 173.35/26.46 | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.46 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8045), (8048), (8055) are inconsistent by
% 173.35/26.46 | | | | | | | | | | | | | | | | | | | | | | sub-proof #419.
% 173.35/26.46 | | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.46 | | | | | | | | | | | | | | | | | | | | | End of split
% 173.35/26.46 | | | | | | | | | | | | | | | | | | | | |
% 173.35/26.46 | | | | | | | | | | | | | | | | | | | | End of split
% 173.35/26.46 | | | | | | | | | | | | | | | | | | | |
% 173.35/26.46 | | | | | | | | | | | | | | | | | | | End of split
% 173.35/26.46 | | | | | | | | | | | | | | | | | | |
% 173.35/26.46 | | | | | | | | | | | | | | | | | | Case 2:
% 173.35/26.46 | | | | | | | | | | | | | | | | | | |
% 173.35/26.46 | | | | | | | | | | | | | | | | | | | (8056) all_58_3 = e2
% 173.35/26.46 | | | | | | | | | | | | | | | | | | | (8057) all_58_1 = e0
% 173.35/26.46 | | | | | | | | | | | | | | | | | | |
% 173.35/26.46 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (50), (475), (481), (632), (731), (7770),
% 173.35/26.46 | | | | | | | | | | | | | | | | | | | (7795), (8056), (8057) are inconsistent by
% 173.35/26.46 | | | | | | | | | | | | | | | | | | | sub-proof #378.
% 173.35/26.46 | | | | | | | | | | | | | | | | | | |
% 173.35/26.46 | | | | | | | | | | | | | | | | | | End of split
% 173.35/26.46 | | | | | | | | | | | | | | | | | |
% 173.35/26.46 | | | | | | | | | | | | | | | | | Case 2:
% 173.35/26.46 | | | | | | | | | | | | | | | | | |
% 173.35/26.46 | | | | | | | | | | | | | | | | | | (8058) all_58_2 = e2
% 173.35/26.46 | | | | | | | | | | | | | | | | | |
% 173.35/26.46 | | | | | | | | | | | | | | | | | | REF_CLOSE: (478), (8011), (8058) are inconsistent by
% 173.35/26.46 | | | | | | | | | | | | | | | | | | sub-proof #433.
% 173.35/26.46 | | | | | | | | | | | | | | | | | |
% 173.35/26.46 | | | | | | | | | | | | | | | | | End of split
% 173.35/26.46 | | | | | | | | | | | | | | | | |
% 173.35/26.46 | | | | | | | | | | | | | | | | Case 2:
% 173.35/26.46 | | | | | | | | | | | | | | | | |
% 173.35/26.46 | | | | | | | | | | | | | | | | | (8059) all_58_2 = e2
% 173.35/26.46 | | | | | | | | | | | | | | | | | (8060) all_58_1 = e1
% 173.35/26.46 | | | | | | | | | | | | | | | | |
% 173.35/26.46 | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (50), (478), (481), (631), (731), (5838),
% 173.35/26.46 | | | | | | | | | | | | | | | | | (7796), (8059), (8060) are inconsistent by
% 173.35/26.46 | | | | | | | | | | | | | | | | | sub-proof #291.
% 173.35/26.46 | | | | | | | | | | | | | | | | |
% 173.35/26.46 | | | | | | | | | | | | | | | | End of split
% 173.35/26.46 | | | | | | | | | | | | | | | |
% 173.35/26.46 | | | | | | | | | | | | | | | End of split
% 173.35/26.46 | | | | | | | | | | | | | | |
% 173.35/26.46 | | | | | | | | | | | | | | Case 2:
% 173.35/26.46 | | | | | | | | | | | | | | |
% 173.35/26.46 | | | | | | | | | | | | | | | (8061) ~ (all_60_1 = e2) & op(e2, e2) = all_60_1 &
% 173.35/26.46 | | | | | | | | | | | | | | | $i(all_60_1)
% 173.35/26.46 | | | | | | | | | | | | | | |
% 173.35/26.46 | | | | | | | | | | | | | | | ALPHA: (8061) implies:
% 173.35/26.46 | | | | | | | | | | | | | | | (8062) ~ (all_60_1 = e2)
% 173.35/26.46 | | | | | | | | | | | | | | | (8063) op(e2, e2) = all_60_1
% 173.35/26.46 | | | | | | | | | | | | | | |
% 173.35/26.46 | | | | | | | | | | | | | | | REF_CLOSE: (50), (7801), (7802), (8062), (8063) are
% 173.35/26.46 | | | | | | | | | | | | | | | inconsistent by sub-proof #345.
% 173.35/26.46 | | | | | | | | | | | | | | |
% 173.35/26.46 | | | | | | | | | | | | | | End of split
% 173.35/26.46 | | | | | | | | | | | | | |
% 173.35/26.46 | | | | | | | | | | | | | Case 2:
% 173.35/26.46 | | | | | | | | | | | | | |
% 173.35/26.46 | | | | | | | | | | | | | | (8064) ( ~ (all_60_2 = e2) & op(e1, e1) = all_60_2 &
% 173.35/26.46 | | | | | | | | | | | | | | $i(all_60_2)) | ( ~ (all_60_3 = e2) & op(e0, e0)
% 173.35/26.46 | | | | | | | | | | | | | | = all_60_3 & $i(all_60_3))
% 173.35/26.46 | | | | | | | | | | | | | |
% 173.35/26.46 | | | | | | | | | | | | | | REF_CLOSE: (50), (5784), (7730), (8064) are inconsistent by
% 173.35/26.46 | | | | | | | | | | | | | | sub-proof #246.
% 173.35/26.46 | | | | | | | | | | | | | |
% 173.35/26.46 | | | | | | | | | | | | | End of split
% 173.35/26.46 | | | | | | | | | | | | |
% 173.35/26.47 | | | | | | | | | | | | Case 2:
% 173.35/26.47 | | | | | | | | | | | | |
% 173.35/26.47 | | | | | | | | | | | | | (8065) all_63_5 = e1 | all_63_5 = e0
% 173.35/26.47 | | | | | | | | | | | | |
% 173.35/26.47 | | | | | | | | | | | | | REF_CLOSE: (587), (5857), (7787), (8065) are inconsistent by
% 173.35/26.47 | | | | | | | | | | | | | sub-proof #524.
% 173.35/26.47 | | | | | | | | | | | | |
% 173.35/26.47 | | | | | | | | | | | | End of split
% 173.35/26.47 | | | | | | | | | | | |
% 173.35/26.47 | | | | | | | | | | | End of split
% 173.35/26.47 | | | | | | | | | | |
% 173.35/26.47 | | | | | | | | | | Case 2:
% 173.35/26.47 | | | | | | | | | | |
% 173.35/26.47 | | | | | | | | | | | (8066) all_22_2 = e0
% 173.35/26.47 | | | | | | | | | | | (8067) op(e2, e0) = all_22_1 & $i(all_22_1) & ( ~
% 173.35/26.47 | | | | | | | | | | | (all_22_1 = e1) | ( ~ (all_22_0 = e3) & op(e1,
% 173.35/26.47 | | | | | | | | | | | e2) = all_22_0 & $i(all_22_0)))
% 173.35/26.47 | | | | | | | | | | |
% 173.35/26.47 | | | | | | | | | | | ALPHA: (8067) implies:
% 173.35/26.47 | | | | | | | | | | | (8068) op(e2, e0) = all_22_1
% 173.35/26.47 | | | | | | | | | | |
% 173.35/26.47 | | | | | | | | | | | COMBINE_EQS: (449), (8066) imply:
% 173.35/26.47 | | | | | | | | | | | (8069) all_6_2 = e0
% 173.35/26.47 | | | | | | | | | | |
% 173.35/26.47 | | | | | | | | | | | SIMP: (8069) implies:
% 173.35/26.47 | | | | | | | | | | | (8070) all_6_2 = e0
% 173.35/26.47 | | | | | | | | | | |
% 173.35/26.47 | | | | | | | | | | | COMBINE_EQS: (580), (8070) imply:
% 173.35/26.47 | | | | | | | | | | | (8071) all_38_2 = e0
% 173.35/26.47 | | | | | | | | | | |
% 173.35/26.47 | | | | | | | | | | | REDUCE: (7753), (8070) imply:
% 173.35/26.47 | | | | | | | | | | | (8072) ~ (all_20_1 = e0)
% 173.35/26.47 | | | | | | | | | | |
% 173.35/26.47 | | | | | | | | | | | REDUCE: (5822), (8070) imply:
% 173.35/26.47 | | | | | | | | | | | (8073) ~ (all_10_1 = e0)
% 173.35/26.47 | | | | | | | | | | |
% 173.35/26.47 | | | | | | | | | | | REDUCE: (654), (8070) imply:
% 173.35/26.47 | | | | | | | | | | | (8074) op(e0, e3) = all_65_20
% 173.35/26.47 | | | | | | | | | | |
% 173.35/26.47 | | | | | | | | | | | REDUCE: (5853), (8070) imply:
% 173.35/26.47 | | | | | | | | | | | (8075) op(e0, e1) = all_65_37
% 173.35/26.47 | | | | | | | | | | |
% 173.35/26.47 | | | | | | | | | | | REDUCE: (703), (8070) imply:
% 173.35/26.47 | | | | | | | | | | | (8076) op(e3, e0) = all_65_5
% 173.35/26.47 | | | | | | | | | | |
% 173.35/26.47 | | | | | | | | | | | REDUCE: (720), (8070) imply:
% 173.35/26.47 | | | | | | | | | | | (8077) op(e2, e0) = all_65_21
% 173.35/26.47 | | | | | | | | | | |
% 173.35/26.47 | | | | | | | | | | | REDUCE: (55), (8070) imply:
% 173.35/26.47 | | | | | | | | | | | (8078) op(e2, e2) = e0
% 173.35/26.47 | | | | | | | | | | |
% 173.35/26.47 | | | | | | | | | | | REDUCE: (737), (8070) imply:
% 173.35/26.47 | | | | | | | | | | | (8079) op(e1, e0) = all_65_37
% 173.35/26.47 | | | | | | | | | | |
% 173.35/26.47 | | | | | | | | | | | REDUCE: (754), (8070) imply:
% 173.35/26.47 | | | | | | | | | | | (8080) op(e0, e0) = all_65_59
% 173.35/26.47 | | | | | | | | | | |
% 173.35/26.47 | | | | | | | | | | | BETA: splitting (104) gives:
% 173.35/26.47 | | | | | | | | | | |
% 173.35/26.47 | | | | | | | | | | | Case 1:
% 173.35/26.47 | | | | | | | | | | | |
% 173.35/26.47 | | | | | | | | | | | | (8081) ~ (all_38_2 = e0)
% 173.35/26.47 | | | | | | | | | | | |
% 173.35/26.47 | | | | | | | | | | | | REDUCE: (8071), (8081) imply:
% 173.35/26.47 | | | | | | | | | | | | (8082) $false
% 173.35/26.47 | | | | | | | | | | | |
% 173.35/26.47 | | | | | | | | | | | | CLOSE: (8082) is inconsistent.
% 173.35/26.47 | | | | | | | | | | | |
% 173.35/26.47 | | | | | | | | | | | Case 2:
% 173.35/26.47 | | | | | | | | | | | |
% 173.35/26.47 | | | | | | | | | | | | (8083) op(e2, e0) = all_38_1 & $i(all_38_1) & ( ~
% 173.35/26.47 | | | | | | | | | | | | (all_38_1 = e3) | ( ~ (all_38_0 = e1) & op(e3,
% 173.35/26.47 | | | | | | | | | | | | e2) = all_38_0 & $i(all_38_0)))
% 173.35/26.47 | | | | | | | | | | | |
% 173.35/26.47 | | | | | | | | | | | | ALPHA: (8083) implies:
% 173.35/26.47 | | | | | | | | | | | | (8084) op(e2, e0) = all_38_1
% 173.35/26.47 | | | | | | | | | | | | (8085) ~ (all_38_1 = e3) | ( ~ (all_38_0 = e1) & op(e3,
% 173.35/26.47 | | | | | | | | | | | | e2) = all_38_0 & $i(all_38_0))
% 173.35/26.47 | | | | | | | | | | | |
% 173.35/26.47 | | | | | | | | | | | | GROUND_INST: instantiating (50) with e2, all_65_59, e0, e0,
% 173.35/26.47 | | | | | | | | | | | | simplifying with (7730), (8080) gives:
% 173.35/26.47 | | | | | | | | | | | | (8086) all_65_59 = e2
% 173.35/26.47 | | | | | | | | | | | |
% 173.35/26.47 | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_11, all_65_37, e1,
% 173.35/26.47 | | | | | | | | | | | | e0, simplifying with (224), (8075) gives:
% 173.35/26.47 | | | | | | | | | | | | (8087) all_65_37 = all_61_11
% 173.35/26.47 | | | | | | | | | | | |
% 173.35/26.47 | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_3, all_65_20, e3,
% 173.35/26.47 | | | | | | | | | | | | e0, simplifying with (226), (8074) gives:
% 173.35/26.47 | | | | | | | | | | | | (8088) all_65_20 = all_61_3
% 173.35/26.47 | | | | | | | | | | | |
% 173.35/26.47 | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_14, all_65_37, e0,
% 173.35/26.47 | | | | | | | | | | | | e1, simplifying with (227), (8079) gives:
% 173.35/26.47 | | | | | | | | | | | | (8089) all_65_37 = all_61_14
% 173.35/26.47 | | | | | | | | | | | |
% 173.35/26.47 | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_20_1, all_38_1, e0,
% 173.35/26.47 | | | | | | | | | | | | e2, simplifying with (7770), (8084) gives:
% 173.35/26.47 | | | | | | | | | | | | (8090) all_38_1 = all_20_1
% 173.35/26.47 | | | | | | | | | | | |
% 173.35/26.47 | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_38_1, all_65_21, e0,
% 173.35/26.47 | | | | | | | | | | | | e2, simplifying with (8077), (8084) gives:
% 173.35/26.47 | | | | | | | | | | | | (8091) all_65_21 = all_38_1
% 173.35/26.47 | | | | | | | | | | | |
% 173.35/26.47 | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_22_1, all_65_21, e0,
% 173.35/26.47 | | | | | | | | | | | | e2, simplifying with (8068), (8077) gives:
% 173.35/26.47 | | | | | | | | | | | | (8092) all_65_21 = all_22_1
% 173.35/26.47 | | | | | | | | | | | |
% 173.35/26.47 | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_12, all_65_5, e0,
% 173.35/26.47 | | | | | | | | | | | | e3, simplifying with (235), (8076) gives:
% 173.35/26.47 | | | | | | | | | | | | (8093) all_65_5 = all_61_12
% 173.35/26.47 | | | | | | | | | | | |
% 173.35/26.47 | | | | | | | | | | | | COMBINE_EQS: (8091), (8092) imply:
% 173.35/26.47 | | | | | | | | | | | | (8094) all_38_1 = all_22_1
% 173.35/26.47 | | | | | | | | | | | |
% 173.35/26.47 | | | | | | | | | | | | SIMP: (8094) implies:
% 173.35/26.47 | | | | | | | | | | | | (8095) all_38_1 = all_22_1
% 173.35/26.47 | | | | | | | | | | | |
% 173.35/26.47 | | | | | | | | | | | | COMBINE_EQS: (8087), (8089) imply:
% 173.35/26.47 | | | | | | | | | | | | (8096) all_61_11 = all_61_14
% 173.35/26.47 | | | | | | | | | | | |
% 173.35/26.47 | | | | | | | | | | | | SIMP: (8096) implies:
% 173.35/26.47 | | | | | | | | | | | | (8097) all_61_11 = all_61_14
% 173.35/26.47 | | | | | | | | | | | |
% 173.35/26.47 | | | | | | | | | | | | COMBINE_EQS: (8090), (8095) imply:
% 173.35/26.47 | | | | | | | | | | | | (8098) all_22_1 = all_20_1
% 173.35/26.47 | | | | | | | | | | | |
% 173.35/26.47 | | | | | | | | | | | | COMBINE_EQS: (510), (8097) imply:
% 173.35/26.47 | | | | | | | | | | | | (8099) all_63_14 = all_61_14
% 173.35/26.47 | | | | | | | | | | | |
% 173.35/26.47 | | | | | | | | | | | | REDUCE: (206), (8097) imply:
% 173.35/26.47 | | | | | | | | | | | | (8100) ~ (all_61_3 = all_61_14)
% 173.35/26.47 | | | | | | | | | | | |
% 173.35/26.47 | | | | | | | | | | | | REDUCE: (188), (8097) imply:
% 173.35/26.47 | | | | | | | | | | | | (8101) ~ (all_61_8 = all_61_14)
% 173.35/26.47 | | | | | | | | | | | |
% 173.35/26.47 | | | | | | | | | | | | REDUCE: (639), (8093) imply:
% 173.35/26.47 | | | | | | | | | | | | (8102) op(all_61_4, e2) = all_61_12
% 173.35/26.47 | | | | | | | | | | | |
% 173.35/26.47 | | | | | | | | | | | | REDUCE: (691), (8097) imply:
% 173.35/26.47 | | | | | | | | | | | | (8103) op(all_61_14, e2) = all_65_67
% 173.35/26.47 | | | | | | | | | | | |
% 173.35/26.47 | | | | | | | | | | | | REDUCE: (693), (8097) imply:
% 173.35/26.47 | | | | | | | | | | | | (8104) op(all_61_14, e0) = all_65_71
% 173.35/26.47 | | | | | | | | | | | |
% 173.35/26.47 | | | | | | | | | | | | REDUCE: (5825), (8089) imply:
% 173.35/26.47 | | | | | | | | | | | | (8105) op(all_10_1, e2) = all_61_14
% 173.35/26.47 | | | | | | | | | | | |
% 173.35/26.47 | | | | | | | | | | | | REDUCE: (712), (8097) imply:
% 173.35/26.47 | | | | | | | | | | | | (8106) op(e3, all_61_14) = all_65_14
% 173.35/26.47 | | | | | | | | | | | |
% 173.35/26.47 | | | | | | | | | | | | REDUCE: (719), (8088) imply:
% 173.35/26.47 | | | | | | | | | | | | (8107) op(e2, all_61_1) = all_61_3
% 173.35/26.47 | | | | | | | | | | | |
% 173.35/26.47 | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_11, all_65_14,
% 173.35/26.47 | | | | | | | | | | | | all_61_14, e3, simplifying with (709), (8106)
% 173.35/26.47 | | | | | | | | | | | | gives:
% 173.35/26.47 | | | | | | | | | | | | (8108) all_65_11 = all_65_14
% 173.35/26.47 | | | | | | | | | | | |
% 173.35/26.47 | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_10_1, all_65_71, e0,
% 173.35/26.47 | | | | | | | | | | | | all_61_14, simplifying with (7765), (8104) gives:
% 173.35/26.47 | | | | | | | | | | | | (8109) all_65_71 = all_10_1
% 173.35/26.47 | | | | | | | | | | | |
% 173.35/26.47 | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_45, all_65_67, e2,
% 173.35/26.47 | | | | | | | | | | | | all_61_14, simplifying with (679), (8103) gives:
% 173.35/26.47 | | | | | | | | | | | | (8110) all_65_45 = all_65_67
% 173.35/26.47 | | | | | | | | | | | |
% 173.35/26.47 | | | | | | | | | | | | REDUCE: (7783), (8110) imply:
% 173.35/26.47 | | | | | | | | | | | | (8111) op(all_10_1, e0) = all_65_67
% 173.35/26.47 | | | | | | | | | | | |
% 173.35/26.47 | | | | | | | | | | | | REDUCE: (7771), (8110) imply:
% 173.35/26.47 | | | | | | | | | | | | (8112) op(e1, all_20_1) = all_65_67
% 173.35/26.47 | | | | | | | | | | | |
% 173.35/26.47 | | | | | | | | | | | | BETA: splitting (101) gives:
% 173.35/26.47 | | | | | | | | | | | |
% 173.35/26.47 | | | | | | | | | | | | Case 1:
% 173.35/26.47 | | | | | | | | | | | | |
% 173.35/26.47 | | | | | | | | | | | | | (8113) ~ (all_36_2 = e0)
% 173.35/26.47 | | | | | | | | | | | | |
% 173.35/26.47 | | | | | | | | | | | | | REDUCE: (557), (8113) imply:
% 173.35/26.47 | | | | | | | | | | | | | (8114) ~ (all_14_2 = e0)
% 173.35/26.47 | | | | | | | | | | | | |
% 173.35/26.47 | | | | | | | | | | | | | BETA: splitting (107) gives:
% 173.35/26.47 | | | | | | | | | | | | |
% 173.35/26.47 | | | | | | | | | | | | | Case 1:
% 173.35/26.47 | | | | | | | | | | | | | |
% 173.35/26.47 | | | | | | | | | | | | | | (8115) ~ (all_40_2 = e1)
% 173.35/26.47 | | | | | | | | | | | | | |
% 173.35/26.47 | | | | | | | | | | | | | | REDUCE: (553), (8115) imply:
% 173.35/26.47 | | | | | | | | | | | | | | (8116) ~ (all_14_2 = e1)
% 173.35/26.47 | | | | | | | | | | | | | |
% 173.35/26.47 | | | | | | | | | | | | | | REF_CLOSE: (10), (50), (67), (151), (159), (162), (165),
% 173.35/26.47 | | | | | | | | | | | | | | (166), (167), (168), (226), (230), (234), (235),
% 173.35/26.47 | | | | | | | | | | | | | | (236), (237), (271), (475), (478), (481), (484),
% 173.35/26.47 | | | | | | | | | | | | | | (534), (588), (599), (601), (603), (635), (636),
% 173.35/26.47 | | | | | | | | | | | | | | (637), (638), (642), (646), (650), (666), (682),
% 173.35/26.47 | | | | | | | | | | | | | | (698), (714), (715), (731), (732), (748), (749),
% 173.35/26.47 | | | | | | | | | | | | | | (765), (851), (5858), (8114), (8116) are
% 173.35/26.47 | | | | | | | | | | | | | | inconsistent by sub-proof #502.
% 173.35/26.47 | | | | | | | | | | | | | |
% 173.35/26.47 | | | | | | | | | | | | | Case 2:
% 173.35/26.47 | | | | | | | | | | | | | |
% 173.35/26.47 | | | | | | | | | | | | | | (8117) all_40_2 = e1
% 173.35/26.47 | | | | | | | | | | | | | | (8118) op(e3, e1) = all_40_1 & $i(all_40_1) & ( ~
% 173.35/26.47 | | | | | | | | | | | | | | (all_40_1 = e0) | ( ~ (all_40_0 = e2) & op(e0,
% 173.35/26.47 | | | | | | | | | | | | | | e3) = all_40_0 & $i(all_40_0)))
% 173.35/26.47 | | | | | | | | | | | | | |
% 173.35/26.47 | | | | | | | | | | | | | | ALPHA: (8118) implies:
% 173.35/26.47 | | | | | | | | | | | | | | (8119) op(e3, e1) = all_40_1
% 173.35/26.47 | | | | | | | | | | | | | |
% 173.35/26.47 | | | | | | | | | | | | | | COMBINE_EQS: (553), (8117) imply:
% 173.35/26.47 | | | | | | | | | | | | | | (8120) all_14_2 = e1
% 173.35/26.47 | | | | | | | | | | | | | |
% 173.35/26.47 | | | | | | | | | | | | | | REDUCE: (597), (8120) imply:
% 173.35/26.47 | | | | | | | | | | | | | | (8121) ~ (all_61_3 = e1)
% 173.35/26.47 | | | | | | | | | | | | | |
% 173.35/26.47 | | | | | | | | | | | | | | REDUCE: (601), (8120) imply:
% 173.35/26.47 | | | | | | | | | | | | | | (8122) ~ (all_61_8 = e1)
% 173.35/26.47 | | | | | | | | | | | | | |
% 173.35/26.47 | | | | | | | | | | | | | | REDUCE: (634), (8120) imply:
% 173.35/26.47 | | | | | | | | | | | | | | (8123) op(e1, e3) = all_65_0
% 173.35/26.47 | | | | | | | | | | | | | |
% 173.35/26.47 | | | | | | | | | | | | | | REDUCE: (637), (8120) imply:
% 173.35/26.47 | | | | | | | | | | | | | | (8124) op(e1, e0) = all_65_3
% 173.35/26.47 | | | | | | | | | | | | | |
% 173.35/26.47 | | | | | | | | | | | | | | REDUCE: (698), (8120) imply:
% 173.35/26.47 | | | | | | | | | | | | | | (8125) op(e3, e1) = all_65_0
% 173.35/26.47 | | | | | | | | | | | | | |
% 173.35/26.47 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_14, all_65_3, e0,
% 173.35/26.47 | | | | | | | | | | | | | | e1, simplifying with (227), (8124) gives:
% 173.35/26.47 | | | | | | | | | | | | | | (8126) all_65_3 = all_61_14
% 173.35/26.47 | | | | | | | | | | | | | |
% 173.35/26.47 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_2, all_65_0, e3,
% 173.35/26.47 | | | | | | | | | | | | | | e1, simplifying with (230), (8123) gives:
% 173.35/26.47 | | | | | | | | | | | | | | (8127) all_65_0 = all_61_2
% 173.35/26.47 | | | | | | | | | | | | | |
% 173.35/26.47 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_8, all_65_0, e1,
% 173.35/26.47 | | | | | | | | | | | | | | e3, simplifying with (236), (8125) gives:
% 173.35/26.47 | | | | | | | | | | | | | | (8128) all_65_0 = all_61_8
% 173.35/26.47 | | | | | | | | | | | | | |
% 173.35/26.47 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_40_1, all_65_0, e1,
% 173.35/26.47 | | | | | | | | | | | | | | e3, simplifying with (8119), (8125) gives:
% 173.35/26.47 | | | | | | | | | | | | | | (8129) all_65_0 = all_40_1
% 173.35/26.47 | | | | | | | | | | | | | |
% 173.35/26.47 | | | | | | | | | | | | | | COMBINE_EQS: (8127), (8129) imply:
% 173.35/26.47 | | | | | | | | | | | | | | (8130) all_61_2 = all_40_1
% 173.35/26.47 | | | | | | | | | | | | | |
% 173.35/26.47 | | | | | | | | | | | | | | SIMP: (8130) implies:
% 173.35/26.47 | | | | | | | | | | | | | | (8131) all_61_2 = all_40_1
% 173.35/26.47 | | | | | | | | | | | | | |
% 173.35/26.47 | | | | | | | | | | | | | | COMBINE_EQS: (8128), (8129) imply:
% 173.35/26.47 | | | | | | | | | | | | | | (8132) all_61_8 = all_40_1
% 173.35/26.47 | | | | | | | | | | | | | |
% 173.35/26.47 | | | | | | | | | | | | | | SIMP: (8132) implies:
% 173.35/26.47 | | | | | | | | | | | | | | (8133) all_61_8 = all_40_1
% 173.35/26.47 | | | | | | | | | | | | | |
% 173.35/26.47 | | | | | | | | | | | | | | COMBINE_EQS: (499), (8131) imply:
% 173.35/26.47 | | | | | | | | | | | | | | (8134) all_63_8 = all_40_1
% 173.35/26.47 | | | | | | | | | | | | | |
% 173.35/26.47 | | | | | | | | | | | | | | COMBINE_EQS: (489), (8133) imply:
% 173.35/26.47 | | | | | | | | | | | | | | (8135) all_63_2 = all_40_1
% 173.35/26.47 | | | | | | | | | | | | | |
% 173.35/26.47 | | | | | | | | | | | | | | REDUCE: (211), (8131) imply:
% 173.35/26.47 | | | | | | | | | | | | | | (8136) ~ (all_61_3 = all_40_1)
% 173.35/26.47 | | | | | | | | | | | | | |
% 173.35/26.47 | | | | | | | | | | | | | | SIMP: (8136) implies:
% 173.35/26.47 | | | | | | | | | | | | | | (8137) ~ (all_61_3 = all_40_1)
% 173.35/26.47 | | | | | | | | | | | | | |
% 173.35/26.47 | | | | | | | | | | | | | | REDUCE: (8101), (8133) imply:
% 173.35/26.47 | | | | | | | | | | | | | | (8138) ~ (all_61_14 = all_40_1)
% 173.35/26.47 | | | | | | | | | | | | | |
% 173.35/26.47 | | | | | | | | | | | | | | SIMP: (8138) implies:
% 173.35/26.47 | | | | | | | | | | | | | | (8139) ~ (all_61_14 = all_40_1)
% 173.35/26.47 | | | | | | | | | | | | | |
% 173.35/26.47 | | | | | | | | | | | | | | REDUCE: (5817), (8133) imply:
% 173.35/26.47 | | | | | | | | | | | | | | (8140) ~ (all_40_1 = all_10_1)
% 173.35/26.47 | | | | | | | | | | | | | |
% 173.35/26.47 | | | | | | | | | | | | | | REDUCE: (5773), (8133) imply:
% 173.35/26.47 | | | | | | | | | | | | | | (8141) ~ (all_40_1 = e2)
% 173.35/26.47 | | | | | | | | | | | | | |
% 173.35/26.47 | | | | | | | | | | | | | | REDUCE: (8122), (8133) imply:
% 173.35/26.47 | | | | | | | | | | | | | | (8142) ~ (all_40_1 = e1)
% 173.35/26.47 | | | | | | | | | | | | | |
% 173.35/26.47 | | | | | | | | | | | | | | REDUCE: (668), (8131) imply:
% 173.35/26.47 | | | | | | | | | | | | | | (8143) op(all_40_1, e1) = all_65_34
% 173.35/26.47 | | | | | | | | | | | | | |
% 173.35/26.47 | | | | | | | | | | | | | | REDUCE: (5828), (8133) imply:
% 173.35/26.47 | | | | | | | | | | | | | | (8144) op(all_40_1, e1) = all_61_4
% 173.35/26.47 | | | | | | | | | | | | | |
% 173.35/26.47 | | | | | | | | | | | | | | REDUCE: (5839), (8131) imply:
% 173.35/26.47 | | | | | | | | | | | | | | (8145) op(e1, all_40_1) = all_61_1
% 173.35/26.47 | | | | | | | | | | | | | |
% 173.35/26.47 | | | | | | | | | | | | | | REDUCE: (734), (8133) imply:
% 173.35/26.47 | | | | | | | | | | | | | | (8146) op(e1, all_40_1) = all_65_34
% 173.35/26.47 | | | | | | | | | | | | | |
% 173.35/26.47 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_1, all_65_34,
% 173.35/26.47 | | | | | | | | | | | | | | all_40_1, e1, simplifying with (8145), (8146)
% 173.35/26.47 | | | | | | | | | | | | | | gives:
% 173.35/26.47 | | | | | | | | | | | | | | (8147) all_65_34 = all_61_1
% 173.35/26.47 | | | | | | | | | | | | | |
% 173.35/26.47 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_4, all_65_34, e1,
% 173.35/26.47 | | | | | | | | | | | | | | all_40_1, simplifying with (8143), (8144) gives:
% 173.35/26.47 | | | | | | | | | | | | | | (8148) all_65_34 = all_61_4
% 173.35/26.47 | | | | | | | | | | | | | |
% 173.35/26.47 | | | | | | | | | | | | | | COMBINE_EQS: (8147), (8148) imply:
% 173.35/26.47 | | | | | | | | | | | | | | (8149) all_61_1 = all_61_4
% 173.35/26.47 | | | | | | | | | | | | | |
% 173.35/26.47 | | | | | | | | | | | | | | SIMP: (8149) implies:
% 173.35/26.47 | | | | | | | | | | | | | | (8150) all_61_1 = all_61_4
% 173.35/26.47 | | | | | | | | | | | | | |
% 173.35/26.47 | | | | | | | | | | | | | | REDUCE: (651), (8150) imply:
% 173.35/26.47 | | | | | | | | | | | | | | (8151) op(all_61_4, e2) = all_65_17
% 173.35/26.47 | | | | | | | | | | | | | |
% 173.35/26.47 | | | | | | | | | | | | | | REDUCE: (8107), (8150) imply:
% 173.35/26.47 | | | | | | | | | | | | | | (8152) op(e2, all_61_4) = all_61_3
% 173.35/26.47 | | | | | | | | | | | | | |
% 173.35/26.47 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_17, all_61_3,
% 173.35/26.47 | | | | | | | | | | | | | | all_61_4, e2, simplifying with (716), (8152)
% 173.35/26.47 | | | | | | | | | | | | | | gives:
% 173.35/26.47 | | | | | | | | | | | | | | (8153) all_65_17 = all_61_3
% 173.35/26.47 | | | | | | | | | | | | | |
% 173.35/26.47 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_12, all_65_17, e2,
% 173.35/26.47 | | | | | | | | | | | | | | all_61_4, simplifying with (8102), (8151) gives:
% 173.35/26.47 | | | | | | | | | | | | | | (8154) all_65_17 = all_61_12
% 173.35/26.47 | | | | | | | | | | | | | |
% 173.35/26.47 | | | | | | | | | | | | | | COMBINE_EQS: (8153), (8154) imply:
% 173.35/26.47 | | | | | | | | | | | | | | (8155) all_61_3 = all_61_12
% 173.35/26.47 | | | | | | | | | | | | | |
% 173.35/26.47 | | | | | | | | | | | | | | SIMP: (8155) implies:
% 173.35/26.47 | | | | | | | | | | | | | | (8156) all_61_3 = all_61_12
% 173.35/26.47 | | | | | | | | | | | | | |
% 173.35/26.47 | | | | | | | | | | | | | | REDUCE: (8137), (8156) imply:
% 173.35/26.47 | | | | | | | | | | | | | | (8157) ~ (all_61_12 = all_40_1)
% 173.35/26.47 | | | | | | | | | | | | | |
% 173.35/26.47 | | | | | | | | | | | | | | REDUCE: (8121), (8156) imply:
% 173.35/26.47 | | | | | | | | | | | | | | (8158) ~ (all_61_12 = e1)
% 173.35/26.47 | | | | | | | | | | | | | |
% 173.35/26.47 | | | | | | | | | | | | | | BETA: splitting (157) gives:
% 173.35/26.47 | | | | | | | | | | | | | |
% 173.35/26.47 | | | | | | | | | | | | | | Case 1:
% 173.35/26.47 | | | | | | | | | | | | | | |
% 173.35/26.47 | | | | | | | | | | | | | | | (8159) ~ (all_58_3 = e1)
% 173.35/26.47 | | | | | | | | | | | | | | |
% 173.35/26.47 | | | | | | | | | | | | | | | REDUCE: (475), (8159) imply:
% 173.35/26.47 | | | | | | | | | | | | | | | (8160) ~ (all_52_3 = e1)
% 173.35/26.47 | | | | | | | | | | | | | | |
% 173.35/26.47 | | | | | | | | | | | | | | | BETA: splitting (166) gives:
% 173.35/26.47 | | | | | | | | | | | | | | |
% 173.35/26.47 | | | | | | | | | | | | | | | Case 1:
% 173.35/26.47 | | | | | | | | | | | | | | | |
% 173.35/26.47 | | | | | | | | | | | | | | | | (8161) ~ (all_58_0 = e0)
% 173.35/26.47 | | | | | | | | | | | | | | | |
% 173.35/26.47 | | | | | | | | | | | | | | | | REDUCE: (484), (8161) imply:
% 173.35/26.47 | | | | | | | | | | | | | | | | (8162) ~ (all_52_0 = e0)
% 173.35/26.47 | | | | | | | | | | | | | | | |
% 173.35/26.47 | | | | | | | | | | | | | | | | BETA: splitting (159) gives:
% 173.35/26.47 | | | | | | | | | | | | | | | |
% 173.35/26.47 | | | | | | | | | | | | | | | | Case 1:
% 173.35/26.47 | | | | | | | | | | | | | | | | |
% 173.35/26.47 | | | | | | | | | | | | | | | | | (8163) ~ (all_58_3 = e3)
% 173.35/26.47 | | | | | | | | | | | | | | | | |
% 173.35/26.47 | | | | | | | | | | | | | | | | | REDUCE: (475), (8163) imply:
% 173.35/26.47 | | | | | | | | | | | | | | | | | (8164) ~ (all_52_3 = e3)
% 173.35/26.47 | | | | | | | | | | | | | | | | |
% 173.35/26.47 | | | | | | | | | | | | | | | | | BETA: splitting (158) gives:
% 173.35/26.47 | | | | | | | | | | | | | | | | |
% 173.35/26.47 | | | | | | | | | | | | | | | | | Case 1:
% 173.35/26.47 | | | | | | | | | | | | | | | | | |
% 173.35/26.47 | | | | | | | | | | | | | | | | | | (8165) ~ (all_58_3 = e2)
% 173.35/26.47 | | | | | | | | | | | | | | | | | |
% 173.35/26.47 | | | | | | | | | | | | | | | | | | REDUCE: (475), (8165) imply:
% 173.35/26.47 | | | | | | | | | | | | | | | | | | (8166) ~ (all_52_3 = e2)
% 173.35/26.47 | | | | | | | | | | | | | | | | | |
% 173.35/26.47 | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (50), (148), (539), (765), (7730), (8078),
% 173.35/26.47 | | | | | | | | | | | | | | | | | | (8160), (8164), (8166) are inconsistent by
% 173.35/26.47 | | | | | | | | | | | | | | | | | | sub-proof #374.
% 173.35/26.47 | | | | | | | | | | | | | | | | | |
% 173.35/26.47 | | | | | | | | | | | | | | | | | Case 2:
% 173.35/26.47 | | | | | | | | | | | | | | | | | |
% 173.35/26.47 | | | | | | | | | | | | | | | | | | (8167) all_58_1 = e0
% 173.35/26.47 | | | | | | | | | | | | | | | | | |
% 173.35/26.47 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (481), (8167) imply:
% 173.35/26.47 | | | | | | | | | | | | | | | | | | (8168) all_52_1 = e0
% 173.35/26.47 | | | | | | | | | | | | | | | | | |
% 173.35/26.47 | | | | | | | | | | | | | | | | | | SIMP: (8168) implies:
% 173.35/26.47 | | | | | | | | | | | | | | | | | | (8169) all_52_1 = e0
% 173.35/26.47 | | | | | | | | | | | | | | | | | |
% 173.35/26.47 | | | | | | | | | | | | | | | | | | REDUCE: (731), (8169) imply:
% 173.35/26.47 | | | | | | | | | | | | | | | | | | (8170) op(e2, e0) = unit
% 173.35/26.47 | | | | | | | | | | | | | | | | | |
% 173.35/26.47 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_20_1, unit, e0, e2,
% 173.35/26.47 | | | | | | | | | | | | | | | | | | simplifying with (7770), (8170) gives:
% 173.35/26.47 | | | | | | | | | | | | | | | | | | (8171) all_20_1 = unit
% 173.35/26.47 | | | | | | | | | | | | | | | | | |
% 173.35/26.47 | | | | | | | | | | | | | | | | | | REDUCE: (7751), (8171) imply:
% 173.35/26.47 | | | | | | | | | | | | | | | | | | (8172) ~ (all_61_14 = unit)
% 173.35/26.47 | | | | | | | | | | | | | | | | | |
% 173.35/26.47 | | | | | | | | | | | | | | | | | | REDUCE: (7752), (8171) imply:
% 173.35/26.47 | | | | | | | | | | | | | | | | | | (8173) ~ (all_10_1 = unit)
% 173.35/26.47 | | | | | | | | | | | | | | | | | |
% 173.35/26.47 | | | | | | | | | | | | | | | | | | SIMP: (8173) implies:
% 173.35/26.47 | | | | | | | | | | | | | | | | | | (8174) ~ (all_10_1 = unit)
% 173.35/26.47 | | | | | | | | | | | | | | | | | |
% 173.35/26.47 | | | | | | | | | | | | | | | | | | REDUCE: (7754), (8171) imply:
% 173.35/26.47 | | | | | | | | | | | | | | | | | | (8175) ~ (unit = e2)
% 173.35/26.47 | | | | | | | | | | | | | | | | | |
% 173.35/26.47 | | | | | | | | | | | | | | | | | | REDUCE: (8072), (8171) imply:
% 173.35/26.47 | | | | | | | | | | | | | | | | | | (8176) ~ (unit = e0)
% 173.35/26.47 | | | | | | | | | | | | | | | | | |
% 173.35/26.47 | | | | | | | | | | | | | | | | | | BETA: splitting (852) gives:
% 173.35/26.47 | | | | | | | | | | | | | | | | | |
% 173.35/26.47 | | | | | | | | | | | | | | | | | | Case 1:
% 173.35/26.47 | | | | | | | | | | | | | | | | | | |
% 173.35/26.47 | | | | | | | | | | | | | | | | | | | (8177) unit = e2
% 173.35/26.47 | | | | | | | | | | | | | | | | | | |
% 173.35/26.47 | | | | | | | | | | | | | | | | | | | REDUCE: (8175), (8177) imply:
% 173.35/26.47 | | | | | | | | | | | | | | | | | | | (8178) $false
% 173.35/26.47 | | | | | | | | | | | | | | | | | | |
% 173.35/26.47 | | | | | | | | | | | | | | | | | | | CLOSE: (8178) is inconsistent.
% 173.35/26.47 | | | | | | | | | | | | | | | | | | |
% 173.35/26.47 | | | | | | | | | | | | | | | | | | Case 2:
% 173.35/26.48 | | | | | | | | | | | | | | | | | | |
% 173.35/26.48 | | | | | | | | | | | | | | | | | | | (8179) unit = e1 | unit = e0
% 173.35/26.48 | | | | | | | | | | | | | | | | | | |
% 173.35/26.48 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (257), (265), (269), (489), (5773), (5776),
% 173.35/26.48 | | | | | | | | | | | | | | | | | | | (5809), (5816), (5823), (8073), (8099), (8101),
% 173.35/26.48 | | | | | | | | | | | | | | | | | | | (8122), (8135), (8140), (8172), (8174), (8176),
% 173.35/26.48 | | | | | | | | | | | | | | | | | | | (8179) are inconsistent by sub-proof #245.
% 173.35/26.48 | | | | | | | | | | | | | | | | | | |
% 173.35/26.48 | | | | | | | | | | | | | | | | | | End of split
% 173.35/26.48 | | | | | | | | | | | | | | | | | |
% 173.35/26.48 | | | | | | | | | | | | | | | | | End of split
% 173.35/26.48 | | | | | | | | | | | | | | | | |
% 173.35/26.48 | | | | | | | | | | | | | | | | Case 2:
% 173.35/26.48 | | | | | | | | | | | | | | | | |
% 173.35/26.48 | | | | | | | | | | | | | | | | | (8180) all_58_0 = e0
% 173.35/26.48 | | | | | | | | | | | | | | | | |
% 173.35/26.48 | | | | | | | | | | | | | | | | | REF_CLOSE: (484), (8162), (8180) are inconsistent by
% 173.35/26.48 | | | | | | | | | | | | | | | | | sub-proof #283.
% 173.35/26.48 | | | | | | | | | | | | | | | | |
% 173.35/26.48 | | | | | | | | | | | | | | | | End of split
% 173.35/26.48 | | | | | | | | | | | | | | | |
% 173.35/26.48 | | | | | | | | | | | | | | | Case 2:
% 173.35/26.48 | | | | | | | | | | | | | | | |
% 173.35/26.48 | | | | | | | | | | | | | | | | (8181) all_58_0 = e0
% 173.35/26.48 | | | | | | | | | | | | | | | |
% 173.35/26.48 | | | | | | | | | | | | | | | | COMBINE_EQS: (484), (8181) imply:
% 173.35/26.48 | | | | | | | | | | | | | | | | (8182) all_52_0 = e0
% 173.35/26.48 | | | | | | | | | | | | | | | |
% 173.35/26.48 | | | | | | | | | | | | | | | | SIMP: (8182) implies:
% 173.35/26.48 | | | | | | | | | | | | | | | | (8183) all_52_0 = e0
% 173.35/26.48 | | | | | | | | | | | | | | | |
% 173.35/26.48 | | | | | | | | | | | | | | | | REDUCE: (714), (8183) imply:
% 173.35/26.48 | | | | | | | | | | | | | | | | (8184) op(e3, e0) = unit
% 173.35/26.48 | | | | | | | | | | | | | | | |
% 173.35/26.48 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_12, unit, e0, e3,
% 173.35/26.48 | | | | | | | | | | | | | | | | simplifying with (235), (8184) gives:
% 173.35/26.48 | | | | | | | | | | | | | | | | (8185) all_61_12 = unit
% 173.35/26.48 | | | | | | | | | | | | | | | |
% 173.35/26.48 | | | | | | | | | | | | | | | | REDUCE: (179), (8185) imply:
% 173.35/26.48 | | | | | | | | | | | | | | | | (8186) ~ (all_61_14 = unit)
% 173.35/26.48 | | | | | | | | | | | | | | | |
% 173.35/26.48 | | | | | | | | | | | | | | | | SIMP: (8186) implies:
% 173.35/26.48 | | | | | | | | | | | | | | | | (8187) ~ (all_61_14 = unit)
% 173.35/26.48 | | | | | | | | | | | | | | | |
% 173.35/26.48 | | | | | | | | | | | | | | | | REDUCE: (8157), (8185) imply:
% 173.35/26.48 | | | | | | | | | | | | | | | | (8188) ~ (all_40_1 = unit)
% 173.35/26.48 | | | | | | | | | | | | | | | |
% 173.35/26.48 | | | | | | | | | | | | | | | | SIMP: (8188) implies:
% 173.35/26.48 | | | | | | | | | | | | | | | | (8189) ~ (all_40_1 = unit)
% 173.35/26.48 | | | | | | | | | | | | | | | |
% 173.35/26.48 | | | | | | | | | | | | | | | | REDUCE: (7720), (8185) imply:
% 173.35/26.48 | | | | | | | | | | | | | | | | (8190) ~ (unit = e2)
% 173.35/26.48 | | | | | | | | | | | | | | | |
% 173.35/26.48 | | | | | | | | | | | | | | | | REDUCE: (8158), (8185) imply:
% 173.35/26.48 | | | | | | | | | | | | | | | | (8191) ~ (unit = e1)
% 173.35/26.48 | | | | | | | | | | | | | | | |
% 173.35/26.48 | | | | | | | | | | | | | | | | BETA: splitting (852) gives:
% 173.35/26.48 | | | | | | | | | | | | | | | |
% 173.35/26.48 | | | | | | | | | | | | | | | | Case 1:
% 173.35/26.48 | | | | | | | | | | | | | | | | |
% 173.35/26.48 | | | | | | | | | | | | | | | | | (8192) unit = e2
% 173.35/26.48 | | | | | | | | | | | | | | | | |
% 173.35/26.48 | | | | | | | | | | | | | | | | | REDUCE: (8190), (8192) imply:
% 173.35/26.48 | | | | | | | | | | | | | | | | | (8193) $false
% 173.35/26.48 | | | | | | | | | | | | | | | | |
% 173.35/26.48 | | | | | | | | | | | | | | | | | CLOSE: (8193) is inconsistent.
% 173.35/26.48 | | | | | | | | | | | | | | | | |
% 173.35/26.48 | | | | | | | | | | | | | | | | Case 2:
% 173.35/26.48 | | | | | | | | | | | | | | | | |
% 173.35/26.48 | | | | | | | | | | | | | | | | | (8194) unit = e1 | unit = e0
% 173.35/26.48 | | | | | | | | | | | | | | | | |
% 173.35/26.48 | | | | | | | | | | | | | | | | | BETA: splitting (8194) gives:
% 173.35/26.48 | | | | | | | | | | | | | | | | |
% 173.35/26.48 | | | | | | | | | | | | | | | | | Case 1:
% 173.35/26.48 | | | | | | | | | | | | | | | | | |
% 173.35/26.48 | | | | | | | | | | | | | | | | | | (8195) unit = e1
% 173.35/26.48 | | | | | | | | | | | | | | | | | |
% 173.35/26.48 | | | | | | | | | | | | | | | | | | REDUCE: (8191), (8195) imply:
% 173.35/26.48 | | | | | | | | | | | | | | | | | | (8196) $false
% 173.35/26.48 | | | | | | | | | | | | | | | | | |
% 173.35/26.48 | | | | | | | | | | | | | | | | | | CLOSE: (8196) is inconsistent.
% 173.35/26.48 | | | | | | | | | | | | | | | | | |
% 173.35/26.48 | | | | | | | | | | | | | | | | | Case 2:
% 173.35/26.48 | | | | | | | | | | | | | | | | | |
% 173.35/26.48 | | | | | | | | | | | | | | | | | | (8197) unit = e0
% 173.35/26.48 | | | | | | | | | | | | | | | | | |
% 173.35/26.48 | | | | | | | | | | | | | | | | | | REDUCE: (8187), (8197) imply:
% 173.35/26.48 | | | | | | | | | | | | | | | | | | (8198) ~ (all_61_14 = e0)
% 173.35/26.48 | | | | | | | | | | | | | | | | | |
% 173.35/26.48 | | | | | | | | | | | | | | | | | | REDUCE: (8189), (8197) imply:
% 173.35/26.48 | | | | | | | | | | | | | | | | | | (8199) ~ (all_40_1 = e0)
% 173.35/26.48 | | | | | | | | | | | | | | | | | |
% 173.35/26.48 | | | | | | | | | | | | | | | | | | BETA: splitting (269) gives:
% 173.35/26.48 | | | | | | | | | | | | | | | | | |
% 173.35/26.48 | | | | | | | | | | | | | | | | | | Case 1:
% 173.35/26.48 | | | | | | | | | | | | | | | | | | |
% 173.35/26.48 | | | | | | | | | | | | | | | | | | | (8200) all_63_2 = e3
% 173.35/26.48 | | | | | | | | | | | | | | | | | | |
% 173.35/26.48 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8135), (8200) imply:
% 173.35/26.48 | | | | | | | | | | | | | | | | | | | (8201) all_40_1 = e3
% 173.35/26.48 | | | | | | | | | | | | | | | | | | |
% 173.35/26.48 | | | | | | | | | | | | | | | | | | | REDUCE: (8139), (8201) imply:
% 173.35/26.48 | | | | | | | | | | | | | | | | | | | (8202) ~ (all_61_14 = e3)
% 173.35/26.48 | | | | | | | | | | | | | | | | | | |
% 173.35/26.48 | | | | | | | | | | | | | | | | | | | REDUCE: (8140), (8201) imply:
% 173.35/26.48 | | | | | | | | | | | | | | | | | | | (8203) ~ (all_10_1 = e3)
% 173.35/26.48 | | | | | | | | | | | | | | | | | | |
% 173.35/26.48 | | | | | | | | | | | | | | | | | | | SIMP: (8203) implies:
% 173.35/26.48 | | | | | | | | | | | | | | | | | | | (8204) ~ (all_10_1 = e3)
% 173.35/26.48 | | | | | | | | | | | | | | | | | | |
% 173.35/26.48 | | | | | | | | | | | | | | | | | | | BETA: splitting (257) gives:
% 173.35/26.48 | | | | | | | | | | | | | | | | | | |
% 173.35/26.48 | | | | | | | | | | | | | | | | | | | Case 1:
% 173.35/26.48 | | | | | | | | | | | | | | | | | | | |
% 173.35/26.48 | | | | | | | | | | | | | | | | | | | | (8205) all_63_14 = e3
% 173.35/26.48 | | | | | | | | | | | | | | | | | | | |
% 173.35/26.48 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8099), (8205) imply:
% 173.35/26.48 | | | | | | | | | | | | | | | | | | | | (8206) all_61_14 = e3
% 173.35/26.48 | | | | | | | | | | | | | | | | | | | |
% 173.35/26.48 | | | | | | | | | | | | | | | | | | | | REDUCE: (8202), (8206) imply:
% 173.35/26.48 | | | | | | | | | | | | | | | | | | | | (8207) $false
% 173.35/26.48 | | | | | | | | | | | | | | | | | | | |
% 173.35/26.48 | | | | | | | | | | | | | | | | | | | | CLOSE: (8207) is inconsistent.
% 173.35/26.48 | | | | | | | | | | | | | | | | | | | |
% 173.35/26.48 | | | | | | | | | | | | | | | | | | | Case 2:
% 173.35/26.48 | | | | | | | | | | | | | | | | | | | |
% 173.35/26.48 | | | | | | | | | | | | | | | | | | | | (8208) all_63_14 = e2 | all_63_14 = e1 | all_63_14 = e0
% 173.35/26.48 | | | | | | | | | | | | | | | | | | | |
% 173.35/26.48 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (265), (5776), (5809), (5816), (5823), (8073),
% 173.35/26.48 | | | | | | | | | | | | | | | | | | | | (8099), (8198), (8204), (8208) are inconsistent by
% 173.35/26.48 | | | | | | | | | | | | | | | | | | | | sub-proof #271.
% 173.35/26.48 | | | | | | | | | | | | | | | | | | | |
% 173.35/26.48 | | | | | | | | | | | | | | | | | | | End of split
% 173.35/26.48 | | | | | | | | | | | | | | | | | | |
% 173.35/26.48 | | | | | | | | | | | | | | | | | | Case 2:
% 173.35/26.48 | | | | | | | | | | | | | | | | | | |
% 173.35/26.48 | | | | | | | | | | | | | | | | | | | (8209) ~ (all_63_2 = e3)
% 173.35/26.48 | | | | | | | | | | | | | | | | | | |
% 173.35/26.48 | | | | | | | | | | | | | | | | | | | REDUCE: (8135), (8209) imply:
% 173.35/26.48 | | | | | | | | | | | | | | | | | | | (8210) ~ (all_40_1 = e3)
% 173.35/26.48 | | | | | | | | | | | | | | | | | | |
% 173.35/26.48 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (263), (8134), (8141), (8142), (8199), (8210) are
% 173.35/26.48 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #432.
% 173.35/26.48 | | | | | | | | | | | | | | | | | | |
% 173.35/26.48 | | | | | | | | | | | | | | | | | | End of split
% 173.35/26.48 | | | | | | | | | | | | | | | | | |
% 173.35/26.48 | | | | | | | | | | | | | | | | | End of split
% 173.35/26.48 | | | | | | | | | | | | | | | | |
% 173.35/26.48 | | | | | | | | | | | | | | | | End of split
% 173.35/26.48 | | | | | | | | | | | | | | | |
% 173.35/26.48 | | | | | | | | | | | | | | | End of split
% 173.35/26.48 | | | | | | | | | | | | | | |
% 173.35/26.48 | | | | | | | | | | | | | | Case 2:
% 173.35/26.48 | | | | | | | | | | | | | | |
% 173.35/26.48 | | | | | | | | | | | | | | | (8211) all_58_2 = e0
% 173.35/26.48 | | | | | | | | | | | | | | |
% 173.35/26.48 | | | | | | | | | | | | | | | REF_CLOSE: (7), (50), (227), (478), (748), (7765), (8073),
% 173.35/26.48 | | | | | | | | | | | | | | | (8211) are inconsistent by sub-proof #243.
% 173.35/26.48 | | | | | | | | | | | | | | |
% 173.35/26.48 | | | | | | | | | | | | | | End of split
% 173.35/26.48 | | | | | | | | | | | | | |
% 173.35/26.48 | | | | | | | | | | | | | End of split
% 173.35/26.48 | | | | | | | | | | | | |
% 173.35/26.48 | | | | | | | | | | | | Case 2:
% 173.35/26.48 | | | | | | | | | | | | |
% 173.35/26.48 | | | | | | | | | | | | | (8212) all_36_2 = e0
% 173.35/26.48 | | | | | | | | | | | | | (8213) op(e3, e0) = all_36_1 & $i(all_36_1) & ( ~
% 173.35/26.48 | | | | | | | | | | | | | (all_36_1 = e2) | ( ~ (all_36_0 = e1) & op(e2,
% 173.35/26.48 | | | | | | | | | | | | | e3) = all_36_0 & $i(all_36_0)))
% 173.35/26.48 | | | | | | | | | | | | |
% 173.35/26.48 | | | | | | | | | | | | | ALPHA: (8213) implies:
% 173.35/26.48 | | | | | | | | | | | | | (8214) op(e3, e0) = all_36_1
% 173.35/26.48 | | | | | | | | | | | | |
% 173.35/26.48 | | | | | | | | | | | | | COMBINE_EQS: (557), (8212) imply:
% 173.35/26.48 | | | | | | | | | | | | | (8215) all_14_2 = e0
% 173.35/26.48 | | | | | | | | | | | | |
% 173.35/26.48 | | | | | | | | | | | | | COMBINE_EQS: (549), (8215) imply:
% 173.35/26.48 | | | | | | | | | | | | | (8216) all_44_2 = e0
% 173.35/26.48 | | | | | | | | | | | | |
% 173.35/26.48 | | | | | | | | | | | | | REDUCE: (593), (8215) imply:
% 173.35/26.48 | | | | | | | | | | | | | (8217) ~ (all_61_1 = e0)
% 173.35/26.48 | | | | | | | | | | | | |
% 173.35/26.48 | | | | | | | | | | | | | REDUCE: (595), (8215) imply:
% 173.35/26.48 | | | | | | | | | | | | | (8218) ~ (all_61_2 = e0)
% 173.35/26.48 | | | | | | | | | | | | |
% 173.35/26.48 | | | | | | | | | | | | | REDUCE: (603), (8215) imply:
% 173.35/26.48 | | | | | | | | | | | | | (8219) ~ (all_61_12 = e0)
% 173.35/26.48 | | | | | | | | | | | | |
% 173.35/26.48 | | | | | | | | | | | | | REDUCE: (5858), (8215) imply:
% 173.35/26.48 | | | | | | | | | | | | | (8220) ~ (e2 = e0)
% 173.35/26.48 | | | | | | | | | | | | |
% 173.35/26.48 | | | | | | | | | | | | | REDUCE: (634), (8215) imply:
% 173.35/26.48 | | | | | | | | | | | | | (8221) op(e0, e3) = all_65_0
% 173.35/26.48 | | | | | | | | | | | | |
% 173.35/26.48 | | | | | | | | | | | | | REDUCE: (637), (8215) imply:
% 173.35/26.48 | | | | | | | | | | | | | (8222) op(e0, e0) = all_65_3
% 173.35/26.48 | | | | | | | | | | | | |
% 173.35/26.48 | | | | | | | | | | | | | REDUCE: (698), (8215) imply:
% 173.35/26.48 | | | | | | | | | | | | | (8223) op(e3, e0) = all_65_0
% 173.35/26.48 | | | | | | | | | | | | |
% 173.35/26.48 | | | | | | | | | | | | | REDUCE: (67), (8215) imply:
% 173.35/26.48 | | | | | | | | | | | | | (8224) op(e3, e3) = e0
% 173.35/26.48 | | | | | | | | | | | | |
% 173.35/26.48 | | | | | | | | | | | | | REDUCE: (715), (8215) imply:
% 173.35/26.48 | | | | | | | | | | | | | (8225) op(e2, e0) = all_65_16
% 173.35/26.48 | | | | | | | | | | | | |
% 173.35/26.48 | | | | | | | | | | | | | REDUCE: (732), (8215) imply:
% 173.35/26.48 | | | | | | | | | | | | | (8226) op(e1, e0) = all_65_32
% 173.35/26.48 | | | | | | | | | | | | |
% 173.35/26.48 | | | | | | | | | | | | | REDUCE: (749), (8215) imply:
% 173.35/26.48 | | | | | | | | | | | | | (8227) op(e0, e0) = all_65_49
% 173.35/26.48 | | | | | | | | | | | | |
% 173.35/26.48 | | | | | | | | | | | | | BETA: splitting (113) gives:
% 173.35/26.48 | | | | | | | | | | | | |
% 173.35/26.48 | | | | | | | | | | | | | Case 1:
% 173.35/26.48 | | | | | | | | | | | | | |
% 173.35/26.48 | | | | | | | | | | | | | | (8228) ~ (all_44_2 = e0)
% 173.35/26.48 | | | | | | | | | | | | | |
% 173.35/26.48 | | | | | | | | | | | | | | REDUCE: (8216), (8228) imply:
% 173.35/26.48 | | | | | | | | | | | | | | (8229) $false
% 173.35/26.48 | | | | | | | | | | | | | |
% 173.35/26.48 | | | | | | | | | | | | | | CLOSE: (8229) is inconsistent.
% 173.35/26.48 | | | | | | | | | | | | | |
% 173.35/26.48 | | | | | | | | | | | | | Case 2:
% 173.35/26.48 | | | | | | | | | | | | | |
% 173.35/26.48 | | | | | | | | | | | | | | (8230) op(e3, e0) = all_44_1 & $i(all_44_1) & ( ~
% 173.35/26.48 | | | | | | | | | | | | | | (all_44_1 = e1) | ( ~ (all_44_0 = e2) & op(e1,
% 173.35/26.48 | | | | | | | | | | | | | | e3) = all_44_0 & $i(all_44_0)))
% 173.35/26.48 | | | | | | | | | | | | | |
% 173.35/26.48 | | | | | | | | | | | | | | ALPHA: (8230) implies:
% 173.35/26.48 | | | | | | | | | | | | | | (8231) op(e3, e0) = all_44_1
% 173.35/26.48 | | | | | | | | | | | | | | (8232) ~ (all_44_1 = e1) | ( ~ (all_44_0 = e2) & op(e1,
% 173.35/26.48 | | | | | | | | | | | | | | e3) = all_44_0 & $i(all_44_0))
% 173.35/26.48 | | | | | | | | | | | | | |
% 173.35/26.48 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e2, all_65_3, e0, e0,
% 173.35/26.48 | | | | | | | | | | | | | | simplifying with (7730), (8222) gives:
% 173.35/26.48 | | | | | | | | | | | | | | (8233) all_65_3 = e2
% 173.35/26.48 | | | | | | | | | | | | | |
% 173.35/26.48 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_49, all_65_3, e0,
% 173.35/26.48 | | | | | | | | | | | | | | e0, simplifying with (8222), (8227) gives:
% 173.35/26.48 | | | | | | | | | | | | | | (8234) all_65_3 = all_65_49
% 173.35/26.48 | | | | | | | | | | | | | |
% 173.35/26.48 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_3, all_65_0, e3,
% 173.35/26.48 | | | | | | | | | | | | | | e0, simplifying with (226), (8221) gives:
% 173.35/26.48 | | | | | | | | | | | | | | (8235) all_65_0 = all_61_3
% 173.35/26.48 | | | | | | | | | | | | | |
% 173.35/26.48 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_14, all_65_32, e0,
% 173.35/26.48 | | | | | | | | | | | | | | e1, simplifying with (227), (8226) gives:
% 173.35/26.48 | | | | | | | | | | | | | | (8236) all_65_32 = all_61_14
% 173.35/26.48 | | | | | | | | | | | | | |
% 173.35/26.48 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_20_1, all_65_16, e0,
% 173.35/26.48 | | | | | | | | | | | | | | e2, simplifying with (7770), (8225) gives:
% 173.35/26.48 | | | | | | | | | | | | | | (8237) all_65_16 = all_20_1
% 173.35/26.48 | | | | | | | | | | | | | |
% 173.35/26.48 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_12, all_44_1, e0,
% 173.35/26.48 | | | | | | | | | | | | | | e3, simplifying with (235), (8231) gives:
% 173.35/26.48 | | | | | | | | | | | | | | (8238) all_61_12 = all_44_1
% 173.35/26.48 | | | | | | | | | | | | | |
% 173.35/26.48 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_12, all_65_0, e0,
% 173.35/26.48 | | | | | | | | | | | | | | e3, simplifying with (235), (8223) gives:
% 173.35/26.48 | | | | | | | | | | | | | | (8239) all_65_0 = all_61_12
% 173.35/26.48 | | | | | | | | | | | | | |
% 173.35/26.48 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_36_1, all_65_0, e0,
% 173.35/26.48 | | | | | | | | | | | | | | e3, simplifying with (8214), (8223) gives:
% 173.35/26.48 | | | | | | | | | | | | | | (8240) all_65_0 = all_36_1
% 173.35/26.48 | | | | | | | | | | | | | |
% 173.35/26.48 | | | | | | | | | | | | | | COMBINE_EQS: (8235), (8240) imply:
% 173.35/26.48 | | | | | | | | | | | | | | (8241) all_61_3 = all_36_1
% 173.35/26.48 | | | | | | | | | | | | | |
% 173.35/26.48 | | | | | | | | | | | | | | SIMP: (8241) implies:
% 173.35/26.48 | | | | | | | | | | | | | | (8242) all_61_3 = all_36_1
% 173.35/26.48 | | | | | | | | | | | | | |
% 173.35/26.48 | | | | | | | | | | | | | | COMBINE_EQS: (8239), (8240) imply:
% 173.35/26.48 | | | | | | | | | | | | | | (8243) all_61_12 = all_36_1
% 173.35/26.48 | | | | | | | | | | | | | |
% 173.35/26.48 | | | | | | | | | | | | | | SIMP: (8243) implies:
% 173.35/26.48 | | | | | | | | | | | | | | (8244) all_61_12 = all_36_1
% 173.35/26.48 | | | | | | | | | | | | | |
% 173.35/26.48 | | | | | | | | | | | | | | COMBINE_EQS: (8233), (8234) imply:
% 173.35/26.48 | | | | | | | | | | | | | | (8245) all_65_49 = e2
% 173.35/26.48 | | | | | | | | | | | | | |
% 173.35/26.48 | | | | | | | | | | | | | | SIMP: (8245) implies:
% 173.35/26.48 | | | | | | | | | | | | | | (8246) all_65_49 = e2
% 173.35/26.48 | | | | | | | | | | | | | |
% 173.35/26.48 | | | | | | | | | | | | | | COMBINE_EQS: (8238), (8244) imply:
% 173.35/26.48 | | | | | | | | | | | | | | (8247) all_44_1 = all_36_1
% 173.35/26.48 | | | | | | | | | | | | | |
% 173.35/26.48 | | | | | | | | | | | | | | SIMP: (8247) implies:
% 173.35/26.48 | | | | | | | | | | | | | | (8248) all_44_1 = all_36_1
% 173.35/26.48 | | | | | | | | | | | | | |
% 173.35/26.48 | | | | | | | | | | | | | | COMBINE_EQS: (506), (8242) imply:
% 173.35/26.48 | | | | | | | | | | | | | | (8249) all_63_12 = all_36_1
% 173.35/26.48 | | | | | | | | | | | | | |
% 173.35/26.48 | | | | | | | | | | | | | | COMBINE_EQS: (491), (8244) imply:
% 173.35/26.48 | | | | | | | | | | | | | | (8250) all_63_3 = all_36_1
% 173.35/26.48 | | | | | | | | | | | | | |
% 173.35/26.48 | | | | | | | | | | | | | | REDUCE: (215), (8242) imply:
% 173.35/26.48 | | | | | | | | | | | | | | (8251) ~ (all_61_1 = all_36_1)
% 173.35/26.48 | | | | | | | | | | | | | |
% 173.35/26.48 | | | | | | | | | | | | | | REDUCE: (187), (8244) imply:
% 173.35/26.48 | | | | | | | | | | | | | | (8252) ~ (all_61_8 = all_36_1)
% 173.35/26.48 | | | | | | | | | | | | | |
% 173.35/26.48 | | | | | | | | | | | | | | REDUCE: (7749), (8244) imply:
% 173.35/26.48 | | | | | | | | | | | | | | (8253) ~ (all_36_1 = all_20_1)
% 173.35/26.48 | | | | | | | | | | | | | |
% 173.35/26.48 | | | | | | | | | | | | | | REDUCE: (7720), (8244) imply:
% 173.35/26.48 | | | | | | | | | | | | | | (8254) ~ (all_36_1 = e2)
% 173.35/26.48 | | | | | | | | | | | | | |
% 173.35/26.48 | | | | | | | | | | | | | | REDUCE: (8219), (8244) imply:
% 173.35/26.48 | | | | | | | | | | | | | | (8255) ~ (all_36_1 = e0)
% 173.35/26.48 | | | | | | | | | | | | | |
% 173.35/26.48 | | | | | | | | | | | | | | REDUCE: (650), (8237) imply:
% 173.35/26.48 | | | | | | | | | | | | | | (8256) op(all_61_1, e3) = all_20_1
% 173.35/26.48 | | | | | | | | | | | | | |
% 173.35/26.48 | | | | | | | | | | | | | | REDUCE: (683), (8242) imply:
% 173.35/26.48 | | | | | | | | | | | | | | (8257) op(all_36_1, e2) = all_65_51
% 173.35/26.48 | | | | | | | | | | | | | |
% 173.35/26.48 | | | | | | | | | | | | | | REDUCE: (684), (8242) imply:
% 173.35/26.48 | | | | | | | | | | | | | | (8258) op(all_36_1, e1) = all_65_53
% 173.35/26.48 | | | | | | | | | | | | | |
% 173.35/26.48 | | | | | | | | | | | | | | REDUCE: (685), (8242) imply:
% 173.35/26.48 | | | | | | | | | | | | | | (8259) op(all_36_1, e0) = all_65_55
% 173.35/26.48 | | | | | | | | | | | | | |
% 173.35/26.48 | | | | | | | | | | | | | | REDUCE: (647), (8244) imply:
% 173.35/26.48 | | | | | | | | | | | | | | (8260) op(all_36_1, e2) = all_65_13
% 173.35/26.48 | | | | | | | | | | | | | |
% 173.77/26.48 | | | | | | | | | | | | | | REDUCE: (648), (8244) imply:
% 173.77/26.48 | | | | | | | | | | | | | | (8261) op(all_36_1, e1) = all_65_14
% 173.77/26.48 | | | | | | | | | | | | | |
% 173.77/26.48 | | | | | | | | | | | | | | REDUCE: (7760), (8244) imply:
% 173.77/26.48 | | | | | | | | | | | | | | (8262) op(all_36_1, e0) = all_61_4
% 173.77/26.48 | | | | | | | | | | | | | |
% 173.77/26.48 | | | | | | | | | | | | | | REDUCE: (7785), (8242) imply:
% 173.77/26.48 | | | | | | | | | | | | | | (8263) op(e2, all_36_1) = all_65_57
% 173.77/26.48 | | | | | | | | | | | | | |
% 173.77/26.48 | | | | | | | | | | | | | | REDUCE: (718), (8244) imply:
% 173.77/26.48 | | | | | | | | | | | | | | (8264) op(e2, all_36_1) = all_65_19
% 173.77/26.48 | | | | | | | | | | | | | |
% 173.77/26.48 | | | | | | | | | | | | | | REDUCE: (7773), (8242) imply:
% 173.77/26.48 | | | | | | | | | | | | | | (8265) op(e0, all_36_1) = all_61_1
% 173.77/26.48 | | | | | | | | | | | | | |
% 173.77/26.48 | | | | | | | | | | | | | | REDUCE: (752), (8244) imply:
% 173.77/26.48 | | | | | | | | | | | | | | (8266) op(e0, all_36_1) = all_65_55
% 173.77/26.48 | | | | | | | | | | | | | |
% 173.77/26.48 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_1, all_65_55,
% 173.77/26.48 | | | | | | | | | | | | | | all_36_1, e0, simplifying with (8265), (8266)
% 173.77/26.48 | | | | | | | | | | | | | | gives:
% 173.77/26.48 | | | | | | | | | | | | | | (8267) all_65_55 = all_61_1
% 173.77/26.48 | | | | | | | | | | | | | |
% 173.77/26.48 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_57, all_65_19,
% 173.77/26.48 | | | | | | | | | | | | | | all_36_1, e2, simplifying with (8263), (8264)
% 173.77/26.48 | | | | | | | | | | | | | | gives:
% 173.77/26.48 | | | | | | | | | | | | | | (8268) all_65_19 = all_65_57
% 173.77/26.48 | | | | | | | | | | | | | |
% 173.77/26.48 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_4, all_65_55, e0,
% 173.77/26.48 | | | | | | | | | | | | | | all_36_1, simplifying with (8259), (8262) gives:
% 173.77/26.48 | | | | | | | | | | | | | | (8269) all_65_55 = all_61_4
% 173.77/26.48 | | | | | | | | | | | | | |
% 173.77/26.48 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_53, all_65_14, e1,
% 173.77/26.48 | | | | | | | | | | | | | | all_36_1, simplifying with (8258), (8261) gives:
% 173.77/26.48 | | | | | | | | | | | | | | (8270) all_65_14 = all_65_53
% 173.77/26.48 | | | | | | | | | | | | | |
% 173.77/26.48 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_51, all_65_13, e2,
% 173.77/26.48 | | | | | | | | | | | | | | all_36_1, simplifying with (8257), (8260) gives:
% 173.77/26.48 | | | | | | | | | | | | | | (8271) all_65_13 = all_65_51
% 173.77/26.48 | | | | | | | | | | | | | |
% 173.77/26.48 | | | | | | | | | | | | | | COMBINE_EQS: (8267), (8269) imply:
% 173.77/26.48 | | | | | | | | | | | | | | (8272) all_61_1 = all_61_4
% 173.77/26.48 | | | | | | | | | | | | | |
% 173.77/26.48 | | | | | | | | | | | | | | SIMP: (8272) implies:
% 173.77/26.48 | | | | | | | | | | | | | | (8273) all_61_1 = all_61_4
% 173.77/26.48 | | | | | | | | | | | | | |
% 173.77/26.48 | | | | | | | | | | | | | | COMBINE_EQS: (493), (8273) imply:
% 173.77/26.48 | | | | | | | | | | | | | | (8274) all_63_4 = all_61_4
% 173.77/26.48 | | | | | | | | | | | | | |
% 173.77/26.48 | | | | | | | | | | | | | | REDUCE: (216), (8273) imply:
% 173.77/26.48 | | | | | | | | | | | | | | (8275) ~ (all_61_2 = all_61_4)
% 173.77/26.48 | | | | | | | | | | | | | |
% 173.77/26.48 | | | | | | | | | | | | | | SIMP: (8275) implies:
% 173.77/26.48 | | | | | | | | | | | | | | (8276) ~ (all_61_2 = all_61_4)
% 173.77/26.48 | | | | | | | | | | | | | |
% 173.77/26.48 | | | | | | | | | | | | | | REDUCE: (8251), (8273) imply:
% 173.77/26.48 | | | | | | | | | | | | | | (8277) ~ (all_61_4 = all_36_1)
% 173.77/26.48 | | | | | | | | | | | | | |
% 173.77/26.48 | | | | | | | | | | | | | | REDUCE: (8217), (8273) imply:
% 173.77/26.48 | | | | | | | | | | | | | | (8278) ~ (all_61_4 = e0)
% 173.77/26.48 | | | | | | | | | | | | | |
% 173.77/26.48 | | | | | | | | | | | | | | REDUCE: (8256), (8273) imply:
% 173.77/26.48 | | | | | | | | | | | | | | (8279) op(all_61_4, e3) = all_20_1
% 173.77/26.48 | | | | | | | | | | | | | |
% 173.77/26.48 | | | | | | | | | | | | | | REDUCE: (652), (8273) imply:
% 173.77/26.48 | | | | | | | | | | | | | | (8280) op(all_61_4, e1) = all_65_18
% 173.77/26.48 | | | | | | | | | | | | | |
% 173.77/26.48 | | | | | | | | | | | | | | REDUCE: (653), (8268), (8273) imply:
% 173.77/26.48 | | | | | | | | | | | | | | (8281) op(all_61_4, e0) = all_65_57
% 173.77/26.48 | | | | | | | | | | | | | |
% 173.77/26.48 | | | | | | | | | | | | | | REDUCE: (7782), (8271) imply:
% 173.77/26.48 | | | | | | | | | | | | | | (8282) op(all_61_4, e0) = all_65_51
% 173.77/26.48 | | | | | | | | | | | | | |
% 173.77/26.48 | | | | | | | | | | | | | | REDUCE: (702), (8273) imply:
% 173.77/26.48 | | | | | | | | | | | | | | (8283) op(e3, all_61_4) = all_65_4
% 173.77/26.48 | | | | | | | | | | | | | |
% 173.77/26.48 | | | | | | | | | | | | | | REDUCE: (8106), (8270) imply:
% 173.77/26.48 | | | | | | | | | | | | | | (8284) op(e3, all_61_14) = all_65_53
% 173.77/26.48 | | | | | | | | | | | | | |
% 173.77/26.48 | | | | | | | | | | | | | | REDUCE: (7766), (8271) imply:
% 173.77/26.48 | | | | | | | | | | | | | | (8285) op(e3, all_20_1) = all_65_51
% 173.77/26.48 | | | | | | | | | | | | | |
% 173.77/26.48 | | | | | | | | | | | | | | REDUCE: (736), (8273) imply:
% 173.77/26.48 | | | | | | | | | | | | | | (8286) op(e1, all_61_4) = all_65_36
% 173.77/26.48 | | | | | | | | | | | | | |
% 173.77/26.48 | | | | | | | | | | | | | | REDUCE: (5839), (8273) imply:
% 173.77/26.48 | | | | | | | | | | | | | | (8287) op(e1, all_61_2) = all_61_4
% 173.77/26.48 | | | | | | | | | | | | | |
% 173.77/26.48 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_33, all_65_36,
% 173.77/26.48 | | | | | | | | | | | | | | all_61_4, e1, simplifying with (733), (8286)
% 173.77/26.48 | | | | | | | | | | | | | | gives:
% 173.77/26.48 | | | | | | | | | | | | | | (8288) all_65_33 = all_65_36
% 173.77/26.48 | | | | | | | | | | | | | |
% 173.77/26.48 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_57, all_65_51, e0,
% 173.77/26.48 | | | | | | | | | | | | | | all_61_4, simplifying with (8281), (8282) gives:
% 173.77/26.48 | | | | | | | | | | | | | | (8289) all_65_51 = all_65_57
% 173.77/26.48 | | | | | | | | | | | | | |
% 173.77/26.48 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_9, all_65_18, e1,
% 173.77/26.48 | | | | | | | | | | | | | | all_61_4, simplifying with (5851), (8280) gives:
% 173.77/26.48 | | | | | | | | | | | | | | (8290) all_65_9 = all_65_18
% 173.77/26.48 | | | | | | | | | | | | | |
% 173.77/26.48 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_4, all_20_1, e3,
% 173.77/26.48 | | | | | | | | | | | | | | all_61_4, simplifying with (638), (8279) gives:
% 173.77/26.48 | | | | | | | | | | | | | | (8291) all_65_4 = all_20_1
% 173.77/26.48 | | | | | | | | | | | | | |
% 173.77/26.48 | | | | | | | | | | | | | | REDUCE: (667), (8288) imply:
% 173.77/26.48 | | | | | | | | | | | | | | (8292) op(all_61_2, e2) = all_65_36
% 173.77/26.48 | | | | | | | | | | | | | |
% 173.77/26.48 | | | | | | | | | | | | | | REDUCE: (643), (8290) imply:
% 173.77/26.48 | | | | | | | | | | | | | | (8293) op(all_61_8, e2) = all_65_18
% 173.77/26.48 | | | | | | | | | | | | | |
% 173.77/26.48 | | | | | | | | | | | | | | REDUCE: (8257), (8289) imply:
% 173.77/26.49 | | | | | | | | | | | | | | (8294) op(all_36_1, e2) = all_65_57
% 173.77/26.49 | | | | | | | | | | | | | |
% 173.77/26.49 | | | | | | | | | | | | | | REDUCE: (8283), (8291) imply:
% 173.77/26.49 | | | | | | | | | | | | | | (8295) op(e3, all_61_4) = all_20_1
% 173.77/26.49 | | | | | | | | | | | | | |
% 173.77/26.49 | | | | | | | | | | | | | | REDUCE: (8285), (8289) imply:
% 173.77/26.49 | | | | | | | | | | | | | | (8296) op(e3, all_20_1) = all_65_57
% 173.77/26.49 | | | | | | | | | | | | | |
% 173.77/26.49 | | | | | | | | | | | | | | REDUCE: (5834), (8290) imply:
% 173.77/26.49 | | | | | | | | | | | | | | (8297) op(e3, all_10_1) = all_65_18
% 173.77/26.49 | | | | | | | | | | | | | |
% 173.77/26.49 | | | | | | | | | | | | | | BETA: splitting (157) gives:
% 173.77/26.49 | | | | | | | | | | | | | |
% 173.77/26.49 | | | | | | | | | | | | | | Case 1:
% 173.77/26.49 | | | | | | | | | | | | | | |
% 173.77/26.49 | | | | | | | | | | | | | | | (8298) ~ (all_58_3 = e1)
% 173.77/26.49 | | | | | | | | | | | | | | |
% 173.77/26.49 | | | | | | | | | | | | | | | REDUCE: (475), (8298) imply:
% 173.77/26.49 | | | | | | | | | | | | | | | (8299) ~ (all_52_3 = e1)
% 173.77/26.49 | | | | | | | | | | | | | | |
% 173.77/26.49 | | | | | | | | | | | | | | | BETA: splitting (161) gives:
% 173.77/26.49 | | | | | | | | | | | | | | |
% 173.77/26.49 | | | | | | | | | | | | | | | Case 1:
% 173.77/26.49 | | | | | | | | | | | | | | | |
% 173.77/26.49 | | | | | | | | | | | | | | | | (8300) ~ (all_58_2 = e2)
% 173.77/26.49 | | | | | | | | | | | | | | | |
% 173.77/26.49 | | | | | | | | | | | | | | | | REDUCE: (478), (8300) imply:
% 173.77/26.49 | | | | | | | | | | | | | | | | (8301) ~ (all_52_2 = e2)
% 173.77/26.49 | | | | | | | | | | | | | | | |
% 173.77/26.49 | | | | | | | | | | | | | | | | BETA: splitting (158) gives:
% 173.77/26.49 | | | | | | | | | | | | | | | |
% 173.77/26.49 | | | | | | | | | | | | | | | | Case 1:
% 173.77/26.49 | | | | | | | | | | | | | | | | |
% 173.77/26.49 | | | | | | | | | | | | | | | | | (8302) ~ (all_58_3 = e2)
% 173.77/26.49 | | | | | | | | | | | | | | | | |
% 173.77/26.49 | | | | | | | | | | | | | | | | | REDUCE: (475), (8302) imply:
% 173.77/26.49 | | | | | | | | | | | | | | | | | (8303) ~ (all_52_3 = e2)
% 173.77/26.49 | | | | | | | | | | | | | | | | |
% 173.77/26.49 | | | | | | | | | | | | | | | | | BETA: splitting (162) gives:
% 173.77/26.49 | | | | | | | | | | | | | | | | |
% 173.77/26.49 | | | | | | | | | | | | | | | | | Case 1:
% 173.77/26.49 | | | | | | | | | | | | | | | | | |
% 173.77/26.49 | | | | | | | | | | | | | | | | | | (8304) ~ (all_58_2 = e3)
% 173.77/26.49 | | | | | | | | | | | | | | | | | |
% 173.77/26.49 | | | | | | | | | | | | | | | | | | REDUCE: (478), (8304) imply:
% 173.77/26.49 | | | | | | | | | | | | | | | | | | (8305) ~ (all_52_2 = e3)
% 173.77/26.49 | | | | | | | | | | | | | | | | | |
% 173.77/26.49 | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (19), (50), (149), (160), (475), (478),
% 173.77/26.49 | | | | | | | | | | | | | | | | | | (538), (748), (5784), (8078), (8299), (8301),
% 173.77/26.49 | | | | | | | | | | | | | | | | | | (8305) are inconsistent by sub-proof #269.
% 173.77/26.49 | | | | | | | | | | | | | | | | | |
% 173.77/26.49 | | | | | | | | | | | | | | | | | Case 2:
% 173.77/26.49 | | | | | | | | | | | | | | | | | |
% 173.77/26.49 | | | | | | | | | | | | | | | | | | (8306) all_58_2 = e3
% 173.77/26.49 | | | | | | | | | | | | | | | | | | (8307) all_58_0 = e1
% 173.77/26.49 | | | | | | | | | | | | | | | | | |
% 173.77/26.49 | | | | | | | | | | | | | | | | | | REF_CLOSE: (50), (148), (150), (163), (475), (478), (481),
% 173.77/26.49 | | | | | | | | | | | | | | | | | | (484), (536), (539), (628), (630), (631), (632),
% 173.77/26.49 | | | | | | | | | | | | | | | | | | (633), (731), (765), (7730), (8078), (8303),
% 173.77/26.49 | | | | | | | | | | | | | | | | | | (8306), (8307) are inconsistent by sub-proof #241.
% 173.77/26.49 | | | | | | | | | | | | | | | | | |
% 173.77/26.49 | | | | | | | | | | | | | | | | | End of split
% 173.77/26.49 | | | | | | | | | | | | | | | | |
% 173.77/26.49 | | | | | | | | | | | | | | | | Case 2:
% 173.77/26.49 | | | | | | | | | | | | | | | | |
% 173.77/26.49 | | | | | | | | | | | | | | | | | (8308) all_58_1 = e0
% 173.77/26.49 | | | | | | | | | | | | | | | | |
% 173.77/26.49 | | | | | | | | | | | | | | | | | COMBINE_EQS: (481), (8308) imply:
% 173.77/26.49 | | | | | | | | | | | | | | | | | (8309) all_52_1 = e0
% 173.77/26.49 | | | | | | | | | | | | | | | | |
% 173.77/26.49 | | | | | | | | | | | | | | | | | SIMP: (8309) implies:
% 173.77/26.49 | | | | | | | | | | | | | | | | | (8310) all_52_1 = e0
% 173.77/26.49 | | | | | | | | | | | | | | | | |
% 173.77/26.49 | | | | | | | | | | | | | | | | | REDUCE: (731), (8310) imply:
% 173.77/26.49 | | | | | | | | | | | | | | | | | (8311) op(e2, e0) = unit
% 173.77/26.49 | | | | | | | | | | | | | | | | |
% 173.77/26.49 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_20_1, unit, e0, e2,
% 173.77/26.49 | | | | | | | | | | | | | | | | | simplifying with (7770), (8311) gives:
% 173.77/26.49 | | | | | | | | | | | | | | | | | (8312) all_20_1 = unit
% 173.77/26.49 | | | | | | | | | | | | | | | | |
% 173.77/26.49 | | | | | | | | | | | | | | | | | REDUCE: (8253), (8312) imply:
% 173.77/26.49 | | | | | | | | | | | | | | | | | (8313) ~ (all_36_1 = unit)
% 173.77/26.49 | | | | | | | | | | | | | | | | |
% 173.77/26.49 | | | | | | | | | | | | | | | | | REDUCE: (7752), (8312) imply:
% 173.77/26.49 | | | | | | | | | | | | | | | | | (8314) ~ (all_10_1 = unit)
% 173.77/26.49 | | | | | | | | | | | | | | | | |
% 173.77/26.49 | | | | | | | | | | | | | | | | | SIMP: (8314) implies:
% 173.77/26.49 | | | | | | | | | | | | | | | | | (8315) ~ (all_10_1 = unit)
% 173.77/26.49 | | | | | | | | | | | | | | | | |
% 173.77/26.49 | | | | | | | | | | | | | | | | | REDUCE: (7754), (8312) imply:
% 173.77/26.49 | | | | | | | | | | | | | | | | | (8316) ~ (unit = e2)
% 173.77/26.49 | | | | | | | | | | | | | | | | |
% 173.77/26.49 | | | | | | | | | | | | | | | | | REDUCE: (8072), (8312) imply:
% 173.77/26.49 | | | | | | | | | | | | | | | | | (8317) ~ (unit = e0)
% 173.77/26.49 | | | | | | | | | | | | | | | | |
% 173.77/26.49 | | | | | | | | | | | | | | | | | REDUCE: (8295), (8312) imply:
% 173.77/26.49 | | | | | | | | | | | | | | | | | (8318) op(e3, all_61_4) = unit
% 173.77/26.49 | | | | | | | | | | | | | | | | |
% 173.77/26.49 | | | | | | | | | | | | | | | | | REDUCE: (8296), (8312) imply:
% 173.77/26.49 | | | | | | | | | | | | | | | | | (8319) op(e3, unit) = all_65_57
% 173.77/26.49 | | | | | | | | | | | | | | | | |
% 173.77/26.49 | | | | | | | | | | | | | | | | | REDUCE: (8112), (8312) imply:
% 173.77/26.49 | | | | | | | | | | | | | | | | | (8320) op(e1, unit) = all_65_67
% 173.77/26.49 | | | | | | | | | | | | | | | | |
% 173.77/26.49 | | | | | | | | | | | | | | | | | BETA: splitting (852) gives:
% 173.77/26.49 | | | | | | | | | | | | | | | | |
% 173.77/26.49 | | | | | | | | | | | | | | | | | Case 1:
% 173.77/26.49 | | | | | | | | | | | | | | | | | |
% 173.77/26.49 | | | | | | | | | | | | | | | | | | (8321) unit = e2
% 173.77/26.49 | | | | | | | | | | | | | | | | | |
% 173.77/26.49 | | | | | | | | | | | | | | | | | | REDUCE: (8316), (8321) imply:
% 173.77/26.49 | | | | | | | | | | | | | | | | | | (8322) $false
% 173.77/26.49 | | | | | | | | | | | | | | | | | |
% 173.77/26.49 | | | | | | | | | | | | | | | | | | CLOSE: (8322) is inconsistent.
% 173.77/26.49 | | | | | | | | | | | | | | | | | |
% 173.77/26.49 | | | | | | | | | | | | | | | | | Case 2:
% 173.77/26.49 | | | | | | | | | | | | | | | | | |
% 173.77/26.49 | | | | | | | | | | | | | | | | | | (8323) unit = e1 | unit = e0
% 173.77/26.49 | | | | | | | | | | | | | | | | | |
% 173.77/26.49 | | | | | | | | | | | | | | | | | | BETA: splitting (8323) gives:
% 173.77/26.49 | | | | | | | | | | | | | | | | | |
% 173.77/26.49 | | | | | | | | | | | | | | | | | | Case 1:
% 173.77/26.49 | | | | | | | | | | | | | | | | | | |
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | (8324) unit = e1
% 173.77/26.49 | | | | | | | | | | | | | | | | | | |
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | REDUCE: (8313), (8324) imply:
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | (8325) ~ (all_36_1 = e1)
% 173.77/26.49 | | | | | | | | | | | | | | | | | | |
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | REDUCE: (8315), (8324) imply:
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | (8326) ~ (all_10_1 = e1)
% 173.77/26.49 | | | | | | | | | | | | | | | | | | |
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | REDUCE: (8318), (8324) imply:
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | (8327) op(e3, all_61_4) = e1
% 173.77/26.49 | | | | | | | | | | | | | | | | | | |
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | REDUCE: (8319), (8324) imply:
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | (8328) op(e3, e1) = all_65_57
% 173.77/26.49 | | | | | | | | | | | | | | | | | | |
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | REDUCE: (6), (8324) imply:
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | (8329) op(e3, e1) = e3
% 173.77/26.49 | | | | | | | | | | | | | | | | | | |
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | REDUCE: (8320), (8324) imply:
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | (8330) op(e1, e1) = all_65_67
% 173.77/26.49 | | | | | | | | | | | | | | | | | | |
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | BETA: splitting (265) gives:
% 173.77/26.49 | | | | | | | | | | | | | | | | | | |
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | Case 1:
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | |
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | (8331) all_63_6 = e3
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | |
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5809), (8331) imply:
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | (8332) all_10_1 = e3
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | |
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | REDUCE: (5811), (8332) imply:
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | (8333) ~ (all_61_2 = e3)
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | |
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | REDUCE: (5816), (8332) imply:
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | (8334) ~ (all_61_14 = e3)
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | |
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | REDUCE: (8105), (8332) imply:
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | (8335) op(e3, e2) = all_61_14
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | |
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | REDUCE: (8111), (8332) imply:
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | (8336) op(e3, e0) = all_65_67
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | |
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | BETA: splitting (5769) gives:
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | |
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | |
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | (8337) ~ (all_10_1 = e3)
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | |
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (265), (5809), (5823), (8073), (8326), (8337) are
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #287.
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | |
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | |
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | (8338) ~ (all_10_0 = e0) & op(e3, e1) = all_10_0 &
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | $i(all_10_0)
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | |
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | ALPHA: (8338) implies:
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | (8339) op(e3, e1) = all_10_0
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | |
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (263) gives:
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | |
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | |
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | (8340) all_63_8 = e3
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | |
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (499), (8340) imply:
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | (8341) all_61_2 = e3
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | |
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8333), (8341) imply:
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | (8342) $false
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | |
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (8342) is inconsistent.
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | |
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | |
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | (8343) all_63_8 = e2 | all_63_8 = e1 | all_63_8 = e0
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | |
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8343) gives:
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | |
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | |
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | (8344) all_63_8 = e2
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | |
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (499), (8344) imply:
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | (8345) all_61_2 = e2
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | |
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5772), (8345) imply:
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | (8346) $false
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | |
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (8346) is inconsistent.
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | |
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | |
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | (8347) all_63_8 = e1 | all_63_8 = e0
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | |
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (257) gives:
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | |
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | |
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | (8348) all_63_14 = e3
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | |
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8099), (8348) imply:
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | (8349) all_61_14 = e3
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | |
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8334), (8349) imply:
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | (8350) $false
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | |
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (8350) is inconsistent.
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | |
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | |
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | (8351) all_63_14 = e2 | all_63_14 = e1 | all_63_14 = e0
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | |
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (268) gives:
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | |
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | (8352) all_63_3 = e3
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8250), (8352) imply:
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | (8353) all_36_1 = e3
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8277), (8353) imply:
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | (8354) ~ (all_61_4 = e3)
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8294), (8353) imply:
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | (8355) op(e3, e2) = all_65_57
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8258), (8353) imply:
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | (8356) op(e3, e1) = all_65_53
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8347) gives:
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | (8357) all_63_8 = e1
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (499), (8357) imply:
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | (8358) all_61_2 = e1
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8358) implies:
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | (8359) all_61_2 = e1
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8276), (8359) imply:
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | (8360) ~ (all_61_4 = e1)
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8360) implies:
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | (8361) ~ (all_61_4 = e1)
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (208), (8359) imply:
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | (8362) ~ (all_61_14 = e1)
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8362) implies:
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | (8363) ~ (all_61_14 = e1)
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (668), (8359) imply:
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | (8364) op(e1, e1) = all_65_34
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (706), (8359) imply:
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | (8365) op(e3, e1) = all_65_8
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8287), (8359) imply:
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | (8366) op(e1, e1) = all_61_4
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (267) gives:
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8367) all_63_4 = e3
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8274), (8367) imply:
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8368) all_61_4 = e3
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8354), (8368) imply:
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8369) $false
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (8369) is inconsistent.
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8370) ~ (all_63_4 = e3)
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8371) all_63_4 = e2 | all_63_4 = e1 | all_63_4 = e0
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (270) gives:
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8372) all_63_1 = e3
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (488), (8372) imply:
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8373) all_61_4 = e3
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8354), (8373) imply:
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8374) $false
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (8374) is inconsistent.
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8375) all_63_1 = e2 | all_63_1 = e1 | all_63_1 = e0
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8371) gives:
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8376) all_63_4 = e2
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8274), (8376) imply:
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8377) all_61_4 = e2
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8327), (8377) imply:
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8378) op(e3, e2) = e1
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (237), (8377) imply:
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8379) op(e3, e2) = e2
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8351) gives:
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8380) all_63_14 = e2
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5776), (8099), (8380) are inconsistent by
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #251.
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8381) all_63_14 = e1 | all_63_14 = e0
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8381) gives:
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8382) all_63_14 = e1
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8099), (8363), (8382) are inconsistent by
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #250.
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8383) all_63_14 = e0
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8099), (8383) imply:
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8384) all_61_14 = e0
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8384) implies:
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8385) all_61_14 = e0
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8363), (8385) imply:
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8386) ~ (e1 = e0)
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8284), (8385) imply:
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8387) op(e3, e0) = all_65_53
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8335), (8385) imply:
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8388) op(e3, e2) = e0
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e2, all_65_34, e1, e1,
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (5784), (8364) gives:
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8389) all_65_34 = e2
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_67, all_65_34, e1,
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, simplifying with (8330), (8364) gives:
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8390) all_65_34 = all_65_67
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_67, all_65_53, e0,
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, simplifying with (8336), (8387) gives:
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8391) all_65_53 = all_65_67
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_10_0, all_65_57, e1,
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, simplifying with (8328), (8339) gives:
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8392) all_65_57 = all_10_0
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_53, all_65_8, e1,
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, simplifying with (8356), (8365) gives:
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8393) all_65_8 = all_65_53
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_10_0, all_65_8, e1,
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, simplifying with (8339), (8365) gives:
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8394) all_65_8 = all_10_0
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e3, all_65_8, e1, e3,
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (8329), (8365) gives:
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8395) all_65_8 = e3
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e1, e2, e2, e3,
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (8378), (8379) gives:
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8396) e2 = e1
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e0, all_65_57, e2, e3,
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (8355), (8388) gives:
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8397) all_65_57 = e0
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8393), (8395) imply:
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8398) all_65_53 = e3
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8393), (8394) imply:
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8399) all_65_53 = all_10_0
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8389), (8390) imply:
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8400) all_65_67 = e2
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8398), (8399) imply:
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8401) all_10_0 = e3
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8401) implies:
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8402) all_10_0 = e3
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8391), (8398) imply:
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8403) all_65_67 = e3
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8403) implies:
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8404) all_65_67 = e3
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8392), (8397) imply:
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8405) all_10_0 = e0
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8405) implies:
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8406) all_10_0 = e0
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8400), (8404) imply:
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8407) e3 = e2
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8402), (8406) imply:
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8408) e3 = e0
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8407), (8408) imply:
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8409) e2 = e0
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8409) implies:
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8410) e2 = e0
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (8396), (8410) are inconsistent by sub-proof
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #403.
% 173.77/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.84/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.84/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.84/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.84/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.84/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.84/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.84/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8411) ~ (all_63_4 = e2)
% 173.84/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.84/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8274), (8411) imply:
% 173.84/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8412) ~ (all_61_4 = e2)
% 173.84/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.84/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (488), (8278), (8361), (8375), (8412) are
% 173.84/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #485.
% 173.84/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.84/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.84/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.84/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.84/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.84/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.84/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.84/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.84/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.84/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | (8413) all_63_8 = e0
% 173.84/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.84/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (499), (8218), (8413) are inconsistent by
% 173.84/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #388.
% 173.84/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.84/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.84/26.49 | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.84/26.49 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | (8414) all_63_3 = e2 | all_63_3 = e1 | all_63_3 = e0
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8250), (8254), (8255), (8325), (8414) are
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #447.
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | |
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | |
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | |
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | End of split
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | |
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | End of split
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | |
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | Case 2:
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | |
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | (8415) all_63_6 = e2 | all_63_6 = e1 | all_63_6 = e0
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | |
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5809), (5823), (8073), (8326), (8415) are
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #288.
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | |
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | End of split
% 173.84/26.50 | | | | | | | | | | | | | | | | | | |
% 173.84/26.50 | | | | | | | | | | | | | | | | | | Case 2:
% 173.84/26.50 | | | | | | | | | | | | | | | | | | |
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | (8416) ~ (unit = e1)
% 173.84/26.50 | | | | | | | | | | | | | | | | | | |
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8317), (8323), (8416) are inconsistent by
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | sub-proof #419.
% 173.84/26.50 | | | | | | | | | | | | | | | | | | |
% 173.84/26.50 | | | | | | | | | | | | | | | | | | End of split
% 173.84/26.50 | | | | | | | | | | | | | | | | | |
% 173.84/26.50 | | | | | | | | | | | | | | | | | End of split
% 173.84/26.50 | | | | | | | | | | | | | | | | |
% 173.84/26.50 | | | | | | | | | | | | | | | | End of split
% 173.84/26.50 | | | | | | | | | | | | | | | |
% 173.84/26.50 | | | | | | | | | | | | | | | Case 2:
% 173.84/26.50 | | | | | | | | | | | | | | | |
% 173.84/26.50 | | | | | | | | | | | | | | | | (8417) all_58_1 = e1
% 173.84/26.50 | | | | | | | | | | | | | | | |
% 173.84/26.50 | | | | | | | | | | | | | | | | COMBINE_EQS: (481), (8417) imply:
% 173.84/26.50 | | | | | | | | | | | | | | | | (8418) all_52_1 = e1
% 173.84/26.50 | | | | | | | | | | | | | | | |
% 173.84/26.50 | | | | | | | | | | | | | | | | SIMP: (8418) implies:
% 173.84/26.50 | | | | | | | | | | | | | | | | (8419) all_52_1 = e1
% 173.84/26.50 | | | | | | | | | | | | | | | |
% 173.84/26.50 | | | | | | | | | | | | | | | | REDUCE: (731), (8419) imply:
% 173.84/26.50 | | | | | | | | | | | | | | | | (8420) op(e2, e1) = unit
% 173.84/26.50 | | | | | | | | | | | | | | | |
% 173.84/26.50 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_10_1, unit, e1, e2,
% 173.84/26.50 | | | | | | | | | | | | | | | | simplifying with (5838), (8420) gives:
% 173.84/26.50 | | | | | | | | | | | | | | | | (8421) all_10_1 = unit
% 173.84/26.50 | | | | | | | | | | | | | | | |
% 173.84/26.50 | | | | | | | | | | | | | | | | REDUCE: (5811), (8421) imply:
% 173.84/26.50 | | | | | | | | | | | | | | | | (8422) ~ (all_61_2 = unit)
% 173.84/26.50 | | | | | | | | | | | | | | | |
% 173.84/26.50 | | | | | | | | | | | | | | | | REDUCE: (5817), (8421) imply:
% 173.84/26.50 | | | | | | | | | | | | | | | | (8423) ~ (all_61_8 = unit)
% 173.84/26.50 | | | | | | | | | | | | | | | |
% 173.84/26.50 | | | | | | | | | | | | | | | | REDUCE: (5816), (8421) imply:
% 173.84/26.50 | | | | | | | | | | | | | | | | (8424) ~ (all_61_14 = unit)
% 173.84/26.50 | | | | | | | | | | | | | | | |
% 173.84/26.50 | | | | | | | | | | | | | | | | REDUCE: (7752), (8421) imply:
% 173.84/26.50 | | | | | | | | | | | | | | | | (8425) ~ (all_20_1 = unit)
% 173.84/26.50 | | | | | | | | | | | | | | | |
% 173.84/26.50 | | | | | | | | | | | | | | | | REDUCE: (5823), (8421) imply:
% 173.84/26.50 | | | | | | | | | | | | | | | | (8426) ~ (unit = e2)
% 173.84/26.50 | | | | | | | | | | | | | | | |
% 173.84/26.50 | | | | | | | | | | | | | | | | REDUCE: (8073), (8421) imply:
% 173.84/26.50 | | | | | | | | | | | | | | | | (8427) ~ (unit = e0)
% 173.84/26.50 | | | | | | | | | | | | | | | |
% 173.84/26.50 | | | | | | | | | | | | | | | | REDUCE: (5824), (8421) imply:
% 173.84/26.50 | | | | | | | | | | | | | | | | (8428) op(unit, e3) = all_65_36
% 173.84/26.50 | | | | | | | | | | | | | | | |
% 173.84/26.50 | | | | | | | | | | | | | | | | REDUCE: (8297), (8421) imply:
% 173.84/26.50 | | | | | | | | | | | | | | | | (8429) op(e3, unit) = all_65_18
% 173.84/26.50 | | | | | | | | | | | | | | | |
% 173.84/26.50 | | | | | | | | | | | | | | | | REDUCE: (5768), (8421) imply:
% 173.84/26.50 | | | | | | | | | | | | | | | | (8430) op(e1, e2) = unit
% 173.84/26.50 | | | | | | | | | | | | | | | |
% 173.84/26.50 | | | | | | | | | | | | | | | | BETA: splitting (852) gives:
% 173.84/26.50 | | | | | | | | | | | | | | | |
% 173.84/26.50 | | | | | | | | | | | | | | | | Case 1:
% 173.84/26.50 | | | | | | | | | | | | | | | | |
% 173.84/26.50 | | | | | | | | | | | | | | | | | (8431) unit = e2
% 173.84/26.50 | | | | | | | | | | | | | | | | |
% 173.84/26.50 | | | | | | | | | | | | | | | | | REDUCE: (8426), (8431) imply:
% 173.84/26.50 | | | | | | | | | | | | | | | | | (8432) $false
% 173.84/26.50 | | | | | | | | | | | | | | | | |
% 173.84/26.50 | | | | | | | | | | | | | | | | | CLOSE: (8432) is inconsistent.
% 173.84/26.50 | | | | | | | | | | | | | | | | |
% 173.84/26.50 | | | | | | | | | | | | | | | | Case 2:
% 173.84/26.50 | | | | | | | | | | | | | | | | |
% 173.84/26.50 | | | | | | | | | | | | | | | | | (8433) unit = e1 | unit = e0
% 173.84/26.50 | | | | | | | | | | | | | | | | |
% 173.84/26.50 | | | | | | | | | | | | | | | | | BETA: splitting (8433) gives:
% 173.84/26.50 | | | | | | | | | | | | | | | | |
% 173.84/26.50 | | | | | | | | | | | | | | | | | Case 1:
% 173.84/26.50 | | | | | | | | | | | | | | | | | |
% 173.84/26.50 | | | | | | | | | | | | | | | | | | (8434) unit = e1
% 173.84/26.50 | | | | | | | | | | | | | | | | | |
% 173.84/26.50 | | | | | | | | | | | | | | | | | | REDUCE: (8422), (8434) imply:
% 173.84/26.50 | | | | | | | | | | | | | | | | | | (8435) ~ (all_61_2 = e1)
% 173.84/26.50 | | | | | | | | | | | | | | | | | |
% 173.84/26.50 | | | | | | | | | | | | | | | | | | REDUCE: (8423), (8434) imply:
% 173.84/26.50 | | | | | | | | | | | | | | | | | | (8436) ~ (all_61_8 = e1)
% 173.84/26.50 | | | | | | | | | | | | | | | | | |
% 173.84/26.50 | | | | | | | | | | | | | | | | | | REDUCE: (8424), (8434) imply:
% 173.84/26.50 | | | | | | | | | | | | | | | | | | (8437) ~ (all_61_14 = e1)
% 173.84/26.50 | | | | | | | | | | | | | | | | | |
% 173.84/26.50 | | | | | | | | | | | | | | | | | | REDUCE: (8425), (8434) imply:
% 173.84/26.50 | | | | | | | | | | | | | | | | | | (8438) ~ (all_20_1 = e1)
% 173.84/26.50 | | | | | | | | | | | | | | | | | |
% 173.84/26.50 | | | | | | | | | | | | | | | | | | REDUCE: (8428), (8434) imply:
% 173.84/26.50 | | | | | | | | | | | | | | | | | | (8439) op(e1, e3) = all_65_36
% 173.84/26.50 | | | | | | | | | | | | | | | | | |
% 173.84/26.50 | | | | | | | | | | | | | | | | | | REDUCE: (8429), (8434) imply:
% 173.84/26.50 | | | | | | | | | | | | | | | | | | (8440) op(e3, e1) = all_65_18
% 173.84/26.50 | | | | | | | | | | | | | | | | | |
% 173.84/26.50 | | | | | | | | | | | | | | | | | | REDUCE: (8430), (8434) imply:
% 173.84/26.50 | | | | | | | | | | | | | | | | | | (8441) op(e1, e2) = e1
% 173.84/26.50 | | | | | | | | | | | | | | | | | |
% 173.84/26.50 | | | | | | | | | | | | | | | | | | BETA: splitting (264) gives:
% 173.84/26.50 | | | | | | | | | | | | | | | | | |
% 173.84/26.50 | | | | | | | | | | | | | | | | | | Case 1:
% 173.84/26.50 | | | | | | | | | | | | | | | | | | |
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | (8442) all_63_7 = e3
% 173.84/26.50 | | | | | | | | | | | | | | | | | | |
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7745), (8442) imply:
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | (8443) all_20_1 = e3
% 173.84/26.50 | | | | | | | | | | | | | | | | | | |
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8090), (8443) imply:
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | (8444) all_38_1 = e3
% 173.84/26.50 | | | | | | | | | | | | | | | | | | |
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | REDUCE: (7757), (8443) imply:
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | (8445) op(e3, e1) = all_65_67
% 173.84/26.50 | | | | | | | | | | | | | | | | | | |
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | REDUCE: (8295), (8443) imply:
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | (8446) op(e3, all_61_4) = e3
% 173.84/26.50 | | | | | | | | | | | | | | | | | | |
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | REDUCE: (8296), (8443) imply:
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | (8447) op(e3, e3) = all_65_57
% 173.84/26.50 | | | | | | | | | | | | | | | | | | |
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | BETA: splitting (263) gives:
% 173.84/26.50 | | | | | | | | | | | | | | | | | | |
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | Case 1:
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | |
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | (8448) all_63_8 = e3
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | |
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (499), (8448) imply:
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | (8449) all_61_2 = e3
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | |
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | REDUCE: (208), (8449) imply:
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | (8450) ~ (all_61_14 = e3)
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | |
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | SIMP: (8450) implies:
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | (8451) ~ (all_61_14 = e3)
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | |
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | REDUCE: (8292), (8449) imply:
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | (8452) op(e3, e2) = all_65_36
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | |
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | REDUCE: (668), (8449) imply:
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | (8453) op(e3, e1) = all_65_34
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | |
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | BETA: splitting (269) gives:
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | |
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | |
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | (8454) all_63_2 = e3
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | |
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (489), (8454) imply:
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | (8455) all_61_8 = e3
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | |
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | REDUCE: (201), (8455) imply:
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | (8456) ~ (all_61_4 = e3)
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | |
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | REDUCE: (8252), (8455) imply:
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | (8457) ~ (all_36_1 = e3)
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | |
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | SIMP: (8457) implies:
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | (8458) ~ (all_36_1 = e3)
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | |
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | REDUCE: (642), (8455) imply:
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | (8459) op(e3, e3) = all_65_8
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | |
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | REDUCE: (8293), (8455) imply:
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | (8460) op(e3, e2) = all_65_18
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | |
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | REDUCE: (734), (8455) imply:
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | (8461) op(e1, e3) = all_65_34
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | |
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (259) gives:
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | |
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | |
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | (8462) all_63_12 = e3
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | |
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8249), (8458), (8462) are inconsistent by
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | sub-proof #279.
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | |
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | |
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | (8463) all_63_12 = e2 | all_63_12 = e1 | all_63_12 = e0
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | |
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8085) gives:
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | |
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | |
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | (8464) ~ (all_38_1 = e3)
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | |
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8444), (8464) imply:
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | (8465) $false
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | |
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (8465) is inconsistent.
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | |
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | |
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | (8466) ~ (all_38_0 = e1) & op(e3, e2) = all_38_0 &
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | $i(all_38_0)
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | |
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8466) implies:
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | (8467) op(e3, e2) = all_38_0
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | |
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8463) gives:
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | |
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | |
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | (8468) all_63_12 = e2
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | |
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8249), (8468) imply:
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | (8469) all_36_1 = e2
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | |
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8469) implies:
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | (8470) all_36_1 = e2
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | |
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8254), (8470) imply:
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | (8471) $false
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | |
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (8471) is inconsistent.
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | |
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | |
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | (8472) all_63_12 = e1 | all_63_12 = e0
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | |
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8472) gives:
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | |
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | (8473) all_63_12 = e1
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8249), (8473) imply:
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | (8474) all_36_1 = e1
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8474) implies:
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | (8475) all_36_1 = e1
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8248), (8475) imply:
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | (8476) all_44_1 = e1
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8277), (8475) imply:
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | (8477) ~ (all_61_4 = e1)
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8294), (8475) imply:
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | (8478) op(e1, e2) = all_65_57
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8232) gives:
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | (8479) ~ (all_44_1 = e1)
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8476), (8479) imply:
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | (8480) $false
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (8480) is inconsistent.
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | (8481) ~ (all_44_0 = e2) & op(e1, e3) = all_44_0 &
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_44_0)
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8481) implies:
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | (8482) op(e1, e3) = all_44_0
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (270) gives:
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8483) all_63_1 = e3
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (488), (8483) imply:
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8484) all_61_4 = e3
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8456), (8484) imply:
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8485) $false
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (8485) is inconsistent.
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8486) all_63_1 = e2 | all_63_1 = e1 | all_63_1 = e0
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8486) gives:
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8487) all_63_1 = e2
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (488), (8487) imply:
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8488) all_61_4 = e2
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8446), (8488) imply:
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8489) op(e3, e2) = e3
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (237), (8488) imply:
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8490) op(e3, e2) = e2
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8286), (8488) imply:
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8491) op(e1, e2) = all_65_36
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_57, all_65_36, e2,
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, simplifying with (8478), (8491) gives:
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8492) all_65_36 = all_65_57
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e1, all_65_36, e2, e1,
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (8441), (8491) gives:
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8493) all_65_36 = e1
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_36, all_65_34, e3,
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, simplifying with (8439), (8461) gives:
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8494) all_65_34 = all_65_36
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_44_0, all_65_34, e3,
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, simplifying with (8461), (8482) gives:
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8495) all_65_34 = all_44_0
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_67, all_65_34, e1,
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, simplifying with (8445), (8453) gives:
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8496) all_65_34 = all_65_67
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_34, all_65_18, e1,
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, simplifying with (8440), (8453) gives:
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8497) all_65_18 = all_65_34
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e2, all_38_0, e2, e3,
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (8467), (8490) gives:
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8498) all_38_0 = e2
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_38_0, all_65_36, e2,
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, simplifying with (8452), (8467) gives:
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8499) all_65_36 = all_38_0
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e3, all_65_18, e2, e3,
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (8460), (8489) gives:
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8500) all_65_18 = e3
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e0, all_65_8, e3, e3,
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (8224), (8459) gives:
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8501) all_65_8 = e0
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_57, all_65_8, e3,
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, simplifying with (8447), (8459) gives:
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8502) all_65_8 = all_65_57
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8501), (8502) imply:
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8503) all_65_57 = e0
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8497), (8500) imply:
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8504) all_65_34 = e3
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8504) implies:
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8505) all_65_34 = e3
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8494), (8496) imply:
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8506) all_65_36 = all_65_67
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8494), (8505) imply:
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8507) all_65_36 = e3
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8494), (8495) imply:
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8508) all_65_36 = all_44_0
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8492), (8506) imply:
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8509) all_65_57 = all_65_67
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8509) implies:
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8510) all_65_57 = all_65_67
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8506), (8507) imply:
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8511) all_65_67 = e3
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8506), (8508) imply:
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8512) all_65_67 = all_44_0
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8493), (8506) imply:
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8513) all_65_67 = e1
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8499), (8506) imply:
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8514) all_65_67 = all_38_0
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8503), (8510) imply:
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8515) all_65_67 = e0
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8515) implies:
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8516) all_65_67 = e0
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8512), (8513) imply:
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8517) all_44_0 = e1
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8512), (8514) imply:
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8518) all_44_0 = all_38_0
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8511), (8512) imply:
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8519) all_44_0 = e3
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8512), (8516) imply:
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8520) all_44_0 = e0
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8519), (8520) imply:
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8521) e3 = e0
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8517), (8519) imply:
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8522) e3 = e1
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8518), (8519) imply:
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8523) all_38_0 = e3
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8523) implies:
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8524) all_38_0 = e3
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8498), (8524) imply:
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8525) e3 = e2
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8522), (8525) imply:
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8526) e2 = e1
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8521), (8525) imply:
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8527) e2 = e0
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (8526), (8527) are inconsistent by sub-proof
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #403.
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8528) all_63_1 = e1 | all_63_1 = e0
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (488), (8278), (8477), (8528) are inconsistent by
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #486.
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | (8529) all_63_12 = e0
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8249), (8529) imply:
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | (8530) all_36_1 = e0
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8530) implies:
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | (8531) all_36_1 = e0
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8255), (8531) imply:
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | (8532) $false
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (8532) is inconsistent.
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | |
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | |
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | |
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | End of split
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | |
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | |
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | (8533) all_63_2 = e2 | all_63_2 = e1 | all_63_2 = e0
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | |
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (257), (489), (5773), (5776), (8099), (8101),
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | (8436), (8437), (8451), (8533) are inconsistent by
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | | sub-proof #266.
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | |
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | End of split
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | |
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | Case 2:
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | |
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | (8534) all_63_8 = e2 | all_63_8 = e1 | all_63_8 = e0
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | |
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (499), (5772), (8218), (8435), (8534) are
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #386.
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | |
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | End of split
% 173.84/26.50 | | | | | | | | | | | | | | | | | | |
% 173.84/26.50 | | | | | | | | | | | | | | | | | | Case 2:
% 173.84/26.50 | | | | | | | | | | | | | | | | | | |
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | (8535) ~ (all_63_7 = e3)
% 173.84/26.50 | | | | | | | | | | | | | | | | | | |
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | REDUCE: (7745), (8535) imply:
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | (8536) ~ (all_20_1 = e3)
% 173.84/26.50 | | | | | | | | | | | | | | | | | | |
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (258), (7744), (7754), (8072), (8438), (8536) are
% 173.84/26.50 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #379.
% 173.84/26.50 | | | | | | | | | | | | | | | | | | |
% 173.84/26.50 | | | | | | | | | | | | | | | | | | End of split
% 173.84/26.50 | | | | | | | | | | | | | | | | | |
% 173.84/26.50 | | | | | | | | | | | | | | | | | Case 2:
% 173.84/26.50 | | | | | | | | | | | | | | | | | |
% 173.84/26.50 | | | | | | | | | | | | | | | | | | (8537) ~ (unit = e1)
% 173.84/26.50 | | | | | | | | | | | | | | | | | |
% 173.84/26.50 | | | | | | | | | | | | | | | | | | REF_CLOSE: (8427), (8433), (8537) are inconsistent by
% 173.84/26.50 | | | | | | | | | | | | | | | | | | sub-proof #419.
% 173.84/26.50 | | | | | | | | | | | | | | | | | |
% 173.84/26.50 | | | | | | | | | | | | | | | | | End of split
% 173.84/26.50 | | | | | | | | | | | | | | | | |
% 173.84/26.50 | | | | | | | | | | | | | | | | End of split
% 173.84/26.50 | | | | | | | | | | | | | | | |
% 173.84/26.50 | | | | | | | | | | | | | | | End of split
% 173.84/26.50 | | | | | | | | | | | | | | |
% 173.84/26.50 | | | | | | | | | | | | | | Case 2:
% 173.84/26.50 | | | | | | | | | | | | | | |
% 173.84/26.50 | | | | | | | | | | | | | | | (8538) all_58_2 = e0
% 173.84/26.50 | | | | | | | | | | | | | | |
% 173.84/26.50 | | | | | | | | | | | | | | | REF_CLOSE: (7), (50), (227), (478), (748), (7765), (8073),
% 173.84/26.50 | | | | | | | | | | | | | | | (8538) are inconsistent by sub-proof #243.
% 173.84/26.50 | | | | | | | | | | | | | | |
% 173.84/26.50 | | | | | | | | | | | | | | End of split
% 173.84/26.50 | | | | | | | | | | | | | |
% 173.84/26.51 | | | | | | | | | | | | | End of split
% 173.84/26.51 | | | | | | | | | | | | |
% 173.84/26.51 | | | | | | | | | | | | End of split
% 173.84/26.51 | | | | | | | | | | | |
% 173.84/26.51 | | | | | | | | | | | End of split
% 173.84/26.51 | | | | | | | | | | |
% 173.84/26.51 | | | | | | | | | | End of split
% 173.84/26.51 | | | | | | | | | |
% 173.84/26.51 | | | | | | | | | End of split
% 173.84/26.51 | | | | | | | | |
% 173.84/26.51 | | | | | | | | Case 2:
% 173.84/26.51 | | | | | | | | |
% 173.84/26.51 | | | | | | | | | (8539) all_14_2 = e2
% 173.84/26.51 | | | | | | | | | (8540) op(e3, e2) = all_14_1 & $i(all_14_1) & ( ~ (all_14_1
% 173.84/26.51 | | | | | | | | | = e0) | ( ~ (all_14_0 = e1) & op(e0, e3) =
% 173.84/26.51 | | | | | | | | | all_14_0 & $i(all_14_0)))
% 173.84/26.51 | | | | | | | | |
% 173.84/26.51 | | | | | | | | | ALPHA: (8540) implies:
% 173.84/26.51 | | | | | | | | | (8541) op(e3, e2) = all_14_1
% 173.84/26.51 | | | | | | | | |
% 173.84/26.51 | | | | | | | | | COMBINE_EQS: (561), (8539) imply:
% 173.84/26.51 | | | | | | | | | (8542) all_26_2 = e2
% 173.84/26.51 | | | | | | | | |
% 173.84/26.51 | | | | | | | | | REDUCE: (597), (8539) imply:
% 173.84/26.51 | | | | | | | | | (8543) ~ (all_61_3 = e2)
% 173.84/26.51 | | | | | | | | |
% 173.84/26.51 | | | | | | | | | REDUCE: (599), (8539) imply:
% 173.84/26.51 | | | | | | | | | (8544) ~ (all_61_4 = e2)
% 173.84/26.51 | | | | | | | | |
% 173.84/26.51 | | | | | | | | | REDUCE: (603), (8539) imply:
% 173.84/26.51 | | | | | | | | | (8545) ~ (all_61_12 = e2)
% 173.84/26.51 | | | | | | | | |
% 173.84/26.51 | | | | | | | | | REDUCE: (634), (8539) imply:
% 173.84/26.51 | | | | | | | | | (8546) op(e2, e3) = all_65_0
% 173.84/26.51 | | | | | | | | |
% 173.84/26.51 | | | | | | | | | REDUCE: (635), (8539) imply:
% 173.84/26.51 | | | | | | | | | (8547) op(e2, e2) = all_65_1
% 173.84/26.51 | | | | | | | | |
% 173.84/26.51 | | | | | | | | | REDUCE: (636), (8539) imply:
% 173.84/26.51 | | | | | | | | | (8548) op(e2, e1) = all_65_2
% 173.84/26.51 | | | | | | | | |
% 173.84/26.51 | | | | | | | | | REDUCE: (637), (8539) imply:
% 173.84/26.51 | | | | | | | | | (8549) op(e2, e0) = all_65_3
% 173.84/26.51 | | | | | | | | |
% 173.84/26.51 | | | | | | | | | REDUCE: (698), (8539) imply:
% 173.84/26.51 | | | | | | | | | (8550) op(e3, e2) = all_65_0
% 173.84/26.51 | | | | | | | | |
% 173.84/26.51 | | | | | | | | | REDUCE: (67), (8539) imply:
% 173.84/26.51 | | | | | | | | | (8551) op(e3, e3) = e2
% 173.84/26.51 | | | | | | | | |
% 173.84/26.51 | | | | | | | | | REDUCE: (715), (8539) imply:
% 173.84/26.51 | | | | | | | | | (8552) op(e2, e2) = all_65_16
% 173.84/26.51 | | | | | | | | |
% 173.84/26.51 | | | | | | | | | REDUCE: (732), (8539) imply:
% 173.84/26.51 | | | | | | | | | (8553) op(e1, e2) = all_65_32
% 173.84/26.51 | | | | | | | | |
% 173.84/26.51 | | | | | | | | | REDUCE: (749), (8539) imply:
% 173.84/26.51 | | | | | | | | | (8554) op(e0, e2) = all_65_49
% 173.84/26.51 | | | | | | | | |
% 173.84/26.51 | | | | | | | | | BETA: splitting (86) gives:
% 173.84/26.51 | | | | | | | | |
% 173.84/26.51 | | | | | | | | | Case 1:
% 173.84/26.51 | | | | | | | | | |
% 173.84/26.51 | | | | | | | | | | (8555) ~ (all_26_2 = e2)
% 173.84/26.51 | | | | | | | | | |
% 173.84/26.51 | | | | | | | | | | REDUCE: (8542), (8555) imply:
% 173.84/26.51 | | | | | | | | | | (8556) $false
% 173.84/26.51 | | | | | | | | | |
% 173.84/26.51 | | | | | | | | | | CLOSE: (8556) is inconsistent.
% 173.84/26.51 | | | | | | | | | |
% 173.84/26.51 | | | | | | | | | Case 2:
% 173.84/26.51 | | | | | | | | | |
% 173.84/26.51 | | | | | | | | | | (8557) op(e3, e2) = all_26_1 & $i(all_26_1) & ( ~
% 173.84/26.51 | | | | | | | | | | (all_26_1 = e1) | ( ~ (all_26_0 = e0) & op(e1,
% 173.84/26.51 | | | | | | | | | | e3) = all_26_0 & $i(all_26_0)))
% 173.84/26.51 | | | | | | | | | |
% 173.84/26.51 | | | | | | | | | | ALPHA: (8557) implies:
% 173.84/26.51 | | | | | | | | | | (8558) op(e3, e2) = all_26_1
% 173.84/26.51 | | | | | | | | | | (8559) ~ (all_26_1 = e1) | ( ~ (all_26_0 = e0) & op(e1,
% 173.84/26.51 | | | | | | | | | | e3) = all_26_0 & $i(all_26_0))
% 173.84/26.51 | | | | | | | | | |
% 173.84/26.51 | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_7, all_65_49, e2,
% 173.84/26.51 | | | | | | | | | | e0, simplifying with (225), (8554) gives:
% 173.84/26.51 | | | | | | | | | | (8560) all_65_49 = all_61_7
% 173.84/26.51 | | | | | | | | | |
% 173.84/26.51 | | | | | | | | | | GROUND_INST: instantiating (50) with all_10_1, all_65_32, e2,
% 173.84/26.51 | | | | | | | | | | e1, simplifying with (5768), (8553) gives:
% 173.84/26.51 | | | | | | | | | | (8561) all_65_32 = all_10_1
% 173.84/26.51 | | | | | | | | | |
% 173.84/26.51 | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_13, all_65_3, e0,
% 173.84/26.51 | | | | | | | | | | e2, simplifying with (231), (8549) gives:
% 173.84/26.51 | | | | | | | | | | (8562) all_65_3 = all_61_13
% 173.84/26.51 | | | | | | | | | |
% 173.84/26.51 | | | | | | | | | | GROUND_INST: instantiating (50) with all_10_1, all_65_2, e1,
% 173.84/26.51 | | | | | | | | | | e2, simplifying with (5838), (8548) gives:
% 173.84/26.51 | | | | | | | | | | (8563) all_65_2 = all_10_1
% 173.84/26.51 | | | | | | | | | |
% 173.84/26.51 | | | | | | | | | | GROUND_INST: instantiating (50) with all_6_2, all_65_1, e2, e2,
% 173.84/26.51 | | | | | | | | | | simplifying with (55), (8547) gives:
% 173.84/26.51 | | | | | | | | | | (8564) all_65_1 = all_6_2
% 173.84/26.51 | | | | | | | | | |
% 173.84/26.51 | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_16, all_65_1, e2,
% 173.84/26.51 | | | | | | | | | | e2, simplifying with (8547), (8552) gives:
% 173.84/26.51 | | | | | | | | | | (8565) all_65_1 = all_65_16
% 173.84/26.51 | | | | | | | | | |
% 173.84/26.51 | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_1, all_65_0, e3,
% 173.84/26.51 | | | | | | | | | | e2, simplifying with (234), (8546) gives:
% 173.84/26.51 | | | | | | | | | | (8566) all_65_0 = all_61_1
% 173.84/26.51 | | | | | | | | | |
% 173.84/26.51 | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_4, all_26_1, e2,
% 173.84/26.51 | | | | | | | | | | e3, simplifying with (237), (8558) gives:
% 173.84/26.51 | | | | | | | | | | (8567) all_61_4 = all_26_1
% 173.84/26.51 | | | | | | | | | |
% 173.84/26.51 | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_4, all_65_0, e2,
% 173.84/26.51 | | | | | | | | | | e3, simplifying with (237), (8550) gives:
% 173.84/26.51 | | | | | | | | | | (8568) all_65_0 = all_61_4
% 173.84/26.51 | | | | | | | | | |
% 173.84/26.51 | | | | | | | | | | GROUND_INST: instantiating (50) with all_14_1, all_65_0, e2,
% 173.84/26.51 | | | | | | | | | | e3, simplifying with (8541), (8550) gives:
% 173.84/26.51 | | | | | | | | | | (8569) all_65_0 = all_14_1
% 173.84/26.51 | | | | | | | | | |
% 173.84/26.51 | | | | | | | | | | COMBINE_EQS: (8568), (8569) imply:
% 173.84/26.51 | | | | | | | | | | (8570) all_61_4 = all_14_1
% 173.84/26.51 | | | | | | | | | |
% 173.84/26.51 | | | | | | | | | | SIMP: (8570) implies:
% 173.84/26.51 | | | | | | | | | | (8571) all_61_4 = all_14_1
% 173.84/26.51 | | | | | | | | | |
% 173.84/26.51 | | | | | | | | | | COMBINE_EQS: (8566), (8569) imply:
% 173.84/26.51 | | | | | | | | | | (8572) all_61_1 = all_14_1
% 173.84/26.51 | | | | | | | | | |
% 173.84/26.51 | | | | | | | | | | SIMP: (8572) implies:
% 173.90/26.51 | | | | | | | | | | (8573) all_61_1 = all_14_1
% 173.90/26.51 | | | | | | | | | |
% 173.90/26.51 | | | | | | | | | | COMBINE_EQS: (8564), (8565) imply:
% 173.90/26.51 | | | | | | | | | | (8574) all_65_16 = all_6_2
% 173.90/26.51 | | | | | | | | | |
% 173.90/26.51 | | | | | | | | | | SIMP: (8574) implies:
% 173.90/26.51 | | | | | | | | | | (8575) all_65_16 = all_6_2
% 173.90/26.51 | | | | | | | | | |
% 173.90/26.51 | | | | | | | | | | COMBINE_EQS: (8567), (8571) imply:
% 173.90/26.51 | | | | | | | | | | (8576) all_26_1 = all_14_1
% 173.90/26.51 | | | | | | | | | |
% 173.90/26.51 | | | | | | | | | | COMBINE_EQS: (493), (8573) imply:
% 173.90/26.51 | | | | | | | | | | (8577) all_63_4 = all_14_1
% 173.90/26.51 | | | | | | | | | |
% 173.90/26.51 | | | | | | | | | | COMBINE_EQS: (488), (8571) imply:
% 173.90/26.51 | | | | | | | | | | (8578) all_63_1 = all_14_1
% 173.90/26.51 | | | | | | | | | |
% 173.90/26.51 | | | | | | | | | | REDUCE: (216), (8573) imply:
% 173.90/26.51 | | | | | | | | | | (8579) ~ (all_61_2 = all_14_1)
% 173.90/26.51 | | | | | | | | | |
% 173.90/26.51 | | | | | | | | | | SIMP: (8579) implies:
% 173.90/26.51 | | | | | | | | | | (8580) ~ (all_61_2 = all_14_1)
% 173.90/26.51 | | | | | | | | | |
% 173.90/26.51 | | | | | | | | | | REDUCE: (215), (8573) imply:
% 173.90/26.51 | | | | | | | | | | (8581) ~ (all_61_3 = all_14_1)
% 173.90/26.51 | | | | | | | | | |
% 173.90/26.51 | | | | | | | | | | SIMP: (8581) implies:
% 173.90/26.51 | | | | | | | | | | (8582) ~ (all_61_3 = all_14_1)
% 173.90/26.51 | | | | | | | | | |
% 173.90/26.51 | | | | | | | | | | REDUCE: (212), (8573) imply:
% 173.90/26.51 | | | | | | | | | | (8583) ~ (all_61_13 = all_14_1)
% 173.90/26.51 | | | | | | | | | |
% 173.90/26.51 | | | | | | | | | | SIMP: (8583) implies:
% 173.90/26.51 | | | | | | | | | | (8584) ~ (all_61_13 = all_14_1)
% 173.90/26.51 | | | | | | | | | |
% 173.90/26.51 | | | | | | | | | | REDUCE: (201), (8571) imply:
% 173.90/26.51 | | | | | | | | | | (8585) ~ (all_61_8 = all_14_1)
% 173.90/26.51 | | | | | | | | | |
% 173.90/26.51 | | | | | | | | | | SIMP: (8585) implies:
% 173.90/26.51 | | | | | | | | | | (8586) ~ (all_61_8 = all_14_1)
% 173.90/26.51 | | | | | | | | | |
% 173.90/26.51 | | | | | | | | | | REDUCE: (200), (8571) imply:
% 173.90/26.51 | | | | | | | | | | (8587) ~ (all_61_12 = all_14_1)
% 173.90/26.51 | | | | | | | | | |
% 173.90/26.51 | | | | | | | | | | SIMP: (8587) implies:
% 173.90/26.51 | | | | | | | | | | (8588) ~ (all_61_12 = all_14_1)
% 173.90/26.51 | | | | | | | | | |
% 173.90/26.51 | | | | | | | | | | REDUCE: (5812), (8571) imply:
% 173.90/26.51 | | | | | | | | | | (8589) ~ (all_14_1 = all_10_1)
% 173.90/26.51 | | | | | | | | | |
% 173.90/26.51 | | | | | | | | | | REDUCE: (607), (8571) imply:
% 173.90/26.51 | | | | | | | | | | (8590) ~ (all_14_1 = all_6_2)
% 173.90/26.51 | | | | | | | | | |
% 173.90/26.51 | | | | | | | | | | REDUCE: (8544), (8571) imply:
% 173.90/26.51 | | | | | | | | | | (8591) ~ (all_14_1 = e2)
% 173.90/26.51 | | | | | | | | | |
% 173.90/26.51 | | | | | | | | | | REDUCE: (650), (8573), (8575) imply:
% 173.90/26.51 | | | | | | | | | | (8592) op(all_14_1, e3) = all_6_2
% 173.90/26.51 | | | | | | | | | |
% 173.90/26.51 | | | | | | | | | | REDUCE: (651), (8573) imply:
% 173.90/26.51 | | | | | | | | | | (8593) op(all_14_1, e2) = all_65_17
% 173.90/26.51 | | | | | | | | | |
% 173.90/26.51 | | | | | | | | | | REDUCE: (653), (8573) imply:
% 173.90/26.51 | | | | | | | | | | (8594) op(all_14_1, e0) = all_65_19
% 173.90/26.51 | | | | | | | | | |
% 173.90/26.51 | | | | | | | | | | REDUCE: (666), (8561) imply:
% 173.90/26.51 | | | | | | | | | | (8595) op(all_61_2, e3) = all_10_1
% 173.90/26.51 | | | | | | | | | |
% 173.90/26.51 | | | | | | | | | | REDUCE: (682), (8560) imply:
% 173.90/26.51 | | | | | | | | | | (8596) op(all_61_3, e3) = all_61_7
% 173.90/26.51 | | | | | | | | | |
% 173.90/26.51 | | | | | | | | | | REDUCE: (638), (8571) imply:
% 173.90/26.51 | | | | | | | | | | (8597) op(all_14_1, e3) = all_65_4
% 173.90/26.51 | | | | | | | | | |
% 173.90/26.51 | | | | | | | | | | REDUCE: (639), (8571) imply:
% 173.90/26.51 | | | | | | | | | | (8598) op(all_14_1, e2) = all_65_5
% 173.90/26.51 | | | | | | | | | |
% 173.90/26.51 | | | | | | | | | | REDUCE: (641), (8571) imply:
% 173.90/26.51 | | | | | | | | | | (8599) op(all_14_1, e0) = all_65_7
% 173.90/26.51 | | | | | | | | | |
% 173.90/26.51 | | | | | | | | | | REDUCE: (5828), (8571) imply:
% 173.90/26.51 | | | | | | | | | | (8600) op(all_61_8, e1) = all_14_1
% 173.90/26.51 | | | | | | | | | |
% 173.90/26.51 | | | | | | | | | | REDUCE: (702), (8573) imply:
% 173.90/26.51 | | | | | | | | | | (8601) op(e3, all_14_1) = all_65_4
% 173.90/26.51 | | | | | | | | | |
% 173.90/26.51 | | | | | | | | | | REDUCE: (701), (8562) imply:
% 173.90/26.51 | | | | | | | | | | (8602) op(e3, all_61_12) = all_61_13
% 173.90/26.51 | | | | | | | | | |
% 173.90/26.51 | | | | | | | | | | REDUCE: (719), (8573) imply:
% 173.90/26.51 | | | | | | | | | | (8603) op(e2, all_14_1) = all_65_20
% 173.90/26.51 | | | | | | | | | |
% 173.90/26.51 | | | | | | | | | | REDUCE: (716), (8571) imply:
% 173.90/26.51 | | | | | | | | | | (8604) op(e2, all_14_1) = all_65_17
% 173.90/26.51 | | | | | | | | | |
% 173.90/26.51 | | | | | | | | | | REDUCE: (753), (8573) imply:
% 173.90/26.51 | | | | | | | | | | (8605) op(e0, all_14_1) = all_65_57
% 173.90/26.51 | | | | | | | | | |
% 173.90/26.51 | | | | | | | | | | REDUCE: (750), (8571) imply:
% 173.90/26.51 | | | | | | | | | | (8606) op(e0, all_14_1) = all_65_51
% 173.90/26.51 | | | | | | | | | |
% 173.90/26.51 | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_57, all_65_51,
% 173.90/26.51 | | | | | | | | | | all_14_1, e0, simplifying with (8605), (8606)
% 173.90/26.51 | | | | | | | | | | gives:
% 173.90/26.51 | | | | | | | | | | (8607) all_65_51 = all_65_57
% 173.90/26.51 | | | | | | | | | |
% 173.90/26.51 | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_20, all_65_17,
% 173.90/26.51 | | | | | | | | | | all_14_1, e2, simplifying with (8603), (8604)
% 173.90/26.51 | | | | | | | | | | gives:
% 173.90/26.51 | | | | | | | | | | (8608) all_65_17 = all_65_20
% 173.90/26.51 | | | | | | | | | |
% 173.90/26.51 | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_19, all_65_7, e0,
% 173.90/26.51 | | | | | | | | | | all_14_1, simplifying with (8594), (8599) gives:
% 173.90/26.51 | | | | | | | | | | (8609) all_65_7 = all_65_19
% 173.90/26.51 | | | | | | | | | |
% 173.90/26.51 | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_17, all_65_5, e2,
% 173.90/26.51 | | | | | | | | | | all_14_1, simplifying with (8593), (8598) gives:
% 173.90/26.51 | | | | | | | | | | (8610) all_65_5 = all_65_17
% 173.90/26.51 | | | | | | | | | |
% 173.90/26.51 | | | | | | | | | | GROUND_INST: instantiating (50) with all_6_2, all_65_4, e3,
% 173.90/26.51 | | | | | | | | | | all_14_1, simplifying with (8592), (8597) gives:
% 173.90/26.51 | | | | | | | | | | (8611) all_65_4 = all_6_2
% 173.90/26.51 | | | | | | | | | |
% 173.90/26.51 | | | | | | | | | | COMBINE_EQS: (8608), (8610) imply:
% 173.90/26.51 | | | | | | | | | | (8612) all_65_5 = all_65_20
% 173.90/26.51 | | | | | | | | | |
% 173.90/26.51 | | | | | | | | | | REDUCE: (683), (8607) imply:
% 173.90/26.51 | | | | | | | | | | (8613) op(all_61_3, e2) = all_65_57
% 173.90/26.51 | | | | | | | | | |
% 173.90/26.51 | | | | | | | | | | REDUCE: (705), (8609) imply:
% 173.90/26.51 | | | | | | | | | | (8614) op(e3, all_61_13) = all_65_19
% 173.90/26.51 | | | | | | | | | |
% 173.90/26.51 | | | | | | | | | | REDUCE: (8601), (8611) imply:
% 173.90/26.51 | | | | | | | | | | (8615) op(e3, all_14_1) = all_6_2
% 173.90/26.51 | | | | | | | | | |
% 173.90/26.51 | | | | | | | | | | REDUCE: (703), (8612) imply:
% 173.90/26.51 | | | | | | | | | | (8616) op(e3, all_6_2) = all_65_20
% 173.90/26.51 | | | | | | | | | |
% 173.90/26.51 | | | | | | | | | | BETA: splitting (77) gives:
% 173.90/26.51 | | | | | | | | | |
% 173.90/26.51 | | | | | | | | | | Case 1:
% 173.90/26.51 | | | | | | | | | | |
% 173.90/26.51 | | | | | | | | | | | (8617) ~ (all_20_2 = e2)
% 173.90/26.51 | | | | | | | | | | |
% 173.90/26.51 | | | | | | | | | | | BETA: splitting (80) gives:
% 173.90/26.51 | | | | | | | | | | |
% 173.90/26.51 | | | | | | | | | | | Case 1:
% 173.90/26.51 | | | | | | | | | | | |
% 173.90/26.51 | | | | | | | | | | | | (8618) ~ (all_22_2 = e0)
% 173.90/26.51 | | | | | | | | | | | |
% 173.90/26.51 | | | | | | | | | | | | REDUCE: (449), (8618) imply:
% 173.90/26.51 | | | | | | | | | | | | (8619) ~ (all_6_2 = e0)
% 173.90/26.51 | | | | | | | | | | | |
% 173.90/26.51 | | | | | | | | | | | | BETA: splitting (266) gives:
% 173.90/26.51 | | | | | | | | | | | |
% 173.90/26.51 | | | | | | | | | | | | Case 1:
% 173.90/26.51 | | | | | | | | | | | | |
% 173.90/26.51 | | | | | | | | | | | | | (8620) all_63_5 = e3
% 173.90/26.51 | | | | | | | | | | | | |
% 173.90/26.51 | | | | | | | | | | | | | COMBINE_EQS: (587), (8620) imply:
% 173.90/26.51 | | | | | | | | | | | | | (8621) all_6_2 = e3
% 173.90/26.51 | | | | | | | | | | | | |
% 173.90/26.51 | | | | | | | | | | | | | REDUCE: (767), (8621) imply:
% 173.90/26.51 | | | | | | | | | | | | | (8622) $false
% 173.90/26.51 | | | | | | | | | | | | |
% 173.90/26.51 | | | | | | | | | | | | | CLOSE: (8622) is inconsistent.
% 173.90/26.51 | | | | | | | | | | | | |
% 173.90/26.51 | | | | | | | | | | | | Case 2:
% 173.90/26.51 | | | | | | | | | | | | |
% 173.90/26.51 | | | | | | | | | | | | | (8623) all_63_5 = e2 | all_63_5 = e1 | all_63_5 = e0
% 173.90/26.51 | | | | | | | | | | | | |
% 173.90/26.51 | | | | | | | | | | | | | BETA: splitting (8623) gives:
% 173.90/26.51 | | | | | | | | | | | | |
% 173.90/26.51 | | | | | | | | | | | | | Case 1:
% 173.90/26.51 | | | | | | | | | | | | | |
% 173.90/26.51 | | | | | | | | | | | | | | (8624) all_63_5 = e2
% 173.90/26.51 | | | | | | | | | | | | | |
% 173.90/26.51 | | | | | | | | | | | | | | COMBINE_EQS: (587), (8624) imply:
% 173.90/26.51 | | | | | | | | | | | | | | (8625) all_6_2 = e2
% 173.90/26.51 | | | | | | | | | | | | | |
% 173.90/26.51 | | | | | | | | | | | | | | REDUCE: (611), (8625) imply:
% 173.90/26.51 | | | | | | | | | | | | | | (8626) ~ (all_61_7 = e2)
% 173.90/26.51 | | | | | | | | | | | | | |
% 173.90/26.51 | | | | | | | | | | | | | | REDUCE: (615), (8625) imply:
% 173.90/26.51 | | | | | | | | | | | | | | (8627) ~ (all_61_13 = e2)
% 173.90/26.51 | | | | | | | | | | | | | |
% 173.90/26.51 | | | | | | | | | | | | | | REDUCE: (8592), (8625) imply:
% 173.90/26.51 | | | | | | | | | | | | | | (8628) op(all_14_1, e3) = e2
% 173.90/26.51 | | | | | | | | | | | | | |
% 173.90/26.51 | | | | | | | | | | | | | | REDUCE: (5831), (8625) imply:
% 173.90/26.51 | | | | | | | | | | | | | | (8629) op(all_10_1, e1) = e2
% 173.90/26.51 | | | | | | | | | | | | | |
% 173.90/26.51 | | | | | | | | | | | | | | REDUCE: (5853), (8625) imply:
% 173.90/26.51 | | | | | | | | | | | | | | (8630) op(e2, e1) = all_65_37
% 173.90/26.51 | | | | | | | | | | | | | |
% 173.90/26.51 | | | | | | | | | | | | | | REDUCE: (657), (8625) imply:
% 173.90/26.51 | | | | | | | | | | | | | | (8631) op(e2, e0) = all_65_23
% 173.90/26.51 | | | | | | | | | | | | | |
% 173.90/26.51 | | | | | | | | | | | | | | REDUCE: (8616), (8625) imply:
% 173.90/26.51 | | | | | | | | | | | | | | (8632) op(e3, e2) = all_65_20
% 173.90/26.51 | | | | | | | | | | | | | |
% 173.90/26.51 | | | | | | | | | | | | | | REDUCE: (720), (8625) imply:
% 173.90/26.51 | | | | | | | | | | | | | | (8633) op(e2, e2) = all_65_21
% 173.90/26.51 | | | | | | | | | | | | | |
% 173.90/26.51 | | | | | | | | | | | | | | REDUCE: (55), (8625) imply:
% 173.90/26.51 | | | | | | | | | | | | | | (8634) op(e2, e2) = e2
% 173.90/26.51 | | | | | | | | | | | | | |
% 173.90/26.51 | | | | | | | | | | | | | | REDUCE: (754), (8625) imply:
% 173.90/26.51 | | | | | | | | | | | | | | (8635) op(e0, e2) = all_65_59
% 173.90/26.51 | | | | | | | | | | | | | |
% 173.90/26.51 | | | | | | | | | | | | | | BETA: splitting (172) gives:
% 173.90/26.51 | | | | | | | | | | | | | |
% 173.90/26.51 | | | | | | | | | | | | | | Case 1:
% 173.90/26.51 | | | | | | | | | | | | | | |
% 173.90/26.51 | | | | | | | | | | | | | | | (8636) ( ~ (all_60_0 = e2) & op(e3, e3) = all_60_0 &
% 173.90/26.51 | | | | | | | | | | | | | | | $i(all_60_0)) | ( ~ (all_60_1 = e2) & op(e2, e2)
% 173.90/26.51 | | | | | | | | | | | | | | | = all_60_1 & $i(all_60_1))
% 173.90/26.51 | | | | | | | | | | | | | | |
% 173.90/26.51 | | | | | | | | | | | | | | | REF_CLOSE: (50), (8551), (8633), (8634), (8636) are
% 173.90/26.51 | | | | | | | | | | | | | | | inconsistent by sub-proof #344.
% 173.90/26.51 | | | | | | | | | | | | | | |
% 173.90/26.51 | | | | | | | | | | | | | | Case 2:
% 173.90/26.51 | | | | | | | | | | | | | | |
% 173.90/26.51 | | | | | | | | | | | | | | | (8637) ( ~ (all_60_2 = e2) & op(e1, e1) = all_60_2 &
% 173.90/26.51 | | | | | | | | | | | | | | | $i(all_60_2)) | ( ~ (all_60_3 = e2) & op(e0, e0)
% 173.90/26.51 | | | | | | | | | | | | | | | = all_60_3 & $i(all_60_3))
% 173.90/26.51 | | | | | | | | | | | | | | |
% 173.90/26.51 | | | | | | | | | | | | | | | BETA: splitting (8637) gives:
% 173.90/26.51 | | | | | | | | | | | | | | |
% 173.90/26.51 | | | | | | | | | | | | | | | Case 1:
% 173.90/26.51 | | | | | | | | | | | | | | | |
% 173.90/26.51 | | | | | | | | | | | | | | | | (8638) ~ (all_60_2 = e2) & op(e1, e1) = all_60_2 &
% 173.90/26.51 | | | | | | | | | | | | | | | | $i(all_60_2)
% 173.90/26.51 | | | | | | | | | | | | | | | |
% 173.90/26.51 | | | | | | | | | | | | | | | | ALPHA: (8638) implies:
% 173.90/26.51 | | | | | | | | | | | | | | | | (8639) ~ (all_60_2 = e2)
% 173.90/26.51 | | | | | | | | | | | | | | | | (8640) op(e1, e1) = all_60_2
% 173.90/26.51 | | | | | | | | | | | | | | | |
% 173.90/26.51 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e2, all_60_2, e1, e1,
% 173.90/26.51 | | | | | | | | | | | | | | | | simplifying with (5784), (8640) gives:
% 173.90/26.51 | | | | | | | | | | | | | | | | (8641) all_60_2 = e2
% 173.90/26.51 | | | | | | | | | | | | | | | |
% 173.90/26.51 | | | | | | | | | | | | | | | | REDUCE: (8639), (8641) imply:
% 173.90/26.51 | | | | | | | | | | | | | | | | (8642) $false
% 173.90/26.51 | | | | | | | | | | | | | | | |
% 173.90/26.51 | | | | | | | | | | | | | | | | CLOSE: (8642) is inconsistent.
% 173.90/26.51 | | | | | | | | | | | | | | | |
% 173.90/26.51 | | | | | | | | | | | | | | | Case 2:
% 173.90/26.51 | | | | | | | | | | | | | | | |
% 173.90/26.51 | | | | | | | | | | | | | | | | (8643) ~ (all_60_3 = e2) & op(e0, e0) = all_60_3 &
% 173.90/26.51 | | | | | | | | | | | | | | | | $i(all_60_3)
% 173.90/26.51 | | | | | | | | | | | | | | | |
% 173.90/26.51 | | | | | | | | | | | | | | | | ALPHA: (8643) implies:
% 173.90/26.51 | | | | | | | | | | | | | | | | (8644) ~ (all_60_3 = e2)
% 173.90/26.51 | | | | | | | | | | | | | | | | (8645) op(e0, e0) = all_60_3
% 173.90/26.51 | | | | | | | | | | | | | | | |
% 173.90/26.51 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_20_2, all_60_3, e0,
% 173.90/26.51 | | | | | | | | | | | | | | | | e0, simplifying with (76), (8645) gives:
% 173.90/26.51 | | | | | | | | | | | | | | | | (8646) all_60_3 = all_20_2
% 173.90/26.51 | | | | | | | | | | | | | | | |
% 173.90/26.51 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_7, all_65_59, e2,
% 173.90/26.51 | | | | | | | | | | | | | | | | e0, simplifying with (225), (8635) gives:
% 173.90/26.51 | | | | | | | | | | | | | | | | (8647) all_65_59 = all_61_7
% 173.90/26.51 | | | | | | | | | | | | | | | |
% 173.90/26.51 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_13, all_65_23, e0,
% 173.90/26.51 | | | | | | | | | | | | | | | | e2, simplifying with (231), (8631) gives:
% 173.90/26.51 | | | | | | | | | | | | | | | | (8648) all_65_23 = all_61_13
% 173.90/26.51 | | | | | | | | | | | | | | | |
% 173.90/26.51 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_10_1, all_65_37, e1,
% 173.90/26.51 | | | | | | | | | | | | | | | | e2, simplifying with (5838), (8630) gives:
% 173.90/26.51 | | | | | | | | | | | | | | | | (8649) all_65_37 = all_10_1
% 173.90/26.51 | | | | | | | | | | | | | | | |
% 173.90/26.51 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e2, all_65_21, e2, e2,
% 173.90/26.51 | | | | | | | | | | | | | | | | simplifying with (8633), (8634) gives:
% 173.90/26.51 | | | | | | | | | | | | | | | | (8650) all_65_21 = e2
% 173.90/26.51 | | | | | | | | | | | | | | | |
% 173.90/26.51 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_14_1, all_65_20, e2,
% 173.90/26.51 | | | | | | | | | | | | | | | | e3, simplifying with (8541), (8632) gives:
% 173.90/26.51 | | | | | | | | | | | | | | | | (8651) all_65_20 = all_14_1
% 173.90/26.51 | | | | | | | | | | | | | | | |
% 173.90/26.51 | | | | | | | | | | | | | | | | REDUCE: (687), (8647) imply:
% 173.90/26.51 | | | | | | | | | | | | | | | | (8652) op(all_61_7, e2) = all_61_7
% 173.90/26.51 | | | | | | | | | | | | | | | |
% 173.90/26.51 | | | | | | | | | | | | | | | | BETA: splitting (89) gives:
% 173.90/26.51 | | | | | | | | | | | | | | | |
% 173.90/26.51 | | | | | | | | | | | | | | | | Case 1:
% 173.90/26.51 | | | | | | | | | | | | | | | | |
% 173.90/26.51 | | | | | | | | | | | | | | | | | (8653) ~ (all_28_2 = e3)
% 173.90/26.51 | | | | | | | | | | | | | | | | |
% 173.90/26.51 | | | | | | | | | | | | | | | | | REDUCE: (563), (8653) imply:
% 173.90/26.51 | | | | | | | | | | | | | | | | | (8654) ~ (all_20_2 = e3)
% 173.90/26.51 | | | | | | | | | | | | | | | | |
% 173.90/26.51 | | | | | | | | | | | | | | | | | BETA: splitting (110) gives:
% 173.90/26.51 | | | | | | | | | | | | | | | | |
% 173.90/26.51 | | | | | | | | | | | | | | | | | Case 1:
% 173.90/26.51 | | | | | | | | | | | | | | | | | |
% 173.90/26.51 | | | | | | | | | | | | | | | | | | (8655) ~ (all_42_2 = e1)
% 173.90/26.51 | | | | | | | | | | | | | | | | | |
% 173.90/26.51 | | | | | | | | | | | | | | | | | | REDUCE: (532), (8655) imply:
% 173.90/26.51 | | | | | | | | | | | | | | | | | | (8656) ~ (all_20_2 = e1)
% 173.90/26.51 | | | | | | | | | | | | | | | | | |
% 173.90/26.51 | | | | | | | | | | | | | | | | | | BETA: splitting (256) gives:
% 173.90/26.51 | | | | | | | | | | | | | | | | | |
% 173.90/26.51 | | | | | | | | | | | | | | | | | | Case 1:
% 173.90/26.51 | | | | | | | | | | | | | | | | | | |
% 173.90/26.51 | | | | | | | | | | | | | | | | | | | (8657) all_63_15 = e3
% 173.90/26.51 | | | | | | | | | | | | | | | | | | |
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (422), (8654), (8657) are inconsistent by
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | sub-proof #501.
% 173.90/26.52 | | | | | | | | | | | | | | | | | | |
% 173.90/26.52 | | | | | | | | | | | | | | | | | | Case 2:
% 173.90/26.52 | | | | | | | | | | | | | | | | | | |
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | (8658) all_63_15 = e2 | all_63_15 = e1 | all_63_15 = e0
% 173.90/26.52 | | | | | | | | | | | | | | | | | | |
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | BETA: splitting (8658) gives:
% 173.90/26.52 | | | | | | | | | | | | | | | | | | |
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | Case 1:
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | |
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | (8659) all_63_15 = e2
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | |
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (422), (8617), (8659) are inconsistent by
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | sub-proof #500.
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | |
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | Case 2:
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | |
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | (8660) all_63_15 = e1 | all_63_15 = e0
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | |
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | BETA: splitting (8660) gives:
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | |
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | (8661) all_63_15 = e1
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (422), (8656), (8661) are inconsistent by
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | sub-proof #499.
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | (8662) all_63_15 = e0
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (422), (8662) imply:
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | (8663) all_20_2 = e0
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | SIMP: (8663) implies:
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | (8664) all_20_2 = e0
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | REDUCE: (606), (8664) imply:
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | (8665) ~ (all_61_3 = e0)
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | REDUCE: (617), (8664) imply:
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | (8666) ~ (all_61_7 = e0)
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | REDUCE: (626), (8664) imply:
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | (8667) ~ (all_61_13 = e0)
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | REDUCE: (627), (8664) imply:
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | (8668) ~ (all_61_14 = e0)
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | REDUCE: (695), (8664) imply:
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | (8669) op(e0, e2) = all_65_75
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | REDUCE: (696), (8664) imply:
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | (8670) op(e0, e1) = all_65_77
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | REDUCE: (713), (8664) imply:
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | (8671) op(e3, e0) = all_65_15
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | REDUCE: (730), (8664) imply:
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | (8672) op(e2, e0) = all_65_31
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | REDUCE: (747), (8664) imply:
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | (8673) op(e1, e0) = all_65_47
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | REDUCE: (764), (8664) imply:
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | (8674) op(e0, e0) = all_65_78
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | REDUCE: (76), (8664) imply:
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | (8675) op(e0, e0) = e0
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e0, all_65_78, e0, e0,
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | simplifying with (8674), (8675) gives:
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | (8676) all_65_78 = e0
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_11, all_65_77, e1,
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | e0, simplifying with (224), (8670) gives:
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | (8677) all_65_77 = all_61_11
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_7, all_65_75, e2,
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | e0, simplifying with (225), (8669) gives:
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | (8678) all_65_75 = all_61_7
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_14, all_65_47, e0,
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | e1, simplifying with (227), (8673) gives:
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | (8679) all_65_47 = all_61_14
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_13, all_65_31, e0,
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | e2, simplifying with (231), (8672) gives:
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | (8680) all_65_31 = all_61_13
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_12, all_65_15, e0,
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | e3, simplifying with (235), (8671) gives:
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | (8681) all_65_15 = all_61_12
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (162) gives:
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | (8682) ~ (all_58_2 = e3)
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (478), (8682) imply:
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | (8683) ~ (all_52_2 = e3)
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (161) gives:
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | (8684) ~ (all_58_2 = e2)
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (478), (8684) imply:
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | (8685) ~ (all_52_2 = e2)
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (164) gives:
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | (8686) ~ (all_58_1 = e1)
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (481), (8686) imply:
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | (8687) ~ (all_52_1 = e1)
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (159) gives:
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | (8688) ~ (all_58_3 = e3)
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (475), (8688) imply:
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | (8689) ~ (all_52_3 = e3)
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (163) gives:
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | (8690) ~ (all_58_1 = e0)
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (481), (8690) imply:
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | (8691) ~ (all_52_1 = e0)
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (158) gives:
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8692) ~ (all_58_3 = e2)
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (475), (8692) imply:
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8693) ~ (all_52_3 = e2)
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (160) gives:
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8694) ~ (all_58_2 = e0)
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (478), (8694) imply:
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8695) ~ (all_52_2 = e0)
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (50), (148), (149), (157), (475), (478), (538),
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (539), (633), (748), (765), (5784), (8675),
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8683), (8685), (8689), (8693), (8695) are
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #240.
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8696) all_58_3 = e1
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8697) all_58_2 = e0
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (478), (8697) imply:
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8698) all_52_2 = e0
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (475), (8696) imply:
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8699) all_52_3 = e1
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8699) implies:
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8700) all_52_3 = e1
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (748), (8698) imply:
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8701) op(e1, e0) = unit
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (765), (8700) imply:
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8702) op(e0, e1) = unit
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_11, unit, e1, e0,
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (224), (8702) gives:
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8703) all_61_11 = unit
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_14, unit, e0, e1,
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (227), (8701) gives:
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8704) all_61_14 = unit
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (206), (8703) imply:
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8705) ~ (all_61_3 = unit)
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (192), (8703) imply:
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8706) ~ (all_61_7 = unit)
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5776), (8704) imply:
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8707) ~ (unit = e2)
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8668), (8704) imply:
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8708) ~ (unit = e0)
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (852) gives:
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8709) unit = e2
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8707), (8709) imply:
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8710) $false
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (8710) is inconsistent.
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8711) unit = e1 | unit = e0
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8711) gives:
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8712) unit = e1
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8705), (8712) imply:
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8713) ~ (all_61_3 = e1)
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8706), (8712) imply:
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8714) ~ (all_61_7 = e1)
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (207), (258), (259), (506), (508), (8543), (8626),
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8665), (8666), (8713), (8714) are inconsistent by
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #329.
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8715) ~ (unit = e1)
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8708), (8711), (8715) are inconsistent by
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #419.
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8716) all_58_1 = e0
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (481), (8691), (8716) are inconsistent by
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #462.
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | (8717) all_58_3 = e2
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | (8718) all_58_1 = e0
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (50), (225), (231), (475), (481), (663),
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | (731), (765), (8627), (8652), (8717), (8718) are
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #239.
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | (8719) all_58_3 = e3
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | (8720) all_58_0 = e0
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (484), (8720) imply:
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | (8721) all_52_0 = e0
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8721) implies:
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | (8722) all_52_0 = e0
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (475), (8719) imply:
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | (8723) all_52_3 = e3
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (628), (8722) imply:
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | (8724) ~ (all_52_1 = e0)
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8724) implies:
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | (8725) ~ (all_52_1 = e0)
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (632), (8723) imply:
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | (8726) ~ (all_52_1 = e3)
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (714), (8722) imply:
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | (8727) op(e3, e0) = unit
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (150) gives:
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | (8728) all_56_1 = e3
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (536), (8726), (8728) are inconsistent by
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #455.
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | (8729) all_56_1 = e2 | all_56_1 = e1 | all_56_1 = e0
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8729) gives:
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8730) all_56_1 = e2
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (536), (8730) imply:
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8731) all_52_1 = e2
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8731) implies:
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8732) all_52_1 = e2
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (731), (8732) imply:
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8733) op(e2, e2) = unit
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e2, unit, e2, e2,
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (8634), (8733) gives:
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8734) unit = e2
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_12, unit, e0, e3,
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (235), (8727) gives:
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8735) all_61_12 = unit
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8734), (8735) imply:
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8736) all_61_12 = e2
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8545), (8736) imply:
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8737) $false
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (8737) is inconsistent.
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8738) all_56_1 = e1 | all_56_1 = e0
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (536), (8687), (8725), (8738) are inconsistent by
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #454.
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | (8739) all_58_2 = e2
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (478), (8685), (8739) are inconsistent by
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #433.
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | (8740) all_58_2 = e2
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | (8741) all_58_1 = e1
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (481), (8741) imply:
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | (8742) all_52_1 = e1
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8742) implies:
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | (8743) all_52_1 = e1
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (478), (8740) imply:
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | (8744) all_52_2 = e2
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (631), (8743), (8744) imply:
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | (8745) ~ (e2 = e1)
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (731), (8743) imply:
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | (8746) op(e2, e1) = unit
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (20), (50), (5838), (8629), (8746) are
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #293.
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | (8747) all_58_2 = e3
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | (8748) all_58_0 = e1
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (484), (8748) imply:
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | (8749) all_52_0 = e1
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | SIMP: (8749) implies:
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | (8750) all_52_0 = e1
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (478), (8747) imply:
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | (8751) all_52_2 = e3
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (714), (8750) imply:
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | (8752) op(e3, e1) = unit
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (748), (8751) imply:
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | (8753) op(e1, e3) = unit
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_2, unit, e3, e1,
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | simplifying with (230), (8753) gives:
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | (8754) all_61_2 = unit
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_8, unit, e1, e3,
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | simplifying with (236), (8752) gives:
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | (8755) all_61_8 = unit
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8595), (8754) imply:
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | (8756) op(unit, e3) = all_10_1
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (668), (8754) imply:
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | (8757) op(unit, e1) = all_65_34
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (642), (8755) imply:
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | (8758) op(unit, e3) = all_65_8
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8600), (8755) imply:
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | (8759) op(unit, e1) = all_14_1
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e1, all_65_34, e1, unit,
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | simplifying with (8), (8757) gives:
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | (8760) all_65_34 = e1
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_14_1, all_65_34, e1,
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | unit, simplifying with (8757), (8759) gives:
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | (8761) all_65_34 = all_14_1
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e3, all_65_8, e3, unit,
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | simplifying with (10), (8758) gives:
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | (8762) all_65_8 = e3
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_10_1, all_65_8, e3,
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | unit, simplifying with (8756), (8758) gives:
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | (8763) all_65_8 = all_10_1
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8762), (8763) imply:
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | (8764) all_10_1 = e3
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8760), (8761) imply:
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | (8765) all_14_1 = e1
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8584), (8765) imply:
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | (8766) ~ (all_61_13 = e1)
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5821), (8764) imply:
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | (8767) ~ (all_61_13 = e3)
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (264), (498), (8627), (8667), (8766), (8767) are
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #473.
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | | End of split
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | | End of split
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | |
% 173.90/26.52 | | | | | | | | | | | | | | | | | | | End of split
% 173.90/26.52 | | | | | | | | | | | | | | | | | | |
% 173.90/26.52 | | | | | | | | | | | | | | | | | | End of split
% 173.90/26.52 | | | | | | | | | | | | | | | | | |
% 173.90/26.52 | | | | | | | | | | | | | | | | | Case 2:
% 173.90/26.52 | | | | | | | | | | | | | | | | | |
% 173.90/26.52 | | | | | | | | | | | | | | | | | | (8768) all_42_2 = e1
% 173.90/26.52 | | | | | | | | | | | | | | | | | | (8769) op(e0, e1) = all_42_1 & $i(all_42_1) & ( ~
% 173.90/26.52 | | | | | | | | | | | | | | | | | | (all_42_1 = e3) | ( ~ (all_42_0 = e2) & op(e3,
% 173.90/26.52 | | | | | | | | | | | | | | | | | | e0) = all_42_0 & $i(all_42_0)))
% 173.90/26.52 | | | | | | | | | | | | | | | | | |
% 173.90/26.52 | | | | | | | | | | | | | | | | | | ALPHA: (8769) implies:
% 173.90/26.52 | | | | | | | | | | | | | | | | | | (8770) op(e0, e1) = all_42_1
% 173.90/26.52 | | | | | | | | | | | | | | | | | |
% 173.90/26.52 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (532), (8768) imply:
% 173.90/26.52 | | | | | | | | | | | | | | | | | | (8771) all_20_2 = e1
% 173.90/26.52 | | | | | | | | | | | | | | | | | |
% 173.90/26.52 | | | | | | | | | | | | | | | | | | REDUCE: (606), (8771) imply:
% 173.90/26.52 | | | | | | | | | | | | | | | | | | (8772) ~ (all_61_3 = e1)
% 173.90/26.52 | | | | | | | | | | | | | | | | | |
% 173.90/26.52 | | | | | | | | | | | | | | | | | | REDUCE: (697), (8771) imply:
% 173.90/26.52 | | | | | | | | | | | | | | | | | | (8773) op(e1, e0) = all_65_78
% 173.90/26.52 | | | | | | | | | | | | | | | | | |
% 173.90/26.53 | | | | | | | | | | | | | | | | | | REDUCE: (730), (8771) imply:
% 173.90/26.53 | | | | | | | | | | | | | | | | | | (8774) op(e2, e1) = all_65_31
% 173.90/26.53 | | | | | | | | | | | | | | | | | |
% 173.90/26.53 | | | | | | | | | | | | | | | | | | REDUCE: (764), (8771) imply:
% 173.90/26.53 | | | | | | | | | | | | | | | | | | (8775) op(e0, e1) = all_65_78
% 173.90/26.53 | | | | | | | | | | | | | | | | | |
% 173.90/26.53 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_11, all_65_78, e1,
% 173.90/26.53 | | | | | | | | | | | | | | | | | | e0, simplifying with (224), (8775) gives:
% 173.90/26.53 | | | | | | | | | | | | | | | | | | (8776) all_65_78 = all_61_11
% 173.90/26.53 | | | | | | | | | | | | | | | | | |
% 173.90/26.53 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_42_1, all_65_78, e1,
% 173.90/26.53 | | | | | | | | | | | | | | | | | | e0, simplifying with (8770), (8775) gives:
% 173.90/26.53 | | | | | | | | | | | | | | | | | | (8777) all_65_78 = all_42_1
% 173.90/26.53 | | | | | | | | | | | | | | | | | |
% 173.90/26.53 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_14, all_65_78, e0,
% 173.90/26.53 | | | | | | | | | | | | | | | | | | e1, simplifying with (227), (8773) gives:
% 173.90/26.53 | | | | | | | | | | | | | | | | | | (8778) all_65_78 = all_61_14
% 173.90/26.53 | | | | | | | | | | | | | | | | | |
% 173.90/26.53 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_10_1, all_65_31, e1,
% 173.90/26.53 | | | | | | | | | | | | | | | | | | e2, simplifying with (5838), (8774) gives:
% 173.90/26.53 | | | | | | | | | | | | | | | | | | (8779) all_65_31 = all_10_1
% 173.90/26.53 | | | | | | | | | | | | | | | | | |
% 173.90/26.53 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8776), (8777) imply:
% 173.90/26.53 | | | | | | | | | | | | | | | | | | (8780) all_61_11 = all_42_1
% 173.90/26.53 | | | | | | | | | | | | | | | | | |
% 173.90/26.53 | | | | | | | | | | | | | | | | | | SIMP: (8780) implies:
% 173.90/26.53 | | | | | | | | | | | | | | | | | | (8781) all_61_11 = all_42_1
% 173.90/26.53 | | | | | | | | | | | | | | | | | |
% 173.90/26.53 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8777), (8778) imply:
% 173.90/26.53 | | | | | | | | | | | | | | | | | | (8782) all_61_14 = all_42_1
% 173.90/26.53 | | | | | | | | | | | | | | | | | |
% 173.90/26.53 | | | | | | | | | | | | | | | | | | SIMP: (8782) implies:
% 173.90/26.53 | | | | | | | | | | | | | | | | | | (8783) all_61_14 = all_42_1
% 173.90/26.53 | | | | | | | | | | | | | | | | | |
% 173.90/26.53 | | | | | | | | | | | | | | | | | | REDUCE: (5833), (8781) imply:
% 173.90/26.53 | | | | | | | | | | | | | | | | | | (8784) op(all_42_1, e1) = all_61_7
% 173.90/26.53 | | | | | | | | | | | | | | | | | |
% 173.90/26.53 | | | | | | | | | | | | | | | | | | REDUCE: (680), (8783) imply:
% 173.90/26.53 | | | | | | | | | | | | | | | | | | (8785) op(all_42_1, e1) = all_65_46
% 173.90/26.53 | | | | | | | | | | | | | | | | | |
% 173.90/26.53 | | | | | | | | | | | | | | | | | | REDUCE: (746), (8781) imply:
% 173.90/26.53 | | | | | | | | | | | | | | | | | | (8786) op(e1, all_42_1) = all_65_46
% 173.90/26.53 | | | | | | | | | | | | | | | | | |
% 173.90/26.53 | | | | | | | | | | | | | | | | | | REDUCE: (5840), (8783) imply:
% 173.90/26.53 | | | | | | | | | | | | | | | | | | (8787) op(e1, all_42_1) = all_61_13
% 173.90/26.53 | | | | | | | | | | | | | | | | | |
% 173.90/26.53 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_13, all_65_46,
% 173.90/26.53 | | | | | | | | | | | | | | | | | | all_42_1, e1, simplifying with (8786), (8787)
% 173.90/26.53 | | | | | | | | | | | | | | | | | | gives:
% 173.90/26.53 | | | | | | | | | | | | | | | | | | (8788) all_65_46 = all_61_13
% 173.90/26.53 | | | | | | | | | | | | | | | | | |
% 173.90/26.53 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_7, all_65_46, e1,
% 173.90/26.53 | | | | | | | | | | | | | | | | | | all_42_1, simplifying with (8784), (8785) gives:
% 173.90/26.53 | | | | | | | | | | | | | | | | | | (8789) all_65_46 = all_61_7
% 173.90/26.53 | | | | | | | | | | | | | | | | | |
% 173.90/26.53 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8788), (8789) imply:
% 173.90/26.53 | | | | | | | | | | | | | | | | | | (8790) all_61_7 = all_61_13
% 173.90/26.53 | | | | | | | | | | | | | | | | | |
% 173.90/26.53 | | | | | | | | | | | | | | | | | | REDUCE: (207), (8790) imply:
% 173.90/26.53 | | | | | | | | | | | | | | | | | | (8791) ~ (all_61_3 = all_61_13)
% 173.90/26.53 | | | | | | | | | | | | | | | | | |
% 173.90/26.53 | | | | | | | | | | | | | | | | | | BETA: splitting (161) gives:
% 173.90/26.53 | | | | | | | | | | | | | | | | | |
% 173.90/26.53 | | | | | | | | | | | | | | | | | | Case 1:
% 173.90/26.53 | | | | | | | | | | | | | | | | | | |
% 173.90/26.53 | | | | | | | | | | | | | | | | | | | (8792) ~ (all_58_2 = e2)
% 173.90/26.53 | | | | | | | | | | | | | | | | | | |
% 173.90/26.53 | | | | | | | | | | | | | | | | | | | REDUCE: (478), (8792) imply:
% 173.90/26.53 | | | | | | | | | | | | | | | | | | | (8793) ~ (all_52_2 = e2)
% 173.90/26.53 | | | | | | | | | | | | | | | | | | |
% 173.90/26.53 | | | | | | | | | | | | | | | | | | | BETA: splitting (164) gives:
% 173.90/26.53 | | | | | | | | | | | | | | | | | | |
% 173.90/26.53 | | | | | | | | | | | | | | | | | | | Case 1:
% 173.90/26.53 | | | | | | | | | | | | | | | | | | | |
% 173.90/26.53 | | | | | | | | | | | | | | | | | | | | (8794) ~ (all_58_1 = e1)
% 173.90/26.53 | | | | | | | | | | | | | | | | | | | |
% 173.90/26.53 | | | | | | | | | | | | | | | | | | | | REDUCE: (481), (8794) imply:
% 173.90/26.53 | | | | | | | | | | | | | | | | | | | | (8795) ~ (all_52_1 = e1)
% 173.90/26.53 | | | | | | | | | | | | | | | | | | | |
% 173.90/26.53 | | | | | | | | | | | | | | | | | | | | BETA: splitting (165) gives:
% 173.90/26.53 | | | | | | | | | | | | | | | | | | | |
% 173.90/26.53 | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.90/26.53 | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.53 | | | | | | | | | | | | | | | | | | | | | (8796) ~ (all_58_1 = e3)
% 173.90/26.53 | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.53 | | | | | | | | | | | | | | | | | | | | | REDUCE: (481), (8796) imply:
% 173.90/26.53 | | | | | | | | | | | | | | | | | | | | | (8797) ~ (all_52_1 = e3)
% 173.90/26.53 | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.53 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (163) gives:
% 173.90/26.53 | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.53 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.90/26.53 | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.53 | | | | | | | | | | | | | | | | | | | | | | (8798) ~ (all_58_1 = e0)
% 173.90/26.53 | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.53 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (481), (8798) imply:
% 173.90/26.53 | | | | | | | | | | | | | | | | | | | | | | (8799) ~ (all_52_1 = e0)
% 173.90/26.53 | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.53 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (150) gives:
% 173.90/26.53 | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.53 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.90/26.53 | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.53 | | | | | | | | | | | | | | | | | | | | | | | (8800) all_56_1 = e3
% 173.90/26.53 | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.53 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (536), (8797), (8800) are inconsistent by
% 173.90/26.53 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #455.
% 173.90/26.53 | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.53 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.90/26.53 | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.53 | | | | | | | | | | | | | | | | | | | | | | | (8801) all_56_1 = e2 | all_56_1 = e1 | all_56_1 = e0
% 173.90/26.53 | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.53 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8801) gives:
% 173.90/26.53 | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.53 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.90/26.53 | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.53 | | | | | | | | | | | | | | | | | | | | | | | | (8802) all_56_1 = e2
% 173.90/26.53 | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.53 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (536), (8802) imply:
% 173.90/26.53 | | | | | | | | | | | | | | | | | | | | | | | | (8803) all_52_1 = e2
% 173.90/26.53 | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.53 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8803) implies:
% 173.90/26.53 | | | | | | | | | | | | | | | | | | | | | | | | (8804) all_52_1 = e2
% 173.90/26.53 | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.53 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (731), (8804) imply:
% 173.90/26.53 | | | | | | | | | | | | | | | | | | | | | | | | (8805) op(e2, e2) = unit
% 173.90/26.53 | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.53 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e2, unit, e2, e2,
% 173.90/26.53 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (8634), (8805) gives:
% 173.90/26.53 | | | | | | | | | | | | | | | | | | | | | | | | (8806) unit = e2
% 173.90/26.53 | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.53 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7), (8806) imply:
% 173.90/26.53 | | | | | | | | | | | | | | | | | | | | | | | | (8807) op(e2, e0) = e0
% 173.90/26.53 | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.53 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6), (8806) imply:
% 173.90/26.53 | | | | | | | | | | | | | | | | | | | | | | | | (8808) op(e3, e2) = e3
% 173.90/26.53 | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.53 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_13, e0, e0, e2,
% 173.90/26.53 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (231), (8807) gives:
% 173.90/26.53 | | | | | | | | | | | | | | | | | | | | | | | | (8809) all_61_13 = e0
% 173.90/26.53 | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.53 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_14_1, e3, e2, e3,
% 173.90/26.53 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (8541), (8808) gives:
% 173.90/26.53 | | | | | | | | | | | | | | | | | | | | | | | | (8810) all_14_1 = e3
% 173.90/26.53 | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.53 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8791), (8809) imply:
% 173.90/26.53 | | | | | | | | | | | | | | | | | | | | | | | | (8811) ~ (all_61_3 = e0)
% 173.90/26.53 | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.53 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8582), (8810) imply:
% 173.90/26.53 | | | | | | | | | | | | | | | | | | | | | | | | (8812) ~ (all_61_3 = e3)
% 173.90/26.53 | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.53 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (259), (506), (8543), (8772), (8811), (8812) are
% 173.90/26.53 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #309.
% 173.90/26.53 | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.53 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.90/26.53 | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.53 | | | | | | | | | | | | | | | | | | | | | | | | (8813) all_56_1 = e1 | all_56_1 = e0
% 173.90/26.53 | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.53 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (536), (8795), (8799), (8813) are inconsistent by
% 173.90/26.53 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #454.
% 173.90/26.53 | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.53 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.90/26.53 | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.53 | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.90/26.53 | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.53 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.90/26.53 | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.53 | | | | | | | | | | | | | | | | | | | | | | (8814) all_58_3 = e2
% 173.90/26.53 | | | | | | | | | | | | | | | | | | | | | | (8815) all_58_1 = e0
% 173.90/26.53 | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.53 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (50), (225), (231), (475), (481), (663),
% 173.90/26.53 | | | | | | | | | | | | | | | | | | | | | | (731), (765), (8627), (8652), (8814), (8815) are
% 173.90/26.53 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #239.
% 173.90/26.53 | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.53 | | | | | | | | | | | | | | | | | | | | | End of split
% 173.90/26.53 | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.53 | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.90/26.53 | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.53 | | | | | | | | | | | | | | | | | | | | | (8816) all_58_1 = e3
% 173.90/26.53 | | | | | | | | | | | | | | | | | | | | | (8817) all_58_0 = e2
% 173.90/26.53 | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.53 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (484), (8817) imply:
% 173.90/26.53 | | | | | | | | | | | | | | | | | | | | | (8818) all_52_0 = e2
% 173.90/26.53 | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.53 | | | | | | | | | | | | | | | | | | | | | SIMP: (8818) implies:
% 173.90/26.53 | | | | | | | | | | | | | | | | | | | | | (8819) all_52_0 = e2
% 173.90/26.53 | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.53 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (481), (8816) imply:
% 173.90/26.53 | | | | | | | | | | | | | | | | | | | | | (8820) all_52_1 = e3
% 173.90/26.53 | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.53 | | | | | | | | | | | | | | | | | | | | | SIMP: (8820) implies:
% 173.90/26.53 | | | | | | | | | | | | | | | | | | | | | (8821) all_52_1 = e3
% 173.90/26.53 | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.53 | | | | | | | | | | | | | | | | | | | | | REDUCE: (628), (8819), (8821) imply:
% 173.90/26.53 | | | | | | | | | | | | | | | | | | | | | (8822) ~ (e3 = e2)
% 173.90/26.53 | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.53 | | | | | | | | | | | | | | | | | | | | | REDUCE: (714), (8819) imply:
% 173.90/26.53 | | | | | | | | | | | | | | | | | | | | | (8823) op(e3, e2) = unit
% 173.90/26.53 | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.53 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (23), (50), (8541), (8628), (8823) are
% 173.90/26.53 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #366.
% 173.90/26.53 | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.53 | | | | | | | | | | | | | | | | | | | | End of split
% 173.90/26.53 | | | | | | | | | | | | | | | | | | | |
% 173.90/26.53 | | | | | | | | | | | | | | | | | | | Case 2:
% 173.90/26.53 | | | | | | | | | | | | | | | | | | | |
% 173.90/26.53 | | | | | | | | | | | | | | | | | | | | (8824) all_58_2 = e2
% 173.90/26.53 | | | | | | | | | | | | | | | | | | | |
% 173.90/26.53 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (478), (8793), (8824) are inconsistent by
% 173.90/26.53 | | | | | | | | | | | | | | | | | | | | sub-proof #433.
% 173.90/26.53 | | | | | | | | | | | | | | | | | | | |
% 173.90/26.53 | | | | | | | | | | | | | | | | | | | End of split
% 173.90/26.53 | | | | | | | | | | | | | | | | | | |
% 173.90/26.53 | | | | | | | | | | | | | | | | | | Case 2:
% 173.90/26.53 | | | | | | | | | | | | | | | | | | |
% 173.90/26.53 | | | | | | | | | | | | | | | | | | | (8825) all_58_2 = e2
% 173.90/26.53 | | | | | | | | | | | | | | | | | | | (8826) all_58_1 = e1
% 173.90/26.53 | | | | | | | | | | | | | | | | | | |
% 173.90/26.53 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (50), (478), (481), (631), (731), (5838),
% 173.90/26.53 | | | | | | | | | | | | | | | | | | | (8629), (8825), (8826) are inconsistent by
% 173.90/26.53 | | | | | | | | | | | | | | | | | | | sub-proof #291.
% 173.90/26.53 | | | | | | | | | | | | | | | | | | |
% 173.90/26.53 | | | | | | | | | | | | | | | | | | End of split
% 173.90/26.53 | | | | | | | | | | | | | | | | | |
% 173.90/26.53 | | | | | | | | | | | | | | | | | End of split
% 173.90/26.53 | | | | | | | | | | | | | | | | |
% 173.90/26.53 | | | | | | | | | | | | | | | | Case 2:
% 173.90/26.53 | | | | | | | | | | | | | | | | |
% 173.90/26.53 | | | | | | | | | | | | | | | | | (8827) all_28_2 = e3
% 173.90/26.53 | | | | | | | | | | | | | | | | | (8828) op(e0, e3) = all_28_1 & $i(all_28_1) & ( ~
% 173.90/26.53 | | | | | | | | | | | | | | | | | (all_28_1 = e2) | ( ~ (all_28_0 = e1) & op(e2,
% 173.90/26.53 | | | | | | | | | | | | | | | | | e0) = all_28_0 & $i(all_28_0)))
% 173.90/26.53 | | | | | | | | | | | | | | | | |
% 173.90/26.53 | | | | | | | | | | | | | | | | | ALPHA: (8828) implies:
% 173.90/26.53 | | | | | | | | | | | | | | | | | (8829) op(e0, e3) = all_28_1
% 173.90/26.53 | | | | | | | | | | | | | | | | |
% 173.90/26.53 | | | | | | | | | | | | | | | | | COMBINE_EQS: (563), (8827) imply:
% 173.90/26.53 | | | | | | | | | | | | | | | | | (8830) all_20_2 = e3
% 173.90/26.53 | | | | | | | | | | | | | | | | |
% 173.90/26.53 | | | | | | | | | | | | | | | | | COMBINE_EQS: (555), (8830) imply:
% 173.90/26.53 | | | | | | | | | | | | | | | | | (8831) all_34_2 = e3
% 173.90/26.53 | | | | | | | | | | | | | | | | |
% 173.90/26.53 | | | | | | | | | | | | | | | | | REDUCE: (624), (8830) imply:
% 173.90/26.53 | | | | | | | | | | | | | | | | | (8832) ~ (all_61_11 = e3)
% 173.90/26.53 | | | | | | | | | | | | | | | | |
% 173.90/26.53 | | | | | | | | | | | | | | | | | REDUCE: (625), (8830) imply:
% 173.90/26.53 | | | | | | | | | | | | | | | | | (8833) ~ (all_61_12 = e3)
% 173.90/26.53 | | | | | | | | | | | | | | | | |
% 173.90/26.53 | | | | | | | | | | | | | | | | | REDUCE: (696), (8830) imply:
% 173.90/26.53 | | | | | | | | | | | | | | | | | (8834) op(e3, e1) = all_65_77
% 173.90/26.53 | | | | | | | | | | | | | | | | |
% 173.90/26.53 | | | | | | | | | | | | | | | | | REDUCE: (697), (8830) imply:
% 173.90/26.53 | | | | | | | | | | | | | | | | | (8835) op(e3, e0) = all_65_78
% 173.90/26.53 | | | | | | | | | | | | | | | | |
% 173.90/26.53 | | | | | | | | | | | | | | | | | REDUCE: (747), (8830) imply:
% 173.90/26.53 | | | | | | | | | | | | | | | | | (8836) op(e1, e3) = all_65_47
% 173.90/26.53 | | | | | | | | | | | | | | | | |
% 173.90/26.53 | | | | | | | | | | | | | | | | | REDUCE: (764), (8830) imply:
% 173.90/26.53 | | | | | | | | | | | | | | | | | (8837) op(e0, e3) = all_65_78
% 173.90/26.53 | | | | | | | | | | | | | | | | |
% 173.90/26.53 | | | | | | | | | | | | | | | | | BETA: splitting (98) gives:
% 173.90/26.53 | | | | | | | | | | | | | | | | |
% 173.90/26.53 | | | | | | | | | | | | | | | | | Case 1:
% 173.90/26.53 | | | | | | | | | | | | | | | | | |
% 173.90/26.53 | | | | | | | | | | | | | | | | | | (8838) ~ (all_34_2 = e3)
% 173.90/26.53 | | | | | | | | | | | | | | | | | |
% 173.90/26.53 | | | | | | | | | | | | | | | | | | REDUCE: (8831), (8838) imply:
% 173.90/26.53 | | | | | | | | | | | | | | | | | | (8839) $false
% 173.90/26.53 | | | | | | | | | | | | | | | | | |
% 173.90/26.53 | | | | | | | | | | | | | | | | | | CLOSE: (8839) is inconsistent.
% 173.90/26.53 | | | | | | | | | | | | | | | | | |
% 173.90/26.53 | | | | | | | | | | | | | | | | | Case 2:
% 173.90/26.53 | | | | | | | | | | | | | | | | | |
% 173.90/26.53 | | | | | | | | | | | | | | | | | | (8840) op(e0, e3) = all_34_1 & $i(all_34_1) & ( ~
% 173.90/26.53 | | | | | | | | | | | | | | | | | | (all_34_1 = e1) | ( ~ (all_34_0 = e2) & op(e1,
% 173.90/26.53 | | | | | | | | | | | | | | | | | | e0) = all_34_0 & $i(all_34_0)))
% 173.90/26.53 | | | | | | | | | | | | | | | | | |
% 173.90/26.53 | | | | | | | | | | | | | | | | | | ALPHA: (8840) implies:
% 173.90/26.53 | | | | | | | | | | | | | | | | | | (8841) op(e0, e3) = all_34_1
% 173.90/26.53 | | | | | | | | | | | | | | | | | |
% 173.90/26.53 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_3, all_28_1, e3,
% 173.90/26.53 | | | | | | | | | | | | | | | | | | e0, simplifying with (226), (8829) gives:
% 173.90/26.53 | | | | | | | | | | | | | | | | | | (8842) all_61_3 = all_28_1
% 173.90/26.53 | | | | | | | | | | | | | | | | | |
% 173.90/26.53 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_3, all_65_78, e3,
% 173.90/26.53 | | | | | | | | | | | | | | | | | | e0, simplifying with (226), (8837) gives:
% 173.90/26.53 | | | | | | | | | | | | | | | | | | (8843) all_65_78 = all_61_3
% 173.90/26.53 | | | | | | | | | | | | | | | | | |
% 173.90/26.53 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_34_1, all_65_78, e3,
% 173.90/26.53 | | | | | | | | | | | | | | | | | | e0, simplifying with (8837), (8841) gives:
% 173.90/26.53 | | | | | | | | | | | | | | | | | | (8844) all_65_78 = all_34_1
% 173.90/26.53 | | | | | | | | | | | | | | | | | |
% 173.90/26.53 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_2, all_65_47, e3,
% 173.90/26.53 | | | | | | | | | | | | | | | | | | e1, simplifying with (230), (8836) gives:
% 173.90/26.53 | | | | | | | | | | | | | | | | | | (8845) all_65_47 = all_61_2
% 173.90/26.53 | | | | | | | | | | | | | | | | | |
% 173.90/26.53 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_12, all_65_78, e0,
% 173.90/26.53 | | | | | | | | | | | | | | | | | | e3, simplifying with (235), (8835) gives:
% 173.90/26.53 | | | | | | | | | | | | | | | | | | (8846) all_65_78 = all_61_12
% 173.90/26.53 | | | | | | | | | | | | | | | | | |
% 173.90/26.53 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_8, all_65_77, e1,
% 173.90/26.53 | | | | | | | | | | | | | | | | | | e3, simplifying with (236), (8834) gives:
% 173.90/26.53 | | | | | | | | | | | | | | | | | | (8847) all_65_77 = all_61_8
% 173.90/26.53 | | | | | | | | | | | | | | | | | |
% 173.90/26.53 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8843), (8844) imply:
% 173.90/26.53 | | | | | | | | | | | | | | | | | | (8848) all_61_3 = all_34_1
% 173.90/26.53 | | | | | | | | | | | | | | | | | |
% 173.90/26.53 | | | | | | | | | | | | | | | | | | SIMP: (8848) implies:
% 173.90/26.53 | | | | | | | | | | | | | | | | | | (8849) all_61_3 = all_34_1
% 173.90/26.53 | | | | | | | | | | | | | | | | | |
% 173.90/26.53 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8844), (8846) imply:
% 173.90/26.53 | | | | | | | | | | | | | | | | | | (8850) all_61_12 = all_34_1
% 173.90/26.53 | | | | | | | | | | | | | | | | | |
% 173.90/26.53 | | | | | | | | | | | | | | | | | | SIMP: (8850) implies:
% 173.90/26.53 | | | | | | | | | | | | | | | | | | (8851) all_61_12 = all_34_1
% 173.90/26.53 | | | | | | | | | | | | | | | | | |
% 173.90/26.53 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8842), (8849) imply:
% 173.90/26.53 | | | | | | | | | | | | | | | | | | (8852) all_34_1 = all_28_1
% 173.90/26.53 | | | | | | | | | | | | | | | | | |
% 173.90/26.53 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8851), (8852) imply:
% 173.90/26.53 | | | | | | | | | | | | | | | | | | (8853) all_61_12 = all_28_1
% 173.90/26.53 | | | | | | | | | | | | | | | | | |
% 173.90/26.53 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (491), (8853) imply:
% 173.90/26.53 | | | | | | | | | | | | | | | | | | (8854) all_63_3 = all_28_1
% 173.90/26.53 | | | | | | | | | | | | | | | | | |
% 173.90/26.53 | | | | | | | | | | | | | | | | | | REDUCE: (207), (8842) imply:
% 173.90/26.53 | | | | | | | | | | | | | | | | | | (8855) ~ (all_61_7 = all_28_1)
% 173.90/26.53 | | | | | | | | | | | | | | | | | |
% 173.90/26.53 | | | | | | | | | | | | | | | | | | SIMP: (8855) implies:
% 173.90/26.53 | | | | | | | | | | | | | | | | | | (8856) ~ (all_61_7 = all_28_1)
% 173.90/26.53 | | | | | | | | | | | | | | | | | |
% 173.90/26.53 | | | | | | | | | | | | | | | | | | REDUCE: (187), (8853) imply:
% 173.90/26.53 | | | | | | | | | | | | | | | | | | (8857) ~ (all_61_8 = all_28_1)
% 173.90/26.53 | | | | | | | | | | | | | | | | | |
% 173.90/26.53 | | | | | | | | | | | | | | | | | | REDUCE: (179), (8853) imply:
% 173.90/26.53 | | | | | | | | | | | | | | | | | | (8858) ~ (all_61_14 = all_28_1)
% 173.90/26.53 | | | | | | | | | | | | | | | | | |
% 173.90/26.53 | | | | | | | | | | | | | | | | | | SIMP: (8858) implies:
% 173.90/26.53 | | | | | | | | | | | | | | | | | | (8859) ~ (all_61_14 = all_28_1)
% 173.90/26.53 | | | | | | | | | | | | | | | | | |
% 173.90/26.53 | | | | | | | | | | | | | | | | | | REDUCE: (8588), (8853) imply:
% 173.90/26.53 | | | | | | | | | | | | | | | | | | (8860) ~ (all_28_1 = all_14_1)
% 173.90/26.53 | | | | | | | | | | | | | | | | | |
% 173.90/26.53 | | | | | | | | | | | | | | | | | | REDUCE: (8833), (8853) imply:
% 173.90/26.53 | | | | | | | | | | | | | | | | | | (8861) ~ (all_28_1 = e3)
% 173.90/26.53 | | | | | | | | | | | | | | | | | |
% 173.90/26.53 | | | | | | | | | | | | | | | | | | REDUCE: (8545), (8853) imply:
% 173.90/26.53 | | | | | | | | | | | | | | | | | | (8862) ~ (all_28_1 = e2)
% 173.90/26.53 | | | | | | | | | | | | | | | | | |
% 173.90/26.53 | | | | | | | | | | | | | | | | | | REDUCE: (8596), (8842) imply:
% 173.90/26.53 | | | | | | | | | | | | | | | | | | (8863) op(all_28_1, e3) = all_61_7
% 173.90/26.53 | | | | | | | | | | | | | | | | | |
% 173.90/26.53 | | | | | | | | | | | | | | | | | | REDUCE: (646), (8853) imply:
% 173.90/26.53 | | | | | | | | | | | | | | | | | | (8864) op(all_28_1, e3) = all_65_12
% 173.90/26.53 | | | | | | | | | | | | | | | | | |
% 173.90/26.53 | | | | | | | | | | | | | | | | | | REDUCE: (710), (8842) imply:
% 173.90/26.53 | | | | | | | | | | | | | | | | | | (8865) op(e3, all_28_1) = all_65_12
% 173.90/26.53 | | | | | | | | | | | | | | | | | |
% 173.90/26.53 | | | | | | | | | | | | | | | | | | REDUCE: (8602), (8853) imply:
% 173.90/26.53 | | | | | | | | | | | | | | | | | | (8866) op(e3, all_28_1) = all_61_13
% 173.90/26.53 | | | | | | | | | | | | | | | | | |
% 173.90/26.53 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_13, all_65_12,
% 173.90/26.53 | | | | | | | | | | | | | | | | | | all_28_1, e3, simplifying with (8865), (8866)
% 173.90/26.53 | | | | | | | | | | | | | | | | | | gives:
% 173.90/26.53 | | | | | | | | | | | | | | | | | | (8867) all_65_12 = all_61_13
% 173.90/26.53 | | | | | | | | | | | | | | | | | |
% 173.90/26.53 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_7, all_65_12, e3,
% 173.90/26.53 | | | | | | | | | | | | | | | | | | all_28_1, simplifying with (8863), (8864) gives:
% 173.90/26.53 | | | | | | | | | | | | | | | | | | (8868) all_65_12 = all_61_7
% 173.90/26.53 | | | | | | | | | | | | | | | | | |
% 173.90/26.53 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8867), (8868) imply:
% 173.90/26.53 | | | | | | | | | | | | | | | | | | (8869) all_61_7 = all_61_13
% 173.90/26.53 | | | | | | | | | | | | | | | | | |
% 173.90/26.53 | | | | | | | | | | | | | | | | | | REDUCE: (192), (8869) imply:
% 173.90/26.53 | | | | | | | | | | | | | | | | | | (8870) ~ (all_61_11 = all_61_13)
% 173.90/26.53 | | | | | | | | | | | | | | | | | |
% 173.90/26.53 | | | | | | | | | | | | | | | | | | SIMP: (8870) implies:
% 173.90/26.53 | | | | | | | | | | | | | | | | | | (8871) ~ (all_61_11 = all_61_13)
% 173.90/26.53 | | | | | | | | | | | | | | | | | |
% 173.90/26.53 | | | | | | | | | | | | | | | | | | REDUCE: (8856), (8869) imply:
% 173.90/26.53 | | | | | | | | | | | | | | | | | | (8872) ~ (all_61_13 = all_28_1)
% 173.90/26.53 | | | | | | | | | | | | | | | | | |
% 173.90/26.53 | | | | | | | | | | | | | | | | | | REDUCE: (5833), (8869) imply:
% 173.90/26.53 | | | | | | | | | | | | | | | | | | (8873) op(all_61_11, e1) = all_61_13
% 173.90/26.53 | | | | | | | | | | | | | | | | | |
% 173.90/26.53 | | | | | | | | | | | | | | | | | | BETA: splitting (162) gives:
% 173.90/26.53 | | | | | | | | | | | | | | | | | |
% 173.90/26.53 | | | | | | | | | | | | | | | | | | Case 1:
% 173.90/26.53 | | | | | | | | | | | | | | | | | | |
% 173.90/26.53 | | | | | | | | | | | | | | | | | | | (8874) ~ (all_58_2 = e3)
% 173.90/26.53 | | | | | | | | | | | | | | | | | | |
% 173.90/26.53 | | | | | | | | | | | | | | | | | | | REDUCE: (478), (8874) imply:
% 173.90/26.53 | | | | | | | | | | | | | | | | | | | (8875) ~ (all_52_2 = e3)
% 173.90/26.53 | | | | | | | | | | | | | | | | | | |
% 173.90/26.53 | | | | | | | | | | | | | | | | | | | BETA: splitting (161) gives:
% 173.90/26.53 | | | | | | | | | | | | | | | | | | |
% 173.90/26.53 | | | | | | | | | | | | | | | | | | | Case 1:
% 173.90/26.53 | | | | | | | | | | | | | | | | | | | |
% 173.90/26.53 | | | | | | | | | | | | | | | | | | | | (8876) ~ (all_58_2 = e2)
% 173.90/26.53 | | | | | | | | | | | | | | | | | | | |
% 173.90/26.53 | | | | | | | | | | | | | | | | | | | | REDUCE: (478), (8876) imply:
% 173.90/26.53 | | | | | | | | | | | | | | | | | | | | (8877) ~ (all_52_2 = e2)
% 173.90/26.53 | | | | | | | | | | | | | | | | | | | |
% 173.90/26.53 | | | | | | | | | | | | | | | | | | | | BETA: splitting (160) gives:
% 173.90/26.53 | | | | | | | | | | | | | | | | | | | |
% 173.90/26.53 | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.90/26.53 | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.53 | | | | | | | | | | | | | | | | | | | | | (8878) ~ (all_58_2 = e0)
% 173.90/26.53 | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.53 | | | | | | | | | | | | | | | | | | | | | REDUCE: (478), (8878) imply:
% 173.90/26.53 | | | | | | | | | | | | | | | | | | | | | (8879) ~ (all_52_2 = e0)
% 173.90/26.53 | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.53 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (50), (149), (231), (257), (510), (538),
% 173.90/26.53 | | | | | | | | | | | | | | | | | | | | | (748), (5775), (5784), (5819), (5838), (8832),
% 173.90/26.53 | | | | | | | | | | | | | | | | | | | | | (8871), (8875), (8877), (8879) are inconsistent by
% 173.90/26.53 | | | | | | | | | | | | | | | | | | | | | sub-proof #238.
% 173.90/26.53 | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.53 | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.90/26.53 | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.53 | | | | | | | | | | | | | | | | | | | | | (8880) all_58_3 = e1
% 173.90/26.53 | | | | | | | | | | | | | | | | | | | | | (8881) all_58_2 = e0
% 173.90/26.53 | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.53 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (478), (8881) imply:
% 173.90/26.53 | | | | | | | | | | | | | | | | | | | | | (8882) all_52_2 = e0
% 173.90/26.53 | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.53 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (50), (177), (224), (227), (268), (475),
% 173.90/26.53 | | | | | | | | | | | | | | | | | | | | | (680), (748), (765), (852), (5776), (8854),
% 173.90/26.53 | | | | | | | | | | | | | | | | | | | | | (8859), (8861), (8862), (8872), (8873), (8880),
% 173.90/26.53 | | | | | | | | | | | | | | | | | | | | | (8882) are inconsistent by sub-proof #237.
% 173.90/26.53 | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.53 | | | | | | | | | | | | | | | | | | | | End of split
% 173.90/26.53 | | | | | | | | | | | | | | | | | | | |
% 173.90/26.53 | | | | | | | | | | | | | | | | | | | Case 2:
% 173.90/26.53 | | | | | | | | | | | | | | | | | | | |
% 173.90/26.53 | | | | | | | | | | | | | | | | | | | | (8883) all_58_2 = e2
% 173.90/26.53 | | | | | | | | | | | | | | | | | | | | (8884) all_58_1 = e1
% 173.90/26.53 | | | | | | | | | | | | | | | | | | | |
% 173.90/26.53 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (50), (478), (481), (631), (731), (5838),
% 173.90/26.53 | | | | | | | | | | | | | | | | | | | | (8629), (8883), (8884) are inconsistent by
% 173.90/26.53 | | | | | | | | | | | | | | | | | | | | sub-proof #291.
% 173.90/26.53 | | | | | | | | | | | | | | | | | | | |
% 173.90/26.53 | | | | | | | | | | | | | | | | | | | End of split
% 173.90/26.53 | | | | | | | | | | | | | | | | | | |
% 173.90/26.53 | | | | | | | | | | | | | | | | | | Case 2:
% 173.90/26.53 | | | | | | | | | | | | | | | | | | |
% 173.90/26.53 | | | | | | | | | | | | | | | | | | | (8885) all_58_2 = e3
% 173.90/26.53 | | | | | | | | | | | | | | | | | | | (8886) all_58_0 = e1
% 173.90/26.53 | | | | | | | | | | | | | | | | | | |
% 173.90/26.53 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (484), (8886) imply:
% 173.90/26.53 | | | | | | | | | | | | | | | | | | | (8887) all_52_0 = e1
% 173.90/26.53 | | | | | | | | | | | | | | | | | | |
% 173.90/26.53 | | | | | | | | | | | | | | | | | | | SIMP: (8887) implies:
% 173.90/26.53 | | | | | | | | | | | | | | | | | | | (8888) all_52_0 = e1
% 173.90/26.53 | | | | | | | | | | | | | | | | | | |
% 173.90/26.53 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (478), (8885) imply:
% 173.90/26.53 | | | | | | | | | | | | | | | | | | | (8889) all_52_2 = e3
% 173.90/26.53 | | | | | | | | | | | | | | | | | | |
% 173.90/26.53 | | | | | | | | | | | | | | | | | | | REDUCE: (714), (8888) imply:
% 173.90/26.53 | | | | | | | | | | | | | | | | | | | (8890) op(e3, e1) = unit
% 173.90/26.53 | | | | | | | | | | | | | | | | | | |
% 173.90/26.53 | | | | | | | | | | | | | | | | | | | REDUCE: (748), (8889) imply:
% 173.90/26.53 | | | | | | | | | | | | | | | | | | | (8891) op(e1, e3) = unit
% 173.90/26.53 | | | | | | | | | | | | | | | | | | |
% 173.90/26.53 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_2, unit, e3, e1,
% 173.90/26.53 | | | | | | | | | | | | | | | | | | | simplifying with (230), (8891) gives:
% 173.90/26.53 | | | | | | | | | | | | | | | | | | | (8892) all_61_2 = unit
% 173.90/26.53 | | | | | | | | | | | | | | | | | | |
% 173.90/26.53 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_8, unit, e1, e3,
% 173.90/26.53 | | | | | | | | | | | | | | | | | | | simplifying with (236), (8890) gives:
% 173.90/26.53 | | | | | | | | | | | | | | | | | | | (8893) all_61_8 = unit
% 173.90/26.53 | | | | | | | | | | | | | | | | | | |
% 173.90/26.53 | | | | | | | | | | | | | | | | | | | REDUCE: (8857), (8893) imply:
% 173.90/26.53 | | | | | | | | | | | | | | | | | | | (8894) ~ (all_28_1 = unit)
% 173.90/26.53 | | | | | | | | | | | | | | | | | | |
% 173.90/26.53 | | | | | | | | | | | | | | | | | | | SIMP: (8894) implies:
% 173.90/26.54 | | | | | | | | | | | | | | | | | | | (8895) ~ (all_28_1 = unit)
% 173.90/26.54 | | | | | | | | | | | | | | | | | | |
% 173.90/26.54 | | | | | | | | | | | | | | | | | | | REDUCE: (8586), (8893) imply:
% 173.90/26.54 | | | | | | | | | | | | | | | | | | | (8896) ~ (all_14_1 = unit)
% 173.90/26.54 | | | | | | | | | | | | | | | | | | |
% 173.90/26.54 | | | | | | | | | | | | | | | | | | | SIMP: (8896) implies:
% 173.90/26.54 | | | | | | | | | | | | | | | | | | | (8897) ~ (all_14_1 = unit)
% 173.90/26.54 | | | | | | | | | | | | | | | | | | |
% 173.90/26.54 | | | | | | | | | | | | | | | | | | | REDUCE: (5773), (8893) imply:
% 173.90/26.54 | | | | | | | | | | | | | | | | | | | (8898) ~ (unit = e2)
% 173.90/26.54 | | | | | | | | | | | | | | | | | | |
% 173.90/26.54 | | | | | | | | | | | | | | | | | | | REDUCE: (668), (8892) imply:
% 173.90/26.54 | | | | | | | | | | | | | | | | | | | (8899) op(unit, e1) = all_65_34
% 173.90/26.54 | | | | | | | | | | | | | | | | | | |
% 173.90/26.54 | | | | | | | | | | | | | | | | | | | REDUCE: (8600), (8893) imply:
% 173.90/26.54 | | | | | | | | | | | | | | | | | | | (8900) op(unit, e1) = all_14_1
% 173.90/26.54 | | | | | | | | | | | | | | | | | | |
% 173.90/26.54 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e1, all_65_34, e1, unit,
% 173.90/26.54 | | | | | | | | | | | | | | | | | | | simplifying with (8), (8899) gives:
% 173.90/26.54 | | | | | | | | | | | | | | | | | | | (8901) all_65_34 = e1
% 173.90/26.54 | | | | | | | | | | | | | | | | | | |
% 173.90/26.54 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_14_1, all_65_34, e1,
% 173.90/26.54 | | | | | | | | | | | | | | | | | | | unit, simplifying with (8899), (8900) gives:
% 173.90/26.54 | | | | | | | | | | | | | | | | | | | (8902) all_65_34 = all_14_1
% 173.90/26.54 | | | | | | | | | | | | | | | | | | |
% 173.90/26.54 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8901), (8902) imply:
% 173.90/26.54 | | | | | | | | | | | | | | | | | | | (8903) all_14_1 = e1
% 173.90/26.54 | | | | | | | | | | | | | | | | | | |
% 173.90/26.54 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (268), (852), (8854), (8860), (8861), (8862),
% 173.90/26.54 | | | | | | | | | | | | | | | | | | | (8895), (8897), (8898), (8903) are inconsistent by
% 173.90/26.54 | | | | | | | | | | | | | | | | | | | sub-proof #236.
% 173.90/26.54 | | | | | | | | | | | | | | | | | | |
% 173.90/26.54 | | | | | | | | | | | | | | | | | | End of split
% 173.90/26.54 | | | | | | | | | | | | | | | | | |
% 173.90/26.54 | | | | | | | | | | | | | | | | | End of split
% 173.90/26.54 | | | | | | | | | | | | | | | | |
% 173.90/26.54 | | | | | | | | | | | | | | | | End of split
% 173.90/26.54 | | | | | | | | | | | | | | | |
% 173.90/26.54 | | | | | | | | | | | | | | | End of split
% 173.90/26.54 | | | | | | | | | | | | | | |
% 173.90/26.54 | | | | | | | | | | | | | | End of split
% 173.90/26.54 | | | | | | | | | | | | | |
% 173.90/26.54 | | | | | | | | | | | | | Case 2:
% 173.90/26.54 | | | | | | | | | | | | | |
% 173.90/26.54 | | | | | | | | | | | | | | (8904) all_63_5 = e1 | all_63_5 = e0
% 173.90/26.54 | | | | | | | | | | | | | |
% 173.90/26.54 | | | | | | | | | | | | | | REF_CLOSE: (587), (5857), (8619), (8904) are inconsistent by
% 173.90/26.54 | | | | | | | | | | | | | | sub-proof #524.
% 173.90/26.54 | | | | | | | | | | | | | |
% 173.90/26.54 | | | | | | | | | | | | | End of split
% 173.90/26.54 | | | | | | | | | | | | |
% 173.90/26.54 | | | | | | | | | | | | End of split
% 173.90/26.54 | | | | | | | | | | | |
% 173.90/26.54 | | | | | | | | | | | Case 2:
% 173.90/26.54 | | | | | | | | | | | |
% 173.90/26.54 | | | | | | | | | | | | (8905) all_22_2 = e0
% 173.90/26.54 | | | | | | | | | | | | (8906) op(e2, e0) = all_22_1 & $i(all_22_1) & ( ~
% 173.90/26.54 | | | | | | | | | | | | (all_22_1 = e1) | ( ~ (all_22_0 = e3) & op(e1,
% 173.90/26.54 | | | | | | | | | | | | e2) = all_22_0 & $i(all_22_0)))
% 173.90/26.54 | | | | | | | | | | | |
% 173.90/26.54 | | | | | | | | | | | | ALPHA: (8906) implies:
% 173.90/26.54 | | | | | | | | | | | | (8907) op(e2, e0) = all_22_1
% 173.90/26.54 | | | | | | | | | | | |
% 173.90/26.54 | | | | | | | | | | | | COMBINE_EQS: (449), (8905) imply:
% 173.90/26.54 | | | | | | | | | | | | (8908) all_6_2 = e0
% 173.90/26.54 | | | | | | | | | | | |
% 173.90/26.54 | | | | | | | | | | | | SIMP: (8908) implies:
% 173.90/26.54 | | | | | | | | | | | | (8909) all_6_2 = e0
% 173.90/26.54 | | | | | | | | | | | |
% 173.90/26.54 | | | | | | | | | | | | COMBINE_EQS: (580), (8909) imply:
% 173.90/26.54 | | | | | | | | | | | | (8910) all_38_2 = e0
% 173.90/26.54 | | | | | | | | | | | |
% 173.90/26.54 | | | | | | | | | | | | REDUCE: (615), (8909) imply:
% 173.90/26.54 | | | | | | | | | | | | (8911) ~ (all_61_13 = e0)
% 173.90/26.54 | | | | | | | | | | | |
% 173.90/26.54 | | | | | | | | | | | | REDUCE: (8590), (8909) imply:
% 173.90/26.54 | | | | | | | | | | | | (8912) ~ (all_14_1 = e0)
% 173.90/26.54 | | | | | | | | | | | |
% 173.90/26.54 | | | | | | | | | | | | REDUCE: (5822), (8909) imply:
% 173.90/26.54 | | | | | | | | | | | | (8913) ~ (all_10_1 = e0)
% 173.90/26.54 | | | | | | | | | | | |
% 173.90/26.54 | | | | | | | | | | | | REDUCE: (5857), (8909) imply:
% 173.90/26.54 | | | | | | | | | | | | (8914) ~ (e1 = e0)
% 173.90/26.54 | | | | | | | | | | | |
% 173.90/26.54 | | | | | | | | | | | | REDUCE: (8592), (8909) imply:
% 173.90/26.54 | | | | | | | | | | | | (8915) op(all_14_1, e3) = e0
% 173.90/26.54 | | | | | | | | | | | |
% 173.90/26.54 | | | | | | | | | | | | REDUCE: (654), (8909) imply:
% 173.90/26.54 | | | | | | | | | | | | (8916) op(e0, e3) = all_65_20
% 173.90/26.54 | | | | | | | | | | | |
% 173.90/26.54 | | | | | | | | | | | | REDUCE: (655), (8909) imply:
% 173.90/26.54 | | | | | | | | | | | | (8917) op(e0, e2) = all_65_21
% 173.90/26.54 | | | | | | | | | | | |
% 173.90/26.54 | | | | | | | | | | | | REDUCE: (5853), (8909) imply:
% 173.90/26.54 | | | | | | | | | | | | (8918) op(e0, e1) = all_65_37
% 173.90/26.54 | | | | | | | | | | | |
% 173.90/26.54 | | | | | | | | | | | | REDUCE: (657), (8909) imply:
% 173.90/26.54 | | | | | | | | | | | | (8919) op(e0, e0) = all_65_23
% 173.90/26.54 | | | | | | | | | | | |
% 173.90/26.54 | | | | | | | | | | | | REDUCE: (8615), (8909) imply:
% 173.90/26.54 | | | | | | | | | | | | (8920) op(e3, all_14_1) = e0
% 173.90/26.54 | | | | | | | | | | | |
% 173.90/26.54 | | | | | | | | | | | | REDUCE: (8616), (8909) imply:
% 173.90/26.54 | | | | | | | | | | | | (8921) op(e3, e0) = all_65_20
% 173.90/26.54 | | | | | | | | | | | |
% 173.90/26.54 | | | | | | | | | | | | REDUCE: (720), (8909) imply:
% 173.90/26.54 | | | | | | | | | | | | (8922) op(e2, e0) = all_65_21
% 173.90/26.54 | | | | | | | | | | | |
% 173.90/26.54 | | | | | | | | | | | | REDUCE: (55), (8909) imply:
% 173.90/26.54 | | | | | | | | | | | | (8923) op(e2, e2) = e0
% 173.90/26.54 | | | | | | | | | | | |
% 173.90/26.54 | | | | | | | | | | | | REDUCE: (737), (8909) imply:
% 173.90/26.54 | | | | | | | | | | | | (8924) op(e1, e0) = all_65_37
% 173.90/26.54 | | | | | | | | | | | |
% 173.90/26.54 | | | | | | | | | | | | REDUCE: (754), (8909) imply:
% 173.90/26.54 | | | | | | | | | | | | (8925) op(e0, e0) = all_65_59
% 173.90/26.54 | | | | | | | | | | | |
% 173.90/26.54 | | | | | | | | | | | | BETA: splitting (104) gives:
% 173.90/26.54 | | | | | | | | | | | |
% 173.90/26.54 | | | | | | | | | | | | Case 1:
% 173.90/26.54 | | | | | | | | | | | | |
% 173.90/26.54 | | | | | | | | | | | | | (8926) ~ (all_38_2 = e0)
% 173.90/26.54 | | | | | | | | | | | | |
% 173.90/26.54 | | | | | | | | | | | | | REDUCE: (8910), (8926) imply:
% 173.90/26.54 | | | | | | | | | | | | | (8927) $false
% 173.90/26.54 | | | | | | | | | | | | |
% 173.90/26.54 | | | | | | | | | | | | | CLOSE: (8927) is inconsistent.
% 173.90/26.54 | | | | | | | | | | | | |
% 173.90/26.54 | | | | | | | | | | | | Case 2:
% 173.90/26.54 | | | | | | | | | | | | |
% 173.90/26.54 | | | | | | | | | | | | | (8928) op(e2, e0) = all_38_1 & $i(all_38_1) & ( ~
% 173.90/26.54 | | | | | | | | | | | | | (all_38_1 = e3) | ( ~ (all_38_0 = e1) & op(e3,
% 173.90/26.54 | | | | | | | | | | | | | e2) = all_38_0 & $i(all_38_0)))
% 173.90/26.54 | | | | | | | | | | | | |
% 173.90/26.54 | | | | | | | | | | | | | ALPHA: (8928) implies:
% 173.90/26.54 | | | | | | | | | | | | | (8929) op(e2, e0) = all_38_1
% 173.90/26.54 | | | | | | | | | | | | |
% 173.90/26.54 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_20_2, all_65_23, e0,
% 173.90/26.54 | | | | | | | | | | | | | e0, simplifying with (76), (8919) gives:
% 173.90/26.54 | | | | | | | | | | | | | (8930) all_65_23 = all_20_2
% 173.90/26.54 | | | | | | | | | | | | |
% 173.90/26.54 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_59, all_65_23, e0,
% 173.90/26.54 | | | | | | | | | | | | | e0, simplifying with (8919), (8925) gives:
% 173.90/26.54 | | | | | | | | | | | | | (8931) all_65_23 = all_65_59
% 173.90/26.54 | | | | | | | | | | | | |
% 173.90/26.54 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_11, all_65_37, e1,
% 173.90/26.54 | | | | | | | | | | | | | e0, simplifying with (224), (8918) gives:
% 173.90/26.54 | | | | | | | | | | | | | (8932) all_65_37 = all_61_11
% 173.90/26.54 | | | | | | | | | | | | |
% 173.90/26.54 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_7, all_65_21, e2,
% 173.90/26.54 | | | | | | | | | | | | | e0, simplifying with (225), (8917) gives:
% 173.90/26.54 | | | | | | | | | | | | | (8933) all_65_21 = all_61_7
% 173.90/26.54 | | | | | | | | | | | | |
% 173.90/26.54 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_3, all_65_20, e3,
% 173.90/26.54 | | | | | | | | | | | | | e0, simplifying with (226), (8916) gives:
% 173.90/26.54 | | | | | | | | | | | | | (8934) all_65_20 = all_61_3
% 173.90/26.54 | | | | | | | | | | | | |
% 173.90/26.54 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_14, all_65_37, e0,
% 173.90/26.54 | | | | | | | | | | | | | e1, simplifying with (227), (8924) gives:
% 173.90/26.54 | | | | | | | | | | | | | (8935) all_65_37 = all_61_14
% 173.90/26.54 | | | | | | | | | | | | |
% 173.90/26.54 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_13, all_38_1, e0,
% 173.90/26.54 | | | | | | | | | | | | | e2, simplifying with (231), (8929) gives:
% 173.90/26.54 | | | | | | | | | | | | | (8936) all_61_13 = all_38_1
% 173.90/26.54 | | | | | | | | | | | | |
% 173.90/26.54 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_13, all_65_21, e0,
% 173.90/26.54 | | | | | | | | | | | | | e2, simplifying with (231), (8922) gives:
% 173.90/26.54 | | | | | | | | | | | | | (8937) all_65_21 = all_61_13
% 173.90/26.54 | | | | | | | | | | | | |
% 173.90/26.54 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_22_1, all_65_21, e0,
% 173.90/26.54 | | | | | | | | | | | | | e2, simplifying with (8907), (8922) gives:
% 173.90/26.54 | | | | | | | | | | | | | (8938) all_65_21 = all_22_1
% 173.90/26.54 | | | | | | | | | | | | |
% 173.90/26.54 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_12, all_65_20, e0,
% 173.90/26.54 | | | | | | | | | | | | | e3, simplifying with (235), (8921) gives:
% 173.90/26.54 | | | | | | | | | | | | | (8939) all_65_20 = all_61_12
% 173.90/26.54 | | | | | | | | | | | | |
% 173.90/26.54 | | | | | | | | | | | | | COMBINE_EQS: (8934), (8939) imply:
% 173.90/26.54 | | | | | | | | | | | | | (8940) all_61_3 = all_61_12
% 173.90/26.54 | | | | | | | | | | | | |
% 173.90/26.54 | | | | | | | | | | | | | SIMP: (8940) implies:
% 173.90/26.54 | | | | | | | | | | | | | (8941) all_61_3 = all_61_12
% 173.90/26.54 | | | | | | | | | | | | |
% 173.90/26.54 | | | | | | | | | | | | | COMBINE_EQS: (8933), (8938) imply:
% 173.90/26.54 | | | | | | | | | | | | | (8942) all_61_7 = all_22_1
% 173.90/26.54 | | | | | | | | | | | | |
% 173.90/26.54 | | | | | | | | | | | | | SIMP: (8942) implies:
% 173.90/26.54 | | | | | | | | | | | | | (8943) all_61_7 = all_22_1
% 173.90/26.54 | | | | | | | | | | | | |
% 173.90/26.54 | | | | | | | | | | | | | COMBINE_EQS: (8937), (8938) imply:
% 173.90/26.54 | | | | | | | | | | | | | (8944) all_61_13 = all_22_1
% 173.90/26.54 | | | | | | | | | | | | |
% 173.90/26.54 | | | | | | | | | | | | | SIMP: (8944) implies:
% 173.90/26.54 | | | | | | | | | | | | | (8945) all_61_13 = all_22_1
% 173.90/26.54 | | | | | | | | | | | | |
% 173.90/26.54 | | | | | | | | | | | | | COMBINE_EQS: (8930), (8931) imply:
% 173.90/26.54 | | | | | | | | | | | | | (8946) all_65_59 = all_20_2
% 173.90/26.54 | | | | | | | | | | | | |
% 173.90/26.54 | | | | | | | | | | | | | SIMP: (8946) implies:
% 173.90/26.54 | | | | | | | | | | | | | (8947) all_65_59 = all_20_2
% 173.90/26.54 | | | | | | | | | | | | |
% 173.90/26.54 | | | | | | | | | | | | | COMBINE_EQS: (8932), (8935) imply:
% 173.90/26.54 | | | | | | | | | | | | | (8948) all_61_11 = all_61_14
% 173.90/26.54 | | | | | | | | | | | | |
% 173.90/26.54 | | | | | | | | | | | | | COMBINE_EQS: (8936), (8945) imply:
% 173.90/26.54 | | | | | | | | | | | | | (8949) all_38_1 = all_22_1
% 173.90/26.54 | | | | | | | | | | | | |
% 173.90/26.54 | | | | | | | | | | | | | SIMP: (8949) implies:
% 173.90/26.54 | | | | | | | | | | | | | (8950) all_38_1 = all_22_1
% 173.90/26.54 | | | | | | | | | | | | |
% 173.90/26.54 | | | | | | | | | | | | | COMBINE_EQS: (510), (8948) imply:
% 173.90/26.54 | | | | | | | | | | | | | (8951) all_63_14 = all_61_14
% 173.90/26.54 | | | | | | | | | | | | |
% 173.90/26.54 | | | | | | | | | | | | | COMBINE_EQS: (508), (8943) imply:
% 173.90/26.54 | | | | | | | | | | | | | (8952) all_63_13 = all_22_1
% 173.90/26.54 | | | | | | | | | | | | |
% 173.90/26.54 | | | | | | | | | | | | | COMBINE_EQS: (506), (8941) imply:
% 173.90/26.54 | | | | | | | | | | | | | (8953) all_63_12 = all_61_12
% 173.90/26.54 | | | | | | | | | | | | |
% 173.90/26.54 | | | | | | | | | | | | | COMBINE_EQS: (498), (8945) imply:
% 173.90/26.54 | | | | | | | | | | | | | (8954) all_63_7 = all_22_1
% 173.90/26.54 | | | | | | | | | | | | |
% 173.90/26.54 | | | | | | | | | | | | | REDUCE: (211), (8941) imply:
% 173.90/26.54 | | | | | | | | | | | | | (8955) ~ (all_61_2 = all_61_12)
% 173.90/26.54 | | | | | | | | | | | | |
% 173.90/26.54 | | | | | | | | | | | | | REDUCE: (188), (8948) imply:
% 173.90/26.54 | | | | | | | | | | | | | (8956) ~ (all_61_8 = all_61_14)
% 173.90/26.54 | | | | | | | | | | | | |
% 173.90/26.54 | | | | | | | | | | | | | REDUCE: (180), (8945) imply:
% 173.90/26.54 | | | | | | | | | | | | | (8957) ~ (all_61_12 = all_22_1)
% 173.90/26.54 | | | | | | | | | | | | |
% 173.90/26.54 | | | | | | | | | | | | | REDUCE: (177), (8945) imply:
% 173.90/26.54 | | | | | | | | | | | | | (8958) ~ (all_61_14 = all_22_1)
% 173.90/26.54 | | | | | | | | | | | | |
% 173.90/26.54 | | | | | | | | | | | | | SIMP: (8958) implies:
% 173.90/26.54 | | | | | | | | | | | | | (8959) ~ (all_61_14 = all_22_1)
% 173.90/26.54 | | | | | | | | | | | | |
% 173.90/26.54 | | | | | | | | | | | | | REDUCE: (626), (8945) imply:
% 173.90/26.54 | | | | | | | | | | | | | (8960) ~ (all_22_1 = all_20_2)
% 173.90/26.54 | | | | | | | | | | | | |
% 173.90/26.54 | | | | | | | | | | | | | REDUCE: (8584), (8945) imply:
% 173.90/26.54 | | | | | | | | | | | | | (8961) ~ (all_22_1 = all_14_1)
% 173.90/26.54 | | | | | | | | | | | | |
% 173.90/26.54 | | | | | | | | | | | | | REDUCE: (5821), (8945) imply:
% 173.90/26.54 | | | | | | | | | | | | | (8962) ~ (all_22_1 = all_10_1)
% 173.90/26.54 | | | | | | | | | | | | |
% 173.90/26.54 | | | | | | | | | | | | | REDUCE: (8911), (8945) imply:
% 173.90/26.54 | | | | | | | | | | | | | (8963) ~ (all_22_1 = e0)
% 173.90/26.54 | | | | | | | | | | | | |
% 173.90/26.54 | | | | | | | | | | | | | REDUCE: (8613), (8941) imply:
% 173.90/26.54 | | | | | | | | | | | | | (8964) op(all_61_12, e2) = all_65_57
% 173.90/26.54 | | | | | | | | | | | | |
% 173.90/26.54 | | | | | | | | | | | | | REDUCE: (684), (8941) imply:
% 173.90/26.54 | | | | | | | | | | | | | (8965) op(all_61_12, e1) = all_65_53
% 173.90/26.54 | | | | | | | | | | | | |
% 173.90/26.54 | | | | | | | | | | | | | REDUCE: (685), (8941) imply:
% 173.90/26.54 | | | | | | | | | | | | | (8966) op(all_61_12, e0) = all_65_55
% 173.90/26.54 | | | | | | | | | | | | |
% 173.90/26.54 | | | | | | | | | | | | | REDUCE: (687), (8943), (8947) imply:
% 173.90/26.54 | | | | | | | | | | | | | (8967) op(all_22_1, e2) = all_20_2
% 173.90/26.54 | | | | | | | | | | | | |
% 173.90/26.54 | | | | | | | | | | | | | REDUCE: (5852), (8943) imply:
% 173.90/26.54 | | | | | | | | | | | | | (8968) op(all_22_1, e1) = all_65_67
% 173.90/26.54 | | | | | | | | | | | | |
% 173.90/26.54 | | | | | | | | | | | | | REDUCE: (689), (8943) imply:
% 173.90/26.54 | | | | | | | | | | | | | (8969) op(all_22_1, e0) = all_65_63
% 173.90/26.54 | | | | | | | | | | | | |
% 173.90/26.54 | | | | | | | | | | | | | REDUCE: (690), (8948) imply:
% 173.90/26.54 | | | | | | | | | | | | | (8970) op(all_61_14, e3) = all_65_65
% 173.90/26.54 | | | | | | | | | | | | |
% 173.90/26.54 | | | | | | | | | | | | | REDUCE: (5833), (8943), (8948) imply:
% 173.90/26.54 | | | | | | | | | | | | | (8971) op(all_61_14, e1) = all_22_1
% 173.90/26.54 | | | | | | | | | | | | |
% 173.90/26.54 | | | | | | | | | | | | | REDUCE: (693), (8948) imply:
% 173.90/26.54 | | | | | | | | | | | | | (8972) op(all_61_14, e0) = all_65_71
% 173.90/26.54 | | | | | | | | | | | | |
% 173.90/26.54 | | | | | | | | | | | | | REDUCE: (663), (8945) imply:
% 173.90/26.54 | | | | | | | | | | | | | (8973) op(all_22_1, e2) = all_65_29
% 173.90/26.54 | | | | | | | | | | | | |
% 173.90/26.54 | | | | | | | | | | | | | REDUCE: (664), (8945) imply:
% 173.90/26.54 | | | | | | | | | | | | | (8974) op(all_22_1, e1) = all_65_30
% 173.90/26.54 | | | | | | | | | | | | |
% 173.90/26.54 | | | | | | | | | | | | | REDUCE: (665), (8945) imply:
% 173.90/26.54 | | | | | | | | | | | | | (8975) op(all_22_1, e0) = all_65_31
% 173.90/26.54 | | | | | | | | | | | | |
% 173.90/26.54 | | | | | | | | | | | | | REDUCE: (711), (8943) imply:
% 173.90/26.54 | | | | | | | | | | | | | (8976) op(e3, all_22_1) = all_65_13
% 173.90/26.54 | | | | | | | | | | | | |
% 173.90/26.54 | | | | | | | | | | | | | REDUCE: (712), (8948) imply:
% 173.90/26.54 | | | | | | | | | | | | | (8977) op(e3, all_61_14) = all_65_14
% 173.90/26.54 | | | | | | | | | | | | |
% 173.90/26.54 | | | | | | | | | | | | | REDUCE: (8614), (8945) imply:
% 173.90/26.54 | | | | | | | | | | | | | (8978) op(e3, all_22_1) = all_65_19
% 173.90/26.54 | | | | | | | | | | | | |
% 173.90/26.54 | | | | | | | | | | | | | REDUCE: (727), (8941) imply:
% 173.90/26.54 | | | | | | | | | | | | | (8979) op(e2, all_61_12) = all_65_28
% 173.90/26.54 | | | | | | | | | | | | |
% 173.90/26.54 | | | | | | | | | | | | | REDUCE: (729), (8948) imply:
% 173.90/26.54 | | | | | | | | | | | | | (8980) op(e2, all_61_14) = all_65_30
% 173.90/26.54 | | | | | | | | | | | | |
% 173.90/26.54 | | | | | | | | | | | | | REDUCE: (744), (8941) imply:
% 173.90/26.54 | | | | | | | | | | | | | (8981) op(e1, all_61_12) = all_65_44
% 173.90/26.54 | | | | | | | | | | | | |
% 173.90/26.54 | | | | | | | | | | | | | REDUCE: (745), (8943) imply:
% 173.90/26.54 | | | | | | | | | | | | | (8982) op(e1, all_22_1) = all_65_45
% 173.90/26.54 | | | | | | | | | | | | |
% 173.90/26.54 | | | | | | | | | | | | | REDUCE: (739), (8945) imply:
% 173.90/26.54 | | | | | | | | | | | | | (8983) op(e1, all_22_1) = all_65_39
% 173.90/26.54 | | | | | | | | | | | | |
% 173.90/26.54 | | | | | | | | | | | | | REDUCE: (761), (8941) imply:
% 173.90/26.54 | | | | | | | | | | | | | (8984) op(e0, all_61_12) = all_65_73
% 173.90/26.54 | | | | | | | | | | | | |
% 173.90/26.54 | | | | | | | | | | | | | REDUCE: (762), (8943) imply:
% 173.90/26.54 | | | | | | | | | | | | | (8985) op(e0, all_22_1) = all_65_75
% 173.90/26.54 | | | | | | | | | | | | |
% 173.90/26.54 | | | | | | | | | | | | | REDUCE: (763), (8948) imply:
% 173.90/26.54 | | | | | | | | | | | | | (8986) op(e0, all_61_14) = all_65_77
% 173.90/26.54 | | | | | | | | | | | | |
% 173.90/26.54 | | | | | | | | | | | | | REDUCE: (756), (8945) imply:
% 173.90/26.54 | | | | | | | | | | | | | (8987) op(e0, all_22_1) = all_65_63
% 173.90/26.54 | | | | | | | | | | | | |
% 173.90/26.54 | | | | | | | | | | | | | REDUCE: (226), (8941) imply:
% 173.90/26.54 | | | | | | | | | | | | | (8988) op(e0, e3) = all_61_12
% 173.90/26.54 | | | | | | | | | | | | |
% 173.90/26.54 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_75, all_65_63,
% 173.90/26.54 | | | | | | | | | | | | | all_22_1, e0, simplifying with (8985), (8987)
% 173.90/26.54 | | | | | | | | | | | | | gives:
% 173.90/26.54 | | | | | | | | | | | | | (8989) all_65_63 = all_65_75
% 173.90/26.54 | | | | | | | | | | | | |
% 173.90/26.54 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_71, all_65_77,
% 173.90/26.54 | | | | | | | | | | | | | all_61_14, e0, simplifying with (760), (8986)
% 173.90/26.54 | | | | | | | | | | | | | gives:
% 173.90/26.54 | | | | | | | | | | | | | (8990) all_65_71 = all_65_77
% 173.90/26.54 | | | | | | | | | | | | |
% 173.90/26.54 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_55, all_65_73,
% 173.90/26.54 | | | | | | | | | | | | | all_61_12, e0, simplifying with (752), (8984)
% 173.90/26.54 | | | | | | | | | | | | | gives:
% 173.90/26.54 | | | | | | | | | | | | | (8991) all_65_55 = all_65_73
% 173.90/26.54 | | | | | | | | | | | | |
% 173.90/26.54 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_45, all_65_39,
% 173.90/26.54 | | | | | | | | | | | | | all_22_1, e1, simplifying with (8982), (8983)
% 173.90/26.54 | | | | | | | | | | | | | gives:
% 173.90/26.54 | | | | | | | | | | | | | (8992) all_65_39 = all_65_45
% 173.90/26.54 | | | | | | | | | | | | |
% 173.90/26.54 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_39, all_65_30,
% 173.90/26.54 | | | | | | | | | | | | | all_61_14, e2, simplifying with (5854), (8980)
% 173.90/26.54 | | | | | | | | | | | | | gives:
% 173.90/26.54 | | | | | | | | | | | | | (8993) all_65_30 = all_65_39
% 173.90/26.54 | | | | | | | | | | | | |
% 173.90/26.54 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_19, all_65_28,
% 173.90/26.54 | | | | | | | | | | | | | all_61_12, e2, simplifying with (718), (8979)
% 173.90/26.54 | | | | | | | | | | | | | gives:
% 173.90/26.54 | | | | | | | | | | | | | (8994) all_65_19 = all_65_28
% 173.90/26.54 | | | | | | | | | | | | |
% 173.90/26.54 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_19, all_65_13,
% 173.90/26.54 | | | | | | | | | | | | | all_22_1, e3, simplifying with (8976), (8978)
% 173.90/26.54 | | | | | | | | | | | | | gives:
% 173.90/26.54 | | | | | | | | | | | | | (8995) all_65_13 = all_65_19
% 173.90/26.54 | | | | | | | | | | | | |
% 173.90/26.54 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_63, all_65_31, e0,
% 173.90/26.54 | | | | | | | | | | | | | all_22_1, simplifying with (8969), (8975) gives:
% 173.90/26.54 | | | | | | | | | | | | | (8996) all_65_31 = all_65_63
% 173.90/26.54 | | | | | | | | | | | | |
% 173.90/26.54 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_67, all_65_30, e1,
% 173.90/26.54 | | | | | | | | | | | | | all_22_1, simplifying with (8968), (8974) gives:
% 173.90/26.54 | | | | | | | | | | | | | (8997) all_65_30 = all_65_67
% 173.90/26.54 | | | | | | | | | | | | |
% 173.90/26.54 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_20_2, all_65_29, e2,
% 173.90/26.54 | | | | | | | | | | | | | all_22_1, simplifying with (8967), (8973) gives:
% 173.90/26.54 | | | | | | | | | | | | | (8998) all_65_29 = all_20_2
% 173.90/26.54 | | | | | | | | | | | | |
% 173.90/26.54 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_47, all_65_71, e0,
% 173.90/26.54 | | | | | | | | | | | | | all_61_14, simplifying with (681), (8972) gives:
% 173.90/26.54 | | | | | | | | | | | | | (8999) all_65_47 = all_65_71
% 173.90/26.54 | | | | | | | | | | | | |
% 173.90/26.54 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_46, all_22_1, e1,
% 173.90/26.54 | | | | | | | | | | | | | all_61_14, simplifying with (680), (8971) gives:
% 173.90/26.54 | | | | | | | | | | | | | (9000) all_65_46 = all_22_1
% 173.90/26.54 | | | | | | | | | | | | |
% 173.90/26.54 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_44, all_65_65, e3,
% 173.90/26.54 | | | | | | | | | | | | | all_61_14, simplifying with (678), (8970) gives:
% 173.90/26.54 | | | | | | | | | | | | | (9001) all_65_44 = all_65_65
% 173.90/26.54 | | | | | | | | | | | | |
% 173.90/26.54 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_15, all_65_55, e0,
% 173.90/26.54 | | | | | | | | | | | | | all_61_12, simplifying with (649), (8966) gives:
% 173.90/26.54 | | | | | | | | | | | | | (9002) all_65_15 = all_65_55
% 173.90/26.54 | | | | | | | | | | | | |
% 173.90/26.54 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_14, all_65_53, e1,
% 173.90/26.54 | | | | | | | | | | | | | all_61_12, simplifying with (648), (8965) gives:
% 173.90/26.54 | | | | | | | | | | | | | (9003) all_65_14 = all_65_53
% 173.90/26.54 | | | | | | | | | | | | |
% 173.90/26.54 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_13, all_65_57, e2,
% 173.90/26.54 | | | | | | | | | | | | | all_61_12, simplifying with (647), (8964) gives:
% 173.90/26.54 | | | | | | | | | | | | | (9004) all_65_13 = all_65_57
% 173.90/26.54 | | | | | | | | | | | | |
% 173.90/26.54 | | | | | | | | | | | | | COMBINE_EQS: (8995), (9004) imply:
% 173.90/26.54 | | | | | | | | | | | | | (9005) all_65_19 = all_65_57
% 173.90/26.54 | | | | | | | | | | | | |
% 173.90/26.54 | | | | | | | | | | | | | SIMP: (9005) implies:
% 173.90/26.54 | | | | | | | | | | | | | (9006) all_65_19 = all_65_57
% 173.90/26.54 | | | | | | | | | | | | |
% 173.90/26.54 | | | | | | | | | | | | | COMBINE_EQS: (8994), (9006) imply:
% 173.90/26.54 | | | | | | | | | | | | | (9007) all_65_28 = all_65_57
% 173.90/26.54 | | | | | | | | | | | | |
% 173.90/26.54 | | | | | | | | | | | | | COMBINE_EQS: (8993), (8997) imply:
% 173.90/26.54 | | | | | | | | | | | | | (9008) all_65_39 = all_65_67
% 173.90/26.54 | | | | | | | | | | | | |
% 173.90/26.54 | | | | | | | | | | | | | SIMP: (9008) implies:
% 173.90/26.54 | | | | | | | | | | | | | (9009) all_65_39 = all_65_67
% 173.90/26.54 | | | | | | | | | | | | |
% 173.90/26.54 | | | | | | | | | | | | | COMBINE_EQS: (8992), (9009) imply:
% 173.90/26.54 | | | | | | | | | | | | | (9010) all_65_45 = all_65_67
% 173.90/26.54 | | | | | | | | | | | | |
% 173.90/26.54 | | | | | | | | | | | | | COMBINE_EQS: (8990), (8999) imply:
% 173.90/26.54 | | | | | | | | | | | | | (9011) all_65_47 = all_65_77
% 173.90/26.54 | | | | | | | | | | | | |
% 173.90/26.54 | | | | | | | | | | | | | COMBINE_EQS: (8989), (8996) imply:
% 173.90/26.54 | | | | | | | | | | | | | (9012) all_65_31 = all_65_75
% 173.90/26.54 | | | | | | | | | | | | |
% 173.90/26.54 | | | | | | | | | | | | | COMBINE_EQS: (8991), (9002) imply:
% 173.90/26.54 | | | | | | | | | | | | | (9013) all_65_15 = all_65_73
% 173.90/26.54 | | | | | | | | | | | | |
% 173.90/26.54 | | | | | | | | | | | | | REDUCE: (8969), (8989) imply:
% 173.90/26.54 | | | | | | | | | | | | | (9014) op(all_22_1, e0) = all_65_75
% 173.90/26.54 | | | | | | | | | | | | |
% 173.90/26.54 | | | | | | | | | | | | | REDUCE: (8594), (9006) imply:
% 173.90/26.54 | | | | | | | | | | | | | (9015) op(all_14_1, e0) = all_65_57
% 173.90/26.54 | | | | | | | | | | | | |
% 173.90/26.54 | | | | | | | | | | | | | REDUCE: (5827), (9009) imply:
% 173.90/26.54 | | | | | | | | | | | | | (9016) op(all_10_1, e0) = all_65_67
% 173.90/26.54 | | | | | | | | | | | | |
% 173.90/26.54 | | | | | | | | | | | | | REDUCE: (8977), (9003) imply:
% 173.90/26.54 | | | | | | | | | | | | | (9017) op(e3, all_61_14) = all_65_53
% 173.90/26.54 | | | | | | | | | | | | |
% 173.90/26.54 | | | | | | | | | | | | | REDUCE: (8978), (9006) imply:
% 173.90/26.54 | | | | | | | | | | | | | (9018) op(e3, all_22_1) = all_65_57
% 173.90/26.54 | | | | | | | | | | | | |
% 173.90/26.54 | | | | | | | | | | | | | REDUCE: (713), (9013) imply:
% 173.90/26.54 | | | | | | | | | | | | | (9019) op(e3, all_20_2) = all_65_73
% 173.90/26.54 | | | | | | | | | | | | |
% 173.90/26.54 | | | | | | | | | | | | | REDUCE: (8979), (9007) imply:
% 173.90/26.54 | | | | | | | | | | | | | (9020) op(e2, all_61_12) = all_65_57
% 173.90/26.54 | | | | | | | | | | | | |
% 173.90/26.54 | | | | | | | | | | | | | REDUCE: (730), (9012) imply:
% 173.90/26.54 | | | | | | | | | | | | | (9021) op(e2, all_20_2) = all_65_75
% 173.90/26.54 | | | | | | | | | | | | |
% 173.90/26.54 | | | | | | | | | | | | | REDUCE: (8981), (9001) imply:
% 173.90/26.55 | | | | | | | | | | | | | (9022) op(e1, all_61_12) = all_65_65
% 173.90/26.55 | | | | | | | | | | | | |
% 173.90/26.55 | | | | | | | | | | | | | REDUCE: (747), (9011) imply:
% 173.90/26.55 | | | | | | | | | | | | | (9023) op(e1, all_20_2) = all_65_77
% 173.90/26.55 | | | | | | | | | | | | |
% 173.90/26.55 | | | | | | | | | | | | | BETA: splitting (89) gives:
% 173.90/26.55 | | | | | | | | | | | | |
% 173.90/26.55 | | | | | | | | | | | | | Case 1:
% 173.90/26.55 | | | | | | | | | | | | | |
% 173.90/26.55 | | | | | | | | | | | | | | (9024) ~ (all_28_2 = e3)
% 173.90/26.55 | | | | | | | | | | | | | |
% 173.90/26.55 | | | | | | | | | | | | | | REDUCE: (563), (9024) imply:
% 173.90/26.55 | | | | | | | | | | | | | | (9025) ~ (all_20_2 = e3)
% 173.90/26.55 | | | | | | | | | | | | | |
% 173.90/26.55 | | | | | | | | | | | | | | BETA: splitting (110) gives:
% 173.90/26.55 | | | | | | | | | | | | | |
% 173.90/26.55 | | | | | | | | | | | | | | Case 1:
% 173.90/26.55 | | | | | | | | | | | | | | |
% 173.90/26.55 | | | | | | | | | | | | | | | (9026) ~ (all_42_2 = e1)
% 173.90/26.55 | | | | | | | | | | | | | | |
% 173.90/26.55 | | | | | | | | | | | | | | | REDUCE: (532), (9026) imply:
% 173.90/26.55 | | | | | | | | | | | | | | | (9027) ~ (all_20_2 = e1)
% 173.90/26.55 | | | | | | | | | | | | | | |
% 173.90/26.55 | | | | | | | | | | | | | | | BETA: splitting (256) gives:
% 173.90/26.55 | | | | | | | | | | | | | | |
% 173.90/26.55 | | | | | | | | | | | | | | | Case 1:
% 173.90/26.55 | | | | | | | | | | | | | | | |
% 173.90/26.55 | | | | | | | | | | | | | | | | (9028) all_63_15 = e3
% 173.90/26.55 | | | | | | | | | | | | | | | |
% 173.90/26.55 | | | | | | | | | | | | | | | | REF_CLOSE: (422), (9025), (9028) are inconsistent by
% 173.90/26.55 | | | | | | | | | | | | | | | | sub-proof #501.
% 173.90/26.55 | | | | | | | | | | | | | | | |
% 173.90/26.55 | | | | | | | | | | | | | | | Case 2:
% 173.90/26.55 | | | | | | | | | | | | | | | |
% 173.90/26.55 | | | | | | | | | | | | | | | | (9029) all_63_15 = e2 | all_63_15 = e1 | all_63_15 = e0
% 173.90/26.55 | | | | | | | | | | | | | | | |
% 173.90/26.55 | | | | | | | | | | | | | | | | BETA: splitting (9029) gives:
% 173.90/26.55 | | | | | | | | | | | | | | | |
% 173.90/26.55 | | | | | | | | | | | | | | | | Case 1:
% 173.90/26.55 | | | | | | | | | | | | | | | | |
% 173.90/26.55 | | | | | | | | | | | | | | | | | (9030) all_63_15 = e2
% 173.90/26.55 | | | | | | | | | | | | | | | | |
% 173.90/26.55 | | | | | | | | | | | | | | | | | REF_CLOSE: (422), (8617), (9030) are inconsistent by
% 173.90/26.55 | | | | | | | | | | | | | | | | | sub-proof #500.
% 173.90/26.55 | | | | | | | | | | | | | | | | |
% 173.90/26.55 | | | | | | | | | | | | | | | | Case 2:
% 173.90/26.55 | | | | | | | | | | | | | | | | |
% 173.90/26.55 | | | | | | | | | | | | | | | | | (9031) ~ (all_63_15 = e2)
% 173.90/26.55 | | | | | | | | | | | | | | | | | (9032) all_63_15 = e1 | all_63_15 = e0
% 173.90/26.55 | | | | | | | | | | | | | | | | |
% 173.90/26.55 | | | | | | | | | | | | | | | | | BETA: splitting (9032) gives:
% 173.90/26.55 | | | | | | | | | | | | | | | | |
% 173.90/26.55 | | | | | | | | | | | | | | | | | Case 1:
% 173.90/26.55 | | | | | | | | | | | | | | | | | |
% 173.90/26.55 | | | | | | | | | | | | | | | | | | (9033) all_63_15 = e1
% 173.90/26.55 | | | | | | | | | | | | | | | | | |
% 173.90/26.55 | | | | | | | | | | | | | | | | | | REF_CLOSE: (422), (9027), (9033) are inconsistent by
% 173.90/26.55 | | | | | | | | | | | | | | | | | | sub-proof #499.
% 173.90/26.55 | | | | | | | | | | | | | | | | | |
% 173.90/26.55 | | | | | | | | | | | | | | | | | Case 2:
% 173.90/26.55 | | | | | | | | | | | | | | | | | |
% 173.90/26.55 | | | | | | | | | | | | | | | | | | (9034) all_63_15 = e0
% 173.90/26.55 | | | | | | | | | | | | | | | | | |
% 173.90/26.55 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (422), (9034) imply:
% 173.90/26.55 | | | | | | | | | | | | | | | | | | (9035) all_20_2 = e0
% 173.90/26.55 | | | | | | | | | | | | | | | | | |
% 173.90/26.55 | | | | | | | | | | | | | | | | | | SIMP: (9035) implies:
% 173.90/26.55 | | | | | | | | | | | | | | | | | | (9036) all_20_2 = e0
% 173.90/26.55 | | | | | | | | | | | | | | | | | |
% 173.90/26.55 | | | | | | | | | | | | | | | | | | REDUCE: (625), (9036) imply:
% 173.90/26.55 | | | | | | | | | | | | | | | | | | (9037) ~ (all_61_12 = e0)
% 173.90/26.55 | | | | | | | | | | | | | | | | | |
% 173.90/26.55 | | | | | | | | | | | | | | | | | | REDUCE: (627), (9036) imply:
% 173.90/26.55 | | | | | | | | | | | | | | | | | | (9038) ~ (all_61_14 = e0)
% 173.90/26.55 | | | | | | | | | | | | | | | | | |
% 173.90/26.55 | | | | | | | | | | | | | | | | | | REDUCE: (8617), (9036) imply:
% 173.90/26.55 | | | | | | | | | | | | | | | | | | (9039) ~ (e2 = e0)
% 173.90/26.55 | | | | | | | | | | | | | | | | | |
% 173.90/26.55 | | | | | | | | | | | | | | | | | | REDUCE: (8967), (9036) imply:
% 173.90/26.55 | | | | | | | | | | | | | | | | | | (9040) op(all_22_1, e2) = e0
% 173.90/26.55 | | | | | | | | | | | | | | | | | |
% 173.90/26.55 | | | | | | | | | | | | | | | | | | REDUCE: (9019), (9036) imply:
% 173.90/26.55 | | | | | | | | | | | | | | | | | | (9041) op(e3, e0) = all_65_73
% 173.90/26.55 | | | | | | | | | | | | | | | | | |
% 173.90/26.55 | | | | | | | | | | | | | | | | | | REDUCE: (9021), (9036) imply:
% 173.90/26.55 | | | | | | | | | | | | | | | | | | (9042) op(e2, e0) = all_65_75
% 173.90/26.55 | | | | | | | | | | | | | | | | | |
% 173.90/26.55 | | | | | | | | | | | | | | | | | | REDUCE: (9023), (9036) imply:
% 173.90/26.55 | | | | | | | | | | | | | | | | | | (9043) op(e1, e0) = all_65_77
% 173.90/26.55 | | | | | | | | | | | | | | | | | |
% 173.90/26.55 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_14, all_65_77, e0,
% 173.90/26.55 | | | | | | | | | | | | | | | | | | e1, simplifying with (227), (9043) gives:
% 173.90/26.55 | | | | | | | | | | | | | | | | | | (9044) all_65_77 = all_61_14
% 173.90/26.55 | | | | | | | | | | | | | | | | | |
% 173.90/26.55 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_22_1, all_65_75, e0,
% 173.90/26.55 | | | | | | | | | | | | | | | | | | e2, simplifying with (8907), (9042) gives:
% 173.90/26.55 | | | | | | | | | | | | | | | | | | (9045) all_65_75 = all_22_1
% 173.90/26.55 | | | | | | | | | | | | | | | | | |
% 173.90/26.55 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_12, all_65_73, e0,
% 173.90/26.55 | | | | | | | | | | | | | | | | | | e3, simplifying with (235), (9041) gives:
% 173.90/26.55 | | | | | | | | | | | | | | | | | | (9046) all_65_73 = all_61_12
% 173.90/26.55 | | | | | | | | | | | | | | | | | |
% 173.90/26.55 | | | | | | | | | | | | | | | | | | BETA: splitting (160) gives:
% 173.90/26.55 | | | | | | | | | | | | | | | | | |
% 173.90/26.55 | | | | | | | | | | | | | | | | | | Case 1:
% 173.90/26.55 | | | | | | | | | | | | | | | | | | |
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | (9047) ~ (all_58_2 = e0)
% 173.90/26.55 | | | | | | | | | | | | | | | | | | |
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | REDUCE: (478), (9047) imply:
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | (9048) ~ (all_52_2 = e0)
% 173.90/26.55 | | | | | | | | | | | | | | | | | | |
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | BETA: splitting (163) gives:
% 173.90/26.55 | | | | | | | | | | | | | | | | | | |
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | Case 1:
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | |
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | (9049) ~ (all_58_1 = e0)
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | |
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | REDUCE: (481), (9049) imply:
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | (9050) ~ (all_52_1 = e0)
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | |
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | BETA: splitting (162) gives:
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | |
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | (9051) ~ (all_58_2 = e3)
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | REDUCE: (478), (9051) imply:
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | (9052) ~ (all_52_2 = e3)
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (161) gives:
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | (9053) ~ (all_58_2 = e2)
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (478), (9053) imply:
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | (9054) ~ (all_52_2 = e2)
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (19), (50), (149), (538), (748), (5784),
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | (8923), (9048), (9052), (9054) are inconsistent by
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | sub-proof #270.
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | (9055) all_58_1 = e1
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (481), (9055) imply:
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | (9056) all_52_1 = e1
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | SIMP: (9056) implies:
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | (9057) all_52_1 = e1
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (731), (9057) imply:
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | (9058) op(e2, e1) = unit
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_10_1, unit, e1, e2,
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | simplifying with (5838), (9058) gives:
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | (9059) all_10_1 = unit
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5809), (9059) imply:
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | (9060) all_63_6 = unit
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8962), (9059) imply:
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | (9061) ~ (all_22_1 = unit)
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8589), (9059) imply:
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | (9062) ~ (all_14_1 = unit)
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5823), (9059) imply:
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | (9063) ~ (unit = e2)
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8913), (9059) imply:
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | (9064) ~ (unit = e0)
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9016), (9059) imply:
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | (9065) op(unit, e0) = all_65_67
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (265) gives:
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | (9066) all_63_6 = e3
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9060), (9066) imply:
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | (9067) unit = e3
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (851), (9067) imply:
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | (9068) $false
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (9068) is inconsistent.
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | (9069) all_63_6 = e2 | all_63_6 = e1 | all_63_6 = e0
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9069) gives:
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | (9070) all_63_6 = e2
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9060), (9070) imply:
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | (9071) unit = e2
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9063), (9071) imply:
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | (9072) $false
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (9072) is inconsistent.
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | (9073) all_63_6 = e1 | all_63_6 = e0
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9073) gives:
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | (9074) all_63_6 = e1
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9060), (9074) imply:
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | (9075) unit = e1
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9061), (9075) imply:
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | (9076) ~ (all_22_1 = e1)
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9062), (9075) imply:
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | (9077) ~ (all_14_1 = e1)
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9065), (9075) imply:
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | (9078) op(e1, e0) = all_65_67
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7), (9075) imply:
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | (9079) op(e1, e0) = e0
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5), (9075) imply:
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | (9080) op(e2, e1) = e2
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (270) gives:
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | (9081) all_63_1 = e3
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8578), (9081) imply:
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | (9082) all_14_1 = e3
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8580), (9082) imply:
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | (9083) ~ (all_61_2 = e3)
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8588), (9082) imply:
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | (9084) ~ (all_61_12 = e3)
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8961), (9082) imply:
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | (9085) ~ (all_22_1 = e3)
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9015), (9082) imply:
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | (9086) op(e3, e0) = all_65_57
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8541), (9082) imply:
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | (9087) op(e3, e2) = e3
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (259) gives:
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9088) all_63_12 = e3
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8953), (9088) imply:
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9089) all_61_12 = e3
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9084), (9089) imply:
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9090) $false
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (9090) is inconsistent.
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9091) all_63_12 = e2 | all_63_12 = e1 | all_63_12 = e0
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (263) gives:
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9092) all_63_8 = e3
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (499), (9092) imply:
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9093) all_61_2 = e3
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9083), (9093) imply:
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9094) $false
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (9094) is inconsistent.
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9095) all_63_8 = e2 | all_63_8 = e1 | all_63_8 = e0
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (258) gives:
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9096) all_63_13 = e3
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8952), (9096) imply:
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9097) all_22_1 = e3
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9085), (9097) imply:
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9098) $false
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (9098) is inconsistent.
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9099) all_63_13 = e2 | all_63_13 = e1 | all_63_13 = e0
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9099) gives:
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9100) all_63_13 = e2
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8952), (9100) imply:
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9101) all_22_1 = e2
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8968), (9101) imply:
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9102) op(e2, e1) = all_65_67
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9018), (9101) imply:
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9103) op(e3, e2) = all_65_57
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9091) gives:
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9104) all_63_12 = e2
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8953), (9104) imply:
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9105) all_61_12 = e2
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8545), (9105) imply:
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9106) $false
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (9106) is inconsistent.
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9107) all_63_12 = e1 | all_63_12 = e0
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9107) gives:
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9108) all_63_12 = e1
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8953), (9108) imply:
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9109) all_61_12 = e1
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8955), (9109) imply:
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9110) ~ (all_61_2 = e1)
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (235), (9109) imply:
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9111) op(e3, e0) = e1
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9020), (9109) imply:
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9112) op(e2, e1) = all_65_57
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9095) gives:
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9113) all_63_8 = e2
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (499), (9113) imply:
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9114) all_61_2 = e2
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5772), (9114) imply:
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9115) $false
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (9115) is inconsistent.
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9116) all_63_8 = e1 | all_63_8 = e0
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9116) gives:
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9117) all_63_8 = e1
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (499), (9117) imply:
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9118) all_61_2 = e1
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9110), (9118) imply:
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9119) $false
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (9119) is inconsistent.
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9120) all_63_8 = e0
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (499), (9120) imply:
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9121) all_61_2 = e0
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (706), (9121) imply:
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9122) op(e3, e0) = all_65_8
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e0, all_65_67, e0, e1,
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (9078), (9079) gives:
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9123) all_65_67 = e0
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e2, all_65_67, e1, e2,
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (9080), (9102) gives:
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9124) all_65_67 = e2
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e2, all_65_57, e1, e2,
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (9080), (9112) gives:
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9125) all_65_57 = e2
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_57, all_65_8, e0,
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, simplifying with (9086), (9122) gives:
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9126) all_65_8 = all_65_57
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e1, all_65_8, e0, e3,
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (9111), (9122) gives:
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9127) all_65_8 = e1
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e3, all_65_57, e2, e3,
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (9087), (9103) gives:
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9128) all_65_57 = e3
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9126), (9127) imply:
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9129) all_65_57 = e1
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9129) implies:
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9130) all_65_57 = e1
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9128), (9130) imply:
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9131) e3 = e1
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9125), (9128) imply:
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9132) e3 = e2
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9123), (9124) imply:
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9133) e2 = e0
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9133) implies:
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9134) e2 = e0
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9131), (9132) imply:
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9135) e2 = e1
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9135) implies:
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9136) e2 = e1
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (9134), (9136) are inconsistent by sub-proof
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #403.
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9137) all_63_12 = e0
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8953), (9137) imply:
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9138) all_61_12 = e0
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9037), (9138) imply:
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9139) $false
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (9139) is inconsistent.
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9140) all_63_13 = e1 | all_63_13 = e0
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8952), (8963), (9076), (9140) are inconsistent by
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #416.
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | (9141) ~ (all_63_1 = e3)
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8578), (9141) imply:
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | (9142) ~ (all_14_1 = e3)
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (267), (8577), (8591), (8912), (9077), (9142) are
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #353.
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | (9143) all_63_6 = e0
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9060), (9143) imply:
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | (9144) unit = e0
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9064), (9144) imply:
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | (9145) $false
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (9145) is inconsistent.
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | End of split
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | (9146) all_58_2 = e3
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | (9147) all_58_0 = e1
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (484), (9147) imply:
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | (9148) all_52_0 = e1
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | SIMP: (9148) implies:
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | (9149) all_52_0 = e1
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (478), (9146) imply:
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | | (9150) all_52_2 = e3
% 173.90/26.55 | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | REDUCE: (628), (9149) imply:
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | (9151) ~ (all_52_1 = e1)
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | SIMP: (9151) implies:
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | (9152) ~ (all_52_1 = e1)
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | REDUCE: (631), (9150) imply:
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | (9153) ~ (all_52_1 = e3)
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | REDUCE: (714), (9149) imply:
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | (9154) op(e3, e1) = unit
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | REDUCE: (748), (9150) imply:
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | (9155) op(e1, e3) = unit
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (150) gives:
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | (9156) all_56_1 = e3
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (536), (9153), (9156) are inconsistent by
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | sub-proof #455.
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | (9157) all_56_1 = e2 | all_56_1 = e1 | all_56_1 = e0
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9157) gives:
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | (9158) all_56_1 = e2
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (536), (9158) imply:
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | (9159) all_52_1 = e2
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9159) implies:
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | (9160) all_52_1 = e2
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (731), (9160) imply:
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | (9161) op(e2, e2) = unit
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_2, unit, e3, e1,
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (230), (9155) gives:
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | (9162) all_61_2 = unit
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e0, unit, e2, e2,
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (8923), (9161) gives:
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | (9163) unit = e0
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_8, unit, e1, e3,
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (236), (9154) gives:
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | (9164) all_61_8 = unit
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9163), (9164) imply:
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | (9165) all_61_8 = e0
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9162), (9163) imply:
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | (9166) all_61_2 = e0
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (187), (9165) imply:
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | (9167) ~ (all_61_12 = e0)
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8956), (9165) imply:
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | (9168) ~ (all_61_14 = e0)
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8586), (9165) imply:
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | (9169) ~ (all_14_1 = e0)
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5817), (9165) imply:
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | (9170) ~ (all_10_1 = e0)
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (757), (9166) imply:
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | (9171) op(e0, e0) = all_65_65
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (751), (9165) imply:
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | (9172) op(e0, e0) = all_65_53
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8559) gives:
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | (9173) ~ (all_26_1 = e1)
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8576), (9173) imply:
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | (9174) ~ (all_14_1 = e1)
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (267) gives:
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | (9175) all_63_4 = e3
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8577), (9175) imply:
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | (9176) all_14_1 = e3
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8588), (9176) imply:
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | (9177) ~ (all_61_12 = e3)
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8920), (9176) imply:
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | (9178) op(e3, e3) = e0
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (268) gives:
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | (9179) all_63_3 = e3
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (491), (9179) imply:
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | (9180) all_61_12 = e3
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9177), (9180) imply:
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | (9181) $false
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (9181) is inconsistent.
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | (9182) all_63_3 = e2 | all_63_3 = e1 | all_63_3 = e0
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9182) gives:
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9183) all_63_3 = e2
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (491), (9183) imply:
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9184) all_61_12 = e2
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8545), (9184) imply:
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9185) $false
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (9185) is inconsistent.
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9186) all_63_3 = e1 | all_63_3 = e0
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9186) gives:
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9187) all_63_3 = e1
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (491), (9187) imply:
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9188) all_61_12 = e1
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (179), (9188) imply:
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9189) ~ (all_61_14 = e1)
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9189) implies:
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9190) ~ (all_61_14 = e1)
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (260) gives:
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9191) all_63_11 = e3
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (505), (9191) imply:
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9192) all_61_14 = e3
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9192) implies:
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9193) all_61_14 = e3
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8970), (9193) imply:
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9194) op(e3, e3) = all_65_65
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9017), (9193) imply:
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9195) op(e3, e3) = all_65_53
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e0, all_65_65, e3, e3,
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (9178), (9194) gives:
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9196) all_65_65 = e0
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e2, all_65_53, e3, e3,
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (8551), (9195) gives:
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9197) all_65_53 = e2
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_65, all_65_53, e3,
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, simplifying with (9194), (9195) gives:
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9198) all_65_53 = all_65_65
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9197), (9198) imply:
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9199) all_65_65 = e2
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9199) implies:
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9200) all_65_65 = e2
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9196), (9200) imply:
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9201) e2 = e0
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (19), (9201) imply:
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9202) $false
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (9202) is inconsistent.
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9203) all_63_11 = e2 | all_63_11 = e1 | all_63_11 = e0
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (505), (5776), (9038), (9190), (9203) are
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #521.
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9204) all_63_3 = e0
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (491), (9204) imply:
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9205) all_61_12 = e0
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9037), (9205) imply:
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9206) $false
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (9206) is inconsistent.
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | (9207) all_63_4 = e2 | all_63_4 = e1 | all_63_4 = e0
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8577), (8591), (8912), (9174), (9207) are
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #354.
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | (9208) all_26_1 = e1
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | (9209) ~ (all_26_0 = e0) & op(e1, e3) = all_26_0 &
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_26_0)
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9209) implies:
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | (9210) op(e1, e3) = all_26_0
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8576), (9208) imply:
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | (9211) all_14_1 = e1
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9211) implies:
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | (9212) all_14_1 = e1
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8588), (9212) imply:
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | (9213) ~ (all_61_12 = e1)
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8589), (9212) imply:
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | (9214) ~ (all_10_1 = e1)
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9214) implies:
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | (9215) ~ (all_10_1 = e1)
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8915), (9212) imply:
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | (9216) op(e1, e3) = e0
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (259) gives:
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | (9217) all_63_12 = e3
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8953), (9217) imply:
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | (9218) all_61_12 = e3
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8965), (9218) imply:
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | (9219) op(e3, e1) = all_65_53
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9022), (9218) imply:
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | (9220) op(e1, e3) = all_65_65
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (50), (265), (5769), (5809), (5823), (8913),
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | (9171), (9172), (9210), (9215), (9216), (9219),
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | (9220) are inconsistent by sub-proof #235.
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | (9221) all_63_12 = e2 | all_63_12 = e1 | all_63_12 = e0
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8545), (8953), (9037), (9213), (9221) are
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #233.
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | (9222) all_56_1 = e1 | all_56_1 = e0
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (536), (9050), (9152), (9222) are inconsistent by
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #454.
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | End of split
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | End of split
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | Case 2:
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | (9223) all_58_3 = e2
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | (9224) all_58_1 = e0
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (481), (9224) imply:
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | (9225) all_52_1 = e0
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | SIMP: (9225) implies:
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | (9226) all_52_1 = e0
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (475), (9223) imply:
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | (9227) all_52_3 = e2
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | SIMP: (9227) implies:
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | (9228) all_52_3 = e2
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | REDUCE: (731), (9226) imply:
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | (9229) op(e2, e0) = unit
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (19), (50), (8907), (9040), (9229) are
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #407.
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | End of split
% 173.90/26.56 | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | Case 2:
% 173.90/26.56 | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | (9230) all_58_2 = e0
% 173.90/26.56 | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (478), (9230) imply:
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | (9231) all_52_2 = e0
% 173.90/26.56 | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | REDUCE: (748), (9231) imply:
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | (9232) op(e1, e0) = unit
% 173.90/26.56 | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_14, unit, e0, e1,
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | simplifying with (227), (9232) gives:
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | (9233) all_61_14 = unit
% 173.90/26.56 | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8951), (9233) imply:
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | (9234) all_63_14 = unit
% 173.90/26.56 | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | REDUCE: (179), (9233) imply:
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | (9235) ~ (all_61_12 = unit)
% 173.90/26.56 | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | REDUCE: (5816), (9233) imply:
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | (9236) ~ (all_10_1 = unit)
% 173.90/26.56 | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | SIMP: (9236) implies:
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | (9237) ~ (all_10_1 = unit)
% 173.90/26.56 | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | REDUCE: (5776), (9233) imply:
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | (9238) ~ (unit = e2)
% 173.90/26.56 | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | REDUCE: (9038), (9233) imply:
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | (9239) ~ (unit = e0)
% 173.90/26.56 | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | BETA: splitting (257) gives:
% 173.90/26.56 | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | Case 1:
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | (9240) all_63_14 = e3
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9234), (9240) imply:
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | (9241) unit = e3
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | REDUCE: (851), (9241) imply:
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | (9242) $false
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | CLOSE: (9242) is inconsistent.
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | Case 2:
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | (9243) all_63_14 = e2 | all_63_14 = e1 | all_63_14 = e0
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | BETA: splitting (9243) gives:
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | (9244) all_63_14 = e2
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9234), (9244) imply:
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | (9245) unit = e2
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | REDUCE: (9238), (9245) imply:
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | (9246) $false
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | CLOSE: (9246) is inconsistent.
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | (9247) all_63_14 = e1 | all_63_14 = e0
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9247) gives:
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | (9248) all_63_14 = e1
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9234), (9248) imply:
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | (9249) unit = e1
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9235), (9249) imply:
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | (9250) ~ (all_61_12 = e1)
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9237), (9249) imply:
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | (9251) ~ (all_10_1 = e1)
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (259) gives:
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | (9252) all_63_12 = e3
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8953), (9252) imply:
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | (9253) all_61_12 = e3
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8955), (9253) imply:
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | (9254) ~ (all_61_2 = e3)
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (187), (9253) imply:
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | (9255) ~ (all_61_8 = e3)
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8588), (9253) imply:
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | (9256) ~ (all_14_1 = e3)
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9256) implies:
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | (9257) ~ (all_14_1 = e3)
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8965), (9253) imply:
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | (9258) op(e3, e1) = all_65_53
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9022), (9253) imply:
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | (9259) op(e1, e3) = all_65_65
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (263) gives:
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | (9260) all_63_8 = e3
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (499), (9260) imply:
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | (9261) all_61_2 = e3
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9254), (9261) imply:
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | (9262) $false
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (9262) is inconsistent.
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | (9263) all_63_8 = e2 | all_63_8 = e1 | all_63_8 = e0
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (270) gives:
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | (9264) all_63_1 = e3
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8578), (9264) imply:
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | (9265) all_14_1 = e3
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9257), (9265) imply:
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | (9266) $false
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (9266) is inconsistent.
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | (9267) all_63_1 = e2 | all_63_1 = e1 | all_63_1 = e0
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9267) gives:
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | (9268) all_63_1 = e2
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8578), (9268) imply:
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | (9269) all_14_1 = e2
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8591), (9269) imply:
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | (9270) $false
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (9270) is inconsistent.
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | (9271) all_63_1 = e1 | all_63_1 = e0
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9271) gives:
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9272) all_63_1 = e1
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8578), (9272) imply:
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9273) all_14_1 = e1
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8576), (9273) imply:
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9274) all_26_1 = e1
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8580), (9273) imply:
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9275) ~ (all_61_2 = e1)
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8586), (9273) imply:
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9276) ~ (all_61_8 = e1)
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (269) gives:
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9277) all_63_2 = e3
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (489), (9277) imply:
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9278) all_61_8 = e3
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9255), (9278) imply:
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9279) $false
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (9279) is inconsistent.
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9280) all_63_2 = e2 | all_63_2 = e1 | all_63_2 = e0
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9280) gives:
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9281) all_63_2 = e2
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (489), (9281) imply:
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9282) all_61_8 = e2
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5773), (9282) imply:
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9283) $false
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (9283) is inconsistent.
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9284) all_63_2 = e1 | all_63_2 = e0
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8559) gives:
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9285) ~ (all_26_1 = e1)
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9274), (9285) imply:
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9286) $false
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (9286) is inconsistent.
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9287) ~ (all_26_0 = e0) & op(e1, e3) = all_26_0 &
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_26_0)
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9287) implies:
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9288) op(e1, e3) = all_26_0
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9263) gives:
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9289) all_63_8 = e2
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (499), (9289) imply:
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9290) all_61_2 = e2
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5772), (9290) imply:
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9291) $false
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (9291) is inconsistent.
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9292) all_63_8 = e1 | all_63_8 = e0
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9292) gives:
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9293) all_63_8 = e1
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (499), (9293) imply:
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9294) all_61_2 = e1
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9275), (9294) imply:
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9295) $false
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (9295) is inconsistent.
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9296) all_63_8 = e0
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (499), (9296) imply:
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9297) all_61_2 = e0
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (230), (9297) imply:
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9298) op(e1, e3) = e0
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (757), (9297) imply:
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9299) op(e0, e0) = all_65_65
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9284) gives:
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9300) all_63_2 = e1
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (489), (9300) imply:
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9301) all_61_8 = e1
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9276), (9301) imply:
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9302) $false
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (9302) is inconsistent.
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9303) all_63_2 = e0
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (489), (9303) imply:
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9304) all_61_8 = e0
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (751), (9304) imply:
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9305) op(e0, e0) = all_65_53
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (50), (265), (5769), (5809), (5823), (8913),
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9251), (9258), (9259), (9288), (9298), (9299),
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9305) are inconsistent by sub-proof #235.
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9306) all_63_1 = e0
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8578), (9306) imply:
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9307) all_14_1 = e0
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8912), (9307) imply:
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9308) $false
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (9308) is inconsistent.
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | | | | (9309) all_63_12 = e2 | all_63_12 = e1 | all_63_12 = e0
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8545), (8953), (9037), (9250), (9309) are
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #233.
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | | | (9310) all_63_14 = e0
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9234), (9310) imply:
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | | | (9311) unit = e0
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9239), (9311) imply:
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | | | (9312) $false
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (9312) is inconsistent.
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | | End of split
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | End of split
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | |
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | End of split
% 173.90/26.57 | | | | | | | | | | | | | | | | | | |
% 173.90/26.57 | | | | | | | | | | | | | | | | | | End of split
% 173.90/26.57 | | | | | | | | | | | | | | | | | |
% 173.90/26.57 | | | | | | | | | | | | | | | | | End of split
% 173.90/26.57 | | | | | | | | | | | | | | | | |
% 173.90/26.57 | | | | | | | | | | | | | | | | End of split
% 173.90/26.57 | | | | | | | | | | | | | | | |
% 173.90/26.57 | | | | | | | | | | | | | | | End of split
% 173.90/26.57 | | | | | | | | | | | | | | |
% 173.90/26.57 | | | | | | | | | | | | | | Case 2:
% 173.90/26.57 | | | | | | | | | | | | | | |
% 173.90/26.57 | | | | | | | | | | | | | | | (9313) all_42_2 = e1
% 173.90/26.57 | | | | | | | | | | | | | | | (9314) op(e0, e1) = all_42_1 & $i(all_42_1) & ( ~
% 173.90/26.57 | | | | | | | | | | | | | | | (all_42_1 = e3) | ( ~ (all_42_0 = e2) & op(e3,
% 173.90/26.57 | | | | | | | | | | | | | | | e0) = all_42_0 & $i(all_42_0)))
% 173.90/26.57 | | | | | | | | | | | | | | |
% 173.90/26.57 | | | | | | | | | | | | | | | ALPHA: (9314) implies:
% 173.90/26.57 | | | | | | | | | | | | | | | (9315) op(e0, e1) = all_42_1
% 173.90/26.57 | | | | | | | | | | | | | | |
% 173.90/26.57 | | | | | | | | | | | | | | | COMBINE_EQS: (532), (9313) imply:
% 173.90/26.57 | | | | | | | | | | | | | | | (9316) all_20_2 = e1
% 173.90/26.57 | | | | | | | | | | | | | | |
% 173.90/26.57 | | | | | | | | | | | | | | | SIMP: (9316) implies:
% 173.90/26.57 | | | | | | | | | | | | | | | (9317) all_20_2 = e1
% 173.90/26.57 | | | | | | | | | | | | | | |
% 173.90/26.57 | | | | | | | | | | | | | | | COMBINE_EQS: (582), (9317) imply:
% 173.90/26.57 | | | | | | | | | | | | | | | (9318) all_50_2 = e1
% 173.90/26.57 | | | | | | | | | | | | | | |
% 173.90/26.57 | | | | | | | | | | | | | | | REDUCE: (625), (9317) imply:
% 173.90/26.57 | | | | | | | | | | | | | | | (9319) ~ (all_61_12 = e1)
% 173.90/26.57 | | | | | | | | | | | | | | |
% 173.90/26.57 | | | | | | | | | | | | | | | REDUCE: (627), (9317) imply:
% 173.90/26.57 | | | | | | | | | | | | | | | (9320) ~ (all_61_14 = e1)
% 173.90/26.57 | | | | | | | | | | | | | | |
% 173.90/26.57 | | | | | | | | | | | | | | | REDUCE: (8960), (9317) imply:
% 173.90/26.57 | | | | | | | | | | | | | | | (9321) ~ (all_22_1 = e1)
% 173.90/26.57 | | | | | | | | | | | | | | |
% 173.90/26.57 | | | | | | | | | | | | | | | REDUCE: (694), (9317) imply:
% 173.90/26.57 | | | | | | | | | | | | | | | (9322) op(e1, e3) = all_65_73
% 173.90/26.57 | | | | | | | | | | | | | | |
% 173.90/26.57 | | | | | | | | | | | | | | | REDUCE: (697), (9317) imply:
% 173.90/26.57 | | | | | | | | | | | | | | | (9323) op(e1, e0) = all_65_78
% 173.90/26.57 | | | | | | | | | | | | | | |
% 173.90/26.57 | | | | | | | | | | | | | | | REDUCE: (9019), (9317) imply:
% 173.90/26.57 | | | | | | | | | | | | | | | (9324) op(e3, e1) = all_65_73
% 173.90/26.57 | | | | | | | | | | | | | | |
% 173.90/26.57 | | | | | | | | | | | | | | | REDUCE: (9021), (9317) imply:
% 173.90/26.57 | | | | | | | | | | | | | | | (9325) op(e2, e1) = all_65_75
% 173.90/26.57 | | | | | | | | | | | | | | |
% 173.90/26.57 | | | | | | | | | | | | | | | REDUCE: (9023), (9317) imply:
% 173.90/26.57 | | | | | | | | | | | | | | | (9326) op(e1, e1) = all_65_77
% 173.90/26.57 | | | | | | | | | | | | | | |
% 173.90/26.57 | | | | | | | | | | | | | | | REDUCE: (764), (9317) imply:
% 173.90/26.57 | | | | | | | | | | | | | | | (9327) op(e0, e1) = all_65_78
% 173.90/26.57 | | | | | | | | | | | | | | |
% 173.90/26.57 | | | | | | | | | | | | | | | REDUCE: (76), (9317) imply:
% 173.90/26.57 | | | | | | | | | | | | | | | (9328) op(e0, e0) = e1
% 173.90/26.57 | | | | | | | | | | | | | | |
% 173.90/26.57 | | | | | | | | | | | | | | | BETA: splitting (122) gives:
% 173.90/26.57 | | | | | | | | | | | | | | |
% 173.90/26.57 | | | | | | | | | | | | | | | Case 1:
% 173.90/26.57 | | | | | | | | | | | | | | | |
% 173.90/26.57 | | | | | | | | | | | | | | | | (9329) ~ (all_50_2 = e1)
% 173.90/26.57 | | | | | | | | | | | | | | | |
% 173.90/26.57 | | | | | | | | | | | | | | | | REDUCE: (9318), (9329) imply:
% 173.90/26.57 | | | | | | | | | | | | | | | | (9330) $false
% 173.90/26.57 | | | | | | | | | | | | | | | |
% 173.90/26.57 | | | | | | | | | | | | | | | | CLOSE: (9330) is inconsistent.
% 173.90/26.57 | | | | | | | | | | | | | | | |
% 173.90/26.57 | | | | | | | | | | | | | | | Case 2:
% 173.90/26.57 | | | | | | | | | | | | | | | |
% 173.90/26.57 | | | | | | | | | | | | | | | | (9331) op(e0, e1) = all_50_1 & $i(all_50_1) & ( ~
% 173.90/26.57 | | | | | | | | | | | | | | | | (all_50_1 = e2) | ( ~ (all_50_0 = e3) & op(e2,
% 173.90/26.57 | | | | | | | | | | | | | | | | e0) = all_50_0 & $i(all_50_0)))
% 173.90/26.57 | | | | | | | | | | | | | | | |
% 173.90/26.57 | | | | | | | | | | | | | | | | ALPHA: (9331) implies:
% 173.90/26.57 | | | | | | | | | | | | | | | | (9332) op(e0, e1) = all_50_1
% 173.90/26.57 | | | | | | | | | | | | | | | |
% 173.90/26.57 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_50_1, all_65_78, e1,
% 173.90/26.57 | | | | | | | | | | | | | | | | e0, simplifying with (9327), (9332) gives:
% 173.90/26.57 | | | | | | | | | | | | | | | | (9333) all_65_78 = all_50_1
% 173.90/26.57 | | | | | | | | | | | | | | | |
% 173.90/26.57 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_42_1, all_65_78, e1,
% 173.90/26.57 | | | | | | | | | | | | | | | | e0, simplifying with (9315), (9327) gives:
% 173.90/26.57 | | | | | | | | | | | | | | | | (9334) all_65_78 = all_42_1
% 173.90/26.57 | | | | | | | | | | | | | | | |
% 173.90/26.57 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_14, all_65_78, e0,
% 173.90/26.57 | | | | | | | | | | | | | | | | e1, simplifying with (227), (9323) gives:
% 173.90/26.57 | | | | | | | | | | | | | | | | (9335) all_65_78 = all_61_14
% 173.90/26.57 | | | | | | | | | | | | | | | |
% 173.90/26.57 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e2, all_65_77, e1, e1,
% 173.90/26.57 | | | | | | | | | | | | | | | | simplifying with (5784), (9326) gives:
% 173.90/26.57 | | | | | | | | | | | | | | | | (9336) all_65_77 = e2
% 173.90/26.57 | | | | | | | | | | | | | | | |
% 173.90/26.57 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_2, all_65_73, e3,
% 173.90/26.57 | | | | | | | | | | | | | | | | e1, simplifying with (230), (9322) gives:
% 173.90/26.57 | | | | | | | | | | | | | | | | (9337) all_65_73 = all_61_2
% 173.90/26.57 | | | | | | | | | | | | | | | |
% 173.90/26.57 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_10_1, all_65_75, e1,
% 173.90/26.57 | | | | | | | | | | | | | | | | e2, simplifying with (5838), (9325) gives:
% 173.90/26.57 | | | | | | | | | | | | | | | | (9338) all_65_75 = all_10_1
% 173.90/26.57 | | | | | | | | | | | | | | | |
% 173.90/26.57 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_8, all_65_73, e1,
% 173.90/26.57 | | | | | | | | | | | | | | | | e3, simplifying with (236), (9324) gives:
% 173.90/26.57 | | | | | | | | | | | | | | | | (9339) all_65_73 = all_61_8
% 173.90/26.57 | | | | | | | | | | | | | | | |
% 173.90/26.57 | | | | | | | | | | | | | | | | COMBINE_EQS: (9337), (9339) imply:
% 173.90/26.57 | | | | | | | | | | | | | | | | (9340) all_61_2 = all_61_8
% 173.90/26.57 | | | | | | | | | | | | | | | |
% 173.90/26.57 | | | | | | | | | | | | | | | | SIMP: (9340) implies:
% 173.90/26.57 | | | | | | | | | | | | | | | | (9341) all_61_2 = all_61_8
% 173.90/26.57 | | | | | | | | | | | | | | | |
% 173.90/26.57 | | | | | | | | | | | | | | | | COMBINE_EQS: (9334), (9335) imply:
% 173.90/26.57 | | | | | | | | | | | | | | | | (9342) all_61_14 = all_42_1
% 173.90/26.57 | | | | | | | | | | | | | | | |
% 173.90/26.57 | | | | | | | | | | | | | | | | COMBINE_EQS: (9333), (9335) imply:
% 173.90/26.57 | | | | | | | | | | | | | | | | (9343) all_61_14 = all_50_1
% 173.90/26.57 | | | | | | | | | | | | | | | |
% 173.90/26.57 | | | | | | | | | | | | | | | | COMBINE_EQS: (9342), (9343) imply:
% 173.90/26.57 | | | | | | | | | | | | | | | | (9344) all_50_1 = all_42_1
% 173.90/26.57 | | | | | | | | | | | | | | | |
% 173.90/26.57 | | | | | | | | | | | | | | | | COMBINE_EQS: (505), (9342) imply:
% 173.90/26.57 | | | | | | | | | | | | | | | | (9345) all_63_11 = all_42_1
% 173.90/26.57 | | | | | | | | | | | | | | | |
% 173.90/26.57 | | | | | | | | | | | | | | | | REDUCE: (8956), (9342) imply:
% 173.90/26.57 | | | | | | | | | | | | | | | | (9346) ~ (all_61_8 = all_42_1)
% 173.90/26.57 | | | | | | | | | | | | | | | |
% 173.90/26.57 | | | | | | | | | | | | | | | | REDUCE: (179), (9342) imply:
% 173.90/26.57 | | | | | | | | | | | | | | | | (9347) ~ (all_61_12 = all_42_1)
% 173.90/26.57 | | | | | | | | | | | | | | | |
% 173.90/26.57 | | | | | | | | | | | | | | | | REDUCE: (5776), (9342) imply:
% 173.90/26.57 | | | | | | | | | | | | | | | | (9348) ~ (all_42_1 = e2)
% 173.90/26.57 | | | | | | | | | | | | | | | |
% 173.90/26.57 | | | | | | | | | | | | | | | | REDUCE: (9320), (9342) imply:
% 173.90/26.57 | | | | | | | | | | | | | | | | (9349) ~ (all_42_1 = e1)
% 173.90/26.57 | | | | | | | | | | | | | | | |
% 173.90/26.57 | | | | | | | | | | | | | | | | REDUCE: (9014), (9338) imply:
% 173.90/26.57 | | | | | | | | | | | | | | | | (9350) op(all_22_1, e0) = all_10_1
% 173.90/26.57 | | | | | | | | | | | | | | | |
% 173.90/26.57 | | | | | | | | | | | | | | | | REDUCE: (227), (9342) imply:
% 173.90/26.57 | | | | | | | | | | | | | | | | (9351) op(e1, e0) = all_42_1
% 173.90/26.57 | | | | | | | | | | | | | | | |
% 173.90/26.57 | | | | | | | | | | | | | | | | BETA: splitting (161) gives:
% 173.90/26.57 | | | | | | | | | | | | | | | |
% 173.90/26.57 | | | | | | | | | | | | | | | | Case 1:
% 173.90/26.57 | | | | | | | | | | | | | | | | |
% 173.90/26.57 | | | | | | | | | | | | | | | | | (9352) ~ (all_58_2 = e2)
% 173.90/26.57 | | | | | | | | | | | | | | | | |
% 173.90/26.57 | | | | | | | | | | | | | | | | | REDUCE: (478), (9352) imply:
% 173.90/26.57 | | | | | | | | | | | | | | | | | (9353) ~ (all_52_2 = e2)
% 173.90/26.57 | | | | | | | | | | | | | | | | |
% 173.90/26.57 | | | | | | | | | | | | | | | | | BETA: splitting (164) gives:
% 173.90/26.57 | | | | | | | | | | | | | | | | |
% 173.90/26.57 | | | | | | | | | | | | | | | | | Case 1:
% 173.90/26.57 | | | | | | | | | | | | | | | | | |
% 173.90/26.57 | | | | | | | | | | | | | | | | | | (9354) ~ (all_58_1 = e1)
% 173.90/26.57 | | | | | | | | | | | | | | | | | |
% 173.90/26.57 | | | | | | | | | | | | | | | | | | REDUCE: (481), (9354) imply:
% 173.90/26.57 | | | | | | | | | | | | | | | | | | (9355) ~ (all_52_1 = e1)
% 173.90/26.57 | | | | | | | | | | | | | | | | | |
% 173.90/26.57 | | | | | | | | | | | | | | | | | | BETA: splitting (163) gives:
% 173.90/26.57 | | | | | | | | | | | | | | | | | |
% 173.90/26.57 | | | | | | | | | | | | | | | | | | Case 1:
% 173.90/26.57 | | | | | | | | | | | | | | | | | | |
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | (9356) ~ (all_58_1 = e0)
% 173.90/26.57 | | | | | | | | | | | | | | | | | | |
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | REDUCE: (481), (9356) imply:
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | (9357) ~ (all_52_1 = e0)
% 173.90/26.57 | | | | | | | | | | | | | | | | | | |
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | BETA: splitting (162) gives:
% 173.90/26.57 | | | | | | | | | | | | | | | | | | |
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | Case 1:
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | |
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | (9358) ~ (all_58_2 = e3)
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | |
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | REDUCE: (478), (9358) imply:
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | (9359) ~ (all_52_2 = e3)
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | |
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | BETA: splitting (157) gives:
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | |
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | | (9360) ~ (all_58_3 = e1)
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | | REDUCE: (475), (9360) imply:
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | | (9361) ~ (all_52_3 = e1)
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (19), (50), (149), (160), (475), (478),
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | | (538), (748), (5784), (8923), (9353), (9359),
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | | (9361) are inconsistent by sub-proof #269.
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | | (9362) all_58_3 = e1
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | | (9363) all_58_2 = e0
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (478), (9363) imply:
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | | (9364) all_52_2 = e0
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (475), (9362) imply:
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | | (9365) all_52_3 = e1
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | | REDUCE: (629), (9364) imply:
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | | (9366) ~ (all_52_0 = e0)
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | | REDUCE: (630), (9365) imply:
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | | (9367) ~ (all_52_0 = e1)
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | | REDUCE: (748), (9364) imply:
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | | (9368) op(e1, e0) = unit
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_42_1, unit, e0, e1,
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | | simplifying with (9351), (9368) gives:
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | | (9369) all_42_1 = unit
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9345), (9369) imply:
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | | (9370) all_63_11 = unit
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | | REDUCE: (9346), (9369) imply:
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | | (9371) ~ (all_61_8 = unit)
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | | REDUCE: (9347), (9369) imply:
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | | (9372) ~ (all_61_12 = unit)
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | | REDUCE: (9348), (9369) imply:
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | | (9373) ~ (unit = e2)
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | | REDUCE: (9349), (9369) imply:
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | | (9374) ~ (unit = e1)
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (260) gives:
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | | | (9375) all_63_11 = e3
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9370), (9375) imply:
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | | | (9376) unit = e3
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (851), (9376) imply:
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | | | (9377) $false
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (9377) is inconsistent.
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | | | (9378) ~ (all_63_11 = e3)
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | | | (9379) all_63_11 = e2 | all_63_11 = e1 | all_63_11 = e0
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9379) gives:
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | | | | (9380) all_63_11 = e2
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9370), (9380) imply:
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | | | | (9381) unit = e2
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9373), (9381) imply:
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | | | | (9382) $false
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (9382) is inconsistent.
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | | | | (9383) all_63_11 = e1 | all_63_11 = e0
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9383) gives:
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | | | | | (9384) all_63_11 = e1
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9370), (9384) imply:
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | | | | | (9385) unit = e1
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9374), (9385) imply:
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | | | | | (9386) $false
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (9386) is inconsistent.
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | | | | | (9387) all_63_11 = e0
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9370), (9387) imply:
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | | | | | (9388) unit = e0
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9371), (9388) imply:
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | | | | | (9389) ~ (all_61_8 = e0)
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9372), (9388) imply:
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | | | | | (9390) ~ (all_61_12 = e0)
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (50), (150), (151), (165), (168), (187), (268),
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | | | | | (269), (270), (481), (484), (489), (491), (534),
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | | | | | (536), (714), (731), (851), (852), (5773), (8541),
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | | | | | (8545), (8551), (8578), (8586), (8588), (8591),
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | | | | | (8912), (8923), (9355), (9357), (9366), (9367),
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | | | | | (9389), (9390) are inconsistent by sub-proof #229.
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | | End of split
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | End of split
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | |
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | Case 2:
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | |
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | (9391) all_58_2 = e3
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | (9392) all_58_0 = e1
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | |
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (484), (9392) imply:
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | (9393) all_52_0 = e1
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | |
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | SIMP: (9393) implies:
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | (9394) all_52_0 = e1
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | |
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (478), (9391) imply:
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | (9395) all_52_2 = e3
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | |
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | REDUCE: (628), (9394) imply:
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | (9396) ~ (all_52_1 = e1)
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | |
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | REDUCE: (631), (9395) imply:
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | (9397) ~ (all_52_1 = e3)
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | |
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (18), (50), (150), (536), (731), (8923),
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | (9328), (9355), (9357), (9397) are inconsistent by
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | | sub-proof #264.
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | |
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | End of split
% 173.90/26.57 | | | | | | | | | | | | | | | | | | |
% 173.90/26.57 | | | | | | | | | | | | | | | | | | Case 2:
% 173.90/26.57 | | | | | | | | | | | | | | | | | | |
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | (9398) all_58_1 = e0
% 173.90/26.57 | | | | | | | | | | | | | | | | | | |
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (481), (9398) imply:
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | (9399) all_52_1 = e0
% 173.90/26.57 | | | | | | | | | | | | | | | | | | |
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | SIMP: (9399) implies:
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | (9400) all_52_1 = e0
% 173.90/26.57 | | | | | | | | | | | | | | | | | | |
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | REDUCE: (731), (9400) imply:
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | (9401) op(e2, e0) = unit
% 173.90/26.57 | | | | | | | | | | | | | | | | | | |
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (18), (50), (264), (851), (852), (5838),
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | (8907), (8954), (8963), (8968), (9321), (9350),
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | (9401) are inconsistent by sub-proof #262.
% 173.90/26.57 | | | | | | | | | | | | | | | | | | |
% 173.90/26.57 | | | | | | | | | | | | | | | | | | End of split
% 173.90/26.57 | | | | | | | | | | | | | | | | | |
% 173.90/26.57 | | | | | | | | | | | | | | | | | Case 2:
% 173.90/26.57 | | | | | | | | | | | | | | | | | |
% 173.90/26.57 | | | | | | | | | | | | | | | | | | (9402) all_58_2 = e2
% 173.90/26.57 | | | | | | | | | | | | | | | | | |
% 173.90/26.57 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (478), (9402) imply:
% 173.90/26.57 | | | | | | | | | | | | | | | | | | (9403) all_52_2 = e2
% 173.90/26.57 | | | | | | | | | | | | | | | | | |
% 173.90/26.57 | | | | | | | | | | | | | | | | | | REDUCE: (9353), (9403) imply:
% 173.90/26.57 | | | | | | | | | | | | | | | | | | (9404) $false
% 173.90/26.57 | | | | | | | | | | | | | | | | | |
% 173.90/26.57 | | | | | | | | | | | | | | | | | | CLOSE: (9404) is inconsistent.
% 173.90/26.57 | | | | | | | | | | | | | | | | | |
% 173.90/26.57 | | | | | | | | | | | | | | | | | End of split
% 173.90/26.57 | | | | | | | | | | | | | | | | |
% 173.90/26.57 | | | | | | | | | | | | | | | | Case 2:
% 173.90/26.57 | | | | | | | | | | | | | | | | |
% 173.90/26.57 | | | | | | | | | | | | | | | | | (9405) all_58_1 = e1
% 173.90/26.57 | | | | | | | | | | | | | | | | |
% 173.90/26.57 | | | | | | | | | | | | | | | | | COMBINE_EQS: (481), (9405) imply:
% 173.90/26.57 | | | | | | | | | | | | | | | | | (9406) all_52_1 = e1
% 173.90/26.57 | | | | | | | | | | | | | | | | |
% 173.90/26.57 | | | | | | | | | | | | | | | | | SIMP: (9406) implies:
% 173.90/26.57 | | | | | | | | | | | | | | | | | (9407) all_52_1 = e1
% 173.90/26.57 | | | | | | | | | | | | | | | | |
% 173.90/26.57 | | | | | | | | | | | | | | | | | REDUCE: (731), (9407) imply:
% 173.90/26.57 | | | | | | | | | | | | | | | | | (9408) op(e2, e1) = unit
% 173.90/26.57 | | | | | | | | | | | | | | | | |
% 173.90/26.57 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_10_1, unit, e1, e2,
% 173.90/26.57 | | | | | | | | | | | | | | | | | simplifying with (5838), (9408) gives:
% 173.90/26.57 | | | | | | | | | | | | | | | | | (9409) all_10_1 = unit
% 173.90/26.57 | | | | | | | | | | | | | | | | |
% 173.90/26.57 | | | | | | | | | | | | | | | | | COMBINE_EQS: (5809), (9409) imply:
% 173.90/26.57 | | | | | | | | | | | | | | | | | (9410) all_63_6 = unit
% 173.90/26.57 | | | | | | | | | | | | | | | | |
% 173.90/26.57 | | | | | | | | | | | | | | | | | REDUCE: (5817), (9409) imply:
% 173.90/26.57 | | | | | | | | | | | | | | | | | (9411) ~ (all_61_8 = unit)
% 173.90/26.57 | | | | | | | | | | | | | | | | |
% 173.90/26.57 | | | | | | | | | | | | | | | | | REDUCE: (8589), (9409) imply:
% 173.90/26.57 | | | | | | | | | | | | | | | | | (9412) ~ (all_14_1 = unit)
% 173.90/26.57 | | | | | | | | | | | | | | | | |
% 173.90/26.57 | | | | | | | | | | | | | | | | | REDUCE: (5823), (9409) imply:
% 173.90/26.57 | | | | | | | | | | | | | | | | | (9413) ~ (unit = e2)
% 173.90/26.57 | | | | | | | | | | | | | | | | |
% 173.90/26.57 | | | | | | | | | | | | | | | | | REDUCE: (8913), (9409) imply:
% 173.90/26.57 | | | | | | | | | | | | | | | | | (9414) ~ (unit = e0)
% 173.90/26.57 | | | | | | | | | | | | | | | | |
% 173.90/26.57 | | | | | | | | | | | | | | | | | BETA: splitting (265) gives:
% 173.90/26.57 | | | | | | | | | | | | | | | | |
% 173.90/26.57 | | | | | | | | | | | | | | | | | Case 1:
% 173.90/26.57 | | | | | | | | | | | | | | | | | |
% 173.90/26.57 | | | | | | | | | | | | | | | | | | (9415) all_63_6 = e3
% 173.90/26.57 | | | | | | | | | | | | | | | | | |
% 173.90/26.57 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9410), (9415) imply:
% 173.90/26.57 | | | | | | | | | | | | | | | | | | (9416) unit = e3
% 173.90/26.57 | | | | | | | | | | | | | | | | | |
% 173.90/26.57 | | | | | | | | | | | | | | | | | | REDUCE: (851), (9416) imply:
% 173.90/26.57 | | | | | | | | | | | | | | | | | | (9417) $false
% 173.90/26.57 | | | | | | | | | | | | | | | | | |
% 173.90/26.57 | | | | | | | | | | | | | | | | | | CLOSE: (9417) is inconsistent.
% 173.90/26.57 | | | | | | | | | | | | | | | | | |
% 173.90/26.57 | | | | | | | | | | | | | | | | | Case 2:
% 173.90/26.57 | | | | | | | | | | | | | | | | | |
% 173.90/26.57 | | | | | | | | | | | | | | | | | | (9418) all_63_6 = e2 | all_63_6 = e1 | all_63_6 = e0
% 173.90/26.57 | | | | | | | | | | | | | | | | | |
% 173.90/26.57 | | | | | | | | | | | | | | | | | | BETA: splitting (9418) gives:
% 173.90/26.57 | | | | | | | | | | | | | | | | | |
% 173.90/26.57 | | | | | | | | | | | | | | | | | | Case 1:
% 173.90/26.57 | | | | | | | | | | | | | | | | | | |
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | (9419) all_63_6 = e2
% 173.90/26.57 | | | | | | | | | | | | | | | | | | |
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9410), (9419) imply:
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | (9420) unit = e2
% 173.90/26.57 | | | | | | | | | | | | | | | | | | |
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | REDUCE: (9413), (9420) imply:
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | (9421) $false
% 173.90/26.57 | | | | | | | | | | | | | | | | | | |
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | CLOSE: (9421) is inconsistent.
% 173.90/26.57 | | | | | | | | | | | | | | | | | | |
% 173.90/26.57 | | | | | | | | | | | | | | | | | | Case 2:
% 173.90/26.57 | | | | | | | | | | | | | | | | | | |
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | (9422) all_63_6 = e1 | all_63_6 = e0
% 173.90/26.57 | | | | | | | | | | | | | | | | | | |
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | BETA: splitting (9422) gives:
% 173.90/26.57 | | | | | | | | | | | | | | | | | | |
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | Case 1:
% 173.90/26.57 | | | | | | | | | | | | | | | | | | | |
% 173.90/26.58 | | | | | | | | | | | | | | | | | | | | (9423) all_63_6 = e1
% 173.90/26.58 | | | | | | | | | | | | | | | | | | | |
% 173.90/26.58 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9410), (9423) imply:
% 173.90/26.58 | | | | | | | | | | | | | | | | | | | | (9424) unit = e1
% 173.90/26.58 | | | | | | | | | | | | | | | | | | | |
% 173.90/26.58 | | | | | | | | | | | | | | | | | | | | REDUCE: (9411), (9424) imply:
% 173.90/26.58 | | | | | | | | | | | | | | | | | | | | (9425) ~ (all_61_8 = e1)
% 173.90/26.58 | | | | | | | | | | | | | | | | | | | |
% 173.90/26.58 | | | | | | | | | | | | | | | | | | | | REDUCE: (9412), (9424) imply:
% 173.90/26.58 | | | | | | | | | | | | | | | | | | | | (9426) ~ (all_14_1 = e1)
% 173.90/26.58 | | | | | | | | | | | | | | | | | | | |
% 173.90/26.58 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (187), (259), (267), (269), (489), (5773), (8545),
% 173.90/26.58 | | | | | | | | | | | | | | | | | | | | (8577), (8586), (8588), (8591), (8912), (8953),
% 173.90/26.58 | | | | | | | | | | | | | | | | | | | | (9319), (9425), (9426) are inconsistent by
% 173.90/26.58 | | | | | | | | | | | | | | | | | | | | sub-proof #339.
% 173.90/26.58 | | | | | | | | | | | | | | | | | | | |
% 173.90/26.58 | | | | | | | | | | | | | | | | | | | Case 2:
% 173.90/26.58 | | | | | | | | | | | | | | | | | | | |
% 173.90/26.58 | | | | | | | | | | | | | | | | | | | | (9427) all_63_6 = e0
% 173.90/26.58 | | | | | | | | | | | | | | | | | | | |
% 173.90/26.58 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9410), (9427) imply:
% 173.90/26.58 | | | | | | | | | | | | | | | | | | | | (9428) unit = e0
% 173.90/26.58 | | | | | | | | | | | | | | | | | | | |
% 173.90/26.58 | | | | | | | | | | | | | | | | | | | | REDUCE: (9414), (9428) imply:
% 173.90/26.58 | | | | | | | | | | | | | | | | | | | | (9429) $false
% 173.90/26.58 | | | | | | | | | | | | | | | | | | | |
% 173.90/26.58 | | | | | | | | | | | | | | | | | | | | CLOSE: (9429) is inconsistent.
% 173.90/26.58 | | | | | | | | | | | | | | | | | | | |
% 173.90/26.58 | | | | | | | | | | | | | | | | | | | End of split
% 173.90/26.58 | | | | | | | | | | | | | | | | | | |
% 173.90/26.58 | | | | | | | | | | | | | | | | | | End of split
% 173.90/26.58 | | | | | | | | | | | | | | | | | |
% 173.90/26.58 | | | | | | | | | | | | | | | | | End of split
% 173.90/26.58 | | | | | | | | | | | | | | | | |
% 173.90/26.58 | | | | | | | | | | | | | | | | End of split
% 173.90/26.58 | | | | | | | | | | | | | | | |
% 173.90/26.58 | | | | | | | | | | | | | | | End of split
% 173.90/26.58 | | | | | | | | | | | | | | |
% 173.90/26.58 | | | | | | | | | | | | | | End of split
% 173.90/26.58 | | | | | | | | | | | | | |
% 173.90/26.58 | | | | | | | | | | | | | Case 2:
% 173.90/26.58 | | | | | | | | | | | | | |
% 173.90/26.58 | | | | | | | | | | | | | | (9430) all_28_2 = e3
% 173.90/26.58 | | | | | | | | | | | | | | (9431) op(e0, e3) = all_28_1 & $i(all_28_1) & ( ~
% 173.90/26.58 | | | | | | | | | | | | | | (all_28_1 = e2) | ( ~ (all_28_0 = e1) & op(e2,
% 173.90/26.58 | | | | | | | | | | | | | | e0) = all_28_0 & $i(all_28_0)))
% 173.90/26.58 | | | | | | | | | | | | | |
% 173.90/26.58 | | | | | | | | | | | | | | ALPHA: (9431) implies:
% 173.90/26.58 | | | | | | | | | | | | | | (9432) op(e0, e3) = all_28_1
% 173.90/26.58 | | | | | | | | | | | | | |
% 173.90/26.58 | | | | | | | | | | | | | | COMBINE_EQS: (563), (9430) imply:
% 173.90/26.58 | | | | | | | | | | | | | | (9433) all_20_2 = e3
% 173.90/26.58 | | | | | | | | | | | | | |
% 173.90/26.58 | | | | | | | | | | | | | | COMBINE_EQS: (555), (9433) imply:
% 173.90/26.58 | | | | | | | | | | | | | | (9434) all_34_2 = e3
% 173.90/26.58 | | | | | | | | | | | | | |
% 173.90/26.58 | | | | | | | | | | | | | | REDUCE: (625), (9433) imply:
% 173.90/26.58 | | | | | | | | | | | | | | (9435) ~ (all_61_12 = e3)
% 173.90/26.58 | | | | | | | | | | | | | |
% 173.90/26.58 | | | | | | | | | | | | | | REDUCE: (627), (9433) imply:
% 173.90/26.58 | | | | | | | | | | | | | | (9436) ~ (all_61_14 = e3)
% 173.90/26.58 | | | | | | | | | | | | | |
% 173.90/26.58 | | | | | | | | | | | | | | REDUCE: (696), (9433) imply:
% 173.90/26.58 | | | | | | | | | | | | | | (9437) op(e3, e1) = all_65_77
% 173.90/26.58 | | | | | | | | | | | | | |
% 173.90/26.58 | | | | | | | | | | | | | | REDUCE: (697), (9433) imply:
% 173.90/26.58 | | | | | | | | | | | | | | (9438) op(e3, e0) = all_65_78
% 173.90/26.58 | | | | | | | | | | | | | |
% 173.90/26.58 | | | | | | | | | | | | | | REDUCE: (9023), (9433) imply:
% 173.90/26.58 | | | | | | | | | | | | | | (9439) op(e1, e3) = all_65_77
% 173.90/26.58 | | | | | | | | | | | | | |
% 173.90/26.58 | | | | | | | | | | | | | | REDUCE: (764), (9433) imply:
% 173.90/26.58 | | | | | | | | | | | | | | (9440) op(e0, e3) = all_65_78
% 173.90/26.58 | | | | | | | | | | | | | |
% 173.90/26.58 | | | | | | | | | | | | | | BETA: splitting (98) gives:
% 173.90/26.58 | | | | | | | | | | | | | |
% 173.90/26.58 | | | | | | | | | | | | | | Case 1:
% 173.90/26.58 | | | | | | | | | | | | | | |
% 173.90/26.58 | | | | | | | | | | | | | | | (9441) ~ (all_34_2 = e3)
% 173.90/26.58 | | | | | | | | | | | | | | |
% 173.90/26.58 | | | | | | | | | | | | | | | REDUCE: (9434), (9441) imply:
% 173.90/26.58 | | | | | | | | | | | | | | | (9442) $false
% 173.90/26.58 | | | | | | | | | | | | | | |
% 173.90/26.58 | | | | | | | | | | | | | | | CLOSE: (9442) is inconsistent.
% 173.90/26.58 | | | | | | | | | | | | | | |
% 173.90/26.58 | | | | | | | | | | | | | | Case 2:
% 173.90/26.58 | | | | | | | | | | | | | | |
% 173.90/26.58 | | | | | | | | | | | | | | | (9443) op(e0, e3) = all_34_1 & $i(all_34_1) & ( ~
% 173.90/26.58 | | | | | | | | | | | | | | | (all_34_1 = e1) | ( ~ (all_34_0 = e2) & op(e1,
% 173.90/26.58 | | | | | | | | | | | | | | | e0) = all_34_0 & $i(all_34_0)))
% 173.90/26.58 | | | | | | | | | | | | | | |
% 173.90/26.58 | | | | | | | | | | | | | | | ALPHA: (9443) implies:
% 173.90/26.58 | | | | | | | | | | | | | | | (9444) op(e0, e3) = all_34_1
% 173.90/26.58 | | | | | | | | | | | | | | |
% 173.90/26.58 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_12, all_28_1, e3,
% 173.90/26.58 | | | | | | | | | | | | | | | e0, simplifying with (8988), (9432) gives:
% 173.90/26.58 | | | | | | | | | | | | | | | (9445) all_61_12 = all_28_1
% 173.90/26.58 | | | | | | | | | | | | | | |
% 173.90/26.58 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_34_1, all_65_78, e3,
% 173.90/26.58 | | | | | | | | | | | | | | | e0, simplifying with (9440), (9444) gives:
% 173.90/26.58 | | | | | | | | | | | | | | | (9446) all_65_78 = all_34_1
% 173.90/26.58 | | | | | | | | | | | | | | |
% 173.90/26.58 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_2, all_65_77, e3,
% 173.90/26.58 | | | | | | | | | | | | | | | e1, simplifying with (230), (9439) gives:
% 173.90/26.58 | | | | | | | | | | | | | | | (9447) all_65_77 = all_61_2
% 173.90/26.58 | | | | | | | | | | | | | | |
% 173.90/26.58 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_12, all_65_78, e0,
% 173.90/26.58 | | | | | | | | | | | | | | | e3, simplifying with (235), (9438) gives:
% 173.90/26.58 | | | | | | | | | | | | | | | (9448) all_65_78 = all_61_12
% 173.90/26.58 | | | | | | | | | | | | | | |
% 173.90/26.58 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_8, all_65_77, e1,
% 173.90/26.58 | | | | | | | | | | | | | | | e3, simplifying with (236), (9437) gives:
% 173.90/26.58 | | | | | | | | | | | | | | | (9449) all_65_77 = all_61_8
% 173.90/26.58 | | | | | | | | | | | | | | |
% 173.90/26.58 | | | | | | | | | | | | | | | COMBINE_EQS: (9447), (9449) imply:
% 173.90/26.58 | | | | | | | | | | | | | | | (9450) all_61_2 = all_61_8
% 173.90/26.58 | | | | | | | | | | | | | | |
% 173.90/26.58 | | | | | | | | | | | | | | | SIMP: (9450) implies:
% 173.90/26.58 | | | | | | | | | | | | | | | (9451) all_61_2 = all_61_8
% 173.90/26.58 | | | | | | | | | | | | | | |
% 173.90/26.58 | | | | | | | | | | | | | | | COMBINE_EQS: (9446), (9448) imply:
% 173.90/26.58 | | | | | | | | | | | | | | | (9452) all_61_12 = all_34_1
% 173.90/26.58 | | | | | | | | | | | | | | |
% 173.90/26.58 | | | | | | | | | | | | | | | SIMP: (9452) implies:
% 173.90/26.58 | | | | | | | | | | | | | | | (9453) all_61_12 = all_34_1
% 173.90/26.58 | | | | | | | | | | | | | | |
% 173.90/26.58 | | | | | | | | | | | | | | | COMBINE_EQS: (9445), (9453) imply:
% 173.90/26.58 | | | | | | | | | | | | | | | (9454) all_34_1 = all_28_1
% 173.90/26.58 | | | | | | | | | | | | | | |
% 173.90/26.58 | | | | | | | | | | | | | | | COMBINE_EQS: (491), (9445) imply:
% 173.90/26.58 | | | | | | | | | | | | | | | (9455) all_63_3 = all_28_1
% 173.90/26.58 | | | | | | | | | | | | | | |
% 173.90/26.58 | | | | | | | | | | | | | | | REDUCE: (187), (9445) imply:
% 173.90/26.58 | | | | | | | | | | | | | | | (9456) ~ (all_61_8 = all_28_1)
% 173.90/26.58 | | | | | | | | | | | | | | |
% 173.90/26.58 | | | | | | | | | | | | | | | REDUCE: (179), (9445) imply:
% 173.90/26.58 | | | | | | | | | | | | | | | (9457) ~ (all_61_14 = all_28_1)
% 173.90/26.58 | | | | | | | | | | | | | | |
% 173.90/26.58 | | | | | | | | | | | | | | | SIMP: (9457) implies:
% 173.90/26.58 | | | | | | | | | | | | | | | (9458) ~ (all_61_14 = all_28_1)
% 173.90/26.58 | | | | | | | | | | | | | | |
% 173.90/26.58 | | | | | | | | | | | | | | | REDUCE: (8957), (9445) imply:
% 173.90/26.58 | | | | | | | | | | | | | | | (9459) ~ (all_28_1 = all_22_1)
% 173.90/26.58 | | | | | | | | | | | | | | |
% 173.90/26.58 | | | | | | | | | | | | | | | REDUCE: (8588), (9445) imply:
% 173.90/26.58 | | | | | | | | | | | | | | | (9460) ~ (all_28_1 = all_14_1)
% 173.90/26.58 | | | | | | | | | | | | | | |
% 173.90/26.58 | | | | | | | | | | | | | | | REDUCE: (9435), (9445) imply:
% 173.90/26.58 | | | | | | | | | | | | | | | (9461) ~ (all_28_1 = e3)
% 173.90/26.58 | | | | | | | | | | | | | | |
% 173.90/26.58 | | | | | | | | | | | | | | | REDUCE: (8545), (9445) imply:
% 173.90/26.58 | | | | | | | | | | | | | | | (9462) ~ (all_28_1 = e2)
% 173.90/26.58 | | | | | | | | | | | | | | |
% 173.90/26.58 | | | | | | | | | | | | | | | REDUCE: (668), (9451) imply:
% 173.90/26.58 | | | | | | | | | | | | | | | (9463) op(all_61_8, e1) = all_65_34
% 173.90/26.58 | | | | | | | | | | | | | | |
% 173.90/26.58 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_14_1, all_65_34, e1,
% 173.90/26.58 | | | | | | | | | | | | | | | all_61_8, simplifying with (8600), (9463) gives:
% 173.90/26.58 | | | | | | | | | | | | | | | (9464) all_65_34 = all_14_1
% 173.90/26.58 | | | | | | | | | | | | | | |
% 173.90/26.58 | | | | | | | | | | | | | | | BETA: splitting (157) gives:
% 173.90/26.58 | | | | | | | | | | | | | | |
% 173.90/26.58 | | | | | | | | | | | | | | | Case 1:
% 173.90/26.58 | | | | | | | | | | | | | | | |
% 173.90/26.58 | | | | | | | | | | | | | | | | (9465) ~ (all_58_3 = e1)
% 173.90/26.58 | | | | | | | | | | | | | | | |
% 173.90/26.58 | | | | | | | | | | | | | | | | REDUCE: (475), (9465) imply:
% 173.90/26.58 | | | | | | | | | | | | | | | | (9466) ~ (all_52_3 = e1)
% 173.90/26.58 | | | | | | | | | | | | | | | |
% 173.90/26.58 | | | | | | | | | | | | | | | | BETA: splitting (161) gives:
% 173.90/26.58 | | | | | | | | | | | | | | | |
% 173.90/26.58 | | | | | | | | | | | | | | | | Case 1:
% 173.90/26.58 | | | | | | | | | | | | | | | | |
% 173.90/26.58 | | | | | | | | | | | | | | | | | (9467) ~ (all_58_2 = e2)
% 173.90/26.58 | | | | | | | | | | | | | | | | |
% 173.90/26.58 | | | | | | | | | | | | | | | | | REDUCE: (478), (9467) imply:
% 173.90/26.58 | | | | | | | | | | | | | | | | | (9468) ~ (all_52_2 = e2)
% 173.90/26.58 | | | | | | | | | | | | | | | | |
% 173.90/26.58 | | | | | | | | | | | | | | | | | BETA: splitting (162) gives:
% 173.90/26.58 | | | | | | | | | | | | | | | | |
% 173.90/26.58 | | | | | | | | | | | | | | | | | Case 1:
% 173.90/26.58 | | | | | | | | | | | | | | | | | |
% 173.90/26.58 | | | | | | | | | | | | | | | | | | (9469) ~ (all_58_2 = e3)
% 173.90/26.58 | | | | | | | | | | | | | | | | | |
% 173.90/26.58 | | | | | | | | | | | | | | | | | | REDUCE: (478), (9469) imply:
% 173.90/26.58 | | | | | | | | | | | | | | | | | | (9470) ~ (all_52_2 = e3)
% 173.90/26.58 | | | | | | | | | | | | | | | | | |
% 173.90/26.58 | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (19), (50), (149), (160), (475), (478),
% 173.90/26.58 | | | | | | | | | | | | | | | | | | (538), (748), (5784), (8923), (9466), (9468),
% 173.90/26.58 | | | | | | | | | | | | | | | | | | (9470) are inconsistent by sub-proof #269.
% 173.90/26.58 | | | | | | | | | | | | | | | | | |
% 173.90/26.58 | | | | | | | | | | | | | | | | | Case 2:
% 173.90/26.58 | | | | | | | | | | | | | | | | | |
% 173.90/26.58 | | | | | | | | | | | | | | | | | | (9471) all_58_0 = e1
% 173.90/26.58 | | | | | | | | | | | | | | | | | |
% 173.90/26.58 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (484), (9471) imply:
% 173.90/26.58 | | | | | | | | | | | | | | | | | | (9472) all_52_0 = e1
% 173.90/26.58 | | | | | | | | | | | | | | | | | |
% 173.90/26.58 | | | | | | | | | | | | | | | | | | SIMP: (9472) implies:
% 173.90/26.58 | | | | | | | | | | | | | | | | | | (9473) all_52_0 = e1
% 173.90/26.58 | | | | | | | | | | | | | | | | | |
% 173.90/26.58 | | | | | | | | | | | | | | | | | | REDUCE: (714), (9473) imply:
% 173.90/26.58 | | | | | | | | | | | | | | | | | | (9474) op(e3, e1) = unit
% 173.90/26.58 | | | | | | | | | | | | | | | | | |
% 173.90/26.58 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_8, unit, e1, e3,
% 173.90/26.58 | | | | | | | | | | | | | | | | | | simplifying with (236), (9474) gives:
% 173.90/26.58 | | | | | | | | | | | | | | | | | | (9475) all_61_8 = unit
% 173.90/26.58 | | | | | | | | | | | | | | | | | |
% 173.90/26.58 | | | | | | | | | | | | | | | | | | REDUCE: (9456), (9475) imply:
% 173.90/26.58 | | | | | | | | | | | | | | | | | | (9476) ~ (all_28_1 = unit)
% 173.90/26.58 | | | | | | | | | | | | | | | | | |
% 173.90/26.58 | | | | | | | | | | | | | | | | | | SIMP: (9476) implies:
% 173.90/26.58 | | | | | | | | | | | | | | | | | | (9477) ~ (all_28_1 = unit)
% 173.90/26.58 | | | | | | | | | | | | | | | | | |
% 173.90/26.58 | | | | | | | | | | | | | | | | | | REDUCE: (8586), (9475) imply:
% 173.90/26.58 | | | | | | | | | | | | | | | | | | (9478) ~ (all_14_1 = unit)
% 173.90/26.58 | | | | | | | | | | | | | | | | | |
% 173.90/26.58 | | | | | | | | | | | | | | | | | | SIMP: (9478) implies:
% 173.90/26.58 | | | | | | | | | | | | | | | | | | (9479) ~ (all_14_1 = unit)
% 173.90/26.58 | | | | | | | | | | | | | | | | | |
% 173.90/26.58 | | | | | | | | | | | | | | | | | | REDUCE: (5773), (9475) imply:
% 173.90/26.58 | | | | | | | | | | | | | | | | | | (9480) ~ (unit = e2)
% 173.90/26.58 | | | | | | | | | | | | | | | | | |
% 173.90/26.58 | | | | | | | | | | | | | | | | | | REDUCE: (8600), (9475) imply:
% 173.90/26.58 | | | | | | | | | | | | | | | | | | (9481) op(unit, e1) = all_14_1
% 173.90/26.58 | | | | | | | | | | | | | | | | | |
% 173.90/26.58 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e1, all_14_1, e1, unit,
% 173.90/26.58 | | | | | | | | | | | | | | | | | | simplifying with (8), (9481) gives:
% 173.90/26.58 | | | | | | | | | | | | | | | | | | (9482) all_14_1 = e1
% 173.90/26.58 | | | | | | | | | | | | | | | | | |
% 173.90/26.58 | | | | | | | | | | | | | | | | | | REF_CLOSE: (268), (852), (9455), (9460), (9461), (9462),
% 173.90/26.58 | | | | | | | | | | | | | | | | | | (9477), (9479), (9480), (9482) are inconsistent by
% 173.90/26.58 | | | | | | | | | | | | | | | | | | sub-proof #236.
% 173.90/26.58 | | | | | | | | | | | | | | | | | |
% 173.90/26.58 | | | | | | | | | | | | | | | | | End of split
% 173.90/26.58 | | | | | | | | | | | | | | | | |
% 173.90/26.58 | | | | | | | | | | | | | | | | Case 2:
% 173.90/26.58 | | | | | | | | | | | | | | | | |
% 173.90/26.58 | | | | | | | | | | | | | | | | | (9483) all_58_1 = e1
% 173.90/26.58 | | | | | | | | | | | | | | | | |
% 173.90/26.58 | | | | | | | | | | | | | | | | | COMBINE_EQS: (481), (9483) imply:
% 173.90/26.58 | | | | | | | | | | | | | | | | | (9484) all_52_1 = e1
% 173.90/26.58 | | | | | | | | | | | | | | | | |
% 173.90/26.58 | | | | | | | | | | | | | | | | | SIMP: (9484) implies:
% 173.90/26.58 | | | | | | | | | | | | | | | | | (9485) all_52_1 = e1
% 173.90/26.58 | | | | | | | | | | | | | | | | |
% 173.90/26.58 | | | | | | | | | | | | | | | | | REDUCE: (731), (9485) imply:
% 173.90/26.58 | | | | | | | | | | | | | | | | | (9486) op(e2, e1) = unit
% 173.90/26.58 | | | | | | | | | | | | | | | | |
% 173.90/26.58 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_10_1, unit, e1, e2,
% 173.90/26.58 | | | | | | | | | | | | | | | | | simplifying with (5838), (9486) gives:
% 173.90/26.58 | | | | | | | | | | | | | | | | | (9487) all_10_1 = unit
% 173.90/26.58 | | | | | | | | | | | | | | | | |
% 173.90/26.58 | | | | | | | | | | | | | | | | | REDUCE: (5817), (9487) imply:
% 173.90/26.58 | | | | | | | | | | | | | | | | | (9488) ~ (all_61_8 = unit)
% 173.90/26.58 | | | | | | | | | | | | | | | | |
% 173.90/26.58 | | | | | | | | | | | | | | | | | REDUCE: (5816), (9487) imply:
% 173.90/26.58 | | | | | | | | | | | | | | | | | (9489) ~ (all_61_14 = unit)
% 173.90/26.58 | | | | | | | | | | | | | | | | |
% 173.90/26.58 | | | | | | | | | | | | | | | | | REDUCE: (8589), (9487) imply:
% 173.90/26.58 | | | | | | | | | | | | | | | | | (9490) ~ (all_14_1 = unit)
% 173.90/26.58 | | | | | | | | | | | | | | | | |
% 173.90/26.58 | | | | | | | | | | | | | | | | | REDUCE: (5823), (9487) imply:
% 173.90/26.58 | | | | | | | | | | | | | | | | | (9491) ~ (unit = e2)
% 173.90/26.58 | | | | | | | | | | | | | | | | |
% 173.90/26.58 | | | | | | | | | | | | | | | | | REDUCE: (8913), (9487) imply:
% 173.90/26.58 | | | | | | | | | | | | | | | | | (9492) ~ (unit = e0)
% 173.90/26.58 | | | | | | | | | | | | | | | | |
% 173.90/26.58 | | | | | | | | | | | | | | | | | REF_CLOSE: (257), (267), (269), (489), (852), (5773), (5776),
% 173.90/26.58 | | | | | | | | | | | | | | | | | (8577), (8586), (8591), (8912), (8951), (8956),
% 173.90/26.58 | | | | | | | | | | | | | | | | | (9436), (9488), (9489), (9490), (9491), (9492) are
% 173.90/26.58 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #296.
% 173.90/26.58 | | | | | | | | | | | | | | | | |
% 173.90/26.58 | | | | | | | | | | | | | | | | End of split
% 173.90/26.58 | | | | | | | | | | | | | | | |
% 173.90/26.58 | | | | | | | | | | | | | | | Case 2:
% 173.90/26.58 | | | | | | | | | | | | | | | |
% 173.90/26.58 | | | | | | | | | | | | | | | | (9493) all_58_2 = e0
% 173.90/26.58 | | | | | | | | | | | | | | | |
% 173.90/26.58 | | | | | | | | | | | | | | | | COMBINE_EQS: (478), (9493) imply:
% 173.90/26.58 | | | | | | | | | | | | | | | | (9494) all_52_2 = e0
% 173.90/26.58 | | | | | | | | | | | | | | | |
% 173.90/26.58 | | | | | | | | | | | | | | | | REDUCE: (748), (9494) imply:
% 173.90/26.58 | | | | | | | | | | | | | | | | (9495) op(e1, e0) = unit
% 173.90/26.58 | | | | | | | | | | | | | | | |
% 173.90/26.58 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_14, unit, e0, e1,
% 173.90/26.58 | | | | | | | | | | | | | | | | simplifying with (227), (9495) gives:
% 173.90/26.58 | | | | | | | | | | | | | | | | (9496) all_61_14 = unit
% 173.90/26.58 | | | | | | | | | | | | | | | |
% 173.90/26.58 | | | | | | | | | | | | | | | | REDUCE: (9458), (9496) imply:
% 173.90/26.58 | | | | | | | | | | | | | | | | (9497) ~ (all_28_1 = unit)
% 173.90/26.58 | | | | | | | | | | | | | | | |
% 173.90/26.58 | | | | | | | | | | | | | | | | SIMP: (9497) implies:
% 173.90/26.58 | | | | | | | | | | | | | | | | (9498) ~ (all_28_1 = unit)
% 173.90/26.58 | | | | | | | | | | | | | | | |
% 173.90/26.58 | | | | | | | | | | | | | | | | REDUCE: (8959), (9496) imply:
% 173.90/26.58 | | | | | | | | | | | | | | | | (9499) ~ (all_22_1 = unit)
% 173.90/26.58 | | | | | | | | | | | | | | | |
% 173.90/26.58 | | | | | | | | | | | | | | | | SIMP: (9499) implies:
% 173.90/26.58 | | | | | | | | | | | | | | | | (9500) ~ (all_22_1 = unit)
% 173.90/26.58 | | | | | | | | | | | | | | | |
% 173.90/26.58 | | | | | | | | | | | | | | | | REDUCE: (5776), (9496) imply:
% 173.90/26.58 | | | | | | | | | | | | | | | | (9501) ~ (unit = e2)
% 173.90/26.58 | | | | | | | | | | | | | | | |
% 173.90/26.58 | | | | | | | | | | | | | | | | REDUCE: (8971), (9496) imply:
% 173.90/26.58 | | | | | | | | | | | | | | | | (9502) op(unit, e1) = all_22_1
% 173.90/26.58 | | | | | | | | | | | | | | | |
% 173.90/26.58 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e1, all_22_1, e1, unit,
% 173.90/26.58 | | | | | | | | | | | | | | | | simplifying with (8), (9502) gives:
% 173.90/26.58 | | | | | | | | | | | | | | | | (9503) all_22_1 = e1
% 173.90/26.58 | | | | | | | | | | | | | | | |
% 173.90/26.58 | | | | | | | | | | | | | | | | REDUCE: (9459), (9503) imply:
% 173.90/26.58 | | | | | | | | | | | | | | | | (9504) ~ (all_28_1 = e1)
% 173.90/26.58 | | | | | | | | | | | | | | | |
% 173.90/26.58 | | | | | | | | | | | | | | | | REDUCE: (9500), (9503) imply:
% 173.90/26.58 | | | | | | | | | | | | | | | | (9505) ~ (unit = e1)
% 173.90/26.58 | | | | | | | | | | | | | | | |
% 173.90/26.58 | | | | | | | | | | | | | | | | SIMP: (9505) implies:
% 173.90/26.58 | | | | | | | | | | | | | | | | (9506) ~ (unit = e1)
% 173.90/26.58 | | | | | | | | | | | | | | | |
% 173.90/26.58 | | | | | | | | | | | | | | | | REF_CLOSE: (268), (852), (9455), (9461), (9462), (9498),
% 173.90/26.58 | | | | | | | | | | | | | | | | (9501), (9504), (9506) are inconsistent by
% 173.90/26.58 | | | | | | | | | | | | | | | | sub-proof #315.
% 173.90/26.58 | | | | | | | | | | | | | | | |
% 173.90/26.58 | | | | | | | | | | | | | | | End of split
% 173.90/26.58 | | | | | | | | | | | | | | |
% 173.90/26.58 | | | | | | | | | | | | | | End of split
% 173.90/26.58 | | | | | | | | | | | | | |
% 173.90/26.58 | | | | | | | | | | | | | End of split
% 173.90/26.58 | | | | | | | | | | | | |
% 173.90/26.58 | | | | | | | | | | | | End of split
% 173.90/26.58 | | | | | | | | | | | |
% 173.90/26.58 | | | | | | | | | | | End of split
% 173.90/26.58 | | | | | | | | | | |
% 173.90/26.58 | | | | | | | | | | Case 2:
% 173.90/26.58 | | | | | | | | | | |
% 173.90/26.58 | | | | | | | | | | | (9507) all_20_2 = e2
% 173.90/26.58 | | | | | | | | | | | (9508) op(e0, e2) = all_20_1 & $i(all_20_1) & ( ~
% 173.90/26.58 | | | | | | | | | | | (all_20_1 = e1) | ( ~ (all_20_0 = e3) & op(e1,
% 173.90/26.58 | | | | | | | | | | | e0) = all_20_0 & $i(all_20_0)))
% 173.90/26.58 | | | | | | | | | | |
% 173.90/26.58 | | | | | | | | | | | ALPHA: (9508) implies:
% 173.90/26.58 | | | | | | | | | | | (9509) op(e0, e2) = all_20_1
% 173.90/26.58 | | | | | | | | | | |
% 173.90/26.58 | | | | | | | | | | | COMBINE_EQS: (581), (9507) imply:
% 173.90/26.58 | | | | | | | | | | | (9510) all_46_2 = e2
% 173.90/26.58 | | | | | | | | | | |
% 173.90/26.58 | | | | | | | | | | | REDUCE: (626), (9507) imply:
% 173.90/26.58 | | | | | | | | | | | (9511) ~ (all_61_13 = e2)
% 173.90/26.58 | | | | | | | | | | |
% 173.90/26.58 | | | | | | | | | | | REDUCE: (695), (9507) imply:
% 173.90/26.58 | | | | | | | | | | | (9512) op(e2, e2) = all_65_75
% 173.90/26.58 | | | | | | | | | | |
% 173.90/26.58 | | | | | | | | | | | REDUCE: (697), (9507) imply:
% 173.90/26.58 | | | | | | | | | | | (9513) op(e2, e0) = all_65_78
% 173.90/26.58 | | | | | | | | | | |
% 173.90/26.58 | | | | | | | | | | | REDUCE: (713), (9507) imply:
% 173.90/26.58 | | | | | | | | | | | (9514) op(e3, e2) = all_65_15
% 173.90/26.58 | | | | | | | | | | |
% 173.90/26.58 | | | | | | | | | | | REDUCE: (730), (9507) imply:
% 173.90/26.58 | | | | | | | | | | | (9515) op(e2, e2) = all_65_31
% 173.90/26.58 | | | | | | | | | | |
% 173.90/26.58 | | | | | | | | | | | REDUCE: (747), (9507) imply:
% 173.90/26.58 | | | | | | | | | | | (9516) op(e1, e2) = all_65_47
% 173.90/26.58 | | | | | | | | | | |
% 173.90/26.58 | | | | | | | | | | | REDUCE: (764), (9507) imply:
% 173.90/26.58 | | | | | | | | | | | (9517) op(e0, e2) = all_65_78
% 173.90/26.58 | | | | | | | | | | |
% 173.90/26.58 | | | | | | | | | | | REDUCE: (76), (9507) imply:
% 173.90/26.58 | | | | | | | | | | | (9518) op(e0, e0) = e2
% 173.90/26.58 | | | | | | | | | | |
% 173.90/26.58 | | | | | | | | | | | BETA: splitting (172) gives:
% 173.90/26.58 | | | | | | | | | | |
% 173.90/26.58 | | | | | | | | | | | Case 1:
% 173.90/26.58 | | | | | | | | | | | |
% 173.90/26.58 | | | | | | | | | | | | (9519) ( ~ (all_60_0 = e2) & op(e3, e3) = all_60_0 &
% 173.90/26.58 | | | | | | | | | | | | $i(all_60_0)) | ( ~ (all_60_1 = e2) & op(e2, e2)
% 173.90/26.58 | | | | | | | | | | | | = all_60_1 & $i(all_60_1))
% 173.90/26.58 | | | | | | | | | | | |
% 173.90/26.58 | | | | | | | | | | | | BETA: splitting (9519) gives:
% 173.90/26.58 | | | | | | | | | | | |
% 173.90/26.58 | | | | | | | | | | | | Case 1:
% 173.90/26.58 | | | | | | | | | | | | |
% 173.90/26.58 | | | | | | | | | | | | | (9520) ~ (all_60_0 = e2) & op(e3, e3) = all_60_0 &
% 173.90/26.58 | | | | | | | | | | | | | $i(all_60_0)
% 173.90/26.58 | | | | | | | | | | | | |
% 173.90/26.58 | | | | | | | | | | | | | ALPHA: (9520) implies:
% 173.90/26.58 | | | | | | | | | | | | | (9521) ~ (all_60_0 = e2)
% 173.90/26.58 | | | | | | | | | | | | | (9522) op(e3, e3) = all_60_0
% 173.90/26.58 | | | | | | | | | | | | |
% 173.90/26.58 | | | | | | | | | | | | | REF_CLOSE: (50), (8551), (9521), (9522) are inconsistent by
% 173.90/26.58 | | | | | | | | | | | | | sub-proof #346.
% 173.90/26.58 | | | | | | | | | | | | |
% 173.90/26.58 | | | | | | | | | | | | Case 2:
% 173.90/26.58 | | | | | | | | | | | | |
% 173.90/26.58 | | | | | | | | | | | | | (9523) ~ (all_60_1 = e2) & op(e2, e2) = all_60_1 &
% 173.90/26.58 | | | | | | | | | | | | | $i(all_60_1)
% 173.90/26.58 | | | | | | | | | | | | |
% 173.90/26.58 | | | | | | | | | | | | | ALPHA: (9523) implies:
% 173.90/26.58 | | | | | | | | | | | | | (9524) ~ (all_60_1 = e2)
% 173.90/26.58 | | | | | | | | | | | | | (9525) op(e2, e2) = all_60_1
% 173.90/26.58 | | | | | | | | | | | | |
% 173.90/26.58 | | | | | | | | | | | | | BETA: splitting (116) gives:
% 173.90/26.58 | | | | | | | | | | | | |
% 173.90/26.58 | | | | | | | | | | | | | Case 1:
% 173.90/26.58 | | | | | | | | | | | | | |
% 173.90/26.58 | | | | | | | | | | | | | | (9526) ~ (all_46_2 = e2)
% 173.90/26.58 | | | | | | | | | | | | | |
% 173.90/26.58 | | | | | | | | | | | | | | REDUCE: (9510), (9526) imply:
% 173.90/26.58 | | | | | | | | | | | | | | (9527) $false
% 173.90/26.58 | | | | | | | | | | | | | |
% 173.90/26.58 | | | | | | | | | | | | | | CLOSE: (9527) is inconsistent.
% 173.90/26.58 | | | | | | | | | | | | | |
% 173.90/26.58 | | | | | | | | | | | | | Case 2:
% 173.90/26.58 | | | | | | | | | | | | | |
% 173.90/26.58 | | | | | | | | | | | | | | (9528) op(e0, e2) = all_46_1 & $i(all_46_1) & ( ~
% 173.90/26.58 | | | | | | | | | | | | | | (all_46_1 = e3) | ( ~ (all_46_0 = e1) & op(e3,
% 173.90/26.58 | | | | | | | | | | | | | | e0) = all_46_0 & $i(all_46_0)))
% 173.90/26.58 | | | | | | | | | | | | | |
% 173.90/26.58 | | | | | | | | | | | | | | ALPHA: (9528) implies:
% 173.90/26.58 | | | | | | | | | | | | | | (9529) op(e0, e2) = all_46_1
% 173.90/26.58 | | | | | | | | | | | | | |
% 173.90/26.59 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_7, all_20_1, e2,
% 173.90/26.59 | | | | | | | | | | | | | | e0, simplifying with (225), (9509) gives:
% 173.90/26.59 | | | | | | | | | | | | | | (9530) all_61_7 = all_20_1
% 173.90/26.59 | | | | | | | | | | | | | |
% 173.90/26.59 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_7, all_46_1, e2,
% 173.90/26.59 | | | | | | | | | | | | | | e0, simplifying with (225), (9529) gives:
% 173.90/26.59 | | | | | | | | | | | | | | (9531) all_61_7 = all_46_1
% 173.90/26.59 | | | | | | | | | | | | | |
% 173.90/26.59 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_7, all_65_78, e2,
% 173.90/26.59 | | | | | | | | | | | | | | e0, simplifying with (225), (9517) gives:
% 173.90/26.59 | | | | | | | | | | | | | | (9532) all_65_78 = all_61_7
% 173.90/26.59 | | | | | | | | | | | | | |
% 173.90/26.59 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_10_1, all_65_47, e2,
% 173.90/26.59 | | | | | | | | | | | | | | e1, simplifying with (5768), (9516) gives:
% 173.90/26.59 | | | | | | | | | | | | | | (9533) all_65_47 = all_10_1
% 173.90/26.59 | | | | | | | | | | | | | |
% 173.90/26.59 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_13, all_65_78, e0,
% 173.90/26.59 | | | | | | | | | | | | | | e2, simplifying with (231), (9513) gives:
% 173.90/26.59 | | | | | | | | | | | | | | (9534) all_65_78 = all_61_13
% 173.90/26.59 | | | | | | | | | | | | | |
% 173.90/26.59 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_6_2, all_65_75, e2,
% 173.90/26.59 | | | | | | | | | | | | | | e2, simplifying with (55), (9512) gives:
% 173.90/26.59 | | | | | | | | | | | | | | (9535) all_65_75 = all_6_2
% 173.90/26.59 | | | | | | | | | | | | | |
% 173.90/26.59 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_75, all_65_31, e2,
% 173.90/26.59 | | | | | | | | | | | | | | e2, simplifying with (9512), (9515) gives:
% 173.90/26.59 | | | | | | | | | | | | | | (9536) all_65_31 = all_65_75
% 173.90/26.59 | | | | | | | | | | | | | |
% 173.90/26.59 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_60_1, all_65_31, e2,
% 173.90/26.59 | | | | | | | | | | | | | | e2, simplifying with (9515), (9525) gives:
% 173.90/26.59 | | | | | | | | | | | | | | (9537) all_65_31 = all_60_1
% 173.90/26.59 | | | | | | | | | | | | | |
% 173.90/26.59 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_14_1, all_65_15, e2,
% 173.90/26.59 | | | | | | | | | | | | | | e3, simplifying with (8541), (9514) gives:
% 173.90/26.59 | | | | | | | | | | | | | | (9538) all_65_15 = all_14_1
% 173.90/26.59 | | | | | | | | | | | | | |
% 173.90/26.59 | | | | | | | | | | | | | | COMBINE_EQS: (9536), (9537) imply:
% 173.90/26.59 | | | | | | | | | | | | | | (9539) all_65_75 = all_60_1
% 173.90/26.59 | | | | | | | | | | | | | |
% 173.90/26.59 | | | | | | | | | | | | | | SIMP: (9539) implies:
% 173.90/26.59 | | | | | | | | | | | | | | (9540) all_65_75 = all_60_1
% 173.90/26.59 | | | | | | | | | | | | | |
% 173.90/26.59 | | | | | | | | | | | | | | COMBINE_EQS: (9535), (9540) imply:
% 173.90/26.59 | | | | | | | | | | | | | | (9541) all_60_1 = all_6_2
% 173.90/26.59 | | | | | | | | | | | | | |
% 173.90/26.59 | | | | | | | | | | | | | | COMBINE_EQS: (9532), (9534) imply:
% 173.90/26.59 | | | | | | | | | | | | | | (9542) all_61_7 = all_61_13
% 173.90/26.59 | | | | | | | | | | | | | |
% 173.90/26.59 | | | | | | | | | | | | | | SIMP: (9542) implies:
% 173.90/26.59 | | | | | | | | | | | | | | (9543) all_61_7 = all_61_13
% 173.90/26.59 | | | | | | | | | | | | | |
% 173.90/26.59 | | | | | | | | | | | | | | COMBINE_EQS: (9531), (9543) imply:
% 173.90/26.59 | | | | | | | | | | | | | | (9544) all_61_13 = all_46_1
% 173.90/26.59 | | | | | | | | | | | | | |
% 173.90/26.59 | | | | | | | | | | | | | | COMBINE_EQS: (9530), (9543) imply:
% 173.90/26.59 | | | | | | | | | | | | | | (9545) all_61_13 = all_20_1
% 173.90/26.59 | | | | | | | | | | | | | |
% 173.90/26.59 | | | | | | | | | | | | | | COMBINE_EQS: (9544), (9545) imply:
% 173.90/26.59 | | | | | | | | | | | | | | (9546) all_46_1 = all_20_1
% 173.90/26.59 | | | | | | | | | | | | | |
% 173.90/26.59 | | | | | | | | | | | | | | COMBINE_EQS: (498), (9545) imply:
% 173.90/26.59 | | | | | | | | | | | | | | (9547) all_63_7 = all_20_1
% 173.90/26.59 | | | | | | | | | | | | | |
% 173.90/26.59 | | | | | | | | | | | | | | REDUCE: (8584), (9545) imply:
% 173.90/26.59 | | | | | | | | | | | | | | (9548) ~ (all_20_1 = all_14_1)
% 173.90/26.59 | | | | | | | | | | | | | |
% 173.90/26.59 | | | | | | | | | | | | | | REDUCE: (5821), (9545) imply:
% 173.90/26.59 | | | | | | | | | | | | | | (9549) ~ (all_20_1 = all_10_1)
% 173.90/26.59 | | | | | | | | | | | | | |
% 173.90/26.59 | | | | | | | | | | | | | | REDUCE: (615), (9545) imply:
% 173.90/26.59 | | | | | | | | | | | | | | (9550) ~ (all_20_1 = all_6_2)
% 173.90/26.59 | | | | | | | | | | | | | |
% 173.90/26.59 | | | | | | | | | | | | | | REDUCE: (9511), (9545) imply:
% 173.90/26.59 | | | | | | | | | | | | | | (9551) ~ (all_20_1 = e2)
% 173.90/26.59 | | | | | | | | | | | | | |
% 173.90/26.59 | | | | | | | | | | | | | | REDUCE: (9524), (9541) imply:
% 173.90/26.59 | | | | | | | | | | | | | | (9552) ~ (all_6_2 = e2)
% 173.90/26.59 | | | | | | | | | | | | | |
% 173.90/26.59 | | | | | | | | | | | | | | REDUCE: (649), (9538) imply:
% 173.90/26.59 | | | | | | | | | | | | | | (9553) op(all_61_12, e0) = all_14_1
% 173.90/26.59 | | | | | | | | | | | | | |
% 173.90/26.59 | | | | | | | | | | | | | | REDUCE: (681), (9533) imply:
% 173.90/26.59 | | | | | | | | | | | | | | (9554) op(all_61_14, e0) = all_10_1
% 173.90/26.59 | | | | | | | | | | | | | |
% 173.90/26.59 | | | | | | | | | | | | | | REDUCE: (728), (9530) imply:
% 173.90/26.59 | | | | | | | | | | | | | | (9555) op(e2, all_20_1) = all_65_29
% 173.90/26.59 | | | | | | | | | | | | | |
% 173.90/26.59 | | | | | | | | | | | | | | REDUCE: (722), (9545) imply:
% 173.90/26.59 | | | | | | | | | | | | | | (9556) op(e2, all_20_1) = all_65_23
% 173.90/26.59 | | | | | | | | | | | | | |
% 173.90/26.59 | | | | | | | | | | | | | | REDUCE: (231), (9545) imply:
% 173.90/26.59 | | | | | | | | | | | | | | (9557) op(e2, e0) = all_20_1
% 173.90/26.59 | | | | | | | | | | | | | |
% 173.90/26.59 | | | | | | | | | | | | | | BETA: splitting (266) gives:
% 173.90/26.59 | | | | | | | | | | | | | |
% 173.90/26.59 | | | | | | | | | | | | | | Case 1:
% 173.90/26.59 | | | | | | | | | | | | | | |
% 173.90/26.59 | | | | | | | | | | | | | | | (9558) all_63_5 = e3
% 173.90/26.59 | | | | | | | | | | | | | | |
% 173.90/26.59 | | | | | | | | | | | | | | | REF_CLOSE: (587), (767), (9558) are inconsistent by sub-proof
% 173.90/26.59 | | | | | | | | | | | | | | | #513.
% 173.90/26.59 | | | | | | | | | | | | | | |
% 173.90/26.59 | | | | | | | | | | | | | | Case 2:
% 173.90/26.59 | | | | | | | | | | | | | | |
% 173.90/26.59 | | | | | | | | | | | | | | | (9559) all_63_5 = e2 | all_63_5 = e1 | all_63_5 = e0
% 173.90/26.59 | | | | | | | | | | | | | | |
% 173.90/26.59 | | | | | | | | | | | | | | | BETA: splitting (9559) gives:
% 173.90/26.59 | | | | | | | | | | | | | | |
% 173.90/26.59 | | | | | | | | | | | | | | | Case 1:
% 173.90/26.59 | | | | | | | | | | | | | | | |
% 173.90/26.59 | | | | | | | | | | | | | | | | (9560) all_63_5 = e2
% 173.90/26.59 | | | | | | | | | | | | | | | |
% 173.90/26.59 | | | | | | | | | | | | | | | | COMBINE_EQS: (587), (9560) imply:
% 173.90/26.59 | | | | | | | | | | | | | | | | (9561) all_6_2 = e2
% 173.90/26.59 | | | | | | | | | | | | | | | |
% 173.90/26.59 | | | | | | | | | | | | | | | | SIMP: (9561) implies:
% 173.90/26.59 | | | | | | | | | | | | | | | | (9562) all_6_2 = e2
% 173.90/26.59 | | | | | | | | | | | | | | | |
% 173.90/26.59 | | | | | | | | | | | | | | | | REDUCE: (9552), (9562) imply:
% 173.90/26.59 | | | | | | | | | | | | | | | | (9563) $false
% 173.90/26.59 | | | | | | | | | | | | | | | |
% 173.90/26.59 | | | | | | | | | | | | | | | | CLOSE: (9563) is inconsistent.
% 173.90/26.59 | | | | | | | | | | | | | | | |
% 173.90/26.59 | | | | | | | | | | | | | | | Case 2:
% 173.90/26.59 | | | | | | | | | | | | | | | |
% 173.90/26.59 | | | | | | | | | | | | | | | | (9564) ~ (all_63_5 = e2)
% 173.90/26.59 | | | | | | | | | | | | | | | | (9565) all_63_5 = e1 | all_63_5 = e0
% 173.90/26.59 | | | | | | | | | | | | | | | |
% 173.90/26.59 | | | | | | | | | | | | | | | | BETA: splitting (9565) gives:
% 173.90/26.59 | | | | | | | | | | | | | | | |
% 173.90/26.59 | | | | | | | | | | | | | | | | Case 1:
% 173.90/26.59 | | | | | | | | | | | | | | | | |
% 173.90/26.59 | | | | | | | | | | | | | | | | | (9566) all_63_5 = e1
% 173.90/26.59 | | | | | | | | | | | | | | | | |
% 173.90/26.59 | | | | | | | | | | | | | | | | | COMBINE_EQS: (587), (9566) imply:
% 173.90/26.59 | | | | | | | | | | | | | | | | | (9567) all_6_2 = e1
% 173.90/26.59 | | | | | | | | | | | | | | | | |
% 173.90/26.59 | | | | | | | | | | | | | | | | | SIMP: (9567) implies:
% 173.90/26.59 | | | | | | | | | | | | | | | | | (9568) all_6_2 = e1
% 173.90/26.59 | | | | | | | | | | | | | | | | |
% 173.90/26.59 | | | | | | | | | | | | | | | | | REDUCE: (5857), (9568) imply:
% 173.90/26.59 | | | | | | | | | | | | | | | | | (9569) $false
% 173.90/26.59 | | | | | | | | | | | | | | | | |
% 173.90/26.59 | | | | | | | | | | | | | | | | | CLOSE: (9569) is inconsistent.
% 173.90/26.59 | | | | | | | | | | | | | | | | |
% 173.90/26.59 | | | | | | | | | | | | | | | | Case 2:
% 173.90/26.59 | | | | | | | | | | | | | | | | |
% 173.90/26.59 | | | | | | | | | | | | | | | | | (9570) all_63_5 = e0
% 173.90/26.59 | | | | | | | | | | | | | | | | |
% 173.90/26.59 | | | | | | | | | | | | | | | | | COMBINE_EQS: (587), (9570) imply:
% 173.90/26.59 | | | | | | | | | | | | | | | | | (9571) all_6_2 = e0
% 173.90/26.59 | | | | | | | | | | | | | | | | |
% 173.90/26.59 | | | | | | | | | | | | | | | | | SIMP: (9571) implies:
% 173.90/26.59 | | | | | | | | | | | | | | | | | (9572) all_6_2 = e0
% 173.90/26.59 | | | | | | | | | | | | | | | | |
% 173.90/26.59 | | | | | | | | | | | | | | | | | COMBINE_EQS: (449), (9572) imply:
% 173.90/26.59 | | | | | | | | | | | | | | | | | (9573) all_22_2 = e0
% 173.90/26.59 | | | | | | | | | | | | | | | | |
% 173.90/26.59 | | | | | | | | | | | | | | | | | COMBINE_EQS: (580), (9572) imply:
% 173.90/26.59 | | | | | | | | | | | | | | | | | (9574) all_38_2 = e0
% 173.90/26.59 | | | | | | | | | | | | | | | | |
% 173.90/26.59 | | | | | | | | | | | | | | | | | REDUCE: (9550), (9572) imply:
% 173.90/26.59 | | | | | | | | | | | | | | | | | (9575) ~ (all_20_1 = e0)
% 173.90/26.59 | | | | | | | | | | | | | | | | |
% 173.90/26.59 | | | | | | | | | | | | | | | | | REDUCE: (8590), (9572) imply:
% 173.90/26.59 | | | | | | | | | | | | | | | | | (9576) ~ (all_14_1 = e0)
% 173.90/26.59 | | | | | | | | | | | | | | | | |
% 173.90/26.59 | | | | | | | | | | | | | | | | | REDUCE: (5822), (9572) imply:
% 173.90/26.59 | | | | | | | | | | | | | | | | | (9577) ~ (all_10_1 = e0)
% 173.90/26.59 | | | | | | | | | | | | | | | | |
% 173.90/26.59 | | | | | | | | | | | | | | | | | REDUCE: (9552), (9572) imply:
% 173.90/26.59 | | | | | | | | | | | | | | | | | (9578) ~ (e2 = e0)
% 173.90/26.59 | | | | | | | | | | | | | | | | |
% 173.90/26.59 | | | | | | | | | | | | | | | | | REDUCE: (654), (9572) imply:
% 173.90/26.59 | | | | | | | | | | | | | | | | | (9579) op(e0, e3) = all_65_20
% 173.90/26.59 | | | | | | | | | | | | | | | | |
% 173.90/26.59 | | | | | | | | | | | | | | | | | REDUCE: (5853), (9572) imply:
% 173.90/26.59 | | | | | | | | | | | | | | | | | (9580) op(e0, e1) = all_65_37
% 173.90/26.59 | | | | | | | | | | | | | | | | |
% 173.90/26.59 | | | | | | | | | | | | | | | | | REDUCE: (657), (9572) imply:
% 173.90/26.59 | | | | | | | | | | | | | | | | | (9581) op(e0, e0) = all_65_23
% 173.90/26.59 | | | | | | | | | | | | | | | | |
% 173.90/26.59 | | | | | | | | | | | | | | | | | REDUCE: (8616), (9572) imply:
% 173.90/26.59 | | | | | | | | | | | | | | | | | (9582) op(e3, e0) = all_65_20
% 173.90/26.59 | | | | | | | | | | | | | | | | |
% 173.90/26.59 | | | | | | | | | | | | | | | | | REDUCE: (720), (9572) imply:
% 173.90/26.59 | | | | | | | | | | | | | | | | | (9583) op(e2, e0) = all_65_21
% 173.90/26.59 | | | | | | | | | | | | | | | | |
% 173.90/26.59 | | | | | | | | | | | | | | | | | REDUCE: (55), (9572) imply:
% 173.90/26.59 | | | | | | | | | | | | | | | | | (9584) op(e2, e2) = e0
% 173.90/26.59 | | | | | | | | | | | | | | | | |
% 173.90/26.59 | | | | | | | | | | | | | | | | | REDUCE: (737), (9572) imply:
% 173.90/26.59 | | | | | | | | | | | | | | | | | (9585) op(e1, e0) = all_65_37
% 173.90/26.59 | | | | | | | | | | | | | | | | |
% 173.90/26.59 | | | | | | | | | | | | | | | | | REDUCE: (754), (9572) imply:
% 173.90/26.59 | | | | | | | | | | | | | | | | | (9586) op(e0, e0) = all_65_59
% 173.90/26.59 | | | | | | | | | | | | | | | | |
% 173.90/26.59 | | | | | | | | | | | | | | | | | BETA: splitting (80) gives:
% 173.90/26.59 | | | | | | | | | | | | | | | | |
% 173.90/26.59 | | | | | | | | | | | | | | | | | Case 1:
% 173.90/26.59 | | | | | | | | | | | | | | | | | |
% 173.90/26.59 | | | | | | | | | | | | | | | | | | (9587) ~ (all_22_2 = e0)
% 173.90/26.59 | | | | | | | | | | | | | | | | | |
% 173.90/26.59 | | | | | | | | | | | | | | | | | | REDUCE: (9573), (9587) imply:
% 173.90/26.59 | | | | | | | | | | | | | | | | | | (9588) $false
% 173.90/26.59 | | | | | | | | | | | | | | | | | |
% 173.90/26.59 | | | | | | | | | | | | | | | | | | CLOSE: (9588) is inconsistent.
% 173.90/26.59 | | | | | | | | | | | | | | | | | |
% 173.90/26.59 | | | | | | | | | | | | | | | | | Case 2:
% 173.90/26.59 | | | | | | | | | | | | | | | | | |
% 173.90/26.59 | | | | | | | | | | | | | | | | | | (9589) op(e2, e0) = all_22_1 & $i(all_22_1) & ( ~
% 173.90/26.59 | | | | | | | | | | | | | | | | | | (all_22_1 = e1) | ( ~ (all_22_0 = e3) & op(e1,
% 173.90/26.59 | | | | | | | | | | | | | | | | | | e2) = all_22_0 & $i(all_22_0)))
% 173.90/26.59 | | | | | | | | | | | | | | | | | |
% 173.90/26.59 | | | | | | | | | | | | | | | | | | ALPHA: (9589) implies:
% 173.90/26.59 | | | | | | | | | | | | | | | | | | (9590) op(e2, e0) = all_22_1
% 173.90/26.59 | | | | | | | | | | | | | | | | | |
% 173.90/26.59 | | | | | | | | | | | | | | | | | | BETA: splitting (104) gives:
% 173.90/26.59 | | | | | | | | | | | | | | | | | |
% 173.90/26.59 | | | | | | | | | | | | | | | | | | Case 1:
% 173.90/26.59 | | | | | | | | | | | | | | | | | | |
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | (9591) ~ (all_38_2 = e0)
% 173.90/26.59 | | | | | | | | | | | | | | | | | | |
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | REDUCE: (9574), (9591) imply:
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | (9592) $false
% 173.90/26.59 | | | | | | | | | | | | | | | | | | |
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | CLOSE: (9592) is inconsistent.
% 173.90/26.59 | | | | | | | | | | | | | | | | | | |
% 173.90/26.59 | | | | | | | | | | | | | | | | | | Case 2:
% 173.90/26.59 | | | | | | | | | | | | | | | | | | |
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | (9593) op(e2, e0) = all_38_1 & $i(all_38_1) & ( ~
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | (all_38_1 = e3) | ( ~ (all_38_0 = e1) & op(e3,
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | e2) = all_38_0 & $i(all_38_0)))
% 173.90/26.59 | | | | | | | | | | | | | | | | | | |
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | ALPHA: (9593) implies:
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | (9594) op(e2, e0) = all_38_1
% 173.90/26.59 | | | | | | | | | | | | | | | | | | |
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e2, all_65_23, e0, e0,
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | simplifying with (9518), (9581) gives:
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | (9595) all_65_23 = e2
% 173.90/26.59 | | | | | | | | | | | | | | | | | | |
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_59, all_65_23, e0,
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | e0, simplifying with (9581), (9586) gives:
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | (9596) all_65_23 = all_65_59
% 173.90/26.59 | | | | | | | | | | | | | | | | | | |
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_11, all_65_37, e1,
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | e0, simplifying with (224), (9580) gives:
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | (9597) all_65_37 = all_61_11
% 173.90/26.59 | | | | | | | | | | | | | | | | | | |
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_3, all_65_20, e3,
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | e0, simplifying with (226), (9579) gives:
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | (9598) all_65_20 = all_61_3
% 173.90/26.59 | | | | | | | | | | | | | | | | | | |
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_14, all_65_37, e0,
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | e1, simplifying with (227), (9585) gives:
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | (9599) all_65_37 = all_61_14
% 173.90/26.59 | | | | | | | | | | | | | | | | | | |
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_22_1, all_38_1, e0,
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | e2, simplifying with (9590), (9594) gives:
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | (9600) all_38_1 = all_22_1
% 173.90/26.59 | | | | | | | | | | | | | | | | | | |
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_38_1, all_65_21, e0,
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | e2, simplifying with (9583), (9594) gives:
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | (9601) all_65_21 = all_38_1
% 173.90/26.59 | | | | | | | | | | | | | | | | | | |
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_20_1, all_65_21, e0,
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | e2, simplifying with (9557), (9583) gives:
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | (9602) all_65_21 = all_20_1
% 173.90/26.59 | | | | | | | | | | | | | | | | | | |
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_29, all_65_23,
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | all_20_1, e2, simplifying with (9555), (9556)
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | gives:
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | (9603) all_65_23 = all_65_29
% 173.90/26.59 | | | | | | | | | | | | | | | | | | |
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_12, all_65_20, e0,
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | e3, simplifying with (235), (9582) gives:
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | (9604) all_65_20 = all_61_12
% 173.90/26.59 | | | | | | | | | | | | | | | | | | |
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9598), (9604) imply:
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | (9605) all_61_3 = all_61_12
% 173.90/26.59 | | | | | | | | | | | | | | | | | | |
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | SIMP: (9605) implies:
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | (9606) all_61_3 = all_61_12
% 173.90/26.59 | | | | | | | | | | | | | | | | | | |
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9601), (9602) imply:
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | (9607) all_38_1 = all_20_1
% 173.90/26.59 | | | | | | | | | | | | | | | | | | |
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | SIMP: (9607) implies:
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | (9608) all_38_1 = all_20_1
% 173.90/26.59 | | | | | | | | | | | | | | | | | | |
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9595), (9603) imply:
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | (9609) all_65_29 = e2
% 173.90/26.59 | | | | | | | | | | | | | | | | | | |
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9596), (9603) imply:
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | (9610) all_65_29 = all_65_59
% 173.90/26.59 | | | | | | | | | | | | | | | | | | |
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9609), (9610) imply:
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | (9611) all_65_59 = e2
% 173.90/26.59 | | | | | | | | | | | | | | | | | | |
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9597), (9599) imply:
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | (9612) all_61_11 = all_61_14
% 173.90/26.59 | | | | | | | | | | | | | | | | | | |
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | SIMP: (9612) implies:
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | (9613) all_61_11 = all_61_14
% 173.90/26.59 | | | | | | | | | | | | | | | | | | |
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9600), (9608) imply:
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | (9614) all_22_1 = all_20_1
% 173.90/26.59 | | | | | | | | | | | | | | | | | | |
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | SIMP: (9614) implies:
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | (9615) all_22_1 = all_20_1
% 173.90/26.59 | | | | | | | | | | | | | | | | | | |
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | REDUCE: (685), (9606) imply:
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | (9616) op(all_61_12, e0) = all_65_55
% 173.90/26.59 | | | | | | | | | | | | | | | | | | |
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | REDUCE: (693), (9613) imply:
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | (9617) op(all_61_14, e0) = all_65_71
% 173.90/26.59 | | | | | | | | | | | | | | | | | | |
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_10_1, all_65_71, e0,
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | all_61_14, simplifying with (9554), (9617) gives:
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | (9618) all_65_71 = all_10_1
% 173.90/26.59 | | | | | | | | | | | | | | | | | | |
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_14_1, all_65_55, e0,
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | all_61_12, simplifying with (9553), (9616) gives:
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | (9619) all_65_55 = all_14_1
% 173.90/26.59 | | | | | | | | | | | | | | | | | | |
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | BETA: splitting (163) gives:
% 173.90/26.59 | | | | | | | | | | | | | | | | | | |
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | Case 1:
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | |
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | (9620) ~ (all_58_1 = e0)
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | |
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | REDUCE: (481), (9620) imply:
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | (9621) ~ (all_52_1 = e0)
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | |
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | BETA: splitting (158) gives:
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | |
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | | (9622) ~ (all_58_3 = e2)
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | | REDUCE: (475), (9622) imply:
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | | (9623) ~ (all_52_3 = e2)
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (162) gives:
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | | | (9624) ~ (all_58_2 = e3)
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (478), (9624) imply:
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | | | (9625) ~ (all_52_2 = e3)
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (167) gives:
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | | | | (9626) ~ (all_58_0 = e1)
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (484), (9626) imply:
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | | | | (9627) ~ (all_52_0 = e1)
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (157) gives:
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | | | | | (9628) ~ (all_58_3 = e1)
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (475), (9628) imply:
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | | | | | (9629) ~ (all_52_3 = e1)
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (160) gives:
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | (9630) ~ (all_58_2 = e0)
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (478), (9630) imply:
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | (9631) ~ (all_52_2 = e0)
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (165) gives:
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | (9632) ~ (all_58_1 = e3)
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (481), (9632) imply:
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | (9633) ~ (all_52_1 = e3)
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (168) gives:
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9634) ~ (all_58_0 = e2)
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (484), (9634) imply:
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9635) ~ (all_52_0 = e2)
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (19), (50), (151), (159), (166), (235),
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | (475), (484), (534), (714), (8551), (9553),
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9576), (9584), (9627), (9635) are inconsistent by
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #335.
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9636) all_58_1 = e3
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (481), (9633), (9636) are inconsistent by
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #511.
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | (9637) all_58_1 = e3
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | (9638) all_58_0 = e2
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (19), (50), (149), (481), (484), (538),
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | (629), (631), (748), (5784), (9584), (9631),
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | (9637), (9638) are inconsistent by sub-proof #261.
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | (9639) all_58_3 = e1
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (475), (9629), (9639) are inconsistent by
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #460.
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | | | | | (9640) all_58_2 = e0
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (478), (9640) imply:
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | | | | | (9641) all_52_2 = e0
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9641) implies:
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | | | | | (9642) all_52_2 = e0
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (748), (9642) imply:
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | | | | | (9643) op(e1, e0) = unit
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (50), (227), (9554), (9577), (9643) are
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #244.
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | | | | (9644) all_58_2 = e3
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (478), (9625), (9644) are inconsistent by
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #507.
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | | | (9645) all_58_2 = e3
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | | | (9646) all_58_0 = e1
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (50), (148), (150), (163), (475), (478), (481),
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | | | (484), (536), (539), (628), (630), (631), (632),
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | | | (633), (731), (765), (9518), (9584), (9623),
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | | | (9645), (9646) are inconsistent by sub-proof #241.
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | | End of split
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | | (9647) all_58_1 = e0
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (481), (9621), (9647) are inconsistent by
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | | sub-proof #462.
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | End of split
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | |
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | Case 2:
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | |
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | (9648) all_58_1 = e0
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | |
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (481), (9648) imply:
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | (9649) all_52_1 = e0
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | |
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | SIMP: (9649) implies:
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | (9650) all_52_1 = e0
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | |
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | REDUCE: (731), (9650) imply:
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | (9651) op(e2, e0) = unit
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | |
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_20_1, unit, e0, e2,
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | simplifying with (9557), (9651) gives:
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | (9652) all_20_1 = unit
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | |
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9547), (9652) imply:
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | (9653) all_63_7 = unit
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | |
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | REDUCE: (9548), (9652) imply:
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | (9654) ~ (all_14_1 = unit)
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | |
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | SIMP: (9654) implies:
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | (9655) ~ (all_14_1 = unit)
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | |
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | REDUCE: (9549), (9652) imply:
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | (9656) ~ (all_10_1 = unit)
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | |
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | SIMP: (9656) implies:
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | (9657) ~ (all_10_1 = unit)
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | |
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | REDUCE: (9551), (9652) imply:
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | (9658) ~ (unit = e2)
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | |
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | REDUCE: (9575), (9652) imply:
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | (9659) ~ (unit = e0)
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | |
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | BETA: splitting (264) gives:
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | |
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | | (9660) all_63_7 = e3
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9653), (9660) imply:
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | | (9661) unit = e3
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | | REDUCE: (851), (9661) imply:
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | | (9662) $false
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | | CLOSE: (9662) is inconsistent.
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | | (9663) all_63_7 = e2 | all_63_7 = e1 | all_63_7 = e0
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9663) gives:
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | | | (9664) all_63_7 = e2
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9653), (9664) imply:
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | | | (9665) unit = e2
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9658), (9665) imply:
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | | | (9666) $false
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (9666) is inconsistent.
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | | | (9667) all_63_7 = e1 | all_63_7 = e0
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9667) gives:
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | | | | (9668) all_63_7 = e1
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9653), (9668) imply:
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | | | | (9669) unit = e1
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9655), (9669) imply:
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | | | | (9670) ~ (all_14_1 = e1)
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9657), (9669) imply:
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | | | | (9671) ~ (all_10_1 = e1)
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (267) gives:
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | | | | | (9672) all_63_4 = e3
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8577), (9672) imply:
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | | | | | (9673) all_14_1 = e3
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.59 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8589), (9673) imply:
% 173.90/26.60 | | | | | | | | | | | | | | | | | | | | | | | | (9674) ~ (all_10_1 = e3)
% 173.90/26.60 | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.60 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9674) implies:
% 173.90/26.60 | | | | | | | | | | | | | | | | | | | | | | | | (9675) ~ (all_10_1 = e3)
% 173.90/26.60 | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.60 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (265), (5809), (5823), (9577), (9671), (9675) are
% 173.90/26.60 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #287.
% 173.90/26.60 | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.60 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.90/26.60 | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.60 | | | | | | | | | | | | | | | | | | | | | | | | (9676) all_63_4 = e2 | all_63_4 = e1 | all_63_4 = e0
% 173.90/26.60 | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.60 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8577), (8591), (9576), (9670), (9676) are
% 173.90/26.60 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #354.
% 173.90/26.60 | | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.60 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.90/26.60 | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.60 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.90/26.60 | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.60 | | | | | | | | | | | | | | | | | | | | | | | (9677) all_63_7 = e0
% 173.90/26.60 | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.60 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9653), (9677) imply:
% 173.90/26.60 | | | | | | | | | | | | | | | | | | | | | | | (9678) unit = e0
% 173.90/26.60 | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.60 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9659), (9678) imply:
% 173.90/26.60 | | | | | | | | | | | | | | | | | | | | | | | (9679) $false
% 173.90/26.60 | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.60 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (9679) is inconsistent.
% 173.90/26.60 | | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.60 | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.90/26.60 | | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.60 | | | | | | | | | | | | | | | | | | | | | End of split
% 173.90/26.60 | | | | | | | | | | | | | | | | | | | | |
% 173.90/26.60 | | | | | | | | | | | | | | | | | | | | End of split
% 173.90/26.60 | | | | | | | | | | | | | | | | | | | |
% 173.90/26.60 | | | | | | | | | | | | | | | | | | | End of split
% 173.90/26.60 | | | | | | | | | | | | | | | | | | |
% 173.90/26.60 | | | | | | | | | | | | | | | | | | End of split
% 173.90/26.60 | | | | | | | | | | | | | | | | | |
% 173.90/26.60 | | | | | | | | | | | | | | | | | End of split
% 173.90/26.60 | | | | | | | | | | | | | | | | |
% 173.90/26.60 | | | | | | | | | | | | | | | | End of split
% 173.90/26.60 | | | | | | | | | | | | | | | |
% 173.90/26.60 | | | | | | | | | | | | | | | End of split
% 173.90/26.60 | | | | | | | | | | | | | | |
% 173.90/26.60 | | | | | | | | | | | | | | End of split
% 173.90/26.60 | | | | | | | | | | | | | |
% 173.90/26.60 | | | | | | | | | | | | | End of split
% 173.90/26.60 | | | | | | | | | | | | |
% 173.90/26.60 | | | | | | | | | | | | End of split
% 173.90/26.60 | | | | | | | | | | | |
% 173.90/26.60 | | | | | | | | | | | Case 2:
% 173.90/26.60 | | | | | | | | | | | |
% 173.90/26.60 | | | | | | | | | | | | (9680) ( ~ (all_60_2 = e2) & op(e1, e1) = all_60_2 &
% 173.90/26.60 | | | | | | | | | | | | $i(all_60_2)) | ( ~ (all_60_3 = e2) & op(e0, e0)
% 173.90/26.60 | | | | | | | | | | | | = all_60_3 & $i(all_60_3))
% 173.90/26.60 | | | | | | | | | | | |
% 173.90/26.60 | | | | | | | | | | | | REF_CLOSE: (50), (5784), (9518), (9680) are inconsistent by
% 173.90/26.60 | | | | | | | | | | | | sub-proof #246.
% 173.90/26.60 | | | | | | | | | | | |
% 173.90/26.60 | | | | | | | | | | | End of split
% 173.90/26.60 | | | | | | | | | | |
% 173.90/26.60 | | | | | | | | | | End of split
% 173.90/26.60 | | | | | | | | | |
% 173.90/26.60 | | | | | | | | | End of split
% 173.90/26.60 | | | | | | | | |
% 173.90/26.60 | | | | | | | | End of split
% 173.90/26.60 | | | | | | | |
% 173.90/26.60 | | | | | | | Case 2:
% 173.90/26.60 | | | | | | | |
% 173.90/26.60 | | | | | | | | (9681) all_12_2 = e1
% 173.90/26.60 | | | | | | | | (9682) op(e2, e1) = all_12_1 & $i(all_12_1) & ( ~ (all_12_1 =
% 173.90/26.60 | | | | | | | | e3) | ( ~ (all_12_0 = e0) & op(e3, e2) = all_12_0
% 173.90/26.60 | | | | | | | | & $i(all_12_0)))
% 173.90/26.60 | | | | | | | |
% 173.90/26.60 | | | | | | | | ALPHA: (9682) implies:
% 173.90/26.60 | | | | | | | | (9683) op(e2, e1) = all_12_1
% 173.90/26.60 | | | | | | | | (9684) ~ (all_12_1 = e3) | ( ~ (all_12_0 = e0) & op(e3, e2)
% 173.90/26.60 | | | | | | | | = all_12_0 & $i(all_12_0))
% 173.90/26.60 | | | | | | | |
% 173.90/26.60 | | | | | | | | COMBINE_EQS: (575), (9681) imply:
% 173.90/26.60 | | | | | | | | (9685) all_6_2 = e1
% 173.90/26.60 | | | | | | | |
% 173.90/26.60 | | | | | | | | COMBINE_EQS: (570), (9685) imply:
% 173.90/26.60 | | | | | | | | (9686) all_16_2 = e1
% 173.90/26.60 | | | | | | | |
% 173.90/26.60 | | | | | | | | REDUCE: (604), (9685) imply:
% 173.90/26.60 | | | | | | | | (9687) ~ (all_61_1 = e1)
% 173.90/26.60 | | | | | | | |
% 173.90/26.60 | | | | | | | | REDUCE: (607), (9685) imply:
% 173.90/26.60 | | | | | | | | (9688) ~ (all_61_4 = e1)
% 173.90/26.60 | | | | | | | |
% 173.90/26.60 | | | | | | | | REDUCE: (611), (9685) imply:
% 173.90/26.60 | | | | | | | | (9689) ~ (all_61_7 = e1)
% 173.90/26.60 | | | | | | | |
% 173.90/26.60 | | | | | | | | REDUCE: (615), (9685) imply:
% 173.90/26.60 | | | | | | | | (9690) ~ (all_61_13 = e1)
% 173.90/26.60 | | | | | | | |
% 173.90/26.60 | | | | | | | | REDUCE: (5822), (9685) imply:
% 173.90/26.60 | | | | | | | | (9691) ~ (all_10_1 = e1)
% 173.90/26.60 | | | | | | | |
% 173.90/26.60 | | | | | | | | REDUCE: (5831), (9685) imply:
% 173.90/26.60 | | | | | | | | (9692) op(all_10_1, e1) = e1
% 173.90/26.60 | | | | | | | |
% 173.90/26.60 | | | | | | | | REDUCE: (654), (9685) imply:
% 174.28/26.60 | | | | | | | | (9693) op(e1, e3) = all_65_20
% 174.28/26.60 | | | | | | | |
% 174.28/26.60 | | | | | | | | REDUCE: (655), (9685) imply:
% 174.28/26.60 | | | | | | | | (9694) op(e1, e2) = all_65_21
% 174.28/26.60 | | | | | | | |
% 174.28/26.60 | | | | | | | | REDUCE: (657), (9685) imply:
% 174.28/26.60 | | | | | | | | (9695) op(e1, e0) = all_65_23
% 174.28/26.60 | | | | | | | |
% 174.28/26.60 | | | | | | | | REDUCE: (703), (9685) imply:
% 174.28/26.60 | | | | | | | | (9696) op(e3, e1) = all_65_5
% 174.28/26.60 | | | | | | | |
% 174.28/26.60 | | | | | | | | REDUCE: (720), (9685) imply:
% 174.28/26.60 | | | | | | | | (9697) op(e2, e1) = all_65_21
% 174.28/26.60 | | | | | | | |
% 174.28/26.60 | | | | | | | | REDUCE: (55), (9685) imply:
% 174.28/26.60 | | | | | | | | (9698) op(e2, e2) = e1
% 174.28/26.60 | | | | | | | |
% 174.28/26.60 | | | | | | | | REDUCE: (737), (9685) imply:
% 174.28/26.60 | | | | | | | | (9699) op(e1, e1) = all_65_37
% 174.28/26.60 | | | | | | | |
% 174.28/26.60 | | | | | | | | REDUCE: (754), (9685) imply:
% 174.28/26.60 | | | | | | | | (9700) op(e0, e1) = all_65_59
% 174.28/26.60 | | | | | | | |
% 174.28/26.60 | | | | | | | | BETA: splitting (71) gives:
% 174.28/26.60 | | | | | | | |
% 174.28/26.60 | | | | | | | | Case 1:
% 174.28/26.60 | | | | | | | | |
% 174.28/26.60 | | | | | | | | | (9701) ~ (all_16_2 = e1)
% 174.28/26.60 | | | | | | | | |
% 174.28/26.60 | | | | | | | | | REDUCE: (9686), (9701) imply:
% 174.28/26.60 | | | | | | | | | (9702) $false
% 174.28/26.60 | | | | | | | | |
% 174.28/26.60 | | | | | | | | | CLOSE: (9702) is inconsistent.
% 174.28/26.60 | | | | | | | | |
% 174.28/26.60 | | | | | | | | Case 2:
% 174.28/26.60 | | | | | | | | |
% 174.28/26.60 | | | | | | | | | (9703) op(e2, e1) = all_16_1 & $i(all_16_1) & ( ~ (all_16_1
% 174.28/26.60 | | | | | | | | | = e0) | ( ~ (all_16_0 = e3) & op(e0, e2) =
% 174.28/26.60 | | | | | | | | | all_16_0 & $i(all_16_0)))
% 174.28/26.60 | | | | | | | | |
% 174.28/26.60 | | | | | | | | | ALPHA: (9703) implies:
% 174.28/26.60 | | | | | | | | | (9704) op(e2, e1) = all_16_1
% 174.28/26.60 | | | | | | | | | (9705) ~ (all_16_1 = e0) | ( ~ (all_16_0 = e3) & op(e0,
% 174.28/26.60 | | | | | | | | | e2) = all_16_0 & $i(all_16_0))
% 174.28/26.60 | | | | | | | | |
% 174.28/26.60 | | | | | | | | | GROUND_INST: instantiating (50) with all_61_11, all_65_59, e1,
% 174.28/26.60 | | | | | | | | | e0, simplifying with (224), (9700) gives:
% 174.28/26.60 | | | | | | | | | (9706) all_65_59 = all_61_11
% 174.28/26.60 | | | | | | | | |
% 174.28/26.60 | | | | | | | | | GROUND_INST: instantiating (50) with all_61_14, all_65_23, e0,
% 174.28/26.60 | | | | | | | | | e1, simplifying with (227), (9695) gives:
% 174.28/26.60 | | | | | | | | | (9707) all_65_23 = all_61_14
% 174.28/26.60 | | | | | | | | |
% 174.28/26.60 | | | | | | | | | GROUND_INST: instantiating (50) with e2, all_65_37, e1, e1,
% 174.28/26.60 | | | | | | | | | simplifying with (5784), (9699) gives:
% 174.28/26.60 | | | | | | | | | (9708) all_65_37 = e2
% 174.28/26.60 | | | | | | | | |
% 174.28/26.60 | | | | | | | | | GROUND_INST: instantiating (50) with all_61_2, all_65_20, e3,
% 174.28/26.60 | | | | | | | | | e1, simplifying with (230), (9693) gives:
% 174.28/26.60 | | | | | | | | | (9709) all_65_20 = all_61_2
% 174.28/26.60 | | | | | | | | |
% 174.28/26.60 | | | | | | | | | GROUND_INST: instantiating (50) with all_10_1, all_16_1, e1,
% 174.28/26.60 | | | | | | | | | e2, simplifying with (5838), (9704) gives:
% 174.28/26.60 | | | | | | | | | (9710) all_16_1 = all_10_1
% 174.28/26.60 | | | | | | | | |
% 174.28/26.60 | | | | | | | | | GROUND_INST: instantiating (50) with all_16_1, all_65_21, e1,
% 174.28/26.60 | | | | | | | | | e2, simplifying with (9697), (9704) gives:
% 174.28/26.60 | | | | | | | | | (9711) all_65_21 = all_16_1
% 174.28/26.60 | | | | | | | | |
% 174.28/26.60 | | | | | | | | | GROUND_INST: instantiating (50) with all_12_1, all_65_21, e1,
% 174.28/26.60 | | | | | | | | | e2, simplifying with (9683), (9697) gives:
% 174.28/26.60 | | | | | | | | | (9712) all_65_21 = all_12_1
% 174.28/26.60 | | | | | | | | |
% 174.28/26.60 | | | | | | | | | GROUND_INST: instantiating (50) with all_61_8, all_65_5, e1,
% 174.28/26.60 | | | | | | | | | e3, simplifying with (236), (9696) gives:
% 174.28/26.60 | | | | | | | | | (9713) all_65_5 = all_61_8
% 174.28/26.60 | | | | | | | | |
% 174.28/26.60 | | | | | | | | | COMBINE_EQS: (9711), (9712) imply:
% 174.28/26.60 | | | | | | | | | (9714) all_16_1 = all_12_1
% 174.28/26.60 | | | | | | | | |
% 174.28/26.60 | | | | | | | | | SIMP: (9714) implies:
% 174.28/26.60 | | | | | | | | | (9715) all_16_1 = all_12_1
% 174.28/26.60 | | | | | | | | |
% 174.28/26.60 | | | | | | | | | COMBINE_EQS: (9710), (9715) imply:
% 174.28/26.60 | | | | | | | | | (9716) all_12_1 = all_10_1
% 174.28/26.60 | | | | | | | | |
% 174.28/26.60 | | | | | | | | | SIMP: (9716) implies:
% 174.28/26.60 | | | | | | | | | (9717) all_12_1 = all_10_1
% 174.28/26.60 | | | | | | | | |
% 174.28/26.60 | | | | | | | | | COMBINE_EQS: (9712), (9717) imply:
% 174.28/26.60 | | | | | | | | | (9718) all_65_21 = all_10_1
% 174.28/26.60 | | | | | | | | |
% 174.28/26.60 | | | | | | | | | REDUCE: (639), (9713) imply:
% 174.28/26.60 | | | | | | | | | (9719) op(all_61_4, e2) = all_61_8
% 174.28/26.60 | | | | | | | | |
% 174.28/26.60 | | | | | | | | | REDUCE: (687), (9706) imply:
% 174.28/26.60 | | | | | | | | | (9720) op(all_61_7, e2) = all_61_11
% 174.28/26.60 | | | | | | | | |
% 174.28/26.60 | | | | | | | | | REDUCE: (5825), (9708) imply:
% 174.28/26.60 | | | | | | | | | (9721) op(all_10_1, e2) = e2
% 174.28/26.60 | | | | | | | | |
% 174.28/26.60 | | | | | | | | | REDUCE: (719), (9709) imply:
% 174.28/26.60 | | | | | | | | | (9722) op(e2, all_61_1) = all_61_2
% 174.28/26.60 | | | | | | | | |
% 174.28/26.60 | | | | | | | | | REDUCE: (722), (9707) imply:
% 174.28/26.60 | | | | | | | | | (9723) op(e2, all_61_13) = all_61_14
% 174.28/26.60 | | | | | | | | |
% 174.28/26.60 | | | | | | | | | REDUCE: (5855), (9708) imply:
% 174.28/26.60 | | | | | | | | | (9724) op(e2, all_10_1) = e2
% 174.28/26.60 | | | | | | | | |
% 174.28/26.60 | | | | | | | | | BETA: splitting (68) gives:
% 174.28/26.60 | | | | | | | | |
% 174.28/26.60 | | | | | | | | | Case 1:
% 174.28/26.60 | | | | | | | | | |
% 174.28/26.60 | | | | | | | | | | (9725) ~ (all_14_2 = e2)
% 174.28/26.60 | | | | | | | | | |
% 174.28/26.60 | | | | | | | | | | BETA: splitting (77) gives:
% 174.28/26.60 | | | | | | | | | |
% 174.28/26.60 | | | | | | | | | | Case 1:
% 174.28/26.60 | | | | | | | | | | |
% 174.28/26.60 | | | | | | | | | | | (9726) ~ (all_20_2 = e2)
% 174.28/26.60 | | | | | | | | | | |
% 174.28/26.60 | | | | | | | | | | | BETA: splitting (89) gives:
% 174.28/26.60 | | | | | | | | | | |
% 174.28/26.60 | | | | | | | | | | | Case 1:
% 174.28/26.60 | | | | | | | | | | | |
% 174.28/26.60 | | | | | | | | | | | | (9727) ~ (all_28_2 = e3)
% 174.28/26.60 | | | | | | | | | | | |
% 174.28/26.60 | | | | | | | | | | | | REDUCE: (563), (9727) imply:
% 174.28/26.60 | | | | | | | | | | | | (9728) ~ (all_20_2 = e3)
% 174.28/26.60 | | | | | | | | | | | |
% 174.28/26.60 | | | | | | | | | | | | BETA: splitting (101) gives:
% 174.28/26.60 | | | | | | | | | | | |
% 174.28/26.60 | | | | | | | | | | | | Case 1:
% 174.28/26.60 | | | | | | | | | | | | |
% 174.28/26.60 | | | | | | | | | | | | | (9729) ~ (all_36_2 = e0)
% 174.28/26.60 | | | | | | | | | | | | |
% 174.28/26.60 | | | | | | | | | | | | | REDUCE: (557), (9729) imply:
% 174.28/26.60 | | | | | | | | | | | | | (9730) ~ (all_14_2 = e0)
% 174.28/26.60 | | | | | | | | | | | | |
% 174.28/26.60 | | | | | | | | | | | | | BETA: splitting (107) gives:
% 174.28/26.60 | | | | | | | | | | | | |
% 174.28/26.60 | | | | | | | | | | | | | Case 1:
% 174.28/26.60 | | | | | | | | | | | | | |
% 174.28/26.60 | | | | | | | | | | | | | | (9731) ~ (all_40_2 = e1)
% 174.28/26.60 | | | | | | | | | | | | | |
% 174.28/26.60 | | | | | | | | | | | | | | REDUCE: (553), (9731) imply:
% 174.28/26.60 | | | | | | | | | | | | | | (9732) ~ (all_14_2 = e1)
% 174.28/26.60 | | | | | | | | | | | | | |
% 174.28/26.60 | | | | | | | | | | | | | | REF_CLOSE: (10), (50), (67), (151), (159), (162), (165),
% 174.28/26.60 | | | | | | | | | | | | | | (166), (167), (168), (226), (230), (234), (235),
% 174.28/26.60 | | | | | | | | | | | | | | (236), (237), (271), (475), (478), (481), (484),
% 174.28/26.60 | | | | | | | | | | | | | | (534), (588), (599), (601), (603), (635), (636),
% 174.28/26.60 | | | | | | | | | | | | | | (637), (638), (642), (646), (650), (666), (682),
% 174.28/26.60 | | | | | | | | | | | | | | (698), (714), (715), (731), (732), (748), (749),
% 174.28/26.60 | | | | | | | | | | | | | | (765), (851), (9725), (9730), (9732) are
% 174.28/26.60 | | | | | | | | | | | | | | inconsistent by sub-proof #502.
% 174.28/26.60 | | | | | | | | | | | | | |
% 174.28/26.60 | | | | | | | | | | | | | Case 2:
% 174.28/26.60 | | | | | | | | | | | | | |
% 174.28/26.60 | | | | | | | | | | | | | | (9733) all_40_2 = e1
% 174.28/26.60 | | | | | | | | | | | | | | (9734) op(e3, e1) = all_40_1 & $i(all_40_1) & ( ~
% 174.28/26.60 | | | | | | | | | | | | | | (all_40_1 = e0) | ( ~ (all_40_0 = e2) & op(e0,
% 174.28/26.60 | | | | | | | | | | | | | | e3) = all_40_0 & $i(all_40_0)))
% 174.28/26.60 | | | | | | | | | | | | | |
% 174.28/26.60 | | | | | | | | | | | | | | ALPHA: (9734) implies:
% 174.28/26.60 | | | | | | | | | | | | | | (9735) op(e3, e1) = all_40_1
% 174.28/26.60 | | | | | | | | | | | | | | (9736) ~ (all_40_1 = e0) | ( ~ (all_40_0 = e2) & op(e0,
% 174.28/26.60 | | | | | | | | | | | | | | e3) = all_40_0 & $i(all_40_0))
% 174.28/26.60 | | | | | | | | | | | | | |
% 174.28/26.60 | | | | | | | | | | | | | | COMBINE_EQS: (553), (9733) imply:
% 174.28/26.60 | | | | | | | | | | | | | | (9737) all_14_2 = e1
% 174.28/26.60 | | | | | | | | | | | | | |
% 174.28/26.60 | | | | | | | | | | | | | | SIMP: (9737) implies:
% 174.28/26.60 | | | | | | | | | | | | | | (9738) all_14_2 = e1
% 174.28/26.60 | | | | | | | | | | | | | |
% 174.28/26.60 | | | | | | | | | | | | | | COMBINE_EQS: (466), (9738) imply:
% 174.28/26.60 | | | | | | | | | | | | | | (9739) all_48_2 = e1
% 174.28/26.60 | | | | | | | | | | | | | |
% 174.28/26.60 | | | | | | | | | | | | | | REDUCE: (601), (9738) imply:
% 174.28/26.60 | | | | | | | | | | | | | | (9740) ~ (all_61_8 = e1)
% 174.28/26.60 | | | | | | | | | | | | | |
% 174.28/26.60 | | | | | | | | | | | | | | REDUCE: (603), (9738) imply:
% 174.28/26.60 | | | | | | | | | | | | | | (9741) ~ (all_61_12 = e1)
% 174.28/26.60 | | | | | | | | | | | | | |
% 174.28/26.60 | | | | | | | | | | | | | | REDUCE: (634), (9738) imply:
% 174.28/26.60 | | | | | | | | | | | | | | (9742) op(e1, e3) = all_65_0
% 174.28/26.60 | | | | | | | | | | | | | |
% 174.28/26.60 | | | | | | | | | | | | | | REDUCE: (636), (9738) imply:
% 174.28/26.60 | | | | | | | | | | | | | | (9743) op(e1, e1) = all_65_2
% 174.28/26.60 | | | | | | | | | | | | | |
% 174.28/26.60 | | | | | | | | | | | | | | REDUCE: (637), (9738) imply:
% 174.28/26.60 | | | | | | | | | | | | | | (9744) op(e1, e0) = all_65_3
% 174.28/26.60 | | | | | | | | | | | | | |
% 174.28/26.60 | | | | | | | | | | | | | | REDUCE: (698), (9738) imply:
% 174.28/26.60 | | | | | | | | | | | | | | (9745) op(e3, e1) = all_65_0
% 174.28/26.60 | | | | | | | | | | | | | |
% 174.28/26.60 | | | | | | | | | | | | | | REDUCE: (67), (9738) imply:
% 174.28/26.60 | | | | | | | | | | | | | | (9746) op(e3, e3) = e1
% 174.28/26.60 | | | | | | | | | | | | | |
% 174.28/26.60 | | | | | | | | | | | | | | REDUCE: (715), (9738) imply:
% 174.28/26.60 | | | | | | | | | | | | | | (9747) op(e2, e1) = all_65_16
% 174.28/26.60 | | | | | | | | | | | | | |
% 174.28/26.60 | | | | | | | | | | | | | | REDUCE: (732), (9738) imply:
% 174.28/26.60 | | | | | | | | | | | | | | (9748) op(e1, e1) = all_65_32
% 174.28/26.60 | | | | | | | | | | | | | |
% 174.28/26.60 | | | | | | | | | | | | | | REDUCE: (749), (9738) imply:
% 174.28/26.60 | | | | | | | | | | | | | | (9749) op(e0, e1) = all_65_49
% 174.28/26.60 | | | | | | | | | | | | | |
% 174.28/26.60 | | | | | | | | | | | | | | BETA: splitting (119) gives:
% 174.28/26.60 | | | | | | | | | | | | | |
% 174.28/26.60 | | | | | | | | | | | | | | Case 1:
% 174.28/26.60 | | | | | | | | | | | | | | |
% 174.28/26.60 | | | | | | | | | | | | | | | (9750) ~ (all_48_2 = e1)
% 174.28/26.60 | | | | | | | | | | | | | | |
% 174.28/26.60 | | | | | | | | | | | | | | | REDUCE: (9739), (9750) imply:
% 174.28/26.60 | | | | | | | | | | | | | | | (9751) $false
% 174.28/26.60 | | | | | | | | | | | | | | |
% 174.28/26.60 | | | | | | | | | | | | | | | CLOSE: (9751) is inconsistent.
% 174.28/26.60 | | | | | | | | | | | | | | |
% 174.28/26.60 | | | | | | | | | | | | | | Case 2:
% 174.28/26.60 | | | | | | | | | | | | | | |
% 174.28/26.60 | | | | | | | | | | | | | | | (9752) op(e3, e1) = all_48_1 & $i(all_48_1) & ( ~
% 174.28/26.60 | | | | | | | | | | | | | | | (all_48_1 = e2) | ( ~ (all_48_0 = e0) & op(e2,
% 174.28/26.60 | | | | | | | | | | | | | | | e3) = all_48_0 & $i(all_48_0)))
% 174.28/26.60 | | | | | | | | | | | | | | |
% 174.28/26.60 | | | | | | | | | | | | | | | ALPHA: (9752) implies:
% 174.28/26.60 | | | | | | | | | | | | | | | (9753) op(e3, e1) = all_48_1
% 174.28/26.60 | | | | | | | | | | | | | | |
% 174.28/26.60 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_11, all_65_49, e1,
% 174.28/26.60 | | | | | | | | | | | | | | | e0, simplifying with (224), (9749) gives:
% 174.28/26.60 | | | | | | | | | | | | | | | (9754) all_65_49 = all_61_11
% 174.28/26.60 | | | | | | | | | | | | | | |
% 174.28/26.60 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_14, all_65_3, e0,
% 174.28/26.60 | | | | | | | | | | | | | | | e1, simplifying with (227), (9744) gives:
% 174.28/26.60 | | | | | | | | | | | | | | | (9755) all_65_3 = all_61_14
% 174.28/26.60 | | | | | | | | | | | | | | |
% 174.28/26.60 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e2, all_65_2, e1, e1,
% 174.28/26.60 | | | | | | | | | | | | | | | simplifying with (5784), (9743) gives:
% 174.28/26.60 | | | | | | | | | | | | | | | (9756) all_65_2 = e2
% 174.28/26.60 | | | | | | | | | | | | | | |
% 174.28/26.60 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_32, all_65_2, e1,
% 174.28/26.60 | | | | | | | | | | | | | | | e1, simplifying with (9743), (9748) gives:
% 174.28/26.60 | | | | | | | | | | | | | | | (9757) all_65_2 = all_65_32
% 174.28/26.60 | | | | | | | | | | | | | | |
% 174.28/26.60 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_2, all_65_0, e3,
% 174.28/26.60 | | | | | | | | | | | | | | | e1, simplifying with (230), (9742) gives:
% 174.28/26.60 | | | | | | | | | | | | | | | (9758) all_65_0 = all_61_2
% 174.28/26.60 | | | | | | | | | | | | | | |
% 174.28/26.60 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_10_1, all_65_16, e1,
% 174.28/26.60 | | | | | | | | | | | | | | | e2, simplifying with (5838), (9747) gives:
% 174.28/26.60 | | | | | | | | | | | | | | | (9759) all_65_16 = all_10_1
% 174.28/26.60 | | | | | | | | | | | | | | |
% 174.28/26.60 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_8, all_48_1, e1,
% 174.28/26.60 | | | | | | | | | | | | | | | e3, simplifying with (236), (9753) gives:
% 174.28/26.60 | | | | | | | | | | | | | | | (9760) all_61_8 = all_48_1
% 174.28/26.60 | | | | | | | | | | | | | | |
% 174.28/26.60 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_8, all_65_0, e1,
% 174.28/26.60 | | | | | | | | | | | | | | | e3, simplifying with (236), (9745) gives:
% 174.28/26.60 | | | | | | | | | | | | | | | (9761) all_65_0 = all_61_8
% 174.28/26.60 | | | | | | | | | | | | | | |
% 174.28/26.60 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_40_1, all_65_0, e1,
% 174.28/26.60 | | | | | | | | | | | | | | | e3, simplifying with (9735), (9745) gives:
% 174.28/26.60 | | | | | | | | | | | | | | | (9762) all_65_0 = all_40_1
% 174.28/26.60 | | | | | | | | | | | | | | |
% 174.28/26.60 | | | | | | | | | | | | | | | COMBINE_EQS: (9761), (9762) imply:
% 174.28/26.60 | | | | | | | | | | | | | | | (9763) all_61_8 = all_40_1
% 174.28/26.60 | | | | | | | | | | | | | | |
% 174.28/26.60 | | | | | | | | | | | | | | | SIMP: (9763) implies:
% 174.28/26.60 | | | | | | | | | | | | | | | (9764) all_61_8 = all_40_1
% 174.28/26.60 | | | | | | | | | | | | | | |
% 174.28/26.60 | | | | | | | | | | | | | | | COMBINE_EQS: (9758), (9762) imply:
% 174.28/26.60 | | | | | | | | | | | | | | | (9765) all_61_2 = all_40_1
% 174.28/26.60 | | | | | | | | | | | | | | |
% 174.28/26.60 | | | | | | | | | | | | | | | SIMP: (9765) implies:
% 174.28/26.60 | | | | | | | | | | | | | | | (9766) all_61_2 = all_40_1
% 174.28/26.60 | | | | | | | | | | | | | | |
% 174.28/26.60 | | | | | | | | | | | | | | | COMBINE_EQS: (9756), (9757) imply:
% 174.28/26.60 | | | | | | | | | | | | | | | (9767) all_65_32 = e2
% 174.28/26.60 | | | | | | | | | | | | | | |
% 174.28/26.60 | | | | | | | | | | | | | | | COMBINE_EQS: (9760), (9764) imply:
% 174.28/26.60 | | | | | | | | | | | | | | | (9768) all_48_1 = all_40_1
% 174.28/26.60 | | | | | | | | | | | | | | |
% 174.28/26.60 | | | | | | | | | | | | | | | COMBINE_EQS: (499), (9766) imply:
% 174.28/26.60 | | | | | | | | | | | | | | | (9769) all_63_8 = all_40_1
% 174.28/26.60 | | | | | | | | | | | | | | |
% 174.28/26.60 | | | | | | | | | | | | | | | REDUCE: (216), (9766) imply:
% 174.28/26.60 | | | | | | | | | | | | | | | (9770) ~ (all_61_1 = all_40_1)
% 174.28/26.60 | | | | | | | | | | | | | | |
% 174.28/26.60 | | | | | | | | | | | | | | | REDUCE: (188), (9764) imply:
% 174.28/26.60 | | | | | | | | | | | | | | | (9771) ~ (all_61_11 = all_40_1)
% 174.28/26.60 | | | | | | | | | | | | | | |
% 174.28/26.60 | | | | | | | | | | | | | | | SIMP: (9771) implies:
% 174.28/26.60 | | | | | | | | | | | | | | | (9772) ~ (all_61_11 = all_40_1)
% 174.28/26.60 | | | | | | | | | | | | | | |
% 174.28/26.60 | | | | | | | | | | | | | | | REDUCE: (187), (9764) imply:
% 174.28/26.60 | | | | | | | | | | | | | | | (9773) ~ (all_61_12 = all_40_1)
% 174.28/26.60 | | | | | | | | | | | | | | |
% 174.28/26.60 | | | | | | | | | | | | | | | SIMP: (9773) implies:
% 174.28/26.60 | | | | | | | | | | | | | | | (9774) ~ (all_61_12 = all_40_1)
% 174.28/26.60 | | | | | | | | | | | | | | |
% 174.28/26.60 | | | | | | | | | | | | | | | REDUCE: (5817), (9764) imply:
% 174.28/26.60 | | | | | | | | | | | | | | | (9775) ~ (all_40_1 = all_10_1)
% 174.28/26.60 | | | | | | | | | | | | | | |
% 174.28/26.60 | | | | | | | | | | | | | | | REDUCE: (5773), (9764) imply:
% 174.28/26.60 | | | | | | | | | | | | | | | (9776) ~ (all_40_1 = e2)
% 174.28/26.60 | | | | | | | | | | | | | | |
% 174.28/26.60 | | | | | | | | | | | | | | | REDUCE: (9740), (9764) imply:
% 174.28/26.60 | | | | | | | | | | | | | | | (9777) ~ (all_40_1 = e1)
% 174.28/26.60 | | | | | | | | | | | | | | |
% 174.28/26.60 | | | | | | | | | | | | | | | REDUCE: (668), (9766) imply:
% 174.28/26.60 | | | | | | | | | | | | | | | (9778) op(all_40_1, e1) = all_65_34
% 174.28/26.60 | | | | | | | | | | | | | | |
% 174.28/26.60 | | | | | | | | | | | | | | | REDUCE: (682), (9754) imply:
% 174.28/26.60 | | | | | | | | | | | | | | | (9779) op(all_61_3, e3) = all_61_11
% 174.28/26.60 | | | | | | | | | | | | | | |
% 174.28/26.60 | | | | | | | | | | | | | | | REDUCE: (9719), (9764) imply:
% 174.28/26.60 | | | | | | | | | | | | | | | (9780) op(all_61_4, e2) = all_40_1
% 174.28/26.60 | | | | | | | | | | | | | | |
% 174.28/26.60 | | | | | | | | | | | | | | | REDUCE: (5828), (9764) imply:
% 174.28/26.60 | | | | | | | | | | | | | | | (9781) op(all_40_1, e1) = all_61_4
% 174.28/26.60 | | | | | | | | | | | | | | |
% 174.28/26.60 | | | | | | | | | | | | | | | REDUCE: (5839), (9766) imply:
% 174.28/26.60 | | | | | | | | | | | | | | | (9782) op(e1, all_40_1) = all_61_1
% 174.28/26.60 | | | | | | | | | | | | | | |
% 174.28/26.60 | | | | | | | | | | | | | | | REDUCE: (734), (9764) imply:
% 174.28/26.60 | | | | | | | | | | | | | | | (9783) op(e1, all_40_1) = all_65_34
% 174.28/26.60 | | | | | | | | | | | | | | |
% 174.28/26.60 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_1, all_65_34,
% 174.28/26.60 | | | | | | | | | | | | | | | all_40_1, e1, simplifying with (9782), (9783)
% 174.28/26.60 | | | | | | | | | | | | | | | gives:
% 174.28/26.60 | | | | | | | | | | | | | | | (9784) all_65_34 = all_61_1
% 174.28/26.60 | | | | | | | | | | | | | | |
% 174.28/26.60 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_4, all_65_34, e1,
% 174.28/26.60 | | | | | | | | | | | | | | | all_40_1, simplifying with (9778), (9781) gives:
% 174.28/26.60 | | | | | | | | | | | | | | | (9785) all_65_34 = all_61_4
% 174.28/26.60 | | | | | | | | | | | | | | |
% 174.28/26.60 | | | | | | | | | | | | | | | COMBINE_EQS: (9784), (9785) imply:
% 174.28/26.60 | | | | | | | | | | | | | | | (9786) all_61_1 = all_61_4
% 174.28/26.60 | | | | | | | | | | | | | | |
% 174.28/26.60 | | | | | | | | | | | | | | | SIMP: (9786) implies:
% 174.28/26.61 | | | | | | | | | | | | | | | (9787) all_61_1 = all_61_4
% 174.28/26.61 | | | | | | | | | | | | | | |
% 174.28/26.61 | | | | | | | | | | | | | | | REDUCE: (212), (9787) imply:
% 174.28/26.61 | | | | | | | | | | | | | | | (9788) ~ (all_61_4 = all_61_13)
% 174.28/26.61 | | | | | | | | | | | | | | |
% 174.28/26.61 | | | | | | | | | | | | | | | REDUCE: (9770), (9787) imply:
% 174.28/26.61 | | | | | | | | | | | | | | | (9789) ~ (all_61_4 = all_40_1)
% 174.28/26.61 | | | | | | | | | | | | | | |
% 174.28/26.61 | | | | | | | | | | | | | | | REDUCE: (651), (9787) imply:
% 174.28/26.61 | | | | | | | | | | | | | | | (9790) op(all_61_4, e2) = all_65_17
% 174.28/26.61 | | | | | | | | | | | | | | |
% 174.28/26.61 | | | | | | | | | | | | | | | REDUCE: (753), (9787) imply:
% 174.28/26.61 | | | | | | | | | | | | | | | (9791) op(e0, all_61_4) = all_65_57
% 174.28/26.61 | | | | | | | | | | | | | | |
% 174.28/26.61 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_51, all_65_57,
% 174.28/26.61 | | | | | | | | | | | | | | | all_61_4, e0, simplifying with (750), (9791)
% 174.28/26.61 | | | | | | | | | | | | | | | gives:
% 174.28/26.61 | | | | | | | | | | | | | | | (9792) all_65_51 = all_65_57
% 174.28/26.61 | | | | | | | | | | | | | | |
% 174.28/26.61 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_40_1, all_65_17, e2,
% 174.28/26.61 | | | | | | | | | | | | | | | all_61_4, simplifying with (9780), (9790) gives:
% 174.28/26.61 | | | | | | | | | | | | | | | (9793) all_65_17 = all_40_1
% 174.28/26.61 | | | | | | | | | | | | | | |
% 174.28/26.61 | | | | | | | | | | | | | | | REDUCE: (683), (9792) imply:
% 174.28/26.61 | | | | | | | | | | | | | | | (9794) op(all_61_3, e2) = all_65_57
% 174.28/26.61 | | | | | | | | | | | | | | |
% 174.28/26.61 | | | | | | | | | | | | | | | BETA: splitting (110) gives:
% 174.28/26.61 | | | | | | | | | | | | | | |
% 174.28/26.61 | | | | | | | | | | | | | | | Case 1:
% 174.28/26.61 | | | | | | | | | | | | | | | |
% 174.28/26.61 | | | | | | | | | | | | | | | | (9795) ~ (all_42_2 = e1)
% 174.28/26.61 | | | | | | | | | | | | | | | |
% 174.28/26.61 | | | | | | | | | | | | | | | | REDUCE: (532), (9795) imply:
% 174.28/26.61 | | | | | | | | | | | | | | | | (9796) ~ (all_20_2 = e1)
% 174.28/26.61 | | | | | | | | | | | | | | | |
% 174.28/26.61 | | | | | | | | | | | | | | | | BETA: splitting (256) gives:
% 174.28/26.61 | | | | | | | | | | | | | | | |
% 174.28/26.61 | | | | | | | | | | | | | | | | Case 1:
% 174.28/26.61 | | | | | | | | | | | | | | | | |
% 174.28/26.61 | | | | | | | | | | | | | | | | | (9797) all_63_15 = e3
% 174.28/26.61 | | | | | | | | | | | | | | | | |
% 174.28/26.61 | | | | | | | | | | | | | | | | | REF_CLOSE: (422), (9728), (9797) are inconsistent by
% 174.28/26.61 | | | | | | | | | | | | | | | | | sub-proof #501.
% 174.28/26.61 | | | | | | | | | | | | | | | | |
% 174.28/26.61 | | | | | | | | | | | | | | | | Case 2:
% 174.28/26.61 | | | | | | | | | | | | | | | | |
% 174.28/26.61 | | | | | | | | | | | | | | | | | (9798) all_63_15 = e2 | all_63_15 = e1 | all_63_15 = e0
% 174.28/26.61 | | | | | | | | | | | | | | | | |
% 174.28/26.61 | | | | | | | | | | | | | | | | | BETA: splitting (9798) gives:
% 174.28/26.61 | | | | | | | | | | | | | | | | |
% 174.28/26.61 | | | | | | | | | | | | | | | | | Case 1:
% 174.28/26.61 | | | | | | | | | | | | | | | | | |
% 174.28/26.61 | | | | | | | | | | | | | | | | | | (9799) all_63_15 = e2
% 174.28/26.61 | | | | | | | | | | | | | | | | | |
% 174.28/26.61 | | | | | | | | | | | | | | | | | | REF_CLOSE: (422), (9726), (9799) are inconsistent by
% 174.28/26.61 | | | | | | | | | | | | | | | | | | sub-proof #500.
% 174.28/26.61 | | | | | | | | | | | | | | | | | |
% 174.28/26.61 | | | | | | | | | | | | | | | | | Case 2:
% 174.28/26.61 | | | | | | | | | | | | | | | | | |
% 174.28/26.61 | | | | | | | | | | | | | | | | | | (9800) all_63_15 = e1 | all_63_15 = e0
% 174.28/26.61 | | | | | | | | | | | | | | | | | |
% 174.28/26.61 | | | | | | | | | | | | | | | | | | BETA: splitting (9800) gives:
% 174.28/26.61 | | | | | | | | | | | | | | | | | |
% 174.28/26.61 | | | | | | | | | | | | | | | | | | Case 1:
% 174.28/26.61 | | | | | | | | | | | | | | | | | | |
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | (9801) all_63_15 = e1
% 174.28/26.61 | | | | | | | | | | | | | | | | | | |
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (422), (9796), (9801) are inconsistent by
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | sub-proof #499.
% 174.28/26.61 | | | | | | | | | | | | | | | | | | |
% 174.28/26.61 | | | | | | | | | | | | | | | | | | Case 2:
% 174.28/26.61 | | | | | | | | | | | | | | | | | | |
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | (9802) all_63_15 = e0
% 174.28/26.61 | | | | | | | | | | | | | | | | | | |
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (422), (9802) imply:
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | (9803) all_20_2 = e0
% 174.28/26.61 | | | | | | | | | | | | | | | | | | |
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | SIMP: (9803) implies:
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | (9804) all_20_2 = e0
% 174.28/26.61 | | | | | | | | | | | | | | | | | | |
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | REDUCE: (625), (9804) imply:
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | (9805) ~ (all_61_12 = e0)
% 174.28/26.61 | | | | | | | | | | | | | | | | | | |
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | REDUCE: (626), (9804) imply:
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | (9806) ~ (all_61_13 = e0)
% 174.28/26.61 | | | | | | | | | | | | | | | | | | |
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | REDUCE: (627), (9804) imply:
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | (9807) ~ (all_61_14 = e0)
% 174.28/26.61 | | | | | | | | | | | | | | | | | | |
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | REDUCE: (694), (9804) imply:
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | (9808) op(e0, e3) = all_65_73
% 174.28/26.61 | | | | | | | | | | | | | | | | | | |
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | REDUCE: (696), (9804) imply:
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | (9809) op(e0, e1) = all_65_77
% 174.28/26.61 | | | | | | | | | | | | | | | | | | |
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | REDUCE: (713), (9804) imply:
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | (9810) op(e3, e0) = all_65_15
% 174.28/26.61 | | | | | | | | | | | | | | | | | | |
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | REDUCE: (730), (9804) imply:
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | (9811) op(e2, e0) = all_65_31
% 174.28/26.61 | | | | | | | | | | | | | | | | | | |
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | REDUCE: (747), (9804) imply:
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | (9812) op(e1, e0) = all_65_47
% 174.28/26.61 | | | | | | | | | | | | | | | | | | |
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_11, all_65_77, e1,
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | e0, simplifying with (224), (9809) gives:
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | (9813) all_65_77 = all_61_11
% 174.28/26.61 | | | | | | | | | | | | | | | | | | |
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_3, all_65_73, e3,
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | e0, simplifying with (226), (9808) gives:
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | (9814) all_65_73 = all_61_3
% 174.28/26.61 | | | | | | | | | | | | | | | | | | |
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_14, all_65_47, e0,
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | e1, simplifying with (227), (9812) gives:
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | (9815) all_65_47 = all_61_14
% 174.28/26.61 | | | | | | | | | | | | | | | | | | |
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_13, all_65_31, e0,
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | e2, simplifying with (231), (9811) gives:
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | (9816) all_65_31 = all_61_13
% 174.28/26.61 | | | | | | | | | | | | | | | | | | |
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_12, all_65_15, e0,
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | e3, simplifying with (235), (9810) gives:
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | (9817) all_65_15 = all_61_12
% 174.28/26.61 | | | | | | | | | | | | | | | | | | |
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | BETA: splitting (162) gives:
% 174.28/26.61 | | | | | | | | | | | | | | | | | | |
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | Case 1:
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | |
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | (9818) ~ (all_58_2 = e3)
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | |
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | REDUCE: (478), (9818) imply:
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | (9819) ~ (all_52_2 = e3)
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | |
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | BETA: splitting (160) gives:
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | |
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | (9820) ~ (all_58_2 = e0)
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | REDUCE: (478), (9820) imply:
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | (9821) ~ (all_52_2 = e0)
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (164) gives:
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | | (9822) ~ (all_58_1 = e1)
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (481), (9822) imply:
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | | (9823) ~ (all_52_1 = e1)
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (50), (149), (161), (478), (481), (538),
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | | (748), (5784), (9698), (9819), (9821), (9823) are
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #227.
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | | (9824) all_58_2 = e2
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | | (9825) all_58_1 = e1
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (481), (9825) imply:
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | | (9826) all_52_1 = e1
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | | SIMP: (9826) implies:
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | | (9827) all_52_1 = e1
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (478), (9824) imply:
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | | (9828) all_52_2 = e2
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | | SIMP: (9828) implies:
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | | (9829) all_52_2 = e2
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (632), (9827) imply:
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | | (9830) ~ (all_52_3 = e1)
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | | SIMP: (9830) implies:
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | | (9831) ~ (all_52_3 = e1)
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (633), (9829) imply:
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | | (9832) ~ (all_52_3 = e2)
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | | SIMP: (9832) implies:
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | | (9833) ~ (all_52_3 = e2)
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (731), (9827) imply:
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | | (9834) op(e2, e1) = unit
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_10_1, unit, e1, e2,
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | | simplifying with (5838), (9834) gives:
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | | (9835) all_10_1 = unit
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5812), (9835) imply:
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | | (9836) ~ (all_61_4 = unit)
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5819), (9835) imply:
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | | (9837) ~ (all_61_11 = unit)
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9775), (9835) imply:
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | | (9838) ~ (all_40_1 = unit)
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5823), (9835) imply:
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | | (9839) ~ (unit = e2)
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9691), (9835) imply:
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | | (9840) ~ (unit = e1)
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (852) gives:
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | | | (9841) unit = e2
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9839), (9841) imply:
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | | | (9842) $false
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (9842) is inconsistent.
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | | | (9843) unit = e1 | unit = e0
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9843) gives:
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | | | | (9844) unit = e1
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9840), (9844) imply:
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | | | | (9845) $false
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (9845) is inconsistent.
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | | | | (9846) unit = e0
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9836), (9846) imply:
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | | | | (9847) ~ (all_61_4 = e0)
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9837), (9846) imply:
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | | | | (9848) ~ (all_61_11 = e0)
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9838), (9846) imply:
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | | | | (9849) ~ (all_40_1 = e0)
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3), (9846) imply:
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | | | | (9850) op(e0, e0) = e0
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (263) gives:
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | (9851) all_63_8 = e3
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9769), (9851) imply:
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | (9852) all_40_1 = e3
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9789), (9852) imply:
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | (9853) ~ (all_61_4 = e3)
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (270) gives:
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | (9854) all_63_1 = e3
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (488), (9854) imply:
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | (9855) all_61_4 = e3
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9853), (9855) imply:
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | (9856) $false
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (9856) is inconsistent.
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | (9857) all_63_1 = e2 | all_63_1 = e1 | all_63_1 = e0
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9857) gives:
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9858) all_63_1 = e2
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (488), (9858) imply:
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9859) all_61_4 = e2
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9788), (9859) imply:
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9860) ~ (all_61_13 = e2)
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9860) implies:
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9861) ~ (all_61_13 = e2)
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (50), (148), (159), (200), (206), (226),
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | (231), (235), (257), (263), (265), (268), (270),
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | (475), (484), (488), (491), (510), (539), (714),
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | (765), (851), (5809), (5812), (5819), (5823),
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9688), (9736), (9741), (9769), (9772), (9774),
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9775), (9777), (9789), (9791), (9794), (9805),
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9831), (9833), (9848), (9850), (9861) are
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #285.
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9862) all_63_1 = e1 | all_63_1 = e0
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (488), (9688), (9847), (9862) are inconsistent by
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #486.
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | (9863) all_63_8 = e2 | all_63_8 = e1 | all_63_8 = e0
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9769), (9776), (9777), (9849), (9863) are
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #487.
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | End of split
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | (9864) all_58_3 = e1
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | (9865) all_58_2 = e0
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (478), (9865) imply:
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | (9866) all_52_2 = e0
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (475), (9864) imply:
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | (9867) all_52_3 = e1
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | SIMP: (9867) implies:
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | (9868) all_52_3 = e1
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | REDUCE: (748), (9866) imply:
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | (9869) op(e1, e0) = unit
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | REDUCE: (765), (9868) imply:
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | (9870) op(e0, e1) = unit
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (50), (224), (227), (693), (852), (5776),
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | (9807), (9869), (9870) are inconsistent by
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | sub-proof #226.
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | End of split
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | |
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | Case 2:
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | |
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | (9871) all_58_0 = e1
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | |
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (484), (9871) imply:
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | (9872) all_52_0 = e1
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | |
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | SIMP: (9872) implies:
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | (9873) all_52_0 = e1
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | |
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | REDUCE: (714), (9873) imply:
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | (9874) op(e3, e1) = unit
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | |
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_40_1, unit, e1, e3,
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | simplifying with (9735), (9874) gives:
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | (9875) all_40_1 = unit
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | |
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | REDUCE: (9789), (9875) imply:
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | (9876) ~ (all_61_4 = unit)
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | |
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | REDUCE: (9775), (9875) imply:
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | (9877) ~ (all_10_1 = unit)
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | |
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | SIMP: (9877) implies:
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | (9878) ~ (all_10_1 = unit)
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | |
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | REDUCE: (9776), (9875) imply:
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | (9879) ~ (unit = e2)
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | |
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | REDUCE: (9777), (9875) imply:
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | (9880) ~ (unit = e1)
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | |
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | BETA: splitting (852) gives:
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | |
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | (9881) unit = e2
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | REDUCE: (9879), (9881) imply:
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | (9882) $false
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | CLOSE: (9882) is inconsistent.
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | (9883) unit = e1 | unit = e0
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9883) gives:
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | | (9884) unit = e1
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9880), (9884) imply:
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | | (9885) $false
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (9885) is inconsistent.
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | | (9886) unit = e0
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9876), (9886) imply:
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | | (9887) ~ (all_61_4 = e0)
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9878), (9886) imply:
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | | (9888) ~ (all_10_1 = e0)
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (264), (265), (270), (488), (498), (5809), (5812),
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | | (5821), (5823), (9688), (9690), (9691), (9788),
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | | (9806), (9887), (9888) are inconsistent by
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | | sub-proof #225.
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | | End of split
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | | End of split
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | |
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | End of split
% 174.28/26.61 | | | | | | | | | | | | | | | | | | |
% 174.28/26.61 | | | | | | | | | | | | | | | | | | End of split
% 174.28/26.61 | | | | | | | | | | | | | | | | | |
% 174.28/26.61 | | | | | | | | | | | | | | | | | End of split
% 174.28/26.61 | | | | | | | | | | | | | | | | |
% 174.28/26.61 | | | | | | | | | | | | | | | | End of split
% 174.28/26.61 | | | | | | | | | | | | | | | |
% 174.28/26.61 | | | | | | | | | | | | | | | Case 2:
% 174.28/26.61 | | | | | | | | | | | | | | | |
% 174.28/26.61 | | | | | | | | | | | | | | | | (9889) all_42_2 = e1
% 174.28/26.61 | | | | | | | | | | | | | | | | (9890) op(e0, e1) = all_42_1 & $i(all_42_1) & ( ~
% 174.28/26.61 | | | | | | | | | | | | | | | | (all_42_1 = e3) | ( ~ (all_42_0 = e2) & op(e3,
% 174.28/26.61 | | | | | | | | | | | | | | | | e0) = all_42_0 & $i(all_42_0)))
% 174.28/26.61 | | | | | | | | | | | | | | | |
% 174.28/26.61 | | | | | | | | | | | | | | | | ALPHA: (9890) implies:
% 174.28/26.61 | | | | | | | | | | | | | | | | (9891) op(e0, e1) = all_42_1
% 174.28/26.61 | | | | | | | | | | | | | | | |
% 174.28/26.61 | | | | | | | | | | | | | | | | COMBINE_EQS: (532), (9889) imply:
% 174.28/26.61 | | | | | | | | | | | | | | | | (9892) all_20_2 = e1
% 174.28/26.61 | | | | | | | | | | | | | | | |
% 174.28/26.61 | | | | | | | | | | | | | | | | COMBINE_EQS: (582), (9892) imply:
% 174.28/26.61 | | | | | | | | | | | | | | | | (9893) all_50_2 = e1
% 174.28/26.61 | | | | | | | | | | | | | | | |
% 174.28/26.61 | | | | | | | | | | | | | | | | REDUCE: (696), (9892) imply:
% 174.28/26.61 | | | | | | | | | | | | | | | | (9894) op(e1, e1) = all_65_77
% 174.28/26.61 | | | | | | | | | | | | | | | |
% 174.28/26.61 | | | | | | | | | | | | | | | | REDUCE: (697), (9892) imply:
% 174.28/26.61 | | | | | | | | | | | | | | | | (9895) op(e1, e0) = all_65_78
% 174.28/26.61 | | | | | | | | | | | | | | | |
% 174.28/26.61 | | | | | | | | | | | | | | | | REDUCE: (713), (9892) imply:
% 174.28/26.61 | | | | | | | | | | | | | | | | (9896) op(e3, e1) = all_65_15
% 174.28/26.61 | | | | | | | | | | | | | | | |
% 174.28/26.61 | | | | | | | | | | | | | | | | REDUCE: (747), (9892) imply:
% 174.28/26.61 | | | | | | | | | | | | | | | | (9897) op(e1, e1) = all_65_47
% 174.28/26.61 | | | | | | | | | | | | | | | |
% 174.28/26.61 | | | | | | | | | | | | | | | | REDUCE: (764), (9892) imply:
% 174.28/26.61 | | | | | | | | | | | | | | | | (9898) op(e0, e1) = all_65_78
% 174.28/26.61 | | | | | | | | | | | | | | | |
% 174.28/26.61 | | | | | | | | | | | | | | | | REDUCE: (76), (9892) imply:
% 174.28/26.61 | | | | | | | | | | | | | | | | (9899) op(e0, e0) = e1
% 174.28/26.61 | | | | | | | | | | | | | | | |
% 174.28/26.61 | | | | | | | | | | | | | | | | BETA: splitting (122) gives:
% 174.28/26.61 | | | | | | | | | | | | | | | |
% 174.28/26.61 | | | | | | | | | | | | | | | | Case 1:
% 174.28/26.61 | | | | | | | | | | | | | | | | |
% 174.28/26.61 | | | | | | | | | | | | | | | | | (9900) ~ (all_50_2 = e1)
% 174.28/26.61 | | | | | | | | | | | | | | | | |
% 174.28/26.61 | | | | | | | | | | | | | | | | | REDUCE: (9893), (9900) imply:
% 174.28/26.61 | | | | | | | | | | | | | | | | | (9901) $false
% 174.28/26.61 | | | | | | | | | | | | | | | | |
% 174.28/26.61 | | | | | | | | | | | | | | | | | CLOSE: (9901) is inconsistent.
% 174.28/26.61 | | | | | | | | | | | | | | | | |
% 174.28/26.61 | | | | | | | | | | | | | | | | Case 2:
% 174.28/26.61 | | | | | | | | | | | | | | | | |
% 174.28/26.61 | | | | | | | | | | | | | | | | | (9902) op(e0, e1) = all_50_1 & $i(all_50_1) & ( ~
% 174.28/26.61 | | | | | | | | | | | | | | | | | (all_50_1 = e2) | ( ~ (all_50_0 = e3) & op(e2,
% 174.28/26.61 | | | | | | | | | | | | | | | | | e0) = all_50_0 & $i(all_50_0)))
% 174.28/26.61 | | | | | | | | | | | | | | | | |
% 174.28/26.61 | | | | | | | | | | | | | | | | | ALPHA: (9902) implies:
% 174.28/26.61 | | | | | | | | | | | | | | | | | (9903) op(e0, e1) = all_50_1
% 174.28/26.61 | | | | | | | | | | | | | | | | |
% 174.28/26.61 | | | | | | | | | | | | | | | | | BETA: splitting (171) gives:
% 174.28/26.61 | | | | | | | | | | | | | | | | |
% 174.28/26.61 | | | | | | | | | | | | | | | | | Case 1:
% 174.28/26.61 | | | | | | | | | | | | | | | | | |
% 174.28/26.61 | | | | | | | | | | | | | | | | | | (9904) ( ~ (all_60_0 = e1) & op(e3, e3) = all_60_0 &
% 174.28/26.61 | | | | | | | | | | | | | | | | | | $i(all_60_0)) | ( ~ (all_60_1 = e1) & op(e2, e2)
% 174.28/26.61 | | | | | | | | | | | | | | | | | | = all_60_1 & $i(all_60_1))
% 174.28/26.61 | | | | | | | | | | | | | | | | | |
% 174.28/26.61 | | | | | | | | | | | | | | | | | | BETA: splitting (9904) gives:
% 174.28/26.61 | | | | | | | | | | | | | | | | | |
% 174.28/26.61 | | | | | | | | | | | | | | | | | | Case 1:
% 174.28/26.61 | | | | | | | | | | | | | | | | | | |
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | (9905) ~ (all_60_0 = e1) & op(e3, e3) = all_60_0 &
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | $i(all_60_0)
% 174.28/26.61 | | | | | | | | | | | | | | | | | | |
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (50), (9746), (9905) are inconsistent by sub-proof
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | #334.
% 174.28/26.61 | | | | | | | | | | | | | | | | | | |
% 174.28/26.61 | | | | | | | | | | | | | | | | | | Case 2:
% 174.28/26.61 | | | | | | | | | | | | | | | | | | |
% 174.28/26.61 | | | | | | | | | | | | | | | | | | | (9906) ~ (all_60_1 = e1) & op(e2, e2) = all_60_1 &
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | $i(all_60_1)
% 174.28/26.62 | | | | | | | | | | | | | | | | | | |
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (50), (9698), (9906) are inconsistent by sub-proof
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | #333.
% 174.28/26.62 | | | | | | | | | | | | | | | | | | |
% 174.28/26.62 | | | | | | | | | | | | | | | | | | End of split
% 174.28/26.62 | | | | | | | | | | | | | | | | | |
% 174.28/26.62 | | | | | | | | | | | | | | | | | Case 2:
% 174.28/26.62 | | | | | | | | | | | | | | | | | |
% 174.28/26.62 | | | | | | | | | | | | | | | | | | (9907) ( ~ (all_60_2 = e1) & op(e1, e1) = all_60_2 &
% 174.28/26.62 | | | | | | | | | | | | | | | | | | $i(all_60_2)) | ( ~ (all_60_3 = e1) & op(e0, e0)
% 174.28/26.62 | | | | | | | | | | | | | | | | | | = all_60_3 & $i(all_60_3))
% 174.28/26.62 | | | | | | | | | | | | | | | | | |
% 174.28/26.62 | | | | | | | | | | | | | | | | | | BETA: splitting (9907) gives:
% 174.28/26.62 | | | | | | | | | | | | | | | | | |
% 174.28/26.62 | | | | | | | | | | | | | | | | | | Case 1:
% 174.28/26.62 | | | | | | | | | | | | | | | | | | |
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | (9908) ~ (all_60_2 = e1) & op(e1, e1) = all_60_2 &
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | $i(all_60_2)
% 174.28/26.62 | | | | | | | | | | | | | | | | | | |
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | ALPHA: (9908) implies:
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | (9909) ~ (all_60_2 = e1)
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | (9910) op(e1, e1) = all_60_2
% 174.28/26.62 | | | | | | | | | | | | | | | | | | |
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_11, all_65_78, e1,
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | e0, simplifying with (224), (9898) gives:
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | (9911) all_65_78 = all_61_11
% 174.28/26.62 | | | | | | | | | | | | | | | | | | |
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_50_1, all_65_78, e1,
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | e0, simplifying with (9898), (9903) gives:
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | (9912) all_65_78 = all_50_1
% 174.28/26.62 | | | | | | | | | | | | | | | | | | |
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_42_1, all_65_78, e1,
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | e0, simplifying with (9891), (9898) gives:
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | (9913) all_65_78 = all_42_1
% 174.28/26.62 | | | | | | | | | | | | | | | | | | |
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_14, all_65_78, e0,
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | e1, simplifying with (227), (9895) gives:
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | (9914) all_65_78 = all_61_14
% 174.28/26.62 | | | | | | | | | | | | | | | | | | |
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e2, all_65_77, e1, e1,
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | simplifying with (5784), (9894) gives:
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | (9915) all_65_77 = e2
% 174.28/26.62 | | | | | | | | | | | | | | | | | | |
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_77, all_65_47, e1,
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | e1, simplifying with (9894), (9897) gives:
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | (9916) all_65_47 = all_65_77
% 174.28/26.62 | | | | | | | | | | | | | | | | | | |
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_60_2, all_65_47, e1,
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | e1, simplifying with (9897), (9910) gives:
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | (9917) all_65_47 = all_60_2
% 174.28/26.62 | | | | | | | | | | | | | | | | | | |
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_40_1, all_65_15, e1,
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | e3, simplifying with (9735), (9896) gives:
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | (9918) all_65_15 = all_40_1
% 174.28/26.62 | | | | | | | | | | | | | | | | | | |
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9916), (9917) imply:
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | (9919) all_65_77 = all_60_2
% 174.28/26.62 | | | | | | | | | | | | | | | | | | |
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | SIMP: (9919) implies:
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | (9920) all_65_77 = all_60_2
% 174.28/26.62 | | | | | | | | | | | | | | | | | | |
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9915), (9920) imply:
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | (9921) all_60_2 = e2
% 174.28/26.62 | | | | | | | | | | | | | | | | | | |
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9911), (9914) imply:
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | (9922) all_61_11 = all_61_14
% 174.28/26.62 | | | | | | | | | | | | | | | | | | |
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9911), (9913) imply:
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | (9923) all_61_11 = all_42_1
% 174.28/26.62 | | | | | | | | | | | | | | | | | | |
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9911), (9912) imply:
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | (9924) all_61_11 = all_50_1
% 174.28/26.62 | | | | | | | | | | | | | | | | | | |
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9922), (9924) imply:
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | (9925) all_61_14 = all_50_1
% 174.28/26.62 | | | | | | | | | | | | | | | | | | |
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | SIMP: (9925) implies:
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | (9926) all_61_14 = all_50_1
% 174.28/26.62 | | | | | | | | | | | | | | | | | | |
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9923), (9924) imply:
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | (9927) all_50_1 = all_42_1
% 174.28/26.62 | | | | | | | | | | | | | | | | | | |
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9926), (9927) imply:
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | (9928) all_61_14 = all_42_1
% 174.28/26.62 | | | | | | | | | | | | | | | | | | |
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | REDUCE: (5816), (9928) imply:
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | (9929) ~ (all_42_1 = all_10_1)
% 174.28/26.62 | | | | | | | | | | | | | | | | | | |
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | REDUCE: (9779), (9923) imply:
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | (9930) op(all_61_3, e3) = all_42_1
% 174.28/26.62 | | | | | | | | | | | | | | | | | | |
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | REDUCE: (649), (9918) imply:
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | (9931) op(all_61_12, e0) = all_40_1
% 174.28/26.62 | | | | | | | | | | | | | | | | | | |
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | BETA: splitting (163) gives:
% 174.28/26.62 | | | | | | | | | | | | | | | | | | |
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | Case 1:
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | |
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | (9932) ~ (all_58_1 = e0)
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | |
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | REDUCE: (481), (9932) imply:
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | (9933) ~ (all_52_1 = e0)
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | |
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | BETA: splitting (162) gives:
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | |
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | (9934) ~ (all_58_2 = e3)
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | REDUCE: (478), (9934) imply:
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | (9935) ~ (all_52_2 = e3)
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (167) gives:
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | | (9936) ~ (all_58_0 = e1)
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (484), (9936) imply:
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | | (9937) ~ (all_52_0 = e1)
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (165) gives:
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | | | (9938) ~ (all_58_1 = e3)
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (481), (9938) imply:
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | | | (9939) ~ (all_52_1 = e3)
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (168) gives:
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | | | | (9940) ~ (all_58_0 = e2)
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (484), (9940) imply:
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | | | | (9941) ~ (all_52_0 = e2)
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (166) gives:
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | (9942) ~ (all_58_0 = e0)
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (484), (9942) imply:
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | (9943) ~ (all_52_0 = e0)
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (151) gives:
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | (9944) all_56_0 = e3
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (534), (9944) imply:
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | (9945) all_52_0 = e3
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9945) implies:
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | (9946) all_52_0 = e3
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (714), (9946) imply:
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | (9947) op(e3, e3) = unit
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e1, unit, e3, e3,
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (9746), (9947) gives:
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | (9948) unit = e1
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (20), (50), (5784), (9948) are inconsistent
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #224.
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | (9949) all_56_0 = e2 | all_56_0 = e1 | all_56_0 = e0
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (534), (9937), (9941), (9943), (9949) are
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #512.
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | (9950) all_58_3 = e3
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | (9951) all_58_0 = e0
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (484), (9951) imply:
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | (9952) all_52_0 = e0
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9952) implies:
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | (9953) all_52_0 = e0
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (475), (9950) imply:
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | (9954) all_52_3 = e3
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (714), (9953) imply:
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | (9955) op(e3, e0) = unit
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (765), (9954) imply:
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | (9956) op(e0, e3) = unit
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_3, unit, e3, e0,
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (226), (9956) gives:
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | (9957) all_61_3 = unit
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_12, unit, e0, e3,
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (235), (9955) gives:
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | (9958) all_61_12 = unit
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9930), (9957) imply:
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | (9959) op(unit, e3) = all_42_1
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (9957) imply:
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | (9960) op(unit, e0) = all_65_55
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (646), (9958) imply:
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | (9961) op(unit, e3) = all_65_12
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9931), (9958) imply:
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | (9962) op(unit, e0) = all_40_1
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e0, all_65_55, e0, unit,
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (7), (9960) gives:
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | (9963) all_65_55 = e0
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_40_1, all_65_55, e0,
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | unit, simplifying with (9960), (9962) gives:
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | (9964) all_65_55 = all_40_1
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e3, all_65_12, e3, unit,
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (10), (9961) gives:
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | (9965) all_65_12 = e3
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_42_1, all_65_12, e3,
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | unit, simplifying with (9959), (9961) gives:
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | (9966) all_65_12 = all_42_1
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9965), (9966) imply:
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | (9967) all_42_1 = e3
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9963), (9964) imply:
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | (9968) all_40_1 = e0
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9929), (9967) imply:
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | (9969) ~ (all_10_1 = e3)
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9969) implies:
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | (9970) ~ (all_10_1 = e3)
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9775), (9968) imply:
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | (9971) ~ (all_10_1 = e0)
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9971) implies:
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | (9972) ~ (all_10_1 = e0)
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (265), (5809), (5823), (9691), (9970), (9972) are
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #287.
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | | | | (9973) all_58_1 = e3
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (481), (9939), (9973) are inconsistent by
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #511.
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | | | (9974) all_58_0 = e2
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (484), (9974) imply:
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | | | (9975) all_52_0 = e2
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9975) implies:
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | | | (9976) all_52_0 = e2
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (714), (9976) imply:
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | | | (9977) op(e3, e2) = unit
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (50), (237), (9776), (9780), (9977) are
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #223.
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | | (9978) all_58_2 = e3
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (478), (9935), (9978) are inconsistent by
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | | sub-proof #507.
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | End of split
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | (9979) all_58_2 = e3
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | (9980) all_58_0 = e1
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (484), (9980) imply:
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | (9981) all_52_0 = e1
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | SIMP: (9981) implies:
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | (9982) all_52_0 = e1
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (478), (9979) imply:
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | (9983) all_52_2 = e3
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | REDUCE: (628), (9982) imply:
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | (9984) ~ (all_52_1 = e1)
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | SIMP: (9984) implies:
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | (9985) ~ (all_52_1 = e1)
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | REDUCE: (631), (9983) imply:
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | (9986) ~ (all_52_1 = e3)
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | REDUCE: (714), (9982) imply:
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | (9987) op(e3, e1) = unit
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (150) gives:
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | | (9988) all_56_1 = e3
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (536), (9986), (9988) are inconsistent by
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | | sub-proof #455.
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | | (9989) all_56_1 = e2 | all_56_1 = e1 | all_56_1 = e0
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9989) gives:
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | | | (9990) all_56_1 = e2
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (536), (9990) imply:
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | | | (9991) all_52_1 = e2
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9991) implies:
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | | | (9992) all_52_1 = e2
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (731), (9992) imply:
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | | | (9993) op(e2, e2) = unit
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e1, unit, e2, e2,
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (9698), (9993) gives:
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | | | (9994) unit = e1
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_40_1, unit, e1, e3,
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (9735), (9987) gives:
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | | | (9995) all_40_1 = unit
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9994), (9995) imply:
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | | | (9996) all_40_1 = e1
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9777), (9996) imply:
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | | | (9997) $false
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (9997) is inconsistent.
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | | | (9998) all_56_1 = e1 | all_56_1 = e0
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (536), (9933), (9985), (9998) are inconsistent by
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #454.
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | | End of split
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | End of split
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | |
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | Case 2:
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | |
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | (9999) all_58_3 = e2
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | (10000) all_58_1 = e0
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | |
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (50), (225), (231), (475), (481), (663),
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | (728), (731), (765), (5776), (9720), (9723),
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | (9999), (10000) are inconsistent by sub-proof
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | | #324.
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | |
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | End of split
% 174.28/26.62 | | | | | | | | | | | | | | | | | | |
% 174.28/26.62 | | | | | | | | | | | | | | | | | | Case 2:
% 174.28/26.62 | | | | | | | | | | | | | | | | | | |
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | (10001) ~ (all_60_3 = e1) & op(e0, e0) = all_60_3 &
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | $i(all_60_3)
% 174.28/26.62 | | | | | | | | | | | | | | | | | | |
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (50), (9899), (10001) are inconsistent by
% 174.28/26.62 | | | | | | | | | | | | | | | | | | | sub-proof #299.
% 174.28/26.62 | | | | | | | | | | | | | | | | | | |
% 174.28/26.62 | | | | | | | | | | | | | | | | | | End of split
% 174.28/26.62 | | | | | | | | | | | | | | | | | |
% 174.28/26.62 | | | | | | | | | | | | | | | | | End of split
% 174.28/26.62 | | | | | | | | | | | | | | | | |
% 174.28/26.62 | | | | | | | | | | | | | | | | End of split
% 174.28/26.62 | | | | | | | | | | | | | | | |
% 174.28/26.62 | | | | | | | | | | | | | | | End of split
% 174.28/26.62 | | | | | | | | | | | | | | |
% 174.28/26.62 | | | | | | | | | | | | | | End of split
% 174.28/26.62 | | | | | | | | | | | | | |
% 174.28/26.62 | | | | | | | | | | | | | End of split
% 174.28/26.62 | | | | | | | | | | | | |
% 174.28/26.62 | | | | | | | | | | | | Case 2:
% 174.28/26.62 | | | | | | | | | | | | |
% 174.28/26.62 | | | | | | | | | | | | | (10002) all_36_2 = e0
% 174.28/26.62 | | | | | | | | | | | | | (10003) op(e3, e0) = all_36_1 & $i(all_36_1) & ( ~
% 174.28/26.62 | | | | | | | | | | | | | (all_36_1 = e2) | ( ~ (all_36_0 = e1) & op(e2,
% 174.28/26.62 | | | | | | | | | | | | | e3) = all_36_0 & $i(all_36_0)))
% 174.28/26.62 | | | | | | | | | | | | |
% 174.28/26.62 | | | | | | | | | | | | | ALPHA: (10003) implies:
% 174.28/26.62 | | | | | | | | | | | | | (10004) op(e3, e0) = all_36_1
% 174.28/26.62 | | | | | | | | | | | | |
% 174.28/26.62 | | | | | | | | | | | | | COMBINE_EQS: (557), (10002) imply:
% 174.28/26.62 | | | | | | | | | | | | | (10005) all_14_2 = e0
% 174.28/26.62 | | | | | | | | | | | | |
% 174.28/26.62 | | | | | | | | | | | | | SIMP: (10005) implies:
% 174.28/26.62 | | | | | | | | | | | | | (10006) all_14_2 = e0
% 174.28/26.62 | | | | | | | | | | | | |
% 174.28/26.62 | | | | | | | | | | | | | COMBINE_EQS: (549), (10006) imply:
% 174.28/26.62 | | | | | | | | | | | | | (10007) all_44_2 = e0
% 174.28/26.62 | | | | | | | | | | | | |
% 174.28/26.62 | | | | | | | | | | | | | REDUCE: (593), (10006) imply:
% 174.28/26.62 | | | | | | | | | | | | | (10008) ~ (all_61_1 = e0)
% 174.28/26.62 | | | | | | | | | | | | |
% 174.28/26.62 | | | | | | | | | | | | | REDUCE: (601), (10006) imply:
% 174.28/26.62 | | | | | | | | | | | | | (10009) ~ (all_61_8 = e0)
% 174.28/26.62 | | | | | | | | | | | | |
% 174.28/26.62 | | | | | | | | | | | | | REDUCE: (603), (10006) imply:
% 174.28/26.62 | | | | | | | | | | | | | (10010) ~ (all_61_12 = e0)
% 174.28/26.62 | | | | | | | | | | | | |
% 174.28/26.62 | | | | | | | | | | | | | REDUCE: (634), (10006) imply:
% 174.28/26.62 | | | | | | | | | | | | | (10011) op(e0, e3) = all_65_0
% 174.28/26.62 | | | | | | | | | | | | |
% 174.28/26.62 | | | | | | | | | | | | | REDUCE: (635), (10006) imply:
% 174.28/26.62 | | | | | | | | | | | | | (10012) op(e0, e2) = all_65_1
% 174.28/26.62 | | | | | | | | | | | | |
% 174.28/26.62 | | | | | | | | | | | | | REDUCE: (636), (10006) imply:
% 174.28/26.62 | | | | | | | | | | | | | (10013) op(e0, e1) = all_65_2
% 174.28/26.62 | | | | | | | | | | | | |
% 174.28/26.62 | | | | | | | | | | | | | REDUCE: (637), (10006) imply:
% 174.28/26.62 | | | | | | | | | | | | | (10014) op(e0, e0) = all_65_3
% 174.28/26.62 | | | | | | | | | | | | |
% 174.28/26.62 | | | | | | | | | | | | | REDUCE: (698), (10006) imply:
% 174.28/26.62 | | | | | | | | | | | | | (10015) op(e3, e0) = all_65_0
% 174.28/26.62 | | | | | | | | | | | | |
% 174.28/26.62 | | | | | | | | | | | | | REDUCE: (715), (10006) imply:
% 174.28/26.62 | | | | | | | | | | | | | (10016) op(e2, e0) = all_65_16
% 174.28/26.62 | | | | | | | | | | | | |
% 174.28/26.62 | | | | | | | | | | | | | REDUCE: (732), (10006) imply:
% 174.28/26.62 | | | | | | | | | | | | | (10017) op(e1, e0) = all_65_32
% 174.28/26.62 | | | | | | | | | | | | |
% 174.28/26.62 | | | | | | | | | | | | | REDUCE: (749), (10006) imply:
% 174.28/26.62 | | | | | | | | | | | | | (10018) op(e0, e0) = all_65_49
% 174.28/26.62 | | | | | | | | | | | | |
% 174.28/26.62 | | | | | | | | | | | | | BETA: splitting (113) gives:
% 174.28/26.62 | | | | | | | | | | | | |
% 174.28/26.62 | | | | | | | | | | | | | Case 1:
% 174.28/26.62 | | | | | | | | | | | | | |
% 174.28/26.62 | | | | | | | | | | | | | | (10019) ~ (all_44_2 = e0)
% 174.28/26.62 | | | | | | | | | | | | | |
% 174.28/26.62 | | | | | | | | | | | | | | REDUCE: (10007), (10019) imply:
% 174.28/26.62 | | | | | | | | | | | | | | (10020) $false
% 174.28/26.62 | | | | | | | | | | | | | |
% 174.28/26.62 | | | | | | | | | | | | | | CLOSE: (10020) is inconsistent.
% 174.28/26.62 | | | | | | | | | | | | | |
% 174.28/26.62 | | | | | | | | | | | | | Case 2:
% 174.28/26.62 | | | | | | | | | | | | | |
% 174.28/26.62 | | | | | | | | | | | | | | (10021) op(e3, e0) = all_44_1 & $i(all_44_1) & ( ~
% 174.28/26.62 | | | | | | | | | | | | | | (all_44_1 = e1) | ( ~ (all_44_0 = e2) & op(e1,
% 174.28/26.62 | | | | | | | | | | | | | | e3) = all_44_0 & $i(all_44_0)))
% 174.28/26.62 | | | | | | | | | | | | | |
% 174.28/26.62 | | | | | | | | | | | | | | ALPHA: (10021) implies:
% 174.28/26.62 | | | | | | | | | | | | | | (10022) op(e3, e0) = all_44_1
% 174.28/26.62 | | | | | | | | | | | | | |
% 174.28/26.62 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_20_2, all_65_3, e0,
% 174.28/26.62 | | | | | | | | | | | | | | e0, simplifying with (76), (10014) gives:
% 174.28/26.62 | | | | | | | | | | | | | | (10023) all_65_3 = all_20_2
% 174.28/26.62 | | | | | | | | | | | | | |
% 174.28/26.62 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_49, all_65_3, e0,
% 174.28/26.62 | | | | | | | | | | | | | | e0, simplifying with (10014), (10018) gives:
% 174.28/26.62 | | | | | | | | | | | | | | (10024) all_65_3 = all_65_49
% 174.28/26.62 | | | | | | | | | | | | | |
% 174.28/26.62 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_11, all_65_2, e1,
% 174.28/26.62 | | | | | | | | | | | | | | e0, simplifying with (224), (10013) gives:
% 174.28/26.62 | | | | | | | | | | | | | | (10025) all_65_2 = all_61_11
% 174.28/26.62 | | | | | | | | | | | | | |
% 174.28/26.62 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_7, all_65_1, e2,
% 174.28/26.62 | | | | | | | | | | | | | | e0, simplifying with (225), (10012) gives:
% 174.28/26.62 | | | | | | | | | | | | | | (10026) all_65_1 = all_61_7
% 174.28/26.62 | | | | | | | | | | | | | |
% 174.28/26.62 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_3, all_65_0, e3,
% 174.28/26.62 | | | | | | | | | | | | | | e0, simplifying with (226), (10011) gives:
% 174.28/26.62 | | | | | | | | | | | | | | (10027) all_65_0 = all_61_3
% 174.28/26.62 | | | | | | | | | | | | | |
% 174.28/26.62 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_14, all_65_32, e0,
% 174.28/26.62 | | | | | | | | | | | | | | e1, simplifying with (227), (10017) gives:
% 174.28/26.62 | | | | | | | | | | | | | | (10028) all_65_32 = all_61_14
% 174.28/26.62 | | | | | | | | | | | | | |
% 174.28/26.62 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_13, all_65_16, e0,
% 174.28/26.62 | | | | | | | | | | | | | | e2, simplifying with (231), (10016) gives:
% 174.28/26.62 | | | | | | | | | | | | | | (10029) all_65_16 = all_61_13
% 174.28/26.62 | | | | | | | | | | | | | |
% 174.28/26.62 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_12, all_44_1, e0,
% 174.28/26.62 | | | | | | | | | | | | | | e3, simplifying with (235), (10022) gives:
% 174.28/26.62 | | | | | | | | | | | | | | (10030) all_61_12 = all_44_1
% 174.28/26.62 | | | | | | | | | | | | | |
% 174.28/26.62 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_12, all_65_0, e0,
% 174.28/26.62 | | | | | | | | | | | | | | e3, simplifying with (235), (10015) gives:
% 174.28/26.62 | | | | | | | | | | | | | | (10031) all_65_0 = all_61_12
% 174.28/26.62 | | | | | | | | | | | | | |
% 174.28/26.62 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_36_1, all_65_0, e0,
% 174.28/26.62 | | | | | | | | | | | | | | e3, simplifying with (10004), (10015) gives:
% 174.28/26.62 | | | | | | | | | | | | | | (10032) all_65_0 = all_36_1
% 174.28/26.62 | | | | | | | | | | | | | |
% 174.28/26.62 | | | | | | | | | | | | | | COMBINE_EQS: (10031), (10032) imply:
% 174.28/26.62 | | | | | | | | | | | | | | (10033) all_61_12 = all_36_1
% 174.28/26.62 | | | | | | | | | | | | | |
% 174.28/26.62 | | | | | | | | | | | | | | SIMP: (10033) implies:
% 174.28/26.62 | | | | | | | | | | | | | | (10034) all_61_12 = all_36_1
% 174.28/26.62 | | | | | | | | | | | | | |
% 174.28/26.62 | | | | | | | | | | | | | | COMBINE_EQS: (10027), (10032) imply:
% 174.28/26.62 | | | | | | | | | | | | | | (10035) all_61_3 = all_36_1
% 174.28/26.62 | | | | | | | | | | | | | |
% 174.28/26.62 | | | | | | | | | | | | | | SIMP: (10035) implies:
% 174.28/26.62 | | | | | | | | | | | | | | (10036) all_61_3 = all_36_1
% 174.28/26.62 | | | | | | | | | | | | | |
% 174.28/26.62 | | | | | | | | | | | | | | COMBINE_EQS: (10023), (10024) imply:
% 174.28/26.62 | | | | | | | | | | | | | | (10037) all_65_49 = all_20_2
% 174.28/26.62 | | | | | | | | | | | | | |
% 174.28/26.62 | | | | | | | | | | | | | | COMBINE_EQS: (10030), (10034) imply:
% 174.28/26.62 | | | | | | | | | | | | | | (10038) all_44_1 = all_36_1
% 174.28/26.62 | | | | | | | | | | | | | |
% 174.28/26.62 | | | | | | | | | | | | | | COMBINE_EQS: (506), (10036) imply:
% 174.28/26.62 | | | | | | | | | | | | | | (10039) all_63_12 = all_36_1
% 174.28/26.62 | | | | | | | | | | | | | |
% 174.28/26.62 | | | | | | | | | | | | | | COMBINE_EQS: (491), (10034) imply:
% 174.28/26.62 | | | | | | | | | | | | | | (10040) all_63_3 = all_36_1
% 174.28/26.62 | | | | | | | | | | | | | |
% 174.28/26.62 | | | | | | | | | | | | | | REDUCE: (211), (10036) imply:
% 174.28/26.63 | | | | | | | | | | | | | | (10041) ~ (all_61_2 = all_36_1)
% 174.28/26.63 | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | REDUCE: (207), (10036) imply:
% 174.28/26.63 | | | | | | | | | | | | | | (10042) ~ (all_61_7 = all_36_1)
% 174.28/26.63 | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | SIMP: (10042) implies:
% 174.28/26.63 | | | | | | | | | | | | | | (10043) ~ (all_61_7 = all_36_1)
% 174.28/26.63 | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | REDUCE: (187), (10034) imply:
% 174.28/26.63 | | | | | | | | | | | | | | (10044) ~ (all_61_8 = all_36_1)
% 174.28/26.63 | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | REDUCE: (180), (10034) imply:
% 174.28/26.63 | | | | | | | | | | | | | | (10045) ~ (all_61_13 = all_36_1)
% 174.28/26.63 | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | SIMP: (10045) implies:
% 174.28/26.63 | | | | | | | | | | | | | | (10046) ~ (all_61_13 = all_36_1)
% 174.28/26.63 | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | REDUCE: (179), (10034) imply:
% 174.28/26.63 | | | | | | | | | | | | | | (10047) ~ (all_61_14 = all_36_1)
% 174.28/26.63 | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | SIMP: (10047) implies:
% 174.28/26.63 | | | | | | | | | | | | | | (10048) ~ (all_61_14 = all_36_1)
% 174.28/26.63 | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | REDUCE: (625), (10034) imply:
% 174.28/26.63 | | | | | | | | | | | | | | (10049) ~ (all_36_1 = all_20_2)
% 174.28/26.63 | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | REDUCE: (10010), (10034) imply:
% 174.28/26.63 | | | | | | | | | | | | | | (10050) ~ (all_36_1 = e0)
% 174.28/26.63 | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | REDUCE: (685), (10036) imply:
% 174.28/26.63 | | | | | | | | | | | | | | (10051) op(all_36_1, e0) = all_65_55
% 174.28/26.63 | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | REDUCE: (649), (10034) imply:
% 174.28/26.63 | | | | | | | | | | | | | | (10052) op(all_36_1, e0) = all_65_15
% 174.28/26.63 | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | REDUCE: (761), (10036) imply:
% 174.28/26.63 | | | | | | | | | | | | | | (10053) op(e0, all_36_1) = all_65_73
% 174.28/26.63 | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | REDUCE: (752), (10034) imply:
% 174.28/26.63 | | | | | | | | | | | | | | (10054) op(e0, all_36_1) = all_65_55
% 174.28/26.63 | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_73, all_65_55,
% 174.28/26.63 | | | | | | | | | | | | | | all_36_1, e0, simplifying with (10053), (10054)
% 174.28/26.63 | | | | | | | | | | | | | | gives:
% 174.28/26.63 | | | | | | | | | | | | | | (10055) all_65_55 = all_65_73
% 174.28/26.63 | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_55, all_65_15, e0,
% 174.28/26.63 | | | | | | | | | | | | | | all_36_1, simplifying with (10051), (10052) gives:
% 174.28/26.63 | | | | | | | | | | | | | | (10056) all_65_15 = all_65_55
% 174.28/26.63 | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | COMBINE_EQS: (10055), (10056) imply:
% 174.28/26.63 | | | | | | | | | | | | | | (10057) all_65_15 = all_65_73
% 174.28/26.63 | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | REDUCE: (713), (10057) imply:
% 174.28/26.63 | | | | | | | | | | | | | | (10058) op(e3, all_20_2) = all_65_73
% 174.28/26.63 | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | BETA: splitting (110) gives:
% 174.28/26.63 | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | Case 1:
% 174.28/26.63 | | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | | (10059) ~ (all_42_2 = e1)
% 174.28/26.63 | | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | | REDUCE: (532), (10059) imply:
% 174.28/26.63 | | | | | | | | | | | | | | | (10060) ~ (all_20_2 = e1)
% 174.28/26.63 | | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | | BETA: splitting (256) gives:
% 174.28/26.63 | | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | | Case 1:
% 174.28/26.63 | | | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | | | (10061) all_63_15 = e3
% 174.28/26.63 | | | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | | | COMBINE_EQS: (422), (10061) imply:
% 174.28/26.63 | | | | | | | | | | | | | | | | (10062) all_20_2 = e3
% 174.28/26.63 | | | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | | | REDUCE: (9728), (10062) imply:
% 174.28/26.63 | | | | | | | | | | | | | | | | (10063) $false
% 174.28/26.63 | | | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | | | CLOSE: (10063) is inconsistent.
% 174.28/26.63 | | | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | | Case 2:
% 174.28/26.63 | | | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | | | (10064) all_63_15 = e2 | all_63_15 = e1 | all_63_15 = e0
% 174.28/26.63 | | | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | | | BETA: splitting (10064) gives:
% 174.28/26.63 | | | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | | | Case 1:
% 174.28/26.63 | | | | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | | | | (10065) all_63_15 = e2
% 174.28/26.63 | | | | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | | | | COMBINE_EQS: (422), (10065) imply:
% 174.28/26.63 | | | | | | | | | | | | | | | | | (10066) all_20_2 = e2
% 174.28/26.63 | | | | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | | | | REDUCE: (9726), (10066) imply:
% 174.28/26.63 | | | | | | | | | | | | | | | | | (10067) $false
% 174.28/26.63 | | | | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | | | | CLOSE: (10067) is inconsistent.
% 174.28/26.63 | | | | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | | | Case 2:
% 174.28/26.63 | | | | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | | | | (10068) all_63_15 = e1 | all_63_15 = e0
% 174.28/26.63 | | | | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | | | | BETA: splitting (10068) gives:
% 174.28/26.63 | | | | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | | | | Case 1:
% 174.28/26.63 | | | | | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | | | | | (10069) all_63_15 = e1
% 174.28/26.63 | | | | | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (422), (10069) imply:
% 174.28/26.63 | | | | | | | | | | | | | | | | | | (10070) all_20_2 = e1
% 174.28/26.63 | | | | | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | | | | | REDUCE: (10060), (10070) imply:
% 174.28/26.63 | | | | | | | | | | | | | | | | | | (10071) $false
% 174.28/26.63 | | | | | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | | | | | CLOSE: (10071) is inconsistent.
% 174.28/26.63 | | | | | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | | | | Case 2:
% 174.28/26.63 | | | | | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | | | | | (10072) all_63_15 = e0
% 174.28/26.63 | | | | | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (422), (10072) imply:
% 174.28/26.63 | | | | | | | | | | | | | | | | | | (10073) all_20_2 = e0
% 174.28/26.63 | | | | | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | | | | | REDUCE: (626), (10073) imply:
% 174.28/26.63 | | | | | | | | | | | | | | | | | | (10074) ~ (all_61_13 = e0)
% 174.28/26.63 | | | | | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | | | | | REDUCE: (627), (10073) imply:
% 174.28/26.63 | | | | | | | | | | | | | | | | | | (10075) ~ (all_61_14 = e0)
% 174.28/26.63 | | | | | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | | | | | REDUCE: (694), (10073) imply:
% 174.28/26.63 | | | | | | | | | | | | | | | | | | (10076) op(e0, e3) = all_65_73
% 174.28/26.63 | | | | | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | | | | | REDUCE: (696), (10073) imply:
% 174.28/26.63 | | | | | | | | | | | | | | | | | | (10077) op(e0, e1) = all_65_77
% 174.28/26.63 | | | | | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | | | | | REDUCE: (10058), (10073) imply:
% 174.28/26.63 | | | | | | | | | | | | | | | | | | (10078) op(e3, e0) = all_65_73
% 174.28/26.63 | | | | | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | | | | | REDUCE: (747), (10073) imply:
% 174.28/26.63 | | | | | | | | | | | | | | | | | | (10079) op(e1, e0) = all_65_47
% 174.28/26.63 | | | | | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_11, all_65_77, e1,
% 174.28/26.63 | | | | | | | | | | | | | | | | | | e0, simplifying with (224), (10077) gives:
% 174.28/26.63 | | | | | | | | | | | | | | | | | | (10080) all_65_77 = all_61_11
% 174.28/26.63 | | | | | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_14, all_65_47, e0,
% 174.28/26.63 | | | | | | | | | | | | | | | | | | e1, simplifying with (227), (10079) gives:
% 174.28/26.63 | | | | | | | | | | | | | | | | | | (10081) all_65_47 = all_61_14
% 174.28/26.63 | | | | | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_36_1, all_65_73, e0,
% 174.28/26.63 | | | | | | | | | | | | | | | | | | e3, simplifying with (10004), (10078) gives:
% 174.28/26.63 | | | | | | | | | | | | | | | | | | (10082) all_65_73 = all_36_1
% 174.28/26.63 | | | | | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | | | | | REDUCE: (10076), (10082) imply:
% 174.28/26.63 | | | | | | | | | | | | | | | | | | (10083) op(e0, e3) = all_36_1
% 174.28/26.63 | | | | | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | | | | | BETA: splitting (162) gives:
% 174.28/26.63 | | | | | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | | | | | Case 1:
% 174.28/26.63 | | | | | | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | (10084) ~ (all_58_2 = e3)
% 174.28/26.63 | | | | | | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | REDUCE: (478), (10084) imply:
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | (10085) ~ (all_52_2 = e3)
% 174.28/26.63 | | | | | | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | BETA: splitting (164) gives:
% 174.28/26.63 | | | | | | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | Case 1:
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | | (10086) ~ (all_58_1 = e1)
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | | REDUCE: (481), (10086) imply:
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | | (10087) ~ (all_52_1 = e1)
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | | BETA: splitting (161) gives:
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | | | (10088) ~ (all_58_2 = e2)
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | | | REDUCE: (478), (10088) imply:
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | | | (10089) ~ (all_52_2 = e2)
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (157) gives:
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | | | | (10090) ~ (all_58_3 = e1)
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (475), (10090) imply:
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | | | | (10091) ~ (all_52_3 = e1)
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (160) gives:
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | | | | | (10092) ~ (all_58_2 = e0)
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (478), (10092) imply:
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | | | | | (10093) ~ (all_52_2 = e0)
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (50), (149), (538), (748), (5784), (9698),
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | | | | | (10085), (10089), (10093) are inconsistent by
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #228.
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | | | | | (10094) all_58_3 = e1
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (475), (10091), (10094) are inconsistent by
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #460.
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | | | | (10095) all_58_3 = e1
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | | | | (10096) all_58_2 = e0
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (478), (10096) imply:
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | | | | (10097) all_52_2 = e0
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | | | | SIMP: (10097) implies:
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | | | | (10098) all_52_2 = e0
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (475), (10095) imply:
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | | | | (10099) all_52_3 = e1
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (50), (224), (227), (693), (748), (765),
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | | | | (852), (5776), (10075), (10098), (10099) are
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #222.
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | | | End of split
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | | | (10100) all_58_1 = e1
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (481), (10087), (10100) are inconsistent by
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | | | sub-proof #424.
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | | End of split
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | Case 2:
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | | (10101) all_58_1 = e1
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (50), (188), (224), (269), (481), (489),
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | | (731), (852), (5773), (5790), (5806), (5817),
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | | (5823), (5824), (5838), (9691), (9692), (10044),
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | | (10083), (10101) are inconsistent by sub-proof
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | | #221.
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | End of split
% 174.28/26.63 | | | | | | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | | | | | Case 2:
% 174.28/26.63 | | | | | | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | (10102) all_58_2 = e3
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | (10103) all_58_0 = e1
% 174.28/26.63 | | | | | | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (484), (10103) imply:
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | (10104) all_52_0 = e1
% 174.28/26.63 | | | | | | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | SIMP: (10104) implies:
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | (10105) all_52_0 = e1
% 174.28/26.63 | | | | | | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (478), (10102) imply:
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | (10106) all_52_2 = e3
% 174.28/26.63 | | | | | | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | REDUCE: (714), (10105) imply:
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | (10107) op(e3, e1) = unit
% 174.28/26.63 | | | | | | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | REDUCE: (748), (10106) imply:
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | (10108) op(e1, e3) = unit
% 174.28/26.63 | | | | | | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_2, unit, e3, e1,
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | simplifying with (230), (10108) gives:
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | (10109) all_61_2 = unit
% 174.28/26.63 | | | | | | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_8, unit, e1, e3,
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | simplifying with (236), (10107) gives:
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | (10110) all_61_8 = unit
% 174.28/26.63 | | | | | | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (499), (10109) imply:
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | (10111) all_63_8 = unit
% 174.28/26.63 | | | | | | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | REDUCE: (208), (10109) imply:
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | (10112) ~ (all_61_14 = unit)
% 174.28/26.63 | | | | | | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | SIMP: (10112) implies:
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | (10113) ~ (all_61_14 = unit)
% 174.28/26.63 | | | | | | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | REDUCE: (10044), (10110) imply:
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | (10114) ~ (all_36_1 = unit)
% 174.28/26.63 | | | | | | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | SIMP: (10114) implies:
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | (10115) ~ (all_36_1 = unit)
% 174.28/26.63 | | | | | | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | REDUCE: (5773), (10110) imply:
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | (10116) ~ (unit = e2)
% 174.28/26.63 | | | | | | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | REDUCE: (10009), (10110) imply:
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | (10117) ~ (unit = e0)
% 174.28/26.63 | | | | | | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | BETA: splitting (852) gives:
% 174.28/26.63 | | | | | | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | Case 1:
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | | (10118) unit = e2
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | | REDUCE: (10116), (10118) imply:
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | | (10119) $false
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | | CLOSE: (10119) is inconsistent.
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | Case 2:
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | | (10120) unit = e1 | unit = e0
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | | BETA: splitting (10120) gives:
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | | | (10121) unit = e1
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | | | REDUCE: (10113), (10121) imply:
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | | | (10122) ~ (all_61_14 = e1)
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | | | REDUCE: (10115), (10121) imply:
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | | | (10123) ~ (all_36_1 = e1)
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (260) gives:
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | | | | (10124) all_63_11 = e3
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (505), (10124) imply:
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | | | | (10125) all_61_14 = e3
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (177), (10125) imply:
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | | | | (10126) ~ (all_61_13 = e3)
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10048), (10125) imply:
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | | | | (10127) ~ (all_36_1 = e3)
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | | | | SIMP: (10127) implies:
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | | | | (10128) ~ (all_36_1 = e3)
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (259) gives:
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | | | | | (10129) all_63_12 = e3
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10039), (10129) imply:
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | | | | | (10130) all_36_1 = e3
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10128), (10130) imply:
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | | | | | (10131) $false
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (10131) is inconsistent.
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | | | | | (10132) ~ (all_63_12 = e3)
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | | | | | (10133) all_63_12 = e2 | all_63_12 = e1 | all_63_12 = e0
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (268) gives:
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | | | | | | (10134) all_63_3 = e3
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10040), (10134) imply:
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | | | | | | (10135) all_36_1 = e3
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10128), (10135) imply:
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | | | | | | (10136) $false
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (10136) is inconsistent.
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | | | | | | (10137) all_63_3 = e2 | all_63_3 = e1 | all_63_3 = e0
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10133) gives:
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | (10138) all_63_12 = e2
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10039), (10138) imply:
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | (10139) all_36_1 = e2
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10046), (10139) imply:
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | (10140) ~ (all_61_13 = e2)
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (264), (498), (9690), (10074), (10126), (10140)
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #473.
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | (10141) ~ (all_63_12 = e2)
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10039), (10141) imply:
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | (10142) ~ (all_36_1 = e2)
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10040), (10050), (10123), (10137), (10142) are
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #447.
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | | | | (10143) all_63_11 = e2 | all_63_11 = e1 | all_63_11 = e0
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (505), (5776), (10075), (10122), (10143) are
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #521.
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | | | End of split
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | | | (10144) ~ (unit = e1)
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (263), (851), (10111), (10116), (10117), (10144)
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #219.
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | | End of split
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | | | | | | End of split
% 174.28/26.63 | | | | | | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | | | | | End of split
% 174.28/26.63 | | | | | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | | | | End of split
% 174.28/26.63 | | | | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | | | End of split
% 174.28/26.63 | | | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | | End of split
% 174.28/26.63 | | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | Case 2:
% 174.28/26.63 | | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | | (10145) all_42_2 = e1
% 174.28/26.63 | | | | | | | | | | | | | | | (10146) op(e0, e1) = all_42_1 & $i(all_42_1) & ( ~
% 174.28/26.63 | | | | | | | | | | | | | | | (all_42_1 = e3) | ( ~ (all_42_0 = e2) & op(e3,
% 174.28/26.63 | | | | | | | | | | | | | | | e0) = all_42_0 & $i(all_42_0)))
% 174.28/26.63 | | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | | ALPHA: (10146) implies:
% 174.28/26.63 | | | | | | | | | | | | | | | (10147) op(e0, e1) = all_42_1
% 174.28/26.63 | | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | | COMBINE_EQS: (532), (10145) imply:
% 174.28/26.63 | | | | | | | | | | | | | | | (10148) all_20_2 = e1
% 174.28/26.63 | | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | | REDUCE: (627), (10148) imply:
% 174.28/26.63 | | | | | | | | | | | | | | | (10149) ~ (all_61_14 = e1)
% 174.28/26.63 | | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | | REDUCE: (9726), (10148) imply:
% 174.28/26.63 | | | | | | | | | | | | | | | (10150) ~ (e2 = e1)
% 174.28/26.63 | | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | | REDUCE: (694), (10148) imply:
% 174.28/26.63 | | | | | | | | | | | | | | | (10151) op(e1, e3) = all_65_73
% 174.28/26.63 | | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | | REDUCE: (696), (10148) imply:
% 174.28/26.63 | | | | | | | | | | | | | | | (10152) op(e1, e1) = all_65_77
% 174.28/26.63 | | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | | REDUCE: (697), (10148) imply:
% 174.28/26.63 | | | | | | | | | | | | | | | (10153) op(e1, e0) = all_65_78
% 174.28/26.63 | | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | | REDUCE: (10058), (10148) imply:
% 174.28/26.63 | | | | | | | | | | | | | | | (10154) op(e3, e1) = all_65_73
% 174.28/26.63 | | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | | REDUCE: (730), (10148) imply:
% 174.28/26.63 | | | | | | | | | | | | | | | (10155) op(e2, e1) = all_65_31
% 174.28/26.63 | | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | | REDUCE: (747), (10148) imply:
% 174.28/26.63 | | | | | | | | | | | | | | | (10156) op(e1, e1) = all_65_47
% 174.28/26.63 | | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | | REDUCE: (764), (10148) imply:
% 174.28/26.63 | | | | | | | | | | | | | | | (10157) op(e0, e1) = all_65_78
% 174.28/26.63 | | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | | REDUCE: (76), (10148) imply:
% 174.28/26.63 | | | | | | | | | | | | | | | (10158) op(e0, e0) = e1
% 174.28/26.63 | | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_11, all_65_78, e1,
% 174.28/26.63 | | | | | | | | | | | | | | | e0, simplifying with (224), (10157) gives:
% 174.28/26.63 | | | | | | | | | | | | | | | (10159) all_65_78 = all_61_11
% 174.28/26.63 | | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_42_1, all_65_78, e1,
% 174.28/26.63 | | | | | | | | | | | | | | | e0, simplifying with (10147), (10157) gives:
% 174.28/26.63 | | | | | | | | | | | | | | | (10160) all_65_78 = all_42_1
% 174.28/26.63 | | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_14, all_65_78, e0,
% 174.28/26.63 | | | | | | | | | | | | | | | e1, simplifying with (227), (10153) gives:
% 174.28/26.63 | | | | | | | | | | | | | | | (10161) all_65_78 = all_61_14
% 174.28/26.63 | | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e2, all_65_47, e1, e1,
% 174.28/26.63 | | | | | | | | | | | | | | | simplifying with (5784), (10156) gives:
% 174.28/26.63 | | | | | | | | | | | | | | | (10162) all_65_47 = e2
% 174.28/26.63 | | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_77, all_65_47, e1,
% 174.28/26.63 | | | | | | | | | | | | | | | e1, simplifying with (10152), (10156) gives:
% 174.28/26.63 | | | | | | | | | | | | | | | (10163) all_65_47 = all_65_77
% 174.28/26.63 | | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_2, all_65_73, e3,
% 174.28/26.63 | | | | | | | | | | | | | | | e1, simplifying with (230), (10151) gives:
% 174.28/26.63 | | | | | | | | | | | | | | | (10164) all_65_73 = all_61_2
% 174.28/26.63 | | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_10_1, all_65_31, e1,
% 174.28/26.63 | | | | | | | | | | | | | | | e2, simplifying with (5838), (10155) gives:
% 174.28/26.63 | | | | | | | | | | | | | | | (10165) all_65_31 = all_10_1
% 174.28/26.63 | | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_8, all_65_73, e1,
% 174.28/26.63 | | | | | | | | | | | | | | | e3, simplifying with (236), (10154) gives:
% 174.28/26.63 | | | | | | | | | | | | | | | (10166) all_65_73 = all_61_8
% 174.28/26.63 | | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | | COMBINE_EQS: (10162), (10163) imply:
% 174.28/26.63 | | | | | | | | | | | | | | | (10167) all_65_77 = e2
% 174.28/26.63 | | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | | COMBINE_EQS: (10164), (10166) imply:
% 174.28/26.63 | | | | | | | | | | | | | | | (10168) all_61_2 = all_61_8
% 174.28/26.63 | | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | | SIMP: (10168) implies:
% 174.28/26.63 | | | | | | | | | | | | | | | (10169) all_61_2 = all_61_8
% 174.28/26.63 | | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | | COMBINE_EQS: (10160), (10161) imply:
% 174.28/26.63 | | | | | | | | | | | | | | | (10170) all_61_14 = all_42_1
% 174.28/26.63 | | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | | SIMP: (10170) implies:
% 174.28/26.63 | | | | | | | | | | | | | | | (10171) all_61_14 = all_42_1
% 174.28/26.63 | | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | | COMBINE_EQS: (10159), (10160) imply:
% 174.28/26.63 | | | | | | | | | | | | | | | (10172) all_61_11 = all_42_1
% 174.28/26.63 | | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | | SIMP: (10172) implies:
% 174.28/26.63 | | | | | | | | | | | | | | | (10173) all_61_11 = all_42_1
% 174.28/26.63 | | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | | COMBINE_EQS: (510), (10173) imply:
% 174.28/26.63 | | | | | | | | | | | | | | | (10174) all_63_14 = all_42_1
% 174.28/26.63 | | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | | COMBINE_EQS: (505), (10171) imply:
% 174.28/26.63 | | | | | | | | | | | | | | | (10175) all_63_11 = all_42_1
% 174.28/26.63 | | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | | REDUCE: (192), (10173) imply:
% 174.28/26.63 | | | | | | | | | | | | | | | (10176) ~ (all_61_7 = all_42_1)
% 174.28/26.63 | | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | | REDUCE: (188), (10173) imply:
% 174.28/26.63 | | | | | | | | | | | | | | | (10177) ~ (all_61_8 = all_42_1)
% 174.28/26.63 | | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | | REDUCE: (10048), (10171) imply:
% 174.28/26.63 | | | | | | | | | | | | | | | (10178) ~ (all_42_1 = all_36_1)
% 174.28/26.63 | | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | | REDUCE: (5816), (10171) imply:
% 174.28/26.63 | | | | | | | | | | | | | | | (10179) ~ (all_42_1 = all_10_1)
% 174.28/26.63 | | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | | REDUCE: (5776), (10171) imply:
% 174.28/26.63 | | | | | | | | | | | | | | | (10180) ~ (all_42_1 = e2)
% 174.28/26.63 | | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | | REDUCE: (10149), (10171) imply:
% 174.28/26.63 | | | | | | | | | | | | | | | (10181) ~ (all_42_1 = e1)
% 174.28/26.63 | | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | | REDUCE: (668), (10169) imply:
% 174.28/26.63 | | | | | | | | | | | | | | | (10182) op(all_61_8, e1) = all_65_34
% 174.28/26.63 | | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | | REDUCE: (5833), (10173) imply:
% 174.28/26.63 | | | | | | | | | | | | | | | (10183) op(all_42_1, e1) = all_61_7
% 174.28/26.63 | | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | | REDUCE: (680), (10171) imply:
% 174.28/26.63 | | | | | | | | | | | | | | | (10184) op(all_42_1, e1) = all_65_46
% 174.28/26.63 | | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | | REDUCE: (5839), (10169) imply:
% 174.28/26.63 | | | | | | | | | | | | | | | (10185) op(e1, all_61_8) = all_61_1
% 174.28/26.63 | | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | | REDUCE: (746), (10173) imply:
% 174.28/26.63 | | | | | | | | | | | | | | | (10186) op(e1, all_42_1) = all_65_46
% 174.28/26.63 | | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | | REDUCE: (5840), (10171) imply:
% 174.28/26.63 | | | | | | | | | | | | | | | (10187) op(e1, all_42_1) = all_61_13
% 174.28/26.63 | | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | | REDUCE: (227), (10171) imply:
% 174.28/26.63 | | | | | | | | | | | | | | | (10188) op(e1, e0) = all_42_1
% 174.28/26.63 | | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_13, all_65_46,
% 174.28/26.63 | | | | | | | | | | | | | | | all_42_1, e1, simplifying with (10186), (10187)
% 174.28/26.63 | | | | | | | | | | | | | | | gives:
% 174.28/26.63 | | | | | | | | | | | | | | | (10189) all_65_46 = all_61_13
% 174.28/26.63 | | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_34, all_61_1,
% 174.28/26.63 | | | | | | | | | | | | | | | all_61_8, e1, simplifying with (734), (10185)
% 174.28/26.63 | | | | | | | | | | | | | | | gives:
% 174.28/26.63 | | | | | | | | | | | | | | | (10190) all_65_34 = all_61_1
% 174.28/26.63 | | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_7, all_65_46, e1,
% 174.28/26.63 | | | | | | | | | | | | | | | all_42_1, simplifying with (10183), (10184) gives:
% 174.28/26.63 | | | | | | | | | | | | | | | (10191) all_65_46 = all_61_7
% 174.28/26.63 | | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_4, all_65_34, e1,
% 174.28/26.63 | | | | | | | | | | | | | | | all_61_8, simplifying with (5828), (10182) gives:
% 174.28/26.63 | | | | | | | | | | | | | | | (10192) all_65_34 = all_61_4
% 174.28/26.63 | | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | | COMBINE_EQS: (10190), (10192) imply:
% 174.28/26.63 | | | | | | | | | | | | | | | (10193) all_61_1 = all_61_4
% 174.28/26.63 | | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | | SIMP: (10193) implies:
% 174.28/26.63 | | | | | | | | | | | | | | | (10194) all_61_1 = all_61_4
% 174.28/26.63 | | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | | COMBINE_EQS: (10189), (10191) imply:
% 174.28/26.63 | | | | | | | | | | | | | | | (10195) all_61_7 = all_61_13
% 174.28/26.63 | | | | | | | | | | | | | | |
% 174.28/26.63 | | | | | | | | | | | | | | | COMBINE_EQS: (508), (10195) imply:
% 174.28/26.64 | | | | | | | | | | | | | | | (10196) all_63_13 = all_61_13
% 174.28/26.64 | | | | | | | | | | | | | | |
% 174.28/26.64 | | | | | | | | | | | | | | | REDUCE: (10008), (10194) imply:
% 174.28/26.64 | | | | | | | | | | | | | | | (10197) ~ (all_61_4 = e0)
% 174.28/26.64 | | | | | | | | | | | | | | |
% 174.28/26.64 | | | | | | | | | | | | | | | REDUCE: (202), (10195) imply:
% 174.28/26.64 | | | | | | | | | | | | | | | (10198) ~ (all_61_4 = all_61_13)
% 174.28/26.64 | | | | | | | | | | | | | | |
% 174.28/26.64 | | | | | | | | | | | | | | | REDUCE: (10176), (10195) imply:
% 174.28/26.64 | | | | | | | | | | | | | | | (10199) ~ (all_61_13 = all_42_1)
% 174.28/26.64 | | | | | | | | | | | | | | |
% 174.28/26.64 | | | | | | | | | | | | | | | BETA: splitting (157) gives:
% 174.28/26.64 | | | | | | | | | | | | | | |
% 174.28/26.64 | | | | | | | | | | | | | | | Case 1:
% 174.28/26.64 | | | | | | | | | | | | | | | |
% 174.28/26.64 | | | | | | | | | | | | | | | | (10200) ~ (all_58_3 = e1)
% 174.28/26.64 | | | | | | | | | | | | | | | |
% 174.28/26.64 | | | | | | | | | | | | | | | | REDUCE: (475), (10200) imply:
% 174.28/26.64 | | | | | | | | | | | | | | | | (10201) ~ (all_52_3 = e1)
% 174.28/26.64 | | | | | | | | | | | | | | | |
% 174.28/26.64 | | | | | | | | | | | | | | | | BETA: splitting (161) gives:
% 174.28/26.64 | | | | | | | | | | | | | | | |
% 174.28/26.64 | | | | | | | | | | | | | | | | Case 1:
% 174.28/26.64 | | | | | | | | | | | | | | | | |
% 174.28/26.64 | | | | | | | | | | | | | | | | | (10202) ~ (all_58_2 = e2)
% 174.28/26.64 | | | | | | | | | | | | | | | | |
% 174.28/26.64 | | | | | | | | | | | | | | | | | REDUCE: (478), (10202) imply:
% 174.28/26.64 | | | | | | | | | | | | | | | | | (10203) ~ (all_52_2 = e2)
% 174.28/26.64 | | | | | | | | | | | | | | | | |
% 174.28/26.64 | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (9), (20), (50), (148), (149), (158),
% 174.28/26.64 | | | | | | | | | | | | | | | | | (159), (161), (164), (225), (231), (475), (478),
% 174.28/26.64 | | | | | | | | | | | | | | | | | (481), (484), (538), (539), (629), (633), (663),
% 174.28/26.64 | | | | | | | | | | | | | | | | | (728), (731), (748), (765), (5776), (5784),
% 174.28/26.64 | | | | | | | | | | | | | | | | | (9698), (9720), (9723), (10158), (10201), (10203)
% 174.28/26.64 | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #215.
% 174.28/26.64 | | | | | | | | | | | | | | | | |
% 174.28/26.64 | | | | | | | | | | | | | | | | Case 2:
% 174.28/26.64 | | | | | | | | | | | | | | | | |
% 174.28/26.64 | | | | | | | | | | | | | | | | | (10204) all_58_1 = e1
% 174.28/26.64 | | | | | | | | | | | | | | | | |
% 174.28/26.64 | | | | | | | | | | | | | | | | | COMBINE_EQS: (481), (10204) imply:
% 174.28/26.64 | | | | | | | | | | | | | | | | | (10205) all_52_1 = e1
% 174.28/26.64 | | | | | | | | | | | | | | | | |
% 174.28/26.64 | | | | | | | | | | | | | | | | | SIMP: (10205) implies:
% 174.28/26.64 | | | | | | | | | | | | | | | | | (10206) all_52_1 = e1
% 174.28/26.64 | | | | | | | | | | | | | | | | |
% 174.28/26.64 | | | | | | | | | | | | | | | | | REDUCE: (731), (10206) imply:
% 174.28/26.64 | | | | | | | | | | | | | | | | | (10207) op(e2, e1) = unit
% 174.28/26.64 | | | | | | | | | | | | | | | | |
% 174.28/26.64 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_10_1, unit, e1, e2,
% 174.28/26.64 | | | | | | | | | | | | | | | | | simplifying with (5838), (10207) gives:
% 174.28/26.64 | | | | | | | | | | | | | | | | | (10208) all_10_1 = unit
% 174.28/26.64 | | | | | | | | | | | | | | | | |
% 174.28/26.64 | | | | | | | | | | | | | | | | | COMBINE_EQS: (5809), (10208) imply:
% 174.28/26.64 | | | | | | | | | | | | | | | | | (10209) all_63_6 = unit
% 174.28/26.64 | | | | | | | | | | | | | | | | |
% 174.28/26.64 | | | | | | | | | | | | | | | | | REDUCE: (5817), (10208) imply:
% 174.28/26.64 | | | | | | | | | | | | | | | | | (10210) ~ (all_61_8 = unit)
% 174.28/26.64 | | | | | | | | | | | | | | | | |
% 174.28/26.64 | | | | | | | | | | | | | | | | | REDUCE: (5821), (10208) imply:
% 174.28/26.64 | | | | | | | | | | | | | | | | | (10211) ~ (all_61_13 = unit)
% 174.28/26.64 | | | | | | | | | | | | | | | | |
% 174.28/26.64 | | | | | | | | | | | | | | | | | REDUCE: (10179), (10208) imply:
% 174.28/26.64 | | | | | | | | | | | | | | | | | (10212) ~ (all_42_1 = unit)
% 174.28/26.64 | | | | | | | | | | | | | | | | |
% 174.28/26.64 | | | | | | | | | | | | | | | | | REDUCE: (5823), (10208) imply:
% 174.28/26.64 | | | | | | | | | | | | | | | | | (10213) ~ (unit = e2)
% 174.28/26.64 | | | | | | | | | | | | | | | | |
% 174.28/26.64 | | | | | | | | | | | | | | | | | REDUCE: (9691), (10208) imply:
% 174.28/26.64 | | | | | | | | | | | | | | | | | (10214) ~ (unit = e1)
% 174.28/26.64 | | | | | | | | | | | | | | | | |
% 174.28/26.64 | | | | | | | | | | | | | | | | | BETA: splitting (265) gives:
% 174.28/26.64 | | | | | | | | | | | | | | | | |
% 174.28/26.64 | | | | | | | | | | | | | | | | | Case 1:
% 174.28/26.64 | | | | | | | | | | | | | | | | | |
% 174.28/26.64 | | | | | | | | | | | | | | | | | | (10215) all_63_6 = e3
% 174.28/26.64 | | | | | | | | | | | | | | | | | |
% 174.28/26.64 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10209), (10215) imply:
% 174.28/26.64 | | | | | | | | | | | | | | | | | | (10216) unit = e3
% 174.28/26.64 | | | | | | | | | | | | | | | | | |
% 174.28/26.64 | | | | | | | | | | | | | | | | | | REDUCE: (851), (10216) imply:
% 174.28/26.64 | | | | | | | | | | | | | | | | | | (10217) $false
% 174.28/26.64 | | | | | | | | | | | | | | | | | |
% 174.28/26.64 | | | | | | | | | | | | | | | | | | CLOSE: (10217) is inconsistent.
% 174.28/26.64 | | | | | | | | | | | | | | | | | |
% 174.28/26.64 | | | | | | | | | | | | | | | | | Case 2:
% 174.28/26.64 | | | | | | | | | | | | | | | | | |
% 174.28/26.64 | | | | | | | | | | | | | | | | | | (10218) all_63_6 = e2 | all_63_6 = e1 | all_63_6 = e0
% 174.28/26.64 | | | | | | | | | | | | | | | | | |
% 174.28/26.64 | | | | | | | | | | | | | | | | | | BETA: splitting (10218) gives:
% 174.28/26.64 | | | | | | | | | | | | | | | | | |
% 174.28/26.64 | | | | | | | | | | | | | | | | | | Case 1:
% 174.28/26.64 | | | | | | | | | | | | | | | | | | |
% 174.28/26.64 | | | | | | | | | | | | | | | | | | | (10219) all_63_6 = e2
% 174.28/26.64 | | | | | | | | | | | | | | | | | | |
% 174.28/26.64 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10209), (10219) imply:
% 174.28/26.64 | | | | | | | | | | | | | | | | | | | (10220) unit = e2
% 174.28/26.64 | | | | | | | | | | | | | | | | | | |
% 174.28/26.64 | | | | | | | | | | | | | | | | | | | REDUCE: (10213), (10220) imply:
% 174.28/26.64 | | | | | | | | | | | | | | | | | | | (10221) $false
% 174.28/26.64 | | | | | | | | | | | | | | | | | | |
% 174.28/26.64 | | | | | | | | | | | | | | | | | | | CLOSE: (10221) is inconsistent.
% 174.28/26.64 | | | | | | | | | | | | | | | | | | |
% 174.28/26.64 | | | | | | | | | | | | | | | | | | Case 2:
% 174.28/26.64 | | | | | | | | | | | | | | | | | | |
% 174.28/26.64 | | | | | | | | | | | | | | | | | | | (10222) all_63_6 = e1 | all_63_6 = e0
% 174.28/26.64 | | | | | | | | | | | | | | | | | | |
% 174.28/26.64 | | | | | | | | | | | | | | | | | | | BETA: splitting (10222) gives:
% 174.28/26.64 | | | | | | | | | | | | | | | | | | |
% 174.28/26.64 | | | | | | | | | | | | | | | | | | | Case 1:
% 174.28/26.64 | | | | | | | | | | | | | | | | | | | |
% 174.28/26.64 | | | | | | | | | | | | | | | | | | | | (10223) all_63_6 = e1
% 174.28/26.64 | | | | | | | | | | | | | | | | | | | |
% 174.28/26.64 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10209), (10223) imply:
% 174.28/26.64 | | | | | | | | | | | | | | | | | | | | (10224) unit = e1
% 174.28/26.64 | | | | | | | | | | | | | | | | | | | |
% 174.28/26.64 | | | | | | | | | | | | | | | | | | | | REDUCE: (10214), (10224) imply:
% 174.28/26.64 | | | | | | | | | | | | | | | | | | | | (10225) $false
% 174.28/26.64 | | | | | | | | | | | | | | | | | | | |
% 174.28/26.64 | | | | | | | | | | | | | | | | | | | | CLOSE: (10225) is inconsistent.
% 174.28/26.64 | | | | | | | | | | | | | | | | | | | |
% 174.28/26.64 | | | | | | | | | | | | | | | | | | | Case 2:
% 174.28/26.64 | | | | | | | | | | | | | | | | | | | |
% 174.28/26.64 | | | | | | | | | | | | | | | | | | | | (10226) all_63_6 = e0
% 174.28/26.64 | | | | | | | | | | | | | | | | | | | |
% 174.28/26.64 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10209), (10226) imply:
% 174.28/26.64 | | | | | | | | | | | | | | | | | | | | (10227) unit = e0
% 174.28/26.64 | | | | | | | | | | | | | | | | | | | |
% 174.28/26.64 | | | | | | | | | | | | | | | | | | | | REDUCE: (10211), (10227) imply:
% 174.28/26.64 | | | | | | | | | | | | | | | | | | | | (10228) ~ (all_61_13 = e0)
% 174.28/26.64 | | | | | | | | | | | | | | | | | | | |
% 174.28/26.64 | | | | | | | | | | | | | | | | | | | | REDUCE: (10212), (10227) imply:
% 174.28/26.64 | | | | | | | | | | | | | | | | | | | | (10229) ~ (all_42_1 = e0)
% 174.28/26.64 | | | | | | | | | | | | | | | | | | | |
% 174.28/26.64 | | | | | | | | | | | | | | | | | | | | BETA: splitting (257) gives:
% 174.28/26.64 | | | | | | | | | | | | | | | | | | | |
% 174.28/26.64 | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.28/26.64 | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.64 | | | | | | | | | | | | | | | | | | | | | (10230) all_63_14 = e3
% 174.28/26.64 | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.64 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10174), (10230) imply:
% 174.28/26.64 | | | | | | | | | | | | | | | | | | | | | (10231) all_42_1 = e3
% 174.28/26.64 | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.64 | | | | | | | | | | | | | | | | | | | | | REDUCE: (10177), (10231) imply:
% 174.28/26.64 | | | | | | | | | | | | | | | | | | | | | (10232) ~ (all_61_8 = e3)
% 174.28/26.64 | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.64 | | | | | | | | | | | | | | | | | | | | | REDUCE: (10199), (10231) imply:
% 174.28/26.64 | | | | | | | | | | | | | | | | | | | | | (10233) ~ (all_61_13 = e3)
% 174.28/26.64 | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.64 | | | | | | | | | | | | | | | | | | | | | REDUCE: (10178), (10231) imply:
% 174.28/26.64 | | | | | | | | | | | | | | | | | | | | | (10234) ~ (all_36_1 = e3)
% 174.28/26.64 | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.64 | | | | | | | | | | | | | | | | | | | | | SIMP: (10234) implies:
% 174.28/26.64 | | | | | | | | | | | | | | | | | | | | | (10235) ~ (all_36_1 = e3)
% 174.28/26.64 | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.64 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (258) gives:
% 174.28/26.64 | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.64 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.28/26.64 | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.64 | | | | | | | | | | | | | | | | | | | | | | (10236) all_63_13 = e3
% 174.28/26.64 | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.64 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10196), (10236) imply:
% 174.28/26.64 | | | | | | | | | | | | | | | | | | | | | | (10237) all_61_13 = e3
% 174.28/26.64 | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.64 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10233), (10237) imply:
% 174.28/26.64 | | | | | | | | | | | | | | | | | | | | | | (10238) $false
% 174.28/26.64 | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.64 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (10238) is inconsistent.
% 174.28/26.64 | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.64 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.28/26.64 | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.64 | | | | | | | | | | | | | | | | | | | | | | (10239) ~ (all_63_13 = e3)
% 174.28/26.64 | | | | | | | | | | | | | | | | | | | | | | (10240) all_63_13 = e2 | all_63_13 = e1 | all_63_13 = e0
% 174.28/26.64 | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.64 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10240) gives:
% 174.28/26.64 | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.64 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.28/26.64 | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.64 | | | | | | | | | | | | | | | | | | | | | | | (10241) all_63_13 = e2
% 174.28/26.64 | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.64 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10196), (10241) imply:
% 174.28/26.64 | | | | | | | | | | | | | | | | | | | | | | | (10242) all_61_13 = e2
% 174.28/26.64 | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.64 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10046), (10242) imply:
% 174.28/26.64 | | | | | | | | | | | | | | | | | | | | | | | (10243) ~ (all_36_1 = e2)
% 174.28/26.64 | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.64 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10243) implies:
% 174.28/26.64 | | | | | | | | | | | | | | | | | | | | | | | (10244) ~ (all_36_1 = e2)
% 174.28/26.64 | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.64 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (259), (269), (489), (5773), (10009), (10039),
% 174.28/26.64 | | | | | | | | | | | | | | | | | | | | | | | (10044), (10050), (10232), (10235), (10244) are
% 174.28/26.64 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #247.
% 174.28/26.64 | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.64 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.28/26.64 | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.64 | | | | | | | | | | | | | | | | | | | | | | | (10245) ~ (all_63_13 = e2)
% 174.28/26.64 | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.64 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10196), (10245) imply:
% 174.28/26.64 | | | | | | | | | | | | | | | | | | | | | | | (10246) ~ (all_61_13 = e2)
% 174.28/26.64 | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.64 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (264), (498), (9690), (10228), (10233), (10246)
% 174.28/26.64 | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #473.
% 174.28/26.64 | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.64 | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.28/26.64 | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.64 | | | | | | | | | | | | | | | | | | | | | End of split
% 174.28/26.64 | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.64 | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.28/26.64 | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.64 | | | | | | | | | | | | | | | | | | | | | (10247) ~ (all_63_14 = e3)
% 174.28/26.64 | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.64 | | | | | | | | | | | | | | | | | | | | | REDUCE: (10174), (10247) imply:
% 174.28/26.64 | | | | | | | | | | | | | | | | | | | | | (10248) ~ (all_42_1 = e3)
% 174.28/26.64 | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.64 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (260), (10175), (10180), (10181), (10229), (10248)
% 174.28/26.64 | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #449.
% 174.28/26.64 | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.64 | | | | | | | | | | | | | | | | | | | | End of split
% 174.28/26.64 | | | | | | | | | | | | | | | | | | | |
% 174.28/26.64 | | | | | | | | | | | | | | | | | | | End of split
% 174.28/26.64 | | | | | | | | | | | | | | | | | | |
% 174.28/26.64 | | | | | | | | | | | | | | | | | | End of split
% 174.28/26.64 | | | | | | | | | | | | | | | | | |
% 174.28/26.64 | | | | | | | | | | | | | | | | | End of split
% 174.28/26.64 | | | | | | | | | | | | | | | | |
% 174.28/26.64 | | | | | | | | | | | | | | | | End of split
% 174.28/26.64 | | | | | | | | | | | | | | | |
% 174.28/26.64 | | | | | | | | | | | | | | | Case 2:
% 174.28/26.64 | | | | | | | | | | | | | | | |
% 174.28/26.64 | | | | | | | | | | | | | | | | (10249) all_58_2 = e0
% 174.28/26.64 | | | | | | | | | | | | | | | |
% 174.28/26.64 | | | | | | | | | | | | | | | | COMBINE_EQS: (478), (10249) imply:
% 174.28/26.64 | | | | | | | | | | | | | | | | (10250) all_52_2 = e0
% 174.28/26.64 | | | | | | | | | | | | | | | |
% 174.28/26.64 | | | | | | | | | | | | | | | | SIMP: (10250) implies:
% 174.28/26.64 | | | | | | | | | | | | | | | | (10251) all_52_2 = e0
% 174.28/26.64 | | | | | | | | | | | | | | | |
% 174.28/26.64 | | | | | | | | | | | | | | | | REDUCE: (748), (10251) imply:
% 174.28/26.64 | | | | | | | | | | | | | | | | (10252) op(e1, e0) = unit
% 174.28/26.64 | | | | | | | | | | | | | | | |
% 174.28/26.64 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_42_1, unit, e0, e1,
% 174.28/26.64 | | | | | | | | | | | | | | | | simplifying with (10188), (10252) gives:
% 174.28/26.64 | | | | | | | | | | | | | | | | (10253) all_42_1 = unit
% 174.28/26.64 | | | | | | | | | | | | | | | |
% 174.28/26.64 | | | | | | | | | | | | | | | | REDUCE: (10199), (10253) imply:
% 174.28/26.64 | | | | | | | | | | | | | | | | (10254) ~ (all_61_13 = unit)
% 174.28/26.64 | | | | | | | | | | | | | | | |
% 174.28/26.64 | | | | | | | | | | | | | | | | REDUCE: (10179), (10253) imply:
% 174.28/26.64 | | | | | | | | | | | | | | | | (10255) ~ (all_10_1 = unit)
% 174.28/26.64 | | | | | | | | | | | | | | | |
% 174.28/26.64 | | | | | | | | | | | | | | | | SIMP: (10255) implies:
% 174.28/26.64 | | | | | | | | | | | | | | | | (10256) ~ (all_10_1 = unit)
% 174.28/26.64 | | | | | | | | | | | | | | | |
% 174.28/26.64 | | | | | | | | | | | | | | | | REDUCE: (10180), (10253) imply:
% 174.28/26.64 | | | | | | | | | | | | | | | | (10257) ~ (unit = e2)
% 174.28/26.64 | | | | | | | | | | | | | | | |
% 174.28/26.64 | | | | | | | | | | | | | | | | REDUCE: (10181), (10253) imply:
% 174.28/26.64 | | | | | | | | | | | | | | | | (10258) ~ (unit = e1)
% 174.28/26.64 | | | | | | | | | | | | | | | |
% 174.28/26.64 | | | | | | | | | | | | | | | | BETA: splitting (852) gives:
% 174.28/26.64 | | | | | | | | | | | | | | | |
% 174.28/26.64 | | | | | | | | | | | | | | | | Case 1:
% 174.28/26.64 | | | | | | | | | | | | | | | | |
% 174.28/26.64 | | | | | | | | | | | | | | | | | (10259) unit = e2
% 174.28/26.64 | | | | | | | | | | | | | | | | |
% 174.28/26.64 | | | | | | | | | | | | | | | | | REDUCE: (10257), (10259) imply:
% 174.28/26.64 | | | | | | | | | | | | | | | | | (10260) $false
% 174.28/26.64 | | | | | | | | | | | | | | | | |
% 174.28/26.64 | | | | | | | | | | | | | | | | | CLOSE: (10260) is inconsistent.
% 174.28/26.64 | | | | | | | | | | | | | | | | |
% 174.28/26.64 | | | | | | | | | | | | | | | | Case 2:
% 174.28/26.64 | | | | | | | | | | | | | | | | |
% 174.28/26.64 | | | | | | | | | | | | | | | | | (10261) unit = e1 | unit = e0
% 174.28/26.64 | | | | | | | | | | | | | | | | |
% 174.28/26.64 | | | | | | | | | | | | | | | | | BETA: splitting (10261) gives:
% 174.28/26.64 | | | | | | | | | | | | | | | | |
% 174.28/26.64 | | | | | | | | | | | | | | | | | Case 1:
% 174.28/26.64 | | | | | | | | | | | | | | | | | |
% 174.28/26.64 | | | | | | | | | | | | | | | | | | (10262) unit = e1
% 174.28/26.64 | | | | | | | | | | | | | | | | | |
% 174.28/26.64 | | | | | | | | | | | | | | | | | | REDUCE: (10258), (10262) imply:
% 174.28/26.64 | | | | | | | | | | | | | | | | | | (10263) $false
% 174.28/26.64 | | | | | | | | | | | | | | | | | |
% 174.28/26.64 | | | | | | | | | | | | | | | | | | CLOSE: (10263) is inconsistent.
% 174.28/26.64 | | | | | | | | | | | | | | | | | |
% 174.28/26.64 | | | | | | | | | | | | | | | | | Case 2:
% 174.28/26.64 | | | | | | | | | | | | | | | | | |
% 174.28/26.64 | | | | | | | | | | | | | | | | | | (10264) unit = e0
% 174.28/26.64 | | | | | | | | | | | | | | | | | |
% 174.28/26.64 | | | | | | | | | | | | | | | | | | REDUCE: (10254), (10264) imply:
% 174.28/26.64 | | | | | | | | | | | | | | | | | | (10265) ~ (all_61_13 = e0)
% 174.28/26.64 | | | | | | | | | | | | | | | | | |
% 174.28/26.64 | | | | | | | | | | | | | | | | | | REDUCE: (10256), (10264) imply:
% 174.28/26.64 | | | | | | | | | | | | | | | | | | (10266) ~ (all_10_1 = e0)
% 174.28/26.64 | | | | | | | | | | | | | | | | | |
% 174.28/26.64 | | | | | | | | | | | | | | | | | | REF_CLOSE: (264), (265), (270), (488), (498), (5809), (5812),
% 174.28/26.64 | | | | | | | | | | | | | | | | | | (5821), (5823), (9688), (9690), (9691), (10197),
% 174.28/26.64 | | | | | | | | | | | | | | | | | | (10198), (10265), (10266) are inconsistent by
% 174.28/26.64 | | | | | | | | | | | | | | | | | | sub-proof #225.
% 174.28/26.64 | | | | | | | | | | | | | | | | | |
% 174.28/26.64 | | | | | | | | | | | | | | | | | End of split
% 174.28/26.64 | | | | | | | | | | | | | | | | |
% 174.28/26.64 | | | | | | | | | | | | | | | | End of split
% 174.28/26.64 | | | | | | | | | | | | | | | |
% 174.28/26.64 | | | | | | | | | | | | | | | End of split
% 174.28/26.64 | | | | | | | | | | | | | | |
% 174.28/26.64 | | | | | | | | | | | | | | End of split
% 174.28/26.64 | | | | | | | | | | | | | |
% 174.28/26.64 | | | | | | | | | | | | | End of split
% 174.28/26.64 | | | | | | | | | | | | |
% 174.28/26.64 | | | | | | | | | | | | End of split
% 174.28/26.64 | | | | | | | | | | | |
% 174.28/26.64 | | | | | | | | | | | Case 2:
% 174.28/26.64 | | | | | | | | | | | |
% 174.28/26.64 | | | | | | | | | | | | (10267) all_28_2 = e3
% 174.28/26.64 | | | | | | | | | | | | (10268) op(e0, e3) = all_28_1 & $i(all_28_1) & ( ~
% 174.28/26.64 | | | | | | | | | | | | (all_28_1 = e2) | ( ~ (all_28_0 = e1) & op(e2,
% 174.28/26.64 | | | | | | | | | | | | e0) = all_28_0 & $i(all_28_0)))
% 174.28/26.64 | | | | | | | | | | | |
% 174.28/26.64 | | | | | | | | | | | | ALPHA: (10268) implies:
% 174.28/26.64 | | | | | | | | | | | | (10269) op(e0, e3) = all_28_1
% 174.28/26.64 | | | | | | | | | | | |
% 174.28/26.64 | | | | | | | | | | | | COMBINE_EQS: (563), (10267) imply:
% 174.28/26.64 | | | | | | | | | | | | (10270) all_20_2 = e3
% 174.28/26.64 | | | | | | | | | | | |
% 174.28/26.64 | | | | | | | | | | | | SIMP: (10270) implies:
% 174.28/26.64 | | | | | | | | | | | | (10271) all_20_2 = e3
% 174.28/26.64 | | | | | | | | | | | |
% 174.28/26.64 | | | | | | | | | | | | COMBINE_EQS: (555), (10271) imply:
% 174.28/26.64 | | | | | | | | | | | | (10272) all_34_2 = e3
% 174.28/26.64 | | | | | | | | | | | |
% 174.28/26.64 | | | | | | | | | | | | REDUCE: (617), (10271) imply:
% 174.28/26.64 | | | | | | | | | | | | (10273) ~ (all_61_7 = e3)
% 174.28/26.64 | | | | | | | | | | | |
% 174.28/26.64 | | | | | | | | | | | | REDUCE: (624), (10271) imply:
% 174.28/26.64 | | | | | | | | | | | | (10274) ~ (all_61_11 = e3)
% 174.28/26.64 | | | | | | | | | | | |
% 174.28/26.64 | | | | | | | | | | | | REDUCE: (625), (10271) imply:
% 174.28/26.64 | | | | | | | | | | | | (10275) ~ (all_61_12 = e3)
% 174.28/26.64 | | | | | | | | | | | |
% 174.28/26.64 | | | | | | | | | | | | REDUCE: (694), (10271) imply:
% 174.28/26.64 | | | | | | | | | | | | (10276) op(e3, e3) = all_65_73
% 174.28/26.64 | | | | | | | | | | | |
% 174.28/26.64 | | | | | | | | | | | | REDUCE: (695), (10271) imply:
% 174.28/26.64 | | | | | | | | | | | | (10277) op(e3, e2) = all_65_75
% 174.28/26.64 | | | | | | | | | | | |
% 174.28/26.64 | | | | | | | | | | | | REDUCE: (696), (10271) imply:
% 174.28/26.64 | | | | | | | | | | | | (10278) op(e3, e1) = all_65_77
% 174.28/26.64 | | | | | | | | | | | |
% 174.28/26.64 | | | | | | | | | | | | REDUCE: (697), (10271) imply:
% 174.28/26.64 | | | | | | | | | | | | (10279) op(e3, e0) = all_65_78
% 174.28/26.64 | | | | | | | | | | | |
% 174.28/26.64 | | | | | | | | | | | | REDUCE: (713), (10271) imply:
% 174.28/26.64 | | | | | | | | | | | | (10280) op(e3, e3) = all_65_15
% 174.28/26.64 | | | | | | | | | | | |
% 174.28/26.64 | | | | | | | | | | | | REDUCE: (730), (10271) imply:
% 174.28/26.64 | | | | | | | | | | | | (10281) op(e2, e3) = all_65_31
% 174.28/26.64 | | | | | | | | | | | |
% 174.28/26.64 | | | | | | | | | | | | REDUCE: (747), (10271) imply:
% 174.28/26.64 | | | | | | | | | | | | (10282) op(e1, e3) = all_65_47
% 174.28/26.64 | | | | | | | | | | | |
% 174.28/26.64 | | | | | | | | | | | | REDUCE: (764), (10271) imply:
% 174.28/26.64 | | | | | | | | | | | | (10283) op(e0, e3) = all_65_78
% 174.28/26.64 | | | | | | | | | | | |
% 174.28/26.64 | | | | | | | | | | | | REDUCE: (76), (10271) imply:
% 174.28/26.64 | | | | | | | | | | | | (10284) op(e0, e0) = e3
% 174.28/26.64 | | | | | | | | | | | |
% 174.28/26.64 | | | | | | | | | | | | BETA: splitting (98) gives:
% 174.28/26.64 | | | | | | | | | | | |
% 174.28/26.64 | | | | | | | | | | | | Case 1:
% 174.28/26.64 | | | | | | | | | | | | |
% 174.28/26.64 | | | | | | | | | | | | | (10285) ~ (all_34_2 = e3)
% 174.28/26.64 | | | | | | | | | | | | |
% 174.28/26.64 | | | | | | | | | | | | | REDUCE: (10272), (10285) imply:
% 174.28/26.64 | | | | | | | | | | | | | (10286) $false
% 174.28/26.64 | | | | | | | | | | | | |
% 174.28/26.64 | | | | | | | | | | | | | CLOSE: (10286) is inconsistent.
% 174.28/26.64 | | | | | | | | | | | | |
% 174.28/26.64 | | | | | | | | | | | | Case 2:
% 174.28/26.64 | | | | | | | | | | | | |
% 174.28/26.64 | | | | | | | | | | | | | (10287) op(e0, e3) = all_34_1 & $i(all_34_1) & ( ~
% 174.28/26.64 | | | | | | | | | | | | | (all_34_1 = e1) | ( ~ (all_34_0 = e2) & op(e1,
% 174.28/26.64 | | | | | | | | | | | | | e0) = all_34_0 & $i(all_34_0)))
% 174.28/26.64 | | | | | | | | | | | | |
% 174.28/26.64 | | | | | | | | | | | | | ALPHA: (10287) implies:
% 174.28/26.64 | | | | | | | | | | | | | (10288) op(e0, e3) = all_34_1
% 174.28/26.64 | | | | | | | | | | | | |
% 174.28/26.64 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_3, all_34_1, e3,
% 174.28/26.64 | | | | | | | | | | | | | e0, simplifying with (226), (10288) gives:
% 174.28/26.64 | | | | | | | | | | | | | (10289) all_61_3 = all_34_1
% 174.28/26.64 | | | | | | | | | | | | |
% 174.28/26.64 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_3, all_65_78, e3,
% 174.28/26.64 | | | | | | | | | | | | | e0, simplifying with (226), (10283) gives:
% 174.28/26.64 | | | | | | | | | | | | | (10290) all_65_78 = all_61_3
% 174.28/26.64 | | | | | | | | | | | | |
% 174.28/26.64 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_28_1, all_65_78, e3,
% 174.28/26.64 | | | | | | | | | | | | | e0, simplifying with (10269), (10283) gives:
% 174.28/26.64 | | | | | | | | | | | | | (10291) all_65_78 = all_28_1
% 174.28/26.64 | | | | | | | | | | | | |
% 174.28/26.64 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_2, all_65_47, e3,
% 174.28/26.64 | | | | | | | | | | | | | e1, simplifying with (230), (10282) gives:
% 174.28/26.64 | | | | | | | | | | | | | (10292) all_65_47 = all_61_2
% 174.28/26.64 | | | | | | | | | | | | |
% 174.28/26.64 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_1, all_65_31, e3,
% 174.28/26.64 | | | | | | | | | | | | | e2, simplifying with (234), (10281) gives:
% 174.28/26.64 | | | | | | | | | | | | | (10293) all_65_31 = all_61_1
% 174.28/26.64 | | | | | | | | | | | | |
% 174.28/26.64 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_12, all_65_78, e0,
% 174.28/26.64 | | | | | | | | | | | | | e3, simplifying with (235), (10279) gives:
% 174.28/26.64 | | | | | | | | | | | | | (10294) all_65_78 = all_61_12
% 174.28/26.64 | | | | | | | | | | | | |
% 174.28/26.64 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_8, all_65_77, e1,
% 174.28/26.64 | | | | | | | | | | | | | e3, simplifying with (236), (10278) gives:
% 174.28/26.64 | | | | | | | | | | | | | (10295) all_65_77 = all_61_8
% 174.28/26.64 | | | | | | | | | | | | |
% 174.28/26.64 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_4, all_65_75, e2,
% 174.28/26.64 | | | | | | | | | | | | | e3, simplifying with (237), (10277) gives:
% 174.28/26.64 | | | | | | | | | | | | | (10296) all_65_75 = all_61_4
% 174.28/26.64 | | | | | | | | | | | | |
% 174.28/26.64 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_14_2, all_65_15, e3,
% 174.28/26.64 | | | | | | | | | | | | | e3, simplifying with (67), (10280) gives:
% 174.28/26.64 | | | | | | | | | | | | | (10297) all_65_15 = all_14_2
% 174.28/26.64 | | | | | | | | | | | | |
% 174.28/26.64 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_73, all_65_15, e3,
% 174.28/26.64 | | | | | | | | | | | | | e3, simplifying with (10276), (10280) gives:
% 174.28/26.64 | | | | | | | | | | | | | (10298) all_65_15 = all_65_73
% 174.28/26.64 | | | | | | | | | | | | |
% 174.28/26.64 | | | | | | | | | | | | | COMBINE_EQS: (10297), (10298) imply:
% 174.28/26.64 | | | | | | | | | | | | | (10299) all_65_73 = all_14_2
% 174.28/26.64 | | | | | | | | | | | | |
% 174.28/26.64 | | | | | | | | | | | | | COMBINE_EQS: (10291), (10294) imply:
% 174.28/26.64 | | | | | | | | | | | | | (10300) all_61_12 = all_28_1
% 174.28/26.64 | | | | | | | | | | | | |
% 174.28/26.64 | | | | | | | | | | | | | SIMP: (10300) implies:
% 174.28/26.64 | | | | | | | | | | | | | (10301) all_61_12 = all_28_1
% 174.28/26.64 | | | | | | | | | | | | |
% 174.28/26.64 | | | | | | | | | | | | | COMBINE_EQS: (10290), (10291) imply:
% 174.28/26.64 | | | | | | | | | | | | | (10302) all_61_3 = all_28_1
% 174.28/26.64 | | | | | | | | | | | | |
% 174.28/26.64 | | | | | | | | | | | | | SIMP: (10302) implies:
% 174.28/26.64 | | | | | | | | | | | | | (10303) all_61_3 = all_28_1
% 174.28/26.64 | | | | | | | | | | | | |
% 174.28/26.64 | | | | | | | | | | | | | COMBINE_EQS: (10289), (10303) imply:
% 174.28/26.64 | | | | | | | | | | | | | (10304) all_34_1 = all_28_1
% 174.28/26.64 | | | | | | | | | | | | |
% 174.28/26.64 | | | | | | | | | | | | | COMBINE_EQS: (491), (10301) imply:
% 174.28/26.64 | | | | | | | | | | | | | (10305) all_63_3 = all_28_1
% 174.28/26.64 | | | | | | | | | | | | |
% 174.28/26.64 | | | | | | | | | | | | | REDUCE: (207), (10303) imply:
% 174.28/26.64 | | | | | | | | | | | | | (10306) ~ (all_61_7 = all_28_1)
% 174.28/26.64 | | | | | | | | | | | | |
% 174.28/26.64 | | | | | | | | | | | | | SIMP: (10306) implies:
% 174.28/26.64 | | | | | | | | | | | | | (10307) ~ (all_61_7 = all_28_1)
% 174.28/26.64 | | | | | | | | | | | | |
% 174.28/26.64 | | | | | | | | | | | | | REDUCE: (206), (10303) imply:
% 174.28/26.64 | | | | | | | | | | | | | (10308) ~ (all_61_11 = all_28_1)
% 174.28/26.64 | | | | | | | | | | | | |
% 174.28/26.64 | | | | | | | | | | | | | SIMP: (10308) implies:
% 174.28/26.64 | | | | | | | | | | | | | (10309) ~ (all_61_11 = all_28_1)
% 174.28/26.64 | | | | | | | | | | | | |
% 174.28/26.64 | | | | | | | | | | | | | REDUCE: (603), (10301) imply:
% 174.28/26.64 | | | | | | | | | | | | | (10310) ~ (all_28_1 = all_14_2)
% 174.28/26.64 | | | | | | | | | | | | |
% 174.28/26.64 | | | | | | | | | | | | | REDUCE: (10275), (10301) imply:
% 174.28/26.64 | | | | | | | | | | | | | (10311) ~ (all_28_1 = e3)
% 174.28/26.64 | | | | | | | | | | | | |
% 174.28/26.64 | | | | | | | | | | | | | REDUCE: (682), (10303) imply:
% 174.28/26.64 | | | | | | | | | | | | | (10312) op(all_28_1, e3) = all_65_49
% 174.28/26.64 | | | | | | | | | | | | |
% 174.28/26.64 | | | | | | | | | | | | | REDUCE: (646), (10301) imply:
% 174.28/26.64 | | | | | | | | | | | | | (10313) op(all_28_1, e3) = all_65_12
% 174.28/26.64 | | | | | | | | | | | | |
% 174.28/26.64 | | | | | | | | | | | | | REDUCE: (681), (10292) imply:
% 174.28/26.64 | | | | | | | | | | | | | (10314) op(all_61_14, e0) = all_61_2
% 174.28/26.64 | | | | | | | | | | | | |
% 174.28/26.64 | | | | | | | | | | | | | REDUCE: (710), (10303) imply:
% 174.28/26.64 | | | | | | | | | | | | | (10315) op(e3, all_28_1) = all_65_12
% 174.28/26.64 | | | | | | | | | | | | |
% 174.28/26.64 | | | | | | | | | | | | | REDUCE: (701), (10301) imply:
% 174.28/26.64 | | | | | | | | | | | | | (10316) op(e3, all_28_1) = all_65_3
% 174.28/26.64 | | | | | | | | | | | | |
% 174.28/26.64 | | | | | | | | | | | | | REDUCE: (763), (10295) imply:
% 174.28/26.64 | | | | | | | | | | | | | (10317) op(e0, all_61_11) = all_61_8
% 174.28/26.64 | | | | | | | | | | | | |
% 174.28/26.64 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_12, all_65_3,
% 174.28/26.64 | | | | | | | | | | | | | all_28_1, e3, simplifying with (10315), (10316)
% 174.28/26.64 | | | | | | | | | | | | | gives:
% 174.28/26.64 | | | | | | | | | | | | | (10318) all_65_3 = all_65_12
% 174.28/26.64 | | | | | | | | | | | | |
% 174.28/26.64 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_49, all_65_12, e3,
% 174.28/26.64 | | | | | | | | | | | | | all_28_1, simplifying with (10312), (10313) gives:
% 174.28/26.64 | | | | | | | | | | | | | (10319) all_65_12 = all_65_49
% 174.28/26.64 | | | | | | | | | | | | |
% 174.28/26.64 | | | | | | | | | | | | | COMBINE_EQS: (10318), (10319) imply:
% 174.28/26.64 | | | | | | | | | | | | | (10320) all_65_3 = all_65_49
% 174.28/26.64 | | | | | | | | | | | | |
% 174.28/26.64 | | | | | | | | | | | | | REDUCE: (637), (10320) imply:
% 174.28/26.64 | | | | | | | | | | | | | (10321) op(all_14_2, e0) = all_65_49
% 174.28/26.64 | | | | | | | | | | | | |
% 174.28/26.64 | | | | | | | | | | | | | BETA: splitting (101) gives:
% 174.28/26.64 | | | | | | | | | | | | |
% 174.28/26.64 | | | | | | | | | | | | | Case 1:
% 174.28/26.64 | | | | | | | | | | | | | |
% 174.28/26.64 | | | | | | | | | | | | | | (10322) ~ (all_36_2 = e0)
% 174.28/26.64 | | | | | | | | | | | | | |
% 174.28/26.64 | | | | | | | | | | | | | | REDUCE: (557), (10322) imply:
% 174.28/26.64 | | | | | | | | | | | | | | (10323) ~ (all_14_2 = e0)
% 174.28/26.64 | | | | | | | | | | | | | |
% 174.28/26.64 | | | | | | | | | | | | | | BETA: splitting (107) gives:
% 174.28/26.64 | | | | | | | | | | | | | |
% 174.28/26.64 | | | | | | | | | | | | | | Case 1:
% 174.28/26.64 | | | | | | | | | | | | | | |
% 174.28/26.64 | | | | | | | | | | | | | | | (10324) ~ (all_40_2 = e1)
% 174.28/26.64 | | | | | | | | | | | | | | |
% 174.28/26.64 | | | | | | | | | | | | | | | REDUCE: (553), (10324) imply:
% 174.28/26.64 | | | | | | | | | | | | | | | (10325) ~ (all_14_2 = e1)
% 174.28/26.64 | | | | | | | | | | | | | | |
% 174.28/26.65 | | | | | | | | | | | | | | | REF_CLOSE: (10), (50), (67), (151), (159), (162), (165),
% 174.28/26.65 | | | | | | | | | | | | | | | (166), (167), (168), (226), (230), (234), (235),
% 174.28/26.65 | | | | | | | | | | | | | | | (236), (237), (271), (475), (478), (481), (484),
% 174.28/26.65 | | | | | | | | | | | | | | | (534), (588), (599), (601), (603), (635), (636),
% 174.28/26.65 | | | | | | | | | | | | | | | (637), (638), (642), (646), (650), (666), (682),
% 174.28/26.65 | | | | | | | | | | | | | | | (698), (714), (715), (731), (732), (748), (749),
% 174.28/26.65 | | | | | | | | | | | | | | | (765), (851), (9725), (10323), (10325) are
% 174.28/26.65 | | | | | | | | | | | | | | | inconsistent by sub-proof #502.
% 174.28/26.65 | | | | | | | | | | | | | | |
% 174.28/26.65 | | | | | | | | | | | | | | Case 2:
% 174.28/26.65 | | | | | | | | | | | | | | |
% 174.28/26.65 | | | | | | | | | | | | | | | (10326) all_40_2 = e1
% 174.28/26.65 | | | | | | | | | | | | | | | (10327) op(e3, e1) = all_40_1 & $i(all_40_1) & ( ~
% 174.28/26.65 | | | | | | | | | | | | | | | (all_40_1 = e0) | ( ~ (all_40_0 = e2) & op(e0,
% 174.28/26.65 | | | | | | | | | | | | | | | e3) = all_40_0 & $i(all_40_0)))
% 174.28/26.65 | | | | | | | | | | | | | | |
% 174.28/26.65 | | | | | | | | | | | | | | | ALPHA: (10327) implies:
% 174.28/26.65 | | | | | | | | | | | | | | | (10328) op(e3, e1) = all_40_1
% 174.28/26.65 | | | | | | | | | | | | | | |
% 174.28/26.65 | | | | | | | | | | | | | | | COMBINE_EQS: (553), (10326) imply:
% 174.28/26.65 | | | | | | | | | | | | | | | (10329) all_14_2 = e1
% 174.28/26.65 | | | | | | | | | | | | | | |
% 174.28/26.65 | | | | | | | | | | | | | | | SIMP: (10329) implies:
% 174.28/26.65 | | | | | | | | | | | | | | | (10330) all_14_2 = e1
% 174.28/26.65 | | | | | | | | | | | | | | |
% 174.28/26.65 | | | | | | | | | | | | | | | COMBINE_EQS: (466), (10330) imply:
% 174.28/26.65 | | | | | | | | | | | | | | | (10331) all_48_2 = e1
% 174.28/26.65 | | | | | | | | | | | | | | |
% 174.28/26.65 | | | | | | | | | | | | | | | REDUCE: (601), (10330) imply:
% 174.28/26.65 | | | | | | | | | | | | | | | (10332) ~ (all_61_8 = e1)
% 174.28/26.65 | | | | | | | | | | | | | | |
% 174.28/26.65 | | | | | | | | | | | | | | | REDUCE: (634), (10330) imply:
% 174.28/26.65 | | | | | | | | | | | | | | | (10333) op(e1, e3) = all_65_0
% 174.28/26.65 | | | | | | | | | | | | | | |
% 174.28/26.65 | | | | | | | | | | | | | | | REDUCE: (636), (10330) imply:
% 174.28/26.65 | | | | | | | | | | | | | | | (10334) op(e1, e1) = all_65_2
% 174.28/26.65 | | | | | | | | | | | | | | |
% 174.28/26.65 | | | | | | | | | | | | | | | REDUCE: (10321), (10330) imply:
% 174.28/26.65 | | | | | | | | | | | | | | | (10335) op(e1, e0) = all_65_49
% 174.28/26.65 | | | | | | | | | | | | | | |
% 174.28/26.65 | | | | | | | | | | | | | | | REDUCE: (698), (10330) imply:
% 174.28/26.65 | | | | | | | | | | | | | | | (10336) op(e3, e1) = all_65_0
% 174.28/26.65 | | | | | | | | | | | | | | |
% 174.28/26.65 | | | | | | | | | | | | | | | REDUCE: (715), (10330) imply:
% 174.28/26.65 | | | | | | | | | | | | | | | (10337) op(e2, e1) = all_65_16
% 174.28/26.65 | | | | | | | | | | | | | | |
% 174.28/26.65 | | | | | | | | | | | | | | | REDUCE: (732), (10330) imply:
% 174.28/26.65 | | | | | | | | | | | | | | | (10338) op(e1, e1) = all_65_32
% 174.28/26.65 | | | | | | | | | | | | | | |
% 174.28/26.65 | | | | | | | | | | | | | | | REDUCE: (749), (10330) imply:
% 174.28/26.65 | | | | | | | | | | | | | | | (10339) op(e0, e1) = all_65_49
% 174.28/26.65 | | | | | | | | | | | | | | |
% 174.28/26.65 | | | | | | | | | | | | | | | BETA: splitting (119) gives:
% 174.28/26.65 | | | | | | | | | | | | | | |
% 174.28/26.65 | | | | | | | | | | | | | | | Case 1:
% 174.28/26.65 | | | | | | | | | | | | | | | |
% 174.28/26.65 | | | | | | | | | | | | | | | | (10340) ~ (all_48_2 = e1)
% 174.28/26.65 | | | | | | | | | | | | | | | |
% 174.28/26.65 | | | | | | | | | | | | | | | | REDUCE: (10331), (10340) imply:
% 174.28/26.65 | | | | | | | | | | | | | | | | (10341) $false
% 174.28/26.65 | | | | | | | | | | | | | | | |
% 174.28/26.65 | | | | | | | | | | | | | | | | CLOSE: (10341) is inconsistent.
% 174.28/26.65 | | | | | | | | | | | | | | | |
% 174.28/26.65 | | | | | | | | | | | | | | | Case 2:
% 174.28/26.65 | | | | | | | | | | | | | | | |
% 174.28/26.65 | | | | | | | | | | | | | | | | (10342) op(e3, e1) = all_48_1 & $i(all_48_1) & ( ~
% 174.28/26.65 | | | | | | | | | | | | | | | | (all_48_1 = e2) | ( ~ (all_48_0 = e0) & op(e2,
% 174.28/26.65 | | | | | | | | | | | | | | | | e3) = all_48_0 & $i(all_48_0)))
% 174.28/26.65 | | | | | | | | | | | | | | | |
% 174.28/26.65 | | | | | | | | | | | | | | | | ALPHA: (10342) implies:
% 174.28/26.65 | | | | | | | | | | | | | | | | (10343) op(e3, e1) = all_48_1
% 174.28/26.65 | | | | | | | | | | | | | | | |
% 174.28/26.65 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_11, all_65_49, e1,
% 174.28/26.65 | | | | | | | | | | | | | | | | e0, simplifying with (224), (10339) gives:
% 174.28/26.65 | | | | | | | | | | | | | | | | (10344) all_65_49 = all_61_11
% 174.28/26.65 | | | | | | | | | | | | | | | |
% 174.28/26.65 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_14, all_65_49, e0,
% 174.28/26.65 | | | | | | | | | | | | | | | | e1, simplifying with (227), (10335) gives:
% 174.28/26.65 | | | | | | | | | | | | | | | | (10345) all_65_49 = all_61_14
% 174.28/26.65 | | | | | | | | | | | | | | | |
% 174.28/26.65 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e2, all_65_2, e1, e1,
% 174.28/26.65 | | | | | | | | | | | | | | | | simplifying with (5784), (10334) gives:
% 174.28/26.65 | | | | | | | | | | | | | | | | (10346) all_65_2 = e2
% 174.28/26.65 | | | | | | | | | | | | | | | |
% 174.28/26.65 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_32, all_65_2, e1,
% 174.28/26.65 | | | | | | | | | | | | | | | | e1, simplifying with (10334), (10338) gives:
% 174.28/26.65 | | | | | | | | | | | | | | | | (10347) all_65_2 = all_65_32
% 174.28/26.65 | | | | | | | | | | | | | | | |
% 174.28/26.65 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_2, all_65_0, e3,
% 174.28/26.65 | | | | | | | | | | | | | | | | e1, simplifying with (230), (10333) gives:
% 174.28/26.65 | | | | | | | | | | | | | | | | (10348) all_65_0 = all_61_2
% 174.28/26.65 | | | | | | | | | | | | | | | |
% 174.28/26.65 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_10_1, all_65_16, e1,
% 174.28/26.65 | | | | | | | | | | | | | | | | e2, simplifying with (5838), (10337) gives:
% 174.28/26.65 | | | | | | | | | | | | | | | | (10349) all_65_16 = all_10_1
% 174.28/26.65 | | | | | | | | | | | | | | | |
% 174.28/26.65 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_8, all_48_1, e1,
% 174.28/26.65 | | | | | | | | | | | | | | | | e3, simplifying with (236), (10343) gives:
% 174.28/26.65 | | | | | | | | | | | | | | | | (10350) all_61_8 = all_48_1
% 174.28/26.65 | | | | | | | | | | | | | | | |
% 174.28/26.65 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_8, all_65_0, e1,
% 174.28/26.65 | | | | | | | | | | | | | | | | e3, simplifying with (236), (10336) gives:
% 174.28/26.65 | | | | | | | | | | | | | | | | (10351) all_65_0 = all_61_8
% 174.28/26.65 | | | | | | | | | | | | | | | |
% 174.28/26.65 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_40_1, all_65_0, e1,
% 174.28/26.65 | | | | | | | | | | | | | | | | e3, simplifying with (10328), (10336) gives:
% 174.28/26.65 | | | | | | | | | | | | | | | | (10352) all_65_0 = all_40_1
% 174.28/26.65 | | | | | | | | | | | | | | | |
% 174.28/26.65 | | | | | | | | | | | | | | | | COMBINE_EQS: (10348), (10352) imply:
% 174.28/26.65 | | | | | | | | | | | | | | | | (10353) all_61_2 = all_40_1
% 174.28/26.65 | | | | | | | | | | | | | | | |
% 174.28/26.65 | | | | | | | | | | | | | | | | SIMP: (10353) implies:
% 174.28/26.65 | | | | | | | | | | | | | | | | (10354) all_61_2 = all_40_1
% 174.28/26.65 | | | | | | | | | | | | | | | |
% 174.28/26.65 | | | | | | | | | | | | | | | | COMBINE_EQS: (10351), (10352) imply:
% 174.28/26.65 | | | | | | | | | | | | | | | | (10355) all_61_8 = all_40_1
% 174.28/26.65 | | | | | | | | | | | | | | | |
% 174.28/26.65 | | | | | | | | | | | | | | | | SIMP: (10355) implies:
% 174.28/26.65 | | | | | | | | | | | | | | | | (10356) all_61_8 = all_40_1
% 174.28/26.65 | | | | | | | | | | | | | | | |
% 174.28/26.65 | | | | | | | | | | | | | | | | COMBINE_EQS: (10346), (10347) imply:
% 174.28/26.65 | | | | | | | | | | | | | | | | (10357) all_65_32 = e2
% 174.28/26.65 | | | | | | | | | | | | | | | |
% 174.28/26.65 | | | | | | | | | | | | | | | | COMBINE_EQS: (10344), (10345) imply:
% 174.28/26.65 | | | | | | | | | | | | | | | | (10358) all_61_11 = all_61_14
% 174.28/26.65 | | | | | | | | | | | | | | | |
% 174.28/26.65 | | | | | | | | | | | | | | | | SIMP: (10358) implies:
% 174.28/26.65 | | | | | | | | | | | | | | | | (10359) all_61_11 = all_61_14
% 174.28/26.65 | | | | | | | | | | | | | | | |
% 174.28/26.65 | | | | | | | | | | | | | | | | COMBINE_EQS: (10350), (10356) imply:
% 174.28/26.65 | | | | | | | | | | | | | | | | (10360) all_48_1 = all_40_1
% 174.28/26.65 | | | | | | | | | | | | | | | |
% 174.28/26.65 | | | | | | | | | | | | | | | | COMBINE_EQS: (499), (10354) imply:
% 174.28/26.65 | | | | | | | | | | | | | | | | (10361) all_63_8 = all_40_1
% 174.28/26.65 | | | | | | | | | | | | | | | |
% 174.28/26.65 | | | | | | | | | | | | | | | | REDUCE: (216), (10354) imply:
% 174.28/26.65 | | | | | | | | | | | | | | | | (10362) ~ (all_61_1 = all_40_1)
% 174.28/26.65 | | | | | | | | | | | | | | | |
% 174.28/26.65 | | | | | | | | | | | | | | | | REDUCE: (5817), (10356) imply:
% 174.28/26.65 | | | | | | | | | | | | | | | | (10363) ~ (all_40_1 = all_10_1)
% 174.28/26.65 | | | | | | | | | | | | | | | |
% 174.28/26.65 | | | | | | | | | | | | | | | | REDUCE: (5773), (10356) imply:
% 174.28/26.65 | | | | | | | | | | | | | | | | (10364) ~ (all_40_1 = e2)
% 174.28/26.65 | | | | | | | | | | | | | | | |
% 174.28/26.65 | | | | | | | | | | | | | | | | REDUCE: (10332), (10356) imply:
% 174.28/26.65 | | | | | | | | | | | | | | | | (10365) ~ (all_40_1 = e1)
% 174.28/26.65 | | | | | | | | | | | | | | | |
% 174.28/26.65 | | | | | | | | | | | | | | | | REDUCE: (668), (10354) imply:
% 174.28/26.65 | | | | | | | | | | | | | | | | (10366) op(all_40_1, e1) = all_65_34
% 174.28/26.65 | | | | | | | | | | | | | | | |
% 174.28/26.65 | | | | | | | | | | | | | | | | REDUCE: (9720), (10359) imply:
% 174.28/26.65 | | | | | | | | | | | | | | | | (10367) op(all_61_7, e2) = all_61_14
% 174.28/26.65 | | | | | | | | | | | | | | | |
% 174.28/26.65 | | | | | | | | | | | | | | | | REDUCE: (5828), (10356) imply:
% 174.28/26.65 | | | | | | | | | | | | | | | | (10368) op(all_40_1, e1) = all_61_4
% 174.28/26.65 | | | | | | | | | | | | | | | |
% 174.28/26.65 | | | | | | | | | | | | | | | | REDUCE: (5833), (10359) imply:
% 174.28/26.65 | | | | | | | | | | | | | | | | (10369) op(all_61_14, e1) = all_61_7
% 174.28/26.65 | | | | | | | | | | | | | | | |
% 174.28/26.65 | | | | | | | | | | | | | | | | REDUCE: (5839), (10354) imply:
% 174.28/26.65 | | | | | | | | | | | | | | | | (10370) op(e1, all_40_1) = all_61_1
% 174.28/26.65 | | | | | | | | | | | | | | | |
% 174.28/26.65 | | | | | | | | | | | | | | | | REDUCE: (734), (10356) imply:
% 174.28/26.65 | | | | | | | | | | | | | | | | (10371) op(e1, all_40_1) = all_65_34
% 174.28/26.65 | | | | | | | | | | | | | | | |
% 174.28/26.65 | | | | | | | | | | | | | | | | REDUCE: (746), (10359) imply:
% 174.28/26.65 | | | | | | | | | | | | | | | | (10372) op(e1, all_61_14) = all_65_46
% 174.28/26.65 | | | | | | | | | | | | | | | |
% 174.28/26.65 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_1, all_65_34,
% 174.28/26.65 | | | | | | | | | | | | | | | | all_40_1, e1, simplifying with (10370), (10371)
% 174.28/26.65 | | | | | | | | | | | | | | | | gives:
% 174.28/26.65 | | | | | | | | | | | | | | | | (10373) all_65_34 = all_61_1
% 174.28/26.65 | | | | | | | | | | | | | | | |
% 174.28/26.65 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_13, all_65_46,
% 174.28/26.65 | | | | | | | | | | | | | | | | all_61_14, e1, simplifying with (5840), (10372)
% 174.28/26.65 | | | | | | | | | | | | | | | | gives:
% 174.28/26.65 | | | | | | | | | | | | | | | | (10374) all_65_46 = all_61_13
% 174.28/26.65 | | | | | | | | | | | | | | | |
% 174.28/26.65 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_4, all_65_34, e1,
% 174.28/26.65 | | | | | | | | | | | | | | | | all_40_1, simplifying with (10366), (10368) gives:
% 174.28/26.65 | | | | | | | | | | | | | | | | (10375) all_65_34 = all_61_4
% 174.28/26.65 | | | | | | | | | | | | | | | |
% 174.28/26.65 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_46, all_61_7, e1,
% 174.28/26.65 | | | | | | | | | | | | | | | | all_61_14, simplifying with (680), (10369) gives:
% 174.28/26.65 | | | | | | | | | | | | | | | | (10376) all_65_46 = all_61_7
% 174.28/26.65 | | | | | | | | | | | | | | | |
% 174.28/26.65 | | | | | | | | | | | | | | | | COMBINE_EQS: (10373), (10375) imply:
% 174.28/26.65 | | | | | | | | | | | | | | | | (10377) all_61_1 = all_61_4
% 174.28/26.65 | | | | | | | | | | | | | | | |
% 174.28/26.65 | | | | | | | | | | | | | | | | SIMP: (10377) implies:
% 174.28/26.65 | | | | | | | | | | | | | | | | (10378) all_61_1 = all_61_4
% 174.28/26.65 | | | | | | | | | | | | | | | |
% 174.28/26.65 | | | | | | | | | | | | | | | | COMBINE_EQS: (10374), (10376) imply:
% 174.28/26.65 | | | | | | | | | | | | | | | | (10379) all_61_7 = all_61_13
% 174.28/26.65 | | | | | | | | | | | | | | | |
% 174.28/26.65 | | | | | | | | | | | | | | | | COMBINE_EQS: (508), (10379) imply:
% 174.28/26.65 | | | | | | | | | | | | | | | | (10380) all_63_13 = all_61_13
% 174.28/26.65 | | | | | | | | | | | | | | | |
% 174.28/26.65 | | | | | | | | | | | | | | | | REDUCE: (10362), (10378) imply:
% 174.28/26.65 | | | | | | | | | | | | | | | | (10381) ~ (all_61_4 = all_40_1)
% 174.28/26.65 | | | | | | | | | | | | | | | |
% 174.28/26.65 | | | | | | | | | | | | | | | | REDUCE: (202), (10379) imply:
% 174.28/26.65 | | | | | | | | | | | | | | | | (10382) ~ (all_61_4 = all_61_13)
% 174.28/26.65 | | | | | | | | | | | | | | | |
% 174.28/26.65 | | | | | | | | | | | | | | | | REDUCE: (10273), (10379) imply:
% 174.28/26.65 | | | | | | | | | | | | | | | | (10383) ~ (all_61_13 = e3)
% 174.28/26.65 | | | | | | | | | | | | | | | |
% 174.28/26.65 | | | | | | | | | | | | | | | | REDUCE: (10367), (10379) imply:
% 174.28/26.65 | | | | | | | | | | | | | | | | (10384) op(all_61_13, e2) = all_61_14
% 174.28/26.65 | | | | | | | | | | | | | | | |
% 174.28/26.65 | | | | | | | | | | | | | | | | REDUCE: (10369), (10379) imply:
% 174.28/26.65 | | | | | | | | | | | | | | | | (10385) op(all_61_14, e1) = all_61_13
% 174.28/26.65 | | | | | | | | | | | | | | | |
% 174.28/26.65 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_29, all_61_14, e2,
% 174.28/26.65 | | | | | | | | | | | | | | | | all_61_13, simplifying with (663), (10384) gives:
% 174.28/26.65 | | | | | | | | | | | | | | | | (10386) all_65_29 = all_61_14
% 174.28/26.65 | | | | | | | | | | | | | | | |
% 174.28/26.65 | | | | | | | | | | | | | | | | BETA: splitting (161) gives:
% 174.28/26.65 | | | | | | | | | | | | | | | |
% 174.28/26.65 | | | | | | | | | | | | | | | | Case 1:
% 174.28/26.65 | | | | | | | | | | | | | | | | |
% 174.28/26.65 | | | | | | | | | | | | | | | | | (10387) ~ (all_58_2 = e2)
% 174.28/26.65 | | | | | | | | | | | | | | | | |
% 174.28/26.65 | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (50), (148), (149), (150), (157), (158),
% 174.28/26.65 | | | | | | | | | | | | | | | | | (159), (163), (227), (231), (475), (478), (481),
% 174.28/26.65 | | | | | | | | | | | | | | | | | (484), (536), (538), (539), (628), (629), (631),
% 174.28/26.65 | | | | | | | | | | | | | | | | | (632), (633), (731), (748), (765), (851), (5776),
% 174.28/26.65 | | | | | | | | | | | | | | | | | (5784), (9690), (9698), (10284), (10384), (10385),
% 174.28/26.65 | | | | | | | | | | | | | | | | | (10387) are inconsistent by sub-proof #213.
% 174.28/26.65 | | | | | | | | | | | | | | | | |
% 174.28/26.65 | | | | | | | | | | | | | | | | Case 2:
% 174.28/26.65 | | | | | | | | | | | | | | | | |
% 174.28/26.65 | | | | | | | | | | | | | | | | | (10388) all_58_1 = e1
% 174.28/26.65 | | | | | | | | | | | | | | | | |
% 174.28/26.65 | | | | | | | | | | | | | | | | | COMBINE_EQS: (481), (10388) imply:
% 174.28/26.65 | | | | | | | | | | | | | | | | | (10389) all_52_1 = e1
% 174.28/26.65 | | | | | | | | | | | | | | | | |
% 174.28/26.65 | | | | | | | | | | | | | | | | | SIMP: (10389) implies:
% 174.28/26.65 | | | | | | | | | | | | | | | | | (10390) all_52_1 = e1
% 174.28/26.65 | | | | | | | | | | | | | | | | |
% 174.28/26.65 | | | | | | | | | | | | | | | | | REDUCE: (731), (10390) imply:
% 174.28/26.65 | | | | | | | | | | | | | | | | | (10391) op(e2, e1) = unit
% 174.28/26.65 | | | | | | | | | | | | | | | | |
% 174.28/26.65 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_10_1, unit, e1, e2,
% 174.28/26.65 | | | | | | | | | | | | | | | | | simplifying with (5838), (10391) gives:
% 174.28/26.65 | | | | | | | | | | | | | | | | | (10392) all_10_1 = unit
% 174.28/26.65 | | | | | | | | | | | | | | | | |
% 174.28/26.65 | | | | | | | | | | | | | | | | | REDUCE: (5812), (10392) imply:
% 174.28/26.65 | | | | | | | | | | | | | | | | | (10393) ~ (all_61_4 = unit)
% 174.28/26.65 | | | | | | | | | | | | | | | | |
% 174.28/26.65 | | | | | | | | | | | | | | | | | REDUCE: (5821), (10392) imply:
% 174.28/26.65 | | | | | | | | | | | | | | | | | (10394) ~ (all_61_13 = unit)
% 174.28/26.65 | | | | | | | | | | | | | | | | |
% 174.28/26.65 | | | | | | | | | | | | | | | | | REDUCE: (10363), (10392) imply:
% 174.28/26.65 | | | | | | | | | | | | | | | | | (10395) ~ (all_40_1 = unit)
% 174.28/26.65 | | | | | | | | | | | | | | | | |
% 174.28/26.65 | | | | | | | | | | | | | | | | | REDUCE: (5823), (10392) imply:
% 174.28/26.65 | | | | | | | | | | | | | | | | | (10396) ~ (unit = e2)
% 174.28/26.65 | | | | | | | | | | | | | | | | |
% 174.28/26.65 | | | | | | | | | | | | | | | | | REDUCE: (9691), (10392) imply:
% 174.28/26.65 | | | | | | | | | | | | | | | | | (10397) ~ (unit = e1)
% 174.28/26.65 | | | | | | | | | | | | | | | | |
% 174.28/26.65 | | | | | | | | | | | | | | | | | BETA: splitting (852) gives:
% 174.28/26.65 | | | | | | | | | | | | | | | | |
% 174.28/26.65 | | | | | | | | | | | | | | | | | Case 1:
% 174.28/26.65 | | | | | | | | | | | | | | | | | |
% 174.28/26.65 | | | | | | | | | | | | | | | | | | (10398) unit = e2
% 174.28/26.65 | | | | | | | | | | | | | | | | | |
% 174.28/26.65 | | | | | | | | | | | | | | | | | | REDUCE: (10396), (10398) imply:
% 174.28/26.65 | | | | | | | | | | | | | | | | | | (10399) $false
% 174.28/26.65 | | | | | | | | | | | | | | | | | |
% 174.28/26.65 | | | | | | | | | | | | | | | | | | CLOSE: (10399) is inconsistent.
% 174.28/26.65 | | | | | | | | | | | | | | | | | |
% 174.28/26.65 | | | | | | | | | | | | | | | | | Case 2:
% 174.28/26.65 | | | | | | | | | | | | | | | | | |
% 174.28/26.65 | | | | | | | | | | | | | | | | | | (10400) unit = e1 | unit = e0
% 174.28/26.65 | | | | | | | | | | | | | | | | | |
% 174.28/26.65 | | | | | | | | | | | | | | | | | | BETA: splitting (10400) gives:
% 174.28/26.65 | | | | | | | | | | | | | | | | | |
% 174.28/26.65 | | | | | | | | | | | | | | | | | | Case 1:
% 174.28/26.65 | | | | | | | | | | | | | | | | | | |
% 174.28/26.65 | | | | | | | | | | | | | | | | | | | (10401) unit = e1
% 174.28/26.65 | | | | | | | | | | | | | | | | | | |
% 174.28/26.65 | | | | | | | | | | | | | | | | | | | REDUCE: (10397), (10401) imply:
% 174.28/26.65 | | | | | | | | | | | | | | | | | | | (10402) $false
% 174.28/26.65 | | | | | | | | | | | | | | | | | | |
% 174.28/26.65 | | | | | | | | | | | | | | | | | | | CLOSE: (10402) is inconsistent.
% 174.28/26.65 | | | | | | | | | | | | | | | | | | |
% 174.28/26.65 | | | | | | | | | | | | | | | | | | Case 2:
% 174.28/26.65 | | | | | | | | | | | | | | | | | | |
% 174.28/26.65 | | | | | | | | | | | | | | | | | | | (10403) unit = e0
% 174.28/26.65 | | | | | | | | | | | | | | | | | | |
% 174.28/26.65 | | | | | | | | | | | | | | | | | | | REDUCE: (10393), (10403) imply:
% 174.28/26.65 | | | | | | | | | | | | | | | | | | | (10404) ~ (all_61_4 = e0)
% 174.28/26.65 | | | | | | | | | | | | | | | | | | |
% 174.28/26.65 | | | | | | | | | | | | | | | | | | | REDUCE: (10394), (10403) imply:
% 174.28/26.65 | | | | | | | | | | | | | | | | | | | (10405) ~ (all_61_13 = e0)
% 174.28/26.65 | | | | | | | | | | | | | | | | | | |
% 174.28/26.65 | | | | | | | | | | | | | | | | | | | REDUCE: (10395), (10403) imply:
% 174.28/26.65 | | | | | | | | | | | | | | | | | | | (10406) ~ (all_40_1 = e0)
% 174.28/26.65 | | | | | | | | | | | | | | | | | | |
% 174.28/26.65 | | | | | | | | | | | | | | | | | | | BETA: splitting (258) gives:
% 174.28/26.65 | | | | | | | | | | | | | | | | | | |
% 174.28/26.65 | | | | | | | | | | | | | | | | | | | Case 1:
% 174.28/26.65 | | | | | | | | | | | | | | | | | | | |
% 174.28/26.65 | | | | | | | | | | | | | | | | | | | | (10407) all_63_13 = e3
% 174.28/26.65 | | | | | | | | | | | | | | | | | | | |
% 174.28/26.65 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10380), (10407) imply:
% 174.28/26.65 | | | | | | | | | | | | | | | | | | | | (10408) all_61_13 = e3
% 174.28/26.65 | | | | | | | | | | | | | | | | | | | |
% 174.28/26.65 | | | | | | | | | | | | | | | | | | | | REDUCE: (10383), (10408) imply:
% 174.28/26.65 | | | | | | | | | | | | | | | | | | | | (10409) $false
% 174.28/26.65 | | | | | | | | | | | | | | | | | | | |
% 174.28/26.65 | | | | | | | | | | | | | | | | | | | | CLOSE: (10409) is inconsistent.
% 174.28/26.65 | | | | | | | | | | | | | | | | | | | |
% 174.28/26.65 | | | | | | | | | | | | | | | | | | | Case 2:
% 174.28/26.65 | | | | | | | | | | | | | | | | | | | |
% 174.28/26.65 | | | | | | | | | | | | | | | | | | | | (10410) ~ (all_63_13 = e3)
% 174.28/26.65 | | | | | | | | | | | | | | | | | | | | (10411) all_63_13 = e2 | all_63_13 = e1 | all_63_13 = e0
% 174.28/26.65 | | | | | | | | | | | | | | | | | | | |
% 174.28/26.65 | | | | | | | | | | | | | | | | | | | | BETA: splitting (263) gives:
% 174.28/26.65 | | | | | | | | | | | | | | | | | | | |
% 174.28/26.65 | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.28/26.65 | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.65 | | | | | | | | | | | | | | | | | | | | | (10412) all_63_8 = e3
% 174.28/26.65 | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.65 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10361), (10412) imply:
% 174.28/26.65 | | | | | | | | | | | | | | | | | | | | | (10413) all_40_1 = e3
% 174.28/26.65 | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.65 | | | | | | | | | | | | | | | | | | | | | REDUCE: (10381), (10413) imply:
% 174.28/26.65 | | | | | | | | | | | | | | | | | | | | | (10414) ~ (all_61_4 = e3)
% 174.28/26.65 | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.65 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10411) gives:
% 174.28/26.65 | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.65 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.28/26.65 | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.65 | | | | | | | | | | | | | | | | | | | | | | (10415) all_63_13 = e2
% 174.28/26.65 | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.65 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10380), (10415) imply:
% 174.28/26.65 | | | | | | | | | | | | | | | | | | | | | | (10416) all_61_13 = e2
% 174.28/26.65 | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.65 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10382), (10416) imply:
% 174.28/26.65 | | | | | | | | | | | | | | | | | | | | | | (10417) ~ (all_61_4 = e2)
% 174.28/26.65 | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.65 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (270), (488), (9688), (10404), (10414), (10417)
% 174.28/26.65 | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #418.
% 174.28/26.65 | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.65 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.28/26.65 | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.65 | | | | | | | | | | | | | | | | | | | | | | (10418) ~ (all_63_13 = e2)
% 174.28/26.65 | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.65 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10380), (10418) imply:
% 174.28/26.65 | | | | | | | | | | | | | | | | | | | | | | (10419) ~ (all_61_13 = e2)
% 174.28/26.65 | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.65 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (264), (498), (9690), (10383), (10405), (10419)
% 174.28/26.65 | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #473.
% 174.28/26.65 | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.65 | | | | | | | | | | | | | | | | | | | | | End of split
% 174.28/26.65 | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.65 | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.28/26.65 | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.65 | | | | | | | | | | | | | | | | | | | | | (10420) all_63_8 = e2 | all_63_8 = e1 | all_63_8 = e0
% 174.28/26.65 | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.65 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10361), (10364), (10365), (10406), (10420) are
% 174.28/26.65 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #487.
% 174.28/26.65 | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.65 | | | | | | | | | | | | | | | | | | | | End of split
% 174.28/26.65 | | | | | | | | | | | | | | | | | | | |
% 174.28/26.65 | | | | | | | | | | | | | | | | | | | End of split
% 174.28/26.65 | | | | | | | | | | | | | | | | | | |
% 174.28/26.65 | | | | | | | | | | | | | | | | | | End of split
% 174.28/26.65 | | | | | | | | | | | | | | | | | |
% 174.28/26.65 | | | | | | | | | | | | | | | | | End of split
% 174.28/26.65 | | | | | | | | | | | | | | | | |
% 174.28/26.65 | | | | | | | | | | | | | | | | End of split
% 174.28/26.65 | | | | | | | | | | | | | | | |
% 174.28/26.65 | | | | | | | | | | | | | | | End of split
% 174.28/26.65 | | | | | | | | | | | | | | |
% 174.28/26.65 | | | | | | | | | | | | | | End of split
% 174.28/26.65 | | | | | | | | | | | | | |
% 174.28/26.65 | | | | | | | | | | | | | Case 2:
% 174.28/26.65 | | | | | | | | | | | | | |
% 174.28/26.65 | | | | | | | | | | | | | | (10421) all_36_2 = e0
% 174.28/26.65 | | | | | | | | | | | | | |
% 174.28/26.65 | | | | | | | | | | | | | | COMBINE_EQS: (557), (10421) imply:
% 174.28/26.65 | | | | | | | | | | | | | | (10422) all_14_2 = e0
% 174.28/26.65 | | | | | | | | | | | | | |
% 174.28/26.65 | | | | | | | | | | | | | | SIMP: (10422) implies:
% 174.28/26.65 | | | | | | | | | | | | | | (10423) all_14_2 = e0
% 174.28/26.65 | | | | | | | | | | | | | |
% 174.28/26.65 | | | | | | | | | | | | | | REDUCE: (601), (10423) imply:
% 174.28/26.65 | | | | | | | | | | | | | | (10424) ~ (all_61_8 = e0)
% 174.28/26.65 | | | | | | | | | | | | | |
% 174.28/26.65 | | | | | | | | | | | | | | REDUCE: (10310), (10423) imply:
% 174.28/26.65 | | | | | | | | | | | | | | (10425) ~ (all_28_1 = e0)
% 174.28/26.65 | | | | | | | | | | | | | |
% 174.28/26.65 | | | | | | | | | | | | | | REDUCE: (635), (10423) imply:
% 174.28/26.65 | | | | | | | | | | | | | | (10426) op(e0, e2) = all_65_1
% 174.28/26.65 | | | | | | | | | | | | | |
% 174.28/26.65 | | | | | | | | | | | | | | REDUCE: (636), (10423) imply:
% 174.28/26.65 | | | | | | | | | | | | | | (10427) op(e0, e1) = all_65_2
% 174.28/26.65 | | | | | | | | | | | | | |
% 174.28/26.65 | | | | | | | | | | | | | | REDUCE: (715), (10423) imply:
% 174.28/26.65 | | | | | | | | | | | | | | (10428) op(e2, e0) = all_65_16
% 174.28/26.65 | | | | | | | | | | | | | |
% 174.28/26.65 | | | | | | | | | | | | | | REDUCE: (732), (10423) imply:
% 174.28/26.65 | | | | | | | | | | | | | | (10429) op(e1, e0) = all_65_32
% 174.28/26.65 | | | | | | | | | | | | | |
% 174.28/26.65 | | | | | | | | | | | | | | REDUCE: (749), (10423) imply:
% 174.28/26.65 | | | | | | | | | | | | | | (10430) op(e0, e0) = all_65_49
% 174.28/26.65 | | | | | | | | | | | | | |
% 174.28/26.65 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e3, all_65_49, e0, e0,
% 174.28/26.65 | | | | | | | | | | | | | | simplifying with (10284), (10430) gives:
% 174.28/26.65 | | | | | | | | | | | | | | (10431) all_65_49 = e3
% 174.28/26.65 | | | | | | | | | | | | | |
% 174.28/26.65 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_11, all_65_2, e1,
% 174.28/26.65 | | | | | | | | | | | | | | e0, simplifying with (224), (10427) gives:
% 174.28/26.65 | | | | | | | | | | | | | | (10432) all_65_2 = all_61_11
% 174.28/26.65 | | | | | | | | | | | | | |
% 174.28/26.65 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_7, all_65_1, e2,
% 174.28/26.65 | | | | | | | | | | | | | | e0, simplifying with (225), (10426) gives:
% 174.28/26.65 | | | | | | | | | | | | | | (10433) all_65_1 = all_61_7
% 174.28/26.65 | | | | | | | | | | | | | |
% 174.28/26.65 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_14, all_65_32, e0,
% 174.28/26.65 | | | | | | | | | | | | | | e1, simplifying with (227), (10429) gives:
% 174.28/26.65 | | | | | | | | | | | | | | (10434) all_65_32 = all_61_14
% 174.28/26.65 | | | | | | | | | | | | | |
% 174.28/26.65 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_13, all_65_16, e0,
% 174.28/26.65 | | | | | | | | | | | | | | e2, simplifying with (231), (10428) gives:
% 174.28/26.65 | | | | | | | | | | | | | | (10435) all_65_16 = all_61_13
% 174.28/26.65 | | | | | | | | | | | | | |
% 174.28/26.65 | | | | | | | | | | | | | | BETA: splitting (161) gives:
% 174.28/26.65 | | | | | | | | | | | | | |
% 174.28/26.65 | | | | | | | | | | | | | | Case 1:
% 174.28/26.65 | | | | | | | | | | | | | | |
% 174.28/26.65 | | | | | | | | | | | | | | | (10436) ~ (all_58_2 = e2)
% 174.28/26.65 | | | | | | | | | | | | | | |
% 174.28/26.65 | | | | | | | | | | | | | | | REDUCE: (478), (10436) imply:
% 174.28/26.65 | | | | | | | | | | | | | | | (10437) ~ (all_52_2 = e2)
% 174.28/26.65 | | | | | | | | | | | | | | |
% 174.28/26.65 | | | | | | | | | | | | | | | BETA: splitting (163) gives:
% 174.28/26.65 | | | | | | | | | | | | | | |
% 174.28/26.65 | | | | | | | | | | | | | | | Case 1:
% 174.28/26.65 | | | | | | | | | | | | | | | |
% 174.28/26.65 | | | | | | | | | | | | | | | | (10438) ~ (all_58_1 = e0)
% 174.28/26.65 | | | | | | | | | | | | | | | |
% 174.28/26.65 | | | | | | | | | | | | | | | | REDUCE: (481), (10438) imply:
% 174.28/26.65 | | | | | | | | | | | | | | | | (10439) ~ (all_52_1 = e0)
% 174.28/26.65 | | | | | | | | | | | | | | | |
% 174.28/26.65 | | | | | | | | | | | | | | | | BETA: splitting (158) gives:
% 174.28/26.65 | | | | | | | | | | | | | | | |
% 174.28/26.65 | | | | | | | | | | | | | | | | Case 1:
% 174.28/26.65 | | | | | | | | | | | | | | | | |
% 174.28/26.65 | | | | | | | | | | | | | | | | | (10440) ~ (all_58_3 = e2)
% 174.28/26.65 | | | | | | | | | | | | | | | | |
% 174.28/26.65 | | | | | | | | | | | | | | | | | REDUCE: (475), (10440) imply:
% 174.28/26.65 | | | | | | | | | | | | | | | | | (10441) ~ (all_52_3 = e2)
% 174.28/26.65 | | | | | | | | | | | | | | | | |
% 174.28/26.65 | | | | | | | | | | | | | | | | | BETA: splitting (160) gives:
% 174.28/26.65 | | | | | | | | | | | | | | | | |
% 174.28/26.65 | | | | | | | | | | | | | | | | | Case 1:
% 174.28/26.65 | | | | | | | | | | | | | | | | | |
% 174.28/26.65 | | | | | | | | | | | | | | | | | | (10442) ~ (all_58_2 = e0)
% 174.28/26.65 | | | | | | | | | | | | | | | | | |
% 174.28/26.65 | | | | | | | | | | | | | | | | | | REDUCE: (478), (10442) imply:
% 174.28/26.65 | | | | | | | | | | | | | | | | | | (10443) ~ (all_52_2 = e0)
% 174.28/26.65 | | | | | | | | | | | | | | | | | |
% 174.28/26.65 | | | | | | | | | | | | | | | | | | BETA: splitting (157) gives:
% 174.28/26.65 | | | | | | | | | | | | | | | | | |
% 174.28/26.65 | | | | | | | | | | | | | | | | | | Case 1:
% 174.28/26.65 | | | | | | | | | | | | | | | | | | |
% 174.28/26.65 | | | | | | | | | | | | | | | | | | | (10444) ~ (all_58_3 = e1)
% 174.28/26.65 | | | | | | | | | | | | | | | | | | |
% 174.28/26.65 | | | | | | | | | | | | | | | | | | | REDUCE: (475), (10444) imply:
% 174.28/26.65 | | | | | | | | | | | | | | | | | | | (10445) ~ (all_52_3 = e1)
% 174.28/26.65 | | | | | | | | | | | | | | | | | | |
% 174.28/26.65 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (50), (148), (149), (150), (159), (475), (484),
% 174.28/26.65 | | | | | | | | | | | | | | | | | | | (536), (538), (539), (628), (629), (631), (632),
% 174.28/26.65 | | | | | | | | | | | | | | | | | | | (633), (731), (748), (765), (851), (5784), (9698),
% 174.28/26.65 | | | | | | | | | | | | | | | | | | | (10284), (10437), (10441), (10445) are
% 174.28/26.65 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #214.
% 174.28/26.65 | | | | | | | | | | | | | | | | | | |
% 174.28/26.65 | | | | | | | | | | | | | | | | | | Case 2:
% 174.28/26.65 | | | | | | | | | | | | | | | | | | |
% 174.28/26.65 | | | | | | | | | | | | | | | | | | | (10446) all_58_2 = e0
% 174.28/26.65 | | | | | | | | | | | | | | | | | | |
% 174.28/26.65 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (478), (10443), (10446) are inconsistent by
% 174.28/26.65 | | | | | | | | | | | | | | | | | | | sub-proof #436.
% 174.28/26.65 | | | | | | | | | | | | | | | | | | |
% 174.28/26.65 | | | | | | | | | | | | | | | | | | End of split
% 174.28/26.65 | | | | | | | | | | | | | | | | | |
% 174.28/26.65 | | | | | | | | | | | | | | | | | Case 2:
% 174.28/26.65 | | | | | | | | | | | | | | | | | |
% 174.28/26.65 | | | | | | | | | | | | | | | | | | (10447) all_58_3 = e1
% 174.28/26.65 | | | | | | | | | | | | | | | | | | (10448) all_58_2 = e0
% 174.28/26.65 | | | | | | | | | | | | | | | | | |
% 174.28/26.65 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (478), (10448) imply:
% 174.28/26.65 | | | | | | | | | | | | | | | | | | (10449) all_52_2 = e0
% 174.28/26.65 | | | | | | | | | | | | | | | | | |
% 174.28/26.65 | | | | | | | | | | | | | | | | | | SIMP: (10449) implies:
% 174.28/26.65 | | | | | | | | | | | | | | | | | | (10450) all_52_2 = e0
% 174.28/26.65 | | | | | | | | | | | | | | | | | |
% 174.28/26.65 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (475), (10447) imply:
% 174.28/26.65 | | | | | | | | | | | | | | | | | | (10451) all_52_3 = e1
% 174.28/26.65 | | | | | | | | | | | | | | | | | |
% 174.28/26.65 | | | | | | | | | | | | | | | | | | SIMP: (10451) implies:
% 174.28/26.65 | | | | | | | | | | | | | | | | | | (10452) all_52_3 = e1
% 174.28/26.65 | | | | | | | | | | | | | | | | | |
% 174.28/26.65 | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (50), (224), (227), (693), (748), (760),
% 174.28/26.65 | | | | | | | | | | | | | | | | | | (765), (10314), (10317), (10424), (10450), (10452)
% 174.28/26.65 | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #426.
% 174.28/26.65 | | | | | | | | | | | | | | | | | |
% 174.28/26.65 | | | | | | | | | | | | | | | | | End of split
% 174.28/26.65 | | | | | | | | | | | | | | | | |
% 174.28/26.65 | | | | | | | | | | | | | | | | Case 2:
% 174.28/26.65 | | | | | | | | | | | | | | | | |
% 174.28/26.65 | | | | | | | | | | | | | | | | | (10453) all_58_1 = e0
% 174.28/26.65 | | | | | | | | | | | | | | | | |
% 174.28/26.65 | | | | | | | | | | | | | | | | | REF_CLOSE: (481), (10439), (10453) are inconsistent by
% 174.28/26.65 | | | | | | | | | | | | | | | | | sub-proof #462.
% 174.28/26.65 | | | | | | | | | | | | | | | | |
% 174.28/26.65 | | | | | | | | | | | | | | | | End of split
% 174.28/26.65 | | | | | | | | | | | | | | | |
% 174.28/26.65 | | | | | | | | | | | | | | | Case 2:
% 174.28/26.65 | | | | | | | | | | | | | | | |
% 174.28/26.65 | | | | | | | | | | | | | | | | (10454) all_58_3 = e2
% 174.28/26.65 | | | | | | | | | | | | | | | | (10455) all_58_1 = e0
% 174.28/26.65 | | | | | | | | | | | | | | | |
% 174.28/26.65 | | | | | | | | | | | | | | | | COMBINE_EQS: (481), (10455) imply:
% 174.28/26.65 | | | | | | | | | | | | | | | | (10456) all_52_1 = e0
% 174.28/26.65 | | | | | | | | | | | | | | | |
% 174.28/26.65 | | | | | | | | | | | | | | | | SIMP: (10456) implies:
% 174.28/26.65 | | | | | | | | | | | | | | | | (10457) all_52_1 = e0
% 174.28/26.65 | | | | | | | | | | | | | | | |
% 174.28/26.65 | | | | | | | | | | | | | | | | COMBINE_EQS: (475), (10454) imply:
% 174.28/26.65 | | | | | | | | | | | | | | | | (10458) all_52_3 = e2
% 174.28/26.65 | | | | | | | | | | | | | | | |
% 174.28/26.65 | | | | | | | | | | | | | | | | SIMP: (10458) implies:
% 174.28/26.65 | | | | | | | | | | | | | | | | (10459) all_52_3 = e2
% 174.28/26.65 | | | | | | | | | | | | | | | |
% 174.28/26.66 | | | | | | | | | | | | | | | | REDUCE: (731), (10457) imply:
% 174.28/26.66 | | | | | | | | | | | | | | | | (10460) op(e2, e0) = unit
% 174.28/26.66 | | | | | | | | | | | | | | | |
% 174.28/26.66 | | | | | | | | | | | | | | | | REDUCE: (765), (10459) imply:
% 174.28/26.66 | | | | | | | | | | | | | | | | (10461) op(e0, e2) = unit
% 174.28/26.66 | | | | | | | | | | | | | | | |
% 174.28/26.66 | | | | | | | | | | | | | | | | REF_CLOSE: (9), (50), (225), (231), (663), (728), (5776),
% 174.28/26.66 | | | | | | | | | | | | | | | | (9720), (9723), (10460), (10461) are inconsistent
% 174.28/26.66 | | | | | | | | | | | | | | | | by sub-proof #326.
% 174.28/26.66 | | | | | | | | | | | | | | | |
% 174.28/26.66 | | | | | | | | | | | | | | | End of split
% 174.28/26.66 | | | | | | | | | | | | | | |
% 174.28/26.66 | | | | | | | | | | | | | | Case 2:
% 174.28/26.66 | | | | | | | | | | | | | | |
% 174.28/26.66 | | | | | | | | | | | | | | | (10462) all_58_1 = e1
% 174.28/26.66 | | | | | | | | | | | | | | |
% 174.28/26.66 | | | | | | | | | | | | | | | COMBINE_EQS: (481), (10462) imply:
% 174.28/26.66 | | | | | | | | | | | | | | | (10463) all_52_1 = e1
% 174.28/26.66 | | | | | | | | | | | | | | |
% 174.28/26.66 | | | | | | | | | | | | | | | SIMP: (10463) implies:
% 174.28/26.66 | | | | | | | | | | | | | | | (10464) all_52_1 = e1
% 174.28/26.66 | | | | | | | | | | | | | | |
% 174.28/26.66 | | | | | | | | | | | | | | | REDUCE: (731), (10464) imply:
% 174.28/26.66 | | | | | | | | | | | | | | | (10465) op(e2, e1) = unit
% 174.28/26.66 | | | | | | | | | | | | | | |
% 174.28/26.66 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_10_1, unit, e1, e2,
% 174.28/26.66 | | | | | | | | | | | | | | | simplifying with (5838), (10465) gives:
% 174.28/26.66 | | | | | | | | | | | | | | | (10466) all_10_1 = unit
% 174.28/26.66 | | | | | | | | | | | | | | |
% 174.28/26.66 | | | | | | | | | | | | | | | REDUCE: (5814), (10466) imply:
% 174.28/26.66 | | | | | | | | | | | | | | | (10467) ~ (all_61_7 = unit)
% 174.28/26.66 | | | | | | | | | | | | | | |
% 174.28/26.66 | | | | | | | | | | | | | | | REDUCE: (5819), (10466) imply:
% 174.28/26.66 | | | | | | | | | | | | | | | (10468) ~ (all_61_11 = unit)
% 174.28/26.66 | | | | | | | | | | | | | | |
% 174.28/26.66 | | | | | | | | | | | | | | | REDUCE: (5823), (10466) imply:
% 174.28/26.66 | | | | | | | | | | | | | | | (10469) ~ (unit = e2)
% 174.28/26.66 | | | | | | | | | | | | | | |
% 174.28/26.66 | | | | | | | | | | | | | | | REDUCE: (9691), (10466) imply:
% 174.28/26.66 | | | | | | | | | | | | | | | (10470) ~ (unit = e1)
% 174.28/26.66 | | | | | | | | | | | | | | |
% 174.28/26.66 | | | | | | | | | | | | | | | BETA: splitting (852) gives:
% 174.28/26.66 | | | | | | | | | | | | | | |
% 174.28/26.66 | | | | | | | | | | | | | | | Case 1:
% 174.28/26.66 | | | | | | | | | | | | | | | |
% 174.28/26.66 | | | | | | | | | | | | | | | | (10471) unit = e2
% 174.28/26.66 | | | | | | | | | | | | | | | |
% 174.28/26.66 | | | | | | | | | | | | | | | | REDUCE: (10469), (10471) imply:
% 174.28/26.66 | | | | | | | | | | | | | | | | (10472) $false
% 174.28/26.66 | | | | | | | | | | | | | | | |
% 174.28/26.66 | | | | | | | | | | | | | | | | CLOSE: (10472) is inconsistent.
% 174.28/26.66 | | | | | | | | | | | | | | | |
% 174.28/26.66 | | | | | | | | | | | | | | | Case 2:
% 174.28/26.66 | | | | | | | | | | | | | | | |
% 174.28/26.66 | | | | | | | | | | | | | | | | (10473) unit = e1 | unit = e0
% 174.28/26.66 | | | | | | | | | | | | | | | |
% 174.28/26.66 | | | | | | | | | | | | | | | | BETA: splitting (10473) gives:
% 174.28/26.66 | | | | | | | | | | | | | | | |
% 174.28/26.66 | | | | | | | | | | | | | | | | Case 1:
% 174.28/26.66 | | | | | | | | | | | | | | | | |
% 174.28/26.66 | | | | | | | | | | | | | | | | | (10474) unit = e1
% 174.28/26.66 | | | | | | | | | | | | | | | | |
% 174.28/26.66 | | | | | | | | | | | | | | | | | REDUCE: (10470), (10474) imply:
% 174.28/26.66 | | | | | | | | | | | | | | | | | (10475) $false
% 174.28/26.66 | | | | | | | | | | | | | | | | |
% 174.28/26.66 | | | | | | | | | | | | | | | | | CLOSE: (10475) is inconsistent.
% 174.28/26.66 | | | | | | | | | | | | | | | | |
% 174.28/26.66 | | | | | | | | | | | | | | | | Case 2:
% 174.28/26.66 | | | | | | | | | | | | | | | | |
% 174.28/26.66 | | | | | | | | | | | | | | | | | (10476) unit = e0
% 174.28/26.66 | | | | | | | | | | | | | | | | |
% 174.28/26.66 | | | | | | | | | | | | | | | | | REDUCE: (10467), (10476) imply:
% 174.28/26.66 | | | | | | | | | | | | | | | | | (10477) ~ (all_61_7 = e0)
% 174.28/26.66 | | | | | | | | | | | | | | | | |
% 174.28/26.66 | | | | | | | | | | | | | | | | | REDUCE: (10468), (10476) imply:
% 174.28/26.66 | | | | | | | | | | | | | | | | | (10478) ~ (all_61_11 = e0)
% 174.28/26.66 | | | | | | | | | | | | | | | | |
% 174.28/26.66 | | | | | | | | | | | | | | | | | BETA: splitting (258) gives:
% 174.28/26.66 | | | | | | | | | | | | | | | | |
% 174.28/26.66 | | | | | | | | | | | | | | | | | Case 1:
% 174.28/26.66 | | | | | | | | | | | | | | | | | |
% 174.28/26.66 | | | | | | | | | | | | | | | | | | (10479) all_63_13 = e3
% 174.28/26.66 | | | | | | | | | | | | | | | | | |
% 174.28/26.66 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (508), (10479) imply:
% 174.28/26.66 | | | | | | | | | | | | | | | | | | (10480) all_61_7 = e3
% 174.28/26.66 | | | | | | | | | | | | | | | | | |
% 174.28/26.66 | | | | | | | | | | | | | | | | | | REDUCE: (10273), (10480) imply:
% 174.28/26.66 | | | | | | | | | | | | | | | | | | (10481) $false
% 174.28/26.66 | | | | | | | | | | | | | | | | | |
% 174.28/26.66 | | | | | | | | | | | | | | | | | | CLOSE: (10481) is inconsistent.
% 174.28/26.66 | | | | | | | | | | | | | | | | | |
% 174.28/26.66 | | | | | | | | | | | | | | | | | Case 2:
% 174.28/26.66 | | | | | | | | | | | | | | | | | |
% 174.28/26.66 | | | | | | | | | | | | | | | | | | (10482) all_63_13 = e2 | all_63_13 = e1 | all_63_13 = e0
% 174.28/26.66 | | | | | | | | | | | | | | | | | |
% 174.28/26.66 | | | | | | | | | | | | | | | | | | BETA: splitting (257) gives:
% 174.28/26.66 | | | | | | | | | | | | | | | | | |
% 174.28/26.66 | | | | | | | | | | | | | | | | | | Case 1:
% 174.28/26.66 | | | | | | | | | | | | | | | | | | |
% 174.28/26.66 | | | | | | | | | | | | | | | | | | | (10483) all_63_14 = e3
% 174.28/26.66 | | | | | | | | | | | | | | | | | | |
% 174.28/26.66 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (510), (10483) imply:
% 174.28/26.66 | | | | | | | | | | | | | | | | | | | (10484) all_61_11 = e3
% 174.28/26.66 | | | | | | | | | | | | | | | | | | |
% 174.28/26.66 | | | | | | | | | | | | | | | | | | | REDUCE: (10274), (10484) imply:
% 174.28/26.66 | | | | | | | | | | | | | | | | | | | (10485) $false
% 174.28/26.66 | | | | | | | | | | | | | | | | | | |
% 174.28/26.66 | | | | | | | | | | | | | | | | | | | CLOSE: (10485) is inconsistent.
% 174.28/26.66 | | | | | | | | | | | | | | | | | | |
% 174.28/26.66 | | | | | | | | | | | | | | | | | | Case 2:
% 174.28/26.66 | | | | | | | | | | | | | | | | | | |
% 174.28/26.66 | | | | | | | | | | | | | | | | | | | (10486) all_63_14 = e2 | all_63_14 = e1 | all_63_14 = e0
% 174.28/26.66 | | | | | | | | | | | | | | | | | | |
% 174.28/26.66 | | | | | | | | | | | | | | | | | | | BETA: splitting (10482) gives:
% 174.28/26.66 | | | | | | | | | | | | | | | | | | |
% 174.28/26.66 | | | | | | | | | | | | | | | | | | | Case 1:
% 174.28/26.66 | | | | | | | | | | | | | | | | | | | |
% 174.28/26.66 | | | | | | | | | | | | | | | | | | | | (10487) all_63_13 = e2
% 174.28/26.66 | | | | | | | | | | | | | | | | | | | |
% 174.28/26.66 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (508), (10487) imply:
% 174.28/26.66 | | | | | | | | | | | | | | | | | | | | (10488) all_61_7 = e2
% 174.28/26.66 | | | | | | | | | | | | | | | | | | | |
% 174.28/26.66 | | | | | | | | | | | | | | | | | | | | REDUCE: (192), (10488) imply:
% 174.28/26.66 | | | | | | | | | | | | | | | | | | | | (10489) ~ (all_61_11 = e2)
% 174.28/26.66 | | | | | | | | | | | | | | | | | | | |
% 174.28/26.66 | | | | | | | | | | | | | | | | | | | | REDUCE: (10307), (10488) imply:
% 174.28/26.66 | | | | | | | | | | | | | | | | | | | | (10490) ~ (all_28_1 = e2)
% 174.28/26.66 | | | | | | | | | | | | | | | | | | | |
% 174.28/26.66 | | | | | | | | | | | | | | | | | | | | SIMP: (10490) implies:
% 174.28/26.66 | | | | | | | | | | | | | | | | | | | | (10491) ~ (all_28_1 = e2)
% 174.28/26.66 | | | | | | | | | | | | | | | | | | | |
% 174.28/26.66 | | | | | | | | | | | | | | | | | | | | BETA: splitting (10486) gives:
% 174.28/26.66 | | | | | | | | | | | | | | | | | | | |
% 174.28/26.66 | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.28/26.66 | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.66 | | | | | | | | | | | | | | | | | | | | | (10492) all_63_14 = e2
% 174.28/26.66 | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.66 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (510), (5775), (10492) are inconsistent by
% 174.28/26.66 | | | | | | | | | | | | | | | | | | | | | sub-proof #520.
% 174.28/26.66 | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.66 | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.28/26.66 | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.66 | | | | | | | | | | | | | | | | | | | | | (10493) all_63_14 = e1 | all_63_14 = e0
% 174.28/26.66 | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.66 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10493) gives:
% 174.28/26.66 | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.66 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.28/26.66 | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.66 | | | | | | | | | | | | | | | | | | | | | | (10494) all_63_14 = e1
% 174.28/26.66 | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.66 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (510), (10494) imply:
% 174.28/26.66 | | | | | | | | | | | | | | | | | | | | | | (10495) all_61_11 = e1
% 174.28/26.66 | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.66 | | | | | | | | | | | | | | | | | | | | | | SIMP: (10495) implies:
% 174.28/26.66 | | | | | | | | | | | | | | | | | | | | | | (10496) all_61_11 = e1
% 174.28/26.66 | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.66 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10309), (10496) imply:
% 174.28/26.66 | | | | | | | | | | | | | | | | | | | | | | (10497) ~ (all_28_1 = e1)
% 174.28/26.66 | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.66 | | | | | | | | | | | | | | | | | | | | | | SIMP: (10497) implies:
% 174.28/26.66 | | | | | | | | | | | | | | | | | | | | | | (10498) ~ (all_28_1 = e1)
% 174.28/26.66 | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.66 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (268), (10305), (10311), (10425), (10491), (10498)
% 174.28/26.66 | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #430.
% 174.28/26.66 | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.66 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.28/26.66 | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.66 | | | | | | | | | | | | | | | | | | | | | | (10499) all_63_14 = e0
% 174.28/26.66 | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.66 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (510), (10478), (10499) are inconsistent by
% 174.28/26.66 | | | | | | | | | | | | | | | | | | | | | | sub-proof #518.
% 174.28/26.66 | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.66 | | | | | | | | | | | | | | | | | | | | | End of split
% 174.28/26.66 | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.66 | | | | | | | | | | | | | | | | | | | | End of split
% 174.28/26.66 | | | | | | | | | | | | | | | | | | | |
% 174.28/26.66 | | | | | | | | | | | | | | | | | | | Case 2:
% 174.28/26.66 | | | | | | | | | | | | | | | | | | | |
% 174.28/26.66 | | | | | | | | | | | | | | | | | | | | (10500) all_63_13 = e1 | all_63_13 = e0
% 174.28/26.66 | | | | | | | | | | | | | | | | | | | |
% 174.28/26.66 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (508), (9689), (10477), (10500) are inconsistent
% 174.28/26.66 | | | | | | | | | | | | | | | | | | | | by sub-proof #445.
% 174.28/26.66 | | | | | | | | | | | | | | | | | | | |
% 174.28/26.66 | | | | | | | | | | | | | | | | | | | End of split
% 174.28/26.66 | | | | | | | | | | | | | | | | | | |
% 174.28/26.66 | | | | | | | | | | | | | | | | | | End of split
% 174.28/26.66 | | | | | | | | | | | | | | | | | |
% 174.28/26.66 | | | | | | | | | | | | | | | | | End of split
% 174.28/26.66 | | | | | | | | | | | | | | | | |
% 174.28/26.66 | | | | | | | | | | | | | | | | End of split
% 174.28/26.66 | | | | | | | | | | | | | | | |
% 174.28/26.66 | | | | | | | | | | | | | | | End of split
% 174.28/26.66 | | | | | | | | | | | | | | |
% 174.28/26.66 | | | | | | | | | | | | | | End of split
% 174.28/26.66 | | | | | | | | | | | | | |
% 174.28/26.66 | | | | | | | | | | | | | End of split
% 174.28/26.66 | | | | | | | | | | | | |
% 174.28/26.66 | | | | | | | | | | | | End of split
% 174.28/26.66 | | | | | | | | | | | |
% 174.28/26.66 | | | | | | | | | | | End of split
% 174.28/26.66 | | | | | | | | | | |
% 174.28/26.66 | | | | | | | | | | Case 2:
% 174.28/26.66 | | | | | | | | | | |
% 174.28/26.66 | | | | | | | | | | | (10501) all_20_2 = e2
% 174.28/26.66 | | | | | | | | | | | (10502) op(e0, e2) = all_20_1 & $i(all_20_1) & ( ~
% 174.28/26.66 | | | | | | | | | | | (all_20_1 = e1) | ( ~ (all_20_0 = e3) & op(e1,
% 174.28/26.66 | | | | | | | | | | | e0) = all_20_0 & $i(all_20_0)))
% 174.28/26.66 | | | | | | | | | | |
% 174.28/26.66 | | | | | | | | | | | ALPHA: (10502) implies:
% 174.28/26.66 | | | | | | | | | | | (10503) op(e0, e2) = all_20_1
% 174.28/26.66 | | | | | | | | | | |
% 174.28/26.66 | | | | | | | | | | | COMBINE_EQS: (581), (10501) imply:
% 174.28/26.66 | | | | | | | | | | | (10504) all_46_2 = e2
% 174.28/26.66 | | | | | | | | | | |
% 174.28/26.66 | | | | | | | | | | | REDUCE: (625), (10501) imply:
% 174.28/26.66 | | | | | | | | | | | (10505) ~ (all_61_12 = e2)
% 174.28/26.66 | | | | | | | | | | |
% 174.28/26.66 | | | | | | | | | | | REDUCE: (626), (10501) imply:
% 174.28/26.66 | | | | | | | | | | | (10506) ~ (all_61_13 = e2)
% 174.28/26.66 | | | | | | | | | | |
% 174.28/26.66 | | | | | | | | | | | REDUCE: (694), (10501) imply:
% 174.28/26.66 | | | | | | | | | | | (10507) op(e2, e3) = all_65_73
% 174.28/26.66 | | | | | | | | | | |
% 174.28/26.66 | | | | | | | | | | | REDUCE: (695), (10501) imply:
% 174.28/26.66 | | | | | | | | | | | (10508) op(e2, e2) = all_65_75
% 174.28/26.66 | | | | | | | | | | |
% 174.28/26.66 | | | | | | | | | | | REDUCE: (696), (10501) imply:
% 174.28/26.66 | | | | | | | | | | | (10509) op(e2, e1) = all_65_77
% 174.28/26.66 | | | | | | | | | | |
% 174.28/26.66 | | | | | | | | | | | REDUCE: (697), (10501) imply:
% 174.28/26.66 | | | | | | | | | | | (10510) op(e2, e0) = all_65_78
% 174.28/26.66 | | | | | | | | | | |
% 174.28/26.66 | | | | | | | | | | | REDUCE: (713), (10501) imply:
% 174.28/26.66 | | | | | | | | | | | (10511) op(e3, e2) = all_65_15
% 174.28/26.66 | | | | | | | | | | |
% 174.28/26.66 | | | | | | | | | | | REDUCE: (730), (10501) imply:
% 174.28/26.66 | | | | | | | | | | | (10512) op(e2, e2) = all_65_31
% 174.28/26.66 | | | | | | | | | | |
% 174.28/26.66 | | | | | | | | | | | REDUCE: (764), (10501) imply:
% 174.28/26.66 | | | | | | | | | | | (10513) op(e0, e2) = all_65_78
% 174.28/26.66 | | | | | | | | | | |
% 174.28/26.66 | | | | | | | | | | | REDUCE: (76), (10501) imply:
% 174.28/26.66 | | | | | | | | | | | (10514) op(e0, e0) = e2
% 174.28/26.66 | | | | | | | | | | |
% 174.28/26.66 | | | | | | | | | | | BETA: splitting (116) gives:
% 174.28/26.66 | | | | | | | | | | |
% 174.28/26.66 | | | | | | | | | | | Case 1:
% 174.28/26.66 | | | | | | | | | | | |
% 174.28/26.66 | | | | | | | | | | | | (10515) ~ (all_46_2 = e2)
% 174.28/26.66 | | | | | | | | | | | |
% 174.28/26.66 | | | | | | | | | | | | REDUCE: (10504), (10515) imply:
% 174.28/26.66 | | | | | | | | | | | | (10516) $false
% 174.28/26.66 | | | | | | | | | | | |
% 174.28/26.66 | | | | | | | | | | | | CLOSE: (10516) is inconsistent.
% 174.28/26.66 | | | | | | | | | | | |
% 174.28/26.66 | | | | | | | | | | | Case 2:
% 174.28/26.66 | | | | | | | | | | | |
% 174.28/26.66 | | | | | | | | | | | | (10517) op(e0, e2) = all_46_1 & $i(all_46_1) & ( ~
% 174.28/26.66 | | | | | | | | | | | | (all_46_1 = e3) | ( ~ (all_46_0 = e1) & op(e3,
% 174.28/26.66 | | | | | | | | | | | | e0) = all_46_0 & $i(all_46_0)))
% 174.28/26.66 | | | | | | | | | | | |
% 174.28/26.66 | | | | | | | | | | | | ALPHA: (10517) implies:
% 174.28/26.66 | | | | | | | | | | | | (10518) op(e0, e2) = all_46_1
% 174.28/26.66 | | | | | | | | | | | |
% 174.28/26.66 | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_7, all_46_1, e2,
% 174.28/26.66 | | | | | | | | | | | | e0, simplifying with (225), (10518) gives:
% 174.28/26.66 | | | | | | | | | | | | (10519) all_61_7 = all_46_1
% 174.28/26.66 | | | | | | | | | | | |
% 174.28/26.66 | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_7, all_65_78, e2,
% 174.28/26.66 | | | | | | | | | | | | e0, simplifying with (225), (10513) gives:
% 174.28/26.66 | | | | | | | | | | | | (10520) all_65_78 = all_61_7
% 174.28/26.66 | | | | | | | | | | | |
% 174.28/26.66 | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_20_1, all_65_78, e2,
% 174.28/26.66 | | | | | | | | | | | | e0, simplifying with (10503), (10513) gives:
% 174.28/26.66 | | | | | | | | | | | | (10521) all_65_78 = all_20_1
% 174.28/26.66 | | | | | | | | | | | |
% 174.28/26.66 | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_13, all_65_78, e0,
% 174.28/26.66 | | | | | | | | | | | | e2, simplifying with (231), (10510) gives:
% 174.28/26.66 | | | | | | | | | | | | (10522) all_65_78 = all_61_13
% 174.28/26.66 | | | | | | | | | | | |
% 174.28/26.66 | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_10_1, all_65_77, e1,
% 174.28/26.66 | | | | | | | | | | | | e2, simplifying with (5838), (10509) gives:
% 174.28/26.66 | | | | | | | | | | | | (10523) all_65_77 = all_10_1
% 174.28/26.66 | | | | | | | | | | | |
% 174.28/26.66 | | | | | | | | | | | | GROUND_INST: instantiating (50) with e1, all_65_31, e2, e2,
% 174.28/26.66 | | | | | | | | | | | | simplifying with (9698), (10512) gives:
% 174.28/26.66 | | | | | | | | | | | | (10524) all_65_31 = e1
% 174.28/26.66 | | | | | | | | | | | |
% 174.28/26.66 | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_75, all_65_31, e2,
% 174.28/26.66 | | | | | | | | | | | | e2, simplifying with (10508), (10512) gives:
% 174.28/26.66 | | | | | | | | | | | | (10525) all_65_31 = all_65_75
% 174.28/26.66 | | | | | | | | | | | |
% 174.28/26.66 | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_1, all_65_73, e3,
% 174.28/26.66 | | | | | | | | | | | | e2, simplifying with (234), (10507) gives:
% 174.28/26.66 | | | | | | | | | | | | (10526) all_65_73 = all_61_1
% 174.28/26.66 | | | | | | | | | | | |
% 174.28/26.66 | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_4, all_65_15, e2,
% 174.28/26.66 | | | | | | | | | | | | e3, simplifying with (237), (10511) gives:
% 174.28/26.66 | | | | | | | | | | | | (10527) all_65_15 = all_61_4
% 174.28/26.66 | | | | | | | | | | | |
% 174.28/26.66 | | | | | | | | | | | | COMBINE_EQS: (10524), (10525) imply:
% 174.28/26.66 | | | | | | | | | | | | (10528) all_65_75 = e1
% 174.28/26.66 | | | | | | | | | | | |
% 174.28/26.66 | | | | | | | | | | | | COMBINE_EQS: (10521), (10522) imply:
% 174.28/26.66 | | | | | | | | | | | | (10529) all_61_13 = all_20_1
% 174.28/26.66 | | | | | | | | | | | |
% 174.28/26.66 | | | | | | | | | | | | COMBINE_EQS: (10520), (10522) imply:
% 174.28/26.66 | | | | | | | | | | | | (10530) all_61_7 = all_61_13
% 174.28/26.66 | | | | | | | | | | | |
% 174.28/26.66 | | | | | | | | | | | | SIMP: (10530) implies:
% 174.28/26.66 | | | | | | | | | | | | (10531) all_61_7 = all_61_13
% 174.28/26.66 | | | | | | | | | | | |
% 174.28/26.66 | | | | | | | | | | | | COMBINE_EQS: (10519), (10531) imply:
% 174.28/26.66 | | | | | | | | | | | | (10532) all_61_13 = all_46_1
% 174.28/26.66 | | | | | | | | | | | |
% 174.28/26.66 | | | | | | | | | | | | SIMP: (10532) implies:
% 174.28/26.66 | | | | | | | | | | | | (10533) all_61_13 = all_46_1
% 174.28/26.66 | | | | | | | | | | | |
% 174.28/26.66 | | | | | | | | | | | | COMBINE_EQS: (10529), (10533) imply:
% 174.28/26.66 | | | | | | | | | | | | (10534) all_46_1 = all_20_1
% 174.28/26.66 | | | | | | | | | | | |
% 174.28/26.66 | | | | | | | | | | | | COMBINE_EQS: (10519), (10534) imply:
% 174.28/26.66 | | | | | | | | | | | | (10535) all_61_7 = all_20_1
% 174.28/26.66 | | | | | | | | | | | |
% 174.28/26.66 | | | | | | | | | | | | COMBINE_EQS: (508), (10535) imply:
% 174.28/26.66 | | | | | | | | | | | | (10536) all_63_13 = all_20_1
% 174.28/26.66 | | | | | | | | | | | |
% 174.28/26.66 | | | | | | | | | | | | REDUCE: (5821), (10529) imply:
% 174.28/26.66 | | | | | | | | | | | | (10537) ~ (all_20_1 = all_10_1)
% 174.28/26.66 | | | | | | | | | | | |
% 174.28/26.66 | | | | | | | | | | | | REDUCE: (10506), (10529) imply:
% 174.28/26.66 | | | | | | | | | | | | (10538) ~ (all_20_1 = e2)
% 174.28/26.66 | | | | | | | | | | | |
% 174.28/26.66 | | | | | | | | | | | | REDUCE: (9690), (10529) imply:
% 174.28/26.66 | | | | | | | | | | | | (10539) ~ (all_20_1 = e1)
% 174.28/26.66 | | | | | | | | | | | |
% 174.28/26.66 | | | | | | | | | | | | REDUCE: (9720), (10535) imply:
% 174.28/26.66 | | | | | | | | | | | | (10540) op(all_20_1, e2) = all_61_11
% 174.28/26.66 | | | | | | | | | | | |
% 174.28/26.66 | | | | | | | | | | | | REDUCE: (5852), (10535) imply:
% 174.28/26.66 | | | | | | | | | | | | (10541) op(all_20_1, e1) = all_65_67
% 174.28/26.66 | | | | | | | | | | | |
% 174.28/26.66 | | | | | | | | | | | | REDUCE: (689), (10535) imply:
% 174.28/26.66 | | | | | | | | | | | | (10542) op(all_20_1, e0) = all_65_63
% 174.28/26.66 | | | | | | | | | | | |
% 174.28/26.66 | | | | | | | | | | | | REDUCE: (5833), (10535) imply:
% 174.28/26.66 | | | | | | | | | | | | (10543) op(all_61_11, e1) = all_20_1
% 174.28/26.66 | | | | | | | | | | | |
% 174.28/26.66 | | | | | | | | | | | | REDUCE: (649), (10527) imply:
% 174.28/26.66 | | | | | | | | | | | | (10544) op(all_61_12, e0) = all_61_4
% 174.28/26.66 | | | | | | | | | | | |
% 174.28/26.66 | | | | | | | | | | | | REDUCE: (663), (10529) imply:
% 174.28/26.66 | | | | | | | | | | | | (10545) op(all_20_1, e2) = all_65_29
% 174.28/26.66 | | | | | | | | | | | |
% 174.28/26.66 | | | | | | | | | | | | REDUCE: (664), (10529) imply:
% 174.28/26.66 | | | | | | | | | | | | (10546) op(all_20_1, e1) = all_65_30
% 174.28/26.66 | | | | | | | | | | | |
% 174.28/26.66 | | | | | | | | | | | | REDUCE: (665), (10524), (10529) imply:
% 174.28/26.66 | | | | | | | | | | | | (10547) op(all_20_1, e0) = e1
% 174.28/26.66 | | | | | | | | | | | |
% 174.28/26.66 | | | | | | | | | | | | REDUCE: (711), (10535) imply:
% 174.28/26.66 | | | | | | | | | | | | (10548) op(e3, all_20_1) = all_65_13
% 174.28/26.66 | | | | | | | | | | | |
% 174.28/26.66 | | | | | | | | | | | | REDUCE: (705), (10529) imply:
% 174.28/26.66 | | | | | | | | | | | | (10549) op(e3, all_20_1) = all_65_7
% 174.28/26.66 | | | | | | | | | | | |
% 174.28/26.66 | | | | | | | | | | | | REDUCE: (728), (10535) imply:
% 174.28/26.66 | | | | | | | | | | | | (10550) op(e2, all_20_1) = all_65_29
% 174.28/26.66 | | | | | | | | | | | |
% 174.28/26.66 | | | | | | | | | | | | REDUCE: (9723), (10529) imply:
% 174.28/26.66 | | | | | | | | | | | | (10551) op(e2, all_20_1) = all_61_14
% 174.28/26.66 | | | | | | | | | | | |
% 174.28/26.66 | | | | | | | | | | | | REDUCE: (761), (10526) imply:
% 174.28/26.66 | | | | | | | | | | | | (10552) op(e0, all_61_3) = all_61_1
% 174.28/26.66 | | | | | | | | | | | |
% 174.28/26.66 | | | | | | | | | | | | REDUCE: (756), (10529) imply:
% 174.28/26.66 | | | | | | | | | | | | (10553) op(e0, all_20_1) = all_65_63
% 174.28/26.66 | | | | | | | | | | | |
% 174.28/26.66 | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_14, all_65_29,
% 174.28/26.66 | | | | | | | | | | | | all_20_1, e2, simplifying with (10550), (10551)
% 174.28/26.66 | | | | | | | | | | | | gives:
% 174.28/26.66 | | | | | | | | | | | | (10554) all_65_29 = all_61_14
% 174.28/26.66 | | | | | | | | | | | |
% 174.28/26.66 | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_13, all_65_7,
% 174.28/26.66 | | | | | | | | | | | | all_20_1, e3, simplifying with (10548), (10549)
% 174.28/26.66 | | | | | | | | | | | | gives:
% 174.28/26.66 | | | | | | | | | | | | (10555) all_65_7 = all_65_13
% 174.28/26.66 | | | | | | | | | | | |
% 174.28/26.66 | | | | | | | | | | | | GROUND_INST: instantiating (50) with e1, all_65_63, e0,
% 174.28/26.66 | | | | | | | | | | | | all_20_1, simplifying with (10542), (10547) gives:
% 174.28/26.66 | | | | | | | | | | | | (10556) all_65_63 = e1
% 174.28/26.66 | | | | | | | | | | | |
% 174.28/26.66 | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_67, all_65_30, e1,
% 174.28/26.66 | | | | | | | | | | | | all_20_1, simplifying with (10541), (10546) gives:
% 174.28/26.66 | | | | | | | | | | | | (10557) all_65_30 = all_65_67
% 174.28/26.66 | | | | | | | | | | | |
% 174.28/26.66 | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_11, all_65_29, e2,
% 174.28/26.66 | | | | | | | | | | | | all_20_1, simplifying with (10540), (10545) gives:
% 174.28/26.66 | | | | | | | | | | | | (10558) all_65_29 = all_61_11
% 174.28/26.66 | | | | | | | | | | | |
% 174.28/26.66 | | | | | | | | | | | | COMBINE_EQS: (10554), (10558) imply:
% 174.28/26.66 | | | | | | | | | | | | (10559) all_61_11 = all_61_14
% 174.28/26.66 | | | | | | | | | | | |
% 174.28/26.66 | | | | | | | | | | | | COMBINE_EQS: (510), (10559) imply:
% 174.28/26.66 | | | | | | | | | | | | (10560) all_63_14 = all_61_14
% 174.28/26.66 | | | | | | | | | | | |
% 174.28/26.66 | | | | | | | | | | | | REDUCE: (188), (10559) imply:
% 174.28/26.66 | | | | | | | | | | | | (10561) ~ (all_61_8 = all_61_14)
% 174.28/26.66 | | | | | | | | | | | |
% 174.28/26.66 | | | | | | | | | | | | REDUCE: (641), (10555) imply:
% 174.28/26.66 | | | | | | | | | | | | (10562) op(all_61_4, e0) = all_65_13
% 174.28/26.66 | | | | | | | | | | | |
% 174.28/26.66 | | | | | | | | | | | | REDUCE: (10543), (10559) imply:
% 174.28/26.66 | | | | | | | | | | | | (10563) op(all_61_14, e1) = all_20_1
% 174.28/26.66 | | | | | | | | | | | |
% 174.28/26.66 | | | | | | | | | | | | REDUCE: (712), (10559) imply:
% 174.28/26.66 | | | | | | | | | | | | (10564) op(e3, all_61_14) = all_65_14
% 174.28/26.66 | | | | | | | | | | | |
% 174.28/26.66 | | | | | | | | | | | | REDUCE: (10553), (10556) imply:
% 174.28/26.66 | | | | | | | | | | | | (10565) op(e0, all_20_1) = e1
% 174.28/26.66 | | | | | | | | | | | |
% 174.28/26.66 | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_11, all_65_14,
% 174.28/26.66 | | | | | | | | | | | | all_61_14, e3, simplifying with (709), (10564)
% 174.28/26.66 | | | | | | | | | | | | gives:
% 174.28/26.66 | | | | | | | | | | | | (10566) all_65_11 = all_65_14
% 174.28/26.66 | | | | | | | | | | | |
% 174.28/26.66 | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_46, all_20_1, e1,
% 174.28/26.66 | | | | | | | | | | | | all_61_14, simplifying with (680), (10563) gives:
% 174.28/26.66 | | | | | | | | | | | | (10567) all_65_46 = all_20_1
% 174.28/26.66 | | | | | | | | | | | |
% 174.28/26.66 | | | | | | | | | | | | REDUCE: (645), (10566) imply:
% 174.28/26.66 | | | | | | | | | | | | (10568) op(all_61_8, e0) = all_65_14
% 174.28/26.66 | | | | | | | | | | | |
% 174.28/26.66 | | | | | | | | | | | | BETA: splitting (101) gives:
% 174.28/26.66 | | | | | | | | | | | |
% 174.28/26.66 | | | | | | | | | | | | Case 1:
% 174.28/26.66 | | | | | | | | | | | | |
% 174.28/26.66 | | | | | | | | | | | | | (10569) ~ (all_36_2 = e0)
% 174.28/26.66 | | | | | | | | | | | | |
% 174.28/26.66 | | | | | | | | | | | | | REDUCE: (557), (10569) imply:
% 174.28/26.66 | | | | | | | | | | | | | (10570) ~ (all_14_2 = e0)
% 174.28/26.66 | | | | | | | | | | | | |
% 174.28/26.66 | | | | | | | | | | | | | BETA: splitting (107) gives:
% 174.28/26.66 | | | | | | | | | | | | |
% 174.28/26.66 | | | | | | | | | | | | | Case 1:
% 174.28/26.66 | | | | | | | | | | | | | |
% 174.28/26.66 | | | | | | | | | | | | | | (10571) ~ (all_40_2 = e1)
% 174.28/26.66 | | | | | | | | | | | | | |
% 174.28/26.66 | | | | | | | | | | | | | | REDUCE: (553), (10571) imply:
% 174.28/26.66 | | | | | | | | | | | | | | (10572) ~ (all_14_2 = e1)
% 174.28/26.66 | | | | | | | | | | | | | |
% 174.28/26.66 | | | | | | | | | | | | | | REF_CLOSE: (10), (50), (67), (151), (159), (162), (165),
% 174.28/26.66 | | | | | | | | | | | | | | (166), (167), (168), (226), (230), (234), (235),
% 174.28/26.66 | | | | | | | | | | | | | | (236), (237), (271), (475), (478), (481), (484),
% 174.28/26.66 | | | | | | | | | | | | | | (534), (588), (599), (601), (603), (635), (636),
% 174.28/26.66 | | | | | | | | | | | | | | (637), (638), (642), (646), (650), (666), (682),
% 174.28/26.66 | | | | | | | | | | | | | | (698), (714), (715), (731), (732), (748), (749),
% 174.28/26.66 | | | | | | | | | | | | | | (765), (851), (9725), (10570), (10572) are
% 174.28/26.66 | | | | | | | | | | | | | | inconsistent by sub-proof #502.
% 174.28/26.66 | | | | | | | | | | | | | |
% 174.28/26.66 | | | | | | | | | | | | | Case 2:
% 174.28/26.66 | | | | | | | | | | | | | |
% 174.28/26.66 | | | | | | | | | | | | | | (10573) all_40_2 = e1
% 174.28/26.66 | | | | | | | | | | | | | | (10574) op(e3, e1) = all_40_1 & $i(all_40_1) & ( ~
% 174.28/26.66 | | | | | | | | | | | | | | (all_40_1 = e0) | ( ~ (all_40_0 = e2) & op(e0,
% 174.28/26.66 | | | | | | | | | | | | | | e3) = all_40_0 & $i(all_40_0)))
% 174.28/26.66 | | | | | | | | | | | | | |
% 174.28/26.66 | | | | | | | | | | | | | | ALPHA: (10574) implies:
% 174.28/26.66 | | | | | | | | | | | | | | (10575) op(e3, e1) = all_40_1
% 174.28/26.66 | | | | | | | | | | | | | |
% 174.28/26.66 | | | | | | | | | | | | | | COMBINE_EQS: (553), (10573) imply:
% 174.28/26.66 | | | | | | | | | | | | | | (10576) all_14_2 = e1
% 174.28/26.66 | | | | | | | | | | | | | |
% 174.28/26.66 | | | | | | | | | | | | | | COMBINE_EQS: (466), (10576) imply:
% 174.28/26.66 | | | | | | | | | | | | | | (10577) all_48_2 = e1
% 174.28/26.66 | | | | | | | | | | | | | |
% 174.28/26.66 | | | | | | | | | | | | | | REDUCE: (601), (10576) imply:
% 174.28/26.66 | | | | | | | | | | | | | | (10578) ~ (all_61_8 = e1)
% 174.28/26.66 | | | | | | | | | | | | | |
% 174.28/26.66 | | | | | | | | | | | | | | REDUCE: (603), (10576) imply:
% 174.28/26.66 | | | | | | | | | | | | | | (10579) ~ (all_61_12 = e1)
% 174.28/26.66 | | | | | | | | | | | | | |
% 174.28/26.66 | | | | | | | | | | | | | | REDUCE: (634), (10576) imply:
% 174.28/26.66 | | | | | | | | | | | | | | (10580) op(e1, e3) = all_65_0
% 174.28/26.66 | | | | | | | | | | | | | |
% 174.28/26.66 | | | | | | | | | | | | | | REDUCE: (636), (10576) imply:
% 174.28/26.66 | | | | | | | | | | | | | | (10581) op(e1, e1) = all_65_2
% 174.28/26.66 | | | | | | | | | | | | | |
% 174.28/26.66 | | | | | | | | | | | | | | REDUCE: (637), (10576) imply:
% 174.28/26.66 | | | | | | | | | | | | | | (10582) op(e1, e0) = all_65_3
% 174.28/26.66 | | | | | | | | | | | | | |
% 174.28/26.66 | | | | | | | | | | | | | | REDUCE: (698), (10576) imply:
% 174.28/26.66 | | | | | | | | | | | | | | (10583) op(e3, e1) = all_65_0
% 174.28/26.66 | | | | | | | | | | | | | |
% 174.28/26.66 | | | | | | | | | | | | | | REDUCE: (715), (10576) imply:
% 174.28/26.66 | | | | | | | | | | | | | | (10584) op(e2, e1) = all_65_16
% 174.28/26.66 | | | | | | | | | | | | | |
% 174.28/26.66 | | | | | | | | | | | | | | REDUCE: (732), (10576) imply:
% 174.28/26.66 | | | | | | | | | | | | | | (10585) op(e1, e1) = all_65_32
% 174.28/26.66 | | | | | | | | | | | | | |
% 174.28/26.66 | | | | | | | | | | | | | | BETA: splitting (119) gives:
% 174.28/26.66 | | | | | | | | | | | | | |
% 174.28/26.66 | | | | | | | | | | | | | | Case 1:
% 174.28/26.66 | | | | | | | | | | | | | | |
% 174.28/26.66 | | | | | | | | | | | | | | | (10586) ~ (all_48_2 = e1)
% 174.28/26.66 | | | | | | | | | | | | | | |
% 174.28/26.66 | | | | | | | | | | | | | | | REDUCE: (10577), (10586) imply:
% 174.28/26.66 | | | | | | | | | | | | | | | (10587) $false
% 174.28/26.66 | | | | | | | | | | | | | | |
% 174.28/26.66 | | | | | | | | | | | | | | | CLOSE: (10587) is inconsistent.
% 174.28/26.66 | | | | | | | | | | | | | | |
% 174.28/26.66 | | | | | | | | | | | | | | Case 2:
% 174.28/26.66 | | | | | | | | | | | | | | |
% 174.28/26.66 | | | | | | | | | | | | | | | (10588) op(e3, e1) = all_48_1 & $i(all_48_1) & ( ~
% 174.28/26.66 | | | | | | | | | | | | | | | (all_48_1 = e2) | ( ~ (all_48_0 = e0) & op(e2,
% 174.28/26.66 | | | | | | | | | | | | | | | e3) = all_48_0 & $i(all_48_0)))
% 174.28/26.66 | | | | | | | | | | | | | | |
% 174.28/26.66 | | | | | | | | | | | | | | | ALPHA: (10588) implies:
% 174.28/26.66 | | | | | | | | | | | | | | | (10589) op(e3, e1) = all_48_1
% 174.28/26.66 | | | | | | | | | | | | | | |
% 174.28/26.66 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_14, all_65_3, e0,
% 174.28/26.66 | | | | | | | | | | | | | | | e1, simplifying with (227), (10582) gives:
% 174.28/26.66 | | | | | | | | | | | | | | | (10590) all_65_3 = all_61_14
% 174.28/26.66 | | | | | | | | | | | | | | |
% 174.28/26.66 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e2, all_65_2, e1, e1,
% 174.28/26.66 | | | | | | | | | | | | | | | simplifying with (5784), (10581) gives:
% 174.28/26.66 | | | | | | | | | | | | | | | (10591) all_65_2 = e2
% 174.28/26.66 | | | | | | | | | | | | | | |
% 174.28/26.66 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_32, all_65_2, e1,
% 174.28/26.66 | | | | | | | | | | | | | | | e1, simplifying with (10581), (10585) gives:
% 174.28/26.66 | | | | | | | | | | | | | | | (10592) all_65_2 = all_65_32
% 174.28/26.66 | | | | | | | | | | | | | | |
% 174.28/26.66 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_2, all_65_0, e3,
% 174.28/26.66 | | | | | | | | | | | | | | | e1, simplifying with (230), (10580) gives:
% 174.28/26.66 | | | | | | | | | | | | | | | (10593) all_65_0 = all_61_2
% 174.28/26.66 | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_10_1, all_65_16, e1,
% 174.28/26.67 | | | | | | | | | | | | | | | e2, simplifying with (5838), (10584) gives:
% 174.28/26.67 | | | | | | | | | | | | | | | (10594) all_65_16 = all_10_1
% 174.28/26.67 | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_8, all_48_1, e1,
% 174.28/26.67 | | | | | | | | | | | | | | | e3, simplifying with (236), (10589) gives:
% 174.28/26.67 | | | | | | | | | | | | | | | (10595) all_61_8 = all_48_1
% 174.28/26.67 | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_8, all_65_0, e1,
% 174.28/26.67 | | | | | | | | | | | | | | | e3, simplifying with (236), (10583) gives:
% 174.28/26.67 | | | | | | | | | | | | | | | (10596) all_65_0 = all_61_8
% 174.28/26.67 | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_40_1, all_65_0, e1,
% 174.28/26.67 | | | | | | | | | | | | | | | e3, simplifying with (10575), (10583) gives:
% 174.28/26.67 | | | | | | | | | | | | | | | (10597) all_65_0 = all_40_1
% 174.28/26.67 | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | COMBINE_EQS: (10593), (10597) imply:
% 174.28/26.67 | | | | | | | | | | | | | | | (10598) all_61_2 = all_40_1
% 174.28/26.67 | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | SIMP: (10598) implies:
% 174.28/26.67 | | | | | | | | | | | | | | | (10599) all_61_2 = all_40_1
% 174.28/26.67 | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | COMBINE_EQS: (10596), (10597) imply:
% 174.28/26.67 | | | | | | | | | | | | | | | (10600) all_61_8 = all_40_1
% 174.28/26.67 | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | SIMP: (10600) implies:
% 174.28/26.67 | | | | | | | | | | | | | | | (10601) all_61_8 = all_40_1
% 174.28/26.67 | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | COMBINE_EQS: (10591), (10592) imply:
% 174.28/26.67 | | | | | | | | | | | | | | | (10602) all_65_32 = e2
% 174.28/26.67 | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | COMBINE_EQS: (10595), (10601) imply:
% 174.28/26.67 | | | | | | | | | | | | | | | (10603) all_48_1 = all_40_1
% 174.28/26.67 | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | COMBINE_EQS: (499), (10599) imply:
% 174.28/26.67 | | | | | | | | | | | | | | | (10604) all_63_8 = all_40_1
% 174.28/26.67 | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | REDUCE: (187), (10601) imply:
% 174.28/26.67 | | | | | | | | | | | | | | | (10605) ~ (all_61_12 = all_40_1)
% 174.28/26.67 | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | SIMP: (10605) implies:
% 174.28/26.67 | | | | | | | | | | | | | | | (10606) ~ (all_61_12 = all_40_1)
% 174.28/26.67 | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | REDUCE: (10561), (10601) imply:
% 174.28/26.67 | | | | | | | | | | | | | | | (10607) ~ (all_61_14 = all_40_1)
% 174.28/26.67 | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | SIMP: (10607) implies:
% 174.28/26.67 | | | | | | | | | | | | | | | (10608) ~ (all_61_14 = all_40_1)
% 174.28/26.67 | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | REDUCE: (5817), (10601) imply:
% 174.28/26.67 | | | | | | | | | | | | | | | (10609) ~ (all_40_1 = all_10_1)
% 174.28/26.67 | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | REDUCE: (5773), (10601) imply:
% 174.28/26.67 | | | | | | | | | | | | | | | (10610) ~ (all_40_1 = e2)
% 174.28/26.67 | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | REDUCE: (10578), (10601) imply:
% 174.28/26.67 | | | | | | | | | | | | | | | (10611) ~ (all_40_1 = e1)
% 174.28/26.67 | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | REDUCE: (666), (10599), (10602) imply:
% 174.28/26.67 | | | | | | | | | | | | | | | (10612) op(all_40_1, e3) = e2
% 174.28/26.67 | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | REDUCE: (668), (10599) imply:
% 174.28/26.67 | | | | | | | | | | | | | | | (10613) op(all_40_1, e1) = all_65_34
% 174.28/26.67 | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | REDUCE: (669), (10599) imply:
% 174.28/26.67 | | | | | | | | | | | | | | | (10614) op(all_40_1, e0) = all_65_35
% 174.28/26.67 | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | REDUCE: (9719), (10601) imply:
% 174.28/26.67 | | | | | | | | | | | | | | | (10615) op(all_61_4, e2) = all_40_1
% 174.28/26.67 | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | REDUCE: (642), (10601) imply:
% 174.28/26.67 | | | | | | | | | | | | | | | (10616) op(all_40_1, e3) = all_65_8
% 174.28/26.67 | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | REDUCE: (5828), (10601) imply:
% 174.28/26.67 | | | | | | | | | | | | | | | (10617) op(all_40_1, e1) = all_61_4
% 174.28/26.67 | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | REDUCE: (10568), (10601) imply:
% 174.28/26.67 | | | | | | | | | | | | | | | (10618) op(all_40_1, e0) = all_65_14
% 174.28/26.67 | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | REDUCE: (706), (10599) imply:
% 174.28/26.67 | | | | | | | | | | | | | | | (10619) op(e3, all_40_1) = all_65_8
% 174.28/26.67 | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | REDUCE: (701), (10590) imply:
% 174.28/26.67 | | | | | | | | | | | | | | | (10620) op(e3, all_61_12) = all_61_14
% 174.28/26.67 | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | REDUCE: (5839), (10599) imply:
% 174.28/26.67 | | | | | | | | | | | | | | | (10621) op(e1, all_40_1) = all_61_1
% 174.28/26.67 | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | REDUCE: (734), (10601) imply:
% 174.28/26.67 | | | | | | | | | | | | | | | (10622) op(e1, all_40_1) = all_65_34
% 174.28/26.67 | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_1, all_65_34,
% 174.28/26.67 | | | | | | | | | | | | | | | all_40_1, e1, simplifying with (10621), (10622)
% 174.28/26.67 | | | | | | | | | | | | | | | gives:
% 174.28/26.67 | | | | | | | | | | | | | | | (10623) all_65_34 = all_61_1
% 174.28/26.67 | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_35, all_65_14, e0,
% 174.28/26.67 | | | | | | | | | | | | | | | all_40_1, simplifying with (10614), (10618) gives:
% 174.28/26.67 | | | | | | | | | | | | | | | (10624) all_65_14 = all_65_35
% 174.28/26.67 | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_4, all_65_34, e1,
% 174.28/26.67 | | | | | | | | | | | | | | | all_40_1, simplifying with (10613), (10617) gives:
% 174.28/26.67 | | | | | | | | | | | | | | | (10625) all_65_34 = all_61_4
% 174.28/26.67 | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e2, all_65_8, e3,
% 174.28/26.67 | | | | | | | | | | | | | | | all_40_1, simplifying with (10612), (10616) gives:
% 174.28/26.67 | | | | | | | | | | | | | | | (10626) all_65_8 = e2
% 174.28/26.67 | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | COMBINE_EQS: (10623), (10625) imply:
% 174.28/26.67 | | | | | | | | | | | | | | | (10627) all_61_1 = all_61_4
% 174.28/26.67 | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | SIMP: (10627) implies:
% 174.28/26.67 | | | | | | | | | | | | | | | (10628) all_61_1 = all_61_4
% 174.28/26.67 | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | REDUCE: (651), (10628) imply:
% 174.28/26.67 | | | | | | | | | | | | | | | (10629) op(all_61_4, e2) = all_65_17
% 174.28/26.67 | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | REDUCE: (653), (10628) imply:
% 174.28/26.67 | | | | | | | | | | | | | | | (10630) op(all_61_4, e0) = all_65_19
% 174.28/26.67 | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | REDUCE: (10564), (10624) imply:
% 174.28/26.67 | | | | | | | | | | | | | | | (10631) op(e3, all_61_14) = all_65_35
% 174.28/26.67 | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | REDUCE: (10619), (10626) imply:
% 174.28/26.67 | | | | | | | | | | | | | | | (10632) op(e3, all_40_1) = e2
% 174.28/26.67 | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_13, all_65_19, e0,
% 174.28/26.67 | | | | | | | | | | | | | | | all_61_4, simplifying with (10562), (10630) gives:
% 174.28/26.67 | | | | | | | | | | | | | | | (10633) all_65_13 = all_65_19
% 174.28/26.67 | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_40_1, all_65_17, e2,
% 174.28/26.67 | | | | | | | | | | | | | | | all_61_4, simplifying with (10615), (10629) gives:
% 174.28/26.67 | | | | | | | | | | | | | | | (10634) all_65_17 = all_40_1
% 174.28/26.67 | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | REDUCE: (647), (10633) imply:
% 174.28/26.67 | | | | | | | | | | | | | | | (10635) op(all_61_12, e2) = all_65_19
% 174.28/26.67 | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | REDUCE: (10548), (10633) imply:
% 174.28/26.67 | | | | | | | | | | | | | | | (10636) op(e3, all_20_1) = all_65_19
% 174.28/26.67 | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | BETA: splitting (161) gives:
% 174.28/26.67 | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | Case 1:
% 174.28/26.67 | | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | | (10637) ~ (all_58_2 = e2)
% 174.28/26.67 | | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | | REDUCE: (478), (10637) imply:
% 174.28/26.67 | | | | | | | | | | | | | | | | (10638) ~ (all_52_2 = e2)
% 174.28/26.67 | | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | | BETA: splitting (164) gives:
% 174.28/26.67 | | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | | Case 1:
% 174.28/26.67 | | | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | | | (10639) ~ (all_58_1 = e1)
% 174.28/26.67 | | | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | | | REDUCE: (481), (10639) imply:
% 174.28/26.67 | | | | | | | | | | | | | | | | | (10640) ~ (all_52_1 = e1)
% 174.28/26.67 | | | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | | | BETA: splitting (157) gives:
% 174.28/26.67 | | | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | | | Case 1:
% 174.28/26.67 | | | | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | | | | (10641) ~ (all_58_3 = e1)
% 174.28/26.67 | | | | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | | | | REDUCE: (475), (10641) imply:
% 174.28/26.67 | | | | | | | | | | | | | | | | | | (10642) ~ (all_52_3 = e1)
% 174.28/26.67 | | | | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | | | | BETA: splitting (160) gives:
% 174.28/26.67 | | | | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | | | | Case 1:
% 174.28/26.67 | | | | | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | (10643) ~ (all_58_2 = e0)
% 174.28/26.67 | | | | | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | REDUCE: (478), (10643) imply:
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | (10644) ~ (all_52_2 = e0)
% 174.28/26.67 | | | | | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | BETA: splitting (165) gives:
% 174.28/26.67 | | | | | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | Case 1:
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | (10645) ~ (all_58_1 = e3)
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | REDUCE: (481), (10645) imply:
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | (10646) ~ (all_52_1 = e3)
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | BETA: splitting (168) gives:
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | (10647) ~ (all_58_0 = e2)
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | REDUCE: (484), (10647) imply:
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | (10648) ~ (all_52_0 = e2)
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (162) gives:
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | | (10649) ~ (all_58_2 = e3)
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (478), (10649) imply:
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | | (10650) ~ (all_52_2 = e3)
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (50), (149), (161), (478), (481), (538),
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | | (748), (5784), (9698), (10640), (10644), (10650)
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #227.
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | | (10651) all_58_0 = e1
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (484), (10651) imply:
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | | (10652) all_52_0 = e1
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | | SIMP: (10652) implies:
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | | (10653) all_52_0 = e1
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (630), (10653) imply:
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | | (10654) ~ (all_52_3 = e1)
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10648), (10653) imply:
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | | (10655) ~ (e2 = e1)
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (714), (10653) imply:
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | | (10656) op(e3, e1) = unit
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_40_1, unit, e1, e3,
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | | simplifying with (10575), (10656) gives:
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | | (10657) all_40_1 = unit
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10604), (10657) imply:
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | | (10658) all_63_8 = unit
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10609), (10657) imply:
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | | (10659) ~ (all_10_1 = unit)
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | | SIMP: (10659) implies:
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | | (10660) ~ (all_10_1 = unit)
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10610), (10657) imply:
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | | (10661) ~ (unit = e2)
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10611), (10657) imply:
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | | (10662) ~ (unit = e1)
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (263) gives:
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | | | (10663) all_63_8 = e3
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10658), (10663) imply:
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | | | (10664) unit = e3
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (851), (10664) imply:
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | | | (10665) $false
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (10665) is inconsistent.
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | | | (10666) all_63_8 = e2 | all_63_8 = e1 | all_63_8 = e0
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10666) gives:
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | | | | (10667) all_63_8 = e2
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10658), (10667) imply:
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | | | | (10668) unit = e2
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10661), (10668) imply:
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | | | | (10669) $false
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (10669) is inconsistent.
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | | | | (10670) all_63_8 = e1 | all_63_8 = e0
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10670) gives:
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | (10671) all_63_8 = e1
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10658), (10671) imply:
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | (10672) unit = e1
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10662), (10672) imply:
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | (10673) $false
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (10673) is inconsistent.
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | (10674) all_63_8 = e0
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10658), (10674) imply:
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | (10675) unit = e0
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10660), (10675) imply:
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | (10676) ~ (all_10_1 = e0)
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (265) gives:
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | (10677) all_63_6 = e3
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5809), (10677) imply:
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | (10678) all_10_1 = e3
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10537), (10678) imply:
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | (10679) ~ (all_20_1 = e3)
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (258) gives:
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10680) all_63_13 = e3
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10536), (10680) imply:
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10681) all_20_1 = e3
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10679), (10681) imply:
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10682) $false
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (10682) is inconsistent.
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10683) all_63_13 = e2 | all_63_13 = e1 | all_63_13 = e0
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10683) gives:
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10684) all_63_13 = e2
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10536), (10538), (10684) are inconsistent by
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #212.
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10685) all_63_13 = e1 | all_63_13 = e0
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10685) gives:
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10686) all_63_13 = e1
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10536), (10539), (10686) are inconsistent by
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #211.
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10687) all_63_13 = e0
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10536), (10687) imply:
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10688) all_20_1 = e0
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10688) implies:
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10689) all_20_1 = e0
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10565), (10689) imply:
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10690) op(e0, e0) = e1
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (9), (20), (50), (148), (149), (158),
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (159), (161), (164), (225), (231), (475), (478),
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (481), (484), (538), (539), (629), (633), (663),
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (728), (731), (748), (765), (5776), (5784),
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9698), (9720), (9723), (10638), (10642), (10690)
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #215.
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | (10691) all_63_6 = e2 | all_63_6 = e1 | all_63_6 = e0
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5809), (5823), (9691), (10676), (10691) are
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #288.
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | End of split
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | (10692) all_58_1 = e3
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (481), (10646), (10692) are inconsistent by
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | sub-proof #511.
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | End of split
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | Case 2:
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | (10693) all_58_0 = e2
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (484), (10693) imply:
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | (10694) all_52_0 = e2
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | SIMP: (10694) implies:
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | (10695) all_52_0 = e2
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | REDUCE: (714), (10695) imply:
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | (10696) op(e3, e2) = unit
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (50), (237), (10610), (10615), (10696) are
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #223.
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | End of split
% 174.28/26.67 | | | | | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | | | | Case 2:
% 174.28/26.67 | | | | | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | (10697) all_58_3 = e1
% 174.28/26.67 | | | | | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (475), (10642), (10697) are inconsistent by
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | sub-proof #460.
% 174.28/26.67 | | | | | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | | | | End of split
% 174.28/26.67 | | | | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | | | Case 2:
% 174.28/26.67 | | | | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | | | | (10698) all_58_2 = e0
% 174.28/26.67 | | | | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (478), (10698) imply:
% 174.28/26.67 | | | | | | | | | | | | | | | | | | (10699) all_52_2 = e0
% 174.28/26.67 | | | | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | | | | SIMP: (10699) implies:
% 174.28/26.67 | | | | | | | | | | | | | | | | | | (10700) all_52_2 = e0
% 174.28/26.67 | | | | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | | | | REDUCE: (748), (10700) imply:
% 174.28/26.67 | | | | | | | | | | | | | | | | | | (10701) op(e1, e0) = unit
% 174.28/26.67 | | | | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (50), (227), (10539), (10563), (10701) are
% 174.28/26.67 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #210.
% 174.28/26.67 | | | | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | | | End of split
% 174.28/26.67 | | | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | | Case 2:
% 174.28/26.67 | | | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | | | (10702) all_58_2 = e2
% 174.28/26.67 | | | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | | | REF_CLOSE: (478), (10638), (10702) are inconsistent by
% 174.28/26.67 | | | | | | | | | | | | | | | | | sub-proof #433.
% 174.28/26.67 | | | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | | End of split
% 174.28/26.67 | | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | Case 2:
% 174.28/26.67 | | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | | (10703) all_58_1 = e1
% 174.28/26.67 | | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | | COMBINE_EQS: (481), (10703) imply:
% 174.28/26.67 | | | | | | | | | | | | | | | | (10704) all_52_1 = e1
% 174.28/26.67 | | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | | SIMP: (10704) implies:
% 174.28/26.67 | | | | | | | | | | | | | | | | (10705) all_52_1 = e1
% 174.28/26.67 | | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | | REDUCE: (731), (10705) imply:
% 174.28/26.67 | | | | | | | | | | | | | | | | (10706) op(e2, e1) = unit
% 174.28/26.67 | | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_10_1, unit, e1, e2,
% 174.28/26.67 | | | | | | | | | | | | | | | | simplifying with (5838), (10706) gives:
% 174.28/26.67 | | | | | | | | | | | | | | | | (10707) all_10_1 = unit
% 174.28/26.67 | | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | | COMBINE_EQS: (9710), (10707) imply:
% 174.28/26.67 | | | | | | | | | | | | | | | | (10708) all_16_1 = unit
% 174.28/26.67 | | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | | REDUCE: (10609), (10707) imply:
% 174.28/26.67 | | | | | | | | | | | | | | | | (10709) ~ (all_40_1 = unit)
% 174.28/26.67 | | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | | REDUCE: (10537), (10707) imply:
% 174.28/26.67 | | | | | | | | | | | | | | | | (10710) ~ (all_20_1 = unit)
% 174.28/26.67 | | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | | REDUCE: (5823), (10707) imply:
% 174.28/26.67 | | | | | | | | | | | | | | | | (10711) ~ (unit = e2)
% 174.28/26.67 | | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | | REDUCE: (9691), (10707) imply:
% 174.28/26.67 | | | | | | | | | | | | | | | | (10712) ~ (unit = e1)
% 174.28/26.67 | | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | | REDUCE: (5841), (10707) imply:
% 174.28/26.67 | | | | | | | | | | | | | | | | (10713) op(e0, unit) = all_65_67
% 174.28/26.67 | | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | | BETA: splitting (852) gives:
% 174.28/26.67 | | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | | Case 1:
% 174.28/26.67 | | | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | | | (10714) unit = e2
% 174.28/26.67 | | | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | | | REDUCE: (10711), (10714) imply:
% 174.28/26.67 | | | | | | | | | | | | | | | | | (10715) $false
% 174.28/26.67 | | | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | | | CLOSE: (10715) is inconsistent.
% 174.28/26.67 | | | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | | Case 2:
% 174.28/26.67 | | | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | | | (10716) unit = e1 | unit = e0
% 174.28/26.67 | | | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | | | BETA: splitting (10716) gives:
% 174.28/26.67 | | | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | | | Case 1:
% 174.28/26.67 | | | | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | | | | (10717) unit = e1
% 174.28/26.67 | | | | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | | | | REDUCE: (10712), (10717) imply:
% 174.28/26.67 | | | | | | | | | | | | | | | | | | (10718) $false
% 174.28/26.67 | | | | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | | | | CLOSE: (10718) is inconsistent.
% 174.28/26.67 | | | | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | | | Case 2:
% 174.28/26.67 | | | | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | | | | (10719) unit = e0
% 174.28/26.67 | | | | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10708), (10719) imply:
% 174.28/26.67 | | | | | | | | | | | | | | | | | | (10720) all_16_1 = e0
% 174.28/26.67 | | | | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | | | | REDUCE: (10709), (10719) imply:
% 174.28/26.67 | | | | | | | | | | | | | | | | | | (10721) ~ (all_40_1 = e0)
% 174.28/26.67 | | | | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | | | | REDUCE: (10710), (10719) imply:
% 174.28/26.67 | | | | | | | | | | | | | | | | | | (10722) ~ (all_20_1 = e0)
% 174.28/26.67 | | | | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | | | | REDUCE: (10713), (10719) imply:
% 174.28/26.67 | | | | | | | | | | | | | | | | | | (10723) op(e0, e0) = all_65_67
% 174.28/26.67 | | | | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | | | | REDUCE: (3), (10719) imply:
% 174.28/26.67 | | | | | | | | | | | | | | | | | | (10724) op(e0, e0) = e0
% 174.28/26.67 | | | | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | | | | BETA: splitting (9705) gives:
% 174.28/26.67 | | | | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | | | | Case 1:
% 174.28/26.67 | | | | | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | (10725) ~ (all_16_1 = e0)
% 174.28/26.67 | | | | | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | REDUCE: (10720), (10725) imply:
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | (10726) $false
% 174.28/26.67 | | | | | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | CLOSE: (10726) is inconsistent.
% 174.28/26.67 | | | | | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | | | | Case 2:
% 174.28/26.67 | | | | | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | (10727) ~ (all_16_0 = e3) & op(e0, e2) = all_16_0 &
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | $i(all_16_0)
% 174.28/26.67 | | | | | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | ALPHA: (10727) implies:
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | (10728) op(e0, e2) = all_16_0
% 174.28/26.67 | | | | | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | BETA: splitting (258) gives:
% 174.28/26.67 | | | | | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | Case 1:
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | (10729) all_63_13 = e3
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10536), (10729) imply:
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | (10730) all_20_1 = e3
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | REDUCE: (10541), (10730) imply:
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | (10731) op(e3, e1) = all_65_67
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | REDUCE: (10636), (10730) imply:
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | (10732) op(e3, e3) = all_65_19
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | REDUCE: (10503), (10730) imply:
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | (10733) op(e0, e2) = e3
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | BETA: splitting (263) gives:
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | (10734) all_63_8 = e3
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10604), (10734) imply:
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | (10735) all_40_1 = e3
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | REDUCE: (10606), (10735) imply:
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | (10736) ~ (all_61_12 = e3)
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | REDUCE: (10608), (10735) imply:
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | (10737) ~ (all_61_14 = e3)
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | REDUCE: (10614), (10735) imply:
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | (10738) op(e3, e0) = all_65_35
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | REDUCE: (10632), (10735) imply:
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | (10739) op(e3, e3) = e2
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | REDUCE: (10575), (10735) imply:
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | (10740) op(e3, e1) = e3
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (268) gives:
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | | (10741) all_63_3 = e3
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (491), (10741) imply:
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | | (10742) all_61_12 = e3
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10736), (10742) imply:
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | | (10743) $false
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (10743) is inconsistent.
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | | (10744) all_63_3 = e2 | all_63_3 = e1 | all_63_3 = e0
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10744) gives:
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | | | (10745) all_63_3 = e2
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (491), (10745) imply:
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | | | (10746) all_61_12 = e2
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10505), (10746) imply:
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | | | (10747) $false
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (10747) is inconsistent.
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | | | (10748) all_63_3 = e1 | all_63_3 = e0
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10748) gives:
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | | | | (10749) all_63_3 = e1
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (491), (10579), (10749) are inconsistent by
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #491.
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | | | | (10750) all_63_3 = e0
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (491), (10750) imply:
% 174.28/26.67 | | | | | | | | | | | | | | | | | | | | | | | | (10751) all_61_12 = e0
% 174.28/26.68 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.68 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10751) implies:
% 174.28/26.68 | | | | | | | | | | | | | | | | | | | | | | | | (10752) all_61_12 = e0
% 174.28/26.68 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.68 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (179), (10752) imply:
% 174.28/26.68 | | | | | | | | | | | | | | | | | | | | | | | | (10753) ~ (all_61_14 = e0)
% 174.28/26.68 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.68 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10753) implies:
% 174.28/26.68 | | | | | | | | | | | | | | | | | | | | | | | | (10754) ~ (all_61_14 = e0)
% 174.28/26.68 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.68 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10635), (10752) imply:
% 174.28/26.68 | | | | | | | | | | | | | | | | | | | | | | | | (10755) op(e0, e2) = all_65_19
% 174.28/26.68 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.68 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10620), (10752) imply:
% 174.28/26.68 | | | | | | | | | | | | | | | | | | | | | | | | (10756) op(e3, e0) = all_61_14
% 174.28/26.68 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.68 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (752), (10752) imply:
% 174.28/26.68 | | | | | | | | | | | | | | | | | | | | | | | | (10757) op(e0, e0) = all_65_55
% 174.28/26.68 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.68 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (257) gives:
% 174.28/26.68 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.68 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.28/26.68 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | (10758) all_63_14 = e3
% 174.28/26.68 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10560), (10737), (10758) are inconsistent by
% 174.28/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #252.
% 174.28/26.68 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.68 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.28/26.68 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | (10759) all_63_14 = e2 | all_63_14 = e1 | all_63_14 = e0
% 174.28/26.68 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10759) gives:
% 174.28/26.68 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.28/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | (10760) all_63_14 = e2
% 174.28/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5776), (10560), (10760) are inconsistent by
% 174.28/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #251.
% 174.28/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.28/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | (10761) all_63_14 = e1 | all_63_14 = e0
% 174.28/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10761) gives:
% 174.28/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.28/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10762) all_63_14 = e1
% 174.28/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10560), (10762) imply:
% 174.28/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10763) all_61_14 = e1
% 174.28/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10763) implies:
% 174.28/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10764) all_61_14 = e1
% 174.28/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10631), (10764) imply:
% 174.28/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10765) op(e3, e1) = all_65_35
% 174.28/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10756), (10764) imply:
% 174.28/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10766) op(e3, e0) = e1
% 174.28/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_67, all_65_55, e0,
% 174.28/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, simplifying with (10723), (10757) gives:
% 174.28/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10767) all_65_55 = all_65_67
% 174.28/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e0, all_65_55, e0, e0,
% 174.28/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (10724), (10757) gives:
% 174.28/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10768) all_65_55 = e0
% 174.28/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e3, all_16_0, e2, e0,
% 174.28/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (10728), (10733) gives:
% 174.28/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10769) all_16_0 = e3
% 174.28/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_16_0, all_65_19, e2,
% 174.28/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, simplifying with (10728), (10755) gives:
% 174.28/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10770) all_65_19 = all_16_0
% 174.28/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e1, all_65_35, e0, e3,
% 174.28/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (10738), (10766) gives:
% 174.28/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10771) all_65_35 = e1
% 174.28/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_67, all_65_35, e1,
% 174.28/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, simplifying with (10731), (10765) gives:
% 174.28/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10772) all_65_35 = all_65_67
% 174.28/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e3, all_65_35, e1, e3,
% 174.28/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (10740), (10765) gives:
% 174.28/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10773) all_65_35 = e3
% 174.28/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e2, all_65_19, e3, e3,
% 174.28/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (10732), (10739) gives:
% 174.28/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10774) all_65_19 = e2
% 174.28/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10770), (10774) imply:
% 174.28/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10775) all_16_0 = e2
% 174.28/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10775) implies:
% 174.28/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10776) all_16_0 = e2
% 174.28/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10772), (10773) imply:
% 174.28/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10777) all_65_67 = e3
% 174.28/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10771), (10772) imply:
% 174.28/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10778) all_65_67 = e1
% 174.28/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10767), (10768) imply:
% 174.28/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10779) all_65_67 = e0
% 174.28/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10779) implies:
% 174.28/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10780) all_65_67 = e0
% 174.28/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10777), (10778) imply:
% 174.28/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10781) e3 = e1
% 174.28/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10777), (10780) imply:
% 174.28/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10782) e3 = e0
% 174.28/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10769), (10776) imply:
% 174.28/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10783) e3 = e2
% 174.28/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10783) implies:
% 174.28/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10784) e3 = e2
% 174.28/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (10781), (10782), (10784) are inconsistent
% 174.28/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #209.
% 174.28/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.28/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10785) all_63_14 = e0
% 174.28/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10560), (10785) imply:
% 174.28/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10786) all_61_14 = e0
% 174.28/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10786) implies:
% 174.28/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10787) all_61_14 = e0
% 174.28/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10754), (10787) imply:
% 174.28/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10788) $false
% 174.28/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (10788) is inconsistent.
% 174.28/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.28/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.28/26.68 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.68 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.28/26.68 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.68 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.28/26.68 | | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.68 | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.28/26.68 | | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.68 | | | | | | | | | | | | | | | | | | | | | End of split
% 174.28/26.68 | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.68 | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.28/26.68 | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.68 | | | | | | | | | | | | | | | | | | | | | (10789) all_63_8 = e2 | all_63_8 = e1 | all_63_8 = e0
% 174.28/26.68 | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.68 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10604), (10610), (10611), (10721), (10789) are
% 174.28/26.68 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #487.
% 174.28/26.68 | | | | | | | | | | | | | | | | | | | | |
% 174.28/26.68 | | | | | | | | | | | | | | | | | | | | End of split
% 174.28/26.68 | | | | | | | | | | | | | | | | | | | |
% 174.28/26.68 | | | | | | | | | | | | | | | | | | | Case 2:
% 174.28/26.68 | | | | | | | | | | | | | | | | | | | |
% 174.28/26.68 | | | | | | | | | | | | | | | | | | | | (10790) all_63_13 = e2 | all_63_13 = e1 | all_63_13 = e0
% 174.28/26.68 | | | | | | | | | | | | | | | | | | | |
% 174.28/26.68 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10536), (10538), (10539), (10722), (10790) are
% 174.28/26.68 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #380.
% 174.28/26.68 | | | | | | | | | | | | | | | | | | | |
% 174.28/26.68 | | | | | | | | | | | | | | | | | | | End of split
% 174.28/26.68 | | | | | | | | | | | | | | | | | | |
% 174.28/26.68 | | | | | | | | | | | | | | | | | | End of split
% 174.28/26.68 | | | | | | | | | | | | | | | | | |
% 174.28/26.68 | | | | | | | | | | | | | | | | | End of split
% 174.28/26.68 | | | | | | | | | | | | | | | | |
% 174.28/26.68 | | | | | | | | | | | | | | | | End of split
% 174.28/26.68 | | | | | | | | | | | | | | | |
% 174.28/26.68 | | | | | | | | | | | | | | | End of split
% 174.28/26.68 | | | | | | | | | | | | | | |
% 174.28/26.68 | | | | | | | | | | | | | | End of split
% 174.28/26.68 | | | | | | | | | | | | | |
% 174.28/26.68 | | | | | | | | | | | | | End of split
% 174.28/26.68 | | | | | | | | | | | | |
% 174.28/26.68 | | | | | | | | | | | | Case 2:
% 174.28/26.68 | | | | | | | | | | | | |
% 174.28/26.68 | | | | | | | | | | | | | (10791) all_36_2 = e0
% 174.28/26.68 | | | | | | | | | | | | | (10792) op(e3, e0) = all_36_1 & $i(all_36_1) & ( ~
% 174.28/26.68 | | | | | | | | | | | | | (all_36_1 = e2) | ( ~ (all_36_0 = e1) & op(e2,
% 174.28/26.68 | | | | | | | | | | | | | e3) = all_36_0 & $i(all_36_0)))
% 174.28/26.68 | | | | | | | | | | | | |
% 174.28/26.68 | | | | | | | | | | | | | ALPHA: (10792) implies:
% 174.28/26.68 | | | | | | | | | | | | | (10793) op(e3, e0) = all_36_1
% 174.28/26.68 | | | | | | | | | | | | |
% 174.28/26.68 | | | | | | | | | | | | | COMBINE_EQS: (557), (10791) imply:
% 174.28/26.68 | | | | | | | | | | | | | (10794) all_14_2 = e0
% 174.28/26.68 | | | | | | | | | | | | |
% 174.28/26.68 | | | | | | | | | | | | | SIMP: (10794) implies:
% 174.28/26.68 | | | | | | | | | | | | | (10795) all_14_2 = e0
% 174.28/26.68 | | | | | | | | | | | | |
% 174.28/26.68 | | | | | | | | | | | | | COMBINE_EQS: (549), (10795) imply:
% 174.28/26.68 | | | | | | | | | | | | | (10796) all_44_2 = e0
% 174.28/26.68 | | | | | | | | | | | | |
% 174.28/26.68 | | | | | | | | | | | | | REDUCE: (634), (10795) imply:
% 174.28/26.68 | | | | | | | | | | | | | (10797) op(e0, e3) = all_65_0
% 174.28/26.68 | | | | | | | | | | | | |
% 174.28/26.68 | | | | | | | | | | | | | REDUCE: (637), (10795) imply:
% 174.28/26.68 | | | | | | | | | | | | | (10798) op(e0, e0) = all_65_3
% 174.28/26.68 | | | | | | | | | | | | |
% 174.28/26.68 | | | | | | | | | | | | | REDUCE: (698), (10795) imply:
% 174.28/26.68 | | | | | | | | | | | | | (10799) op(e3, e0) = all_65_0
% 174.28/26.68 | | | | | | | | | | | | |
% 174.28/26.68 | | | | | | | | | | | | | REDUCE: (732), (10795) imply:
% 174.28/26.68 | | | | | | | | | | | | | (10800) op(e1, e0) = all_65_32
% 174.28/26.68 | | | | | | | | | | | | |
% 174.28/26.68 | | | | | | | | | | | | | REDUCE: (749), (10795) imply:
% 174.28/26.68 | | | | | | | | | | | | | (10801) op(e0, e0) = all_65_49
% 174.28/26.68 | | | | | | | | | | | | |
% 174.28/26.68 | | | | | | | | | | | | | BETA: splitting (113) gives:
% 174.28/26.68 | | | | | | | | | | | | |
% 174.28/26.68 | | | | | | | | | | | | | Case 1:
% 174.28/26.68 | | | | | | | | | | | | | |
% 174.28/26.68 | | | | | | | | | | | | | | (10802) ~ (all_44_2 = e0)
% 174.28/26.68 | | | | | | | | | | | | | |
% 174.28/26.68 | | | | | | | | | | | | | | REDUCE: (10796), (10802) imply:
% 174.28/26.68 | | | | | | | | | | | | | | (10803) $false
% 174.28/26.68 | | | | | | | | | | | | | |
% 174.28/26.68 | | | | | | | | | | | | | | CLOSE: (10803) is inconsistent.
% 174.28/26.68 | | | | | | | | | | | | | |
% 174.28/26.68 | | | | | | | | | | | | | Case 2:
% 174.28/26.68 | | | | | | | | | | | | | |
% 174.28/26.68 | | | | | | | | | | | | | | (10804) op(e3, e0) = all_44_1 & $i(all_44_1) & ( ~
% 174.28/26.68 | | | | | | | | | | | | | | (all_44_1 = e1) | ( ~ (all_44_0 = e2) & op(e1,
% 174.28/26.68 | | | | | | | | | | | | | | e3) = all_44_0 & $i(all_44_0)))
% 174.28/26.68 | | | | | | | | | | | | | |
% 174.28/26.68 | | | | | | | | | | | | | | ALPHA: (10804) implies:
% 174.28/26.68 | | | | | | | | | | | | | | (10805) op(e3, e0) = all_44_1
% 174.28/26.68 | | | | | | | | | | | | | |
% 174.28/26.68 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e2, all_65_3, e0, e0,
% 174.28/26.68 | | | | | | | | | | | | | | simplifying with (10514), (10798) gives:
% 174.28/26.68 | | | | | | | | | | | | | | (10806) all_65_3 = e2
% 174.28/26.68 | | | | | | | | | | | | | |
% 174.28/26.68 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_49, all_65_3, e0,
% 174.28/26.68 | | | | | | | | | | | | | | e0, simplifying with (10798), (10801) gives:
% 174.28/26.68 | | | | | | | | | | | | | | (10807) all_65_3 = all_65_49
% 174.28/26.68 | | | | | | | | | | | | | |
% 174.28/26.68 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_3, all_65_0, e3,
% 174.28/26.68 | | | | | | | | | | | | | | e0, simplifying with (226), (10797) gives:
% 174.28/26.68 | | | | | | | | | | | | | | (10808) all_65_0 = all_61_3
% 174.28/26.68 | | | | | | | | | | | | | |
% 174.28/26.68 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_14, all_65_32, e0,
% 174.28/26.68 | | | | | | | | | | | | | | e1, simplifying with (227), (10800) gives:
% 174.28/26.68 | | | | | | | | | | | | | | (10809) all_65_32 = all_61_14
% 174.28/26.68 | | | | | | | | | | | | | |
% 174.28/26.68 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_12, all_44_1, e0,
% 174.28/26.68 | | | | | | | | | | | | | | e3, simplifying with (235), (10805) gives:
% 174.28/26.68 | | | | | | | | | | | | | | (10810) all_61_12 = all_44_1
% 174.28/26.68 | | | | | | | | | | | | | |
% 174.28/26.68 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_12, all_65_0, e0,
% 174.28/26.68 | | | | | | | | | | | | | | e3, simplifying with (235), (10799) gives:
% 174.28/26.68 | | | | | | | | | | | | | | (10811) all_65_0 = all_61_12
% 174.28/26.68 | | | | | | | | | | | | | |
% 174.28/26.68 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_36_1, all_65_0, e0,
% 174.28/26.68 | | | | | | | | | | | | | | e3, simplifying with (10793), (10799) gives:
% 174.28/26.68 | | | | | | | | | | | | | | (10812) all_65_0 = all_36_1
% 174.28/26.68 | | | | | | | | | | | | | |
% 174.28/26.68 | | | | | | | | | | | | | | COMBINE_EQS: (10811), (10812) imply:
% 174.28/26.68 | | | | | | | | | | | | | | (10813) all_61_12 = all_36_1
% 174.28/26.68 | | | | | | | | | | | | | |
% 174.28/26.68 | | | | | | | | | | | | | | SIMP: (10813) implies:
% 174.28/26.68 | | | | | | | | | | | | | | (10814) all_61_12 = all_36_1
% 174.28/26.68 | | | | | | | | | | | | | |
% 174.28/26.68 | | | | | | | | | | | | | | COMBINE_EQS: (10808), (10812) imply:
% 174.28/26.68 | | | | | | | | | | | | | | (10815) all_61_3 = all_36_1
% 174.28/26.68 | | | | | | | | | | | | | |
% 174.28/26.68 | | | | | | | | | | | | | | SIMP: (10815) implies:
% 174.28/26.68 | | | | | | | | | | | | | | (10816) all_61_3 = all_36_1
% 174.28/26.68 | | | | | | | | | | | | | |
% 174.28/26.68 | | | | | | | | | | | | | | COMBINE_EQS: (10806), (10807) imply:
% 174.28/26.68 | | | | | | | | | | | | | | (10817) all_65_49 = e2
% 174.28/26.68 | | | | | | | | | | | | | |
% 174.28/26.68 | | | | | | | | | | | | | | COMBINE_EQS: (10810), (10814) imply:
% 174.28/26.68 | | | | | | | | | | | | | | (10818) all_44_1 = all_36_1
% 174.28/26.68 | | | | | | | | | | | | | |
% 174.28/26.68 | | | | | | | | | | | | | | REDUCE: (211), (10816) imply:
% 174.28/26.68 | | | | | | | | | | | | | | (10819) ~ (all_61_2 = all_36_1)
% 174.28/26.68 | | | | | | | | | | | | | |
% 174.28/26.68 | | | | | | | | | | | | | | REDUCE: (685), (10816) imply:
% 174.28/26.68 | | | | | | | | | | | | | | (10820) op(all_36_1, e0) = all_65_55
% 174.28/26.68 | | | | | | | | | | | | | |
% 174.28/26.68 | | | | | | | | | | | | | | REDUCE: (10544), (10814) imply:
% 174.28/26.68 | | | | | | | | | | | | | | (10821) op(all_36_1, e0) = all_61_4
% 174.28/26.68 | | | | | | | | | | | | | |
% 174.28/26.68 | | | | | | | | | | | | | | REDUCE: (10552), (10816) imply:
% 174.28/26.68 | | | | | | | | | | | | | | (10822) op(e0, all_36_1) = all_61_1
% 174.28/26.68 | | | | | | | | | | | | | |
% 174.28/26.68 | | | | | | | | | | | | | | REDUCE: (752), (10814) imply:
% 174.28/26.68 | | | | | | | | | | | | | | (10823) op(e0, all_36_1) = all_65_55
% 174.28/26.68 | | | | | | | | | | | | | |
% 174.28/26.68 | | | | | | | | | | | | | | REDUCE: (226), (10816) imply:
% 174.28/26.68 | | | | | | | | | | | | | | (10824) op(e0, e3) = all_36_1
% 174.28/26.68 | | | | | | | | | | | | | |
% 174.28/26.68 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_1, all_65_55,
% 174.28/26.68 | | | | | | | | | | | | | | all_36_1, e0, simplifying with (10822), (10823)
% 174.28/26.68 | | | | | | | | | | | | | | gives:
% 174.28/26.68 | | | | | | | | | | | | | | (10825) all_65_55 = all_61_1
% 174.28/26.68 | | | | | | | | | | | | | |
% 174.28/26.68 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_4, all_65_55, e0,
% 174.28/26.68 | | | | | | | | | | | | | | all_36_1, simplifying with (10820), (10821) gives:
% 174.28/26.68 | | | | | | | | | | | | | | (10826) all_65_55 = all_61_4
% 174.28/26.68 | | | | | | | | | | | | | |
% 174.28/26.68 | | | | | | | | | | | | | | COMBINE_EQS: (10825), (10826) imply:
% 174.28/26.68 | | | | | | | | | | | | | | (10827) all_61_1 = all_61_4
% 174.28/26.68 | | | | | | | | | | | | | |
% 174.28/26.68 | | | | | | | | | | | | | | REDUCE: (651), (10827) imply:
% 174.28/26.68 | | | | | | | | | | | | | | (10828) op(all_61_4, e2) = all_65_17
% 174.28/26.68 | | | | | | | | | | | | | |
% 174.28/26.68 | | | | | | | | | | | | | | REDUCE: (9722), (10827) imply:
% 174.28/26.68 | | | | | | | | | | | | | | (10829) op(e2, all_61_4) = all_61_2
% 174.28/26.68 | | | | | | | | | | | | | |
% 174.28/26.68 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_17, all_61_2,
% 174.28/26.68 | | | | | | | | | | | | | | all_61_4, e2, simplifying with (716), (10829)
% 174.28/26.68 | | | | | | | | | | | | | | gives:
% 174.28/26.68 | | | | | | | | | | | | | | (10830) all_65_17 = all_61_2
% 174.28/26.68 | | | | | | | | | | | | | |
% 174.28/26.68 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_8, all_65_17, e2,
% 174.28/26.68 | | | | | | | | | | | | | | all_61_4, simplifying with (9719), (10828) gives:
% 174.28/26.68 | | | | | | | | | | | | | | (10831) all_65_17 = all_61_8
% 174.28/26.68 | | | | | | | | | | | | | |
% 174.28/26.68 | | | | | | | | | | | | | | COMBINE_EQS: (10830), (10831) imply:
% 174.28/26.68 | | | | | | | | | | | | | | (10832) all_61_2 = all_61_8
% 174.28/26.68 | | | | | | | | | | | | | |
% 174.28/26.68 | | | | | | | | | | | | | | SIMP: (10832) implies:
% 174.28/26.68 | | | | | | | | | | | | | | (10833) all_61_2 = all_61_8
% 174.28/26.68 | | | | | | | | | | | | | |
% 174.28/26.68 | | | | | | | | | | | | | | REDUCE: (10819), (10833) imply:
% 174.28/26.68 | | | | | | | | | | | | | | (10834) ~ (all_61_8 = all_36_1)
% 174.28/26.68 | | | | | | | | | | | | | |
% 174.28/26.68 | | | | | | | | | | | | | | BETA: splitting (157) gives:
% 174.28/26.68 | | | | | | | | | | | | | |
% 174.28/26.68 | | | | | | | | | | | | | | Case 1:
% 174.28/26.68 | | | | | | | | | | | | | | |
% 174.28/26.68 | | | | | | | | | | | | | | | (10835) ~ (all_58_3 = e1)
% 174.28/26.68 | | | | | | | | | | | | | | |
% 174.28/26.68 | | | | | | | | | | | | | | | REDUCE: (475), (10835) imply:
% 174.28/26.68 | | | | | | | | | | | | | | | (10836) ~ (all_52_3 = e1)
% 174.28/26.68 | | | | | | | | | | | | | | |
% 174.28/26.68 | | | | | | | | | | | | | | | BETA: splitting (160) gives:
% 174.28/26.68 | | | | | | | | | | | | | | |
% 174.28/26.68 | | | | | | | | | | | | | | | Case 1:
% 174.28/26.68 | | | | | | | | | | | | | | | |
% 174.28/26.68 | | | | | | | | | | | | | | | | (10837) ~ (all_58_2 = e0)
% 174.28/26.68 | | | | | | | | | | | | | | | |
% 174.28/26.68 | | | | | | | | | | | | | | | | REDUCE: (478), (10837) imply:
% 174.28/26.68 | | | | | | | | | | | | | | | | (10838) ~ (all_52_2 = e0)
% 174.28/26.68 | | | | | | | | | | | | | | | |
% 174.28/26.68 | | | | | | | | | | | | | | | | BETA: splitting (161) gives:
% 174.28/26.68 | | | | | | | | | | | | | | | |
% 174.28/26.68 | | | | | | | | | | | | | | | | Case 1:
% 174.28/26.68 | | | | | | | | | | | | | | | | |
% 174.28/26.68 | | | | | | | | | | | | | | | | | (10839) ~ (all_58_2 = e2)
% 174.28/26.68 | | | | | | | | | | | | | | | | |
% 174.28/26.68 | | | | | | | | | | | | | | | | | REDUCE: (478), (10839) imply:
% 174.28/26.68 | | | | | | | | | | | | | | | | | (10840) ~ (all_52_2 = e2)
% 174.28/26.68 | | | | | | | | | | | | | | | | |
% 174.28/26.68 | | | | | | | | | | | | | | | | | BETA: splitting (164) gives:
% 174.28/26.68 | | | | | | | | | | | | | | | | |
% 174.28/26.68 | | | | | | | | | | | | | | | | | Case 1:
% 174.28/26.68 | | | | | | | | | | | | | | | | | |
% 174.28/26.68 | | | | | | | | | | | | | | | | | | (10841) ~ (all_58_1 = e1)
% 174.28/26.68 | | | | | | | | | | | | | | | | | |
% 174.28/26.68 | | | | | | | | | | | | | | | | | | REDUCE: (481), (10841) imply:
% 174.28/26.68 | | | | | | | | | | | | | | | | | | (10842) ~ (all_52_1 = e1)
% 174.28/26.68 | | | | | | | | | | | | | | | | | |
% 174.28/26.68 | | | | | | | | | | | | | | | | | | BETA: splitting (163) gives:
% 174.28/26.68 | | | | | | | | | | | | | | | | | |
% 174.28/26.68 | | | | | | | | | | | | | | | | | | Case 1:
% 174.28/26.68 | | | | | | | | | | | | | | | | | | |
% 174.28/26.68 | | | | | | | | | | | | | | | | | | | (10843) ~ (all_58_1 = e0)
% 174.28/26.68 | | | | | | | | | | | | | | | | | | |
% 174.28/26.68 | | | | | | | | | | | | | | | | | | | REDUCE: (481), (10843) imply:
% 174.28/26.68 | | | | | | | | | | | | | | | | | | | (10844) ~ (all_52_1 = e0)
% 174.28/26.68 | | | | | | | | | | | | | | | | | | |
% 174.28/26.68 | | | | | | | | | | | | | | | | | | | BETA: splitting (162) gives:
% 174.28/26.68 | | | | | | | | | | | | | | | | | | |
% 174.28/26.68 | | | | | | | | | | | | | | | | | | | Case 1:
% 174.28/26.68 | | | | | | | | | | | | | | | | | | | |
% 174.28/26.68 | | | | | | | | | | | | | | | | | | | | (10845) ~ (all_58_2 = e3)
% 174.28/26.68 | | | | | | | | | | | | | | | | | | | |
% 174.28/26.68 | | | | | | | | | | | | | | | | | | | | REDUCE: (478), (10845) imply:
% 174.28/26.68 | | | | | | | | | | | | | | | | | | | | (10846) ~ (all_52_2 = e3)
% 174.28/26.68 | | | | | | | | | | | | | | | | | | | |
% 174.28/26.68 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (50), (149), (161), (478), (481), (538),
% 174.28/26.68 | | | | | | | | | | | | | | | | | | | | (748), (5784), (9698), (10838), (10842), (10846)
% 174.28/26.68 | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #227.
% 174.28/26.68 | | | | | | | | | | | | | | | | | | | |
% 174.28/26.68 | | | | | | | | | | | | | | | | | | | Case 2:
% 174.28/26.68 | | | | | | | | | | | | | | | | | | | |
% 174.28/26.68 | | | | | | | | | | | | | | | | | | | | (10847) all_58_2 = e3
% 174.28/26.68 | | | | | | | | | | | | | | | | | | | | (10848) all_58_0 = e1
% 174.28/26.68 | | | | | | | | | | | | | | | | | | | |
% 174.28/26.68 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (50), (148), (150), (478), (484), (536), (539),
% 174.28/26.68 | | | | | | | | | | | | | | | | | | | | (628), (630), (631), (632), (633), (731), (765),
% 174.28/26.68 | | | | | | | | | | | | | | | | | | | | (9698), (10514), (10844), (10847), (10848) are
% 174.28/26.68 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #307.
% 174.28/26.68 | | | | | | | | | | | | | | | | | | | |
% 174.28/26.68 | | | | | | | | | | | | | | | | | | | End of split
% 174.28/26.68 | | | | | | | | | | | | | | | | | | |
% 174.28/26.68 | | | | | | | | | | | | | | | | | | Case 2:
% 174.28/26.68 | | | | | | | | | | | | | | | | | | |
% 174.28/26.68 | | | | | | | | | | | | | | | | | | | (10849) all_58_3 = e2
% 174.28/26.68 | | | | | | | | | | | | | | | | | | | (10850) all_58_1 = e0
% 174.28/26.68 | | | | | | | | | | | | | | | | | | |
% 174.28/26.68 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (50), (225), (231), (475), (481), (663),
% 174.28/26.68 | | | | | | | | | | | | | | | | | | | (728), (731), (765), (5776), (9720), (9723),
% 174.28/26.68 | | | | | | | | | | | | | | | | | | | (10849), (10850) are inconsistent by sub-proof
% 174.28/26.68 | | | | | | | | | | | | | | | | | | | #208.
% 174.28/26.68 | | | | | | | | | | | | | | | | | | |
% 174.28/26.68 | | | | | | | | | | | | | | | | | | End of split
% 174.28/26.68 | | | | | | | | | | | | | | | | | |
% 174.28/26.68 | | | | | | | | | | | | | | | | | Case 2:
% 174.28/26.68 | | | | | | | | | | | | | | | | | |
% 174.28/26.68 | | | | | | | | | | | | | | | | | | (10851) all_58_2 = e2
% 174.28/26.68 | | | | | | | | | | | | | | | | | |
% 174.28/26.68 | | | | | | | | | | | | | | | | | | REF_CLOSE: (478), (10840), (10851) are inconsistent by
% 174.28/26.68 | | | | | | | | | | | | | | | | | | sub-proof #433.
% 174.28/26.68 | | | | | | | | | | | | | | | | | |
% 174.62/26.68 | | | | | | | | | | | | | | | | | End of split
% 174.62/26.68 | | | | | | | | | | | | | | | | |
% 174.62/26.68 | | | | | | | | | | | | | | | | Case 2:
% 174.62/26.68 | | | | | | | | | | | | | | | | |
% 174.62/26.68 | | | | | | | | | | | | | | | | | (10852) all_58_1 = e1
% 174.62/26.68 | | | | | | | | | | | | | | | | |
% 174.62/26.68 | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (50), (188), (224), (269), (481), (489),
% 174.62/26.68 | | | | | | | | | | | | | | | | | (731), (852), (5773), (5790), (5806), (5817),
% 174.62/26.68 | | | | | | | | | | | | | | | | | (5823), (5824), (5838), (9691), (9692), (10824),
% 174.62/26.68 | | | | | | | | | | | | | | | | | (10834), (10852) are inconsistent by sub-proof
% 174.62/26.68 | | | | | | | | | | | | | | | | | #221.
% 174.62/26.68 | | | | | | | | | | | | | | | | |
% 174.62/26.68 | | | | | | | | | | | | | | | | End of split
% 174.62/26.68 | | | | | | | | | | | | | | | |
% 174.62/26.68 | | | | | | | | | | | | | | | Case 2:
% 174.62/26.68 | | | | | | | | | | | | | | | |
% 174.62/26.68 | | | | | | | | | | | | | | | | (10853) all_58_3 = e1
% 174.62/26.68 | | | | | | | | | | | | | | | |
% 174.62/26.68 | | | | | | | | | | | | | | | | REF_CLOSE: (475), (10836), (10853) are inconsistent by
% 174.62/26.68 | | | | | | | | | | | | | | | | sub-proof #460.
% 174.62/26.68 | | | | | | | | | | | | | | | |
% 174.62/26.68 | | | | | | | | | | | | | | | End of split
% 174.62/26.68 | | | | | | | | | | | | | | |
% 174.62/26.68 | | | | | | | | | | | | | | Case 2:
% 174.62/26.68 | | | | | | | | | | | | | | |
% 174.62/26.68 | | | | | | | | | | | | | | | (10854) all_58_2 = e0
% 174.62/26.68 | | | | | | | | | | | | | | |
% 174.62/26.68 | | | | | | | | | | | | | | | COMBINE_EQS: (478), (10854) imply:
% 174.62/26.68 | | | | | | | | | | | | | | | (10855) all_52_2 = e0
% 174.62/26.68 | | | | | | | | | | | | | | |
% 174.62/26.68 | | | | | | | | | | | | | | | SIMP: (10855) implies:
% 174.62/26.68 | | | | | | | | | | | | | | | (10856) all_52_2 = e0
% 174.62/26.68 | | | | | | | | | | | | | | |
% 174.62/26.68 | | | | | | | | | | | | | | | REDUCE: (748), (10856) imply:
% 174.62/26.68 | | | | | | | | | | | | | | | (10857) op(e1, e0) = unit
% 174.62/26.68 | | | | | | | | | | | | | | |
% 174.62/26.68 | | | | | | | | | | | | | | | REF_CLOSE: (8), (50), (227), (10539), (10563), (10857) are
% 174.62/26.68 | | | | | | | | | | | | | | | inconsistent by sub-proof #210.
% 174.62/26.68 | | | | | | | | | | | | | | |
% 174.62/26.68 | | | | | | | | | | | | | | End of split
% 174.62/26.68 | | | | | | | | | | | | | |
% 174.62/26.68 | | | | | | | | | | | | | End of split
% 174.62/26.68 | | | | | | | | | | | | |
% 174.62/26.68 | | | | | | | | | | | | End of split
% 174.62/26.68 | | | | | | | | | | | |
% 174.62/26.68 | | | | | | | | | | | End of split
% 174.62/26.68 | | | | | | | | | | |
% 174.62/26.68 | | | | | | | | | | End of split
% 174.62/26.68 | | | | | | | | | |
% 174.62/26.68 | | | | | | | | | Case 2:
% 174.62/26.68 | | | | | | | | | |
% 174.62/26.68 | | | | | | | | | | (10858) all_14_2 = e2
% 174.62/26.68 | | | | | | | | | | (10859) op(e3, e2) = all_14_1 & $i(all_14_1) & ( ~
% 174.62/26.68 | | | | | | | | | | (all_14_1 = e0) | ( ~ (all_14_0 = e1) & op(e0,
% 174.62/26.68 | | | | | | | | | | e3) = all_14_0 & $i(all_14_0)))
% 174.62/26.68 | | | | | | | | | |
% 174.62/26.68 | | | | | | | | | | ALPHA: (10859) implies:
% 174.62/26.68 | | | | | | | | | | (10860) op(e3, e2) = all_14_1
% 174.62/26.68 | | | | | | | | | |
% 174.62/26.68 | | | | | | | | | | COMBINE_EQS: (561), (10858) imply:
% 174.62/26.68 | | | | | | | | | | (10861) all_26_2 = e2
% 174.62/26.68 | | | | | | | | | |
% 174.62/26.68 | | | | | | | | | | REDUCE: (597), (10858) imply:
% 174.62/26.68 | | | | | | | | | | (10862) ~ (all_61_3 = e2)
% 174.62/26.68 | | | | | | | | | |
% 174.62/26.68 | | | | | | | | | | REDUCE: (599), (10858) imply:
% 174.62/26.68 | | | | | | | | | | (10863) ~ (all_61_4 = e2)
% 174.62/26.68 | | | | | | | | | |
% 174.62/26.68 | | | | | | | | | | REDUCE: (603), (10858) imply:
% 174.62/26.68 | | | | | | | | | | (10864) ~ (all_61_12 = e2)
% 174.62/26.68 | | | | | | | | | |
% 174.62/26.68 | | | | | | | | | | REDUCE: (634), (10858) imply:
% 174.62/26.68 | | | | | | | | | | (10865) op(e2, e3) = all_65_0
% 174.62/26.68 | | | | | | | | | |
% 174.62/26.68 | | | | | | | | | | REDUCE: (635), (10858) imply:
% 174.62/26.68 | | | | | | | | | | (10866) op(e2, e2) = all_65_1
% 174.62/26.68 | | | | | | | | | |
% 174.62/26.68 | | | | | | | | | | REDUCE: (636), (10858) imply:
% 174.62/26.68 | | | | | | | | | | (10867) op(e2, e1) = all_65_2
% 174.62/26.68 | | | | | | | | | |
% 174.62/26.68 | | | | | | | | | | REDUCE: (637), (10858) imply:
% 174.62/26.68 | | | | | | | | | | (10868) op(e2, e0) = all_65_3
% 174.62/26.68 | | | | | | | | | |
% 174.62/26.68 | | | | | | | | | | REDUCE: (698), (10858) imply:
% 174.62/26.68 | | | | | | | | | | (10869) op(e3, e2) = all_65_0
% 174.62/26.68 | | | | | | | | | |
% 174.62/26.68 | | | | | | | | | | REDUCE: (67), (10858) imply:
% 174.62/26.68 | | | | | | | | | | (10870) op(e3, e3) = e2
% 174.62/26.68 | | | | | | | | | |
% 174.62/26.68 | | | | | | | | | | REDUCE: (715), (10858) imply:
% 174.62/26.68 | | | | | | | | | | (10871) op(e2, e2) = all_65_16
% 174.62/26.68 | | | | | | | | | |
% 174.62/26.68 | | | | | | | | | | REDUCE: (732), (10858) imply:
% 174.62/26.68 | | | | | | | | | | (10872) op(e1, e2) = all_65_32
% 174.62/26.68 | | | | | | | | | |
% 174.62/26.68 | | | | | | | | | | REDUCE: (749), (10858) imply:
% 174.62/26.68 | | | | | | | | | | (10873) op(e0, e2) = all_65_49
% 174.62/26.68 | | | | | | | | | |
% 174.62/26.69 | | | | | | | | | | BETA: splitting (86) gives:
% 174.62/26.69 | | | | | | | | | |
% 174.62/26.69 | | | | | | | | | | Case 1:
% 174.62/26.69 | | | | | | | | | | |
% 174.62/26.69 | | | | | | | | | | | (10874) ~ (all_26_2 = e2)
% 174.62/26.69 | | | | | | | | | | |
% 174.62/26.69 | | | | | | | | | | | REDUCE: (10861), (10874) imply:
% 174.62/26.69 | | | | | | | | | | | (10875) $false
% 174.62/26.69 | | | | | | | | | | |
% 174.62/26.69 | | | | | | | | | | | CLOSE: (10875) is inconsistent.
% 174.62/26.69 | | | | | | | | | | |
% 174.62/26.69 | | | | | | | | | | Case 2:
% 174.62/26.69 | | | | | | | | | | |
% 174.62/26.69 | | | | | | | | | | | (10876) op(e3, e2) = all_26_1 & $i(all_26_1) & ( ~
% 174.62/26.69 | | | | | | | | | | | (all_26_1 = e1) | ( ~ (all_26_0 = e0) & op(e1,
% 174.62/26.69 | | | | | | | | | | | e3) = all_26_0 & $i(all_26_0)))
% 174.62/26.69 | | | | | | | | | | |
% 174.62/26.69 | | | | | | | | | | | ALPHA: (10876) implies:
% 174.62/26.69 | | | | | | | | | | | (10877) op(e3, e2) = all_26_1
% 174.62/26.69 | | | | | | | | | | |
% 174.62/26.69 | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_7, all_65_49, e2,
% 174.62/26.69 | | | | | | | | | | | e0, simplifying with (225), (10873) gives:
% 174.62/26.69 | | | | | | | | | | | (10878) all_65_49 = all_61_7
% 174.62/26.69 | | | | | | | | | | |
% 174.62/26.69 | | | | | | | | | | | GROUND_INST: instantiating (50) with all_10_1, all_65_32, e2,
% 174.62/26.69 | | | | | | | | | | | e1, simplifying with (5768), (10872) gives:
% 174.62/26.69 | | | | | | | | | | | (10879) all_65_32 = all_10_1
% 174.62/26.69 | | | | | | | | | | |
% 174.62/26.69 | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_13, all_65_3, e0,
% 174.62/26.69 | | | | | | | | | | | e2, simplifying with (231), (10868) gives:
% 174.62/26.69 | | | | | | | | | | | (10880) all_65_3 = all_61_13
% 174.62/26.69 | | | | | | | | | | |
% 174.62/26.69 | | | | | | | | | | | GROUND_INST: instantiating (50) with all_10_1, all_65_2, e1,
% 174.62/26.69 | | | | | | | | | | | e2, simplifying with (5838), (10867) gives:
% 174.62/26.69 | | | | | | | | | | | (10881) all_65_2 = all_10_1
% 174.62/26.69 | | | | | | | | | | |
% 174.62/26.69 | | | | | | | | | | | GROUND_INST: instantiating (50) with e1, all_65_1, e2, e2,
% 174.62/26.69 | | | | | | | | | | | simplifying with (9698), (10866) gives:
% 174.62/26.69 | | | | | | | | | | | (10882) all_65_1 = e1
% 174.62/26.69 | | | | | | | | | | |
% 174.62/26.69 | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_16, all_65_1, e2,
% 174.62/26.69 | | | | | | | | | | | e2, simplifying with (10866), (10871) gives:
% 174.62/26.69 | | | | | | | | | | | (10883) all_65_1 = all_65_16
% 174.62/26.69 | | | | | | | | | | |
% 174.62/26.69 | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_1, all_65_0, e3,
% 174.62/26.69 | | | | | | | | | | | e2, simplifying with (234), (10865) gives:
% 174.62/26.69 | | | | | | | | | | | (10884) all_65_0 = all_61_1
% 174.62/26.69 | | | | | | | | | | |
% 174.62/26.69 | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_4, all_26_1, e2,
% 174.62/26.69 | | | | | | | | | | | e3, simplifying with (237), (10877) gives:
% 174.62/26.69 | | | | | | | | | | | (10885) all_61_4 = all_26_1
% 174.62/26.69 | | | | | | | | | | |
% 174.62/26.69 | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_4, all_65_0, e2,
% 174.62/26.69 | | | | | | | | | | | e3, simplifying with (237), (10869) gives:
% 174.62/26.69 | | | | | | | | | | | (10886) all_65_0 = all_61_4
% 174.62/26.69 | | | | | | | | | | |
% 174.62/26.69 | | | | | | | | | | | GROUND_INST: instantiating (50) with all_14_1, all_65_0, e2,
% 174.62/26.69 | | | | | | | | | | | e3, simplifying with (10860), (10869) gives:
% 174.62/26.69 | | | | | | | | | | | (10887) all_65_0 = all_14_1
% 174.62/26.69 | | | | | | | | | | |
% 174.62/26.69 | | | | | | | | | | | COMBINE_EQS: (10886), (10887) imply:
% 174.62/26.69 | | | | | | | | | | | (10888) all_61_4 = all_14_1
% 174.62/26.69 | | | | | | | | | | |
% 174.62/26.69 | | | | | | | | | | | SIMP: (10888) implies:
% 174.62/26.69 | | | | | | | | | | | (10889) all_61_4 = all_14_1
% 174.62/26.69 | | | | | | | | | | |
% 174.62/26.69 | | | | | | | | | | | COMBINE_EQS: (10884), (10887) imply:
% 174.62/26.69 | | | | | | | | | | | (10890) all_61_1 = all_14_1
% 174.62/26.69 | | | | | | | | | | |
% 174.62/26.69 | | | | | | | | | | | SIMP: (10890) implies:
% 174.62/26.69 | | | | | | | | | | | (10891) all_61_1 = all_14_1
% 174.62/26.69 | | | | | | | | | | |
% 174.62/26.69 | | | | | | | | | | | COMBINE_EQS: (10882), (10883) imply:
% 174.62/26.69 | | | | | | | | | | | (10892) all_65_16 = e1
% 174.62/26.69 | | | | | | | | | | |
% 174.62/26.69 | | | | | | | | | | | SIMP: (10892) implies:
% 174.62/26.69 | | | | | | | | | | | (10893) all_65_16 = e1
% 174.62/26.69 | | | | | | | | | | |
% 174.62/26.69 | | | | | | | | | | | COMBINE_EQS: (10885), (10889) imply:
% 174.62/26.69 | | | | | | | | | | | (10894) all_26_1 = all_14_1
% 174.62/26.69 | | | | | | | | | | |
% 174.62/26.69 | | | | | | | | | | | SIMP: (10894) implies:
% 174.62/26.69 | | | | | | | | | | | (10895) all_26_1 = all_14_1
% 174.62/26.69 | | | | | | | | | | |
% 174.62/26.69 | | | | | | | | | | | COMBINE_EQS: (493), (10891) imply:
% 174.62/26.69 | | | | | | | | | | | (10896) all_63_4 = all_14_1
% 174.62/26.69 | | | | | | | | | | |
% 174.62/26.69 | | | | | | | | | | | COMBINE_EQS: (488), (10889) imply:
% 174.62/26.69 | | | | | | | | | | | (10897) all_63_1 = all_14_1
% 174.62/26.69 | | | | | | | | | | |
% 174.62/26.69 | | | | | | | | | | | REDUCE: (216), (10891) imply:
% 174.62/26.69 | | | | | | | | | | | (10898) ~ (all_61_2 = all_14_1)
% 174.62/26.69 | | | | | | | | | | |
% 174.62/26.69 | | | | | | | | | | | SIMP: (10898) implies:
% 174.62/26.69 | | | | | | | | | | | (10899) ~ (all_61_2 = all_14_1)
% 174.62/26.69 | | | | | | | | | | |
% 174.62/26.69 | | | | | | | | | | | REDUCE: (215), (10891) imply:
% 174.62/26.69 | | | | | | | | | | | (10900) ~ (all_61_3 = all_14_1)
% 174.62/26.69 | | | | | | | | | | |
% 174.62/26.69 | | | | | | | | | | | SIMP: (10900) implies:
% 174.62/26.69 | | | | | | | | | | | (10901) ~ (all_61_3 = all_14_1)
% 174.62/26.69 | | | | | | | | | | |
% 174.62/26.69 | | | | | | | | | | | REDUCE: (212), (10891) imply:
% 174.62/26.69 | | | | | | | | | | | (10902) ~ (all_61_13 = all_14_1)
% 174.62/26.69 | | | | | | | | | | |
% 174.62/26.69 | | | | | | | | | | | SIMP: (10902) implies:
% 174.62/26.69 | | | | | | | | | | | (10903) ~ (all_61_13 = all_14_1)
% 174.62/26.69 | | | | | | | | | | |
% 174.62/26.69 | | | | | | | | | | | REDUCE: (202), (10889) imply:
% 174.62/26.69 | | | | | | | | | | | (10904) ~ (all_61_7 = all_14_1)
% 174.62/26.69 | | | | | | | | | | |
% 174.62/26.69 | | | | | | | | | | | SIMP: (10904) implies:
% 174.62/26.69 | | | | | | | | | | | (10905) ~ (all_61_7 = all_14_1)
% 174.62/26.69 | | | | | | | | | | |
% 174.62/26.69 | | | | | | | | | | | REDUCE: (200), (10889) imply:
% 174.62/26.69 | | | | | | | | | | | (10906) ~ (all_61_12 = all_14_1)
% 174.62/26.69 | | | | | | | | | | |
% 174.62/26.69 | | | | | | | | | | | SIMP: (10906) implies:
% 174.62/26.69 | | | | | | | | | | | (10907) ~ (all_61_12 = all_14_1)
% 174.62/26.69 | | | | | | | | | | |
% 174.62/26.69 | | | | | | | | | | | REDUCE: (5812), (10889) imply:
% 174.62/26.69 | | | | | | | | | | | (10908) ~ (all_14_1 = all_10_1)
% 174.62/26.69 | | | | | | | | | | |
% 174.62/26.69 | | | | | | | | | | | REDUCE: (10863), (10889) imply:
% 174.62/26.69 | | | | | | | | | | | (10909) ~ (all_14_1 = e2)
% 174.62/26.69 | | | | | | | | | | |
% 174.62/26.69 | | | | | | | | | | | REDUCE: (9688), (10889) imply:
% 174.62/26.69 | | | | | | | | | | | (10910) ~ (all_14_1 = e1)
% 174.62/26.69 | | | | | | | | | | |
% 174.62/26.69 | | | | | | | | | | | REDUCE: (651), (10891) imply:
% 174.62/26.69 | | | | | | | | | | | (10911) op(all_14_1, e2) = all_65_17
% 174.62/26.69 | | | | | | | | | | |
% 174.62/26.69 | | | | | | | | | | | REDUCE: (652), (10891) imply:
% 174.62/26.69 | | | | | | | | | | | (10912) op(all_14_1, e1) = all_65_18
% 174.62/26.69 | | | | | | | | | | |
% 174.62/26.69 | | | | | | | | | | | REDUCE: (653), (10891) imply:
% 174.62/26.69 | | | | | | | | | | | (10913) op(all_14_1, e0) = all_65_19
% 174.62/26.69 | | | | | | | | | | |
% 174.62/26.69 | | | | | | | | | | | REDUCE: (666), (10879) imply:
% 174.62/26.69 | | | | | | | | | | | (10914) op(all_61_2, e3) = all_10_1
% 174.62/26.69 | | | | | | | | | | |
% 174.62/26.69 | | | | | | | | | | | REDUCE: (682), (10878) imply:
% 174.62/26.69 | | | | | | | | | | | (10915) op(all_61_3, e3) = all_61_7
% 174.62/26.69 | | | | | | | | | | |
% 174.62/26.69 | | | | | | | | | | | REDUCE: (9719), (10889) imply:
% 174.62/26.69 | | | | | | | | | | | (10916) op(all_14_1, e2) = all_61_8
% 174.62/26.69 | | | | | | | | | | |
% 174.62/26.69 | | | | | | | | | | | REDUCE: (5851), (10889) imply:
% 174.62/26.69 | | | | | | | | | | | (10917) op(all_14_1, e1) = all_65_9
% 174.62/26.69 | | | | | | | | | | |
% 174.62/26.69 | | | | | | | | | | | REDUCE: (641), (10889) imply:
% 174.62/26.69 | | | | | | | | | | | (10918) op(all_14_1, e0) = all_65_7
% 174.62/26.69 | | | | | | | | | | |
% 174.62/26.69 | | | | | | | | | | | REDUCE: (701), (10880) imply:
% 174.62/26.69 | | | | | | | | | | | (10919) op(e3, all_61_12) = all_61_13
% 174.62/26.69 | | | | | | | | | | |
% 174.62/26.69 | | | | | | | | | | | REDUCE: (9722), (10891) imply:
% 174.62/26.69 | | | | | | | | | | | (10920) op(e2, all_14_1) = all_61_2
% 174.62/26.69 | | | | | | | | | | |
% 174.62/26.69 | | | | | | | | | | | REDUCE: (716), (10889) imply:
% 174.62/26.69 | | | | | | | | | | | (10921) op(e2, all_14_1) = all_65_17
% 174.62/26.69 | | | | | | | | | | |
% 174.62/26.69 | | | | | | | | | | | REDUCE: (736), (10891) imply:
% 174.62/26.69 | | | | | | | | | | | (10922) op(e1, all_14_1) = all_65_36
% 174.62/26.69 | | | | | | | | | | |
% 174.62/26.69 | | | | | | | | | | | REDUCE: (733), (10889) imply:
% 174.62/26.69 | | | | | | | | | | | (10923) op(e1, all_14_1) = all_65_33
% 174.62/26.69 | | | | | | | | | | |
% 174.62/26.69 | | | | | | | | | | | REDUCE: (753), (10891) imply:
% 174.62/26.69 | | | | | | | | | | | (10924) op(e0, all_14_1) = all_65_57
% 174.62/26.69 | | | | | | | | | | |
% 174.62/26.69 | | | | | | | | | | | REDUCE: (750), (10889) imply:
% 174.62/26.69 | | | | | | | | | | | (10925) op(e0, all_14_1) = all_65_51
% 174.62/26.69 | | | | | | | | | | |
% 174.62/26.69 | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_57, all_65_51,
% 174.62/26.69 | | | | | | | | | | | all_14_1, e0, simplifying with (10924), (10925)
% 174.62/26.69 | | | | | | | | | | | gives:
% 174.62/26.69 | | | | | | | | | | | (10926) all_65_51 = all_65_57
% 174.62/26.69 | | | | | | | | | | |
% 174.62/26.69 | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_36, all_65_33,
% 174.62/26.69 | | | | | | | | | | | all_14_1, e1, simplifying with (10922), (10923)
% 174.62/26.69 | | | | | | | | | | | gives:
% 174.62/26.69 | | | | | | | | | | | (10927) all_65_33 = all_65_36
% 174.62/26.69 | | | | | | | | | | |
% 174.62/26.69 | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_2, all_65_17,
% 174.62/26.69 | | | | | | | | | | | all_14_1, e2, simplifying with (10920), (10921)
% 174.62/26.69 | | | | | | | | | | | gives:
% 174.62/26.69 | | | | | | | | | | | (10928) all_65_17 = all_61_2
% 174.62/26.69 | | | | | | | | | | |
% 174.62/26.69 | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_19, all_65_7, e0,
% 174.62/26.69 | | | | | | | | | | | all_14_1, simplifying with (10913), (10918) gives:
% 174.62/26.69 | | | | | | | | | | | (10929) all_65_7 = all_65_19
% 174.62/26.69 | | | | | | | | | | |
% 174.62/26.69 | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_18, all_65_9, e1,
% 174.62/26.69 | | | | | | | | | | | all_14_1, simplifying with (10912), (10917) gives:
% 174.62/26.69 | | | | | | | | | | | (10930) all_65_9 = all_65_18
% 174.62/26.69 | | | | | | | | | | |
% 174.62/26.69 | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_8, all_65_17, e2,
% 174.62/26.69 | | | | | | | | | | | all_14_1, simplifying with (10911), (10916) gives:
% 174.62/26.69 | | | | | | | | | | | (10931) all_65_17 = all_61_8
% 174.62/26.69 | | | | | | | | | | |
% 174.62/26.69 | | | | | | | | | | | COMBINE_EQS: (10928), (10931) imply:
% 174.62/26.69 | | | | | | | | | | | (10932) all_61_2 = all_61_8
% 174.62/26.69 | | | | | | | | | | |
% 174.62/26.69 | | | | | | | | | | | SIMP: (10932) implies:
% 174.62/26.69 | | | | | | | | | | | (10933) all_61_2 = all_61_8
% 174.62/26.69 | | | | | | | | | | |
% 174.62/26.69 | | | | | | | | | | | COMBINE_EQS: (499), (10933) imply:
% 174.62/26.69 | | | | | | | | | | | (10934) all_63_8 = all_61_8
% 174.62/26.69 | | | | | | | | | | |
% 174.62/26.69 | | | | | | | | | | | REDUCE: (211), (10933) imply:
% 174.62/26.69 | | | | | | | | | | | (10935) ~ (all_61_3 = all_61_8)
% 174.62/26.69 | | | | | | | | | | |
% 174.62/26.69 | | | | | | | | | | | SIMP: (10935) implies:
% 174.62/26.69 | | | | | | | | | | | (10936) ~ (all_61_3 = all_61_8)
% 174.62/26.69 | | | | | | | | | | |
% 174.62/26.69 | | | | | | | | | | | REDUCE: (208), (10933) imply:
% 174.62/26.69 | | | | | | | | | | | (10937) ~ (all_61_8 = all_61_14)
% 174.62/26.69 | | | | | | | | | | |
% 174.62/26.69 | | | | | | | | | | | REDUCE: (10899), (10933) imply:
% 174.62/26.69 | | | | | | | | | | | (10938) ~ (all_61_8 = all_14_1)
% 174.62/26.69 | | | | | | | | | | |
% 174.62/26.69 | | | | | | | | | | | REDUCE: (10914), (10933) imply:
% 174.62/26.69 | | | | | | | | | | | (10939) op(all_61_8, e3) = all_10_1
% 174.62/26.69 | | | | | | | | | | |
% 174.62/26.69 | | | | | | | | | | | REDUCE: (667), (10927), (10933) imply:
% 174.62/26.69 | | | | | | | | | | | (10940) op(all_61_8, e2) = all_65_36
% 174.62/26.69 | | | | | | | | | | |
% 174.62/26.69 | | | | | | | | | | | REDUCE: (669), (10933) imply:
% 174.62/26.69 | | | | | | | | | | | (10941) op(all_61_8, e0) = all_65_35
% 174.62/26.69 | | | | | | | | | | |
% 174.62/26.69 | | | | | | | | | | | REDUCE: (683), (10926) imply:
% 174.62/26.69 | | | | | | | | | | | (10942) op(all_61_3, e2) = all_65_57
% 174.62/26.69 | | | | | | | | | | |
% 174.62/26.69 | | | | | | | | | | | REDUCE: (643), (10930) imply:
% 174.62/26.69 | | | | | | | | | | | (10943) op(all_61_8, e2) = all_65_18
% 174.62/26.69 | | | | | | | | | | |
% 174.62/26.69 | | | | | | | | | | | REDUCE: (706), (10933) imply:
% 174.62/26.69 | | | | | | | | | | | (10944) op(e3, all_61_8) = all_65_8
% 174.62/26.69 | | | | | | | | | | |
% 174.62/26.69 | | | | | | | | | | | REDUCE: (705), (10929) imply:
% 174.62/26.69 | | | | | | | | | | | (10945) op(e3, all_61_13) = all_65_19
% 174.62/26.69 | | | | | | | | | | |
% 174.62/26.69 | | | | | | | | | | | REDUCE: (10920), (10933) imply:
% 174.62/26.69 | | | | | | | | | | | (10946) op(e2, all_14_1) = all_61_8
% 174.62/26.69 | | | | | | | | | | |
% 174.62/26.69 | | | | | | | | | | | REDUCE: (757), (10933) imply:
% 174.62/26.69 | | | | | | | | | | | (10947) op(e0, all_61_8) = all_65_65
% 174.62/26.69 | | | | | | | | | | |
% 174.62/26.69 | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_53, all_65_65,
% 174.62/26.69 | | | | | | | | | | | all_61_8, e0, simplifying with (751), (10947)
% 174.62/26.69 | | | | | | | | | | | gives:
% 174.62/26.69 | | | | | | | | | | | (10948) all_65_53 = all_65_65
% 174.62/26.69 | | | | | | | | | | |
% 174.62/26.69 | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_11, all_65_35, e0,
% 174.62/26.69 | | | | | | | | | | | all_61_8, simplifying with (645), (10941) gives:
% 174.62/26.69 | | | | | | | | | | | (10949) all_65_11 = all_65_35
% 174.62/26.69 | | | | | | | | | | |
% 174.62/26.69 | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_36, all_65_18, e2,
% 174.62/26.69 | | | | | | | | | | | all_61_8, simplifying with (10940), (10943) gives:
% 174.62/26.69 | | | | | | | | | | | (10950) all_65_18 = all_65_36
% 174.62/26.69 | | | | | | | | | | |
% 174.62/26.69 | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_8, all_10_1, e3,
% 174.62/26.69 | | | | | | | | | | | all_61_8, simplifying with (642), (10939) gives:
% 174.62/26.69 | | | | | | | | | | | (10951) all_65_8 = all_10_1
% 174.62/26.69 | | | | | | | | | | |
% 174.62/26.69 | | | | | | | | | | | REDUCE: (684), (10948) imply:
% 174.62/26.69 | | | | | | | | | | | (10952) op(all_61_3, e1) = all_65_65
% 174.62/26.69 | | | | | | | | | | |
% 174.62/26.69 | | | | | | | | | | | REDUCE: (10912), (10950) imply:
% 174.62/26.69 | | | | | | | | | | | (10953) op(all_14_1, e1) = all_65_36
% 174.62/26.69 | | | | | | | | | | |
% 174.62/26.69 | | | | | | | | | | | REDUCE: (10944), (10951) imply:
% 174.62/26.69 | | | | | | | | | | | (10954) op(e3, all_61_8) = all_10_1
% 174.62/26.69 | | | | | | | | | | |
% 174.62/26.69 | | | | | | | | | | | REDUCE: (709), (10949) imply:
% 174.62/26.69 | | | | | | | | | | | (10955) op(e3, all_61_14) = all_65_35
% 174.62/26.69 | | | | | | | | | | |
% 174.62/26.69 | | | | | | | | | | | BETA: splitting (77) gives:
% 174.62/26.69 | | | | | | | | | | |
% 174.62/26.69 | | | | | | | | | | | Case 1:
% 174.62/26.69 | | | | | | | | | | | |
% 174.62/26.69 | | | | | | | | | | | | (10956) ~ (all_20_2 = e2)
% 174.62/26.69 | | | | | | | | | | | |
% 174.62/26.69 | | | | | | | | | | | | BETA: splitting (89) gives:
% 174.62/26.69 | | | | | | | | | | | |
% 174.62/26.69 | | | | | | | | | | | | Case 1:
% 174.62/26.69 | | | | | | | | | | | | |
% 174.62/26.69 | | | | | | | | | | | | | (10957) ~ (all_28_2 = e3)
% 174.62/26.69 | | | | | | | | | | | | |
% 174.62/26.69 | | | | | | | | | | | | | REDUCE: (563), (10957) imply:
% 174.62/26.69 | | | | | | | | | | | | | (10958) ~ (all_20_2 = e3)
% 174.62/26.69 | | | | | | | | | | | | |
% 174.62/26.69 | | | | | | | | | | | | | BETA: splitting (110) gives:
% 174.62/26.69 | | | | | | | | | | | | |
% 174.62/26.69 | | | | | | | | | | | | | Case 1:
% 174.62/26.69 | | | | | | | | | | | | | |
% 174.62/26.69 | | | | | | | | | | | | | | (10959) ~ (all_42_2 = e1)
% 174.62/26.69 | | | | | | | | | | | | | |
% 174.62/26.69 | | | | | | | | | | | | | | REDUCE: (532), (10959) imply:
% 174.62/26.69 | | | | | | | | | | | | | | (10960) ~ (all_20_2 = e1)
% 174.62/26.69 | | | | | | | | | | | | | |
% 174.62/26.69 | | | | | | | | | | | | | | BETA: splitting (256) gives:
% 174.62/26.69 | | | | | | | | | | | | | |
% 174.62/26.69 | | | | | | | | | | | | | | Case 1:
% 174.62/26.69 | | | | | | | | | | | | | | |
% 174.62/26.69 | | | | | | | | | | | | | | | (10961) all_63_15 = e3
% 174.62/26.69 | | | | | | | | | | | | | | |
% 174.62/26.69 | | | | | | | | | | | | | | | REF_CLOSE: (422), (10958), (10961) are inconsistent by
% 174.62/26.69 | | | | | | | | | | | | | | | sub-proof #501.
% 174.62/26.69 | | | | | | | | | | | | | | |
% 174.62/26.69 | | | | | | | | | | | | | | Case 2:
% 174.62/26.69 | | | | | | | | | | | | | | |
% 174.62/26.69 | | | | | | | | | | | | | | | (10962) all_63_15 = e2 | all_63_15 = e1 | all_63_15 = e0
% 174.62/26.69 | | | | | | | | | | | | | | |
% 174.62/26.69 | | | | | | | | | | | | | | | BETA: splitting (10962) gives:
% 174.62/26.69 | | | | | | | | | | | | | | |
% 174.62/26.69 | | | | | | | | | | | | | | | Case 1:
% 174.62/26.69 | | | | | | | | | | | | | | | |
% 174.62/26.69 | | | | | | | | | | | | | | | | (10963) all_63_15 = e2
% 174.62/26.69 | | | | | | | | | | | | | | | |
% 174.62/26.69 | | | | | | | | | | | | | | | | REF_CLOSE: (422), (10956), (10963) are inconsistent by
% 174.62/26.69 | | | | | | | | | | | | | | | | sub-proof #500.
% 174.62/26.69 | | | | | | | | | | | | | | | |
% 174.62/26.69 | | | | | | | | | | | | | | | Case 2:
% 174.62/26.69 | | | | | | | | | | | | | | | |
% 174.62/26.69 | | | | | | | | | | | | | | | | (10964) all_63_15 = e1 | all_63_15 = e0
% 174.62/26.69 | | | | | | | | | | | | | | | |
% 174.62/26.69 | | | | | | | | | | | | | | | | BETA: splitting (10964) gives:
% 174.62/26.69 | | | | | | | | | | | | | | | |
% 174.62/26.69 | | | | | | | | | | | | | | | | Case 1:
% 174.62/26.69 | | | | | | | | | | | | | | | | |
% 174.62/26.69 | | | | | | | | | | | | | | | | | (10965) all_63_15 = e1
% 174.62/26.69 | | | | | | | | | | | | | | | | |
% 174.62/26.69 | | | | | | | | | | | | | | | | | REF_CLOSE: (422), (10960), (10965) are inconsistent by
% 174.62/26.69 | | | | | | | | | | | | | | | | | sub-proof #499.
% 174.62/26.69 | | | | | | | | | | | | | | | | |
% 174.62/26.69 | | | | | | | | | | | | | | | | Case 2:
% 174.62/26.69 | | | | | | | | | | | | | | | | |
% 174.62/26.69 | | | | | | | | | | | | | | | | | (10966) all_63_15 = e0
% 174.62/26.69 | | | | | | | | | | | | | | | | |
% 174.62/26.69 | | | | | | | | | | | | | | | | | COMBINE_EQS: (422), (10966) imply:
% 174.62/26.69 | | | | | | | | | | | | | | | | | (10967) all_20_2 = e0
% 174.62/26.69 | | | | | | | | | | | | | | | | |
% 174.62/26.69 | | | | | | | | | | | | | | | | | SIMP: (10967) implies:
% 174.62/26.69 | | | | | | | | | | | | | | | | | (10968) all_20_2 = e0
% 174.62/26.69 | | | | | | | | | | | | | | | | |
% 174.62/26.69 | | | | | | | | | | | | | | | | | REDUCE: (625), (10968) imply:
% 174.62/26.69 | | | | | | | | | | | | | | | | | (10969) ~ (all_61_12 = e0)
% 174.62/26.69 | | | | | | | | | | | | | | | | |
% 174.62/26.69 | | | | | | | | | | | | | | | | | REDUCE: (627), (10968) imply:
% 174.62/26.69 | | | | | | | | | | | | | | | | | (10970) ~ (all_61_14 = e0)
% 174.62/26.69 | | | | | | | | | | | | | | | | |
% 174.62/26.69 | | | | | | | | | | | | | | | | | REDUCE: (695), (10968) imply:
% 174.62/26.69 | | | | | | | | | | | | | | | | | (10971) op(e0, e2) = all_65_75
% 174.62/26.69 | | | | | | | | | | | | | | | | |
% 174.62/26.69 | | | | | | | | | | | | | | | | | REDUCE: (696), (10968) imply:
% 174.62/26.69 | | | | | | | | | | | | | | | | | (10972) op(e0, e1) = all_65_77
% 174.62/26.69 | | | | | | | | | | | | | | | | |
% 174.62/26.69 | | | | | | | | | | | | | | | | | REDUCE: (730), (10968) imply:
% 174.62/26.69 | | | | | | | | | | | | | | | | | (10973) op(e2, e0) = all_65_31
% 174.62/26.69 | | | | | | | | | | | | | | | | |
% 174.62/26.69 | | | | | | | | | | | | | | | | | REDUCE: (747), (10968) imply:
% 174.62/26.69 | | | | | | | | | | | | | | | | | (10974) op(e1, e0) = all_65_47
% 174.62/26.69 | | | | | | | | | | | | | | | | |
% 174.62/26.69 | | | | | | | | | | | | | | | | | REDUCE: (764), (10968) imply:
% 174.62/26.69 | | | | | | | | | | | | | | | | | (10975) op(e0, e0) = all_65_78
% 174.62/26.69 | | | | | | | | | | | | | | | | |
% 174.62/26.69 | | | | | | | | | | | | | | | | | REDUCE: (76), (10968) imply:
% 174.62/26.69 | | | | | | | | | | | | | | | | | (10976) op(e0, e0) = e0
% 174.62/26.69 | | | | | | | | | | | | | | | | |
% 174.62/26.69 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e0, all_65_78, e0, e0,
% 174.62/26.69 | | | | | | | | | | | | | | | | | simplifying with (10975), (10976) gives:
% 174.62/26.69 | | | | | | | | | | | | | | | | | (10977) all_65_78 = e0
% 174.62/26.69 | | | | | | | | | | | | | | | | |
% 174.62/26.69 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_11, all_65_77, e1,
% 174.62/26.69 | | | | | | | | | | | | | | | | | e0, simplifying with (224), (10972) gives:
% 174.62/26.69 | | | | | | | | | | | | | | | | | (10978) all_65_77 = all_61_11
% 174.62/26.69 | | | | | | | | | | | | | | | | |
% 174.62/26.69 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_7, all_65_75, e2,
% 174.62/26.69 | | | | | | | | | | | | | | | | | e0, simplifying with (225), (10971) gives:
% 174.62/26.69 | | | | | | | | | | | | | | | | | (10979) all_65_75 = all_61_7
% 174.62/26.69 | | | | | | | | | | | | | | | | |
% 174.62/26.69 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_14, all_65_47, e0,
% 174.62/26.69 | | | | | | | | | | | | | | | | | e1, simplifying with (227), (10974) gives:
% 174.62/26.69 | | | | | | | | | | | | | | | | | (10980) all_65_47 = all_61_14
% 174.62/26.69 | | | | | | | | | | | | | | | | |
% 174.62/26.69 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_13, all_65_31, e0,
% 174.62/26.69 | | | | | | | | | | | | | | | | | e2, simplifying with (231), (10973) gives:
% 174.62/26.69 | | | | | | | | | | | | | | | | | (10981) all_65_31 = all_61_13
% 174.62/26.69 | | | | | | | | | | | | | | | | |
% 174.62/26.69 | | | | | | | | | | | | | | | | | BETA: splitting (160) gives:
% 174.62/26.69 | | | | | | | | | | | | | | | | |
% 174.62/26.69 | | | | | | | | | | | | | | | | | Case 1:
% 174.62/26.69 | | | | | | | | | | | | | | | | | |
% 174.62/26.69 | | | | | | | | | | | | | | | | | | (10982) ~ (all_58_2 = e0)
% 174.62/26.69 | | | | | | | | | | | | | | | | | |
% 174.62/26.69 | | | | | | | | | | | | | | | | | | REDUCE: (478), (10982) imply:
% 174.62/26.69 | | | | | | | | | | | | | | | | | | (10983) ~ (all_52_2 = e0)
% 174.62/26.69 | | | | | | | | | | | | | | | | | |
% 174.62/26.69 | | | | | | | | | | | | | | | | | | BETA: splitting (157) gives:
% 174.62/26.69 | | | | | | | | | | | | | | | | | |
% 174.62/26.69 | | | | | | | | | | | | | | | | | | Case 1:
% 174.62/26.69 | | | | | | | | | | | | | | | | | | |
% 174.62/26.69 | | | | | | | | | | | | | | | | | | | (10984) ~ (all_58_3 = e1)
% 174.62/26.69 | | | | | | | | | | | | | | | | | | |
% 174.62/26.69 | | | | | | | | | | | | | | | | | | | REDUCE: (475), (10984) imply:
% 174.62/26.69 | | | | | | | | | | | | | | | | | | | (10985) ~ (all_52_3 = e1)
% 174.62/26.69 | | | | | | | | | | | | | | | | | | |
% 174.62/26.69 | | | | | | | | | | | | | | | | | | | BETA: splitting (164) gives:
% 174.62/26.69 | | | | | | | | | | | | | | | | | | |
% 174.62/26.69 | | | | | | | | | | | | | | | | | | | Case 1:
% 174.62/26.69 | | | | | | | | | | | | | | | | | | | |
% 174.62/26.69 | | | | | | | | | | | | | | | | | | | | (10986) ~ (all_58_1 = e1)
% 174.62/26.69 | | | | | | | | | | | | | | | | | | | |
% 174.62/26.69 | | | | | | | | | | | | | | | | | | | | REDUCE: (481), (10986) imply:
% 174.62/26.69 | | | | | | | | | | | | | | | | | | | | (10987) ~ (all_52_1 = e1)
% 174.62/26.69 | | | | | | | | | | | | | | | | | | | |
% 174.62/26.69 | | | | | | | | | | | | | | | | | | | | BETA: splitting (161) gives:
% 174.62/26.69 | | | | | | | | | | | | | | | | | | | |
% 174.62/26.69 | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.62/26.69 | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.69 | | | | | | | | | | | | | | | | | | | | | (10988) ~ (all_58_2 = e2)
% 174.62/26.69 | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.69 | | | | | | | | | | | | | | | | | | | | | REDUCE: (478), (10988) imply:
% 174.62/26.69 | | | | | | | | | | | | | | | | | | | | | (10989) ~ (all_52_2 = e2)
% 174.62/26.69 | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.69 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (165) gives:
% 174.62/26.69 | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.69 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.62/26.69 | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.69 | | | | | | | | | | | | | | | | | | | | | | (10990) ~ (all_58_1 = e3)
% 174.62/26.69 | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.69 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (481), (10990) imply:
% 174.62/26.69 | | | | | | | | | | | | | | | | | | | | | | (10991) ~ (all_52_1 = e3)
% 174.62/26.69 | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.69 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (159) gives:
% 174.62/26.69 | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.69 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.62/26.69 | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | (10992) ~ (all_58_3 = e3)
% 174.62/26.69 | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (475), (10992) imply:
% 174.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | (10993) ~ (all_52_3 = e3)
% 174.62/26.69 | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (50), (148), (150), (158), (163), (225),
% 174.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | (231), (475), (481), (536), (539), (632), (663),
% 174.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | (728), (731), (765), (5776), (9698), (9720),
% 174.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | (9723), (10976), (10985), (10987), (10991),
% 174.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | (10993) are inconsistent by sub-proof #323.
% 174.62/26.69 | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.69 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.62/26.69 | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | (10994) all_58_3 = e3
% 174.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | (10995) all_58_0 = e0
% 174.62/26.69 | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (484), (10995) imply:
% 174.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | (10996) all_52_0 = e0
% 174.62/26.69 | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10996) implies:
% 174.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | (10997) all_52_0 = e0
% 174.62/26.69 | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (475), (10994) imply:
% 174.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | (10998) all_52_3 = e3
% 174.62/26.69 | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (629), (10997) imply:
% 174.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | (10999) ~ (all_52_2 = e0)
% 174.62/26.69 | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (633), (10998) imply:
% 174.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | (11000) ~ (all_52_2 = e3)
% 174.62/26.69 | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (50), (149), (538), (748), (5784), (9698),
% 174.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | (10983), (10989), (11000) are inconsistent by
% 174.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #228.
% 174.62/26.69 | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.69 | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.62/26.69 | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.69 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.62/26.69 | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.69 | | | | | | | | | | | | | | | | | | | | | | (11001) all_58_1 = e3
% 174.62/26.69 | | | | | | | | | | | | | | | | | | | | | | (11002) all_58_0 = e2
% 174.62/26.69 | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.69 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (484), (11002) imply:
% 174.62/26.69 | | | | | | | | | | | | | | | | | | | | | | (11003) all_52_0 = e2
% 174.62/26.69 | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.69 | | | | | | | | | | | | | | | | | | | | | | SIMP: (11003) implies:
% 174.62/26.69 | | | | | | | | | | | | | | | | | | | | | | (11004) all_52_0 = e2
% 174.62/26.69 | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.69 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (481), (11001) imply:
% 174.62/26.69 | | | | | | | | | | | | | | | | | | | | | | (11005) all_52_1 = e3
% 174.62/26.69 | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.69 | | | | | | | | | | | | | | | | | | | | | | SIMP: (11005) implies:
% 174.62/26.69 | | | | | | | | | | | | | | | | | | | | | | (11006) all_52_1 = e3
% 174.62/26.69 | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.69 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (629), (11004) imply:
% 174.62/26.69 | | | | | | | | | | | | | | | | | | | | | | (11007) ~ (all_52_2 = e2)
% 174.62/26.69 | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.69 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (631), (11006) imply:
% 174.62/26.69 | | | | | | | | | | | | | | | | | | | | | | (11008) ~ (all_52_2 = e3)
% 174.62/26.69 | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.69 | | | | | | | | | | | | | | | | | | | | | | SIMP: (11008) implies:
% 174.62/26.69 | | | | | | | | | | | | | | | | | | | | | | (11009) ~ (all_52_2 = e3)
% 174.62/26.69 | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.69 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (50), (149), (538), (748), (5784), (9698),
% 174.62/26.69 | | | | | | | | | | | | | | | | | | | | | | (10983), (10989), (11009) are inconsistent by
% 174.62/26.69 | | | | | | | | | | | | | | | | | | | | | | sub-proof #228.
% 174.62/26.69 | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.69 | | | | | | | | | | | | | | | | | | | | | End of split
% 174.62/26.69 | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.69 | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.62/26.69 | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.69 | | | | | | | | | | | | | | | | | | | | | (11010) all_58_1 = e1
% 174.62/26.69 | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.69 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (481), (10987), (11010) are inconsistent by
% 174.62/26.69 | | | | | | | | | | | | | | | | | | | | | sub-proof #424.
% 174.62/26.69 | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.69 | | | | | | | | | | | | | | | | | | | | End of split
% 174.62/26.69 | | | | | | | | | | | | | | | | | | | |
% 174.62/26.69 | | | | | | | | | | | | | | | | | | | Case 2:
% 174.62/26.69 | | | | | | | | | | | | | | | | | | | |
% 174.62/26.69 | | | | | | | | | | | | | | | | | | | | (11011) all_58_1 = e1
% 174.62/26.69 | | | | | | | | | | | | | | | | | | | |
% 174.62/26.69 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (481), (11011) imply:
% 174.62/26.69 | | | | | | | | | | | | | | | | | | | | (11012) all_52_1 = e1
% 174.62/26.69 | | | | | | | | | | | | | | | | | | | |
% 174.62/26.69 | | | | | | | | | | | | | | | | | | | | SIMP: (11012) implies:
% 174.62/26.69 | | | | | | | | | | | | | | | | | | | | (11013) all_52_1 = e1
% 174.62/26.69 | | | | | | | | | | | | | | | | | | | |
% 174.62/26.69 | | | | | | | | | | | | | | | | | | | | REDUCE: (731), (11013) imply:
% 174.62/26.69 | | | | | | | | | | | | | | | | | | | | (11014) op(e2, e1) = unit
% 174.62/26.69 | | | | | | | | | | | | | | | | | | | |
% 174.62/26.69 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_10_1, unit, e1, e2,
% 174.62/26.69 | | | | | | | | | | | | | | | | | | | | simplifying with (5838), (11014) gives:
% 174.62/26.69 | | | | | | | | | | | | | | | | | | | | (11015) all_10_1 = unit
% 174.62/26.69 | | | | | | | | | | | | | | | | | | | |
% 174.62/26.69 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5809), (11015) imply:
% 174.62/26.69 | | | | | | | | | | | | | | | | | | | | (11016) all_63_6 = unit
% 174.62/26.69 | | | | | | | | | | | | | | | | | | | |
% 174.62/26.69 | | | | | | | | | | | | | | | | | | | | REDUCE: (5817), (11015) imply:
% 174.62/26.69 | | | | | | | | | | | | | | | | | | | | (11017) ~ (all_61_8 = unit)
% 174.62/26.69 | | | | | | | | | | | | | | | | | | | |
% 174.62/26.69 | | | | | | | | | | | | | | | | | | | | REDUCE: (10908), (11015) imply:
% 174.62/26.69 | | | | | | | | | | | | | | | | | | | | (11018) ~ (all_14_1 = unit)
% 174.62/26.69 | | | | | | | | | | | | | | | | | | | |
% 174.62/26.69 | | | | | | | | | | | | | | | | | | | | REDUCE: (5823), (11015) imply:
% 174.62/26.69 | | | | | | | | | | | | | | | | | | | | (11019) ~ (unit = e2)
% 174.62/26.69 | | | | | | | | | | | | | | | | | | | |
% 174.62/26.69 | | | | | | | | | | | | | | | | | | | | REDUCE: (9691), (11015) imply:
% 174.62/26.69 | | | | | | | | | | | | | | | | | | | | (11020) ~ (unit = e1)
% 174.62/26.69 | | | | | | | | | | | | | | | | | | | |
% 174.62/26.69 | | | | | | | | | | | | | | | | | | | | BETA: splitting (265) gives:
% 174.62/26.69 | | | | | | | | | | | | | | | | | | | |
% 174.62/26.69 | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.62/26.69 | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.69 | | | | | | | | | | | | | | | | | | | | | (11021) all_63_6 = e3
% 174.62/26.69 | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.69 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11016), (11021) imply:
% 174.62/26.69 | | | | | | | | | | | | | | | | | | | | | (11022) unit = e3
% 174.62/26.69 | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.69 | | | | | | | | | | | | | | | | | | | | | REDUCE: (851), (11022) imply:
% 174.62/26.69 | | | | | | | | | | | | | | | | | | | | | (11023) $false
% 174.62/26.69 | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.69 | | | | | | | | | | | | | | | | | | | | | CLOSE: (11023) is inconsistent.
% 174.62/26.69 | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.69 | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.62/26.69 | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.69 | | | | | | | | | | | | | | | | | | | | | (11024) all_63_6 = e2 | all_63_6 = e1 | all_63_6 = e0
% 174.62/26.69 | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.69 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11024) gives:
% 174.62/26.69 | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.69 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.62/26.69 | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.69 | | | | | | | | | | | | | | | | | | | | | | (11025) all_63_6 = e2
% 174.62/26.69 | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.69 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11016), (11025) imply:
% 174.62/26.69 | | | | | | | | | | | | | | | | | | | | | | (11026) unit = e2
% 174.62/26.69 | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.69 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11019), (11026) imply:
% 174.62/26.69 | | | | | | | | | | | | | | | | | | | | | | (11027) $false
% 174.62/26.69 | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.69 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (11027) is inconsistent.
% 174.62/26.69 | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.69 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.62/26.69 | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.69 | | | | | | | | | | | | | | | | | | | | | | (11028) all_63_6 = e1 | all_63_6 = e0
% 174.62/26.69 | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.69 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11028) gives:
% 174.62/26.69 | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.69 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.62/26.69 | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | (11029) all_63_6 = e1
% 174.62/26.69 | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11016), (11029) imply:
% 174.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | (11030) unit = e1
% 174.62/26.69 | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11020), (11030) imply:
% 174.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | (11031) $false
% 174.62/26.69 | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (11031) is inconsistent.
% 174.62/26.69 | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.69 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.62/26.69 | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | (11032) all_63_6 = e0
% 174.62/26.69 | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11016), (11032) imply:
% 174.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | (11033) unit = e0
% 174.62/26.69 | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11017), (11033) imply:
% 174.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | (11034) ~ (all_61_8 = e0)
% 174.62/26.69 | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11018), (11033) imply:
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | (11035) ~ (all_14_1 = e0)
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (267) gives:
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | (11036) all_63_4 = e3
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10896), (11036) imply:
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | (11037) all_14_1 = e3
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10938), (11037) imply:
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | (11038) ~ (all_61_8 = e3)
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10907), (11037) imply:
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | (11039) ~ (all_61_12 = e3)
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (268) gives:
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | (11040) all_63_3 = e3
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (491), (11040) imply:
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | (11041) all_61_12 = e3
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11039), (11041) imply:
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | (11042) $false
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (11042) is inconsistent.
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | (11043) all_63_3 = e2 | all_63_3 = e1 | all_63_3 = e0
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11043) gives:
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | (11044) all_63_3 = e2
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (491), (11044) imply:
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | (11045) all_61_12 = e2
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10864), (11045) imply:
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | (11046) $false
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (11046) is inconsistent.
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | (11047) all_63_3 = e1 | all_63_3 = e0
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (269) gives:
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11048) all_63_2 = e3
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (489), (11048) imply:
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11049) all_61_8 = e3
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11038), (11049) imply:
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11050) $false
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (11050) is inconsistent.
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11051) all_63_2 = e2 | all_63_2 = e1 | all_63_2 = e0
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11047) gives:
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11052) all_63_3 = e1
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (491), (11052) imply:
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11053) all_61_12 = e1
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (187), (11053) imply:
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11054) ~ (all_61_8 = e1)
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (489), (5773), (11034), (11051), (11054) are
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #401.
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11055) all_63_3 = e0
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (491), (11055) imply:
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11056) all_61_12 = e0
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10969), (11056) imply:
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11057) $false
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (11057) is inconsistent.
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | (11058) all_63_4 = e2 | all_63_4 = e1 | all_63_4 = e0
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10896), (10909), (10910), (11035), (11058) are
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #354.
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | End of split
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | End of split
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | End of split
% 174.62/26.70 | | | | | | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | | | | | Case 2:
% 174.62/26.70 | | | | | | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | (11059) all_58_2 = e0
% 174.62/26.70 | | | | | | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (478), (10983), (11059) are inconsistent by
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | sub-proof #436.
% 174.62/26.70 | | | | | | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | | | | | End of split
% 174.62/26.70 | | | | | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | | | | Case 2:
% 174.62/26.70 | | | | | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | | | | | (11060) all_58_3 = e1
% 174.62/26.70 | | | | | | | | | | | | | | | | | | (11061) all_58_2 = e0
% 174.62/26.70 | | | | | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (478), (11061) imply:
% 174.62/26.70 | | | | | | | | | | | | | | | | | | (11062) all_52_2 = e0
% 174.62/26.70 | | | | | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (475), (11060) imply:
% 174.62/26.70 | | | | | | | | | | | | | | | | | | (11063) all_52_3 = e1
% 174.62/26.70 | | | | | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | | | | | SIMP: (11063) implies:
% 174.62/26.70 | | | | | | | | | | | | | | | | | | (11064) all_52_3 = e1
% 174.62/26.70 | | | | | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (50), (224), (227), (693), (748), (765),
% 174.62/26.70 | | | | | | | | | | | | | | | | | | (852), (5776), (10970), (11062), (11064) are
% 174.62/26.70 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #222.
% 174.62/26.70 | | | | | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | | | | End of split
% 174.62/26.70 | | | | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | | | End of split
% 174.62/26.70 | | | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | | End of split
% 174.62/26.70 | | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | End of split
% 174.62/26.70 | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | Case 2:
% 174.62/26.70 | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | (11065) all_42_2 = e1
% 174.62/26.70 | | | | | | | | | | | | | | (11066) op(e0, e1) = all_42_1 & $i(all_42_1) & ( ~
% 174.62/26.70 | | | | | | | | | | | | | | (all_42_1 = e3) | ( ~ (all_42_0 = e2) & op(e3,
% 174.62/26.70 | | | | | | | | | | | | | | e0) = all_42_0 & $i(all_42_0)))
% 174.62/26.70 | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | ALPHA: (11066) implies:
% 174.62/26.70 | | | | | | | | | | | | | | (11067) op(e0, e1) = all_42_1
% 174.62/26.70 | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | COMBINE_EQS: (532), (11065) imply:
% 174.62/26.70 | | | | | | | | | | | | | | (11068) all_20_2 = e1
% 174.62/26.70 | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | COMBINE_EQS: (582), (11068) imply:
% 174.62/26.70 | | | | | | | | | | | | | | (11069) all_50_2 = e1
% 174.62/26.70 | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | REDUCE: (606), (11068) imply:
% 174.62/26.70 | | | | | | | | | | | | | | (11070) ~ (all_61_3 = e1)
% 174.62/26.70 | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | REDUCE: (627), (11068) imply:
% 174.62/26.70 | | | | | | | | | | | | | | (11071) ~ (all_61_14 = e1)
% 174.62/26.70 | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | REDUCE: (10956), (11068) imply:
% 174.62/26.70 | | | | | | | | | | | | | | (11072) ~ (e2 = e1)
% 174.62/26.70 | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | REDUCE: (696), (11068) imply:
% 174.62/26.70 | | | | | | | | | | | | | | (11073) op(e1, e1) = all_65_77
% 174.62/26.70 | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | REDUCE: (697), (11068) imply:
% 174.62/26.70 | | | | | | | | | | | | | | (11074) op(e1, e0) = all_65_78
% 174.62/26.70 | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | REDUCE: (730), (11068) imply:
% 174.62/26.70 | | | | | | | | | | | | | | (11075) op(e2, e1) = all_65_31
% 174.62/26.70 | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | REDUCE: (747), (11068) imply:
% 174.62/26.70 | | | | | | | | | | | | | | (11076) op(e1, e1) = all_65_47
% 174.62/26.70 | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | REDUCE: (764), (11068) imply:
% 174.62/26.70 | | | | | | | | | | | | | | (11077) op(e0, e1) = all_65_78
% 174.62/26.70 | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | REDUCE: (76), (11068) imply:
% 174.62/26.70 | | | | | | | | | | | | | | (11078) op(e0, e0) = e1
% 174.62/26.70 | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | BETA: splitting (122) gives:
% 174.62/26.70 | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | Case 1:
% 174.62/26.70 | | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | | (11079) ~ (all_50_2 = e1)
% 174.62/26.70 | | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | | REDUCE: (11069), (11079) imply:
% 174.62/26.70 | | | | | | | | | | | | | | | (11080) $false
% 174.62/26.70 | | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | | CLOSE: (11080) is inconsistent.
% 174.62/26.70 | | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | Case 2:
% 174.62/26.70 | | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | | (11081) op(e0, e1) = all_50_1 & $i(all_50_1) & ( ~
% 174.62/26.70 | | | | | | | | | | | | | | | (all_50_1 = e2) | ( ~ (all_50_0 = e3) & op(e2,
% 174.62/26.70 | | | | | | | | | | | | | | | e0) = all_50_0 & $i(all_50_0)))
% 174.62/26.70 | | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | | ALPHA: (11081) implies:
% 174.62/26.70 | | | | | | | | | | | | | | | (11082) op(e0, e1) = all_50_1
% 174.62/26.70 | | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_11, all_50_1, e1,
% 174.62/26.70 | | | | | | | | | | | | | | | e0, simplifying with (224), (11082) gives:
% 174.62/26.70 | | | | | | | | | | | | | | | (11083) all_61_11 = all_50_1
% 174.62/26.70 | | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_11, all_65_78, e1,
% 174.62/26.70 | | | | | | | | | | | | | | | e0, simplifying with (224), (11077) gives:
% 174.62/26.70 | | | | | | | | | | | | | | | (11084) all_65_78 = all_61_11
% 174.62/26.70 | | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_42_1, all_65_78, e1,
% 174.62/26.70 | | | | | | | | | | | | | | | e0, simplifying with (11067), (11077) gives:
% 174.62/26.70 | | | | | | | | | | | | | | | (11085) all_65_78 = all_42_1
% 174.62/26.70 | | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_14, all_65_78, e0,
% 174.62/26.70 | | | | | | | | | | | | | | | e1, simplifying with (227), (11074) gives:
% 174.62/26.70 | | | | | | | | | | | | | | | (11086) all_65_78 = all_61_14
% 174.62/26.70 | | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e2, all_65_47, e1, e1,
% 174.62/26.70 | | | | | | | | | | | | | | | simplifying with (5784), (11076) gives:
% 174.62/26.70 | | | | | | | | | | | | | | | (11087) all_65_47 = e2
% 174.62/26.70 | | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_77, all_65_47, e1,
% 174.62/26.70 | | | | | | | | | | | | | | | e1, simplifying with (11073), (11076) gives:
% 174.62/26.70 | | | | | | | | | | | | | | | (11088) all_65_47 = all_65_77
% 174.62/26.70 | | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_10_1, all_65_31, e1,
% 174.62/26.70 | | | | | | | | | | | | | | | e2, simplifying with (5838), (11075) gives:
% 174.62/26.70 | | | | | | | | | | | | | | | (11089) all_65_31 = all_10_1
% 174.62/26.70 | | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | | COMBINE_EQS: (11087), (11088) imply:
% 174.62/26.70 | | | | | | | | | | | | | | | (11090) all_65_77 = e2
% 174.62/26.70 | | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | | SIMP: (11090) implies:
% 174.62/26.70 | | | | | | | | | | | | | | | (11091) all_65_77 = e2
% 174.62/26.70 | | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | | COMBINE_EQS: (11084), (11085) imply:
% 174.62/26.70 | | | | | | | | | | | | | | | (11092) all_61_11 = all_42_1
% 174.62/26.70 | | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | | SIMP: (11092) implies:
% 174.62/26.70 | | | | | | | | | | | | | | | (11093) all_61_11 = all_42_1
% 174.62/26.70 | | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | | COMBINE_EQS: (11085), (11086) imply:
% 174.62/26.70 | | | | | | | | | | | | | | | (11094) all_61_14 = all_42_1
% 174.62/26.70 | | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | | SIMP: (11094) implies:
% 174.62/26.70 | | | | | | | | | | | | | | | (11095) all_61_14 = all_42_1
% 174.62/26.70 | | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | | COMBINE_EQS: (11083), (11093) imply:
% 174.62/26.70 | | | | | | | | | | | | | | | (11096) all_50_1 = all_42_1
% 174.62/26.70 | | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | | SIMP: (11096) implies:
% 174.62/26.70 | | | | | | | | | | | | | | | (11097) all_50_1 = all_42_1
% 174.62/26.70 | | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | | COMBINE_EQS: (510), (11093) imply:
% 174.62/26.70 | | | | | | | | | | | | | | | (11098) all_63_14 = all_42_1
% 174.62/26.70 | | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | | COMBINE_EQS: (505), (11095) imply:
% 174.62/26.70 | | | | | | | | | | | | | | | (11099) all_63_11 = all_42_1
% 174.62/26.70 | | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | | REDUCE: (192), (11093) imply:
% 174.62/26.70 | | | | | | | | | | | | | | | (11100) ~ (all_61_7 = all_42_1)
% 174.62/26.70 | | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | | REDUCE: (10937), (11095) imply:
% 174.62/26.70 | | | | | | | | | | | | | | | (11101) ~ (all_61_8 = all_42_1)
% 174.62/26.70 | | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | | REDUCE: (179), (11095) imply:
% 174.62/26.70 | | | | | | | | | | | | | | | (11102) ~ (all_61_12 = all_42_1)
% 174.62/26.70 | | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | | REDUCE: (5816), (11095) imply:
% 174.62/26.70 | | | | | | | | | | | | | | | (11103) ~ (all_42_1 = all_10_1)
% 174.62/26.70 | | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | | REDUCE: (5776), (11095) imply:
% 174.62/26.70 | | | | | | | | | | | | | | | (11104) ~ (all_42_1 = e2)
% 174.62/26.70 | | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | | REDUCE: (11071), (11095) imply:
% 174.62/26.70 | | | | | | | | | | | | | | | (11105) ~ (all_42_1 = e1)
% 174.62/26.70 | | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | | REDUCE: (690), (11093) imply:
% 174.62/26.70 | | | | | | | | | | | | | | | (11106) op(all_42_1, e3) = all_65_65
% 174.62/26.70 | | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | | REDUCE: (691), (11093) imply:
% 174.62/26.70 | | | | | | | | | | | | | | | (11107) op(all_42_1, e2) = all_65_67
% 174.62/26.70 | | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | | REDUCE: (5833), (11093) imply:
% 174.62/26.70 | | | | | | | | | | | | | | | (11108) op(all_42_1, e1) = all_61_7
% 174.62/26.70 | | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | | REDUCE: (678), (11095) imply:
% 174.62/26.70 | | | | | | | | | | | | | | | (11109) op(all_42_1, e3) = all_65_44
% 174.62/26.70 | | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | | REDUCE: (679), (11095) imply:
% 174.62/26.70 | | | | | | | | | | | | | | | (11110) op(all_42_1, e2) = all_65_45
% 174.62/26.70 | | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | | REDUCE: (680), (11095) imply:
% 174.62/26.70 | | | | | | | | | | | | | | | (11111) op(all_42_1, e1) = all_65_46
% 174.62/26.70 | | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | | REDUCE: (712), (11093) imply:
% 174.62/26.70 | | | | | | | | | | | | | | | (11112) op(e3, all_42_1) = all_65_14
% 174.62/26.70 | | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | | REDUCE: (10955), (11095) imply:
% 174.62/26.70 | | | | | | | | | | | | | | | (11113) op(e3, all_42_1) = all_65_35
% 174.62/26.70 | | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | | REDUCE: (729), (11093) imply:
% 174.62/26.70 | | | | | | | | | | | | | | | (11114) op(e2, all_42_1) = all_65_30
% 174.62/26.70 | | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | | REDUCE: (5854), (11095) imply:
% 174.62/26.70 | | | | | | | | | | | | | | | (11115) op(e2, all_42_1) = all_65_39
% 174.62/26.70 | | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | | REDUCE: (746), (11093) imply:
% 174.62/26.70 | | | | | | | | | | | | | | | (11116) op(e1, all_42_1) = all_65_46
% 174.62/26.70 | | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | | REDUCE: (5840), (11095) imply:
% 174.62/26.70 | | | | | | | | | | | | | | | (11117) op(e1, all_42_1) = all_61_13
% 174.62/26.70 | | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | | REDUCE: (227), (11095) imply:
% 174.62/26.70 | | | | | | | | | | | | | | | (11118) op(e1, e0) = all_42_1
% 174.62/26.70 | | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_13, all_65_46,
% 174.62/26.70 | | | | | | | | | | | | | | | all_42_1, e1, simplifying with (11116), (11117)
% 174.62/26.70 | | | | | | | | | | | | | | | gives:
% 174.62/26.70 | | | | | | | | | | | | | | | (11119) all_65_46 = all_61_13
% 174.62/26.70 | | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_39, all_65_30,
% 174.62/26.70 | | | | | | | | | | | | | | | all_42_1, e2, simplifying with (11114), (11115)
% 174.62/26.70 | | | | | | | | | | | | | | | gives:
% 174.62/26.70 | | | | | | | | | | | | | | | (11120) all_65_30 = all_65_39
% 174.62/26.70 | | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_35, all_65_14,
% 174.62/26.70 | | | | | | | | | | | | | | | all_42_1, e3, simplifying with (11112), (11113)
% 174.62/26.70 | | | | | | | | | | | | | | | gives:
% 174.62/26.70 | | | | | | | | | | | | | | | (11121) all_65_14 = all_65_35
% 174.62/26.70 | | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_7, all_65_46, e1,
% 174.62/26.70 | | | | | | | | | | | | | | | all_42_1, simplifying with (11108), (11111) gives:
% 174.62/26.70 | | | | | | | | | | | | | | | (11122) all_65_46 = all_61_7
% 174.62/26.70 | | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_67, all_65_45, e2,
% 174.62/26.70 | | | | | | | | | | | | | | | all_42_1, simplifying with (11107), (11110) gives:
% 174.62/26.70 | | | | | | | | | | | | | | | (11123) all_65_45 = all_65_67
% 174.62/26.70 | | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_65, all_65_44, e3,
% 174.62/26.70 | | | | | | | | | | | | | | | all_42_1, simplifying with (11106), (11109) gives:
% 174.62/26.70 | | | | | | | | | | | | | | | (11124) all_65_44 = all_65_65
% 174.62/26.70 | | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | | COMBINE_EQS: (11119), (11122) imply:
% 174.62/26.70 | | | | | | | | | | | | | | | (11125) all_61_7 = all_61_13
% 174.62/26.70 | | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | | REDUCE: (11100), (11125) imply:
% 174.62/26.70 | | | | | | | | | | | | | | | (11126) ~ (all_61_13 = all_42_1)
% 174.62/26.70 | | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | | REDUCE: (686), (11125) imply:
% 174.62/26.70 | | | | | | | | | | | | | | | (11127) op(all_61_13, e3) = all_65_57
% 174.62/26.70 | | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | | REDUCE: (5852), (11125) imply:
% 174.62/26.70 | | | | | | | | | | | | | | | (11128) op(all_61_13, e1) = all_65_67
% 174.62/26.70 | | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | | REDUCE: (648), (11121) imply:
% 174.62/26.70 | | | | | | | | | | | | | | | (11129) op(all_61_12, e1) = all_65_35
% 174.62/26.70 | | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | | REDUCE: (664), (11120) imply:
% 174.62/26.70 | | | | | | | | | | | | | | | (11130) op(all_61_13, e1) = all_65_39
% 174.62/26.70 | | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | | REDUCE: (711), (11125) imply:
% 174.62/26.70 | | | | | | | | | | | | | | | (11131) op(e3, all_61_13) = all_65_13
% 174.62/26.70 | | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_19, all_65_13,
% 174.62/26.70 | | | | | | | | | | | | | | | all_61_13, e3, simplifying with (10945), (11131)
% 174.62/26.70 | | | | | | | | | | | | | | | gives:
% 174.62/26.70 | | | | | | | | | | | | | | | (11132) all_65_13 = all_65_19
% 174.62/26.70 | | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_67, all_65_39, e1,
% 174.62/26.70 | | | | | | | | | | | | | | | all_61_13, simplifying with (11128), (11130)
% 174.62/26.70 | | | | | | | | | | | | | | | gives:
% 174.62/26.70 | | | | | | | | | | | | | | | (11133) all_65_39 = all_65_67
% 174.62/26.70 | | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_28, all_65_57, e3,
% 174.62/26.70 | | | | | | | | | | | | | | | all_61_13, simplifying with (662), (11127) gives:
% 174.62/26.70 | | | | | | | | | | | | | | | (11134) all_65_28 = all_65_57
% 174.62/26.70 | | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | | REDUCE: (11115), (11133) imply:
% 174.62/26.70 | | | | | | | | | | | | | | | (11135) op(e2, all_42_1) = all_65_67
% 174.62/26.70 | | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | | BETA: splitting (161) gives:
% 174.62/26.70 | | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | | Case 1:
% 174.62/26.70 | | | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | | | (11136) ~ (all_58_2 = e2)
% 174.62/26.70 | | | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | | | REDUCE: (478), (11136) imply:
% 174.62/26.70 | | | | | | | | | | | | | | | | (11137) ~ (all_52_2 = e2)
% 174.62/26.70 | | | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | | | BETA: splitting (164) gives:
% 174.62/26.70 | | | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | | | Case 1:
% 174.62/26.70 | | | | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | | | | (11138) ~ (all_58_1 = e1)
% 174.62/26.70 | | | | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | | | | REDUCE: (481), (11138) imply:
% 174.62/26.70 | | | | | | | | | | | | | | | | | (11139) ~ (all_52_1 = e1)
% 174.62/26.70 | | | | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | | | | BETA: splitting (163) gives:
% 174.62/26.70 | | | | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | | | | Case 1:
% 174.62/26.70 | | | | | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | | | | | (11140) ~ (all_58_1 = e0)
% 174.62/26.70 | | | | | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | | | | | REDUCE: (481), (11140) imply:
% 174.62/26.70 | | | | | | | | | | | | | | | | | | (11141) ~ (all_52_1 = e0)
% 174.62/26.70 | | | | | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | | | | | BETA: splitting (158) gives:
% 174.62/26.70 | | | | | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | | | | | Case 1:
% 174.62/26.70 | | | | | | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | (11142) ~ (all_58_3 = e2)
% 174.62/26.70 | | | | | | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | REDUCE: (475), (11142) imply:
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | (11143) ~ (all_52_3 = e2)
% 174.62/26.70 | | | | | | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | BETA: splitting (162) gives:
% 174.62/26.70 | | | | | | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | Case 1:
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | (11144) ~ (all_58_2 = e3)
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | REDUCE: (478), (11144) imply:
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | (11145) ~ (all_52_2 = e3)
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | BETA: splitting (159) gives:
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | (11146) ~ (all_58_3 = e3)
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | REDUCE: (475), (11146) imply:
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | (11147) ~ (all_52_3 = e3)
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (157) gives:
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | (11148) ~ (all_58_3 = e1)
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (50), (148), (149), (475), (538), (539), (633),
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | (748), (765), (5784), (11078), (11137), (11143),
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | (11145), (11147), (11148) are inconsistent by
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | sub-proof #274.
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | (11149) all_58_2 = e0
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (478), (11149) imply:
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | (11150) all_52_2 = e0
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | SIMP: (11150) implies:
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | (11151) all_52_2 = e0
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (748), (11151) imply:
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | (11152) op(e1, e0) = unit
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_42_1, unit, e0, e1,
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | simplifying with (11118), (11152) gives:
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | (11153) all_42_1 = unit
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11103), (11153) imply:
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | (11154) ~ (all_10_1 = unit)
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | SIMP: (11154) implies:
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | (11155) ~ (all_10_1 = unit)
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11104), (11153) imply:
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | (11156) ~ (unit = e2)
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11105), (11153) imply:
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | (11157) ~ (unit = e1)
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11117), (11153) imply:
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | (11158) op(e1, unit) = all_61_13
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (852) gives:
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | (11159) unit = e2
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11156), (11159) imply:
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | (11160) $false
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (11160) is inconsistent.
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | (11161) unit = e1 | unit = e0
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11161) gives:
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | (11162) unit = e1
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11157), (11162) imply:
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | (11163) $false
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (11163) is inconsistent.
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | (11164) unit = e0
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11155), (11164) imply:
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | (11165) ~ (all_10_1 = e0)
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11158), (11164) imply:
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | (11166) op(e1, e0) = all_61_13
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4), (11164) imply:
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | (11167) op(e1, e0) = e1
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (265) gives:
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | (11168) all_63_6 = e3
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5809), (11168) imply:
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | (11169) all_10_1 = e3
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9717), (11169) imply:
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | (11170) all_12_1 = e3
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10908), (11169) imply:
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | (11171) ~ (all_14_1 = e3)
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9721), (11169) imply:
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | (11172) op(e3, e2) = e2
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10954), (11169) imply:
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | (11173) op(e3, all_61_8) = e3
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (267) gives:
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | (11174) all_63_4 = e3
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10896), (11174) imply:
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | (11175) all_14_1 = e3
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11171), (11175) imply:
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | (11176) $false
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (11176) is inconsistent.
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | (11177) all_63_4 = e2 | all_63_4 = e1 | all_63_4 = e0
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11177) gives:
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11178) all_63_4 = e2
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10896), (11178) imply:
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11179) all_14_1 = e2
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10909), (11179) imply:
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11180) $false
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (11180) is inconsistent.
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11181) all_63_4 = e1 | all_63_4 = e0
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11181) gives:
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11182) all_63_4 = e1
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10896), (11182) imply:
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11183) all_14_1 = e1
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10910), (11183) imply:
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11184) $false
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (11184) is inconsistent.
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11185) all_63_4 = e0
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10896), (11185) imply:
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11186) all_14_1 = e0
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10901), (11186) imply:
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11187) ~ (all_61_3 = e0)
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10938), (11186) imply:
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11188) ~ (all_61_8 = e0)
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10907), (11186) imply:
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11189) ~ (all_61_12 = e0)
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10903), (11186) imply:
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11190) ~ (all_61_13 = e0)
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10953), (11186) imply:
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11191) op(e0, e1) = all_65_36
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10860), (11186) imply:
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11192) op(e3, e2) = e0
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10922), (11186) imply:
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11193) op(e1, e0) = all_65_36
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5769) gives:
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11194) ~ (all_10_1 = e3)
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (265), (5809), (5823), (9691), (11165), (11194)
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #287.
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11195) ~ (all_10_0 = e0) & op(e3, e1) = all_10_0 &
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_10_0)
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11195) implies:
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11196) op(e3, e1) = all_10_0
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (259) gives:
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11197) all_63_12 = e3
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (506), (11197) imply:
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11198) all_61_3 = e3
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10936), (11198) imply:
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11199) ~ (all_61_8 = e3)
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11199) implies:
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11200) ~ (all_61_8 = e3)
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10942), (11198) imply:
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11201) op(e3, e2) = all_65_57
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10952), (11198) imply:
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11202) op(e3, e1) = all_65_65
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (263) gives:
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11203) all_63_8 = e3
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10934), (11203) imply:
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11204) all_61_8 = e3
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11200), (11204) imply:
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11205) $false
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (11205) is inconsistent.
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11206) all_63_8 = e2 | all_63_8 = e1 | all_63_8 = e0
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11206) gives:
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11207) all_63_8 = e2
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10934), (11207) imply:
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11208) all_61_8 = e2
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5773), (11208) imply:
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11209) $false
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (11209) is inconsistent.
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11210) all_63_8 = e1 | all_63_8 = e0
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9684) gives:
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11211) ~ (all_12_1 = e3)
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11170), (11211) imply:
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11212) $false
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (11212) is inconsistent.
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11213) ~ (all_12_0 = e0) & op(e3, e2) = all_12_0 &
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_12_0)
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11213) implies:
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11214) op(e3, e2) = all_12_0
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11210) gives:
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11215) all_63_8 = e1
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10934), (11215) imply:
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11216) all_61_8 = e1
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (187), (11216) imply:
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11217) ~ (all_61_12 = e1)
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11217) implies:
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11218) ~ (all_61_12 = e1)
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10941), (11216) imply:
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11219) op(e1, e0) = all_65_35
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11173), (11216) imply:
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11220) op(e3, e1) = e3
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10947), (11216) imply:
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11221) op(e0, e1) = all_65_65
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (268) gives:
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11222) all_63_3 = e3
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (491), (11222) imply:
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11223) all_61_12 = e3
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11223) implies:
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11224) all_61_12 = e3
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (180), (11224) imply:
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11225) ~ (all_61_13 = e3)
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11225) implies:
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11226) ~ (all_61_13 = e3)
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11129), (11224) imply:
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11227) op(e3, e1) = all_65_35
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (264) gives:
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11228) all_63_7 = e3
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (498), (11226), (11228) are inconsistent by
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #280.
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11229) all_63_7 = e2 | all_63_7 = e1 | all_63_7 = e0
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11229) gives:
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11230) all_63_7 = e2
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (498), (11230) imply:
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11231) all_61_13 = e2
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11231) implies:
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11232) all_61_13 = e2
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10945), (11232) imply:
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11233) op(e3, e2) = all_65_19
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11166), (11232) imply:
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11234) op(e1, e0) = e2
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_65, all_65_36, e1,
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, simplifying with (11191), (11221) gives:
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11235) all_65_36 = all_65_65
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e1, all_65_36, e0, e1,
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (11167), (11193) gives:
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11236) all_65_36 = e1
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e2, all_65_35, e0, e1,
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (11219), (11234) gives:
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11237) all_65_35 = e2
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_10_0, all_65_65, e1,
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, simplifying with (11196), (11202) gives:
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11238) all_65_65 = all_10_0
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_10_0, all_65_35, e1,
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, simplifying with (11196), (11227) gives:
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11239) all_65_35 = all_10_0
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e3, all_65_35, e1, e3,
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (11220), (11227) gives:
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11240) all_65_35 = e3
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e2, all_12_0, e2, e3,
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (11172), (11214) gives:
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11241) all_12_0 = e2
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_12_0, all_65_57, e2,
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, simplifying with (11201), (11214) gives:
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11242) all_65_57 = all_12_0
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_57, all_65_19, e2,
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, simplifying with (11201), (11233) gives:
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11243) all_65_19 = all_65_57
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e0, all_65_19, e2, e3,
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (11192), (11233) gives:
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11244) all_65_19 = e0
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11243), (11244) imply:
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11245) all_65_57 = e0
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11245) implies:
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11246) all_65_57 = e0
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11237), (11240) imply:
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11247) e3 = e2
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11239), (11240) imply:
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11248) all_10_0 = e3
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11248) implies:
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11249) all_10_0 = e3
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11235), (11236) imply:
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11250) all_65_65 = e1
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11242), (11246) imply:
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11251) all_12_0 = e0
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11251) implies:
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11252) all_12_0 = e0
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11238), (11250) imply:
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11253) all_10_0 = e1
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11253) implies:
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11254) all_10_0 = e1
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11241), (11252) imply:
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11255) e2 = e0
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11255) implies:
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11256) e2 = e0
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11249), (11254) imply:
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11257) e3 = e1
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11257) implies:
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11258) e3 = e1
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11247), (11258) imply:
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11259) e2 = e1
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (11256), (11259) are inconsistent by
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #397.
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11260) all_63_7 = e1 | all_63_7 = e0
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (498), (9690), (11190), (11260) are inconsistent
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #475.
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11261) all_63_3 = e2 | all_63_3 = e1 | all_63_3 = e0
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (491), (10864), (11189), (11218), (11261) are
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #489.
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11262) all_63_8 = e0
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10934), (11262) imply:
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11263) all_61_8 = e0
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11188), (11263) imply:
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11264) $false
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (11264) is inconsistent.
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11265) all_63_12 = e2 | all_63_12 = e1 | all_63_12 = e0
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (506), (10862), (11070), (11187), (11265) are
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #330.
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | (11266) all_63_6 = e2 | all_63_6 = e1 | all_63_6 = e0
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5809), (5823), (9691), (11165), (11266) are
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #288.
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | End of split
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | (11267) all_58_3 = e3
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | (11268) all_58_0 = e0
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (50), (149), (161), (475), (478), (481),
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | (484), (538), (629), (633), (748), (5784), (9698),
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | (11139), (11267), (11268) are inconsistent by
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | sub-proof #216.
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | End of split
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | Case 2:
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | (11269) all_58_2 = e3
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | (11270) all_58_0 = e1
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (484), (11270) imply:
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | (11271) all_52_0 = e1
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | SIMP: (11271) implies:
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | (11272) all_52_0 = e1
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (478), (11269) imply:
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | (11273) all_52_2 = e3
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | SIMP: (11273) implies:
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | (11274) all_52_2 = e3
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | REDUCE: (630), (11272) imply:
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | (11275) ~ (all_52_3 = e1)
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | SIMP: (11275) implies:
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | (11276) ~ (all_52_3 = e1)
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | REDUCE: (633), (11274) imply:
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | (11277) ~ (all_52_3 = e3)
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | SIMP: (11277) implies:
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | (11278) ~ (all_52_3 = e3)
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (9), (20), (50), (148), (158), (225), (231),
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | (475), (481), (539), (663), (728), (731), (765),
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | (5776), (5784), (9720), (9723), (11078), (11276),
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | (11278) are inconsistent by sub-proof #217.
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | End of split
% 174.62/26.71 | | | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | | Case 2:
% 174.62/26.71 | | | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | (11279) all_58_1 = e0
% 174.62/26.71 | | | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (481), (11141), (11279) are inconsistent by
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | sub-proof #462.
% 174.62/26.71 | | | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | | End of split
% 174.62/26.71 | | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | Case 2:
% 174.62/26.71 | | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | | (11280) all_58_3 = e2
% 174.62/26.71 | | | | | | | | | | | | | | | | | | (11281) all_58_1 = e0
% 174.62/26.71 | | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (50), (225), (231), (475), (481), (663),
% 174.62/26.71 | | | | | | | | | | | | | | | | | | (728), (731), (765), (5776), (9720), (9723),
% 174.62/26.71 | | | | | | | | | | | | | | | | | | (11280), (11281) are inconsistent by sub-proof
% 174.62/26.71 | | | | | | | | | | | | | | | | | | #208.
% 174.62/26.71 | | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | End of split
% 174.62/26.71 | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | Case 2:
% 174.62/26.71 | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | (11282) all_58_2 = e2
% 174.62/26.71 | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | REF_CLOSE: (478), (11137), (11282) are inconsistent by
% 174.62/26.71 | | | | | | | | | | | | | | | | | sub-proof #433.
% 174.62/26.71 | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | End of split
% 174.62/26.71 | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | Case 2:
% 174.62/26.71 | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | (11283) all_58_1 = e1
% 174.62/26.71 | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | COMBINE_EQS: (481), (11283) imply:
% 174.62/26.71 | | | | | | | | | | | | | | | | (11284) all_52_1 = e1
% 174.62/26.71 | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | SIMP: (11284) implies:
% 174.62/26.71 | | | | | | | | | | | | | | | | (11285) all_52_1 = e1
% 174.62/26.71 | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | REDUCE: (731), (11285) imply:
% 174.62/26.71 | | | | | | | | | | | | | | | | (11286) op(e2, e1) = unit
% 174.62/26.71 | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_10_1, unit, e1, e2,
% 174.62/26.71 | | | | | | | | | | | | | | | | simplifying with (5838), (11286) gives:
% 174.62/26.71 | | | | | | | | | | | | | | | | (11287) all_10_1 = unit
% 174.62/26.71 | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | COMBINE_EQS: (5806), (11287) imply:
% 174.62/26.71 | | | | | | | | | | | | | | | | (11288) all_18_1 = unit
% 174.62/26.71 | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | COMBINE_EQS: (5809), (11287) imply:
% 174.62/26.71 | | | | | | | | | | | | | | | | (11289) all_63_6 = unit
% 174.62/26.71 | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | REDUCE: (5817), (11287) imply:
% 174.62/26.71 | | | | | | | | | | | | | | | | (11290) ~ (all_61_8 = unit)
% 174.62/26.71 | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | REDUCE: (5821), (11287) imply:
% 174.62/26.71 | | | | | | | | | | | | | | | | (11291) ~ (all_61_13 = unit)
% 174.62/26.71 | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | REDUCE: (11103), (11287) imply:
% 174.62/26.71 | | | | | | | | | | | | | | | | (11292) ~ (all_42_1 = unit)
% 174.62/26.71 | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | REDUCE: (10908), (11287) imply:
% 174.62/26.71 | | | | | | | | | | | | | | | | (11293) ~ (all_14_1 = unit)
% 174.62/26.71 | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | REDUCE: (5823), (11287) imply:
% 174.62/26.71 | | | | | | | | | | | | | | | | (11294) ~ (unit = e2)
% 174.62/26.71 | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | REDUCE: (9691), (11287) imply:
% 174.62/26.71 | | | | | | | | | | | | | | | | (11295) ~ (unit = e1)
% 174.62/26.71 | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | BETA: splitting (265) gives:
% 174.62/26.71 | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | Case 1:
% 174.62/26.71 | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | (11296) all_63_6 = e3
% 174.62/26.71 | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | COMBINE_EQS: (11289), (11296) imply:
% 174.62/26.71 | | | | | | | | | | | | | | | | | (11297) unit = e3
% 174.62/26.71 | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | REDUCE: (851), (11297) imply:
% 174.62/26.71 | | | | | | | | | | | | | | | | | (11298) $false
% 174.62/26.71 | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | CLOSE: (11298) is inconsistent.
% 174.62/26.71 | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | Case 2:
% 174.62/26.71 | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | (11299) all_63_6 = e2 | all_63_6 = e1 | all_63_6 = e0
% 174.62/26.71 | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | BETA: splitting (11299) gives:
% 174.62/26.71 | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | Case 1:
% 174.62/26.71 | | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | | (11300) all_63_6 = e2
% 174.62/26.71 | | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11289), (11300) imply:
% 174.62/26.71 | | | | | | | | | | | | | | | | | | (11301) unit = e2
% 174.62/26.71 | | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | | REDUCE: (11294), (11301) imply:
% 174.62/26.71 | | | | | | | | | | | | | | | | | | (11302) $false
% 174.62/26.71 | | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | | CLOSE: (11302) is inconsistent.
% 174.62/26.71 | | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | Case 2:
% 174.62/26.71 | | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | | (11303) all_63_6 = e1 | all_63_6 = e0
% 174.62/26.71 | | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | | BETA: splitting (11303) gives:
% 174.62/26.71 | | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | | Case 1:
% 174.62/26.71 | | | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | (11304) all_63_6 = e1
% 174.62/26.71 | | | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11289), (11304) imply:
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | (11305) unit = e1
% 174.62/26.71 | | | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | REDUCE: (11295), (11305) imply:
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | (11306) $false
% 174.62/26.71 | | | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | CLOSE: (11306) is inconsistent.
% 174.62/26.71 | | | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | | Case 2:
% 174.62/26.71 | | | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | (11307) all_63_6 = e0
% 174.62/26.71 | | | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11289), (11307) imply:
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | (11308) unit = e0
% 174.62/26.71 | | | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11288), (11308) imply:
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | (11309) all_18_1 = e0
% 174.62/26.71 | | | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | REDUCE: (11290), (11308) imply:
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | (11310) ~ (all_61_8 = e0)
% 174.62/26.71 | | | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | REDUCE: (11291), (11308) imply:
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | (11311) ~ (all_61_13 = e0)
% 174.62/26.71 | | | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | REDUCE: (11292), (11308) imply:
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | (11312) ~ (all_42_1 = e0)
% 174.62/26.71 | | | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | REDUCE: (11293), (11308) imply:
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | (11313) ~ (all_14_1 = e0)
% 174.62/26.71 | | | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | BETA: splitting (270) gives:
% 174.62/26.71 | | | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | Case 1:
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | (11314) all_63_1 = e3
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10897), (11314) imply:
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | (11315) all_14_1 = e3
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | REDUCE: (10913), (11315) imply:
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | (11316) op(e3, e0) = all_65_19
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | REDUCE: (10860), (11315) imply:
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | (11317) op(e3, e2) = e3
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | REDUCE: (10946), (11315) imply:
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | (11318) op(e2, e3) = all_61_8
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | BETA: splitting (257) gives:
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | (11319) all_63_14 = e3
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11098), (11319) imply:
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | (11320) all_42_1 = e3
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | REDUCE: (11101), (11320) imply:
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | (11321) ~ (all_61_8 = e3)
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | REDUCE: (11102), (11320) imply:
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | (11322) ~ (all_61_12 = e3)
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | REDUCE: (11126), (11320) imply:
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | (11323) ~ (all_61_13 = e3)
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | REDUCE: (11106), (11320) imply:
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | (11324) op(e3, e3) = all_65_65
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | REDUCE: (11107), (11320) imply:
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | (11325) op(e3, e2) = all_65_67
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | REDUCE: (11113), (11320) imply:
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | (11326) op(e3, e3) = all_65_35
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | REDUCE: (11135), (11320) imply:
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | (11327) op(e2, e3) = all_65_67
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | REDUCE: (11067), (11320) imply:
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | (11328) op(e0, e1) = e3
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (263) gives:
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | (11329) all_63_8 = e3
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10934), (11329) imply:
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | (11330) all_61_8 = e3
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11321), (11330) imply:
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | (11331) $false
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (11331) is inconsistent.
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | (11332) all_63_8 = e2 | all_63_8 = e1 | all_63_8 = e0
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11332) gives:
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | (11333) all_63_8 = e2
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10934), (11333) imply:
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | (11334) all_61_8 = e2
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5773), (11334) imply:
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | (11335) $false
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (11335) is inconsistent.
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | (11336) all_63_8 = e1 | all_63_8 = e0
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11336) gives:
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | (11337) all_63_8 = e1
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10934), (11337) imply:
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | (11338) all_61_8 = e1
% 174.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (187), (11338) imply:
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | (11339) ~ (all_61_12 = e1)
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11339) implies:
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | (11340) ~ (all_61_12 = e1)
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11318), (11338) imply:
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | (11341) op(e2, e3) = e1
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10947), (11338) imply:
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | (11342) op(e0, e1) = all_65_65
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (268) gives:
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | (11343) all_63_3 = e3
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (491), (11322), (11343) are inconsistent by
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #361.
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | (11344) all_63_3 = e2 | all_63_3 = e1 | all_63_3 = e0
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5790) gives:
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | (11345) ~ (all_18_1 = e0)
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11309), (11345) imply:
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | (11346) $false
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (11346) is inconsistent.
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | (11347) ~ (all_18_0 = e3) & op(e0, e1) = all_18_0 &
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_18_0)
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11347) implies:
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | (11348) op(e0, e1) = all_18_0
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (264) gives:
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11349) all_63_7 = e3
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (498), (11323), (11349) are inconsistent by
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #280.
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11350) all_63_7 = e2 | all_63_7 = e1 | all_63_7 = e0
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11350) gives:
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11351) all_63_7 = e2
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (498), (11351) imply:
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11352) all_61_13 = e2
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11352) implies:
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11353) all_61_13 = e2
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11127), (11353) imply:
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11354) op(e2, e3) = all_65_57
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10945), (11353) imply:
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11355) op(e3, e2) = all_65_19
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11344) gives:
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11356) all_63_3 = e2
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (491), (10864), (11356) are inconsistent by
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #492.
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11357) all_63_3 = e1 | all_63_3 = e0
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11357) gives:
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11358) all_63_3 = e1
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (491), (11340), (11358) are inconsistent by
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #491.
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11359) all_63_3 = e0
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (491), (11359) imply:
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11360) all_61_12 = e0
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11360) implies:
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11361) all_61_12 = e0
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11340), (11361) imply:
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11362) ~ (e1 = e0)
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (235), (11361) imply:
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11363) op(e3, e0) = e0
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e3, all_18_0, e1, e0,
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (11328), (11348) gives:
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11364) all_18_0 = e3
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_18_0, all_65_65, e1,
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, simplifying with (11342), (11348) gives:
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11365) all_65_65 = all_18_0
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_67, all_65_57, e3,
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, simplifying with (11327), (11354) gives:
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11366) all_65_57 = all_65_67
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e1, all_65_57, e3, e2,
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (11341), (11354) gives:
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11367) all_65_57 = e1
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e0, all_65_19, e0, e3,
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (11316), (11363) gives:
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11368) all_65_19 = e0
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e3, all_65_67, e2, e3,
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (11317), (11325) gives:
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11369) all_65_67 = e3
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e3, all_65_19, e2, e3,
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (11317), (11355) gives:
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11370) all_65_19 = e3
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e2, all_65_35, e3, e3,
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (10870), (11326) gives:
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11371) all_65_35 = e2
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_65, all_65_35, e3,
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, simplifying with (11324), (11326) gives:
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11372) all_65_35 = all_65_65
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11368), (11370) imply:
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11373) e3 = e0
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11373) implies:
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11374) e3 = e0
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11371), (11372) imply:
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11375) all_65_65 = e2
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11375) implies:
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11376) all_65_65 = e2
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11366), (11367) imply:
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11377) all_65_67 = e1
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11377) implies:
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11378) all_65_67 = e1
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11365), (11376) imply:
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11379) all_18_0 = e2
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11379) implies:
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11380) all_18_0 = e2
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11369), (11378) imply:
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11381) e3 = e1
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11381) implies:
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11382) e3 = e1
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11364), (11380) imply:
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11383) e3 = e2
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11383) implies:
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11384) e3 = e2
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11374), (11384) imply:
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11385) e2 = e0
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11382), (11384) imply:
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11386) e2 = e1
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (11385), (11386) are inconsistent by
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #403.
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11387) all_63_7 = e1 | all_63_7 = e0
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (498), (9690), (11311), (11387) are inconsistent
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #475.
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | (11388) all_63_8 = e0
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10934), (11388) imply:
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | (11389) all_61_8 = e0
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11310), (11389) imply:
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | (11390) $false
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (11390) is inconsistent.
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | End of split
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | (11391) ~ (all_63_14 = e3)
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | REDUCE: (11098), (11391) imply:
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | (11392) ~ (all_42_1 = e3)
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (260), (11099), (11104), (11105), (11312), (11392)
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #449.
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | End of split
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | |
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | Case 2:
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | |
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | (11393) ~ (all_63_1 = e3)
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | |
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | REDUCE: (10897), (11393) imply:
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | (11394) ~ (all_14_1 = e3)
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | |
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (267), (10896), (10909), (10910), (11313), (11394)
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #353.
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | |
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | End of split
% 174.62/26.72 | | | | | | | | | | | | | | | | | | |
% 174.62/26.72 | | | | | | | | | | | | | | | | | | End of split
% 174.62/26.72 | | | | | | | | | | | | | | | | | |
% 174.62/26.72 | | | | | | | | | | | | | | | | | End of split
% 174.62/26.72 | | | | | | | | | | | | | | | | |
% 174.62/26.72 | | | | | | | | | | | | | | | | End of split
% 174.62/26.72 | | | | | | | | | | | | | | | |
% 174.62/26.72 | | | | | | | | | | | | | | | End of split
% 174.62/26.72 | | | | | | | | | | | | | | |
% 174.62/26.72 | | | | | | | | | | | | | | End of split
% 174.62/26.72 | | | | | | | | | | | | | |
% 174.62/26.72 | | | | | | | | | | | | | End of split
% 174.62/26.72 | | | | | | | | | | | | |
% 174.62/26.72 | | | | | | | | | | | | Case 2:
% 174.62/26.72 | | | | | | | | | | | | |
% 174.62/26.72 | | | | | | | | | | | | | (11395) all_28_2 = e3
% 174.62/26.72 | | | | | | | | | | | | | (11396) op(e0, e3) = all_28_1 & $i(all_28_1) & ( ~
% 174.62/26.72 | | | | | | | | | | | | | (all_28_1 = e2) | ( ~ (all_28_0 = e1) & op(e2,
% 174.62/26.72 | | | | | | | | | | | | | e0) = all_28_0 & $i(all_28_0)))
% 174.62/26.72 | | | | | | | | | | | | |
% 174.62/26.72 | | | | | | | | | | | | | ALPHA: (11396) implies:
% 174.62/26.72 | | | | | | | | | | | | | (11397) op(e0, e3) = all_28_1
% 174.62/26.72 | | | | | | | | | | | | |
% 174.62/26.72 | | | | | | | | | | | | | COMBINE_EQS: (563), (11395) imply:
% 174.62/26.72 | | | | | | | | | | | | | (11398) all_20_2 = e3
% 174.62/26.72 | | | | | | | | | | | | |
% 174.62/26.72 | | | | | | | | | | | | | SIMP: (11398) implies:
% 174.62/26.72 | | | | | | | | | | | | | (11399) all_20_2 = e3
% 174.62/26.72 | | | | | | | | | | | | |
% 174.62/26.72 | | | | | | | | | | | | | COMBINE_EQS: (555), (11399) imply:
% 174.62/26.72 | | | | | | | | | | | | | (11400) all_34_2 = e3
% 174.62/26.72 | | | | | | | | | | | | |
% 174.62/26.72 | | | | | | | | | | | | | REDUCE: (624), (11399) imply:
% 174.62/26.72 | | | | | | | | | | | | | (11401) ~ (all_61_11 = e3)
% 174.62/26.72 | | | | | | | | | | | | |
% 174.62/26.72 | | | | | | | | | | | | | REDUCE: (697), (11399) imply:
% 174.62/26.72 | | | | | | | | | | | | | (11402) op(e3, e0) = all_65_78
% 174.62/26.72 | | | | | | | | | | | | |
% 174.62/26.72 | | | | | | | | | | | | | REDUCE: (764), (11399) imply:
% 174.62/26.72 | | | | | | | | | | | | | (11403) op(e0, e3) = all_65_78
% 174.62/26.72 | | | | | | | | | | | | |
% 174.62/26.72 | | | | | | | | | | | | | REDUCE: (76), (11399) imply:
% 174.62/26.72 | | | | | | | | | | | | | (11404) op(e0, e0) = e3
% 174.62/26.72 | | | | | | | | | | | | |
% 174.62/26.72 | | | | | | | | | | | | | BETA: splitting (98) gives:
% 174.62/26.72 | | | | | | | | | | | | |
% 174.62/26.72 | | | | | | | | | | | | | Case 1:
% 174.62/26.72 | | | | | | | | | | | | | |
% 174.62/26.72 | | | | | | | | | | | | | | (11405) ~ (all_34_2 = e3)
% 174.62/26.72 | | | | | | | | | | | | | |
% 174.62/26.72 | | | | | | | | | | | | | | REDUCE: (11400), (11405) imply:
% 174.62/26.72 | | | | | | | | | | | | | | (11406) $false
% 174.62/26.72 | | | | | | | | | | | | | |
% 174.62/26.72 | | | | | | | | | | | | | | CLOSE: (11406) is inconsistent.
% 174.62/26.72 | | | | | | | | | | | | | |
% 174.62/26.72 | | | | | | | | | | | | | Case 2:
% 174.62/26.72 | | | | | | | | | | | | | |
% 174.62/26.72 | | | | | | | | | | | | | | (11407) op(e0, e3) = all_34_1 & $i(all_34_1) & ( ~
% 174.62/26.72 | | | | | | | | | | | | | | (all_34_1 = e1) | ( ~ (all_34_0 = e2) & op(e1,
% 174.62/26.72 | | | | | | | | | | | | | | e0) = all_34_0 & $i(all_34_0)))
% 174.62/26.72 | | | | | | | | | | | | | |
% 174.62/26.72 | | | | | | | | | | | | | | ALPHA: (11407) implies:
% 174.62/26.72 | | | | | | | | | | | | | | (11408) op(e0, e3) = all_34_1
% 174.62/26.72 | | | | | | | | | | | | | |
% 174.62/26.72 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_3, all_28_1, e3,
% 174.62/26.72 | | | | | | | | | | | | | | e0, simplifying with (226), (11397) gives:
% 174.62/26.72 | | | | | | | | | | | | | | (11409) all_61_3 = all_28_1
% 174.62/26.72 | | | | | | | | | | | | | |
% 174.62/26.72 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_3, all_65_78, e3,
% 174.62/26.72 | | | | | | | | | | | | | | e0, simplifying with (226), (11403) gives:
% 174.62/26.72 | | | | | | | | | | | | | | (11410) all_65_78 = all_61_3
% 174.62/26.72 | | | | | | | | | | | | | |
% 174.62/26.72 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_34_1, all_65_78, e3,
% 174.62/26.72 | | | | | | | | | | | | | | e0, simplifying with (11403), (11408) gives:
% 174.62/26.72 | | | | | | | | | | | | | | (11411) all_65_78 = all_34_1
% 174.62/26.72 | | | | | | | | | | | | | |
% 174.62/26.72 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_12, all_65_78, e0,
% 174.62/26.72 | | | | | | | | | | | | | | e3, simplifying with (235), (11402) gives:
% 174.62/26.72 | | | | | | | | | | | | | | (11412) all_65_78 = all_61_12
% 174.62/26.72 | | | | | | | | | | | | | |
% 174.62/26.72 | | | | | | | | | | | | | | COMBINE_EQS: (11410), (11411) imply:
% 174.62/26.72 | | | | | | | | | | | | | | (11413) all_61_3 = all_34_1
% 174.62/26.72 | | | | | | | | | | | | | |
% 174.62/26.72 | | | | | | | | | | | | | | SIMP: (11413) implies:
% 174.62/26.72 | | | | | | | | | | | | | | (11414) all_61_3 = all_34_1
% 174.62/26.72 | | | | | | | | | | | | | |
% 174.62/26.72 | | | | | | | | | | | | | | COMBINE_EQS: (11411), (11412) imply:
% 174.62/26.72 | | | | | | | | | | | | | | (11415) all_61_12 = all_34_1
% 174.62/26.72 | | | | | | | | | | | | | |
% 174.62/26.72 | | | | | | | | | | | | | | SIMP: (11415) implies:
% 174.62/26.72 | | | | | | | | | | | | | | (11416) all_61_12 = all_34_1
% 174.62/26.72 | | | | | | | | | | | | | |
% 174.62/26.72 | | | | | | | | | | | | | | COMBINE_EQS: (11409), (11414) imply:
% 174.62/26.72 | | | | | | | | | | | | | | (11417) all_34_1 = all_28_1
% 174.62/26.72 | | | | | | | | | | | | | |
% 174.62/26.72 | | | | | | | | | | | | | | COMBINE_EQS: (11416), (11417) imply:
% 174.62/26.72 | | | | | | | | | | | | | | (11418) all_61_12 = all_28_1
% 174.62/26.72 | | | | | | | | | | | | | |
% 174.62/26.72 | | | | | | | | | | | | | | REDUCE: (10915), (11409) imply:
% 174.62/26.72 | | | | | | | | | | | | | | (11419) op(all_28_1, e3) = all_61_7
% 174.62/26.72 | | | | | | | | | | | | | |
% 174.62/26.72 | | | | | | | | | | | | | | REDUCE: (646), (11418) imply:
% 174.62/26.72 | | | | | | | | | | | | | | (11420) op(all_28_1, e3) = all_65_12
% 174.62/26.72 | | | | | | | | | | | | | |
% 174.62/26.72 | | | | | | | | | | | | | | REDUCE: (710), (11409) imply:
% 174.62/26.72 | | | | | | | | | | | | | | (11421) op(e3, all_28_1) = all_65_12
% 174.62/26.72 | | | | | | | | | | | | | |
% 174.62/26.72 | | | | | | | | | | | | | | REDUCE: (10919), (11418) imply:
% 174.62/26.72 | | | | | | | | | | | | | | (11422) op(e3, all_28_1) = all_61_13
% 174.62/26.72 | | | | | | | | | | | | | |
% 174.62/26.72 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_13, all_65_12,
% 174.62/26.72 | | | | | | | | | | | | | | all_28_1, e3, simplifying with (11421), (11422)
% 174.62/26.72 | | | | | | | | | | | | | | gives:
% 174.62/26.72 | | | | | | | | | | | | | | (11423) all_65_12 = all_61_13
% 174.62/26.72 | | | | | | | | | | | | | |
% 174.62/26.72 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_7, all_65_12, e3,
% 174.62/26.72 | | | | | | | | | | | | | | all_28_1, simplifying with (11419), (11420) gives:
% 174.62/26.72 | | | | | | | | | | | | | | (11424) all_65_12 = all_61_7
% 174.62/26.72 | | | | | | | | | | | | | |
% 174.62/26.72 | | | | | | | | | | | | | | COMBINE_EQS: (11423), (11424) imply:
% 174.62/26.72 | | | | | | | | | | | | | | (11425) all_61_7 = all_61_13
% 174.62/26.72 | | | | | | | | | | | | | |
% 174.62/26.72 | | | | | | | | | | | | | | REDUCE: (9720), (11425) imply:
% 174.62/26.72 | | | | | | | | | | | | | | (11426) op(all_61_13, e2) = all_61_11
% 174.62/26.72 | | | | | | | | | | | | | |
% 174.62/26.72 | | | | | | | | | | | | | | REDUCE: (5833), (11425) imply:
% 174.62/26.72 | | | | | | | | | | | | | | (11427) op(all_61_11, e1) = all_61_13
% 174.62/26.72 | | | | | | | | | | | | | |
% 174.62/26.72 | | | | | | | | | | | | | | REDUCE: (728), (11425) imply:
% 174.62/26.72 | | | | | | | | | | | | | | (11428) op(e2, all_61_13) = all_65_29
% 174.62/26.72 | | | | | | | | | | | | | |
% 174.62/26.72 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_14, all_65_29,
% 174.62/26.72 | | | | | | | | | | | | | | all_61_13, e2, simplifying with (9723), (11428)
% 174.62/26.72 | | | | | | | | | | | | | | gives:
% 174.62/26.72 | | | | | | | | | | | | | | (11429) all_65_29 = all_61_14
% 174.62/26.72 | | | | | | | | | | | | | |
% 174.62/26.72 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_29, all_61_11, e2,
% 174.62/26.72 | | | | | | | | | | | | | | all_61_13, simplifying with (663), (11426) gives:
% 174.62/26.72 | | | | | | | | | | | | | | (11430) all_65_29 = all_61_11
% 174.62/26.72 | | | | | | | | | | | | | |
% 174.62/26.72 | | | | | | | | | | | | | | COMBINE_EQS: (11429), (11430) imply:
% 174.62/26.72 | | | | | | | | | | | | | | (11431) all_61_11 = all_61_14
% 174.62/26.72 | | | | | | | | | | | | | |
% 174.62/26.72 | | | | | | | | | | | | | | REDUCE: (11401), (11431) imply:
% 174.62/26.72 | | | | | | | | | | | | | | (11432) ~ (all_61_14 = e3)
% 174.62/26.72 | | | | | | | | | | | | | |
% 174.62/26.72 | | | | | | | | | | | | | | REDUCE: (11427), (11431) imply:
% 174.62/26.72 | | | | | | | | | | | | | | (11433) op(all_61_14, e1) = all_61_13
% 174.62/26.72 | | | | | | | | | | | | | |
% 174.62/26.72 | | | | | | | | | | | | | | REDUCE: (11426), (11431) imply:
% 174.62/26.72 | | | | | | | | | | | | | | (11434) op(all_61_13, e2) = all_61_14
% 174.62/26.72 | | | | | | | | | | | | | |
% 174.62/26.72 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_46, all_61_13, e1,
% 174.62/26.72 | | | | | | | | | | | | | | all_61_14, simplifying with (680), (11433) gives:
% 174.62/26.72 | | | | | | | | | | | | | | (11435) all_65_46 = all_61_13
% 174.62/26.72 | | | | | | | | | | | | | |
% 174.62/26.72 | | | | | | | | | | | | | | BETA: splitting (161) gives:
% 174.62/26.72 | | | | | | | | | | | | | |
% 174.62/26.72 | | | | | | | | | | | | | | Case 1:
% 174.62/26.72 | | | | | | | | | | | | | | |
% 174.62/26.72 | | | | | | | | | | | | | | | (11436) ~ (all_58_2 = e2)
% 174.62/26.72 | | | | | | | | | | | | | | |
% 174.62/26.72 | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (50), (148), (149), (150), (157), (158),
% 174.62/26.72 | | | | | | | | | | | | | | | (159), (163), (227), (231), (475), (478), (481),
% 174.62/26.72 | | | | | | | | | | | | | | | (484), (536), (538), (539), (628), (629), (631),
% 174.62/26.72 | | | | | | | | | | | | | | | (632), (633), (731), (748), (765), (851), (5776),
% 174.62/26.72 | | | | | | | | | | | | | | | (5784), (9690), (9698), (11404), (11433), (11434),
% 174.62/26.72 | | | | | | | | | | | | | | | (11436) are inconsistent by sub-proof #213.
% 174.62/26.72 | | | | | | | | | | | | | | |
% 174.62/26.72 | | | | | | | | | | | | | | Case 2:
% 174.62/26.72 | | | | | | | | | | | | | | |
% 174.62/26.72 | | | | | | | | | | | | | | | (11437) all_58_1 = e1
% 174.62/26.72 | | | | | | | | | | | | | | |
% 174.62/26.72 | | | | | | | | | | | | | | | COMBINE_EQS: (481), (11437) imply:
% 174.62/26.72 | | | | | | | | | | | | | | | (11438) all_52_1 = e1
% 174.62/26.72 | | | | | | | | | | | | | | |
% 174.62/26.72 | | | | | | | | | | | | | | | SIMP: (11438) implies:
% 174.62/26.72 | | | | | | | | | | | | | | | (11439) all_52_1 = e1
% 174.62/26.72 | | | | | | | | | | | | | | |
% 174.62/26.72 | | | | | | | | | | | | | | | REDUCE: (731), (11439) imply:
% 174.62/26.72 | | | | | | | | | | | | | | | (11440) op(e2, e1) = unit
% 174.62/26.72 | | | | | | | | | | | | | | |
% 174.62/26.72 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_10_1, unit, e1, e2,
% 174.62/26.72 | | | | | | | | | | | | | | | simplifying with (5838), (11440) gives:
% 174.62/26.72 | | | | | | | | | | | | | | | (11441) all_10_1 = unit
% 174.62/26.72 | | | | | | | | | | | | | | |
% 174.62/26.72 | | | | | | | | | | | | | | | REDUCE: (5817), (11441) imply:
% 174.62/26.72 | | | | | | | | | | | | | | | (11442) ~ (all_61_8 = unit)
% 174.62/26.72 | | | | | | | | | | | | | | |
% 174.62/26.72 | | | | | | | | | | | | | | | REDUCE: (5816), (11441) imply:
% 174.62/26.72 | | | | | | | | | | | | | | | (11443) ~ (all_61_14 = unit)
% 174.62/26.72 | | | | | | | | | | | | | | |
% 174.62/26.72 | | | | | | | | | | | | | | | REDUCE: (10908), (11441) imply:
% 174.62/26.72 | | | | | | | | | | | | | | | (11444) ~ (all_14_1 = unit)
% 174.62/26.72 | | | | | | | | | | | | | | |
% 174.62/26.72 | | | | | | | | | | | | | | | REDUCE: (5823), (11441) imply:
% 174.62/26.72 | | | | | | | | | | | | | | | (11445) ~ (unit = e2)
% 174.62/26.72 | | | | | | | | | | | | | | |
% 174.62/26.72 | | | | | | | | | | | | | | | REDUCE: (9691), (11441) imply:
% 174.62/26.72 | | | | | | | | | | | | | | | (11446) ~ (unit = e1)
% 174.62/26.72 | | | | | | | | | | | | | | |
% 174.62/26.72 | | | | | | | | | | | | | | | BETA: splitting (852) gives:
% 174.62/26.72 | | | | | | | | | | | | | | |
% 174.62/26.72 | | | | | | | | | | | | | | | Case 1:
% 174.62/26.72 | | | | | | | | | | | | | | | |
% 174.62/26.72 | | | | | | | | | | | | | | | | (11447) unit = e2
% 174.62/26.72 | | | | | | | | | | | | | | | |
% 174.62/26.72 | | | | | | | | | | | | | | | | REDUCE: (11445), (11447) imply:
% 174.62/26.72 | | | | | | | | | | | | | | | | (11448) $false
% 174.62/26.72 | | | | | | | | | | | | | | | |
% 174.62/26.72 | | | | | | | | | | | | | | | | CLOSE: (11448) is inconsistent.
% 174.62/26.72 | | | | | | | | | | | | | | | |
% 174.62/26.72 | | | | | | | | | | | | | | | Case 2:
% 174.62/26.72 | | | | | | | | | | | | | | | |
% 174.62/26.72 | | | | | | | | | | | | | | | | (11449) unit = e1 | unit = e0
% 174.62/26.72 | | | | | | | | | | | | | | | |
% 174.62/26.72 | | | | | | | | | | | | | | | | BETA: splitting (11449) gives:
% 174.62/26.72 | | | | | | | | | | | | | | | |
% 174.62/26.72 | | | | | | | | | | | | | | | | Case 1:
% 174.62/26.72 | | | | | | | | | | | | | | | | |
% 174.62/26.72 | | | | | | | | | | | | | | | | | (11450) unit = e1
% 174.62/26.72 | | | | | | | | | | | | | | | | |
% 174.62/26.72 | | | | | | | | | | | | | | | | | REDUCE: (11446), (11450) imply:
% 174.62/26.72 | | | | | | | | | | | | | | | | | (11451) $false
% 174.62/26.72 | | | | | | | | | | | | | | | | |
% 174.62/26.72 | | | | | | | | | | | | | | | | | CLOSE: (11451) is inconsistent.
% 174.62/26.72 | | | | | | | | | | | | | | | | |
% 174.62/26.72 | | | | | | | | | | | | | | | | Case 2:
% 174.62/26.72 | | | | | | | | | | | | | | | | |
% 174.62/26.72 | | | | | | | | | | | | | | | | | (11452) unit = e0
% 174.62/26.72 | | | | | | | | | | | | | | | | |
% 174.62/26.72 | | | | | | | | | | | | | | | | | REDUCE: (11442), (11452) imply:
% 174.62/26.72 | | | | | | | | | | | | | | | | | (11453) ~ (all_61_8 = e0)
% 174.62/26.72 | | | | | | | | | | | | | | | | |
% 174.62/26.72 | | | | | | | | | | | | | | | | | REDUCE: (11443), (11452) imply:
% 174.62/26.72 | | | | | | | | | | | | | | | | | (11454) ~ (all_61_14 = e0)
% 174.62/26.72 | | | | | | | | | | | | | | | | |
% 174.62/26.72 | | | | | | | | | | | | | | | | | REDUCE: (11444), (11452) imply:
% 174.62/26.72 | | | | | | | | | | | | | | | | | (11455) ~ (all_14_1 = e0)
% 174.62/26.72 | | | | | | | | | | | | | | | | |
% 174.62/26.72 | | | | | | | | | | | | | | | | | BETA: splitting (267) gives:
% 174.62/26.72 | | | | | | | | | | | | | | | | |
% 174.62/26.72 | | | | | | | | | | | | | | | | | Case 1:
% 174.62/26.72 | | | | | | | | | | | | | | | | | |
% 174.62/26.72 | | | | | | | | | | | | | | | | | | (11456) all_63_4 = e3
% 174.62/26.72 | | | | | | | | | | | | | | | | | |
% 174.62/26.72 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10896), (11456) imply:
% 174.62/26.72 | | | | | | | | | | | | | | | | | | (11457) all_14_1 = e3
% 174.62/26.72 | | | | | | | | | | | | | | | | | |
% 174.62/26.72 | | | | | | | | | | | | | | | | | | REDUCE: (10938), (11457) imply:
% 174.62/26.72 | | | | | | | | | | | | | | | | | | (11458) ~ (all_61_8 = e3)
% 174.62/26.72 | | | | | | | | | | | | | | | | | |
% 174.62/26.72 | | | | | | | | | | | | | | | | | | BETA: splitting (260) gives:
% 174.62/26.72 | | | | | | | | | | | | | | | | | |
% 174.62/26.72 | | | | | | | | | | | | | | | | | | Case 1:
% 174.62/26.72 | | | | | | | | | | | | | | | | | | |
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | (11459) all_63_11 = e3
% 174.62/26.72 | | | | | | | | | | | | | | | | | | |
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (505), (11459) imply:
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | (11460) all_61_14 = e3
% 174.62/26.72 | | | | | | | | | | | | | | | | | | |
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | REDUCE: (11432), (11460) imply:
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | (11461) $false
% 174.62/26.72 | | | | | | | | | | | | | | | | | | |
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | CLOSE: (11461) is inconsistent.
% 174.62/26.72 | | | | | | | | | | | | | | | | | | |
% 174.62/26.72 | | | | | | | | | | | | | | | | | | Case 2:
% 174.62/26.72 | | | | | | | | | | | | | | | | | | |
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | (11462) all_63_11 = e2 | all_63_11 = e1 | all_63_11 = e0
% 174.62/26.72 | | | | | | | | | | | | | | | | | | |
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | BETA: splitting (11462) gives:
% 174.62/26.72 | | | | | | | | | | | | | | | | | | |
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | Case 1:
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | |
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | (11463) all_63_11 = e2
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | |
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (505), (11463) imply:
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | (11464) all_61_14 = e2
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | |
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | REDUCE: (5776), (11464) imply:
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | (11465) $false
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | |
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | CLOSE: (11465) is inconsistent.
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | |
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | Case 2:
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | |
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | (11466) all_63_11 = e1 | all_63_11 = e0
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | |
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | BETA: splitting (263) gives:
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | |
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | (11467) all_63_8 = e3
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10934), (11467) imply:
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | (11468) all_61_8 = e3
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | REDUCE: (11458), (11468) imply:
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | (11469) $false
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | CLOSE: (11469) is inconsistent.
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | (11470) all_63_8 = e2 | all_63_8 = e1 | all_63_8 = e0
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11470) gives:
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | (11471) all_63_8 = e2
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10934), (11471) imply:
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | (11472) all_61_8 = e2
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5773), (11472) imply:
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | (11473) $false
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (11473) is inconsistent.
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | (11474) all_63_8 = e1 | all_63_8 = e0
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11474) gives:
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.62/26.72 | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.73 | | | | | | | | | | | | | | | | | | | | | | | (11475) all_63_8 = e1
% 174.62/26.73 | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.73 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10934), (11475) imply:
% 174.62/26.73 | | | | | | | | | | | | | | | | | | | | | | | (11476) all_61_8 = e1
% 174.62/26.73 | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.73 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10937), (11476) imply:
% 174.62/26.73 | | | | | | | | | | | | | | | | | | | | | | | (11477) ~ (all_61_14 = e1)
% 174.62/26.73 | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.73 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11477) implies:
% 174.62/26.73 | | | | | | | | | | | | | | | | | | | | | | | (11478) ~ (all_61_14 = e1)
% 174.62/26.73 | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.73 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (505), (11454), (11466), (11478) are inconsistent
% 174.62/26.73 | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #522.
% 174.62/26.73 | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.73 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.62/26.73 | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.73 | | | | | | | | | | | | | | | | | | | | | | | (11479) all_63_8 = e0
% 174.62/26.73 | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.73 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10934), (11479) imply:
% 174.62/26.73 | | | | | | | | | | | | | | | | | | | | | | | (11480) all_61_8 = e0
% 174.62/26.73 | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.73 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11453), (11480) imply:
% 174.62/26.73 | | | | | | | | | | | | | | | | | | | | | | | (11481) $false
% 174.62/26.73 | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.73 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (11481) is inconsistent.
% 174.62/26.73 | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.73 | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.62/26.73 | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.73 | | | | | | | | | | | | | | | | | | | | | End of split
% 174.62/26.73 | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.73 | | | | | | | | | | | | | | | | | | | | End of split
% 174.62/26.73 | | | | | | | | | | | | | | | | | | | |
% 174.62/26.73 | | | | | | | | | | | | | | | | | | | End of split
% 174.62/26.73 | | | | | | | | | | | | | | | | | | |
% 174.62/26.73 | | | | | | | | | | | | | | | | | | End of split
% 174.62/26.73 | | | | | | | | | | | | | | | | | |
% 174.62/26.73 | | | | | | | | | | | | | | | | | Case 2:
% 174.62/26.73 | | | | | | | | | | | | | | | | | |
% 174.62/26.73 | | | | | | | | | | | | | | | | | | (11482) all_63_4 = e2 | all_63_4 = e1 | all_63_4 = e0
% 174.62/26.73 | | | | | | | | | | | | | | | | | |
% 174.62/26.73 | | | | | | | | | | | | | | | | | | REF_CLOSE: (10896), (10909), (10910), (11455), (11482) are
% 174.62/26.73 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #354.
% 174.62/26.73 | | | | | | | | | | | | | | | | | |
% 174.62/26.73 | | | | | | | | | | | | | | | | | End of split
% 174.62/26.73 | | | | | | | | | | | | | | | | |
% 174.62/26.73 | | | | | | | | | | | | | | | | End of split
% 174.62/26.73 | | | | | | | | | | | | | | | |
% 174.62/26.73 | | | | | | | | | | | | | | | End of split
% 174.62/26.73 | | | | | | | | | | | | | | |
% 174.62/26.73 | | | | | | | | | | | | | | End of split
% 174.62/26.73 | | | | | | | | | | | | | |
% 174.62/26.73 | | | | | | | | | | | | | End of split
% 174.62/26.73 | | | | | | | | | | | | |
% 174.62/26.73 | | | | | | | | | | | | End of split
% 174.62/26.73 | | | | | | | | | | | |
% 174.62/26.73 | | | | | | | | | | | Case 2:
% 174.62/26.73 | | | | | | | | | | | |
% 174.62/26.73 | | | | | | | | | | | | (11483) all_20_2 = e2
% 174.62/26.73 | | | | | | | | | | | | (11484) op(e0, e2) = all_20_1 & $i(all_20_1) & ( ~
% 174.62/26.73 | | | | | | | | | | | | (all_20_1 = e1) | ( ~ (all_20_0 = e3) & op(e1,
% 174.62/26.73 | | | | | | | | | | | | e0) = all_20_0 & $i(all_20_0)))
% 174.62/26.73 | | | | | | | | | | | |
% 174.62/26.73 | | | | | | | | | | | | ALPHA: (11484) implies:
% 174.62/26.73 | | | | | | | | | | | | (11485) op(e0, e2) = all_20_1
% 174.62/26.73 | | | | | | | | | | | |
% 174.62/26.73 | | | | | | | | | | | | COMBINE_EQS: (581), (11483) imply:
% 174.62/26.73 | | | | | | | | | | | | (11486) all_46_2 = e2
% 174.62/26.73 | | | | | | | | | | | |
% 174.62/26.73 | | | | | | | | | | | | REDUCE: (626), (11483) imply:
% 174.62/26.73 | | | | | | | | | | | | (11487) ~ (all_61_13 = e2)
% 174.62/26.73 | | | | | | | | | | | |
% 174.62/26.73 | | | | | | | | | | | | REDUCE: (695), (11483) imply:
% 174.62/26.73 | | | | | | | | | | | | (11488) op(e2, e2) = all_65_75
% 174.62/26.73 | | | | | | | | | | | |
% 174.62/26.73 | | | | | | | | | | | | REDUCE: (697), (11483) imply:
% 174.62/26.73 | | | | | | | | | | | | (11489) op(e2, e0) = all_65_78
% 174.62/26.73 | | | | | | | | | | | |
% 174.62/26.73 | | | | | | | | | | | | REDUCE: (713), (11483) imply:
% 174.62/26.73 | | | | | | | | | | | | (11490) op(e3, e2) = all_65_15
% 174.62/26.73 | | | | | | | | | | | |
% 174.62/26.73 | | | | | | | | | | | | REDUCE: (730), (11483) imply:
% 174.62/26.73 | | | | | | | | | | | | (11491) op(e2, e2) = all_65_31
% 174.62/26.73 | | | | | | | | | | | |
% 174.62/26.73 | | | | | | | | | | | | REDUCE: (764), (11483) imply:
% 174.62/26.73 | | | | | | | | | | | | (11492) op(e0, e2) = all_65_78
% 174.62/26.73 | | | | | | | | | | | |
% 174.62/26.73 | | | | | | | | | | | | REDUCE: (76), (11483) imply:
% 174.62/26.73 | | | | | | | | | | | | (11493) op(e0, e0) = e2
% 174.62/26.73 | | | | | | | | | | | |
% 174.62/26.73 | | | | | | | | | | | | BETA: splitting (116) gives:
% 174.62/26.73 | | | | | | | | | | | |
% 174.62/26.73 | | | | | | | | | | | | Case 1:
% 174.62/26.73 | | | | | | | | | | | | |
% 174.62/26.73 | | | | | | | | | | | | | (11494) ~ (all_46_2 = e2)
% 174.62/26.73 | | | | | | | | | | | | |
% 174.62/26.73 | | | | | | | | | | | | | REDUCE: (11486), (11494) imply:
% 174.62/26.73 | | | | | | | | | | | | | (11495) $false
% 174.62/26.73 | | | | | | | | | | | | |
% 174.62/26.73 | | | | | | | | | | | | | CLOSE: (11495) is inconsistent.
% 174.62/26.73 | | | | | | | | | | | | |
% 174.62/26.73 | | | | | | | | | | | | Case 2:
% 174.62/26.73 | | | | | | | | | | | | |
% 174.62/26.73 | | | | | | | | | | | | | (11496) op(e0, e2) = all_46_1 & $i(all_46_1) & ( ~
% 174.62/26.73 | | | | | | | | | | | | | (all_46_1 = e3) | ( ~ (all_46_0 = e1) & op(e3,
% 174.62/26.73 | | | | | | | | | | | | | e0) = all_46_0 & $i(all_46_0)))
% 174.62/26.73 | | | | | | | | | | | | |
% 174.62/26.73 | | | | | | | | | | | | | ALPHA: (11496) implies:
% 174.62/26.73 | | | | | | | | | | | | | (11497) op(e0, e2) = all_46_1
% 174.62/26.73 | | | | | | | | | | | | |
% 174.62/26.73 | | | | | | | | | | | | | BETA: splitting (172) gives:
% 174.62/26.73 | | | | | | | | | | | | |
% 174.62/26.73 | | | | | | | | | | | | | Case 1:
% 174.62/26.73 | | | | | | | | | | | | | |
% 174.62/26.73 | | | | | | | | | | | | | | (11498) ( ~ (all_60_0 = e2) & op(e3, e3) = all_60_0 &
% 174.62/26.73 | | | | | | | | | | | | | | $i(all_60_0)) | ( ~ (all_60_1 = e2) & op(e2, e2)
% 174.62/26.73 | | | | | | | | | | | | | | = all_60_1 & $i(all_60_1))
% 174.62/26.73 | | | | | | | | | | | | | |
% 174.62/26.73 | | | | | | | | | | | | | | BETA: splitting (11498) gives:
% 174.62/26.73 | | | | | | | | | | | | | |
% 174.62/26.73 | | | | | | | | | | | | | | Case 1:
% 174.62/26.73 | | | | | | | | | | | | | | |
% 174.62/26.73 | | | | | | | | | | | | | | | (11499) ~ (all_60_0 = e2) & op(e3, e3) = all_60_0 &
% 174.62/26.73 | | | | | | | | | | | | | | | $i(all_60_0)
% 174.62/26.73 | | | | | | | | | | | | | | |
% 174.62/26.73 | | | | | | | | | | | | | | | ALPHA: (11499) implies:
% 174.62/26.73 | | | | | | | | | | | | | | | (11500) ~ (all_60_0 = e2)
% 174.62/26.73 | | | | | | | | | | | | | | | (11501) op(e3, e3) = all_60_0
% 174.62/26.73 | | | | | | | | | | | | | | |
% 174.62/26.73 | | | | | | | | | | | | | | | REF_CLOSE: (50), (10870), (11500), (11501) are inconsistent
% 174.62/26.73 | | | | | | | | | | | | | | | by sub-proof #346.
% 174.62/26.73 | | | | | | | | | | | | | | |
% 174.62/26.73 | | | | | | | | | | | | | | Case 2:
% 174.62/26.73 | | | | | | | | | | | | | | |
% 174.62/26.73 | | | | | | | | | | | | | | | (11502) ~ (all_60_1 = e2) & op(e2, e2) = all_60_1 &
% 174.62/26.73 | | | | | | | | | | | | | | | $i(all_60_1)
% 174.62/26.73 | | | | | | | | | | | | | | |
% 174.62/26.73 | | | | | | | | | | | | | | | ALPHA: (11502) implies:
% 174.62/26.73 | | | | | | | | | | | | | | | (11503) ~ (all_60_1 = e2)
% 174.62/26.73 | | | | | | | | | | | | | | | (11504) op(e2, e2) = all_60_1
% 174.62/26.73 | | | | | | | | | | | | | | |
% 174.62/26.73 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_7, all_20_1, e2,
% 174.62/26.73 | | | | | | | | | | | | | | | e0, simplifying with (225), (11485) gives:
% 174.62/26.73 | | | | | | | | | | | | | | | (11505) all_61_7 = all_20_1
% 174.62/26.73 | | | | | | | | | | | | | | |
% 174.62/26.73 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_7, all_65_78, e2,
% 174.62/26.73 | | | | | | | | | | | | | | | e0, simplifying with (225), (11492) gives:
% 174.62/26.73 | | | | | | | | | | | | | | | (11506) all_65_78 = all_61_7
% 174.62/26.73 | | | | | | | | | | | | | | |
% 174.62/26.73 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_46_1, all_65_78, e2,
% 174.62/26.73 | | | | | | | | | | | | | | | e0, simplifying with (11492), (11497) gives:
% 174.62/26.73 | | | | | | | | | | | | | | | (11507) all_65_78 = all_46_1
% 174.62/26.73 | | | | | | | | | | | | | | |
% 174.62/26.73 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_13, all_65_78, e0,
% 174.62/26.73 | | | | | | | | | | | | | | | e2, simplifying with (231), (11489) gives:
% 174.62/26.73 | | | | | | | | | | | | | | | (11508) all_65_78 = all_61_13
% 174.62/26.73 | | | | | | | | | | | | | | |
% 174.62/26.73 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e1, all_65_75, e2, e2,
% 174.62/26.73 | | | | | | | | | | | | | | | simplifying with (9698), (11488) gives:
% 174.62/26.73 | | | | | | | | | | | | | | | (11509) all_65_75 = e1
% 174.62/26.73 | | | | | | | | | | | | | | |
% 174.62/26.73 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_75, all_65_31, e2,
% 174.62/26.73 | | | | | | | | | | | | | | | e2, simplifying with (11488), (11491) gives:
% 174.62/26.73 | | | | | | | | | | | | | | | (11510) all_65_31 = all_65_75
% 174.62/26.73 | | | | | | | | | | | | | | |
% 174.62/26.73 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_60_1, all_65_31, e2,
% 174.62/26.73 | | | | | | | | | | | | | | | e2, simplifying with (11491), (11504) gives:
% 174.62/26.73 | | | | | | | | | | | | | | | (11511) all_65_31 = all_60_1
% 174.62/26.73 | | | | | | | | | | | | | | |
% 174.62/26.73 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_14_1, all_65_15, e2,
% 174.62/26.73 | | | | | | | | | | | | | | | e3, simplifying with (10860), (11490) gives:
% 174.62/26.73 | | | | | | | | | | | | | | | (11512) all_65_15 = all_14_1
% 174.62/26.73 | | | | | | | | | | | | | | |
% 174.62/26.73 | | | | | | | | | | | | | | | COMBINE_EQS: (11510), (11511) imply:
% 174.62/26.73 | | | | | | | | | | | | | | | (11513) all_65_75 = all_60_1
% 174.62/26.73 | | | | | | | | | | | | | | |
% 174.62/26.73 | | | | | | | | | | | | | | | SIMP: (11513) implies:
% 174.62/26.73 | | | | | | | | | | | | | | | (11514) all_65_75 = all_60_1
% 174.62/26.73 | | | | | | | | | | | | | | |
% 174.62/26.73 | | | | | | | | | | | | | | | COMBINE_EQS: (11509), (11514) imply:
% 174.62/26.73 | | | | | | | | | | | | | | | (11515) all_60_1 = e1
% 174.62/26.73 | | | | | | | | | | | | | | |
% 174.62/26.73 | | | | | | | | | | | | | | | COMBINE_EQS: (11507), (11508) imply:
% 174.62/26.73 | | | | | | | | | | | | | | | (11516) all_61_13 = all_46_1
% 174.62/26.73 | | | | | | | | | | | | | | |
% 174.62/26.73 | | | | | | | | | | | | | | | SIMP: (11516) implies:
% 174.62/26.73 | | | | | | | | | | | | | | | (11517) all_61_13 = all_46_1
% 174.62/26.73 | | | | | | | | | | | | | | |
% 174.62/26.73 | | | | | | | | | | | | | | | COMBINE_EQS: (11506), (11507) imply:
% 174.62/26.73 | | | | | | | | | | | | | | | (11518) all_61_7 = all_46_1
% 174.62/26.73 | | | | | | | | | | | | | | |
% 174.62/26.73 | | | | | | | | | | | | | | | SIMP: (11518) implies:
% 174.62/26.73 | | | | | | | | | | | | | | | (11519) all_61_7 = all_46_1
% 174.62/26.73 | | | | | | | | | | | | | | |
% 174.62/26.73 | | | | | | | | | | | | | | | COMBINE_EQS: (11505), (11519) imply:
% 174.62/26.73 | | | | | | | | | | | | | | | (11520) all_46_1 = all_20_1
% 174.62/26.73 | | | | | | | | | | | | | | |
% 174.62/26.73 | | | | | | | | | | | | | | | COMBINE_EQS: (11517), (11520) imply:
% 174.62/26.73 | | | | | | | | | | | | | | | (11521) all_61_13 = all_20_1
% 174.62/26.73 | | | | | | | | | | | | | | |
% 174.62/26.73 | | | | | | | | | | | | | | | COMBINE_EQS: (508), (11505) imply:
% 174.62/26.73 | | | | | | | | | | | | | | | (11522) all_63_13 = all_20_1
% 174.62/26.73 | | | | | | | | | | | | | | |
% 174.62/26.73 | | | | | | | | | | | | | | | COMBINE_EQS: (498), (11521) imply:
% 174.62/26.73 | | | | | | | | | | | | | | | (11523) all_63_7 = all_20_1
% 174.62/26.73 | | | | | | | | | | | | | | |
% 174.62/26.73 | | | | | | | | | | | | | | | REDUCE: (10903), (11521) imply:
% 174.62/26.73 | | | | | | | | | | | | | | | (11524) ~ (all_20_1 = all_14_1)
% 174.62/26.73 | | | | | | | | | | | | | | |
% 174.62/26.73 | | | | | | | | | | | | | | | REDUCE: (5821), (11521) imply:
% 174.62/26.73 | | | | | | | | | | | | | | | (11525) ~ (all_20_1 = all_10_1)
% 174.62/26.73 | | | | | | | | | | | | | | |
% 174.62/26.73 | | | | | | | | | | | | | | | REDUCE: (11487), (11521) imply:
% 174.62/26.73 | | | | | | | | | | | | | | | (11526) ~ (all_20_1 = e2)
% 174.62/26.73 | | | | | | | | | | | | | | |
% 174.62/26.73 | | | | | | | | | | | | | | | REDUCE: (9690), (11521) imply:
% 174.62/26.73 | | | | | | | | | | | | | | | (11527) ~ (all_20_1 = e1)
% 174.62/26.73 | | | | | | | | | | | | | | |
% 174.62/26.73 | | | | | | | | | | | | | | | REDUCE: (11503), (11515) imply:
% 174.62/26.73 | | | | | | | | | | | | | | | (11528) ~ (e2 = e1)
% 174.62/26.73 | | | | | | | | | | | | | | |
% 174.62/26.73 | | | | | | | | | | | | | | | REDUCE: (10915), (11505) imply:
% 174.62/26.73 | | | | | | | | | | | | | | | (11529) op(all_61_3, e3) = all_20_1
% 174.62/26.73 | | | | | | | | | | | | | | |
% 174.62/26.73 | | | | | | | | | | | | | | | REDUCE: (9720), (11505) imply:
% 174.62/26.73 | | | | | | | | | | | | | | | (11530) op(all_20_1, e2) = all_61_11
% 174.62/26.73 | | | | | | | | | | | | | | |
% 174.62/26.73 | | | | | | | | | | | | | | | REDUCE: (649), (11512) imply:
% 174.62/26.73 | | | | | | | | | | | | | | | (11531) op(all_61_12, e0) = all_14_1
% 174.62/26.73 | | | | | | | | | | | | | | |
% 174.62/26.73 | | | | | | | | | | | | | | | REDUCE: (663), (11521) imply:
% 174.62/26.73 | | | | | | | | | | | | | | | (11532) op(all_20_1, e2) = all_65_29
% 174.62/26.73 | | | | | | | | | | | | | | |
% 174.62/26.73 | | | | | | | | | | | | | | | REDUCE: (728), (11505) imply:
% 174.62/26.73 | | | | | | | | | | | | | | | (11533) op(e2, all_20_1) = all_65_29
% 174.62/26.73 | | | | | | | | | | | | | | |
% 174.62/26.73 | | | | | | | | | | | | | | | REDUCE: (9723), (11521) imply:
% 174.62/26.73 | | | | | | | | | | | | | | | (11534) op(e2, all_20_1) = all_61_14
% 174.62/26.73 | | | | | | | | | | | | | | |
% 174.62/26.73 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_14, all_65_29,
% 174.62/26.73 | | | | | | | | | | | | | | | all_20_1, e2, simplifying with (11533), (11534)
% 174.62/26.73 | | | | | | | | | | | | | | | gives:
% 174.62/26.73 | | | | | | | | | | | | | | | (11535) all_65_29 = all_61_14
% 174.62/26.73 | | | | | | | | | | | | | | |
% 174.62/26.73 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_11, all_65_29, e2,
% 174.62/26.73 | | | | | | | | | | | | | | | all_20_1, simplifying with (11530), (11532) gives:
% 174.62/26.73 | | | | | | | | | | | | | | | (11536) all_65_29 = all_61_11
% 174.62/26.73 | | | | | | | | | | | | | | |
% 174.62/26.73 | | | | | | | | | | | | | | | COMBINE_EQS: (11535), (11536) imply:
% 174.62/26.73 | | | | | | | | | | | | | | | (11537) all_61_11 = all_61_14
% 174.62/26.73 | | | | | | | | | | | | | | |
% 174.62/26.73 | | | | | | | | | | | | | | | BETA: splitting (163) gives:
% 174.62/26.73 | | | | | | | | | | | | | | |
% 174.62/26.73 | | | | | | | | | | | | | | | Case 1:
% 174.62/26.73 | | | | | | | | | | | | | | | |
% 174.62/26.73 | | | | | | | | | | | | | | | | (11538) ~ (all_58_1 = e0)
% 174.62/26.73 | | | | | | | | | | | | | | | |
% 174.62/26.73 | | | | | | | | | | | | | | | | REDUCE: (481), (11538) imply:
% 174.62/26.73 | | | | | | | | | | | | | | | | (11539) ~ (all_52_1 = e0)
% 174.62/26.73 | | | | | | | | | | | | | | | |
% 174.62/26.73 | | | | | | | | | | | | | | | | BETA: splitting (159) gives:
% 174.62/26.73 | | | | | | | | | | | | | | | |
% 174.62/26.73 | | | | | | | | | | | | | | | | Case 1:
% 174.62/26.73 | | | | | | | | | | | | | | | | |
% 174.62/26.73 | | | | | | | | | | | | | | | | | (11540) ~ (all_58_3 = e3)
% 174.62/26.73 | | | | | | | | | | | | | | | | |
% 174.62/26.73 | | | | | | | | | | | | | | | | | REDUCE: (475), (11540) imply:
% 174.62/26.73 | | | | | | | | | | | | | | | | | (11541) ~ (all_52_3 = e3)
% 174.62/26.73 | | | | | | | | | | | | | | | | |
% 174.62/26.73 | | | | | | | | | | | | | | | | | BETA: splitting (166) gives:
% 174.62/26.73 | | | | | | | | | | | | | | | | |
% 174.62/26.73 | | | | | | | | | | | | | | | | | Case 1:
% 174.62/26.73 | | | | | | | | | | | | | | | | | |
% 174.62/26.73 | | | | | | | | | | | | | | | | | | (11542) ~ (all_58_0 = e0)
% 174.62/26.73 | | | | | | | | | | | | | | | | | |
% 174.62/26.73 | | | | | | | | | | | | | | | | | | REDUCE: (484), (11542) imply:
% 174.62/26.73 | | | | | | | | | | | | | | | | | | (11543) ~ (all_52_0 = e0)
% 174.62/26.73 | | | | | | | | | | | | | | | | | |
% 174.62/26.73 | | | | | | | | | | | | | | | | | | BETA: splitting (165) gives:
% 174.62/26.73 | | | | | | | | | | | | | | | | | |
% 174.62/26.73 | | | | | | | | | | | | | | | | | | Case 1:
% 174.62/26.73 | | | | | | | | | | | | | | | | | | |
% 174.62/26.73 | | | | | | | | | | | | | | | | | | | (11544) ~ (all_58_1 = e3)
% 174.62/26.73 | | | | | | | | | | | | | | | | | | |
% 174.62/26.73 | | | | | | | | | | | | | | | | | | | REDUCE: (481), (11544) imply:
% 174.62/26.73 | | | | | | | | | | | | | | | | | | | (11545) ~ (all_52_1 = e3)
% 174.62/26.73 | | | | | | | | | | | | | | | | | | |
% 174.62/26.73 | | | | | | | | | | | | | | | | | | | BETA: splitting (168) gives:
% 174.62/26.73 | | | | | | | | | | | | | | | | | | |
% 174.62/26.73 | | | | | | | | | | | | | | | | | | | Case 1:
% 174.62/26.73 | | | | | | | | | | | | | | | | | | | |
% 174.62/26.73 | | | | | | | | | | | | | | | | | | | | (11546) ~ (all_58_0 = e2)
% 174.62/26.73 | | | | | | | | | | | | | | | | | | | |
% 174.62/26.73 | | | | | | | | | | | | | | | | | | | | REDUCE: (484), (11546) imply:
% 174.62/26.73 | | | | | | | | | | | | | | | | | | | | (11547) ~ (all_52_0 = e2)
% 174.62/26.73 | | | | | | | | | | | | | | | | | | | |
% 174.62/26.73 | | | | | | | | | | | | | | | | | | | | BETA: splitting (167) gives:
% 174.62/26.73 | | | | | | | | | | | | | | | | | | | |
% 174.62/26.73 | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.62/26.73 | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.73 | | | | | | | | | | | | | | | | | | | | | (11548) ~ (all_58_0 = e1)
% 174.62/26.73 | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.73 | | | | | | | | | | | | | | | | | | | | | REDUCE: (484), (11548) imply:
% 174.62/26.73 | | | | | | | | | | | | | | | | | | | | | (11549) ~ (all_52_0 = e1)
% 174.62/26.73 | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.73 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (20), (50), (151), (534), (714), (9698),
% 174.62/26.73 | | | | | | | | | | | | | | | | | | | | | (10870), (11543), (11547), (11549) are
% 174.62/26.73 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #305.
% 174.62/26.73 | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.73 | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.62/26.73 | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.73 | | | | | | | | | | | | | | | | | | | | | (11550) all_58_2 = e3
% 174.62/26.73 | | | | | | | | | | | | | | | | | | | | | (11551) all_58_0 = e1
% 174.62/26.73 | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.73 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (50), (148), (150), (478), (484), (536), (539),
% 174.62/26.73 | | | | | | | | | | | | | | | | | | | | | (628), (630), (631), (632), (633), (731), (765),
% 174.62/26.73 | | | | | | | | | | | | | | | | | | | | | (9698), (11493), (11539), (11550), (11551) are
% 174.62/26.73 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #307.
% 174.62/26.73 | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.73 | | | | | | | | | | | | | | | | | | | | End of split
% 174.62/26.73 | | | | | | | | | | | | | | | | | | | |
% 174.62/26.73 | | | | | | | | | | | | | | | | | | | Case 2:
% 174.62/26.73 | | | | | | | | | | | | | | | | | | | |
% 174.62/26.73 | | | | | | | | | | | | | | | | | | | | (11552) all_58_1 = e3
% 174.62/26.73 | | | | | | | | | | | | | | | | | | | |
% 174.62/26.73 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (481), (11545), (11552) are inconsistent by
% 174.62/26.73 | | | | | | | | | | | | | | | | | | | | sub-proof #511.
% 174.62/26.73 | | | | | | | | | | | | | | | | | | | |
% 174.62/26.73 | | | | | | | | | | | | | | | | | | | End of split
% 174.62/26.73 | | | | | | | | | | | | | | | | | | |
% 174.62/26.73 | | | | | | | | | | | | | | | | | | Case 2:
% 174.62/26.73 | | | | | | | | | | | | | | | | | | |
% 174.62/26.73 | | | | | | | | | | | | | | | | | | | (11553) all_58_0 = e2
% 174.62/26.73 | | | | | | | | | | | | | | | | | | |
% 174.62/26.73 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (484), (11553) imply:
% 174.62/26.73 | | | | | | | | | | | | | | | | | | | (11554) all_52_0 = e2
% 174.62/26.73 | | | | | | | | | | | | | | | | | | |
% 174.62/26.73 | | | | | | | | | | | | | | | | | | | SIMP: (11554) implies:
% 174.62/26.73 | | | | | | | | | | | | | | | | | | | (11555) all_52_0 = e2
% 174.62/26.73 | | | | | | | | | | | | | | | | | | |
% 174.62/26.73 | | | | | | | | | | | | | | | | | | | REDUCE: (714), (11555) imply:
% 174.62/26.73 | | | | | | | | | | | | | | | | | | | (11556) op(e3, e2) = unit
% 174.62/26.73 | | | | | | | | | | | | | | | | | | |
% 174.62/26.73 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_14_1, unit, e2, e3,
% 174.62/26.73 | | | | | | | | | | | | | | | | | | | simplifying with (10860), (11556) gives:
% 174.62/26.73 | | | | | | | | | | | | | | | | | | | (11557) all_14_1 = unit
% 174.62/26.73 | | | | | | | | | | | | | | | | | | |
% 174.62/26.73 | | | | | | | | | | | | | | | | | | | REDUCE: (11524), (11557) imply:
% 174.62/26.73 | | | | | | | | | | | | | | | | | | | (11558) ~ (all_20_1 = unit)
% 174.62/26.73 | | | | | | | | | | | | | | | | | | |
% 174.62/26.73 | | | | | | | | | | | | | | | | | | | REDUCE: (10908), (11557) imply:
% 174.62/26.73 | | | | | | | | | | | | | | | | | | | (11559) ~ (all_10_1 = unit)
% 174.62/26.73 | | | | | | | | | | | | | | | | | | |
% 174.62/26.73 | | | | | | | | | | | | | | | | | | | SIMP: (11559) implies:
% 174.62/26.73 | | | | | | | | | | | | | | | | | | | (11560) ~ (all_10_1 = unit)
% 174.62/26.73 | | | | | | | | | | | | | | | | | | |
% 174.62/26.73 | | | | | | | | | | | | | | | | | | | REDUCE: (10909), (11557) imply:
% 174.62/26.73 | | | | | | | | | | | | | | | | | | | (11561) ~ (unit = e2)
% 174.62/26.73 | | | | | | | | | | | | | | | | | | |
% 174.62/26.73 | | | | | | | | | | | | | | | | | | | REDUCE: (10910), (11557) imply:
% 174.62/26.73 | | | | | | | | | | | | | | | | | | | (11562) ~ (unit = e1)
% 174.62/26.73 | | | | | | | | | | | | | | | | | | |
% 174.62/26.73 | | | | | | | | | | | | | | | | | | | BETA: splitting (852) gives:
% 174.62/26.73 | | | | | | | | | | | | | | | | | | |
% 174.62/26.73 | | | | | | | | | | | | | | | | | | | Case 1:
% 174.62/26.73 | | | | | | | | | | | | | | | | | | | |
% 174.62/26.73 | | | | | | | | | | | | | | | | | | | | (11563) unit = e2
% 174.62/26.73 | | | | | | | | | | | | | | | | | | | |
% 174.62/26.73 | | | | | | | | | | | | | | | | | | | | REDUCE: (11561), (11563) imply:
% 174.62/26.73 | | | | | | | | | | | | | | | | | | | | (11564) $false
% 174.62/26.73 | | | | | | | | | | | | | | | | | | | |
% 174.62/26.73 | | | | | | | | | | | | | | | | | | | | CLOSE: (11564) is inconsistent.
% 174.62/26.73 | | | | | | | | | | | | | | | | | | | |
% 174.62/26.73 | | | | | | | | | | | | | | | | | | | Case 2:
% 174.62/26.73 | | | | | | | | | | | | | | | | | | | |
% 174.62/26.73 | | | | | | | | | | | | | | | | | | | | (11565) unit = e1 | unit = e0
% 174.62/26.73 | | | | | | | | | | | | | | | | | | | |
% 174.62/26.73 | | | | | | | | | | | | | | | | | | | | BETA: splitting (11565) gives:
% 174.62/26.73 | | | | | | | | | | | | | | | | | | | |
% 174.62/26.73 | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.62/26.73 | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.73 | | | | | | | | | | | | | | | | | | | | | (11566) unit = e1
% 174.62/26.73 | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.73 | | | | | | | | | | | | | | | | | | | | | REDUCE: (11562), (11566) imply:
% 174.62/26.73 | | | | | | | | | | | | | | | | | | | | | (11567) $false
% 174.62/26.73 | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.73 | | | | | | | | | | | | | | | | | | | | | CLOSE: (11567) is inconsistent.
% 174.62/26.73 | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.73 | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.62/26.73 | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.73 | | | | | | | | | | | | | | | | | | | | | (11568) unit = e0
% 174.62/26.73 | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.73 | | | | | | | | | | | | | | | | | | | | | REDUCE: (11558), (11568) imply:
% 174.62/26.73 | | | | | | | | | | | | | | | | | | | | | (11569) ~ (all_20_1 = e0)
% 174.62/26.73 | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.73 | | | | | | | | | | | | | | | | | | | | | REDUCE: (11560), (11568) imply:
% 174.62/26.73 | | | | | | | | | | | | | | | | | | | | | (11570) ~ (all_10_1 = e0)
% 174.62/26.73 | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.73 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (264) gives:
% 174.62/26.73 | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.73 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.62/26.73 | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.73 | | | | | | | | | | | | | | | | | | | | | | (11571) all_63_7 = e3
% 174.62/26.73 | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.73 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11523), (11571) imply:
% 174.62/26.73 | | | | | | | | | | | | | | | | | | | | | | (11572) all_20_1 = e3
% 174.62/26.73 | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.73 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11525), (11572) imply:
% 174.62/26.73 | | | | | | | | | | | | | | | | | | | | | | (11573) ~ (all_10_1 = e3)
% 174.62/26.73 | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.73 | | | | | | | | | | | | | | | | | | | | | | SIMP: (11573) implies:
% 174.62/26.73 | | | | | | | | | | | | | | | | | | | | | | (11574) ~ (all_10_1 = e3)
% 174.62/26.73 | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.73 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (265), (5809), (5823), (9691), (11570), (11574)
% 174.62/26.73 | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #287.
% 174.62/26.73 | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.73 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.62/26.73 | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.73 | | | | | | | | | | | | | | | | | | | | | | (11575) ~ (all_63_7 = e3)
% 174.62/26.73 | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.73 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11523), (11575) imply:
% 174.62/26.73 | | | | | | | | | | | | | | | | | | | | | | (11576) ~ (all_20_1 = e3)
% 174.62/26.73 | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.73 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (258), (11522), (11526), (11527), (11569), (11576)
% 174.62/26.73 | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #379.
% 174.62/26.73 | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.73 | | | | | | | | | | | | | | | | | | | | | End of split
% 174.62/26.73 | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.73 | | | | | | | | | | | | | | | | | | | | End of split
% 174.62/26.73 | | | | | | | | | | | | | | | | | | | |
% 174.62/26.73 | | | | | | | | | | | | | | | | | | | End of split
% 174.62/26.73 | | | | | | | | | | | | | | | | | | |
% 174.62/26.73 | | | | | | | | | | | | | | | | | | End of split
% 174.62/26.73 | | | | | | | | | | | | | | | | | |
% 174.62/26.73 | | | | | | | | | | | | | | | | | Case 2:
% 174.62/26.73 | | | | | | | | | | | | | | | | | |
% 174.62/26.73 | | | | | | | | | | | | | | | | | | (11577) all_58_3 = e3
% 174.62/26.73 | | | | | | | | | | | | | | | | | |
% 174.62/26.73 | | | | | | | | | | | | | | | | | | REF_CLOSE: (475), (11541), (11577) are inconsistent by
% 174.62/26.73 | | | | | | | | | | | | | | | | | | sub-proof #509.
% 174.62/26.73 | | | | | | | | | | | | | | | | | |
% 174.62/26.73 | | | | | | | | | | | | | | | | | End of split
% 174.62/26.73 | | | | | | | | | | | | | | | | |
% 174.62/26.73 | | | | | | | | | | | | | | | | Case 2:
% 174.62/26.73 | | | | | | | | | | | | | | | | |
% 174.62/26.73 | | | | | | | | | | | | | | | | | (11578) all_58_3 = e3
% 174.62/26.73 | | | | | | | | | | | | | | | | | (11579) all_58_0 = e0
% 174.62/26.73 | | | | | | | | | | | | | | | | |
% 174.62/26.73 | | | | | | | | | | | | | | | | | COMBINE_EQS: (484), (11579) imply:
% 174.62/26.73 | | | | | | | | | | | | | | | | | (11580) all_52_0 = e0
% 174.62/26.73 | | | | | | | | | | | | | | | | |
% 174.62/26.73 | | | | | | | | | | | | | | | | | SIMP: (11580) implies:
% 174.62/26.73 | | | | | | | | | | | | | | | | | (11581) all_52_0 = e0
% 174.62/26.73 | | | | | | | | | | | | | | | | |
% 174.62/26.73 | | | | | | | | | | | | | | | | | COMBINE_EQS: (475), (11578) imply:
% 174.62/26.73 | | | | | | | | | | | | | | | | | (11582) all_52_3 = e3
% 174.62/26.73 | | | | | | | | | | | | | | | | |
% 174.62/26.73 | | | | | | | | | | | | | | | | | REDUCE: (714), (11581) imply:
% 174.62/26.73 | | | | | | | | | | | | | | | | | (11583) op(e3, e0) = unit
% 174.62/26.73 | | | | | | | | | | | | | | | | |
% 174.62/26.73 | | | | | | | | | | | | | | | | | REDUCE: (765), (11582) imply:
% 174.62/26.73 | | | | | | | | | | | | | | | | | (11584) op(e0, e3) = unit
% 174.62/26.73 | | | | | | | | | | | | | | | | |
% 174.62/26.73 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_3, unit, e3, e0,
% 174.62/26.73 | | | | | | | | | | | | | | | | | simplifying with (226), (11584) gives:
% 174.62/26.73 | | | | | | | | | | | | | | | | | (11585) all_61_3 = unit
% 174.62/26.73 | | | | | | | | | | | | | | | | |
% 174.62/26.73 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_12, unit, e0, e3,
% 174.62/26.73 | | | | | | | | | | | | | | | | | simplifying with (235), (11583) gives:
% 174.62/26.73 | | | | | | | | | | | | | | | | | (11586) all_61_12 = unit
% 174.62/26.73 | | | | | | | | | | | | | | | | |
% 174.62/26.73 | | | | | | | | | | | | | | | | | REDUCE: (11529), (11585) imply:
% 174.62/26.73 | | | | | | | | | | | | | | | | | (11587) op(unit, e3) = all_20_1
% 174.62/26.73 | | | | | | | | | | | | | | | | |
% 174.62/26.73 | | | | | | | | | | | | | | | | | REDUCE: (685), (11585) imply:
% 174.62/26.73 | | | | | | | | | | | | | | | | | (11588) op(unit, e0) = all_65_55
% 174.62/26.73 | | | | | | | | | | | | | | | | |
% 174.62/26.73 | | | | | | | | | | | | | | | | | REDUCE: (646), (11586) imply:
% 174.62/26.73 | | | | | | | | | | | | | | | | | (11589) op(unit, e3) = all_65_12
% 174.62/26.73 | | | | | | | | | | | | | | | | |
% 174.62/26.73 | | | | | | | | | | | | | | | | | REDUCE: (11531), (11586) imply:
% 174.62/26.73 | | | | | | | | | | | | | | | | | (11590) op(unit, e0) = all_14_1
% 174.62/26.73 | | | | | | | | | | | | | | | | |
% 174.62/26.73 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e0, all_65_55, e0, unit,
% 174.62/26.73 | | | | | | | | | | | | | | | | | simplifying with (7), (11588) gives:
% 174.62/26.73 | | | | | | | | | | | | | | | | | (11591) all_65_55 = e0
% 174.62/26.73 | | | | | | | | | | | | | | | | |
% 174.62/26.73 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_14_1, all_65_55, e0,
% 174.62/26.73 | | | | | | | | | | | | | | | | | unit, simplifying with (11588), (11590) gives:
% 174.62/26.73 | | | | | | | | | | | | | | | | | (11592) all_65_55 = all_14_1
% 174.62/26.73 | | | | | | | | | | | | | | | | |
% 174.62/26.73 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e3, all_65_12, e3, unit,
% 174.62/26.73 | | | | | | | | | | | | | | | | | simplifying with (10), (11589) gives:
% 174.62/26.73 | | | | | | | | | | | | | | | | | (11593) all_65_12 = e3
% 174.62/26.73 | | | | | | | | | | | | | | | | |
% 174.62/26.73 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_20_1, all_65_12, e3,
% 174.62/26.73 | | | | | | | | | | | | | | | | | unit, simplifying with (11587), (11589) gives:
% 174.62/26.73 | | | | | | | | | | | | | | | | | (11594) all_65_12 = all_20_1
% 174.62/26.73 | | | | | | | | | | | | | | | | |
% 174.62/26.73 | | | | | | | | | | | | | | | | | COMBINE_EQS: (11593), (11594) imply:
% 174.62/26.73 | | | | | | | | | | | | | | | | | (11595) all_20_1 = e3
% 174.62/26.73 | | | | | | | | | | | | | | | | |
% 174.62/26.73 | | | | | | | | | | | | | | | | | COMBINE_EQS: (11591), (11592) imply:
% 174.62/26.73 | | | | | | | | | | | | | | | | | (11596) all_14_1 = e0
% 174.62/26.73 | | | | | | | | | | | | | | | | |
% 174.62/26.73 | | | | | | | | | | | | | | | | | REDUCE: (11525), (11595) imply:
% 174.62/26.73 | | | | | | | | | | | | | | | | | (11597) ~ (all_10_1 = e3)
% 174.62/26.73 | | | | | | | | | | | | | | | | |
% 174.62/26.73 | | | | | | | | | | | | | | | | | SIMP: (11597) implies:
% 174.62/26.73 | | | | | | | | | | | | | | | | | (11598) ~ (all_10_1 = e3)
% 174.62/26.73 | | | | | | | | | | | | | | | | |
% 174.62/26.73 | | | | | | | | | | | | | | | | | REDUCE: (10908), (11596) imply:
% 174.62/26.73 | | | | | | | | | | | | | | | | | (11599) ~ (all_10_1 = e0)
% 174.62/26.73 | | | | | | | | | | | | | | | | |
% 174.62/26.73 | | | | | | | | | | | | | | | | | SIMP: (11599) implies:
% 174.62/26.73 | | | | | | | | | | | | | | | | | (11600) ~ (all_10_1 = e0)
% 174.62/26.73 | | | | | | | | | | | | | | | | |
% 174.62/26.73 | | | | | | | | | | | | | | | | | REF_CLOSE: (265), (5809), (5823), (9691), (11598), (11600)
% 174.62/26.73 | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #287.
% 174.62/26.73 | | | | | | | | | | | | | | | | |
% 174.62/26.73 | | | | | | | | | | | | | | | | End of split
% 174.62/26.73 | | | | | | | | | | | | | | | |
% 174.62/26.73 | | | | | | | | | | | | | | | Case 2:
% 174.62/26.73 | | | | | | | | | | | | | | | |
% 174.62/26.73 | | | | | | | | | | | | | | | | (11601) all_58_3 = e2
% 174.62/26.73 | | | | | | | | | | | | | | | | (11602) all_58_1 = e0
% 174.62/26.73 | | | | | | | | | | | | | | | |
% 174.62/26.73 | | | | | | | | | | | | | | | | REF_CLOSE: (9), (50), (225), (231), (475), (481), (663),
% 174.62/26.73 | | | | | | | | | | | | | | | | (728), (731), (765), (5776), (9720), (9723),
% 174.62/26.73 | | | | | | | | | | | | | | | | (11601), (11602) are inconsistent by sub-proof
% 174.62/26.73 | | | | | | | | | | | | | | | | #208.
% 174.62/26.73 | | | | | | | | | | | | | | | |
% 174.62/26.73 | | | | | | | | | | | | | | | End of split
% 174.62/26.73 | | | | | | | | | | | | | | |
% 174.62/26.73 | | | | | | | | | | | | | | End of split
% 174.62/26.73 | | | | | | | | | | | | | |
% 174.62/26.73 | | | | | | | | | | | | | Case 2:
% 174.62/26.73 | | | | | | | | | | | | | |
% 174.62/26.73 | | | | | | | | | | | | | | (11603) ( ~ (all_60_2 = e2) & op(e1, e1) = all_60_2 &
% 174.62/26.73 | | | | | | | | | | | | | | $i(all_60_2)) | ( ~ (all_60_3 = e2) & op(e0, e0)
% 174.62/26.73 | | | | | | | | | | | | | | = all_60_3 & $i(all_60_3))
% 174.62/26.73 | | | | | | | | | | | | | |
% 174.62/26.73 | | | | | | | | | | | | | | REF_CLOSE: (50), (5784), (11493), (11603) are inconsistent by
% 174.62/26.73 | | | | | | | | | | | | | | sub-proof #246.
% 174.62/26.73 | | | | | | | | | | | | | |
% 174.62/26.73 | | | | | | | | | | | | | End of split
% 174.62/26.73 | | | | | | | | | | | | |
% 174.62/26.73 | | | | | | | | | | | | End of split
% 174.62/26.73 | | | | | | | | | | | |
% 174.62/26.73 | | | | | | | | | | | End of split
% 174.62/26.73 | | | | | | | | | | |
% 174.62/26.74 | | | | | | | | | | End of split
% 174.62/26.74 | | | | | | | | | |
% 174.62/26.74 | | | | | | | | | End of split
% 174.62/26.74 | | | | | | | | |
% 174.62/26.74 | | | | | | | | End of split
% 174.62/26.74 | | | | | | | |
% 174.62/26.74 | | | | | | | End of split
% 174.62/26.74 | | | | | | |
% 174.62/26.74 | | | | | | End of split
% 174.62/26.74 | | | | | |
% 174.62/26.74 | | | | | End of split
% 174.62/26.74 | | | | |
% 174.62/26.74 | | | | End of split
% 174.62/26.74 | | | |
% 174.62/26.74 | | | Case 2:
% 174.62/26.74 | | | |
% 174.62/26.74 | | | | (11604) all_8_2 = e0
% 174.62/26.74 | | | | (11605) op(e1, e0) = all_8_1 & $i(all_8_1) & ( ~ (all_8_1 = e3) | ( ~
% 174.62/26.74 | | | | (all_8_0 = e2) & op(e3, e1) = all_8_0 & $i(all_8_0)))
% 174.62/26.74 | | | |
% 174.62/26.74 | | | | ALPHA: (11605) implies:
% 174.62/26.74 | | | | (11606) op(e1, e0) = all_8_1
% 174.62/26.74 | | | | (11607) ~ (all_8_1 = e3) | ( ~ (all_8_0 = e2) & op(e3, e1) = all_8_0
% 174.62/26.74 | | | | & $i(all_8_0))
% 174.62/26.74 | | | |
% 174.62/26.74 | | | | COMBINE_EQS: (576), (11604) imply:
% 174.62/26.74 | | | | (11608) all_4_2 = e0
% 174.62/26.74 | | | |
% 174.62/26.74 | | | | COMBINE_EQS: (577), (11608) imply:
% 174.62/26.74 | | | | (11609) all_24_2 = e0
% 174.62/26.74 | | | |
% 174.62/26.74 | | | | REDUCE: (605), (11608) imply:
% 174.62/26.74 | | | | (11610) ~ (all_61_2 = e0)
% 174.62/26.74 | | | |
% 174.62/26.74 | | | | REDUCE: (616), (11608) imply:
% 174.62/26.74 | | | | (11611) ~ (all_61_6 = e0)
% 174.62/26.74 | | | |
% 174.62/26.74 | | | | REDUCE: (618), (11608) imply:
% 174.62/26.74 | | | | (11612) ~ (all_61_8 = e0)
% 174.62/26.74 | | | |
% 174.62/26.74 | | | | REDUCE: (619), (11608) imply:
% 174.62/26.74 | | | | (11613) ~ (all_61_9 = e0)
% 174.62/26.74 | | | |
% 174.62/26.74 | | | | REDUCE: (623), (11608) imply:
% 174.62/26.74 | | | | (11614) ~ (all_61_14 = e0)
% 174.62/26.74 | | | |
% 174.62/26.74 | | | | REDUCE: (674), (11608) imply:
% 174.62/26.74 | | | | (11615) op(e0, e3) = all_65_40
% 174.62/26.74 | | | |
% 174.62/26.74 | | | | REDUCE: (675), (11608) imply:
% 174.62/26.74 | | | | (11616) op(e0, e2) = all_65_41
% 174.62/26.74 | | | |
% 174.62/26.74 | | | | REDUCE: (676), (11608) imply:
% 174.62/26.74 | | | | (11617) op(e0, e1) = all_65_42
% 174.62/26.74 | | | |
% 174.62/26.74 | | | | REDUCE: (677), (11608) imply:
% 174.62/26.74 | | | | (11618) op(e0, e0) = all_65_43
% 174.62/26.74 | | | |
% 174.62/26.74 | | | | REDUCE: (708), (11608) imply:
% 174.62/26.74 | | | | (11619) op(e3, e0) = all_65_10
% 174.62/26.74 | | | |
% 174.62/26.74 | | | | REDUCE: (725), (11608) imply:
% 174.62/26.74 | | | | (11620) op(e2, e0) = all_65_26
% 174.62/26.74 | | | |
% 174.62/26.74 | | | | REDUCE: (742), (11608) imply:
% 174.62/26.74 | | | | (11621) op(e1, e0) = all_65_42
% 174.62/26.74 | | | |
% 174.62/26.74 | | | | REDUCE: (52), (11608) imply:
% 174.62/26.74 | | | | (11622) op(e1, e1) = e0
% 174.62/26.74 | | | |
% 174.62/26.74 | | | | REDUCE: (759), (11608) imply:
% 174.62/26.74 | | | | (11623) op(e0, e0) = all_65_69
% 174.62/26.74 | | | |
% 174.62/26.74 | | | | BETA: splitting (83) gives:
% 174.62/26.74 | | | |
% 174.62/26.74 | | | | Case 1:
% 174.62/26.74 | | | | |
% 174.62/26.74 | | | | | (11624) ~ (all_24_2 = e0)
% 174.62/26.74 | | | | |
% 174.62/26.74 | | | | | REDUCE: (11609), (11624) imply:
% 174.62/26.74 | | | | | (11625) $false
% 174.62/26.74 | | | | |
% 174.62/26.74 | | | | | CLOSE: (11625) is inconsistent.
% 174.62/26.74 | | | | |
% 174.62/26.74 | | | | Case 2:
% 174.62/26.74 | | | | |
% 174.62/26.74 | | | | | (11626) op(e1, e0) = all_24_1 & $i(all_24_1) & ( ~ (all_24_1 = e2)
% 174.62/26.74 | | | | | | ( ~ (all_24_0 = e3) & op(e2, e1) = all_24_0 &
% 174.62/26.74 | | | | | $i(all_24_0)))
% 174.62/26.74 | | | | |
% 174.62/26.74 | | | | | ALPHA: (11626) implies:
% 174.62/26.74 | | | | | (11627) op(e1, e0) = all_24_1
% 174.62/26.74 | | | | | (11628) ~ (all_24_1 = e2) | ( ~ (all_24_0 = e3) & op(e2, e1) =
% 174.62/26.74 | | | | | all_24_0 & $i(all_24_0))
% 174.62/26.74 | | | | |
% 174.62/26.74 | | | | | GROUND_INST: instantiating (50) with all_20_2, all_65_43, e0, e0,
% 174.62/26.74 | | | | | simplifying with (76), (11618) gives:
% 174.62/26.74 | | | | | (11629) all_65_43 = all_20_2
% 174.62/26.74 | | | | |
% 174.62/26.74 | | | | | GROUND_INST: instantiating (50) with all_65_69, all_65_43, e0, e0,
% 174.62/26.74 | | | | | simplifying with (11618), (11623) gives:
% 174.62/26.74 | | | | | (11630) all_65_43 = all_65_69
% 174.62/26.74 | | | | |
% 174.62/26.74 | | | | | GROUND_INST: instantiating (50) with all_61_11, all_65_42, e1, e0,
% 174.62/26.74 | | | | | simplifying with (224), (11617) gives:
% 174.62/26.74 | | | | | (11631) all_65_42 = all_61_11
% 174.62/26.74 | | | | |
% 174.62/26.74 | | | | | GROUND_INST: instantiating (50) with all_61_7, all_65_41, e2, e0,
% 174.62/26.74 | | | | | simplifying with (225), (11616) gives:
% 174.62/26.74 | | | | | (11632) all_65_41 = all_61_7
% 174.62/26.74 | | | | |
% 174.62/26.74 | | | | | GROUND_INST: instantiating (50) with all_61_3, all_65_40, e3, e0,
% 174.62/26.74 | | | | | simplifying with (226), (11615) gives:
% 174.62/26.74 | | | | | (11633) all_65_40 = all_61_3
% 174.62/26.74 | | | | |
% 174.62/26.74 | | | | | GROUND_INST: instantiating (50) with all_61_14, all_24_1, e0, e1,
% 174.62/26.74 | | | | | simplifying with (227), (11627) gives:
% 174.62/26.74 | | | | | (11634) all_61_14 = all_24_1
% 174.62/26.74 | | | | |
% 174.62/26.74 | | | | | GROUND_INST: instantiating (50) with all_61_14, all_65_42, e0, e1,
% 174.62/26.74 | | | | | simplifying with (227), (11621) gives:
% 174.62/26.74 | | | | | (11635) all_65_42 = all_61_14
% 174.62/26.74 | | | | |
% 174.62/26.74 | | | | | GROUND_INST: instantiating (50) with all_8_1, all_65_42, e0, e1,
% 174.62/26.74 | | | | | simplifying with (11606), (11621) gives:
% 174.62/26.74 | | | | | (11636) all_65_42 = all_8_1
% 174.62/26.74 | | | | |
% 174.62/26.74 | | | | | GROUND_INST: instantiating (50) with all_61_13, all_65_26, e0, e2,
% 174.62/26.74 | | | | | simplifying with (231), (11620) gives:
% 174.62/26.74 | | | | | (11637) all_65_26 = all_61_13
% 174.62/26.74 | | | | |
% 174.62/26.74 | | | | | GROUND_INST: instantiating (50) with all_61_12, all_65_10, e0, e3,
% 174.62/26.74 | | | | | simplifying with (235), (11619) gives:
% 174.62/26.74 | | | | | (11638) all_65_10 = all_61_12
% 174.62/26.74 | | | | |
% 174.62/26.74 | | | | | COMBINE_EQS: (11635), (11636) imply:
% 174.62/26.74 | | | | | (11639) all_61_14 = all_8_1
% 174.62/26.74 | | | | |
% 174.62/26.74 | | | | | SIMP: (11639) implies:
% 174.62/26.74 | | | | | (11640) all_61_14 = all_8_1
% 174.62/26.74 | | | | |
% 174.62/26.74 | | | | | COMBINE_EQS: (11631), (11636) imply:
% 174.62/26.74 | | | | | (11641) all_61_11 = all_8_1
% 174.62/26.74 | | | | |
% 174.62/26.74 | | | | | SIMP: (11641) implies:
% 174.62/26.74 | | | | | (11642) all_61_11 = all_8_1
% 174.62/26.74 | | | | |
% 174.62/26.74 | | | | | COMBINE_EQS: (11629), (11630) imply:
% 174.62/26.74 | | | | | (11643) all_65_69 = all_20_2
% 174.62/26.74 | | | | |
% 174.62/26.74 | | | | | COMBINE_EQS: (11634), (11640) imply:
% 174.62/26.74 | | | | | (11644) all_24_1 = all_8_1
% 174.62/26.74 | | | | |
% 174.62/26.74 | | | | | COMBINE_EQS: (510), (11642) imply:
% 174.62/26.74 | | | | | (11645) all_63_14 = all_8_1
% 174.62/26.74 | | | | |
% 174.62/26.74 | | | | | COMBINE_EQS: (505), (11640) imply:
% 174.62/26.74 | | | | | (11646) all_63_11 = all_8_1
% 174.62/26.74 | | | | |
% 174.62/26.74 | | | | | REDUCE: (208), (11640) imply:
% 174.62/26.74 | | | | | (11647) ~ (all_61_2 = all_8_1)
% 174.62/26.74 | | | | |
% 174.62/26.74 | | | | | REDUCE: (206), (11642) imply:
% 174.62/26.74 | | | | | (11648) ~ (all_61_3 = all_8_1)
% 174.62/26.74 | | | | |
% 174.62/26.74 | | | | | REDUCE: (193), (11640) imply:
% 174.62/26.74 | | | | | (11649) ~ (all_61_6 = all_8_1)
% 174.62/26.74 | | | | |
% 174.62/26.74 | | | | | REDUCE: (192), (11642) imply:
% 174.62/26.74 | | | | | (11650) ~ (all_61_7 = all_8_1)
% 174.62/26.74 | | | | |
% 174.62/26.74 | | | | | REDUCE: (188), (11642) imply:
% 174.62/26.74 | | | | | (11651) ~ (all_61_8 = all_8_1)
% 174.62/26.74 | | | | |
% 174.62/26.74 | | | | | REDUCE: (185), (11642) imply:
% 174.62/26.74 | | | | | (11652) ~ (all_61_9 = all_8_1)
% 174.62/26.74 | | | | |
% 174.62/26.74 | | | | | REDUCE: (179), (11640) imply:
% 174.62/26.74 | | | | | (11653) ~ (all_61_12 = all_8_1)
% 174.62/26.74 | | | | |
% 174.62/26.74 | | | | | REDUCE: (177), (11640) imply:
% 174.62/26.74 | | | | | (11654) ~ (all_61_13 = all_8_1)
% 174.62/26.74 | | | | |
% 174.62/26.74 | | | | | REDUCE: (627), (11640) imply:
% 174.62/26.74 | | | | | (11655) ~ (all_20_2 = all_8_1)
% 174.62/26.74 | | | | |
% 174.62/26.74 | | | | | SIMP: (11655) implies:
% 174.62/26.74 | | | | | (11656) ~ (all_20_2 = all_8_1)
% 174.62/26.74 | | | | |
% 174.62/26.74 | | | | | REDUCE: (11614), (11640) imply:
% 174.62/26.74 | | | | | (11657) ~ (all_8_1 = e0)
% 174.62/26.74 | | | | |
% 174.62/26.74 | | | | | REDUCE: (644), (11638) imply:
% 174.62/26.74 | | | | | (11658) op(all_61_8, e1) = all_61_12
% 174.62/26.74 | | | | |
% 174.62/26.74 | | | | | REDUCE: (660), (11637) imply:
% 174.62/26.74 | | | | | (11659) op(all_61_9, e1) = all_61_13
% 174.62/26.74 | | | | |
% 174.62/26.74 | | | | | REDUCE: (690), (11642) imply:
% 174.62/26.74 | | | | | (11660) op(all_8_1, e3) = all_65_65
% 174.62/26.74 | | | | |
% 174.62/26.74 | | | | | REDUCE: (691), (11642) imply:
% 174.62/26.74 | | | | | (11661) op(all_8_1, e2) = all_65_67
% 174.62/26.74 | | | | |
% 174.62/26.74 | | | | | REDUCE: (692), (11642), (11643) imply:
% 174.62/26.74 | | | | | (11662) op(all_8_1, e1) = all_20_2
% 174.62/26.74 | | | | |
% 174.62/26.74 | | | | | REDUCE: (693), (11642) imply:
% 174.62/26.74 | | | | | (11663) op(all_8_1, e0) = all_65_71
% 174.62/26.74 | | | | |
% 174.62/26.74 | | | | | REDUCE: (678), (11640) imply:
% 174.62/26.74 | | | | | (11664) op(all_8_1, e3) = all_65_44
% 174.62/26.74 | | | | |
% 174.62/26.74 | | | | | REDUCE: (679), (11640) imply:
% 174.62/26.74 | | | | | (11665) op(all_8_1, e2) = all_65_45
% 174.62/26.74 | | | | |
% 174.62/26.74 | | | | | REDUCE: (680), (11640) imply:
% 174.62/26.74 | | | | | (11666) op(all_8_1, e1) = all_65_46
% 174.62/26.74 | | | | |
% 174.62/26.74 | | | | | REDUCE: (681), (11640) imply:
% 174.62/26.74 | | | | | (11667) op(all_8_1, e0) = all_65_47
% 174.62/26.74 | | | | |
% 174.62/26.74 | | | | | REDUCE: (712), (11642) imply:
% 174.62/26.74 | | | | | (11668) op(e3, all_8_1) = all_65_14
% 174.62/26.74 | | | | |
% 174.62/26.74 | | | | | REDUCE: (709), (11640) imply:
% 174.62/26.74 | | | | | (11669) op(e3, all_8_1) = all_65_11
% 174.62/26.74 | | | | |
% 174.62/26.74 | | | | | REDUCE: (729), (11642) imply:
% 174.62/26.74 | | | | | (11670) op(e2, all_8_1) = all_65_30
% 174.62/26.74 | | | | |
% 174.62/26.74 | | | | | REDUCE: (726), (11640) imply:
% 174.62/26.74 | | | | | (11671) op(e2, all_8_1) = all_65_27
% 174.62/26.74 | | | | |
% 174.62/26.74 | | | | | REDUCE: (740), (11633) imply:
% 174.62/26.74 | | | | | (11672) op(e1, all_61_2) = all_61_3
% 174.62/26.74 | | | | |
% 174.62/26.74 | | | | | REDUCE: (741), (11632) imply:
% 174.62/26.74 | | | | | (11673) op(e1, all_61_6) = all_61_7
% 174.62/26.74 | | | | |
% 174.62/26.74 | | | | | REDUCE: (763), (11642) imply:
% 174.62/26.74 | | | | | (11674) op(e0, all_8_1) = all_65_77
% 174.62/26.74 | | | | |
% 174.62/26.74 | | | | | REDUCE: (760), (11640) imply:
% 174.62/26.74 | | | | | (11675) op(e0, all_8_1) = all_65_71
% 174.62/26.74 | | | | |
% 174.62/26.74 | | | | | REDUCE: (224), (11642) imply:
% 174.62/26.74 | | | | | (11676) op(e0, e1) = all_8_1
% 174.62/26.74 | | | | |
% 174.62/26.74 | | | | | GROUND_INST: instantiating (50) with all_65_77, all_65_71, all_8_1,
% 174.62/26.74 | | | | | e0, simplifying with (11674), (11675) gives:
% 174.62/26.74 | | | | | (11677) all_65_71 = all_65_77
% 174.62/26.74 | | | | |
% 174.62/26.74 | | | | | GROUND_INST: instantiating (50) with all_65_30, all_65_27, all_8_1,
% 174.62/26.74 | | | | | e2, simplifying with (11670), (11671) gives:
% 174.62/26.74 | | | | | (11678) all_65_27 = all_65_30
% 174.62/26.74 | | | | |
% 174.62/26.74 | | | | | GROUND_INST: instantiating (50) with all_65_14, all_65_11, all_8_1,
% 174.62/26.74 | | | | | e3, simplifying with (11668), (11669) gives:
% 174.62/26.74 | | | | | (11679) all_65_11 = all_65_14
% 174.62/26.74 | | | | |
% 174.62/26.74 | | | | | GROUND_INST: instantiating (50) with all_65_71, all_65_47, e0,
% 174.62/26.74 | | | | | all_8_1, simplifying with (11663), (11667) gives:
% 174.62/26.74 | | | | | (11680) all_65_47 = all_65_71
% 174.62/26.74 | | | | |
% 174.62/26.74 | | | | | GROUND_INST: instantiating (50) with all_20_2, all_65_46, e1, all_8_1,
% 174.62/26.74 | | | | | simplifying with (11662), (11666) gives:
% 174.62/26.74 | | | | | (11681) all_65_46 = all_20_2
% 174.62/26.74 | | | | |
% 174.62/26.74 | | | | | GROUND_INST: instantiating (50) with all_65_67, all_65_45, e2,
% 174.62/26.74 | | | | | all_8_1, simplifying with (11661), (11665) gives:
% 174.62/26.74 | | | | | (11682) all_65_45 = all_65_67
% 174.62/26.74 | | | | |
% 174.62/26.74 | | | | | GROUND_INST: instantiating (50) with all_65_65, all_65_44, e3,
% 174.62/26.74 | | | | | all_8_1, simplifying with (11660), (11664) gives:
% 174.62/26.74 | | | | | (11683) all_65_44 = all_65_65
% 174.62/26.74 | | | | |
% 174.62/26.74 | | | | | COMBINE_EQS: (11677), (11680) imply:
% 174.62/26.74 | | | | | (11684) all_65_47 = all_65_77
% 174.62/26.74 | | | | |
% 174.62/26.74 | | | | | REDUCE: (645), (11679) imply:
% 174.62/26.74 | | | | | (11685) op(all_61_8, e0) = all_65_14
% 174.62/26.74 | | | | |
% 174.62/26.74 | | | | | REDUCE: (661), (11678) imply:
% 174.62/26.74 | | | | | (11686) op(all_61_9, e0) = all_65_30
% 174.62/26.74 | | | | |
% 174.62/26.74 | | | | | REDUCE: (744), (11683) imply:
% 174.62/26.74 | | | | | (11687) op(e1, all_61_3) = all_65_65
% 174.62/26.74 | | | | |
% 174.62/26.74 | | | | | REDUCE: (745), (11682) imply:
% 174.62/26.74 | | | | | (11688) op(e1, all_61_7) = all_65_67
% 174.62/26.74 | | | | |
% 174.62/26.74 | | | | | REDUCE: (747), (11684) imply:
% 174.62/26.74 | | | | | (11689) op(e1, all_20_2) = all_65_77
% 174.62/26.74 | | | | |
% 174.62/26.74 | | | | | BETA: splitting (11) gives:
% 174.62/26.74 | | | | |
% 174.62/26.74 | | | | | Case 1:
% 174.62/26.74 | | | | | |
% 174.62/26.74 | | | | | | (11690) unit = e3
% 174.62/26.74 | | | | | |
% 174.62/26.74 | | | | | | REDUCE: (9), (11690) imply:
% 174.62/26.74 | | | | | | (11691) op(e3, e2) = e2
% 174.62/26.74 | | | | | |
% 174.62/26.74 | | | | | | REDUCE: (8), (11690) imply:
% 174.62/26.74 | | | | | | (11692) op(e3, e1) = e1
% 174.62/26.74 | | | | | |
% 174.62/26.74 | | | | | | REDUCE: (7), (11690) imply:
% 174.62/26.74 | | | | | | (11693) op(e3, e0) = e0
% 174.62/26.74 | | | | | |
% 174.62/26.74 | | | | | | REDUCE: (6), (11690) imply:
% 174.62/26.74 | | | | | | (11694) op(e3, e3) = e3
% 174.62/26.74 | | | | | |
% 174.62/26.74 | | | | | | REDUCE: (5), (11690) imply:
% 174.62/26.74 | | | | | | (11695) op(e2, e3) = e2
% 174.62/26.74 | | | | | |
% 174.62/26.74 | | | | | | REF_CLOSE: (50), (67), (76), (80), (180), (184), (190), (213),
% 174.62/26.74 | | | | | | (234), (235), (236), (237), (256), (257), (264), (265),
% 174.62/26.74 | | | | | | (266), (422), (449), (497), (498), (587), (607), (613),
% 174.62/26.74 | | | | | | (615), (625), (626), (649), (657), (694), (698), (713),
% 174.62/26.74 | | | | | | (722), (752), (754), (11613), (11628), (11644), (11645),
% 174.62/26.74 | | | | | | (11651), (11652), (11653), (11654), (11656), (11691),
% 174.62/26.74 | | | | | | (11692), (11693), (11694), (11695) are inconsistent by
% 174.62/26.74 | | | | | | sub-proof #204.
% 174.62/26.74 | | | | | |
% 174.62/26.74 | | | | | Case 2:
% 174.62/26.74 | | | | | |
% 174.62/26.74 | | | | | | (11696) ~ (unit = e3)
% 174.62/26.74 | | | | | | (11697) unit = e2 | unit = e1 | unit = e0
% 174.62/26.74 | | | | | |
% 174.62/26.74 | | | | | | BETA: splitting (65) gives:
% 174.62/26.74 | | | | | |
% 174.62/26.74 | | | | | | Case 1:
% 174.62/26.74 | | | | | | |
% 174.62/26.74 | | | | | | | (11698) ~ (all_12_2 = e1)
% 174.62/26.74 | | | | | | |
% 174.62/26.74 | | | | | | | REDUCE: (575), (11698) imply:
% 174.62/26.74 | | | | | | | (11699) ~ (all_6_2 = e1)
% 174.62/26.74 | | | | | | |
% 174.62/26.74 | | | | | | | BETA: splitting (68) gives:
% 174.62/26.74 | | | | | | |
% 174.62/26.74 | | | | | | | Case 1:
% 174.62/26.74 | | | | | | | |
% 174.62/26.74 | | | | | | | | (11700) ~ (all_14_2 = e2)
% 174.62/26.74 | | | | | | | |
% 174.62/26.74 | | | | | | | | BETA: splitting (77) gives:
% 174.62/26.74 | | | | | | | |
% 174.62/26.74 | | | | | | | | Case 1:
% 174.62/26.74 | | | | | | | | |
% 174.62/26.74 | | | | | | | | | (11701) ~ (all_20_2 = e2)
% 174.62/26.74 | | | | | | | | |
% 174.62/26.74 | | | | | | | | | BETA: splitting (80) gives:
% 174.62/26.74 | | | | | | | | |
% 174.62/26.74 | | | | | | | | | Case 1:
% 174.62/26.74 | | | | | | | | | |
% 174.62/26.74 | | | | | | | | | | (11702) ~ (all_22_2 = e0)
% 174.62/26.74 | | | | | | | | | |
% 174.62/26.74 | | | | | | | | | | REDUCE: (449), (11702) imply:
% 174.62/26.74 | | | | | | | | | | (11703) ~ (all_6_2 = e0)
% 174.62/26.74 | | | | | | | | | |
% 174.62/26.74 | | | | | | | | | | BETA: splitting (266) gives:
% 174.62/26.74 | | | | | | | | | |
% 174.62/26.74 | | | | | | | | | | Case 1:
% 174.62/26.74 | | | | | | | | | | |
% 174.62/26.74 | | | | | | | | | | | (11704) all_63_5 = e3
% 174.62/26.74 | | | | | | | | | | |
% 174.62/26.74 | | | | | | | | | | | REF_CLOSE: (587), (767), (11704) are inconsistent by
% 174.62/26.74 | | | | | | | | | | | sub-proof #513.
% 174.62/26.74 | | | | | | | | | | |
% 174.62/26.74 | | | | | | | | | | Case 2:
% 174.62/26.74 | | | | | | | | | | |
% 174.62/26.74 | | | | | | | | | | | (11705) all_63_5 = e2 | all_63_5 = e1 | all_63_5 = e0
% 174.62/26.74 | | | | | | | | | | |
% 174.62/26.74 | | | | | | | | | | | BETA: splitting (11705) gives:
% 174.62/26.74 | | | | | | | | | | |
% 174.62/26.74 | | | | | | | | | | | Case 1:
% 174.62/26.74 | | | | | | | | | | | |
% 174.62/26.74 | | | | | | | | | | | | (11706) all_63_5 = e2
% 174.62/26.74 | | | | | | | | | | | |
% 174.62/26.74 | | | | | | | | | | | | COMBINE_EQS: (587), (11706) imply:
% 174.62/26.74 | | | | | | | | | | | | (11707) all_6_2 = e2
% 174.62/26.74 | | | | | | | | | | | |
% 174.62/26.74 | | | | | | | | | | | | SIMP: (11707) implies:
% 174.62/26.74 | | | | | | | | | | | | (11708) all_6_2 = e2
% 174.62/26.74 | | | | | | | | | | | |
% 174.62/26.74 | | | | | | | | | | | | REDUCE: (604), (11708) imply:
% 174.62/26.74 | | | | | | | | | | | | (11709) ~ (all_61_1 = e2)
% 174.62/26.74 | | | | | | | | | | | |
% 174.62/26.74 | | | | | | | | | | | | REDUCE: (607), (11708) imply:
% 174.62/26.74 | | | | | | | | | | | | (11710) ~ (all_61_4 = e2)
% 174.62/26.74 | | | | | | | | | | | |
% 174.62/26.74 | | | | | | | | | | | | REDUCE: (609), (11708) imply:
% 174.62/26.74 | | | | | | | | | | | | (11711) ~ (all_61_6 = e2)
% 174.62/26.74 | | | | | | | | | | | |
% 174.62/26.74 | | | | | | | | | | | | REDUCE: (611), (11708) imply:
% 174.62/26.74 | | | | | | | | | | | | (11712) ~ (all_61_7 = e2)
% 174.62/26.74 | | | | | | | | | | | |
% 174.62/26.74 | | | | | | | | | | | | REDUCE: (613), (11708) imply:
% 174.62/26.74 | | | | | | | | | | | | (11713) ~ (all_61_9 = e2)
% 174.62/26.74 | | | | | | | | | | | |
% 174.62/26.74 | | | | | | | | | | | | REDUCE: (615), (11708) imply:
% 174.62/26.74 | | | | | | | | | | | | (11714) ~ (all_61_13 = e2)
% 174.62/26.74 | | | | | | | | | | | |
% 174.62/26.74 | | | | | | | | | | | | REDUCE: (654), (11708) imply:
% 174.62/26.74 | | | | | | | | | | | | (11715) op(e2, e3) = all_65_20
% 174.62/26.74 | | | | | | | | | | | |
% 174.62/26.74 | | | | | | | | | | | | REDUCE: (656), (11708) imply:
% 174.62/26.74 | | | | | | | | | | | | (11716) op(e2, e1) = all_65_22
% 174.62/26.74 | | | | | | | | | | | |
% 174.62/26.74 | | | | | | | | | | | | REDUCE: (657), (11708) imply:
% 174.62/26.74 | | | | | | | | | | | | (11717) op(e2, e0) = all_65_23
% 174.62/26.74 | | | | | | | | | | | |
% 174.62/26.74 | | | | | | | | | | | | REDUCE: (703), (11708) imply:
% 174.62/26.74 | | | | | | | | | | | | (11718) op(e3, e2) = all_65_5
% 174.62/26.74 | | | | | | | | | | | |
% 174.62/26.74 | | | | | | | | | | | | REDUCE: (720), (11708) imply:
% 174.62/26.74 | | | | | | | | | | | | (11719) op(e2, e2) = all_65_21
% 174.62/26.74 | | | | | | | | | | | |
% 174.62/26.74 | | | | | | | | | | | | REDUCE: (55), (11708) imply:
% 174.62/26.74 | | | | | | | | | | | | (11720) op(e2, e2) = e2
% 174.62/26.74 | | | | | | | | | | | |
% 174.62/26.74 | | | | | | | | | | | | REDUCE: (737), (11708) imply:
% 174.62/26.74 | | | | | | | | | | | | (11721) op(e1, e2) = all_65_37
% 174.62/26.74 | | | | | | | | | | | |
% 174.62/26.74 | | | | | | | | | | | | REDUCE: (754), (11708) imply:
% 174.62/26.74 | | | | | | | | | | | | (11722) op(e0, e2) = all_65_59
% 174.62/26.74 | | | | | | | | | | | |
% 174.62/26.74 | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_7, all_65_59, e2,
% 174.62/26.74 | | | | | | | | | | | | e0, simplifying with (225), (11722) gives:
% 174.62/26.74 | | | | | | | | | | | | (11723) all_65_59 = all_61_7
% 174.62/26.74 | | | | | | | | | | | |
% 174.62/26.74 | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_6, all_65_37, e2,
% 174.62/26.74 | | | | | | | | | | | | e1, simplifying with (229), (11721) gives:
% 174.62/26.74 | | | | | | | | | | | | (11724) all_65_37 = all_61_6
% 174.62/26.74 | | | | | | | | | | | |
% 174.62/26.74 | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_13, all_65_23, e0,
% 174.62/26.74 | | | | | | | | | | | | e2, simplifying with (231), (11717) gives:
% 174.62/26.74 | | | | | | | | | | | | (11725) all_65_23 = all_61_13
% 174.62/26.74 | | | | | | | | | | | |
% 174.62/26.74 | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_9, all_65_22, e1,
% 174.62/26.74 | | | | | | | | | | | | e2, simplifying with (232), (11716) gives:
% 174.62/26.74 | | | | | | | | | | | | (11726) all_65_22 = all_61_9
% 174.62/26.74 | | | | | | | | | | | |
% 174.62/26.74 | | | | | | | | | | | | GROUND_INST: instantiating (50) with e2, all_65_21, e2, e2,
% 174.62/26.74 | | | | | | | | | | | | simplifying with (11719), (11720) gives:
% 174.62/26.74 | | | | | | | | | | | | (11727) all_65_21 = e2
% 174.62/26.74 | | | | | | | | | | | |
% 174.62/26.74 | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_1, all_65_20, e3,
% 174.62/26.74 | | | | | | | | | | | | e2, simplifying with (234), (11715) gives:
% 174.62/26.74 | | | | | | | | | | | | (11728) all_65_20 = all_61_1
% 174.62/26.74 | | | | | | | | | | | |
% 174.62/26.74 | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_4, all_65_5, e2,
% 174.62/26.74 | | | | | | | | | | | | e3, simplifying with (237), (11718) gives:
% 174.62/26.74 | | | | | | | | | | | | (11729) all_65_5 = all_61_4
% 174.62/26.74 | | | | | | | | | | | |
% 174.62/26.74 | | | | | | | | | | | | REDUCE: (639), (11729) imply:
% 174.62/26.74 | | | | | | | | | | | | (11730) op(all_61_4, e2) = all_61_4
% 174.62/26.74 | | | | | | | | | | | |
% 174.62/26.74 | | | | | | | | | | | | REDUCE: (687), (11723) imply:
% 174.62/26.74 | | | | | | | | | | | | (11731) op(all_61_7, e2) = all_61_7
% 174.62/26.74 | | | | | | | | | | | |
% 174.62/26.74 | | | | | | | | | | | | BETA: splitting (89) gives:
% 174.62/26.74 | | | | | | | | | | | |
% 174.62/26.74 | | | | | | | | | | | | Case 1:
% 174.62/26.74 | | | | | | | | | | | | |
% 174.62/26.74 | | | | | | | | | | | | | (11732) ~ (all_28_2 = e3)
% 174.62/26.74 | | | | | | | | | | | | |
% 174.62/26.74 | | | | | | | | | | | | | REDUCE: (563), (11732) imply:
% 174.62/26.74 | | | | | | | | | | | | | (11733) ~ (all_20_2 = e3)
% 174.62/26.74 | | | | | | | | | | | | |
% 174.62/26.74 | | | | | | | | | | | | | BETA: splitting (101) gives:
% 174.62/26.74 | | | | | | | | | | | | |
% 174.62/26.74 | | | | | | | | | | | | | Case 1:
% 174.62/26.74 | | | | | | | | | | | | | |
% 174.62/26.74 | | | | | | | | | | | | | | (11734) ~ (all_36_2 = e0)
% 174.62/26.74 | | | | | | | | | | | | | |
% 174.62/26.74 | | | | | | | | | | | | | | REDUCE: (557), (11734) imply:
% 174.62/26.74 | | | | | | | | | | | | | | (11735) ~ (all_14_2 = e0)
% 174.62/26.74 | | | | | | | | | | | | | |
% 174.62/26.74 | | | | | | | | | | | | | | BETA: splitting (107) gives:
% 174.62/26.74 | | | | | | | | | | | | | |
% 174.62/26.74 | | | | | | | | | | | | | | Case 1:
% 174.62/26.74 | | | | | | | | | | | | | | |
% 174.62/26.74 | | | | | | | | | | | | | | | (11736) ~ (all_40_2 = e1)
% 174.62/26.74 | | | | | | | | | | | | | | |
% 174.62/26.74 | | | | | | | | | | | | | | | REDUCE: (553), (11736) imply:
% 174.62/26.74 | | | | | | | | | | | | | | | (11737) ~ (all_14_2 = e1)
% 174.62/26.74 | | | | | | | | | | | | | | |
% 174.62/26.74 | | | | | | | | | | | | | | | BETA: splitting (271) gives:
% 174.62/26.74 | | | | | | | | | | | | | | |
% 174.62/26.74 | | | | | | | | | | | | | | | Case 1:
% 174.62/26.74 | | | | | | | | | | | | | | | |
% 174.62/26.74 | | | | | | | | | | | | | | | | (11738) all_63_0 = e3
% 174.62/26.74 | | | | | | | | | | | | | | | |
% 174.62/26.74 | | | | | | | | | | | | | | | | COMBINE_EQS: (588), (11738) imply:
% 174.62/26.74 | | | | | | | | | | | | | | | | (11739) all_14_2 = e3
% 174.62/26.74 | | | | | | | | | | | | | | | |
% 174.62/26.74 | | | | | | | | | | | | | | | | REDUCE: (593), (11739) imply:
% 174.62/26.74 | | | | | | | | | | | | | | | | (11740) ~ (all_61_1 = e3)
% 174.62/26.74 | | | | | | | | | | | | | | | |
% 174.62/26.74 | | | | | | | | | | | | | | | | REDUCE: (595), (11739) imply:
% 174.62/26.75 | | | | | | | | | | | | | | | | (11741) ~ (all_61_2 = e3)
% 174.62/26.75 | | | | | | | | | | | | | | | |
% 174.62/26.75 | | | | | | | | | | | | | | | | REDUCE: (597), (11739) imply:
% 174.62/26.75 | | | | | | | | | | | | | | | | (11742) ~ (all_61_3 = e3)
% 174.62/26.75 | | | | | | | | | | | | | | | |
% 174.62/26.75 | | | | | | | | | | | | | | | | REDUCE: (601), (11739) imply:
% 174.62/26.75 | | | | | | | | | | | | | | | | (11743) ~ (all_61_8 = e3)
% 174.62/26.75 | | | | | | | | | | | | | | | |
% 174.62/26.75 | | | | | | | | | | | | | | | | REDUCE: (635), (11739) imply:
% 174.62/26.75 | | | | | | | | | | | | | | | | (11744) op(e3, e2) = all_65_1
% 174.62/26.75 | | | | | | | | | | | | | | | |
% 174.62/26.75 | | | | | | | | | | | | | | | | REDUCE: (636), (11739) imply:
% 174.62/26.75 | | | | | | | | | | | | | | | | (11745) op(e3, e1) = all_65_2
% 174.62/26.75 | | | | | | | | | | | | | | | |
% 174.62/26.75 | | | | | | | | | | | | | | | | REDUCE: (698), (11739) imply:
% 174.62/26.75 | | | | | | | | | | | | | | | | (11746) op(e3, e3) = all_65_0
% 174.62/26.75 | | | | | | | | | | | | | | | |
% 174.62/26.75 | | | | | | | | | | | | | | | | REDUCE: (67), (11739) imply:
% 174.62/26.75 | | | | | | | | | | | | | | | | (11747) op(e3, e3) = e3
% 174.62/26.75 | | | | | | | | | | | | | | | |
% 174.62/26.75 | | | | | | | | | | | | | | | | REDUCE: (715), (11739) imply:
% 174.62/26.75 | | | | | | | | | | | | | | | | (11748) op(e2, e3) = all_65_16
% 174.62/26.75 | | | | | | | | | | | | | | | |
% 174.62/26.75 | | | | | | | | | | | | | | | | REDUCE: (732), (11739) imply:
% 174.62/26.75 | | | | | | | | | | | | | | | | (11749) op(e1, e3) = all_65_32
% 174.62/26.75 | | | | | | | | | | | | | | | |
% 174.62/26.75 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_2, all_65_32, e3,
% 174.62/26.75 | | | | | | | | | | | | | | | | e1, simplifying with (230), (11749) gives:
% 174.62/26.75 | | | | | | | | | | | | | | | | (11750) all_65_32 = all_61_2
% 174.62/26.75 | | | | | | | | | | | | | | | |
% 174.62/26.75 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_1, all_65_16, e3,
% 174.62/26.75 | | | | | | | | | | | | | | | | e2, simplifying with (234), (11748) gives:
% 174.62/26.75 | | | | | | | | | | | | | | | | (11751) all_65_16 = all_61_1
% 174.62/26.75 | | | | | | | | | | | | | | | |
% 174.62/26.75 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_8, all_65_2, e1,
% 174.62/26.75 | | | | | | | | | | | | | | | | e3, simplifying with (236), (11745) gives:
% 174.62/26.75 | | | | | | | | | | | | | | | | (11752) all_65_2 = all_61_8
% 174.62/26.75 | | | | | | | | | | | | | | | |
% 174.62/26.75 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_4, all_65_1, e2,
% 174.62/26.75 | | | | | | | | | | | | | | | | e3, simplifying with (237), (11744) gives:
% 174.62/26.75 | | | | | | | | | | | | | | | | (11753) all_65_1 = all_61_4
% 174.62/26.75 | | | | | | | | | | | | | | | |
% 174.62/26.75 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e3, all_65_0, e3, e3,
% 174.62/26.75 | | | | | | | | | | | | | | | | simplifying with (11746), (11747) gives:
% 174.62/26.75 | | | | | | | | | | | | | | | | (11754) all_65_0 = e3
% 174.62/26.75 | | | | | | | | | | | | | | | |
% 174.62/26.75 | | | | | | | | | | | | | | | | REDUCE: (650), (11751) imply:
% 174.62/26.75 | | | | | | | | | | | | | | | | (11755) op(all_61_1, e3) = all_61_1
% 174.62/26.75 | | | | | | | | | | | | | | | |
% 174.62/26.75 | | | | | | | | | | | | | | | | REDUCE: (666), (11750) imply:
% 174.62/26.75 | | | | | | | | | | | | | | | | (11756) op(all_61_2, e3) = all_61_2
% 174.62/26.75 | | | | | | | | | | | | | | | |
% 174.62/26.75 | | | | | | | | | | | | | | | | BETA: splitting (110) gives:
% 174.62/26.75 | | | | | | | | | | | | | | | |
% 174.62/26.75 | | | | | | | | | | | | | | | | Case 1:
% 174.62/26.75 | | | | | | | | | | | | | | | | |
% 174.62/26.75 | | | | | | | | | | | | | | | | | (11757) ~ (all_42_2 = e1)
% 174.62/26.75 | | | | | | | | | | | | | | | | |
% 174.62/26.75 | | | | | | | | | | | | | | | | | REDUCE: (532), (11757) imply:
% 174.62/26.75 | | | | | | | | | | | | | | | | | (11758) ~ (all_20_2 = e1)
% 174.62/26.75 | | | | | | | | | | | | | | | | |
% 174.62/26.75 | | | | | | | | | | | | | | | | | BETA: splitting (256) gives:
% 174.62/26.75 | | | | | | | | | | | | | | | | |
% 174.62/26.75 | | | | | | | | | | | | | | | | | Case 1:
% 174.62/26.75 | | | | | | | | | | | | | | | | | |
% 174.62/26.75 | | | | | | | | | | | | | | | | | | (11759) all_63_15 = e3
% 174.62/26.75 | | | | | | | | | | | | | | | | | |
% 174.62/26.75 | | | | | | | | | | | | | | | | | | REF_CLOSE: (422), (11733), (11759) are inconsistent by
% 174.62/26.75 | | | | | | | | | | | | | | | | | | sub-proof #501.
% 174.62/26.75 | | | | | | | | | | | | | | | | | |
% 174.62/26.75 | | | | | | | | | | | | | | | | | Case 2:
% 174.62/26.75 | | | | | | | | | | | | | | | | | |
% 174.62/26.75 | | | | | | | | | | | | | | | | | | (11760) all_63_15 = e2 | all_63_15 = e1 | all_63_15 = e0
% 174.62/26.75 | | | | | | | | | | | | | | | | | |
% 174.62/26.75 | | | | | | | | | | | | | | | | | | BETA: splitting (11760) gives:
% 174.62/26.75 | | | | | | | | | | | | | | | | | |
% 174.62/26.75 | | | | | | | | | | | | | | | | | | Case 1:
% 174.62/26.75 | | | | | | | | | | | | | | | | | | |
% 174.62/26.75 | | | | | | | | | | | | | | | | | | | (11761) all_63_15 = e2
% 174.62/26.75 | | | | | | | | | | | | | | | | | | |
% 174.62/26.75 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (422), (11701), (11761) are inconsistent by
% 174.62/26.75 | | | | | | | | | | | | | | | | | | | sub-proof #500.
% 174.62/26.75 | | | | | | | | | | | | | | | | | | |
% 174.62/26.75 | | | | | | | | | | | | | | | | | | Case 2:
% 174.62/26.75 | | | | | | | | | | | | | | | | | | |
% 174.62/26.75 | | | | | | | | | | | | | | | | | | | (11762) all_63_15 = e1 | all_63_15 = e0
% 174.62/26.75 | | | | | | | | | | | | | | | | | | |
% 174.62/26.75 | | | | | | | | | | | | | | | | | | | BETA: splitting (11762) gives:
% 174.62/26.75 | | | | | | | | | | | | | | | | | | |
% 174.62/26.75 | | | | | | | | | | | | | | | | | | | Case 1:
% 174.62/26.75 | | | | | | | | | | | | | | | | | | | |
% 174.62/26.75 | | | | | | | | | | | | | | | | | | | | (11763) all_63_15 = e1
% 174.62/26.75 | | | | | | | | | | | | | | | | | | | |
% 174.62/26.75 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (422), (11758), (11763) are inconsistent by
% 174.62/26.75 | | | | | | | | | | | | | | | | | | | | sub-proof #499.
% 174.62/26.75 | | | | | | | | | | | | | | | | | | | |
% 174.62/26.75 | | | | | | | | | | | | | | | | | | | Case 2:
% 174.62/26.75 | | | | | | | | | | | | | | | | | | | |
% 174.62/26.75 | | | | | | | | | | | | | | | | | | | | (11764) all_63_15 = e0
% 174.62/26.75 | | | | | | | | | | | | | | | | | | | |
% 174.62/26.75 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (422), (11764) imply:
% 174.62/26.75 | | | | | | | | | | | | | | | | | | | | (11765) all_20_2 = e0
% 174.62/26.75 | | | | | | | | | | | | | | | | | | | |
% 174.62/26.75 | | | | | | | | | | | | | | | | | | | | SIMP: (11765) implies:
% 174.62/26.75 | | | | | | | | | | | | | | | | | | | | (11766) all_20_2 = e0
% 174.62/26.75 | | | | | | | | | | | | | | | | | | | |
% 174.62/26.75 | | | | | | | | | | | | | | | | | | | | REDUCE: (11656), (11766) imply:
% 174.62/26.75 | | | | | | | | | | | | | | | | | | | | (11767) ~ (all_8_1 = e0)
% 174.62/26.75 | | | | | | | | | | | | | | | | | | | |
% 174.62/26.75 | | | | | | | | | | | | | | | | | | | | REDUCE: (730), (11766) imply:
% 174.62/26.75 | | | | | | | | | | | | | | | | | | | | (11768) op(e2, e0) = all_65_31
% 174.62/26.75 | | | | | | | | | | | | | | | | | | | |
% 174.62/26.75 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_13, all_65_31, e0,
% 174.62/26.75 | | | | | | | | | | | | | | | | | | | | e2, simplifying with (231), (11768) gives:
% 174.62/26.75 | | | | | | | | | | | | | | | | | | | | (11769) all_65_31 = all_61_13
% 174.62/26.75 | | | | | | | | | | | | | | | | | | | |
% 174.62/26.75 | | | | | | | | | | | | | | | | | | | | BETA: splitting (162) gives:
% 174.62/26.75 | | | | | | | | | | | | | | | | | | | |
% 174.62/26.75 | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.62/26.75 | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.75 | | | | | | | | | | | | | | | | | | | | | (11770) ~ (all_58_2 = e3)
% 174.62/26.75 | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.75 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (10), (50), (149), (150), (151), (157),
% 174.62/26.75 | | | | | | | | | | | | | | | | | | | | | (160), (161), (165), (168), (184), (190), (212),
% 174.62/26.75 | | | | | | | | | | | | | | | | | | | | | (213), (229), (231), (232), (234), (237), (260),
% 174.62/26.75 | | | | | | | | | | | | | | | | | | | | | (262), (264), (267), (269), (475), (478), (481),
% 174.62/26.75 | | | | | | | | | | | | | | | | | | | | | (484), (489), (493), (498), (501), (534), (536),
% 174.62/26.75 | | | | | | | | | | | | | | | | | | | | | (538), (628), (629), (630), (631), (632), (638),
% 174.62/26.75 | | | | | | | | | | | | | | | | | | | | | (651), (714), (731), (748), (11612), (11613),
% 174.62/26.75 | | | | | | | | | | | | | | | | | | | | | (11622), (11646), (11651), (11652), (11654),
% 174.62/26.75 | | | | | | | | | | | | | | | | | | | | | (11657), (11696), (11709), (11713), (11714),
% 174.62/26.75 | | | | | | | | | | | | | | | | | | | | | (11720), (11730), (11740), (11743), (11747),
% 174.62/26.75 | | | | | | | | | | | | | | | | | | | | | (11755), (11770) are inconsistent by sub-proof
% 174.62/26.75 | | | | | | | | | | | | | | | | | | | | | #195.
% 174.62/26.75 | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.75 | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.62/26.75 | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.75 | | | | | | | | | | | | | | | | | | | | | (11771) all_58_2 = e3
% 174.62/26.75 | | | | | | | | | | | | | | | | | | | | | (11772) all_58_0 = e1
% 174.62/26.75 | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.75 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (50), (230), (236), (478), (484), (642),
% 174.62/26.75 | | | | | | | | | | | | | | | | | | | | | (714), (748), (11743), (11756), (11771), (11772)
% 174.62/26.75 | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #504.
% 174.62/26.75 | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.75 | | | | | | | | | | | | | | | | | | | | End of split
% 174.62/26.75 | | | | | | | | | | | | | | | | | | | |
% 174.62/26.75 | | | | | | | | | | | | | | | | | | | End of split
% 174.62/26.75 | | | | | | | | | | | | | | | | | | |
% 174.62/26.75 | | | | | | | | | | | | | | | | | | End of split
% 174.62/26.75 | | | | | | | | | | | | | | | | | |
% 174.62/26.75 | | | | | | | | | | | | | | | | | End of split
% 174.62/26.75 | | | | | | | | | | | | | | | | |
% 174.62/26.75 | | | | | | | | | | | | | | | | Case 2:
% 174.62/26.75 | | | | | | | | | | | | | | | | |
% 174.62/26.75 | | | | | | | | | | | | | | | | | (11773) all_42_2 = e1
% 174.62/26.75 | | | | | | | | | | | | | | | | |
% 174.62/26.75 | | | | | | | | | | | | | | | | | COMBINE_EQS: (532), (11773) imply:
% 174.62/26.75 | | | | | | | | | | | | | | | | | (11774) all_20_2 = e1
% 174.62/26.75 | | | | | | | | | | | | | | | | |
% 174.62/26.75 | | | | | | | | | | | | | | | | | SIMP: (11774) implies:
% 174.62/26.75 | | | | | | | | | | | | | | | | | (11775) all_20_2 = e1
% 174.62/26.75 | | | | | | | | | | | | | | | | |
% 174.62/26.75 | | | | | | | | | | | | | | | | | REDUCE: (11656), (11775) imply:
% 174.62/26.75 | | | | | | | | | | | | | | | | | (11776) ~ (all_8_1 = e1)
% 174.62/26.75 | | | | | | | | | | | | | | | | |
% 174.62/26.75 | | | | | | | | | | | | | | | | | SIMP: (11776) implies:
% 174.62/26.75 | | | | | | | | | | | | | | | | | (11777) ~ (all_8_1 = e1)
% 174.62/26.75 | | | | | | | | | | | | | | | | |
% 174.62/26.75 | | | | | | | | | | | | | | | | | REDUCE: (694), (11775) imply:
% 174.62/26.75 | | | | | | | | | | | | | | | | | (11778) op(e1, e3) = all_65_73
% 174.62/26.75 | | | | | | | | | | | | | | | | |
% 174.62/26.75 | | | | | | | | | | | | | | | | | REDUCE: (695), (11775) imply:
% 174.62/26.75 | | | | | | | | | | | | | | | | | (11779) op(e1, e2) = all_65_75
% 174.62/26.75 | | | | | | | | | | | | | | | | |
% 174.62/26.75 | | | | | | | | | | | | | | | | | REDUCE: (697), (11775) imply:
% 174.62/26.75 | | | | | | | | | | | | | | | | | (11780) op(e1, e0) = all_65_78
% 174.62/26.75 | | | | | | | | | | | | | | | | |
% 174.62/26.75 | | | | | | | | | | | | | | | | | REDUCE: (713), (11775) imply:
% 174.62/26.75 | | | | | | | | | | | | | | | | | (11781) op(e3, e1) = all_65_15
% 174.62/26.75 | | | | | | | | | | | | | | | | |
% 174.62/26.75 | | | | | | | | | | | | | | | | | REDUCE: (730), (11775) imply:
% 174.62/26.75 | | | | | | | | | | | | | | | | | (11782) op(e2, e1) = all_65_31
% 174.62/26.75 | | | | | | | | | | | | | | | | |
% 174.62/26.75 | | | | | | | | | | | | | | | | | REDUCE: (11689), (11775) imply:
% 174.62/26.75 | | | | | | | | | | | | | | | | | (11783) op(e1, e1) = all_65_77
% 174.62/26.75 | | | | | | | | | | | | | | | | |
% 174.62/26.75 | | | | | | | | | | | | | | | | | REDUCE: (76), (11775) imply:
% 174.62/26.75 | | | | | | | | | | | | | | | | | (11784) op(e0, e0) = e1
% 174.62/26.75 | | | | | | | | | | | | | | | | |
% 174.62/26.75 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_8_1, all_65_78, e0,
% 174.62/26.75 | | | | | | | | | | | | | | | | | e1, simplifying with (11606), (11780) gives:
% 174.62/26.75 | | | | | | | | | | | | | | | | | (11785) all_65_78 = all_8_1
% 174.62/26.75 | | | | | | | | | | | | | | | | |
% 174.62/26.75 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e0, all_65_77, e1, e1,
% 174.62/26.75 | | | | | | | | | | | | | | | | | simplifying with (11622), (11783) gives:
% 174.62/26.75 | | | | | | | | | | | | | | | | | (11786) all_65_77 = e0
% 174.62/26.75 | | | | | | | | | | | | | | | | |
% 174.62/26.75 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_6, all_65_75, e2,
% 174.62/26.75 | | | | | | | | | | | | | | | | | e1, simplifying with (229), (11779) gives:
% 174.62/26.75 | | | | | | | | | | | | | | | | | (11787) all_65_75 = all_61_6
% 174.62/26.75 | | | | | | | | | | | | | | | | |
% 174.62/26.75 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_2, all_65_73, e3,
% 174.62/26.75 | | | | | | | | | | | | | | | | | e1, simplifying with (230), (11778) gives:
% 174.62/26.75 | | | | | | | | | | | | | | | | | (11788) all_65_73 = all_61_2
% 174.62/26.75 | | | | | | | | | | | | | | | | |
% 174.62/26.75 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_9, all_65_31, e1,
% 174.62/26.75 | | | | | | | | | | | | | | | | | e2, simplifying with (232), (11782) gives:
% 174.62/26.75 | | | | | | | | | | | | | | | | | (11789) all_65_31 = all_61_9
% 174.62/26.75 | | | | | | | | | | | | | | | | |
% 174.62/26.75 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_8, all_65_15, e1,
% 174.62/26.75 | | | | | | | | | | | | | | | | | e3, simplifying with (236), (11781) gives:
% 174.62/26.75 | | | | | | | | | | | | | | | | | (11790) all_65_15 = all_61_8
% 174.62/26.75 | | | | | | | | | | | | | | | | |
% 174.62/26.75 | | | | | | | | | | | | | | | | | BETA: splitting (157) gives:
% 174.62/26.75 | | | | | | | | | | | | | | | | |
% 174.62/26.75 | | | | | | | | | | | | | | | | | Case 1:
% 174.62/26.75 | | | | | | | | | | | | | | | | | |
% 174.62/26.75 | | | | | | | | | | | | | | | | | | (11791) ~ (all_58_3 = e1)
% 174.62/26.75 | | | | | | | | | | | | | | | | | |
% 174.62/26.75 | | | | | | | | | | | | | | | | | | REDUCE: (475), (11791) imply:
% 174.62/26.75 | | | | | | | | | | | | | | | | | | (11792) ~ (all_52_3 = e1)
% 174.62/26.75 | | | | | | | | | | | | | | | | | |
% 174.62/26.75 | | | | | | | | | | | | | | | | | | BETA: splitting (160) gives:
% 174.62/26.75 | | | | | | | | | | | | | | | | | |
% 174.62/26.75 | | | | | | | | | | | | | | | | | | Case 1:
% 174.62/26.75 | | | | | | | | | | | | | | | | | | |
% 174.62/26.75 | | | | | | | | | | | | | | | | | | | (11793) ~ (all_58_2 = e0)
% 174.62/26.75 | | | | | | | | | | | | | | | | | | |
% 174.62/26.75 | | | | | | | | | | | | | | | | | | | REDUCE: (478), (11793) imply:
% 174.62/26.75 | | | | | | | | | | | | | | | | | | | (11794) ~ (all_52_2 = e0)
% 174.62/26.75 | | | | | | | | | | | | | | | | | | |
% 174.62/26.75 | | | | | | | | | | | | | | | | | | | BETA: splitting (161) gives:
% 174.62/26.75 | | | | | | | | | | | | | | | | | | |
% 174.62/26.75 | | | | | | | | | | | | | | | | | | | Case 1:
% 174.62/26.75 | | | | | | | | | | | | | | | | | | | |
% 174.62/26.75 | | | | | | | | | | | | | | | | | | | | (11795) ~ (all_58_2 = e2)
% 174.62/26.75 | | | | | | | | | | | | | | | | | | | |
% 174.62/26.75 | | | | | | | | | | | | | | | | | | | | REDUCE: (478), (11795) imply:
% 174.62/26.75 | | | | | | | | | | | | | | | | | | | | (11796) ~ (all_52_2 = e2)
% 174.62/26.75 | | | | | | | | | | | | | | | | | | | |
% 174.62/26.75 | | | | | | | | | | | | | | | | | | | | BETA: splitting (162) gives:
% 174.62/26.75 | | | | | | | | | | | | | | | | | | | |
% 174.62/26.75 | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.62/26.75 | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.75 | | | | | | | | | | | | | | | | | | | | | (11797) ~ (all_58_2 = e3)
% 174.62/26.75 | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.75 | | | | | | | | | | | | | | | | | | | | | REDUCE: (478), (11797) imply:
% 174.62/26.75 | | | | | | | | | | | | | | | | | | | | | (11798) ~ (all_52_2 = e3)
% 174.62/26.75 | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.75 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (50), (149), (538), (748), (11622), (11784),
% 174.62/26.75 | | | | | | | | | | | | | | | | | | | | | (11794), (11796), (11798) are inconsistent by
% 174.62/26.75 | | | | | | | | | | | | | | | | | | | | | sub-proof #194.
% 174.62/26.75 | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.75 | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.62/26.75 | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.75 | | | | | | | | | | | | | | | | | | | | | (11799) all_58_2 = e3
% 174.62/26.75 | | | | | | | | | | | | | | | | | | | | | (11800) all_58_0 = e1
% 174.62/26.75 | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.75 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (50), (230), (236), (478), (484), (642),
% 174.62/26.75 | | | | | | | | | | | | | | | | | | | | | (714), (748), (11743), (11756), (11799), (11800)
% 174.62/26.75 | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #193.
% 174.62/26.75 | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.75 | | | | | | | | | | | | | | | | | | | | End of split
% 174.62/26.75 | | | | | | | | | | | | | | | | | | | |
% 174.62/26.75 | | | | | | | | | | | | | | | | | | | Case 2:
% 174.62/26.75 | | | | | | | | | | | | | | | | | | | |
% 174.62/26.75 | | | | | | | | | | | | | | | | | | | | (11801) all_58_2 = e2
% 174.62/26.75 | | | | | | | | | | | | | | | | | | | | (11802) all_58_1 = e1
% 174.62/26.75 | | | | | | | | | | | | | | | | | | | |
% 174.62/26.75 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (481), (11802) imply:
% 174.62/26.75 | | | | | | | | | | | | | | | | | | | | (11803) all_52_1 = e1
% 174.62/26.75 | | | | | | | | | | | | | | | | | | | |
% 174.62/26.75 | | | | | | | | | | | | | | | | | | | | SIMP: (11803) implies:
% 174.62/26.75 | | | | | | | | | | | | | | | | | | | | (11804) all_52_1 = e1
% 174.62/26.75 | | | | | | | | | | | | | | | | | | | |
% 174.62/26.75 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (478), (11801) imply:
% 174.62/26.75 | | | | | | | | | | | | | | | | | | | | (11805) all_52_2 = e2
% 174.62/26.75 | | | | | | | | | | | | | | | | | | | |
% 174.62/26.75 | | | | | | | | | | | | | | | | | | | | SIMP: (11805) implies:
% 174.62/26.75 | | | | | | | | | | | | | | | | | | | | (11806) all_52_2 = e2
% 174.62/26.75 | | | | | | | | | | | | | | | | | | | |
% 174.62/26.75 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (50), (184), (190), (212), (213), (229), (232),
% 174.62/26.75 | | | | | | | | | | | | | | | | | | | | (260), (262), (264), (267), (269), (489), (493),
% 174.62/26.75 | | | | | | | | | | | | | | | | | | | | (498), (501), (731), (748), (11612), (11613),
% 174.62/26.75 | | | | | | | | | | | | | | | | | | | | (11646), (11651), (11652), (11654), (11657),
% 174.62/26.75 | | | | | | | | | | | | | | | | | | | | (11696), (11709), (11713), (11714), (11740),
% 174.62/26.75 | | | | | | | | | | | | | | | | | | | | (11743), (11804), (11806) are inconsistent by
% 174.62/26.75 | | | | | | | | | | | | | | | | | | | | sub-proof #199.
% 174.62/26.75 | | | | | | | | | | | | | | | | | | | |
% 174.62/26.75 | | | | | | | | | | | | | | | | | | | End of split
% 174.62/26.75 | | | | | | | | | | | | | | | | | | |
% 174.62/26.75 | | | | | | | | | | | | | | | | | | Case 2:
% 174.62/26.75 | | | | | | | | | | | | | | | | | | |
% 174.62/26.75 | | | | | | | | | | | | | | | | | | | (11807) all_58_3 = e1
% 174.62/26.75 | | | | | | | | | | | | | | | | | | |
% 174.62/26.75 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (475), (11792), (11807) are inconsistent by
% 174.62/26.75 | | | | | | | | | | | | | | | | | | | sub-proof #460.
% 174.62/26.75 | | | | | | | | | | | | | | | | | | |
% 174.62/26.75 | | | | | | | | | | | | | | | | | | End of split
% 174.62/26.75 | | | | | | | | | | | | | | | | | |
% 174.62/26.75 | | | | | | | | | | | | | | | | | Case 2:
% 174.62/26.75 | | | | | | | | | | | | | | | | | |
% 174.62/26.75 | | | | | | | | | | | | | | | | | | (11808) all_58_2 = e0
% 174.62/26.75 | | | | | | | | | | | | | | | | | |
% 174.62/26.75 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (478), (11808) imply:
% 174.62/26.75 | | | | | | | | | | | | | | | | | | (11809) all_52_2 = e0
% 174.62/26.75 | | | | | | | | | | | | | | | | | |
% 174.62/26.75 | | | | | | | | | | | | | | | | | | SIMP: (11809) implies:
% 174.62/26.75 | | | | | | | | | | | | | | | | | | (11810) all_52_2 = e0
% 174.62/26.75 | | | | | | | | | | | | | | | | | |
% 174.62/26.75 | | | | | | | | | | | | | | | | | | REDUCE: (748), (11810) imply:
% 174.62/26.75 | | | | | | | | | | | | | | | | | | (11811) op(e1, e0) = unit
% 174.62/26.75 | | | | | | | | | | | | | | | | | |
% 174.62/26.75 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_8_1, unit, e0, e1,
% 174.62/26.75 | | | | | | | | | | | | | | | | | | simplifying with (11606), (11811) gives:
% 174.62/26.75 | | | | | | | | | | | | | | | | | | (11812) all_8_1 = unit
% 174.62/26.75 | | | | | | | | | | | | | | | | | |
% 174.62/26.75 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11645), (11812) imply:
% 174.62/26.75 | | | | | | | | | | | | | | | | | | (11813) all_63_14 = unit
% 174.62/26.75 | | | | | | | | | | | | | | | | | |
% 174.62/26.75 | | | | | | | | | | | | | | | | | | REDUCE: (11647), (11812) imply:
% 174.62/26.75 | | | | | | | | | | | | | | | | | | (11814) ~ (all_61_2 = unit)
% 174.62/26.75 | | | | | | | | | | | | | | | | | |
% 174.62/26.75 | | | | | | | | | | | | | | | | | | REDUCE: (11648), (11812) imply:
% 174.62/26.75 | | | | | | | | | | | | | | | | | | (11815) ~ (all_61_3 = unit)
% 174.62/26.75 | | | | | | | | | | | | | | | | | |
% 174.62/26.75 | | | | | | | | | | | | | | | | | | BETA: splitting (11697) gives:
% 174.62/26.75 | | | | | | | | | | | | | | | | | |
% 174.62/26.75 | | | | | | | | | | | | | | | | | | Case 1:
% 174.62/26.75 | | | | | | | | | | | | | | | | | | |
% 174.62/26.75 | | | | | | | | | | | | | | | | | | | (11816) unit = e2
% 174.62/26.75 | | | | | | | | | | | | | | | | | | |
% 174.62/26.75 | | | | | | | | | | | | | | | | | | | REDUCE: (11814), (11816) imply:
% 174.62/26.75 | | | | | | | | | | | | | | | | | | | (11817) ~ (all_61_2 = e2)
% 174.62/26.75 | | | | | | | | | | | | | | | | | | |
% 174.62/26.75 | | | | | | | | | | | | | | | | | | | REDUCE: (11815), (11816) imply:
% 174.62/26.75 | | | | | | | | | | | | | | | | | | | (11818) ~ (all_61_3 = e2)
% 174.62/26.75 | | | | | | | | | | | | | | | | | | |
% 174.62/26.75 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (211), (215), (216), (259), (263), (267), (493),
% 174.62/26.75 | | | | | | | | | | | | | | | | | | | (499), (506), (11610), (11709), (11740), (11741),
% 174.62/26.75 | | | | | | | | | | | | | | | | | | | (11742), (11817), (11818) are inconsistent by
% 174.62/26.75 | | | | | | | | | | | | | | | | | | | sub-proof #191.
% 174.62/26.75 | | | | | | | | | | | | | | | | | | |
% 174.62/26.75 | | | | | | | | | | | | | | | | | | Case 2:
% 174.62/26.75 | | | | | | | | | | | | | | | | | | |
% 174.62/26.75 | | | | | | | | | | | | | | | | | | | (11819) ~ (unit = e2)
% 174.62/26.75 | | | | | | | | | | | | | | | | | | |
% 174.62/26.75 | | | | | | | | | | | | | | | | | | | BETA: splitting (257) gives:
% 174.62/26.75 | | | | | | | | | | | | | | | | | | |
% 174.62/26.75 | | | | | | | | | | | | | | | | | | | Case 1:
% 174.62/26.75 | | | | | | | | | | | | | | | | | | | |
% 174.62/26.75 | | | | | | | | | | | | | | | | | | | | (11820) all_63_14 = e3
% 174.62/26.75 | | | | | | | | | | | | | | | | | | | |
% 174.62/26.75 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11813), (11820) imply:
% 174.62/26.75 | | | | | | | | | | | | | | | | | | | | (11821) unit = e3
% 174.62/26.75 | | | | | | | | | | | | | | | | | | | |
% 174.62/26.75 | | | | | | | | | | | | | | | | | | | | REDUCE: (11696), (11821) imply:
% 174.62/26.75 | | | | | | | | | | | | | | | | | | | | (11822) $false
% 174.62/26.75 | | | | | | | | | | | | | | | | | | | |
% 174.62/26.75 | | | | | | | | | | | | | | | | | | | | CLOSE: (11822) is inconsistent.
% 174.62/26.75 | | | | | | | | | | | | | | | | | | | |
% 174.62/26.75 | | | | | | | | | | | | | | | | | | | Case 2:
% 174.62/26.75 | | | | | | | | | | | | | | | | | | | |
% 174.62/26.75 | | | | | | | | | | | | | | | | | | | | (11823) all_63_14 = e2 | all_63_14 = e1 | all_63_14 = e0
% 174.62/26.75 | | | | | | | | | | | | | | | | | | | |
% 174.62/26.75 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11645), (11657), (11777), (11813), (11819),
% 174.62/26.75 | | | | | | | | | | | | | | | | | | | | (11823) are inconsistent by sub-proof #190.
% 174.62/26.75 | | | | | | | | | | | | | | | | | | | |
% 174.62/26.75 | | | | | | | | | | | | | | | | | | | End of split
% 174.62/26.75 | | | | | | | | | | | | | | | | | | |
% 174.62/26.75 | | | | | | | | | | | | | | | | | | End of split
% 174.62/26.75 | | | | | | | | | | | | | | | | | |
% 174.62/26.75 | | | | | | | | | | | | | | | | | End of split
% 174.62/26.75 | | | | | | | | | | | | | | | | |
% 174.62/26.75 | | | | | | | | | | | | | | | | End of split
% 174.62/26.75 | | | | | | | | | | | | | | | |
% 174.62/26.75 | | | | | | | | | | | | | | | Case 2:
% 174.62/26.75 | | | | | | | | | | | | | | | |
% 174.62/26.75 | | | | | | | | | | | | | | | | (11824) all_63_0 = e2 | all_63_0 = e1 | all_63_0 = e0
% 174.62/26.75 | | | | | | | | | | | | | | | |
% 174.62/26.75 | | | | | | | | | | | | | | | | REF_CLOSE: (588), (11700), (11735), (11737), (11824) are
% 174.62/26.75 | | | | | | | | | | | | | | | | inconsistent by sub-proof #503.
% 174.62/26.75 | | | | | | | | | | | | | | | |
% 174.62/26.75 | | | | | | | | | | | | | | | End of split
% 174.62/26.75 | | | | | | | | | | | | | | |
% 174.62/26.75 | | | | | | | | | | | | | | Case 2:
% 174.62/26.75 | | | | | | | | | | | | | | |
% 174.62/26.75 | | | | | | | | | | | | | | | (11825) all_40_2 = e1
% 174.62/26.75 | | | | | | | | | | | | | | | (11826) op(e3, e1) = all_40_1 & $i(all_40_1) & ( ~
% 174.62/26.75 | | | | | | | | | | | | | | | (all_40_1 = e0) | ( ~ (all_40_0 = e2) & op(e0,
% 174.62/26.75 | | | | | | | | | | | | | | | e3) = all_40_0 & $i(all_40_0)))
% 174.62/26.75 | | | | | | | | | | | | | | |
% 174.62/26.75 | | | | | | | | | | | | | | | ALPHA: (11826) implies:
% 174.62/26.75 | | | | | | | | | | | | | | | (11827) op(e3, e1) = all_40_1
% 174.62/26.75 | | | | | | | | | | | | | | |
% 174.62/26.75 | | | | | | | | | | | | | | | COMBINE_EQS: (553), (11825) imply:
% 174.62/26.75 | | | | | | | | | | | | | | | (11828) all_14_2 = e1
% 174.62/26.75 | | | | | | | | | | | | | | |
% 174.62/26.75 | | | | | | | | | | | | | | | COMBINE_EQS: (466), (11828) imply:
% 174.62/26.75 | | | | | | | | | | | | | | | (11829) all_48_2 = e1
% 174.62/26.75 | | | | | | | | | | | | | | |
% 174.62/26.75 | | | | | | | | | | | | | | | REDUCE: (593), (11828) imply:
% 174.62/26.75 | | | | | | | | | | | | | | | (11830) ~ (all_61_1 = e1)
% 174.62/26.75 | | | | | | | | | | | | | | |
% 174.62/26.75 | | | | | | | | | | | | | | | REDUCE: (597), (11828) imply:
% 174.62/26.75 | | | | | | | | | | | | | | | (11831) ~ (all_61_3 = e1)
% 174.62/26.75 | | | | | | | | | | | | | | |
% 174.62/26.75 | | | | | | | | | | | | | | | REDUCE: (601), (11828) imply:
% 174.62/26.75 | | | | | | | | | | | | | | | (11832) ~ (all_61_8 = e1)
% 174.62/26.75 | | | | | | | | | | | | | | |
% 174.62/26.75 | | | | | | | | | | | | | | | REDUCE: (634), (11828) imply:
% 174.62/26.75 | | | | | | | | | | | | | | | (11833) op(e1, e3) = all_65_0
% 174.62/26.75 | | | | | | | | | | | | | | |
% 174.62/26.75 | | | | | | | | | | | | | | | REDUCE: (635), (11828) imply:
% 174.62/26.75 | | | | | | | | | | | | | | | (11834) op(e1, e2) = all_65_1
% 174.62/26.75 | | | | | | | | | | | | | | |
% 174.62/26.75 | | | | | | | | | | | | | | | REDUCE: (636), (11828) imply:
% 174.62/26.75 | | | | | | | | | | | | | | | (11835) op(e1, e1) = all_65_2
% 174.62/26.75 | | | | | | | | | | | | | | |
% 174.62/26.75 | | | | | | | | | | | | | | | REDUCE: (637), (11828) imply:
% 174.62/26.75 | | | | | | | | | | | | | | | (11836) op(e1, e0) = all_65_3
% 174.62/26.75 | | | | | | | | | | | | | | |
% 174.62/26.75 | | | | | | | | | | | | | | | REDUCE: (698), (11828) imply:
% 174.62/26.75 | | | | | | | | | | | | | | | (11837) op(e3, e1) = all_65_0
% 174.62/26.75 | | | | | | | | | | | | | | |
% 174.62/26.75 | | | | | | | | | | | | | | | REDUCE: (715), (11828) imply:
% 174.62/26.75 | | | | | | | | | | | | | | | (11838) op(e2, e1) = all_65_16
% 174.62/26.75 | | | | | | | | | | | | | | |
% 174.62/26.75 | | | | | | | | | | | | | | | REDUCE: (732), (11828) imply:
% 174.62/26.75 | | | | | | | | | | | | | | | (11839) op(e1, e1) = all_65_32
% 174.62/26.75 | | | | | | | | | | | | | | |
% 174.62/26.75 | | | | | | | | | | | | | | | BETA: splitting (119) gives:
% 174.62/26.75 | | | | | | | | | | | | | | |
% 174.62/26.75 | | | | | | | | | | | | | | | Case 1:
% 174.62/26.75 | | | | | | | | | | | | | | | |
% 174.62/26.75 | | | | | | | | | | | | | | | | (11840) ~ (all_48_2 = e1)
% 174.62/26.75 | | | | | | | | | | | | | | | |
% 174.62/26.75 | | | | | | | | | | | | | | | | REDUCE: (11829), (11840) imply:
% 174.62/26.75 | | | | | | | | | | | | | | | | (11841) $false
% 174.62/26.75 | | | | | | | | | | | | | | | |
% 174.62/26.75 | | | | | | | | | | | | | | | | CLOSE: (11841) is inconsistent.
% 174.62/26.75 | | | | | | | | | | | | | | | |
% 174.62/26.75 | | | | | | | | | | | | | | | Case 2:
% 174.62/26.75 | | | | | | | | | | | | | | | |
% 174.62/26.75 | | | | | | | | | | | | | | | | (11842) op(e3, e1) = all_48_1 & $i(all_48_1) & ( ~
% 174.62/26.75 | | | | | | | | | | | | | | | | (all_48_1 = e2) | ( ~ (all_48_0 = e0) & op(e2,
% 174.62/26.75 | | | | | | | | | | | | | | | | e3) = all_48_0 & $i(all_48_0)))
% 174.62/26.75 | | | | | | | | | | | | | | | |
% 174.62/26.75 | | | | | | | | | | | | | | | | ALPHA: (11842) implies:
% 174.62/26.75 | | | | | | | | | | | | | | | | (11843) op(e3, e1) = all_48_1
% 174.62/26.75 | | | | | | | | | | | | | | | |
% 174.62/26.75 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_8_1, all_65_3, e0, e1,
% 174.62/26.75 | | | | | | | | | | | | | | | | simplifying with (11606), (11836) gives:
% 174.62/26.75 | | | | | | | | | | | | | | | | (11844) all_65_3 = all_8_1
% 174.62/26.75 | | | | | | | | | | | | | | | |
% 174.62/26.75 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e0, all_65_2, e1, e1,
% 174.62/26.75 | | | | | | | | | | | | | | | | simplifying with (11622), (11835) gives:
% 174.62/26.75 | | | | | | | | | | | | | | | | (11845) all_65_2 = e0
% 174.62/26.75 | | | | | | | | | | | | | | | |
% 174.62/26.75 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_32, all_65_2, e1,
% 174.62/26.75 | | | | | | | | | | | | | | | | e1, simplifying with (11835), (11839) gives:
% 174.62/26.75 | | | | | | | | | | | | | | | | (11846) all_65_2 = all_65_32
% 174.62/26.75 | | | | | | | | | | | | | | | |
% 174.62/26.75 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_6, all_65_1, e2,
% 174.62/26.75 | | | | | | | | | | | | | | | | e1, simplifying with (229), (11834) gives:
% 174.62/26.75 | | | | | | | | | | | | | | | | (11847) all_65_1 = all_61_6
% 174.62/26.75 | | | | | | | | | | | | | | | |
% 174.62/26.75 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_2, all_65_0, e3,
% 174.62/26.75 | | | | | | | | | | | | | | | | e1, simplifying with (230), (11833) gives:
% 174.62/26.75 | | | | | | | | | | | | | | | | (11848) all_65_0 = all_61_2
% 174.62/26.75 | | | | | | | | | | | | | | | |
% 174.62/26.75 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_9, all_65_16, e1,
% 174.62/26.75 | | | | | | | | | | | | | | | | e2, simplifying with (232), (11838) gives:
% 174.62/26.75 | | | | | | | | | | | | | | | | (11849) all_65_16 = all_61_9
% 174.62/26.75 | | | | | | | | | | | | | | | |
% 174.62/26.75 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_8, all_48_1, e1,
% 174.62/26.75 | | | | | | | | | | | | | | | | e3, simplifying with (236), (11843) gives:
% 174.62/26.75 | | | | | | | | | | | | | | | | (11850) all_61_8 = all_48_1
% 174.62/26.75 | | | | | | | | | | | | | | | |
% 174.62/26.75 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_8, all_65_0, e1,
% 174.62/26.75 | | | | | | | | | | | | | | | | e3, simplifying with (236), (11837) gives:
% 174.62/26.75 | | | | | | | | | | | | | | | | (11851) all_65_0 = all_61_8
% 174.62/26.75 | | | | | | | | | | | | | | | |
% 174.62/26.75 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_40_1, all_65_0, e1,
% 174.62/26.75 | | | | | | | | | | | | | | | | e3, simplifying with (11827), (11837) gives:
% 174.62/26.75 | | | | | | | | | | | | | | | | (11852) all_65_0 = all_40_1
% 174.62/26.75 | | | | | | | | | | | | | | | |
% 174.62/26.75 | | | | | | | | | | | | | | | | COMBINE_EQS: (11848), (11852) imply:
% 174.62/26.75 | | | | | | | | | | | | | | | | (11853) all_61_2 = all_40_1
% 174.62/26.75 | | | | | | | | | | | | | | | |
% 174.62/26.75 | | | | | | | | | | | | | | | | SIMP: (11853) implies:
% 174.62/26.75 | | | | | | | | | | | | | | | | (11854) all_61_2 = all_40_1
% 174.62/26.75 | | | | | | | | | | | | | | | |
% 174.62/26.75 | | | | | | | | | | | | | | | | COMBINE_EQS: (11851), (11852) imply:
% 174.62/26.75 | | | | | | | | | | | | | | | | (11855) all_61_8 = all_40_1
% 174.62/26.75 | | | | | | | | | | | | | | | |
% 174.62/26.75 | | | | | | | | | | | | | | | | SIMP: (11855) implies:
% 174.62/26.75 | | | | | | | | | | | | | | | | (11856) all_61_8 = all_40_1
% 174.62/26.75 | | | | | | | | | | | | | | | |
% 174.62/26.75 | | | | | | | | | | | | | | | | COMBINE_EQS: (11845), (11846) imply:
% 174.62/26.75 | | | | | | | | | | | | | | | | (11857) all_65_32 = e0
% 174.62/26.75 | | | | | | | | | | | | | | | |
% 174.62/26.75 | | | | | | | | | | | | | | | | COMBINE_EQS: (11850), (11856) imply:
% 174.62/26.75 | | | | | | | | | | | | | | | | (11858) all_48_1 = all_40_1
% 174.62/26.75 | | | | | | | | | | | | | | | |
% 174.62/26.75 | | | | | | | | | | | | | | | | COMBINE_EQS: (499), (11854) imply:
% 174.62/26.75 | | | | | | | | | | | | | | | | (11859) all_63_8 = all_40_1
% 174.62/26.75 | | | | | | | | | | | | | | | |
% 174.62/26.75 | | | | | | | | | | | | | | | | REDUCE: (216), (11854) imply:
% 174.62/26.75 | | | | | | | | | | | | | | | | (11860) ~ (all_61_1 = all_40_1)
% 174.62/26.75 | | | | | | | | | | | | | | | |
% 174.62/26.75 | | | | | | | | | | | | | | | | REDUCE: (211), (11854) imply:
% 174.62/26.75 | | | | | | | | | | | | | | | | (11861) ~ (all_61_3 = all_40_1)
% 174.62/26.75 | | | | | | | | | | | | | | | |
% 174.62/26.75 | | | | | | | | | | | | | | | | SIMP: (11861) implies:
% 174.62/26.75 | | | | | | | | | | | | | | | | (11862) ~ (all_61_3 = all_40_1)
% 174.62/26.75 | | | | | | | | | | | | | | | |
% 174.62/26.75 | | | | | | | | | | | | | | | | REDUCE: (11651), (11856) imply:
% 174.62/26.75 | | | | | | | | | | | | | | | | (11863) ~ (all_40_1 = all_8_1)
% 174.62/26.75 | | | | | | | | | | | | | | | |
% 174.62/26.75 | | | | | | | | | | | | | | | | REDUCE: (11832), (11856) imply:
% 174.62/26.75 | | | | | | | | | | | | | | | | (11864) ~ (all_40_1 = e1)
% 174.62/26.75 | | | | | | | | | | | | | | | |
% 174.62/26.75 | | | | | | | | | | | | | | | | REDUCE: (11612), (11856) imply:
% 174.62/26.75 | | | | | | | | | | | | | | | | (11865) ~ (all_40_1 = e0)
% 174.62/26.75 | | | | | | | | | | | | | | | |
% 174.62/26.75 | | | | | | | | | | | | | | | | REDUCE: (668), (11854) imply:
% 174.62/26.75 | | | | | | | | | | | | | | | | (11866) op(all_40_1, e1) = all_65_34
% 174.62/26.75 | | | | | | | | | | | | | | | |
% 174.62/26.75 | | | | | | | | | | | | | | | | REDUCE: (11658), (11856) imply:
% 174.62/26.75 | | | | | | | | | | | | | | | | (11867) op(all_40_1, e1) = all_61_12
% 174.62/26.75 | | | | | | | | | | | | | | | |
% 174.62/26.75 | | | | | | | | | | | | | | | | REDUCE: (11672), (11854) imply:
% 174.62/26.75 | | | | | | | | | | | | | | | | (11868) op(e1, all_40_1) = all_61_3
% 174.62/26.75 | | | | | | | | | | | | | | | |
% 174.62/26.75 | | | | | | | | | | | | | | | | REDUCE: (734), (11856) imply:
% 174.62/26.75 | | | | | | | | | | | | | | | | (11869) op(e1, all_40_1) = all_65_34
% 174.62/26.75 | | | | | | | | | | | | | | | |
% 174.62/26.75 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_3, all_65_34,
% 174.62/26.75 | | | | | | | | | | | | | | | | all_40_1, e1, simplifying with (11868), (11869)
% 174.62/26.75 | | | | | | | | | | | | | | | | gives:
% 174.62/26.75 | | | | | | | | | | | | | | | | (11870) all_65_34 = all_61_3
% 174.62/26.75 | | | | | | | | | | | | | | | |
% 174.62/26.75 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_12, all_65_34, e1,
% 174.62/26.75 | | | | | | | | | | | | | | | | all_40_1, simplifying with (11866), (11867) gives:
% 174.62/26.75 | | | | | | | | | | | | | | | | (11871) all_65_34 = all_61_12
% 174.62/26.75 | | | | | | | | | | | | | | | |
% 174.62/26.75 | | | | | | | | | | | | | | | | COMBINE_EQS: (11870), (11871) imply:
% 174.62/26.75 | | | | | | | | | | | | | | | | (11872) all_61_3 = all_61_12
% 174.62/26.75 | | | | | | | | | | | | | | | |
% 174.62/26.75 | | | | | | | | | | | | | | | | SIMP: (11872) implies:
% 174.62/26.75 | | | | | | | | | | | | | | | | (11873) all_61_3 = all_61_12
% 174.62/26.75 | | | | | | | | | | | | | | | |
% 174.62/26.75 | | | | | | | | | | | | | | | | COMBINE_EQS: (506), (11873) imply:
% 174.62/26.75 | | | | | | | | | | | | | | | | (11874) all_63_12 = all_61_12
% 174.62/26.75 | | | | | | | | | | | | | | | |
% 174.62/26.75 | | | | | | | | | | | | | | | | REDUCE: (215), (11873) imply:
% 174.62/26.75 | | | | | | | | | | | | | | | | (11875) ~ (all_61_1 = all_61_12)
% 174.62/26.75 | | | | | | | | | | | | | | | |
% 174.62/26.75 | | | | | | | | | | | | | | | | REDUCE: (11862), (11873) imply:
% 174.62/26.75 | | | | | | | | | | | | | | | | (11876) ~ (all_61_12 = all_40_1)
% 174.62/26.75 | | | | | | | | | | | | | | | |
% 174.62/26.75 | | | | | | | | | | | | | | | | REDUCE: (11831), (11873) imply:
% 174.62/26.75 | | | | | | | | | | | | | | | | (11877) ~ (all_61_12 = e1)
% 174.62/26.75 | | | | | | | | | | | | | | | |
% 174.62/26.75 | | | | | | | | | | | | | | | | BETA: splitting (110) gives:
% 174.62/26.75 | | | | | | | | | | | | | | | |
% 174.62/26.75 | | | | | | | | | | | | | | | | Case 1:
% 174.62/26.75 | | | | | | | | | | | | | | | | |
% 174.62/26.75 | | | | | | | | | | | | | | | | | (11878) ~ (all_42_2 = e1)
% 174.62/26.75 | | | | | | | | | | | | | | | | |
% 174.62/26.75 | | | | | | | | | | | | | | | | | REDUCE: (532), (11878) imply:
% 174.62/26.75 | | | | | | | | | | | | | | | | | (11879) ~ (all_20_2 = e1)
% 174.62/26.75 | | | | | | | | | | | | | | | | |
% 174.62/26.75 | | | | | | | | | | | | | | | | | BETA: splitting (256) gives:
% 174.62/26.75 | | | | | | | | | | | | | | | | |
% 174.62/26.75 | | | | | | | | | | | | | | | | | Case 1:
% 174.62/26.75 | | | | | | | | | | | | | | | | | |
% 174.62/26.75 | | | | | | | | | | | | | | | | | | (11880) all_63_15 = e3
% 174.62/26.75 | | | | | | | | | | | | | | | | | |
% 174.62/26.75 | | | | | | | | | | | | | | | | | | REF_CLOSE: (422), (11733), (11880) are inconsistent by
% 174.62/26.75 | | | | | | | | | | | | | | | | | | sub-proof #501.
% 174.62/26.75 | | | | | | | | | | | | | | | | | |
% 174.62/26.75 | | | | | | | | | | | | | | | | | Case 2:
% 174.62/26.75 | | | | | | | | | | | | | | | | | |
% 174.62/26.75 | | | | | | | | | | | | | | | | | | (11881) all_63_15 = e2 | all_63_15 = e1 | all_63_15 = e0
% 174.62/26.75 | | | | | | | | | | | | | | | | | |
% 174.62/26.75 | | | | | | | | | | | | | | | | | | BETA: splitting (11881) gives:
% 174.62/26.75 | | | | | | | | | | | | | | | | | |
% 174.62/26.75 | | | | | | | | | | | | | | | | | | Case 1:
% 174.62/26.75 | | | | | | | | | | | | | | | | | | |
% 174.62/26.75 | | | | | | | | | | | | | | | | | | | (11882) all_63_15 = e2
% 174.62/26.75 | | | | | | | | | | | | | | | | | | |
% 174.62/26.75 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (422), (11701), (11882) are inconsistent by
% 174.62/26.75 | | | | | | | | | | | | | | | | | | | sub-proof #500.
% 174.62/26.75 | | | | | | | | | | | | | | | | | | |
% 174.62/26.75 | | | | | | | | | | | | | | | | | | Case 2:
% 174.62/26.75 | | | | | | | | | | | | | | | | | | |
% 174.62/26.75 | | | | | | | | | | | | | | | | | | | (11883) all_63_15 = e1 | all_63_15 = e0
% 174.62/26.75 | | | | | | | | | | | | | | | | | | |
% 174.62/26.75 | | | | | | | | | | | | | | | | | | | BETA: splitting (11883) gives:
% 174.62/26.75 | | | | | | | | | | | | | | | | | | |
% 174.62/26.75 | | | | | | | | | | | | | | | | | | | Case 1:
% 174.62/26.75 | | | | | | | | | | | | | | | | | | | |
% 174.62/26.75 | | | | | | | | | | | | | | | | | | | | (11884) all_63_15 = e1
% 174.62/26.75 | | | | | | | | | | | | | | | | | | | |
% 174.62/26.75 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (422), (11879), (11884) are inconsistent by
% 174.62/26.75 | | | | | | | | | | | | | | | | | | | | sub-proof #499.
% 174.62/26.75 | | | | | | | | | | | | | | | | | | | |
% 174.62/26.75 | | | | | | | | | | | | | | | | | | | Case 2:
% 174.62/26.75 | | | | | | | | | | | | | | | | | | | |
% 174.62/26.75 | | | | | | | | | | | | | | | | | | | | (11885) all_63_15 = e0
% 174.62/26.75 | | | | | | | | | | | | | | | | | | | |
% 174.62/26.75 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (422), (11885) imply:
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | (11886) all_20_2 = e0
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | SIMP: (11886) implies:
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | (11887) all_20_2 = e0
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | REDUCE: (625), (11887) imply:
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | (11888) ~ (all_61_12 = e0)
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | REDUCE: (626), (11887) imply:
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | (11889) ~ (all_61_13 = e0)
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | REDUCE: (11656), (11887) imply:
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | (11890) ~ (all_8_1 = e0)
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | REDUCE: (11662), (11887) imply:
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | (11891) op(all_8_1, e1) = e0
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | REDUCE: (730), (11887) imply:
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | (11892) op(e2, e0) = all_65_31
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | REDUCE: (11689), (11887) imply:
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | (11893) op(e1, e0) = all_65_77
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_8_1, all_65_77, e0,
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | e1, simplifying with (11606), (11893) gives:
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | (11894) all_65_77 = all_8_1
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_13, all_65_31, e0,
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | e2, simplifying with (231), (11892) gives:
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | (11895) all_65_31 = all_61_13
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | BETA: splitting (157) gives:
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | (11896) ~ (all_58_3 = e1)
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | REDUCE: (475), (11896) imply:
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | (11897) ~ (all_52_3 = e1)
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (160) gives:
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | (11898) ~ (all_58_2 = e0)
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (478), (11898) imply:
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | (11899) ~ (all_52_2 = e0)
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (161) gives:
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | (11900) ~ (all_58_2 = e2)
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (478), (11900) imply:
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | (11901) ~ (all_52_2 = e2)
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (162) gives:
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | (11902) ~ (all_58_2 = e3)
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (478), (11902) imply:
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | (11903) ~ (all_52_2 = e3)
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (50), (149), (231), (538), (748), (11622),
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | (11714), (11899), (11901), (11903) are
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #203.
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | (11904) all_58_0 = e1
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (484), (11904) imply:
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | (11905) all_52_0 = e1
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11905) implies:
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | (11906) all_52_0 = e1
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (714), (11906) imply:
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | (11907) op(e3, e1) = unit
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_40_1, unit, e1, e3,
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (11827), (11907) gives:
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | (11908) all_40_1 = unit
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11860), (11908) imply:
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | (11909) ~ (all_61_1 = unit)
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11876), (11908) imply:
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | (11910) ~ (all_61_12 = unit)
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11863), (11908) imply:
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | (11911) ~ (all_8_1 = unit)
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11911) implies:
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | (11912) ~ (all_8_1 = unit)
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11864), (11908) imply:
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | (11913) ~ (unit = e1)
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11697) gives:
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | (11914) unit = e2
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11910), (11914) imply:
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | (11915) ~ (all_61_12 = e2)
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11912), (11914) imply:
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | (11916) ~ (all_8_1 = e2)
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11607) gives:
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | (11917) ~ (all_8_1 = e3)
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (257) gives:
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11918) all_63_14 = e3
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11645), (11918) imply:
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11919) all_8_1 = e3
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11917), (11919) imply:
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11920) $false
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (11920) is inconsistent.
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11921) all_63_14 = e2 | all_63_14 = e1 | all_63_14 = e0
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11921) gives:
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11922) all_63_14 = e2
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11645), (11922) imply:
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11923) all_8_1 = e2
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11916), (11923) imply:
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11924) $false
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (11924) is inconsistent.
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11925) all_63_14 = e1 | all_63_14 = e0
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (268) gives:
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11926) all_63_3 = e3
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (491), (11926) imply:
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11927) all_61_12 = e3
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (180), (11927) imply:
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11928) ~ (all_61_13 = e3)
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11928) implies:
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11929) ~ (all_61_13 = e3)
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (264) gives:
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11930) all_63_7 = e3
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (498), (11930) imply:
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11931) all_61_13 = e3
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11929), (11931) imply:
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11932) $false
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (11932) is inconsistent.
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11933) all_63_7 = e2 | all_63_7 = e1 | all_63_7 = e0
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11933) gives:
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11934) all_63_7 = e2
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (498), (11934) imply:
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11935) all_61_13 = e2
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11714), (11935) imply:
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11936) $false
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (11936) is inconsistent.
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11937) all_63_7 = e1 | all_63_7 = e0
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11925) gives:
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11938) all_63_14 = e1
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11645), (11938) imply:
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11939) all_8_1 = e1
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11654), (11939) imply:
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11940) ~ (all_61_13 = e1)
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (498), (11889), (11937), (11940) are inconsistent
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #475.
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11941) all_63_14 = e0
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11645), (11941) imply:
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11942) all_8_1 = e0
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11657), (11942) imply:
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11943) $false
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (11943) is inconsistent.
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11944) ~ (all_63_3 = e3)
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (491), (11944) imply:
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11945) ~ (all_61_12 = e3)
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (259), (11874), (11877), (11888), (11915), (11945)
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #188.
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | (11946) all_8_1 = e3
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11653), (11946) imply:
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | (11947) ~ (all_61_12 = e3)
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (259), (11874), (11877), (11888), (11915), (11947)
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #188.
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | (11948) unit = e1 | unit = e0
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (259), (263), (267), (268), (491), (493), (11709),
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | (11830), (11859), (11860), (11864), (11865),
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | (11874), (11875), (11876), (11877), (11909),
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | (11910), (11913), (11948) are inconsistent by
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #186.
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | (11949) all_58_2 = e2
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | (11950) all_58_1 = e1
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (50), (229), (232), (478), (481), (731),
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | (738), (748), (11613), (11622), (11659), (11673),
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | (11697), (11713), (11949), (11950) are
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #183.
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | (11951) all_58_3 = e1
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (475), (11897), (11951) are inconsistent by
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | sub-proof #460.
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | End of split
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | (11952) all_58_3 = e1
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | (11953) all_58_2 = e0
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (478), (11953) imply:
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | (11954) all_52_2 = e0
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (475), (11952) imply:
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | (11955) all_52_3 = e1
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | REDUCE: (633), (11954), (11955) imply:
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | (11956) ~ (e1 = e0)
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | REDUCE: (748), (11954) imply:
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | (11957) op(e1, e0) = unit
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (18), (50), (11606), (11891), (11957) are
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #182.
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | End of split
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | End of split
% 174.62/26.76 | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | End of split
% 174.62/26.76 | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | End of split
% 174.62/26.76 | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | Case 2:
% 174.62/26.76 | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | (11958) all_42_2 = e1
% 174.62/26.76 | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | COMBINE_EQS: (532), (11958) imply:
% 174.62/26.76 | | | | | | | | | | | | | | | | | (11959) all_20_2 = e1
% 174.62/26.76 | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | SIMP: (11959) implies:
% 174.62/26.76 | | | | | | | | | | | | | | | | | (11960) all_20_2 = e1
% 174.62/26.76 | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | REDUCE: (626), (11960) imply:
% 174.62/26.76 | | | | | | | | | | | | | | | | | (11961) ~ (all_61_13 = e1)
% 174.62/26.76 | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | REDUCE: (11656), (11960) imply:
% 174.62/26.76 | | | | | | | | | | | | | | | | | (11962) ~ (all_8_1 = e1)
% 174.62/26.76 | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | SIMP: (11962) implies:
% 174.62/26.76 | | | | | | | | | | | | | | | | | (11963) ~ (all_8_1 = e1)
% 174.62/26.76 | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | REDUCE: (695), (11960) imply:
% 174.62/26.76 | | | | | | | | | | | | | | | | | (11964) op(e1, e2) = all_65_75
% 174.62/26.76 | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | REDUCE: (697), (11960) imply:
% 174.62/26.76 | | | | | | | | | | | | | | | | | (11965) op(e1, e0) = all_65_78
% 174.62/26.76 | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | REDUCE: (730), (11960) imply:
% 174.62/26.76 | | | | | | | | | | | | | | | | | (11966) op(e2, e1) = all_65_31
% 174.62/26.76 | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | REDUCE: (11689), (11960) imply:
% 174.62/26.76 | | | | | | | | | | | | | | | | | (11967) op(e1, e1) = all_65_77
% 174.62/26.76 | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | REDUCE: (76), (11960) imply:
% 174.62/26.76 | | | | | | | | | | | | | | | | | (11968) op(e0, e0) = e1
% 174.62/26.76 | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_8_1, all_65_78, e0,
% 174.62/26.76 | | | | | | | | | | | | | | | | | e1, simplifying with (11606), (11965) gives:
% 174.62/26.76 | | | | | | | | | | | | | | | | | (11969) all_65_78 = all_8_1
% 174.62/26.76 | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e0, all_65_77, e1, e1,
% 174.62/26.76 | | | | | | | | | | | | | | | | | simplifying with (11622), (11967) gives:
% 174.62/26.76 | | | | | | | | | | | | | | | | | (11970) all_65_77 = e0
% 174.62/26.76 | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_6, all_65_75, e2,
% 174.62/26.76 | | | | | | | | | | | | | | | | | e1, simplifying with (229), (11964) gives:
% 174.62/26.76 | | | | | | | | | | | | | | | | | (11971) all_65_75 = all_61_6
% 174.62/26.76 | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_9, all_65_31, e1,
% 174.62/26.76 | | | | | | | | | | | | | | | | | e2, simplifying with (232), (11966) gives:
% 174.62/26.76 | | | | | | | | | | | | | | | | | (11972) all_65_31 = all_61_9
% 174.62/26.76 | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | BETA: splitting (163) gives:
% 174.62/26.76 | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | Case 1:
% 174.62/26.76 | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | (11973) ~ (all_58_1 = e0)
% 174.62/26.76 | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | REDUCE: (481), (11973) imply:
% 174.62/26.76 | | | | | | | | | | | | | | | | | | (11974) ~ (all_52_1 = e0)
% 174.62/26.76 | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | BETA: splitting (164) gives:
% 174.62/26.76 | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | Case 1:
% 174.62/26.76 | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | (11975) ~ (all_58_1 = e1)
% 174.62/26.76 | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | REDUCE: (481), (11975) imply:
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | (11976) ~ (all_52_1 = e1)
% 174.62/26.76 | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | BETA: splitting (161) gives:
% 174.62/26.76 | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | Case 1:
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | (11977) ~ (all_58_2 = e2)
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | REDUCE: (478), (11977) imply:
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | (11978) ~ (all_52_2 = e2)
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | BETA: splitting (160) gives:
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | (11979) ~ (all_58_2 = e0)
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | REDUCE: (478), (11979) imply:
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | (11980) ~ (all_52_2 = e0)
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (167) gives:
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | (11981) ~ (all_58_0 = e1)
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (484), (11981) imply:
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | (11982) ~ (all_52_0 = e1)
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (50), (149), (162), (478), (484), (538),
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | (748), (11622), (11968), (11978), (11980), (11982)
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #181.
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | (11983) all_58_2 = e3
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | (11984) all_58_0 = e1
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (484), (11984) imply:
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | (11985) all_52_0 = e1
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | SIMP: (11985) implies:
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | (11986) all_52_0 = e1
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (478), (11983) imply:
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | (11987) all_52_2 = e3
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | SIMP: (11987) implies:
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | (11988) all_52_2 = e3
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (628), (11986) imply:
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | (11989) ~ (all_52_1 = e1)
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (630), (11986) imply:
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | (11990) ~ (all_52_3 = e1)
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | SIMP: (11990) implies:
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | (11991) ~ (all_52_3 = e1)
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (631), (11988) imply:
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | (11992) ~ (all_52_1 = e3)
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (633), (11988) imply:
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | (11993) ~ (all_52_3 = e3)
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | SIMP: (11993) implies:
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | (11994) ~ (all_52_3 = e3)
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (50), (148), (150), (536), (539), (632), (731),
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | (765), (11720), (11968), (11974), (11976),
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | (11991), (11992), (11994) are inconsistent by
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | sub-proof #453.
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | End of split
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | (11995) all_58_2 = e0
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (478), (11995) imply:
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | (11996) all_52_2 = e0
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | SIMP: (11996) implies:
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | (11997) all_52_2 = e0
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | REDUCE: (748), (11997) imply:
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | (11998) op(e1, e0) = unit
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_8_1, unit, e0, e1,
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | simplifying with (11606), (11998) gives:
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | (11999) all_8_1 = unit
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11645), (11999) imply:
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | (12000) all_63_14 = unit
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | REDUCE: (11653), (11999) imply:
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | (12001) ~ (all_61_12 = unit)
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | REDUCE: (11863), (11999) imply:
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | (12002) ~ (all_40_1 = unit)
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (257) gives:
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | (12003) all_63_14 = e3
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12000), (12003) imply:
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | (12004) unit = e3
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11696), (12004) imply:
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | (12005) $false
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (12005) is inconsistent.
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | (12006) all_63_14 = e2 | all_63_14 = e1 | all_63_14 = e0
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11697) gives:
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | (12007) unit = e2
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12001), (12007) imply:
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | (12008) ~ (all_61_12 = e2)
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12002), (12007) imply:
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | (12009) ~ (all_40_1 = e2)
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (263) gives:
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | (12010) all_63_8 = e3
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11859), (12010) imply:
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | (12011) all_40_1 = e3
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11860), (12011) imply:
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | (12012) ~ (all_61_1 = e3)
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11876), (12011) imply:
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | (12013) ~ (all_61_12 = e3)
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (267) gives:
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | (12014) all_63_4 = e3
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (493), (12014) imply:
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | (12015) all_61_1 = e3
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12012), (12015) imply:
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | (12016) $false
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (12016) is inconsistent.
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | (12017) all_63_4 = e2 | all_63_4 = e1 | all_63_4 = e0
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (215), (259), (493), (506), (11709), (11830),
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | (11831), (11874), (12008), (12013), (12017) are
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #179.
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | (12018) all_63_8 = e2 | all_63_8 = e1 | all_63_8 = e0
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11859), (11864), (11865), (12009), (12018) are
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #487.
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | (12019) ~ (unit = e2)
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11645), (11657), (11963), (12000), (12006),
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | | (12019) are inconsistent by sub-proof #190.
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | | End of split
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | End of split
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | Case 2:
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | (12020) all_58_1 = e1
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (481), (11976), (12020) are inconsistent by
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | | sub-proof #424.
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | End of split
% 174.62/26.76 | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | Case 2:
% 174.62/26.76 | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | (12021) all_58_2 = e2
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | (12022) all_58_1 = e1
% 174.62/26.76 | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (481), (12022) imply:
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | (12023) all_52_1 = e1
% 174.62/26.76 | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | SIMP: (12023) implies:
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | (12024) all_52_1 = e1
% 174.62/26.76 | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (478), (12021) imply:
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | (12025) all_52_2 = e2
% 174.62/26.76 | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | SIMP: (12025) implies:
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | (12026) all_52_2 = e2
% 174.62/26.76 | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | REDUCE: (731), (12024) imply:
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | (12027) op(e2, e1) = unit
% 174.62/26.76 | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | REDUCE: (748), (12026) imply:
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | (12028) op(e1, e2) = unit
% 174.62/26.76 | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (50), (229), (232), (738), (11613), (11622),
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | (11659), (11673), (11697), (11713), (12027),
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | (12028) are inconsistent by sub-proof #185.
% 174.62/26.76 | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | End of split
% 174.62/26.76 | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | Case 2:
% 174.62/26.76 | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | (12029) all_58_1 = e0
% 174.62/26.76 | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (481), (12029) imply:
% 174.62/26.76 | | | | | | | | | | | | | | | | | | (12030) all_52_1 = e0
% 174.62/26.76 | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | SIMP: (12030) implies:
% 174.62/26.76 | | | | | | | | | | | | | | | | | | (12031) all_52_1 = e0
% 174.62/26.76 | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | REDUCE: (731), (12031) imply:
% 174.62/26.76 | | | | | | | | | | | | | | | | | | (12032) op(e2, e0) = unit
% 174.62/26.76 | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_13, unit, e0, e2,
% 174.62/26.76 | | | | | | | | | | | | | | | | | | simplifying with (231), (12032) gives:
% 174.62/26.76 | | | | | | | | | | | | | | | | | | (12033) all_61_13 = unit
% 174.62/26.76 | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | REDUCE: (212), (12033) imply:
% 174.62/26.76 | | | | | | | | | | | | | | | | | | (12034) ~ (all_61_1 = unit)
% 174.62/26.76 | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | REDUCE: (180), (12033) imply:
% 174.62/26.76 | | | | | | | | | | | | | | | | | | (12035) ~ (all_61_12 = unit)
% 174.62/26.76 | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | REDUCE: (11714), (12033) imply:
% 174.62/26.76 | | | | | | | | | | | | | | | | | | (12036) ~ (unit = e2)
% 174.62/26.76 | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | REDUCE: (11961), (12033) imply:
% 174.62/26.76 | | | | | | | | | | | | | | | | | | (12037) ~ (unit = e1)
% 174.62/26.76 | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | BETA: splitting (11697) gives:
% 174.62/26.76 | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | Case 1:
% 174.62/26.76 | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | (12038) unit = e2
% 174.62/26.76 | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | REDUCE: (12036), (12038) imply:
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | (12039) $false
% 174.62/26.76 | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | CLOSE: (12039) is inconsistent.
% 174.62/26.76 | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | Case 2:
% 174.62/26.76 | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | (12040) unit = e1 | unit = e0
% 174.62/26.76 | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (259), (263), (267), (268), (491), (493), (11709),
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | (11830), (11859), (11860), (11864), (11865),
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | (11874), (11875), (11876), (11877), (12034),
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | (12035), (12037), (12040) are inconsistent by
% 174.62/26.76 | | | | | | | | | | | | | | | | | | | sub-proof #186.
% 174.62/26.76 | | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | | End of split
% 174.62/26.76 | | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | | End of split
% 174.62/26.76 | | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | | End of split
% 174.62/26.76 | | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | | End of split
% 174.62/26.76 | | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | | End of split
% 174.62/26.76 | | | | | | | | | | | | | |
% 174.62/26.76 | | | | | | | | | | | | | Case 2:
% 174.62/26.76 | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | (12041) all_36_2 = e0
% 174.62/26.77 | | | | | | | | | | | | | | (12042) op(e3, e0) = all_36_1 & $i(all_36_1) & ( ~
% 174.62/26.77 | | | | | | | | | | | | | | (all_36_1 = e2) | ( ~ (all_36_0 = e1) & op(e2,
% 174.62/26.77 | | | | | | | | | | | | | | e3) = all_36_0 & $i(all_36_0)))
% 174.62/26.77 | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | ALPHA: (12042) implies:
% 174.62/26.77 | | | | | | | | | | | | | | (12043) op(e3, e0) = all_36_1
% 174.62/26.77 | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | COMBINE_EQS: (557), (12041) imply:
% 174.62/26.77 | | | | | | | | | | | | | | (12044) all_14_2 = e0
% 174.62/26.77 | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | SIMP: (12044) implies:
% 174.62/26.77 | | | | | | | | | | | | | | (12045) all_14_2 = e0
% 174.62/26.77 | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | COMBINE_EQS: (549), (12045) imply:
% 174.62/26.77 | | | | | | | | | | | | | | (12046) all_44_2 = e0
% 174.62/26.77 | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | REDUCE: (593), (12045) imply:
% 174.62/26.77 | | | | | | | | | | | | | | (12047) ~ (all_61_1 = e0)
% 174.62/26.77 | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | REDUCE: (599), (12045) imply:
% 174.62/26.77 | | | | | | | | | | | | | | (12048) ~ (all_61_4 = e0)
% 174.62/26.77 | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | REDUCE: (603), (12045) imply:
% 174.62/26.77 | | | | | | | | | | | | | | (12049) ~ (all_61_12 = e0)
% 174.62/26.77 | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | REDUCE: (634), (12045) imply:
% 174.62/26.77 | | | | | | | | | | | | | | (12050) op(e0, e3) = all_65_0
% 174.62/26.77 | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | REDUCE: (637), (12045) imply:
% 174.62/26.77 | | | | | | | | | | | | | | (12051) op(e0, e0) = all_65_3
% 174.62/26.77 | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | REDUCE: (698), (12045) imply:
% 174.62/26.77 | | | | | | | | | | | | | | (12052) op(e3, e0) = all_65_0
% 174.62/26.77 | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | REDUCE: (67), (12045) imply:
% 174.62/26.77 | | | | | | | | | | | | | | (12053) op(e3, e3) = e0
% 174.62/26.77 | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | REDUCE: (715), (12045) imply:
% 174.62/26.77 | | | | | | | | | | | | | | (12054) op(e2, e0) = all_65_16
% 174.62/26.77 | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | REDUCE: (732), (12045) imply:
% 174.62/26.77 | | | | | | | | | | | | | | (12055) op(e1, e0) = all_65_32
% 174.62/26.77 | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | REDUCE: (749), (12045) imply:
% 174.62/26.77 | | | | | | | | | | | | | | (12056) op(e0, e0) = all_65_49
% 174.62/26.77 | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | BETA: splitting (113) gives:
% 174.62/26.77 | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | Case 1:
% 174.62/26.77 | | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | | (12057) ~ (all_44_2 = e0)
% 174.62/26.77 | | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | | REDUCE: (12046), (12057) imply:
% 174.62/26.77 | | | | | | | | | | | | | | | (12058) $false
% 174.62/26.77 | | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | | CLOSE: (12058) is inconsistent.
% 174.62/26.77 | | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | Case 2:
% 174.62/26.77 | | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | | (12059) op(e3, e0) = all_44_1 & $i(all_44_1) & ( ~
% 174.62/26.77 | | | | | | | | | | | | | | | (all_44_1 = e1) | ( ~ (all_44_0 = e2) & op(e1,
% 174.62/26.77 | | | | | | | | | | | | | | | e3) = all_44_0 & $i(all_44_0)))
% 174.62/26.77 | | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | | ALPHA: (12059) implies:
% 174.62/26.77 | | | | | | | | | | | | | | | (12060) op(e3, e0) = all_44_1
% 174.62/26.77 | | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_20_2, all_65_3, e0,
% 174.62/26.77 | | | | | | | | | | | | | | | e0, simplifying with (76), (12051) gives:
% 174.62/26.77 | | | | | | | | | | | | | | | (12061) all_65_3 = all_20_2
% 174.62/26.77 | | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_49, all_65_3, e0,
% 174.62/26.77 | | | | | | | | | | | | | | | e0, simplifying with (12051), (12056) gives:
% 174.62/26.77 | | | | | | | | | | | | | | | (12062) all_65_3 = all_65_49
% 174.62/26.77 | | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_3, all_65_0, e3,
% 174.62/26.77 | | | | | | | | | | | | | | | e0, simplifying with (226), (12050) gives:
% 174.62/26.77 | | | | | | | | | | | | | | | (12063) all_65_0 = all_61_3
% 174.62/26.77 | | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_8_1, all_65_32, e0,
% 174.62/26.77 | | | | | | | | | | | | | | | e1, simplifying with (11606), (12055) gives:
% 174.62/26.77 | | | | | | | | | | | | | | | (12064) all_65_32 = all_8_1
% 174.62/26.77 | | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_13, all_65_16, e0,
% 174.62/26.77 | | | | | | | | | | | | | | | e2, simplifying with (231), (12054) gives:
% 174.62/26.77 | | | | | | | | | | | | | | | (12065) all_65_16 = all_61_13
% 174.62/26.77 | | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_12, all_44_1, e0,
% 174.62/26.77 | | | | | | | | | | | | | | | e3, simplifying with (235), (12060) gives:
% 174.62/26.77 | | | | | | | | | | | | | | | (12066) all_61_12 = all_44_1
% 174.62/26.77 | | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_12, all_65_0, e0,
% 174.62/26.77 | | | | | | | | | | | | | | | e3, simplifying with (235), (12052) gives:
% 174.62/26.77 | | | | | | | | | | | | | | | (12067) all_65_0 = all_61_12
% 174.62/26.77 | | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_36_1, all_65_0, e0,
% 174.62/26.77 | | | | | | | | | | | | | | | e3, simplifying with (12043), (12052) gives:
% 174.62/26.77 | | | | | | | | | | | | | | | (12068) all_65_0 = all_36_1
% 174.62/26.77 | | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | | COMBINE_EQS: (12067), (12068) imply:
% 174.62/26.77 | | | | | | | | | | | | | | | (12069) all_61_12 = all_36_1
% 174.62/26.77 | | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | | SIMP: (12069) implies:
% 174.62/26.77 | | | | | | | | | | | | | | | (12070) all_61_12 = all_36_1
% 174.62/26.77 | | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | | COMBINE_EQS: (12063), (12068) imply:
% 174.62/26.77 | | | | | | | | | | | | | | | (12071) all_61_3 = all_36_1
% 174.62/26.77 | | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | | SIMP: (12071) implies:
% 174.62/26.77 | | | | | | | | | | | | | | | (12072) all_61_3 = all_36_1
% 174.62/26.77 | | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | | COMBINE_EQS: (12061), (12062) imply:
% 174.62/26.77 | | | | | | | | | | | | | | | (12073) all_65_49 = all_20_2
% 174.62/26.77 | | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | | COMBINE_EQS: (12066), (12070) imply:
% 174.62/26.77 | | | | | | | | | | | | | | | (12074) all_44_1 = all_36_1
% 174.62/26.77 | | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | | COMBINE_EQS: (506), (12072) imply:
% 174.62/26.77 | | | | | | | | | | | | | | | (12075) all_63_12 = all_36_1
% 174.62/26.77 | | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | | COMBINE_EQS: (491), (12070) imply:
% 174.62/26.77 | | | | | | | | | | | | | | | (12076) all_63_3 = all_36_1
% 174.62/26.77 | | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | | REDUCE: (215), (12072) imply:
% 174.62/26.77 | | | | | | | | | | | | | | | (12077) ~ (all_61_1 = all_36_1)
% 174.62/26.77 | | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | | REDUCE: (211), (12072) imply:
% 174.62/26.77 | | | | | | | | | | | | | | | (12078) ~ (all_61_2 = all_36_1)
% 174.62/26.77 | | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | | REDUCE: (207), (12072) imply:
% 174.62/26.77 | | | | | | | | | | | | | | | (12079) ~ (all_61_7 = all_36_1)
% 174.62/26.77 | | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | | SIMP: (12079) implies:
% 174.62/26.77 | | | | | | | | | | | | | | | (12080) ~ (all_61_7 = all_36_1)
% 174.62/26.77 | | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | | REDUCE: (625), (12070) imply:
% 174.62/26.77 | | | | | | | | | | | | | | | (12081) ~ (all_36_1 = all_20_2)
% 174.62/26.77 | | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | | REDUCE: (12049), (12070) imply:
% 174.62/26.77 | | | | | | | | | | | | | | | (12082) ~ (all_36_1 = e0)
% 174.62/26.77 | | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | | REDUCE: (666), (12064) imply:
% 174.62/26.77 | | | | | | | | | | | | | | | (12083) op(all_61_2, e3) = all_8_1
% 174.62/26.77 | | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | | REDUCE: (682), (12072), (12073) imply:
% 174.62/26.77 | | | | | | | | | | | | | | | (12084) op(all_36_1, e3) = all_20_2
% 174.62/26.77 | | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | | REDUCE: (685), (12072) imply:
% 174.62/26.77 | | | | | | | | | | | | | | | (12085) op(all_36_1, e0) = all_65_55
% 174.62/26.77 | | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | | REDUCE: (11658), (12070) imply:
% 174.62/26.77 | | | | | | | | | | | | | | | (12086) op(all_61_8, e1) = all_36_1
% 174.62/26.77 | | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | | REDUCE: (646), (12070) imply:
% 174.62/26.77 | | | | | | | | | | | | | | | (12087) op(all_36_1, e3) = all_65_12
% 174.62/26.77 | | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | | REDUCE: (649), (12070) imply:
% 174.62/26.77 | | | | | | | | | | | | | | | (12088) op(all_36_1, e0) = all_65_15
% 174.62/26.77 | | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | | REDUCE: (761), (12072) imply:
% 174.62/26.77 | | | | | | | | | | | | | | | (12089) op(e0, all_36_1) = all_65_73
% 174.62/26.77 | | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | | REDUCE: (752), (12070) imply:
% 174.62/26.77 | | | | | | | | | | | | | | | (12090) op(e0, all_36_1) = all_65_55
% 174.62/26.77 | | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_73, all_65_55,
% 174.62/26.77 | | | | | | | | | | | | | | | all_36_1, e0, simplifying with (12089), (12090)
% 174.62/26.77 | | | | | | | | | | | | | | | gives:
% 174.62/26.77 | | | | | | | | | | | | | | | (12091) all_65_55 = all_65_73
% 174.62/26.77 | | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_55, all_65_15, e0,
% 174.62/26.77 | | | | | | | | | | | | | | | all_36_1, simplifying with (12085), (12088) gives:
% 174.62/26.77 | | | | | | | | | | | | | | | (12092) all_65_15 = all_65_55
% 174.62/26.77 | | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_20_2, all_65_12, e3,
% 174.62/26.77 | | | | | | | | | | | | | | | all_36_1, simplifying with (12084), (12087) gives:
% 174.62/26.77 | | | | | | | | | | | | | | | (12093) all_65_12 = all_20_2
% 174.62/26.77 | | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | | COMBINE_EQS: (12091), (12092) imply:
% 174.62/26.77 | | | | | | | | | | | | | | | (12094) all_65_15 = all_65_73
% 174.62/26.77 | | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | | REDUCE: (713), (12094) imply:
% 174.62/26.77 | | | | | | | | | | | | | | | (12095) op(e3, all_20_2) = all_65_73
% 174.62/26.77 | | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | | BETA: splitting (110) gives:
% 174.62/26.77 | | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | | Case 1:
% 174.62/26.77 | | | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | | | (12096) ~ (all_42_2 = e1)
% 174.62/26.77 | | | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | | | REDUCE: (532), (12096) imply:
% 174.62/26.77 | | | | | | | | | | | | | | | | (12097) ~ (all_20_2 = e1)
% 174.62/26.77 | | | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | | | BETA: splitting (256) gives:
% 174.62/26.77 | | | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | | | Case 1:
% 174.62/26.77 | | | | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | | | | (12098) all_63_15 = e3
% 174.62/26.77 | | | | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | | | | REF_CLOSE: (422), (11733), (12098) are inconsistent by
% 174.62/26.77 | | | | | | | | | | | | | | | | | sub-proof #501.
% 174.62/26.77 | | | | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | | | Case 2:
% 174.62/26.77 | | | | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | | | | (12099) all_63_15 = e2 | all_63_15 = e1 | all_63_15 = e0
% 174.62/26.77 | | | | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | | | | BETA: splitting (12099) gives:
% 174.62/26.77 | | | | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | | | | Case 1:
% 174.62/26.77 | | | | | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | | | | | (12100) all_63_15 = e2
% 174.62/26.77 | | | | | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | | | | | REF_CLOSE: (422), (11701), (12100) are inconsistent by
% 174.62/26.77 | | | | | | | | | | | | | | | | | | sub-proof #500.
% 174.62/26.77 | | | | | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | | | | Case 2:
% 174.62/26.77 | | | | | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | | | | | (12101) all_63_15 = e1 | all_63_15 = e0
% 174.62/26.77 | | | | | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | | | | | BETA: splitting (12101) gives:
% 174.62/26.77 | | | | | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | | | | | Case 1:
% 174.62/26.77 | | | | | | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | (12102) all_63_15 = e1
% 174.62/26.77 | | | | | | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (422), (12097), (12102) are inconsistent by
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | sub-proof #499.
% 174.62/26.77 | | | | | | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | | | | | Case 2:
% 174.62/26.77 | | | | | | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | (12103) all_63_15 = e0
% 174.62/26.77 | | | | | | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (422), (12103) imply:
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | (12104) all_20_2 = e0
% 174.62/26.77 | | | | | | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | SIMP: (12104) implies:
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | (12105) all_20_2 = e0
% 174.62/26.77 | | | | | | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | REDUCE: (617), (12105) imply:
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | (12106) ~ (all_61_7 = e0)
% 174.62/26.77 | | | | | | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | REDUCE: (12084), (12105) imply:
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | (12107) op(all_36_1, e3) = e0
% 174.62/26.77 | | | | | | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | REDUCE: (12095), (12105) imply:
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | (12108) op(e3, e0) = all_65_73
% 174.62/26.77 | | | | | | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | REDUCE: (730), (12105) imply:
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | (12109) op(e2, e0) = all_65_31
% 174.62/26.77 | | | | | | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_13, all_65_31, e0,
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | e2, simplifying with (231), (12109) gives:
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | (12110) all_65_31 = all_61_13
% 174.62/26.77 | | | | | | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_36_1, all_65_73, e0,
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | e3, simplifying with (12043), (12108) gives:
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | (12111) all_65_73 = all_36_1
% 174.62/26.77 | | | | | | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | BETA: splitting (162) gives:
% 174.62/26.77 | | | | | | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | Case 1:
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | (12112) ~ (all_58_2 = e3)
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | REDUCE: (478), (12112) imply:
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | (12113) ~ (all_52_2 = e3)
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | BETA: splitting (167) gives:
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | | (12114) ~ (all_58_0 = e1)
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | | REDUCE: (484), (12114) imply:
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | | (12115) ~ (all_52_0 = e1)
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (168) gives:
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | | | (12116) ~ (all_58_0 = e2)
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (484), (12116) imply:
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | | | (12117) ~ (all_52_0 = e2)
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (10), (50), (151), (159), (166), (231),
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | | | (475), (484), (534), (630), (714), (11714),
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | | | (12043), (12053), (12107), (12115), (12117) are
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #465.
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | | | (12118) all_58_1 = e3
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | | | (12119) all_58_0 = e2
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (484), (12119) imply:
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | | | (12120) all_52_0 = e2
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | | | SIMP: (12120) implies:
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | | | (12121) all_52_0 = e2
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (481), (12118) imply:
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | | | (12122) all_52_1 = e3
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | | | SIMP: (12122) implies:
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | | | (12123) all_52_1 = e3
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (714), (12121) imply:
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | | | (12124) op(e3, e2) = unit
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (731), (12123) imply:
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | | | (12125) op(e2, e3) = unit
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_1, unit, e3, e2,
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | | | simplifying with (234), (12125) gives:
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | | | (12126) all_61_1 = unit
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_4, unit, e2, e3,
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | | | simplifying with (237), (12124) gives:
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | | | (12127) all_61_4 = unit
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (493), (12126) imply:
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | | | (12128) all_63_4 = unit
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (203), (12127) imply:
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | | | (12129) ~ (all_61_6 = unit)
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | | | SIMP: (12129) implies:
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | | | (12130) ~ (all_61_6 = unit)
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (202), (12127) imply:
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | | | (12131) ~ (all_61_7 = unit)
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | | | SIMP: (12131) implies:
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | | | (12132) ~ (all_61_7 = unit)
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11710), (12127) imply:
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | | | (12133) ~ (unit = e2)
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12048), (12127) imply:
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | | | (12134) ~ (unit = e0)
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (267) gives:
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | | | | (12135) all_63_4 = e3
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12128), (12135) imply:
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | | | | (12136) unit = e3
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11696), (12136) imply:
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | | | | (12137) $false
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (12137) is inconsistent.
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | | | | (12138) all_63_4 = e2 | all_63_4 = e1 | all_63_4 = e0
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12138) gives:
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | | | | | (12139) all_63_4 = e2
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12128), (12139) imply:
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | | | | | (12140) unit = e2
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12133), (12140) imply:
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | | | | | (12141) $false
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (12141) is inconsistent.
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | | | | | (12142) all_63_4 = e1 | all_63_4 = e0
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12142) gives:
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | (12143) all_63_4 = e1
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12128), (12143) imply:
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | (12144) unit = e1
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12130), (12144) imply:
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | (12145) ~ (all_61_6 = e1)
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12132), (12144) imply:
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | (12146) ~ (all_61_7 = e1)
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (262) gives:
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | (12147) all_63_9 = e3
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (501), (12147) imply:
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | (12148) all_61_6 = e3
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (195), (12148) imply:
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | (12149) ~ (all_61_7 = e3)
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12149) implies:
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | (12150) ~ (all_61_7 = e3)
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (258), (508), (11712), (12106), (12146), (12150)
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #331.
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | (12151) all_63_9 = e2 | all_63_9 = e1 | all_63_9 = e0
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (501), (11611), (11711), (12145), (12151) are
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #178.
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | (12152) all_63_4 = e0
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12128), (12152) imply:
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | (12153) unit = e0
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12134), (12153) imply:
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | (12154) $false
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (12154) is inconsistent.
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | | End of split
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | | (12155) all_58_2 = e3
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (478), (12113), (12155) are inconsistent by
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | | sub-proof #507.
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | End of split
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | Case 2:
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | (12156) all_58_2 = e3
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | (12157) all_58_0 = e1
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (484), (12157) imply:
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | (12158) all_52_0 = e1
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | SIMP: (12158) implies:
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | (12159) all_52_0 = e1
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (478), (12156) imply:
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | (12160) all_52_2 = e3
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | REDUCE: (714), (12159) imply:
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | (12161) op(e3, e1) = unit
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | REDUCE: (748), (12160) imply:
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | (12162) op(e1, e3) = unit
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_2, unit, e3, e1,
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | simplifying with (230), (12162) gives:
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | (12163) all_61_2 = unit
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_8, unit, e1, e3,
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | simplifying with (236), (12161) gives:
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | (12164) all_61_8 = unit
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | REDUCE: (12083), (12163) imply:
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | (12165) op(unit, e3) = all_8_1
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | REDUCE: (668), (12163) imply:
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | (12166) op(unit, e1) = all_65_34
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | REDUCE: (642), (12164) imply:
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | (12167) op(unit, e3) = all_65_8
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | REDUCE: (12086), (12164) imply:
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | (12168) op(unit, e1) = all_36_1
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e1, all_65_34, e1, unit,
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | simplifying with (8), (12166) gives:
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | (12169) all_65_34 = e1
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_36_1, all_65_34, e1,
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | unit, simplifying with (12166), (12168) gives:
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | (12170) all_65_34 = all_36_1
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e3, all_65_8, e3, unit,
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | simplifying with (10), (12167) gives:
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | (12171) all_65_8 = e3
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_8_1, all_65_8, e3,
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | unit, simplifying with (12165), (12167) gives:
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | (12172) all_65_8 = all_8_1
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12171), (12172) imply:
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | (12173) all_8_1 = e3
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12169), (12170) imply:
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | (12174) all_36_1 = e1
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | SIMP: (12174) implies:
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | (12175) all_36_1 = e1
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | REDUCE: (12080), (12175) imply:
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | (12176) ~ (all_61_7 = e1)
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | REDUCE: (11650), (12173) imply:
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | (12177) ~ (all_61_7 = e3)
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (258), (508), (11712), (12106), (12176), (12177)
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #331.
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | End of split
% 174.62/26.77 | | | | | | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | | | | | End of split
% 174.62/26.77 | | | | | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | | | | End of split
% 174.62/26.77 | | | | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | | | End of split
% 174.62/26.77 | | | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | | Case 2:
% 174.62/26.77 | | | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | | | (12178) all_42_2 = e1
% 174.62/26.77 | | | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | | | COMBINE_EQS: (532), (12178) imply:
% 174.62/26.77 | | | | | | | | | | | | | | | | (12179) all_20_2 = e1
% 174.62/26.77 | | | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | | | SIMP: (12179) implies:
% 174.62/26.77 | | | | | | | | | | | | | | | | (12180) all_20_2 = e1
% 174.62/26.77 | | | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | | | REDUCE: (12081), (12180) imply:
% 174.62/26.77 | | | | | | | | | | | | | | | | (12181) ~ (all_36_1 = e1)
% 174.62/26.77 | | | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | | | REDUCE: (11656), (12180) imply:
% 174.62/26.77 | | | | | | | | | | | | | | | | (12182) ~ (all_8_1 = e1)
% 174.62/26.77 | | | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | | | SIMP: (12182) implies:
% 174.62/26.77 | | | | | | | | | | | | | | | | (12183) ~ (all_8_1 = e1)
% 174.62/26.77 | | | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | | | REDUCE: (694), (12180) imply:
% 174.62/26.77 | | | | | | | | | | | | | | | | (12184) op(e1, e3) = all_65_73
% 174.62/26.77 | | | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | | | REDUCE: (12095), (12180) imply:
% 174.62/26.77 | | | | | | | | | | | | | | | | (12185) op(e3, e1) = all_65_73
% 174.62/26.77 | | | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | | | REDUCE: (730), (12180) imply:
% 174.62/26.77 | | | | | | | | | | | | | | | | (12186) op(e2, e1) = all_65_31
% 174.62/26.77 | | | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | | | REDUCE: (11689), (12180) imply:
% 174.62/26.77 | | | | | | | | | | | | | | | | (12187) op(e1, e1) = all_65_77
% 174.62/26.77 | | | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e0, all_65_77, e1, e1,
% 174.62/26.77 | | | | | | | | | | | | | | | | simplifying with (11622), (12187) gives:
% 174.62/26.77 | | | | | | | | | | | | | | | | (12188) all_65_77 = e0
% 174.62/26.77 | | | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_2, all_65_73, e3,
% 174.62/26.77 | | | | | | | | | | | | | | | | e1, simplifying with (230), (12184) gives:
% 174.62/26.77 | | | | | | | | | | | | | | | | (12189) all_65_73 = all_61_2
% 174.62/26.77 | | | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_9, all_65_31, e1,
% 174.62/26.77 | | | | | | | | | | | | | | | | e2, simplifying with (232), (12186) gives:
% 174.62/26.77 | | | | | | | | | | | | | | | | (12190) all_65_31 = all_61_9
% 174.62/26.77 | | | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_8, all_65_73, e1,
% 174.62/26.77 | | | | | | | | | | | | | | | | e3, simplifying with (236), (12185) gives:
% 174.62/26.77 | | | | | | | | | | | | | | | | (12191) all_65_73 = all_61_8
% 174.62/26.77 | | | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | | | COMBINE_EQS: (12189), (12191) imply:
% 174.62/26.77 | | | | | | | | | | | | | | | | (12192) all_61_2 = all_61_8
% 174.62/26.77 | | | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | | | SIMP: (12192) implies:
% 174.62/26.77 | | | | | | | | | | | | | | | | (12193) all_61_2 = all_61_8
% 174.62/26.77 | | | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | | | REDUCE: (216), (12193) imply:
% 174.62/26.77 | | | | | | | | | | | | | | | | (12194) ~ (all_61_1 = all_61_8)
% 174.62/26.77 | | | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | | | REDUCE: (12078), (12193) imply:
% 174.62/26.77 | | | | | | | | | | | | | | | | (12195) ~ (all_61_8 = all_36_1)
% 174.62/26.77 | | | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | | | REDUCE: (668), (12193) imply:
% 174.62/26.77 | | | | | | | | | | | | | | | | (12196) op(all_61_8, e1) = all_65_34
% 174.62/26.77 | | | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_36_1, all_65_34, e1,
% 174.62/26.77 | | | | | | | | | | | | | | | | all_61_8, simplifying with (12086), (12196) gives:
% 174.62/26.77 | | | | | | | | | | | | | | | | (12197) all_65_34 = all_36_1
% 174.62/26.77 | | | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | | | BETA: splitting (161) gives:
% 174.62/26.77 | | | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | | | Case 1:
% 174.62/26.77 | | | | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | | | | (12198) ~ (all_58_2 = e2)
% 174.62/26.77 | | | | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | | | | REDUCE: (478), (12198) imply:
% 174.62/26.77 | | | | | | | | | | | | | | | | | (12199) ~ (all_52_2 = e2)
% 174.62/26.77 | | | | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | | | | BETA: splitting (164) gives:
% 174.62/26.77 | | | | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | | | | Case 1:
% 174.62/26.77 | | | | | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | | | | | (12200) ~ (all_58_1 = e1)
% 174.62/26.77 | | | | | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | | | | | REDUCE: (481), (12200) imply:
% 174.62/26.77 | | | | | | | | | | | | | | | | | | (12201) ~ (all_52_1 = e1)
% 174.62/26.77 | | | | | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | | | | | BETA: splitting (168) gives:
% 174.62/26.77 | | | | | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | | | | | Case 1:
% 174.62/26.77 | | | | | | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | (12202) ~ (all_58_0 = e2)
% 174.62/26.77 | | | | | | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | REDUCE: (484), (12202) imply:
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | (12203) ~ (all_52_0 = e2)
% 174.62/26.77 | | | | | | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | BETA: splitting (162) gives:
% 174.62/26.77 | | | | | | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | Case 1:
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | (12204) ~ (all_58_2 = e3)
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | REDUCE: (478), (12204) imply:
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | (12205) ~ (all_52_2 = e3)
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | BETA: splitting (167) gives:
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | | (12206) ~ (all_58_0 = e1)
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | | REDUCE: (484), (12206) imply:
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | | (12207) ~ (all_52_0 = e1)
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (159) gives:
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | | | (12208) ~ (all_58_3 = e3)
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (475), (12208) imply:
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | | | (12209) ~ (all_52_3 = e3)
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (50), (151), (166), (231), (475), (484),
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | | | (534), (714), (11714), (12053), (12203), (12207),
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | | | (12209) are inconsistent by sub-proof #467.
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.77 | | | | | | | | | | | | | | | | | | | | | | (12210) all_58_3 = e3
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | | | (12211) all_58_0 = e0
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (484), (12211) imply:
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | | | (12212) all_52_0 = e0
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | | | SIMP: (12212) implies:
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | | | (12213) all_52_0 = e0
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (475), (12210) imply:
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | | | (12214) all_52_3 = e3
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (628), (12213) imply:
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | | | (12215) ~ (all_52_1 = e0)
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | | | SIMP: (12215) implies:
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | | | (12216) ~ (all_52_1 = e0)
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (629), (12213) imply:
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | | | (12217) ~ (all_52_2 = e0)
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | | | SIMP: (12217) implies:
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | | | (12218) ~ (all_52_2 = e0)
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (632), (12214) imply:
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | | | (12219) ~ (all_52_1 = e3)
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (150) gives:
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | | | | (12220) all_56_1 = e3
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (536), (12219), (12220) are inconsistent by
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #455.
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | | | | (12221) all_56_1 = e2 | all_56_1 = e1 | all_56_1 = e0
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (149) gives:
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | | | | | (12222) all_56_2 = e3
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (538), (12205), (12222) are inconsistent by
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #482.
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | | | | | (12223) all_56_2 = e2 | all_56_2 = e1 | all_56_2 = e0
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12223) gives:
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | (12224) all_56_2 = e2
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (538), (12199), (12224) are inconsistent by
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #481.
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | (12225) all_56_2 = e1 | all_56_2 = e0
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12221) gives:
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | (12226) all_56_1 = e2
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (536), (12226) imply:
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | (12227) all_52_1 = e2
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12227) implies:
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | (12228) all_52_1 = e2
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (731), (12228) imply:
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | (12229) op(e2, e2) = unit
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12225) gives:
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12230) all_56_2 = e1
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (538), (12230) imply:
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12231) all_52_2 = e1
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12231) implies:
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12232) all_52_2 = e1
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (748), (12232) imply:
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12233) op(e1, e1) = unit
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e0, unit, e1, e1,
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (11622), (12233) gives:
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12234) unit = e0
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e2, unit, e2, e2,
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (11720), (12229) gives:
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12235) unit = e2
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (19), (12234), (12235) are inconsistent by
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #338.
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12236) all_56_2 = e0
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (538), (12218), (12236) are inconsistent by
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #480.
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | (12237) all_56_1 = e1 | all_56_1 = e0
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (536), (12201), (12216), (12237) are inconsistent
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #454.
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | | End of split
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | | (12238) all_58_2 = e3
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (478), (12205), (12238) are inconsistent by
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | | sub-proof #507.
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | End of split
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | |
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | Case 2:
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | |
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | (12239) all_58_0 = e1
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | |
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (484), (12239) imply:
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | (12240) all_52_0 = e1
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | |
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | SIMP: (12240) implies:
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | (12241) all_52_0 = e1
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | |
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | REDUCE: (714), (12241) imply:
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | (12242) op(e3, e1) = unit
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | |
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (50), (236), (12086), (12181), (12242) are
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #177.
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | |
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | End of split
% 174.62/26.78 | | | | | | | | | | | | | | | | | | |
% 174.62/26.78 | | | | | | | | | | | | | | | | | | Case 2:
% 174.62/26.78 | | | | | | | | | | | | | | | | | | |
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | (12243) all_58_1 = e3
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | (12244) all_58_0 = e2
% 174.62/26.78 | | | | | | | | | | | | | | | | | | |
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (484), (12244) imply:
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | (12245) all_52_0 = e2
% 174.62/26.78 | | | | | | | | | | | | | | | | | | |
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | SIMP: (12245) implies:
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | (12246) all_52_0 = e2
% 174.62/26.78 | | | | | | | | | | | | | | | | | | |
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (481), (12243) imply:
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | (12247) all_52_1 = e3
% 174.62/26.78 | | | | | | | | | | | | | | | | | | |
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | SIMP: (12247) implies:
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | (12248) all_52_1 = e3
% 174.62/26.78 | | | | | | | | | | | | | | | | | | |
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | REDUCE: (714), (12246) imply:
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | (12249) op(e3, e2) = unit
% 174.62/26.78 | | | | | | | | | | | | | | | | | | |
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | REDUCE: (731), (12248) imply:
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | (12250) op(e2, e3) = unit
% 174.62/26.78 | | | | | | | | | | | | | | | | | | |
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_1, unit, e3, e2,
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | simplifying with (234), (12250) gives:
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | (12251) all_61_1 = unit
% 174.62/26.78 | | | | | | | | | | | | | | | | | | |
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_4, unit, e2, e3,
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | simplifying with (237), (12249) gives:
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | (12252) all_61_4 = unit
% 174.62/26.78 | | | | | | | | | | | | | | | | | | |
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (488), (12252) imply:
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | (12253) all_63_1 = unit
% 174.62/26.78 | | | | | | | | | | | | | | | | | | |
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | REDUCE: (213), (12251) imply:
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | (12254) ~ (all_61_9 = unit)
% 174.62/26.78 | | | | | | | | | | | | | | | | | | |
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | SIMP: (12254) implies:
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | (12255) ~ (all_61_9 = unit)
% 174.62/26.78 | | | | | | | | | | | | | | | | | | |
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | REDUCE: (201), (12252) imply:
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | (12256) ~ (all_61_8 = unit)
% 174.62/26.78 | | | | | | | | | | | | | | | | | | |
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | SIMP: (12256) implies:
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | (12257) ~ (all_61_8 = unit)
% 174.62/26.78 | | | | | | | | | | | | | | | | | | |
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | REDUCE: (11710), (12252) imply:
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | (12258) ~ (unit = e2)
% 174.62/26.78 | | | | | | | | | | | | | | | | | | |
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | REDUCE: (12048), (12252) imply:
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | (12259) ~ (unit = e0)
% 174.62/26.78 | | | | | | | | | | | | | | | | | | |
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | BETA: splitting (270) gives:
% 174.62/26.78 | | | | | | | | | | | | | | | | | | |
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | Case 1:
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | |
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | (12260) all_63_1 = e3
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | |
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12253), (12260) imply:
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | (12261) unit = e3
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | |
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | REDUCE: (11696), (12261) imply:
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | (12262) $false
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | |
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | CLOSE: (12262) is inconsistent.
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | |
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | Case 2:
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | |
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | (12263) all_63_1 = e2 | all_63_1 = e1 | all_63_1 = e0
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | |
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | BETA: splitting (12263) gives:
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | |
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | | (12264) all_63_1 = e2
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12253), (12264) imply:
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | | (12265) unit = e2
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | | REDUCE: (12258), (12265) imply:
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | | (12266) $false
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | | CLOSE: (12266) is inconsistent.
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | | (12267) ~ (all_63_1 = e2)
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | | (12268) all_63_1 = e1 | all_63_1 = e0
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11697) gives:
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | | | (12269) unit = e2
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12258), (12269) imply:
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | | | (12270) $false
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (12270) is inconsistent.
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | | | (12271) unit = e1 | unit = e0
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12271) gives:
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | | | | (12272) unit = e1
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12257), (12272) imply:
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | | | | (12273) ~ (all_61_8 = e1)
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12255), (12272) imply:
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | | | | (12274) ~ (all_61_9 = e1)
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (190), (260), (265), (269), (489), (497), (11612),
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | | | | (11613), (11646), (11651), (11652), (11657),
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | | | | (11713), (12183), (12273), (12274) are
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #176.
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | | | | (12275) ~ (unit = e1)
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12253), (12259), (12268), (12275) are
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #231.
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | | End of split
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | End of split
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | |
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | End of split
% 174.62/26.78 | | | | | | | | | | | | | | | | | | |
% 174.62/26.78 | | | | | | | | | | | | | | | | | | End of split
% 174.62/26.78 | | | | | | | | | | | | | | | | | |
% 174.62/26.78 | | | | | | | | | | | | | | | | | Case 2:
% 174.62/26.78 | | | | | | | | | | | | | | | | | |
% 174.62/26.78 | | | | | | | | | | | | | | | | | | (12276) all_58_2 = e2
% 174.62/26.78 | | | | | | | | | | | | | | | | | |
% 174.62/26.78 | | | | | | | | | | | | | | | | | | REF_CLOSE: (478), (12199), (12276) are inconsistent by
% 174.62/26.78 | | | | | | | | | | | | | | | | | | sub-proof #433.
% 174.62/26.78 | | | | | | | | | | | | | | | | | |
% 174.62/26.78 | | | | | | | | | | | | | | | | | End of split
% 174.62/26.78 | | | | | | | | | | | | | | | | |
% 174.62/26.78 | | | | | | | | | | | | | | | | Case 2:
% 174.62/26.78 | | | | | | | | | | | | | | | | |
% 174.62/26.78 | | | | | | | | | | | | | | | | | (12277) all_58_1 = e1
% 174.62/26.78 | | | | | | | | | | | | | | | | |
% 174.62/26.78 | | | | | | | | | | | | | | | | | COMBINE_EQS: (481), (12277) imply:
% 174.62/26.78 | | | | | | | | | | | | | | | | | (12278) all_52_1 = e1
% 174.62/26.78 | | | | | | | | | | | | | | | | |
% 174.62/26.78 | | | | | | | | | | | | | | | | | SIMP: (12278) implies:
% 174.62/26.78 | | | | | | | | | | | | | | | | | (12279) all_52_1 = e1
% 174.62/26.78 | | | | | | | | | | | | | | | | |
% 174.62/26.78 | | | | | | | | | | | | | | | | | REDUCE: (731), (12279) imply:
% 174.62/26.78 | | | | | | | | | | | | | | | | | (12280) op(e2, e1) = unit
% 174.62/26.78 | | | | | | | | | | | | | | | | |
% 174.62/26.78 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_9, unit, e1, e2,
% 174.62/26.78 | | | | | | | | | | | | | | | | | simplifying with (232), (12280) gives:
% 174.62/26.78 | | | | | | | | | | | | | | | | | (12281) all_61_9 = unit
% 174.62/26.78 | | | | | | | | | | | | | | | | |
% 174.62/26.78 | | | | | | | | | | | | | | | | | REDUCE: (213), (12281) imply:
% 174.62/26.78 | | | | | | | | | | | | | | | | | (12282) ~ (all_61_1 = unit)
% 174.62/26.78 | | | | | | | | | | | | | | | | |
% 174.62/26.78 | | | | | | | | | | | | | | | | | REDUCE: (190), (12281) imply:
% 174.62/26.78 | | | | | | | | | | | | | | | | | (12283) ~ (all_61_8 = unit)
% 174.62/26.78 | | | | | | | | | | | | | | | | |
% 174.62/26.78 | | | | | | | | | | | | | | | | | REDUCE: (11713), (12281) imply:
% 174.62/26.78 | | | | | | | | | | | | | | | | | (12284) ~ (unit = e2)
% 174.62/26.78 | | | | | | | | | | | | | | | | |
% 174.62/26.78 | | | | | | | | | | | | | | | | | REDUCE: (11613), (12281) imply:
% 174.62/26.78 | | | | | | | | | | | | | | | | | (12285) ~ (unit = e0)
% 174.62/26.78 | | | | | | | | | | | | | | | | |
% 174.62/26.78 | | | | | | | | | | | | | | | | | BETA: splitting (11697) gives:
% 174.62/26.78 | | | | | | | | | | | | | | | | |
% 174.62/26.78 | | | | | | | | | | | | | | | | | Case 1:
% 174.62/26.78 | | | | | | | | | | | | | | | | | |
% 174.62/26.78 | | | | | | | | | | | | | | | | | | (12286) unit = e2
% 174.62/26.78 | | | | | | | | | | | | | | | | | |
% 174.62/26.78 | | | | | | | | | | | | | | | | | | REDUCE: (12284), (12286) imply:
% 174.62/26.78 | | | | | | | | | | | | | | | | | | (12287) $false
% 174.62/26.78 | | | | | | | | | | | | | | | | | |
% 174.62/26.78 | | | | | | | | | | | | | | | | | | CLOSE: (12287) is inconsistent.
% 174.62/26.78 | | | | | | | | | | | | | | | | | |
% 174.62/26.78 | | | | | | | | | | | | | | | | | Case 2:
% 174.62/26.78 | | | | | | | | | | | | | | | | | |
% 174.62/26.78 | | | | | | | | | | | | | | | | | | (12288) unit = e1 | unit = e0
% 174.62/26.78 | | | | | | | | | | | | | | | | | |
% 174.62/26.78 | | | | | | | | | | | | | | | | | | BETA: splitting (12288) gives:
% 174.62/26.78 | | | | | | | | | | | | | | | | | |
% 174.62/26.78 | | | | | | | | | | | | | | | | | | Case 1:
% 174.62/26.78 | | | | | | | | | | | | | | | | | | |
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | (12289) unit = e1
% 174.62/26.78 | | | | | | | | | | | | | | | | | | |
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | REDUCE: (12282), (12289) imply:
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | (12290) ~ (all_61_1 = e1)
% 174.62/26.78 | | | | | | | | | | | | | | | | | | |
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | REDUCE: (12283), (12289) imply:
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | (12291) ~ (all_61_8 = e1)
% 174.62/26.78 | | | | | | | | | | | | | | | | | | |
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | BETA: splitting (267) gives:
% 174.62/26.78 | | | | | | | | | | | | | | | | | | |
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | Case 1:
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | |
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | (12292) all_63_4 = e3
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | |
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (493), (12292) imply:
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | (12293) all_61_1 = e3
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | |
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | REDUCE: (12194), (12293) imply:
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | (12294) ~ (all_61_8 = e3)
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | |
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | SIMP: (12294) implies:
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | (12295) ~ (all_61_8 = e3)
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | |
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | REDUCE: (12077), (12293) imply:
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | (12296) ~ (all_36_1 = e3)
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | |
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | SIMP: (12296) implies:
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | (12297) ~ (all_36_1 = e3)
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | |
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | BETA: splitting (259) gives:
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | |
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | | (12298) all_63_12 = e3
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | |
% 174.62/26.78 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12075), (12298) imply:
% 174.94/26.78 | | | | | | | | | | | | | | | | | | | | | (12299) all_36_1 = e3
% 174.94/26.78 | | | | | | | | | | | | | | | | | | | | |
% 174.94/26.78 | | | | | | | | | | | | | | | | | | | | | REDUCE: (12297), (12299) imply:
% 174.94/26.78 | | | | | | | | | | | | | | | | | | | | | (12300) $false
% 174.94/26.78 | | | | | | | | | | | | | | | | | | | | |
% 174.94/26.78 | | | | | | | | | | | | | | | | | | | | | CLOSE: (12300) is inconsistent.
% 174.94/26.78 | | | | | | | | | | | | | | | | | | | | |
% 174.94/26.78 | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.94/26.78 | | | | | | | | | | | | | | | | | | | | |
% 174.94/26.78 | | | | | | | | | | | | | | | | | | | | | (12301) ~ (all_63_12 = e3)
% 174.94/26.78 | | | | | | | | | | | | | | | | | | | | | (12302) all_63_12 = e2 | all_63_12 = e1 | all_63_12 = e0
% 174.94/26.78 | | | | | | | | | | | | | | | | | | | | |
% 174.94/26.78 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (268), (269), (489), (11612), (12075), (12076),
% 174.94/26.78 | | | | | | | | | | | | | | | | | | | | | (12082), (12181), (12195), (12291), (12295),
% 174.94/26.78 | | | | | | | | | | | | | | | | | | | | | (12297), (12302) are inconsistent by sub-proof
% 174.94/26.78 | | | | | | | | | | | | | | | | | | | | | #399.
% 174.94/26.78 | | | | | | | | | | | | | | | | | | | | |
% 174.94/26.78 | | | | | | | | | | | | | | | | | | | | End of split
% 174.94/26.78 | | | | | | | | | | | | | | | | | | | |
% 174.94/26.78 | | | | | | | | | | | | | | | | | | | Case 2:
% 174.94/26.78 | | | | | | | | | | | | | | | | | | | |
% 174.94/26.78 | | | | | | | | | | | | | | | | | | | | (12303) all_63_4 = e2 | all_63_4 = e1 | all_63_4 = e0
% 174.94/26.78 | | | | | | | | | | | | | | | | | | | |
% 174.94/26.78 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (493), (11709), (12047), (12290), (12303) are
% 174.94/26.78 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #471.
% 174.94/26.78 | | | | | | | | | | | | | | | | | | | |
% 174.94/26.78 | | | | | | | | | | | | | | | | | | | End of split
% 174.94/26.78 | | | | | | | | | | | | | | | | | | |
% 174.94/26.78 | | | | | | | | | | | | | | | | | | Case 2:
% 174.94/26.78 | | | | | | | | | | | | | | | | | | |
% 174.94/26.78 | | | | | | | | | | | | | | | | | | | (12304) unit = e0
% 174.94/26.78 | | | | | | | | | | | | | | | | | | |
% 174.94/26.78 | | | | | | | | | | | | | | | | | | | REDUCE: (12285), (12304) imply:
% 174.94/26.78 | | | | | | | | | | | | | | | | | | | (12305) $false
% 174.94/26.78 | | | | | | | | | | | | | | | | | | |
% 174.94/26.78 | | | | | | | | | | | | | | | | | | | CLOSE: (12305) is inconsistent.
% 174.94/26.78 | | | | | | | | | | | | | | | | | | |
% 174.94/26.78 | | | | | | | | | | | | | | | | | | End of split
% 174.94/26.78 | | | | | | | | | | | | | | | | | |
% 174.94/26.78 | | | | | | | | | | | | | | | | | End of split
% 174.94/26.78 | | | | | | | | | | | | | | | | |
% 174.94/26.78 | | | | | | | | | | | | | | | | End of split
% 174.94/26.78 | | | | | | | | | | | | | | | |
% 174.94/26.78 | | | | | | | | | | | | | | | End of split
% 174.94/26.78 | | | | | | | | | | | | | | |
% 174.94/26.78 | | | | | | | | | | | | | | End of split
% 174.94/26.78 | | | | | | | | | | | | | |
% 174.94/26.78 | | | | | | | | | | | | | End of split
% 174.94/26.78 | | | | | | | | | | | | |
% 174.94/26.78 | | | | | | | | | | | | Case 2:
% 174.94/26.78 | | | | | | | | | | | | |
% 174.94/26.78 | | | | | | | | | | | | | (12306) all_28_2 = e3
% 174.94/26.78 | | | | | | | | | | | | | (12307) op(e0, e3) = all_28_1 & $i(all_28_1) & ( ~
% 174.94/26.78 | | | | | | | | | | | | | (all_28_1 = e2) | ( ~ (all_28_0 = e1) & op(e2,
% 174.94/26.78 | | | | | | | | | | | | | e0) = all_28_0 & $i(all_28_0)))
% 174.94/26.78 | | | | | | | | | | | | |
% 174.94/26.78 | | | | | | | | | | | | | ALPHA: (12307) implies:
% 174.94/26.78 | | | | | | | | | | | | | (12308) op(e0, e3) = all_28_1
% 174.94/26.78 | | | | | | | | | | | | |
% 174.94/26.78 | | | | | | | | | | | | | COMBINE_EQS: (563), (12306) imply:
% 174.94/26.78 | | | | | | | | | | | | | (12309) all_20_2 = e3
% 174.94/26.78 | | | | | | | | | | | | |
% 174.94/26.78 | | | | | | | | | | | | | REDUCE: (625), (12309) imply:
% 174.94/26.78 | | | | | | | | | | | | | (12310) ~ (all_61_12 = e3)
% 174.94/26.78 | | | | | | | | | | | | |
% 174.94/26.78 | | | | | | | | | | | | | REDUCE: (11656), (12309) imply:
% 174.94/26.78 | | | | | | | | | | | | | (12311) ~ (all_8_1 = e3)
% 174.94/26.78 | | | | | | | | | | | | |
% 174.94/26.78 | | | | | | | | | | | | | SIMP: (12311) implies:
% 174.94/26.78 | | | | | | | | | | | | | (12312) ~ (all_8_1 = e3)
% 174.94/26.78 | | | | | | | | | | | | |
% 174.94/26.78 | | | | | | | | | | | | | REDUCE: (694), (12309) imply:
% 174.94/26.78 | | | | | | | | | | | | | (12313) op(e3, e3) = all_65_73
% 174.94/26.78 | | | | | | | | | | | | |
% 174.94/26.78 | | | | | | | | | | | | | REDUCE: (695), (12309) imply:
% 174.94/26.78 | | | | | | | | | | | | | (12314) op(e3, e2) = all_65_75
% 174.94/26.78 | | | | | | | | | | | | |
% 174.94/26.78 | | | | | | | | | | | | | REDUCE: (696), (12309) imply:
% 174.94/26.78 | | | | | | | | | | | | | (12315) op(e3, e1) = all_65_77
% 174.94/26.78 | | | | | | | | | | | | |
% 174.94/26.78 | | | | | | | | | | | | | REDUCE: (697), (12309) imply:
% 174.94/26.78 | | | | | | | | | | | | | (12316) op(e3, e0) = all_65_78
% 174.94/26.78 | | | | | | | | | | | | |
% 174.94/26.78 | | | | | | | | | | | | | REDUCE: (11662), (12309) imply:
% 174.94/26.78 | | | | | | | | | | | | | (12317) op(all_8_1, e1) = e3
% 174.94/26.78 | | | | | | | | | | | | |
% 174.94/26.78 | | | | | | | | | | | | | REDUCE: (713), (12309) imply:
% 174.94/26.78 | | | | | | | | | | | | | (12318) op(e3, e3) = all_65_15
% 174.94/26.78 | | | | | | | | | | | | |
% 174.94/26.78 | | | | | | | | | | | | | REDUCE: (730), (12309) imply:
% 174.94/26.78 | | | | | | | | | | | | | (12319) op(e2, e3) = all_65_31
% 174.94/26.78 | | | | | | | | | | | | |
% 174.94/26.78 | | | | | | | | | | | | | REDUCE: (11689), (12309) imply:
% 174.94/26.78 | | | | | | | | | | | | | (12320) op(e1, e3) = all_65_77
% 174.94/26.78 | | | | | | | | | | | | |
% 174.94/26.78 | | | | | | | | | | | | | REDUCE: (764), (12309) imply:
% 174.94/26.78 | | | | | | | | | | | | | (12321) op(e0, e3) = all_65_78
% 174.94/26.78 | | | | | | | | | | | | |
% 174.94/26.78 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_3, all_65_78, e3,
% 174.94/26.78 | | | | | | | | | | | | | e0, simplifying with (226), (12321) gives:
% 174.94/26.78 | | | | | | | | | | | | | (12322) all_65_78 = all_61_3
% 174.94/26.78 | | | | | | | | | | | | |
% 174.94/26.78 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_28_1, all_65_78, e3,
% 174.94/26.78 | | | | | | | | | | | | | e0, simplifying with (12308), (12321) gives:
% 174.94/26.78 | | | | | | | | | | | | | (12323) all_65_78 = all_28_1
% 174.94/26.78 | | | | | | | | | | | | |
% 174.94/26.78 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_2, all_65_77, e3,
% 174.94/26.78 | | | | | | | | | | | | | e1, simplifying with (230), (12320) gives:
% 174.94/26.78 | | | | | | | | | | | | | (12324) all_65_77 = all_61_2
% 174.94/26.78 | | | | | | | | | | | | |
% 174.94/26.78 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_1, all_65_31, e3,
% 174.94/26.78 | | | | | | | | | | | | | e2, simplifying with (234), (12319) gives:
% 174.94/26.78 | | | | | | | | | | | | | (12325) all_65_31 = all_61_1
% 174.94/26.78 | | | | | | | | | | | | |
% 174.94/26.78 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_12, all_65_78, e0,
% 174.94/26.78 | | | | | | | | | | | | | e3, simplifying with (235), (12316) gives:
% 174.94/26.78 | | | | | | | | | | | | | (12326) all_65_78 = all_61_12
% 174.94/26.78 | | | | | | | | | | | | |
% 174.94/26.78 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_8, all_65_77, e1,
% 174.94/26.78 | | | | | | | | | | | | | e3, simplifying with (236), (12315) gives:
% 174.94/26.78 | | | | | | | | | | | | | (12327) all_65_77 = all_61_8
% 174.94/26.78 | | | | | | | | | | | | |
% 174.94/26.78 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_4, all_65_75, e2,
% 174.94/26.78 | | | | | | | | | | | | | e3, simplifying with (237), (12314) gives:
% 174.94/26.78 | | | | | | | | | | | | | (12328) all_65_75 = all_61_4
% 174.94/26.78 | | | | | | | | | | | | |
% 174.94/26.78 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_14_2, all_65_15, e3,
% 174.94/26.78 | | | | | | | | | | | | | e3, simplifying with (67), (12318) gives:
% 174.94/26.78 | | | | | | | | | | | | | (12329) all_65_15 = all_14_2
% 174.94/26.78 | | | | | | | | | | | | |
% 174.94/26.78 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_73, all_65_15, e3,
% 174.94/26.78 | | | | | | | | | | | | | e3, simplifying with (12313), (12318) gives:
% 174.94/26.78 | | | | | | | | | | | | | (12330) all_65_15 = all_65_73
% 174.94/26.78 | | | | | | | | | | | | |
% 174.94/26.78 | | | | | | | | | | | | | COMBINE_EQS: (12329), (12330) imply:
% 174.94/26.78 | | | | | | | | | | | | | (12331) all_65_73 = all_14_2
% 174.94/26.78 | | | | | | | | | | | | |
% 174.94/26.78 | | | | | | | | | | | | | COMBINE_EQS: (12324), (12327) imply:
% 174.94/26.78 | | | | | | | | | | | | | (12332) all_61_2 = all_61_8
% 174.94/26.78 | | | | | | | | | | | | |
% 174.94/26.78 | | | | | | | | | | | | | SIMP: (12332) implies:
% 174.94/26.78 | | | | | | | | | | | | | (12333) all_61_2 = all_61_8
% 174.94/26.78 | | | | | | | | | | | | |
% 174.94/26.78 | | | | | | | | | | | | | COMBINE_EQS: (12323), (12326) imply:
% 174.94/26.78 | | | | | | | | | | | | | (12334) all_61_12 = all_28_1
% 174.94/26.78 | | | | | | | | | | | | |
% 174.94/26.78 | | | | | | | | | | | | | SIMP: (12334) implies:
% 174.94/26.78 | | | | | | | | | | | | | (12335) all_61_12 = all_28_1
% 174.94/26.78 | | | | | | | | | | | | |
% 174.94/26.78 | | | | | | | | | | | | | COMBINE_EQS: (12322), (12323) imply:
% 174.94/26.78 | | | | | | | | | | | | | (12336) all_61_3 = all_28_1
% 174.94/26.78 | | | | | | | | | | | | |
% 174.94/26.78 | | | | | | | | | | | | | SIMP: (12336) implies:
% 174.94/26.78 | | | | | | | | | | | | | (12337) all_61_3 = all_28_1
% 174.94/26.78 | | | | | | | | | | | | |
% 174.94/26.78 | | | | | | | | | | | | | COMBINE_EQS: (506), (12337) imply:
% 174.94/26.78 | | | | | | | | | | | | | (12338) all_63_12 = all_28_1
% 174.94/26.78 | | | | | | | | | | | | |
% 174.94/26.78 | | | | | | | | | | | | | COMBINE_EQS: (499), (12333) imply:
% 174.94/26.78 | | | | | | | | | | | | | (12339) all_63_8 = all_61_8
% 174.94/26.78 | | | | | | | | | | | | |
% 174.94/26.78 | | | | | | | | | | | | | COMBINE_EQS: (491), (12335) imply:
% 174.94/26.78 | | | | | | | | | | | | | (12340) all_63_3 = all_28_1
% 174.94/26.78 | | | | | | | | | | | | |
% 174.94/26.78 | | | | | | | | | | | | | REDUCE: (200), (12335) imply:
% 174.94/26.78 | | | | | | | | | | | | | (12341) ~ (all_61_4 = all_28_1)
% 174.94/26.78 | | | | | | | | | | | | |
% 174.94/26.78 | | | | | | | | | | | | | REDUCE: (187), (12335) imply:
% 174.94/26.78 | | | | | | | | | | | | | (12342) ~ (all_61_8 = all_28_1)
% 174.94/26.78 | | | | | | | | | | | | |
% 174.94/26.78 | | | | | | | | | | | | | REDUCE: (180), (12335) imply:
% 174.94/26.78 | | | | | | | | | | | | | (12343) ~ (all_61_13 = all_28_1)
% 174.94/26.78 | | | | | | | | | | | | |
% 174.94/26.78 | | | | | | | | | | | | | SIMP: (12343) implies:
% 174.94/26.78 | | | | | | | | | | | | | (12344) ~ (all_61_13 = all_28_1)
% 174.94/26.78 | | | | | | | | | | | | |
% 174.94/26.78 | | | | | | | | | | | | | REDUCE: (603), (12335) imply:
% 174.94/26.78 | | | | | | | | | | | | | (12345) ~ (all_28_1 = all_14_2)
% 174.94/26.78 | | | | | | | | | | | | |
% 174.94/26.78 | | | | | | | | | | | | | REDUCE: (11653), (12335) imply:
% 174.94/26.78 | | | | | | | | | | | | | (12346) ~ (all_28_1 = all_8_1)
% 174.94/26.78 | | | | | | | | | | | | |
% 174.94/26.78 | | | | | | | | | | | | | REDUCE: (12310), (12335) imply:
% 174.94/26.78 | | | | | | | | | | | | | (12347) ~ (all_28_1 = e3)
% 174.94/26.78 | | | | | | | | | | | | |
% 174.94/26.78 | | | | | | | | | | | | | REDUCE: (666), (12333) imply:
% 174.94/26.78 | | | | | | | | | | | | | (12348) op(all_61_8, e3) = all_65_32
% 174.94/26.78 | | | | | | | | | | | | |
% 174.94/26.78 | | | | | | | | | | | | | REDUCE: (706), (12333) imply:
% 174.94/26.78 | | | | | | | | | | | | | (12349) op(e3, all_61_8) = all_65_8
% 174.94/26.78 | | | | | | | | | | | | |
% 174.94/26.78 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_2, all_65_8,
% 174.94/26.78 | | | | | | | | | | | | | all_61_8, e3, simplifying with (700), (12349)
% 174.94/26.78 | | | | | | | | | | | | | gives:
% 174.94/26.78 | | | | | | | | | | | | | (12350) all_65_2 = all_65_8
% 174.94/26.78 | | | | | | | | | | | | |
% 174.94/26.78 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_8, all_65_32, e3,
% 174.94/26.78 | | | | | | | | | | | | | all_61_8, simplifying with (642), (12348) gives:
% 174.94/26.78 | | | | | | | | | | | | | (12351) all_65_8 = all_65_32
% 174.94/26.78 | | | | | | | | | | | | |
% 174.94/26.78 | | | | | | | | | | | | | COMBINE_EQS: (12350), (12351) imply:
% 174.94/26.78 | | | | | | | | | | | | | (12352) all_65_2 = all_65_32
% 174.94/26.78 | | | | | | | | | | | | |
% 174.94/26.78 | | | | | | | | | | | | | REDUCE: (636), (12352) imply:
% 174.94/26.78 | | | | | | | | | | | | | (12353) op(all_14_2, e1) = all_65_32
% 174.94/26.78 | | | | | | | | | | | | |
% 174.94/26.78 | | | | | | | | | | | | | BETA: splitting (101) gives:
% 174.94/26.78 | | | | | | | | | | | | |
% 174.94/26.78 | | | | | | | | | | | | | Case 1:
% 174.94/26.78 | | | | | | | | | | | | | |
% 174.94/26.78 | | | | | | | | | | | | | | (12354) ~ (all_36_2 = e0)
% 174.94/26.78 | | | | | | | | | | | | | |
% 174.94/26.78 | | | | | | | | | | | | | | REDUCE: (557), (12354) imply:
% 174.94/26.78 | | | | | | | | | | | | | | (12355) ~ (all_14_2 = e0)
% 174.94/26.78 | | | | | | | | | | | | | |
% 174.94/26.78 | | | | | | | | | | | | | | BETA: splitting (107) gives:
% 174.94/26.78 | | | | | | | | | | | | | |
% 174.94/26.78 | | | | | | | | | | | | | | Case 1:
% 174.94/26.78 | | | | | | | | | | | | | | |
% 174.94/26.78 | | | | | | | | | | | | | | | (12356) ~ (all_40_2 = e1)
% 174.94/26.78 | | | | | | | | | | | | | | |
% 174.94/26.78 | | | | | | | | | | | | | | | REDUCE: (553), (12356) imply:
% 174.94/26.78 | | | | | | | | | | | | | | | (12357) ~ (all_14_2 = e1)
% 174.94/26.78 | | | | | | | | | | | | | | |
% 174.94/26.78 | | | | | | | | | | | | | | | BETA: splitting (271) gives:
% 174.94/26.78 | | | | | | | | | | | | | | |
% 174.94/26.78 | | | | | | | | | | | | | | | Case 1:
% 174.94/26.78 | | | | | | | | | | | | | | | |
% 174.94/26.78 | | | | | | | | | | | | | | | | (12358) all_63_0 = e3
% 174.94/26.78 | | | | | | | | | | | | | | | |
% 174.94/26.78 | | | | | | | | | | | | | | | | COMBINE_EQS: (588), (12358) imply:
% 174.94/26.78 | | | | | | | | | | | | | | | | (12359) all_14_2 = e3
% 174.94/26.78 | | | | | | | | | | | | | | | |
% 174.94/26.78 | | | | | | | | | | | | | | | | REDUCE: (593), (12359) imply:
% 174.94/26.78 | | | | | | | | | | | | | | | | (12360) ~ (all_61_1 = e3)
% 174.94/26.78 | | | | | | | | | | | | | | | |
% 174.94/26.78 | | | | | | | | | | | | | | | | REDUCE: (601), (12359) imply:
% 174.94/26.78 | | | | | | | | | | | | | | | | (12361) ~ (all_61_8 = e3)
% 174.94/26.78 | | | | | | | | | | | | | | | |
% 174.94/26.78 | | | | | | | | | | | | | | | | REDUCE: (635), (12359) imply:
% 174.94/26.78 | | | | | | | | | | | | | | | | (12362) op(e3, e2) = all_65_1
% 174.94/26.78 | | | | | | | | | | | | | | | |
% 174.94/26.78 | | | | | | | | | | | | | | | | REDUCE: (12353), (12359) imply:
% 174.94/26.78 | | | | | | | | | | | | | | | | (12363) op(e3, e1) = all_65_32
% 174.94/26.78 | | | | | | | | | | | | | | | |
% 174.94/26.78 | | | | | | | | | | | | | | | | REDUCE: (698), (12359) imply:
% 174.94/26.78 | | | | | | | | | | | | | | | | (12364) op(e3, e3) = all_65_0
% 174.94/26.78 | | | | | | | | | | | | | | | |
% 174.94/26.78 | | | | | | | | | | | | | | | | REDUCE: (67), (12359) imply:
% 174.94/26.78 | | | | | | | | | | | | | | | | (12365) op(e3, e3) = e3
% 174.94/26.78 | | | | | | | | | | | | | | | |
% 174.94/26.78 | | | | | | | | | | | | | | | | REDUCE: (715), (12359) imply:
% 174.94/26.78 | | | | | | | | | | | | | | | | (12366) op(e2, e3) = all_65_16
% 174.94/26.78 | | | | | | | | | | | | | | | |
% 174.94/26.78 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_1, all_65_16, e3,
% 174.94/26.78 | | | | | | | | | | | | | | | | e2, simplifying with (234), (12366) gives:
% 174.94/26.78 | | | | | | | | | | | | | | | | (12367) all_65_16 = all_61_1
% 174.94/26.78 | | | | | | | | | | | | | | | |
% 174.94/26.78 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_8, all_65_32, e1,
% 174.94/26.78 | | | | | | | | | | | | | | | | e3, simplifying with (236), (12363) gives:
% 174.94/26.78 | | | | | | | | | | | | | | | | (12368) all_65_32 = all_61_8
% 174.94/26.78 | | | | | | | | | | | | | | | |
% 174.94/26.78 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_4, all_65_1, e2,
% 174.94/26.78 | | | | | | | | | | | | | | | | e3, simplifying with (237), (12362) gives:
% 174.94/26.78 | | | | | | | | | | | | | | | | (12369) all_65_1 = all_61_4
% 174.94/26.78 | | | | | | | | | | | | | | | |
% 174.94/26.78 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e3, all_65_0, e3, e3,
% 174.94/26.78 | | | | | | | | | | | | | | | | simplifying with (12364), (12365) gives:
% 174.94/26.78 | | | | | | | | | | | | | | | | (12370) all_65_0 = e3
% 174.94/26.78 | | | | | | | | | | | | | | | |
% 174.94/26.78 | | | | | | | | | | | | | | | | REDUCE: (650), (12367) imply:
% 174.94/26.78 | | | | | | | | | | | | | | | | (12371) op(all_61_1, e3) = all_61_1
% 174.94/26.78 | | | | | | | | | | | | | | | |
% 174.94/26.78 | | | | | | | | | | | | | | | | REDUCE: (12348), (12368) imply:
% 174.94/26.79 | | | | | | | | | | | | | | | | (12372) op(all_61_8, e3) = all_61_8
% 174.94/26.79 | | | | | | | | | | | | | | | |
% 174.94/26.79 | | | | | | | | | | | | | | | | BETA: splitting (162) gives:
% 174.94/26.79 | | | | | | | | | | | | | | | |
% 174.94/26.79 | | | | | | | | | | | | | | | | Case 1:
% 174.94/26.79 | | | | | | | | | | | | | | | | |
% 174.94/26.79 | | | | | | | | | | | | | | | | | (12373) ~ (all_58_2 = e3)
% 174.94/26.79 | | | | | | | | | | | | | | | | |
% 174.94/26.79 | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (10), (50), (149), (150), (151), (157),
% 174.94/26.79 | | | | | | | | | | | | | | | | | (160), (161), (165), (168), (184), (190), (212),
% 174.94/26.79 | | | | | | | | | | | | | | | | | (213), (229), (231), (232), (234), (237), (260),
% 174.94/26.79 | | | | | | | | | | | | | | | | | (262), (264), (267), (269), (475), (478), (481),
% 174.94/26.79 | | | | | | | | | | | | | | | | | (484), (489), (493), (498), (501), (534), (536),
% 174.94/26.79 | | | | | | | | | | | | | | | | | (538), (628), (629), (630), (631), (632), (638),
% 174.94/26.79 | | | | | | | | | | | | | | | | | (651), (714), (731), (748), (11612), (11613),
% 174.94/26.79 | | | | | | | | | | | | | | | | | (11622), (11646), (11651), (11652), (11654),
% 174.94/26.79 | | | | | | | | | | | | | | | | | (11657), (11696), (11709), (11713), (11714),
% 174.94/26.79 | | | | | | | | | | | | | | | | | (11720), (11730), (12360), (12361), (12365),
% 174.94/26.79 | | | | | | | | | | | | | | | | | (12371), (12373) are inconsistent by sub-proof
% 174.94/26.79 | | | | | | | | | | | | | | | | | #195.
% 174.94/26.79 | | | | | | | | | | | | | | | | |
% 174.94/26.79 | | | | | | | | | | | | | | | | Case 2:
% 174.94/26.79 | | | | | | | | | | | | | | | | |
% 174.94/26.79 | | | | | | | | | | | | | | | | | (12374) all_58_0 = e1
% 174.94/26.79 | | | | | | | | | | | | | | | | |
% 174.94/26.79 | | | | | | | | | | | | | | | | | COMBINE_EQS: (484), (12374) imply:
% 174.94/26.79 | | | | | | | | | | | | | | | | | (12375) all_52_0 = e1
% 174.94/26.79 | | | | | | | | | | | | | | | | |
% 174.94/26.79 | | | | | | | | | | | | | | | | | SIMP: (12375) implies:
% 174.94/26.79 | | | | | | | | | | | | | | | | | (12376) all_52_0 = e1
% 174.94/26.79 | | | | | | | | | | | | | | | | |
% 174.94/26.79 | | | | | | | | | | | | | | | | | REDUCE: (714), (12376) imply:
% 174.94/26.79 | | | | | | | | | | | | | | | | | (12377) op(e3, e1) = unit
% 174.94/26.79 | | | | | | | | | | | | | | | | |
% 174.94/26.79 | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (50), (236), (12361), (12372), (12377) are
% 174.94/26.79 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #254.
% 174.94/26.79 | | | | | | | | | | | | | | | | |
% 174.94/26.79 | | | | | | | | | | | | | | | | End of split
% 174.94/26.79 | | | | | | | | | | | | | | | |
% 174.94/26.79 | | | | | | | | | | | | | | | Case 2:
% 174.94/26.79 | | | | | | | | | | | | | | | |
% 174.94/26.79 | | | | | | | | | | | | | | | | (12378) all_63_0 = e2 | all_63_0 = e1 | all_63_0 = e0
% 174.94/26.79 | | | | | | | | | | | | | | | |
% 174.94/26.79 | | | | | | | | | | | | | | | | REF_CLOSE: (588), (11700), (12355), (12357), (12378) are
% 174.94/26.79 | | | | | | | | | | | | | | | | inconsistent by sub-proof #503.
% 174.94/26.79 | | | | | | | | | | | | | | | |
% 174.94/26.79 | | | | | | | | | | | | | | | End of split
% 174.94/26.79 | | | | | | | | | | | | | | |
% 174.94/26.79 | | | | | | | | | | | | | | Case 2:
% 174.94/26.79 | | | | | | | | | | | | | | |
% 174.94/26.79 | | | | | | | | | | | | | | | (12379) all_40_2 = e1
% 174.94/26.79 | | | | | | | | | | | | | | | (12380) op(e3, e1) = all_40_1 & $i(all_40_1) & ( ~
% 174.94/26.79 | | | | | | | | | | | | | | | (all_40_1 = e0) | ( ~ (all_40_0 = e2) & op(e0,
% 174.94/26.79 | | | | | | | | | | | | | | | e3) = all_40_0 & $i(all_40_0)))
% 174.94/26.79 | | | | | | | | | | | | | | |
% 174.94/26.79 | | | | | | | | | | | | | | | ALPHA: (12380) implies:
% 174.94/26.79 | | | | | | | | | | | | | | | (12381) op(e3, e1) = all_40_1
% 174.94/26.79 | | | | | | | | | | | | | | |
% 174.94/26.79 | | | | | | | | | | | | | | | COMBINE_EQS: (553), (12379) imply:
% 174.94/26.79 | | | | | | | | | | | | | | | (12382) all_14_2 = e1
% 174.94/26.79 | | | | | | | | | | | | | | |
% 174.94/26.79 | | | | | | | | | | | | | | | SIMP: (12382) implies:
% 174.94/26.79 | | | | | | | | | | | | | | | (12383) all_14_2 = e1
% 174.94/26.79 | | | | | | | | | | | | | | |
% 174.94/26.79 | | | | | | | | | | | | | | | COMBINE_EQS: (466), (12383) imply:
% 174.94/26.79 | | | | | | | | | | | | | | | (12384) all_48_2 = e1
% 174.94/26.79 | | | | | | | | | | | | | | |
% 174.94/26.79 | | | | | | | | | | | | | | | REDUCE: (599), (12383) imply:
% 174.94/26.79 | | | | | | | | | | | | | | | (12385) ~ (all_61_4 = e1)
% 174.94/26.79 | | | | | | | | | | | | | | |
% 174.94/26.79 | | | | | | | | | | | | | | | REDUCE: (601), (12383) imply:
% 174.94/26.79 | | | | | | | | | | | | | | | (12386) ~ (all_61_8 = e1)
% 174.94/26.79 | | | | | | | | | | | | | | |
% 174.94/26.79 | | | | | | | | | | | | | | | REDUCE: (12345), (12383) imply:
% 174.94/26.79 | | | | | | | | | | | | | | | (12387) ~ (all_28_1 = e1)
% 174.94/26.79 | | | | | | | | | | | | | | |
% 174.94/26.79 | | | | | | | | | | | | | | | REDUCE: (635), (12383) imply:
% 174.94/26.79 | | | | | | | | | | | | | | | (12388) op(e1, e2) = all_65_1
% 174.94/26.79 | | | | | | | | | | | | | | |
% 174.94/26.79 | | | | | | | | | | | | | | | REDUCE: (698), (12383) imply:
% 174.94/26.79 | | | | | | | | | | | | | | | (12389) op(e3, e1) = all_65_0
% 174.94/26.79 | | | | | | | | | | | | | | |
% 174.94/26.79 | | | | | | | | | | | | | | | REDUCE: (715), (12383) imply:
% 174.94/26.79 | | | | | | | | | | | | | | | (12390) op(e2, e1) = all_65_16
% 174.94/26.79 | | | | | | | | | | | | | | |
% 174.94/26.79 | | | | | | | | | | | | | | | REDUCE: (732), (12383) imply:
% 174.94/26.79 | | | | | | | | | | | | | | | (12391) op(e1, e1) = all_65_32
% 174.94/26.79 | | | | | | | | | | | | | | |
% 174.94/26.79 | | | | | | | | | | | | | | | BETA: splitting (119) gives:
% 174.94/26.79 | | | | | | | | | | | | | | |
% 174.94/26.79 | | | | | | | | | | | | | | | Case 1:
% 174.94/26.79 | | | | | | | | | | | | | | | |
% 174.94/26.79 | | | | | | | | | | | | | | | | (12392) ~ (all_48_2 = e1)
% 174.94/26.79 | | | | | | | | | | | | | | | |
% 174.94/26.79 | | | | | | | | | | | | | | | | REDUCE: (12384), (12392) imply:
% 174.94/26.79 | | | | | | | | | | | | | | | | (12393) $false
% 174.94/26.79 | | | | | | | | | | | | | | | |
% 174.94/26.79 | | | | | | | | | | | | | | | | CLOSE: (12393) is inconsistent.
% 174.94/26.79 | | | | | | | | | | | | | | | |
% 174.94/26.79 | | | | | | | | | | | | | | | Case 2:
% 174.94/26.79 | | | | | | | | | | | | | | | |
% 174.94/26.79 | | | | | | | | | | | | | | | | (12394) op(e3, e1) = all_48_1 & $i(all_48_1) & ( ~
% 174.94/26.79 | | | | | | | | | | | | | | | | (all_48_1 = e2) | ( ~ (all_48_0 = e0) & op(e2,
% 174.94/26.79 | | | | | | | | | | | | | | | | e3) = all_48_0 & $i(all_48_0)))
% 174.94/26.79 | | | | | | | | | | | | | | | |
% 174.94/26.79 | | | | | | | | | | | | | | | | ALPHA: (12394) implies:
% 174.94/26.79 | | | | | | | | | | | | | | | | (12395) op(e3, e1) = all_48_1
% 174.94/26.79 | | | | | | | | | | | | | | | |
% 174.94/26.79 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e0, all_65_32, e1, e1,
% 174.94/26.79 | | | | | | | | | | | | | | | | simplifying with (11622), (12391) gives:
% 174.94/26.79 | | | | | | | | | | | | | | | | (12396) all_65_32 = e0
% 174.94/26.79 | | | | | | | | | | | | | | | |
% 174.94/26.79 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_6, all_65_1, e2,
% 174.94/26.79 | | | | | | | | | | | | | | | | e1, simplifying with (229), (12388) gives:
% 174.94/26.79 | | | | | | | | | | | | | | | | (12397) all_65_1 = all_61_6
% 174.94/26.79 | | | | | | | | | | | | | | | |
% 174.94/26.79 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_9, all_65_16, e1,
% 174.94/26.79 | | | | | | | | | | | | | | | | e2, simplifying with (232), (12390) gives:
% 174.94/26.79 | | | | | | | | | | | | | | | | (12398) all_65_16 = all_61_9
% 174.94/26.79 | | | | | | | | | | | | | | | |
% 174.94/26.79 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_8, all_48_1, e1,
% 174.94/26.79 | | | | | | | | | | | | | | | | e3, simplifying with (236), (12395) gives:
% 174.94/26.79 | | | | | | | | | | | | | | | | (12399) all_61_8 = all_48_1
% 174.94/26.79 | | | | | | | | | | | | | | | |
% 174.94/26.79 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_8, all_65_0, e1,
% 174.94/26.79 | | | | | | | | | | | | | | | | e3, simplifying with (236), (12389) gives:
% 174.94/26.79 | | | | | | | | | | | | | | | | (12400) all_65_0 = all_61_8
% 174.94/26.79 | | | | | | | | | | | | | | | |
% 174.94/26.79 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_40_1, all_65_0, e1,
% 174.94/26.79 | | | | | | | | | | | | | | | | e3, simplifying with (12381), (12389) gives:
% 174.94/26.79 | | | | | | | | | | | | | | | | (12401) all_65_0 = all_40_1
% 174.94/26.79 | | | | | | | | | | | | | | | |
% 174.94/26.79 | | | | | | | | | | | | | | | | COMBINE_EQS: (12400), (12401) imply:
% 174.94/26.79 | | | | | | | | | | | | | | | | (12402) all_61_8 = all_40_1
% 174.94/26.79 | | | | | | | | | | | | | | | |
% 174.94/26.79 | | | | | | | | | | | | | | | | SIMP: (12402) implies:
% 174.94/26.79 | | | | | | | | | | | | | | | | (12403) all_61_8 = all_40_1
% 174.94/26.79 | | | | | | | | | | | | | | | |
% 174.94/26.79 | | | | | | | | | | | | | | | | COMBINE_EQS: (12399), (12403) imply:
% 174.94/26.79 | | | | | | | | | | | | | | | | (12404) all_48_1 = all_40_1
% 174.94/26.79 | | | | | | | | | | | | | | | |
% 174.94/26.79 | | | | | | | | | | | | | | | | COMBINE_EQS: (12339), (12403) imply:
% 174.94/26.79 | | | | | | | | | | | | | | | | (12405) all_63_8 = all_40_1
% 174.94/26.79 | | | | | | | | | | | | | | | |
% 174.94/26.79 | | | | | | | | | | | | | | | | COMBINE_EQS: (489), (12403) imply:
% 174.94/26.79 | | | | | | | | | | | | | | | | (12406) all_63_2 = all_40_1
% 174.94/26.79 | | | | | | | | | | | | | | | |
% 174.94/26.79 | | | | | | | | | | | | | | | | REDUCE: (201), (12403) imply:
% 174.94/26.79 | | | | | | | | | | | | | | | | (12407) ~ (all_61_4 = all_40_1)
% 174.94/26.79 | | | | | | | | | | | | | | | |
% 174.94/26.79 | | | | | | | | | | | | | | | | REDUCE: (190), (12403) imply:
% 174.94/26.79 | | | | | | | | | | | | | | | | (12408) ~ (all_61_9 = all_40_1)
% 174.94/26.79 | | | | | | | | | | | | | | | |
% 174.94/26.79 | | | | | | | | | | | | | | | | SIMP: (12408) implies:
% 174.94/26.79 | | | | | | | | | | | | | | | | (12409) ~ (all_61_9 = all_40_1)
% 174.94/26.79 | | | | | | | | | | | | | | | |
% 174.94/26.79 | | | | | | | | | | | | | | | | REDUCE: (12342), (12403) imply:
% 174.94/26.79 | | | | | | | | | | | | | | | | (12410) ~ (all_40_1 = all_28_1)
% 174.94/26.79 | | | | | | | | | | | | | | | |
% 174.94/26.79 | | | | | | | | | | | | | | | | REDUCE: (11651), (12403) imply:
% 174.94/26.79 | | | | | | | | | | | | | | | | (12411) ~ (all_40_1 = all_8_1)
% 174.94/26.79 | | | | | | | | | | | | | | | |
% 174.94/26.79 | | | | | | | | | | | | | | | | REDUCE: (12386), (12403) imply:
% 174.94/26.79 | | | | | | | | | | | | | | | | (12412) ~ (all_40_1 = e1)
% 174.94/26.79 | | | | | | | | | | | | | | | |
% 174.94/26.79 | | | | | | | | | | | | | | | | REDUCE: (11612), (12403) imply:
% 174.94/26.79 | | | | | | | | | | | | | | | | (12413) ~ (all_40_1 = e0)
% 174.94/26.79 | | | | | | | | | | | | | | | |
% 174.94/26.79 | | | | | | | | | | | | | | | | BETA: splitting (161) gives:
% 174.94/26.79 | | | | | | | | | | | | | | | |
% 174.94/26.79 | | | | | | | | | | | | | | | | Case 1:
% 174.94/26.79 | | | | | | | | | | | | | | | | |
% 174.94/26.79 | | | | | | | | | | | | | | | | | (12414) ~ (all_58_2 = e2)
% 174.94/26.79 | | | | | | | | | | | | | | | | |
% 174.94/26.79 | | | | | | | | | | | | | | | | | REDUCE: (478), (12414) imply:
% 174.94/26.79 | | | | | | | | | | | | | | | | | (12415) ~ (all_52_2 = e2)
% 174.94/26.79 | | | | | | | | | | | | | | | | |
% 174.94/26.79 | | | | | | | | | | | | | | | | | BETA: splitting (164) gives:
% 174.94/26.79 | | | | | | | | | | | | | | | | |
% 174.94/26.79 | | | | | | | | | | | | | | | | | Case 1:
% 174.94/26.79 | | | | | | | | | | | | | | | | | |
% 174.94/26.79 | | | | | | | | | | | | | | | | | | (12416) ~ (all_58_1 = e1)
% 174.94/26.79 | | | | | | | | | | | | | | | | | |
% 174.94/26.79 | | | | | | | | | | | | | | | | | | REDUCE: (481), (12416) imply:
% 174.94/26.79 | | | | | | | | | | | | | | | | | | (12417) ~ (all_52_1 = e1)
% 174.94/26.79 | | | | | | | | | | | | | | | | | |
% 174.94/26.79 | | | | | | | | | | | | | | | | | | BETA: splitting (163) gives:
% 174.94/26.79 | | | | | | | | | | | | | | | | | |
% 174.94/26.79 | | | | | | | | | | | | | | | | | | Case 1:
% 174.94/26.79 | | | | | | | | | | | | | | | | | | |
% 174.94/26.79 | | | | | | | | | | | | | | | | | | | (12418) ~ (all_58_1 = e0)
% 174.94/26.79 | | | | | | | | | | | | | | | | | | |
% 174.94/26.79 | | | | | | | | | | | | | | | | | | | REDUCE: (481), (12418) imply:
% 174.94/26.79 | | | | | | | | | | | | | | | | | | | (12419) ~ (all_52_1 = e0)
% 174.94/26.79 | | | | | | | | | | | | | | | | | | |
% 174.94/26.79 | | | | | | | | | | | | | | | | | | | BETA: splitting (165) gives:
% 174.94/26.79 | | | | | | | | | | | | | | | | | | |
% 174.94/26.79 | | | | | | | | | | | | | | | | | | | Case 1:
% 174.94/26.79 | | | | | | | | | | | | | | | | | | | |
% 174.94/26.79 | | | | | | | | | | | | | | | | | | | | (12420) ~ (all_58_1 = e3)
% 174.94/26.79 | | | | | | | | | | | | | | | | | | | |
% 174.94/26.79 | | | | | | | | | | | | | | | | | | | | REDUCE: (481), (12420) imply:
% 174.94/26.79 | | | | | | | | | | | | | | | | | | | | (12421) ~ (all_52_1 = e3)
% 174.94/26.79 | | | | | | | | | | | | | | | | | | | |
% 174.94/26.79 | | | | | | | | | | | | | | | | | | | | BETA: splitting (150) gives:
% 174.94/26.79 | | | | | | | | | | | | | | | | | | | |
% 174.94/26.79 | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.94/26.79 | | | | | | | | | | | | | | | | | | | | |
% 174.94/26.79 | | | | | | | | | | | | | | | | | | | | | (12422) all_56_1 = e3
% 174.94/26.79 | | | | | | | | | | | | | | | | | | | | |
% 174.94/26.79 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (536), (12422) imply:
% 174.94/26.79 | | | | | | | | | | | | | | | | | | | | | (12423) all_52_1 = e3
% 174.94/26.79 | | | | | | | | | | | | | | | | | | | | |
% 174.94/26.79 | | | | | | | | | | | | | | | | | | | | | REDUCE: (12421), (12423) imply:
% 174.94/26.79 | | | | | | | | | | | | | | | | | | | | | (12424) $false
% 174.94/26.79 | | | | | | | | | | | | | | | | | | | | |
% 174.94/26.79 | | | | | | | | | | | | | | | | | | | | | CLOSE: (12424) is inconsistent.
% 174.94/26.79 | | | | | | | | | | | | | | | | | | | | |
% 174.94/26.79 | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.94/26.79 | | | | | | | | | | | | | | | | | | | | |
% 174.94/26.79 | | | | | | | | | | | | | | | | | | | | | (12425) all_56_1 = e2 | all_56_1 = e1 | all_56_1 = e0
% 174.94/26.79 | | | | | | | | | | | | | | | | | | | | |
% 174.94/26.79 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12425) gives:
% 174.94/26.79 | | | | | | | | | | | | | | | | | | | | |
% 174.94/26.79 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.94/26.79 | | | | | | | | | | | | | | | | | | | | | |
% 174.94/26.79 | | | | | | | | | | | | | | | | | | | | | | (12426) all_56_1 = e2
% 174.94/26.79 | | | | | | | | | | | | | | | | | | | | | |
% 174.94/26.79 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (536), (12426) imply:
% 174.94/26.79 | | | | | | | | | | | | | | | | | | | | | | (12427) all_52_1 = e2
% 174.94/26.79 | | | | | | | | | | | | | | | | | | | | | |
% 174.94/26.79 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (731), (12427) imply:
% 174.94/26.79 | | | | | | | | | | | | | | | | | | | | | | (12428) op(e2, e2) = unit
% 174.94/26.79 | | | | | | | | | | | | | | | | | | | | | |
% 174.94/26.79 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e2, unit, e2, e2,
% 174.94/26.79 | | | | | | | | | | | | | | | | | | | | | | simplifying with (11720), (12428) gives:
% 174.94/26.79 | | | | | | | | | | | | | | | | | | | | | | (12429) unit = e2
% 174.94/26.79 | | | | | | | | | | | | | | | | | | | | | |
% 174.94/26.79 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8), (12429) imply:
% 174.94/26.79 | | | | | | | | | | | | | | | | | | | | | | (12430) op(e2, e1) = e1
% 174.94/26.79 | | | | | | | | | | | | | | | | | | | | | |
% 174.94/26.79 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7), (12429) imply:
% 174.94/26.79 | | | | | | | | | | | | | | | | | | | | | | (12431) op(e2, e0) = e0
% 174.94/26.79 | | | | | | | | | | | | | | | | | | | | | |
% 174.94/26.79 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6), (12429) imply:
% 174.94/26.79 | | | | | | | | | | | | | | | | | | | | | | (12432) op(e3, e2) = e3
% 174.94/26.79 | | | | | | | | | | | | | | | | | | | | | |
% 174.94/26.79 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_13, e0, e0, e2,
% 174.94/26.79 | | | | | | | | | | | | | | | | | | | | | | simplifying with (231), (12431) gives:
% 174.94/26.79 | | | | | | | | | | | | | | | | | | | | | | (12433) all_61_13 = e0
% 174.94/26.79 | | | | | | | | | | | | | | | | | | | | | |
% 174.94/26.79 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_9, e1, e1, e2,
% 174.94/26.79 | | | | | | | | | | | | | | | | | | | | | | simplifying with (232), (12430) gives:
% 174.94/26.79 | | | | | | | | | | | | | | | | | | | | | | (12434) all_61_9 = e1
% 174.94/26.79 | | | | | | | | | | | | | | | | | | | | | |
% 174.94/26.79 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_4, e3, e2, e3,
% 174.94/26.79 | | | | | | | | | | | | | | | | | | | | | | simplifying with (237), (12432) gives:
% 174.94/26.79 | | | | | | | | | | | | | | | | | | | | | | (12435) all_61_4 = e3
% 174.94/26.79 | | | | | | | | | | | | | | | | | | | | | |
% 174.94/26.79 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12341), (12435) imply:
% 174.94/26.79 | | | | | | | | | | | | | | | | | | | | | | (12436) ~ (all_28_1 = e3)
% 174.94/26.79 | | | | | | | | | | | | | | | | | | | | | |
% 174.94/26.79 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12409), (12434) imply:
% 174.94/26.79 | | | | | | | | | | | | | | | | | | | | | | (12437) ~ (all_40_1 = e1)
% 174.94/26.79 | | | | | | | | | | | | | | | | | | | | | |
% 174.94/26.79 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12344), (12433) imply:
% 174.94/26.79 | | | | | | | | | | | | | | | | | | | | | | (12438) ~ (all_28_1 = e0)
% 174.94/26.79 | | | | | | | | | | | | | | | | | | | | | |
% 174.94/26.79 | | | | | | | | | | | | | | | | | | | | | | SIMP: (12438) implies:
% 174.94/26.79 | | | | | | | | | | | | | | | | | | | | | | (12439) ~ (all_28_1 = e0)
% 174.94/26.79 | | | | | | | | | | | | | | | | | | | | | |
% 174.94/26.79 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11654), (12433) imply:
% 174.94/26.79 | | | | | | | | | | | | | | | | | | | | | | (12440) ~ (all_8_1 = e0)
% 174.94/26.79 | | | | | | | | | | | | | | | | | | | | | |
% 174.94/26.79 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (259), (260), (263), (265), (268), (269), (497),
% 174.94/26.79 | | | | | | | | | | | | | | | | | | | | | | (11613), (11646), (11652), (11657), (11713),
% 174.94/26.79 | | | | | | | | | | | | | | | | | | | | | | (12338), (12340), (12346), (12347), (12387),
% 174.94/26.79 | | | | | | | | | | | | | | | | | | | | | | (12405), (12406), (12409), (12410), (12411),
% 174.94/26.79 | | | | | | | | | | | | | | | | | | | | | | (12412), (12413), (12439) are inconsistent by
% 174.94/26.79 | | | | | | | | | | | | | | | | | | | | | | sub-proof #173.
% 174.94/26.79 | | | | | | | | | | | | | | | | | | | | | |
% 174.94/26.79 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.94/26.79 | | | | | | | | | | | | | | | | | | | | | |
% 174.94/26.79 | | | | | | | | | | | | | | | | | | | | | | (12441) all_56_1 = e1 | all_56_1 = e0
% 174.94/26.79 | | | | | | | | | | | | | | | | | | | | | |
% 174.94/26.79 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (536), (12417), (12419), (12441) are inconsistent
% 174.94/26.79 | | | | | | | | | | | | | | | | | | | | | | by sub-proof #454.
% 174.94/26.79 | | | | | | | | | | | | | | | | | | | | | |
% 174.94/26.79 | | | | | | | | | | | | | | | | | | | | | End of split
% 174.94/26.79 | | | | | | | | | | | | | | | | | | | | |
% 174.94/26.79 | | | | | | | | | | | | | | | | | | | | End of split
% 174.94/26.79 | | | | | | | | | | | | | | | | | | | |
% 174.94/26.79 | | | | | | | | | | | | | | | | | | | Case 2:
% 174.94/26.79 | | | | | | | | | | | | | | | | | | | |
% 174.94/26.79 | | | | | | | | | | | | | | | | | | | | (12442) all_58_1 = e3
% 174.94/26.79 | | | | | | | | | | | | | | | | | | | | (12443) all_58_0 = e2
% 174.94/26.79 | | | | | | | | | | | | | | | | | | | |
% 174.94/26.79 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (484), (12443) imply:
% 174.94/26.79 | | | | | | | | | | | | | | | | | | | | (12444) all_52_0 = e2
% 174.94/26.79 | | | | | | | | | | | | | | | | | | | |
% 174.94/26.79 | | | | | | | | | | | | | | | | | | | | SIMP: (12444) implies:
% 174.94/26.79 | | | | | | | | | | | | | | | | | | | | (12445) all_52_0 = e2
% 174.94/26.79 | | | | | | | | | | | | | | | | | | | |
% 174.94/26.79 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (481), (12442) imply:
% 174.94/26.79 | | | | | | | | | | | | | | | | | | | | (12446) all_52_1 = e3
% 174.94/26.79 | | | | | | | | | | | | | | | | | | | |
% 174.94/26.79 | | | | | | | | | | | | | | | | | | | | SIMP: (12446) implies:
% 174.94/26.79 | | | | | | | | | | | | | | | | | | | | (12447) all_52_1 = e3
% 174.94/26.79 | | | | | | | | | | | | | | | | | | | |
% 174.94/26.79 | | | | | | | | | | | | | | | | | | | | REDUCE: (714), (12445) imply:
% 174.94/26.79 | | | | | | | | | | | | | | | | | | | | (12448) op(e3, e2) = unit
% 174.94/26.79 | | | | | | | | | | | | | | | | | | | |
% 174.94/26.79 | | | | | | | | | | | | | | | | | | | | REDUCE: (731), (12447) imply:
% 174.94/26.79 | | | | | | | | | | | | | | | | | | | | (12449) op(e2, e3) = unit
% 174.94/26.79 | | | | | | | | | | | | | | | | | | | |
% 174.94/26.79 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_1, unit, e3, e2,
% 174.94/26.79 | | | | | | | | | | | | | | | | | | | | simplifying with (234), (12449) gives:
% 174.94/26.79 | | | | | | | | | | | | | | | | | | | | (12450) all_61_1 = unit
% 174.94/26.79 | | | | | | | | | | | | | | | | | | | |
% 174.94/26.79 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_4, unit, e2, e3,
% 174.94/26.79 | | | | | | | | | | | | | | | | | | | | simplifying with (237), (12448) gives:
% 174.94/26.79 | | | | | | | | | | | | | | | | | | | | (12451) all_61_4 = unit
% 174.94/26.79 | | | | | | | | | | | | | | | | | | | |
% 174.94/26.79 | | | | | | | | | | | | | | | | | | | | REDUCE: (213), (12450) imply:
% 174.94/26.79 | | | | | | | | | | | | | | | | | | | | (12452) ~ (all_61_9 = unit)
% 174.94/26.79 | | | | | | | | | | | | | | | | | | | |
% 174.94/26.79 | | | | | | | | | | | | | | | | | | | | SIMP: (12452) implies:
% 174.94/26.79 | | | | | | | | | | | | | | | | | | | | (12453) ~ (all_61_9 = unit)
% 174.94/26.79 | | | | | | | | | | | | | | | | | | | |
% 174.94/26.79 | | | | | | | | | | | | | | | | | | | | REDUCE: (12407), (12451) imply:
% 174.94/26.79 | | | | | | | | | | | | | | | | | | | | (12454) ~ (all_40_1 = unit)
% 174.94/26.79 | | | | | | | | | | | | | | | | | | | |
% 174.94/26.79 | | | | | | | | | | | | | | | | | | | | SIMP: (12454) implies:
% 174.94/26.79 | | | | | | | | | | | | | | | | | | | | (12455) ~ (all_40_1 = unit)
% 174.94/26.79 | | | | | | | | | | | | | | | | | | | |
% 174.94/26.79 | | | | | | | | | | | | | | | | | | | | REDUCE: (12341), (12451) imply:
% 174.94/26.79 | | | | | | | | | | | | | | | | | | | | (12456) ~ (all_28_1 = unit)
% 174.94/26.79 | | | | | | | | | | | | | | | | | | | |
% 174.94/26.79 | | | | | | | | | | | | | | | | | | | | SIMP: (12456) implies:
% 174.94/26.79 | | | | | | | | | | | | | | | | | | | | (12457) ~ (all_28_1 = unit)
% 174.94/26.79 | | | | | | | | | | | | | | | | | | | |
% 174.94/26.79 | | | | | | | | | | | | | | | | | | | | REDUCE: (11710), (12451) imply:
% 174.94/26.79 | | | | | | | | | | | | | | | | | | | | (12458) ~ (unit = e2)
% 174.94/26.79 | | | | | | | | | | | | | | | | | | | |
% 174.94/26.79 | | | | | | | | | | | | | | | | | | | | REDUCE: (12385), (12451) imply:
% 174.94/26.79 | | | | | | | | | | | | | | | | | | | | (12459) ~ (unit = e1)
% 174.94/26.79 | | | | | | | | | | | | | | | | | | | |
% 174.94/26.79 | | | | | | | | | | | | | | | | | | | | BETA: splitting (11697) gives:
% 174.94/26.79 | | | | | | | | | | | | | | | | | | | |
% 174.94/26.79 | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.94/26.79 | | | | | | | | | | | | | | | | | | | | |
% 174.94/26.79 | | | | | | | | | | | | | | | | | | | | | (12460) unit = e2
% 174.94/26.79 | | | | | | | | | | | | | | | | | | | | |
% 174.94/26.79 | | | | | | | | | | | | | | | | | | | | | REDUCE: (12458), (12460) imply:
% 174.94/26.79 | | | | | | | | | | | | | | | | | | | | | (12461) $false
% 174.94/26.79 | | | | | | | | | | | | | | | | | | | | |
% 174.94/26.79 | | | | | | | | | | | | | | | | | | | | | CLOSE: (12461) is inconsistent.
% 174.94/26.79 | | | | | | | | | | | | | | | | | | | | |
% 174.94/26.79 | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.94/26.79 | | | | | | | | | | | | | | | | | | | | |
% 174.94/26.79 | | | | | | | | | | | | | | | | | | | | | (12462) unit = e1 | unit = e0
% 174.94/26.79 | | | | | | | | | | | | | | | | | | | | |
% 174.94/26.79 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12462) gives:
% 174.94/26.79 | | | | | | | | | | | | | | | | | | | | |
% 174.94/26.79 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.94/26.79 | | | | | | | | | | | | | | | | | | | | | |
% 174.94/26.79 | | | | | | | | | | | | | | | | | | | | | | (12463) unit = e1
% 174.94/26.79 | | | | | | | | | | | | | | | | | | | | | |
% 174.94/26.79 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12459), (12463) imply:
% 174.94/26.79 | | | | | | | | | | | | | | | | | | | | | | (12464) $false
% 174.94/26.79 | | | | | | | | | | | | | | | | | | | | | |
% 174.94/26.79 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (12464) is inconsistent.
% 174.94/26.79 | | | | | | | | | | | | | | | | | | | | | |
% 174.94/26.79 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.94/26.79 | | | | | | | | | | | | | | | | | | | | | |
% 174.94/26.79 | | | | | | | | | | | | | | | | | | | | | | (12465) unit = e0
% 174.94/26.79 | | | | | | | | | | | | | | | | | | | | | |
% 174.94/26.79 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12457), (12465) imply:
% 174.94/26.79 | | | | | | | | | | | | | | | | | | | | | | (12466) ~ (all_28_1 = e0)
% 174.94/26.79 | | | | | | | | | | | | | | | | | | | | | |
% 174.94/26.79 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (259), (260), (263), (265), (268), (269), (497),
% 174.94/26.79 | | | | | | | | | | | | | | | | | | | | | | (11613), (11646), (11652), (11657), (11713),
% 174.94/26.79 | | | | | | | | | | | | | | | | | | | | | | (12338), (12340), (12346), (12347), (12387),
% 174.94/26.79 | | | | | | | | | | | | | | | | | | | | | | (12405), (12406), (12409), (12410), (12411),
% 174.94/26.79 | | | | | | | | | | | | | | | | | | | | | | (12412), (12413), (12466) are inconsistent by
% 174.94/26.79 | | | | | | | | | | | | | | | | | | | | | | sub-proof #173.
% 174.94/26.79 | | | | | | | | | | | | | | | | | | | | | |
% 174.94/26.79 | | | | | | | | | | | | | | | | | | | | | End of split
% 174.94/26.79 | | | | | | | | | | | | | | | | | | | | |
% 174.94/26.79 | | | | | | | | | | | | | | | | | | | | End of split
% 174.94/26.79 | | | | | | | | | | | | | | | | | | | |
% 174.94/26.79 | | | | | | | | | | | | | | | | | | | End of split
% 174.94/26.79 | | | | | | | | | | | | | | | | | | |
% 174.94/26.79 | | | | | | | | | | | | | | | | | | Case 2:
% 174.94/26.79 | | | | | | | | | | | | | | | | | | |
% 174.94/26.79 | | | | | | | | | | | | | | | | | | | (12467) all_58_3 = e2
% 174.94/26.79 | | | | | | | | | | | | | | | | | | | (12468) all_58_1 = e0
% 174.94/26.79 | | | | | | | | | | | | | | | | | | |
% 174.94/26.79 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (481), (12468) imply:
% 174.94/26.79 | | | | | | | | | | | | | | | | | | | (12469) all_52_1 = e0
% 174.94/26.79 | | | | | | | | | | | | | | | | | | |
% 174.94/26.79 | | | | | | | | | | | | | | | | | | | SIMP: (12469) implies:
% 174.94/26.79 | | | | | | | | | | | | | | | | | | | (12470) all_52_1 = e0
% 174.94/26.79 | | | | | | | | | | | | | | | | | | |
% 174.94/26.79 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (475), (12467) imply:
% 174.94/26.79 | | | | | | | | | | | | | | | | | | | (12471) all_52_3 = e2
% 174.94/26.79 | | | | | | | | | | | | | | | | | | |
% 174.94/26.79 | | | | | | | | | | | | | | | | | | | SIMP: (12471) implies:
% 174.94/26.79 | | | | | | | | | | | | | | | | | | | (12472) all_52_3 = e2
% 174.94/26.79 | | | | | | | | | | | | | | | | | | |
% 174.94/26.79 | | | | | | | | | | | | | | | | | | | REDUCE: (731), (12470) imply:
% 174.94/26.79 | | | | | | | | | | | | | | | | | | | (12473) op(e2, e0) = unit
% 174.94/26.79 | | | | | | | | | | | | | | | | | | |
% 174.94/26.79 | | | | | | | | | | | | | | | | | | | REDUCE: (765), (12472) imply:
% 174.94/26.79 | | | | | | | | | | | | | | | | | | | (12474) op(e0, e2) = unit
% 174.94/26.79 | | | | | | | | | | | | | | | | | | |
% 174.94/26.79 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (50), (225), (231), (663), (11714), (11731),
% 174.94/26.79 | | | | | | | | | | | | | | | | | | | (12473), (12474) are inconsistent by sub-proof
% 174.94/26.79 | | | | | | | | | | | | | | | | | | | #458.
% 174.94/26.79 | | | | | | | | | | | | | | | | | | |
% 174.94/26.79 | | | | | | | | | | | | | | | | | | End of split
% 174.94/26.79 | | | | | | | | | | | | | | | | | |
% 174.94/26.79 | | | | | | | | | | | | | | | | | Case 2:
% 174.94/26.79 | | | | | | | | | | | | | | | | | |
% 174.94/26.79 | | | | | | | | | | | | | | | | | | (12475) all_58_2 = e2
% 174.94/26.79 | | | | | | | | | | | | | | | | | |
% 174.94/26.79 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (478), (12475) imply:
% 174.94/26.79 | | | | | | | | | | | | | | | | | | (12476) all_52_2 = e2
% 174.94/26.79 | | | | | | | | | | | | | | | | | |
% 174.94/26.79 | | | | | | | | | | | | | | | | | | REDUCE: (12415), (12476) imply:
% 174.94/26.79 | | | | | | | | | | | | | | | | | | (12477) $false
% 174.94/26.79 | | | | | | | | | | | | | | | | | |
% 174.94/26.79 | | | | | | | | | | | | | | | | | | CLOSE: (12477) is inconsistent.
% 174.94/26.79 | | | | | | | | | | | | | | | | | |
% 174.94/26.79 | | | | | | | | | | | | | | | | | End of split
% 174.94/26.79 | | | | | | | | | | | | | | | | |
% 174.94/26.79 | | | | | | | | | | | | | | | | Case 2:
% 174.94/26.79 | | | | | | | | | | | | | | | | |
% 174.94/26.79 | | | | | | | | | | | | | | | | | (12478) all_58_2 = e2
% 174.94/26.79 | | | | | | | | | | | | | | | | | (12479) all_58_1 = e1
% 174.94/26.79 | | | | | | | | | | | | | | | | |
% 174.94/26.79 | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (50), (229), (232), (478), (481), (731),
% 174.94/26.79 | | | | | | | | | | | | | | | | | (738), (748), (11613), (11622), (11659), (11673),
% 174.94/26.79 | | | | | | | | | | | | | | | | | (11697), (11713), (12478), (12479) are
% 174.94/26.79 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #183.
% 174.94/26.79 | | | | | | | | | | | | | | | | |
% 174.94/26.79 | | | | | | | | | | | | | | | | End of split
% 174.94/26.79 | | | | | | | | | | | | | | | |
% 174.94/26.79 | | | | | | | | | | | | | | | End of split
% 174.94/26.79 | | | | | | | | | | | | | | |
% 174.94/26.79 | | | | | | | | | | | | | | End of split
% 174.94/26.79 | | | | | | | | | | | | | |
% 174.94/26.79 | | | | | | | | | | | | | Case 2:
% 174.94/26.79 | | | | | | | | | | | | | |
% 174.94/26.79 | | | | | | | | | | | | | | (12480) all_36_2 = e0
% 174.94/26.79 | | | | | | | | | | | | | |
% 174.94/26.79 | | | | | | | | | | | | | | COMBINE_EQS: (557), (12480) imply:
% 174.94/26.79 | | | | | | | | | | | | | | (12481) all_14_2 = e0
% 174.94/26.79 | | | | | | | | | | | | | |
% 174.94/26.79 | | | | | | | | | | | | | | REDUCE: (715), (12481) imply:
% 174.94/26.79 | | | | | | | | | | | | | | (12482) op(e2, e0) = all_65_16
% 174.94/26.79 | | | | | | | | | | | | | |
% 174.94/26.79 | | | | | | | | | | | | | | REDUCE: (732), (12481) imply:
% 174.94/26.79 | | | | | | | | | | | | | | (12483) op(e1, e0) = all_65_32
% 174.94/26.79 | | | | | | | | | | | | | |
% 174.94/26.79 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_8_1, all_65_32, e0,
% 174.94/26.79 | | | | | | | | | | | | | | e1, simplifying with (11606), (12483) gives:
% 174.94/26.79 | | | | | | | | | | | | | | (12484) all_65_32 = all_8_1
% 174.94/26.79 | | | | | | | | | | | | | |
% 174.94/26.79 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_13, all_65_16, e0,
% 174.94/26.79 | | | | | | | | | | | | | | e2, simplifying with (231), (12482) gives:
% 174.94/26.79 | | | | | | | | | | | | | | (12485) all_65_16 = all_61_13
% 174.94/26.79 | | | | | | | | | | | | | |
% 174.94/26.79 | | | | | | | | | | | | | | REDUCE: (12348), (12484) imply:
% 174.94/26.79 | | | | | | | | | | | | | | (12486) op(all_61_8, e3) = all_8_1
% 174.94/26.79 | | | | | | | | | | | | | |
% 174.94/26.79 | | | | | | | | | | | | | | BETA: splitting (157) gives:
% 174.94/26.79 | | | | | | | | | | | | | |
% 174.94/26.79 | | | | | | | | | | | | | | Case 1:
% 174.94/26.79 | | | | | | | | | | | | | | |
% 174.94/26.79 | | | | | | | | | | | | | | | (12487) ~ (all_58_3 = e1)
% 174.94/26.79 | | | | | | | | | | | | | | |
% 174.94/26.79 | | | | | | | | | | | | | | | REDUCE: (475), (12487) imply:
% 174.94/26.79 | | | | | | | | | | | | | | | (12488) ~ (all_52_3 = e1)
% 174.94/26.79 | | | | | | | | | | | | | | |
% 174.94/26.79 | | | | | | | | | | | | | | | BETA: splitting (160) gives:
% 174.94/26.79 | | | | | | | | | | | | | | |
% 174.94/26.79 | | | | | | | | | | | | | | | Case 1:
% 174.94/26.79 | | | | | | | | | | | | | | | |
% 174.94/26.79 | | | | | | | | | | | | | | | | (12489) ~ (all_58_2 = e0)
% 174.94/26.79 | | | | | | | | | | | | | | | |
% 174.94/26.79 | | | | | | | | | | | | | | | | REDUCE: (478), (12489) imply:
% 174.94/26.79 | | | | | | | | | | | | | | | | (12490) ~ (all_52_2 = e0)
% 174.94/26.79 | | | | | | | | | | | | | | | |
% 174.94/26.79 | | | | | | | | | | | | | | | | BETA: splitting (162) gives:
% 174.94/26.79 | | | | | | | | | | | | | | | |
% 174.94/26.79 | | | | | | | | | | | | | | | | Case 1:
% 174.94/26.79 | | | | | | | | | | | | | | | | |
% 174.94/26.79 | | | | | | | | | | | | | | | | | (12491) ~ (all_58_2 = e3)
% 174.94/26.79 | | | | | | | | | | | | | | | | |
% 174.94/26.79 | | | | | | | | | | | | | | | | | REDUCE: (478), (12491) imply:
% 174.94/26.79 | | | | | | | | | | | | | | | | | (12492) ~ (all_52_2 = e3)
% 174.94/26.79 | | | | | | | | | | | | | | | | |
% 174.94/26.79 | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (50), (149), (161), (229), (231), (232),
% 174.94/26.79 | | | | | | | | | | | | | | | | | (478), (481), (538), (731), (738), (748), (11613),
% 174.94/26.79 | | | | | | | | | | | | | | | | | (11622), (11659), (11673), (11697), (11713),
% 174.94/26.79 | | | | | | | | | | | | | | | | | (11714), (12490), (12492) are inconsistent by
% 174.94/26.79 | | | | | | | | | | | | | | | | | sub-proof #171.
% 174.94/26.79 | | | | | | | | | | | | | | | | |
% 174.94/26.79 | | | | | | | | | | | | | | | | Case 2:
% 174.94/26.79 | | | | | | | | | | | | | | | | |
% 174.94/26.79 | | | | | | | | | | | | | | | | | (12493) all_58_0 = e1
% 174.97/26.79 | | | | | | | | | | | | | | | | |
% 174.97/26.79 | | | | | | | | | | | | | | | | | COMBINE_EQS: (484), (12493) imply:
% 174.97/26.79 | | | | | | | | | | | | | | | | | (12494) all_52_0 = e1
% 174.97/26.79 | | | | | | | | | | | | | | | | |
% 174.97/26.79 | | | | | | | | | | | | | | | | | SIMP: (12494) implies:
% 174.97/26.79 | | | | | | | | | | | | | | | | | (12495) all_52_0 = e1
% 174.97/26.79 | | | | | | | | | | | | | | | | |
% 174.97/26.79 | | | | | | | | | | | | | | | | | REDUCE: (714), (12495) imply:
% 174.97/26.79 | | | | | | | | | | | | | | | | | (12496) op(e3, e1) = unit
% 174.97/26.79 | | | | | | | | | | | | | | | | |
% 174.97/26.79 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_8, unit, e1, e3,
% 174.97/26.79 | | | | | | | | | | | | | | | | | simplifying with (236), (12496) gives:
% 174.97/26.79 | | | | | | | | | | | | | | | | | (12497) all_61_8 = unit
% 174.97/26.79 | | | | | | | | | | | | | | | | |
% 174.97/26.79 | | | | | | | | | | | | | | | | | REDUCE: (12486), (12497) imply:
% 174.97/26.79 | | | | | | | | | | | | | | | | | (12498) op(unit, e3) = all_8_1
% 174.97/26.79 | | | | | | | | | | | | | | | | |
% 174.97/26.79 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e3, all_8_1, e3, unit,
% 174.97/26.79 | | | | | | | | | | | | | | | | | simplifying with (10), (12498) gives:
% 174.97/26.79 | | | | | | | | | | | | | | | | | (12499) all_8_1 = e3
% 174.97/26.79 | | | | | | | | | | | | | | | | |
% 174.97/26.79 | | | | | | | | | | | | | | | | | REDUCE: (12312), (12499) imply:
% 174.97/26.79 | | | | | | | | | | | | | | | | | (12500) $false
% 174.97/26.79 | | | | | | | | | | | | | | | | |
% 174.97/26.79 | | | | | | | | | | | | | | | | | CLOSE: (12500) is inconsistent.
% 174.97/26.79 | | | | | | | | | | | | | | | | |
% 174.97/26.79 | | | | | | | | | | | | | | | | End of split
% 174.97/26.79 | | | | | | | | | | | | | | | |
% 174.97/26.79 | | | | | | | | | | | | | | | Case 2:
% 174.97/26.79 | | | | | | | | | | | | | | | |
% 174.97/26.79 | | | | | | | | | | | | | | | | (12501) all_58_3 = e1
% 174.97/26.79 | | | | | | | | | | | | | | | |
% 174.97/26.79 | | | | | | | | | | | | | | | | REF_CLOSE: (475), (12488), (12501) are inconsistent by
% 174.97/26.79 | | | | | | | | | | | | | | | | sub-proof #460.
% 174.97/26.79 | | | | | | | | | | | | | | | |
% 174.97/26.79 | | | | | | | | | | | | | | | End of split
% 174.97/26.79 | | | | | | | | | | | | | | |
% 174.97/26.79 | | | | | | | | | | | | | | Case 2:
% 174.97/26.79 | | | | | | | | | | | | | | |
% 174.97/26.79 | | | | | | | | | | | | | | | (12502) all_58_2 = e0
% 174.97/26.79 | | | | | | | | | | | | | | |
% 174.97/26.79 | | | | | | | | | | | | | | | COMBINE_EQS: (478), (12502) imply:
% 174.97/26.79 | | | | | | | | | | | | | | | (12503) all_52_2 = e0
% 174.97/26.79 | | | | | | | | | | | | | | |
% 174.97/26.79 | | | | | | | | | | | | | | | SIMP: (12503) implies:
% 174.97/26.79 | | | | | | | | | | | | | | | (12504) all_52_2 = e0
% 174.97/26.79 | | | | | | | | | | | | | | |
% 174.97/26.79 | | | | | | | | | | | | | | | REDUCE: (748), (12504) imply:
% 174.97/26.79 | | | | | | | | | | | | | | | (12505) op(e1, e0) = unit
% 174.97/26.79 | | | | | | | | | | | | | | |
% 174.97/26.79 | | | | | | | | | | | | | | | REF_CLOSE: (8), (22), (50), (11606), (12317), (12505) are
% 174.97/26.79 | | | | | | | | | | | | | | | inconsistent by sub-proof #170.
% 174.97/26.79 | | | | | | | | | | | | | | |
% 174.97/26.79 | | | | | | | | | | | | | | End of split
% 174.97/26.79 | | | | | | | | | | | | | |
% 174.97/26.79 | | | | | | | | | | | | | End of split
% 174.97/26.79 | | | | | | | | | | | | |
% 174.97/26.80 | | | | | | | | | | | | End of split
% 174.97/26.80 | | | | | | | | | | | |
% 174.97/26.80 | | | | | | | | | | | Case 2:
% 174.97/26.80 | | | | | | | | | | | |
% 174.97/26.80 | | | | | | | | | | | | (12506) all_63_5 = e1 | all_63_5 = e0
% 174.97/26.80 | | | | | | | | | | | |
% 174.97/26.80 | | | | | | | | | | | | REF_CLOSE: (587), (11699), (11703), (12506) are inconsistent
% 174.97/26.80 | | | | | | | | | | | | by sub-proof #524.
% 174.97/26.80 | | | | | | | | | | | |
% 174.97/26.80 | | | | | | | | | | | End of split
% 174.97/26.80 | | | | | | | | | | |
% 174.97/26.80 | | | | | | | | | | End of split
% 174.97/26.80 | | | | | | | | | |
% 174.97/26.80 | | | | | | | | | Case 2:
% 174.97/26.80 | | | | | | | | | |
% 174.97/26.80 | | | | | | | | | | (12507) all_22_2 = e0
% 174.97/26.80 | | | | | | | | | | (12508) op(e2, e0) = all_22_1 & $i(all_22_1) & ( ~
% 174.97/26.80 | | | | | | | | | | (all_22_1 = e1) | ( ~ (all_22_0 = e3) & op(e1,
% 174.97/26.80 | | | | | | | | | | e2) = all_22_0 & $i(all_22_0)))
% 174.97/26.80 | | | | | | | | | |
% 174.97/26.80 | | | | | | | | | | ALPHA: (12508) implies:
% 174.97/26.80 | | | | | | | | | | (12509) op(e2, e0) = all_22_1
% 174.97/26.80 | | | | | | | | | |
% 174.97/26.80 | | | | | | | | | | COMBINE_EQS: (449), (12507) imply:
% 174.97/26.80 | | | | | | | | | | (12510) all_6_2 = e0
% 174.97/26.80 | | | | | | | | | |
% 174.97/26.80 | | | | | | | | | | SIMP: (12510) implies:
% 174.97/26.80 | | | | | | | | | | (12511) all_6_2 = e0
% 174.97/26.80 | | | | | | | | | |
% 174.97/26.80 | | | | | | | | | | COMBINE_EQS: (580), (12511) imply:
% 174.97/26.80 | | | | | | | | | | (12512) all_38_2 = e0
% 174.97/26.80 | | | | | | | | | |
% 174.97/26.80 | | | | | | | | | | REDUCE: (604), (12511) imply:
% 174.97/26.80 | | | | | | | | | | (12513) ~ (all_61_1 = e0)
% 174.97/26.80 | | | | | | | | | |
% 174.97/26.80 | | | | | | | | | | REDUCE: (607), (12511) imply:
% 174.97/26.80 | | | | | | | | | | (12514) ~ (all_61_4 = e0)
% 174.97/26.80 | | | | | | | | | |
% 174.97/26.80 | | | | | | | | | | REDUCE: (615), (12511) imply:
% 174.97/26.80 | | | | | | | | | | (12515) ~ (all_61_13 = e0)
% 174.97/26.80 | | | | | | | | | |
% 174.97/26.80 | | | | | | | | | | REDUCE: (654), (12511) imply:
% 174.97/26.80 | | | | | | | | | | (12516) op(e0, e3) = all_65_20
% 174.97/26.80 | | | | | | | | | |
% 174.97/26.80 | | | | | | | | | | REDUCE: (655), (12511) imply:
% 174.97/26.80 | | | | | | | | | | (12517) op(e0, e2) = all_65_21
% 174.97/26.80 | | | | | | | | | |
% 174.97/26.80 | | | | | | | | | | REDUCE: (656), (12511) imply:
% 174.97/26.80 | | | | | | | | | | (12518) op(e0, e1) = all_65_22
% 174.97/26.80 | | | | | | | | | |
% 174.97/26.80 | | | | | | | | | | REDUCE: (657), (12511) imply:
% 174.97/26.80 | | | | | | | | | | (12519) op(e0, e0) = all_65_23
% 174.97/26.80 | | | | | | | | | |
% 174.97/26.80 | | | | | | | | | | REDUCE: (703), (12511) imply:
% 174.97/26.80 | | | | | | | | | | (12520) op(e3, e0) = all_65_5
% 174.97/26.80 | | | | | | | | | |
% 174.97/26.80 | | | | | | | | | | REDUCE: (720), (12511) imply:
% 174.97/26.80 | | | | | | | | | | (12521) op(e2, e0) = all_65_21
% 174.97/26.80 | | | | | | | | | |
% 174.97/26.80 | | | | | | | | | | REDUCE: (55), (12511) imply:
% 174.97/26.80 | | | | | | | | | | (12522) op(e2, e2) = e0
% 174.97/26.80 | | | | | | | | | |
% 174.97/26.80 | | | | | | | | | | REDUCE: (737), (12511) imply:
% 174.97/26.80 | | | | | | | | | | (12523) op(e1, e0) = all_65_37
% 174.97/26.80 | | | | | | | | | |
% 174.97/26.80 | | | | | | | | | | REDUCE: (754), (12511) imply:
% 174.97/26.80 | | | | | | | | | | (12524) op(e0, e0) = all_65_59
% 174.97/26.80 | | | | | | | | | |
% 174.97/26.80 | | | | | | | | | | BETA: splitting (104) gives:
% 174.97/26.80 | | | | | | | | | |
% 174.97/26.80 | | | | | | | | | | Case 1:
% 174.97/26.80 | | | | | | | | | | |
% 174.97/26.80 | | | | | | | | | | | (12525) ~ (all_38_2 = e0)
% 174.97/26.80 | | | | | | | | | | |
% 174.97/26.80 | | | | | | | | | | | REDUCE: (12512), (12525) imply:
% 174.97/26.80 | | | | | | | | | | | (12526) $false
% 174.97/26.80 | | | | | | | | | | |
% 174.97/26.80 | | | | | | | | | | | CLOSE: (12526) is inconsistent.
% 174.97/26.80 | | | | | | | | | | |
% 174.97/26.80 | | | | | | | | | | Case 2:
% 174.97/26.80 | | | | | | | | | | |
% 174.97/26.80 | | | | | | | | | | | (12527) op(e2, e0) = all_38_1 & $i(all_38_1) & ( ~
% 174.97/26.80 | | | | | | | | | | | (all_38_1 = e3) | ( ~ (all_38_0 = e1) & op(e3,
% 174.97/26.80 | | | | | | | | | | | e2) = all_38_0 & $i(all_38_0)))
% 174.97/26.80 | | | | | | | | | | |
% 174.97/26.80 | | | | | | | | | | | ALPHA: (12527) implies:
% 174.97/26.80 | | | | | | | | | | | (12528) op(e2, e0) = all_38_1
% 174.97/26.80 | | | | | | | | | | | (12529) ~ (all_38_1 = e3) | ( ~ (all_38_0 = e1) & op(e3,
% 174.97/26.80 | | | | | | | | | | | e2) = all_38_0 & $i(all_38_0))
% 174.97/26.80 | | | | | | | | | | |
% 174.97/26.80 | | | | | | | | | | | GROUND_INST: instantiating (50) with all_20_2, all_65_23, e0,
% 174.97/26.80 | | | | | | | | | | | e0, simplifying with (76), (12519) gives:
% 174.97/26.80 | | | | | | | | | | | (12530) all_65_23 = all_20_2
% 174.97/26.80 | | | | | | | | | | |
% 174.97/26.80 | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_59, all_65_23, e0,
% 174.97/26.80 | | | | | | | | | | | e0, simplifying with (12519), (12524) gives:
% 174.97/26.80 | | | | | | | | | | | (12531) all_65_23 = all_65_59
% 174.97/26.80 | | | | | | | | | | |
% 174.97/26.80 | | | | | | | | | | | GROUND_INST: instantiating (50) with all_8_1, all_65_22, e1,
% 174.97/26.80 | | | | | | | | | | | e0, simplifying with (11676), (12518) gives:
% 174.97/26.80 | | | | | | | | | | | (12532) all_65_22 = all_8_1
% 174.97/26.80 | | | | | | | | | | |
% 174.97/26.80 | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_7, all_65_21, e2,
% 174.97/26.80 | | | | | | | | | | | e0, simplifying with (225), (12517) gives:
% 174.97/26.80 | | | | | | | | | | | (12533) all_65_21 = all_61_7
% 174.97/26.80 | | | | | | | | | | |
% 174.97/26.80 | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_3, all_65_20, e3,
% 174.97/26.80 | | | | | | | | | | | e0, simplifying with (226), (12516) gives:
% 174.97/26.80 | | | | | | | | | | | (12534) all_65_20 = all_61_3
% 174.97/26.80 | | | | | | | | | | |
% 174.97/26.80 | | | | | | | | | | | GROUND_INST: instantiating (50) with all_8_1, all_65_37, e0,
% 174.97/26.80 | | | | | | | | | | | e1, simplifying with (11606), (12523) gives:
% 174.97/26.80 | | | | | | | | | | | (12535) all_65_37 = all_8_1
% 174.97/26.80 | | | | | | | | | | |
% 174.97/26.80 | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_13, all_22_1, e0,
% 174.97/26.80 | | | | | | | | | | | e2, simplifying with (231), (12509) gives:
% 174.97/26.80 | | | | | | | | | | | (12536) all_61_13 = all_22_1
% 174.97/26.80 | | | | | | | | | | |
% 174.97/26.80 | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_13, all_65_21, e0,
% 174.97/26.80 | | | | | | | | | | | e2, simplifying with (231), (12521) gives:
% 174.97/26.80 | | | | | | | | | | | (12537) all_65_21 = all_61_13
% 174.97/26.80 | | | | | | | | | | |
% 174.97/26.80 | | | | | | | | | | | GROUND_INST: instantiating (50) with all_38_1, all_65_21, e0,
% 174.97/26.80 | | | | | | | | | | | e2, simplifying with (12521), (12528) gives:
% 174.97/26.80 | | | | | | | | | | | (12538) all_65_21 = all_38_1
% 174.97/26.80 | | | | | | | | | | |
% 174.97/26.80 | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_12, all_65_5, e0,
% 174.97/26.80 | | | | | | | | | | | e3, simplifying with (235), (12520) gives:
% 174.97/26.80 | | | | | | | | | | | (12539) all_65_5 = all_61_12
% 174.97/26.80 | | | | | | | | | | |
% 174.97/26.80 | | | | | | | | | | | COMBINE_EQS: (12533), (12538) imply:
% 174.97/26.80 | | | | | | | | | | | (12540) all_61_7 = all_38_1
% 174.97/26.80 | | | | | | | | | | |
% 174.97/26.80 | | | | | | | | | | | SIMP: (12540) implies:
% 174.97/26.80 | | | | | | | | | | | (12541) all_61_7 = all_38_1
% 174.97/26.80 | | | | | | | | | | |
% 174.97/26.80 | | | | | | | | | | | COMBINE_EQS: (12537), (12538) imply:
% 174.97/26.80 | | | | | | | | | | | (12542) all_61_13 = all_38_1
% 174.97/26.80 | | | | | | | | | | |
% 174.97/26.80 | | | | | | | | | | | SIMP: (12542) implies:
% 174.97/26.80 | | | | | | | | | | | (12543) all_61_13 = all_38_1
% 174.97/26.80 | | | | | | | | | | |
% 174.97/26.80 | | | | | | | | | | | COMBINE_EQS: (12530), (12531) imply:
% 174.97/26.80 | | | | | | | | | | | (12544) all_65_59 = all_20_2
% 174.97/26.80 | | | | | | | | | | |
% 174.97/26.80 | | | | | | | | | | | SIMP: (12544) implies:
% 174.97/26.80 | | | | | | | | | | | (12545) all_65_59 = all_20_2
% 174.97/26.80 | | | | | | | | | | |
% 174.97/26.80 | | | | | | | | | | | COMBINE_EQS: (12536), (12543) imply:
% 174.97/26.80 | | | | | | | | | | | (12546) all_38_1 = all_22_1
% 174.97/26.80 | | | | | | | | | | |
% 174.97/26.80 | | | | | | | | | | | SIMP: (12546) implies:
% 174.97/26.80 | | | | | | | | | | | (12547) all_38_1 = all_22_1
% 174.97/26.80 | | | | | | | | | | |
% 174.97/26.80 | | | | | | | | | | | COMBINE_EQS: (12541), (12547) imply:
% 174.97/26.80 | | | | | | | | | | | (12548) all_61_7 = all_22_1
% 174.97/26.80 | | | | | | | | | | |
% 174.97/26.80 | | | | | | | | | | | COMBINE_EQS: (508), (12548) imply:
% 174.97/26.80 | | | | | | | | | | | (12549) all_63_13 = all_22_1
% 174.97/26.80 | | | | | | | | | | |
% 174.97/26.80 | | | | | | | | | | | REDUCE: (212), (12536) imply:
% 174.97/26.80 | | | | | | | | | | | (12550) ~ (all_61_1 = all_22_1)
% 174.97/26.80 | | | | | | | | | | |
% 174.97/26.80 | | | | | | | | | | | REDUCE: (207), (12548) imply:
% 174.97/26.80 | | | | | | | | | | | (12551) ~ (all_61_3 = all_22_1)
% 174.97/26.80 | | | | | | | | | | |
% 174.97/26.80 | | | | | | | | | | | REDUCE: (202), (12548) imply:
% 174.97/26.80 | | | | | | | | | | | (12552) ~ (all_61_4 = all_22_1)
% 174.97/26.80 | | | | | | | | | | |
% 174.97/26.80 | | | | | | | | | | | REDUCE: (195), (12548) imply:
% 174.97/26.80 | | | | | | | | | | | (12553) ~ (all_61_6 = all_22_1)
% 174.97/26.80 | | | | | | | | | | |
% 174.97/26.80 | | | | | | | | | | | REDUCE: (184), (12536) imply:
% 174.97/26.80 | | | | | | | | | | | (12554) ~ (all_61_9 = all_22_1)
% 174.97/26.80 | | | | | | | | | | |
% 174.97/26.80 | | | | | | | | | | | REDUCE: (180), (12536) imply:
% 174.97/26.80 | | | | | | | | | | | (12555) ~ (all_61_12 = all_22_1)
% 174.97/26.80 | | | | | | | | | | |
% 174.97/26.80 | | | | | | | | | | | REDUCE: (626), (12536) imply:
% 174.97/26.80 | | | | | | | | | | | (12556) ~ (all_22_1 = all_20_2)
% 174.97/26.80 | | | | | | | | | | |
% 174.97/26.80 | | | | | | | | | | | REDUCE: (11654), (12536) imply:
% 174.97/26.80 | | | | | | | | | | | (12557) ~ (all_22_1 = all_8_1)
% 174.97/26.80 | | | | | | | | | | |
% 174.97/26.80 | | | | | | | | | | | REDUCE: (12515), (12536) imply:
% 174.97/26.80 | | | | | | | | | | | (12558) ~ (all_22_1 = e0)
% 174.97/26.80 | | | | | | | | | | |
% 174.97/26.80 | | | | | | | | | | | REDUCE: (671), (12535) imply:
% 174.97/26.80 | | | | | | | | | | | (12559) op(all_61_6, e2) = all_8_1
% 174.97/26.80 | | | | | | | | | | |
% 174.97/26.80 | | | | | | | | | | | REDUCE: (686), (12548) imply:
% 174.97/26.80 | | | | | | | | | | | (12560) op(all_22_1, e3) = all_65_57
% 174.97/26.80 | | | | | | | | | | |
% 174.97/26.80 | | | | | | | | | | | REDUCE: (687), (12545), (12548) imply:
% 174.97/26.80 | | | | | | | | | | | (12561) op(all_22_1, e2) = all_20_2
% 174.97/26.80 | | | | | | | | | | |
% 174.97/26.80 | | | | | | | | | | | REDUCE: (688), (12548) imply:
% 174.97/26.80 | | | | | | | | | | | (12562) op(all_22_1, e1) = all_65_61
% 174.97/26.80 | | | | | | | | | | |
% 174.97/26.80 | | | | | | | | | | | REDUCE: (689), (12548) imply:
% 174.97/26.80 | | | | | | | | | | | (12563) op(all_22_1, e0) = all_65_63
% 174.97/26.80 | | | | | | | | | | |
% 174.97/26.80 | | | | | | | | | | | REDUCE: (11659), (12536) imply:
% 174.97/26.80 | | | | | | | | | | | (12564) op(all_61_9, e1) = all_22_1
% 174.97/26.80 | | | | | | | | | | |
% 174.97/26.80 | | | | | | | | | | | REDUCE: (662), (12536) imply:
% 174.97/26.80 | | | | | | | | | | | (12565) op(all_22_1, e3) = all_65_28
% 174.97/26.80 | | | | | | | | | | |
% 174.97/26.80 | | | | | | | | | | | REDUCE: (663), (12536) imply:
% 174.97/26.80 | | | | | | | | | | | (12566) op(all_22_1, e2) = all_65_29
% 174.97/26.80 | | | | | | | | | | |
% 174.97/26.80 | | | | | | | | | | | REDUCE: (664), (12536) imply:
% 174.97/26.80 | | | | | | | | | | | (12567) op(all_22_1, e1) = all_65_30
% 174.97/26.80 | | | | | | | | | | |
% 174.97/26.80 | | | | | | | | | | | REDUCE: (665), (12536) imply:
% 174.97/26.80 | | | | | | | | | | | (12568) op(all_22_1, e0) = all_65_31
% 174.97/26.80 | | | | | | | | | | |
% 174.97/26.80 | | | | | | | | | | | REDUCE: (711), (12548) imply:
% 174.97/26.80 | | | | | | | | | | | (12569) op(e3, all_22_1) = all_65_13
% 174.97/26.80 | | | | | | | | | | |
% 174.97/26.80 | | | | | | | | | | | REDUCE: (705), (12536) imply:
% 174.97/26.80 | | | | | | | | | | | (12570) op(e3, all_22_1) = all_65_7
% 174.97/26.80 | | | | | | | | | | |
% 174.97/26.80 | | | | | | | | | | | REDUCE: (728), (12548) imply:
% 174.97/26.80 | | | | | | | | | | | (12571) op(e2, all_22_1) = all_65_29
% 174.97/26.80 | | | | | | | | | | |
% 174.97/26.80 | | | | | | | | | | | REDUCE: (11688), (12548) imply:
% 174.97/26.80 | | | | | | | | | | | (12572) op(e1, all_22_1) = all_65_67
% 174.97/26.80 | | | | | | | | | | |
% 174.97/26.80 | | | | | | | | | | | REDUCE: (739), (12536) imply:
% 174.97/26.80 | | | | | | | | | | | (12573) op(e1, all_22_1) = all_65_39
% 174.97/26.80 | | | | | | | | | | |
% 174.97/26.80 | | | | | | | | | | | REDUCE: (762), (12548) imply:
% 174.97/26.80 | | | | | | | | | | | (12574) op(e0, all_22_1) = all_65_75
% 174.97/26.80 | | | | | | | | | | |
% 174.97/26.80 | | | | | | | | | | | REDUCE: (756), (12536) imply:
% 174.97/26.80 | | | | | | | | | | | (12575) op(e0, all_22_1) = all_65_63
% 174.97/26.80 | | | | | | | | | | |
% 174.97/26.80 | | | | | | | | | | | REDUCE: (225), (12548) imply:
% 174.97/26.80 | | | | | | | | | | | (12576) op(e0, e2) = all_22_1
% 174.97/26.80 | | | | | | | | | | |
% 174.97/26.80 | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_75, all_65_63,
% 174.97/26.80 | | | | | | | | | | | all_22_1, e0, simplifying with (12574), (12575)
% 174.97/26.80 | | | | | | | | | | | gives:
% 174.97/26.80 | | | | | | | | | | | (12577) all_65_63 = all_65_75
% 174.97/26.80 | | | | | | | | | | |
% 174.97/26.80 | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_67, all_65_39,
% 174.97/26.80 | | | | | | | | | | | all_22_1, e1, simplifying with (12572), (12573)
% 174.97/26.80 | | | | | | | | | | | gives:
% 174.97/26.80 | | | | | | | | | | | (12578) all_65_39 = all_65_67
% 174.97/26.80 | | | | | | | | | | |
% 174.97/26.80 | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_13, all_65_7,
% 174.97/26.80 | | | | | | | | | | | all_22_1, e3, simplifying with (12569), (12570)
% 174.97/26.80 | | | | | | | | | | | gives:
% 174.97/26.80 | | | | | | | | | | | (12579) all_65_7 = all_65_13
% 174.97/26.80 | | | | | | | | | | |
% 174.97/26.80 | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_63, all_65_31, e0,
% 174.97/26.80 | | | | | | | | | | | all_22_1, simplifying with (12563), (12568) gives:
% 174.97/26.80 | | | | | | | | | | | (12580) all_65_31 = all_65_63
% 174.97/26.80 | | | | | | | | | | |
% 174.97/26.80 | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_61, all_65_30, e1,
% 174.97/26.80 | | | | | | | | | | | all_22_1, simplifying with (12562), (12567) gives:
% 174.97/26.80 | | | | | | | | | | | (12581) all_65_30 = all_65_61
% 174.97/26.80 | | | | | | | | | | |
% 174.97/26.80 | | | | | | | | | | | GROUND_INST: instantiating (50) with all_20_2, all_65_29, e2,
% 174.97/26.80 | | | | | | | | | | | all_22_1, simplifying with (12561), (12566) gives:
% 174.97/26.80 | | | | | | | | | | | (12582) all_65_29 = all_20_2
% 174.97/26.80 | | | | | | | | | | |
% 174.97/26.80 | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_57, all_65_28, e3,
% 174.97/26.80 | | | | | | | | | | | all_22_1, simplifying with (12560), (12565) gives:
% 174.97/26.80 | | | | | | | | | | | (12583) all_65_28 = all_65_57
% 174.97/26.80 | | | | | | | | | | |
% 174.97/26.80 | | | | | | | | | | | COMBINE_EQS: (12577), (12580) imply:
% 174.97/26.80 | | | | | | | | | | | (12584) all_65_31 = all_65_75
% 174.97/26.80 | | | | | | | | | | |
% 174.97/26.80 | | | | | | | | | | | REDUCE: (641), (12579) imply:
% 174.97/26.80 | | | | | | | | | | | (12585) op(all_61_4, e0) = all_65_13
% 174.97/26.80 | | | | | | | | | | |
% 174.97/26.80 | | | | | | | | | | | REDUCE: (673), (12578) imply:
% 174.97/26.80 | | | | | | | | | | | (12586) op(all_61_6, e0) = all_65_67
% 174.97/26.80 | | | | | | | | | | |
% 174.97/26.80 | | | | | | | | | | | REDUCE: (11686), (12581) imply:
% 174.97/26.80 | | | | | | | | | | | (12587) op(all_61_9, e0) = all_65_61
% 174.97/26.80 | | | | | | | | | | |
% 174.97/26.80 | | | | | | | | | | | REDUCE: (727), (12583) imply:
% 174.97/26.80 | | | | | | | | | | | (12588) op(e2, all_61_3) = all_65_57
% 174.97/26.80 | | | | | | | | | | |
% 174.97/26.80 | | | | | | | | | | | REDUCE: (12571), (12582) imply:
% 174.97/26.80 | | | | | | | | | | | (12589) op(e2, all_22_1) = all_20_2
% 174.97/26.80 | | | | | | | | | | |
% 174.97/26.80 | | | | | | | | | | | REDUCE: (730), (12584) imply:
% 174.97/26.80 | | | | | | | | | | | (12590) op(e2, all_20_2) = all_65_75
% 174.97/26.80 | | | | | | | | | | |
% 174.97/26.80 | | | | | | | | | | | REDUCE: (11670), (12581) imply:
% 174.97/26.80 | | | | | | | | | | | (12591) op(e2, all_8_1) = all_65_61
% 174.97/26.80 | | | | | | | | | | |
% 174.97/26.80 | | | | | | | | | | | BETA: splitting (89) gives:
% 174.97/26.80 | | | | | | | | | | |
% 174.97/26.80 | | | | | | | | | | | Case 1:
% 174.97/26.80 | | | | | | | | | | | |
% 174.97/26.80 | | | | | | | | | | | | (12592) ~ (all_28_2 = e3)
% 174.97/26.80 | | | | | | | | | | | |
% 174.97/26.80 | | | | | | | | | | | | REDUCE: (563), (12592) imply:
% 174.97/26.80 | | | | | | | | | | | | (12593) ~ (all_20_2 = e3)
% 174.97/26.80 | | | | | | | | | | | |
% 174.97/26.80 | | | | | | | | | | | | BETA: splitting (101) gives:
% 174.97/26.80 | | | | | | | | | | | |
% 174.97/26.80 | | | | | | | | | | | | Case 1:
% 174.97/26.80 | | | | | | | | | | | | |
% 174.97/26.80 | | | | | | | | | | | | | (12594) ~ (all_36_2 = e0)
% 174.97/26.80 | | | | | | | | | | | | |
% 174.97/26.80 | | | | | | | | | | | | | REDUCE: (557), (12594) imply:
% 174.97/26.80 | | | | | | | | | | | | | (12595) ~ (all_14_2 = e0)
% 174.97/26.80 | | | | | | | | | | | | |
% 174.97/26.80 | | | | | | | | | | | | | BETA: splitting (107) gives:
% 174.97/26.80 | | | | | | | | | | | | |
% 174.97/26.80 | | | | | | | | | | | | | Case 1:
% 174.97/26.80 | | | | | | | | | | | | | |
% 174.97/26.80 | | | | | | | | | | | | | | (12596) ~ (all_40_2 = e1)
% 174.97/26.80 | | | | | | | | | | | | | |
% 174.97/26.80 | | | | | | | | | | | | | | REDUCE: (553), (12596) imply:
% 174.97/26.80 | | | | | | | | | | | | | | (12597) ~ (all_14_2 = e1)
% 174.97/26.80 | | | | | | | | | | | | | |
% 174.97/26.80 | | | | | | | | | | | | | | BETA: splitting (271) gives:
% 174.97/26.80 | | | | | | | | | | | | | |
% 174.97/26.80 | | | | | | | | | | | | | | Case 1:
% 174.97/26.80 | | | | | | | | | | | | | | |
% 174.97/26.80 | | | | | | | | | | | | | | | (12598) all_63_0 = e3
% 174.97/26.80 | | | | | | | | | | | | | | |
% 174.97/26.80 | | | | | | | | | | | | | | | COMBINE_EQS: (588), (12598) imply:
% 174.97/26.80 | | | | | | | | | | | | | | | (12599) all_14_2 = e3
% 174.97/26.80 | | | | | | | | | | | | | | |
% 174.97/26.80 | | | | | | | | | | | | | | | REDUCE: (595), (12599) imply:
% 174.97/26.80 | | | | | | | | | | | | | | | (12600) ~ (all_61_2 = e3)
% 174.97/26.80 | | | | | | | | | | | | | | |
% 174.97/26.80 | | | | | | | | | | | | | | | REDUCE: (601), (12599) imply:
% 174.97/26.80 | | | | | | | | | | | | | | | (12601) ~ (all_61_8 = e3)
% 174.97/26.80 | | | | | | | | | | | | | | |
% 174.97/26.80 | | | | | | | | | | | | | | | REDUCE: (603), (12599) imply:
% 174.97/26.80 | | | | | | | | | | | | | | | (12602) ~ (all_61_12 = e3)
% 174.97/26.80 | | | | | | | | | | | | | | |
% 174.97/26.80 | | | | | | | | | | | | | | | REDUCE: (636), (12599) imply:
% 174.97/26.80 | | | | | | | | | | | | | | | (12603) op(e3, e1) = all_65_2
% 174.97/26.80 | | | | | | | | | | | | | | |
% 174.97/26.80 | | | | | | | | | | | | | | | REDUCE: (637), (12599) imply:
% 174.97/26.80 | | | | | | | | | | | | | | | (12604) op(e3, e0) = all_65_3
% 174.97/26.80 | | | | | | | | | | | | | | |
% 174.97/26.80 | | | | | | | | | | | | | | | REDUCE: (732), (12599) imply:
% 174.97/26.80 | | | | | | | | | | | | | | | (12605) op(e1, e3) = all_65_32
% 174.97/26.80 | | | | | | | | | | | | | | |
% 174.97/26.80 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_2, all_65_32, e3,
% 174.97/26.80 | | | | | | | | | | | | | | | e1, simplifying with (230), (12605) gives:
% 174.97/26.80 | | | | | | | | | | | | | | | (12606) all_65_32 = all_61_2
% 174.97/26.80 | | | | | | | | | | | | | | |
% 174.97/26.80 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_12, all_65_3, e0,
% 174.97/26.80 | | | | | | | | | | | | | | | e3, simplifying with (235), (12604) gives:
% 174.97/26.80 | | | | | | | | | | | | | | | (12607) all_65_3 = all_61_12
% 174.97/26.80 | | | | | | | | | | | | | | |
% 174.97/26.80 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_8, all_65_2, e1,
% 174.97/26.80 | | | | | | | | | | | | | | | e3, simplifying with (236), (12603) gives:
% 174.97/26.80 | | | | | | | | | | | | | | | (12608) all_65_2 = all_61_8
% 174.97/26.80 | | | | | | | | | | | | | | |
% 174.97/26.80 | | | | | | | | | | | | | | | REDUCE: (666), (12606) imply:
% 174.97/26.80 | | | | | | | | | | | | | | | (12609) op(all_61_2, e3) = all_61_2
% 174.97/26.80 | | | | | | | | | | | | | | |
% 174.97/26.80 | | | | | | | | | | | | | | | BETA: splitting (110) gives:
% 174.97/26.80 | | | | | | | | | | | | | | |
% 174.97/26.80 | | | | | | | | | | | | | | | Case 1:
% 174.97/26.80 | | | | | | | | | | | | | | | |
% 174.97/26.80 | | | | | | | | | | | | | | | | (12610) ~ (all_42_2 = e1)
% 174.97/26.80 | | | | | | | | | | | | | | | |
% 174.97/26.80 | | | | | | | | | | | | | | | | REDUCE: (532), (12610) imply:
% 174.97/26.80 | | | | | | | | | | | | | | | | (12611) ~ (all_20_2 = e1)
% 174.97/26.80 | | | | | | | | | | | | | | | |
% 174.97/26.80 | | | | | | | | | | | | | | | | BETA: splitting (256) gives:
% 174.97/26.80 | | | | | | | | | | | | | | | |
% 174.97/26.80 | | | | | | | | | | | | | | | | Case 1:
% 174.97/26.80 | | | | | | | | | | | | | | | | |
% 174.97/26.80 | | | | | | | | | | | | | | | | | (12612) all_63_15 = e3
% 174.97/26.80 | | | | | | | | | | | | | | | | |
% 174.97/26.80 | | | | | | | | | | | | | | | | | REF_CLOSE: (422), (12593), (12612) are inconsistent by
% 174.97/26.80 | | | | | | | | | | | | | | | | | sub-proof #501.
% 174.97/26.80 | | | | | | | | | | | | | | | | |
% 174.97/26.80 | | | | | | | | | | | | | | | | Case 2:
% 174.97/26.80 | | | | | | | | | | | | | | | | |
% 174.97/26.80 | | | | | | | | | | | | | | | | | (12613) all_63_15 = e2 | all_63_15 = e1 | all_63_15 = e0
% 174.97/26.80 | | | | | | | | | | | | | | | | |
% 174.97/26.80 | | | | | | | | | | | | | | | | | BETA: splitting (12613) gives:
% 174.97/26.80 | | | | | | | | | | | | | | | | |
% 174.97/26.80 | | | | | | | | | | | | | | | | | Case 1:
% 174.97/26.80 | | | | | | | | | | | | | | | | | |
% 174.97/26.80 | | | | | | | | | | | | | | | | | | (12614) all_63_15 = e2
% 174.97/26.80 | | | | | | | | | | | | | | | | | |
% 174.97/26.80 | | | | | | | | | | | | | | | | | | REF_CLOSE: (422), (11701), (12614) are inconsistent by
% 174.97/26.80 | | | | | | | | | | | | | | | | | | sub-proof #500.
% 174.97/26.80 | | | | | | | | | | | | | | | | | |
% 174.97/26.80 | | | | | | | | | | | | | | | | | Case 2:
% 174.97/26.80 | | | | | | | | | | | | | | | | | |
% 174.97/26.80 | | | | | | | | | | | | | | | | | | (12615) all_63_15 = e1 | all_63_15 = e0
% 174.97/26.80 | | | | | | | | | | | | | | | | | |
% 174.97/26.80 | | | | | | | | | | | | | | | | | | BETA: splitting (12615) gives:
% 174.97/26.80 | | | | | | | | | | | | | | | | | |
% 174.97/26.80 | | | | | | | | | | | | | | | | | | Case 1:
% 174.97/26.80 | | | | | | | | | | | | | | | | | | |
% 174.97/26.80 | | | | | | | | | | | | | | | | | | | (12616) all_63_15 = e1
% 174.97/26.80 | | | | | | | | | | | | | | | | | | |
% 174.97/26.80 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (422), (12611), (12616) are inconsistent by
% 174.97/26.80 | | | | | | | | | | | | | | | | | | | sub-proof #499.
% 174.97/26.80 | | | | | | | | | | | | | | | | | | |
% 174.97/26.80 | | | | | | | | | | | | | | | | | | Case 2:
% 174.97/26.80 | | | | | | | | | | | | | | | | | | |
% 174.97/26.80 | | | | | | | | | | | | | | | | | | | (12617) all_63_15 = e0
% 174.97/26.80 | | | | | | | | | | | | | | | | | | |
% 174.97/26.80 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (422), (12617) imply:
% 174.97/26.80 | | | | | | | | | | | | | | | | | | | (12618) all_20_2 = e0
% 174.97/26.80 | | | | | | | | | | | | | | | | | | |
% 174.97/26.80 | | | | | | | | | | | | | | | | | | | SIMP: (12618) implies:
% 174.97/26.80 | | | | | | | | | | | | | | | | | | | (12619) all_20_2 = e0
% 174.97/26.80 | | | | | | | | | | | | | | | | | | |
% 174.97/26.80 | | | | | | | | | | | | | | | | | | | REDUCE: (11662), (12619) imply:
% 174.97/26.80 | | | | | | | | | | | | | | | | | | | (12620) op(all_8_1, e1) = e0
% 174.97/26.80 | | | | | | | | | | | | | | | | | | |
% 174.97/26.80 | | | | | | | | | | | | | | | | | | | REDUCE: (713), (12619) imply:
% 174.97/26.80 | | | | | | | | | | | | | | | | | | | (12621) op(e3, e0) = all_65_15
% 174.97/26.80 | | | | | | | | | | | | | | | | | | |
% 174.97/26.80 | | | | | | | | | | | | | | | | | | | REDUCE: (11689), (12619) imply:
% 174.97/26.80 | | | | | | | | | | | | | | | | | | | (12622) op(e1, e0) = all_65_77
% 174.97/26.80 | | | | | | | | | | | | | | | | | | |
% 174.97/26.80 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_8_1, all_65_77, e0,
% 174.97/26.80 | | | | | | | | | | | | | | | | | | | e1, simplifying with (11606), (12622) gives:
% 174.97/26.80 | | | | | | | | | | | | | | | | | | | (12623) all_65_77 = all_8_1
% 174.97/26.80 | | | | | | | | | | | | | | | | | | |
% 174.97/26.80 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_12, all_65_15, e0,
% 174.97/26.80 | | | | | | | | | | | | | | | | | | | e3, simplifying with (235), (12621) gives:
% 174.97/26.80 | | | | | | | | | | | | | | | | | | | (12624) all_65_15 = all_61_12
% 174.97/26.80 | | | | | | | | | | | | | | | | | | |
% 174.97/26.80 | | | | | | | | | | | | | | | | | | | BETA: splitting (162) gives:
% 174.97/26.80 | | | | | | | | | | | | | | | | | | |
% 174.97/26.80 | | | | | | | | | | | | | | | | | | | Case 1:
% 174.97/26.80 | | | | | | | | | | | | | | | | | | | |
% 174.97/26.80 | | | | | | | | | | | | | | | | | | | | (12625) ~ (all_58_2 = e3)
% 174.97/26.80 | | | | | | | | | | | | | | | | | | | |
% 174.97/26.80 | | | | | | | | | | | | | | | | | | | | REDUCE: (478), (12625) imply:
% 174.97/26.80 | | | | | | | | | | | | | | | | | | | | (12626) ~ (all_52_2 = e3)
% 174.97/26.80 | | | | | | | | | | | | | | | | | | | |
% 174.97/26.80 | | | | | | | | | | | | | | | | | | | | BETA: splitting (164) gives:
% 174.97/26.80 | | | | | | | | | | | | | | | | | | | |
% 174.97/26.80 | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.97/26.80 | | | | | | | | | | | | | | | | | | | | |
% 174.97/26.80 | | | | | | | | | | | | | | | | | | | | | (12627) ~ (all_58_1 = e1)
% 174.97/26.80 | | | | | | | | | | | | | | | | | | | | |
% 174.97/26.80 | | | | | | | | | | | | | | | | | | | | | REDUCE: (481), (12627) imply:
% 174.97/26.80 | | | | | | | | | | | | | | | | | | | | | (12628) ~ (all_52_1 = e1)
% 174.97/26.80 | | | | | | | | | | | | | | | | | | | | |
% 174.97/26.80 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (161) gives:
% 174.97/26.80 | | | | | | | | | | | | | | | | | | | | |
% 174.97/26.80 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.97/26.80 | | | | | | | | | | | | | | | | | | | | | |
% 174.97/26.80 | | | | | | | | | | | | | | | | | | | | | | (12629) ~ (all_58_2 = e2)
% 174.97/26.80 | | | | | | | | | | | | | | | | | | | | | |
% 174.97/26.80 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (478), (12629) imply:
% 174.97/26.80 | | | | | | | | | | | | | | | | | | | | | | (12630) ~ (all_52_2 = e2)
% 174.97/26.80 | | | | | | | | | | | | | | | | | | | | | |
% 174.97/26.80 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (157) gives:
% 174.97/26.80 | | | | | | | | | | | | | | | | | | | | | |
% 174.97/26.80 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.97/26.80 | | | | | | | | | | | | | | | | | | | | | | |
% 174.97/26.80 | | | | | | | | | | | | | | | | | | | | | | | (12631) ~ (all_58_3 = e1)
% 174.97/26.80 | | | | | | | | | | | | | | | | | | | | | | |
% 174.97/26.80 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (475), (12631) imply:
% 174.97/26.80 | | | | | | | | | | | | | | | | | | | | | | | (12632) ~ (all_52_3 = e1)
% 174.97/26.80 | | | | | | | | | | | | | | | | | | | | | | |
% 174.97/26.80 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (50), (149), (160), (235), (475), (478),
% 174.97/26.80 | | | | | | | | | | | | | | | | | | | | | | | (538), (748), (11622), (12602), (12626), (12630),
% 174.97/26.80 | | | | | | | | | | | | | | | | | | | | | | | (12632) are inconsistent by sub-proof #168.
% 174.97/26.80 | | | | | | | | | | | | | | | | | | | | | | |
% 174.97/26.80 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.97/26.80 | | | | | | | | | | | | | | | | | | | | | | |
% 174.97/26.80 | | | | | | | | | | | | | | | | | | | | | | | (12633) all_58_3 = e1
% 174.97/26.80 | | | | | | | | | | | | | | | | | | | | | | | (12634) all_58_2 = e0
% 174.97/26.80 | | | | | | | | | | | | | | | | | | | | | | |
% 174.97/26.80 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (50), (475), (478), (633), (748), (11606),
% 174.97/26.80 | | | | | | | | | | | | | | | | | | | | | | | (12620), (12633), (12634) are inconsistent by
% 174.97/26.80 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #166.
% 174.97/26.80 | | | | | | | | | | | | | | | | | | | | | | |
% 174.97/26.80 | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.97/26.80 | | | | | | | | | | | | | | | | | | | | | |
% 174.97/26.80 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.97/26.80 | | | | | | | | | | | | | | | | | | | | | |
% 174.97/26.80 | | | | | | | | | | | | | | | | | | | | | | (12635) all_58_1 = e1
% 174.97/26.80 | | | | | | | | | | | | | | | | | | | | | |
% 174.97/26.80 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (481), (12628), (12635) are inconsistent by
% 174.97/26.80 | | | | | | | | | | | | | | | | | | | | | | sub-proof #424.
% 174.97/26.80 | | | | | | | | | | | | | | | | | | | | | |
% 174.97/26.80 | | | | | | | | | | | | | | | | | | | | | End of split
% 174.97/26.80 | | | | | | | | | | | | | | | | | | | | |
% 174.97/26.80 | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.97/26.80 | | | | | | | | | | | | | | | | | | | | |
% 174.97/26.80 | | | | | | | | | | | | | | | | | | | | | (12636) all_58_2 = e2
% 174.97/26.80 | | | | | | | | | | | | | | | | | | | | | (12637) all_58_1 = e1
% 174.97/26.80 | | | | | | | | | | | | | | | | | | | | |
% 174.97/26.80 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (481), (12637) imply:
% 174.97/26.80 | | | | | | | | | | | | | | | | | | | | | (12638) all_52_1 = e1
% 174.97/26.80 | | | | | | | | | | | | | | | | | | | | |
% 174.97/26.80 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (478), (12636) imply:
% 174.97/26.80 | | | | | | | | | | | | | | | | | | | | | (12639) all_52_2 = e2
% 174.97/26.80 | | | | | | | | | | | | | | | | | | | | |
% 174.97/26.80 | | | | | | | | | | | | | | | | | | | | | SIMP: (12639) implies:
% 174.97/26.80 | | | | | | | | | | | | | | | | | | | | | (12640) all_52_2 = e2
% 174.97/26.80 | | | | | | | | | | | | | | | | | | | | |
% 174.97/26.80 | | | | | | | | | | | | | | | | | | | | | REDUCE: (731), (12638) imply:
% 174.97/26.80 | | | | | | | | | | | | | | | | | | | | | (12641) op(e2, e1) = unit
% 174.97/26.80 | | | | | | | | | | | | | | | | | | | | |
% 174.97/26.80 | | | | | | | | | | | | | | | | | | | | | REDUCE: (748), (12640) imply:
% 174.97/26.80 | | | | | | | | | | | | | | | | | | | | | (12642) op(e1, e2) = unit
% 174.97/26.80 | | | | | | | | | | | | | | | | | | | | |
% 174.97/26.80 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_6, unit, e2, e1,
% 174.97/26.80 | | | | | | | | | | | | | | | | | | | | | simplifying with (229), (12642) gives:
% 174.97/26.80 | | | | | | | | | | | | | | | | | | | | | (12643) all_61_6 = unit
% 174.97/26.80 | | | | | | | | | | | | | | | | | | | | |
% 174.97/26.80 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_9, unit, e1, e2,
% 174.97/26.80 | | | | | | | | | | | | | | | | | | | | | simplifying with (232), (12641) gives:
% 174.97/26.80 | | | | | | | | | | | | | | | | | | | | | (12644) all_61_9 = unit
% 174.97/26.80 | | | | | | | | | | | | | | | | | | | | |
% 174.97/26.80 | | | | | | | | | | | | | | | | | | | | | REDUCE: (12554), (12644) imply:
% 174.97/26.80 | | | | | | | | | | | | | | | | | | | | | (12645) ~ (all_22_1 = unit)
% 174.97/26.80 | | | | | | | | | | | | | | | | | | | | |
% 174.97/26.80 | | | | | | | | | | | | | | | | | | | | | SIMP: (12645) implies:
% 174.97/26.80 | | | | | | | | | | | | | | | | | | | | | (12646) ~ (all_22_1 = unit)
% 174.97/26.80 | | | | | | | | | | | | | | | | | | | | |
% 174.97/26.80 | | | | | | | | | | | | | | | | | | | | | REDUCE: (11652), (12644) imply:
% 174.97/26.80 | | | | | | | | | | | | | | | | | | | | | (12647) ~ (all_8_1 = unit)
% 174.97/26.80 | | | | | | | | | | | | | | | | | | | | |
% 174.97/26.80 | | | | | | | | | | | | | | | | | | | | | SIMP: (12647) implies:
% 174.97/26.80 | | | | | | | | | | | | | | | | | | | | | (12648) ~ (all_8_1 = unit)
% 174.97/26.80 | | | | | | | | | | | | | | | | | | | | |
% 174.97/26.80 | | | | | | | | | | | | | | | | | | | | | REDUCE: (11613), (12644) imply:
% 174.97/26.80 | | | | | | | | | | | | | | | | | | | | | (12649) ~ (unit = e0)
% 174.97/26.80 | | | | | | | | | | | | | | | | | | | | |
% 174.97/26.80 | | | | | | | | | | | | | | | | | | | | | REDUCE: (12559), (12643) imply:
% 174.97/26.80 | | | | | | | | | | | | | | | | | | | | | (12650) op(unit, e2) = all_8_1
% 174.97/26.80 | | | | | | | | | | | | | | | | | | | | |
% 174.97/26.80 | | | | | | | | | | | | | | | | | | | | | REDUCE: (672), (12643) imply:
% 174.97/26.80 | | | | | | | | | | | | | | | | | | | | | (12651) op(unit, e1) = all_65_38
% 174.97/26.80 | | | | | | | | | | | | | | | | | | | | |
% 174.97/26.80 | | | | | | | | | | | | | | | | | | | | | REDUCE: (659), (12644) imply:
% 174.97/26.80 | | | | | | | | | | | | | | | | | | | | | (12652) op(unit, e2) = all_65_25
% 174.97/26.80 | | | | | | | | | | | | | | | | | | | | |
% 174.97/26.80 | | | | | | | | | | | | | | | | | | | | | REDUCE: (12564), (12644) imply:
% 174.97/26.80 | | | | | | | | | | | | | | | | | | | | | (12653) op(unit, e1) = all_22_1
% 174.97/26.80 | | | | | | | | | | | | | | | | | | | | |
% 174.97/26.80 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e1, all_65_38, e1, unit,
% 174.97/26.80 | | | | | | | | | | | | | | | | | | | | | simplifying with (8), (12651) gives:
% 174.97/26.80 | | | | | | | | | | | | | | | | | | | | | (12654) all_65_38 = e1
% 174.97/26.80 | | | | | | | | | | | | | | | | | | | | |
% 174.97/26.80 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_22_1, all_65_38, e1,
% 174.97/26.80 | | | | | | | | | | | | | | | | | | | | | unit, simplifying with (12651), (12653) gives:
% 174.97/26.80 | | | | | | | | | | | | | | | | | | | | | (12655) all_65_38 = all_22_1
% 174.97/26.80 | | | | | | | | | | | | | | | | | | | | |
% 174.97/26.80 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e2, all_65_25, e2, unit,
% 174.97/26.80 | | | | | | | | | | | | | | | | | | | | | simplifying with (9), (12652) gives:
% 174.97/26.80 | | | | | | | | | | | | | | | | | | | | | (12656) all_65_25 = e2
% 174.97/26.80 | | | | | | | | | | | | | | | | | | | | |
% 174.97/26.80 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_8_1, all_65_25, e2,
% 174.97/26.80 | | | | | | | | | | | | | | | | | | | | | unit, simplifying with (12650), (12652) gives:
% 174.97/26.80 | | | | | | | | | | | | | | | | | | | | | (12657) all_65_25 = all_8_1
% 174.97/26.80 | | | | | | | | | | | | | | | | | | | | |
% 174.97/26.80 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12656), (12657) imply:
% 174.97/26.80 | | | | | | | | | | | | | | | | | | | | | (12658) all_8_1 = e2
% 174.97/26.80 | | | | | | | | | | | | | | | | | | | | |
% 174.97/26.80 | | | | | | | | | | | | | | | | | | | | | SIMP: (12658) implies:
% 174.97/26.80 | | | | | | | | | | | | | | | | | | | | | (12659) all_8_1 = e2
% 174.97/26.80 | | | | | | | | | | | | | | | | | | | | |
% 174.97/26.80 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11697), (12646), (12648), (12649), (12654),
% 174.97/26.80 | | | | | | | | | | | | | | | | | | | | | (12655), (12659) are inconsistent by sub-proof
% 174.97/26.80 | | | | | | | | | | | | | | | | | | | | | #165.
% 174.97/26.80 | | | | | | | | | | | | | | | | | | | | |
% 174.97/26.80 | | | | | | | | | | | | | | | | | | | | End of split
% 174.97/26.80 | | | | | | | | | | | | | | | | | | | |
% 174.97/26.80 | | | | | | | | | | | | | | | | | | | Case 2:
% 174.97/26.80 | | | | | | | | | | | | | | | | | | | |
% 174.97/26.80 | | | | | | | | | | | | | | | | | | | | (12660) all_58_2 = e3
% 174.97/26.80 | | | | | | | | | | | | | | | | | | | | (12661) all_58_0 = e1
% 174.97/26.80 | | | | | | | | | | | | | | | | | | | |
% 174.97/26.80 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (50), (230), (236), (478), (484), (642),
% 174.97/26.80 | | | | | | | | | | | | | | | | | | | | (714), (748), (12601), (12609), (12660), (12661)
% 174.97/26.80 | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #504.
% 174.97/26.80 | | | | | | | | | | | | | | | | | | | |
% 174.97/26.80 | | | | | | | | | | | | | | | | | | | End of split
% 174.97/26.80 | | | | | | | | | | | | | | | | | | |
% 174.97/26.80 | | | | | | | | | | | | | | | | | | End of split
% 174.97/26.80 | | | | | | | | | | | | | | | | | |
% 174.97/26.80 | | | | | | | | | | | | | | | | | End of split
% 174.97/26.80 | | | | | | | | | | | | | | | | |
% 174.97/26.80 | | | | | | | | | | | | | | | | End of split
% 174.97/26.80 | | | | | | | | | | | | | | | |
% 174.97/26.80 | | | | | | | | | | | | | | | Case 2:
% 174.97/26.80 | | | | | | | | | | | | | | | |
% 174.97/26.80 | | | | | | | | | | | | | | | | (12662) all_42_2 = e1
% 174.97/26.80 | | | | | | | | | | | | | | | | (12663) op(e0, e1) = all_42_1 & $i(all_42_1) & ( ~
% 174.97/26.80 | | | | | | | | | | | | | | | | (all_42_1 = e3) | ( ~ (all_42_0 = e2) & op(e3,
% 174.97/26.80 | | | | | | | | | | | | | | | | e0) = all_42_0 & $i(all_42_0)))
% 174.97/26.80 | | | | | | | | | | | | | | | |
% 174.97/26.80 | | | | | | | | | | | | | | | | ALPHA: (12663) implies:
% 174.97/26.80 | | | | | | | | | | | | | | | | (12664) op(e0, e1) = all_42_1
% 174.97/26.80 | | | | | | | | | | | | | | | |
% 174.97/26.80 | | | | | | | | | | | | | | | | COMBINE_EQS: (532), (12662) imply:
% 174.97/26.80 | | | | | | | | | | | | | | | | (12665) all_20_2 = e1
% 174.97/26.80 | | | | | | | | | | | | | | | |
% 174.97/26.80 | | | | | | | | | | | | | | | | SIMP: (12665) implies:
% 174.97/26.80 | | | | | | | | | | | | | | | | (12666) all_20_2 = e1
% 174.97/26.80 | | | | | | | | | | | | | | | |
% 174.97/26.80 | | | | | | | | | | | | | | | | COMBINE_EQS: (582), (12666) imply:
% 174.97/26.80 | | | | | | | | | | | | | | | | (12667) all_50_2 = e1
% 174.97/26.80 | | | | | | | | | | | | | | | |
% 174.97/26.80 | | | | | | | | | | | | | | | | REDUCE: (12556), (12666) imply:
% 174.97/26.80 | | | | | | | | | | | | | | | | (12668) ~ (all_22_1 = e1)
% 174.97/26.80 | | | | | | | | | | | | | | | |
% 174.97/26.80 | | | | | | | | | | | | | | | | REDUCE: (11656), (12666) imply:
% 174.97/26.80 | | | | | | | | | | | | | | | | (12669) ~ (all_8_1 = e1)
% 174.97/26.80 | | | | | | | | | | | | | | | |
% 174.97/26.80 | | | | | | | | | | | | | | | | SIMP: (12669) implies:
% 174.97/26.80 | | | | | | | | | | | | | | | | (12670) ~ (all_8_1 = e1)
% 174.97/26.80 | | | | | | | | | | | | | | | |
% 174.97/26.80 | | | | | | | | | | | | | | | | REDUCE: (694), (12666) imply:
% 174.97/26.80 | | | | | | | | | | | | | | | | (12671) op(e1, e3) = all_65_73
% 174.97/26.80 | | | | | | | | | | | | | | | |
% 174.97/26.80 | | | | | | | | | | | | | | | | REDUCE: (695), (12666) imply:
% 174.97/26.80 | | | | | | | | | | | | | | | | (12672) op(e1, e2) = all_65_75
% 174.97/26.80 | | | | | | | | | | | | | | | |
% 174.97/26.80 | | | | | | | | | | | | | | | | REDUCE: (697), (12666) imply:
% 174.97/26.80 | | | | | | | | | | | | | | | | (12673) op(e1, e0) = all_65_78
% 174.97/26.80 | | | | | | | | | | | | | | | |
% 174.97/26.80 | | | | | | | | | | | | | | | | REDUCE: (713), (12666) imply:
% 174.97/26.80 | | | | | | | | | | | | | | | | (12674) op(e3, e1) = all_65_15
% 174.97/26.80 | | | | | | | | | | | | | | | |
% 174.97/26.80 | | | | | | | | | | | | | | | | REDUCE: (12590), (12666) imply:
% 174.97/26.81 | | | | | | | | | | | | | | | | (12675) op(e2, e1) = all_65_75
% 174.97/26.81 | | | | | | | | | | | | | | | |
% 174.97/26.81 | | | | | | | | | | | | | | | | REDUCE: (11689), (12666) imply:
% 174.97/26.81 | | | | | | | | | | | | | | | | (12676) op(e1, e1) = all_65_77
% 174.97/26.81 | | | | | | | | | | | | | | | |
% 174.97/26.81 | | | | | | | | | | | | | | | | REDUCE: (764), (12666) imply:
% 174.97/26.81 | | | | | | | | | | | | | | | | (12677) op(e0, e1) = all_65_78
% 174.97/26.81 | | | | | | | | | | | | | | | |
% 174.97/26.81 | | | | | | | | | | | | | | | | BETA: splitting (122) gives:
% 174.97/26.81 | | | | | | | | | | | | | | | |
% 174.97/26.81 | | | | | | | | | | | | | | | | Case 1:
% 174.97/26.81 | | | | | | | | | | | | | | | | |
% 174.97/26.81 | | | | | | | | | | | | | | | | | (12678) ~ (all_50_2 = e1)
% 174.97/26.81 | | | | | | | | | | | | | | | | |
% 174.97/26.81 | | | | | | | | | | | | | | | | | REDUCE: (12667), (12678) imply:
% 174.97/26.81 | | | | | | | | | | | | | | | | | (12679) $false
% 174.97/26.81 | | | | | | | | | | | | | | | | |
% 174.97/26.81 | | | | | | | | | | | | | | | | | CLOSE: (12679) is inconsistent.
% 174.97/26.81 | | | | | | | | | | | | | | | | |
% 174.97/26.81 | | | | | | | | | | | | | | | | Case 2:
% 174.97/26.81 | | | | | | | | | | | | | | | | |
% 174.97/26.81 | | | | | | | | | | | | | | | | | (12680) op(e0, e1) = all_50_1 & $i(all_50_1) & ( ~
% 174.97/26.81 | | | | | | | | | | | | | | | | | (all_50_1 = e2) | ( ~ (all_50_0 = e3) & op(e2,
% 174.97/26.81 | | | | | | | | | | | | | | | | | e0) = all_50_0 & $i(all_50_0)))
% 174.97/26.81 | | | | | | | | | | | | | | | | |
% 174.97/26.81 | | | | | | | | | | | | | | | | | ALPHA: (12680) implies:
% 174.97/26.81 | | | | | | | | | | | | | | | | | (12681) op(e0, e1) = all_50_1
% 174.97/26.81 | | | | | | | | | | | | | | | | |
% 174.97/26.81 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_50_1, all_65_78, e1,
% 174.97/26.81 | | | | | | | | | | | | | | | | | e0, simplifying with (12677), (12681) gives:
% 174.97/26.81 | | | | | | | | | | | | | | | | | (12682) all_65_78 = all_50_1
% 174.97/26.81 | | | | | | | | | | | | | | | | |
% 174.97/26.81 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_42_1, all_65_78, e1,
% 174.97/26.81 | | | | | | | | | | | | | | | | | e0, simplifying with (12664), (12677) gives:
% 174.97/26.81 | | | | | | | | | | | | | | | | | (12683) all_65_78 = all_42_1
% 174.97/26.81 | | | | | | | | | | | | | | | | |
% 174.97/26.81 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_8_1, all_65_78, e0,
% 174.97/26.81 | | | | | | | | | | | | | | | | | e1, simplifying with (11606), (12673) gives:
% 174.97/26.81 | | | | | | | | | | | | | | | | | (12684) all_65_78 = all_8_1
% 174.97/26.81 | | | | | | | | | | | | | | | | |
% 174.97/26.81 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e0, all_65_77, e1, e1,
% 174.97/26.81 | | | | | | | | | | | | | | | | | simplifying with (11622), (12676) gives:
% 174.97/26.81 | | | | | | | | | | | | | | | | | (12685) all_65_77 = e0
% 174.97/26.81 | | | | | | | | | | | | | | | | |
% 174.97/26.81 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_6, all_65_75, e2,
% 174.97/26.81 | | | | | | | | | | | | | | | | | e1, simplifying with (229), (12672) gives:
% 174.97/26.81 | | | | | | | | | | | | | | | | | (12686) all_65_75 = all_61_6
% 174.97/26.81 | | | | | | | | | | | | | | | | |
% 174.97/26.81 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_2, all_65_73, e3,
% 174.97/26.81 | | | | | | | | | | | | | | | | | e1, simplifying with (230), (12671) gives:
% 174.97/26.81 | | | | | | | | | | | | | | | | | (12687) all_65_73 = all_61_2
% 174.97/26.81 | | | | | | | | | | | | | | | | |
% 174.97/26.81 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_9, all_65_75, e1,
% 174.97/26.81 | | | | | | | | | | | | | | | | | e2, simplifying with (232), (12675) gives:
% 174.97/26.81 | | | | | | | | | | | | | | | | | (12688) all_65_75 = all_61_9
% 174.97/26.81 | | | | | | | | | | | | | | | | |
% 174.97/26.81 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_8, all_65_15, e1,
% 174.97/26.81 | | | | | | | | | | | | | | | | | e3, simplifying with (236), (12674) gives:
% 174.97/26.81 | | | | | | | | | | | | | | | | | (12689) all_65_15 = all_61_8
% 174.97/26.81 | | | | | | | | | | | | | | | | |
% 174.97/26.81 | | | | | | | | | | | | | | | | | COMBINE_EQS: (12686), (12688) imply:
% 174.97/26.81 | | | | | | | | | | | | | | | | | (12690) all_61_6 = all_61_9
% 174.97/26.81 | | | | | | | | | | | | | | | | |
% 174.97/26.81 | | | | | | | | | | | | | | | | | SIMP: (12690) implies:
% 174.97/26.81 | | | | | | | | | | | | | | | | | (12691) all_61_6 = all_61_9
% 174.97/26.81 | | | | | | | | | | | | | | | | |
% 174.97/26.81 | | | | | | | | | | | | | | | | | COMBINE_EQS: (12682), (12684) imply:
% 174.97/26.81 | | | | | | | | | | | | | | | | | (12692) all_50_1 = all_8_1
% 174.97/26.81 | | | | | | | | | | | | | | | | |
% 174.97/26.81 | | | | | | | | | | | | | | | | | COMBINE_EQS: (12682), (12683) imply:
% 174.97/26.81 | | | | | | | | | | | | | | | | | (12693) all_50_1 = all_42_1
% 174.97/26.81 | | | | | | | | | | | | | | | | |
% 174.97/26.81 | | | | | | | | | | | | | | | | | COMBINE_EQS: (12692), (12693) imply:
% 174.97/26.81 | | | | | | | | | | | | | | | | | (12694) all_42_1 = all_8_1
% 174.97/26.81 | | | | | | | | | | | | | | | | |
% 174.97/26.81 | | | | | | | | | | | | | | | | | REDUCE: (210), (12691) imply:
% 174.97/26.81 | | | | | | | | | | | | | | | | | (12695) ~ (all_61_2 = all_61_9)
% 174.97/26.81 | | | | | | | | | | | | | | | | |
% 174.97/26.81 | | | | | | | | | | | | | | | | | REDUCE: (672), (12691) imply:
% 174.97/26.81 | | | | | | | | | | | | | | | | | (12696) op(all_61_9, e1) = all_65_38
% 174.97/26.81 | | | | | | | | | | | | | | | | |
% 174.97/26.81 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_22_1, all_65_38, e1,
% 174.97/26.81 | | | | | | | | | | | | | | | | | all_61_9, simplifying with (12564), (12696) gives:
% 174.97/26.81 | | | | | | | | | | | | | | | | | (12697) all_65_38 = all_22_1
% 174.97/26.81 | | | | | | | | | | | | | | | | |
% 174.97/26.81 | | | | | | | | | | | | | | | | | BETA: splitting (161) gives:
% 174.97/26.81 | | | | | | | | | | | | | | | | |
% 174.97/26.81 | | | | | | | | | | | | | | | | | Case 1:
% 174.97/26.81 | | | | | | | | | | | | | | | | | |
% 174.97/26.81 | | | | | | | | | | | | | | | | | | (12698) ~ (all_58_2 = e2)
% 174.97/26.81 | | | | | | | | | | | | | | | | | |
% 174.97/26.81 | | | | | | | | | | | | | | | | | | REDUCE: (478), (12698) imply:
% 174.97/26.81 | | | | | | | | | | | | | | | | | | (12699) ~ (all_52_2 = e2)
% 174.97/26.81 | | | | | | | | | | | | | | | | | |
% 174.97/26.81 | | | | | | | | | | | | | | | | | | BETA: splitting (167) gives:
% 174.97/26.81 | | | | | | | | | | | | | | | | | |
% 174.97/26.81 | | | | | | | | | | | | | | | | | | Case 1:
% 174.97/26.81 | | | | | | | | | | | | | | | | | | |
% 174.97/26.81 | | | | | | | | | | | | | | | | | | | (12700) ~ (all_58_0 = e1)
% 174.97/26.81 | | | | | | | | | | | | | | | | | | |
% 174.97/26.81 | | | | | | | | | | | | | | | | | | | REDUCE: (484), (12700) imply:
% 174.97/26.81 | | | | | | | | | | | | | | | | | | | (12701) ~ (all_52_0 = e1)
% 174.97/26.81 | | | | | | | | | | | | | | | | | | |
% 174.97/26.81 | | | | | | | | | | | | | | | | | | | BETA: splitting (162) gives:
% 174.97/26.81 | | | | | | | | | | | | | | | | | | |
% 174.97/26.81 | | | | | | | | | | | | | | | | | | | Case 1:
% 174.97/26.81 | | | | | | | | | | | | | | | | | | | |
% 174.97/26.81 | | | | | | | | | | | | | | | | | | | | (12702) ~ (all_58_2 = e3)
% 174.97/26.81 | | | | | | | | | | | | | | | | | | | |
% 174.97/26.81 | | | | | | | | | | | | | | | | | | | | REDUCE: (478), (12702) imply:
% 174.97/26.81 | | | | | | | | | | | | | | | | | | | | (12703) ~ (all_52_2 = e3)
% 174.97/26.81 | | | | | | | | | | | | | | | | | | | |
% 174.97/26.81 | | | | | | | | | | | | | | | | | | | | BETA: splitting (157) gives:
% 174.97/26.81 | | | | | | | | | | | | | | | | | | | |
% 174.97/26.81 | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.97/26.81 | | | | | | | | | | | | | | | | | | | | |
% 174.97/26.81 | | | | | | | | | | | | | | | | | | | | | (12704) ~ (all_58_3 = e1)
% 174.97/26.81 | | | | | | | | | | | | | | | | | | | | |
% 174.97/26.81 | | | | | | | | | | | | | | | | | | | | | REDUCE: (475), (12704) imply:
% 174.97/26.81 | | | | | | | | | | | | | | | | | | | | | (12705) ~ (all_52_3 = e1)
% 174.97/26.81 | | | | | | | | | | | | | | | | | | | | |
% 174.97/26.81 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (50), (149), (160), (235), (475), (478),
% 174.97/26.81 | | | | | | | | | | | | | | | | | | | | | (538), (748), (11622), (12602), (12699), (12703),
% 174.97/26.81 | | | | | | | | | | | | | | | | | | | | | (12705) are inconsistent by sub-proof #168.
% 174.97/26.81 | | | | | | | | | | | | | | | | | | | | |
% 174.97/26.81 | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.97/26.81 | | | | | | | | | | | | | | | | | | | | |
% 174.97/26.81 | | | | | | | | | | | | | | | | | | | | | (12706) all_58_2 = e0
% 174.97/26.81 | | | | | | | | | | | | | | | | | | | | |
% 174.97/26.81 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (478), (12706) imply:
% 174.97/26.81 | | | | | | | | | | | | | | | | | | | | | (12707) all_52_2 = e0
% 174.97/26.81 | | | | | | | | | | | | | | | | | | | | |
% 174.97/26.81 | | | | | | | | | | | | | | | | | | | | | SIMP: (12707) implies:
% 174.97/26.81 | | | | | | | | | | | | | | | | | | | | | (12708) all_52_2 = e0
% 174.97/26.81 | | | | | | | | | | | | | | | | | | | | |
% 174.97/26.81 | | | | | | | | | | | | | | | | | | | | | REDUCE: (748), (12708) imply:
% 174.97/26.81 | | | | | | | | | | | | | | | | | | | | | (12709) op(e1, e0) = unit
% 174.97/26.81 | | | | | | | | | | | | | | | | | | | | |
% 174.97/26.81 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_8_1, unit, e0, e1,
% 174.97/26.81 | | | | | | | | | | | | | | | | | | | | | simplifying with (11606), (12709) gives:
% 174.97/26.81 | | | | | | | | | | | | | | | | | | | | | (12710) all_8_1 = unit
% 174.97/26.81 | | | | | | | | | | | | | | | | | | | | |
% 174.97/26.81 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11646), (12710) imply:
% 174.97/26.81 | | | | | | | | | | | | | | | | | | | | | (12711) all_63_11 = unit
% 174.97/26.81 | | | | | | | | | | | | | | | | | | | | |
% 174.97/26.81 | | | | | | | | | | | | | | | | | | | | | REDUCE: (11647), (12710) imply:
% 174.97/26.81 | | | | | | | | | | | | | | | | | | | | | (12712) ~ (all_61_2 = unit)
% 174.97/26.81 | | | | | | | | | | | | | | | | | | | | |
% 174.97/26.81 | | | | | | | | | | | | | | | | | | | | | REDUCE: (12557), (12710) imply:
% 174.97/26.81 | | | | | | | | | | | | | | | | | | | | | (12713) ~ (all_22_1 = unit)
% 174.97/26.81 | | | | | | | | | | | | | | | | | | | | |
% 174.97/26.81 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (260) gives:
% 174.97/26.81 | | | | | | | | | | | | | | | | | | | | |
% 174.97/26.81 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.97/26.81 | | | | | | | | | | | | | | | | | | | | | |
% 174.97/26.81 | | | | | | | | | | | | | | | | | | | | | | (12714) all_63_11 = e3
% 174.97/26.81 | | | | | | | | | | | | | | | | | | | | | |
% 174.97/26.81 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12711), (12714) imply:
% 174.97/26.81 | | | | | | | | | | | | | | | | | | | | | | (12715) unit = e3
% 174.97/26.81 | | | | | | | | | | | | | | | | | | | | | |
% 174.97/26.81 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11696), (12715) imply:
% 174.97/26.81 | | | | | | | | | | | | | | | | | | | | | | (12716) $false
% 174.97/26.81 | | | | | | | | | | | | | | | | | | | | | |
% 174.97/26.81 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (12716) is inconsistent.
% 174.97/26.81 | | | | | | | | | | | | | | | | | | | | | |
% 174.97/26.81 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.97/26.81 | | | | | | | | | | | | | | | | | | | | | |
% 174.97/26.81 | | | | | | | | | | | | | | | | | | | | | | (12717) all_63_11 = e2 | all_63_11 = e1 | all_63_11 = e0
% 174.97/26.81 | | | | | | | | | | | | | | | | | | | | | |
% 174.97/26.81 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12717) gives:
% 174.97/26.81 | | | | | | | | | | | | | | | | | | | | | |
% 174.97/26.81 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.97/26.81 | | | | | | | | | | | | | | | | | | | | | | |
% 174.97/26.81 | | | | | | | | | | | | | | | | | | | | | | | (12718) all_63_11 = e2
% 174.97/26.81 | | | | | | | | | | | | | | | | | | | | | | |
% 174.97/26.81 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12711), (12718) imply:
% 174.97/26.81 | | | | | | | | | | | | | | | | | | | | | | | (12719) unit = e2
% 174.97/26.81 | | | | | | | | | | | | | | | | | | | | | | |
% 174.97/26.81 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12712), (12719) imply:
% 174.97/26.81 | | | | | | | | | | | | | | | | | | | | | | | (12720) ~ (all_61_2 = e2)
% 174.97/26.81 | | | | | | | | | | | | | | | | | | | | | | |
% 174.97/26.81 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12713), (12719) imply:
% 174.97/26.81 | | | | | | | | | | | | | | | | | | | | | | | (12721) ~ (all_22_1 = e2)
% 174.97/26.81 | | | | | | | | | | | | | | | | | | | | | | |
% 174.97/26.81 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (263) gives:
% 174.97/26.81 | | | | | | | | | | | | | | | | | | | | | | |
% 174.97/26.81 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.97/26.81 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.97/26.81 | | | | | | | | | | | | | | | | | | | | | | | | (12722) all_63_8 = e3
% 174.97/26.81 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.97/26.81 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (499), (12722) imply:
% 174.97/26.81 | | | | | | | | | | | | | | | | | | | | | | | | (12723) all_61_2 = e3
% 174.97/26.81 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.97/26.81 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12600), (12723) imply:
% 174.97/26.81 | | | | | | | | | | | | | | | | | | | | | | | | (12724) $false
% 174.97/26.81 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.97/26.81 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (12724) is inconsistent.
% 174.97/26.81 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.97/26.81 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.97/26.81 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.97/26.81 | | | | | | | | | | | | | | | | | | | | | | | | (12725) all_63_8 = e2 | all_63_8 = e1 | all_63_8 = e0
% 174.97/26.81 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.97/26.81 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12725) gives:
% 174.97/26.81 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.97/26.81 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.97/26.81 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.97/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | (12726) all_63_8 = e2
% 174.97/26.81 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.97/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (499), (12726) imply:
% 174.97/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | (12727) all_61_2 = e2
% 174.97/26.81 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.97/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12720), (12727) imply:
% 174.97/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | (12728) $false
% 174.97/26.81 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.97/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (12728) is inconsistent.
% 174.97/26.81 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.97/26.81 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.97/26.81 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.97/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | (12729) all_63_8 = e1 | all_63_8 = e0
% 174.97/26.81 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.97/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (258) gives:
% 174.97/26.81 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.97/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.97/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.97/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | (12730) all_63_13 = e3
% 174.97/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.97/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12549), (12730) imply:
% 174.97/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | (12731) all_22_1 = e3
% 174.97/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.97/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12550), (12731) imply:
% 174.97/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | (12732) ~ (all_61_1 = e3)
% 174.97/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.97/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12554), (12731) imply:
% 174.97/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | (12733) ~ (all_61_9 = e3)
% 174.97/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.97/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12729) gives:
% 174.97/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.97/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.97/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.97/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12734) all_63_8 = e1
% 174.97/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.97/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (499), (12734) imply:
% 174.97/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12735) all_61_2 = e1
% 174.97/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.97/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (216), (12735) imply:
% 174.97/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12736) ~ (all_61_1 = e1)
% 174.97/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.97/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12695), (12735) imply:
% 174.97/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12737) ~ (all_61_9 = e1)
% 174.97/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.97/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12737) implies:
% 174.97/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12738) ~ (all_61_9 = e1)
% 174.97/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.97/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (213), (265), (267), (493), (497), (11613),
% 174.97/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12513), (12732), (12733), (12736), (12738) are
% 174.97/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #163.
% 174.97/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.97/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.97/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.97/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12739) all_63_8 = e0
% 174.97/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.97/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (499), (12739) imply:
% 174.97/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12740) all_61_2 = e0
% 174.97/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.97/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11610), (12740) imply:
% 174.97/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12741) $false
% 174.97/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.97/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (12741) is inconsistent.
% 174.97/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.97/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.97/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.97/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.97/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.97/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | (12742) all_63_13 = e2 | all_63_13 = e1 | all_63_13 = e0
% 174.97/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.97/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12549), (12558), (12668), (12721), (12742) are
% 174.97/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #415.
% 174.97/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.97/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.97/26.81 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.97/26.81 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.97/26.81 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.97/26.81 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.97/26.81 | | | | | | | | | | | | | | | | | | | | | | |
% 174.97/26.81 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.97/26.81 | | | | | | | | | | | | | | | | | | | | | | |
% 174.97/26.81 | | | | | | | | | | | | | | | | | | | | | | | (12743) all_63_11 = e1 | all_63_11 = e0
% 174.97/26.81 | | | | | | | | | | | | | | | | | | | | | | |
% 174.97/26.81 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11646), (11657), (12670), (12743) are
% 174.97/26.81 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #202.
% 174.97/26.81 | | | | | | | | | | | | | | | | | | | | | | |
% 174.97/26.81 | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.97/26.81 | | | | | | | | | | | | | | | | | | | | | |
% 174.97/26.81 | | | | | | | | | | | | | | | | | | | | | End of split
% 174.97/26.81 | | | | | | | | | | | | | | | | | | | | |
% 174.97/26.81 | | | | | | | | | | | | | | | | | | | | End of split
% 174.97/26.81 | | | | | | | | | | | | | | | | | | | |
% 174.97/26.81 | | | | | | | | | | | | | | | | | | | Case 2:
% 174.97/26.81 | | | | | | | | | | | | | | | | | | | |
% 174.97/26.81 | | | | | | | | | | | | | | | | | | | | (12744) all_58_0 = e1
% 174.97/26.81 | | | | | | | | | | | | | | | | | | | |
% 174.97/26.81 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (484), (12701), (12744) are inconsistent by
% 174.97/26.81 | | | | | | | | | | | | | | | | | | | | sub-proof #470.
% 174.97/26.81 | | | | | | | | | | | | | | | | | | | |
% 174.97/26.81 | | | | | | | | | | | | | | | | | | | End of split
% 174.97/26.81 | | | | | | | | | | | | | | | | | | |
% 174.97/26.81 | | | | | | | | | | | | | | | | | | Case 2:
% 174.97/26.81 | | | | | | | | | | | | | | | | | | |
% 174.99/26.81 | | | | | | | | | | | | | | | | | | | (12745) all_58_2 = e3
% 174.99/26.81 | | | | | | | | | | | | | | | | | | | (12746) all_58_0 = e1
% 174.99/26.81 | | | | | | | | | | | | | | | | | | |
% 174.99/26.81 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (50), (230), (236), (478), (484), (642),
% 174.99/26.81 | | | | | | | | | | | | | | | | | | | (714), (748), (12601), (12609), (12745), (12746)
% 174.99/26.81 | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #193.
% 174.99/26.81 | | | | | | | | | | | | | | | | | | |
% 174.99/26.81 | | | | | | | | | | | | | | | | | | End of split
% 174.99/26.81 | | | | | | | | | | | | | | | | | |
% 174.99/26.81 | | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.81 | | | | | | | | | | | | | | | | | |
% 174.99/26.81 | | | | | | | | | | | | | | | | | | (12747) all_58_1 = e1
% 174.99/26.81 | | | | | | | | | | | | | | | | | |
% 174.99/26.81 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (481), (12747) imply:
% 174.99/26.81 | | | | | | | | | | | | | | | | | | (12748) all_52_1 = e1
% 174.99/26.81 | | | | | | | | | | | | | | | | | |
% 174.99/26.81 | | | | | | | | | | | | | | | | | | SIMP: (12748) implies:
% 174.99/26.81 | | | | | | | | | | | | | | | | | | (12749) all_52_1 = e1
% 174.99/26.81 | | | | | | | | | | | | | | | | | |
% 174.99/26.81 | | | | | | | | | | | | | | | | | | REDUCE: (731), (12749) imply:
% 174.99/26.81 | | | | | | | | | | | | | | | | | | (12750) op(e2, e1) = unit
% 174.99/26.81 | | | | | | | | | | | | | | | | | |
% 174.99/26.81 | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (50), (232), (12564), (12668), (12750) are
% 174.99/26.81 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #162.
% 174.99/26.81 | | | | | | | | | | | | | | | | | |
% 174.99/26.81 | | | | | | | | | | | | | | | | | End of split
% 174.99/26.81 | | | | | | | | | | | | | | | | |
% 174.99/26.81 | | | | | | | | | | | | | | | | End of split
% 174.99/26.81 | | | | | | | | | | | | | | | |
% 174.99/26.81 | | | | | | | | | | | | | | | End of split
% 174.99/26.81 | | | | | | | | | | | | | | |
% 174.99/26.81 | | | | | | | | | | | | | | Case 2:
% 174.99/26.81 | | | | | | | | | | | | | | |
% 174.99/26.81 | | | | | | | | | | | | | | | (12751) all_63_0 = e2 | all_63_0 = e1 | all_63_0 = e0
% 174.99/26.81 | | | | | | | | | | | | | | |
% 174.99/26.81 | | | | | | | | | | | | | | | REF_CLOSE: (588), (11700), (12595), (12597), (12751) are
% 174.99/26.81 | | | | | | | | | | | | | | | inconsistent by sub-proof #503.
% 174.99/26.81 | | | | | | | | | | | | | | |
% 174.99/26.81 | | | | | | | | | | | | | | End of split
% 174.99/26.81 | | | | | | | | | | | | | |
% 174.99/26.81 | | | | | | | | | | | | | Case 2:
% 174.99/26.81 | | | | | | | | | | | | | |
% 174.99/26.81 | | | | | | | | | | | | | | (12752) all_40_2 = e1
% 174.99/26.81 | | | | | | | | | | | | | | (12753) op(e3, e1) = all_40_1 & $i(all_40_1) & ( ~
% 174.99/26.81 | | | | | | | | | | | | | | (all_40_1 = e0) | ( ~ (all_40_0 = e2) & op(e0,
% 174.99/26.81 | | | | | | | | | | | | | | e3) = all_40_0 & $i(all_40_0)))
% 174.99/26.81 | | | | | | | | | | | | | |
% 174.99/26.81 | | | | | | | | | | | | | | ALPHA: (12753) implies:
% 174.99/26.81 | | | | | | | | | | | | | | (12754) op(e3, e1) = all_40_1
% 174.99/26.81 | | | | | | | | | | | | | |
% 174.99/26.81 | | | | | | | | | | | | | | COMBINE_EQS: (553), (12752) imply:
% 174.99/26.81 | | | | | | | | | | | | | | (12755) all_14_2 = e1
% 174.99/26.81 | | | | | | | | | | | | | |
% 174.99/26.81 | | | | | | | | | | | | | | COMBINE_EQS: (466), (12755) imply:
% 174.99/26.81 | | | | | | | | | | | | | | (12756) all_48_2 = e1
% 174.99/26.81 | | | | | | | | | | | | | |
% 174.99/26.81 | | | | | | | | | | | | | | REDUCE: (593), (12755) imply:
% 174.99/26.81 | | | | | | | | | | | | | | (12757) ~ (all_61_1 = e1)
% 174.99/26.81 | | | | | | | | | | | | | |
% 174.99/26.81 | | | | | | | | | | | | | | REDUCE: (597), (12755) imply:
% 174.99/26.81 | | | | | | | | | | | | | | (12758) ~ (all_61_3 = e1)
% 174.99/26.81 | | | | | | | | | | | | | |
% 174.99/26.81 | | | | | | | | | | | | | | REDUCE: (599), (12755) imply:
% 174.99/26.81 | | | | | | | | | | | | | | (12759) ~ (all_61_4 = e1)
% 174.99/26.81 | | | | | | | | | | | | | |
% 174.99/26.81 | | | | | | | | | | | | | | REDUCE: (601), (12755) imply:
% 174.99/26.81 | | | | | | | | | | | | | | (12760) ~ (all_61_8 = e1)
% 174.99/26.81 | | | | | | | | | | | | | |
% 174.99/26.81 | | | | | | | | | | | | | | REDUCE: (634), (12755) imply:
% 174.99/26.81 | | | | | | | | | | | | | | (12761) op(e1, e3) = all_65_0
% 174.99/26.81 | | | | | | | | | | | | | |
% 174.99/26.81 | | | | | | | | | | | | | | REDUCE: (635), (12755) imply:
% 174.99/26.81 | | | | | | | | | | | | | | (12762) op(e1, e2) = all_65_1
% 174.99/26.81 | | | | | | | | | | | | | |
% 174.99/26.81 | | | | | | | | | | | | | | REDUCE: (636), (12755) imply:
% 174.99/26.81 | | | | | | | | | | | | | | (12763) op(e1, e1) = all_65_2
% 174.99/26.81 | | | | | | | | | | | | | |
% 174.99/26.81 | | | | | | | | | | | | | | REDUCE: (637), (12755) imply:
% 174.99/26.81 | | | | | | | | | | | | | | (12764) op(e1, e0) = all_65_3
% 174.99/26.81 | | | | | | | | | | | | | |
% 174.99/26.81 | | | | | | | | | | | | | | REDUCE: (698), (12755) imply:
% 174.99/26.81 | | | | | | | | | | | | | | (12765) op(e3, e1) = all_65_0
% 174.99/26.81 | | | | | | | | | | | | | |
% 174.99/26.81 | | | | | | | | | | | | | | REDUCE: (67), (12755) imply:
% 174.99/26.81 | | | | | | | | | | | | | | (12766) op(e3, e3) = e1
% 174.99/26.81 | | | | | | | | | | | | | |
% 174.99/26.81 | | | | | | | | | | | | | | REDUCE: (715), (12755) imply:
% 174.99/26.81 | | | | | | | | | | | | | | (12767) op(e2, e1) = all_65_16
% 174.99/26.81 | | | | | | | | | | | | | |
% 174.99/26.81 | | | | | | | | | | | | | | REDUCE: (732), (12755) imply:
% 174.99/26.81 | | | | | | | | | | | | | | (12768) op(e1, e1) = all_65_32
% 174.99/26.81 | | | | | | | | | | | | | |
% 174.99/26.81 | | | | | | | | | | | | | | REDUCE: (749), (12755) imply:
% 174.99/26.81 | | | | | | | | | | | | | | (12769) op(e0, e1) = all_65_49
% 174.99/26.81 | | | | | | | | | | | | | |
% 174.99/26.81 | | | | | | | | | | | | | | BETA: splitting (119) gives:
% 174.99/26.81 | | | | | | | | | | | | | |
% 174.99/26.81 | | | | | | | | | | | | | | Case 1:
% 174.99/26.81 | | | | | | | | | | | | | | |
% 174.99/26.81 | | | | | | | | | | | | | | | (12770) ~ (all_48_2 = e1)
% 174.99/26.81 | | | | | | | | | | | | | | |
% 174.99/26.81 | | | | | | | | | | | | | | | REDUCE: (12756), (12770) imply:
% 174.99/26.81 | | | | | | | | | | | | | | | (12771) $false
% 174.99/26.81 | | | | | | | | | | | | | | |
% 174.99/26.81 | | | | | | | | | | | | | | | CLOSE: (12771) is inconsistent.
% 174.99/26.81 | | | | | | | | | | | | | | |
% 174.99/26.81 | | | | | | | | | | | | | | Case 2:
% 174.99/26.81 | | | | | | | | | | | | | | |
% 174.99/26.81 | | | | | | | | | | | | | | | (12772) op(e3, e1) = all_48_1 & $i(all_48_1) & ( ~
% 174.99/26.81 | | | | | | | | | | | | | | | (all_48_1 = e2) | ( ~ (all_48_0 = e0) & op(e2,
% 174.99/26.81 | | | | | | | | | | | | | | | e3) = all_48_0 & $i(all_48_0)))
% 174.99/26.81 | | | | | | | | | | | | | | |
% 174.99/26.81 | | | | | | | | | | | | | | | ALPHA: (12772) implies:
% 174.99/26.81 | | | | | | | | | | | | | | | (12773) op(e3, e1) = all_48_1
% 174.99/26.81 | | | | | | | | | | | | | | |
% 174.99/26.81 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_8_1, all_65_49, e1,
% 174.99/26.81 | | | | | | | | | | | | | | | e0, simplifying with (11676), (12769) gives:
% 174.99/26.81 | | | | | | | | | | | | | | | (12774) all_65_49 = all_8_1
% 174.99/26.81 | | | | | | | | | | | | | | |
% 174.99/26.81 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_8_1, all_65_3, e0, e1,
% 174.99/26.81 | | | | | | | | | | | | | | | simplifying with (11606), (12764) gives:
% 174.99/26.81 | | | | | | | | | | | | | | | (12775) all_65_3 = all_8_1
% 174.99/26.81 | | | | | | | | | | | | | | |
% 174.99/26.81 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e0, all_65_2, e1, e1,
% 174.99/26.81 | | | | | | | | | | | | | | | simplifying with (11622), (12763) gives:
% 174.99/26.81 | | | | | | | | | | | | | | | (12776) all_65_2 = e0
% 174.99/26.81 | | | | | | | | | | | | | | |
% 174.99/26.81 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_32, all_65_2, e1,
% 174.99/26.81 | | | | | | | | | | | | | | | e1, simplifying with (12763), (12768) gives:
% 174.99/26.81 | | | | | | | | | | | | | | | (12777) all_65_2 = all_65_32
% 174.99/26.81 | | | | | | | | | | | | | | |
% 174.99/26.81 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_6, all_65_1, e2,
% 174.99/26.81 | | | | | | | | | | | | | | | e1, simplifying with (229), (12762) gives:
% 174.99/26.81 | | | | | | | | | | | | | | | (12778) all_65_1 = all_61_6
% 174.99/26.81 | | | | | | | | | | | | | | |
% 174.99/26.81 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_2, all_65_0, e3,
% 174.99/26.81 | | | | | | | | | | | | | | | e1, simplifying with (230), (12761) gives:
% 174.99/26.81 | | | | | | | | | | | | | | | (12779) all_65_0 = all_61_2
% 174.99/26.81 | | | | | | | | | | | | | | |
% 174.99/26.81 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_9, all_65_16, e1,
% 174.99/26.81 | | | | | | | | | | | | | | | e2, simplifying with (232), (12767) gives:
% 174.99/26.81 | | | | | | | | | | | | | | | (12780) all_65_16 = all_61_9
% 174.99/26.81 | | | | | | | | | | | | | | |
% 174.99/26.81 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_8, all_48_1, e1,
% 174.99/26.81 | | | | | | | | | | | | | | | e3, simplifying with (236), (12773) gives:
% 174.99/26.81 | | | | | | | | | | | | | | | (12781) all_61_8 = all_48_1
% 174.99/26.81 | | | | | | | | | | | | | | |
% 174.99/26.81 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_8, all_65_0, e1,
% 174.99/26.81 | | | | | | | | | | | | | | | e3, simplifying with (236), (12765) gives:
% 174.99/26.81 | | | | | | | | | | | | | | | (12782) all_65_0 = all_61_8
% 174.99/26.81 | | | | | | | | | | | | | | |
% 174.99/26.81 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_40_1, all_65_0, e1,
% 174.99/26.81 | | | | | | | | | | | | | | | e3, simplifying with (12754), (12765) gives:
% 174.99/26.81 | | | | | | | | | | | | | | | (12783) all_65_0 = all_40_1
% 174.99/26.81 | | | | | | | | | | | | | | |
% 174.99/26.81 | | | | | | | | | | | | | | | COMBINE_EQS: (12782), (12783) imply:
% 174.99/26.81 | | | | | | | | | | | | | | | (12784) all_61_8 = all_40_1
% 174.99/26.81 | | | | | | | | | | | | | | |
% 174.99/26.81 | | | | | | | | | | | | | | | SIMP: (12784) implies:
% 174.99/26.81 | | | | | | | | | | | | | | | (12785) all_61_8 = all_40_1
% 174.99/26.81 | | | | | | | | | | | | | | |
% 174.99/26.81 | | | | | | | | | | | | | | | COMBINE_EQS: (12779), (12783) imply:
% 174.99/26.81 | | | | | | | | | | | | | | | (12786) all_61_2 = all_40_1
% 174.99/26.81 | | | | | | | | | | | | | | |
% 174.99/26.81 | | | | | | | | | | | | | | | SIMP: (12786) implies:
% 174.99/26.81 | | | | | | | | | | | | | | | (12787) all_61_2 = all_40_1
% 174.99/26.81 | | | | | | | | | | | | | | |
% 174.99/26.81 | | | | | | | | | | | | | | | COMBINE_EQS: (12776), (12777) imply:
% 174.99/26.81 | | | | | | | | | | | | | | | (12788) all_65_32 = e0
% 174.99/26.81 | | | | | | | | | | | | | | |
% 174.99/26.81 | | | | | | | | | | | | | | | COMBINE_EQS: (12781), (12785) imply:
% 174.99/26.81 | | | | | | | | | | | | | | | (12789) all_48_1 = all_40_1
% 174.99/26.81 | | | | | | | | | | | | | | |
% 174.99/26.81 | | | | | | | | | | | | | | | COMBINE_EQS: (499), (12787) imply:
% 174.99/26.81 | | | | | | | | | | | | | | | (12790) all_63_8 = all_40_1
% 174.99/26.81 | | | | | | | | | | | | | | |
% 174.99/26.81 | | | | | | | | | | | | | | | COMBINE_EQS: (489), (12785) imply:
% 174.99/26.81 | | | | | | | | | | | | | | | (12791) all_63_2 = all_40_1
% 174.99/26.81 | | | | | | | | | | | | | | |
% 174.99/26.81 | | | | | | | | | | | | | | | REDUCE: (216), (12787) imply:
% 174.99/26.81 | | | | | | | | | | | | | | | (12792) ~ (all_61_1 = all_40_1)
% 174.99/26.81 | | | | | | | | | | | | | | |
% 174.99/26.81 | | | | | | | | | | | | | | | REDUCE: (211), (12787) imply:
% 174.99/26.81 | | | | | | | | | | | | | | | (12793) ~ (all_61_3 = all_40_1)
% 174.99/26.81 | | | | | | | | | | | | | | |
% 174.99/26.81 | | | | | | | | | | | | | | | SIMP: (12793) implies:
% 174.99/26.81 | | | | | | | | | | | | | | | (12794) ~ (all_61_3 = all_40_1)
% 174.99/26.81 | | | | | | | | | | | | | | |
% 174.99/26.81 | | | | | | | | | | | | | | | REDUCE: (210), (12787) imply:
% 174.99/26.81 | | | | | | | | | | | | | | | (12795) ~ (all_61_6 = all_40_1)
% 174.99/26.81 | | | | | | | | | | | | | | |
% 174.99/26.81 | | | | | | | | | | | | | | | SIMP: (12795) implies:
% 174.99/26.81 | | | | | | | | | | | | | | | (12796) ~ (all_61_6 = all_40_1)
% 174.99/26.81 | | | | | | | | | | | | | | |
% 174.99/26.81 | | | | | | | | | | | | | | | REDUCE: (201), (12785) imply:
% 174.99/26.81 | | | | | | | | | | | | | | | (12797) ~ (all_61_4 = all_40_1)
% 174.99/26.81 | | | | | | | | | | | | | | |
% 174.99/26.81 | | | | | | | | | | | | | | | REDUCE: (11651), (12785) imply:
% 174.99/26.81 | | | | | | | | | | | | | | | (12798) ~ (all_40_1 = all_8_1)
% 174.99/26.81 | | | | | | | | | | | | | | |
% 174.99/26.81 | | | | | | | | | | | | | | | REDUCE: (12760), (12785) imply:
% 174.99/26.81 | | | | | | | | | | | | | | | (12799) ~ (all_40_1 = e1)
% 174.99/26.81 | | | | | | | | | | | | | | |
% 174.99/26.81 | | | | | | | | | | | | | | | REDUCE: (11612), (12785) imply:
% 174.99/26.81 | | | | | | | | | | | | | | | (12800) ~ (all_40_1 = e0)
% 174.99/26.81 | | | | | | | | | | | | | | |
% 174.99/26.81 | | | | | | | | | | | | | | | REDUCE: (667), (12787) imply:
% 174.99/26.81 | | | | | | | | | | | | | | | (12801) op(all_40_1, e2) = all_65_33
% 174.99/26.81 | | | | | | | | | | | | | | |
% 174.99/26.81 | | | | | | | | | | | | | | | REDUCE: (668), (12787) imply:
% 174.99/26.81 | | | | | | | | | | | | | | | (12802) op(all_40_1, e1) = all_65_34
% 174.99/26.81 | | | | | | | | | | | | | | |
% 174.99/26.81 | | | | | | | | | | | | | | | REDUCE: (669), (12787) imply:
% 174.99/26.81 | | | | | | | | | | | | | | | (12803) op(all_40_1, e0) = all_65_35
% 174.99/26.81 | | | | | | | | | | | | | | |
% 174.99/26.81 | | | | | | | | | | | | | | | REDUCE: (682), (12774) imply:
% 174.99/26.81 | | | | | | | | | | | | | | | (12804) op(all_61_3, e3) = all_8_1
% 174.99/26.81 | | | | | | | | | | | | | | |
% 174.99/26.81 | | | | | | | | | | | | | | | REDUCE: (643), (12785) imply:
% 174.99/26.81 | | | | | | | | | | | | | | | (12805) op(all_40_1, e2) = all_65_9
% 174.99/26.81 | | | | | | | | | | | | | | |
% 174.99/26.81 | | | | | | | | | | | | | | | REDUCE: (11658), (12785) imply:
% 174.99/26.81 | | | | | | | | | | | | | | | (12806) op(all_40_1, e1) = all_61_12
% 174.99/26.81 | | | | | | | | | | | | | | |
% 174.99/26.81 | | | | | | | | | | | | | | | REDUCE: (11685), (12785) imply:
% 174.99/26.81 | | | | | | | | | | | | | | | (12807) op(all_40_1, e0) = all_65_14
% 174.99/26.81 | | | | | | | | | | | | | | |
% 174.99/26.81 | | | | | | | | | | | | | | | REDUCE: (723), (12787) imply:
% 174.99/26.81 | | | | | | | | | | | | | | | (12808) op(e2, all_40_1) = all_65_24
% 174.99/26.81 | | | | | | | | | | | | | | |
% 174.99/26.81 | | | | | | | | | | | | | | | REDUCE: (717), (12785) imply:
% 174.99/26.81 | | | | | | | | | | | | | | | (12809) op(e2, all_40_1) = all_65_18
% 174.99/26.81 | | | | | | | | | | | | | | |
% 174.99/26.81 | | | | | | | | | | | | | | | REDUCE: (11672), (12787) imply:
% 174.99/26.81 | | | | | | | | | | | | | | | (12810) op(e1, all_40_1) = all_61_3
% 174.99/26.81 | | | | | | | | | | | | | | |
% 174.99/26.81 | | | | | | | | | | | | | | | REDUCE: (734), (12785) imply:
% 174.99/26.81 | | | | | | | | | | | | | | | (12811) op(e1, all_40_1) = all_65_34
% 174.99/26.81 | | | | | | | | | | | | | | |
% 174.99/26.81 | | | | | | | | | | | | | | | REDUCE: (757), (12787) imply:
% 174.99/26.81 | | | | | | | | | | | | | | | (12812) op(e0, all_40_1) = all_65_65
% 174.99/26.81 | | | | | | | | | | | | | | |
% 174.99/26.81 | | | | | | | | | | | | | | | REDUCE: (751), (12785) imply:
% 174.99/26.81 | | | | | | | | | | | | | | | (12813) op(e0, all_40_1) = all_65_53
% 174.99/26.81 | | | | | | | | | | | | | | |
% 174.99/26.81 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_65, all_65_53,
% 174.99/26.81 | | | | | | | | | | | | | | | all_40_1, e0, simplifying with (12812), (12813)
% 174.99/26.81 | | | | | | | | | | | | | | | gives:
% 174.99/26.81 | | | | | | | | | | | | | | | (12814) all_65_53 = all_65_65
% 174.99/26.81 | | | | | | | | | | | | | | |
% 174.99/26.81 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_3, all_65_34,
% 174.99/26.81 | | | | | | | | | | | | | | | all_40_1, e1, simplifying with (12810), (12811)
% 174.99/26.81 | | | | | | | | | | | | | | | gives:
% 174.99/26.81 | | | | | | | | | | | | | | | (12815) all_65_34 = all_61_3
% 174.99/26.81 | | | | | | | | | | | | | | |
% 174.99/26.81 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_24, all_65_18,
% 174.99/26.81 | | | | | | | | | | | | | | | all_40_1, e2, simplifying with (12808), (12809)
% 174.99/26.81 | | | | | | | | | | | | | | | gives:
% 174.99/26.81 | | | | | | | | | | | | | | | (12816) all_65_18 = all_65_24
% 174.99/26.81 | | | | | | | | | | | | | | |
% 174.99/26.81 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_35, all_65_14, e0,
% 174.99/26.81 | | | | | | | | | | | | | | | all_40_1, simplifying with (12803), (12807) gives:
% 174.99/26.81 | | | | | | | | | | | | | | | (12817) all_65_14 = all_65_35
% 174.99/26.81 | | | | | | | | | | | | | | |
% 174.99/26.81 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_12, all_65_34, e1,
% 174.99/26.81 | | | | | | | | | | | | | | | all_40_1, simplifying with (12802), (12806) gives:
% 174.99/26.81 | | | | | | | | | | | | | | | (12818) all_65_34 = all_61_12
% 174.99/26.81 | | | | | | | | | | | | | | |
% 174.99/26.81 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_33, all_65_9, e2,
% 174.99/26.81 | | | | | | | | | | | | | | | all_40_1, simplifying with (12801), (12805) gives:
% 174.99/26.81 | | | | | | | | | | | | | | | (12819) all_65_9 = all_65_33
% 174.99/26.81 | | | | | | | | | | | | | | |
% 174.99/26.81 | | | | | | | | | | | | | | | COMBINE_EQS: (12815), (12818) imply:
% 174.99/26.81 | | | | | | | | | | | | | | | (12820) all_61_3 = all_61_12
% 174.99/26.81 | | | | | | | | | | | | | | |
% 174.99/26.81 | | | | | | | | | | | | | | | SIMP: (12820) implies:
% 174.99/26.81 | | | | | | | | | | | | | | | (12821) all_61_3 = all_61_12
% 174.99/26.81 | | | | | | | | | | | | | | |
% 174.99/26.81 | | | | | | | | | | | | | | | COMBINE_EQS: (506), (12821) imply:
% 174.99/26.81 | | | | | | | | | | | | | | | (12822) all_63_12 = all_61_12
% 174.99/26.81 | | | | | | | | | | | | | | |
% 174.99/26.81 | | | | | | | | | | | | | | | REDUCE: (215), (12821) imply:
% 174.99/26.81 | | | | | | | | | | | | | | | (12823) ~ (all_61_1 = all_61_12)
% 174.99/26.81 | | | | | | | | | | | | | | |
% 174.99/26.81 | | | | | | | | | | | | | | | REDUCE: (12794), (12821) imply:
% 174.99/26.81 | | | | | | | | | | | | | | | (12824) ~ (all_61_12 = all_40_1)
% 174.99/26.81 | | | | | | | | | | | | | | |
% 174.99/26.81 | | | | | | | | | | | | | | | REDUCE: (12758), (12821) imply:
% 174.99/26.81 | | | | | | | | | | | | | | | (12825) ~ (all_61_12 = e1)
% 174.99/26.81 | | | | | | | | | | | | | | |
% 174.99/26.81 | | | | | | | | | | | | | | | REDUCE: (12804), (12821) imply:
% 174.99/26.81 | | | | | | | | | | | | | | | (12826) op(all_61_12, e3) = all_8_1
% 174.99/26.81 | | | | | | | | | | | | | | |
% 174.99/26.81 | | | | | | | | | | | | | | | REDUCE: (683), (12821) imply:
% 174.99/26.81 | | | | | | | | | | | | | | | (12827) op(all_61_12, e2) = all_65_51
% 174.99/26.81 | | | | | | | | | | | | | | |
% 174.99/26.81 | | | | | | | | | | | | | | | REDUCE: (684), (12814), (12821) imply:
% 174.99/26.81 | | | | | | | | | | | | | | | (12828) op(all_61_12, e1) = all_65_65
% 174.99/26.81 | | | | | | | | | | | | | | |
% 174.99/26.81 | | | | | | | | | | | | | | | REDUCE: (685), (12821) imply:
% 174.99/26.82 | | | | | | | | | | | | | | | (12829) op(all_61_12, e0) = all_65_55
% 174.99/26.82 | | | | | | | | | | | | | | |
% 174.99/26.82 | | | | | | | | | | | | | | | REDUCE: (648), (12817) imply:
% 174.99/26.82 | | | | | | | | | | | | | | | (12830) op(all_61_12, e1) = all_65_35
% 174.99/26.82 | | | | | | | | | | | | | | |
% 174.99/26.82 | | | | | | | | | | | | | | | REDUCE: (710), (12821) imply:
% 174.99/26.82 | | | | | | | | | | | | | | | (12831) op(e3, all_61_12) = all_65_12
% 174.99/26.82 | | | | | | | | | | | | | | |
% 174.99/26.82 | | | | | | | | | | | | | | | REDUCE: (11668), (12817) imply:
% 174.99/26.82 | | | | | | | | | | | | | | | (12832) op(e3, all_8_1) = all_65_35
% 174.99/26.82 | | | | | | | | | | | | | | |
% 174.99/26.82 | | | | | | | | | | | | | | | REDUCE: (12588), (12821) imply:
% 174.99/26.82 | | | | | | | | | | | | | | | (12833) op(e2, all_61_12) = all_65_57
% 174.99/26.82 | | | | | | | | | | | | | | |
% 174.99/26.82 | | | | | | | | | | | | | | | REDUCE: (761), (12821) imply:
% 174.99/26.82 | | | | | | | | | | | | | | | (12834) op(e0, all_61_12) = all_65_73
% 174.99/26.82 | | | | | | | | | | | | | | |
% 174.99/26.82 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_55, all_65_73,
% 174.99/26.82 | | | | | | | | | | | | | | | all_61_12, e0, simplifying with (752), (12834)
% 174.99/26.82 | | | | | | | | | | | | | | | gives:
% 174.99/26.82 | | | | | | | | | | | | | | | (12835) all_65_55 = all_65_73
% 174.99/26.82 | | | | | | | | | | | | | | |
% 174.99/26.82 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_19, all_65_57,
% 174.99/26.82 | | | | | | | | | | | | | | | all_61_12, e2, simplifying with (718), (12833)
% 174.99/26.82 | | | | | | | | | | | | | | | gives:
% 174.99/26.82 | | | | | | | | | | | | | | | (12836) all_65_19 = all_65_57
% 174.99/26.82 | | | | | | | | | | | | | | |
% 174.99/26.82 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_15, all_65_55, e0,
% 174.99/26.82 | | | | | | | | | | | | | | | all_61_12, simplifying with (649), (12829) gives:
% 174.99/26.82 | | | | | | | | | | | | | | | (12837) all_65_15 = all_65_55
% 174.99/26.82 | | | | | | | | | | | | | | |
% 174.99/26.82 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_65, all_65_35, e1,
% 174.99/26.82 | | | | | | | | | | | | | | | all_61_12, simplifying with (12828), (12830)
% 174.99/26.82 | | | | | | | | | | | | | | | gives:
% 174.99/26.82 | | | | | | | | | | | | | | | (12838) all_65_35 = all_65_65
% 174.99/26.82 | | | | | | | | | | | | | | |
% 174.99/26.82 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_13, all_65_51, e2,
% 174.99/26.82 | | | | | | | | | | | | | | | all_61_12, simplifying with (647), (12827) gives:
% 174.99/26.82 | | | | | | | | | | | | | | | (12839) all_65_13 = all_65_51
% 174.99/26.82 | | | | | | | | | | | | | | |
% 174.99/26.82 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_12, all_8_1, e3,
% 174.99/26.82 | | | | | | | | | | | | | | | all_61_12, simplifying with (646), (12826) gives:
% 174.99/26.82 | | | | | | | | | | | | | | | (12840) all_65_12 = all_8_1
% 174.99/26.82 | | | | | | | | | | | | | | |
% 174.99/26.82 | | | | | | | | | | | | | | | COMBINE_EQS: (12835), (12837) imply:
% 174.99/26.82 | | | | | | | | | | | | | | | (12841) all_65_15 = all_65_73
% 174.99/26.82 | | | | | | | | | | | | | | |
% 174.99/26.82 | | | | | | | | | | | | | | | REDUCE: (653), (12836) imply:
% 174.99/26.82 | | | | | | | | | | | | | | | (12842) op(all_61_1, e0) = all_65_57
% 174.99/26.82 | | | | | | | | | | | | | | |
% 174.99/26.82 | | | | | | | | | | | | | | | REDUCE: (12585), (12839) imply:
% 174.99/26.82 | | | | | | | | | | | | | | | (12843) op(all_61_4, e0) = all_65_51
% 174.99/26.82 | | | | | | | | | | | | | | |
% 174.99/26.82 | | | | | | | | | | | | | | | REDUCE: (12829), (12835) imply:
% 174.99/26.82 | | | | | | | | | | | | | | | (12844) op(all_61_12, e0) = all_65_73
% 174.99/26.82 | | | | | | | | | | | | | | |
% 174.99/26.82 | | | | | | | | | | | | | | | REDUCE: (12803), (12838) imply:
% 174.99/26.82 | | | | | | | | | | | | | | | (12845) op(all_40_1, e0) = all_65_65
% 174.99/26.82 | | | | | | | | | | | | | | |
% 174.99/26.82 | | | | | | | | | | | | | | | REDUCE: (12831), (12840) imply:
% 174.99/26.82 | | | | | | | | | | | | | | | (12846) op(e3, all_61_12) = all_8_1
% 174.99/26.82 | | | | | | | | | | | | | | |
% 174.99/26.82 | | | | | | | | | | | | | | | REDUCE: (12569), (12839) imply:
% 174.99/26.82 | | | | | | | | | | | | | | | (12847) op(e3, all_22_1) = all_65_51
% 174.99/26.82 | | | | | | | | | | | | | | |
% 174.99/26.82 | | | | | | | | | | | | | | | REDUCE: (713), (12841) imply:
% 174.99/26.82 | | | | | | | | | | | | | | | (12848) op(e3, all_20_2) = all_65_73
% 174.99/26.82 | | | | | | | | | | | | | | |
% 174.99/26.82 | | | | | | | | | | | | | | | REDUCE: (12832), (12838) imply:
% 174.99/26.82 | | | | | | | | | | | | | | | (12849) op(e3, all_8_1) = all_65_65
% 174.99/26.82 | | | | | | | | | | | | | | |
% 174.99/26.82 | | | | | | | | | | | | | | | REDUCE: (735), (12838) imply:
% 174.99/26.82 | | | | | | | | | | | | | | | (12850) op(e1, all_61_12) = all_65_65
% 174.99/26.82 | | | | | | | | | | | | | | |
% 174.99/26.82 | | | | | | | | | | | | | | | BETA: splitting (110) gives:
% 174.99/26.82 | | | | | | | | | | | | | | |
% 174.99/26.82 | | | | | | | | | | | | | | | Case 1:
% 174.99/26.82 | | | | | | | | | | | | | | | |
% 174.99/26.82 | | | | | | | | | | | | | | | | (12851) ~ (all_42_2 = e1)
% 174.99/26.82 | | | | | | | | | | | | | | | |
% 174.99/26.82 | | | | | | | | | | | | | | | | REDUCE: (532), (12851) imply:
% 174.99/26.82 | | | | | | | | | | | | | | | | (12852) ~ (all_20_2 = e1)
% 174.99/26.82 | | | | | | | | | | | | | | | |
% 174.99/26.82 | | | | | | | | | | | | | | | | BETA: splitting (256) gives:
% 174.99/26.82 | | | | | | | | | | | | | | | |
% 174.99/26.82 | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.82 | | | | | | | | | | | | | | | | |
% 174.99/26.82 | | | | | | | | | | | | | | | | | (12853) all_63_15 = e3
% 174.99/26.82 | | | | | | | | | | | | | | | | |
% 174.99/26.82 | | | | | | | | | | | | | | | | | REF_CLOSE: (422), (12593), (12853) are inconsistent by
% 174.99/26.82 | | | | | | | | | | | | | | | | | sub-proof #501.
% 174.99/26.82 | | | | | | | | | | | | | | | | |
% 174.99/26.82 | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.82 | | | | | | | | | | | | | | | | |
% 174.99/26.82 | | | | | | | | | | | | | | | | | (12854) all_63_15 = e2 | all_63_15 = e1 | all_63_15 = e0
% 174.99/26.82 | | | | | | | | | | | | | | | | |
% 174.99/26.82 | | | | | | | | | | | | | | | | | BETA: splitting (12854) gives:
% 174.99/26.82 | | | | | | | | | | | | | | | | |
% 174.99/26.82 | | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.82 | | | | | | | | | | | | | | | | | |
% 174.99/26.82 | | | | | | | | | | | | | | | | | | (12855) all_63_15 = e2
% 174.99/26.82 | | | | | | | | | | | | | | | | | |
% 174.99/26.82 | | | | | | | | | | | | | | | | | | REF_CLOSE: (422), (11701), (12855) are inconsistent by
% 174.99/26.82 | | | | | | | | | | | | | | | | | | sub-proof #500.
% 174.99/26.82 | | | | | | | | | | | | | | | | | |
% 174.99/26.82 | | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.82 | | | | | | | | | | | | | | | | | |
% 174.99/26.82 | | | | | | | | | | | | | | | | | | (12856) all_63_15 = e1 | all_63_15 = e0
% 174.99/26.82 | | | | | | | | | | | | | | | | | |
% 174.99/26.82 | | | | | | | | | | | | | | | | | | BETA: splitting (12856) gives:
% 174.99/26.82 | | | | | | | | | | | | | | | | | |
% 174.99/26.82 | | | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.82 | | | | | | | | | | | | | | | | | | |
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | (12857) all_63_15 = e1
% 174.99/26.82 | | | | | | | | | | | | | | | | | | |
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (422), (12852), (12857) are inconsistent by
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | sub-proof #499.
% 174.99/26.82 | | | | | | | | | | | | | | | | | | |
% 174.99/26.82 | | | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.82 | | | | | | | | | | | | | | | | | | |
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | (12858) all_63_15 = e0
% 174.99/26.82 | | | | | | | | | | | | | | | | | | |
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (422), (12858) imply:
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | (12859) all_20_2 = e0
% 174.99/26.82 | | | | | | | | | | | | | | | | | | |
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | SIMP: (12859) implies:
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | (12860) all_20_2 = e0
% 174.99/26.82 | | | | | | | | | | | | | | | | | | |
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | REDUCE: (625), (12860) imply:
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | (12861) ~ (all_61_12 = e0)
% 174.99/26.82 | | | | | | | | | | | | | | | | | | |
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | REDUCE: (11662), (12860) imply:
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | (12862) op(all_8_1, e1) = e0
% 174.99/26.82 | | | | | | | | | | | | | | | | | | |
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | REDUCE: (12848), (12860) imply:
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | (12863) op(e3, e0) = all_65_73
% 174.99/26.82 | | | | | | | | | | | | | | | | | | |
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | REDUCE: (12590), (12860) imply:
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | (12864) op(e2, e0) = all_65_75
% 174.99/26.82 | | | | | | | | | | | | | | | | | | |
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | REDUCE: (11689), (12860) imply:
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | (12865) op(e1, e0) = all_65_77
% 174.99/26.82 | | | | | | | | | | | | | | | | | | |
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | REDUCE: (764), (12860) imply:
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | (12866) op(e0, e0) = all_65_78
% 174.99/26.82 | | | | | | | | | | | | | | | | | | |
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | REDUCE: (76), (12860) imply:
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | (12867) op(e0, e0) = e0
% 174.99/26.82 | | | | | | | | | | | | | | | | | | |
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | BETA: splitting (170) gives:
% 174.99/26.82 | | | | | | | | | | | | | | | | | | |
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | (12868) ( ~ (all_60_0 = e0) & op(e3, e3) = all_60_0 &
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | $i(all_60_0)) | ( ~ (all_60_1 = e0) & op(e2, e2)
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | = all_60_1 & $i(all_60_1))
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | BETA: splitting (12868) gives:
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | (12869) ~ (all_60_0 = e0) & op(e3, e3) = all_60_0 &
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | $i(all_60_0)
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | ALPHA: (12869) implies:
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | (12870) op(e3, e3) = all_60_0
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e0, all_65_78, e0, e0,
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | simplifying with (12866), (12867) gives:
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | (12871) all_65_78 = e0
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_8_1, all_65_77, e0,
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | e1, simplifying with (11606), (12865) gives:
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | (12872) all_65_77 = all_8_1
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_22_1, all_65_75, e0,
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | e2, simplifying with (12509), (12864) gives:
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | (12873) all_65_75 = all_22_1
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_12, all_65_73, e0,
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | e3, simplifying with (235), (12863) gives:
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | (12874) all_65_73 = all_61_12
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e1, all_60_0, e3, e3,
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | simplifying with (12766), (12870) gives:
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | (12875) all_60_0 = e1
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (157) gives:
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | (12876) ~ (all_58_3 = e1)
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (475), (12876) imply:
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | (12877) ~ (all_52_3 = e1)
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (159) gives:
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | (12878) ~ (all_58_3 = e3)
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (475), (12878) imply:
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | (12879) ~ (all_52_3 = e3)
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (162) gives:
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | | (12880) ~ (all_58_2 = e3)
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (478), (12880) imply:
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | | (12881) ~ (all_52_2 = e3)
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (167) gives:
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | (12882) ~ (all_58_0 = e1)
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (484), (12882) imply:
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | (12883) ~ (all_52_0 = e1)
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (163) gives:
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | (12884) ~ (all_58_1 = e0)
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (481), (12884) imply:
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | (12885) ~ (all_52_1 = e0)
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (158) gives:
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12886) ~ (all_58_3 = e2)
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (475), (12886) imply:
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12887) ~ (all_52_3 = e2)
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (50), (148), (200), (235), (270), (488),
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | (539), (765), (12509), (12514), (12552), (12759),
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12867), (12877), (12879), (12887) are
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #161.
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12888) all_58_1 = e0
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (481), (12885), (12888) are inconsistent by
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #462.
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | (12889) all_58_3 = e2
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | (12890) all_58_1 = e0
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (481), (12890) imply:
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | (12891) all_52_1 = e0
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12891) implies:
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | (12892) all_52_1 = e0
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (475), (12889) imply:
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | (12893) all_52_3 = e2
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (628), (12892) imply:
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | (12894) ~ (all_52_0 = e0)
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (630), (12893) imply:
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | (12895) ~ (all_52_0 = e2)
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (631), (12892) imply:
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | (12896) ~ (all_52_2 = e0)
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12896) implies:
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | (12897) ~ (all_52_2 = e0)
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (633), (12893) imply:
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | (12898) ~ (all_52_2 = e2)
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (149) gives:
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12899) all_56_2 = e3
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (538), (12881), (12899) are inconsistent by
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #482.
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12900) all_56_2 = e2 | all_56_2 = e1 | all_56_2 = e0
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (151) gives:
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12901) all_56_0 = e3
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (534), (12901) imply:
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12902) all_52_0 = e3
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12902) implies:
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12903) all_52_0 = e3
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (714), (12903) imply:
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12904) op(e3, e3) = unit
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12900) gives:
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12905) all_56_2 = e2
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (538), (12905) imply:
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12906) all_52_2 = e2
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12898), (12906) imply:
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12907) $false
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (12907) is inconsistent.
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12908) all_56_2 = e1 | all_56_2 = e0
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12908) gives:
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12909) all_56_2 = e1
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (538), (12909) imply:
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12910) all_52_2 = e1
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (748), (12910) imply:
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12911) op(e1, e1) = unit
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e0, unit, e1, e1,
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (11622), (12911) gives:
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12912) unit = e0
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (50), (12766), (12904), (12912) are
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #160.
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12913) all_56_2 = e0
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (538), (12913) imply:
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12914) all_52_2 = e0
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12897), (12914) imply:
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12915) $false
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (12915) is inconsistent.
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12916) all_56_0 = e2 | all_56_0 = e1 | all_56_0 = e0
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (534), (12883), (12894), (12895), (12916) are
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #512.
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | (12917) all_58_2 = e3
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (478), (12881), (12917) are inconsistent by
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #507.
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | | (12918) all_58_0 = e1
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (484), (12918) imply:
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | | (12919) all_52_0 = e1
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12919) implies:
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | | (12920) all_52_0 = e1
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (714), (12920) imply:
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | | (12921) op(e3, e1) = unit
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_40_1, unit, e1, e3,
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (12754), (12921) gives:
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | | (12922) all_40_1 = unit
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12792), (12922) imply:
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | | (12923) ~ (all_61_1 = unit)
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12799), (12922) imply:
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | | (12924) ~ (unit = e1)
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12800), (12922) imply:
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | | (12925) ~ (unit = e0)
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (259), (263), (267), (268), (491), (493), (11697),
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | | (12513), (12757), (12790), (12792), (12799),
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | | (12800), (12822), (12823), (12824), (12825),
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | | (12861), (12923), (12924), (12925) are
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #159.
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | (12926) all_58_0 = e0
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (484), (12926) imply:
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | (12927) all_52_0 = e0
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12927) implies:
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | (12928) all_52_0 = e0
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (714), (12928) imply:
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | (12929) op(e3, e0) = unit
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_12, unit, e0, e3,
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (235), (12929) gives:
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | (12930) all_61_12 = unit
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12823), (12930) imply:
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | (12931) ~ (all_61_1 = unit)
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12825), (12930) imply:
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | (12932) ~ (unit = e1)
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12861), (12930) imply:
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | (12933) ~ (unit = e0)
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (259), (263), (267), (268), (491), (493), (11697),
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | (12513), (12757), (12790), (12792), (12799),
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | (12800), (12822), (12823), (12824), (12825),
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | (12861), (12931), (12932), (12933) are
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #159.
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | (12934) all_58_3 = e1
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | (12935) all_58_2 = e0
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (50), (475), (478), (633), (748), (11606),
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | (12862), (12934), (12935) are inconsistent by
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | | sub-proof #166.
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | End of split
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | (12936) ~ (all_60_1 = e0) & op(e2, e2) = all_60_1 &
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | $i(all_60_1)
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | ALPHA: (12936) implies:
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | (12937) ~ (all_60_1 = e0)
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | (12938) op(e2, e2) = all_60_1
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (50), (12522), (12937), (12938) are inconsistent
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | by sub-proof #158.
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | End of split
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | (12939) ( ~ (all_60_2 = e0) & op(e1, e1) = all_60_2 &
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | $i(all_60_2)) | ( ~ (all_60_3 = e0) & op(e0, e0)
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | = all_60_3 & $i(all_60_3))
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | BETA: splitting (12939) gives:
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | (12940) ~ (all_60_2 = e0) & op(e1, e1) = all_60_2 &
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | $i(all_60_2)
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (50), (11622), (12940) are inconsistent by
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | sub-proof #157.
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | (12941) ~ (all_60_3 = e0) & op(e0, e0) = all_60_3 &
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | $i(all_60_3)
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (50), (12866), (12867), (12941) are inconsistent
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | | by sub-proof #156.
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | | End of split
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.82 | | | | | | | | | | | | | | | | | | | End of split
% 174.99/26.82 | | | | | | | | | | | | | | | | | | |
% 174.99/26.82 | | | | | | | | | | | | | | | | | | End of split
% 174.99/26.82 | | | | | | | | | | | | | | | | | |
% 174.99/26.82 | | | | | | | | | | | | | | | | | End of split
% 174.99/26.82 | | | | | | | | | | | | | | | | |
% 174.99/26.82 | | | | | | | | | | | | | | | | End of split
% 174.99/26.82 | | | | | | | | | | | | | | | |
% 174.99/26.82 | | | | | | | | | | | | | | | Case 2:
% 174.99/26.82 | | | | | | | | | | | | | | | |
% 174.99/26.82 | | | | | | | | | | | | | | | | (12942) all_42_2 = e1
% 174.99/26.82 | | | | | | | | | | | | | | | | (12943) op(e0, e1) = all_42_1 & $i(all_42_1) & ( ~
% 174.99/26.82 | | | | | | | | | | | | | | | | (all_42_1 = e3) | ( ~ (all_42_0 = e2) & op(e3,
% 174.99/26.82 | | | | | | | | | | | | | | | | e0) = all_42_0 & $i(all_42_0)))
% 174.99/26.82 | | | | | | | | | | | | | | | |
% 174.99/26.82 | | | | | | | | | | | | | | | | ALPHA: (12943) implies:
% 174.99/26.82 | | | | | | | | | | | | | | | | (12944) op(e0, e1) = all_42_1
% 174.99/26.82 | | | | | | | | | | | | | | | | (12945) ~ (all_42_1 = e3) | ( ~ (all_42_0 = e2) & op(e3,
% 174.99/26.82 | | | | | | | | | | | | | | | | e0) = all_42_0 & $i(all_42_0))
% 174.99/26.82 | | | | | | | | | | | | | | | |
% 174.99/26.82 | | | | | | | | | | | | | | | | COMBINE_EQS: (532), (12942) imply:
% 174.99/26.82 | | | | | | | | | | | | | | | | (12946) all_20_2 = e1
% 174.99/26.82 | | | | | | | | | | | | | | | |
% 174.99/26.82 | | | | | | | | | | | | | | | | COMBINE_EQS: (582), (12946) imply:
% 174.99/26.82 | | | | | | | | | | | | | | | | (12947) all_50_2 = e1
% 174.99/26.82 | | | | | | | | | | | | | | | |
% 174.99/26.82 | | | | | | | | | | | | | | | | REDUCE: (12556), (12946) imply:
% 174.99/26.82 | | | | | | | | | | | | | | | | (12948) ~ (all_22_1 = e1)
% 174.99/26.82 | | | | | | | | | | | | | | | |
% 174.99/26.82 | | | | | | | | | | | | | | | | REDUCE: (11656), (12946) imply:
% 174.99/26.82 | | | | | | | | | | | | | | | | (12949) ~ (all_8_1 = e1)
% 174.99/26.82 | | | | | | | | | | | | | | | |
% 174.99/26.82 | | | | | | | | | | | | | | | | SIMP: (12949) implies:
% 174.99/26.82 | | | | | | | | | | | | | | | | (12950) ~ (all_8_1 = e1)
% 174.99/26.82 | | | | | | | | | | | | | | | |
% 174.99/26.82 | | | | | | | | | | | | | | | | REDUCE: (695), (12946) imply:
% 174.99/26.82 | | | | | | | | | | | | | | | | (12951) op(e1, e2) = all_65_75
% 174.99/26.82 | | | | | | | | | | | | | | | |
% 174.99/26.82 | | | | | | | | | | | | | | | | REDUCE: (697), (12946) imply:
% 174.99/26.83 | | | | | | | | | | | | | | | | (12952) op(e1, e0) = all_65_78
% 174.99/26.83 | | | | | | | | | | | | | | | |
% 174.99/26.83 | | | | | | | | | | | | | | | | REDUCE: (11662), (12946) imply:
% 174.99/26.83 | | | | | | | | | | | | | | | | (12953) op(all_8_1, e1) = e1
% 174.99/26.83 | | | | | | | | | | | | | | | |
% 174.99/26.83 | | | | | | | | | | | | | | | | REDUCE: (12848), (12946) imply:
% 174.99/26.83 | | | | | | | | | | | | | | | | (12954) op(e3, e1) = all_65_73
% 174.99/26.83 | | | | | | | | | | | | | | | |
% 174.99/26.83 | | | | | | | | | | | | | | | | REDUCE: (12589), (12946) imply:
% 174.99/26.83 | | | | | | | | | | | | | | | | (12955) op(e2, all_22_1) = e1
% 174.99/26.83 | | | | | | | | | | | | | | | |
% 174.99/26.83 | | | | | | | | | | | | | | | | REDUCE: (12590), (12946) imply:
% 174.99/26.83 | | | | | | | | | | | | | | | | (12956) op(e2, e1) = all_65_75
% 174.99/26.83 | | | | | | | | | | | | | | | |
% 174.99/26.83 | | | | | | | | | | | | | | | | REDUCE: (11689), (12946) imply:
% 174.99/26.83 | | | | | | | | | | | | | | | | (12957) op(e1, e1) = all_65_77
% 174.99/26.83 | | | | | | | | | | | | | | | |
% 174.99/26.83 | | | | | | | | | | | | | | | | REDUCE: (764), (12946) imply:
% 174.99/26.83 | | | | | | | | | | | | | | | | (12958) op(e0, e1) = all_65_78
% 174.99/26.83 | | | | | | | | | | | | | | | |
% 174.99/26.83 | | | | | | | | | | | | | | | | REDUCE: (76), (12946) imply:
% 174.99/26.83 | | | | | | | | | | | | | | | | (12959) op(e0, e0) = e1
% 174.99/26.83 | | | | | | | | | | | | | | | |
% 174.99/26.83 | | | | | | | | | | | | | | | | BETA: splitting (122) gives:
% 174.99/26.83 | | | | | | | | | | | | | | | |
% 174.99/26.83 | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.83 | | | | | | | | | | | | | | | | |
% 174.99/26.83 | | | | | | | | | | | | | | | | | (12960) ~ (all_50_2 = e1)
% 174.99/26.83 | | | | | | | | | | | | | | | | |
% 174.99/26.83 | | | | | | | | | | | | | | | | | REDUCE: (12947), (12960) imply:
% 174.99/26.83 | | | | | | | | | | | | | | | | | (12961) $false
% 174.99/26.83 | | | | | | | | | | | | | | | | |
% 174.99/26.83 | | | | | | | | | | | | | | | | | CLOSE: (12961) is inconsistent.
% 174.99/26.83 | | | | | | | | | | | | | | | | |
% 174.99/26.83 | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.83 | | | | | | | | | | | | | | | | |
% 174.99/26.83 | | | | | | | | | | | | | | | | | (12962) op(e0, e1) = all_50_1 & $i(all_50_1) & ( ~
% 174.99/26.83 | | | | | | | | | | | | | | | | | (all_50_1 = e2) | ( ~ (all_50_0 = e3) & op(e2,
% 174.99/26.83 | | | | | | | | | | | | | | | | | e0) = all_50_0 & $i(all_50_0)))
% 174.99/26.83 | | | | | | | | | | | | | | | | |
% 174.99/26.83 | | | | | | | | | | | | | | | | | ALPHA: (12962) implies:
% 174.99/26.83 | | | | | | | | | | | | | | | | | (12963) op(e0, e1) = all_50_1
% 174.99/26.83 | | | | | | | | | | | | | | | | |
% 174.99/26.83 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_42_1, all_50_1, e1,
% 174.99/26.83 | | | | | | | | | | | | | | | | | e0, simplifying with (12944), (12963) gives:
% 174.99/26.83 | | | | | | | | | | | | | | | | | (12964) all_50_1 = all_42_1
% 174.99/26.83 | | | | | | | | | | | | | | | | |
% 174.99/26.83 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_50_1, all_65_78, e1,
% 174.99/26.83 | | | | | | | | | | | | | | | | | e0, simplifying with (12958), (12963) gives:
% 174.99/26.83 | | | | | | | | | | | | | | | | | (12965) all_65_78 = all_50_1
% 174.99/26.83 | | | | | | | | | | | | | | | | |
% 174.99/26.83 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_8_1, all_65_78, e0,
% 174.99/26.83 | | | | | | | | | | | | | | | | | e1, simplifying with (11606), (12952) gives:
% 174.99/26.83 | | | | | | | | | | | | | | | | | (12966) all_65_78 = all_8_1
% 174.99/26.83 | | | | | | | | | | | | | | | | |
% 174.99/26.83 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e0, all_65_77, e1, e1,
% 174.99/26.83 | | | | | | | | | | | | | | | | | simplifying with (11622), (12957) gives:
% 174.99/26.83 | | | | | | | | | | | | | | | | | (12967) all_65_77 = e0
% 174.99/26.83 | | | | | | | | | | | | | | | | |
% 174.99/26.83 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_6, all_65_75, e2,
% 174.99/26.83 | | | | | | | | | | | | | | | | | e1, simplifying with (229), (12951) gives:
% 174.99/26.83 | | | | | | | | | | | | | | | | | (12968) all_65_75 = all_61_6
% 174.99/26.83 | | | | | | | | | | | | | | | | |
% 174.99/26.83 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_9, all_65_75, e1,
% 174.99/26.83 | | | | | | | | | | | | | | | | | e2, simplifying with (232), (12956) gives:
% 174.99/26.83 | | | | | | | | | | | | | | | | | (12969) all_65_75 = all_61_9
% 174.99/26.83 | | | | | | | | | | | | | | | | |
% 174.99/26.83 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_40_1, all_65_73, e1,
% 174.99/26.83 | | | | | | | | | | | | | | | | | e3, simplifying with (12754), (12954) gives:
% 174.99/26.83 | | | | | | | | | | | | | | | | | (12970) all_65_73 = all_40_1
% 174.99/26.83 | | | | | | | | | | | | | | | | |
% 174.99/26.83 | | | | | | | | | | | | | | | | | COMBINE_EQS: (12968), (12969) imply:
% 174.99/26.83 | | | | | | | | | | | | | | | | | (12971) all_61_6 = all_61_9
% 174.99/26.83 | | | | | | | | | | | | | | | | |
% 174.99/26.83 | | | | | | | | | | | | | | | | | SIMP: (12971) implies:
% 174.99/26.83 | | | | | | | | | | | | | | | | | (12972) all_61_6 = all_61_9
% 174.99/26.83 | | | | | | | | | | | | | | | | |
% 174.99/26.83 | | | | | | | | | | | | | | | | | COMBINE_EQS: (12965), (12966) imply:
% 174.99/26.83 | | | | | | | | | | | | | | | | | (12973) all_50_1 = all_8_1
% 174.99/26.83 | | | | | | | | | | | | | | | | |
% 174.99/26.83 | | | | | | | | | | | | | | | | | SIMP: (12973) implies:
% 174.99/26.83 | | | | | | | | | | | | | | | | | (12974) all_50_1 = all_8_1
% 174.99/26.83 | | | | | | | | | | | | | | | | |
% 174.99/26.83 | | | | | | | | | | | | | | | | | COMBINE_EQS: (12964), (12974) imply:
% 174.99/26.83 | | | | | | | | | | | | | | | | | (12975) all_42_1 = all_8_1
% 174.99/26.83 | | | | | | | | | | | | | | | | |
% 174.99/26.83 | | | | | | | | | | | | | | | | | SIMP: (12975) implies:
% 174.99/26.83 | | | | | | | | | | | | | | | | | (12976) all_42_1 = all_8_1
% 174.99/26.83 | | | | | | | | | | | | | | | | |
% 174.99/26.83 | | | | | | | | | | | | | | | | | REDUCE: (12796), (12972) imply:
% 174.99/26.83 | | | | | | | | | | | | | | | | | (12977) ~ (all_61_9 = all_40_1)
% 174.99/26.83 | | | | | | | | | | | | | | | | |
% 174.99/26.83 | | | | | | | | | | | | | | | | | REDUCE: (670), (12972) imply:
% 174.99/26.83 | | | | | | | | | | | | | | | | | (12978) op(all_61_9, e3) = all_65_36
% 174.99/26.83 | | | | | | | | | | | | | | | | |
% 174.99/26.83 | | | | | | | | | | | | | | | | | REDUCE: (12586), (12972) imply:
% 174.99/26.83 | | | | | | | | | | | | | | | | | (12979) op(all_61_9, e0) = all_65_67
% 174.99/26.83 | | | | | | | | | | | | | | | | |
% 174.99/26.83 | | | | | | | | | | | | | | | | | REDUCE: (12844), (12970) imply:
% 174.99/26.83 | | | | | | | | | | | | | | | | | (12980) op(all_61_12, e0) = all_40_1
% 174.99/26.83 | | | | | | | | | | | | | | | | |
% 174.99/26.83 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_61, all_65_67, e0,
% 174.99/26.83 | | | | | | | | | | | | | | | | | all_61_9, simplifying with (12587), (12979) gives:
% 174.99/26.83 | | | | | | | | | | | | | | | | | (12981) all_65_61 = all_65_67
% 174.99/26.83 | | | | | | | | | | | | | | | | |
% 174.99/26.83 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_24, all_65_36, e3,
% 174.99/26.83 | | | | | | | | | | | | | | | | | all_61_9, simplifying with (658), (12978) gives:
% 174.99/26.83 | | | | | | | | | | | | | | | | | (12982) all_65_24 = all_65_36
% 174.99/26.83 | | | | | | | | | | | | | | | | |
% 174.99/26.83 | | | | | | | | | | | | | | | | | REDUCE: (12562), (12981) imply:
% 174.99/26.83 | | | | | | | | | | | | | | | | | (12983) op(all_22_1, e1) = all_65_67
% 174.99/26.83 | | | | | | | | | | | | | | | | |
% 174.99/26.83 | | | | | | | | | | | | | | | | | REDUCE: (12808), (12982) imply:
% 174.99/26.83 | | | | | | | | | | | | | | | | | (12984) op(e2, all_40_1) = all_65_36
% 174.99/26.83 | | | | | | | | | | | | | | | | |
% 174.99/26.83 | | | | | | | | | | | | | | | | | REDUCE: (12591), (12981) imply:
% 174.99/26.83 | | | | | | | | | | | | | | | | | (12985) op(e2, all_8_1) = all_65_67
% 174.99/26.83 | | | | | | | | | | | | | | | | |
% 174.99/26.83 | | | | | | | | | | | | | | | | | BETA: splitting (157) gives:
% 174.99/26.83 | | | | | | | | | | | | | | | | |
% 174.99/26.83 | | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.83 | | | | | | | | | | | | | | | | | |
% 174.99/26.83 | | | | | | | | | | | | | | | | | | (12986) ~ (all_58_3 = e1)
% 174.99/26.83 | | | | | | | | | | | | | | | | | |
% 174.99/26.83 | | | | | | | | | | | | | | | | | | REDUCE: (475), (12986) imply:
% 174.99/26.83 | | | | | | | | | | | | | | | | | | (12987) ~ (all_52_3 = e1)
% 174.99/26.83 | | | | | | | | | | | | | | | | | |
% 174.99/26.83 | | | | | | | | | | | | | | | | | | BETA: splitting (159) gives:
% 174.99/26.83 | | | | | | | | | | | | | | | | | |
% 174.99/26.83 | | | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.83 | | | | | | | | | | | | | | | | | | |
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | (12988) ~ (all_58_3 = e3)
% 174.99/26.83 | | | | | | | | | | | | | | | | | | |
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | REDUCE: (475), (12988) imply:
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | (12989) ~ (all_52_3 = e3)
% 174.99/26.83 | | | | | | | | | | | | | | | | | | |
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | BETA: splitting (158) gives:
% 174.99/26.83 | | | | | | | | | | | | | | | | | | |
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | (12990) ~ (all_58_3 = e2)
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | REDUCE: (475), (12990) imply:
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | (12991) ~ (all_52_3 = e2)
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (50), (148), (539), (765), (11622), (12959),
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | (12987), (12989), (12991) are inconsistent by
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | sub-proof #154.
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | (12992) all_58_1 = e0
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (481), (12992) imply:
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | (12993) all_52_1 = e0
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | SIMP: (12993) implies:
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | (12994) all_52_1 = e0
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | REDUCE: (731), (12994) imply:
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | (12995) op(e2, e0) = unit
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_22_1, unit, e0, e2,
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | simplifying with (12509), (12995) gives:
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | (12996) all_22_1 = unit
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | REDUCE: (12552), (12996) imply:
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | (12997) ~ (all_61_4 = unit)
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | REDUCE: (12948), (12996) imply:
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | (12998) ~ (unit = e1)
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | REDUCE: (12558), (12996) imply:
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | (12999) ~ (unit = e0)
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | REDUCE: (12847), (12996) imply:
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | (13000) op(e3, unit) = all_65_51
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | REDUCE: (12576), (12996) imply:
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | (13001) op(e0, e2) = unit
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | BETA: splitting (11697) gives:
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | | (13002) unit = e2
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | | REDUCE: (12997), (13002) imply:
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | | (13003) ~ (all_61_4 = e2)
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | | REDUCE: (7), (13002) imply:
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | | (13004) op(e2, e0) = e0
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | | REDUCE: (13000), (13002) imply:
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | | (13005) op(e3, e2) = all_65_51
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | | REDUCE: (13001), (13002) imply:
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | | (13006) op(e0, e2) = e2
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (270) gives:
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | | | (13007) all_63_1 = e3
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (488), (13007) imply:
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | | | (13008) all_61_4 = e3
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12797), (13008) imply:
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | | | (13009) ~ (all_40_1 = e3)
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | | | SIMP: (13009) implies:
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | | | (13010) ~ (all_40_1 = e3)
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12843), (13008) imply:
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | | | (13011) op(e3, e0) = all_65_51
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (263) gives:
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | | | | (13012) all_63_8 = e3
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12790), (13012) imply:
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | | | | (13013) all_40_1 = e3
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13010), (13013) imply:
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | | | | (13014) $false
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (13014) is inconsistent.
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | | | | (13015) all_63_8 = e2 | all_63_8 = e1 | all_63_8 = e0
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13015) gives:
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | | | | | (13016) all_63_8 = e2
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12790), (13016) imply:
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | | | | | (13017) all_40_1 = e2
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12792), (13017) imply:
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | | | | | (13018) ~ (all_61_1 = e2)
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12977), (13017) imply:
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | | | | | (13019) ~ (all_61_9 = e2)
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12824), (13017) imply:
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | | | | | (13020) ~ (all_61_12 = e2)
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12798), (13017) imply:
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | | | | | (13021) ~ (all_8_1 = e2)
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13021) implies:
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | | | | | (13022) ~ (all_8_1 = e2)
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12845), (13017) imply:
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | | | | | (13023) op(e2, e0) = all_65_65
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12754), (13017) imply:
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | | | | | (13024) op(e3, e1) = e2
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (257) gives:
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | (13025) all_63_14 = e3
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11645), (13025) imply:
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | (13026) all_8_1 = e3
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13026) implies:
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | (13027) all_8_1 = e3
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12976), (13027) imply:
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | (13028) all_42_1 = e3
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11653), (13027) imply:
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | (13029) ~ (all_61_12 = e3)
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11661), (13027) imply:
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | (13030) op(e3, e2) = all_65_67
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12953), (13027) imply:
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | (13031) op(e3, e1) = e1
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12846), (13027) imply:
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | (13032) op(e3, all_61_12) = e3
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (267) gives:
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | (13033) all_63_4 = e3
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (493), (13033) imply:
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | (13034) all_61_1 = e3
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (213), (13034) imply:
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | (13035) ~ (all_61_9 = e3)
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13035) implies:
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | (13036) ~ (all_61_9 = e3)
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12823), (13034) imply:
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | (13037) ~ (all_61_12 = e3)
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12842), (13034) imply:
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | (13038) op(e3, e0) = all_65_57
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (265) gives:
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13039) all_63_6 = e3
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (497), (13036), (13039) are inconsistent by
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #396.
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13040) ~ (all_63_6 = e3)
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13041) all_63_6 = e2 | all_63_6 = e1 | all_63_6 = e0
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11607) gives:
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13042) ~ (all_8_1 = e3)
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (260), (265), (497), (11613), (11646), (11652),
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11657), (13019), (13022), (13036), (13042) are
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #175.
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13043) ~ (all_8_0 = e2) & op(e3, e1) = all_8_0 &
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_0)
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13043) implies:
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13044) op(e3, e1) = all_8_0
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (259) gives:
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13045) all_63_12 = e3
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12822), (13029), (13045) are inconsistent by
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #189.
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13046) all_63_12 = e2 | all_63_12 = e1 | all_63_12 = e0
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13046) gives:
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13047) all_63_12 = e2
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12822), (13020), (13047) are inconsistent by
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #234.
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13048) all_63_12 = e1 | all_63_12 = e0
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13041) gives:
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13049) all_63_6 = e2
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (497), (13019), (13049) are inconsistent by
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #413.
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13050) all_63_6 = e1 | all_63_6 = e0
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13050) gives:
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13051) all_63_6 = e1
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (497), (13051) imply:
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13052) all_61_9 = e1
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13052) implies:
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13053) all_61_9 = e1
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12979), (13053) imply:
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13054) op(e1, e0) = all_65_67
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12945) gives:
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13055) ~ (all_42_1 = e3)
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13028), (13055) imply:
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13056) $false
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (13056) is inconsistent.
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13057) ~ (all_42_0 = e2) & op(e3, e0) = all_42_0 &
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_42_0)
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13057) implies:
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13058) op(e3, e0) = all_42_0
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13048) gives:
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13059) all_63_12 = e1
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12822), (12825), (13059) are inconsistent by
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #358.
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13060) all_63_12 = e0
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12822), (13060) imply:
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13061) all_61_12 = e0
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13061) implies:
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13062) all_61_12 = e0
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12825), (13062) imply:
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13063) ~ (e1 = e0)
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12827), (13062) imply:
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13064) op(e0, e2) = all_65_51
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13032), (13062) imply:
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13065) op(e3, e0) = e3
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12850), (13062) imply:
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13066) op(e1, e0) = all_65_65
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e2, all_65_51, e2, e0,
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (13006), (13064) gives:
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13067) all_65_51 = e2
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_67, all_65_65, e0,
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, simplifying with (13054), (13066) gives:
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13068) all_65_65 = all_65_67
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e0, all_65_65, e0, e2,
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (13004), (13023) gives:
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13069) all_65_65 = e0
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e3, all_65_57, e0, e3,
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (13038), (13065) gives:
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13070) all_65_57 = e3
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_57, all_65_51, e0,
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, simplifying with (13011), (13038) gives:
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13071) all_65_51 = all_65_57
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_42_0, all_65_51, e0,
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, simplifying with (13011), (13058) gives:
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13072) all_65_51 = all_42_0
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e2, all_8_0, e1, e3,
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (13024), (13044) gives:
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13073) all_8_0 = e2
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e1, all_8_0, e1, e3,
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (13031), (13044) gives:
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13074) all_8_0 = e1
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_67, all_65_51, e2,
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, simplifying with (13005), (13030) gives:
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13075) all_65_51 = all_65_67
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13067), (13072) imply:
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13076) all_42_0 = e2
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13071), (13072) imply:
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13077) all_65_57 = all_42_0
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13077) implies:
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13078) all_65_57 = all_42_0
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13072), (13075) imply:
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13079) all_65_67 = all_42_0
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13079) implies:
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13080) all_65_67 = all_42_0
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13070), (13078) imply:
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13081) all_42_0 = e3
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13081) implies:
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13082) all_42_0 = e3
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13068), (13069) imply:
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13083) all_65_67 = e0
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13083) implies:
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13084) all_65_67 = e0
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13080), (13084) imply:
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13085) all_42_0 = e0
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13085) implies:
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13086) all_42_0 = e0
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13076), (13082) imply:
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13087) e3 = e2
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13082), (13086) imply:
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13088) e3 = e0
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13073), (13074) imply:
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13089) e2 = e1
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13089) implies:
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13090) e2 = e1
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13087), (13088) imply:
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13091) e2 = e0
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (13090), (13091) are inconsistent by
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #360.
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13092) all_63_6 = e0
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (497), (11613), (13092) are inconsistent by
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #411.
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | (13093) all_63_4 = e2 | all_63_4 = e1 | all_63_4 = e0
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (215), (259), (493), (506), (12757), (12758),
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | (12822), (13018), (13020), (13029), (13093) are
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #179.
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | (13094) all_63_14 = e2 | all_63_14 = e1 | all_63_14 = e0
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11645), (11657), (12950), (13022), (13094) are
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #153.
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | (13095) all_63_8 = e1 | all_63_8 = e0
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12790), (12799), (12800), (13095) are
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #488.
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | (13096) all_63_1 = e2 | all_63_1 = e1 | all_63_1 = e0
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (488), (12514), (12759), (13003), (13096) are
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #485.
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | End of split
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | (13097) unit = e1 | unit = e0
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12998), (12999), (13097) are inconsistent by
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | sub-proof #419.
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | End of split
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | End of split
% 174.99/26.84 | | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.84 | | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | (13098) all_58_0 = e0
% 174.99/26.84 | | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (484), (13098) imply:
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | (13099) all_52_0 = e0
% 174.99/26.84 | | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | SIMP: (13099) implies:
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | (13100) all_52_0 = e0
% 174.99/26.84 | | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | REDUCE: (714), (13100) imply:
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | (13101) op(e3, e0) = unit
% 174.99/26.84 | | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (50), (235), (12800), (12980), (13101) are
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #282.
% 174.99/26.84 | | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | End of split
% 174.99/26.84 | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.84 | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | (13102) all_58_2 = e0
% 174.99/26.84 | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (478), (13102) imply:
% 174.99/26.84 | | | | | | | | | | | | | | | | | | (13103) all_52_2 = e0
% 174.99/26.84 | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | SIMP: (13103) implies:
% 174.99/26.84 | | | | | | | | | | | | | | | | | | (13104) all_52_2 = e0
% 174.99/26.84 | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | REDUCE: (748), (13104) imply:
% 174.99/26.84 | | | | | | | | | | | | | | | | | | (13105) op(e1, e0) = unit
% 174.99/26.84 | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_8_1, unit, e0, e1,
% 174.99/26.84 | | | | | | | | | | | | | | | | | | simplifying with (11606), (13105) gives:
% 174.99/26.84 | | | | | | | | | | | | | | | | | | (13106) all_8_1 = unit
% 174.99/26.84 | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | REDUCE: (11653), (13106) imply:
% 174.99/26.84 | | | | | | | | | | | | | | | | | | (13107) ~ (all_61_12 = unit)
% 174.99/26.84 | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | REDUCE: (12798), (13106) imply:
% 174.99/26.84 | | | | | | | | | | | | | | | | | | (13108) ~ (all_40_1 = unit)
% 174.99/26.84 | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | REDUCE: (12557), (13106) imply:
% 174.99/26.84 | | | | | | | | | | | | | | | | | | (13109) ~ (all_22_1 = unit)
% 174.99/26.84 | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | REDUCE: (12950), (13106) imply:
% 174.99/26.84 | | | | | | | | | | | | | | | | | | (13110) ~ (unit = e1)
% 174.99/26.84 | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | REDUCE: (11657), (13106) imply:
% 174.99/26.84 | | | | | | | | | | | | | | | | | | (13111) ~ (unit = e0)
% 174.99/26.84 | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | REDUCE: (12849), (13106) imply:
% 174.99/26.84 | | | | | | | | | | | | | | | | | | (13112) op(e3, unit) = all_65_65
% 174.99/26.84 | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | REDUCE: (12985), (13106) imply:
% 174.99/26.84 | | | | | | | | | | | | | | | | | | (13113) op(e2, unit) = all_65_67
% 174.99/26.84 | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | BETA: splitting (11697) gives:
% 174.99/26.84 | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.84 | | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | (13114) unit = e2
% 174.99/26.84 | | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | REDUCE: (13107), (13114) imply:
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | (13115) ~ (all_61_12 = e2)
% 174.99/26.84 | | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | REDUCE: (13108), (13114) imply:
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | (13116) ~ (all_40_1 = e2)
% 174.99/26.84 | | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | REDUCE: (13109), (13114) imply:
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | (13117) ~ (all_22_1 = e2)
% 174.99/26.84 | | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | REDUCE: (13112), (13114) imply:
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | (13118) op(e3, e2) = all_65_65
% 174.99/26.84 | | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | REDUCE: (6), (13114) imply:
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | (13119) op(e3, e2) = e3
% 174.99/26.84 | | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | REDUCE: (13113), (13114) imply:
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | (13120) op(e2, e2) = all_65_67
% 174.99/26.84 | | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | REDUCE: (5), (13114) imply:
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | (13121) op(e2, e2) = e2
% 174.99/26.84 | | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | BETA: splitting (269) gives:
% 174.99/26.84 | | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | (13122) all_63_2 = e3
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12791), (13122) imply:
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | (13123) all_40_1 = e3
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | REDUCE: (12792), (13123) imply:
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | (13124) ~ (all_61_1 = e3)
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | REDUCE: (12801), (13123) imply:
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | (13125) op(e3, e2) = all_65_33
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | REDUCE: (12806), (13123) imply:
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | (13126) op(e3, e1) = all_61_12
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | REDUCE: (12984), (13123) imply:
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | (13127) op(e2, e3) = all_65_36
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | BETA: splitting (267) gives:
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | (13128) all_63_4 = e3
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (493), (13128) imply:
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | (13129) all_61_1 = e3
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | REDUCE: (13124), (13129) imply:
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | (13130) $false
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | CLOSE: (13130) is inconsistent.
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | (13131) all_63_4 = e2 | all_63_4 = e1 | all_63_4 = e0
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (258) gives:
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | (13132) all_63_13 = e3
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12549), (13132) imply:
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | (13133) all_22_1 = e3
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12547), (13133) imply:
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | (13134) all_38_1 = e3
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12552), (13133) imply:
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | (13135) ~ (all_61_4 = e3)
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12555), (13133) imply:
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | (13136) ~ (all_61_12 = e3)
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12983), (13133) imply:
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | (13137) op(e3, e1) = all_65_67
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12955), (13133) imply:
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | (13138) op(e2, e3) = e1
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (268) gives:
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | (13139) all_63_3 = e3
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (491), (13136), (13139) are inconsistent by
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #361.
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | (13140) ~ (all_63_3 = e3)
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | (13141) all_63_3 = e2 | all_63_3 = e1 | all_63_3 = e0
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13141) gives:
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | (13142) all_63_3 = e2
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (491), (13115), (13142) are inconsistent by
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #492.
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | (13143) ~ (all_63_3 = e2)
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | (13144) all_63_3 = e1 | all_63_3 = e0
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13144) gives:
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | (13145) all_63_3 = e1
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (491), (12825), (13145) are inconsistent by
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #491.
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | (13146) all_63_3 = e0
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (491), (13146) imply:
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | (13147) all_61_12 = e0
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13147) implies:
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | (13148) all_61_12 = e0
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12825), (13148) imply:
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | (13149) ~ (e1 = e0)
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13126), (13148) imply:
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | (13150) op(e3, e1) = e0
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12529) gives:
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | (13151) ~ (all_38_1 = e3)
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13134), (13151) imply:
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | (13152) $false
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (13152) is inconsistent.
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | (13153) ~ (all_38_0 = e1) & op(e3, e2) = all_38_0 &
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_38_0)
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13153) implies:
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | (13154) op(e3, e2) = all_38_0
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13131) gives:
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13155) all_63_4 = e2
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (493), (13155) imply:
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13156) all_61_1 = e2
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (702), (13156) imply:
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13157) op(e3, e2) = all_65_4
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (270) gives:
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13158) all_63_1 = e3
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (488), (13158) imply:
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13159) all_61_4 = e3
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13135), (13159) imply:
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13160) $false
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (13160) is inconsistent.
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13161) all_63_1 = e2 | all_63_1 = e1 | all_63_1 = e0
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13161) gives:
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13162) all_63_1 = e2
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (488), (13162) imply:
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13163) all_61_4 = e2
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (638), (13163) imply:
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13164) op(e2, e3) = all_65_4
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (237), (13163) imply:
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13165) op(e3, e2) = e2
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (13163) imply:
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13166) op(e2, e2) = all_65_17
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_67, all_65_17, e2,
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, simplifying with (13120), (13166) gives:
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13167) all_65_17 = all_65_67
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e2, all_65_17, e2, e2,
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (13121), (13166) gives:
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13168) all_65_17 = e2
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e1, all_65_36, e3, e2,
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (13127), (13138) gives:
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13169) all_65_36 = e1
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_36, all_65_4, e3,
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, simplifying with (13127), (13164) gives:
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13170) all_65_4 = all_65_36
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e0, all_65_67, e1, e3,
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (13137), (13150) gives:
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13171) all_65_67 = e0
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e3, all_38_0, e2, e3,
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (13119), (13154) gives:
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13172) all_38_0 = e3
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e2, all_38_0, e2, e3,
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (13154), (13165) gives:
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13173) all_38_0 = e2
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_33, all_65_4, e2,
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, simplifying with (13125), (13157) gives:
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13174) all_65_4 = all_65_33
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_65, all_65_4, e2,
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, simplifying with (13118), (13157) gives:
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13175) all_65_4 = all_65_65
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_38_0, all_65_4, e2,
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, simplifying with (13154), (13157) gives:
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13176) all_65_4 = all_38_0
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13170), (13174) imply:
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13177) all_65_33 = all_65_36
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13174), (13175) imply:
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13178) all_65_33 = all_65_65
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13174), (13176) imply:
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13179) all_65_33 = all_38_0
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13167), (13168) imply:
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13180) all_65_67 = e2
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13180) implies:
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13181) all_65_67 = e2
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13177), (13178) imply:
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13182) all_65_36 = all_65_65
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13182) implies:
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13183) all_65_36 = all_65_65
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13178), (13179) imply:
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13184) all_65_65 = all_38_0
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13169), (13183) imply:
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13185) all_65_65 = e1
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13185) implies:
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13186) all_65_65 = e1
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13184), (13186) imply:
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13187) all_38_0 = e1
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13187) implies:
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13188) all_38_0 = e1
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13171), (13181) imply:
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13189) e2 = e0
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13172), (13188) imply:
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13190) e3 = e1
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13172), (13173) imply:
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13191) e3 = e2
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13190), (13191) imply:
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13192) e2 = e1
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (13189), (13192) are inconsistent by
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #397.
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13193) all_63_1 = e1 | all_63_1 = e0
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (488), (12514), (12759), (13193) are inconsistent
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #486.
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13194) all_63_4 = e1 | all_63_4 = e0
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (215), (259), (493), (506), (12757), (12758),
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12822), (13115), (13136), (13194) are
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #180.
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.99/26.84 | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | | (13195) all_63_13 = e2 | all_63_13 = e1 | all_63_13 = e0
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12549), (12558), (12948), (13117), (13195) are
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #415.
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | End of split
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | End of split
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | (13196) ~ (all_63_2 = e3)
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | REDUCE: (12791), (13196) imply:
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | (13197) ~ (all_40_1 = e3)
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (263), (12790), (12799), (12800), (13116), (13197)
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #432.
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | End of split
% 174.99/26.85 | | | | | | | | | | | | | | | | | | |
% 174.99/26.85 | | | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.85 | | | | | | | | | | | | | | | | | | |
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | (13198) unit = e1 | unit = e0
% 174.99/26.85 | | | | | | | | | | | | | | | | | | |
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13110), (13111), (13198) are inconsistent by
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | sub-proof #419.
% 174.99/26.85 | | | | | | | | | | | | | | | | | | |
% 174.99/26.85 | | | | | | | | | | | | | | | | | | End of split
% 174.99/26.85 | | | | | | | | | | | | | | | | | |
% 174.99/26.85 | | | | | | | | | | | | | | | | | End of split
% 174.99/26.85 | | | | | | | | | | | | | | | | |
% 174.99/26.85 | | | | | | | | | | | | | | | | End of split
% 174.99/26.85 | | | | | | | | | | | | | | | |
% 174.99/26.85 | | | | | | | | | | | | | | | End of split
% 174.99/26.85 | | | | | | | | | | | | | | |
% 174.99/26.85 | | | | | | | | | | | | | | End of split
% 174.99/26.85 | | | | | | | | | | | | | |
% 174.99/26.85 | | | | | | | | | | | | | End of split
% 174.99/26.85 | | | | | | | | | | | | |
% 174.99/26.85 | | | | | | | | | | | | Case 2:
% 174.99/26.85 | | | | | | | | | | | | |
% 174.99/26.85 | | | | | | | | | | | | | (13199) all_36_2 = e0
% 174.99/26.85 | | | | | | | | | | | | | (13200) op(e3, e0) = all_36_1 & $i(all_36_1) & ( ~
% 174.99/26.85 | | | | | | | | | | | | | (all_36_1 = e2) | ( ~ (all_36_0 = e1) & op(e2,
% 174.99/26.85 | | | | | | | | | | | | | e3) = all_36_0 & $i(all_36_0)))
% 174.99/26.85 | | | | | | | | | | | | |
% 174.99/26.85 | | | | | | | | | | | | | ALPHA: (13200) implies:
% 174.99/26.85 | | | | | | | | | | | | | (13201) op(e3, e0) = all_36_1
% 174.99/26.85 | | | | | | | | | | | | |
% 174.99/26.85 | | | | | | | | | | | | | COMBINE_EQS: (557), (13199) imply:
% 174.99/26.85 | | | | | | | | | | | | | (13202) all_14_2 = e0
% 174.99/26.85 | | | | | | | | | | | | |
% 174.99/26.85 | | | | | | | | | | | | | SIMP: (13202) implies:
% 174.99/26.85 | | | | | | | | | | | | | (13203) all_14_2 = e0
% 174.99/26.85 | | | | | | | | | | | | |
% 174.99/26.85 | | | | | | | | | | | | | COMBINE_EQS: (549), (13203) imply:
% 174.99/26.85 | | | | | | | | | | | | | (13204) all_44_2 = e0
% 174.99/26.85 | | | | | | | | | | | | |
% 174.99/26.85 | | | | | | | | | | | | | REDUCE: (603), (13203) imply:
% 174.99/26.85 | | | | | | | | | | | | | (13205) ~ (all_61_12 = e0)
% 174.99/26.85 | | | | | | | | | | | | |
% 174.99/26.85 | | | | | | | | | | | | | REDUCE: (634), (13203) imply:
% 174.99/26.85 | | | | | | | | | | | | | (13206) op(e0, e3) = all_65_0
% 174.99/26.85 | | | | | | | | | | | | |
% 174.99/26.85 | | | | | | | | | | | | | REDUCE: (637), (13203) imply:
% 174.99/26.85 | | | | | | | | | | | | | (13207) op(e0, e0) = all_65_3
% 174.99/26.85 | | | | | | | | | | | | |
% 174.99/26.85 | | | | | | | | | | | | | REDUCE: (698), (13203) imply:
% 174.99/26.85 | | | | | | | | | | | | | (13208) op(e3, e0) = all_65_0
% 174.99/26.85 | | | | | | | | | | | | |
% 174.99/26.85 | | | | | | | | | | | | | REDUCE: (67), (13203) imply:
% 174.99/26.85 | | | | | | | | | | | | | (13209) op(e3, e3) = e0
% 174.99/26.85 | | | | | | | | | | | | |
% 174.99/26.85 | | | | | | | | | | | | | REDUCE: (732), (13203) imply:
% 174.99/26.85 | | | | | | | | | | | | | (13210) op(e1, e0) = all_65_32
% 174.99/26.85 | | | | | | | | | | | | |
% 174.99/26.85 | | | | | | | | | | | | | REDUCE: (749), (13203) imply:
% 174.99/26.85 | | | | | | | | | | | | | (13211) op(e0, e0) = all_65_49
% 174.99/26.85 | | | | | | | | | | | | |
% 174.99/26.85 | | | | | | | | | | | | | BETA: splitting (113) gives:
% 174.99/26.85 | | | | | | | | | | | | |
% 174.99/26.85 | | | | | | | | | | | | | Case 1:
% 174.99/26.85 | | | | | | | | | | | | | |
% 174.99/26.85 | | | | | | | | | | | | | | (13212) ~ (all_44_2 = e0)
% 174.99/26.85 | | | | | | | | | | | | | |
% 174.99/26.85 | | | | | | | | | | | | | | REDUCE: (13204), (13212) imply:
% 174.99/26.85 | | | | | | | | | | | | | | (13213) $false
% 174.99/26.85 | | | | | | | | | | | | | |
% 174.99/26.85 | | | | | | | | | | | | | | CLOSE: (13213) is inconsistent.
% 174.99/26.85 | | | | | | | | | | | | | |
% 174.99/26.85 | | | | | | | | | | | | | Case 2:
% 174.99/26.85 | | | | | | | | | | | | | |
% 174.99/26.85 | | | | | | | | | | | | | | (13214) op(e3, e0) = all_44_1 & $i(all_44_1) & ( ~
% 174.99/26.85 | | | | | | | | | | | | | | (all_44_1 = e1) | ( ~ (all_44_0 = e2) & op(e1,
% 174.99/26.85 | | | | | | | | | | | | | | e3) = all_44_0 & $i(all_44_0)))
% 174.99/26.85 | | | | | | | | | | | | | |
% 174.99/26.85 | | | | | | | | | | | | | | ALPHA: (13214) implies:
% 174.99/26.85 | | | | | | | | | | | | | | (13215) op(e3, e0) = all_44_1
% 174.99/26.85 | | | | | | | | | | | | | |
% 174.99/26.85 | | | | | | | | | | | | | | BETA: splitting (170) gives:
% 174.99/26.85 | | | | | | | | | | | | | |
% 174.99/26.85 | | | | | | | | | | | | | | Case 1:
% 174.99/26.85 | | | | | | | | | | | | | | |
% 174.99/26.85 | | | | | | | | | | | | | | | (13216) ( ~ (all_60_0 = e0) & op(e3, e3) = all_60_0 &
% 174.99/26.85 | | | | | | | | | | | | | | | $i(all_60_0)) | ( ~ (all_60_1 = e0) & op(e2, e2)
% 174.99/26.85 | | | | | | | | | | | | | | | = all_60_1 & $i(all_60_1))
% 174.99/26.85 | | | | | | | | | | | | | | |
% 174.99/26.85 | | | | | | | | | | | | | | | REF_CLOSE: (50), (12522), (13209), (13216) are inconsistent
% 174.99/26.85 | | | | | | | | | | | | | | | by sub-proof #151.
% 174.99/26.85 | | | | | | | | | | | | | | |
% 174.99/26.85 | | | | | | | | | | | | | | Case 2:
% 174.99/26.85 | | | | | | | | | | | | | | |
% 174.99/26.85 | | | | | | | | | | | | | | | (13217) ( ~ (all_60_2 = e0) & op(e1, e1) = all_60_2 &
% 174.99/26.85 | | | | | | | | | | | | | | | $i(all_60_2)) | ( ~ (all_60_3 = e0) & op(e0, e0)
% 174.99/26.85 | | | | | | | | | | | | | | | = all_60_3 & $i(all_60_3))
% 174.99/26.85 | | | | | | | | | | | | | | |
% 174.99/26.85 | | | | | | | | | | | | | | | BETA: splitting (13217) gives:
% 174.99/26.85 | | | | | | | | | | | | | | |
% 174.99/26.85 | | | | | | | | | | | | | | | Case 1:
% 174.99/26.85 | | | | | | | | | | | | | | | |
% 174.99/26.85 | | | | | | | | | | | | | | | | (13218) ~ (all_60_2 = e0) & op(e1, e1) = all_60_2 &
% 174.99/26.85 | | | | | | | | | | | | | | | | $i(all_60_2)
% 174.99/26.85 | | | | | | | | | | | | | | | |
% 174.99/26.85 | | | | | | | | | | | | | | | | REF_CLOSE: (50), (11622), (13218) are inconsistent by
% 174.99/26.85 | | | | | | | | | | | | | | | | sub-proof #157.
% 174.99/26.85 | | | | | | | | | | | | | | | |
% 174.99/26.85 | | | | | | | | | | | | | | | Case 2:
% 174.99/26.85 | | | | | | | | | | | | | | | |
% 174.99/26.85 | | | | | | | | | | | | | | | | (13219) ~ (all_60_3 = e0) & op(e0, e0) = all_60_3 &
% 174.99/26.85 | | | | | | | | | | | | | | | | $i(all_60_3)
% 174.99/26.85 | | | | | | | | | | | | | | | |
% 174.99/26.85 | | | | | | | | | | | | | | | | ALPHA: (13219) implies:
% 174.99/26.85 | | | | | | | | | | | | | | | | (13220) ~ (all_60_3 = e0)
% 174.99/26.85 | | | | | | | | | | | | | | | | (13221) op(e0, e0) = all_60_3
% 174.99/26.85 | | | | | | | | | | | | | | | |
% 174.99/26.85 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_60_3, all_65_49, e0,
% 174.99/26.85 | | | | | | | | | | | | | | | | e0, simplifying with (13211), (13221) gives:
% 174.99/26.85 | | | | | | | | | | | | | | | | (13222) all_65_49 = all_60_3
% 174.99/26.85 | | | | | | | | | | | | | | | |
% 174.99/26.85 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_20_2, all_65_3, e0,
% 174.99/26.85 | | | | | | | | | | | | | | | | e0, simplifying with (76), (13207) gives:
% 174.99/26.85 | | | | | | | | | | | | | | | | (13223) all_65_3 = all_20_2
% 174.99/26.85 | | | | | | | | | | | | | | | |
% 174.99/26.85 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_49, all_65_3, e0,
% 174.99/26.85 | | | | | | | | | | | | | | | | e0, simplifying with (13207), (13211) gives:
% 174.99/26.85 | | | | | | | | | | | | | | | | (13224) all_65_3 = all_65_49
% 174.99/26.85 | | | | | | | | | | | | | | | |
% 174.99/26.85 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_3, all_65_0, e3,
% 174.99/26.85 | | | | | | | | | | | | | | | | e0, simplifying with (226), (13206) gives:
% 174.99/26.85 | | | | | | | | | | | | | | | | (13225) all_65_0 = all_61_3
% 174.99/26.85 | | | | | | | | | | | | | | | |
% 174.99/26.85 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_8_1, all_65_32, e0,
% 174.99/26.85 | | | | | | | | | | | | | | | | e1, simplifying with (11606), (13210) gives:
% 174.99/26.85 | | | | | | | | | | | | | | | | (13226) all_65_32 = all_8_1
% 174.99/26.85 | | | | | | | | | | | | | | | |
% 174.99/26.85 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_12, all_44_1, e0,
% 174.99/26.85 | | | | | | | | | | | | | | | | e3, simplifying with (235), (13215) gives:
% 174.99/26.85 | | | | | | | | | | | | | | | | (13227) all_61_12 = all_44_1
% 174.99/26.85 | | | | | | | | | | | | | | | |
% 174.99/26.85 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_12, all_65_0, e0,
% 174.99/26.85 | | | | | | | | | | | | | | | | e3, simplifying with (235), (13208) gives:
% 174.99/26.85 | | | | | | | | | | | | | | | | (13228) all_65_0 = all_61_12
% 174.99/26.85 | | | | | | | | | | | | | | | |
% 174.99/26.85 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_36_1, all_65_0, e0,
% 174.99/26.85 | | | | | | | | | | | | | | | | e3, simplifying with (13201), (13208) gives:
% 174.99/26.85 | | | | | | | | | | | | | | | | (13229) all_65_0 = all_36_1
% 174.99/26.85 | | | | | | | | | | | | | | | |
% 174.99/26.85 | | | | | | | | | | | | | | | | COMBINE_EQS: (13228), (13229) imply:
% 174.99/26.85 | | | | | | | | | | | | | | | | (13230) all_61_12 = all_36_1
% 174.99/26.85 | | | | | | | | | | | | | | | |
% 174.99/26.85 | | | | | | | | | | | | | | | | SIMP: (13230) implies:
% 174.99/26.85 | | | | | | | | | | | | | | | | (13231) all_61_12 = all_36_1
% 174.99/26.85 | | | | | | | | | | | | | | | |
% 174.99/26.85 | | | | | | | | | | | | | | | | COMBINE_EQS: (13225), (13229) imply:
% 174.99/26.85 | | | | | | | | | | | | | | | | (13232) all_61_3 = all_36_1
% 174.99/26.85 | | | | | | | | | | | | | | | |
% 174.99/26.85 | | | | | | | | | | | | | | | | SIMP: (13232) implies:
% 174.99/26.85 | | | | | | | | | | | | | | | | (13233) all_61_3 = all_36_1
% 174.99/26.85 | | | | | | | | | | | | | | | |
% 174.99/26.85 | | | | | | | | | | | | | | | | COMBINE_EQS: (13223), (13224) imply:
% 174.99/26.85 | | | | | | | | | | | | | | | | (13234) all_65_49 = all_20_2
% 174.99/26.85 | | | | | | | | | | | | | | | |
% 174.99/26.85 | | | | | | | | | | | | | | | | SIMP: (13234) implies:
% 174.99/26.85 | | | | | | | | | | | | | | | | (13235) all_65_49 = all_20_2
% 174.99/26.85 | | | | | | | | | | | | | | | |
% 174.99/26.85 | | | | | | | | | | | | | | | | COMBINE_EQS: (13222), (13235) imply:
% 174.99/26.85 | | | | | | | | | | | | | | | | (13236) all_60_3 = all_20_2
% 174.99/26.85 | | | | | | | | | | | | | | | |
% 174.99/26.85 | | | | | | | | | | | | | | | | SIMP: (13236) implies:
% 174.99/26.85 | | | | | | | | | | | | | | | | (13237) all_60_3 = all_20_2
% 174.99/26.85 | | | | | | | | | | | | | | | |
% 174.99/26.85 | | | | | | | | | | | | | | | | COMBINE_EQS: (13227), (13231) imply:
% 174.99/26.85 | | | | | | | | | | | | | | | | (13238) all_44_1 = all_36_1
% 174.99/26.85 | | | | | | | | | | | | | | | |
% 174.99/26.85 | | | | | | | | | | | | | | | | COMBINE_EQS: (491), (13231) imply:
% 174.99/26.85 | | | | | | | | | | | | | | | | (13239) all_63_3 = all_36_1
% 174.99/26.85 | | | | | | | | | | | | | | | |
% 174.99/26.85 | | | | | | | | | | | | | | | | REDUCE: (12555), (13231) imply:
% 174.99/26.85 | | | | | | | | | | | | | | | | (13240) ~ (all_36_1 = all_22_1)
% 174.99/26.85 | | | | | | | | | | | | | | | |
% 174.99/26.85 | | | | | | | | | | | | | | | | REDUCE: (625), (13231) imply:
% 174.99/26.85 | | | | | | | | | | | | | | | | (13241) ~ (all_36_1 = all_20_2)
% 174.99/26.85 | | | | | | | | | | | | | | | |
% 174.99/26.85 | | | | | | | | | | | | | | | | REDUCE: (11653), (13231) imply:
% 174.99/26.85 | | | | | | | | | | | | | | | | (13242) ~ (all_36_1 = all_8_1)
% 174.99/26.85 | | | | | | | | | | | | | | | |
% 174.99/26.85 | | | | | | | | | | | | | | | | REDUCE: (13205), (13231) imply:
% 174.99/26.85 | | | | | | | | | | | | | | | | (13243) ~ (all_36_1 = e0)
% 174.99/26.85 | | | | | | | | | | | | | | | |
% 174.99/26.85 | | | | | | | | | | | | | | | | REDUCE: (13220), (13237) imply:
% 174.99/26.85 | | | | | | | | | | | | | | | | (13244) ~ (all_20_2 = e0)
% 174.99/26.85 | | | | | | | | | | | | | | | |
% 174.99/26.85 | | | | | | | | | | | | | | | | REDUCE: (685), (13233) imply:
% 174.99/26.85 | | | | | | | | | | | | | | | | (13245) op(all_36_1, e0) = all_65_55
% 174.99/26.85 | | | | | | | | | | | | | | | |
% 174.99/26.85 | | | | | | | | | | | | | | | | REDUCE: (11658), (13231) imply:
% 174.99/26.85 | | | | | | | | | | | | | | | | (13246) op(all_61_8, e1) = all_36_1
% 174.99/26.85 | | | | | | | | | | | | | | | |
% 174.99/26.85 | | | | | | | | | | | | | | | | REDUCE: (649), (13231) imply:
% 174.99/26.85 | | | | | | | | | | | | | | | | (13247) op(all_36_1, e0) = all_65_15
% 174.99/26.85 | | | | | | | | | | | | | | | |
% 174.99/26.85 | | | | | | | | | | | | | | | | REDUCE: (761), (13233) imply:
% 174.99/26.85 | | | | | | | | | | | | | | | | (13248) op(e0, all_36_1) = all_65_73
% 174.99/26.85 | | | | | | | | | | | | | | | |
% 174.99/26.85 | | | | | | | | | | | | | | | | REDUCE: (752), (13231) imply:
% 174.99/26.85 | | | | | | | | | | | | | | | | (13249) op(e0, all_36_1) = all_65_55
% 174.99/26.85 | | | | | | | | | | | | | | | |
% 174.99/26.85 | | | | | | | | | | | | | | | | BETA: splitting (256) gives:
% 174.99/26.85 | | | | | | | | | | | | | | | |
% 174.99/26.85 | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.85 | | | | | | | | | | | | | | | | |
% 174.99/26.85 | | | | | | | | | | | | | | | | | (13250) all_63_15 = e3
% 174.99/26.85 | | | | | | | | | | | | | | | | |
% 174.99/26.85 | | | | | | | | | | | | | | | | | REF_CLOSE: (422), (12593), (13250) are inconsistent by
% 174.99/26.85 | | | | | | | | | | | | | | | | | sub-proof #501.
% 174.99/26.85 | | | | | | | | | | | | | | | | |
% 174.99/26.85 | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.85 | | | | | | | | | | | | | | | | |
% 174.99/26.85 | | | | | | | | | | | | | | | | | (13251) all_63_15 = e2 | all_63_15 = e1 | all_63_15 = e0
% 174.99/26.85 | | | | | | | | | | | | | | | | |
% 174.99/26.85 | | | | | | | | | | | | | | | | | BETA: splitting (13251) gives:
% 174.99/26.85 | | | | | | | | | | | | | | | | |
% 174.99/26.85 | | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.85 | | | | | | | | | | | | | | | | | |
% 174.99/26.85 | | | | | | | | | | | | | | | | | | (13252) all_63_15 = e2
% 174.99/26.85 | | | | | | | | | | | | | | | | | |
% 174.99/26.85 | | | | | | | | | | | | | | | | | | REF_CLOSE: (422), (11701), (13252) are inconsistent by
% 174.99/26.85 | | | | | | | | | | | | | | | | | | sub-proof #500.
% 174.99/26.85 | | | | | | | | | | | | | | | | | |
% 174.99/26.85 | | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.85 | | | | | | | | | | | | | | | | | |
% 174.99/26.85 | | | | | | | | | | | | | | | | | | (13253) all_63_15 = e1 | all_63_15 = e0
% 174.99/26.85 | | | | | | | | | | | | | | | | | |
% 174.99/26.85 | | | | | | | | | | | | | | | | | | BETA: splitting (13253) gives:
% 174.99/26.85 | | | | | | | | | | | | | | | | | |
% 174.99/26.85 | | | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.85 | | | | | | | | | | | | | | | | | | |
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | (13254) all_63_15 = e1
% 174.99/26.85 | | | | | | | | | | | | | | | | | | |
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (422), (13254) imply:
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | (13255) all_20_2 = e1
% 174.99/26.85 | | | | | | | | | | | | | | | | | | |
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | SIMP: (13255) implies:
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | (13256) all_20_2 = e1
% 174.99/26.85 | | | | | | | | | | | | | | | | | | |
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (532), (13256) imply:
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | (13257) all_42_2 = e1
% 174.99/26.85 | | | | | | | | | | | | | | | | | | |
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (582), (13256) imply:
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | (13258) all_50_2 = e1
% 174.99/26.85 | | | | | | | | | | | | | | | | | | |
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | REDUCE: (13241), (13256) imply:
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | (13259) ~ (all_36_1 = e1)
% 174.99/26.85 | | | | | | | | | | | | | | | | | | |
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | REDUCE: (12556), (13256) imply:
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | (13260) ~ (all_22_1 = e1)
% 174.99/26.85 | | | | | | | | | | | | | | | | | | |
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | REDUCE: (11656), (13256) imply:
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | (13261) ~ (all_8_1 = e1)
% 174.99/26.85 | | | | | | | | | | | | | | | | | | |
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | SIMP: (13261) implies:
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | (13262) ~ (all_8_1 = e1)
% 174.99/26.85 | | | | | | | | | | | | | | | | | | |
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | REDUCE: (694), (13256) imply:
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | (13263) op(e1, e3) = all_65_73
% 174.99/26.85 | | | | | | | | | | | | | | | | | | |
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | REDUCE: (697), (13256) imply:
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | (13264) op(e1, e0) = all_65_78
% 174.99/26.85 | | | | | | | | | | | | | | | | | | |
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | REDUCE: (713), (13256) imply:
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | (13265) op(e3, e1) = all_65_15
% 174.99/26.85 | | | | | | | | | | | | | | | | | | |
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | REDUCE: (11689), (13256) imply:
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | (13266) op(e1, e1) = all_65_77
% 174.99/26.85 | | | | | | | | | | | | | | | | | | |
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | REDUCE: (764), (13256) imply:
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | (13267) op(e0, e1) = all_65_78
% 174.99/26.85 | | | | | | | | | | | | | | | | | | |
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | REDUCE: (76), (13256) imply:
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | (13268) op(e0, e0) = e1
% 174.99/26.85 | | | | | | | | | | | | | | | | | | |
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | BETA: splitting (110) gives:
% 174.99/26.85 | | | | | | | | | | | | | | | | | | |
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | (13269) ~ (all_42_2 = e1)
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | REDUCE: (13257), (13269) imply:
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | (13270) $false
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | CLOSE: (13270) is inconsistent.
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | (13271) op(e0, e1) = all_42_1 & $i(all_42_1) & ( ~
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | (all_42_1 = e3) | ( ~ (all_42_0 = e2) & op(e3,
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | e0) = all_42_0 & $i(all_42_0)))
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | ALPHA: (13271) implies:
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | (13272) op(e0, e1) = all_42_1
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | (13273) ~ (all_42_1 = e3) | ( ~ (all_42_0 = e2) & op(e3,
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | e0) = all_42_0 & $i(all_42_0))
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | BETA: splitting (122) gives:
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | (13274) ~ (all_50_2 = e1)
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | REDUCE: (13258), (13274) imply:
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | (13275) $false
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | CLOSE: (13275) is inconsistent.
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | (13276) op(e0, e1) = all_50_1 & $i(all_50_1) & ( ~
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | (all_50_1 = e2) | ( ~ (all_50_0 = e3) & op(e2,
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | e0) = all_50_0 & $i(all_50_0)))
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | ALPHA: (13276) implies:
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | (13277) op(e0, e1) = all_50_1
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_50_1, all_65_78, e1,
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | e0, simplifying with (13267), (13277) gives:
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | (13278) all_65_78 = all_50_1
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_42_1, all_65_78, e1,
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | e0, simplifying with (13267), (13272) gives:
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | (13279) all_65_78 = all_42_1
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_73, all_65_55,
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | all_36_1, e0, simplifying with (13248), (13249)
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | gives:
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | (13280) all_65_55 = all_65_73
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_8_1, all_65_78, e0,
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | e1, simplifying with (11606), (13264) gives:
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | (13281) all_65_78 = all_8_1
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e0, all_65_77, e1, e1,
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | simplifying with (11622), (13266) gives:
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | (13282) all_65_77 = e0
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_2, all_65_73, e3,
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | e1, simplifying with (230), (13263) gives:
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | (13283) all_65_73 = all_61_2
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_8, all_65_15, e1,
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | e3, simplifying with (236), (13265) gives:
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | (13284) all_65_15 = all_61_8
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_55, all_65_15, e0,
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | all_36_1, simplifying with (13245), (13247) gives:
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | (13285) all_65_15 = all_65_55
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13284), (13285) imply:
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | (13286) all_65_55 = all_61_8
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13280), (13286) imply:
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | (13287) all_65_73 = all_61_8
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13283), (13287) imply:
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | (13288) all_61_2 = all_61_8
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13278), (13279) imply:
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | (13289) all_50_1 = all_42_1
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13278), (13281) imply:
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | (13290) all_50_1 = all_8_1
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13289), (13290) imply:
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | (13291) all_42_1 = all_8_1
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | REDUCE: (668), (13288) imply:
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | (13292) op(all_61_8, e1) = all_65_34
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_36_1, all_65_34, e1,
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | all_61_8, simplifying with (13246), (13292) gives:
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | (13293) all_65_34 = all_36_1
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (157) gives:
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | | (13294) ~ (all_58_3 = e1)
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (475), (13294) imply:
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | | (13295) ~ (all_52_3 = e1)
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (167) gives:
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | | | (13296) ~ (all_58_0 = e1)
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (484), (13296) imply:
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | | | (13297) ~ (all_52_0 = e1)
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (159) gives:
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | | | | (13298) ~ (all_58_3 = e3)
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (475), (13298) imply:
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | | | | (13299) ~ (all_52_3 = e3)
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (166) gives:
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | (13300) ~ (all_58_0 = e0)
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (484), (13300) imply:
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | (13301) ~ (all_52_0 = e0)
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (168) gives:
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | (13302) ~ (all_58_0 = e2)
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (484), (13302) imply:
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | (13303) ~ (all_52_0 = e2)
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (151) gives:
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13304) all_56_0 = e3
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (534), (13304) imply:
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13305) all_52_0 = e3
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13305) implies:
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13306) all_52_0 = e3
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (714), (13306) imply:
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13307) op(e3, e3) = unit
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e0, unit, e3, e3,
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (13209), (13307) gives:
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13308) unit = e0
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (18), (50), (13268), (13308) are inconsistent
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #265.
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13309) all_56_0 = e2 | all_56_0 = e1 | all_56_0 = e0
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (534), (13297), (13301), (13303), (13309) are
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #512.
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | (13310) all_58_1 = e3
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | (13311) all_58_0 = e2
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (484), (13311) imply:
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | (13312) all_52_0 = e2
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13312) implies:
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | (13313) all_52_0 = e2
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (481), (13310) imply:
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | (13314) all_52_1 = e3
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13314) implies:
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | (13315) all_52_1 = e3
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (630), (13313) imply:
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | (13316) ~ (all_52_3 = e2)
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13316) implies:
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | (13317) ~ (all_52_3 = e2)
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (632), (13315) imply:
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | (13318) ~ (all_52_3 = e3)
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (50), (148), (539), (765), (11622), (13268),
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | (13295), (13299), (13317) are inconsistent by
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #154.
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | (13319) all_58_3 = e3
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (475), (13299), (13319) are inconsistent by
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #509.
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | | | | (13320) all_58_0 = e0
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (484), (13320) imply:
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | | | | (13321) all_52_0 = e0
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13321) implies:
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | | | | (13322) all_52_0 = e0
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (714), (13322) imply:
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | | | | (13323) op(e3, e0) = unit
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_36_1, unit, e0, e3,
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (13201), (13323) gives:
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | | | | (13324) all_36_1 = unit
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13240), (13324) imply:
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | | | | (13325) ~ (all_22_1 = unit)
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13325) implies:
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | | | | (13326) ~ (all_22_1 = unit)
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13242), (13324) imply:
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | | | | (13327) ~ (all_8_1 = unit)
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13327) implies:
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | | | | (13328) ~ (all_8_1 = unit)
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13259), (13324) imply:
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | | | | (13329) ~ (unit = e1)
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13243), (13324) imply:
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | | | | (13330) ~ (unit = e0)
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11697) gives:
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | (13331) unit = e2
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13326), (13331) imply:
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | (13332) ~ (all_22_1 = e2)
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13328), (13331) imply:
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | (13333) ~ (all_8_1 = e2)
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13273) gives:
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | (13334) ~ (all_42_1 = e3)
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13291), (13334) imply:
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | (13335) ~ (all_8_1 = e3)
% 174.99/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.86 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (257), (11645), (11657), (13262), (13333), (13335)
% 174.99/26.86 | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #150.
% 174.99/26.86 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.86 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.86 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.86 | | | | | | | | | | | | | | | | | | | | | | | | | | (13336) all_42_1 = e3
% 174.99/26.86 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.86 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13291), (13336) imply:
% 174.99/26.86 | | | | | | | | | | | | | | | | | | | | | | | | | | (13337) all_8_1 = e3
% 174.99/26.86 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.86 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13337) implies:
% 174.99/26.86 | | | | | | | | | | | | | | | | | | | | | | | | | | (13338) all_8_1 = e3
% 174.99/26.86 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.86 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12557), (13338) imply:
% 174.99/26.86 | | | | | | | | | | | | | | | | | | | | | | | | | | (13339) ~ (all_22_1 = e3)
% 174.99/26.86 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.86 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (258), (12549), (12558), (13260), (13332), (13339)
% 174.99/26.86 | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #414.
% 174.99/26.86 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.86 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.99/26.86 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.86 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.86 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.86 | | | | | | | | | | | | | | | | | | | | | | | | | (13340) unit = e1 | unit = e0
% 174.99/26.86 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.86 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13329), (13330), (13340) are inconsistent by
% 174.99/26.86 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #419.
% 174.99/26.86 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.86 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.99/26.86 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.86 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.99/26.86 | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.86 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.86 | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.86 | | | | | | | | | | | | | | | | | | | | | | | (13341) all_58_0 = e1
% 174.99/26.86 | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.86 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (50), (236), (484), (714), (13246), (13259),
% 174.99/26.86 | | | | | | | | | | | | | | | | | | | | | | | (13341) are inconsistent by sub-proof #149.
% 174.99/26.86 | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.86 | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.99/26.86 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.86 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.86 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.86 | | | | | | | | | | | | | | | | | | | | | | (13342) all_58_2 = e0
% 174.99/26.86 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.86 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (478), (13342) imply:
% 174.99/26.86 | | | | | | | | | | | | | | | | | | | | | | (13343) all_52_2 = e0
% 174.99/26.86 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.86 | | | | | | | | | | | | | | | | | | | | | | SIMP: (13343) implies:
% 174.99/26.86 | | | | | | | | | | | | | | | | | | | | | | (13344) all_52_2 = e0
% 174.99/26.86 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.86 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (748), (13344) imply:
% 174.99/26.86 | | | | | | | | | | | | | | | | | | | | | | (13345) op(e1, e0) = unit
% 174.99/26.86 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.86 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_8_1, unit, e0, e1,
% 174.99/26.86 | | | | | | | | | | | | | | | | | | | | | | simplifying with (11606), (13345) gives:
% 174.99/26.86 | | | | | | | | | | | | | | | | | | | | | | (13346) all_8_1 = unit
% 174.99/26.86 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.86 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13242), (13346) imply:
% 174.99/26.86 | | | | | | | | | | | | | | | | | | | | | | (13347) ~ (all_36_1 = unit)
% 174.99/26.86 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.86 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12557), (13346) imply:
% 174.99/26.86 | | | | | | | | | | | | | | | | | | | | | | (13348) ~ (all_22_1 = unit)
% 174.99/26.86 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.86 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13262), (13346) imply:
% 174.99/26.86 | | | | | | | | | | | | | | | | | | | | | | (13349) ~ (unit = e1)
% 174.99/26.86 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.86 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11657), (13346) imply:
% 174.99/26.86 | | | | | | | | | | | | | | | | | | | | | | (13350) ~ (unit = e0)
% 174.99/26.86 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.86 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11697) gives:
% 174.99/26.86 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.86 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.86 | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.86 | | | | | | | | | | | | | | | | | | | | | | | (13351) unit = e2
% 174.99/26.86 | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.86 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13347), (13351) imply:
% 174.99/26.86 | | | | | | | | | | | | | | | | | | | | | | | (13352) ~ (all_36_1 = e2)
% 174.99/26.86 | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.86 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13348), (13351) imply:
% 174.99/26.86 | | | | | | | | | | | | | | | | | | | | | | | (13353) ~ (all_22_1 = e2)
% 174.99/26.86 | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.86 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (258), (268), (12549), (12558), (13239), (13240),
% 174.99/26.86 | | | | | | | | | | | | | | | | | | | | | | | (13243), (13259), (13260), (13352), (13353) are
% 174.99/26.86 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #255.
% 174.99/26.86 | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.86 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.86 | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.86 | | | | | | | | | | | | | | | | | | | | | | | (13354) unit = e1 | unit = e0
% 174.99/26.86 | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.86 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13349), (13350), (13354) are inconsistent by
% 174.99/26.86 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #419.
% 174.99/26.86 | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.86 | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.99/26.86 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.86 | | | | | | | | | | | | | | | | | | | | | End of split
% 174.99/26.86 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.86 | | | | | | | | | | | | | | | | | | | | End of split
% 174.99/26.86 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.86 | | | | | | | | | | | | | | | | | | | End of split
% 174.99/26.86 | | | | | | | | | | | | | | | | | | |
% 174.99/26.86 | | | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.86 | | | | | | | | | | | | | | | | | | |
% 174.99/26.86 | | | | | | | | | | | | | | | | | | | (13355) all_63_15 = e0
% 174.99/26.86 | | | | | | | | | | | | | | | | | | |
% 174.99/26.86 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (422), (13244), (13355) are inconsistent by
% 174.99/26.86 | | | | | | | | | | | | | | | | | | | sub-proof #207.
% 174.99/26.86 | | | | | | | | | | | | | | | | | | |
% 174.99/26.86 | | | | | | | | | | | | | | | | | | End of split
% 174.99/26.86 | | | | | | | | | | | | | | | | | |
% 174.99/26.86 | | | | | | | | | | | | | | | | | End of split
% 174.99/26.86 | | | | | | | | | | | | | | | | |
% 174.99/26.86 | | | | | | | | | | | | | | | | End of split
% 174.99/26.86 | | | | | | | | | | | | | | | |
% 174.99/26.86 | | | | | | | | | | | | | | | End of split
% 174.99/26.86 | | | | | | | | | | | | | | |
% 174.99/26.86 | | | | | | | | | | | | | | End of split
% 174.99/26.86 | | | | | | | | | | | | | |
% 174.99/26.86 | | | | | | | | | | | | | End of split
% 174.99/26.86 | | | | | | | | | | | | |
% 174.99/26.86 | | | | | | | | | | | | End of split
% 174.99/26.86 | | | | | | | | | | | |
% 174.99/26.86 | | | | | | | | | | | Case 2:
% 174.99/26.86 | | | | | | | | | | | |
% 174.99/26.86 | | | | | | | | | | | | (13356) all_28_2 = e3
% 174.99/26.86 | | | | | | | | | | | |
% 174.99/26.86 | | | | | | | | | | | | COMBINE_EQS: (563), (13356) imply:
% 174.99/26.86 | | | | | | | | | | | | (13357) all_20_2 = e3
% 174.99/26.86 | | | | | | | | | | | |
% 174.99/26.86 | | | | | | | | | | | | SIMP: (13357) implies:
% 174.99/26.86 | | | | | | | | | | | | (13358) all_20_2 = e3
% 174.99/26.86 | | | | | | | | | | | |
% 174.99/26.86 | | | | | | | | | | | | REF_CLOSE: (3), (8), (9), (22), (50), (76), (148), (150),
% 174.99/26.86 | | | | | | | | | | | | (157), (158), (161), (163), (164), (165), (229),
% 174.99/26.86 | | | | | | | | | | | | (232), (475), (478), (481), (484), (536), (539),
% 174.99/26.86 | | | | | | | | | | | | (630), (632), (659), (672), (731), (748), (765),
% 174.99/26.86 | | | | | | | | | | | | (11606), (11613), (11652), (11662), (11696),
% 174.99/26.86 | | | | | | | | | | | | (11697), (11701), (12509), (12522), (12554),
% 174.99/26.86 | | | | | | | | | | | | (12559), (12561), (12564), (13358) are
% 174.99/26.86 | | | | | | | | | | | | inconsistent by sub-proof #147.
% 174.99/26.86 | | | | | | | | | | | |
% 174.99/26.86 | | | | | | | | | | | End of split
% 174.99/26.86 | | | | | | | | | | |
% 174.99/26.86 | | | | | | | | | | End of split
% 174.99/26.86 | | | | | | | | | |
% 174.99/26.86 | | | | | | | | | End of split
% 174.99/26.86 | | | | | | | | |
% 174.99/26.86 | | | | | | | | Case 2:
% 174.99/26.86 | | | | | | | | |
% 174.99/26.86 | | | | | | | | | (13359) all_20_2 = e2
% 174.99/26.86 | | | | | | | | | (13360) op(e0, e2) = all_20_1 & $i(all_20_1) & ( ~
% 174.99/26.86 | | | | | | | | | (all_20_1 = e1) | ( ~ (all_20_0 = e3) & op(e1,
% 174.99/26.86 | | | | | | | | | e0) = all_20_0 & $i(all_20_0)))
% 174.99/26.86 | | | | | | | | |
% 174.99/26.86 | | | | | | | | | ALPHA: (13360) implies:
% 174.99/26.86 | | | | | | | | | (13361) op(e0, e2) = all_20_1
% 174.99/26.86 | | | | | | | | |
% 174.99/26.86 | | | | | | | | | COMBINE_EQS: (581), (13359) imply:
% 174.99/26.86 | | | | | | | | | (13362) all_46_2 = e2
% 174.99/26.86 | | | | | | | | |
% 174.99/26.86 | | | | | | | | | REDUCE: (606), (13359) imply:
% 174.99/26.86 | | | | | | | | | (13363) ~ (all_61_3 = e2)
% 174.99/26.86 | | | | | | | | |
% 174.99/26.86 | | | | | | | | | REDUCE: (625), (13359) imply:
% 174.99/26.86 | | | | | | | | | (13364) ~ (all_61_12 = e2)
% 174.99/26.86 | | | | | | | | |
% 174.99/26.86 | | | | | | | | | REDUCE: (626), (13359) imply:
% 174.99/26.86 | | | | | | | | | (13365) ~ (all_61_13 = e2)
% 174.99/26.86 | | | | | | | | |
% 174.99/26.86 | | | | | | | | | REDUCE: (11656), (13359) imply:
% 174.99/26.86 | | | | | | | | | (13366) ~ (all_8_1 = e2)
% 174.99/26.86 | | | | | | | | |
% 174.99/26.86 | | | | | | | | | SIMP: (13366) implies:
% 174.99/26.86 | | | | | | | | | (13367) ~ (all_8_1 = e2)
% 174.99/26.86 | | | | | | | | |
% 174.99/26.86 | | | | | | | | | REDUCE: (694), (13359) imply:
% 174.99/26.86 | | | | | | | | | (13368) op(e2, e3) = all_65_73
% 174.99/26.86 | | | | | | | | |
% 174.99/26.86 | | | | | | | | | REDUCE: (695), (13359) imply:
% 174.99/26.86 | | | | | | | | | (13369) op(e2, e2) = all_65_75
% 174.99/26.86 | | | | | | | | |
% 174.99/26.86 | | | | | | | | | REDUCE: (696), (13359) imply:
% 174.99/26.86 | | | | | | | | | (13370) op(e2, e1) = all_65_77
% 174.99/26.86 | | | | | | | | |
% 174.99/26.86 | | | | | | | | | REDUCE: (697), (13359) imply:
% 174.99/26.86 | | | | | | | | | (13371) op(e2, e0) = all_65_78
% 174.99/26.86 | | | | | | | | |
% 174.99/26.86 | | | | | | | | | REDUCE: (713), (13359) imply:
% 174.99/26.86 | | | | | | | | | (13372) op(e3, e2) = all_65_15
% 174.99/26.86 | | | | | | | | |
% 174.99/26.86 | | | | | | | | | REDUCE: (730), (13359) imply:
% 174.99/26.86 | | | | | | | | | (13373) op(e2, e2) = all_65_31
% 174.99/26.86 | | | | | | | | |
% 174.99/26.86 | | | | | | | | | REDUCE: (11689), (13359) imply:
% 174.99/26.86 | | | | | | | | | (13374) op(e1, e2) = all_65_77
% 174.99/26.86 | | | | | | | | |
% 174.99/26.86 | | | | | | | | | REDUCE: (764), (13359) imply:
% 174.99/26.86 | | | | | | | | | (13375) op(e0, e2) = all_65_78
% 174.99/26.86 | | | | | | | | |
% 174.99/26.86 | | | | | | | | | REDUCE: (76), (13359) imply:
% 174.99/26.86 | | | | | | | | | (13376) op(e0, e0) = e2
% 174.99/26.86 | | | | | | | | |
% 174.99/26.86 | | | | | | | | | BETA: splitting (116) gives:
% 174.99/26.86 | | | | | | | | |
% 174.99/26.86 | | | | | | | | | Case 1:
% 174.99/26.86 | | | | | | | | | |
% 174.99/26.86 | | | | | | | | | | (13377) ~ (all_46_2 = e2)
% 174.99/26.86 | | | | | | | | | |
% 174.99/26.86 | | | | | | | | | | REDUCE: (13362), (13377) imply:
% 174.99/26.86 | | | | | | | | | | (13378) $false
% 174.99/26.86 | | | | | | | | | |
% 174.99/26.86 | | | | | | | | | | CLOSE: (13378) is inconsistent.
% 174.99/26.86 | | | | | | | | | |
% 174.99/26.86 | | | | | | | | | Case 2:
% 174.99/26.86 | | | | | | | | | |
% 174.99/26.86 | | | | | | | | | | (13379) op(e0, e2) = all_46_1 & $i(all_46_1) & ( ~
% 174.99/26.86 | | | | | | | | | | (all_46_1 = e3) | ( ~ (all_46_0 = e1) & op(e3,
% 174.99/26.86 | | | | | | | | | | e0) = all_46_0 & $i(all_46_0)))
% 174.99/26.86 | | | | | | | | | |
% 174.99/26.86 | | | | | | | | | | ALPHA: (13379) implies:
% 174.99/26.86 | | | | | | | | | | (13380) op(e0, e2) = all_46_1
% 174.99/26.86 | | | | | | | | | |
% 174.99/26.86 | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_7, all_20_1, e2,
% 174.99/26.86 | | | | | | | | | | e0, simplifying with (225), (13361) gives:
% 174.99/26.86 | | | | | | | | | | (13381) all_61_7 = all_20_1
% 174.99/26.86 | | | | | | | | | |
% 174.99/26.86 | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_7, all_46_1, e2,
% 174.99/26.86 | | | | | | | | | | e0, simplifying with (225), (13380) gives:
% 174.99/26.86 | | | | | | | | | | (13382) all_61_7 = all_46_1
% 174.99/26.86 | | | | | | | | | |
% 174.99/26.86 | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_7, all_65_78, e2,
% 174.99/26.86 | | | | | | | | | | e0, simplifying with (225), (13375) gives:
% 174.99/26.86 | | | | | | | | | | (13383) all_65_78 = all_61_7
% 174.99/26.86 | | | | | | | | | |
% 174.99/26.86 | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_6, all_65_77, e2,
% 174.99/26.86 | | | | | | | | | | e1, simplifying with (229), (13374) gives:
% 174.99/26.86 | | | | | | | | | | (13384) all_65_77 = all_61_6
% 174.99/26.86 | | | | | | | | | |
% 174.99/26.86 | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_13, all_65_78, e0,
% 174.99/26.86 | | | | | | | | | | e2, simplifying with (231), (13371) gives:
% 174.99/26.86 | | | | | | | | | | (13385) all_65_78 = all_61_13
% 174.99/26.86 | | | | | | | | | |
% 174.99/26.86 | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_9, all_65_77, e1,
% 174.99/26.86 | | | | | | | | | | e2, simplifying with (232), (13370) gives:
% 174.99/26.86 | | | | | | | | | | (13386) all_65_77 = all_61_9
% 174.99/26.86 | | | | | | | | | |
% 174.99/26.86 | | | | | | | | | | GROUND_INST: instantiating (50) with all_6_2, all_65_31, e2,
% 174.99/26.86 | | | | | | | | | | e2, simplifying with (55), (13373) gives:
% 174.99/26.86 | | | | | | | | | | (13387) all_65_31 = all_6_2
% 174.99/26.86 | | | | | | | | | |
% 174.99/26.86 | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_75, all_65_31, e2,
% 174.99/26.86 | | | | | | | | | | e2, simplifying with (13369), (13373) gives:
% 174.99/26.86 | | | | | | | | | | (13388) all_65_31 = all_65_75
% 174.99/26.86 | | | | | | | | | |
% 174.99/26.86 | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_1, all_65_73, e3,
% 174.99/26.86 | | | | | | | | | | e2, simplifying with (234), (13368) gives:
% 174.99/26.86 | | | | | | | | | | (13389) all_65_73 = all_61_1
% 174.99/26.86 | | | | | | | | | |
% 174.99/26.86 | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_4, all_65_15, e2,
% 174.99/26.86 | | | | | | | | | | e3, simplifying with (237), (13372) gives:
% 174.99/26.86 | | | | | | | | | | (13390) all_65_15 = all_61_4
% 174.99/26.86 | | | | | | | | | |
% 174.99/26.86 | | | | | | | | | | COMBINE_EQS: (13387), (13388) imply:
% 174.99/26.86 | | | | | | | | | | (13391) all_65_75 = all_6_2
% 174.99/26.86 | | | | | | | | | |
% 174.99/26.86 | | | | | | | | | | COMBINE_EQS: (13384), (13386) imply:
% 174.99/26.86 | | | | | | | | | | (13392) all_61_6 = all_61_9
% 174.99/26.86 | | | | | | | | | |
% 174.99/26.86 | | | | | | | | | | SIMP: (13392) implies:
% 174.99/26.86 | | | | | | | | | | (13393) all_61_6 = all_61_9
% 174.99/26.86 | | | | | | | | | |
% 174.99/26.86 | | | | | | | | | | COMBINE_EQS: (13383), (13385) imply:
% 174.99/26.86 | | | | | | | | | | (13394) all_61_7 = all_61_13
% 174.99/26.86 | | | | | | | | | |
% 174.99/26.86 | | | | | | | | | | SIMP: (13394) implies:
% 174.99/26.86 | | | | | | | | | | (13395) all_61_7 = all_61_13
% 174.99/26.86 | | | | | | | | | |
% 174.99/26.86 | | | | | | | | | | COMBINE_EQS: (13382), (13395) imply:
% 174.99/26.86 | | | | | | | | | | (13396) all_61_13 = all_46_1
% 174.99/26.86 | | | | | | | | | |
% 174.99/26.86 | | | | | | | | | | COMBINE_EQS: (13381), (13395) imply:
% 174.99/26.86 | | | | | | | | | | (13397) all_61_13 = all_20_1
% 174.99/26.86 | | | | | | | | | |
% 174.99/26.86 | | | | | | | | | | COMBINE_EQS: (13396), (13397) imply:
% 174.99/26.86 | | | | | | | | | | (13398) all_46_1 = all_20_1
% 174.99/26.86 | | | | | | | | | |
% 174.99/26.86 | | | | | | | | | | COMBINE_EQS: (508), (13381) imply:
% 174.99/26.86 | | | | | | | | | | (13399) all_63_13 = all_20_1
% 174.99/26.86 | | | | | | | | | |
% 174.99/26.86 | | | | | | | | | | COMBINE_EQS: (501), (13393) imply:
% 174.99/26.86 | | | | | | | | | | (13400) all_63_9 = all_61_9
% 174.99/26.86 | | | | | | | | | |
% 174.99/26.86 | | | | | | | | | | REDUCE: (212), (13397) imply:
% 174.99/26.86 | | | | | | | | | | (13401) ~ (all_61_1 = all_20_1)
% 174.99/26.86 | | | | | | | | | |
% 174.99/26.86 | | | | | | | | | | REDUCE: (210), (13393) imply:
% 174.99/26.86 | | | | | | | | | | (13402) ~ (all_61_2 = all_61_9)
% 174.99/26.86 | | | | | | | | | |
% 174.99/26.86 | | | | | | | | | | REDUCE: (207), (13381) imply:
% 174.99/26.86 | | | | | | | | | | (13403) ~ (all_61_3 = all_20_1)
% 174.99/26.86 | | | | | | | | | |
% 174.99/26.86 | | | | | | | | | | REDUCE: (184), (13397) imply:
% 174.99/26.86 | | | | | | | | | | (13404) ~ (all_61_9 = all_20_1)
% 174.99/26.86 | | | | | | | | | |
% 174.99/26.86 | | | | | | | | | | REDUCE: (180), (13397) imply:
% 174.99/26.86 | | | | | | | | | | (13405) ~ (all_61_12 = all_20_1)
% 174.99/26.86 | | | | | | | | | |
% 174.99/26.86 | | | | | | | | | | REDUCE: (11654), (13397) imply:
% 174.99/26.86 | | | | | | | | | | (13406) ~ (all_20_1 = all_8_1)
% 174.99/26.86 | | | | | | | | | |
% 174.99/26.86 | | | | | | | | | | REDUCE: (615), (13397) imply:
% 174.99/26.86 | | | | | | | | | | (13407) ~ (all_20_1 = all_6_2)
% 174.99/26.86 | | | | | | | | | |
% 174.99/26.86 | | | | | | | | | | REDUCE: (13365), (13397) imply:
% 174.99/26.86 | | | | | | | | | | (13408) ~ (all_20_1 = e2)
% 174.99/26.86 | | | | | | | | | |
% 174.99/26.86 | | | | | | | | | | REDUCE: (670), (13393) imply:
% 174.99/26.86 | | | | | | | | | | (13409) op(all_61_9, e3) = all_65_36
% 174.99/26.86 | | | | | | | | | |
% 174.99/26.86 | | | | | | | | | | REDUCE: (671), (13393) imply:
% 174.99/26.86 | | | | | | | | | | (13410) op(all_61_9, e2) = all_65_37
% 174.99/26.86 | | | | | | | | | |
% 174.99/26.86 | | | | | | | | | | REDUCE: (673), (13393) imply:
% 174.99/26.86 | | | | | | | | | | (13411) op(all_61_9, e0) = all_65_39
% 174.99/26.86 | | | | | | | | | |
% 174.99/26.86 | | | | | | | | | | REDUCE: (686), (13381) imply:
% 174.99/26.86 | | | | | | | | | | (13412) op(all_20_1, e3) = all_65_57
% 174.99/26.86 | | | | | | | | | |
% 174.99/26.86 | | | | | | | | | | REDUCE: (687), (13381) imply:
% 174.99/26.86 | | | | | | | | | | (13413) op(all_20_1, e2) = all_65_59
% 174.99/26.86 | | | | | | | | | |
% 174.99/26.86 | | | | | | | | | | REDUCE: (688), (13381) imply:
% 174.99/26.86 | | | | | | | | | | (13414) op(all_20_1, e1) = all_65_61
% 174.99/26.86 | | | | | | | | | |
% 174.99/26.86 | | | | | | | | | | REDUCE: (689), (13381) imply:
% 174.99/26.86 | | | | | | | | | | (13415) op(all_20_1, e0) = all_65_63
% 174.99/26.86 | | | | | | | | | |
% 174.99/26.86 | | | | | | | | | | REDUCE: (649), (13390) imply:
% 174.99/26.86 | | | | | | | | | | (13416) op(all_61_12, e0) = all_61_4
% 174.99/26.86 | | | | | | | | | |
% 174.99/26.86 | | | | | | | | | | REDUCE: (662), (13397) imply:
% 174.99/26.86 | | | | | | | | | | (13417) op(all_20_1, e3) = all_65_28
% 174.99/26.86 | | | | | | | | | |
% 174.99/26.86 | | | | | | | | | | REDUCE: (663), (13397) imply:
% 174.99/26.86 | | | | | | | | | | (13418) op(all_20_1, e2) = all_65_29
% 174.99/26.86 | | | | | | | | | |
% 174.99/26.86 | | | | | | | | | | REDUCE: (664), (13397) imply:
% 174.99/26.86 | | | | | | | | | | (13419) op(all_20_1, e1) = all_65_30
% 174.99/26.86 | | | | | | | | | |
% 174.99/26.86 | | | | | | | | | | REDUCE: (665), (13387), (13397) imply:
% 174.99/26.86 | | | | | | | | | | (13420) op(all_20_1, e0) = all_6_2
% 174.99/26.86 | | | | | | | | | |
% 174.99/26.86 | | | | | | | | | | REDUCE: (707), (13393) imply:
% 174.99/26.86 | | | | | | | | | | (13421) op(e3, all_61_9) = all_65_9
% 174.99/26.86 | | | | | | | | | |
% 174.99/26.86 | | | | | | | | | | REDUCE: (711), (13381) imply:
% 174.99/26.86 | | | | | | | | | | (13422) op(e3, all_20_1) = all_65_13
% 174.99/26.86 | | | | | | | | | |
% 174.99/26.86 | | | | | | | | | | REDUCE: (705), (13397) imply:
% 174.99/26.86 | | | | | | | | | | (13423) op(e3, all_20_1) = all_65_7
% 174.99/26.86 | | | | | | | | | |
% 174.99/26.86 | | | | | | | | | | REDUCE: (724), (13393) imply:
% 174.99/26.86 | | | | | | | | | | (13424) op(e2, all_61_9) = all_65_25
% 174.99/26.86 | | | | | | | | | |
% 174.99/26.86 | | | | | | | | | | REDUCE: (728), (13381) imply:
% 174.99/26.86 | | | | | | | | | | (13425) op(e2, all_20_1) = all_65_29
% 174.99/26.86 | | | | | | | | | |
% 174.99/26.86 | | | | | | | | | | REDUCE: (722), (13397) imply:
% 174.99/26.86 | | | | | | | | | | (13426) op(e2, all_20_1) = all_65_23
% 174.99/26.86 | | | | | | | | | |
% 174.99/26.86 | | | | | | | | | | REDUCE: (231), (13397) imply:
% 174.99/26.86 | | | | | | | | | | (13427) op(e2, e0) = all_20_1
% 174.99/26.86 | | | | | | | | | |
% 174.99/26.86 | | | | | | | | | | REDUCE: (11688), (13381) imply:
% 174.99/26.86 | | | | | | | | | | (13428) op(e1, all_20_1) = all_65_67
% 174.99/26.86 | | | | | | | | | |
% 174.99/26.86 | | | | | | | | | | REDUCE: (739), (13397) imply:
% 174.99/26.86 | | | | | | | | | | (13429) op(e1, all_20_1) = all_65_39
% 174.99/26.86 | | | | | | | | | |
% 174.99/26.86 | | | | | | | | | | REDUCE: (761), (13389) imply:
% 174.99/26.86 | | | | | | | | | | (13430) op(e0, all_61_3) = all_61_1
% 174.99/26.86 | | | | | | | | | |
% 174.99/26.86 | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_67, all_65_39,
% 174.99/26.86 | | | | | | | | | | all_20_1, e1, simplifying with (13428), (13429)
% 174.99/26.86 | | | | | | | | | | gives:
% 174.99/26.86 | | | | | | | | | | (13431) all_65_39 = all_65_67
% 174.99/26.86 | | | | | | | | | |
% 174.99/26.86 | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_29, all_65_23,
% 174.99/26.86 | | | | | | | | | | all_20_1, e2, simplifying with (13425), (13426)
% 174.99/26.86 | | | | | | | | | | gives:
% 174.99/26.86 | | | | | | | | | | (13432) all_65_23 = all_65_29
% 174.99/26.86 | | | | | | | | | |
% 174.99/26.86 | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_22, all_65_25,
% 174.99/26.86 | | | | | | | | | | all_61_9, e2, simplifying with (721), (13424)
% 174.99/26.86 | | | | | | | | | | gives:
% 174.99/26.86 | | | | | | | | | | (13433) all_65_22 = all_65_25
% 174.99/26.86 | | | | | | | | | |
% 174.99/26.86 | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_13, all_65_7,
% 174.99/26.86 | | | | | | | | | | all_20_1, e3, simplifying with (13422), (13423)
% 174.99/26.86 | | | | | | | | | | gives:
% 174.99/26.86 | | | | | | | | | | (13434) all_65_7 = all_65_13
% 174.99/26.86 | | | | | | | | | |
% 174.99/26.86 | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_6, all_65_9,
% 174.99/26.86 | | | | | | | | | | all_61_9, e3, simplifying with (704), (13421)
% 174.99/26.86 | | | | | | | | | | gives:
% 174.99/26.86 | | | | | | | | | | (13435) all_65_6 = all_65_9
% 174.99/26.86 | | | | | | | | | |
% 174.99/26.86 | | | | | | | | | | GROUND_INST: instantiating (50) with all_6_2, all_65_63, e0,
% 174.99/26.86 | | | | | | | | | | all_20_1, simplifying with (13415), (13420) gives:
% 174.99/26.86 | | | | | | | | | | (13436) all_65_63 = all_6_2
% 174.99/26.86 | | | | | | | | | |
% 174.99/26.86 | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_61, all_65_30, e1,
% 174.99/26.86 | | | | | | | | | | all_20_1, simplifying with (13414), (13419) gives:
% 174.99/26.86 | | | | | | | | | | (13437) all_65_30 = all_65_61
% 174.99/26.86 | | | | | | | | | |
% 174.99/26.86 | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_59, all_65_29, e2,
% 174.99/26.86 | | | | | | | | | | all_20_1, simplifying with (13413), (13418) gives:
% 174.99/26.86 | | | | | | | | | | (13438) all_65_29 = all_65_59
% 174.99/26.86 | | | | | | | | | |
% 174.99/26.86 | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_57, all_65_28, e3,
% 174.99/26.86 | | | | | | | | | | all_20_1, simplifying with (13412), (13417) gives:
% 174.99/26.86 | | | | | | | | | | (13439) all_65_28 = all_65_57
% 174.99/26.86 | | | | | | | | | |
% 174.99/26.86 | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_30, all_65_39, e0,
% 174.99/26.86 | | | | | | | | | | all_61_9, simplifying with (11686), (13411) gives:
% 174.99/26.86 | | | | | | | | | | (13440) all_65_30 = all_65_39
% 174.99/26.86 | | | | | | | | | |
% 174.99/26.86 | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_25, all_65_37, e2,
% 174.99/26.86 | | | | | | | | | | all_61_9, simplifying with (659), (13410) gives:
% 174.99/26.86 | | | | | | | | | | (13441) all_65_25 = all_65_37
% 174.99/26.86 | | | | | | | | | |
% 174.99/26.86 | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_24, all_65_36, e3,
% 174.99/26.86 | | | | | | | | | | all_61_9, simplifying with (658), (13409) gives:
% 174.99/26.86 | | | | | | | | | | (13442) all_65_24 = all_65_36
% 174.99/26.86 | | | | | | | | | |
% 174.99/26.86 | | | | | | | | | | COMBINE_EQS: (13437), (13440) imply:
% 174.99/26.86 | | | | | | | | | | (13443) all_65_39 = all_65_61
% 174.99/26.86 | | | | | | | | | |
% 174.99/26.86 | | | | | | | | | | COMBINE_EQS: (13431), (13443) imply:
% 174.99/26.86 | | | | | | | | | | (13444) all_65_61 = all_65_67
% 174.99/26.86 | | | | | | | | | |
% 174.99/26.86 | | | | | | | | | | COMBINE_EQS: (13432), (13438) imply:
% 174.99/26.86 | | | | | | | | | | (13445) all_65_23 = all_65_59
% 174.99/26.86 | | | | | | | | | |
% 174.99/26.86 | | | | | | | | | | COMBINE_EQS: (13433), (13441) imply:
% 174.99/26.86 | | | | | | | | | | (13446) all_65_22 = all_65_37
% 174.99/26.86 | | | | | | | | | |
% 174.99/26.86 | | | | | | | | | | REDUCE: (640), (13435) imply:
% 174.99/26.86 | | | | | | | | | | (13447) op(all_61_4, e1) = all_65_9
% 174.99/26.86 | | | | | | | | | |
% 174.99/26.86 | | | | | | | | | | REDUCE: (641), (13434) imply:
% 174.99/26.86 | | | | | | | | | | (13448) op(all_61_4, e0) = all_65_13
% 174.99/26.86 | | | | | | | | | |
% 174.99/26.86 | | | | | | | | | | REDUCE: (13411), (13431) imply:
% 174.99/26.86 | | | | | | | | | | (13449) op(all_61_9, e0) = all_65_67
% 174.99/26.86 | | | | | | | | | |
% 174.99/26.86 | | | | | | | | | | REDUCE: (656), (13446) imply:
% 174.99/26.86 | | | | | | | | | | (13450) op(all_6_2, e1) = all_65_37
% 174.99/26.86 | | | | | | | | | |
% 174.99/26.86 | | | | | | | | | | REDUCE: (657), (13445) imply:
% 174.99/26.86 | | | | | | | | | | (13451) op(all_6_2, e0) = all_65_59
% 174.99/26.86 | | | | | | | | | |
% 174.99/26.86 | | | | | | | | | | REDUCE: (723), (13442) imply:
% 174.99/26.86 | | | | | | | | | | (13452) op(e2, all_61_2) = all_65_36
% 174.99/26.86 | | | | | | | | | |
% 174.99/26.86 | | | | | | | | | | REDUCE: (727), (13439) imply:
% 174.99/26.86 | | | | | | | | | | (13453) op(e2, all_61_3) = all_65_57
% 174.99/26.86 | | | | | | | | | |
% 174.99/26.86 | | | | | | | | | | BETA: splitting (80) gives:
% 174.99/26.86 | | | | | | | | | |
% 174.99/26.86 | | | | | | | | | | Case 1:
% 174.99/26.86 | | | | | | | | | | |
% 174.99/26.86 | | | | | | | | | | | (13454) ~ (all_22_2 = e0)
% 174.99/26.86 | | | | | | | | | | |
% 174.99/26.86 | | | | | | | | | | | REDUCE: (449), (13454) imply:
% 174.99/26.86 | | | | | | | | | | | (13455) ~ (all_6_2 = e0)
% 174.99/26.86 | | | | | | | | | | |
% 174.99/26.86 | | | | | | | | | | | BETA: splitting (266) gives:
% 174.99/26.86 | | | | | | | | | | |
% 174.99/26.86 | | | | | | | | | | | Case 1:
% 174.99/26.86 | | | | | | | | | | | |
% 174.99/26.86 | | | | | | | | | | | | (13456) all_63_5 = e3
% 174.99/26.86 | | | | | | | | | | | |
% 174.99/26.86 | | | | | | | | | | | | COMBINE_EQS: (587), (13456) imply:
% 174.99/26.86 | | | | | | | | | | | | (13457) all_6_2 = e3
% 174.99/26.86 | | | | | | | | | | | |
% 174.99/26.86 | | | | | | | | | | | | REDUCE: (767), (13457) imply:
% 174.99/26.86 | | | | | | | | | | | | (13458) $false
% 174.99/26.86 | | | | | | | | | | | |
% 174.99/26.86 | | | | | | | | | | | | CLOSE: (13458) is inconsistent.
% 174.99/26.86 | | | | | | | | | | | |
% 174.99/26.86 | | | | | | | | | | | Case 2:
% 174.99/26.86 | | | | | | | | | | | |
% 174.99/26.86 | | | | | | | | | | | | (13459) all_63_5 = e2 | all_63_5 = e1 | all_63_5 = e0
% 174.99/26.86 | | | | | | | | | | | |
% 174.99/26.86 | | | | | | | | | | | | BETA: splitting (13459) gives:
% 174.99/26.86 | | | | | | | | | | | |
% 174.99/26.86 | | | | | | | | | | | | Case 1:
% 174.99/26.86 | | | | | | | | | | | | |
% 174.99/26.86 | | | | | | | | | | | | | (13460) all_63_5 = e2
% 174.99/26.86 | | | | | | | | | | | | |
% 174.99/26.86 | | | | | | | | | | | | | COMBINE_EQS: (587), (13460) imply:
% 174.99/26.86 | | | | | | | | | | | | | (13461) all_6_2 = e2
% 174.99/26.86 | | | | | | | | | | | | |
% 174.99/26.86 | | | | | | | | | | | | | REDUCE: (604), (13461) imply:
% 174.99/26.86 | | | | | | | | | | | | | (13462) ~ (all_61_1 = e2)
% 174.99/26.86 | | | | | | | | | | | | |
% 174.99/26.86 | | | | | | | | | | | | | REDUCE: (613), (13461) imply:
% 174.99/26.86 | | | | | | | | | | | | | (13463) ~ (all_61_9 = e2)
% 174.99/26.86 | | | | | | | | | | | | |
% 174.99/26.86 | | | | | | | | | | | | | REDUCE: (13420), (13461) imply:
% 174.99/26.86 | | | | | | | | | | | | | (13464) op(all_20_1, e0) = e2
% 174.99/26.86 | | | | | | | | | | | | |
% 174.99/26.86 | | | | | | | | | | | | | REDUCE: (654), (13461) imply:
% 174.99/26.86 | | | | | | | | | | | | | (13465) op(e2, e3) = all_65_20
% 174.99/26.86 | | | | | | | | | | | | |
% 174.99/26.86 | | | | | | | | | | | | | REDUCE: (13450), (13461) imply:
% 174.99/26.86 | | | | | | | | | | | | | (13466) op(e2, e1) = all_65_37
% 174.99/26.86 | | | | | | | | | | | | |
% 174.99/26.86 | | | | | | | | | | | | | REDUCE: (13451), (13461) imply:
% 174.99/26.86 | | | | | | | | | | | | | (13467) op(e2, e0) = all_65_59
% 174.99/26.86 | | | | | | | | | | | | |
% 174.99/26.86 | | | | | | | | | | | | | REDUCE: (703), (13461) imply:
% 174.99/26.86 | | | | | | | | | | | | | (13468) op(e3, e2) = all_65_5
% 174.99/26.86 | | | | | | | | | | | | |
% 174.99/26.86 | | | | | | | | | | | | | REDUCE: (720), (13461) imply:
% 174.99/26.86 | | | | | | | | | | | | | (13469) op(e2, e2) = all_65_21
% 174.99/26.86 | | | | | | | | | | | | |
% 174.99/26.86 | | | | | | | | | | | | | REDUCE: (55), (13461) imply:
% 174.99/26.86 | | | | | | | | | | | | | (13470) op(e2, e2) = e2
% 174.99/26.86 | | | | | | | | | | | | |
% 174.99/26.86 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_20_1, all_65_59, e0,
% 174.99/26.86 | | | | | | | | | | | | | e2, simplifying with (13427), (13467) gives:
% 174.99/26.86 | | | | | | | | | | | | | (13471) all_65_59 = all_20_1
% 174.99/26.86 | | | | | | | | | | | | |
% 174.99/26.86 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_9, all_65_37, e1,
% 174.99/26.86 | | | | | | | | | | | | | e2, simplifying with (232), (13466) gives:
% 174.99/26.86 | | | | | | | | | | | | | (13472) all_65_37 = all_61_9
% 174.99/26.86 | | | | | | | | | | | | |
% 174.99/26.86 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e2, all_65_21, e2, e2,
% 174.99/26.86 | | | | | | | | | | | | | simplifying with (13469), (13470) gives:
% 174.99/26.86 | | | | | | | | | | | | | (13473) all_65_21 = e2
% 174.99/26.86 | | | | | | | | | | | | |
% 174.99/26.86 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_1, all_65_20, e3,
% 174.99/26.87 | | | | | | | | | | | | | e2, simplifying with (234), (13465) gives:
% 174.99/26.87 | | | | | | | | | | | | | (13474) all_65_20 = all_61_1
% 174.99/26.87 | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_4, all_65_5, e2,
% 174.99/26.87 | | | | | | | | | | | | | e3, simplifying with (237), (13468) gives:
% 174.99/26.87 | | | | | | | | | | | | | (13475) all_65_5 = all_61_4
% 174.99/26.87 | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | REDUCE: (639), (13475) imply:
% 174.99/26.87 | | | | | | | | | | | | | (13476) op(all_61_4, e2) = all_61_4
% 174.99/26.87 | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | REDUCE: (13410), (13472) imply:
% 174.99/26.87 | | | | | | | | | | | | | (13477) op(all_61_9, e2) = all_61_9
% 174.99/26.87 | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | BETA: splitting (101) gives:
% 174.99/26.87 | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | Case 1:
% 174.99/26.87 | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | (13478) ~ (all_36_2 = e0)
% 174.99/26.87 | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | REDUCE: (557), (13478) imply:
% 174.99/26.87 | | | | | | | | | | | | | | (13479) ~ (all_14_2 = e0)
% 174.99/26.87 | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | BETA: splitting (107) gives:
% 174.99/26.87 | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | Case 1:
% 174.99/26.87 | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | (13480) ~ (all_40_2 = e1)
% 174.99/26.87 | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | REDUCE: (553), (13480) imply:
% 174.99/26.87 | | | | | | | | | | | | | | | (13481) ~ (all_14_2 = e1)
% 174.99/26.87 | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | BETA: splitting (271) gives:
% 174.99/26.87 | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | Case 1:
% 174.99/26.87 | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | (13482) all_63_0 = e3
% 174.99/26.87 | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | COMBINE_EQS: (588), (13482) imply:
% 174.99/26.87 | | | | | | | | | | | | | | | | (13483) all_14_2 = e3
% 174.99/26.87 | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | REDUCE: (593), (13483) imply:
% 174.99/26.87 | | | | | | | | | | | | | | | | (13484) ~ (all_61_1 = e3)
% 174.99/26.87 | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | REDUCE: (601), (13483) imply:
% 174.99/26.87 | | | | | | | | | | | | | | | | (13485) ~ (all_61_8 = e3)
% 174.99/26.87 | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | REDUCE: (635), (13483) imply:
% 174.99/26.87 | | | | | | | | | | | | | | | | (13486) op(e3, e2) = all_65_1
% 174.99/26.87 | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | REDUCE: (636), (13483) imply:
% 174.99/26.87 | | | | | | | | | | | | | | | | (13487) op(e3, e1) = all_65_2
% 174.99/26.87 | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | REDUCE: (698), (13483) imply:
% 174.99/26.87 | | | | | | | | | | | | | | | | (13488) op(e3, e3) = all_65_0
% 174.99/26.87 | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | REDUCE: (67), (13483) imply:
% 174.99/26.87 | | | | | | | | | | | | | | | | (13489) op(e3, e3) = e3
% 174.99/26.87 | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | REDUCE: (715), (13483) imply:
% 174.99/26.87 | | | | | | | | | | | | | | | | (13490) op(e2, e3) = all_65_16
% 174.99/26.87 | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | REDUCE: (732), (13483) imply:
% 174.99/26.87 | | | | | | | | | | | | | | | | (13491) op(e1, e3) = all_65_32
% 174.99/26.87 | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_2, all_65_32, e3,
% 174.99/26.87 | | | | | | | | | | | | | | | | e1, simplifying with (230), (13491) gives:
% 174.99/26.87 | | | | | | | | | | | | | | | | (13492) all_65_32 = all_61_2
% 174.99/26.87 | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_1, all_65_16, e3,
% 174.99/26.87 | | | | | | | | | | | | | | | | e2, simplifying with (234), (13490) gives:
% 174.99/26.87 | | | | | | | | | | | | | | | | (13493) all_65_16 = all_61_1
% 174.99/26.87 | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_8, all_65_2, e1,
% 174.99/26.87 | | | | | | | | | | | | | | | | e3, simplifying with (236), (13487) gives:
% 174.99/26.87 | | | | | | | | | | | | | | | | (13494) all_65_2 = all_61_8
% 174.99/26.87 | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_4, all_65_1, e2,
% 174.99/26.87 | | | | | | | | | | | | | | | | e3, simplifying with (237), (13486) gives:
% 174.99/26.87 | | | | | | | | | | | | | | | | (13495) all_65_1 = all_61_4
% 174.99/26.87 | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e3, all_65_0, e3, e3,
% 174.99/26.87 | | | | | | | | | | | | | | | | simplifying with (13488), (13489) gives:
% 174.99/26.87 | | | | | | | | | | | | | | | | (13496) all_65_0 = e3
% 174.99/26.87 | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | REDUCE: (650), (13493) imply:
% 174.99/26.87 | | | | | | | | | | | | | | | | (13497) op(all_61_1, e3) = all_61_1
% 174.99/26.87 | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | REDUCE: (666), (13492) imply:
% 174.99/26.87 | | | | | | | | | | | | | | | | (13498) op(all_61_2, e3) = all_61_2
% 174.99/26.87 | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | BETA: splitting (161) gives:
% 174.99/26.87 | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.87 | | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | | (13499) ~ (all_58_2 = e2)
% 174.99/26.87 | | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | | REDUCE: (478), (13499) imply:
% 174.99/26.87 | | | | | | | | | | | | | | | | | (13500) ~ (all_52_2 = e2)
% 174.99/26.87 | | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | | BETA: splitting (165) gives:
% 174.99/26.87 | | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.87 | | | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | | | (13501) ~ (all_58_1 = e3)
% 174.99/26.87 | | | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | | | REDUCE: (481), (13501) imply:
% 174.99/26.87 | | | | | | | | | | | | | | | | | | (13502) ~ (all_52_1 = e3)
% 174.99/26.87 | | | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | | | BETA: splitting (168) gives:
% 174.99/26.87 | | | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.87 | | | | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | (13503) ~ (all_58_0 = e2)
% 174.99/26.87 | | | | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | REDUCE: (484), (13503) imply:
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | (13504) ~ (all_52_0 = e2)
% 174.99/26.87 | | | | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | BETA: splitting (167) gives:
% 174.99/26.87 | | | | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | (13505) ~ (all_58_0 = e1)
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | REDUCE: (484), (13505) imply:
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | (13506) ~ (all_52_0 = e1)
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | BETA: splitting (162) gives:
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | | (13507) ~ (all_58_2 = e3)
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | | REDUCE: (478), (13507) imply:
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | | (13508) ~ (all_52_2 = e3)
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (157) gives:
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | | | (13509) ~ (all_58_3 = e1)
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (475), (13509) imply:
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | | | (13510) ~ (all_52_3 = e1)
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (19), (50), (149), (160), (475), (478),
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | | | (538), (748), (11622), (13376), (13500), (13508),
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | | | (13510) are inconsistent by sub-proof #145.
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | | | (13511) all_58_3 = e1
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | | | (13512) all_58_2 = e0
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (478), (13512) imply:
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | | | (13513) all_52_2 = e0
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | | | SIMP: (13513) implies:
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | | | (13514) all_52_2 = e0
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (475), (13511) imply:
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | | | (13515) all_52_3 = e1
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (629), (13514) imply:
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | | | (13516) ~ (all_52_0 = e0)
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (631), (13514) imply:
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | | | (13517) ~ (all_52_1 = e0)
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (632), (13515) imply:
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | | | (13518) ~ (all_52_1 = e1)
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (50), (150), (151), (534), (536), (628), (714),
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | | | (731), (13470), (13489), (13502), (13504),
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | | | (13506), (13516), (13517), (13518) are
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #197.
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | | End of split
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | | (13519) all_58_0 = e1
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (484), (13506), (13519) are inconsistent by
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | | sub-proof #470.
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | End of split
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | (13520) all_58_2 = e3
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | (13521) all_58_0 = e1
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (484), (13521) imply:
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | (13522) all_52_0 = e1
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (478), (13520) imply:
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | (13523) all_52_2 = e3
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | SIMP: (13523) implies:
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | (13524) all_52_2 = e3
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | REDUCE: (714), (13522) imply:
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | (13525) op(e3, e1) = unit
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | REDUCE: (748), (13524) imply:
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | (13526) op(e1, e3) = unit
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (50), (230), (236), (642), (13485), (13498),
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | (13525), (13526) are inconsistent by sub-proof
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | #506.
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | End of split
% 174.99/26.87 | | | | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.87 | | | | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | (13527) all_58_1 = e3
% 174.99/26.87 | | | | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (481), (13502), (13527) are inconsistent by
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | sub-proof #511.
% 174.99/26.87 | | | | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | | | End of split
% 174.99/26.87 | | | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.87 | | | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | | | (13528) all_58_1 = e3
% 174.99/26.87 | | | | | | | | | | | | | | | | | | (13529) all_58_0 = e2
% 174.99/26.87 | | | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (484), (13529) imply:
% 174.99/26.87 | | | | | | | | | | | | | | | | | | (13530) all_52_0 = e2
% 174.99/26.87 | | | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | | | SIMP: (13530) implies:
% 174.99/26.87 | | | | | | | | | | | | | | | | | | (13531) all_52_0 = e2
% 174.99/26.87 | | | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (481), (13528) imply:
% 174.99/26.87 | | | | | | | | | | | | | | | | | | (13532) all_52_1 = e3
% 174.99/26.87 | | | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | | | SIMP: (13532) implies:
% 174.99/26.87 | | | | | | | | | | | | | | | | | | (13533) all_52_1 = e3
% 174.99/26.87 | | | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | | | REDUCE: (628), (13531), (13533) imply:
% 174.99/26.87 | | | | | | | | | | | | | | | | | | (13534) ~ (e3 = e2)
% 174.99/26.87 | | | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | | | REDUCE: (714), (13531) imply:
% 174.99/26.87 | | | | | | | | | | | | | | | | | | (13535) op(e3, e2) = unit
% 174.99/26.87 | | | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | | | REDUCE: (731), (13533) imply:
% 174.99/26.87 | | | | | | | | | | | | | | | | | | (13536) op(e2, e3) = unit
% 174.99/26.87 | | | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (10), (23), (50), (234), (237), (638), (651),
% 174.99/26.87 | | | | | | | | | | | | | | | | | | (13476), (13497), (13535), (13536) are
% 174.99/26.87 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #196.
% 174.99/26.87 | | | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | | End of split
% 174.99/26.87 | | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.87 | | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | | (13537) all_58_1 = e1
% 174.99/26.87 | | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | | COMBINE_EQS: (481), (13537) imply:
% 174.99/26.87 | | | | | | | | | | | | | | | | | (13538) all_52_1 = e1
% 174.99/26.87 | | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | | SIMP: (13538) implies:
% 174.99/26.87 | | | | | | | | | | | | | | | | | (13539) all_52_1 = e1
% 174.99/26.87 | | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | | REDUCE: (731), (13539) imply:
% 174.99/26.87 | | | | | | | | | | | | | | | | | (13540) op(e2, e1) = unit
% 174.99/26.87 | | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_9, unit, e1, e2,
% 174.99/26.87 | | | | | | | | | | | | | | | | | simplifying with (232), (13540) gives:
% 174.99/26.87 | | | | | | | | | | | | | | | | | (13541) all_61_9 = unit
% 174.99/26.87 | | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | | COMBINE_EQS: (497), (13541) imply:
% 174.99/26.87 | | | | | | | | | | | | | | | | | (13542) all_63_6 = unit
% 174.99/26.87 | | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | | REDUCE: (213), (13541) imply:
% 174.99/26.87 | | | | | | | | | | | | | | | | | (13543) ~ (all_61_1 = unit)
% 174.99/26.87 | | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | | REDUCE: (13404), (13541) imply:
% 174.99/26.87 | | | | | | | | | | | | | | | | | (13544) ~ (all_20_1 = unit)
% 174.99/26.87 | | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | | SIMP: (13544) implies:
% 174.99/26.87 | | | | | | | | | | | | | | | | | (13545) ~ (all_20_1 = unit)
% 174.99/26.87 | | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | | REDUCE: (11652), (13541) imply:
% 174.99/26.87 | | | | | | | | | | | | | | | | | (13546) ~ (all_8_1 = unit)
% 174.99/26.87 | | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | | SIMP: (13546) implies:
% 174.99/26.87 | | | | | | | | | | | | | | | | | (13547) ~ (all_8_1 = unit)
% 174.99/26.87 | | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | | REDUCE: (13463), (13541) imply:
% 174.99/26.87 | | | | | | | | | | | | | | | | | (13548) ~ (unit = e2)
% 174.99/26.87 | | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | | REDUCE: (11613), (13541) imply:
% 174.99/26.87 | | | | | | | | | | | | | | | | | (13549) ~ (unit = e0)
% 174.99/26.87 | | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | | BETA: splitting (265) gives:
% 174.99/26.87 | | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.87 | | | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | | | (13550) all_63_6 = e3
% 174.99/26.87 | | | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13542), (13550) imply:
% 174.99/26.87 | | | | | | | | | | | | | | | | | | (13551) unit = e3
% 174.99/26.87 | | | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | | | REDUCE: (11696), (13551) imply:
% 174.99/26.87 | | | | | | | | | | | | | | | | | | (13552) $false
% 174.99/26.87 | | | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | | | CLOSE: (13552) is inconsistent.
% 174.99/26.87 | | | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.87 | | | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | | | (13553) all_63_6 = e2 | all_63_6 = e1 | all_63_6 = e0
% 174.99/26.87 | | | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | | | BETA: splitting (13553) gives:
% 174.99/26.87 | | | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.87 | | | | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | (13554) all_63_6 = e2
% 174.99/26.87 | | | | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13542), (13554) imply:
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | (13555) unit = e2
% 174.99/26.87 | | | | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | REDUCE: (13548), (13555) imply:
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | (13556) $false
% 174.99/26.87 | | | | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | CLOSE: (13556) is inconsistent.
% 174.99/26.87 | | | | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.87 | | | | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | (13557) all_63_6 = e1 | all_63_6 = e0
% 174.99/26.87 | | | | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | BETA: splitting (13557) gives:
% 174.99/26.87 | | | | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | (13558) all_63_6 = e1
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13542), (13558) imply:
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | (13559) unit = e1
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | REDUCE: (13543), (13559) imply:
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | (13560) ~ (all_61_1 = e1)
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | REDUCE: (13545), (13559) imply:
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | (13561) ~ (all_20_1 = e1)
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | REDUCE: (13547), (13559) imply:
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | (13562) ~ (all_8_1 = e1)
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | BETA: splitting (267) gives:
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | | (13563) all_63_4 = e3
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (493), (13563) imply:
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | | (13564) all_61_1 = e3
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | | REDUCE: (13484), (13564) imply:
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | | (13565) $false
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | | CLOSE: (13565) is inconsistent.
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | | (13566) all_63_4 = e2 | all_63_4 = e1 | all_63_4 = e0
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13566) gives:
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | | | (13567) all_63_4 = e2
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (493), (13567) imply:
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | | | (13568) all_61_1 = e2
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13462), (13568) imply:
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | | | (13569) $false
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (13569) is inconsistent.
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | | | (13570) all_63_4 = e1 | all_63_4 = e0
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (257) gives:
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | | | | (13571) all_63_14 = e3
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11645), (13571) imply:
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | | | | (13572) all_8_1 = e3
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13406), (13572) imply:
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | | | | (13573) ~ (all_20_1 = e3)
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (258) gives:
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | | | | | (13574) all_63_13 = e3
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13399), (13574) imply:
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | | | | | (13575) all_20_1 = e3
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13573), (13575) imply:
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | | | | | (13576) $false
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (13576) is inconsistent.
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | | | | | (13577) all_63_13 = e2 | all_63_13 = e1 | all_63_13 = e0
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13577) gives:
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | (13578) all_63_13 = e2
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13399), (13578) imply:
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | (13579) all_20_1 = e2
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13408), (13579) imply:
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | (13580) $false
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (13580) is inconsistent.
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | (13581) all_63_13 = e1 | all_63_13 = e0
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13581) gives:
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | (13582) all_63_13 = e1
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13399), (13582) imply:
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | (13583) all_20_1 = e1
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13561), (13583) imply:
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | (13584) $false
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (13584) is inconsistent.
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | (13585) all_63_13 = e0
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13399), (13585) imply:
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | (13586) all_20_1 = e0
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13401), (13586) imply:
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | (13587) ~ (all_61_1 = e0)
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (493), (13560), (13570), (13587) are inconsistent
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #472.
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | | | | (13588) all_63_14 = e2 | all_63_14 = e1 | all_63_14 = e0
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11645), (11657), (13367), (13562), (13588) are
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #153.
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | | End of split
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | End of split
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | (13589) all_63_6 = e0
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13542), (13589) imply:
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | (13590) unit = e0
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | REDUCE: (13549), (13590) imply:
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | (13591) $false
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | CLOSE: (13591) is inconsistent.
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | End of split
% 174.99/26.87 | | | | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | | | End of split
% 174.99/26.87 | | | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | | End of split
% 174.99/26.87 | | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | End of split
% 174.99/26.87 | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | Case 2:
% 174.99/26.87 | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | (13592) all_63_0 = e2 | all_63_0 = e1 | all_63_0 = e0
% 174.99/26.87 | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | REF_CLOSE: (588), (11700), (13479), (13481), (13592) are
% 174.99/26.87 | | | | | | | | | | | | | | | | inconsistent by sub-proof #503.
% 174.99/26.87 | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | End of split
% 174.99/26.87 | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | Case 2:
% 174.99/26.87 | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | (13593) all_40_2 = e1
% 174.99/26.87 | | | | | | | | | | | | | | | (13594) op(e3, e1) = all_40_1 & $i(all_40_1) & ( ~
% 174.99/26.87 | | | | | | | | | | | | | | | (all_40_1 = e0) | ( ~ (all_40_0 = e2) & op(e0,
% 174.99/26.87 | | | | | | | | | | | | | | | e3) = all_40_0 & $i(all_40_0)))
% 174.99/26.87 | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | ALPHA: (13594) implies:
% 174.99/26.87 | | | | | | | | | | | | | | | (13595) op(e3, e1) = all_40_1
% 174.99/26.87 | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | COMBINE_EQS: (553), (13593) imply:
% 174.99/26.87 | | | | | | | | | | | | | | | (13596) all_14_2 = e1
% 174.99/26.87 | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | SIMP: (13596) implies:
% 174.99/26.87 | | | | | | | | | | | | | | | (13597) all_14_2 = e1
% 174.99/26.87 | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | COMBINE_EQS: (466), (13597) imply:
% 174.99/26.87 | | | | | | | | | | | | | | | (13598) all_48_2 = e1
% 174.99/26.87 | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | REDUCE: (593), (13597) imply:
% 174.99/26.87 | | | | | | | | | | | | | | | (13599) ~ (all_61_1 = e1)
% 174.99/26.87 | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | REDUCE: (597), (13597) imply:
% 174.99/26.87 | | | | | | | | | | | | | | | (13600) ~ (all_61_3 = e1)
% 174.99/26.87 | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | REDUCE: (634), (13597) imply:
% 174.99/26.87 | | | | | | | | | | | | | | | (13601) op(e1, e3) = all_65_0
% 174.99/26.87 | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | REDUCE: (698), (13597) imply:
% 174.99/26.87 | | | | | | | | | | | | | | | (13602) op(e3, e1) = all_65_0
% 174.99/26.87 | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | BETA: splitting (119) gives:
% 174.99/26.87 | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | Case 1:
% 174.99/26.87 | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | (13603) ~ (all_48_2 = e1)
% 174.99/26.87 | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | REDUCE: (13598), (13603) imply:
% 174.99/26.87 | | | | | | | | | | | | | | | | (13604) $false
% 174.99/26.87 | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | CLOSE: (13604) is inconsistent.
% 174.99/26.87 | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | Case 2:
% 174.99/26.87 | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_2, all_65_0, e3,
% 174.99/26.87 | | | | | | | | | | | | | | | | e1, simplifying with (230), (13601) gives:
% 174.99/26.87 | | | | | | | | | | | | | | | | (13605) all_65_0 = all_61_2
% 174.99/26.87 | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_8, all_65_0, e1,
% 174.99/26.87 | | | | | | | | | | | | | | | | e3, simplifying with (236), (13602) gives:
% 174.99/26.87 | | | | | | | | | | | | | | | | (13606) all_65_0 = all_61_8
% 174.99/26.87 | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_40_1, all_65_0, e1,
% 174.99/26.87 | | | | | | | | | | | | | | | | e3, simplifying with (13595), (13602) gives:
% 174.99/26.87 | | | | | | | | | | | | | | | | (13607) all_65_0 = all_40_1
% 174.99/26.87 | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | COMBINE_EQS: (13605), (13607) imply:
% 174.99/26.87 | | | | | | | | | | | | | | | | (13608) all_61_2 = all_40_1
% 174.99/26.87 | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | SIMP: (13608) implies:
% 174.99/26.87 | | | | | | | | | | | | | | | | (13609) all_61_2 = all_40_1
% 174.99/26.87 | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | COMBINE_EQS: (13606), (13607) imply:
% 174.99/26.87 | | | | | | | | | | | | | | | | (13610) all_61_8 = all_40_1
% 174.99/26.87 | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | SIMP: (13610) implies:
% 174.99/26.87 | | | | | | | | | | | | | | | | (13611) all_61_8 = all_40_1
% 174.99/26.87 | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | REDUCE: (668), (13609) imply:
% 174.99/26.87 | | | | | | | | | | | | | | | | (13612) op(all_40_1, e1) = all_65_34
% 174.99/26.87 | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | REDUCE: (11658), (13611) imply:
% 174.99/26.87 | | | | | | | | | | | | | | | | (13613) op(all_40_1, e1) = all_61_12
% 174.99/26.87 | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | REDUCE: (11672), (13609) imply:
% 174.99/26.87 | | | | | | | | | | | | | | | | (13614) op(e1, all_40_1) = all_61_3
% 174.99/26.87 | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | REDUCE: (734), (13611) imply:
% 174.99/26.87 | | | | | | | | | | | | | | | | (13615) op(e1, all_40_1) = all_65_34
% 174.99/26.87 | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_3, all_65_34,
% 174.99/26.87 | | | | | | | | | | | | | | | | all_40_1, e1, simplifying with (13614), (13615)
% 174.99/26.87 | | | | | | | | | | | | | | | | gives:
% 174.99/26.87 | | | | | | | | | | | | | | | | (13616) all_65_34 = all_61_3
% 174.99/26.87 | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_12, all_65_34, e1,
% 174.99/26.87 | | | | | | | | | | | | | | | | all_40_1, simplifying with (13612), (13613) gives:
% 174.99/26.87 | | | | | | | | | | | | | | | | (13617) all_65_34 = all_61_12
% 174.99/26.87 | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | COMBINE_EQS: (13616), (13617) imply:
% 174.99/26.87 | | | | | | | | | | | | | | | | (13618) all_61_3 = all_61_12
% 174.99/26.87 | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | SIMP: (13618) implies:
% 174.99/26.87 | | | | | | | | | | | | | | | | (13619) all_61_3 = all_61_12
% 174.99/26.87 | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | COMBINE_EQS: (506), (13619) imply:
% 174.99/26.87 | | | | | | | | | | | | | | | | (13620) all_63_12 = all_61_12
% 174.99/26.87 | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | REDUCE: (13600), (13619) imply:
% 174.99/26.87 | | | | | | | | | | | | | | | | (13621) ~ (all_61_12 = e1)
% 174.99/26.87 | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | REDUCE: (685), (13619) imply:
% 174.99/26.87 | | | | | | | | | | | | | | | | (13622) op(all_61_12, e0) = all_65_55
% 174.99/26.87 | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | REDUCE: (13430), (13619) imply:
% 174.99/26.87 | | | | | | | | | | | | | | | | (13623) op(e0, all_61_12) = all_61_1
% 174.99/26.87 | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_55, all_61_1,
% 174.99/26.87 | | | | | | | | | | | | | | | | all_61_12, e0, simplifying with (752), (13623)
% 174.99/26.87 | | | | | | | | | | | | | | | | gives:
% 174.99/26.87 | | | | | | | | | | | | | | | | (13624) all_65_55 = all_61_1
% 174.99/26.87 | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_4, all_65_55, e0,
% 174.99/26.87 | | | | | | | | | | | | | | | | all_61_12, simplifying with (13416), (13622)
% 174.99/26.87 | | | | | | | | | | | | | | | | gives:
% 174.99/26.87 | | | | | | | | | | | | | | | | (13625) all_65_55 = all_61_4
% 174.99/26.87 | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | COMBINE_EQS: (13624), (13625) imply:
% 174.99/26.87 | | | | | | | | | | | | | | | | (13626) all_61_1 = all_61_4
% 174.99/26.87 | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | SIMP: (13626) implies:
% 174.99/26.87 | | | | | | | | | | | | | | | | (13627) all_61_1 = all_61_4
% 174.99/26.87 | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | COMBINE_EQS: (493), (13627) imply:
% 174.99/26.87 | | | | | | | | | | | | | | | | (13628) all_63_4 = all_61_4
% 174.99/26.87 | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | REDUCE: (213), (13627) imply:
% 174.99/26.87 | | | | | | | | | | | | | | | | (13629) ~ (all_61_4 = all_61_9)
% 174.99/26.87 | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | REDUCE: (13401), (13627) imply:
% 174.99/26.87 | | | | | | | | | | | | | | | | (13630) ~ (all_61_4 = all_20_1)
% 174.99/26.87 | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | REDUCE: (13462), (13627) imply:
% 174.99/26.87 | | | | | | | | | | | | | | | | (13631) ~ (all_61_4 = e2)
% 174.99/26.87 | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | REDUCE: (13599), (13627) imply:
% 174.99/26.87 | | | | | | | | | | | | | | | | (13632) ~ (all_61_4 = e1)
% 174.99/26.87 | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | BETA: splitting (11607) gives:
% 174.99/26.87 | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.87 | | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | | (13633) ~ (all_8_1 = e3)
% 174.99/26.87 | | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | | BETA: splitting (257) gives:
% 174.99/26.87 | | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.87 | | | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | | | (13634) all_63_14 = e3
% 174.99/26.87 | | | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11645), (13634) imply:
% 174.99/26.87 | | | | | | | | | | | | | | | | | | (13635) all_8_1 = e3
% 174.99/26.87 | | | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | | | REDUCE: (13633), (13635) imply:
% 174.99/26.87 | | | | | | | | | | | | | | | | | | (13636) $false
% 174.99/26.87 | | | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | | | CLOSE: (13636) is inconsistent.
% 174.99/26.87 | | | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.87 | | | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | | | (13637) ~ (all_63_14 = e3)
% 174.99/26.87 | | | | | | | | | | | | | | | | | | (13638) all_63_14 = e2 | all_63_14 = e1 | all_63_14 = e0
% 174.99/26.87 | | | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | | | BETA: splitting (13638) gives:
% 174.99/26.87 | | | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.87 | | | | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | (13639) all_63_14 = e2
% 174.99/26.87 | | | | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11645), (13639) imply:
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | (13640) all_8_1 = e2
% 174.99/26.87 | | | | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | REDUCE: (13367), (13640) imply:
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | (13641) $false
% 174.99/26.87 | | | | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | CLOSE: (13641) is inconsistent.
% 174.99/26.87 | | | | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.87 | | | | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | (13642) ~ (all_63_14 = e2)
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | (13643) all_63_14 = e1 | all_63_14 = e0
% 174.99/26.87 | | | | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | BETA: splitting (13643) gives:
% 174.99/26.87 | | | | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | (13644) all_63_14 = e1
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11645), (13644) imply:
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | (13645) all_8_1 = e1
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | REDUCE: (13406), (13645) imply:
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | (13646) ~ (all_20_1 = e1)
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | BETA: splitting (262) gives:
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | | (13647) all_63_9 = e3
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13400), (13647) imply:
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | | (13648) all_61_9 = e3
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.87 | | | | | | | | | | | | | | | | | | | | | REDUCE: (13629), (13648) imply:
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | | (13649) ~ (all_61_4 = e3)
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | | REDUCE: (13404), (13648) imply:
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | | (13650) ~ (all_20_1 = e3)
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | | SIMP: (13650) implies:
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | | (13651) ~ (all_20_1 = e3)
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (258), (267), (13399), (13408), (13628), (13630),
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | | (13631), (13632), (13646), (13649), (13651) are
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #144.
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | | (13652) ~ (all_63_9 = e3)
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | | REDUCE: (13400), (13652) imply:
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | | (13653) ~ (all_61_9 = e3)
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (260), (265), (497), (11613), (11646), (11652),
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | | (11657), (13367), (13463), (13633), (13653) are
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #175.
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | End of split
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | (13654) all_63_14 = e0
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11645), (13654) imply:
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | (13655) all_8_1 = e0
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | REDUCE: (11657), (13655) imply:
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | (13656) $false
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | CLOSE: (13656) is inconsistent.
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | End of split
% 174.99/26.88 | | | | | | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | | | | | End of split
% 174.99/26.88 | | | | | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | | | | End of split
% 174.99/26.88 | | | | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.88 | | | | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | | | | (13657) all_8_1 = e3
% 174.99/26.88 | | | | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | | | | REDUCE: (11652), (13657) imply:
% 174.99/26.88 | | | | | | | | | | | | | | | | | (13658) ~ (all_61_9 = e3)
% 174.99/26.88 | | | | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | | | | REDUCE: (11653), (13657) imply:
% 174.99/26.88 | | | | | | | | | | | | | | | | | (13659) ~ (all_61_12 = e3)
% 174.99/26.88 | | | | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | | | | REDUCE: (13406), (13657) imply:
% 174.99/26.88 | | | | | | | | | | | | | | | | | (13660) ~ (all_20_1 = e3)
% 174.99/26.88 | | | | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | | | | BETA: splitting (262) gives:
% 174.99/26.88 | | | | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.88 | | | | | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | | | | | (13661) all_63_9 = e3
% 174.99/26.88 | | | | | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13400), (13661) imply:
% 174.99/26.88 | | | | | | | | | | | | | | | | | | (13662) all_61_9 = e3
% 174.99/26.88 | | | | | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | | | | | REDUCE: (13658), (13662) imply:
% 174.99/26.88 | | | | | | | | | | | | | | | | | | (13663) $false
% 174.99/26.88 | | | | | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | | | | | CLOSE: (13663) is inconsistent.
% 174.99/26.88 | | | | | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.88 | | | | | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | | | | | (13664) all_63_9 = e2 | all_63_9 = e1 | all_63_9 = e0
% 174.99/26.88 | | | | | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | | | | | BETA: splitting (259) gives:
% 174.99/26.88 | | | | | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.88 | | | | | | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | (13665) all_63_12 = e3
% 174.99/26.88 | | | | | | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13620), (13665) imply:
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | (13666) all_61_12 = e3
% 174.99/26.88 | | | | | | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | REDUCE: (13659), (13666) imply:
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | (13667) $false
% 174.99/26.88 | | | | | | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | CLOSE: (13667) is inconsistent.
% 174.99/26.88 | | | | | | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.88 | | | | | | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | (13668) all_63_12 = e2 | all_63_12 = e1 | all_63_12 = e0
% 174.99/26.88 | | | | | | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | BETA: splitting (13668) gives:
% 174.99/26.88 | | | | | | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | (13669) all_63_12 = e2
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13620), (13669) imply:
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | (13670) all_61_12 = e2
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | REDUCE: (13364), (13670) imply:
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | (13671) $false
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | CLOSE: (13671) is inconsistent.
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | (13672) all_63_12 = e1 | all_63_12 = e0
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | BETA: splitting (13672) gives:
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | | (13673) all_63_12 = e1
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13620), (13673) imply:
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | | (13674) all_61_12 = e1
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | | REDUCE: (13621), (13674) imply:
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | | (13675) $false
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | | CLOSE: (13675) is inconsistent.
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | | (13676) all_63_12 = e0
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13620), (13676) imply:
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | | (13677) all_61_12 = e0
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | | REDUCE: (13405), (13677) imply:
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | | (13678) ~ (all_20_1 = e0)
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | | SIMP: (13678) implies:
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | | (13679) ~ (all_20_1 = e0)
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13664) gives:
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | | | (13680) all_63_9 = e2
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13400), (13680) imply:
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | | | (13681) all_61_9 = e2
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13463), (13681) imply:
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | | | (13682) $false
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (13682) is inconsistent.
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | | | (13683) all_63_9 = e1 | all_63_9 = e0
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (258), (11613), (13399), (13400), (13404),
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | | | (13408), (13660), (13679), (13683) are
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #143.
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | | End of split
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | End of split
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | End of split
% 174.99/26.88 | | | | | | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | | | | | End of split
% 174.99/26.88 | | | | | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | | | | End of split
% 174.99/26.88 | | | | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | | | End of split
% 174.99/26.88 | | | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | | End of split
% 174.99/26.88 | | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | End of split
% 174.99/26.88 | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | Case 2:
% 174.99/26.88 | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | (13684) all_36_2 = e0
% 174.99/26.88 | | | | | | | | | | | | | | (13685) op(e3, e0) = all_36_1 & $i(all_36_1) & ( ~
% 174.99/26.88 | | | | | | | | | | | | | | (all_36_1 = e2) | ( ~ (all_36_0 = e1) & op(e2,
% 174.99/26.88 | | | | | | | | | | | | | | e3) = all_36_0 & $i(all_36_0)))
% 174.99/26.88 | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | ALPHA: (13685) implies:
% 174.99/26.88 | | | | | | | | | | | | | | (13686) op(e3, e0) = all_36_1
% 174.99/26.88 | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | COMBINE_EQS: (557), (13684) imply:
% 174.99/26.88 | | | | | | | | | | | | | | (13687) all_14_2 = e0
% 174.99/26.88 | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | SIMP: (13687) implies:
% 174.99/26.88 | | | | | | | | | | | | | | (13688) all_14_2 = e0
% 174.99/26.88 | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | COMBINE_EQS: (549), (13688) imply:
% 174.99/26.88 | | | | | | | | | | | | | | (13689) all_44_2 = e0
% 174.99/26.88 | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | REDUCE: (603), (13688) imply:
% 174.99/26.88 | | | | | | | | | | | | | | (13690) ~ (all_61_12 = e0)
% 174.99/26.88 | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | REDUCE: (11700), (13688) imply:
% 174.99/26.88 | | | | | | | | | | | | | | (13691) ~ (e2 = e0)
% 174.99/26.88 | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | REDUCE: (634), (13688) imply:
% 174.99/26.88 | | | | | | | | | | | | | | (13692) op(e0, e3) = all_65_0
% 174.99/26.88 | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | REDUCE: (636), (13688) imply:
% 174.99/26.88 | | | | | | | | | | | | | | (13693) op(e0, e1) = all_65_2
% 174.99/26.88 | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | REDUCE: (637), (13688) imply:
% 174.99/26.88 | | | | | | | | | | | | | | (13694) op(e0, e0) = all_65_3
% 174.99/26.88 | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | REDUCE: (698), (13688) imply:
% 174.99/26.88 | | | | | | | | | | | | | | (13695) op(e3, e0) = all_65_0
% 174.99/26.88 | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | REDUCE: (715), (13688) imply:
% 174.99/26.88 | | | | | | | | | | | | | | (13696) op(e2, e0) = all_65_16
% 174.99/26.88 | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | REDUCE: (732), (13688) imply:
% 174.99/26.88 | | | | | | | | | | | | | | (13697) op(e1, e0) = all_65_32
% 174.99/26.88 | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | REDUCE: (749), (13688) imply:
% 174.99/26.88 | | | | | | | | | | | | | | (13698) op(e0, e0) = all_65_49
% 174.99/26.88 | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | BETA: splitting (113) gives:
% 174.99/26.88 | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | Case 1:
% 174.99/26.88 | | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | | (13699) ~ (all_44_2 = e0)
% 174.99/26.88 | | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | | REDUCE: (13689), (13699) imply:
% 174.99/26.88 | | | | | | | | | | | | | | | (13700) $false
% 174.99/26.88 | | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | | CLOSE: (13700) is inconsistent.
% 174.99/26.88 | | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | Case 2:
% 174.99/26.88 | | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | | (13701) op(e3, e0) = all_44_1 & $i(all_44_1) & ( ~
% 174.99/26.88 | | | | | | | | | | | | | | | (all_44_1 = e1) | ( ~ (all_44_0 = e2) & op(e1,
% 174.99/26.88 | | | | | | | | | | | | | | | e3) = all_44_0 & $i(all_44_0)))
% 174.99/26.88 | | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | | ALPHA: (13701) implies:
% 174.99/26.88 | | | | | | | | | | | | | | | (13702) op(e3, e0) = all_44_1
% 174.99/26.88 | | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e2, all_65_3, e0, e0,
% 174.99/26.88 | | | | | | | | | | | | | | | simplifying with (13376), (13694) gives:
% 174.99/26.88 | | | | | | | | | | | | | | | (13703) all_65_3 = e2
% 174.99/26.88 | | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_49, all_65_3, e0,
% 174.99/26.88 | | | | | | | | | | | | | | | e0, simplifying with (13694), (13698) gives:
% 174.99/26.88 | | | | | | | | | | | | | | | (13704) all_65_3 = all_65_49
% 174.99/26.88 | | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_8_1, all_65_2, e1, e0,
% 174.99/26.88 | | | | | | | | | | | | | | | simplifying with (11676), (13693) gives:
% 174.99/26.88 | | | | | | | | | | | | | | | (13705) all_65_2 = all_8_1
% 174.99/26.88 | | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_3, all_65_0, e3,
% 174.99/26.88 | | | | | | | | | | | | | | | e0, simplifying with (226), (13692) gives:
% 174.99/26.88 | | | | | | | | | | | | | | | (13706) all_65_0 = all_61_3
% 174.99/26.88 | | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_8_1, all_65_32, e0,
% 174.99/26.88 | | | | | | | | | | | | | | | e1, simplifying with (11606), (13697) gives:
% 174.99/26.88 | | | | | | | | | | | | | | | (13707) all_65_32 = all_8_1
% 174.99/26.88 | | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_20_1, all_65_16, e0,
% 174.99/26.88 | | | | | | | | | | | | | | | e2, simplifying with (13427), (13696) gives:
% 174.99/26.88 | | | | | | | | | | | | | | | (13708) all_65_16 = all_20_1
% 174.99/26.88 | | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_12, all_44_1, e0,
% 174.99/26.88 | | | | | | | | | | | | | | | e3, simplifying with (235), (13702) gives:
% 174.99/26.88 | | | | | | | | | | | | | | | (13709) all_61_12 = all_44_1
% 174.99/26.88 | | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_12, all_65_0, e0,
% 174.99/26.88 | | | | | | | | | | | | | | | e3, simplifying with (235), (13695) gives:
% 174.99/26.88 | | | | | | | | | | | | | | | (13710) all_65_0 = all_61_12
% 174.99/26.88 | | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_36_1, all_65_0, e0,
% 174.99/26.88 | | | | | | | | | | | | | | | e3, simplifying with (13686), (13695) gives:
% 174.99/26.88 | | | | | | | | | | | | | | | (13711) all_65_0 = all_36_1
% 174.99/26.88 | | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | | COMBINE_EQS: (13706), (13711) imply:
% 174.99/26.88 | | | | | | | | | | | | | | | (13712) all_61_3 = all_36_1
% 174.99/26.88 | | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | | SIMP: (13712) implies:
% 174.99/26.88 | | | | | | | | | | | | | | | (13713) all_61_3 = all_36_1
% 174.99/26.88 | | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | | COMBINE_EQS: (13710), (13711) imply:
% 174.99/26.88 | | | | | | | | | | | | | | | (13714) all_61_12 = all_36_1
% 174.99/26.88 | | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | | SIMP: (13714) implies:
% 174.99/26.88 | | | | | | | | | | | | | | | (13715) all_61_12 = all_36_1
% 174.99/26.88 | | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | | COMBINE_EQS: (13703), (13704) imply:
% 174.99/26.88 | | | | | | | | | | | | | | | (13716) all_65_49 = e2
% 174.99/26.88 | | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | | COMBINE_EQS: (13709), (13715) imply:
% 174.99/26.88 | | | | | | | | | | | | | | | (13717) all_44_1 = all_36_1
% 174.99/26.88 | | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | | COMBINE_EQS: (506), (13713) imply:
% 174.99/26.88 | | | | | | | | | | | | | | | (13718) all_63_12 = all_36_1
% 174.99/26.88 | | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | | COMBINE_EQS: (491), (13715) imply:
% 174.99/26.88 | | | | | | | | | | | | | | | (13719) all_63_3 = all_36_1
% 174.99/26.88 | | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | | REDUCE: (211), (13713) imply:
% 174.99/26.88 | | | | | | | | | | | | | | | (13720) ~ (all_61_2 = all_36_1)
% 174.99/26.88 | | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | | REDUCE: (187), (13715) imply:
% 174.99/26.88 | | | | | | | | | | | | | | | (13721) ~ (all_61_8 = all_36_1)
% 174.99/26.88 | | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | | REDUCE: (13405), (13715) imply:
% 174.99/26.88 | | | | | | | | | | | | | | | (13722) ~ (all_36_1 = all_20_1)
% 174.99/26.88 | | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | | REDUCE: (11653), (13715) imply:
% 174.99/26.88 | | | | | | | | | | | | | | | (13723) ~ (all_36_1 = all_8_1)
% 174.99/26.88 | | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | | REDUCE: (13364), (13715) imply:
% 174.99/26.88 | | | | | | | | | | | | | | | (13724) ~ (all_36_1 = e2)
% 174.99/26.88 | | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | | REDUCE: (13690), (13715) imply:
% 174.99/26.88 | | | | | | | | | | | | | | | (13725) ~ (all_36_1 = e0)
% 174.99/26.88 | | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | | REDUCE: (683), (13713) imply:
% 174.99/26.88 | | | | | | | | | | | | | | | (13726) op(all_36_1, e2) = all_65_51
% 174.99/26.88 | | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | | REDUCE: (684), (13713) imply:
% 174.99/26.88 | | | | | | | | | | | | | | | (13727) op(all_36_1, e1) = all_65_53
% 174.99/26.88 | | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | | REDUCE: (685), (13713) imply:
% 174.99/26.88 | | | | | | | | | | | | | | | (13728) op(all_36_1, e0) = all_65_55
% 174.99/26.88 | | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | | REDUCE: (647), (13715) imply:
% 174.99/26.88 | | | | | | | | | | | | | | | (13729) op(all_36_1, e2) = all_65_13
% 174.99/26.88 | | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | | REDUCE: (648), (13715) imply:
% 174.99/26.88 | | | | | | | | | | | | | | | (13730) op(all_36_1, e1) = all_65_14
% 174.99/26.88 | | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | | REDUCE: (13416), (13715) imply:
% 174.99/26.88 | | | | | | | | | | | | | | | (13731) op(all_36_1, e0) = all_61_4
% 174.99/26.88 | | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | | REDUCE: (700), (13705) imply:
% 174.99/26.88 | | | | | | | | | | | | | | | (13732) op(e3, all_61_8) = all_8_1
% 174.99/26.88 | | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | | REDUCE: (13453), (13713) imply:
% 174.99/26.88 | | | | | | | | | | | | | | | (13733) op(e2, all_36_1) = all_65_57
% 174.99/26.88 | | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | | REDUCE: (718), (13715) imply:
% 174.99/26.88 | | | | | | | | | | | | | | | (13734) op(e2, all_36_1) = all_65_19
% 174.99/26.88 | | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | | REDUCE: (11687), (13713) imply:
% 174.99/26.88 | | | | | | | | | | | | | | | (13735) op(e1, all_36_1) = all_65_65
% 174.99/26.88 | | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | | REDUCE: (735), (13715) imply:
% 174.99/26.88 | | | | | | | | | | | | | | | (13736) op(e1, all_36_1) = all_65_35
% 174.99/26.88 | | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | | REDUCE: (13430), (13713) imply:
% 174.99/26.88 | | | | | | | | | | | | | | | (13737) op(e0, all_36_1) = all_61_1
% 174.99/26.88 | | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | | REDUCE: (752), (13715) imply:
% 174.99/26.88 | | | | | | | | | | | | | | | (13738) op(e0, all_36_1) = all_65_55
% 174.99/26.88 | | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_1, all_65_55,
% 174.99/26.88 | | | | | | | | | | | | | | | all_36_1, e0, simplifying with (13737), (13738)
% 174.99/26.88 | | | | | | | | | | | | | | | gives:
% 174.99/26.88 | | | | | | | | | | | | | | | (13739) all_65_55 = all_61_1
% 174.99/26.88 | | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_65, all_65_35,
% 174.99/26.88 | | | | | | | | | | | | | | | all_36_1, e1, simplifying with (13735), (13736)
% 174.99/26.88 | | | | | | | | | | | | | | | gives:
% 174.99/26.88 | | | | | | | | | | | | | | | (13740) all_65_35 = all_65_65
% 174.99/26.88 | | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_57, all_65_19,
% 174.99/26.88 | | | | | | | | | | | | | | | all_36_1, e2, simplifying with (13733), (13734)
% 174.99/26.88 | | | | | | | | | | | | | | | gives:
% 174.99/26.88 | | | | | | | | | | | | | | | (13741) all_65_19 = all_65_57
% 174.99/26.88 | | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_4, all_65_55, e0,
% 174.99/26.88 | | | | | | | | | | | | | | | all_36_1, simplifying with (13728), (13731) gives:
% 174.99/26.88 | | | | | | | | | | | | | | | (13742) all_65_55 = all_61_4
% 174.99/26.88 | | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_53, all_65_14, e1,
% 174.99/26.88 | | | | | | | | | | | | | | | all_36_1, simplifying with (13727), (13730) gives:
% 174.99/26.88 | | | | | | | | | | | | | | | (13743) all_65_14 = all_65_53
% 174.99/26.88 | | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_51, all_65_13, e2,
% 174.99/26.88 | | | | | | | | | | | | | | | all_36_1, simplifying with (13726), (13729) gives:
% 174.99/26.88 | | | | | | | | | | | | | | | (13744) all_65_13 = all_65_51
% 174.99/26.88 | | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | | COMBINE_EQS: (13739), (13742) imply:
% 174.99/26.88 | | | | | | | | | | | | | | | (13745) all_61_1 = all_61_4
% 174.99/26.88 | | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | | SIMP: (13745) implies:
% 174.99/26.88 | | | | | | | | | | | | | | | (13746) all_61_1 = all_61_4
% 174.99/26.88 | | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | | REDUCE: (652), (13746) imply:
% 174.99/26.88 | | | | | | | | | | | | | | | (13747) op(all_61_4, e1) = all_65_18
% 174.99/26.88 | | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | | REDUCE: (653), (13741), (13746) imply:
% 174.99/26.88 | | | | | | | | | | | | | | | (13748) op(all_61_4, e0) = all_65_57
% 174.99/26.88 | | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | | REDUCE: (669), (13740) imply:
% 174.99/26.88 | | | | | | | | | | | | | | | (13749) op(all_61_2, e0) = all_65_65
% 174.99/26.88 | | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | | REDUCE: (13448), (13744) imply:
% 174.99/26.88 | | | | | | | | | | | | | | | (13750) op(all_61_4, e0) = all_65_51
% 174.99/26.88 | | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | | REDUCE: (11685), (13743) imply:
% 174.99/26.88 | | | | | | | | | | | | | | | (13751) op(all_61_8, e0) = all_65_53
% 174.99/26.88 | | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | | REDUCE: (13422), (13744) imply:
% 174.99/26.88 | | | | | | | | | | | | | | | (13752) op(e3, all_20_1) = all_65_51
% 174.99/26.88 | | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_57, all_65_51, e0,
% 174.99/26.88 | | | | | | | | | | | | | | | all_61_4, simplifying with (13748), (13750) gives:
% 174.99/26.88 | | | | | | | | | | | | | | | (13753) all_65_51 = all_65_57
% 174.99/26.88 | | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_9, all_65_18, e1,
% 174.99/26.88 | | | | | | | | | | | | | | | all_61_4, simplifying with (13447), (13747) gives:
% 174.99/26.88 | | | | | | | | | | | | | | | (13754) all_65_9 = all_65_18
% 174.99/26.88 | | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | | REDUCE: (13726), (13753) imply:
% 174.99/26.88 | | | | | | | | | | | | | | | (13755) op(all_36_1, e2) = all_65_57
% 174.99/26.88 | | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | | REDUCE: (13421), (13754) imply:
% 174.99/26.88 | | | | | | | | | | | | | | | (13756) op(e3, all_61_9) = all_65_18
% 174.99/26.88 | | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | | REDUCE: (13752), (13753) imply:
% 174.99/26.88 | | | | | | | | | | | | | | | (13757) op(e3, all_20_1) = all_65_57
% 174.99/26.88 | | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | | BETA: splitting (161) gives:
% 174.99/26.88 | | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | | Case 1:
% 174.99/26.88 | | | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | | | (13758) ~ (all_58_2 = e2)
% 174.99/26.88 | | | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | | | REDUCE: (478), (13758) imply:
% 174.99/26.88 | | | | | | | | | | | | | | | | (13759) ~ (all_52_2 = e2)
% 174.99/26.88 | | | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | | | BETA: splitting (163) gives:
% 174.99/26.88 | | | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.88 | | | | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | | | | (13760) ~ (all_58_1 = e0)
% 174.99/26.88 | | | | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | | | | REDUCE: (481), (13760) imply:
% 174.99/26.88 | | | | | | | | | | | | | | | | | (13761) ~ (all_52_1 = e0)
% 174.99/26.88 | | | | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | | | | BETA: splitting (158) gives:
% 174.99/26.88 | | | | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.88 | | | | | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | | | | | (13762) ~ (all_58_3 = e2)
% 174.99/26.88 | | | | | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | | | | | REDUCE: (475), (13762) imply:
% 174.99/26.88 | | | | | | | | | | | | | | | | | | (13763) ~ (all_52_3 = e2)
% 174.99/26.88 | | | | | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | | | | | BETA: splitting (160) gives:
% 174.99/26.88 | | | | | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.88 | | | | | | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | (13764) ~ (all_58_2 = e0)
% 174.99/26.88 | | | | | | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | REDUCE: (478), (13764) imply:
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | (13765) ~ (all_52_2 = e0)
% 174.99/26.88 | | | | | | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | BETA: splitting (157) gives:
% 174.99/26.88 | | | | | | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | (13766) ~ (all_58_3 = e1)
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | REDUCE: (475), (13766) imply:
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | (13767) ~ (all_52_3 = e1)
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | BETA: splitting (166) gives:
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | | (13768) ~ (all_58_0 = e0)
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | | REDUCE: (484), (13768) imply:
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | | (13769) ~ (all_52_0 = e0)
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (159) gives:
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | | | (13770) ~ (all_58_3 = e3)
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (475), (13770) imply:
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | | | (13771) ~ (all_52_3 = e3)
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (148) gives:
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | | | | (13772) all_56_3 = e3
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (539), (13772) imply:
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | | | | (13773) all_52_3 = e3
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13771), (13773) imply:
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | | | | (13774) $false
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (13774) is inconsistent.
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | | | | (13775) all_56_3 = e2 | all_56_3 = e1 | all_56_3 = e0
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13775) gives:
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | | | | | (13776) all_56_3 = e2
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (539), (13776) imply:
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | | | | | (13777) all_52_3 = e2
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13763), (13777) imply:
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | | | | | (13778) $false
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (13778) is inconsistent.
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | | | | | (13779) all_56_3 = e1 | all_56_3 = e0
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13779) gives:
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | (13780) all_56_3 = e1
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (539), (13780) imply:
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | (13781) all_52_3 = e1
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13767), (13781) imply:
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | (13782) $false
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (13782) is inconsistent.
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | (13783) all_56_3 = e0
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (539), (13783) imply:
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | (13784) all_52_3 = e0
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (765), (13784) imply:
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | (13785) op(e0, e0) = unit
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e2, unit, e0, e0,
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (13376), (13785) gives:
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | (13786) unit = e2
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8), (13786) imply:
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | (13787) op(e2, e1) = e1
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7), (13786) imply:
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | (13788) op(e2, e0) = e0
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_20_1, e0, e0, e2,
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (13427), (13788) gives:
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | (13789) all_20_1 = e0
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_9, e1, e1, e2,
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (232), (13787) gives:
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | (13790) all_61_9 = e1
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13402), (13790) imply:
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | (13791) ~ (all_61_2 = e1)
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (190), (13790) imply:
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | (13792) ~ (all_61_8 = e1)
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11652), (13790) imply:
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | (13793) ~ (all_8_1 = e1)
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13793) implies:
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | (13794) ~ (all_8_1 = e1)
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13406), (13789) imply:
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | (13795) ~ (all_8_1 = e0)
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13756), (13790) imply:
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | (13796) op(e3, e1) = all_65_18
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (50), (236), (257), (263), (269), (489), (499),
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | (717), (11607), (11610), (11612), (11645),
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | (11647), (11651), (11657), (13367), (13452),
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | (13791), (13792), (13794), (13796) are
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #142.
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | | | (13797) all_58_0 = e0
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (484), (13769), (13797) are inconsistent by
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | | | sub-proof #283.
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | | End of split
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | | (13798) all_58_3 = e3
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | | (13799) all_58_0 = e0
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (484), (13799) imply:
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | | (13800) all_52_0 = e0
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | | SIMP: (13800) implies:
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | | (13801) all_52_0 = e0
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (475), (13798) imply:
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | | (13802) all_52_3 = e3
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | | SIMP: (13802) implies:
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | | (13803) all_52_3 = e3
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | | REDUCE: (629), (13801) imply:
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | | (13804) ~ (all_52_2 = e0)
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | | REDUCE: (633), (13803) imply:
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | | (13805) ~ (all_52_2 = e3)
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (19), (50), (149), (538), (748), (11622),
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | | (13376), (13759), (13765), (13805) are
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #146.
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | End of split
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | (13806) all_58_2 = e0
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (478), (13806) imply:
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | (13807) all_52_2 = e0
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | REDUCE: (13765), (13807) imply:
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | (13808) $false
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | | CLOSE: (13808) is inconsistent.
% 174.99/26.88 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | End of split
% 174.99/26.89 | | | | | | | | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.89 | | | | | | | | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | (13809) all_58_2 = e0
% 174.99/26.89 | | | | | | | | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (478), (13809) imply:
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | (13810) all_52_2 = e0
% 174.99/26.89 | | | | | | | | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | REDUCE: (748), (13810) imply:
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | (13811) op(e1, e0) = unit
% 174.99/26.89 | | | | | | | | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_8_1, unit, e0, e1,
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | simplifying with (11606), (13811) gives:
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | (13812) all_8_1 = unit
% 174.99/26.89 | | | | | | | | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11645), (13812) imply:
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | (13813) all_63_14 = unit
% 174.99/26.89 | | | | | | | | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | REDUCE: (11647), (13812) imply:
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | (13814) ~ (all_61_2 = unit)
% 174.99/26.89 | | | | | | | | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | REDUCE: (11651), (13812) imply:
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | (13815) ~ (all_61_8 = unit)
% 174.99/26.89 | | | | | | | | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | REDUCE: (11652), (13812) imply:
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | (13816) ~ (all_61_9 = unit)
% 174.99/26.89 | | | | | | | | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | REDUCE: (13723), (13812) imply:
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | (13817) ~ (all_36_1 = unit)
% 174.99/26.89 | | | | | | | | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | REDUCE: (13406), (13812) imply:
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | (13818) ~ (all_20_1 = unit)
% 174.99/26.89 | | | | | | | | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | REDUCE: (13367), (13812) imply:
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | (13819) ~ (unit = e2)
% 174.99/26.89 | | | | | | | | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | REDUCE: (11657), (13812) imply:
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | (13820) ~ (unit = e0)
% 174.99/26.89 | | | | | | | | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | REDUCE: (13732), (13812) imply:
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | (13821) op(e3, all_61_8) = unit
% 174.99/26.89 | | | | | | | | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | BETA: splitting (257) gives:
% 174.99/26.89 | | | | | | | | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | (13822) all_63_14 = e3
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13813), (13822) imply:
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | (13823) unit = e3
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | REDUCE: (11696), (13823) imply:
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | (13824) $false
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | CLOSE: (13824) is inconsistent.
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | (13825) all_63_14 = e2 | all_63_14 = e1 | all_63_14 = e0
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | BETA: splitting (13825) gives:
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | (13826) all_63_14 = e2
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13813), (13826) imply:
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | (13827) unit = e2
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | REDUCE: (13819), (13827) imply:
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | (13828) $false
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | CLOSE: (13828) is inconsistent.
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | (13829) all_63_14 = e1 | all_63_14 = e0
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13829) gives:
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | (13830) all_63_14 = e1
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13813), (13830) imply:
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | (13831) unit = e1
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13814), (13831) imply:
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | (13832) ~ (all_61_2 = e1)
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13815), (13831) imply:
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | (13833) ~ (all_61_8 = e1)
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13816), (13831) imply:
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | (13834) ~ (all_61_9 = e1)
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13817), (13831) imply:
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | (13835) ~ (all_36_1 = e1)
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13818), (13831) imply:
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | (13836) ~ (all_20_1 = e1)
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13821), (13831) imply:
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | (13837) op(e3, all_61_8) = e1
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6), (13831) imply:
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | (13838) op(e3, e1) = e3
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (265) gives:
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | (13839) all_63_6 = e3
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (497), (13839) imply:
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | (13840) all_61_9 = e3
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13477), (13840) imply:
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | (13841) op(e3, e2) = e3
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13449), (13840) imply:
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | (13842) op(e3, e0) = all_65_67
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (259) gives:
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | (13843) all_63_12 = e3
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13718), (13843) imply:
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | (13844) all_36_1 = e3
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13720), (13844) imply:
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | (13845) ~ (all_61_2 = e3)
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13721), (13844) imply:
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | (13846) ~ (all_61_8 = e3)
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13722), (13844) imply:
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | (13847) ~ (all_20_1 = e3)
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13847) implies:
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | (13848) ~ (all_20_1 = e3)
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13755), (13844) imply:
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | (13849) op(e3, e2) = all_65_57
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13727), (13844) imply:
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | (13850) op(e3, e1) = all_65_53
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (269) gives:
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | (13851) all_63_2 = e3
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (489), (13851) imply:
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | (13852) all_61_8 = e3
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13846), (13852) imply:
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | (13853) $false
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (13853) is inconsistent.
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | (13854) all_63_2 = e2 | all_63_2 = e1 | all_63_2 = e0
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (258) gives:
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | (13855) all_63_13 = e3
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13399), (13855) imply:
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | (13856) all_20_1 = e3
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13848), (13856) imply:
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | (13857) $false
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (13857) is inconsistent.
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | (13858) all_63_13 = e2 | all_63_13 = e1 | all_63_13 = e0
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (263) gives:
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13859) all_63_8 = e3
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (499), (13859) imply:
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13860) all_61_2 = e3
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13845), (13860) imply:
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13861) $false
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (13861) is inconsistent.
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13862) all_63_8 = e2 | all_63_8 = e1 | all_63_8 = e0
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13862) gives:
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13863) all_63_8 = e2
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (499), (13863) imply:
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13864) all_61_2 = e2
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13749), (13864) imply:
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13865) op(e2, e0) = all_65_65
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (706), (13864) imply:
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13866) op(e3, e2) = all_65_8
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13854) gives:
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13867) all_63_2 = e2
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (489), (13867) imply:
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13868) all_61_8 = e2
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13751), (13868) imply:
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13869) op(e2, e0) = all_65_53
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13837), (13868) imply:
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13870) op(e3, e2) = e1
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (236), (13868) imply:
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13871) op(e3, e1) = e2
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13858) gives:
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13872) all_63_13 = e2
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13399), (13408), (13872) are inconsistent by
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #212.
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13873) all_63_13 = e1 | all_63_13 = e0
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13873) gives:
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13874) all_63_13 = e1
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13399), (13836), (13874) are inconsistent by
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #211.
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13875) all_63_13 = e0
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13399), (13875) imply:
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13876) all_20_1 = e0
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13876) implies:
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13877) all_20_1 = e0
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13836), (13877) imply:
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13878) ~ (e1 = e0)
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13757), (13877) imply:
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13879) op(e3, e0) = all_65_57
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13427), (13877) imply:
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13880) op(e2, e0) = e0
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e0, all_65_65, e0, e2,
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (13865), (13880) gives:
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13881) all_65_65 = e0
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_65, all_65_53, e0,
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, simplifying with (13865), (13869) gives:
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13882) all_65_53 = all_65_65
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_67, all_65_57, e0,
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, simplifying with (13842), (13879) gives:
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13883) all_65_57 = all_65_67
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e3, all_65_53, e1, e3,
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (13838), (13850) gives:
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13884) all_65_53 = e3
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e2, all_65_53, e1, e3,
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (13850), (13871) gives:
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13885) all_65_53 = e2
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e3, all_65_57, e2, e3,
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (13841), (13849) gives:
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13886) all_65_57 = e3
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_57, all_65_8, e2,
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, simplifying with (13849), (13866) gives:
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13887) all_65_8 = all_65_57
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e1, all_65_8, e2, e3,
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (13866), (13870) gives:
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13888) all_65_8 = e1
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13887), (13888) imply:
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13889) all_65_57 = e1
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13889) implies:
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13890) all_65_57 = e1
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13884), (13885) imply:
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13891) e3 = e2
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13891) implies:
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13892) e3 = e2
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13882), (13885) imply:
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13893) all_65_65 = e2
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13893) implies:
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13894) all_65_65 = e2
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13883), (13886) imply:
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13895) all_65_67 = e3
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13883), (13890) imply:
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13896) all_65_67 = e1
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13881), (13894) imply:
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13897) e2 = e0
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13897) implies:
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13898) e2 = e0
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13895), (13896) imply:
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13899) e3 = e1
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13899) implies:
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13900) e3 = e1
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13892), (13900) imply:
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13901) e2 = e1
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (13898), (13901) are inconsistent by
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #397.
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13902) all_63_2 = e1 | all_63_2 = e0
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (489), (11612), (13833), (13902) are inconsistent
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #402.
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13903) all_63_8 = e1 | all_63_8 = e0
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (499), (11610), (13832), (13903) are inconsistent
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #387.
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | (13904) ~ (all_63_12 = e3)
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13718), (13904) imply:
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | (13905) ~ (all_36_1 = e3)
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (268), (13719), (13724), (13725), (13835), (13905)
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #446.
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | (13906) all_63_6 = e2 | all_63_6 = e1 | all_63_6 = e0
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (497), (11613), (13463), (13834), (13906) are
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #410.
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | (13907) all_63_14 = e0
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13813), (13907) imply:
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | (13908) unit = e0
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13820), (13908) imply:
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | (13909) $false
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (13909) is inconsistent.
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | | End of split
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | | End of split
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | | | | | | | | End of split
% 174.99/26.89 | | | | | | | | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | | | | | | | End of split
% 174.99/26.89 | | | | | | | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.89 | | | | | | | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | | | | | | | (13910) all_58_1 = e0
% 174.99/26.89 | | | | | | | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | | | | | | | REF_CLOSE: (481), (13761), (13910) are inconsistent by
% 174.99/26.89 | | | | | | | | | | | | | | | | | | sub-proof #462.
% 174.99/26.89 | | | | | | | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | | | | | | End of split
% 174.99/26.89 | | | | | | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.89 | | | | | | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | | | | | | (13911) all_58_3 = e2
% 174.99/26.89 | | | | | | | | | | | | | | | | | (13912) all_58_1 = e0
% 174.99/26.89 | | | | | | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | | | | | | COMBINE_EQS: (481), (13912) imply:
% 174.99/26.89 | | | | | | | | | | | | | | | | | (13913) all_52_1 = e0
% 174.99/26.89 | | | | | | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | | | | | | SIMP: (13913) implies:
% 174.99/26.89 | | | | | | | | | | | | | | | | | (13914) all_52_1 = e0
% 174.99/26.89 | | | | | | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | | | | | | COMBINE_EQS: (475), (13911) imply:
% 174.99/26.89 | | | | | | | | | | | | | | | | | (13915) all_52_3 = e2
% 174.99/26.89 | | | | | | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | | | | | | SIMP: (13915) implies:
% 174.99/26.89 | | | | | | | | | | | | | | | | | (13916) all_52_3 = e2
% 174.99/26.89 | | | | | | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | | | | | | REDUCE: (731), (13914) imply:
% 174.99/26.89 | | | | | | | | | | | | | | | | | (13917) op(e2, e0) = unit
% 174.99/26.89 | | | | | | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (19), (50), (13427), (13464), (13917) are
% 174.99/26.89 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #382.
% 174.99/26.89 | | | | | | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | | | | | End of split
% 174.99/26.89 | | | | | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | | | | Case 2:
% 174.99/26.89 | | | | | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | | | | | (13918) all_58_1 = e1
% 174.99/26.89 | | | | | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | | | | | COMBINE_EQS: (481), (13918) imply:
% 174.99/26.89 | | | | | | | | | | | | | | | | (13919) all_52_1 = e1
% 174.99/26.89 | | | | | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | | | | | SIMP: (13919) implies:
% 174.99/26.89 | | | | | | | | | | | | | | | | (13920) all_52_1 = e1
% 174.99/26.89 | | | | | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | | | | | REDUCE: (731), (13920) imply:
% 174.99/26.89 | | | | | | | | | | | | | | | | (13921) op(e2, e1) = unit
% 174.99/26.89 | | | | | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_9, unit, e1, e2,
% 174.99/26.89 | | | | | | | | | | | | | | | | simplifying with (232), (13921) gives:
% 174.99/26.89 | | | | | | | | | | | | | | | | (13922) all_61_9 = unit
% 174.99/26.89 | | | | | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | | | | | REDUCE: (13402), (13922) imply:
% 174.99/26.89 | | | | | | | | | | | | | | | | (13923) ~ (all_61_2 = unit)
% 174.99/26.89 | | | | | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | | | | | REDUCE: (190), (13922) imply:
% 174.99/26.89 | | | | | | | | | | | | | | | | (13924) ~ (all_61_8 = unit)
% 174.99/26.89 | | | | | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | | | | | REDUCE: (11652), (13922) imply:
% 174.99/26.89 | | | | | | | | | | | | | | | | (13925) ~ (all_8_1 = unit)
% 174.99/26.89 | | | | | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | | | | | SIMP: (13925) implies:
% 174.99/26.89 | | | | | | | | | | | | | | | | (13926) ~ (all_8_1 = unit)
% 174.99/26.89 | | | | | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | | | | | REDUCE: (13463), (13922) imply:
% 174.99/26.89 | | | | | | | | | | | | | | | | (13927) ~ (unit = e2)
% 174.99/26.89 | | | | | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | | | | | REDUCE: (11613), (13922) imply:
% 174.99/26.89 | | | | | | | | | | | | | | | | (13928) ~ (unit = e0)
% 174.99/26.89 | | | | | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | | | | | REDUCE: (13756), (13922) imply:
% 174.99/26.89 | | | | | | | | | | | | | | | | (13929) op(e3, unit) = all_65_18
% 174.99/26.89 | | | | | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | | | | | BETA: splitting (11697) gives:
% 174.99/26.89 | | | | | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.89 | | | | | | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | | | | | | (13930) unit = e2
% 174.99/26.89 | | | | | | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | | | | | | REDUCE: (13927), (13930) imply:
% 174.99/26.89 | | | | | | | | | | | | | | | | | (13931) $false
% 174.99/26.89 | | | | | | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | | | | | | CLOSE: (13931) is inconsistent.
% 174.99/26.89 | | | | | | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.89 | | | | | | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | | | | | | (13932) unit = e1 | unit = e0
% 174.99/26.89 | | | | | | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | | | | | | BETA: splitting (13932) gives:
% 174.99/26.89 | | | | | | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.89 | | | | | | | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | | | | | | | (13933) unit = e1
% 174.99/26.89 | | | | | | | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | | | | | | | REDUCE: (13923), (13933) imply:
% 174.99/26.89 | | | | | | | | | | | | | | | | | | (13934) ~ (all_61_2 = e1)
% 174.99/26.89 | | | | | | | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | | | | | | | REDUCE: (13924), (13933) imply:
% 174.99/26.89 | | | | | | | | | | | | | | | | | | (13935) ~ (all_61_8 = e1)
% 174.99/26.89 | | | | | | | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | | | | | | | REDUCE: (13926), (13933) imply:
% 174.99/26.89 | | | | | | | | | | | | | | | | | | (13936) ~ (all_8_1 = e1)
% 174.99/26.89 | | | | | | | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | | | | | | | REDUCE: (13929), (13933) imply:
% 174.99/26.89 | | | | | | | | | | | | | | | | | | (13937) op(e3, e1) = all_65_18
% 174.99/26.89 | | | | | | | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | | | | | | | REF_CLOSE: (50), (236), (257), (263), (269), (489), (499),
% 174.99/26.89 | | | | | | | | | | | | | | | | | | (717), (11607), (11610), (11612), (11645),
% 174.99/26.89 | | | | | | | | | | | | | | | | | | (11647), (11651), (11657), (13367), (13452),
% 174.99/26.89 | | | | | | | | | | | | | | | | | | (13934), (13935), (13936), (13937) are
% 174.99/26.89 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #142.
% 174.99/26.89 | | | | | | | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.89 | | | | | | | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | | | | | | | (13938) unit = e0
% 174.99/26.89 | | | | | | | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | | | | | | | REDUCE: (13928), (13938) imply:
% 174.99/26.89 | | | | | | | | | | | | | | | | | | (13939) $false
% 174.99/26.89 | | | | | | | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | | | | | | | CLOSE: (13939) is inconsistent.
% 174.99/26.89 | | | | | | | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | | | | | | End of split
% 174.99/26.89 | | | | | | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | | | | | End of split
% 174.99/26.89 | | | | | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | | | | End of split
% 174.99/26.89 | | | | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | | | End of split
% 174.99/26.89 | | | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | | End of split
% 174.99/26.89 | | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | Case 2:
% 174.99/26.89 | | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | | (13940) all_63_5 = e1 | all_63_5 = e0
% 174.99/26.89 | | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | | REF_CLOSE: (587), (11699), (13455), (13940) are inconsistent
% 174.99/26.89 | | | | | | | | | | | | | by sub-proof #524.
% 174.99/26.89 | | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | End of split
% 174.99/26.89 | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | End of split
% 174.99/26.89 | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | Case 2:
% 174.99/26.89 | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | (13941) all_22_2 = e0
% 174.99/26.89 | | | | | | | | | | | (13942) op(e2, e0) = all_22_1 & $i(all_22_1) & ( ~
% 174.99/26.89 | | | | | | | | | | | (all_22_1 = e1) | ( ~ (all_22_0 = e3) & op(e1,
% 174.99/26.89 | | | | | | | | | | | e2) = all_22_0 & $i(all_22_0)))
% 174.99/26.89 | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | ALPHA: (13942) implies:
% 174.99/26.89 | | | | | | | | | | | (13943) op(e2, e0) = all_22_1
% 174.99/26.89 | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | COMBINE_EQS: (449), (13941) imply:
% 174.99/26.89 | | | | | | | | | | | (13944) all_6_2 = e0
% 174.99/26.89 | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | COMBINE_EQS: (580), (13944) imply:
% 174.99/26.89 | | | | | | | | | | | (13945) all_38_2 = e0
% 174.99/26.89 | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | REDUCE: (604), (13944) imply:
% 174.99/26.89 | | | | | | | | | | | (13946) ~ (all_61_1 = e0)
% 174.99/26.89 | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | REDUCE: (13407), (13944) imply:
% 174.99/26.89 | | | | | | | | | | | (13947) ~ (all_20_1 = e0)
% 174.99/26.89 | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | REDUCE: (13450), (13944) imply:
% 174.99/26.89 | | | | | | | | | | | (13948) op(e0, e1) = all_65_37
% 174.99/26.89 | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | REDUCE: (703), (13944) imply:
% 174.99/26.89 | | | | | | | | | | | (13949) op(e3, e0) = all_65_5
% 174.99/26.89 | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | REDUCE: (720), (13944) imply:
% 174.99/26.89 | | | | | | | | | | | (13950) op(e2, e0) = all_65_21
% 174.99/26.89 | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | REDUCE: (55), (13944) imply:
% 174.99/26.89 | | | | | | | | | | | (13951) op(e2, e2) = e0
% 174.99/26.89 | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | REDUCE: (737), (13944) imply:
% 174.99/26.89 | | | | | | | | | | | (13952) op(e1, e0) = all_65_37
% 174.99/26.89 | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | REDUCE: (754), (13944) imply:
% 174.99/26.89 | | | | | | | | | | | (13953) op(e0, e0) = all_65_59
% 174.99/26.89 | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | BETA: splitting (104) gives:
% 174.99/26.89 | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | Case 1:
% 174.99/26.89 | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | (13954) ~ (all_38_2 = e0)
% 174.99/26.89 | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | REDUCE: (13945), (13954) imply:
% 174.99/26.89 | | | | | | | | | | | | (13955) $false
% 174.99/26.89 | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | CLOSE: (13955) is inconsistent.
% 174.99/26.89 | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | Case 2:
% 174.99/26.89 | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | (13956) op(e2, e0) = all_38_1 & $i(all_38_1) & ( ~
% 174.99/26.89 | | | | | | | | | | | | (all_38_1 = e3) | ( ~ (all_38_0 = e1) & op(e3,
% 174.99/26.89 | | | | | | | | | | | | e2) = all_38_0 & $i(all_38_0)))
% 174.99/26.89 | | | | | | | | | | | |
% 174.99/26.89 | | | | | | | | | | | | ALPHA: (13956) implies:
% 174.99/26.90 | | | | | | | | | | | | (13957) op(e2, e0) = all_38_1
% 174.99/26.90 | | | | | | | | | | | |
% 174.99/26.90 | | | | | | | | | | | | GROUND_INST: instantiating (50) with e2, all_65_59, e0, e0,
% 174.99/26.90 | | | | | | | | | | | | simplifying with (13376), (13953) gives:
% 174.99/26.90 | | | | | | | | | | | | (13958) all_65_59 = e2
% 174.99/26.90 | | | | | | | | | | | |
% 174.99/26.90 | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_8_1, all_65_37, e0,
% 174.99/26.90 | | | | | | | | | | | | e1, simplifying with (11606), (13952) gives:
% 174.99/26.90 | | | | | | | | | | | | (13959) all_65_37 = all_8_1
% 174.99/26.90 | | | | | | | | | | | |
% 174.99/26.90 | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_20_1, all_65_21, e0,
% 174.99/26.90 | | | | | | | | | | | | e2, simplifying with (13427), (13950) gives:
% 174.99/26.90 | | | | | | | | | | | | (13960) all_65_21 = all_20_1
% 174.99/26.90 | | | | | | | | | | | |
% 174.99/26.90 | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_38_1, all_65_21, e0,
% 174.99/26.90 | | | | | | | | | | | | e2, simplifying with (13950), (13957) gives:
% 174.99/26.90 | | | | | | | | | | | | (13961) all_65_21 = all_38_1
% 174.99/26.90 | | | | | | | | | | | |
% 174.99/26.90 | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_22_1, all_65_21, e0,
% 174.99/26.90 | | | | | | | | | | | | e2, simplifying with (13943), (13950) gives:
% 174.99/26.90 | | | | | | | | | | | | (13962) all_65_21 = all_22_1
% 174.99/26.90 | | | | | | | | | | | |
% 174.99/26.90 | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_12, all_65_5, e0,
% 174.99/26.90 | | | | | | | | | | | | e3, simplifying with (235), (13949) gives:
% 174.99/26.90 | | | | | | | | | | | | (13963) all_65_5 = all_61_12
% 174.99/26.90 | | | | | | | | | | | |
% 174.99/26.90 | | | | | | | | | | | | COMBINE_EQS: (13961), (13962) imply:
% 174.99/26.90 | | | | | | | | | | | | (13964) all_38_1 = all_22_1
% 174.99/26.90 | | | | | | | | | | | |
% 174.99/26.90 | | | | | | | | | | | | COMBINE_EQS: (13960), (13961) imply:
% 174.99/26.90 | | | | | | | | | | | | (13965) all_38_1 = all_20_1
% 174.99/26.90 | | | | | | | | | | | |
% 174.99/26.90 | | | | | | | | | | | | COMBINE_EQS: (13964), (13965) imply:
% 174.99/26.90 | | | | | | | | | | | | (13966) all_22_1 = all_20_1
% 174.99/26.90 | | | | | | | | | | | |
% 174.99/26.90 | | | | | | | | | | | | SIMP: (13966) implies:
% 174.99/26.90 | | | | | | | | | | | | (13967) all_22_1 = all_20_1
% 174.99/26.90 | | | | | | | | | | | |
% 174.99/26.90 | | | | | | | | | | | | REDUCE: (13410), (13959) imply:
% 174.99/26.90 | | | | | | | | | | | | (13968) op(all_61_9, e2) = all_8_1
% 174.99/26.90 | | | | | | | | | | | |
% 174.99/26.90 | | | | | | | | | | | | BETA: splitting (101) gives:
% 174.99/26.90 | | | | | | | | | | | |
% 174.99/26.90 | | | | | | | | | | | | Case 1:
% 174.99/26.90 | | | | | | | | | | | | |
% 174.99/26.90 | | | | | | | | | | | | | (13969) ~ (all_36_2 = e0)
% 174.99/26.90 | | | | | | | | | | | | |
% 174.99/26.90 | | | | | | | | | | | | | REDUCE: (557), (13969) imply:
% 174.99/26.90 | | | | | | | | | | | | | (13970) ~ (all_14_2 = e0)
% 174.99/26.90 | | | | | | | | | | | | |
% 174.99/26.90 | | | | | | | | | | | | | BETA: splitting (107) gives:
% 174.99/26.90 | | | | | | | | | | | | |
% 174.99/26.90 | | | | | | | | | | | | | Case 1:
% 174.99/26.90 | | | | | | | | | | | | | |
% 174.99/26.90 | | | | | | | | | | | | | | (13971) ~ (all_40_2 = e1)
% 174.99/26.90 | | | | | | | | | | | | | |
% 174.99/26.90 | | | | | | | | | | | | | | REDUCE: (553), (13971) imply:
% 174.99/26.90 | | | | | | | | | | | | | | (13972) ~ (all_14_2 = e1)
% 174.99/26.90 | | | | | | | | | | | | | |
% 174.99/26.90 | | | | | | | | | | | | | | BETA: splitting (271) gives:
% 174.99/26.90 | | | | | | | | | | | | | |
% 174.99/26.90 | | | | | | | | | | | | | | Case 1:
% 174.99/26.90 | | | | | | | | | | | | | | |
% 174.99/26.90 | | | | | | | | | | | | | | | (13973) all_63_0 = e3
% 174.99/26.90 | | | | | | | | | | | | | | |
% 174.99/26.90 | | | | | | | | | | | | | | | COMBINE_EQS: (588), (13973) imply:
% 174.99/26.90 | | | | | | | | | | | | | | | (13974) all_14_2 = e3
% 174.99/26.90 | | | | | | | | | | | | | | |
% 174.99/26.90 | | | | | | | | | | | | | | | REDUCE: (593), (13974) imply:
% 174.99/26.90 | | | | | | | | | | | | | | | (13975) ~ (all_61_1 = e3)
% 174.99/26.90 | | | | | | | | | | | | | | |
% 174.99/26.90 | | | | | | | | | | | | | | | REDUCE: (601), (13974) imply:
% 174.99/26.90 | | | | | | | | | | | | | | | (13976) ~ (all_61_8 = e3)
% 174.99/26.90 | | | | | | | | | | | | | | |
% 174.99/26.90 | | | | | | | | | | | | | | | BETA: splitting (161) gives:
% 174.99/26.90 | | | | | | | | | | | | | | |
% 174.99/26.90 | | | | | | | | | | | | | | | Case 1:
% 174.99/26.90 | | | | | | | | | | | | | | | |
% 174.99/26.90 | | | | | | | | | | | | | | | | (13977) ~ (all_58_2 = e2)
% 174.99/26.90 | | | | | | | | | | | | | | | |
% 174.99/26.90 | | | | | | | | | | | | | | | | REDUCE: (478), (13977) imply:
% 174.99/26.90 | | | | | | | | | | | | | | | | (13978) ~ (all_52_2 = e2)
% 174.99/26.90 | | | | | | | | | | | | | | | |
% 174.99/26.90 | | | | | | | | | | | | | | | | BETA: splitting (163) gives:
% 174.99/26.90 | | | | | | | | | | | | | | | |
% 174.99/26.90 | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.90 | | | | | | | | | | | | | | | | |
% 174.99/26.90 | | | | | | | | | | | | | | | | | (13979) ~ (all_58_1 = e0)
% 174.99/26.90 | | | | | | | | | | | | | | | | |
% 174.99/26.90 | | | | | | | | | | | | | | | | | REDUCE: (481), (13979) imply:
% 174.99/26.90 | | | | | | | | | | | | | | | | | (13980) ~ (all_52_1 = e0)
% 174.99/26.90 | | | | | | | | | | | | | | | | |
% 174.99/26.90 | | | | | | | | | | | | | | | | | BETA: splitting (160) gives:
% 174.99/26.90 | | | | | | | | | | | | | | | | |
% 174.99/26.90 | | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.90 | | | | | | | | | | | | | | | | | |
% 174.99/26.90 | | | | | | | | | | | | | | | | | | (13981) ~ (all_58_2 = e0)
% 174.99/26.90 | | | | | | | | | | | | | | | | | |
% 174.99/26.90 | | | | | | | | | | | | | | | | | | REDUCE: (478), (13981) imply:
% 174.99/26.90 | | | | | | | | | | | | | | | | | | (13982) ~ (all_52_2 = e0)
% 174.99/26.90 | | | | | | | | | | | | | | | | | |
% 174.99/26.90 | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (19), (50), (148), (149), (150), (162),
% 174.99/26.90 | | | | | | | | | | | | | | | | | | (478), (484), (536), (538), (539), (628), (630),
% 174.99/26.90 | | | | | | | | | | | | | | | | | | (631), (632), (633), (731), (748), (765), (11622),
% 174.99/26.90 | | | | | | | | | | | | | | | | | | (13376), (13951), (13978), (13980), (13982) are
% 174.99/26.90 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #141.
% 174.99/26.90 | | | | | | | | | | | | | | | | | |
% 174.99/26.90 | | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.90 | | | | | | | | | | | | | | | | | |
% 174.99/26.90 | | | | | | | | | | | | | | | | | | (13983) all_58_2 = e0
% 174.99/26.90 | | | | | | | | | | | | | | | | | |
% 174.99/26.90 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (478), (13983) imply:
% 174.99/26.90 | | | | | | | | | | | | | | | | | | (13984) all_52_2 = e0
% 174.99/26.90 | | | | | | | | | | | | | | | | | |
% 174.99/26.90 | | | | | | | | | | | | | | | | | | REDUCE: (748), (13984) imply:
% 174.99/26.90 | | | | | | | | | | | | | | | | | | (13985) op(e1, e0) = unit
% 174.99/26.90 | | | | | | | | | | | | | | | | | |
% 174.99/26.90 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_8_1, unit, e0, e1,
% 174.99/26.90 | | | | | | | | | | | | | | | | | | simplifying with (11606), (13985) gives:
% 174.99/26.90 | | | | | | | | | | | | | | | | | | (13986) all_8_1 = unit
% 174.99/26.90 | | | | | | | | | | | | | | | | | |
% 174.99/26.90 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11645), (13986) imply:
% 174.99/26.90 | | | | | | | | | | | | | | | | | | (13987) all_63_14 = unit
% 174.99/26.90 | | | | | | | | | | | | | | | | | |
% 174.99/26.90 | | | | | | | | | | | | | | | | | | REDUCE: (11651), (13986) imply:
% 174.99/26.90 | | | | | | | | | | | | | | | | | | (13988) ~ (all_61_8 = unit)
% 174.99/26.90 | | | | | | | | | | | | | | | | | |
% 174.99/26.90 | | | | | | | | | | | | | | | | | | REDUCE: (11652), (13986) imply:
% 174.99/26.90 | | | | | | | | | | | | | | | | | | (13989) ~ (all_61_9 = unit)
% 174.99/26.90 | | | | | | | | | | | | | | | | | |
% 174.99/26.90 | | | | | | | | | | | | | | | | | | REDUCE: (13406), (13986) imply:
% 174.99/26.90 | | | | | | | | | | | | | | | | | | (13990) ~ (all_20_1 = unit)
% 174.99/26.90 | | | | | | | | | | | | | | | | | |
% 174.99/26.90 | | | | | | | | | | | | | | | | | | REDUCE: (13367), (13986) imply:
% 174.99/26.90 | | | | | | | | | | | | | | | | | | (13991) ~ (unit = e2)
% 174.99/26.90 | | | | | | | | | | | | | | | | | |
% 174.99/26.90 | | | | | | | | | | | | | | | | | | REDUCE: (11657), (13986) imply:
% 174.99/26.90 | | | | | | | | | | | | | | | | | | (13992) ~ (unit = e0)
% 174.99/26.90 | | | | | | | | | | | | | | | | | |
% 174.99/26.90 | | | | | | | | | | | | | | | | | | BETA: splitting (257) gives:
% 174.99/26.90 | | | | | | | | | | | | | | | | | |
% 174.99/26.90 | | | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.90 | | | | | | | | | | | | | | | | | | |
% 174.99/26.90 | | | | | | | | | | | | | | | | | | | (13993) all_63_14 = e3
% 174.99/26.90 | | | | | | | | | | | | | | | | | | |
% 174.99/26.90 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13987), (13993) imply:
% 174.99/26.90 | | | | | | | | | | | | | | | | | | | (13994) unit = e3
% 174.99/26.90 | | | | | | | | | | | | | | | | | | |
% 174.99/26.90 | | | | | | | | | | | | | | | | | | | REDUCE: (11696), (13994) imply:
% 174.99/26.90 | | | | | | | | | | | | | | | | | | | (13995) $false
% 174.99/26.90 | | | | | | | | | | | | | | | | | | |
% 174.99/26.90 | | | | | | | | | | | | | | | | | | | CLOSE: (13995) is inconsistent.
% 174.99/26.90 | | | | | | | | | | | | | | | | | | |
% 174.99/26.90 | | | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.90 | | | | | | | | | | | | | | | | | | |
% 174.99/26.90 | | | | | | | | | | | | | | | | | | | (13996) all_63_14 = e2 | all_63_14 = e1 | all_63_14 = e0
% 174.99/26.90 | | | | | | | | | | | | | | | | | | |
% 174.99/26.90 | | | | | | | | | | | | | | | | | | | BETA: splitting (13996) gives:
% 174.99/26.90 | | | | | | | | | | | | | | | | | | |
% 174.99/26.90 | | | | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.90 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.90 | | | | | | | | | | | | | | | | | | | | (13997) all_63_14 = e2
% 174.99/26.90 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.90 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13987), (13997) imply:
% 174.99/26.90 | | | | | | | | | | | | | | | | | | | | (13998) unit = e2
% 174.99/26.90 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.90 | | | | | | | | | | | | | | | | | | | | REDUCE: (13991), (13998) imply:
% 174.99/26.90 | | | | | | | | | | | | | | | | | | | | (13999) $false
% 174.99/26.90 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.90 | | | | | | | | | | | | | | | | | | | | CLOSE: (13999) is inconsistent.
% 174.99/26.90 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.90 | | | | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.90 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.90 | | | | | | | | | | | | | | | | | | | | (14000) all_63_14 = e1 | all_63_14 = e0
% 174.99/26.90 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.90 | | | | | | | | | | | | | | | | | | | | BETA: splitting (14000) gives:
% 174.99/26.90 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.90 | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.90 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.90 | | | | | | | | | | | | | | | | | | | | | (14001) all_63_14 = e1
% 174.99/26.90 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.90 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13987), (14001) imply:
% 174.99/26.90 | | | | | | | | | | | | | | | | | | | | | (14002) unit = e1
% 174.99/26.90 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.90 | | | | | | | | | | | | | | | | | | | | | REDUCE: (13988), (14002) imply:
% 174.99/26.90 | | | | | | | | | | | | | | | | | | | | | (14003) ~ (all_61_8 = e1)
% 174.99/26.90 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.90 | | | | | | | | | | | | | | | | | | | | | REDUCE: (13989), (14002) imply:
% 174.99/26.90 | | | | | | | | | | | | | | | | | | | | | (14004) ~ (all_61_9 = e1)
% 174.99/26.90 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.90 | | | | | | | | | | | | | | | | | | | | | REDUCE: (13990), (14002) imply:
% 174.99/26.90 | | | | | | | | | | | | | | | | | | | | | (14005) ~ (all_20_1 = e1)
% 174.99/26.90 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.90 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (258) gives:
% 174.99/26.90 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.90 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.90 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.90 | | | | | | | | | | | | | | | | | | | | | | (14006) all_63_13 = e3
% 174.99/26.90 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.90 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13399), (14006) imply:
% 174.99/26.90 | | | | | | | | | | | | | | | | | | | | | | (14007) all_20_1 = e3
% 174.99/26.90 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.90 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13404), (14007) imply:
% 174.99/26.90 | | | | | | | | | | | | | | | | | | | | | | (14008) ~ (all_61_9 = e3)
% 174.99/26.90 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.90 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (190), (265), (269), (489), (497), (11612),
% 174.99/26.90 | | | | | | | | | | | | | | | | | | | | | | (11613), (13976), (14003), (14004), (14008) are
% 174.99/26.90 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #377.
% 174.99/26.90 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.90 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.90 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.90 | | | | | | | | | | | | | | | | | | | | | | (14009) all_63_13 = e2 | all_63_13 = e1 | all_63_13 = e0
% 174.99/26.90 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.90 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13399), (13408), (13947), (14005), (14009) are
% 174.99/26.90 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #380.
% 174.99/26.90 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.90 | | | | | | | | | | | | | | | | | | | | | End of split
% 174.99/26.90 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.90 | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.90 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.90 | | | | | | | | | | | | | | | | | | | | | (14010) all_63_14 = e0
% 174.99/26.90 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13987), (14010) imply:
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | | (14011) unit = e0
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | | REDUCE: (13992), (14011) imply:
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | | (14012) $false
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | | CLOSE: (14012) is inconsistent.
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | End of split
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | End of split
% 174.99/26.91 | | | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | | End of split
% 174.99/26.91 | | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | End of split
% 174.99/26.91 | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.91 | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | (14013) all_58_1 = e0
% 174.99/26.91 | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | COMBINE_EQS: (481), (14013) imply:
% 174.99/26.91 | | | | | | | | | | | | | | | | | (14014) all_52_1 = e0
% 174.99/26.91 | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | SIMP: (14014) implies:
% 174.99/26.91 | | | | | | | | | | | | | | | | | (14015) all_52_1 = e0
% 174.99/26.91 | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | REDUCE: (731), (14015) imply:
% 174.99/26.91 | | | | | | | | | | | | | | | | | (14016) op(e2, e0) = unit
% 174.99/26.91 | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_20_1, unit, e0, e2,
% 174.99/26.91 | | | | | | | | | | | | | | | | | simplifying with (13427), (14016) gives:
% 174.99/26.91 | | | | | | | | | | | | | | | | | (14017) all_20_1 = unit
% 174.99/26.91 | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | REDUCE: (13401), (14017) imply:
% 174.99/26.91 | | | | | | | | | | | | | | | | | (14018) ~ (all_61_1 = unit)
% 174.99/26.91 | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | REDUCE: (13404), (14017) imply:
% 174.99/26.91 | | | | | | | | | | | | | | | | | (14019) ~ (all_61_9 = unit)
% 174.99/26.91 | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | REDUCE: (13406), (14017) imply:
% 174.99/26.91 | | | | | | | | | | | | | | | | | (14020) ~ (all_8_1 = unit)
% 174.99/26.91 | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | SIMP: (14020) implies:
% 174.99/26.91 | | | | | | | | | | | | | | | | | (14021) ~ (all_8_1 = unit)
% 174.99/26.91 | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | REDUCE: (13408), (14017) imply:
% 174.99/26.91 | | | | | | | | | | | | | | | | | (14022) ~ (unit = e2)
% 174.99/26.91 | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | REDUCE: (13947), (14017) imply:
% 174.99/26.91 | | | | | | | | | | | | | | | | | (14023) ~ (unit = e0)
% 174.99/26.91 | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | BETA: splitting (11697) gives:
% 174.99/26.91 | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.91 | | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | | (14024) unit = e2
% 174.99/26.91 | | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | | REDUCE: (14022), (14024) imply:
% 174.99/26.91 | | | | | | | | | | | | | | | | | | (14025) $false
% 174.99/26.91 | | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | | CLOSE: (14025) is inconsistent.
% 174.99/26.91 | | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.91 | | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | | (14026) unit = e1 | unit = e0
% 174.99/26.91 | | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | | BETA: splitting (14026) gives:
% 174.99/26.91 | | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.91 | | | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | (14027) unit = e1
% 174.99/26.91 | | | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | REDUCE: (14018), (14027) imply:
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | (14028) ~ (all_61_1 = e1)
% 174.99/26.91 | | | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | REDUCE: (14019), (14027) imply:
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | (14029) ~ (all_61_9 = e1)
% 174.99/26.91 | | | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | REDUCE: (14021), (14027) imply:
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | (14030) ~ (all_8_1 = e1)
% 174.99/26.91 | | | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | BETA: splitting (257) gives:
% 174.99/26.91 | | | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | (14031) all_63_14 = e3
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11645), (14031) imply:
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | (14032) all_8_1 = e3
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | REDUCE: (11652), (14032) imply:
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | (14033) ~ (all_61_9 = e3)
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (213), (265), (267), (493), (497), (11613),
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | (13946), (13975), (14028), (14029), (14033) are
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #163.
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | (14034) all_63_14 = e2 | all_63_14 = e1 | all_63_14 = e0
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11645), (11657), (13367), (14030), (14034) are
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #153.
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | End of split
% 174.99/26.91 | | | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.91 | | | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | (14035) unit = e0
% 174.99/26.91 | | | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | REDUCE: (14023), (14035) imply:
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | (14036) $false
% 174.99/26.91 | | | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | CLOSE: (14036) is inconsistent.
% 174.99/26.91 | | | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | | End of split
% 174.99/26.91 | | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | End of split
% 174.99/26.91 | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | End of split
% 174.99/26.91 | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | Case 2:
% 174.99/26.91 | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | (14037) all_58_1 = e1
% 174.99/26.91 | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | REF_CLOSE: (9), (50), (232), (481), (731), (13367), (13968),
% 174.99/26.91 | | | | | | | | | | | | | | | | (14037) are inconsistent by sub-proof #139.
% 174.99/26.91 | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | End of split
% 174.99/26.91 | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | Case 2:
% 174.99/26.91 | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | (14038) all_63_0 = e2 | all_63_0 = e1 | all_63_0 = e0
% 174.99/26.91 | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | REF_CLOSE: (588), (11700), (13970), (13972), (14038) are
% 174.99/26.91 | | | | | | | | | | | | | | | inconsistent by sub-proof #503.
% 174.99/26.91 | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | End of split
% 174.99/26.91 | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | Case 2:
% 174.99/26.91 | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | (14039) all_40_2 = e1
% 174.99/26.91 | | | | | | | | | | | | | | (14040) op(e3, e1) = all_40_1 & $i(all_40_1) & ( ~
% 174.99/26.91 | | | | | | | | | | | | | | (all_40_1 = e0) | ( ~ (all_40_0 = e2) & op(e0,
% 174.99/26.91 | | | | | | | | | | | | | | e3) = all_40_0 & $i(all_40_0)))
% 174.99/26.91 | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | ALPHA: (14040) implies:
% 174.99/26.91 | | | | | | | | | | | | | | (14041) op(e3, e1) = all_40_1
% 174.99/26.91 | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | COMBINE_EQS: (553), (14039) imply:
% 174.99/26.91 | | | | | | | | | | | | | | (14042) all_14_2 = e1
% 174.99/26.91 | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | REDUCE: (593), (14042) imply:
% 174.99/26.91 | | | | | | | | | | | | | | (14043) ~ (all_61_1 = e1)
% 174.99/26.91 | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | REDUCE: (597), (14042) imply:
% 174.99/26.91 | | | | | | | | | | | | | | (14044) ~ (all_61_3 = e1)
% 174.99/26.91 | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | REDUCE: (601), (14042) imply:
% 174.99/26.91 | | | | | | | | | | | | | | (14045) ~ (all_61_8 = e1)
% 174.99/26.91 | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | REDUCE: (634), (14042) imply:
% 174.99/26.91 | | | | | | | | | | | | | | (14046) op(e1, e3) = all_65_0
% 174.99/26.91 | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | REDUCE: (637), (14042) imply:
% 174.99/26.91 | | | | | | | | | | | | | | (14047) op(e1, e0) = all_65_3
% 174.99/26.91 | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | REDUCE: (698), (14042) imply:
% 174.99/26.91 | | | | | | | | | | | | | | (14048) op(e3, e1) = all_65_0
% 174.99/26.91 | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | REDUCE: (67), (14042) imply:
% 174.99/26.91 | | | | | | | | | | | | | | (14049) op(e3, e3) = e1
% 174.99/26.91 | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | REDUCE: (715), (14042) imply:
% 174.99/26.91 | | | | | | | | | | | | | | (14050) op(e2, e1) = all_65_16
% 174.99/26.91 | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | REDUCE: (749), (14042) imply:
% 174.99/26.91 | | | | | | | | | | | | | | (14051) op(e0, e1) = all_65_49
% 174.99/26.91 | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_8_1, all_65_49, e1,
% 174.99/26.91 | | | | | | | | | | | | | | e0, simplifying with (11676), (14051) gives:
% 174.99/26.91 | | | | | | | | | | | | | | (14052) all_65_49 = all_8_1
% 174.99/26.91 | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_8_1, all_65_3, e0, e1,
% 174.99/26.91 | | | | | | | | | | | | | | simplifying with (11606), (14047) gives:
% 174.99/26.91 | | | | | | | | | | | | | | (14053) all_65_3 = all_8_1
% 174.99/26.91 | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_2, all_65_0, e3,
% 174.99/26.91 | | | | | | | | | | | | | | e1, simplifying with (230), (14046) gives:
% 174.99/26.91 | | | | | | | | | | | | | | (14054) all_65_0 = all_61_2
% 174.99/26.91 | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_9, all_65_16, e1,
% 174.99/26.91 | | | | | | | | | | | | | | e2, simplifying with (232), (14050) gives:
% 174.99/26.91 | | | | | | | | | | | | | | (14055) all_65_16 = all_61_9
% 174.99/26.91 | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_8, all_65_0, e1,
% 174.99/26.91 | | | | | | | | | | | | | | e3, simplifying with (236), (14048) gives:
% 174.99/26.91 | | | | | | | | | | | | | | (14056) all_65_0 = all_61_8
% 174.99/26.91 | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_40_1, all_65_0, e1,
% 174.99/26.91 | | | | | | | | | | | | | | e3, simplifying with (14041), (14048) gives:
% 174.99/26.91 | | | | | | | | | | | | | | (14057) all_65_0 = all_40_1
% 174.99/26.91 | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | COMBINE_EQS: (14054), (14057) imply:
% 174.99/26.91 | | | | | | | | | | | | | | (14058) all_61_2 = all_40_1
% 174.99/26.91 | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | SIMP: (14058) implies:
% 174.99/26.91 | | | | | | | | | | | | | | (14059) all_61_2 = all_40_1
% 174.99/26.91 | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | COMBINE_EQS: (14056), (14057) imply:
% 174.99/26.91 | | | | | | | | | | | | | | (14060) all_61_8 = all_40_1
% 174.99/26.91 | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | SIMP: (14060) implies:
% 174.99/26.91 | | | | | | | | | | | | | | (14061) all_61_8 = all_40_1
% 174.99/26.91 | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | COMBINE_EQS: (499), (14059) imply:
% 174.99/26.91 | | | | | | | | | | | | | | (14062) all_63_8 = all_40_1
% 174.99/26.91 | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | COMBINE_EQS: (489), (14061) imply:
% 174.99/26.91 | | | | | | | | | | | | | | (14063) all_63_2 = all_40_1
% 174.99/26.91 | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | REDUCE: (216), (14059) imply:
% 174.99/26.91 | | | | | | | | | | | | | | (14064) ~ (all_61_1 = all_40_1)
% 174.99/26.91 | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | REDUCE: (190), (14061) imply:
% 174.99/26.91 | | | | | | | | | | | | | | (14065) ~ (all_61_9 = all_40_1)
% 174.99/26.91 | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | SIMP: (14065) implies:
% 174.99/26.91 | | | | | | | | | | | | | | (14066) ~ (all_61_9 = all_40_1)
% 174.99/26.91 | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | REDUCE: (11651), (14061) imply:
% 174.99/26.91 | | | | | | | | | | | | | | (14067) ~ (all_40_1 = all_8_1)
% 174.99/26.91 | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | REDUCE: (14045), (14061) imply:
% 174.99/26.91 | | | | | | | | | | | | | | (14068) ~ (all_40_1 = e1)
% 174.99/26.91 | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | REDUCE: (11612), (14061) imply:
% 174.99/26.91 | | | | | | | | | | | | | | (14069) ~ (all_40_1 = e0)
% 174.99/26.91 | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | REDUCE: (668), (14059) imply:
% 174.99/26.91 | | | | | | | | | | | | | | (14070) op(all_40_1, e1) = all_65_34
% 174.99/26.91 | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | REDUCE: (669), (14059) imply:
% 174.99/26.91 | | | | | | | | | | | | | | (14071) op(all_40_1, e0) = all_65_35
% 174.99/26.91 | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | REDUCE: (682), (14052) imply:
% 174.99/26.91 | | | | | | | | | | | | | | (14072) op(all_61_3, e3) = all_8_1
% 174.99/26.91 | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | REDUCE: (11658), (14061) imply:
% 174.99/26.91 | | | | | | | | | | | | | | (14073) op(all_40_1, e1) = all_61_12
% 174.99/26.91 | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | REDUCE: (11685), (14061) imply:
% 174.99/26.91 | | | | | | | | | | | | | | (14074) op(all_40_1, e0) = all_65_14
% 174.99/26.91 | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | REDUCE: (11672), (14059) imply:
% 174.99/26.91 | | | | | | | | | | | | | | (14075) op(e1, all_40_1) = all_61_3
% 174.99/26.91 | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | REDUCE: (734), (14061) imply:
% 174.99/26.91 | | | | | | | | | | | | | | (14076) op(e1, all_40_1) = all_65_34
% 174.99/26.91 | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | REDUCE: (757), (14059) imply:
% 174.99/26.91 | | | | | | | | | | | | | | (14077) op(e0, all_40_1) = all_65_65
% 174.99/26.91 | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | REDUCE: (751), (14061) imply:
% 174.99/26.91 | | | | | | | | | | | | | | (14078) op(e0, all_40_1) = all_65_53
% 174.99/26.91 | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_65, all_65_53,
% 174.99/26.91 | | | | | | | | | | | | | | all_40_1, e0, simplifying with (14077), (14078)
% 174.99/26.91 | | | | | | | | | | | | | | gives:
% 174.99/26.91 | | | | | | | | | | | | | | (14079) all_65_53 = all_65_65
% 174.99/26.91 | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_3, all_65_34,
% 174.99/26.91 | | | | | | | | | | | | | | all_40_1, e1, simplifying with (14075), (14076)
% 174.99/26.91 | | | | | | | | | | | | | | gives:
% 174.99/26.91 | | | | | | | | | | | | | | (14080) all_65_34 = all_61_3
% 174.99/26.91 | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_35, all_65_14, e0,
% 174.99/26.91 | | | | | | | | | | | | | | all_40_1, simplifying with (14071), (14074) gives:
% 174.99/26.91 | | | | | | | | | | | | | | (14081) all_65_14 = all_65_35
% 174.99/26.91 | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_12, all_65_34, e1,
% 174.99/26.91 | | | | | | | | | | | | | | all_40_1, simplifying with (14070), (14073) gives:
% 174.99/26.91 | | | | | | | | | | | | | | (14082) all_65_34 = all_61_12
% 174.99/26.91 | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | COMBINE_EQS: (14080), (14082) imply:
% 174.99/26.91 | | | | | | | | | | | | | | (14083) all_61_3 = all_61_12
% 174.99/26.91 | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | SIMP: (14083) implies:
% 174.99/26.91 | | | | | | | | | | | | | | (14084) all_61_3 = all_61_12
% 174.99/26.91 | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | REDUCE: (14044), (14084) imply:
% 174.99/26.91 | | | | | | | | | | | | | | (14085) ~ (all_61_12 = e1)
% 174.99/26.91 | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | REDUCE: (14072), (14084) imply:
% 174.99/26.91 | | | | | | | | | | | | | | (14086) op(all_61_12, e3) = all_8_1
% 174.99/26.91 | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | REDUCE: (684), (14079), (14084) imply:
% 174.99/26.91 | | | | | | | | | | | | | | (14087) op(all_61_12, e1) = all_65_65
% 174.99/26.91 | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | REDUCE: (685), (14084) imply:
% 174.99/26.91 | | | | | | | | | | | | | | (14088) op(all_61_12, e0) = all_65_55
% 174.99/26.91 | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | REDUCE: (648), (14081) imply:
% 174.99/26.91 | | | | | | | | | | | | | | (14089) op(all_61_12, e1) = all_65_35
% 174.99/26.91 | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | REDUCE: (710), (14084) imply:
% 174.99/26.91 | | | | | | | | | | | | | | (14090) op(e3, all_61_12) = all_65_12
% 174.99/26.91 | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | REDUCE: (13430), (14084) imply:
% 174.99/26.91 | | | | | | | | | | | | | | (14091) op(e0, all_61_12) = all_61_1
% 174.99/26.91 | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_55, all_61_1,
% 174.99/26.91 | | | | | | | | | | | | | | all_61_12, e0, simplifying with (752), (14091)
% 174.99/26.91 | | | | | | | | | | | | | | gives:
% 174.99/26.91 | | | | | | | | | | | | | | (14092) all_65_55 = all_61_1
% 174.99/26.91 | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_4, all_65_55, e0,
% 174.99/26.91 | | | | | | | | | | | | | | all_61_12, simplifying with (13416), (14088)
% 174.99/26.91 | | | | | | | | | | | | | | gives:
% 174.99/26.91 | | | | | | | | | | | | | | (14093) all_65_55 = all_61_4
% 174.99/26.91 | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_65, all_65_35, e1,
% 174.99/26.91 | | | | | | | | | | | | | | all_61_12, simplifying with (14087), (14089)
% 174.99/26.91 | | | | | | | | | | | | | | gives:
% 174.99/26.91 | | | | | | | | | | | | | | (14094) all_65_35 = all_65_65
% 174.99/26.91 | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_12, all_8_1, e3,
% 174.99/26.91 | | | | | | | | | | | | | | all_61_12, simplifying with (646), (14086) gives:
% 174.99/26.91 | | | | | | | | | | | | | | (14095) all_65_12 = all_8_1
% 174.99/26.91 | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | COMBINE_EQS: (14092), (14093) imply:
% 174.99/26.91 | | | | | | | | | | | | | | (14096) all_61_1 = all_61_4
% 174.99/26.91 | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | SIMP: (14096) implies:
% 174.99/26.91 | | | | | | | | | | | | | | (14097) all_61_1 = all_61_4
% 174.99/26.91 | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | REDUCE: (213), (14097) imply:
% 174.99/26.91 | | | | | | | | | | | | | | (14098) ~ (all_61_4 = all_61_9)
% 174.99/26.91 | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | REDUCE: (14064), (14097) imply:
% 174.99/26.91 | | | | | | | | | | | | | | (14099) ~ (all_61_4 = all_40_1)
% 174.99/26.91 | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | REDUCE: (14043), (14097) imply:
% 174.99/26.91 | | | | | | | | | | | | | | (14100) ~ (all_61_4 = e1)
% 174.99/26.91 | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | REDUCE: (13946), (14097) imply:
% 174.99/26.91 | | | | | | | | | | | | | | (14101) ~ (all_61_4 = e0)
% 174.99/26.91 | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | REDUCE: (14090), (14095) imply:
% 174.99/26.91 | | | | | | | | | | | | | | (14102) op(e3, all_61_12) = all_8_1
% 174.99/26.91 | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | REDUCE: (735), (14094) imply:
% 174.99/26.91 | | | | | | | | | | | | | | (14103) op(e1, all_61_12) = all_65_65
% 174.99/26.91 | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | BETA: splitting (161) gives:
% 174.99/26.91 | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | Case 1:
% 174.99/26.91 | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | (14104) ~ (all_58_2 = e2)
% 174.99/26.91 | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | REDUCE: (478), (14104) imply:
% 174.99/26.91 | | | | | | | | | | | | | | | (14105) ~ (all_52_2 = e2)
% 174.99/26.91 | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | BETA: splitting (164) gives:
% 174.99/26.91 | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | Case 1:
% 174.99/26.91 | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | (14106) ~ (all_58_1 = e1)
% 174.99/26.91 | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | REDUCE: (481), (14106) imply:
% 174.99/26.91 | | | | | | | | | | | | | | | | (14107) ~ (all_52_1 = e1)
% 174.99/26.91 | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | BETA: splitting (165) gives:
% 174.99/26.91 | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.91 | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | (14108) ~ (all_58_1 = e3)
% 174.99/26.91 | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | REDUCE: (481), (14108) imply:
% 174.99/26.91 | | | | | | | | | | | | | | | | | (14109) ~ (all_52_1 = e3)
% 174.99/26.91 | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | BETA: splitting (168) gives:
% 174.99/26.91 | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.91 | | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | | (14110) ~ (all_58_0 = e2)
% 174.99/26.91 | | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | | REDUCE: (484), (14110) imply:
% 174.99/26.91 | | | | | | | | | | | | | | | | | | (14111) ~ (all_52_0 = e2)
% 174.99/26.91 | | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | | BETA: splitting (157) gives:
% 174.99/26.91 | | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.91 | | | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | (14112) ~ (all_58_3 = e1)
% 174.99/26.91 | | | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | REDUCE: (475), (14112) imply:
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | (14113) ~ (all_52_3 = e1)
% 174.99/26.91 | | | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | BETA: splitting (166) gives:
% 174.99/26.91 | | | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | (14114) ~ (all_58_0 = e0)
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | REDUCE: (484), (14114) imply:
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | (14115) ~ (all_52_0 = e0)
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | BETA: splitting (159) gives:
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | | (14116) ~ (all_58_3 = e3)
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | | REDUCE: (475), (14116) imply:
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | | (14117) ~ (all_52_3 = e3)
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (158) gives:
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | | | (14118) ~ (all_58_3 = e2)
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (475), (14118) imply:
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | | | (14119) ~ (all_52_3 = e2)
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (50), (148), (150), (163), (475), (481), (536),
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | | | (539), (632), (731), (765), (13376), (13951),
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | | | (14107), (14109), (14113), (14117), (14119) are
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #242.
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | | | (14120) all_58_1 = e0
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (481), (14120) imply:
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | | | (14121) all_52_1 = e0
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | | | SIMP: (14121) implies:
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | | | (14122) all_52_1 = e0
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (731), (14122) imply:
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | | | (14123) op(e2, e0) = unit
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_20_1, unit, e0, e2,
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | | | simplifying with (13427), (14123) gives:
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | | | (14124) all_20_1 = unit
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13404), (14124) imply:
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | | | (14125) ~ (all_61_9 = unit)
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13406), (14124) imply:
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | | | (14126) ~ (all_8_1 = unit)
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | | | SIMP: (14126) implies:
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | | | (14127) ~ (all_8_1 = unit)
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13408), (14124) imply:
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | | | (14128) ~ (unit = e2)
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13947), (14124) imply:
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | | | (14129) ~ (unit = e0)
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11697) gives:
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | | | | (14130) unit = e2
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14128), (14130) imply:
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | | | | (14131) $false
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (14131) is inconsistent.
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | | | | (14132) unit = e1 | unit = e0
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (257), (263), (265), (497), (11613), (11645),
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | | | | (11652), (11657), (13367), (14062), (14066),
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | | | | (14067), (14068), (14069), (14125), (14127),
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | | | | (14129), (14132) are inconsistent by sub-proof
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | | | | #138.
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | | End of split
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | | (14133) all_58_0 = e0
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (484), (14115), (14133) are inconsistent by
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | | sub-proof #283.
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | End of split
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | (14134) all_58_3 = e3
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | (14135) all_58_0 = e0
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (484), (14135) imply:
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | (14136) all_52_0 = e0
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | SIMP: (14136) implies:
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | (14137) all_52_0 = e0
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (475), (14134) imply:
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | (14138) all_52_3 = e3
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | SIMP: (14138) implies:
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | (14139) all_52_3 = e3
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | REDUCE: (628), (14137) imply:
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | (14140) ~ (all_52_1 = e0)
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | SIMP: (14140) implies:
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | (14141) ~ (all_52_1 = e0)
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | REDUCE: (124), (14139) imply:
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | (14142) inv(e0) = e3
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | REDUCE: (714), (14137) imply:
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | (14143) op(e3, e0) = unit
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | BETA: splitting (150) gives:
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | | (14144) all_56_1 = e3
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (536), (14109), (14144) are inconsistent by
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | | sub-proof #455.
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | | (14145) all_56_1 = e2 | all_56_1 = e1 | all_56_1 = e0
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14145) gives:
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | | | (14146) all_56_1 = e2
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (536), (14146) imply:
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | | | (14147) all_52_1 = e2
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | | | SIMP: (14147) implies:
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | | | (14148) all_52_1 = e2
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (731), (14148) imply:
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | | | (14149) op(e2, e2) = unit
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e0, unit, e2, e2,
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | | | simplifying with (13951), (14149) gives:
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | | | (14150) unit = e0
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_12, unit, e0, e3,
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | | | simplifying with (235), (14143) gives:
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | | | (14151) all_61_12 = unit
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (14150), (14151) imply:
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | | | (14152) all_61_12 = e0
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14085), (14152) imply:
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | | | (14153) ~ (e1 = e0)
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13), (14150) imply:
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | | | (14154) inv(e0) = e0
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14102), (14152) imply:
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | | | (14155) op(e3, e0) = all_8_1
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6), (14150) imply:
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | | | (14156) op(e3, e0) = e3
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14103), (14152) imply:
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | | | (14157) op(e1, e0) = all_65_65
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4), (14150) imply:
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | | | (14158) op(e1, e0) = e1
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_8_1, all_65_65, e0,
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | | | e1, simplifying with (11606), (14157) gives:
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | | | (14159) all_65_65 = all_8_1
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e1, all_65_65, e0, e1,
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | | | simplifying with (14157), (14158) gives:
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | | | (14160) all_65_65 = e1
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e3, all_8_1, e0, e3,
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | | | simplifying with (14155), (14156) gives:
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | | | (14161) all_8_1 = e3
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (49) with e3, e0, e0, simplifying
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | | | with (14142), (14154) gives:
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | | | (14162) e3 = e0
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (14159), (14160) imply:
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | | | (14163) all_8_1 = e1
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | | | SIMP: (14163) implies:
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | | | (14164) all_8_1 = e1
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (14161), (14164) imply:
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | | | (14165) e3 = e1
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | | | SIMP: (14165) implies:
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | | | (14166) e3 = e1
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (14162), (14166) imply:
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | | | (14167) e1 = e0
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | | | SIMP: (14167) implies:
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | | | (14168) e1 = e0
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18), (14168) imply:
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | | | (14169) $false
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (14169) is inconsistent.
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | | | (14170) all_56_1 = e1 | all_56_1 = e0
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (536), (14107), (14141), (14170) are inconsistent
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | | | by sub-proof #454.
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | | End of split
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | End of split
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | End of split
% 174.99/26.91 | | | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.91 | | | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | (14171) all_58_3 = e1
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | (14172) all_58_2 = e0
% 174.99/26.91 | | | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (478), (14172) imply:
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | (14173) all_52_2 = e0
% 174.99/26.91 | | | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | SIMP: (14173) implies:
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | (14174) all_52_2 = e0
% 174.99/26.91 | | | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (475), (14171) imply:
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | (14175) all_52_3 = e1
% 174.99/26.91 | | | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | REDUCE: (629), (14174) imply:
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | (14176) ~ (all_52_0 = e0)
% 174.99/26.91 | | | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | REDUCE: (630), (14175) imply:
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | (14177) ~ (all_52_0 = e1)
% 174.99/26.91 | | | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | REDUCE: (631), (14174) imply:
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | (14178) ~ (all_52_1 = e0)
% 174.99/26.91 | | | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | REDUCE: (633), (14174), (14175) imply:
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | (14179) ~ (e1 = e0)
% 174.99/26.91 | | | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | BETA: splitting (150) gives:
% 174.99/26.91 | | | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | (14180) all_56_1 = e3
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (536), (14109), (14180) are inconsistent by
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | sub-proof #455.
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | (14181) all_56_1 = e2 | all_56_1 = e1 | all_56_1 = e0
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | BETA: splitting (151) gives:
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | | (14182) all_56_0 = e3
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (534), (14182) imply:
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | | (14183) all_52_0 = e3
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | | SIMP: (14183) implies:
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | | (14184) all_52_0 = e3
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | | REDUCE: (714), (14184) imply:
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | | (14185) op(e3, e3) = unit
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14181) gives:
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | | | (14186) all_56_1 = e2
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (536), (14186) imply:
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | | | (14187) all_52_1 = e2
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | | | SIMP: (14187) implies:
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | | | (14188) all_52_1 = e2
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (731), (14188) imply:
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | | | (14189) op(e2, e2) = unit
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e0, unit, e2, e2,
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | | | simplifying with (13951), (14189) gives:
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | | | (14190) unit = e0
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (50), (14049), (14185), (14190) are
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #160.
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | | | (14191) all_56_1 = e1 | all_56_1 = e0
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (536), (14107), (14178), (14191) are inconsistent
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | | | by sub-proof #454.
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | | End of split
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | | (14192) all_56_0 = e2 | all_56_0 = e1 | all_56_0 = e0
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (534), (14111), (14176), (14177), (14192) are
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #512.
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | End of split
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | End of split
% 174.99/26.91 | | | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | | End of split
% 174.99/26.91 | | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.91 | | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | | (14193) all_58_1 = e3
% 174.99/26.91 | | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | | REF_CLOSE: (481), (14109), (14193) are inconsistent by
% 174.99/26.91 | | | | | | | | | | | | | | | | | | sub-proof #511.
% 174.99/26.91 | | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | End of split
% 174.99/26.91 | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.91 | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | (14194) all_58_0 = e2
% 174.99/26.91 | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | COMBINE_EQS: (484), (14194) imply:
% 174.99/26.91 | | | | | | | | | | | | | | | | | (14195) all_52_0 = e2
% 174.99/26.91 | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | SIMP: (14195) implies:
% 174.99/26.91 | | | | | | | | | | | | | | | | | (14196) all_52_0 = e2
% 174.99/26.91 | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | REDUCE: (714), (14196) imply:
% 174.99/26.91 | | | | | | | | | | | | | | | | | (14197) op(e3, e2) = unit
% 174.99/26.91 | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_4, unit, e2, e3,
% 174.99/26.91 | | | | | | | | | | | | | | | | | simplifying with (237), (14197) gives:
% 174.99/26.91 | | | | | | | | | | | | | | | | | (14198) all_61_4 = unit
% 174.99/26.91 | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | COMBINE_EQS: (488), (14198) imply:
% 174.99/26.91 | | | | | | | | | | | | | | | | | (14199) all_63_1 = unit
% 174.99/26.91 | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | REDUCE: (14098), (14198) imply:
% 174.99/26.91 | | | | | | | | | | | | | | | | | (14200) ~ (all_61_9 = unit)
% 174.99/26.91 | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | SIMP: (14200) implies:
% 174.99/26.91 | | | | | | | | | | | | | | | | | (14201) ~ (all_61_9 = unit)
% 174.99/26.91 | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | REDUCE: (14099), (14198) imply:
% 174.99/26.91 | | | | | | | | | | | | | | | | | (14202) ~ (all_40_1 = unit)
% 174.99/26.91 | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | SIMP: (14202) implies:
% 174.99/26.91 | | | | | | | | | | | | | | | | | (14203) ~ (all_40_1 = unit)
% 174.99/26.91 | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | REDUCE: (14100), (14198) imply:
% 174.99/26.91 | | | | | | | | | | | | | | | | | (14204) ~ (unit = e1)
% 174.99/26.91 | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | REDUCE: (14101), (14198) imply:
% 174.99/26.91 | | | | | | | | | | | | | | | | | (14205) ~ (unit = e0)
% 174.99/26.91 | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | BETA: splitting (11697) gives:
% 174.99/26.91 | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.91 | | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | | (14206) unit = e2
% 174.99/26.91 | | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | | REDUCE: (14201), (14206) imply:
% 174.99/26.91 | | | | | | | | | | | | | | | | | | (14207) ~ (all_61_9 = e2)
% 174.99/26.91 | | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | | REDUCE: (14203), (14206) imply:
% 174.99/26.91 | | | | | | | | | | | | | | | | | | (14208) ~ (all_40_1 = e2)
% 174.99/26.91 | | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | | REF_CLOSE: (260), (263), (265), (269), (497), (11613),
% 174.99/26.91 | | | | | | | | | | | | | | | | | | (11646), (11652), (11657), (13367), (14062),
% 174.99/26.91 | | | | | | | | | | | | | | | | | | (14063), (14066), (14067), (14068), (14069),
% 174.99/26.91 | | | | | | | | | | | | | | | | | | (14207), (14208) are inconsistent by sub-proof
% 174.99/26.91 | | | | | | | | | | | | | | | | | | #174.
% 174.99/26.91 | | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.91 | | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | | (14209) ~ (unit = e2)
% 174.99/26.91 | | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | | REF_CLOSE: (270), (11696), (14199), (14204), (14205), (14209)
% 174.99/26.91 | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #230.
% 174.99/26.91 | | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | End of split
% 174.99/26.91 | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | End of split
% 174.99/26.91 | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | Case 2:
% 174.99/26.91 | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | (14210) all_58_2 = e2
% 174.99/26.91 | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | REF_CLOSE: (478), (14105), (14210) are inconsistent by
% 174.99/26.91 | | | | | | | | | | | | | | | | sub-proof #433.
% 174.99/26.91 | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | End of split
% 174.99/26.91 | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | Case 2:
% 174.99/26.91 | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | (14211) all_58_1 = e1
% 174.99/26.91 | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | COMBINE_EQS: (481), (14211) imply:
% 174.99/26.91 | | | | | | | | | | | | | | | (14212) all_52_1 = e1
% 174.99/26.91 | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | SIMP: (14212) implies:
% 174.99/26.91 | | | | | | | | | | | | | | | (14213) all_52_1 = e1
% 174.99/26.91 | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | REDUCE: (731), (14213) imply:
% 174.99/26.91 | | | | | | | | | | | | | | | (14214) op(e2, e1) = unit
% 174.99/26.91 | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | REF_CLOSE: (9), (50), (232), (13367), (13968), (14214) are
% 174.99/26.91 | | | | | | | | | | | | | | | inconsistent by sub-proof #140.
% 174.99/26.91 | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | End of split
% 174.99/26.91 | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | End of split
% 174.99/26.91 | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | Case 2:
% 174.99/26.91 | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | (14215) all_36_2 = e0
% 174.99/26.91 | | | | | | | | | | | | | (14216) op(e3, e0) = all_36_1 & $i(all_36_1) & ( ~
% 174.99/26.91 | | | | | | | | | | | | | (all_36_1 = e2) | ( ~ (all_36_0 = e1) & op(e2,
% 174.99/26.91 | | | | | | | | | | | | | e3) = all_36_0 & $i(all_36_0)))
% 174.99/26.91 | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | ALPHA: (14216) implies:
% 174.99/26.91 | | | | | | | | | | | | | (14217) op(e3, e0) = all_36_1
% 174.99/26.91 | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | COMBINE_EQS: (557), (14215) imply:
% 174.99/26.91 | | | | | | | | | | | | | (14218) all_14_2 = e0
% 174.99/26.91 | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | REDUCE: (603), (14218) imply:
% 174.99/26.91 | | | | | | | | | | | | | (14219) ~ (all_61_12 = e0)
% 174.99/26.91 | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | REDUCE: (637), (14218) imply:
% 174.99/26.91 | | | | | | | | | | | | | (14220) op(e0, e0) = all_65_3
% 174.99/26.91 | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | REDUCE: (698), (14218) imply:
% 174.99/26.91 | | | | | | | | | | | | | (14221) op(e3, e0) = all_65_0
% 174.99/26.91 | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | REDUCE: (67), (14218) imply:
% 174.99/26.91 | | | | | | | | | | | | | (14222) op(e3, e3) = e0
% 174.99/26.91 | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | REDUCE: (715), (14218) imply:
% 174.99/26.91 | | | | | | | | | | | | | (14223) op(e2, e0) = all_65_16
% 174.99/26.91 | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | REDUCE: (732), (14218) imply:
% 174.99/26.91 | | | | | | | | | | | | | (14224) op(e1, e0) = all_65_32
% 174.99/26.91 | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | REDUCE: (749), (14218) imply:
% 174.99/26.91 | | | | | | | | | | | | | (14225) op(e0, e0) = all_65_49
% 174.99/26.91 | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | BETA: splitting (170) gives:
% 174.99/26.91 | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | Case 1:
% 174.99/26.91 | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | (14226) ( ~ (all_60_0 = e0) & op(e3, e3) = all_60_0 &
% 174.99/26.91 | | | | | | | | | | | | | | $i(all_60_0)) | ( ~ (all_60_1 = e0) & op(e2, e2)
% 174.99/26.91 | | | | | | | | | | | | | | = all_60_1 & $i(all_60_1))
% 174.99/26.91 | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | BETA: splitting (14226) gives:
% 174.99/26.91 | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | Case 1:
% 174.99/26.91 | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | (14227) ~ (all_60_0 = e0) & op(e3, e3) = all_60_0 &
% 174.99/26.91 | | | | | | | | | | | | | | | $i(all_60_0)
% 174.99/26.91 | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | ALPHA: (14227) implies:
% 174.99/26.91 | | | | | | | | | | | | | | | (14228) ~ (all_60_0 = e0)
% 174.99/26.91 | | | | | | | | | | | | | | | (14229) op(e3, e3) = all_60_0
% 174.99/26.91 | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e0, all_60_0, e3, e3,
% 174.99/26.91 | | | | | | | | | | | | | | | simplifying with (14222), (14229) gives:
% 174.99/26.91 | | | | | | | | | | | | | | | (14230) all_60_0 = e0
% 174.99/26.91 | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | REDUCE: (14228), (14230) imply:
% 174.99/26.91 | | | | | | | | | | | | | | | (14231) $false
% 174.99/26.91 | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | CLOSE: (14231) is inconsistent.
% 174.99/26.91 | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | Case 2:
% 174.99/26.91 | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | (14232) ~ (all_60_1 = e0) & op(e2, e2) = all_60_1 &
% 174.99/26.91 | | | | | | | | | | | | | | | $i(all_60_1)
% 174.99/26.91 | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | ALPHA: (14232) implies:
% 174.99/26.91 | | | | | | | | | | | | | | | (14233) ~ (all_60_1 = e0)
% 174.99/26.91 | | | | | | | | | | | | | | | (14234) op(e2, e2) = all_60_1
% 174.99/26.91 | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e0, all_60_1, e2, e2,
% 174.99/26.91 | | | | | | | | | | | | | | | simplifying with (13951), (14234) gives:
% 174.99/26.91 | | | | | | | | | | | | | | | (14235) all_60_1 = e0
% 174.99/26.91 | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | REDUCE: (14233), (14235) imply:
% 174.99/26.91 | | | | | | | | | | | | | | | (14236) $false
% 174.99/26.91 | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | CLOSE: (14236) is inconsistent.
% 174.99/26.91 | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | End of split
% 174.99/26.91 | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | Case 2:
% 174.99/26.91 | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | (14237) ( ~ (all_60_2 = e0) & op(e1, e1) = all_60_2 &
% 174.99/26.91 | | | | | | | | | | | | | | $i(all_60_2)) | ( ~ (all_60_3 = e0) & op(e0, e0)
% 174.99/26.91 | | | | | | | | | | | | | | = all_60_3 & $i(all_60_3))
% 174.99/26.91 | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | BETA: splitting (14237) gives:
% 174.99/26.91 | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | Case 1:
% 174.99/26.91 | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | (14238) ~ (all_60_2 = e0) & op(e1, e1) = all_60_2 &
% 174.99/26.91 | | | | | | | | | | | | | | | $i(all_60_2)
% 174.99/26.91 | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | ALPHA: (14238) implies:
% 174.99/26.91 | | | | | | | | | | | | | | | (14239) ~ (all_60_2 = e0)
% 174.99/26.91 | | | | | | | | | | | | | | | (14240) op(e1, e1) = all_60_2
% 174.99/26.91 | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e0, all_60_2, e1, e1,
% 174.99/26.91 | | | | | | | | | | | | | | | simplifying with (11622), (14240) gives:
% 174.99/26.91 | | | | | | | | | | | | | | | (14241) all_60_2 = e0
% 174.99/26.91 | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | REDUCE: (14239), (14241) imply:
% 174.99/26.91 | | | | | | | | | | | | | | | (14242) $false
% 174.99/26.91 | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | CLOSE: (14242) is inconsistent.
% 174.99/26.91 | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | Case 2:
% 174.99/26.91 | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | (14243) ~ (all_60_3 = e0) & op(e0, e0) = all_60_3 &
% 174.99/26.91 | | | | | | | | | | | | | | | $i(all_60_3)
% 174.99/26.91 | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | ALPHA: (14243) implies:
% 174.99/26.91 | | | | | | | | | | | | | | | (14244) ~ (all_60_3 = e0)
% 174.99/26.91 | | | | | | | | | | | | | | | (14245) op(e0, e0) = all_60_3
% 174.99/26.91 | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_60_3, all_65_49, e0,
% 174.99/26.91 | | | | | | | | | | | | | | | e0, simplifying with (14225), (14245) gives:
% 174.99/26.91 | | | | | | | | | | | | | | | (14246) all_65_49 = all_60_3
% 174.99/26.91 | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e2, all_65_3, e0, e0,
% 174.99/26.91 | | | | | | | | | | | | | | | simplifying with (13376), (14220) gives:
% 174.99/26.91 | | | | | | | | | | | | | | | (14247) all_65_3 = e2
% 174.99/26.91 | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_49, all_65_3, e0,
% 174.99/26.91 | | | | | | | | | | | | | | | e0, simplifying with (14220), (14225) gives:
% 174.99/26.91 | | | | | | | | | | | | | | | (14248) all_65_3 = all_65_49
% 174.99/26.91 | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_8_1, all_65_32, e0,
% 174.99/26.91 | | | | | | | | | | | | | | | e1, simplifying with (11606), (14224) gives:
% 174.99/26.91 | | | | | | | | | | | | | | | (14249) all_65_32 = all_8_1
% 174.99/26.91 | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_20_1, all_65_16, e0,
% 174.99/26.91 | | | | | | | | | | | | | | | e2, simplifying with (13427), (14223) gives:
% 174.99/26.91 | | | | | | | | | | | | | | | (14250) all_65_16 = all_20_1
% 174.99/26.91 | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_12, all_65_0, e0,
% 174.99/26.91 | | | | | | | | | | | | | | | e3, simplifying with (235), (14221) gives:
% 174.99/26.91 | | | | | | | | | | | | | | | (14251) all_65_0 = all_61_12
% 174.99/26.91 | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_36_1, all_65_0, e0,
% 174.99/26.91 | | | | | | | | | | | | | | | e3, simplifying with (14217), (14221) gives:
% 174.99/26.91 | | | | | | | | | | | | | | | (14252) all_65_0 = all_36_1
% 174.99/26.91 | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | COMBINE_EQS: (14251), (14252) imply:
% 174.99/26.91 | | | | | | | | | | | | | | | (14253) all_61_12 = all_36_1
% 174.99/26.91 | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | SIMP: (14253) implies:
% 174.99/26.91 | | | | | | | | | | | | | | | (14254) all_61_12 = all_36_1
% 174.99/26.91 | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | COMBINE_EQS: (14247), (14248) imply:
% 174.99/26.91 | | | | | | | | | | | | | | | (14255) all_65_49 = e2
% 174.99/26.91 | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | SIMP: (14255) implies:
% 174.99/26.91 | | | | | | | | | | | | | | | (14256) all_65_49 = e2
% 174.99/26.91 | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | COMBINE_EQS: (14246), (14256) imply:
% 174.99/26.91 | | | | | | | | | | | | | | | (14257) all_60_3 = e2
% 174.99/26.91 | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | SIMP: (14257) implies:
% 174.99/26.91 | | | | | | | | | | | | | | | (14258) all_60_3 = e2
% 174.99/26.91 | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | COMBINE_EQS: (491), (14254) imply:
% 174.99/26.91 | | | | | | | | | | | | | | | (14259) all_63_3 = all_36_1
% 174.99/26.91 | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | REDUCE: (13405), (14254) imply:
% 174.99/26.91 | | | | | | | | | | | | | | | (14260) ~ (all_36_1 = all_20_1)
% 174.99/26.91 | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | REDUCE: (11653), (14254) imply:
% 174.99/26.91 | | | | | | | | | | | | | | | (14261) ~ (all_36_1 = all_8_1)
% 174.99/26.91 | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | REDUCE: (13364), (14254) imply:
% 174.99/26.91 | | | | | | | | | | | | | | | (14262) ~ (all_36_1 = e2)
% 174.99/26.91 | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | REDUCE: (14219), (14254) imply:
% 174.99/26.91 | | | | | | | | | | | | | | | (14263) ~ (all_36_1 = e0)
% 174.99/26.91 | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | BETA: splitting (157) gives:
% 174.99/26.91 | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | Case 1:
% 174.99/26.91 | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | (14264) ~ (all_58_3 = e1)
% 174.99/26.91 | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | REDUCE: (475), (14264) imply:
% 174.99/26.91 | | | | | | | | | | | | | | | | (14265) ~ (all_52_3 = e1)
% 174.99/26.91 | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | BETA: splitting (160) gives:
% 174.99/26.91 | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.91 | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | (14266) ~ (all_58_2 = e0)
% 174.99/26.91 | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | REDUCE: (478), (14266) imply:
% 174.99/26.91 | | | | | | | | | | | | | | | | | (14267) ~ (all_52_2 = e0)
% 174.99/26.91 | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | BETA: splitting (158) gives:
% 174.99/26.91 | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.91 | | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | | (14268) ~ (all_58_3 = e2)
% 174.99/26.91 | | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | | REDUCE: (475), (14268) imply:
% 174.99/26.91 | | | | | | | | | | | | | | | | | | (14269) ~ (all_52_3 = e2)
% 174.99/26.91 | | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | | BETA: splitting (163) gives:
% 174.99/26.91 | | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.91 | | | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | (14270) ~ (all_58_1 = e0)
% 174.99/26.91 | | | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | REDUCE: (481), (14270) imply:
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | (14271) ~ (all_52_1 = e0)
% 174.99/26.91 | | | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | BETA: splitting (161) gives:
% 174.99/26.91 | | | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | (14272) ~ (all_58_2 = e2)
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | REDUCE: (478), (14272) imply:
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | (14273) ~ (all_52_2 = e2)
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (19), (50), (148), (149), (150), (162),
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | (478), (484), (536), (538), (539), (628), (630),
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | (631), (632), (633), (731), (748), (765), (11622),
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | (13376), (13951), (14267), (14271), (14273) are
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #141.
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | (14274) all_58_1 = e1
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (50), (232), (481), (731), (13367), (13968),
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | | (14274) are inconsistent by sub-proof #139.
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | End of split
% 174.99/26.91 | | | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.91 | | | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | (14275) all_58_3 = e2
% 174.99/26.91 | | | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (475), (14269), (14275) are inconsistent by
% 174.99/26.91 | | | | | | | | | | | | | | | | | | | sub-proof #459.
% 174.99/26.91 | | | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | | End of split
% 174.99/26.91 | | | | | | | | | | | | | | | | | |
% 174.99/26.91 | | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.91 | | | | | | | | | | | | | | | | | |
% 174.99/26.92 | | | | | | | | | | | | | | | | | | (14276) all_58_1 = e0
% 174.99/26.92 | | | | | | | | | | | | | | | | | |
% 174.99/26.92 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (481), (14276) imply:
% 174.99/26.92 | | | | | | | | | | | | | | | | | | (14277) all_52_1 = e0
% 174.99/26.92 | | | | | | | | | | | | | | | | | |
% 174.99/26.92 | | | | | | | | | | | | | | | | | | SIMP: (14277) implies:
% 174.99/26.92 | | | | | | | | | | | | | | | | | | (14278) all_52_1 = e0
% 174.99/26.92 | | | | | | | | | | | | | | | | | |
% 174.99/26.92 | | | | | | | | | | | | | | | | | | REDUCE: (731), (14278) imply:
% 174.99/26.92 | | | | | | | | | | | | | | | | | | (14279) op(e2, e0) = unit
% 174.99/26.92 | | | | | | | | | | | | | | | | | |
% 174.99/26.92 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_20_1, unit, e0, e2,
% 174.99/26.92 | | | | | | | | | | | | | | | | | | simplifying with (13427), (14279) gives:
% 174.99/26.92 | | | | | | | | | | | | | | | | | | (14280) all_20_1 = unit
% 174.99/26.92 | | | | | | | | | | | | | | | | | |
% 174.99/26.92 | | | | | | | | | | | | | | | | | | REDUCE: (14260), (14280) imply:
% 174.99/26.92 | | | | | | | | | | | | | | | | | | (14281) ~ (all_36_1 = unit)
% 174.99/26.92 | | | | | | | | | | | | | | | | | |
% 174.99/26.92 | | | | | | | | | | | | | | | | | | REDUCE: (13406), (14280) imply:
% 174.99/26.92 | | | | | | | | | | | | | | | | | | (14282) ~ (all_8_1 = unit)
% 174.99/26.92 | | | | | | | | | | | | | | | | | |
% 174.99/26.92 | | | | | | | | | | | | | | | | | | SIMP: (14282) implies:
% 174.99/26.92 | | | | | | | | | | | | | | | | | | (14283) ~ (all_8_1 = unit)
% 174.99/26.92 | | | | | | | | | | | | | | | | | |
% 174.99/26.92 | | | | | | | | | | | | | | | | | | REDUCE: (13408), (14280) imply:
% 174.99/26.92 | | | | | | | | | | | | | | | | | | (14284) ~ (unit = e2)
% 174.99/26.92 | | | | | | | | | | | | | | | | | |
% 174.99/26.92 | | | | | | | | | | | | | | | | | | REDUCE: (13947), (14280) imply:
% 174.99/26.92 | | | | | | | | | | | | | | | | | | (14285) ~ (unit = e0)
% 174.99/26.92 | | | | | | | | | | | | | | | | | |
% 174.99/26.92 | | | | | | | | | | | | | | | | | | BETA: splitting (11697) gives:
% 174.99/26.92 | | | | | | | | | | | | | | | | | |
% 174.99/26.92 | | | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.92 | | | | | | | | | | | | | | | | | | |
% 174.99/26.92 | | | | | | | | | | | | | | | | | | | (14286) unit = e2
% 174.99/26.92 | | | | | | | | | | | | | | | | | | |
% 174.99/26.92 | | | | | | | | | | | | | | | | | | | REDUCE: (14284), (14286) imply:
% 174.99/26.92 | | | | | | | | | | | | | | | | | | | (14287) $false
% 174.99/26.92 | | | | | | | | | | | | | | | | | | |
% 174.99/26.92 | | | | | | | | | | | | | | | | | | | CLOSE: (14287) is inconsistent.
% 174.99/26.92 | | | | | | | | | | | | | | | | | | |
% 174.99/26.92 | | | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.92 | | | | | | | | | | | | | | | | | | |
% 174.99/26.92 | | | | | | | | | | | | | | | | | | | (14288) unit = e1 | unit = e0
% 174.99/26.92 | | | | | | | | | | | | | | | | | | |
% 174.99/26.92 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (257), (268), (11645), (11657), (13367), (14259),
% 174.99/26.92 | | | | | | | | | | | | | | | | | | | (14261), (14262), (14263), (14281), (14283),
% 174.99/26.92 | | | | | | | | | | | | | | | | | | | (14285), (14288) are inconsistent by sub-proof
% 174.99/26.92 | | | | | | | | | | | | | | | | | | | #136.
% 174.99/26.92 | | | | | | | | | | | | | | | | | | |
% 174.99/26.92 | | | | | | | | | | | | | | | | | | End of split
% 174.99/26.92 | | | | | | | | | | | | | | | | | |
% 174.99/26.92 | | | | | | | | | | | | | | | | | End of split
% 174.99/26.92 | | | | | | | | | | | | | | | | |
% 174.99/26.92 | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.92 | | | | | | | | | | | | | | | | |
% 174.99/26.92 | | | | | | | | | | | | | | | | | (14289) all_58_3 = e1
% 174.99/26.92 | | | | | | | | | | | | | | | | |
% 174.99/26.92 | | | | | | | | | | | | | | | | | REF_CLOSE: (475), (14265), (14289) are inconsistent by
% 174.99/26.92 | | | | | | | | | | | | | | | | | sub-proof #460.
% 174.99/26.92 | | | | | | | | | | | | | | | | |
% 174.99/26.92 | | | | | | | | | | | | | | | | End of split
% 174.99/26.92 | | | | | | | | | | | | | | | |
% 174.99/26.92 | | | | | | | | | | | | | | | Case 2:
% 174.99/26.92 | | | | | | | | | | | | | | | |
% 174.99/26.92 | | | | | | | | | | | | | | | | (14290) all_58_2 = e0
% 174.99/26.92 | | | | | | | | | | | | | | | |
% 174.99/26.92 | | | | | | | | | | | | | | | | COMBINE_EQS: (478), (14290) imply:
% 174.99/26.92 | | | | | | | | | | | | | | | | (14291) all_52_2 = e0
% 174.99/26.92 | | | | | | | | | | | | | | | |
% 174.99/26.92 | | | | | | | | | | | | | | | | SIMP: (14291) implies:
% 174.99/26.92 | | | | | | | | | | | | | | | | (14292) all_52_2 = e0
% 174.99/26.92 | | | | | | | | | | | | | | | |
% 174.99/26.92 | | | | | | | | | | | | | | | | REDUCE: (748), (14292) imply:
% 174.99/26.92 | | | | | | | | | | | | | | | | (14293) op(e1, e0) = unit
% 174.99/26.92 | | | | | | | | | | | | | | | |
% 174.99/26.92 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_8_1, unit, e0, e1,
% 174.99/26.92 | | | | | | | | | | | | | | | | simplifying with (11606), (14293) gives:
% 174.99/26.92 | | | | | | | | | | | | | | | | (14294) all_8_1 = unit
% 174.99/26.92 | | | | | | | | | | | | | | | |
% 174.99/26.92 | | | | | | | | | | | | | | | | COMBINE_EQS: (11646), (14294) imply:
% 174.99/26.92 | | | | | | | | | | | | | | | | (14295) all_63_11 = unit
% 174.99/26.92 | | | | | | | | | | | | | | | |
% 174.99/26.92 | | | | | | | | | | | | | | | | REDUCE: (14261), (14294) imply:
% 174.99/26.92 | | | | | | | | | | | | | | | | (14296) ~ (all_36_1 = unit)
% 174.99/26.92 | | | | | | | | | | | | | | | |
% 174.99/26.92 | | | | | | | | | | | | | | | | REDUCE: (13406), (14294) imply:
% 174.99/26.92 | | | | | | | | | | | | | | | | (14297) ~ (all_20_1 = unit)
% 174.99/26.92 | | | | | | | | | | | | | | | |
% 174.99/26.92 | | | | | | | | | | | | | | | | REDUCE: (13367), (14294) imply:
% 174.99/26.92 | | | | | | | | | | | | | | | | (14298) ~ (unit = e2)
% 174.99/26.92 | | | | | | | | | | | | | | | |
% 174.99/26.92 | | | | | | | | | | | | | | | | REDUCE: (11657), (14294) imply:
% 174.99/26.92 | | | | | | | | | | | | | | | | (14299) ~ (unit = e0)
% 174.99/26.92 | | | | | | | | | | | | | | | |
% 174.99/26.92 | | | | | | | | | | | | | | | | REF_CLOSE: (258), (260), (268), (11696), (13399), (13408),
% 174.99/26.92 | | | | | | | | | | | | | | | | (13947), (14259), (14260), (14262), (14263),
% 174.99/26.92 | | | | | | | | | | | | | | | | (14295), (14296), (14297), (14298), (14299) are
% 174.99/26.92 | | | | | | | | | | | | | | | | inconsistent by sub-proof #135.
% 174.99/26.92 | | | | | | | | | | | | | | | |
% 174.99/26.92 | | | | | | | | | | | | | | | End of split
% 174.99/26.92 | | | | | | | | | | | | | | |
% 174.99/26.92 | | | | | | | | | | | | | | End of split
% 174.99/26.92 | | | | | | | | | | | | | |
% 174.99/26.92 | | | | | | | | | | | | | End of split
% 174.99/26.92 | | | | | | | | | | | | |
% 174.99/26.92 | | | | | | | | | | | | End of split
% 174.99/26.92 | | | | | | | | | | | |
% 174.99/26.92 | | | | | | | | | | | End of split
% 174.99/26.92 | | | | | | | | | | |
% 174.99/26.92 | | | | | | | | | | End of split
% 174.99/26.92 | | | | | | | | | |
% 174.99/26.92 | | | | | | | | | End of split
% 174.99/26.92 | | | | | | | | |
% 174.99/26.92 | | | | | | | | End of split
% 174.99/26.92 | | | | | | | |
% 174.99/26.92 | | | | | | | Case 2:
% 174.99/26.92 | | | | | | | |
% 174.99/26.92 | | | | | | | | (14300) all_14_2 = e2
% 174.99/26.92 | | | | | | | | (14301) op(e3, e2) = all_14_1 & $i(all_14_1) & ( ~ (all_14_1
% 174.99/26.92 | | | | | | | | = e0) | ( ~ (all_14_0 = e1) & op(e0, e3) =
% 174.99/26.92 | | | | | | | | all_14_0 & $i(all_14_0)))
% 174.99/26.92 | | | | | | | |
% 174.99/26.92 | | | | | | | | ALPHA: (14301) implies:
% 174.99/26.92 | | | | | | | | (14302) op(e3, e2) = all_14_1
% 174.99/26.92 | | | | | | | | (14303) ~ (all_14_1 = e0) | ( ~ (all_14_0 = e1) & op(e0, e3)
% 174.99/26.92 | | | | | | | | = all_14_0 & $i(all_14_0))
% 174.99/26.92 | | | | | | | |
% 174.99/26.92 | | | | | | | | COMBINE_EQS: (561), (14300) imply:
% 174.99/26.92 | | | | | | | | (14304) all_26_2 = e2
% 174.99/26.92 | | | | | | | |
% 174.99/26.92 | | | | | | | | REDUCE: (595), (14300) imply:
% 174.99/26.92 | | | | | | | | (14305) ~ (all_61_2 = e2)
% 174.99/26.92 | | | | | | | |
% 174.99/26.92 | | | | | | | | REDUCE: (597), (14300) imply:
% 174.99/26.92 | | | | | | | | (14306) ~ (all_61_3 = e2)
% 174.99/26.92 | | | | | | | |
% 174.99/26.92 | | | | | | | | REDUCE: (599), (14300) imply:
% 174.99/26.92 | | | | | | | | (14307) ~ (all_61_4 = e2)
% 174.99/26.92 | | | | | | | |
% 174.99/26.92 | | | | | | | | REDUCE: (601), (14300) imply:
% 174.99/26.92 | | | | | | | | (14308) ~ (all_61_8 = e2)
% 174.99/26.92 | | | | | | | |
% 174.99/26.92 | | | | | | | | REDUCE: (603), (14300) imply:
% 174.99/26.92 | | | | | | | | (14309) ~ (all_61_12 = e2)
% 174.99/26.92 | | | | | | | |
% 174.99/26.92 | | | | | | | | REDUCE: (634), (14300) imply:
% 174.99/26.92 | | | | | | | | (14310) op(e2, e3) = all_65_0
% 174.99/26.92 | | | | | | | |
% 174.99/26.92 | | | | | | | | REDUCE: (635), (14300) imply:
% 174.99/26.92 | | | | | | | | (14311) op(e2, e2) = all_65_1
% 174.99/26.92 | | | | | | | |
% 174.99/26.92 | | | | | | | | REDUCE: (636), (14300) imply:
% 174.99/26.92 | | | | | | | | (14312) op(e2, e1) = all_65_2
% 174.99/26.92 | | | | | | | |
% 174.99/26.92 | | | | | | | | REDUCE: (637), (14300) imply:
% 174.99/26.92 | | | | | | | | (14313) op(e2, e0) = all_65_3
% 174.99/26.92 | | | | | | | |
% 174.99/26.92 | | | | | | | | REDUCE: (698), (14300) imply:
% 174.99/26.92 | | | | | | | | (14314) op(e3, e2) = all_65_0
% 174.99/26.92 | | | | | | | |
% 174.99/26.92 | | | | | | | | REDUCE: (67), (14300) imply:
% 174.99/26.92 | | | | | | | | (14315) op(e3, e3) = e2
% 174.99/26.92 | | | | | | | |
% 174.99/26.92 | | | | | | | | REDUCE: (715), (14300) imply:
% 174.99/26.92 | | | | | | | | (14316) op(e2, e2) = all_65_16
% 174.99/26.92 | | | | | | | |
% 174.99/26.92 | | | | | | | | REDUCE: (732), (14300) imply:
% 174.99/26.92 | | | | | | | | (14317) op(e1, e2) = all_65_32
% 174.99/26.92 | | | | | | | |
% 174.99/26.92 | | | | | | | | REDUCE: (749), (14300) imply:
% 174.99/26.92 | | | | | | | | (14318) op(e0, e2) = all_65_49
% 174.99/26.92 | | | | | | | |
% 174.99/26.92 | | | | | | | | BETA: splitting (86) gives:
% 174.99/26.92 | | | | | | | |
% 174.99/26.92 | | | | | | | | Case 1:
% 174.99/26.92 | | | | | | | | |
% 174.99/26.92 | | | | | | | | | (14319) ~ (all_26_2 = e2)
% 174.99/26.92 | | | | | | | | |
% 174.99/26.92 | | | | | | | | | REDUCE: (14304), (14319) imply:
% 174.99/26.92 | | | | | | | | | (14320) $false
% 174.99/26.92 | | | | | | | | |
% 174.99/26.92 | | | | | | | | | CLOSE: (14320) is inconsistent.
% 174.99/26.92 | | | | | | | | |
% 174.99/26.92 | | | | | | | | Case 2:
% 174.99/26.92 | | | | | | | | |
% 174.99/26.92 | | | | | | | | | (14321) op(e3, e2) = all_26_1 & $i(all_26_1) & ( ~
% 174.99/26.92 | | | | | | | | | (all_26_1 = e1) | ( ~ (all_26_0 = e0) & op(e1,
% 174.99/26.92 | | | | | | | | | e3) = all_26_0 & $i(all_26_0)))
% 174.99/26.92 | | | | | | | | |
% 174.99/26.92 | | | | | | | | | ALPHA: (14321) implies:
% 174.99/26.92 | | | | | | | | | (14322) op(e3, e2) = all_26_1
% 174.99/26.92 | | | | | | | | | (14323) ~ (all_26_1 = e1) | ( ~ (all_26_0 = e0) & op(e1,
% 174.99/26.92 | | | | | | | | | e3) = all_26_0 & $i(all_26_0))
% 174.99/26.92 | | | | | | | | |
% 174.99/26.92 | | | | | | | | | GROUND_INST: instantiating (50) with all_61_7, all_65_49, e2,
% 174.99/26.92 | | | | | | | | | e0, simplifying with (225), (14318) gives:
% 174.99/26.92 | | | | | | | | | (14324) all_65_49 = all_61_7
% 174.99/26.92 | | | | | | | | |
% 174.99/26.92 | | | | | | | | | GROUND_INST: instantiating (50) with all_61_6, all_65_32, e2,
% 174.99/26.92 | | | | | | | | | e1, simplifying with (229), (14317) gives:
% 174.99/26.92 | | | | | | | | | (14325) all_65_32 = all_61_6
% 174.99/26.92 | | | | | | | | |
% 174.99/26.92 | | | | | | | | | GROUND_INST: instantiating (50) with all_61_13, all_65_3, e0,
% 174.99/26.92 | | | | | | | | | e2, simplifying with (231), (14313) gives:
% 174.99/26.92 | | | | | | | | | (14326) all_65_3 = all_61_13
% 174.99/26.92 | | | | | | | | |
% 174.99/26.92 | | | | | | | | | GROUND_INST: instantiating (50) with all_61_9, all_65_2, e1,
% 174.99/26.92 | | | | | | | | | e2, simplifying with (232), (14312) gives:
% 174.99/26.92 | | | | | | | | | (14327) all_65_2 = all_61_9
% 174.99/26.92 | | | | | | | | |
% 174.99/26.92 | | | | | | | | | GROUND_INST: instantiating (50) with all_6_2, all_65_1, e2, e2,
% 174.99/26.92 | | | | | | | | | simplifying with (55), (14311) gives:
% 174.99/26.92 | | | | | | | | | (14328) all_65_1 = all_6_2
% 174.99/26.92 | | | | | | | | |
% 174.99/26.92 | | | | | | | | | GROUND_INST: instantiating (50) with all_65_16, all_65_1, e2,
% 174.99/26.92 | | | | | | | | | e2, simplifying with (14311), (14316) gives:
% 174.99/26.92 | | | | | | | | | (14329) all_65_1 = all_65_16
% 174.99/26.92 | | | | | | | | |
% 174.99/26.92 | | | | | | | | | GROUND_INST: instantiating (50) with all_61_1, all_65_0, e3,
% 174.99/26.92 | | | | | | | | | e2, simplifying with (234), (14310) gives:
% 174.99/26.92 | | | | | | | | | (14330) all_65_0 = all_61_1
% 174.99/26.92 | | | | | | | | |
% 174.99/26.92 | | | | | | | | | GROUND_INST: instantiating (50) with all_61_4, all_26_1, e2,
% 174.99/26.92 | | | | | | | | | e3, simplifying with (237), (14322) gives:
% 174.99/26.92 | | | | | | | | | (14331) all_61_4 = all_26_1
% 174.99/26.92 | | | | | | | | |
% 174.99/26.92 | | | | | | | | | GROUND_INST: instantiating (50) with all_61_4, all_65_0, e2,
% 174.99/26.92 | | | | | | | | | e3, simplifying with (237), (14314) gives:
% 174.99/26.92 | | | | | | | | | (14332) all_65_0 = all_61_4
% 174.99/26.92 | | | | | | | | |
% 174.99/26.92 | | | | | | | | | GROUND_INST: instantiating (50) with all_14_1, all_65_0, e2,
% 174.99/26.92 | | | | | | | | | e3, simplifying with (14302), (14314) gives:
% 174.99/26.92 | | | | | | | | | (14333) all_65_0 = all_14_1
% 174.99/26.92 | | | | | | | | |
% 174.99/26.92 | | | | | | | | | COMBINE_EQS: (14332), (14333) imply:
% 174.99/26.92 | | | | | | | | | (14334) all_61_4 = all_14_1
% 174.99/26.92 | | | | | | | | |
% 174.99/26.92 | | | | | | | | | SIMP: (14334) implies:
% 174.99/26.92 | | | | | | | | | (14335) all_61_4 = all_14_1
% 174.99/26.92 | | | | | | | | |
% 174.99/26.92 | | | | | | | | | COMBINE_EQS: (14330), (14333) imply:
% 174.99/26.92 | | | | | | | | | (14336) all_61_1 = all_14_1
% 174.99/26.92 | | | | | | | | |
% 174.99/26.92 | | | | | | | | | SIMP: (14336) implies:
% 174.99/26.92 | | | | | | | | | (14337) all_61_1 = all_14_1
% 174.99/26.92 | | | | | | | | |
% 174.99/26.92 | | | | | | | | | COMBINE_EQS: (14328), (14329) imply:
% 174.99/26.92 | | | | | | | | | (14338) all_65_16 = all_6_2
% 174.99/26.92 | | | | | | | | |
% 174.99/26.92 | | | | | | | | | SIMP: (14338) implies:
% 174.99/26.92 | | | | | | | | | (14339) all_65_16 = all_6_2
% 174.99/26.92 | | | | | | | | |
% 174.99/26.92 | | | | | | | | | COMBINE_EQS: (14331), (14335) imply:
% 174.99/26.92 | | | | | | | | | (14340) all_26_1 = all_14_1
% 174.99/26.92 | | | | | | | | |
% 174.99/26.92 | | | | | | | | | COMBINE_EQS: (493), (14337) imply:
% 174.99/26.92 | | | | | | | | | (14341) all_63_4 = all_14_1
% 174.99/26.92 | | | | | | | | |
% 174.99/26.92 | | | | | | | | | COMBINE_EQS: (488), (14335) imply:
% 174.99/26.92 | | | | | | | | | (14342) all_63_1 = all_14_1
% 174.99/26.92 | | | | | | | | |
% 174.99/26.92 | | | | | | | | | REDUCE: (216), (14337) imply:
% 174.99/26.92 | | | | | | | | | (14343) ~ (all_61_2 = all_14_1)
% 174.99/26.92 | | | | | | | | |
% 174.99/26.92 | | | | | | | | | SIMP: (14343) implies:
% 174.99/26.92 | | | | | | | | | (14344) ~ (all_61_2 = all_14_1)
% 174.99/26.92 | | | | | | | | |
% 174.99/26.92 | | | | | | | | | REDUCE: (215), (14337) imply:
% 174.99/26.92 | | | | | | | | | (14345) ~ (all_61_3 = all_14_1)
% 174.99/26.92 | | | | | | | | |
% 174.99/26.92 | | | | | | | | | SIMP: (14345) implies:
% 174.99/26.92 | | | | | | | | | (14346) ~ (all_61_3 = all_14_1)
% 174.99/26.92 | | | | | | | | |
% 174.99/26.92 | | | | | | | | | REDUCE: (212), (14337) imply:
% 174.99/26.92 | | | | | | | | | (14347) ~ (all_61_13 = all_14_1)
% 174.99/26.92 | | | | | | | | |
% 174.99/26.92 | | | | | | | | | SIMP: (14347) implies:
% 174.99/26.92 | | | | | | | | | (14348) ~ (all_61_13 = all_14_1)
% 174.99/26.92 | | | | | | | | |
% 174.99/26.92 | | | | | | | | | REDUCE: (203), (14335) imply:
% 174.99/26.92 | | | | | | | | | (14349) ~ (all_61_6 = all_14_1)
% 174.99/26.92 | | | | | | | | |
% 174.99/26.92 | | | | | | | | | SIMP: (14349) implies:
% 174.99/26.92 | | | | | | | | | (14350) ~ (all_61_6 = all_14_1)
% 174.99/26.92 | | | | | | | | |
% 174.99/26.92 | | | | | | | | | REDUCE: (202), (14335) imply:
% 174.99/26.92 | | | | | | | | | (14351) ~ (all_61_7 = all_14_1)
% 174.99/26.92 | | | | | | | | |
% 174.99/26.92 | | | | | | | | | SIMP: (14351) implies:
% 174.99/26.92 | | | | | | | | | (14352) ~ (all_61_7 = all_14_1)
% 174.99/26.92 | | | | | | | | |
% 174.99/26.92 | | | | | | | | | REDUCE: (201), (14335) imply:
% 174.99/26.92 | | | | | | | | | (14353) ~ (all_61_8 = all_14_1)
% 174.99/26.92 | | | | | | | | |
% 174.99/26.92 | | | | | | | | | SIMP: (14353) implies:
% 174.99/26.92 | | | | | | | | | (14354) ~ (all_61_8 = all_14_1)
% 174.99/26.92 | | | | | | | | |
% 174.99/26.92 | | | | | | | | | REDUCE: (200), (14335) imply:
% 174.99/26.92 | | | | | | | | | (14355) ~ (all_61_12 = all_14_1)
% 174.99/26.92 | | | | | | | | |
% 174.99/26.92 | | | | | | | | | SIMP: (14355) implies:
% 174.99/26.92 | | | | | | | | | (14356) ~ (all_61_12 = all_14_1)
% 174.99/26.92 | | | | | | | | |
% 174.99/26.92 | | | | | | | | | REDUCE: (607), (14335) imply:
% 174.99/26.92 | | | | | | | | | (14357) ~ (all_14_1 = all_6_2)
% 174.99/26.92 | | | | | | | | |
% 174.99/26.92 | | | | | | | | | REDUCE: (14307), (14335) imply:
% 174.99/26.92 | | | | | | | | | (14358) ~ (all_14_1 = e2)
% 174.99/26.92 | | | | | | | | |
% 174.99/26.92 | | | | | | | | | REDUCE: (650), (14337), (14339) imply:
% 174.99/26.92 | | | | | | | | | (14359) op(all_14_1, e3) = all_6_2
% 174.99/26.92 | | | | | | | | |
% 174.99/26.92 | | | | | | | | | REDUCE: (651), (14337) imply:
% 174.99/26.92 | | | | | | | | | (14360) op(all_14_1, e2) = all_65_17
% 174.99/26.92 | | | | | | | | |
% 174.99/26.92 | | | | | | | | | REDUCE: (652), (14337) imply:
% 174.99/26.92 | | | | | | | | | (14361) op(all_14_1, e1) = all_65_18
% 174.99/26.92 | | | | | | | | |
% 174.99/26.92 | | | | | | | | | REDUCE: (653), (14337) imply:
% 174.99/26.92 | | | | | | | | | (14362) op(all_14_1, e0) = all_65_19
% 174.99/26.92 | | | | | | | | |
% 174.99/26.92 | | | | | | | | | REDUCE: (666), (14325) imply:
% 174.99/26.92 | | | | | | | | | (14363) op(all_61_2, e3) = all_61_6
% 174.99/26.92 | | | | | | | | |
% 174.99/26.92 | | | | | | | | | REDUCE: (682), (14324) imply:
% 174.99/26.92 | | | | | | | | | (14364) op(all_61_3, e3) = all_61_7
% 174.99/26.92 | | | | | | | | |
% 174.99/26.92 | | | | | | | | | REDUCE: (638), (14335) imply:
% 174.99/26.92 | | | | | | | | | (14365) op(all_14_1, e3) = all_65_4
% 174.99/26.92 | | | | | | | | |
% 174.99/26.92 | | | | | | | | | REDUCE: (639), (14335) imply:
% 174.99/26.92 | | | | | | | | | (14366) op(all_14_1, e2) = all_65_5
% 174.99/26.92 | | | | | | | | |
% 174.99/26.92 | | | | | | | | | REDUCE: (640), (14335) imply:
% 174.99/26.92 | | | | | | | | | (14367) op(all_14_1, e1) = all_65_6
% 174.99/26.92 | | | | | | | | |
% 174.99/26.92 | | | | | | | | | REDUCE: (641), (14335) imply:
% 174.99/26.92 | | | | | | | | | (14368) op(all_14_1, e0) = all_65_7
% 174.99/26.92 | | | | | | | | |
% 174.99/26.92 | | | | | | | | | REDUCE: (702), (14337) imply:
% 174.99/26.92 | | | | | | | | | (14369) op(e3, all_14_1) = all_65_4
% 174.99/26.92 | | | | | | | | |
% 174.99/26.92 | | | | | | | | | REDUCE: (700), (14327) imply:
% 174.99/26.92 | | | | | | | | | (14370) op(e3, all_61_8) = all_61_9
% 174.99/26.92 | | | | | | | | |
% 174.99/26.92 | | | | | | | | | REDUCE: (701), (14326) imply:
% 174.99/26.92 | | | | | | | | | (14371) op(e3, all_61_12) = all_61_13
% 174.99/26.92 | | | | | | | | |
% 174.99/26.92 | | | | | | | | | REDUCE: (719), (14337) imply:
% 174.99/26.92 | | | | | | | | | (14372) op(e2, all_14_1) = all_65_20
% 174.99/26.92 | | | | | | | | |
% 174.99/26.92 | | | | | | | | | REDUCE: (716), (14335) imply:
% 174.99/26.92 | | | | | | | | | (14373) op(e2, all_14_1) = all_65_17
% 174.99/26.92 | | | | | | | | |
% 174.99/26.92 | | | | | | | | | REDUCE: (736), (14337) imply:
% 174.99/26.92 | | | | | | | | | (14374) op(e1, all_14_1) = all_65_36
% 174.99/26.92 | | | | | | | | |
% 174.99/26.92 | | | | | | | | | REDUCE: (733), (14335) imply:
% 174.99/26.92 | | | | | | | | | (14375) op(e1, all_14_1) = all_65_33
% 174.99/26.92 | | | | | | | | |
% 174.99/26.92 | | | | | | | | | REDUCE: (753), (14337) imply:
% 174.99/26.92 | | | | | | | | | (14376) op(e0, all_14_1) = all_65_57
% 174.99/26.92 | | | | | | | | |
% 174.99/26.92 | | | | | | | | | REDUCE: (750), (14335) imply:
% 174.99/26.92 | | | | | | | | | (14377) op(e0, all_14_1) = all_65_51
% 174.99/26.92 | | | | | | | | |
% 174.99/26.92 | | | | | | | | | GROUND_INST: instantiating (50) with all_65_57, all_65_51,
% 174.99/26.92 | | | | | | | | | all_14_1, e0, simplifying with (14376), (14377)
% 174.99/26.92 | | | | | | | | | gives:
% 174.99/26.92 | | | | | | | | | (14378) all_65_51 = all_65_57
% 174.99/26.92 | | | | | | | | |
% 174.99/26.92 | | | | | | | | | GROUND_INST: instantiating (50) with all_65_36, all_65_33,
% 174.99/26.92 | | | | | | | | | all_14_1, e1, simplifying with (14374), (14375)
% 174.99/26.92 | | | | | | | | | gives:
% 174.99/26.92 | | | | | | | | | (14379) all_65_33 = all_65_36
% 174.99/26.92 | | | | | | | | |
% 174.99/26.92 | | | | | | | | | GROUND_INST: instantiating (50) with all_65_20, all_65_17,
% 174.99/26.92 | | | | | | | | | all_14_1, e2, simplifying with (14372), (14373)
% 174.99/26.92 | | | | | | | | | gives:
% 174.99/26.92 | | | | | | | | | (14380) all_65_17 = all_65_20
% 174.99/26.92 | | | | | | | | |
% 174.99/26.92 | | | | | | | | | GROUND_INST: instantiating (50) with all_65_19, all_65_7, e0,
% 174.99/26.92 | | | | | | | | | all_14_1, simplifying with (14362), (14368) gives:
% 174.99/26.92 | | | | | | | | | (14381) all_65_7 = all_65_19
% 174.99/26.92 | | | | | | | | |
% 174.99/26.92 | | | | | | | | | GROUND_INST: instantiating (50) with all_65_18, all_65_6, e1,
% 174.99/26.92 | | | | | | | | | all_14_1, simplifying with (14361), (14367) gives:
% 174.99/26.92 | | | | | | | | | (14382) all_65_6 = all_65_18
% 174.99/26.92 | | | | | | | | |
% 174.99/26.92 | | | | | | | | | GROUND_INST: instantiating (50) with all_65_17, all_65_5, e2,
% 174.99/26.92 | | | | | | | | | all_14_1, simplifying with (14360), (14366) gives:
% 174.99/26.92 | | | | | | | | | (14383) all_65_5 = all_65_17
% 174.99/26.92 | | | | | | | | |
% 174.99/26.92 | | | | | | | | | GROUND_INST: instantiating (50) with all_6_2, all_65_4, e3,
% 174.99/26.92 | | | | | | | | | all_14_1, simplifying with (14359), (14365) gives:
% 174.99/26.92 | | | | | | | | | (14384) all_65_4 = all_6_2
% 174.99/26.92 | | | | | | | | |
% 174.99/26.92 | | | | | | | | | COMBINE_EQS: (14380), (14383) imply:
% 174.99/26.92 | | | | | | | | | (14385) all_65_5 = all_65_20
% 174.99/26.92 | | | | | | | | |
% 174.99/26.92 | | | | | | | | | REDUCE: (683), (14378) imply:
% 174.99/26.92 | | | | | | | | | (14386) op(all_61_3, e2) = all_65_57
% 174.99/26.92 | | | | | | | | |
% 174.99/26.92 | | | | | | | | | REDUCE: (14360), (14380) imply:
% 174.99/26.92 | | | | | | | | | (14387) op(all_14_1, e2) = all_65_20
% 174.99/26.92 | | | | | | | | |
% 174.99/26.92 | | | | | | | | | REDUCE: (704), (14382) imply:
% 174.99/26.92 | | | | | | | | | (14388) op(e3, all_61_9) = all_65_18
% 174.99/26.92 | | | | | | | | |
% 174.99/26.92 | | | | | | | | | REDUCE: (705), (14381) imply:
% 174.99/26.92 | | | | | | | | | (14389) op(e3, all_61_13) = all_65_19
% 174.99/26.92 | | | | | | | | |
% 174.99/26.92 | | | | | | | | | REDUCE: (14369), (14384) imply:
% 174.99/26.92 | | | | | | | | | (14390) op(e3, all_14_1) = all_6_2
% 174.99/26.92 | | | | | | | | |
% 174.99/26.92 | | | | | | | | | REDUCE: (703), (14385) imply:
% 174.99/26.92 | | | | | | | | | (14391) op(e3, all_6_2) = all_65_20
% 174.99/26.92 | | | | | | | | |
% 174.99/26.92 | | | | | | | | | BETA: splitting (77) gives:
% 174.99/26.92 | | | | | | | | |
% 174.99/26.92 | | | | | | | | | Case 1:
% 174.99/26.92 | | | | | | | | | |
% 174.99/26.92 | | | | | | | | | | (14392) ~ (all_20_2 = e2)
% 174.99/26.92 | | | | | | | | | |
% 174.99/26.92 | | | | | | | | | | BETA: splitting (80) gives:
% 174.99/26.92 | | | | | | | | | |
% 174.99/26.92 | | | | | | | | | | Case 1:
% 174.99/26.92 | | | | | | | | | | |
% 174.99/26.92 | | | | | | | | | | | (14393) ~ (all_22_2 = e0)
% 174.99/26.92 | | | | | | | | | | |
% 174.99/26.92 | | | | | | | | | | | REDUCE: (449), (14393) imply:
% 174.99/26.92 | | | | | | | | | | | (14394) ~ (all_6_2 = e0)
% 174.99/26.92 | | | | | | | | | | |
% 174.99/26.92 | | | | | | | | | | | BETA: splitting (266) gives:
% 174.99/26.92 | | | | | | | | | | |
% 174.99/26.92 | | | | | | | | | | | Case 1:
% 174.99/26.92 | | | | | | | | | | | |
% 174.99/26.92 | | | | | | | | | | | | (14395) all_63_5 = e3
% 174.99/26.92 | | | | | | | | | | | |
% 174.99/26.92 | | | | | | | | | | | | COMBINE_EQS: (587), (14395) imply:
% 174.99/26.92 | | | | | | | | | | | | (14396) all_6_2 = e3
% 174.99/26.92 | | | | | | | | | | | |
% 174.99/26.92 | | | | | | | | | | | | REDUCE: (767), (14396) imply:
% 174.99/26.92 | | | | | | | | | | | | (14397) $false
% 174.99/26.92 | | | | | | | | | | | |
% 174.99/26.92 | | | | | | | | | | | | CLOSE: (14397) is inconsistent.
% 174.99/26.92 | | | | | | | | | | | |
% 174.99/26.92 | | | | | | | | | | | Case 2:
% 174.99/26.92 | | | | | | | | | | | |
% 174.99/26.92 | | | | | | | | | | | | (14398) all_63_5 = e2 | all_63_5 = e1 | all_63_5 = e0
% 174.99/26.92 | | | | | | | | | | | |
% 174.99/26.92 | | | | | | | | | | | | BETA: splitting (14398) gives:
% 174.99/26.92 | | | | | | | | | | | |
% 174.99/26.92 | | | | | | | | | | | | Case 1:
% 174.99/26.92 | | | | | | | | | | | | |
% 174.99/26.92 | | | | | | | | | | | | | (14399) all_63_5 = e2
% 174.99/26.92 | | | | | | | | | | | | |
% 174.99/26.92 | | | | | | | | | | | | | COMBINE_EQS: (587), (14399) imply:
% 174.99/26.92 | | | | | | | | | | | | | (14400) all_6_2 = e2
% 174.99/26.92 | | | | | | | | | | | | |
% 174.99/26.92 | | | | | | | | | | | | | REDUCE: (609), (14400) imply:
% 174.99/26.92 | | | | | | | | | | | | | (14401) ~ (all_61_6 = e2)
% 174.99/26.92 | | | | | | | | | | | | |
% 174.99/26.92 | | | | | | | | | | | | | REDUCE: (611), (14400) imply:
% 174.99/26.92 | | | | | | | | | | | | | (14402) ~ (all_61_7 = e2)
% 174.99/26.92 | | | | | | | | | | | | |
% 174.99/26.92 | | | | | | | | | | | | | REDUCE: (613), (14400) imply:
% 174.99/26.92 | | | | | | | | | | | | | (14403) ~ (all_61_9 = e2)
% 174.99/26.92 | | | | | | | | | | | | |
% 174.99/26.92 | | | | | | | | | | | | | REDUCE: (615), (14400) imply:
% 174.99/26.92 | | | | | | | | | | | | | (14404) ~ (all_61_13 = e2)
% 174.99/26.92 | | | | | | | | | | | | |
% 174.99/26.92 | | | | | | | | | | | | | REDUCE: (14359), (14400) imply:
% 174.99/26.92 | | | | | | | | | | | | | (14405) op(all_14_1, e3) = e2
% 174.99/26.92 | | | | | | | | | | | | |
% 174.99/26.92 | | | | | | | | | | | | | REDUCE: (654), (14400) imply:
% 174.99/26.92 | | | | | | | | | | | | | (14406) op(e2, e3) = all_65_20
% 174.99/26.92 | | | | | | | | | | | | |
% 174.99/26.92 | | | | | | | | | | | | | REDUCE: (656), (14400) imply:
% 174.99/26.92 | | | | | | | | | | | | | (14407) op(e2, e1) = all_65_22
% 174.99/26.92 | | | | | | | | | | | | |
% 174.99/26.92 | | | | | | | | | | | | | REDUCE: (657), (14400) imply:
% 174.99/26.92 | | | | | | | | | | | | | (14408) op(e2, e0) = all_65_23
% 174.99/26.92 | | | | | | | | | | | | |
% 174.99/26.92 | | | | | | | | | | | | | REDUCE: (14390), (14400) imply:
% 174.99/26.92 | | | | | | | | | | | | | (14409) op(e3, all_14_1) = e2
% 174.99/26.92 | | | | | | | | | | | | |
% 174.99/26.92 | | | | | | | | | | | | | REDUCE: (14391), (14400) imply:
% 174.99/26.92 | | | | | | | | | | | | | (14410) op(e3, e2) = all_65_20
% 174.99/26.92 | | | | | | | | | | | | |
% 174.99/26.92 | | | | | | | | | | | | | REDUCE: (737), (14400) imply:
% 174.99/26.92 | | | | | | | | | | | | | (14411) op(e1, e2) = all_65_37
% 174.99/26.92 | | | | | | | | | | | | |
% 174.99/26.92 | | | | | | | | | | | | | REDUCE: (754), (14400) imply:
% 174.99/26.92 | | | | | | | | | | | | | (14412) op(e0, e2) = all_65_59
% 174.99/26.92 | | | | | | | | | | | | |
% 174.99/26.92 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_7, all_65_59, e2,
% 174.99/26.92 | | | | | | | | | | | | | e0, simplifying with (225), (14412) gives:
% 174.99/26.92 | | | | | | | | | | | | | (14413) all_65_59 = all_61_7
% 174.99/26.92 | | | | | | | | | | | | |
% 174.99/26.92 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_6, all_65_37, e2,
% 174.99/26.92 | | | | | | | | | | | | | e1, simplifying with (229), (14411) gives:
% 174.99/26.92 | | | | | | | | | | | | | (14414) all_65_37 = all_61_6
% 174.99/26.92 | | | | | | | | | | | | |
% 174.99/26.92 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_13, all_65_23, e0,
% 174.99/26.92 | | | | | | | | | | | | | e2, simplifying with (231), (14408) gives:
% 174.99/26.92 | | | | | | | | | | | | | (14415) all_65_23 = all_61_13
% 174.99/26.92 | | | | | | | | | | | | |
% 174.99/26.92 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_9, all_65_22, e1,
% 174.99/26.92 | | | | | | | | | | | | | e2, simplifying with (232), (14407) gives:
% 174.99/26.92 | | | | | | | | | | | | | (14416) all_65_22 = all_61_9
% 174.99/26.92 | | | | | | | | | | | | |
% 174.99/26.92 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_14_1, all_65_20, e2,
% 174.99/26.92 | | | | | | | | | | | | | e3, simplifying with (14302), (14410) gives:
% 174.99/26.92 | | | | | | | | | | | | | (14417) all_65_20 = all_14_1
% 174.99/26.92 | | | | | | | | | | | | |
% 174.99/26.92 | | | | | | | | | | | | | REDUCE: (687), (14413) imply:
% 174.99/26.92 | | | | | | | | | | | | | (14418) op(all_61_7, e2) = all_61_7
% 174.99/26.92 | | | | | | | | | | | | |
% 174.99/26.92 | | | | | | | | | | | | | REDUCE: (14406), (14417) imply:
% 174.99/26.92 | | | | | | | | | | | | | (14419) op(e2, e3) = all_14_1
% 174.99/26.92 | | | | | | | | | | | | |
% 174.99/26.92 | | | | | | | | | | | | | BETA: splitting (89) gives:
% 174.99/26.92 | | | | | | | | | | | | |
% 174.99/26.92 | | | | | | | | | | | | | Case 1:
% 174.99/26.92 | | | | | | | | | | | | | |
% 174.99/26.92 | | | | | | | | | | | | | | (14420) ~ (all_28_2 = e3)
% 174.99/26.92 | | | | | | | | | | | | | |
% 174.99/26.92 | | | | | | | | | | | | | | REDUCE: (563), (14420) imply:
% 174.99/26.92 | | | | | | | | | | | | | | (14421) ~ (all_20_2 = e3)
% 174.99/26.92 | | | | | | | | | | | | | |
% 174.99/26.92 | | | | | | | | | | | | | | BETA: splitting (110) gives:
% 174.99/26.92 | | | | | | | | | | | | | |
% 174.99/26.92 | | | | | | | | | | | | | | Case 1:
% 174.99/26.92 | | | | | | | | | | | | | | |
% 174.99/26.92 | | | | | | | | | | | | | | | (14422) ~ (all_42_2 = e1)
% 174.99/26.92 | | | | | | | | | | | | | | |
% 174.99/26.92 | | | | | | | | | | | | | | | REDUCE: (532), (14422) imply:
% 174.99/26.93 | | | | | | | | | | | | | | | (14423) ~ (all_20_2 = e1)
% 174.99/26.93 | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | BETA: splitting (256) gives:
% 174.99/26.93 | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | Case 1:
% 174.99/26.93 | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | (14424) all_63_15 = e3
% 174.99/26.93 | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | REF_CLOSE: (422), (14421), (14424) are inconsistent by
% 174.99/26.93 | | | | | | | | | | | | | | | | sub-proof #501.
% 174.99/26.93 | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | Case 2:
% 174.99/26.93 | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | (14425) all_63_15 = e2 | all_63_15 = e1 | all_63_15 = e0
% 174.99/26.93 | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | BETA: splitting (14425) gives:
% 174.99/26.93 | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.93 | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | (14426) all_63_15 = e2
% 174.99/26.93 | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | REF_CLOSE: (422), (14392), (14426) are inconsistent by
% 174.99/26.93 | | | | | | | | | | | | | | | | | sub-proof #500.
% 174.99/26.93 | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.93 | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | (14427) all_63_15 = e1 | all_63_15 = e0
% 174.99/26.93 | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | BETA: splitting (14427) gives:
% 174.99/26.93 | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.93 | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | (14428) all_63_15 = e1
% 174.99/26.93 | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | REF_CLOSE: (422), (14423), (14428) are inconsistent by
% 174.99/26.93 | | | | | | | | | | | | | | | | | | sub-proof #499.
% 174.99/26.93 | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.93 | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | (14429) all_63_15 = e0
% 174.99/26.93 | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (422), (14429) imply:
% 174.99/26.93 | | | | | | | | | | | | | | | | | | (14430) all_20_2 = e0
% 174.99/26.93 | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | SIMP: (14430) implies:
% 174.99/26.93 | | | | | | | | | | | | | | | | | | (14431) all_20_2 = e0
% 174.99/26.93 | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | REDUCE: (606), (14431) imply:
% 174.99/26.93 | | | | | | | | | | | | | | | | | | (14432) ~ (all_61_3 = e0)
% 174.99/26.93 | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | REDUCE: (617), (14431) imply:
% 174.99/26.93 | | | | | | | | | | | | | | | | | | (14433) ~ (all_61_7 = e0)
% 174.99/26.93 | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | REDUCE: (625), (14431) imply:
% 174.99/26.93 | | | | | | | | | | | | | | | | | | (14434) ~ (all_61_12 = e0)
% 174.99/26.93 | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | REDUCE: (626), (14431) imply:
% 174.99/26.93 | | | | | | | | | | | | | | | | | | (14435) ~ (all_61_13 = e0)
% 174.99/26.93 | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | REDUCE: (11662), (14431) imply:
% 174.99/26.93 | | | | | | | | | | | | | | | | | | (14436) op(all_8_1, e1) = e0
% 174.99/26.93 | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | REDUCE: (730), (14431) imply:
% 174.99/26.93 | | | | | | | | | | | | | | | | | | (14437) op(e2, e0) = all_65_31
% 174.99/26.93 | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | REDUCE: (11689), (14431) imply:
% 174.99/26.93 | | | | | | | | | | | | | | | | | | (14438) op(e1, e0) = all_65_77
% 174.99/26.93 | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_8_1, all_65_77, e0,
% 174.99/26.93 | | | | | | | | | | | | | | | | | | e1, simplifying with (11606), (14438) gives:
% 174.99/26.93 | | | | | | | | | | | | | | | | | | (14439) all_65_77 = all_8_1
% 174.99/26.93 | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_13, all_65_31, e0,
% 174.99/26.93 | | | | | | | | | | | | | | | | | | e2, simplifying with (231), (14437) gives:
% 174.99/26.93 | | | | | | | | | | | | | | | | | | (14440) all_65_31 = all_61_13
% 174.99/26.93 | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | BETA: splitting (157) gives:
% 174.99/26.93 | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.93 | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | (14441) ~ (all_58_3 = e1)
% 174.99/26.93 | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | REDUCE: (475), (14441) imply:
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | (14442) ~ (all_52_3 = e1)
% 174.99/26.93 | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | BETA: splitting (160) gives:
% 174.99/26.93 | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | (14443) ~ (all_58_2 = e0)
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | REDUCE: (478), (14443) imply:
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | (14444) ~ (all_52_2 = e0)
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | BETA: splitting (167) gives:
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | (14445) ~ (all_58_0 = e1)
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | REDUCE: (484), (14445) imply:
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | (14446) ~ (all_52_0 = e1)
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (162) gives:
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | (14447) ~ (all_58_2 = e3)
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (478), (14447) imply:
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | (14448) ~ (all_52_2 = e3)
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (50), (149), (161), (229), (231), (232),
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | (478), (481), (538), (731), (738), (748), (11613),
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | (11622), (11659), (11673), (11697), (14403),
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | (14404), (14444), (14448) are inconsistent by
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | sub-proof #171.
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | (14449) all_58_0 = e1
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (484), (14446), (14449) are inconsistent by
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | sub-proof #470.
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | End of split
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | (14450) all_58_2 = e3
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | (14451) all_58_0 = e1
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (484), (14451) imply:
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | (14452) all_52_0 = e1
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | SIMP: (14452) implies:
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | (14453) all_52_0 = e1
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (478), (14450) imply:
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | (14454) all_52_2 = e3
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | REDUCE: (714), (14453) imply:
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | (14455) op(e3, e1) = unit
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | REDUCE: (748), (14454) imply:
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | (14456) op(e1, e3) = unit
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_2, unit, e3, e1,
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | simplifying with (230), (14456) gives:
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | (14457) all_61_2 = unit
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_8, unit, e1, e3,
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | simplifying with (236), (14455) gives:
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | (14458) all_61_8 = unit
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | REDUCE: (211), (14457) imply:
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | (14459) ~ (all_61_3 = unit)
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | SIMP: (14459) implies:
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | (14460) ~ (all_61_3 = unit)
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | REDUCE: (210), (14457) imply:
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | (14461) ~ (all_61_6 = unit)
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | SIMP: (14461) implies:
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | (14462) ~ (all_61_6 = unit)
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | REDUCE: (190), (14458) imply:
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | (14463) ~ (all_61_9 = unit)
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | SIMP: (14463) implies:
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | (14464) ~ (all_61_9 = unit)
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | REDUCE: (187), (14458) imply:
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | (14465) ~ (all_61_12 = unit)
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | SIMP: (14465) implies:
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | (14466) ~ (all_61_12 = unit)
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | REDUCE: (14308), (14458) imply:
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | (14467) ~ (unit = e2)
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | REDUCE: (11612), (14458) imply:
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | (14468) ~ (unit = e0)
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | REDUCE: (11658), (14458) imply:
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | (14469) op(unit, e1) = all_61_12
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | REDUCE: (734), (14458) imply:
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | (14470) op(e1, unit) = all_65_34
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11697) gives:
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | (14471) unit = e2
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14467), (14471) imply:
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | (14472) $false
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (14472) is inconsistent.
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | (14473) unit = e1 | unit = e0
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14473) gives:
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | (14474) unit = e1
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14460), (14474) imply:
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | (14475) ~ (all_61_3 = e1)
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14462), (14474) imply:
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | (14476) ~ (all_61_6 = e1)
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14464), (14474) imply:
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | (14477) ~ (all_61_9 = e1)
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14466), (14474) imply:
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | (14478) ~ (all_61_12 = e1)
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14469), (14474) imply:
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | (14479) op(e1, e1) = all_61_12
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14470), (14474) imply:
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | (14480) op(e1, e1) = all_65_34
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4), (14474) imply:
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | (14481) op(e1, e1) = e1
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (259) gives:
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | (14482) all_63_12 = e3
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (506), (14482) imply:
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | (14483) all_61_3 = e3
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (207), (14483) imply:
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | (14484) ~ (all_61_7 = e3)
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14484) implies:
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | (14485) ~ (all_61_7 = e3)
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (14483) imply:
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | (14486) op(e3, e0) = all_65_55
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (265) gives:
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | (14487) all_63_6 = e3
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (497), (14487) imply:
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | (14488) all_61_9 = e3
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (184), (14488) imply:
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | (14489) ~ (all_61_13 = e3)
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14489) implies:
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | (14490) ~ (all_61_13 = e3)
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11686), (14488) imply:
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | (14491) op(e3, e0) = all_65_30
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (755), (14488) imply:
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | (14492) op(e0, e3) = all_65_61
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (264) gives:
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | (14493) all_63_7 = e3
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (498), (14493) imply:
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | (14494) all_61_13 = e3
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14490), (14494) imply:
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | (14495) $false
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (14495) is inconsistent.
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | (14496) all_63_7 = e2 | all_63_7 = e1 | all_63_7 = e0
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14496) gives:
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | (14497) all_63_7 = e2
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (498), (14497) imply:
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | (14498) all_61_13 = e2
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14404), (14498) imply:
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | (14499) $false
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (14499) is inconsistent.
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | (14500) all_63_7 = e1 | all_63_7 = e0
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (258) gives:
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14501) all_63_13 = e3
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (508), (14501) imply:
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14502) all_61_7 = e3
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14485), (14502) imply:
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14503) $false
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (14503) is inconsistent.
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14504) all_63_13 = e2 | all_63_13 = e1 | all_63_13 = e0
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (262) gives:
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14505) all_63_9 = e3
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (501), (14505) imply:
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14506) all_61_6 = e3
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (673), (14506) imply:
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14507) op(e3, e0) = all_65_39
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (758), (14506) imply:
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14508) op(e0, e3) = all_65_67
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (268) gives:
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14509) all_63_3 = e3
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (491), (14509) imply:
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14510) all_61_12 = e3
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14510) implies:
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14511) all_61_12 = e3
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14356), (14511) imply:
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14512) ~ (all_14_1 = e3)
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14512) implies:
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14513) ~ (all_14_1 = e3)
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14479), (14511) imply:
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14514) op(e1, e1) = e3
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (752), (14511) imply:
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14515) op(e0, e3) = all_65_55
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (270) gives:
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14516) all_63_1 = e3
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (14342), (14516) imply:
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14517) all_14_1 = e3
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14513), (14517) imply:
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14518) $false
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (14518) is inconsistent.
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14519) all_63_1 = e2 | all_63_1 = e1 | all_63_1 = e0
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14519) gives:
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14520) all_63_1 = e2
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (14342), (14520) imply:
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14521) all_14_1 = e2
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14358), (14521) imply:
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14522) $false
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (14522) is inconsistent.
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14523) all_63_1 = e1 | all_63_1 = e0
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14500) gives:
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14524) all_63_7 = e1
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (498), (14524) imply:
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14525) all_61_13 = e1
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14525) implies:
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14526) all_61_13 = e1
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (664), (14526) imply:
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14527) op(e1, e1) = all_65_30
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (739), (14526) imply:
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14528) op(e1, e1) = all_65_39
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14504) gives:
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14529) all_63_13 = e2
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (508), (14402), (14529) are inconsistent by
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #525.
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14530) all_63_13 = e1 | all_63_13 = e0
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14530) gives:
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14531) all_63_13 = e1
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (508), (14531) imply:
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14532) all_61_7 = e1
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14532) implies:
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14533) all_61_7 = e1
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14352), (14533) imply:
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14534) ~ (all_14_1 = e1)
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14534) implies:
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14535) ~ (all_14_1 = e1)
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (688), (14533) imply:
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14536) op(e1, e1) = all_65_61
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14523) gives:
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14537) all_63_1 = e1
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (14342), (14537) imply:
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14538) all_14_1 = e1
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14535), (14538) imply:
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14539) $false
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (14539) is inconsistent.
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14540) all_63_1 = e0
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (14342), (14540) imply:
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14541) all_14_1 = e0
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14535), (14541) imply:
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14542) ~ (e1 = e0)
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14405), (14541) imply:
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14543) op(e0, e3) = e2
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14409), (14541) imply:
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14544) op(e3, e0) = e2
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14303) gives:
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14545) ~ (all_14_1 = e0)
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14541), (14545) imply:
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14546) $false
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (14546) is inconsistent.
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14547) ~ (all_14_0 = e1) & op(e0, e3) = all_14_0 &
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_14_0)
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14547) implies:
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14548) op(e0, e3) = all_14_0
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_14_0, all_65_67, e3,
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, simplifying with (14508), (14548) gives:
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14549) all_65_67 = all_14_0
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_14_0, all_65_61, e3,
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, simplifying with (14492), (14548) gives:
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14550) all_65_61 = all_14_0
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e2, all_65_61, e3, e0,
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (14492), (14543) gives:
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14551) all_65_61 = e2
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_67, all_65_55, e3,
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, simplifying with (14508), (14515) gives:
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14552) all_65_55 = all_65_67
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e3, all_65_61, e1, e1,
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (14514), (14536) gives:
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14553) all_65_61 = e3
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_39, all_65_34, e1,
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, simplifying with (14480), (14528) gives:
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14554) all_65_34 = all_65_39
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e1, all_65_34, e1, e1,
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (14480), (14481) gives:
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14555) all_65_34 = e1
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e0, all_65_30, e1, e1,
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (11622), (14527) gives:
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14556) all_65_30 = e0
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_55, all_65_39, e0,
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, simplifying with (14486), (14507) gives:
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14557) all_65_39 = all_65_55
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e2, all_65_30, e0, e3,
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (14491), (14544) gives:
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14558) all_65_30 = e2
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (14556), (14558) imply:
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14559) e2 = e0
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14559) implies:
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14560) e2 = e0
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (14554), (14555) imply:
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14561) all_65_39 = e1
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14561) implies:
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14562) all_65_39 = e1
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (14557), (14562) imply:
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14563) all_65_55 = e1
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14563) implies:
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14564) all_65_55 = e1
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (14552), (14564) imply:
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14565) all_65_67 = e1
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14565) implies:
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14566) all_65_67 = e1
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (14551), (14553) imply:
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14567) e3 = e2
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (14550), (14553) imply:
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14568) all_14_0 = e3
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14568) implies:
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14569) all_14_0 = e3
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (14549), (14566) imply:
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14570) all_14_0 = e1
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14570) implies:
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14571) all_14_0 = e1
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (14569), (14571) imply:
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14572) e3 = e1
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14572) implies:
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14573) e3 = e1
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (14567), (14573) imply:
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14574) e2 = e1
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (14560), (14574) are inconsistent by
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #397.
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14575) all_63_13 = e0
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (508), (14433), (14575) are inconsistent by
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #523.
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14576) all_63_7 = e0
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (498), (14435), (14576) are inconsistent by
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #276.
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14577) all_63_3 = e2 | all_63_3 = e1 | all_63_3 = e0
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (491), (14309), (14434), (14478), (14577) are
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #489.
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14578) all_63_9 = e2 | all_63_9 = e1 | all_63_9 = e0
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (501), (11611), (14401), (14476), (14578) are
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #178.
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | (14579) all_63_6 = e2 | all_63_6 = e1 | all_63_6 = e0
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (497), (11613), (14403), (14477), (14579) are
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #410.
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | (14580) all_63_12 = e2 | all_63_12 = e1 | all_63_12 = e0
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (506), (14306), (14432), (14475), (14580) are
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #330.
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | (14581) ~ (unit = e1)
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14468), (14473), (14581) are inconsistent by
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #419.
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | | End of split
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | End of split
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | (14582) all_58_3 = e1
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (475), (14442), (14582) are inconsistent by
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | | sub-proof #460.
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | End of split
% 174.99/26.93 | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.93 | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | (14583) all_58_3 = e1
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | (14584) all_58_2 = e0
% 174.99/26.93 | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (478), (14584) imply:
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | (14585) all_52_2 = e0
% 174.99/26.93 | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (475), (14583) imply:
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | (14586) all_52_3 = e1
% 174.99/26.93 | | | | | | | | | | | | | | | | | | |
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (50), (633), (748), (11606), (14436),
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | (14585), (14586) are inconsistent by sub-proof
% 174.99/26.93 | | | | | | | | | | | | | | | | | | | #167.
% 174.99/26.94 | | | | | | | | | | | | | | | | | | |
% 174.99/26.94 | | | | | | | | | | | | | | | | | | End of split
% 174.99/26.94 | | | | | | | | | | | | | | | | | |
% 174.99/26.94 | | | | | | | | | | | | | | | | | End of split
% 174.99/26.94 | | | | | | | | | | | | | | | | |
% 174.99/26.94 | | | | | | | | | | | | | | | | End of split
% 174.99/26.94 | | | | | | | | | | | | | | | |
% 174.99/26.94 | | | | | | | | | | | | | | | End of split
% 174.99/26.94 | | | | | | | | | | | | | | |
% 174.99/26.94 | | | | | | | | | | | | | | Case 2:
% 174.99/26.94 | | | | | | | | | | | | | | |
% 174.99/26.94 | | | | | | | | | | | | | | | (14587) all_42_2 = e1
% 174.99/26.94 | | | | | | | | | | | | | | | (14588) op(e0, e1) = all_42_1 & $i(all_42_1) & ( ~
% 174.99/26.94 | | | | | | | | | | | | | | | (all_42_1 = e3) | ( ~ (all_42_0 = e2) & op(e3,
% 174.99/26.94 | | | | | | | | | | | | | | | e0) = all_42_0 & $i(all_42_0)))
% 174.99/26.94 | | | | | | | | | | | | | | |
% 174.99/26.94 | | | | | | | | | | | | | | | ALPHA: (14588) implies:
% 174.99/26.94 | | | | | | | | | | | | | | | (14589) op(e0, e1) = all_42_1
% 174.99/26.94 | | | | | | | | | | | | | | |
% 174.99/26.94 | | | | | | | | | | | | | | | COMBINE_EQS: (532), (14587) imply:
% 174.99/26.94 | | | | | | | | | | | | | | | (14590) all_20_2 = e1
% 174.99/26.94 | | | | | | | | | | | | | | |
% 174.99/26.94 | | | | | | | | | | | | | | | SIMP: (14590) implies:
% 174.99/26.94 | | | | | | | | | | | | | | | (14591) all_20_2 = e1
% 174.99/26.94 | | | | | | | | | | | | | | |
% 174.99/26.94 | | | | | | | | | | | | | | | COMBINE_EQS: (582), (14591) imply:
% 174.99/26.94 | | | | | | | | | | | | | | | (14592) all_50_2 = e1
% 174.99/26.94 | | | | | | | | | | | | | | |
% 174.99/26.94 | | | | | | | | | | | | | | | REDUCE: (11656), (14591) imply:
% 174.99/26.94 | | | | | | | | | | | | | | | (14593) ~ (all_8_1 = e1)
% 174.99/26.94 | | | | | | | | | | | | | | |
% 174.99/26.94 | | | | | | | | | | | | | | | SIMP: (14593) implies:
% 174.99/26.94 | | | | | | | | | | | | | | | (14594) ~ (all_8_1 = e1)
% 174.99/26.94 | | | | | | | | | | | | | | |
% 174.99/26.94 | | | | | | | | | | | | | | | REDUCE: (695), (14591) imply:
% 174.99/26.94 | | | | | | | | | | | | | | | (14595) op(e1, e2) = all_65_75
% 174.99/26.94 | | | | | | | | | | | | | | |
% 174.99/26.94 | | | | | | | | | | | | | | | REDUCE: (697), (14591) imply:
% 174.99/26.94 | | | | | | | | | | | | | | | (14596) op(e1, e0) = all_65_78
% 174.99/26.94 | | | | | | | | | | | | | | |
% 174.99/26.94 | | | | | | | | | | | | | | | REDUCE: (11662), (14591) imply:
% 174.99/26.94 | | | | | | | | | | | | | | | (14597) op(all_8_1, e1) = e1
% 174.99/26.94 | | | | | | | | | | | | | | |
% 174.99/26.94 | | | | | | | | | | | | | | | REDUCE: (730), (14591) imply:
% 174.99/26.94 | | | | | | | | | | | | | | | (14598) op(e2, e1) = all_65_31
% 174.99/26.94 | | | | | | | | | | | | | | |
% 174.99/26.94 | | | | | | | | | | | | | | | REDUCE: (11689), (14591) imply:
% 174.99/26.94 | | | | | | | | | | | | | | | (14599) op(e1, e1) = all_65_77
% 174.99/26.94 | | | | | | | | | | | | | | |
% 174.99/26.94 | | | | | | | | | | | | | | | REDUCE: (764), (14591) imply:
% 174.99/26.94 | | | | | | | | | | | | | | | (14600) op(e0, e1) = all_65_78
% 174.99/26.94 | | | | | | | | | | | | | | |
% 174.99/26.94 | | | | | | | | | | | | | | | REDUCE: (76), (14591) imply:
% 174.99/26.94 | | | | | | | | | | | | | | | (14601) op(e0, e0) = e1
% 174.99/26.94 | | | | | | | | | | | | | | |
% 174.99/26.94 | | | | | | | | | | | | | | | BETA: splitting (122) gives:
% 174.99/26.94 | | | | | | | | | | | | | | |
% 174.99/26.94 | | | | | | | | | | | | | | | Case 1:
% 174.99/26.94 | | | | | | | | | | | | | | | |
% 174.99/26.94 | | | | | | | | | | | | | | | | (14602) ~ (all_50_2 = e1)
% 174.99/26.94 | | | | | | | | | | | | | | | |
% 174.99/26.94 | | | | | | | | | | | | | | | | REDUCE: (14592), (14602) imply:
% 174.99/26.94 | | | | | | | | | | | | | | | | (14603) $false
% 174.99/26.94 | | | | | | | | | | | | | | | |
% 174.99/26.94 | | | | | | | | | | | | | | | | CLOSE: (14603) is inconsistent.
% 174.99/26.94 | | | | | | | | | | | | | | | |
% 174.99/26.94 | | | | | | | | | | | | | | | Case 2:
% 174.99/26.94 | | | | | | | | | | | | | | | |
% 174.99/26.94 | | | | | | | | | | | | | | | | (14604) op(e0, e1) = all_50_1 & $i(all_50_1) & ( ~
% 174.99/26.94 | | | | | | | | | | | | | | | | (all_50_1 = e2) | ( ~ (all_50_0 = e3) & op(e2,
% 174.99/26.94 | | | | | | | | | | | | | | | | e0) = all_50_0 & $i(all_50_0)))
% 174.99/26.94 | | | | | | | | | | | | | | | |
% 174.99/26.94 | | | | | | | | | | | | | | | | ALPHA: (14604) implies:
% 174.99/26.94 | | | | | | | | | | | | | | | | (14605) op(e0, e1) = all_50_1
% 174.99/26.94 | | | | | | | | | | | | | | | |
% 174.99/26.94 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_50_1, all_65_78, e1,
% 174.99/26.94 | | | | | | | | | | | | | | | | e0, simplifying with (14600), (14605) gives:
% 174.99/26.94 | | | | | | | | | | | | | | | | (14606) all_65_78 = all_50_1
% 174.99/26.94 | | | | | | | | | | | | | | | |
% 174.99/26.94 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_42_1, all_65_78, e1,
% 174.99/26.94 | | | | | | | | | | | | | | | | e0, simplifying with (14589), (14600) gives:
% 174.99/26.94 | | | | | | | | | | | | | | | | (14607) all_65_78 = all_42_1
% 174.99/26.94 | | | | | | | | | | | | | | | |
% 174.99/26.94 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_8_1, all_65_78, e0,
% 174.99/26.94 | | | | | | | | | | | | | | | | e1, simplifying with (11606), (14596) gives:
% 174.99/26.94 | | | | | | | | | | | | | | | | (14608) all_65_78 = all_8_1
% 174.99/26.94 | | | | | | | | | | | | | | | |
% 174.99/26.94 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e0, all_65_77, e1, e1,
% 174.99/26.94 | | | | | | | | | | | | | | | | simplifying with (11622), (14599) gives:
% 174.99/26.94 | | | | | | | | | | | | | | | | (14609) all_65_77 = e0
% 174.99/26.94 | | | | | | | | | | | | | | | |
% 174.99/26.94 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_6, all_65_75, e2,
% 174.99/26.94 | | | | | | | | | | | | | | | | e1, simplifying with (229), (14595) gives:
% 174.99/26.94 | | | | | | | | | | | | | | | | (14610) all_65_75 = all_61_6
% 174.99/26.94 | | | | | | | | | | | | | | | |
% 174.99/26.94 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_9, all_65_31, e1,
% 174.99/26.94 | | | | | | | | | | | | | | | | e2, simplifying with (232), (14598) gives:
% 174.99/26.94 | | | | | | | | | | | | | | | | (14611) all_65_31 = all_61_9
% 174.99/26.94 | | | | | | | | | | | | | | | |
% 174.99/26.94 | | | | | | | | | | | | | | | | COMBINE_EQS: (14606), (14608) imply:
% 174.99/26.94 | | | | | | | | | | | | | | | | (14612) all_50_1 = all_8_1
% 174.99/26.94 | | | | | | | | | | | | | | | |
% 174.99/26.94 | | | | | | | | | | | | | | | | COMBINE_EQS: (14606), (14607) imply:
% 174.99/26.94 | | | | | | | | | | | | | | | | (14613) all_50_1 = all_42_1
% 174.99/26.94 | | | | | | | | | | | | | | | |
% 174.99/26.94 | | | | | | | | | | | | | | | | COMBINE_EQS: (14612), (14613) imply:
% 174.99/26.94 | | | | | | | | | | | | | | | | (14614) all_42_1 = all_8_1
% 174.99/26.94 | | | | | | | | | | | | | | | |
% 174.99/26.94 | | | | | | | | | | | | | | | | BETA: splitting (157) gives:
% 174.99/26.94 | | | | | | | | | | | | | | | |
% 174.99/26.94 | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.94 | | | | | | | | | | | | | | | | |
% 174.99/26.94 | | | | | | | | | | | | | | | | | (14615) ~ (all_58_3 = e1)
% 174.99/26.94 | | | | | | | | | | | | | | | | |
% 174.99/26.94 | | | | | | | | | | | | | | | | | REDUCE: (475), (14615) imply:
% 174.99/26.94 | | | | | | | | | | | | | | | | | (14616) ~ (all_52_3 = e1)
% 174.99/26.94 | | | | | | | | | | | | | | | | |
% 174.99/26.94 | | | | | | | | | | | | | | | | | BETA: splitting (158) gives:
% 174.99/26.94 | | | | | | | | | | | | | | | | |
% 174.99/26.94 | | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.94 | | | | | | | | | | | | | | | | | |
% 174.99/26.94 | | | | | | | | | | | | | | | | | | (14617) ~ (all_58_3 = e2)
% 174.99/26.94 | | | | | | | | | | | | | | | | | |
% 174.99/26.94 | | | | | | | | | | | | | | | | | | REDUCE: (475), (14617) imply:
% 174.99/26.94 | | | | | | | | | | | | | | | | | | (14618) ~ (all_52_3 = e2)
% 174.99/26.94 | | | | | | | | | | | | | | | | | |
% 174.99/26.94 | | | | | | | | | | | | | | | | | | BETA: splitting (159) gives:
% 174.99/26.94 | | | | | | | | | | | | | | | | | |
% 174.99/26.94 | | | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.94 | | | | | | | | | | | | | | | | | | |
% 174.99/26.94 | | | | | | | | | | | | | | | | | | | (14619) ~ (all_58_3 = e3)
% 174.99/26.94 | | | | | | | | | | | | | | | | | | |
% 174.99/26.94 | | | | | | | | | | | | | | | | | | | REDUCE: (475), (14619) imply:
% 174.99/26.94 | | | | | | | | | | | | | | | | | | | (14620) ~ (all_52_3 = e3)
% 174.99/26.94 | | | | | | | | | | | | | | | | | | |
% 174.99/26.94 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (50), (148), (539), (765), (11622), (14601),
% 174.99/26.94 | | | | | | | | | | | | | | | | | | | (14616), (14618), (14620) are inconsistent by
% 174.99/26.94 | | | | | | | | | | | | | | | | | | | sub-proof #154.
% 174.99/26.94 | | | | | | | | | | | | | | | | | | |
% 174.99/26.94 | | | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.94 | | | | | | | | | | | | | | | | | | |
% 174.99/26.94 | | | | | | | | | | | | | | | | | | | (14621) all_58_3 = e3
% 174.99/26.94 | | | | | | | | | | | | | | | | | | | (14622) all_58_0 = e0
% 174.99/26.94 | | | | | | | | | | | | | | | | | | |
% 174.99/26.94 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (484), (14622) imply:
% 174.99/26.94 | | | | | | | | | | | | | | | | | | | (14623) all_52_0 = e0
% 174.99/26.94 | | | | | | | | | | | | | | | | | | |
% 174.99/26.94 | | | | | | | | | | | | | | | | | | | SIMP: (14623) implies:
% 174.99/26.94 | | | | | | | | | | | | | | | | | | | (14624) all_52_0 = e0
% 174.99/26.94 | | | | | | | | | | | | | | | | | | |
% 174.99/26.94 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (475), (14621) imply:
% 174.99/26.94 | | | | | | | | | | | | | | | | | | | (14625) all_52_3 = e3
% 174.99/26.94 | | | | | | | | | | | | | | | | | | |
% 174.99/26.94 | | | | | | | | | | | | | | | | | | | REDUCE: (629), (14624) imply:
% 174.99/26.94 | | | | | | | | | | | | | | | | | | | (14626) ~ (all_52_2 = e0)
% 174.99/26.94 | | | | | | | | | | | | | | | | | | |
% 174.99/26.94 | | | | | | | | | | | | | | | | | | | SIMP: (14626) implies:
% 174.99/26.94 | | | | | | | | | | | | | | | | | | | (14627) ~ (all_52_2 = e0)
% 174.99/26.94 | | | | | | | | | | | | | | | | | | |
% 174.99/26.94 | | | | | | | | | | | | | | | | | | | REDUCE: (633), (14625) imply:
% 174.99/26.94 | | | | | | | | | | | | | | | | | | | (14628) ~ (all_52_2 = e3)
% 174.99/26.94 | | | | | | | | | | | | | | | | | | |
% 174.99/26.94 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (50), (149), (161), (229), (231), (232),
% 174.99/26.94 | | | | | | | | | | | | | | | | | | | (478), (481), (538), (731), (738), (748), (11613),
% 174.99/26.94 | | | | | | | | | | | | | | | | | | | (11622), (11659), (11673), (11697), (14403),
% 174.99/26.94 | | | | | | | | | | | | | | | | | | | (14404), (14627), (14628) are inconsistent by
% 174.99/26.94 | | | | | | | | | | | | | | | | | | | sub-proof #171.
% 174.99/26.94 | | | | | | | | | | | | | | | | | | |
% 174.99/26.94 | | | | | | | | | | | | | | | | | | End of split
% 174.99/26.94 | | | | | | | | | | | | | | | | | |
% 174.99/26.94 | | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.94 | | | | | | | | | | | | | | | | | |
% 174.99/26.94 | | | | | | | | | | | | | | | | | | (14629) all_58_3 = e2
% 174.99/26.94 | | | | | | | | | | | | | | | | | | (14630) all_58_1 = e0
% 174.99/26.94 | | | | | | | | | | | | | | | | | |
% 174.99/26.94 | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (50), (225), (231), (475), (481), (663),
% 174.99/26.94 | | | | | | | | | | | | | | | | | | (731), (765), (14404), (14418), (14629), (14630)
% 174.99/26.94 | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #456.
% 174.99/26.94 | | | | | | | | | | | | | | | | | |
% 174.99/26.94 | | | | | | | | | | | | | | | | | End of split
% 174.99/26.94 | | | | | | | | | | | | | | | | |
% 174.99/26.94 | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.94 | | | | | | | | | | | | | | | | |
% 174.99/26.94 | | | | | | | | | | | | | | | | | (14631) all_58_2 = e0
% 174.99/26.94 | | | | | | | | | | | | | | | | |
% 174.99/26.94 | | | | | | | | | | | | | | | | | COMBINE_EQS: (478), (14631) imply:
% 174.99/26.94 | | | | | | | | | | | | | | | | | (14632) all_52_2 = e0
% 174.99/26.94 | | | | | | | | | | | | | | | | |
% 174.99/26.94 | | | | | | | | | | | | | | | | | SIMP: (14632) implies:
% 174.99/26.94 | | | | | | | | | | | | | | | | | (14633) all_52_2 = e0
% 174.99/26.94 | | | | | | | | | | | | | | | | |
% 174.99/26.94 | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (50), (190), (232), (260), (269), (489),
% 174.99/26.94 | | | | | | | | | | | | | | | | | (748), (11606), (11612), (11628), (11644),
% 174.99/26.94 | | | | | | | | | | | | | | | | | (11646), (11651), (11657), (11660), (11696),
% 174.99/26.94 | | | | | | | | | | | | | | | | | (11697), (14354), (14419), (14594), (14597),
% 174.99/26.94 | | | | | | | | | | | | | | | | | (14633) are inconsistent by sub-proof #134.
% 174.99/26.94 | | | | | | | | | | | | | | | | |
% 174.99/26.94 | | | | | | | | | | | | | | | | End of split
% 174.99/26.94 | | | | | | | | | | | | | | | |
% 174.99/26.94 | | | | | | | | | | | | | | | End of split
% 174.99/26.94 | | | | | | | | | | | | | | |
% 174.99/26.94 | | | | | | | | | | | | | | End of split
% 174.99/26.94 | | | | | | | | | | | | | |
% 174.99/26.94 | | | | | | | | | | | | | Case 2:
% 174.99/26.94 | | | | | | | | | | | | | |
% 174.99/26.94 | | | | | | | | | | | | | | (14634) all_28_2 = e3
% 174.99/26.94 | | | | | | | | | | | | | | (14635) op(e0, e3) = all_28_1 & $i(all_28_1) & ( ~
% 174.99/26.94 | | | | | | | | | | | | | | (all_28_1 = e2) | ( ~ (all_28_0 = e1) & op(e2,
% 174.99/26.94 | | | | | | | | | | | | | | e0) = all_28_0 & $i(all_28_0)))
% 174.99/26.94 | | | | | | | | | | | | | |
% 174.99/26.94 | | | | | | | | | | | | | | ALPHA: (14635) implies:
% 174.99/26.94 | | | | | | | | | | | | | | (14636) op(e0, e3) = all_28_1
% 174.99/26.94 | | | | | | | | | | | | | |
% 174.99/26.94 | | | | | | | | | | | | | | COMBINE_EQS: (563), (14634) imply:
% 174.99/26.94 | | | | | | | | | | | | | | (14637) all_20_2 = e3
% 174.99/26.94 | | | | | | | | | | | | | |
% 174.99/26.94 | | | | | | | | | | | | | | REDUCE: (696), (14637) imply:
% 174.99/26.94 | | | | | | | | | | | | | | (14638) op(e3, e1) = all_65_77
% 174.99/26.94 | | | | | | | | | | | | | |
% 174.99/26.94 | | | | | | | | | | | | | | REDUCE: (697), (14637) imply:
% 174.99/26.94 | | | | | | | | | | | | | | (14639) op(e3, e0) = all_65_78
% 174.99/26.94 | | | | | | | | | | | | | |
% 174.99/26.94 | | | | | | | | | | | | | | REDUCE: (11662), (14637) imply:
% 174.99/26.94 | | | | | | | | | | | | | | (14640) op(all_8_1, e1) = e3
% 174.99/26.94 | | | | | | | | | | | | | |
% 174.99/26.94 | | | | | | | | | | | | | | REDUCE: (11689), (14637) imply:
% 174.99/26.94 | | | | | | | | | | | | | | (14641) op(e1, e3) = all_65_77
% 174.99/26.94 | | | | | | | | | | | | | |
% 174.99/26.94 | | | | | | | | | | | | | | REDUCE: (764), (14637) imply:
% 174.99/26.94 | | | | | | | | | | | | | | (14642) op(e0, e3) = all_65_78
% 174.99/26.94 | | | | | | | | | | | | | |
% 174.99/26.94 | | | | | | | | | | | | | | REDUCE: (76), (14637) imply:
% 174.99/26.94 | | | | | | | | | | | | | | (14643) op(e0, e0) = e3
% 174.99/26.94 | | | | | | | | | | | | | |
% 174.99/26.94 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_3, all_65_78, e3,
% 174.99/26.94 | | | | | | | | | | | | | | e0, simplifying with (226), (14642) gives:
% 174.99/26.94 | | | | | | | | | | | | | | (14644) all_65_78 = all_61_3
% 174.99/26.94 | | | | | | | | | | | | | |
% 174.99/26.94 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_28_1, all_65_78, e3,
% 174.99/26.94 | | | | | | | | | | | | | | e0, simplifying with (14636), (14642) gives:
% 174.99/26.94 | | | | | | | | | | | | | | (14645) all_65_78 = all_28_1
% 174.99/26.94 | | | | | | | | | | | | | |
% 174.99/26.94 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_2, all_65_77, e3,
% 174.99/26.94 | | | | | | | | | | | | | | e1, simplifying with (230), (14641) gives:
% 174.99/26.94 | | | | | | | | | | | | | | (14646) all_65_77 = all_61_2
% 174.99/26.94 | | | | | | | | | | | | | |
% 174.99/26.94 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_12, all_65_78, e0,
% 174.99/26.94 | | | | | | | | | | | | | | e3, simplifying with (235), (14639) gives:
% 174.99/26.94 | | | | | | | | | | | | | | (14647) all_65_78 = all_61_12
% 174.99/26.94 | | | | | | | | | | | | | |
% 174.99/26.94 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_8, all_65_77, e1,
% 174.99/26.94 | | | | | | | | | | | | | | e3, simplifying with (236), (14638) gives:
% 174.99/26.94 | | | | | | | | | | | | | | (14648) all_65_77 = all_61_8
% 174.99/26.94 | | | | | | | | | | | | | |
% 174.99/26.94 | | | | | | | | | | | | | | COMBINE_EQS: (14646), (14648) imply:
% 174.99/26.94 | | | | | | | | | | | | | | (14649) all_61_2 = all_61_8
% 174.99/26.94 | | | | | | | | | | | | | |
% 174.99/26.94 | | | | | | | | | | | | | | COMBINE_EQS: (14644), (14645) imply:
% 174.99/26.94 | | | | | | | | | | | | | | (14650) all_61_3 = all_28_1
% 174.99/26.94 | | | | | | | | | | | | | |
% 174.99/26.94 | | | | | | | | | | | | | | COMBINE_EQS: (14644), (14647) imply:
% 174.99/26.94 | | | | | | | | | | | | | | (14651) all_61_3 = all_61_12
% 174.99/26.94 | | | | | | | | | | | | | |
% 174.99/26.94 | | | | | | | | | | | | | | COMBINE_EQS: (14650), (14651) imply:
% 174.99/26.94 | | | | | | | | | | | | | | (14652) all_61_12 = all_28_1
% 174.99/26.94 | | | | | | | | | | | | | |
% 174.99/26.94 | | | | | | | | | | | | | | REDUCE: (14363), (14649) imply:
% 174.99/26.94 | | | | | | | | | | | | | | (14653) op(all_61_8, e3) = all_61_6
% 174.99/26.94 | | | | | | | | | | | | | |
% 174.99/26.94 | | | | | | | | | | | | | | REDUCE: (14364), (14650) imply:
% 174.99/26.94 | | | | | | | | | | | | | | (14654) op(all_28_1, e3) = all_61_7
% 174.99/26.94 | | | | | | | | | | | | | |
% 174.99/26.94 | | | | | | | | | | | | | | REDUCE: (646), (14652) imply:
% 174.99/26.94 | | | | | | | | | | | | | | (14655) op(all_28_1, e3) = all_65_12
% 174.99/26.94 | | | | | | | | | | | | | |
% 174.99/26.94 | | | | | | | | | | | | | | REDUCE: (706), (14649) imply:
% 174.99/26.94 | | | | | | | | | | | | | | (14656) op(e3, all_61_8) = all_65_8
% 174.99/26.94 | | | | | | | | | | | | | |
% 174.99/26.94 | | | | | | | | | | | | | | REDUCE: (710), (14650) imply:
% 174.99/26.94 | | | | | | | | | | | | | | (14657) op(e3, all_28_1) = all_65_12
% 174.99/26.94 | | | | | | | | | | | | | |
% 174.99/26.94 | | | | | | | | | | | | | | REDUCE: (14371), (14652) imply:
% 174.99/26.94 | | | | | | | | | | | | | | (14658) op(e3, all_28_1) = all_61_13
% 174.99/26.94 | | | | | | | | | | | | | |
% 174.99/26.94 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_13, all_65_12,
% 174.99/26.94 | | | | | | | | | | | | | | all_28_1, e3, simplifying with (14657), (14658)
% 174.99/26.94 | | | | | | | | | | | | | | gives:
% 174.99/26.94 | | | | | | | | | | | | | | (14659) all_65_12 = all_61_13
% 174.99/26.94 | | | | | | | | | | | | | |
% 174.99/26.94 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_9, all_65_8,
% 174.99/26.94 | | | | | | | | | | | | | | all_61_8, e3, simplifying with (14370), (14656)
% 174.99/26.94 | | | | | | | | | | | | | | gives:
% 174.99/26.94 | | | | | | | | | | | | | | (14660) all_65_8 = all_61_9
% 174.99/26.94 | | | | | | | | | | | | | |
% 174.99/26.94 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_7, all_65_12, e3,
% 174.99/26.94 | | | | | | | | | | | | | | all_28_1, simplifying with (14654), (14655) gives:
% 174.99/26.94 | | | | | | | | | | | | | | (14661) all_65_12 = all_61_7
% 174.99/26.94 | | | | | | | | | | | | | |
% 174.99/26.94 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_8, all_61_6, e3,
% 174.99/26.94 | | | | | | | | | | | | | | all_61_8, simplifying with (642), (14653) gives:
% 174.99/26.94 | | | | | | | | | | | | | | (14662) all_65_8 = all_61_6
% 174.99/26.94 | | | | | | | | | | | | | |
% 174.99/26.94 | | | | | | | | | | | | | | COMBINE_EQS: (14660), (14662) imply:
% 174.99/26.94 | | | | | | | | | | | | | | (14663) all_61_6 = all_61_9
% 174.99/26.94 | | | | | | | | | | | | | |
% 174.99/26.94 | | | | | | | | | | | | | | COMBINE_EQS: (14659), (14661) imply:
% 174.99/26.94 | | | | | | | | | | | | | | (14664) all_61_7 = all_61_13
% 174.99/26.94 | | | | | | | | | | | | | |
% 174.99/26.94 | | | | | | | | | | | | | | SIMP: (14664) implies:
% 174.99/26.94 | | | | | | | | | | | | | | (14665) all_61_7 = all_61_13
% 174.99/26.94 | | | | | | | | | | | | | |
% 174.99/26.94 | | | | | | | | | | | | | | REDUCE: (672), (14663) imply:
% 174.99/26.94 | | | | | | | | | | | | | | (14666) op(all_61_9, e1) = all_65_38
% 174.99/26.94 | | | | | | | | | | | | | |
% 174.99/26.94 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_13, all_65_38, e1,
% 174.99/26.94 | | | | | | | | | | | | | | all_61_9, simplifying with (11659), (14666) gives:
% 174.99/26.94 | | | | | | | | | | | | | | (14667) all_65_38 = all_61_13
% 174.99/26.94 | | | | | | | | | | | | | |
% 174.99/26.94 | | | | | | | | | | | | | | BETA: splitting (161) gives:
% 174.99/26.94 | | | | | | | | | | | | | |
% 174.99/26.94 | | | | | | | | | | | | | | Case 1:
% 174.99/26.94 | | | | | | | | | | | | | | |
% 174.99/26.94 | | | | | | | | | | | | | | | (14668) ~ (all_58_2 = e2)
% 174.99/26.94 | | | | | | | | | | | | | | |
% 174.99/26.94 | | | | | | | | | | | | | | | REDUCE: (478), (14668) imply:
% 174.99/26.94 | | | | | | | | | | | | | | | (14669) ~ (all_52_2 = e2)
% 174.99/26.94 | | | | | | | | | | | | | | |
% 174.99/26.94 | | | | | | | | | | | | | | | BETA: splitting (163) gives:
% 174.99/26.94 | | | | | | | | | | | | | | |
% 174.99/26.94 | | | | | | | | | | | | | | | Case 1:
% 174.99/26.94 | | | | | | | | | | | | | | | |
% 174.99/26.94 | | | | | | | | | | | | | | | | (14670) ~ (all_58_1 = e0)
% 174.99/26.94 | | | | | | | | | | | | | | | |
% 174.99/26.94 | | | | | | | | | | | | | | | | REDUCE: (481), (14670) imply:
% 174.99/26.94 | | | | | | | | | | | | | | | | (14671) ~ (all_52_1 = e0)
% 174.99/26.94 | | | | | | | | | | | | | | | |
% 174.99/26.94 | | | | | | | | | | | | | | | | BETA: splitting (158) gives:
% 174.99/26.94 | | | | | | | | | | | | | | | |
% 174.99/26.94 | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.94 | | | | | | | | | | | | | | | | |
% 174.99/26.94 | | | | | | | | | | | | | | | | | (14672) ~ (all_58_3 = e2)
% 174.99/26.94 | | | | | | | | | | | | | | | | |
% 174.99/26.94 | | | | | | | | | | | | | | | | | REDUCE: (475), (14672) imply:
% 174.99/26.94 | | | | | | | | | | | | | | | | | (14673) ~ (all_52_3 = e2)
% 174.99/26.94 | | | | | | | | | | | | | | | | |
% 174.99/26.94 | | | | | | | | | | | | | | | | | BETA: splitting (160) gives:
% 174.99/26.94 | | | | | | | | | | | | | | | | |
% 174.99/26.94 | | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.94 | | | | | | | | | | | | | | | | | |
% 174.99/26.94 | | | | | | | | | | | | | | | | | | (14674) ~ (all_58_2 = e0)
% 174.99/26.94 | | | | | | | | | | | | | | | | | |
% 174.99/26.94 | | | | | | | | | | | | | | | | | | REDUCE: (478), (14674) imply:
% 174.99/26.94 | | | | | | | | | | | | | | | | | | (14675) ~ (all_52_2 = e0)
% 174.99/26.94 | | | | | | | | | | | | | | | | | |
% 174.99/26.94 | | | | | | | | | | | | | | | | | | BETA: splitting (162) gives:
% 174.99/26.94 | | | | | | | | | | | | | | | | | |
% 174.99/26.94 | | | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.94 | | | | | | | | | | | | | | | | | | |
% 174.99/26.94 | | | | | | | | | | | | | | | | | | | (14676) ~ (all_58_2 = e3)
% 174.99/26.94 | | | | | | | | | | | | | | | | | | |
% 174.99/26.94 | | | | | | | | | | | | | | | | | | | REDUCE: (478), (14676) imply:
% 174.99/26.94 | | | | | | | | | | | | | | | | | | | (14677) ~ (all_52_2 = e3)
% 174.99/26.94 | | | | | | | | | | | | | | | | | | |
% 174.99/26.94 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (50), (149), (231), (538), (748), (11622),
% 174.99/26.94 | | | | | | | | | | | | | | | | | | | (14404), (14669), (14675), (14677) are
% 174.99/26.94 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #203.
% 174.99/26.94 | | | | | | | | | | | | | | | | | | |
% 174.99/26.94 | | | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.94 | | | | | | | | | | | | | | | | | | |
% 174.99/26.94 | | | | | | | | | | | | | | | | | | | (14678) all_58_2 = e3
% 174.99/26.94 | | | | | | | | | | | | | | | | | | | (14679) all_58_0 = e1
% 174.99/26.94 | | | | | | | | | | | | | | | | | | |
% 174.99/26.94 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (50), (148), (478), (484), (539), (630), (633),
% 174.99/26.94 | | | | | | | | | | | | | | | | | | | (765), (11696), (14643), (14673), (14678), (14679)
% 174.99/26.94 | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #431.
% 174.99/26.94 | | | | | | | | | | | | | | | | | | |
% 174.99/26.94 | | | | | | | | | | | | | | | | | | End of split
% 174.99/26.94 | | | | | | | | | | | | | | | | | |
% 174.99/26.94 | | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.94 | | | | | | | | | | | | | | | | | |
% 174.99/26.94 | | | | | | | | | | | | | | | | | | (14680) all_58_2 = e0
% 174.99/26.94 | | | | | | | | | | | | | | | | | |
% 174.99/26.94 | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (22), (50), (478), (748), (11606), (14640),
% 174.99/26.94 | | | | | | | | | | | | | | | | | | (14680) are inconsistent by sub-proof #148.
% 174.99/26.94 | | | | | | | | | | | | | | | | | |
% 174.99/26.94 | | | | | | | | | | | | | | | | | End of split
% 174.99/26.94 | | | | | | | | | | | | | | | | |
% 174.99/26.94 | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.94 | | | | | | | | | | | | | | | | |
% 174.99/26.94 | | | | | | | | | | | | | | | | | (14681) all_58_1 = e0
% 174.99/26.94 | | | | | | | | | | | | | | | | |
% 174.99/26.94 | | | | | | | | | | | | | | | | | REF_CLOSE: (481), (14671), (14681) are inconsistent by
% 174.99/26.94 | | | | | | | | | | | | | | | | | sub-proof #462.
% 174.99/26.94 | | | | | | | | | | | | | | | | |
% 174.99/26.94 | | | | | | | | | | | | | | | | End of split
% 174.99/26.94 | | | | | | | | | | | | | | | |
% 174.99/26.94 | | | | | | | | | | | | | | | Case 2:
% 174.99/26.94 | | | | | | | | | | | | | | | |
% 174.99/26.94 | | | | | | | | | | | | | | | | (14682) all_58_3 = e2
% 174.99/26.94 | | | | | | | | | | | | | | | | (14683) all_58_1 = e0
% 174.99/26.94 | | | | | | | | | | | | | | | |
% 174.99/26.94 | | | | | | | | | | | | | | | | REF_CLOSE: (9), (50), (225), (231), (475), (481), (663),
% 174.99/26.94 | | | | | | | | | | | | | | | | (731), (765), (14404), (14418), (14682), (14683)
% 174.99/26.94 | | | | | | | | | | | | | | | | are inconsistent by sub-proof #437.
% 174.99/26.94 | | | | | | | | | | | | | | | |
% 174.99/26.94 | | | | | | | | | | | | | | | End of split
% 174.99/26.94 | | | | | | | | | | | | | | |
% 174.99/26.94 | | | | | | | | | | | | | | Case 2:
% 174.99/26.94 | | | | | | | | | | | | | | |
% 174.99/26.94 | | | | | | | | | | | | | | | (14684) all_58_2 = e2
% 174.99/26.94 | | | | | | | | | | | | | | | (14685) all_58_1 = e1
% 174.99/26.94 | | | | | | | | | | | | | | |
% 174.99/26.94 | | | | | | | | | | | | | | | REF_CLOSE: (4), (50), (229), (232), (478), (481), (731),
% 174.99/26.94 | | | | | | | | | | | | | | | (738), (748), (11613), (11622), (11659), (11673),
% 174.99/26.94 | | | | | | | | | | | | | | | (11697), (14403), (14684), (14685) are
% 174.99/26.94 | | | | | | | | | | | | | | | inconsistent by sub-proof #172.
% 174.99/26.94 | | | | | | | | | | | | | | |
% 174.99/26.94 | | | | | | | | | | | | | | End of split
% 174.99/26.94 | | | | | | | | | | | | | |
% 174.99/26.94 | | | | | | | | | | | | | End of split
% 174.99/26.94 | | | | | | | | | | | | |
% 174.99/26.94 | | | | | | | | | | | | Case 2:
% 174.99/26.94 | | | | | | | | | | | | |
% 174.99/26.94 | | | | | | | | | | | | | (14686) all_63_5 = e1 | all_63_5 = e0
% 174.99/26.94 | | | | | | | | | | | | |
% 174.99/26.94 | | | | | | | | | | | | | REF_CLOSE: (587), (11699), (14394), (14686) are inconsistent
% 174.99/26.94 | | | | | | | | | | | | | by sub-proof #524.
% 174.99/26.94 | | | | | | | | | | | | |
% 174.99/26.94 | | | | | | | | | | | | End of split
% 174.99/26.94 | | | | | | | | | | | |
% 174.99/26.94 | | | | | | | | | | | End of split
% 174.99/26.94 | | | | | | | | | | |
% 174.99/26.94 | | | | | | | | | | Case 2:
% 174.99/26.94 | | | | | | | | | | |
% 174.99/26.94 | | | | | | | | | | | (14687) all_22_2 = e0
% 174.99/26.94 | | | | | | | | | | | (14688) op(e2, e0) = all_22_1 & $i(all_22_1) & ( ~
% 174.99/26.94 | | | | | | | | | | | (all_22_1 = e1) | ( ~ (all_22_0 = e3) & op(e1,
% 174.99/26.94 | | | | | | | | | | | e2) = all_22_0 & $i(all_22_0)))
% 174.99/26.94 | | | | | | | | | | |
% 174.99/26.94 | | | | | | | | | | | ALPHA: (14688) implies:
% 174.99/26.94 | | | | | | | | | | | (14689) op(e2, e0) = all_22_1
% 174.99/26.94 | | | | | | | | | | |
% 174.99/26.94 | | | | | | | | | | | COMBINE_EQS: (449), (14687) imply:
% 174.99/26.94 | | | | | | | | | | | (14690) all_6_2 = e0
% 174.99/26.94 | | | | | | | | | | |
% 174.99/26.94 | | | | | | | | | | | COMBINE_EQS: (580), (14690) imply:
% 174.99/26.94 | | | | | | | | | | | (14691) all_38_2 = e0
% 174.99/26.94 | | | | | | | | | | |
% 174.99/26.94 | | | | | | | | | | | REDUCE: (615), (14690) imply:
% 174.99/26.94 | | | | | | | | | | | (14692) ~ (all_61_13 = e0)
% 174.99/26.94 | | | | | | | | | | |
% 174.99/26.94 | | | | | | | | | | | REDUCE: (14357), (14690) imply:
% 174.99/26.94 | | | | | | | | | | | (14693) ~ (all_14_1 = e0)
% 174.99/26.94 | | | | | | | | | | |
% 174.99/26.94 | | | | | | | | | | | REDUCE: (11699), (14690) imply:
% 174.99/26.94 | | | | | | | | | | | (14694) ~ (e1 = e0)
% 174.99/26.94 | | | | | | | | | | |
% 174.99/26.94 | | | | | | | | | | | REDUCE: (654), (14690) imply:
% 174.99/26.94 | | | | | | | | | | | (14695) op(e0, e3) = all_65_20
% 174.99/26.94 | | | | | | | | | | |
% 174.99/26.94 | | | | | | | | | | | REDUCE: (655), (14690) imply:
% 174.99/26.94 | | | | | | | | | | | (14696) op(e0, e2) = all_65_21
% 174.99/26.94 | | | | | | | | | | |
% 174.99/26.94 | | | | | | | | | | | REDUCE: (656), (14690) imply:
% 174.99/26.94 | | | | | | | | | | | (14697) op(e0, e1) = all_65_22
% 174.99/26.94 | | | | | | | | | | |
% 174.99/26.94 | | | | | | | | | | | REDUCE: (657), (14690) imply:
% 174.99/26.94 | | | | | | | | | | | (14698) op(e0, e0) = all_65_23
% 174.99/26.94 | | | | | | | | | | |
% 174.99/26.94 | | | | | | | | | | | REDUCE: (14390), (14690) imply:
% 174.99/26.94 | | | | | | | | | | | (14699) op(e3, all_14_1) = e0
% 174.99/26.94 | | | | | | | | | | |
% 174.99/26.94 | | | | | | | | | | | REDUCE: (14391), (14690) imply:
% 174.99/26.94 | | | | | | | | | | | (14700) op(e3, e0) = all_65_20
% 174.99/26.94 | | | | | | | | | | |
% 174.99/26.94 | | | | | | | | | | | REDUCE: (720), (14690) imply:
% 174.99/26.94 | | | | | | | | | | | (14701) op(e2, e0) = all_65_21
% 174.99/26.94 | | | | | | | | | | |
% 174.99/26.94 | | | | | | | | | | | REDUCE: (55), (14690) imply:
% 174.99/26.94 | | | | | | | | | | | (14702) op(e2, e2) = e0
% 174.99/26.94 | | | | | | | | | | |
% 174.99/26.94 | | | | | | | | | | | REDUCE: (737), (14690) imply:
% 174.99/26.94 | | | | | | | | | | | (14703) op(e1, e0) = all_65_37
% 174.99/26.94 | | | | | | | | | | |
% 174.99/26.94 | | | | | | | | | | | REDUCE: (754), (14690) imply:
% 174.99/26.94 | | | | | | | | | | | (14704) op(e0, e0) = all_65_59
% 174.99/26.94 | | | | | | | | | | |
% 174.99/26.94 | | | | | | | | | | | BETA: splitting (104) gives:
% 174.99/26.94 | | | | | | | | | | |
% 174.99/26.94 | | | | | | | | | | | Case 1:
% 174.99/26.94 | | | | | | | | | | | |
% 174.99/26.94 | | | | | | | | | | | | (14705) ~ (all_38_2 = e0)
% 174.99/26.94 | | | | | | | | | | | |
% 174.99/26.94 | | | | | | | | | | | | REDUCE: (14691), (14705) imply:
% 174.99/26.94 | | | | | | | | | | | | (14706) $false
% 174.99/26.94 | | | | | | | | | | | |
% 174.99/26.94 | | | | | | | | | | | | CLOSE: (14706) is inconsistent.
% 174.99/26.94 | | | | | | | | | | | |
% 174.99/26.94 | | | | | | | | | | | Case 2:
% 174.99/26.94 | | | | | | | | | | | |
% 174.99/26.94 | | | | | | | | | | | | (14707) op(e2, e0) = all_38_1 & $i(all_38_1) & ( ~
% 174.99/26.94 | | | | | | | | | | | | (all_38_1 = e3) | ( ~ (all_38_0 = e1) & op(e3,
% 174.99/26.94 | | | | | | | | | | | | e2) = all_38_0 & $i(all_38_0)))
% 174.99/26.94 | | | | | | | | | | | |
% 174.99/26.94 | | | | | | | | | | | | ALPHA: (14707) implies:
% 174.99/26.94 | | | | | | | | | | | | (14708) op(e2, e0) = all_38_1
% 174.99/26.94 | | | | | | | | | | | |
% 174.99/26.94 | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_20_2, all_65_23, e0,
% 174.99/26.94 | | | | | | | | | | | | e0, simplifying with (76), (14698) gives:
% 174.99/26.94 | | | | | | | | | | | | (14709) all_65_23 = all_20_2
% 174.99/26.94 | | | | | | | | | | | |
% 174.99/26.94 | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_59, all_65_23, e0,
% 174.99/26.94 | | | | | | | | | | | | e0, simplifying with (14698), (14704) gives:
% 174.99/26.94 | | | | | | | | | | | | (14710) all_65_23 = all_65_59
% 174.99/26.94 | | | | | | | | | | | |
% 174.99/26.94 | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_8_1, all_65_22, e1,
% 174.99/26.94 | | | | | | | | | | | | e0, simplifying with (11676), (14697) gives:
% 174.99/26.94 | | | | | | | | | | | | (14711) all_65_22 = all_8_1
% 174.99/26.94 | | | | | | | | | | | |
% 174.99/26.94 | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_7, all_65_21, e2,
% 174.99/26.94 | | | | | | | | | | | | e0, simplifying with (225), (14696) gives:
% 174.99/26.94 | | | | | | | | | | | | (14712) all_65_21 = all_61_7
% 174.99/26.94 | | | | | | | | | | | |
% 174.99/26.94 | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_3, all_65_20, e3,
% 174.99/26.94 | | | | | | | | | | | | e0, simplifying with (226), (14695) gives:
% 174.99/26.94 | | | | | | | | | | | | (14713) all_65_20 = all_61_3
% 174.99/26.94 | | | | | | | | | | | |
% 174.99/26.94 | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_8_1, all_65_37, e0,
% 174.99/26.94 | | | | | | | | | | | | e1, simplifying with (11606), (14703) gives:
% 174.99/26.94 | | | | | | | | | | | | (14714) all_65_37 = all_8_1
% 174.99/26.94 | | | | | | | | | | | |
% 174.99/26.94 | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_13, all_38_1, e0,
% 174.99/26.94 | | | | | | | | | | | | e2, simplifying with (231), (14708) gives:
% 174.99/26.94 | | | | | | | | | | | | (14715) all_61_13 = all_38_1
% 174.99/26.94 | | | | | | | | | | | |
% 174.99/26.94 | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_13, all_65_21, e0,
% 174.99/26.94 | | | | | | | | | | | | e2, simplifying with (231), (14701) gives:
% 174.99/26.94 | | | | | | | | | | | | (14716) all_65_21 = all_61_13
% 174.99/26.94 | | | | | | | | | | | |
% 174.99/26.94 | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_22_1, all_65_21, e0,
% 174.99/26.94 | | | | | | | | | | | | e2, simplifying with (14689), (14701) gives:
% 174.99/26.94 | | | | | | | | | | | | (14717) all_65_21 = all_22_1
% 174.99/26.95 | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_12, all_65_20, e0,
% 174.99/26.95 | | | | | | | | | | | | e3, simplifying with (235), (14700) gives:
% 174.99/26.95 | | | | | | | | | | | | (14718) all_65_20 = all_61_12
% 174.99/26.95 | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | COMBINE_EQS: (14713), (14718) imply:
% 174.99/26.95 | | | | | | | | | | | | (14719) all_61_3 = all_61_12
% 174.99/26.95 | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | SIMP: (14719) implies:
% 174.99/26.95 | | | | | | | | | | | | (14720) all_61_3 = all_61_12
% 174.99/26.95 | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | COMBINE_EQS: (14712), (14717) imply:
% 174.99/26.95 | | | | | | | | | | | | (14721) all_61_7 = all_22_1
% 174.99/26.95 | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | SIMP: (14721) implies:
% 174.99/26.95 | | | | | | | | | | | | (14722) all_61_7 = all_22_1
% 174.99/26.95 | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | COMBINE_EQS: (14716), (14717) imply:
% 174.99/26.95 | | | | | | | | | | | | (14723) all_61_13 = all_22_1
% 174.99/26.95 | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | SIMP: (14723) implies:
% 174.99/26.95 | | | | | | | | | | | | (14724) all_61_13 = all_22_1
% 174.99/26.95 | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | COMBINE_EQS: (14709), (14710) imply:
% 174.99/26.95 | | | | | | | | | | | | (14725) all_65_59 = all_20_2
% 174.99/26.95 | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | COMBINE_EQS: (14715), (14724) imply:
% 174.99/26.95 | | | | | | | | | | | | (14726) all_38_1 = all_22_1
% 174.99/26.95 | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | COMBINE_EQS: (508), (14722) imply:
% 174.99/26.95 | | | | | | | | | | | | (14727) all_63_13 = all_22_1
% 174.99/26.95 | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | REDUCE: (195), (14722) imply:
% 174.99/26.95 | | | | | | | | | | | | (14728) ~ (all_61_6 = all_22_1)
% 174.99/26.95 | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | REDUCE: (184), (14724) imply:
% 174.99/26.95 | | | | | | | | | | | | (14729) ~ (all_61_9 = all_22_1)
% 174.99/26.95 | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | REDUCE: (626), (14724) imply:
% 174.99/26.95 | | | | | | | | | | | | (14730) ~ (all_22_1 = all_20_2)
% 174.99/26.95 | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | REDUCE: (14348), (14724) imply:
% 174.99/26.95 | | | | | | | | | | | | (14731) ~ (all_22_1 = all_14_1)
% 174.99/26.95 | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | REDUCE: (14692), (14724) imply:
% 174.99/26.95 | | | | | | | | | | | | (14732) ~ (all_22_1 = e0)
% 174.99/26.95 | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | REDUCE: (685), (14720) imply:
% 174.99/26.95 | | | | | | | | | | | | (14733) op(all_61_12, e0) = all_65_55
% 174.99/26.95 | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | REDUCE: (671), (14714) imply:
% 174.99/26.95 | | | | | | | | | | | | (14734) op(all_61_6, e2) = all_8_1
% 174.99/26.95 | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | REDUCE: (687), (14722), (14725) imply:
% 174.99/26.95 | | | | | | | | | | | | (14735) op(all_22_1, e2) = all_20_2
% 174.99/26.95 | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | REDUCE: (689), (14722) imply:
% 174.99/26.95 | | | | | | | | | | | | (14736) op(all_22_1, e0) = all_65_63
% 174.99/26.95 | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | REDUCE: (11659), (14724) imply:
% 174.99/26.95 | | | | | | | | | | | | (14737) op(all_61_9, e1) = all_22_1
% 174.99/26.95 | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | REDUCE: (663), (14724) imply:
% 174.99/26.95 | | | | | | | | | | | | (14738) op(all_22_1, e2) = all_65_29
% 174.99/26.95 | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | REDUCE: (665), (14724) imply:
% 174.99/26.95 | | | | | | | | | | | | (14739) op(all_22_1, e0) = all_65_31
% 174.99/26.95 | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | REDUCE: (761), (14720) imply:
% 174.99/26.95 | | | | | | | | | | | | (14740) op(e0, all_61_12) = all_65_73
% 174.99/26.95 | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | REDUCE: (762), (14722) imply:
% 174.99/26.95 | | | | | | | | | | | | (14741) op(e0, all_22_1) = all_65_75
% 174.99/26.95 | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | REDUCE: (756), (14724) imply:
% 174.99/26.95 | | | | | | | | | | | | (14742) op(e0, all_22_1) = all_65_63
% 174.99/26.95 | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_75, all_65_63,
% 174.99/26.95 | | | | | | | | | | | | all_22_1, e0, simplifying with (14741), (14742)
% 174.99/26.95 | | | | | | | | | | | | gives:
% 174.99/26.95 | | | | | | | | | | | | (14743) all_65_63 = all_65_75
% 174.99/26.95 | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_55, all_65_73,
% 174.99/26.95 | | | | | | | | | | | | all_61_12, e0, simplifying with (752), (14740)
% 174.99/26.95 | | | | | | | | | | | | gives:
% 174.99/26.95 | | | | | | | | | | | | (14744) all_65_55 = all_65_73
% 174.99/26.95 | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_63, all_65_31, e0,
% 174.99/26.95 | | | | | | | | | | | | all_22_1, simplifying with (14736), (14739) gives:
% 174.99/26.95 | | | | | | | | | | | | (14745) all_65_31 = all_65_63
% 174.99/26.95 | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_20_2, all_65_29, e2,
% 174.99/26.95 | | | | | | | | | | | | all_22_1, simplifying with (14735), (14738) gives:
% 174.99/26.95 | | | | | | | | | | | | (14746) all_65_29 = all_20_2
% 174.99/26.95 | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_15, all_65_55, e0,
% 174.99/26.95 | | | | | | | | | | | | all_61_12, simplifying with (649), (14733) gives:
% 174.99/26.95 | | | | | | | | | | | | (14747) all_65_15 = all_65_55
% 174.99/26.95 | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | COMBINE_EQS: (14743), (14745) imply:
% 174.99/26.95 | | | | | | | | | | | | (14748) all_65_31 = all_65_75
% 174.99/26.95 | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | COMBINE_EQS: (14744), (14747) imply:
% 174.99/26.95 | | | | | | | | | | | | (14749) all_65_15 = all_65_73
% 174.99/26.95 | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | REDUCE: (713), (14749) imply:
% 174.99/26.95 | | | | | | | | | | | | (14750) op(e3, all_20_2) = all_65_73
% 174.99/26.95 | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | REDUCE: (730), (14748) imply:
% 174.99/26.95 | | | | | | | | | | | | (14751) op(e2, all_20_2) = all_65_75
% 174.99/26.95 | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | BETA: splitting (89) gives:
% 174.99/26.95 | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | Case 1:
% 174.99/26.95 | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | (14752) ~ (all_28_2 = e3)
% 174.99/26.95 | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | REDUCE: (563), (14752) imply:
% 174.99/26.95 | | | | | | | | | | | | | (14753) ~ (all_20_2 = e3)
% 174.99/26.95 | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | BETA: splitting (110) gives:
% 174.99/26.95 | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | Case 1:
% 174.99/26.95 | | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | | (14754) ~ (all_42_2 = e1)
% 174.99/26.95 | | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | | REDUCE: (532), (14754) imply:
% 174.99/26.95 | | | | | | | | | | | | | | (14755) ~ (all_20_2 = e1)
% 174.99/26.95 | | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | | BETA: splitting (256) gives:
% 174.99/26.95 | | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | | Case 1:
% 174.99/26.95 | | | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | | | (14756) all_63_15 = e3
% 174.99/26.95 | | | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | | | REF_CLOSE: (422), (14753), (14756) are inconsistent by
% 174.99/26.95 | | | | | | | | | | | | | | | sub-proof #501.
% 174.99/26.95 | | | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | | Case 2:
% 174.99/26.95 | | | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | | | (14757) all_63_15 = e2 | all_63_15 = e1 | all_63_15 = e0
% 174.99/26.95 | | | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | | | BETA: splitting (14757) gives:
% 174.99/26.95 | | | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | | | Case 1:
% 174.99/26.95 | | | | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | | | | (14758) all_63_15 = e2
% 174.99/26.95 | | | | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | | | | REF_CLOSE: (422), (14392), (14758) are inconsistent by
% 174.99/26.95 | | | | | | | | | | | | | | | | sub-proof #500.
% 174.99/26.95 | | | | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | | | Case 2:
% 174.99/26.95 | | | | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | | | | (14759) all_63_15 = e1 | all_63_15 = e0
% 174.99/26.95 | | | | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | | | | BETA: splitting (14759) gives:
% 174.99/26.95 | | | | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.95 | | | | | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | | | | | (14760) all_63_15 = e1
% 174.99/26.95 | | | | | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | | | | | REF_CLOSE: (422), (14755), (14760) are inconsistent by
% 174.99/26.95 | | | | | | | | | | | | | | | | | sub-proof #499.
% 174.99/26.95 | | | | | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.95 | | | | | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | | | | | (14761) all_63_15 = e0
% 174.99/26.95 | | | | | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | | | | | COMBINE_EQS: (422), (14761) imply:
% 174.99/26.95 | | | | | | | | | | | | | | | | | (14762) all_20_2 = e0
% 174.99/26.95 | | | | | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | | | | | SIMP: (14762) implies:
% 174.99/26.95 | | | | | | | | | | | | | | | | | (14763) all_20_2 = e0
% 174.99/26.95 | | | | | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | | | | | REDUCE: (625), (14763) imply:
% 174.99/26.95 | | | | | | | | | | | | | | | | | (14764) ~ (all_61_12 = e0)
% 174.99/26.95 | | | | | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | | | | | REDUCE: (14750), (14763) imply:
% 174.99/26.95 | | | | | | | | | | | | | | | | | (14765) op(e3, e0) = all_65_73
% 174.99/26.95 | | | | | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | | | | | REDUCE: (764), (14763) imply:
% 174.99/26.95 | | | | | | | | | | | | | | | | | (14766) op(e0, e0) = all_65_78
% 174.99/26.95 | | | | | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | | | | | REDUCE: (76), (14763) imply:
% 174.99/26.95 | | | | | | | | | | | | | | | | | (14767) op(e0, e0) = e0
% 174.99/26.95 | | | | | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | | | | | BETA: splitting (170) gives:
% 174.99/26.95 | | | | | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.95 | | | | | | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | | | | | | (14768) ( ~ (all_60_0 = e0) & op(e3, e3) = all_60_0 &
% 174.99/26.95 | | | | | | | | | | | | | | | | | | $i(all_60_0)) | ( ~ (all_60_1 = e0) & op(e2, e2)
% 174.99/26.95 | | | | | | | | | | | | | | | | | | = all_60_1 & $i(all_60_1))
% 174.99/26.95 | | | | | | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | | | | | | BETA: splitting (14768) gives:
% 174.99/26.95 | | | | | | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.95 | | | | | | | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | (14769) ~ (all_60_0 = e0) & op(e3, e3) = all_60_0 &
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | $i(all_60_0)
% 174.99/26.95 | | | | | | | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | ALPHA: (14769) implies:
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | (14770) ~ (all_60_0 = e0)
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | (14771) op(e3, e3) = all_60_0
% 174.99/26.95 | | | | | | | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e0, all_65_78, e0, e0,
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | simplifying with (14766), (14767) gives:
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | (14772) all_65_78 = e0
% 174.99/26.95 | | | | | | | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_12, all_65_73, e0,
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | e3, simplifying with (235), (14765) gives:
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | (14773) all_65_73 = all_61_12
% 174.99/26.95 | | | | | | | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e2, all_60_0, e3, e3,
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | simplifying with (14315), (14771) gives:
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | (14774) all_60_0 = e2
% 174.99/26.95 | | | | | | | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | BETA: splitting (167) gives:
% 174.99/26.95 | | | | | | | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | (14775) ~ (all_58_0 = e1)
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | REDUCE: (484), (14775) imply:
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | (14776) ~ (all_52_0 = e1)
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | BETA: splitting (163) gives:
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | (14777) ~ (all_58_1 = e0)
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | REDUCE: (481), (14777) imply:
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | (14778) ~ (all_52_1 = e0)
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (166) gives:
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | (14779) ~ (all_58_0 = e0)
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (484), (14779) imply:
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | (14780) ~ (all_52_0 = e0)
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (164) gives:
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | | (14781) ~ (all_58_1 = e1)
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (481), (14781) imply:
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | | (14782) ~ (all_52_1 = e1)
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (50), (150), (151), (165), (168), (187), (268),
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | | (269), (270), (481), (484), (489), (491), (534),
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | | (536), (714), (731), (11612), (11696), (11697),
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | | (14302), (14308), (14309), (14315), (14342),
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | | (14354), (14356), (14358), (14693), (14702),
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | | (14764), (14776), (14778), (14780), (14782) are
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #229.
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | | (14783) all_58_2 = e2
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | | (14784) all_58_1 = e1
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (481), (14784) imply:
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | | (14785) all_52_1 = e1
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14785) implies:
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | | (14786) all_52_1 = e1
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (478), (14783) imply:
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | | (14787) all_52_2 = e2
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14787) implies:
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | | (14788) all_52_2 = e2
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (629), (14788) imply:
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | | (14789) ~ (all_52_0 = e2)
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (632), (14786) imply:
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | | (14790) ~ (all_52_3 = e1)
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14790) implies:
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | | (14791) ~ (all_52_3 = e1)
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (633), (14788) imply:
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | | (14792) ~ (all_52_3 = e2)
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14792) implies:
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | | (14793) ~ (all_52_3 = e2)
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (151) gives:
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | | | (14794) all_56_0 = e3
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (534), (14794) imply:
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | | | (14795) all_52_0 = e3
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14795) implies:
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | | | (14796) all_52_0 = e3
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (630), (14796) imply:
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | | | (14797) ~ (all_52_3 = e3)
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14797) implies:
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | | | (14798) ~ (all_52_3 = e3)
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (714), (14796) imply:
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | | | (14799) op(e3, e3) = unit
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (148) gives:
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | (14800) all_56_3 = e3
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (539), (14800) imply:
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | (14801) all_52_3 = e3
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14798), (14801) imply:
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | (14802) $false
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (14802) is inconsistent.
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | (14803) all_56_3 = e2 | all_56_3 = e1 | all_56_3 = e0
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14803) gives:
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | (14804) all_56_3 = e2
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (539), (14804) imply:
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | (14805) all_52_3 = e2
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14793), (14805) imply:
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | (14806) $false
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (14806) is inconsistent.
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | (14807) ~ (all_56_3 = e2)
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | (14808) all_56_3 = e1 | all_56_3 = e0
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14808) gives:
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | (14809) all_56_3 = e1
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (539), (14809) imply:
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | (14810) all_52_3 = e1
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14791), (14810) imply:
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | (14811) $false
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (14811) is inconsistent.
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | (14812) all_56_3 = e0
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (539), (14812) imply:
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | (14813) all_52_3 = e0
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14793), (14813) imply:
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | (14814) ~ (e2 = e0)
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (765), (14813) imply:
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | (14815) op(e0, e0) = unit
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e0, unit, e0, e0,
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (14767), (14815) gives:
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | (14816) unit = e0
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (19), (50), (14315), (14799), (14816) are
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #133.
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | | | (14817) all_56_0 = e2 | all_56_0 = e1 | all_56_0 = e0
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (534), (14776), (14780), (14789), (14817) are
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #512.
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | (14818) all_58_0 = e0
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (484), (14818) imply:
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | (14819) all_52_0 = e0
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | SIMP: (14819) implies:
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | (14820) all_52_0 = e0
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (714), (14820) imply:
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | (14821) op(e3, e0) = unit
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_12, unit, e0, e3,
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | simplifying with (235), (14821) gives:
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | (14822) all_61_12 = unit
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14356), (14822) imply:
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | (14823) ~ (all_14_1 = unit)
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | SIMP: (14823) implies:
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | (14824) ~ (all_14_1 = unit)
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14309), (14822) imply:
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | (14825) ~ (unit = e2)
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14764), (14822) imply:
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | (14826) ~ (unit = e0)
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11697) gives:
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | | (14827) unit = e2
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14825), (14827) imply:
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | | (14828) $false
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (14828) is inconsistent.
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | | (14829) unit = e1 | unit = e0
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (50), (267), (14341), (14358), (14693), (14699),
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | | (14770), (14771), (14824), (14826), (14829) are
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #132.
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | End of split
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | (14830) all_58_3 = e2
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | (14831) all_58_1 = e0
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (481), (14831) imply:
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | (14832) all_52_1 = e0
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | SIMP: (14832) implies:
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | (14833) all_52_1 = e0
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (475), (14830) imply:
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | (14834) all_52_3 = e2
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | REDUCE: (628), (14833) imply:
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | (14835) ~ (all_52_0 = e0)
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | REDUCE: (630), (14834) imply:
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | (14836) ~ (all_52_0 = e2)
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | REDUCE: (631), (14833) imply:
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | (14837) ~ (all_52_2 = e0)
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | SIMP: (14837) implies:
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | (14838) ~ (all_52_2 = e0)
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | REDUCE: (632), (14833), (14834) imply:
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | (14839) ~ (e2 = e0)
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | REDUCE: (633), (14834) imply:
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | (14840) ~ (all_52_2 = e2)
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (151) gives:
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | (14841) all_56_0 = e3
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (534), (14841) imply:
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | (14842) all_52_0 = e3
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | SIMP: (14842) implies:
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | (14843) all_52_0 = e3
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (629), (14843) imply:
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | (14844) ~ (all_52_2 = e3)
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | SIMP: (14844) implies:
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | (14845) ~ (all_52_2 = e3)
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (714), (14843) imply:
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | (14846) op(e3, e3) = unit
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (149) gives:
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | | (14847) all_56_2 = e3
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (538), (14847) imply:
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | | (14848) all_52_2 = e3
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14845), (14848) imply:
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | | (14849) $false
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (14849) is inconsistent.
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | | (14850) all_56_2 = e2 | all_56_2 = e1 | all_56_2 = e0
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14850) gives:
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | | | (14851) all_56_2 = e2
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (538), (14851) imply:
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | | | (14852) all_52_2 = e2
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14840), (14852) imply:
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | | | (14853) $false
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (14853) is inconsistent.
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | | | (14854) all_56_2 = e1 | all_56_2 = e0
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14854) gives:
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | (14855) all_56_2 = e1
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (538), (14855) imply:
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | (14856) all_52_2 = e1
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (748), (14856) imply:
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | (14857) op(e1, e1) = unit
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e0, unit, e1, e1,
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (11622), (14857) gives:
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | (14858) unit = e0
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (19), (50), (14315), (14846), (14858) are
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #133.
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | (14859) all_56_2 = e0
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (538), (14859) imply:
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | (14860) all_52_2 = e0
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14838), (14860) imply:
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | (14861) $false
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (14861) is inconsistent.
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | (14862) all_56_0 = e2 | all_56_0 = e1 | all_56_0 = e0
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (534), (14776), (14835), (14836), (14862) are
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #512.
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | End of split
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | End of split
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | (14863) all_58_0 = e1
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (484), (14863) imply:
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | (14864) all_52_0 = e1
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | SIMP: (14864) implies:
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | (14865) all_52_0 = e1
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | REDUCE: (714), (14865) imply:
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | (14866) op(e3, e1) = unit
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_8, unit, e1, e3,
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | simplifying with (236), (14866) gives:
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | (14867) all_61_8 = unit
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | REDUCE: (14354), (14867) imply:
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | (14868) ~ (all_14_1 = unit)
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | SIMP: (14868) implies:
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | (14869) ~ (all_14_1 = unit)
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | REDUCE: (14308), (14867) imply:
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | (14870) ~ (unit = e2)
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | REDUCE: (11612), (14867) imply:
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | (14871) ~ (unit = e0)
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | BETA: splitting (11697) gives:
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | (14872) unit = e2
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | REDUCE: (14870), (14872) imply:
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | (14873) $false
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | CLOSE: (14873) is inconsistent.
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | (14874) unit = e1 | unit = e0
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (50), (267), (14341), (14358), (14693), (14699),
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | (14770), (14771), (14869), (14871), (14874) are
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #132.
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | | End of split
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | End of split
% 174.99/26.95 | | | | | | | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.95 | | | | | | | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | (14875) ~ (all_60_1 = e0) & op(e2, e2) = all_60_1 &
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | $i(all_60_1)
% 174.99/26.95 | | | | | | | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | ALPHA: (14875) implies:
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | (14876) ~ (all_60_1 = e0)
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | (14877) op(e2, e2) = all_60_1
% 174.99/26.95 | | | | | | | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (50), (14702), (14876), (14877) are inconsistent
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | by sub-proof #158.
% 174.99/26.95 | | | | | | | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | | | | | | End of split
% 174.99/26.95 | | | | | | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.95 | | | | | | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | | | | | | (14878) ( ~ (all_60_2 = e0) & op(e1, e1) = all_60_2 &
% 174.99/26.95 | | | | | | | | | | | | | | | | | | $i(all_60_2)) | ( ~ (all_60_3 = e0) & op(e0, e0)
% 174.99/26.95 | | | | | | | | | | | | | | | | | | = all_60_3 & $i(all_60_3))
% 174.99/26.95 | | | | | | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | | | | | | BETA: splitting (14878) gives:
% 174.99/26.95 | | | | | | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.95 | | | | | | | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | (14879) ~ (all_60_2 = e0) & op(e1, e1) = all_60_2 &
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | $i(all_60_2)
% 174.99/26.95 | | | | | | | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (50), (11622), (14879) are inconsistent by
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | sub-proof #157.
% 174.99/26.95 | | | | | | | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.95 | | | | | | | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | (14880) ~ (all_60_3 = e0) & op(e0, e0) = all_60_3 &
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | $i(all_60_3)
% 174.99/26.95 | | | | | | | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (50), (14766), (14767), (14880) are inconsistent
% 174.99/26.95 | | | | | | | | | | | | | | | | | | | by sub-proof #156.
% 174.99/26.95 | | | | | | | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | | | | | | End of split
% 174.99/26.95 | | | | | | | | | | | | | | | | | |
% 174.99/26.95 | | | | | | | | | | | | | | | | | End of split
% 174.99/26.95 | | | | | | | | | | | | | | | | |
% 174.99/26.96 | | | | | | | | | | | | | | | | End of split
% 174.99/26.96 | | | | | | | | | | | | | | | |
% 174.99/26.96 | | | | | | | | | | | | | | | End of split
% 174.99/26.96 | | | | | | | | | | | | | | |
% 174.99/26.96 | | | | | | | | | | | | | | End of split
% 174.99/26.96 | | | | | | | | | | | | | |
% 174.99/26.96 | | | | | | | | | | | | | Case 2:
% 174.99/26.96 | | | | | | | | | | | | | |
% 174.99/26.96 | | | | | | | | | | | | | | (14881) all_42_2 = e1
% 174.99/26.96 | | | | | | | | | | | | | | (14882) op(e0, e1) = all_42_1 & $i(all_42_1) & ( ~
% 174.99/26.96 | | | | | | | | | | | | | | (all_42_1 = e3) | ( ~ (all_42_0 = e2) & op(e3,
% 174.99/26.96 | | | | | | | | | | | | | | e0) = all_42_0 & $i(all_42_0)))
% 174.99/26.96 | | | | | | | | | | | | | |
% 174.99/26.96 | | | | | | | | | | | | | | ALPHA: (14882) implies:
% 174.99/26.96 | | | | | | | | | | | | | | (14883) op(e0, e1) = all_42_1
% 174.99/26.96 | | | | | | | | | | | | | |
% 174.99/26.96 | | | | | | | | | | | | | | COMBINE_EQS: (532), (14881) imply:
% 174.99/26.96 | | | | | | | | | | | | | | (14884) all_20_2 = e1
% 174.99/26.96 | | | | | | | | | | | | | |
% 174.99/26.96 | | | | | | | | | | | | | | COMBINE_EQS: (582), (14884) imply:
% 174.99/26.96 | | | | | | | | | | | | | | (14885) all_50_2 = e1
% 174.99/26.96 | | | | | | | | | | | | | |
% 174.99/26.96 | | | | | | | | | | | | | | REDUCE: (14730), (14884) imply:
% 174.99/26.96 | | | | | | | | | | | | | | (14886) ~ (all_22_1 = e1)
% 174.99/26.96 | | | | | | | | | | | | | |
% 174.99/26.96 | | | | | | | | | | | | | | REDUCE: (11656), (14884) imply:
% 174.99/26.96 | | | | | | | | | | | | | | (14887) ~ (all_8_1 = e1)
% 174.99/26.96 | | | | | | | | | | | | | |
% 174.99/26.96 | | | | | | | | | | | | | | SIMP: (14887) implies:
% 174.99/26.96 | | | | | | | | | | | | | | (14888) ~ (all_8_1 = e1)
% 174.99/26.96 | | | | | | | | | | | | | |
% 174.99/26.96 | | | | | | | | | | | | | | REDUCE: (694), (14884) imply:
% 174.99/26.96 | | | | | | | | | | | | | | (14889) op(e1, e3) = all_65_73
% 174.99/26.96 | | | | | | | | | | | | | |
% 174.99/26.96 | | | | | | | | | | | | | | REDUCE: (695), (14884) imply:
% 174.99/26.96 | | | | | | | | | | | | | | (14890) op(e1, e2) = all_65_75
% 174.99/26.96 | | | | | | | | | | | | | |
% 174.99/26.96 | | | | | | | | | | | | | | REDUCE: (14750), (14884) imply:
% 174.99/26.96 | | | | | | | | | | | | | | (14891) op(e3, e1) = all_65_73
% 174.99/26.96 | | | | | | | | | | | | | |
% 174.99/26.96 | | | | | | | | | | | | | | REDUCE: (14751), (14884) imply:
% 174.99/26.96 | | | | | | | | | | | | | | (14892) op(e2, e1) = all_65_75
% 174.99/26.96 | | | | | | | | | | | | | |
% 174.99/26.96 | | | | | | | | | | | | | | REDUCE: (11689), (14884) imply:
% 174.99/26.96 | | | | | | | | | | | | | | (14893) op(e1, e1) = all_65_77
% 174.99/26.96 | | | | | | | | | | | | | |
% 174.99/26.96 | | | | | | | | | | | | | | REDUCE: (764), (14884) imply:
% 174.99/26.96 | | | | | | | | | | | | | | (14894) op(e0, e1) = all_65_78
% 174.99/26.96 | | | | | | | | | | | | | |
% 174.99/26.96 | | | | | | | | | | | | | | REDUCE: (76), (14884) imply:
% 174.99/26.96 | | | | | | | | | | | | | | (14895) op(e0, e0) = e1
% 174.99/26.96 | | | | | | | | | | | | | |
% 174.99/26.96 | | | | | | | | | | | | | | BETA: splitting (122) gives:
% 174.99/26.96 | | | | | | | | | | | | | |
% 174.99/26.96 | | | | | | | | | | | | | | Case 1:
% 174.99/26.96 | | | | | | | | | | | | | | |
% 174.99/26.96 | | | | | | | | | | | | | | | (14896) ~ (all_50_2 = e1)
% 174.99/26.96 | | | | | | | | | | | | | | |
% 174.99/26.96 | | | | | | | | | | | | | | | REDUCE: (14885), (14896) imply:
% 174.99/26.96 | | | | | | | | | | | | | | | (14897) $false
% 174.99/26.96 | | | | | | | | | | | | | | |
% 174.99/26.96 | | | | | | | | | | | | | | | CLOSE: (14897) is inconsistent.
% 174.99/26.96 | | | | | | | | | | | | | | |
% 174.99/26.96 | | | | | | | | | | | | | | Case 2:
% 174.99/26.96 | | | | | | | | | | | | | | |
% 174.99/26.96 | | | | | | | | | | | | | | | (14898) op(e0, e1) = all_50_1 & $i(all_50_1) & ( ~
% 174.99/26.96 | | | | | | | | | | | | | | | (all_50_1 = e2) | ( ~ (all_50_0 = e3) & op(e2,
% 174.99/26.96 | | | | | | | | | | | | | | | e0) = all_50_0 & $i(all_50_0)))
% 174.99/26.96 | | | | | | | | | | | | | | |
% 174.99/26.96 | | | | | | | | | | | | | | | ALPHA: (14898) implies:
% 174.99/26.96 | | | | | | | | | | | | | | | (14899) op(e0, e1) = all_50_1
% 174.99/26.96 | | | | | | | | | | | | | | | (14900) ~ (all_50_1 = e2) | ( ~ (all_50_0 = e3) & op(e2,
% 174.99/26.96 | | | | | | | | | | | | | | | e0) = all_50_0 & $i(all_50_0))
% 174.99/26.96 | | | | | | | | | | | | | | |
% 174.99/26.96 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_8_1, all_50_1, e1, e0,
% 174.99/26.96 | | | | | | | | | | | | | | | simplifying with (11676), (14899) gives:
% 174.99/26.96 | | | | | | | | | | | | | | | (14901) all_50_1 = all_8_1
% 174.99/26.96 | | | | | | | | | | | | | | |
% 174.99/26.96 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_50_1, all_65_78, e1,
% 174.99/26.96 | | | | | | | | | | | | | | | e0, simplifying with (14894), (14899) gives:
% 174.99/26.96 | | | | | | | | | | | | | | | (14902) all_65_78 = all_50_1
% 174.99/26.96 | | | | | | | | | | | | | | |
% 174.99/26.96 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_42_1, all_65_78, e1,
% 174.99/26.96 | | | | | | | | | | | | | | | e0, simplifying with (14883), (14894) gives:
% 174.99/26.96 | | | | | | | | | | | | | | | (14903) all_65_78 = all_42_1
% 174.99/26.96 | | | | | | | | | | | | | | |
% 174.99/26.96 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e0, all_65_77, e1, e1,
% 174.99/26.96 | | | | | | | | | | | | | | | simplifying with (11622), (14893) gives:
% 174.99/26.96 | | | | | | | | | | | | | | | (14904) all_65_77 = e0
% 174.99/26.96 | | | | | | | | | | | | | | |
% 174.99/26.96 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_6, all_65_75, e2,
% 174.99/26.96 | | | | | | | | | | | | | | | e1, simplifying with (229), (14890) gives:
% 174.99/26.96 | | | | | | | | | | | | | | | (14905) all_65_75 = all_61_6
% 174.99/26.96 | | | | | | | | | | | | | | |
% 174.99/26.96 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_2, all_65_73, e3,
% 174.99/26.96 | | | | | | | | | | | | | | | e1, simplifying with (230), (14889) gives:
% 174.99/26.96 | | | | | | | | | | | | | | | (14906) all_65_73 = all_61_2
% 174.99/26.96 | | | | | | | | | | | | | | |
% 174.99/26.96 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_9, all_65_75, e1,
% 174.99/26.96 | | | | | | | | | | | | | | | e2, simplifying with (232), (14892) gives:
% 174.99/26.96 | | | | | | | | | | | | | | | (14907) all_65_75 = all_61_9
% 174.99/26.96 | | | | | | | | | | | | | | |
% 174.99/26.96 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_8, all_65_73, e1,
% 174.99/26.96 | | | | | | | | | | | | | | | e3, simplifying with (236), (14891) gives:
% 174.99/26.96 | | | | | | | | | | | | | | | (14908) all_65_73 = all_61_8
% 174.99/26.96 | | | | | | | | | | | | | | |
% 174.99/26.96 | | | | | | | | | | | | | | | COMBINE_EQS: (14906), (14908) imply:
% 174.99/26.96 | | | | | | | | | | | | | | | (14909) all_61_2 = all_61_8
% 174.99/26.96 | | | | | | | | | | | | | | |
% 174.99/26.96 | | | | | | | | | | | | | | | SIMP: (14909) implies:
% 174.99/26.96 | | | | | | | | | | | | | | | (14910) all_61_2 = all_61_8
% 174.99/26.96 | | | | | | | | | | | | | | |
% 174.99/26.96 | | | | | | | | | | | | | | | COMBINE_EQS: (14905), (14907) imply:
% 174.99/26.96 | | | | | | | | | | | | | | | (14911) all_61_6 = all_61_9
% 174.99/26.96 | | | | | | | | | | | | | | |
% 174.99/26.96 | | | | | | | | | | | | | | | SIMP: (14911) implies:
% 174.99/26.96 | | | | | | | | | | | | | | | (14912) all_61_6 = all_61_9
% 174.99/26.96 | | | | | | | | | | | | | | |
% 174.99/26.96 | | | | | | | | | | | | | | | COMBINE_EQS: (14902), (14903) imply:
% 174.99/26.96 | | | | | | | | | | | | | | | (14913) all_50_1 = all_42_1
% 174.99/26.96 | | | | | | | | | | | | | | |
% 174.99/26.96 | | | | | | | | | | | | | | | SIMP: (14913) implies:
% 174.99/26.96 | | | | | | | | | | | | | | | (14914) all_50_1 = all_42_1
% 174.99/26.96 | | | | | | | | | | | | | | |
% 174.99/26.96 | | | | | | | | | | | | | | | COMBINE_EQS: (14901), (14914) imply:
% 174.99/26.96 | | | | | | | | | | | | | | | (14915) all_42_1 = all_8_1
% 174.99/26.96 | | | | | | | | | | | | | | |
% 174.99/26.96 | | | | | | | | | | | | | | | COMBINE_EQS: (499), (14910) imply:
% 174.99/26.96 | | | | | | | | | | | | | | | (14916) all_63_8 = all_61_8
% 174.99/26.96 | | | | | | | | | | | | | | |
% 174.99/26.96 | | | | | | | | | | | | | | | REDUCE: (14350), (14912) imply:
% 174.99/26.96 | | | | | | | | | | | | | | | (14917) ~ (all_61_9 = all_14_1)
% 174.99/26.96 | | | | | | | | | | | | | | |
% 174.99/26.96 | | | | | | | | | | | | | | | REDUCE: (672), (14912) imply:
% 174.99/26.96 | | | | | | | | | | | | | | | (14918) op(all_61_9, e1) = all_65_38
% 174.99/26.96 | | | | | | | | | | | | | | |
% 174.99/26.96 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_22_1, all_65_38, e1,
% 174.99/26.96 | | | | | | | | | | | | | | | all_61_9, simplifying with (14737), (14918) gives:
% 174.99/26.96 | | | | | | | | | | | | | | | (14919) all_65_38 = all_22_1
% 174.99/26.96 | | | | | | | | | | | | | | |
% 174.99/26.96 | | | | | | | | | | | | | | | BETA: splitting (161) gives:
% 174.99/26.96 | | | | | | | | | | | | | | |
% 174.99/26.96 | | | | | | | | | | | | | | | Case 1:
% 174.99/26.96 | | | | | | | | | | | | | | | |
% 174.99/26.96 | | | | | | | | | | | | | | | | (14920) ~ (all_58_2 = e2)
% 174.99/26.96 | | | | | | | | | | | | | | | |
% 174.99/26.96 | | | | | | | | | | | | | | | | REDUCE: (478), (14920) imply:
% 174.99/26.96 | | | | | | | | | | | | | | | | (14921) ~ (all_52_2 = e2)
% 174.99/26.96 | | | | | | | | | | | | | | | |
% 174.99/26.96 | | | | | | | | | | | | | | | | BETA: splitting (164) gives:
% 174.99/26.96 | | | | | | | | | | | | | | | |
% 174.99/26.96 | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.96 | | | | | | | | | | | | | | | | |
% 174.99/26.96 | | | | | | | | | | | | | | | | | (14922) ~ (all_58_1 = e1)
% 174.99/26.96 | | | | | | | | | | | | | | | | |
% 174.99/26.96 | | | | | | | | | | | | | | | | | REDUCE: (481), (14922) imply:
% 174.99/26.96 | | | | | | | | | | | | | | | | | (14923) ~ (all_52_1 = e1)
% 174.99/26.96 | | | | | | | | | | | | | | | | |
% 174.99/26.96 | | | | | | | | | | | | | | | | | BETA: splitting (162) gives:
% 174.99/26.96 | | | | | | | | | | | | | | | | |
% 174.99/26.96 | | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.96 | | | | | | | | | | | | | | | | | |
% 174.99/26.96 | | | | | | | | | | | | | | | | | | (14924) ~ (all_58_2 = e3)
% 174.99/26.96 | | | | | | | | | | | | | | | | | |
% 174.99/26.96 | | | | | | | | | | | | | | | | | | REDUCE: (478), (14924) imply:
% 174.99/26.96 | | | | | | | | | | | | | | | | | | (14925) ~ (all_52_2 = e3)
% 174.99/26.96 | | | | | | | | | | | | | | | | | |
% 174.99/26.96 | | | | | | | | | | | | | | | | | | BETA: splitting (167) gives:
% 174.99/26.96 | | | | | | | | | | | | | | | | | |
% 174.99/26.96 | | | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.96 | | | | | | | | | | | | | | | | | | |
% 174.99/26.96 | | | | | | | | | | | | | | | | | | | (14926) ~ (all_58_0 = e1)
% 174.99/26.96 | | | | | | | | | | | | | | | | | | |
% 174.99/26.96 | | | | | | | | | | | | | | | | | | | REDUCE: (484), (14926) imply:
% 174.99/26.96 | | | | | | | | | | | | | | | | | | | (14927) ~ (all_52_0 = e1)
% 174.99/26.96 | | | | | | | | | | | | | | | | | | |
% 174.99/26.96 | | | | | | | | | | | | | | | | | | | BETA: splitting (165) gives:
% 174.99/26.96 | | | | | | | | | | | | | | | | | | |
% 174.99/26.96 | | | | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.96 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.96 | | | | | | | | | | | | | | | | | | | | (14928) ~ (all_58_1 = e3)
% 174.99/26.96 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.96 | | | | | | | | | | | | | | | | | | | | REDUCE: (481), (14928) imply:
% 174.99/26.96 | | | | | | | | | | | | | | | | | | | | (14929) ~ (all_52_1 = e3)
% 174.99/26.96 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.96 | | | | | | | | | | | | | | | | | | | | BETA: splitting (163) gives:
% 174.99/26.96 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.96 | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.96 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.96 | | | | | | | | | | | | | | | | | | | | | (14930) ~ (all_58_1 = e0)
% 174.99/26.96 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.96 | | | | | | | | | | | | | | | | | | | | | REDUCE: (481), (14930) imply:
% 174.99/26.96 | | | | | | | | | | | | | | | | | | | | | (14931) ~ (all_52_1 = e0)
% 174.99/26.96 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.96 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (18), (50), (150), (536), (731), (14702),
% 174.99/26.96 | | | | | | | | | | | | | | | | | | | | | (14895), (14923), (14929), (14931) are
% 174.99/26.96 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #264.
% 174.99/26.96 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.96 | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.96 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.96 | | | | | | | | | | | | | | | | | | | | | (14932) all_58_3 = e2
% 174.99/26.96 | | | | | | | | | | | | | | | | | | | | | (14933) all_58_1 = e0
% 174.99/26.96 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.96 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (481), (14933) imply:
% 174.99/26.96 | | | | | | | | | | | | | | | | | | | | | (14934) all_52_1 = e0
% 174.99/26.96 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.96 | | | | | | | | | | | | | | | | | | | | | SIMP: (14934) implies:
% 174.99/26.96 | | | | | | | | | | | | | | | | | | | | | (14935) all_52_1 = e0
% 174.99/26.96 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.96 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (475), (14932) imply:
% 174.99/26.96 | | | | | | | | | | | | | | | | | | | | | (14936) all_52_3 = e2
% 174.99/26.96 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.96 | | | | | | | | | | | | | | | | | | | | | SIMP: (14936) implies:
% 174.99/26.96 | | | | | | | | | | | | | | | | | | | | | (14937) all_52_3 = e2
% 174.99/26.96 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.96 | | | | | | | | | | | | | | | | | | | | | REDUCE: (631), (14935) imply:
% 174.99/26.96 | | | | | | | | | | | | | | | | | | | | | (14938) ~ (all_52_2 = e0)
% 174.99/26.96 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.96 | | | | | | | | | | | | | | | | | | | | | SIMP: (14938) implies:
% 174.99/26.96 | | | | | | | | | | | | | | | | | | | | | (14939) ~ (all_52_2 = e0)
% 174.99/26.96 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.96 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (50), (149), (162), (478), (484), (538),
% 174.99/26.96 | | | | | | | | | | | | | | | | | | | | | (748), (11622), (14895), (14921), (14927), (14939)
% 174.99/26.96 | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #181.
% 174.99/26.96 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.96 | | | | | | | | | | | | | | | | | | | | End of split
% 174.99/26.96 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.96 | | | | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.96 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.96 | | | | | | | | | | | | | | | | | | | | (14940) all_58_0 = e2
% 174.99/26.96 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.96 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (484), (14940) imply:
% 174.99/26.96 | | | | | | | | | | | | | | | | | | | | (14941) all_52_0 = e2
% 174.99/26.96 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.96 | | | | | | | | | | | | | | | | | | | | SIMP: (14941) implies:
% 174.99/26.96 | | | | | | | | | | | | | | | | | | | | (14942) all_52_0 = e2
% 174.99/26.96 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.96 | | | | | | | | | | | | | | | | | | | | REDUCE: (714), (14942) imply:
% 174.99/26.96 | | | | | | | | | | | | | | | | | | | | (14943) op(e3, e2) = unit
% 174.99/26.96 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.96 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_14_1, unit, e2, e3,
% 174.99/26.96 | | | | | | | | | | | | | | | | | | | | simplifying with (14302), (14943) gives:
% 174.99/26.96 | | | | | | | | | | | | | | | | | | | | (14944) all_14_1 = unit
% 174.99/26.96 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.96 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (14342), (14944) imply:
% 174.99/26.96 | | | | | | | | | | | | | | | | | | | | (14945) all_63_1 = unit
% 174.99/26.96 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.96 | | | | | | | | | | | | | | | | | | | | REDUCE: (14354), (14944) imply:
% 174.99/26.96 | | | | | | | | | | | | | | | | | | | | (14946) ~ (all_61_8 = unit)
% 174.99/26.96 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.96 | | | | | | | | | | | | | | | | | | | | REDUCE: (14917), (14944) imply:
% 174.99/26.96 | | | | | | | | | | | | | | | | | | | | (14947) ~ (all_61_9 = unit)
% 174.99/26.96 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.96 | | | | | | | | | | | | | | | | | | | | REDUCE: (14358), (14944) imply:
% 174.99/26.96 | | | | | | | | | | | | | | | | | | | | (14948) ~ (unit = e2)
% 174.99/26.96 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.96 | | | | | | | | | | | | | | | | | | | | REDUCE: (14693), (14944) imply:
% 174.99/26.96 | | | | | | | | | | | | | | | | | | | | (14949) ~ (unit = e0)
% 174.99/26.96 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.96 | | | | | | | | | | | | | | | | | | | | BETA: splitting (11697) gives:
% 174.99/26.96 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.96 | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.96 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.96 | | | | | | | | | | | | | | | | | | | | | (14950) unit = e2
% 174.99/26.96 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.96 | | | | | | | | | | | | | | | | | | | | | REDUCE: (14948), (14950) imply:
% 174.99/26.96 | | | | | | | | | | | | | | | | | | | | | (14951) $false
% 174.99/26.96 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.96 | | | | | | | | | | | | | | | | | | | | | CLOSE: (14951) is inconsistent.
% 174.99/26.96 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.96 | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.96 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.96 | | | | | | | | | | | | | | | | | | | | | (14952) unit = e1 | unit = e0
% 174.99/26.96 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.96 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14952) gives:
% 174.99/26.96 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.96 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.96 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.96 | | | | | | | | | | | | | | | | | | | | | | (14953) unit = e1
% 174.99/26.96 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.96 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14946), (14953) imply:
% 174.99/26.96 | | | | | | | | | | | | | | | | | | | | | | (14954) ~ (all_61_8 = e1)
% 174.99/26.96 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.96 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14947), (14953) imply:
% 174.99/26.96 | | | | | | | | | | | | | | | | | | | | | | (14955) ~ (all_61_9 = e1)
% 174.99/26.96 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.96 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (263) gives:
% 174.99/26.96 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.96 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.96 | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.96 | | | | | | | | | | | | | | | | | | | | | | | (14956) all_63_8 = e3
% 174.99/26.96 | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.96 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (14916), (14956) imply:
% 174.99/26.96 | | | | | | | | | | | | | | | | | | | | | | | (14957) all_61_8 = e3
% 174.99/26.96 | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.96 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11651), (14957) imply:
% 174.99/26.96 | | | | | | | | | | | | | | | | | | | | | | | (14958) ~ (all_8_1 = e3)
% 174.99/26.96 | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.96 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (190), (257), (260), (265), (269), (489), (497),
% 174.99/26.96 | | | | | | | | | | | | | | | | | | | | | | | (11612), (11613), (11645), (11646), (11651),
% 174.99/26.96 | | | | | | | | | | | | | | | | | | | | | | | (11652), (11657), (14888), (14900), (14901),
% 174.99/26.96 | | | | | | | | | | | | | | | | | | | | | | | (14954), (14955), (14958) are inconsistent by
% 174.99/26.96 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #131.
% 174.99/26.96 | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.96 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.96 | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.96 | | | | | | | | | | | | | | | | | | | | | | | (14959) ~ (all_63_8 = e3)
% 174.99/26.96 | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.96 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14916), (14959) imply:
% 174.99/26.96 | | | | | | | | | | | | | | | | | | | | | | | (14960) ~ (all_61_8 = e3)
% 174.99/26.96 | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.96 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (269), (489), (11612), (14308), (14954), (14960)
% 174.99/26.96 | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #400.
% 174.99/26.96 | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.96 | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.99/26.96 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.96 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.96 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.96 | | | | | | | | | | | | | | | | | | | | | | (14961) ~ (unit = e1)
% 174.99/26.96 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.96 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (270), (11696), (14945), (14948), (14949), (14961)
% 174.99/26.96 | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #230.
% 174.99/26.96 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.96 | | | | | | | | | | | | | | | | | | | | | End of split
% 174.99/26.96 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.96 | | | | | | | | | | | | | | | | | | | | End of split
% 174.99/26.96 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.96 | | | | | | | | | | | | | | | | | | | End of split
% 174.99/26.96 | | | | | | | | | | | | | | | | | | |
% 174.99/26.96 | | | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.96 | | | | | | | | | | | | | | | | | | |
% 174.99/26.96 | | | | | | | | | | | | | | | | | | | (14962) all_58_2 = e3
% 174.99/26.96 | | | | | | | | | | | | | | | | | | |
% 174.99/26.96 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (478), (14925), (14962) are inconsistent by
% 174.99/26.96 | | | | | | | | | | | | | | | | | | | sub-proof #507.
% 174.99/26.96 | | | | | | | | | | | | | | | | | | |
% 174.99/26.96 | | | | | | | | | | | | | | | | | | End of split
% 174.99/26.96 | | | | | | | | | | | | | | | | | |
% 174.99/26.96 | | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.96 | | | | | | | | | | | | | | | | | |
% 174.99/26.96 | | | | | | | | | | | | | | | | | | (14963) all_58_0 = e1
% 174.99/26.96 | | | | | | | | | | | | | | | | | |
% 174.99/26.96 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (484), (14963) imply:
% 174.99/26.96 | | | | | | | | | | | | | | | | | | (14964) all_52_0 = e1
% 174.99/26.96 | | | | | | | | | | | | | | | | | |
% 174.99/26.96 | | | | | | | | | | | | | | | | | | SIMP: (14964) implies:
% 174.99/26.96 | | | | | | | | | | | | | | | | | | (14965) all_52_0 = e1
% 174.99/26.96 | | | | | | | | | | | | | | | | | |
% 174.99/26.96 | | | | | | | | | | | | | | | | | | REDUCE: (714), (14965) imply:
% 174.99/26.96 | | | | | | | | | | | | | | | | | | (14966) op(e3, e1) = unit
% 174.99/26.96 | | | | | | | | | | | | | | | | | |
% 174.99/26.96 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_8, unit, e1, e3,
% 174.99/26.96 | | | | | | | | | | | | | | | | | | simplifying with (236), (14966) gives:
% 174.99/26.96 | | | | | | | | | | | | | | | | | | (14967) all_61_8 = unit
% 174.99/26.96 | | | | | | | | | | | | | | | | | |
% 174.99/26.96 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (14916), (14967) imply:
% 174.99/26.96 | | | | | | | | | | | | | | | | | | (14968) all_63_8 = unit
% 174.99/26.96 | | | | | | | | | | | | | | | | | |
% 174.99/26.96 | | | | | | | | | | | | | | | | | | REDUCE: (190), (14967) imply:
% 174.99/26.96 | | | | | | | | | | | | | | | | | | (14969) ~ (all_61_9 = unit)
% 174.99/26.96 | | | | | | | | | | | | | | | | | |
% 174.99/26.96 | | | | | | | | | | | | | | | | | | SIMP: (14969) implies:
% 174.99/26.96 | | | | | | | | | | | | | | | | | | (14970) ~ (all_61_9 = unit)
% 174.99/26.96 | | | | | | | | | | | | | | | | | |
% 174.99/26.96 | | | | | | | | | | | | | | | | | | REDUCE: (14354), (14967) imply:
% 174.99/26.96 | | | | | | | | | | | | | | | | | | (14971) ~ (all_14_1 = unit)
% 174.99/26.96 | | | | | | | | | | | | | | | | | |
% 174.99/26.96 | | | | | | | | | | | | | | | | | | SIMP: (14971) implies:
% 174.99/26.96 | | | | | | | | | | | | | | | | | | (14972) ~ (all_14_1 = unit)
% 174.99/26.96 | | | | | | | | | | | | | | | | | |
% 174.99/26.96 | | | | | | | | | | | | | | | | | | REDUCE: (14308), (14967) imply:
% 174.99/26.96 | | | | | | | | | | | | | | | | | | (14973) ~ (unit = e2)
% 174.99/26.96 | | | | | | | | | | | | | | | | | |
% 174.99/26.96 | | | | | | | | | | | | | | | | | | REDUCE: (11612), (14967) imply:
% 174.99/26.96 | | | | | | | | | | | | | | | | | | (14974) ~ (unit = e0)
% 174.99/26.96 | | | | | | | | | | | | | | | | | |
% 174.99/26.96 | | | | | | | | | | | | | | | | | | BETA: splitting (263) gives:
% 174.99/26.96 | | | | | | | | | | | | | | | | | |
% 174.99/26.96 | | | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.96 | | | | | | | | | | | | | | | | | | |
% 174.99/26.96 | | | | | | | | | | | | | | | | | | | (14975) all_63_8 = e3
% 174.99/26.96 | | | | | | | | | | | | | | | | | | |
% 174.99/26.96 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (14968), (14975) imply:
% 174.99/26.96 | | | | | | | | | | | | | | | | | | | (14976) unit = e3
% 174.99/26.96 | | | | | | | | | | | | | | | | | | |
% 174.99/26.96 | | | | | | | | | | | | | | | | | | | REDUCE: (11696), (14976) imply:
% 174.99/26.96 | | | | | | | | | | | | | | | | | | | (14977) $false
% 174.99/26.96 | | | | | | | | | | | | | | | | | | |
% 174.99/26.96 | | | | | | | | | | | | | | | | | | | CLOSE: (14977) is inconsistent.
% 174.99/26.96 | | | | | | | | | | | | | | | | | | |
% 174.99/26.96 | | | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.96 | | | | | | | | | | | | | | | | | | |
% 174.99/26.96 | | | | | | | | | | | | | | | | | | | (14978) all_63_8 = e2 | all_63_8 = e1 | all_63_8 = e0
% 174.99/26.96 | | | | | | | | | | | | | | | | | | |
% 174.99/26.96 | | | | | | | | | | | | | | | | | | | BETA: splitting (14978) gives:
% 174.99/26.96 | | | | | | | | | | | | | | | | | | |
% 174.99/26.96 | | | | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.96 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.96 | | | | | | | | | | | | | | | | | | | | (14979) all_63_8 = e2
% 174.99/26.96 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.96 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (14968), (14979) imply:
% 174.99/26.96 | | | | | | | | | | | | | | | | | | | | (14980) unit = e2
% 174.99/26.96 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.96 | | | | | | | | | | | | | | | | | | | | REDUCE: (14973), (14980) imply:
% 174.99/26.96 | | | | | | | | | | | | | | | | | | | | (14981) $false
% 174.99/26.96 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.96 | | | | | | | | | | | | | | | | | | | | CLOSE: (14981) is inconsistent.
% 174.99/26.96 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.96 | | | | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.96 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.96 | | | | | | | | | | | | | | | | | | | | (14982) all_63_8 = e1 | all_63_8 = e0
% 174.99/26.96 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.96 | | | | | | | | | | | | | | | | | | | | BETA: splitting (14982) gives:
% 174.99/26.96 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.96 | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.96 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.96 | | | | | | | | | | | | | | | | | | | | | (14983) all_63_8 = e1
% 174.99/26.96 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.96 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (14968), (14983) imply:
% 174.99/26.96 | | | | | | | | | | | | | | | | | | | | | (14984) unit = e1
% 174.99/26.96 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.96 | | | | | | | | | | | | | | | | | | | | | REDUCE: (14970), (14984) imply:
% 174.99/26.96 | | | | | | | | | | | | | | | | | | | | | (14985) ~ (all_61_9 = e1)
% 174.99/26.96 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.96 | | | | | | | | | | | | | | | | | | | | | REDUCE: (14972), (14984) imply:
% 174.99/26.96 | | | | | | | | | | | | | | | | | | | | | (14986) ~ (all_14_1 = e1)
% 174.99/26.96 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.96 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (258), (265), (267), (497), (11613), (14341),
% 174.99/26.96 | | | | | | | | | | | | | | | | | | | | | (14358), (14693), (14727), (14729), (14731),
% 174.99/26.96 | | | | | | | | | | | | | | | | | | | | | (14732), (14886), (14917), (14985), (14986) are
% 174.99/26.96 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #130.
% 174.99/26.96 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.96 | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.96 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.96 | | | | | | | | | | | | | | | | | | | | | (14987) all_63_8 = e0
% 174.99/26.96 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.96 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (14968), (14987) imply:
% 174.99/26.96 | | | | | | | | | | | | | | | | | | | | | (14988) unit = e0
% 174.99/26.96 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.96 | | | | | | | | | | | | | | | | | | | | | REDUCE: (14974), (14988) imply:
% 174.99/26.96 | | | | | | | | | | | | | | | | | | | | | (14989) $false
% 174.99/26.96 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.96 | | | | | | | | | | | | | | | | | | | | | CLOSE: (14989) is inconsistent.
% 174.99/26.96 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.96 | | | | | | | | | | | | | | | | | | | | End of split
% 174.99/26.96 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.96 | | | | | | | | | | | | | | | | | | | End of split
% 174.99/26.96 | | | | | | | | | | | | | | | | | | |
% 174.99/26.96 | | | | | | | | | | | | | | | | | | End of split
% 174.99/26.96 | | | | | | | | | | | | | | | | | |
% 174.99/26.96 | | | | | | | | | | | | | | | | | End of split
% 174.99/26.96 | | | | | | | | | | | | | | | | |
% 174.99/26.96 | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.96 | | | | | | | | | | | | | | | | |
% 174.99/26.96 | | | | | | | | | | | | | | | | | (14990) all_58_2 = e2
% 174.99/26.96 | | | | | | | | | | | | | | | | |
% 174.99/26.96 | | | | | | | | | | | | | | | | | REF_CLOSE: (478), (14921), (14990) are inconsistent by
% 174.99/26.96 | | | | | | | | | | | | | | | | | sub-proof #433.
% 174.99/26.96 | | | | | | | | | | | | | | | | |
% 174.99/26.96 | | | | | | | | | | | | | | | | End of split
% 174.99/26.96 | | | | | | | | | | | | | | | |
% 174.99/26.96 | | | | | | | | | | | | | | | Case 2:
% 174.99/26.96 | | | | | | | | | | | | | | | |
% 174.99/26.96 | | | | | | | | | | | | | | | | (14991) all_58_1 = e1
% 174.99/26.96 | | | | | | | | | | | | | | | |
% 174.99/26.96 | | | | | | | | | | | | | | | | COMBINE_EQS: (481), (14991) imply:
% 174.99/26.96 | | | | | | | | | | | | | | | | (14992) all_52_1 = e1
% 174.99/26.96 | | | | | | | | | | | | | | | |
% 174.99/26.96 | | | | | | | | | | | | | | | | SIMP: (14992) implies:
% 174.99/26.96 | | | | | | | | | | | | | | | | (14993) all_52_1 = e1
% 174.99/26.96 | | | | | | | | | | | | | | | |
% 174.99/26.96 | | | | | | | | | | | | | | | | REDUCE: (731), (14993) imply:
% 174.99/26.96 | | | | | | | | | | | | | | | | (14994) op(e2, e1) = unit
% 174.99/26.96 | | | | | | | | | | | | | | | |
% 174.99/26.96 | | | | | | | | | | | | | | | | REF_CLOSE: (8), (50), (232), (14737), (14886), (14994) are
% 174.99/26.96 | | | | | | | | | | | | | | | | inconsistent by sub-proof #162.
% 174.99/26.96 | | | | | | | | | | | | | | | |
% 174.99/26.96 | | | | | | | | | | | | | | | End of split
% 174.99/26.96 | | | | | | | | | | | | | | |
% 174.99/26.96 | | | | | | | | | | | | | | End of split
% 174.99/26.96 | | | | | | | | | | | | | |
% 174.99/26.96 | | | | | | | | | | | | | End of split
% 174.99/26.96 | | | | | | | | | | | | |
% 174.99/26.96 | | | | | | | | | | | | Case 2:
% 174.99/26.96 | | | | | | | | | | | | |
% 174.99/26.96 | | | | | | | | | | | | | (14995) all_28_2 = e3
% 174.99/26.96 | | | | | | | | | | | | |
% 174.99/26.96 | | | | | | | | | | | | | COMBINE_EQS: (563), (14995) imply:
% 174.99/26.96 | | | | | | | | | | | | | (14996) all_20_2 = e3
% 174.99/26.96 | | | | | | | | | | | | |
% 174.99/26.96 | | | | | | | | | | | | | REF_CLOSE: (3), (8), (9), (22), (50), (76), (148), (150),
% 174.99/26.96 | | | | | | | | | | | | | (157), (158), (161), (163), (164), (165), (229),
% 174.99/26.96 | | | | | | | | | | | | | (232), (475), (478), (481), (484), (536), (539),
% 174.99/26.96 | | | | | | | | | | | | | (630), (632), (659), (672), (731), (748), (765),
% 174.99/26.96 | | | | | | | | | | | | | (11606), (11613), (11652), (11662), (11696),
% 174.99/26.96 | | | | | | | | | | | | | (11697), (14392), (14689), (14702), (14729),
% 174.99/26.96 | | | | | | | | | | | | | (14734), (14735), (14737), (14996) are
% 174.99/26.96 | | | | | | | | | | | | | inconsistent by sub-proof #147.
% 174.99/26.96 | | | | | | | | | | | | |
% 174.99/26.96 | | | | | | | | | | | | End of split
% 174.99/26.96 | | | | | | | | | | | |
% 174.99/26.96 | | | | | | | | | | | End of split
% 174.99/26.96 | | | | | | | | | | |
% 174.99/26.96 | | | | | | | | | | End of split
% 174.99/26.96 | | | | | | | | | |
% 174.99/26.96 | | | | | | | | | Case 2:
% 174.99/26.96 | | | | | | | | | |
% 174.99/26.96 | | | | | | | | | | (14997) all_20_2 = e2
% 174.99/26.96 | | | | | | | | | | (14998) op(e0, e2) = all_20_1 & $i(all_20_1) & ( ~
% 174.99/26.96 | | | | | | | | | | (all_20_1 = e1) | ( ~ (all_20_0 = e3) & op(e1,
% 174.99/26.96 | | | | | | | | | | e0) = all_20_0 & $i(all_20_0)))
% 174.99/26.96 | | | | | | | | | |
% 174.99/26.96 | | | | | | | | | | ALPHA: (14998) implies:
% 174.99/26.96 | | | | | | | | | | (14999) op(e0, e2) = all_20_1
% 174.99/26.96 | | | | | | | | | | (15000) ~ (all_20_1 = e1) | ( ~ (all_20_0 = e3) & op(e1,
% 174.99/26.96 | | | | | | | | | | e0) = all_20_0 & $i(all_20_0))
% 174.99/26.96 | | | | | | | | | |
% 174.99/26.96 | | | | | | | | | | COMBINE_EQS: (581), (14997) imply:
% 174.99/26.96 | | | | | | | | | | (15001) all_46_2 = e2
% 174.99/26.96 | | | | | | | | | |
% 174.99/26.96 | | | | | | | | | | REDUCE: (626), (14997) imply:
% 174.99/26.96 | | | | | | | | | | (15002) ~ (all_61_13 = e2)
% 174.99/26.96 | | | | | | | | | |
% 174.99/26.96 | | | | | | | | | | REDUCE: (11656), (14997) imply:
% 174.99/26.96 | | | | | | | | | | (15003) ~ (all_8_1 = e2)
% 174.99/26.96 | | | | | | | | | |
% 174.99/26.96 | | | | | | | | | | SIMP: (15003) implies:
% 174.99/26.96 | | | | | | | | | | (15004) ~ (all_8_1 = e2)
% 174.99/26.96 | | | | | | | | | |
% 174.99/26.96 | | | | | | | | | | REDUCE: (695), (14997) imply:
% 174.99/26.96 | | | | | | | | | | (15005) op(e2, e2) = all_65_75
% 174.99/26.96 | | | | | | | | | |
% 174.99/26.96 | | | | | | | | | | REDUCE: (696), (14997) imply:
% 174.99/26.96 | | | | | | | | | | (15006) op(e2, e1) = all_65_77
% 174.99/26.96 | | | | | | | | | |
% 174.99/26.96 | | | | | | | | | | REDUCE: (697), (14997) imply:
% 174.99/26.96 | | | | | | | | | | (15007) op(e2, e0) = all_65_78
% 174.99/26.96 | | | | | | | | | |
% 174.99/26.96 | | | | | | | | | | REDUCE: (730), (14997) imply:
% 174.99/26.96 | | | | | | | | | | (15008) op(e2, e2) = all_65_31
% 174.99/26.96 | | | | | | | | | |
% 174.99/26.96 | | | | | | | | | | REDUCE: (11689), (14997) imply:
% 174.99/26.96 | | | | | | | | | | (15009) op(e1, e2) = all_65_77
% 174.99/26.96 | | | | | | | | | |
% 174.99/26.96 | | | | | | | | | | REDUCE: (764), (14997) imply:
% 174.99/26.96 | | | | | | | | | | (15010) op(e0, e2) = all_65_78
% 174.99/26.96 | | | | | | | | | |
% 174.99/26.96 | | | | | | | | | | REDUCE: (76), (14997) imply:
% 174.99/26.96 | | | | | | | | | | (15011) op(e0, e0) = e2
% 174.99/26.96 | | | | | | | | | |
% 174.99/26.96 | | | | | | | | | | BETA: splitting (116) gives:
% 174.99/26.96 | | | | | | | | | |
% 174.99/26.96 | | | | | | | | | | Case 1:
% 174.99/26.96 | | | | | | | | | | |
% 174.99/26.96 | | | | | | | | | | | (15012) ~ (all_46_2 = e2)
% 174.99/26.96 | | | | | | | | | | |
% 174.99/26.96 | | | | | | | | | | | REDUCE: (15001), (15012) imply:
% 174.99/26.96 | | | | | | | | | | | (15013) $false
% 174.99/26.96 | | | | | | | | | | |
% 174.99/26.96 | | | | | | | | | | | CLOSE: (15013) is inconsistent.
% 174.99/26.96 | | | | | | | | | | |
% 174.99/26.96 | | | | | | | | | | Case 2:
% 174.99/26.96 | | | | | | | | | | |
% 174.99/26.96 | | | | | | | | | | | (15014) op(e0, e2) = all_46_1 & $i(all_46_1) & ( ~
% 174.99/26.96 | | | | | | | | | | | (all_46_1 = e3) | ( ~ (all_46_0 = e1) & op(e3,
% 174.99/26.96 | | | | | | | | | | | e0) = all_46_0 & $i(all_46_0)))
% 174.99/26.96 | | | | | | | | | | |
% 174.99/26.96 | | | | | | | | | | | ALPHA: (15014) implies:
% 174.99/26.96 | | | | | | | | | | | (15015) op(e0, e2) = all_46_1
% 174.99/26.96 | | | | | | | | | | |
% 174.99/26.96 | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_7, all_46_1, e2,
% 174.99/26.96 | | | | | | | | | | | e0, simplifying with (225), (15015) gives:
% 174.99/26.96 | | | | | | | | | | | (15016) all_61_7 = all_46_1
% 174.99/26.96 | | | | | | | | | | |
% 174.99/26.96 | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_7, all_65_78, e2,
% 174.99/26.96 | | | | | | | | | | | e0, simplifying with (225), (15010) gives:
% 174.99/26.96 | | | | | | | | | | | (15017) all_65_78 = all_61_7
% 174.99/26.96 | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | GROUND_INST: instantiating (50) with all_20_1, all_65_78, e2,
% 174.99/26.97 | | | | | | | | | | | e0, simplifying with (14999), (15010) gives:
% 174.99/26.97 | | | | | | | | | | | (15018) all_65_78 = all_20_1
% 174.99/26.97 | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_6, all_65_77, e2,
% 174.99/26.97 | | | | | | | | | | | e1, simplifying with (229), (15009) gives:
% 174.99/26.97 | | | | | | | | | | | (15019) all_65_77 = all_61_6
% 174.99/26.97 | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_13, all_65_78, e0,
% 174.99/26.97 | | | | | | | | | | | e2, simplifying with (231), (15007) gives:
% 174.99/26.97 | | | | | | | | | | | (15020) all_65_78 = all_61_13
% 174.99/26.97 | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_9, all_65_77, e1,
% 174.99/26.97 | | | | | | | | | | | e2, simplifying with (232), (15006) gives:
% 174.99/26.97 | | | | | | | | | | | (15021) all_65_77 = all_61_9
% 174.99/26.97 | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | GROUND_INST: instantiating (50) with all_6_2, all_65_31, e2,
% 174.99/26.97 | | | | | | | | | | | e2, simplifying with (55), (15008) gives:
% 174.99/26.97 | | | | | | | | | | | (15022) all_65_31 = all_6_2
% 174.99/26.97 | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_75, all_65_31, e2,
% 174.99/26.97 | | | | | | | | | | | e2, simplifying with (15005), (15008) gives:
% 174.99/26.97 | | | | | | | | | | | (15023) all_65_31 = all_65_75
% 174.99/26.97 | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | COMBINE_EQS: (15022), (15023) imply:
% 174.99/26.97 | | | | | | | | | | | (15024) all_65_75 = all_6_2
% 174.99/26.97 | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | COMBINE_EQS: (15019), (15021) imply:
% 174.99/26.97 | | | | | | | | | | | (15025) all_61_6 = all_61_9
% 174.99/26.97 | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | COMBINE_EQS: (15018), (15020) imply:
% 174.99/26.97 | | | | | | | | | | | (15026) all_61_13 = all_20_1
% 174.99/26.97 | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | COMBINE_EQS: (15017), (15020) imply:
% 174.99/26.97 | | | | | | | | | | | (15027) all_61_7 = all_61_13
% 174.99/26.97 | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | SIMP: (15027) implies:
% 174.99/26.97 | | | | | | | | | | | (15028) all_61_7 = all_61_13
% 174.99/26.97 | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | COMBINE_EQS: (15016), (15028) imply:
% 174.99/26.97 | | | | | | | | | | | (15029) all_61_13 = all_46_1
% 174.99/26.97 | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | SIMP: (15029) implies:
% 174.99/26.97 | | | | | | | | | | | (15030) all_61_13 = all_46_1
% 174.99/26.97 | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | COMBINE_EQS: (15026), (15030) imply:
% 174.99/26.97 | | | | | | | | | | | (15031) all_46_1 = all_20_1
% 174.99/26.97 | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | COMBINE_EQS: (15016), (15031) imply:
% 174.99/26.97 | | | | | | | | | | | (15032) all_61_7 = all_20_1
% 174.99/26.97 | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | COMBINE_EQS: (508), (15032) imply:
% 174.99/26.97 | | | | | | | | | | | (15033) all_63_13 = all_20_1
% 174.99/26.97 | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | COMBINE_EQS: (501), (15025) imply:
% 174.99/26.97 | | | | | | | | | | | (15034) all_63_9 = all_61_9
% 174.99/26.97 | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | COMBINE_EQS: (498), (15026) imply:
% 174.99/26.97 | | | | | | | | | | | (15035) all_63_7 = all_20_1
% 174.99/26.97 | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | REDUCE: (207), (15032) imply:
% 174.99/26.97 | | | | | | | | | | | (15036) ~ (all_61_3 = all_20_1)
% 174.99/26.97 | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | REDUCE: (14350), (15025) imply:
% 174.99/26.97 | | | | | | | | | | | (15037) ~ (all_61_9 = all_14_1)
% 174.99/26.97 | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | REDUCE: (184), (15026) imply:
% 174.99/26.97 | | | | | | | | | | | (15038) ~ (all_61_9 = all_20_1)
% 174.99/26.97 | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | REDUCE: (14348), (15026) imply:
% 174.99/26.97 | | | | | | | | | | | (15039) ~ (all_20_1 = all_14_1)
% 174.99/26.97 | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | REDUCE: (11654), (15026) imply:
% 174.99/26.97 | | | | | | | | | | | (15040) ~ (all_20_1 = all_8_1)
% 174.99/26.97 | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | REDUCE: (615), (15026) imply:
% 174.99/26.97 | | | | | | | | | | | (15041) ~ (all_20_1 = all_6_2)
% 174.99/26.97 | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | REDUCE: (15002), (15026) imply:
% 174.99/26.97 | | | | | | | | | | | (15042) ~ (all_20_1 = e2)
% 174.99/26.97 | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | REDUCE: (14363), (15025) imply:
% 174.99/26.97 | | | | | | | | | | | (15043) op(all_61_2, e3) = all_61_9
% 174.99/26.97 | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | REDUCE: (670), (15025) imply:
% 174.99/26.97 | | | | | | | | | | | (15044) op(all_61_9, e3) = all_65_36
% 174.99/26.97 | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | REDUCE: (671), (15025) imply:
% 174.99/26.97 | | | | | | | | | | | (15045) op(all_61_9, e2) = all_65_37
% 174.99/26.97 | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | REDUCE: (673), (15025) imply:
% 174.99/26.97 | | | | | | | | | | | (15046) op(all_61_9, e0) = all_65_39
% 174.99/26.97 | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | REDUCE: (688), (15032) imply:
% 174.99/26.97 | | | | | | | | | | | (15047) op(all_20_1, e1) = all_65_61
% 174.99/26.97 | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | REDUCE: (664), (15026) imply:
% 174.99/26.97 | | | | | | | | | | | (15048) op(all_20_1, e1) = all_65_30
% 174.99/26.97 | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | REDUCE: (707), (15025) imply:
% 174.99/26.97 | | | | | | | | | | | (15049) op(e3, all_61_9) = all_65_9
% 174.99/26.97 | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | REDUCE: (711), (15032) imply:
% 174.99/26.97 | | | | | | | | | | | (15050) op(e3, all_20_1) = all_65_13
% 174.99/26.97 | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | REDUCE: (14389), (15026) imply:
% 174.99/26.97 | | | | | | | | | | | (15051) op(e3, all_20_1) = all_65_19
% 174.99/26.97 | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | REDUCE: (724), (15025) imply:
% 174.99/26.97 | | | | | | | | | | | (15052) op(e2, all_61_9) = all_65_25
% 174.99/26.97 | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | REDUCE: (11688), (15032) imply:
% 174.99/26.97 | | | | | | | | | | | (15053) op(e1, all_20_1) = all_65_67
% 174.99/26.97 | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | REDUCE: (739), (15026) imply:
% 174.99/26.97 | | | | | | | | | | | (15054) op(e1, all_20_1) = all_65_39
% 174.99/26.97 | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_67, all_65_39,
% 174.99/26.97 | | | | | | | | | | | all_20_1, e1, simplifying with (15053), (15054)
% 174.99/26.97 | | | | | | | | | | | gives:
% 174.99/26.97 | | | | | | | | | | | (15055) all_65_39 = all_65_67
% 174.99/26.97 | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_22, all_65_25,
% 174.99/26.97 | | | | | | | | | | | all_61_9, e2, simplifying with (721), (15052)
% 174.99/26.97 | | | | | | | | | | | gives:
% 174.99/26.97 | | | | | | | | | | | (15056) all_65_22 = all_65_25
% 174.99/26.97 | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_19, all_65_13,
% 174.99/26.97 | | | | | | | | | | | all_20_1, e3, simplifying with (15050), (15051)
% 174.99/26.97 | | | | | | | | | | | gives:
% 174.99/26.97 | | | | | | | | | | | (15057) all_65_13 = all_65_19
% 174.99/26.97 | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_18, all_65_9,
% 174.99/26.97 | | | | | | | | | | | all_61_9, e3, simplifying with (14388), (15049)
% 174.99/26.97 | | | | | | | | | | | gives:
% 174.99/26.97 | | | | | | | | | | | (15058) all_65_9 = all_65_18
% 174.99/26.97 | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_61, all_65_30, e1,
% 174.99/26.97 | | | | | | | | | | | all_20_1, simplifying with (15047), (15048) gives:
% 174.99/26.97 | | | | | | | | | | | (15059) all_65_30 = all_65_61
% 174.99/26.97 | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_30, all_65_39, e0,
% 174.99/26.97 | | | | | | | | | | | all_61_9, simplifying with (11686), (15046) gives:
% 174.99/26.97 | | | | | | | | | | | (15060) all_65_30 = all_65_39
% 174.99/26.97 | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_25, all_65_37, e2,
% 174.99/26.97 | | | | | | | | | | | all_61_9, simplifying with (659), (15045) gives:
% 174.99/26.97 | | | | | | | | | | | (15061) all_65_25 = all_65_37
% 174.99/26.97 | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_24, all_65_36, e3,
% 174.99/26.97 | | | | | | | | | | | all_61_9, simplifying with (658), (15044) gives:
% 174.99/26.97 | | | | | | | | | | | (15062) all_65_24 = all_65_36
% 174.99/26.97 | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | COMBINE_EQS: (15059), (15060) imply:
% 174.99/26.97 | | | | | | | | | | | (15063) all_65_39 = all_65_61
% 174.99/26.97 | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | COMBINE_EQS: (15055), (15063) imply:
% 174.99/26.97 | | | | | | | | | | | (15064) all_65_61 = all_65_67
% 174.99/26.97 | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | COMBINE_EQS: (15055), (15060) imply:
% 174.99/26.97 | | | | | | | | | | | (15065) all_65_30 = all_65_67
% 174.99/26.97 | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | COMBINE_EQS: (15056), (15061) imply:
% 174.99/26.97 | | | | | | | | | | | (15066) all_65_22 = all_65_37
% 174.99/26.97 | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | REDUCE: (15046), (15055) imply:
% 174.99/26.97 | | | | | | | | | | | (15067) op(all_61_9, e0) = all_65_67
% 174.99/26.97 | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | REDUCE: (647), (15057) imply:
% 174.99/26.97 | | | | | | | | | | | (15068) op(all_61_12, e2) = all_65_19
% 174.99/26.97 | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | REDUCE: (656), (15066) imply:
% 174.99/26.97 | | | | | | | | | | | (15069) op(all_6_2, e1) = all_65_37
% 174.99/26.97 | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | REDUCE: (11670), (15065) imply:
% 174.99/26.97 | | | | | | | | | | | (15070) op(e2, all_8_1) = all_65_67
% 174.99/26.97 | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | BETA: splitting (80) gives:
% 174.99/26.97 | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | Case 1:
% 174.99/26.97 | | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | | (15071) ~ (all_22_2 = e0)
% 174.99/26.97 | | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | | REDUCE: (449), (15071) imply:
% 174.99/26.97 | | | | | | | | | | | | (15072) ~ (all_6_2 = e0)
% 174.99/26.97 | | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | | BETA: splitting (266) gives:
% 174.99/26.97 | | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | | Case 1:
% 174.99/26.97 | | | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | | | (15073) all_63_5 = e3
% 174.99/26.97 | | | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | | | COMBINE_EQS: (587), (15073) imply:
% 174.99/26.97 | | | | | | | | | | | | | (15074) all_6_2 = e3
% 174.99/26.97 | | | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | | | REDUCE: (767), (15074) imply:
% 174.99/26.97 | | | | | | | | | | | | | (15075) $false
% 174.99/26.97 | | | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | | | CLOSE: (15075) is inconsistent.
% 174.99/26.97 | | | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | | Case 2:
% 174.99/26.97 | | | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | | | (15076) all_63_5 = e2 | all_63_5 = e1 | all_63_5 = e0
% 174.99/26.97 | | | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | | | BETA: splitting (15076) gives:
% 174.99/26.97 | | | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | | | Case 1:
% 174.99/26.97 | | | | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | | | | (15077) all_63_5 = e2
% 174.99/26.97 | | | | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | | | | COMBINE_EQS: (587), (15077) imply:
% 174.99/26.97 | | | | | | | | | | | | | | (15078) all_6_2 = e2
% 174.99/26.97 | | | | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | | | | REDUCE: (613), (15078) imply:
% 174.99/26.97 | | | | | | | | | | | | | | (15079) ~ (all_61_9 = e2)
% 174.99/26.97 | | | | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | | | | REDUCE: (15069), (15078) imply:
% 174.99/26.97 | | | | | | | | | | | | | | (15080) op(e2, e1) = all_65_37
% 174.99/26.97 | | | | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | | | | REDUCE: (720), (15078) imply:
% 174.99/26.97 | | | | | | | | | | | | | | (15081) op(e2, e2) = all_65_21
% 174.99/26.97 | | | | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | | | | REDUCE: (55), (15078) imply:
% 174.99/26.97 | | | | | | | | | | | | | | (15082) op(e2, e2) = e2
% 174.99/26.97 | | | | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | | | | BETA: splitting (172) gives:
% 174.99/26.97 | | | | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | | | | Case 1:
% 174.99/26.97 | | | | | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | | | | | (15083) ( ~ (all_60_0 = e2) & op(e3, e3) = all_60_0 &
% 174.99/26.97 | | | | | | | | | | | | | | | $i(all_60_0)) | ( ~ (all_60_1 = e2) & op(e2, e2)
% 174.99/26.97 | | | | | | | | | | | | | | | = all_60_1 & $i(all_60_1))
% 174.99/26.97 | | | | | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | | | | | BETA: splitting (15083) gives:
% 174.99/26.97 | | | | | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | | | | | Case 1:
% 174.99/26.97 | | | | | | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | | | | | | (15084) ~ (all_60_0 = e2) & op(e3, e3) = all_60_0 &
% 174.99/26.97 | | | | | | | | | | | | | | | | $i(all_60_0)
% 174.99/26.97 | | | | | | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | | | | | | ALPHA: (15084) implies:
% 174.99/26.97 | | | | | | | | | | | | | | | | (15085) ~ (all_60_0 = e2)
% 174.99/26.97 | | | | | | | | | | | | | | | | (15086) op(e3, e3) = all_60_0
% 174.99/26.97 | | | | | | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e2, all_60_0, e3, e3,
% 174.99/26.97 | | | | | | | | | | | | | | | | simplifying with (14315), (15086) gives:
% 174.99/26.97 | | | | | | | | | | | | | | | | (15087) all_60_0 = e2
% 174.99/26.97 | | | | | | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | | | | | | REDUCE: (15085), (15087) imply:
% 174.99/26.97 | | | | | | | | | | | | | | | | (15088) $false
% 174.99/26.97 | | | | | | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | | | | | | CLOSE: (15088) is inconsistent.
% 174.99/26.97 | | | | | | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | | | | | Case 2:
% 174.99/26.97 | | | | | | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | | | | | | (15089) ~ (all_60_1 = e2) & op(e2, e2) = all_60_1 &
% 174.99/26.97 | | | | | | | | | | | | | | | | $i(all_60_1)
% 174.99/26.97 | | | | | | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | | | | | | ALPHA: (15089) implies:
% 174.99/26.97 | | | | | | | | | | | | | | | | (15090) ~ (all_60_1 = e2)
% 174.99/26.97 | | | | | | | | | | | | | | | | (15091) op(e2, e2) = all_60_1
% 174.99/26.97 | | | | | | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | | | | | | REF_CLOSE: (50), (15081), (15082), (15090), (15091) are
% 174.99/26.97 | | | | | | | | | | | | | | | | inconsistent by sub-proof #345.
% 174.99/26.97 | | | | | | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | | | | | End of split
% 174.99/26.97 | | | | | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | | | | Case 2:
% 174.99/26.97 | | | | | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | | | | | (15092) ( ~ (all_60_2 = e2) & op(e1, e1) = all_60_2 &
% 174.99/26.97 | | | | | | | | | | | | | | | $i(all_60_2)) | ( ~ (all_60_3 = e2) & op(e0, e0)
% 174.99/26.97 | | | | | | | | | | | | | | | = all_60_3 & $i(all_60_3))
% 174.99/26.97 | | | | | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | | | | | BETA: splitting (15092) gives:
% 174.99/26.97 | | | | | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | | | | | Case 1:
% 174.99/26.97 | | | | | | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | | | | | | (15093) ~ (all_60_2 = e2) & op(e1, e1) = all_60_2 &
% 174.99/26.97 | | | | | | | | | | | | | | | | $i(all_60_2)
% 174.99/26.97 | | | | | | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | | | | | | ALPHA: (15093) implies:
% 174.99/26.97 | | | | | | | | | | | | | | | | (15094) op(e1, e1) = all_60_2
% 174.99/26.97 | | | | | | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e0, all_60_2, e1, e1,
% 174.99/26.97 | | | | | | | | | | | | | | | | simplifying with (11622), (15094) gives:
% 174.99/26.97 | | | | | | | | | | | | | | | | (15095) all_60_2 = e0
% 174.99/26.97 | | | | | | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_9, all_65_37, e1,
% 174.99/26.97 | | | | | | | | | | | | | | | | e2, simplifying with (232), (15080) gives:
% 174.99/26.97 | | | | | | | | | | | | | | | | (15096) all_65_37 = all_61_9
% 174.99/26.97 | | | | | | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | | | | | | BETA: splitting (162) gives:
% 174.99/26.97 | | | | | | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.97 | | | | | | | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | | | | | | | (15097) ~ (all_58_2 = e3)
% 174.99/26.97 | | | | | | | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | | | | | | | REDUCE: (478), (15097) imply:
% 174.99/26.97 | | | | | | | | | | | | | | | | | (15098) ~ (all_52_2 = e3)
% 174.99/26.97 | | | | | | | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | | | | | | | BETA: splitting (157) gives:
% 174.99/26.97 | | | | | | | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.97 | | | | | | | | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | | | | | | | | (15099) ~ (all_58_3 = e1)
% 174.99/26.97 | | | | | | | | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | | | | | | | | REDUCE: (475), (15099) imply:
% 174.99/26.97 | | | | | | | | | | | | | | | | | | (15100) ~ (all_52_3 = e1)
% 174.99/26.97 | | | | | | | | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | | | | | | | | BETA: splitting (160) gives:
% 174.99/26.97 | | | | | | | | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.97 | | | | | | | | | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | | | | | | | | | (15101) ~ (all_58_2 = e0)
% 174.99/26.97 | | | | | | | | | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | | | | | | | | | REDUCE: (478), (15101) imply:
% 174.99/26.97 | | | | | | | | | | | | | | | | | | | (15102) ~ (all_52_2 = e0)
% 174.99/26.97 | | | | | | | | | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (50), (149), (161), (229), (231), (232),
% 174.99/26.97 | | | | | | | | | | | | | | | | | | | (478), (481), (538), (731), (738), (748), (11613),
% 174.99/26.97 | | | | | | | | | | | | | | | | | | | (11622), (11659), (11673), (11697), (15002),
% 174.99/26.97 | | | | | | | | | | | | | | | | | | | (15079), (15098), (15102) are inconsistent by
% 174.99/26.97 | | | | | | | | | | | | | | | | | | | sub-proof #171.
% 174.99/26.97 | | | | | | | | | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.97 | | | | | | | | | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | | | | | | | | | (15103) all_58_3 = e1
% 174.99/26.97 | | | | | | | | | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (475), (15100), (15103) are inconsistent by
% 174.99/26.97 | | | | | | | | | | | | | | | | | | | sub-proof #460.
% 174.99/26.97 | | | | | | | | | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | | | | | | | | End of split
% 174.99/26.97 | | | | | | | | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.97 | | | | | | | | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | | | | | | | | (15104) all_58_2 = e0
% 174.99/26.97 | | | | | | | | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (478), (15104) imply:
% 174.99/26.97 | | | | | | | | | | | | | | | | | | (15105) all_52_2 = e0
% 174.99/26.97 | | | | | | | | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | | | | | | | | SIMP: (15105) implies:
% 174.99/26.97 | | | | | | | | | | | | | | | | | | (15106) all_52_2 = e0
% 174.99/26.97 | | | | | | | | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | | | | | | | | REDUCE: (748), (15106) imply:
% 174.99/26.97 | | | | | | | | | | | | | | | | | | (15107) op(e1, e0) = unit
% 174.99/26.97 | | | | | | | | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_8_1, unit, e0, e1,
% 174.99/26.97 | | | | | | | | | | | | | | | | | | simplifying with (11606), (15107) gives:
% 174.99/26.97 | | | | | | | | | | | | | | | | | | (15108) all_8_1 = unit
% 174.99/26.97 | | | | | | | | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | | | | | | | | REDUCE: (11651), (15108) imply:
% 174.99/26.97 | | | | | | | | | | | | | | | | | | (15109) ~ (all_61_8 = unit)
% 174.99/26.97 | | | | | | | | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | | | | | | | | REDUCE: (11652), (15108) imply:
% 174.99/26.97 | | | | | | | | | | | | | | | | | | (15110) ~ (all_61_9 = unit)
% 174.99/26.97 | | | | | | | | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | | | | | | | | REDUCE: (15004), (15108) imply:
% 174.99/26.97 | | | | | | | | | | | | | | | | | | (15111) ~ (unit = e2)
% 174.99/26.97 | | | | | | | | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | | | | | | | | REDUCE: (11657), (15108) imply:
% 174.99/26.97 | | | | | | | | | | | | | | | | | | (15112) ~ (unit = e0)
% 174.99/26.97 | | | | | | | | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | | | | | | | | BETA: splitting (11697) gives:
% 174.99/26.97 | | | | | | | | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.97 | | | | | | | | | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | | | | | | | | | (15113) unit = e2
% 174.99/26.97 | | | | | | | | | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | | | | | | | | | REDUCE: (15111), (15113) imply:
% 174.99/26.97 | | | | | | | | | | | | | | | | | | | (15114) $false
% 174.99/26.97 | | | | | | | | | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | | | | | | | | | CLOSE: (15114) is inconsistent.
% 174.99/26.97 | | | | | | | | | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.97 | | | | | | | | | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | | | | | | | | | (15115) unit = e1 | unit = e0
% 174.99/26.97 | | | | | | | | | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | | | | | | | | | BETA: splitting (15115) gives:
% 174.99/26.97 | | | | | | | | | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.97 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | | | | | | | | | | (15116) unit = e1
% 174.99/26.97 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | | | | | | | | | | REDUCE: (15109), (15116) imply:
% 174.99/26.97 | | | | | | | | | | | | | | | | | | | | (15117) ~ (all_61_8 = e1)
% 174.99/26.97 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | | | | | | | | | | REDUCE: (15110), (15116) imply:
% 174.99/26.97 | | | | | | | | | | | | | | | | | | | | (15118) ~ (all_61_9 = e1)
% 174.99/26.97 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (190), (265), (269), (489), (497), (11612),
% 174.99/26.97 | | | | | | | | | | | | | | | | | | | | (11613), (14308), (15079), (15117), (15118) are
% 174.99/26.97 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #342.
% 174.99/26.97 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.97 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | | | | | | | | | | (15119) ~ (unit = e1)
% 174.99/26.97 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15112), (15115), (15119) are inconsistent by
% 174.99/26.97 | | | | | | | | | | | | | | | | | | | | sub-proof #419.
% 174.99/26.97 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | | | | | | | | | End of split
% 174.99/26.97 | | | | | | | | | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | | | | | | | | End of split
% 174.99/26.97 | | | | | | | | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | | | | | | | End of split
% 174.99/26.97 | | | | | | | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.97 | | | | | | | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | | | | | | | (15120) all_58_0 = e1
% 174.99/26.97 | | | | | | | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | | | | | | | COMBINE_EQS: (484), (15120) imply:
% 174.99/26.97 | | | | | | | | | | | | | | | | | (15121) all_52_0 = e1
% 174.99/26.97 | | | | | | | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | | | | | | | SIMP: (15121) implies:
% 174.99/26.97 | | | | | | | | | | | | | | | | | (15122) all_52_0 = e1
% 174.99/26.97 | | | | | | | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | | | | | | | REDUCE: (714), (15122) imply:
% 174.99/26.97 | | | | | | | | | | | | | | | | | (15123) op(e3, e1) = unit
% 174.99/26.97 | | | | | | | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_8, unit, e1, e3,
% 174.99/26.97 | | | | | | | | | | | | | | | | | simplifying with (236), (15123) gives:
% 174.99/26.97 | | | | | | | | | | | | | | | | | (15124) all_61_8 = unit
% 174.99/26.97 | | | | | | | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | | | | | | | REDUCE: (190), (15124) imply:
% 174.99/26.97 | | | | | | | | | | | | | | | | | (15125) ~ (all_61_9 = unit)
% 174.99/26.97 | | | | | | | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | | | | | | | SIMP: (15125) implies:
% 174.99/26.97 | | | | | | | | | | | | | | | | | (15126) ~ (all_61_9 = unit)
% 174.99/26.97 | | | | | | | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | | | | | | | REDUCE: (11651), (15124) imply:
% 174.99/26.97 | | | | | | | | | | | | | | | | | (15127) ~ (all_8_1 = unit)
% 174.99/26.97 | | | | | | | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | | | | | | | SIMP: (15127) implies:
% 174.99/26.97 | | | | | | | | | | | | | | | | | (15128) ~ (all_8_1 = unit)
% 174.99/26.97 | | | | | | | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | | | | | | | REDUCE: (14308), (15124) imply:
% 174.99/26.97 | | | | | | | | | | | | | | | | | (15129) ~ (unit = e2)
% 174.99/26.97 | | | | | | | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | | | | | | | REDUCE: (11612), (15124) imply:
% 174.99/26.97 | | | | | | | | | | | | | | | | | (15130) ~ (unit = e0)
% 174.99/26.97 | | | | | | | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | | | | | | | BETA: splitting (11697) gives:
% 174.99/26.97 | | | | | | | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.97 | | | | | | | | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | | | | | | | | (15131) unit = e2
% 174.99/26.97 | | | | | | | | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | | | | | | | | REDUCE: (15129), (15131) imply:
% 174.99/26.97 | | | | | | | | | | | | | | | | | | (15132) $false
% 174.99/26.97 | | | | | | | | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | | | | | | | | CLOSE: (15132) is inconsistent.
% 174.99/26.97 | | | | | | | | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.97 | | | | | | | | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | | | | | | | | (15133) unit = e1 | unit = e0
% 174.99/26.97 | | | | | | | | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | | | | | | | | BETA: splitting (15133) gives:
% 174.99/26.97 | | | | | | | | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.97 | | | | | | | | | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | | | | | | | | | (15134) unit = e1
% 174.99/26.97 | | | | | | | | | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | | | | | | | | | REDUCE: (15126), (15134) imply:
% 174.99/26.97 | | | | | | | | | | | | | | | | | | | (15135) ~ (all_61_9 = e1)
% 174.99/26.97 | | | | | | | | | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | | | | | | | | | REDUCE: (15128), (15134) imply:
% 174.99/26.97 | | | | | | | | | | | | | | | | | | | (15136) ~ (all_8_1 = e1)
% 174.99/26.97 | | | | | | | | | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | | | | | | | | | BETA: splitting (260) gives:
% 174.99/26.97 | | | | | | | | | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.97 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | | | | | | | | | | (15137) all_63_11 = e3
% 174.99/26.97 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11646), (15137) imply:
% 174.99/26.97 | | | | | | | | | | | | | | | | | | | | (15138) all_8_1 = e3
% 174.99/26.97 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | | | | | | | | | | REDUCE: (11652), (15138) imply:
% 174.99/26.97 | | | | | | | | | | | | | | | | | | | | (15139) ~ (all_61_9 = e3)
% 174.99/26.97 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (265), (497), (11613), (15079), (15135), (15139)
% 174.99/26.97 | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #395.
% 174.99/26.97 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.97 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | | | | | | | | | | (15140) ~ (all_63_11 = e3)
% 174.99/26.97 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | | | | | | | | | | REDUCE: (11646), (15140) imply:
% 174.99/26.97 | | | | | | | | | | | | | | | | | | | | (15141) ~ (all_8_1 = e3)
% 174.99/26.97 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (257), (11645), (11657), (15004), (15136), (15141)
% 174.99/26.97 | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #150.
% 174.99/26.97 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | | | | | | | | | End of split
% 174.99/26.97 | | | | | | | | | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.97 | | | | | | | | | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | | | | | | | | | (15142) ~ (unit = e1)
% 174.99/26.97 | | | | | | | | | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15130), (15133), (15142) are inconsistent by
% 174.99/26.97 | | | | | | | | | | | | | | | | | | | sub-proof #419.
% 174.99/26.97 | | | | | | | | | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | | | | | | | | End of split
% 174.99/26.97 | | | | | | | | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | | | | | | | End of split
% 174.99/26.97 | | | | | | | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | | | | | | End of split
% 174.99/26.97 | | | | | | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | | | | | Case 2:
% 174.99/26.97 | | | | | | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | | | | | | (15143) ~ (all_60_3 = e2) & op(e0, e0) = all_60_3 &
% 174.99/26.97 | | | | | | | | | | | | | | | | $i(all_60_3)
% 174.99/26.97 | | | | | | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | | | | | | ALPHA: (15143) implies:
% 174.99/26.97 | | | | | | | | | | | | | | | | (15144) ~ (all_60_3 = e2)
% 174.99/26.97 | | | | | | | | | | | | | | | | (15145) op(e0, e0) = all_60_3
% 174.99/26.97 | | | | | | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e2, all_60_3, e0, e0,
% 174.99/26.97 | | | | | | | | | | | | | | | | simplifying with (15011), (15145) gives:
% 174.99/26.97 | | | | | | | | | | | | | | | | (15146) all_60_3 = e2
% 174.99/26.97 | | | | | | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | | | | | | REDUCE: (15144), (15146) imply:
% 174.99/26.97 | | | | | | | | | | | | | | | | (15147) $false
% 174.99/26.97 | | | | | | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | | | | | | CLOSE: (15147) is inconsistent.
% 174.99/26.97 | | | | | | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | | | | | End of split
% 174.99/26.97 | | | | | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | | | | End of split
% 174.99/26.97 | | | | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | | | Case 2:
% 174.99/26.97 | | | | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | | | | (15148) all_63_5 = e1 | all_63_5 = e0
% 174.99/26.97 | | | | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | | | | REF_CLOSE: (587), (11699), (15072), (15148) are inconsistent
% 174.99/26.97 | | | | | | | | | | | | | | by sub-proof #524.
% 174.99/26.97 | | | | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | | | End of split
% 174.99/26.97 | | | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | | End of split
% 174.99/26.97 | | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | Case 2:
% 174.99/26.97 | | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | | (15149) all_22_2 = e0
% 174.99/26.97 | | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | | COMBINE_EQS: (449), (15149) imply:
% 174.99/26.97 | | | | | | | | | | | | (15150) all_6_2 = e0
% 174.99/26.97 | | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | | REDUCE: (15041), (15150) imply:
% 174.99/26.97 | | | | | | | | | | | | (15151) ~ (all_20_1 = e0)
% 174.99/26.97 | | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | | REDUCE: (14357), (15150) imply:
% 174.99/26.97 | | | | | | | | | | | | (15152) ~ (all_14_1 = e0)
% 174.99/26.97 | | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | | REDUCE: (654), (15150) imply:
% 174.99/26.97 | | | | | | | | | | | | (15153) op(e0, e3) = all_65_20
% 174.99/26.97 | | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | | REDUCE: (14391), (15150) imply:
% 174.99/26.97 | | | | | | | | | | | | (15154) op(e3, e0) = all_65_20
% 174.99/26.97 | | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | | REDUCE: (737), (15150) imply:
% 174.99/26.97 | | | | | | | | | | | | (15155) op(e1, e0) = all_65_37
% 174.99/26.97 | | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | | REDUCE: (754), (15150) imply:
% 174.99/26.97 | | | | | | | | | | | | (15156) op(e0, e0) = all_65_59
% 174.99/26.97 | | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | | GROUND_INST: instantiating (50) with e2, all_65_59, e0, e0,
% 174.99/26.97 | | | | | | | | | | | | simplifying with (15011), (15156) gives:
% 174.99/26.97 | | | | | | | | | | | | (15157) all_65_59 = e2
% 174.99/26.97 | | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_3, all_65_20, e3,
% 174.99/26.97 | | | | | | | | | | | | e0, simplifying with (226), (15153) gives:
% 174.99/26.97 | | | | | | | | | | | | (15158) all_65_20 = all_61_3
% 174.99/26.97 | | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_8_1, all_65_37, e0,
% 174.99/26.97 | | | | | | | | | | | | e1, simplifying with (11606), (15155) gives:
% 174.99/26.97 | | | | | | | | | | | | (15159) all_65_37 = all_8_1
% 174.99/26.97 | | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_12, all_65_20, e0,
% 174.99/26.97 | | | | | | | | | | | | e3, simplifying with (235), (15154) gives:
% 174.99/26.97 | | | | | | | | | | | | (15160) all_65_20 = all_61_12
% 174.99/26.97 | | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | | COMBINE_EQS: (15158), (15160) imply:
% 174.99/26.97 | | | | | | | | | | | | (15161) all_61_3 = all_61_12
% 174.99/26.97 | | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | | SIMP: (15161) implies:
% 174.99/26.97 | | | | | | | | | | | | (15162) all_61_3 = all_61_12
% 174.99/26.97 | | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | | COMBINE_EQS: (506), (15162) imply:
% 174.99/26.97 | | | | | | | | | | | | (15163) all_63_12 = all_61_12
% 174.99/26.97 | | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | | REDUCE: (15036), (15162) imply:
% 174.99/26.97 | | | | | | | | | | | | (15164) ~ (all_61_12 = all_20_1)
% 174.99/26.97 | | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | | REDUCE: (14386), (15162) imply:
% 174.99/26.97 | | | | | | | | | | | | (15165) op(all_61_12, e2) = all_65_57
% 174.99/26.97 | | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | | REDUCE: (684), (15162) imply:
% 174.99/26.97 | | | | | | | | | | | | (15166) op(all_61_12, e1) = all_65_53
% 174.99/26.97 | | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | | REDUCE: (15045), (15159) imply:
% 174.99/26.97 | | | | | | | | | | | | (15167) op(all_61_9, e2) = all_8_1
% 174.99/26.97 | | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | | REDUCE: (14387), (15160) imply:
% 174.99/26.97 | | | | | | | | | | | | (15168) op(all_14_1, e2) = all_61_12
% 174.99/26.97 | | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | | REDUCE: (11672), (15162) imply:
% 174.99/26.97 | | | | | | | | | | | | (15169) op(e1, all_61_2) = all_61_12
% 174.99/26.97 | | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | | REDUCE: (11687), (15162) imply:
% 174.99/26.97 | | | | | | | | | | | | (15170) op(e1, all_61_12) = all_65_65
% 174.99/26.97 | | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_35, all_65_65,
% 174.99/26.97 | | | | | | | | | | | | all_61_12, e1, simplifying with (735), (15170)
% 174.99/26.97 | | | | | | | | | | | | gives:
% 174.99/26.97 | | | | | | | | | | | | (15171) all_65_35 = all_65_65
% 174.99/26.97 | | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_14, all_65_53, e1,
% 174.99/26.97 | | | | | | | | | | | | all_61_12, simplifying with (648), (15166) gives:
% 174.99/26.97 | | | | | | | | | | | | (15172) all_65_14 = all_65_53
% 174.99/26.97 | | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_19, all_65_57, e2,
% 174.99/26.97 | | | | | | | | | | | | all_61_12, simplifying with (15068), (15165)
% 174.99/26.97 | | | | | | | | | | | | gives:
% 174.99/26.97 | | | | | | | | | | | | (15173) all_65_19 = all_65_57
% 174.99/26.97 | | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | | REDUCE: (15051), (15173) imply:
% 174.99/26.97 | | | | | | | | | | | | (15174) op(e3, all_20_1) = all_65_57
% 174.99/26.97 | | | | | | | | | | | |
% 174.99/26.97 | | | | | | | | | | | | REDUCE: (11668), (15172) imply:
% 174.99/26.97 | | | | | | | | | | | | (15175) op(e3, all_8_1) = all_65_53
% 174.99/26.98 | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | REDUCE: (718), (15173) imply:
% 174.99/26.98 | | | | | | | | | | | | (15176) op(e2, all_61_12) = all_65_57
% 174.99/26.98 | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | BETA: splitting (161) gives:
% 174.99/26.98 | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | Case 1:
% 174.99/26.98 | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | (15177) ~ (all_58_2 = e2)
% 174.99/26.98 | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | REDUCE: (478), (15177) imply:
% 174.99/26.98 | | | | | | | | | | | | | (15178) ~ (all_52_2 = e2)
% 174.99/26.98 | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | BETA: splitting (162) gives:
% 174.99/26.98 | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | Case 1:
% 174.99/26.98 | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | (15179) ~ (all_58_2 = e3)
% 174.99/26.98 | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | REDUCE: (478), (15179) imply:
% 174.99/26.98 | | | | | | | | | | | | | | (15180) ~ (all_52_2 = e3)
% 174.99/26.98 | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | BETA: splitting (157) gives:
% 174.99/26.98 | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | Case 1:
% 174.99/26.98 | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | (15181) ~ (all_58_3 = e1)
% 174.99/26.98 | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | REDUCE: (475), (15181) imply:
% 174.99/26.98 | | | | | | | | | | | | | | | (15182) ~ (all_52_3 = e1)
% 174.99/26.98 | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | REF_CLOSE: (3), (19), (50), (149), (160), (475), (478),
% 174.99/26.98 | | | | | | | | | | | | | | | (538), (748), (11622), (15011), (15178), (15180),
% 174.99/26.98 | | | | | | | | | | | | | | | (15182) are inconsistent by sub-proof #145.
% 174.99/26.98 | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | Case 2:
% 174.99/26.98 | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | (15183) all_58_2 = e0
% 174.99/26.98 | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | COMBINE_EQS: (478), (15183) imply:
% 174.99/26.98 | | | | | | | | | | | | | | | (15184) all_52_2 = e0
% 174.99/26.98 | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | SIMP: (15184) implies:
% 174.99/26.98 | | | | | | | | | | | | | | | (15185) all_52_2 = e0
% 174.99/26.98 | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | REDUCE: (748), (15185) imply:
% 174.99/26.98 | | | | | | | | | | | | | | | (15186) op(e1, e0) = unit
% 174.99/26.98 | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_8_1, unit, e0, e1,
% 174.99/26.98 | | | | | | | | | | | | | | | simplifying with (11606), (15186) gives:
% 174.99/26.98 | | | | | | | | | | | | | | | (15187) all_8_1 = unit
% 174.99/26.98 | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | REDUCE: (11647), (15187) imply:
% 174.99/26.98 | | | | | | | | | | | | | | | (15188) ~ (all_61_2 = unit)
% 174.99/26.98 | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | REDUCE: (11651), (15187) imply:
% 174.99/26.98 | | | | | | | | | | | | | | | (15189) ~ (all_61_8 = unit)
% 174.99/26.98 | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | REDUCE: (15040), (15187) imply:
% 174.99/26.98 | | | | | | | | | | | | | | | (15190) ~ (all_20_1 = unit)
% 174.99/26.98 | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | REDUCE: (15004), (15187) imply:
% 174.99/26.98 | | | | | | | | | | | | | | | (15191) ~ (unit = e2)
% 174.99/26.98 | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | REDUCE: (11657), (15187) imply:
% 174.99/26.98 | | | | | | | | | | | | | | | (15192) ~ (unit = e0)
% 174.99/26.98 | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | REDUCE: (11660), (15187) imply:
% 174.99/26.98 | | | | | | | | | | | | | | | (15193) op(unit, e3) = all_65_65
% 174.99/26.98 | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | BETA: splitting (11697) gives:
% 174.99/26.98 | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | Case 1:
% 174.99/26.98 | | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | | (15194) unit = e2
% 174.99/26.98 | | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | | REDUCE: (15191), (15194) imply:
% 174.99/26.98 | | | | | | | | | | | | | | | | (15195) $false
% 174.99/26.98 | | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | | CLOSE: (15195) is inconsistent.
% 174.99/26.98 | | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | Case 2:
% 174.99/26.98 | | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | | (15196) unit = e1 | unit = e0
% 174.99/26.98 | | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | | BETA: splitting (15196) gives:
% 174.99/26.98 | | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.98 | | | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | | | (15197) unit = e1
% 174.99/26.98 | | | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | | | REDUCE: (15188), (15197) imply:
% 174.99/26.98 | | | | | | | | | | | | | | | | | (15198) ~ (all_61_2 = e1)
% 174.99/26.98 | | | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | | | REDUCE: (15189), (15197) imply:
% 174.99/26.98 | | | | | | | | | | | | | | | | | (15199) ~ (all_61_8 = e1)
% 174.99/26.98 | | | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | | | REDUCE: (15190), (15197) imply:
% 174.99/26.98 | | | | | | | | | | | | | | | | | (15200) ~ (all_20_1 = e1)
% 174.99/26.98 | | | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | | | REDUCE: (15193), (15197) imply:
% 174.99/26.98 | | | | | | | | | | | | | | | | | (15201) op(e1, e3) = all_65_65
% 174.99/26.98 | | | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | | | REDUCE: (15186), (15197) imply:
% 174.99/26.98 | | | | | | | | | | | | | | | | | (15202) op(e1, e0) = e1
% 174.99/26.98 | | | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | | | BETA: splitting (269) gives:
% 174.99/26.98 | | | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.98 | | | | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | | | | (15203) all_63_2 = e3
% 174.99/26.98 | | | | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (489), (15203) imply:
% 174.99/26.98 | | | | | | | | | | | | | | | | | | (15204) all_61_8 = e3
% 174.99/26.98 | | | | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | | | | REDUCE: (236), (15204) imply:
% 174.99/26.98 | | | | | | | | | | | | | | | | | | (15205) op(e3, e1) = e3
% 174.99/26.98 | | | | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | | | | REDUCE: (734), (15204) imply:
% 174.99/26.98 | | | | | | | | | | | | | | | | | | (15206) op(e1, e3) = all_65_34
% 174.99/26.98 | | | | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | | | | BETA: splitting (263) gives:
% 174.99/26.98 | | | | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.98 | | | | | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | (15207) all_63_8 = e3
% 174.99/26.98 | | | | | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (499), (15207) imply:
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | (15208) all_61_2 = e3
% 174.99/26.98 | | | | | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | REDUCE: (14344), (15208) imply:
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | (15209) ~ (all_14_1 = e3)
% 174.99/26.98 | | | | | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | SIMP: (15209) implies:
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | (15210) ~ (all_14_1 = e3)
% 174.99/26.98 | | | | | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | REDUCE: (15043), (15208) imply:
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | (15211) op(e3, e3) = all_61_9
% 174.99/26.98 | | | | | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | REDUCE: (668), (15208) imply:
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | (15212) op(e3, e1) = all_65_34
% 174.99/26.98 | | | | | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | REDUCE: (706), (15208) imply:
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | (15213) op(e3, e3) = all_65_8
% 174.99/26.98 | | | | | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | REDUCE: (15169), (15208) imply:
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | (15214) op(e1, e3) = all_61_12
% 174.99/26.98 | | | | | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | BETA: splitting (267) gives:
% 174.99/26.98 | | | | | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | (15215) all_63_4 = e3
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (14341), (15215) imply:
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | (15216) all_14_1 = e3
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | REDUCE: (15210), (15216) imply:
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | (15217) $false
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | CLOSE: (15217) is inconsistent.
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | (15218) all_63_4 = e2 | all_63_4 = e1 | all_63_4 = e0
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | BETA: splitting (264) gives:
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | (15219) all_63_7 = e3
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15035), (15219) imply:
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | (15220) all_20_1 = e3
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | REDUCE: (15038), (15220) imply:
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | (15221) ~ (all_61_9 = e3)
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | REDUCE: (15164), (15220) imply:
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | (15222) ~ (all_61_12 = e3)
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | REDUCE: (15174), (15220) imply:
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | (15223) op(e3, e3) = all_65_57
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | REDUCE: (15053), (15220) imply:
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | (15224) op(e1, e3) = all_65_67
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15218) gives:
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | (15225) all_63_4 = e2
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (14341), (15225) imply:
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | (15226) all_14_1 = e2
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14358), (15226) imply:
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | (15227) $false
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (15227) is inconsistent.
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | (15228) all_63_4 = e1 | all_63_4 = e0
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15228) gives:
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | | (15229) all_63_4 = e1
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (14341), (15229) imply:
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | | (15230) all_14_1 = e1
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (14340), (15230) imply:
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | | (15231) all_26_1 = e1
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15037), (15230) imply:
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | | (15232) ~ (all_61_9 = e1)
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14356), (15230) imply:
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | | (15233) ~ (all_61_12 = e1)
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14323) gives:
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | | | (15234) ~ (all_26_1 = e1)
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15231), (15234) imply:
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | | | (15235) $false
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (15235) is inconsistent.
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | | | (15236) ~ (all_26_0 = e0) & op(e1, e3) = all_26_0 &
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_26_0)
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15236) implies:
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | | | (15237) op(e1, e3) = all_26_0
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (262) gives:
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | (15238) all_63_9 = e3
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15034), (15238) imply:
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | (15239) all_61_9 = e3
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15221), (15239) imply:
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | (15240) $false
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (15240) is inconsistent.
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | (15241) ~ (all_63_9 = e3)
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | (15242) all_63_9 = e2 | all_63_9 = e1 | all_63_9 = e0
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15242) gives:
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | (15243) all_63_9 = e2
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15034), (15243) imply:
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | (15244) all_61_9 = e2
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15067), (15244) imply:
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | (15245) op(e2, e0) = all_65_67
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (259) gives:
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | (15246) all_63_12 = e3
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15163), (15222), (15246) are inconsistent by
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #189.
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | (15247) all_63_12 = e2 | all_63_12 = e1 | all_63_12 = e0
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15247) gives:
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15248) all_63_12 = e2
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14309), (15163), (15248) are inconsistent by
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #234.
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15249) all_63_12 = e1 | all_63_12 = e0
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15249) gives:
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15250) all_63_12 = e1
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15163), (15233), (15250) are inconsistent by
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #358.
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15251) all_63_12 = e0
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15163), (15251) imply:
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15252) all_61_12 = e0
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15252) implies:
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15253) all_61_12 = e0
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15233), (15253) imply:
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15254) ~ (e1 = e0)
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15176), (15253) imply:
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15255) op(e2, e0) = all_65_57
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15170), (15253) imply:
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15256) op(e1, e0) = all_65_65
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15214), (15253) imply:
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15257) op(e1, e3) = e0
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e1, all_65_65, e0, e1,
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (15202), (15256) gives:
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15258) all_65_65 = e1
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e0, all_26_0, e3, e1,
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (15237), (15257) gives:
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15259) all_26_0 = e0
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_26_0, all_65_67, e3,
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, simplifying with (15224), (15237) gives:
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15260) all_65_67 = all_26_0
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_65, all_65_34, e3,
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, simplifying with (15201), (15206) gives:
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15261) all_65_34 = all_65_65
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_26_0, all_65_34, e3,
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, simplifying with (15206), (15237) gives:
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15262) all_65_34 = all_26_0
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_67, all_65_57, e0,
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, simplifying with (15245), (15255) gives:
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15263) all_65_57 = all_65_67
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e3, all_65_34, e1, e3,
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (15205), (15212) gives:
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15264) all_65_34 = e3
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e2, all_65_8, e3, e3,
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (14315), (15213) gives:
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15265) all_65_8 = e2
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_57, all_65_8, e3,
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, simplifying with (15213), (15223) gives:
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15266) all_65_8 = all_65_57
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15265), (15266) imply:
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15267) all_65_57 = e2
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15261), (15264) imply:
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15268) all_65_65 = e3
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15261), (15262) imply:
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15269) all_65_65 = all_26_0
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15263), (15267) imply:
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15270) all_65_67 = e2
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15258), (15268) imply:
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15271) e3 = e1
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15268), (15269) imply:
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15272) all_26_0 = e3
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15272) implies:
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15273) all_26_0 = e3
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15260), (15270) imply:
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15274) all_26_0 = e2
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15274) implies:
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15275) all_26_0 = e2
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15273), (15275) imply:
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15276) e3 = e2
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15259), (15273) imply:
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15277) e3 = e0
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (15271), (15276), (15277) are inconsistent
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #209.
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | (15278) ~ (all_63_9 = e2)
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15034), (15278) imply:
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | (15279) ~ (all_61_9 = e2)
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (265), (497), (11613), (15221), (15232), (15279)
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #395.
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | | (15280) all_63_4 = e0
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (14341), (15280) imply:
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | | (15281) all_14_1 = e0
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15152), (15281) imply:
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | | (15282) $false
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (15282) is inconsistent.
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | End of split
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | (15283) ~ (all_63_7 = e3)
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | REDUCE: (15035), (15283) imply:
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | (15284) ~ (all_20_1 = e3)
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (258), (15033), (15042), (15151), (15200), (15284)
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #379.
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | End of split
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | End of split
% 174.99/26.98 | | | | | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.98 | | | | | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | (15285) all_63_8 = e2 | all_63_8 = e1 | all_63_8 = e0
% 174.99/26.98 | | | | | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (499), (11610), (14305), (15198), (15285) are
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #386.
% 174.99/26.98 | | | | | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | | | | End of split
% 174.99/26.98 | | | | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.98 | | | | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | | | | (15286) all_63_2 = e2 | all_63_2 = e1 | all_63_2 = e0
% 174.99/26.98 | | | | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | | | | REF_CLOSE: (489), (11612), (14308), (15199), (15286) are
% 174.99/26.98 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #401.
% 174.99/26.98 | | | | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | | | End of split
% 174.99/26.98 | | | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.98 | | | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | | | (15287) ~ (unit = e1)
% 174.99/26.98 | | | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | | | REF_CLOSE: (15192), (15196), (15287) are inconsistent by
% 174.99/26.98 | | | | | | | | | | | | | | | | | sub-proof #419.
% 174.99/26.98 | | | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | | End of split
% 174.99/26.98 | | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | End of split
% 174.99/26.98 | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | End of split
% 174.99/26.98 | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | Case 2:
% 174.99/26.98 | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | (15288) all_58_2 = e3
% 174.99/26.98 | | | | | | | | | | | | | | (15289) all_58_0 = e1
% 174.99/26.98 | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | COMBINE_EQS: (484), (15289) imply:
% 174.99/26.98 | | | | | | | | | | | | | | (15290) all_52_0 = e1
% 174.99/26.98 | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | SIMP: (15290) implies:
% 174.99/26.98 | | | | | | | | | | | | | | (15291) all_52_0 = e1
% 174.99/26.98 | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | COMBINE_EQS: (478), (15288) imply:
% 174.99/26.98 | | | | | | | | | | | | | | (15292) all_52_2 = e3
% 174.99/26.98 | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | REDUCE: (714), (15291) imply:
% 174.99/26.98 | | | | | | | | | | | | | | (15293) op(e3, e1) = unit
% 174.99/26.98 | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | REDUCE: (748), (15292) imply:
% 174.99/26.98 | | | | | | | | | | | | | | (15294) op(e1, e3) = unit
% 174.99/26.98 | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_2, unit, e3, e1,
% 174.99/26.98 | | | | | | | | | | | | | | simplifying with (230), (15294) gives:
% 174.99/26.98 | | | | | | | | | | | | | | (15295) all_61_2 = unit
% 174.99/26.98 | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_8, unit, e1, e3,
% 174.99/26.98 | | | | | | | | | | | | | | simplifying with (236), (15293) gives:
% 174.99/26.98 | | | | | | | | | | | | | | (15296) all_61_8 = unit
% 174.99/26.98 | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | COMBINE_EQS: (499), (15295) imply:
% 174.99/26.98 | | | | | | | | | | | | | | (15297) all_63_8 = unit
% 174.99/26.98 | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | REDUCE: (11651), (15296) imply:
% 174.99/26.98 | | | | | | | | | | | | | | (15298) ~ (all_8_1 = unit)
% 174.99/26.98 | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | SIMP: (15298) implies:
% 174.99/26.98 | | | | | | | | | | | | | | (15299) ~ (all_8_1 = unit)
% 174.99/26.98 | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | REDUCE: (14308), (15296) imply:
% 174.99/26.98 | | | | | | | | | | | | | | (15300) ~ (unit = e2)
% 174.99/26.98 | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | REDUCE: (11612), (15296) imply:
% 174.99/26.98 | | | | | | | | | | | | | | (15301) ~ (unit = e0)
% 174.99/26.98 | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | REDUCE: (642), (15296) imply:
% 174.99/26.98 | | | | | | | | | | | | | | (15302) op(unit, e3) = all_65_8
% 174.99/26.98 | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | REDUCE: (706), (15295) imply:
% 174.99/26.98 | | | | | | | | | | | | | | (15303) op(e3, unit) = all_65_8
% 174.99/26.98 | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | BETA: splitting (263) gives:
% 174.99/26.98 | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | Case 1:
% 174.99/26.98 | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | (15304) all_63_8 = e3
% 174.99/26.98 | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | COMBINE_EQS: (15297), (15304) imply:
% 174.99/26.98 | | | | | | | | | | | | | | | (15305) unit = e3
% 174.99/26.98 | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | REDUCE: (11696), (15305) imply:
% 174.99/26.98 | | | | | | | | | | | | | | | (15306) $false
% 174.99/26.98 | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | CLOSE: (15306) is inconsistent.
% 174.99/26.98 | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | Case 2:
% 174.99/26.98 | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | (15307) all_63_8 = e2 | all_63_8 = e1 | all_63_8 = e0
% 174.99/26.98 | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | BETA: splitting (15307) gives:
% 174.99/26.98 | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | Case 1:
% 174.99/26.98 | | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | | (15308) all_63_8 = e2
% 174.99/26.98 | | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | | COMBINE_EQS: (15297), (15308) imply:
% 174.99/26.98 | | | | | | | | | | | | | | | | (15309) unit = e2
% 174.99/26.98 | | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | | REDUCE: (15300), (15309) imply:
% 174.99/26.98 | | | | | | | | | | | | | | | | (15310) $false
% 174.99/26.98 | | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | | CLOSE: (15310) is inconsistent.
% 174.99/26.98 | | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | Case 2:
% 174.99/26.98 | | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | | (15311) ~ (all_63_8 = e2)
% 174.99/26.98 | | | | | | | | | | | | | | | | (15312) all_63_8 = e1 | all_63_8 = e0
% 174.99/26.98 | | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | | BETA: splitting (11697) gives:
% 174.99/26.98 | | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.98 | | | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | | | (15313) unit = e2
% 174.99/26.98 | | | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | | | REDUCE: (15300), (15313) imply:
% 174.99/26.98 | | | | | | | | | | | | | | | | | (15314) $false
% 174.99/26.98 | | | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | | | CLOSE: (15314) is inconsistent.
% 174.99/26.98 | | | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.98 | | | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | | | (15315) unit = e1 | unit = e0
% 174.99/26.98 | | | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | | | BETA: splitting (15315) gives:
% 174.99/26.98 | | | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.98 | | | | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | | | | (15316) unit = e1
% 174.99/26.98 | | | | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | | | | REDUCE: (15299), (15316) imply:
% 174.99/26.98 | | | | | | | | | | | | | | | | | | (15317) ~ (all_8_1 = e1)
% 174.99/26.98 | | | | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | | | | REDUCE: (15302), (15316) imply:
% 174.99/26.98 | | | | | | | | | | | | | | | | | | (15318) op(e1, e3) = all_65_8
% 174.99/26.98 | | | | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | | | | REDUCE: (15303), (15316) imply:
% 174.99/26.98 | | | | | | | | | | | | | | | | | | (15319) op(e3, e1) = all_65_8
% 174.99/26.98 | | | | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | | | | REDUCE: (6), (15316) imply:
% 174.99/26.98 | | | | | | | | | | | | | | | | | | (15320) op(e3, e1) = e3
% 174.99/26.98 | | | | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | | | | REDUCE: (15293), (15316) imply:
% 174.99/26.98 | | | | | | | | | | | | | | | | | | (15321) op(e3, e1) = e1
% 174.99/26.98 | | | | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | | | | BETA: splitting (260) gives:
% 174.99/26.98 | | | | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.98 | | | | | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | (15322) all_63_11 = e3
% 174.99/26.98 | | | | | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11646), (15322) imply:
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | (15323) all_8_1 = e3
% 174.99/26.98 | | | | | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | REDUCE: (15040), (15323) imply:
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | (15324) ~ (all_20_1 = e3)
% 174.99/26.98 | | | | | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | REDUCE: (11660), (15323) imply:
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | (15325) op(e3, e3) = all_65_65
% 174.99/26.98 | | | | | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | REDUCE: (15175), (15323) imply:
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | (15326) op(e3, e3) = all_65_53
% 174.99/26.98 | | | | | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | REDUCE: (15070), (15323) imply:
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | (15327) op(e2, e3) = all_65_67
% 174.99/26.98 | | | | | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | REDUCE: (11606), (15323) imply:
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | (15328) op(e1, e0) = e3
% 174.99/26.98 | | | | | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | BETA: splitting (15000) gives:
% 174.99/26.98 | | | | | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | (15329) ~ (all_20_1 = e1)
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (258), (15033), (15042), (15151), (15324), (15329)
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #379.
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | (15330) all_20_1 = e1
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | (15331) ~ (all_20_0 = e3) & op(e1, e0) = all_20_0 &
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | $i(all_20_0)
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | ALPHA: (15331) implies:
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | (15332) op(e1, e0) = all_20_0
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | REDUCE: (15164), (15330) imply:
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | (15333) ~ (all_61_12 = e1)
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | REDUCE: (15039), (15330) imply:
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | (15334) ~ (all_14_1 = e1)
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | SIMP: (15334) implies:
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | (15335) ~ (all_14_1 = e1)
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | REDUCE: (15174), (15330) imply:
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | (15336) op(e3, e1) = all_65_57
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | BETA: splitting (267) gives:
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | (15337) all_63_4 = e3
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (14341), (15337) imply:
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | (15338) all_14_1 = e3
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | REDUCE: (15037), (15338) imply:
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | (15339) ~ (all_61_9 = e3)
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.98 | | | | | | | | | | | | | | | | | | | | | REDUCE: (14356), (15338) imply:
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | (15340) ~ (all_61_12 = e3)
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | REDUCE: (15168), (15338) imply:
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | (15341) op(e3, e2) = all_61_12
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | REDUCE: (14361), (15338) imply:
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | (15342) op(e3, e1) = all_65_18
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | REDUCE: (14374), (15338) imply:
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | (15343) op(e1, e3) = all_65_36
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (262) gives:
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | (15344) all_63_9 = e3
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15034), (15344) imply:
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | (15345) all_61_9 = e3
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15339), (15345) imply:
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | (15346) $false
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (15346) is inconsistent.
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | (15347) all_63_9 = e2 | all_63_9 = e1 | all_63_9 = e0
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15347) gives:
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | | (15348) all_63_9 = e2
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15034), (15348) imply:
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | | (15349) all_61_9 = e2
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15044), (15349) imply:
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | | (15350) op(e2, e3) = all_65_36
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15067), (15349) imply:
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | | (15351) op(e2, e0) = all_65_67
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14388), (15349) imply:
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | | (15352) op(e3, e2) = all_65_18
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11607) gives:
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | | | (15353) ~ (all_8_1 = e3)
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (257), (11645), (11657), (15004), (15317), (15353)
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #150.
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | | | (15354) ~ (all_8_0 = e2) & op(e3, e1) = all_8_0 &
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_0)
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15354) implies:
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | | | (15355) op(e3, e1) = all_8_0
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (268) gives:
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | (15356) all_63_3 = e3
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (491), (15340), (15356) are inconsistent by
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #361.
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | (15357) all_63_3 = e2 | all_63_3 = e1 | all_63_3 = e0
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15357) gives:
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | (15358) all_63_3 = e2
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (491), (14309), (15358) are inconsistent by
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #492.
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | (15359) all_63_3 = e1 | all_63_3 = e0
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15359) gives:
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | (15360) all_63_3 = e1
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (491), (15333), (15360) are inconsistent by
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #491.
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | (15361) all_63_3 = e0
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (491), (15361) imply:
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | (15362) all_61_12 = e0
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15362) implies:
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | (15363) all_61_12 = e0
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15333), (15363) imply:
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | (15364) ~ (e1 = e0)
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15341), (15363) imply:
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | (15365) op(e3, e2) = e0
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15176), (15363) imply:
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | (15366) op(e2, e0) = all_65_57
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15170), (15363) imply:
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | (15367) op(e1, e0) = all_65_65
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e3, all_20_0, e0, e1,
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (15328), (15332) gives:
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | (15368) all_20_0 = e3
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_20_0, all_65_65, e0,
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, simplifying with (15332), (15367) gives:
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | (15369) all_65_65 = all_20_0
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_36, all_65_8, e3,
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, simplifying with (15318), (15343) gives:
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | (15370) all_65_8 = all_65_36
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_67, all_65_57, e0,
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, simplifying with (15351), (15366) gives:
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | (15371) all_65_57 = all_65_67
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_67, all_65_36, e3,
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, simplifying with (15327), (15350) gives:
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | (15372) all_65_36 = all_65_67
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e1, all_8_0, e1, e3,
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (15321), (15355) gives:
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | (15373) all_8_0 = e1
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_8_0, all_65_57, e1,
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, simplifying with (15336), (15355) gives:
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | (15374) all_65_57 = all_8_0
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e3, all_65_57, e1, e3,
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (15320), (15336) gives:
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | (15375) all_65_57 = e3
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_18, all_65_8, e1,
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, simplifying with (15319), (15342) gives:
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | (15376) all_65_8 = all_65_18
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e0, all_65_18, e2, e3,
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (15352), (15365) gives:
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | (15377) all_65_18 = e0
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e2, all_65_53, e3, e3,
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (14315), (15326) gives:
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | (15378) all_65_53 = e2
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_65, all_65_53, e3,
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, simplifying with (15325), (15326) gives:
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | (15379) all_65_53 = all_65_65
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15370), (15376) imply:
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | (15380) all_65_18 = all_65_36
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15377), (15380) imply:
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | (15381) all_65_36 = e0
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15381) implies:
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | (15382) all_65_36 = e0
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15372), (15382) imply:
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | (15383) all_65_67 = e0
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15383) implies:
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | (15384) all_65_67 = e0
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15378), (15379) imply:
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | (15385) all_65_65 = e2
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15385) implies:
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | (15386) all_65_65 = e2
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15374), (15375) imply:
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | (15387) all_8_0 = e3
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15387) implies:
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | (15388) all_8_0 = e3
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15371), (15375) imply:
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | (15389) all_65_67 = e3
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15389) implies:
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | (15390) all_65_67 = e3
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15369), (15386) imply:
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | (15391) all_20_0 = e2
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15391) implies:
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | (15392) all_20_0 = e2
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15384), (15390) imply:
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | (15393) e3 = e0
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15393) implies:
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | (15394) e3 = e0
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15368), (15392) imply:
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | (15395) e3 = e2
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15395) implies:
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | (15396) e3 = e2
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15373), (15388) imply:
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | (15397) e3 = e1
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15397) implies:
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | (15398) e3 = e1
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15394), (15396) imply:
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | (15399) e2 = e0
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15396), (15398) imply:
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | (15400) e2 = e1
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (15399), (15400) are inconsistent by
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #403.
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | | (15401) all_63_9 = e1 | all_63_9 = e0
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (258), (11613), (15033), (15034), (15038),
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | | (15042), (15151), (15324), (15401) are
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #143.
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | End of split
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | (15402) all_63_4 = e2 | all_63_4 = e1 | all_63_4 = e0
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14341), (14358), (15152), (15335), (15402) are
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #354.
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | |
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | | End of split
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | |
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | End of split
% 174.99/26.99 | | | | | | | | | | | | | | | | | | |
% 174.99/26.99 | | | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.99 | | | | | | | | | | | | | | | | | | |
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | (15403) ~ (all_63_11 = e3)
% 174.99/26.99 | | | | | | | | | | | | | | | | | | |
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | REDUCE: (11646), (15403) imply:
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | (15404) ~ (all_8_1 = e3)
% 174.99/26.99 | | | | | | | | | | | | | | | | | | |
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (257), (11645), (11657), (15004), (15317), (15404)
% 174.99/26.99 | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #150.
% 174.99/26.99 | | | | | | | | | | | | | | | | | | |
% 174.99/26.99 | | | | | | | | | | | | | | | | | | End of split
% 174.99/26.99 | | | | | | | | | | | | | | | | | |
% 174.99/26.99 | | | | | | | | | | | | | | | | | Case 2:
% 174.99/26.99 | | | | | | | | | | | | | | | | | |
% 174.99/26.99 | | | | | | | | | | | | | | | | | | (15405) ~ (unit = e1)
% 174.99/26.99 | | | | | | | | | | | | | | | | | |
% 174.99/26.99 | | | | | | | | | | | | | | | | | | REF_CLOSE: (15297), (15301), (15312), (15405) are
% 174.99/26.99 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #220.
% 174.99/26.99 | | | | | | | | | | | | | | | | | |
% 174.99/26.99 | | | | | | | | | | | | | | | | | End of split
% 174.99/26.99 | | | | | | | | | | | | | | | | |
% 174.99/26.99 | | | | | | | | | | | | | | | | End of split
% 174.99/26.99 | | | | | | | | | | | | | | | |
% 174.99/26.99 | | | | | | | | | | | | | | | End of split
% 174.99/26.99 | | | | | | | | | | | | | | |
% 174.99/26.99 | | | | | | | | | | | | | | End of split
% 174.99/26.99 | | | | | | | | | | | | | |
% 174.99/26.99 | | | | | | | | | | | | | End of split
% 174.99/26.99 | | | | | | | | | | | | |
% 174.99/26.99 | | | | | | | | | | | | Case 2:
% 174.99/26.99 | | | | | | | | | | | | |
% 174.99/26.99 | | | | | | | | | | | | | (15406) all_58_1 = e1
% 174.99/26.99 | | | | | | | | | | | | |
% 174.99/26.99 | | | | | | | | | | | | | REF_CLOSE: (9), (50), (232), (481), (731), (15004), (15167),
% 174.99/26.99 | | | | | | | | | | | | | (15406) are inconsistent by sub-proof #139.
% 174.99/26.99 | | | | | | | | | | | | |
% 174.99/26.99 | | | | | | | | | | | | End of split
% 174.99/26.99 | | | | | | | | | | | |
% 174.99/26.99 | | | | | | | | | | | End of split
% 174.99/26.99 | | | | | | | | | | |
% 174.99/26.99 | | | | | | | | | | End of split
% 174.99/26.99 | | | | | | | | | |
% 174.99/26.99 | | | | | | | | | End of split
% 174.99/26.99 | | | | | | | | |
% 174.99/26.99 | | | | | | | | End of split
% 174.99/26.99 | | | | | | | |
% 174.99/26.99 | | | | | | | End of split
% 174.99/26.99 | | | | | | |
% 174.99/26.99 | | | | | | Case 2:
% 174.99/26.99 | | | | | | |
% 174.99/26.99 | | | | | | | (15407) all_12_2 = e1
% 174.99/26.99 | | | | | | | (15408) op(e2, e1) = all_12_1 & $i(all_12_1) & ( ~ (all_12_1 =
% 174.99/26.99 | | | | | | | e3) | ( ~ (all_12_0 = e0) & op(e3, e2) = all_12_0 &
% 174.99/26.99 | | | | | | | $i(all_12_0)))
% 174.99/26.99 | | | | | | |
% 174.99/26.99 | | | | | | | ALPHA: (15408) implies:
% 174.99/26.99 | | | | | | | (15409) op(e2, e1) = all_12_1
% 174.99/26.99 | | | | | | | (15410) ~ (all_12_1 = e3) | ( ~ (all_12_0 = e0) & op(e3, e2) =
% 174.99/26.99 | | | | | | | all_12_0 & $i(all_12_0))
% 174.99/26.99 | | | | | | |
% 174.99/26.99 | | | | | | | COMBINE_EQS: (575), (15407) imply:
% 174.99/26.99 | | | | | | | (15411) all_6_2 = e1
% 174.99/26.99 | | | | | | |
% 174.99/26.99 | | | | | | | COMBINE_EQS: (570), (15411) imply:
% 174.99/26.99 | | | | | | | (15412) all_16_2 = e1
% 174.99/26.99 | | | | | | |
% 174.99/26.99 | | | | | | | REDUCE: (604), (15411) imply:
% 174.99/26.99 | | | | | | | (15413) ~ (all_61_1 = e1)
% 174.99/26.99 | | | | | | |
% 174.99/26.99 | | | | | | | REDUCE: (607), (15411) imply:
% 174.99/26.99 | | | | | | | (15414) ~ (all_61_4 = e1)
% 174.99/26.99 | | | | | | |
% 174.99/26.99 | | | | | | | REDUCE: (609), (15411) imply:
% 174.99/26.99 | | | | | | | (15415) ~ (all_61_6 = e1)
% 174.99/26.99 | | | | | | |
% 174.99/26.99 | | | | | | | REDUCE: (611), (15411) imply:
% 174.99/26.99 | | | | | | | (15416) ~ (all_61_7 = e1)
% 174.99/26.99 | | | | | | |
% 174.99/26.99 | | | | | | | REDUCE: (613), (15411) imply:
% 174.99/26.99 | | | | | | | (15417) ~ (all_61_9 = e1)
% 174.99/26.99 | | | | | | |
% 174.99/26.99 | | | | | | | REDUCE: (767), (15411) imply:
% 174.99/26.99 | | | | | | | (15418) ~ (e3 = e1)
% 174.99/26.99 | | | | | | |
% 174.99/26.99 | | | | | | | REDUCE: (654), (15411) imply:
% 174.99/26.99 | | | | | | | (15419) op(e1, e3) = all_65_20
% 174.99/26.99 | | | | | | |
% 174.99/26.99 | | | | | | | REDUCE: (655), (15411) imply:
% 174.99/26.99 | | | | | | | (15420) op(e1, e2) = all_65_21
% 174.99/26.99 | | | | | | |
% 174.99/26.99 | | | | | | | REDUCE: (656), (15411) imply:
% 174.99/26.99 | | | | | | | (15421) op(e1, e1) = all_65_22
% 174.99/26.99 | | | | | | |
% 174.99/26.99 | | | | | | | REDUCE: (657), (15411) imply:
% 174.99/26.99 | | | | | | | (15422) op(e1, e0) = all_65_23
% 174.99/26.99 | | | | | | |
% 174.99/26.99 | | | | | | | REDUCE: (703), (15411) imply:
% 174.99/26.99 | | | | | | | (15423) op(e3, e1) = all_65_5
% 174.99/26.99 | | | | | | |
% 174.99/26.99 | | | | | | | REDUCE: (720), (15411) imply:
% 174.99/26.99 | | | | | | | (15424) op(e2, e1) = all_65_21
% 174.99/26.99 | | | | | | |
% 174.99/26.99 | | | | | | | REDUCE: (55), (15411) imply:
% 174.99/26.99 | | | | | | | (15425) op(e2, e2) = e1
% 174.99/26.99 | | | | | | |
% 174.99/26.99 | | | | | | | REDUCE: (737), (15411) imply:
% 174.99/26.99 | | | | | | | (15426) op(e1, e1) = all_65_37
% 174.99/26.99 | | | | | | |
% 174.99/26.99 | | | | | | | REDUCE: (754), (15411) imply:
% 174.99/26.99 | | | | | | | (15427) op(e0, e1) = all_65_59
% 174.99/26.99 | | | | | | |
% 174.99/26.99 | | | | | | | BETA: splitting (71) gives:
% 174.99/26.99 | | | | | | |
% 174.99/26.99 | | | | | | | Case 1:
% 174.99/26.99 | | | | | | | |
% 174.99/26.99 | | | | | | | | (15428) ~ (all_16_2 = e1)
% 174.99/26.99 | | | | | | | |
% 174.99/26.99 | | | | | | | | REDUCE: (15412), (15428) imply:
% 174.99/26.99 | | | | | | | | (15429) $false
% 174.99/26.99 | | | | | | | |
% 174.99/26.99 | | | | | | | | CLOSE: (15429) is inconsistent.
% 174.99/26.99 | | | | | | | |
% 174.99/26.99 | | | | | | | Case 2:
% 174.99/26.99 | | | | | | | |
% 174.99/26.99 | | | | | | | | (15430) op(e2, e1) = all_16_1 & $i(all_16_1) & ( ~ (all_16_1
% 174.99/26.99 | | | | | | | | = e0) | ( ~ (all_16_0 = e3) & op(e0, e2) =
% 174.99/26.99 | | | | | | | | all_16_0 & $i(all_16_0)))
% 175.47/26.99 | | | | | | | |
% 175.47/26.99 | | | | | | | | ALPHA: (15430) implies:
% 175.47/26.99 | | | | | | | | (15431) op(e2, e1) = all_16_1
% 175.47/26.99 | | | | | | | |
% 175.47/26.99 | | | | | | | | GROUND_INST: instantiating (50) with all_8_1, all_65_59, e1, e0,
% 175.47/26.99 | | | | | | | | simplifying with (11676), (15427) gives:
% 175.47/26.99 | | | | | | | | (15432) all_65_59 = all_8_1
% 175.47/26.99 | | | | | | | |
% 175.47/26.99 | | | | | | | | GROUND_INST: instantiating (50) with all_8_1, all_65_23, e0, e1,
% 175.47/26.99 | | | | | | | | simplifying with (11606), (15422) gives:
% 175.47/26.99 | | | | | | | | (15433) all_65_23 = all_8_1
% 175.47/26.99 | | | | | | | |
% 175.47/26.99 | | | | | | | | GROUND_INST: instantiating (50) with e0, all_65_22, e1, e1,
% 175.47/26.99 | | | | | | | | simplifying with (11622), (15421) gives:
% 175.47/26.99 | | | | | | | | (15434) all_65_22 = e0
% 175.47/26.99 | | | | | | | |
% 175.47/26.99 | | | | | | | | GROUND_INST: instantiating (50) with all_65_37, all_65_22, e1,
% 175.47/26.99 | | | | | | | | e1, simplifying with (15421), (15426) gives:
% 175.47/26.99 | | | | | | | | (15435) all_65_22 = all_65_37
% 175.47/26.99 | | | | | | | |
% 175.47/26.99 | | | | | | | | GROUND_INST: instantiating (50) with all_61_6, all_65_21, e2,
% 175.47/26.99 | | | | | | | | e1, simplifying with (229), (15420) gives:
% 175.47/26.99 | | | | | | | | (15436) all_65_21 = all_61_6
% 175.47/26.99 | | | | | | | |
% 175.47/26.99 | | | | | | | | GROUND_INST: instantiating (50) with all_61_2, all_65_20, e3,
% 175.47/26.99 | | | | | | | | e1, simplifying with (230), (15419) gives:
% 175.47/26.99 | | | | | | | | (15437) all_65_20 = all_61_2
% 175.47/26.99 | | | | | | | |
% 175.47/26.99 | | | | | | | | GROUND_INST: instantiating (50) with all_61_9, all_16_1, e1, e2,
% 175.47/26.99 | | | | | | | | simplifying with (232), (15431) gives:
% 175.47/26.99 | | | | | | | | (15438) all_61_9 = all_16_1
% 175.47/26.99 | | | | | | | |
% 175.47/26.99 | | | | | | | | GROUND_INST: instantiating (50) with all_61_9, all_65_21, e1,
% 175.47/26.99 | | | | | | | | e2, simplifying with (232), (15424) gives:
% 175.47/26.99 | | | | | | | | (15439) all_65_21 = all_61_9
% 175.47/26.99 | | | | | | | |
% 175.47/26.99 | | | | | | | | GROUND_INST: instantiating (50) with all_12_1, all_65_21, e1,
% 175.47/26.99 | | | | | | | | e2, simplifying with (15409), (15424) gives:
% 175.47/26.99 | | | | | | | | (15440) all_65_21 = all_12_1
% 175.47/26.99 | | | | | | | |
% 175.47/26.99 | | | | | | | | GROUND_INST: instantiating (50) with all_61_8, all_65_5, e1, e3,
% 175.47/26.99 | | | | | | | | simplifying with (236), (15423) gives:
% 175.47/26.99 | | | | | | | | (15441) all_65_5 = all_61_8
% 175.47/26.99 | | | | | | | |
% 175.47/26.99 | | | | | | | | COMBINE_EQS: (15436), (15440) imply:
% 175.47/26.99 | | | | | | | | (15442) all_61_6 = all_12_1
% 175.47/26.99 | | | | | | | |
% 175.47/26.99 | | | | | | | | SIMP: (15442) implies:
% 175.47/26.99 | | | | | | | | (15443) all_61_6 = all_12_1
% 175.47/26.99 | | | | | | | |
% 175.47/26.99 | | | | | | | | COMBINE_EQS: (15439), (15440) imply:
% 175.47/26.99 | | | | | | | | (15444) all_61_9 = all_12_1
% 175.47/26.99 | | | | | | | |
% 175.47/26.99 | | | | | | | | SIMP: (15444) implies:
% 175.47/26.99 | | | | | | | | (15445) all_61_9 = all_12_1
% 175.47/26.99 | | | | | | | |
% 175.47/26.99 | | | | | | | | COMBINE_EQS: (15434), (15435) imply:
% 175.47/26.99 | | | | | | | | (15446) all_65_37 = e0
% 175.47/26.99 | | | | | | | |
% 175.47/26.99 | | | | | | | | COMBINE_EQS: (15438), (15445) imply:
% 175.47/26.99 | | | | | | | | (15447) all_16_1 = all_12_1
% 175.47/26.99 | | | | | | | |
% 175.47/26.99 | | | | | | | | SIMP: (15447) implies:
% 175.47/26.99 | | | | | | | | (15448) all_16_1 = all_12_1
% 175.47/26.99 | | | | | | | |
% 175.47/26.99 | | | | | | | | COMBINE_EQS: (501), (15443) imply:
% 175.47/26.99 | | | | | | | | (15449) all_63_9 = all_12_1
% 175.47/26.99 | | | | | | | |
% 175.47/26.99 | | | | | | | | COMBINE_EQS: (497), (15445) imply:
% 175.47/26.99 | | | | | | | | (15450) all_63_6 = all_12_1
% 175.47/26.99 | | | | | | | |
% 175.47/26.99 | | | | | | | | REDUCE: (213), (15445) imply:
% 175.47/26.99 | | | | | | | | (15451) ~ (all_61_1 = all_12_1)
% 175.47/26.99 | | | | | | | |
% 175.47/26.99 | | | | | | | | REDUCE: (210), (15443) imply:
% 175.47/26.99 | | | | | | | | (15452) ~ (all_61_2 = all_12_1)
% 175.47/26.99 | | | | | | | |
% 175.47/26.99 | | | | | | | | REDUCE: (203), (15443) imply:
% 175.47/26.99 | | | | | | | | (15453) ~ (all_61_4 = all_12_1)
% 175.47/26.99 | | | | | | | |
% 175.47/26.99 | | | | | | | | REDUCE: (195), (15443) imply:
% 175.47/26.99 | | | | | | | | (15454) ~ (all_61_7 = all_12_1)
% 175.47/26.99 | | | | | | | |
% 175.47/26.99 | | | | | | | | SIMP: (15454) implies:
% 175.47/26.99 | | | | | | | | (15455) ~ (all_61_7 = all_12_1)
% 175.47/26.99 | | | | | | | |
% 175.47/26.99 | | | | | | | | REDUCE: (190), (15445) imply:
% 175.47/26.99 | | | | | | | | (15456) ~ (all_61_8 = all_12_1)
% 175.47/26.99 | | | | | | | |
% 175.47/26.99 | | | | | | | | REDUCE: (11652), (15445) imply:
% 175.47/26.99 | | | | | | | | (15457) ~ (all_12_1 = all_8_1)
% 175.47/26.99 | | | | | | | |
% 175.47/26.99 | | | | | | | | REDUCE: (15417), (15445) imply:
% 175.47/26.99 | | | | | | | | (15458) ~ (all_12_1 = e1)
% 175.47/26.99 | | | | | | | |
% 175.47/26.99 | | | | | | | | REDUCE: (11613), (15445) imply:
% 175.47/26.99 | | | | | | | | (15459) ~ (all_12_1 = e0)
% 175.47/26.99 | | | | | | | |
% 175.47/26.99 | | | | | | | | REDUCE: (639), (15441) imply:
% 175.47/26.99 | | | | | | | | (15460) op(all_61_4, e2) = all_61_8
% 175.47/26.99 | | | | | | | |
% 175.47/26.99 | | | | | | | | REDUCE: (670), (15443) imply:
% 175.47/27.00 | | | | | | | | (15461) op(all_12_1, e3) = all_65_36
% 175.47/27.00 | | | | | | | |
% 175.47/27.00 | | | | | | | | REDUCE: (672), (15443) imply:
% 175.47/27.00 | | | | | | | | (15462) op(all_12_1, e1) = all_65_38
% 175.47/27.00 | | | | | | | |
% 175.47/27.00 | | | | | | | | REDUCE: (673), (15443) imply:
% 175.47/27.00 | | | | | | | | (15463) op(all_12_1, e0) = all_65_39
% 175.47/27.00 | | | | | | | |
% 175.47/27.00 | | | | | | | | REDUCE: (687), (15432) imply:
% 175.47/27.00 | | | | | | | | (15464) op(all_61_7, e2) = all_8_1
% 175.47/27.00 | | | | | | | |
% 175.47/27.00 | | | | | | | | REDUCE: (658), (15445) imply:
% 175.47/27.00 | | | | | | | | (15465) op(all_12_1, e3) = all_65_24
% 175.47/27.00 | | | | | | | |
% 175.47/27.00 | | | | | | | | REDUCE: (11659), (15445) imply:
% 175.47/27.00 | | | | | | | | (15466) op(all_12_1, e1) = all_61_13
% 175.47/27.00 | | | | | | | |
% 175.47/27.00 | | | | | | | | REDUCE: (11686), (15445) imply:
% 175.47/27.00 | | | | | | | | (15467) op(all_12_1, e0) = all_65_30
% 175.47/27.00 | | | | | | | |
% 175.47/27.00 | | | | | | | | REDUCE: (707), (15443) imply:
% 175.47/27.00 | | | | | | | | (15468) op(e3, all_12_1) = all_65_9
% 175.47/27.00 | | | | | | | |
% 175.47/27.00 | | | | | | | | REDUCE: (704), (15445) imply:
% 175.47/27.00 | | | | | | | | (15469) op(e3, all_12_1) = all_65_6
% 175.47/27.00 | | | | | | | |
% 175.47/27.00 | | | | | | | | REDUCE: (719), (15437) imply:
% 175.47/27.00 | | | | | | | | (15470) op(e2, all_61_1) = all_61_2
% 175.47/27.00 | | | | | | | |
% 175.47/27.00 | | | | | | | | REDUCE: (11673), (15443) imply:
% 175.47/27.00 | | | | | | | | (15471) op(e1, all_12_1) = all_61_7
% 175.47/27.00 | | | | | | | |
% 175.47/27.00 | | | | | | | | REDUCE: (738), (15445) imply:
% 175.47/27.00 | | | | | | | | (15472) op(e1, all_12_1) = all_65_38
% 175.47/27.00 | | | | | | | |
% 175.47/27.00 | | | | | | | | REDUCE: (229), (15443) imply:
% 175.47/27.00 | | | | | | | | (15473) op(e1, e2) = all_12_1
% 175.47/27.00 | | | | | | | |
% 175.47/27.00 | | | | | | | | REDUCE: (758), (15443) imply:
% 175.47/27.00 | | | | | | | | (15474) op(e0, all_12_1) = all_65_67
% 175.47/27.00 | | | | | | | |
% 175.47/27.00 | | | | | | | | REDUCE: (755), (15445) imply:
% 175.47/27.00 | | | | | | | | (15475) op(e0, all_12_1) = all_65_61
% 175.47/27.00 | | | | | | | |
% 175.47/27.00 | | | | | | | | GROUND_INST: instantiating (50) with all_65_67, all_65_61,
% 175.47/27.00 | | | | | | | | all_12_1, e0, simplifying with (15474), (15475)
% 175.47/27.00 | | | | | | | | gives:
% 175.47/27.00 | | | | | | | | (15476) all_65_61 = all_65_67
% 175.47/27.00 | | | | | | | |
% 175.47/27.00 | | | | | | | | GROUND_INST: instantiating (50) with all_61_7, all_65_38,
% 175.47/27.00 | | | | | | | | all_12_1, e1, simplifying with (15471), (15472)
% 175.47/27.00 | | | | | | | | gives:
% 175.47/27.00 | | | | | | | | (15477) all_65_38 = all_61_7
% 175.47/27.00 | | | | | | | |
% 175.47/27.00 | | | | | | | | GROUND_INST: instantiating (50) with all_65_9, all_65_6,
% 175.47/27.00 | | | | | | | | all_12_1, e3, simplifying with (15468), (15469)
% 175.47/27.00 | | | | | | | | gives:
% 175.47/27.00 | | | | | | | | (15478) all_65_6 = all_65_9
% 175.47/27.00 | | | | | | | |
% 175.47/27.00 | | | | | | | | GROUND_INST: instantiating (50) with all_65_39, all_65_30, e0,
% 175.47/27.00 | | | | | | | | all_12_1, simplifying with (15463), (15467) gives:
% 175.47/27.00 | | | | | | | | (15479) all_65_30 = all_65_39
% 175.47/27.00 | | | | | | | |
% 175.47/27.00 | | | | | | | | GROUND_INST: instantiating (50) with all_61_13, all_65_38, e1,
% 175.47/27.00 | | | | | | | | all_12_1, simplifying with (15462), (15466) gives:
% 175.47/27.00 | | | | | | | | (15480) all_65_38 = all_61_13
% 175.47/27.00 | | | | | | | |
% 175.47/27.00 | | | | | | | | GROUND_INST: instantiating (50) with all_65_36, all_65_24, e3,
% 175.47/27.00 | | | | | | | | all_12_1, simplifying with (15461), (15465) gives:
% 175.47/27.00 | | | | | | | | (15481) all_65_24 = all_65_36
% 175.47/27.00 | | | | | | | |
% 175.47/27.00 | | | | | | | | COMBINE_EQS: (15477), (15480) imply:
% 175.47/27.00 | | | | | | | | (15482) all_61_7 = all_61_13
% 175.47/27.00 | | | | | | | |
% 175.47/27.00 | | | | | | | | SIMP: (15482) implies:
% 175.47/27.00 | | | | | | | | (15483) all_61_7 = all_61_13
% 175.47/27.00 | | | | | | | |
% 175.47/27.00 | | | | | | | | COMBINE_EQS: (508), (15483) imply:
% 175.47/27.00 | | | | | | | | (15484) all_63_13 = all_61_13
% 175.47/27.00 | | | | | | | |
% 175.47/27.00 | | | | | | | | REDUCE: (207), (15483) imply:
% 175.47/27.00 | | | | | | | | (15485) ~ (all_61_3 = all_61_13)
% 175.47/27.00 | | | | | | | |
% 175.47/27.00 | | | | | | | | REDUCE: (202), (15483) imply:
% 175.47/27.00 | | | | | | | | (15486) ~ (all_61_4 = all_61_13)
% 175.47/27.00 | | | | | | | |
% 175.47/27.00 | | | | | | | | REDUCE: (15455), (15483) imply:
% 175.47/27.00 | | | | | | | | (15487) ~ (all_61_13 = all_12_1)
% 175.47/27.00 | | | | | | | |
% 175.47/27.00 | | | | | | | | REDUCE: (15416), (15483) imply:
% 175.47/27.00 | | | | | | | | (15488) ~ (all_61_13 = e1)
% 175.47/27.00 | | | | | | | |
% 175.47/27.00 | | | | | | | | REDUCE: (640), (15478) imply:
% 175.47/27.00 | | | | | | | | (15489) op(all_61_4, e1) = all_65_9
% 175.47/27.00 | | | | | | | |
% 175.47/27.00 | | | | | | | | REDUCE: (686), (15483) imply:
% 175.47/27.00 | | | | | | | | (15490) op(all_61_13, e3) = all_65_57
% 175.47/27.00 | | | | | | | |
% 175.47/27.00 | | | | | | | | REDUCE: (15464), (15483) imply:
% 175.47/27.00 | | | | | | | | (15491) op(all_61_13, e2) = all_8_1
% 175.47/27.00 | | | | | | | |
% 175.47/27.00 | | | | | | | | REDUCE: (688), (15476), (15483) imply:
% 175.47/27.00 | | | | | | | | (15492) op(all_61_13, e1) = all_65_67
% 175.47/27.00 | | | | | | | |
% 175.47/27.00 | | | | | | | | REDUCE: (689), (15483) imply:
% 175.47/27.00 | | | | | | | | (15493) op(all_61_13, e0) = all_65_63
% 175.47/27.00 | | | | | | | |
% 175.47/27.00 | | | | | | | | REDUCE: (664), (15479) imply:
% 175.47/27.00 | | | | | | | | (15494) op(all_61_13, e1) = all_65_39
% 175.47/27.00 | | | | | | | |
% 175.47/27.00 | | | | | | | | REDUCE: (711), (15483) imply:
% 175.47/27.00 | | | | | | | | (15495) op(e3, all_61_13) = all_65_13
% 175.47/27.00 | | | | | | | |
% 175.47/27.00 | | | | | | | | REDUCE: (723), (15481) imply:
% 175.47/27.00 | | | | | | | | (15496) op(e2, all_61_2) = all_65_36
% 175.47/27.00 | | | | | | | |
% 175.47/27.00 | | | | | | | | REDUCE: (728), (15483) imply:
% 175.47/27.00 | | | | | | | | (15497) op(e2, all_61_13) = all_65_29
% 175.47/27.00 | | | | | | | |
% 175.47/27.00 | | | | | | | | REDUCE: (15471), (15483) imply:
% 175.47/27.00 | | | | | | | | (15498) op(e1, all_12_1) = all_61_13
% 175.47/27.00 | | | | | | | |
% 175.47/27.00 | | | | | | | | REDUCE: (762), (15483) imply:
% 175.47/27.00 | | | | | | | | (15499) op(e0, all_61_13) = all_65_75
% 175.47/27.00 | | | | | | | |
% 175.47/27.00 | | | | | | | | REDUCE: (225), (15483) imply:
% 175.47/27.00 | | | | | | | | (15500) op(e0, e2) = all_61_13
% 175.47/27.00 | | | | | | | |
% 175.47/27.00 | | | | | | | | GROUND_INST: instantiating (50) with all_65_63, all_65_75,
% 175.47/27.00 | | | | | | | | all_61_13, e0, simplifying with (756), (15499)
% 175.47/27.00 | | | | | | | | gives:
% 175.47/27.00 | | | | | | | | (15501) all_65_63 = all_65_75
% 175.47/27.00 | | | | | | | |
% 175.47/27.00 | | | | | | | | GROUND_INST: instantiating (50) with all_65_7, all_65_13,
% 175.47/27.00 | | | | | | | | all_61_13, e3, simplifying with (705), (15495)
% 175.47/27.00 | | | | | | | | gives:
% 175.47/27.00 | | | | | | | | (15502) all_65_7 = all_65_13
% 175.47/27.00 | | | | | | | |
% 175.47/27.00 | | | | | | | | GROUND_INST: instantiating (50) with all_65_31, all_65_63, e0,
% 175.47/27.00 | | | | | | | | all_61_13, simplifying with (665), (15493) gives:
% 175.47/27.00 | | | | | | | | (15503) all_65_31 = all_65_63
% 175.47/27.00 | | | | | | | |
% 175.47/27.00 | | | | | | | | GROUND_INST: instantiating (50) with all_65_67, all_65_39, e1,
% 175.47/27.00 | | | | | | | | all_61_13, simplifying with (15492), (15494) gives:
% 175.47/27.00 | | | | | | | | (15504) all_65_39 = all_65_67
% 175.47/27.00 | | | | | | | |
% 175.47/27.00 | | | | | | | | GROUND_INST: instantiating (50) with all_65_29, all_8_1, e2,
% 175.47/27.00 | | | | | | | | all_61_13, simplifying with (663), (15491) gives:
% 175.47/27.00 | | | | | | | | (15505) all_65_29 = all_8_1
% 175.47/27.00 | | | | | | | |
% 175.47/27.00 | | | | | | | | GROUND_INST: instantiating (50) with all_65_28, all_65_57, e3,
% 175.47/27.00 | | | | | | | | all_61_13, simplifying with (662), (15490) gives:
% 175.47/27.00 | | | | | | | | (15506) all_65_28 = all_65_57
% 175.47/27.00 | | | | | | | |
% 175.47/27.00 | | | | | | | | COMBINE_EQS: (15501), (15503) imply:
% 175.47/27.00 | | | | | | | | (15507) all_65_31 = all_65_75
% 175.47/27.00 | | | | | | | |
% 175.47/27.00 | | | | | | | | REDUCE: (15493), (15501) imply:
% 175.47/27.00 | | | | | | | | (15508) op(all_61_13, e0) = all_65_75
% 175.47/27.00 | | | | | | | |
% 175.47/27.00 | | | | | | | | REDUCE: (15463), (15504) imply:
% 175.47/27.00 | | | | | | | | (15509) op(all_12_1, e0) = all_65_67
% 175.47/27.00 | | | | | | | |
% 175.47/27.00 | | | | | | | | REDUCE: (727), (15506) imply:
% 175.47/27.00 | | | | | | | | (15510) op(e2, all_61_3) = all_65_57
% 175.47/27.00 | | | | | | | |
% 175.47/27.00 | | | | | | | | REDUCE: (15497), (15505) imply:
% 175.47/27.00 | | | | | | | | (15511) op(e2, all_61_13) = all_8_1
% 175.47/27.00 | | | | | | | |
% 175.47/27.00 | | | | | | | | REDUCE: (730), (15507) imply:
% 175.47/27.00 | | | | | | | | (15512) op(e2, all_20_2) = all_65_75
% 175.47/27.00 | | | | | | | |
% 175.47/27.00 | | | | | | | | REDUCE: (739), (15504) imply:
% 175.47/27.00 | | | | | | | | (15513) op(e1, all_61_13) = all_65_67
% 175.47/27.00 | | | | | | | |
% 175.47/27.00 | | | | | | | | BETA: splitting (68) gives:
% 175.47/27.00 | | | | | | | |
% 175.47/27.00 | | | | | | | | Case 1:
% 175.47/27.00 | | | | | | | | |
% 175.47/27.00 | | | | | | | | | (15514) ~ (all_14_2 = e2)
% 175.47/27.00 | | | | | | | | |
% 175.47/27.00 | | | | | | | | | BETA: splitting (77) gives:
% 175.47/27.00 | | | | | | | | |
% 175.47/27.00 | | | | | | | | | Case 1:
% 175.47/27.00 | | | | | | | | | |
% 175.47/27.00 | | | | | | | | | | (15515) ~ (all_20_2 = e2)
% 175.47/27.00 | | | | | | | | | |
% 175.47/27.00 | | | | | | | | | | BETA: splitting (89) gives:
% 175.47/27.00 | | | | | | | | | |
% 175.47/27.00 | | | | | | | | | | Case 1:
% 175.47/27.00 | | | | | | | | | | |
% 175.47/27.00 | | | | | | | | | | | (15516) ~ (all_28_2 = e3)
% 175.47/27.00 | | | | | | | | | | |
% 175.47/27.00 | | | | | | | | | | | REDUCE: (563), (15516) imply:
% 175.47/27.00 | | | | | | | | | | | (15517) ~ (all_20_2 = e3)
% 175.47/27.00 | | | | | | | | | | |
% 175.47/27.00 | | | | | | | | | | | BETA: splitting (101) gives:
% 175.47/27.00 | | | | | | | | | | |
% 175.47/27.00 | | | | | | | | | | | Case 1:
% 175.47/27.00 | | | | | | | | | | | |
% 175.47/27.00 | | | | | | | | | | | | (15518) ~ (all_36_2 = e0)
% 175.47/27.00 | | | | | | | | | | | |
% 175.47/27.00 | | | | | | | | | | | | REDUCE: (557), (15518) imply:
% 175.47/27.00 | | | | | | | | | | | | (15519) ~ (all_14_2 = e0)
% 175.47/27.00 | | | | | | | | | | | |
% 175.47/27.00 | | | | | | | | | | | | BETA: splitting (107) gives:
% 175.47/27.00 | | | | | | | | | | | |
% 175.47/27.00 | | | | | | | | | | | | Case 1:
% 175.47/27.00 | | | | | | | | | | | | |
% 175.47/27.00 | | | | | | | | | | | | | (15520) ~ (all_40_2 = e1)
% 175.47/27.00 | | | | | | | | | | | | |
% 175.47/27.00 | | | | | | | | | | | | | REDUCE: (553), (15520) imply:
% 175.47/27.00 | | | | | | | | | | | | | (15521) ~ (all_14_2 = e1)
% 175.47/27.00 | | | | | | | | | | | | |
% 175.47/27.00 | | | | | | | | | | | | | BETA: splitting (271) gives:
% 175.47/27.00 | | | | | | | | | | | | |
% 175.47/27.00 | | | | | | | | | | | | | Case 1:
% 175.47/27.00 | | | | | | | | | | | | | |
% 175.47/27.00 | | | | | | | | | | | | | | (15522) all_63_0 = e3
% 175.47/27.00 | | | | | | | | | | | | | |
% 175.47/27.00 | | | | | | | | | | | | | | COMBINE_EQS: (588), (15522) imply:
% 175.47/27.00 | | | | | | | | | | | | | | (15523) all_14_2 = e3
% 175.47/27.00 | | | | | | | | | | | | | |
% 175.47/27.00 | | | | | | | | | | | | | | REDUCE: (599), (15523) imply:
% 175.47/27.00 | | | | | | | | | | | | | | (15524) ~ (all_61_4 = e3)
% 175.47/27.00 | | | | | | | | | | | | | |
% 175.47/27.00 | | | | | | | | | | | | | | REDUCE: (601), (15523) imply:
% 175.47/27.00 | | | | | | | | | | | | | | (15525) ~ (all_61_8 = e3)
% 175.47/27.00 | | | | | | | | | | | | | |
% 175.47/27.00 | | | | | | | | | | | | | | REDUCE: (635), (15523) imply:
% 175.47/27.00 | | | | | | | | | | | | | | (15526) op(e3, e2) = all_65_1
% 175.47/27.00 | | | | | | | | | | | | | |
% 175.47/27.00 | | | | | | | | | | | | | | REDUCE: (636), (15523) imply:
% 175.47/27.00 | | | | | | | | | | | | | | (15527) op(e3, e1) = all_65_2
% 175.47/27.00 | | | | | | | | | | | | | |
% 175.47/27.00 | | | | | | | | | | | | | | REDUCE: (637), (15523) imply:
% 175.47/27.00 | | | | | | | | | | | | | | (15528) op(e3, e0) = all_65_3
% 175.47/27.00 | | | | | | | | | | | | | |
% 175.47/27.00 | | | | | | | | | | | | | | REDUCE: (698), (15523) imply:
% 175.47/27.00 | | | | | | | | | | | | | | (15529) op(e3, e3) = all_65_0
% 175.47/27.00 | | | | | | | | | | | | | |
% 175.47/27.00 | | | | | | | | | | | | | | REDUCE: (67), (15523) imply:
% 175.47/27.00 | | | | | | | | | | | | | | (15530) op(e3, e3) = e3
% 175.47/27.00 | | | | | | | | | | | | | |
% 175.47/27.00 | | | | | | | | | | | | | | REDUCE: (715), (15523) imply:
% 175.47/27.00 | | | | | | | | | | | | | | (15531) op(e2, e3) = all_65_16
% 175.47/27.00 | | | | | | | | | | | | | |
% 175.47/27.00 | | | | | | | | | | | | | | REDUCE: (732), (15523) imply:
% 175.47/27.00 | | | | | | | | | | | | | | (15532) op(e1, e3) = all_65_32
% 175.47/27.00 | | | | | | | | | | | | | |
% 175.47/27.00 | | | | | | | | | | | | | | REDUCE: (749), (15523) imply:
% 175.47/27.00 | | | | | | | | | | | | | | (15533) op(e0, e3) = all_65_49
% 175.47/27.00 | | | | | | | | | | | | | |
% 175.47/27.00 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_3, all_65_49, e3,
% 175.47/27.00 | | | | | | | | | | | | | | e0, simplifying with (226), (15533) gives:
% 175.47/27.00 | | | | | | | | | | | | | | (15534) all_65_49 = all_61_3
% 175.47/27.00 | | | | | | | | | | | | | |
% 175.47/27.00 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_2, all_65_32, e3,
% 175.47/27.00 | | | | | | | | | | | | | | e1, simplifying with (230), (15532) gives:
% 175.47/27.00 | | | | | | | | | | | | | | (15535) all_65_32 = all_61_2
% 175.47/27.00 | | | | | | | | | | | | | |
% 175.47/27.00 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_1, all_65_16, e3,
% 175.47/27.00 | | | | | | | | | | | | | | e2, simplifying with (234), (15531) gives:
% 175.47/27.00 | | | | | | | | | | | | | | (15536) all_65_16 = all_61_1
% 175.47/27.00 | | | | | | | | | | | | | |
% 175.47/27.00 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_12, all_65_3, e0,
% 175.47/27.00 | | | | | | | | | | | | | | e3, simplifying with (235), (15528) gives:
% 175.47/27.00 | | | | | | | | | | | | | | (15537) all_65_3 = all_61_12
% 175.47/27.00 | | | | | | | | | | | | | |
% 175.47/27.00 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_8, all_65_2, e1,
% 175.47/27.00 | | | | | | | | | | | | | | e3, simplifying with (236), (15527) gives:
% 175.47/27.00 | | | | | | | | | | | | | | (15538) all_65_2 = all_61_8
% 175.47/27.00 | | | | | | | | | | | | | |
% 175.47/27.00 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_4, all_65_1, e2,
% 175.47/27.00 | | | | | | | | | | | | | | e3, simplifying with (237), (15526) gives:
% 175.47/27.00 | | | | | | | | | | | | | | (15539) all_65_1 = all_61_4
% 175.47/27.00 | | | | | | | | | | | | | |
% 175.47/27.00 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e3, all_65_0, e3, e3,
% 175.47/27.00 | | | | | | | | | | | | | | simplifying with (15529), (15530) gives:
% 175.47/27.00 | | | | | | | | | | | | | | (15540) all_65_0 = e3
% 175.47/27.00 | | | | | | | | | | | | | |
% 175.47/27.00 | | | | | | | | | | | | | | REDUCE: (650), (15536) imply:
% 175.47/27.00 | | | | | | | | | | | | | | (15541) op(all_61_1, e3) = all_61_1
% 175.47/27.00 | | | | | | | | | | | | | |
% 175.47/27.00 | | | | | | | | | | | | | | REDUCE: (666), (15535) imply:
% 175.47/27.00 | | | | | | | | | | | | | | (15542) op(all_61_2, e3) = all_61_2
% 175.47/27.00 | | | | | | | | | | | | | |
% 175.47/27.00 | | | | | | | | | | | | | | REDUCE: (682), (15534) imply:
% 175.47/27.00 | | | | | | | | | | | | | | (15543) op(all_61_3, e3) = all_61_3
% 175.47/27.00 | | | | | | | | | | | | | |
% 175.47/27.00 | | | | | | | | | | | | | | BETA: splitting (110) gives:
% 175.47/27.00 | | | | | | | | | | | | | |
% 175.47/27.00 | | | | | | | | | | | | | | Case 1:
% 175.47/27.00 | | | | | | | | | | | | | | |
% 175.47/27.00 | | | | | | | | | | | | | | | (15544) ~ (all_42_2 = e1)
% 175.47/27.00 | | | | | | | | | | | | | | |
% 175.47/27.00 | | | | | | | | | | | | | | | REDUCE: (532), (15544) imply:
% 175.47/27.00 | | | | | | | | | | | | | | | (15545) ~ (all_20_2 = e1)
% 175.47/27.00 | | | | | | | | | | | | | | |
% 175.47/27.00 | | | | | | | | | | | | | | | BETA: splitting (256) gives:
% 175.47/27.00 | | | | | | | | | | | | | | |
% 175.47/27.00 | | | | | | | | | | | | | | | Case 1:
% 175.47/27.00 | | | | | | | | | | | | | | | |
% 175.47/27.00 | | | | | | | | | | | | | | | | (15546) all_63_15 = e3
% 175.47/27.00 | | | | | | | | | | | | | | | |
% 175.47/27.00 | | | | | | | | | | | | | | | | REF_CLOSE: (422), (15517), (15546) are inconsistent by
% 175.47/27.00 | | | | | | | | | | | | | | | | sub-proof #501.
% 175.47/27.00 | | | | | | | | | | | | | | | |
% 175.47/27.00 | | | | | | | | | | | | | | | Case 2:
% 175.47/27.00 | | | | | | | | | | | | | | | |
% 175.47/27.00 | | | | | | | | | | | | | | | | (15547) all_63_15 = e2 | all_63_15 = e1 | all_63_15 = e0
% 175.47/27.00 | | | | | | | | | | | | | | | |
% 175.47/27.00 | | | | | | | | | | | | | | | | BETA: splitting (15547) gives:
% 175.47/27.00 | | | | | | | | | | | | | | | |
% 175.47/27.00 | | | | | | | | | | | | | | | | Case 1:
% 175.47/27.00 | | | | | | | | | | | | | | | | |
% 175.47/27.00 | | | | | | | | | | | | | | | | | (15548) all_63_15 = e2
% 175.47/27.00 | | | | | | | | | | | | | | | | |
% 175.47/27.00 | | | | | | | | | | | | | | | | | REF_CLOSE: (422), (15515), (15548) are inconsistent by
% 175.47/27.00 | | | | | | | | | | | | | | | | | sub-proof #500.
% 175.47/27.00 | | | | | | | | | | | | | | | | |
% 175.47/27.00 | | | | | | | | | | | | | | | | Case 2:
% 175.47/27.00 | | | | | | | | | | | | | | | | |
% 175.47/27.00 | | | | | | | | | | | | | | | | | (15549) all_63_15 = e1 | all_63_15 = e0
% 175.47/27.00 | | | | | | | | | | | | | | | | |
% 175.47/27.00 | | | | | | | | | | | | | | | | | BETA: splitting (15549) gives:
% 175.47/27.00 | | | | | | | | | | | | | | | | |
% 175.47/27.00 | | | | | | | | | | | | | | | | | Case 1:
% 175.47/27.00 | | | | | | | | | | | | | | | | | |
% 175.47/27.00 | | | | | | | | | | | | | | | | | | (15550) all_63_15 = e1
% 175.47/27.00 | | | | | | | | | | | | | | | | | |
% 175.47/27.00 | | | | | | | | | | | | | | | | | | REF_CLOSE: (422), (15545), (15550) are inconsistent by
% 175.47/27.00 | | | | | | | | | | | | | | | | | | sub-proof #499.
% 175.47/27.00 | | | | | | | | | | | | | | | | | |
% 175.47/27.00 | | | | | | | | | | | | | | | | | Case 2:
% 175.47/27.00 | | | | | | | | | | | | | | | | | |
% 175.47/27.00 | | | | | | | | | | | | | | | | | | (15551) all_63_15 = e0
% 175.47/27.00 | | | | | | | | | | | | | | | | | |
% 175.47/27.00 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (422), (15551) imply:
% 175.47/27.00 | | | | | | | | | | | | | | | | | | (15552) all_20_2 = e0
% 175.47/27.00 | | | | | | | | | | | | | | | | | |
% 175.47/27.00 | | | | | | | | | | | | | | | | | | SIMP: (15552) implies:
% 175.47/27.00 | | | | | | | | | | | | | | | | | | (15553) all_20_2 = e0
% 175.47/27.00 | | | | | | | | | | | | | | | | | |
% 175.47/27.00 | | | | | | | | | | | | | | | | | | REDUCE: (694), (15553) imply:
% 175.47/27.00 | | | | | | | | | | | | | | | | | | (15554) op(e0, e3) = all_65_73
% 175.47/27.00 | | | | | | | | | | | | | | | | | |
% 175.47/27.00 | | | | | | | | | | | | | | | | | | REDUCE: (713), (15553) imply:
% 175.47/27.00 | | | | | | | | | | | | | | | | | | (15555) op(e3, e0) = all_65_15
% 175.47/27.00 | | | | | | | | | | | | | | | | | |
% 175.47/27.00 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_3, all_65_73, e3,
% 175.47/27.00 | | | | | | | | | | | | | | | | | | e0, simplifying with (226), (15554) gives:
% 175.47/27.00 | | | | | | | | | | | | | | | | | | (15556) all_65_73 = all_61_3
% 175.47/27.00 | | | | | | | | | | | | | | | | | |
% 175.47/27.00 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_12, all_65_15, e0,
% 175.47/27.00 | | | | | | | | | | | | | | | | | | e3, simplifying with (235), (15555) gives:
% 175.47/27.00 | | | | | | | | | | | | | | | | | | (15557) all_65_15 = all_61_12
% 175.47/27.00 | | | | | | | | | | | | | | | | | |
% 175.47/27.00 | | | | | | | | | | | | | | | | | | REDUCE: (649), (15557) imply:
% 175.47/27.00 | | | | | | | | | | | | | | | | | | (15558) op(all_61_12, e0) = all_61_12
% 175.47/27.00 | | | | | | | | | | | | | | | | | |
% 175.47/27.00 | | | | | | | | | | | | | | | | | | BETA: splitting (162) gives:
% 175.47/27.00 | | | | | | | | | | | | | | | | | |
% 175.47/27.00 | | | | | | | | | | | | | | | | | | Case 1:
% 175.47/27.00 | | | | | | | | | | | | | | | | | | |
% 175.47/27.00 | | | | | | | | | | | | | | | | | | | (15559) ~ (all_58_2 = e3)
% 175.47/27.00 | | | | | | | | | | | | | | | | | | |
% 175.47/27.00 | | | | | | | | | | | | | | | | | | | REDUCE: (478), (15559) imply:
% 175.47/27.00 | | | | | | | | | | | | | | | | | | | (15560) ~ (all_52_2 = e3)
% 175.47/27.00 | | | | | | | | | | | | | | | | | | |
% 175.47/27.00 | | | | | | | | | | | | | | | | | | | BETA: splitting (167) gives:
% 175.47/27.00 | | | | | | | | | | | | | | | | | | |
% 175.47/27.00 | | | | | | | | | | | | | | | | | | | Case 1:
% 175.47/27.00 | | | | | | | | | | | | | | | | | | | |
% 175.47/27.00 | | | | | | | | | | | | | | | | | | | | (15561) ~ (all_58_0 = e1)
% 175.47/27.00 | | | | | | | | | | | | | | | | | | | |
% 175.47/27.00 | | | | | | | | | | | | | | | | | | | | REDUCE: (484), (15561) imply:
% 175.47/27.00 | | | | | | | | | | | | | | | | | | | | (15562) ~ (all_52_0 = e1)
% 175.47/27.00 | | | | | | | | | | | | | | | | | | | |
% 175.47/27.00 | | | | | | | | | | | | | | | | | | | | BETA: splitting (159) gives:
% 175.47/27.00 | | | | | | | | | | | | | | | | | | | |
% 175.47/27.00 | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.47/27.00 | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.00 | | | | | | | | | | | | | | | | | | | | | (15563) ~ (all_58_3 = e3)
% 175.47/27.00 | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.00 | | | | | | | | | | | | | | | | | | | | | REDUCE: (475), (15563) imply:
% 175.47/27.00 | | | | | | | | | | | | | | | | | | | | | (15564) ~ (all_52_3 = e3)
% 175.47/27.00 | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.00 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (50), (151), (165), (166), (168), (234),
% 175.47/27.00 | | | | | | | | | | | | | | | | | | | | | (237), (475), (481), (484), (534), (638), (714),
% 175.47/27.00 | | | | | | | | | | | | | | | | | | | | | (731), (11696), (15524), (15530), (15541),
% 175.47/27.00 | | | | | | | | | | | | | | | | | | | | | (15562), (15564) are inconsistent by sub-proof
% 175.47/27.00 | | | | | | | | | | | | | | | | | | | | | #508.
% 175.47/27.00 | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.00 | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.47/27.00 | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.00 | | | | | | | | | | | | | | | | | | | | | (15565) all_58_3 = e3
% 175.47/27.00 | | | | | | | | | | | | | | | | | | | | | (15566) all_58_0 = e0
% 175.47/27.00 | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.00 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (484), (15566) imply:
% 175.47/27.00 | | | | | | | | | | | | | | | | | | | | | (15567) all_52_0 = e0
% 175.47/27.00 | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.00 | | | | | | | | | | | | | | | | | | | | | SIMP: (15567) implies:
% 175.47/27.00 | | | | | | | | | | | | | | | | | | | | | (15568) all_52_0 = e0
% 175.47/27.00 | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.00 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (475), (15565) imply:
% 175.47/27.00 | | | | | | | | | | | | | | | | | | | | | (15569) all_52_3 = e3
% 175.47/27.00 | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.00 | | | | | | | | | | | | | | | | | | | | | REDUCE: (630), (15568), (15569) imply:
% 175.47/27.00 | | | | | | | | | | | | | | | | | | | | | (15570) ~ (e3 = e0)
% 175.47/27.00 | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.00 | | | | | | | | | | | | | | | | | | | | | REDUCE: (714), (15568) imply:
% 175.47/27.00 | | | | | | | | | | | | | | | | | | | | | (15571) op(e3, e0) = unit
% 175.47/27.00 | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.00 | | | | | | | | | | | | | | | | | | | | | REDUCE: (765), (15569) imply:
% 175.47/27.00 | | | | | | | | | | | | | | | | | | | | | (15572) op(e0, e3) = unit
% 175.47/27.00 | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.00 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_3, unit, e3, e0,
% 175.47/27.00 | | | | | | | | | | | | | | | | | | | | | simplifying with (226), (15572) gives:
% 175.47/27.00 | | | | | | | | | | | | | | | | | | | | | (15573) all_61_3 = unit
% 175.47/27.00 | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.00 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_12, unit, e0, e3,
% 175.47/27.00 | | | | | | | | | | | | | | | | | | | | | simplifying with (235), (15571) gives:
% 175.47/27.00 | | | | | | | | | | | | | | | | | | | | | (15574) all_61_12 = unit
% 175.47/27.00 | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.00 | | | | | | | | | | | | | | | | | | | | | REDUCE: (15543), (15573) imply:
% 175.47/27.00 | | | | | | | | | | | | | | | | | | | | | (15575) op(unit, e3) = unit
% 175.47/27.00 | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.00 | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (15573) imply:
% 175.47/27.00 | | | | | | | | | | | | | | | | | | | | | (15576) op(unit, e0) = all_65_55
% 175.47/27.00 | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.00 | | | | | | | | | | | | | | | | | | | | | REDUCE: (646), (15574) imply:
% 175.47/27.00 | | | | | | | | | | | | | | | | | | | | | (15577) op(unit, e3) = all_65_12
% 175.47/27.00 | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.00 | | | | | | | | | | | | | | | | | | | | | REDUCE: (15558), (15574) imply:
% 175.47/27.00 | | | | | | | | | | | | | | | | | | | | | (15578) op(unit, e0) = unit
% 175.47/27.00 | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.00 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e0, all_65_55, e0, unit,
% 175.47/27.00 | | | | | | | | | | | | | | | | | | | | | simplifying with (7), (15576) gives:
% 175.47/27.00 | | | | | | | | | | | | | | | | | | | | | (15579) all_65_55 = e0
% 175.47/27.00 | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.00 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with unit, all_65_55, e0, unit,
% 175.47/27.00 | | | | | | | | | | | | | | | | | | | | | simplifying with (15576), (15578) gives:
% 175.47/27.00 | | | | | | | | | | | | | | | | | | | | | (15580) all_65_55 = unit
% 175.47/27.00 | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.00 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e3, all_65_12, e3, unit,
% 175.47/27.00 | | | | | | | | | | | | | | | | | | | | | simplifying with (10), (15577) gives:
% 175.47/27.00 | | | | | | | | | | | | | | | | | | | | | (15581) all_65_12 = e3
% 175.47/27.00 | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.00 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with unit, all_65_12, e3, unit,
% 175.47/27.00 | | | | | | | | | | | | | | | | | | | | | simplifying with (15575), (15577) gives:
% 175.47/27.00 | | | | | | | | | | | | | | | | | | | | | (15582) all_65_12 = unit
% 175.47/27.00 | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.00 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15581), (15582) imply:
% 175.47/27.00 | | | | | | | | | | | | | | | | | | | | | (15583) unit = e3
% 175.47/27.00 | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.00 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15579), (15580) imply:
% 175.47/27.00 | | | | | | | | | | | | | | | | | | | | | (15584) unit = e0
% 175.47/27.00 | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.00 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15583), (15584) imply:
% 175.47/27.00 | | | | | | | | | | | | | | | | | | | | | (15585) e3 = e0
% 175.47/27.00 | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.00 | | | | | | | | | | | | | | | | | | | | | SIMP: (15585) implies:
% 175.47/27.00 | | | | | | | | | | | | | | | | | | | | | (15586) e3 = e0
% 175.47/27.00 | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.00 | | | | | | | | | | | | | | | | | | | | | REDUCE: (21), (15586) imply:
% 175.47/27.00 | | | | | | | | | | | | | | | | | | | | | (15587) $false
% 175.47/27.00 | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.00 | | | | | | | | | | | | | | | | | | | | | CLOSE: (15587) is inconsistent.
% 175.47/27.00 | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.00 | | | | | | | | | | | | | | | | | | | | End of split
% 175.47/27.00 | | | | | | | | | | | | | | | | | | | |
% 175.47/27.00 | | | | | | | | | | | | | | | | | | | Case 2:
% 175.47/27.00 | | | | | | | | | | | | | | | | | | | |
% 175.47/27.00 | | | | | | | | | | | | | | | | | | | | (15588) all_58_2 = e3
% 175.47/27.00 | | | | | | | | | | | | | | | | | | | |
% 175.47/27.00 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (478), (15560), (15588) are inconsistent by
% 175.47/27.00 | | | | | | | | | | | | | | | | | | | | sub-proof #507.
% 175.47/27.00 | | | | | | | | | | | | | | | | | | | |
% 175.47/27.00 | | | | | | | | | | | | | | | | | | | End of split
% 175.47/27.00 | | | | | | | | | | | | | | | | | | |
% 175.47/27.00 | | | | | | | | | | | | | | | | | | Case 2:
% 175.47/27.00 | | | | | | | | | | | | | | | | | | |
% 175.47/27.00 | | | | | | | | | | | | | | | | | | | (15589) all_58_2 = e3
% 175.47/27.00 | | | | | | | | | | | | | | | | | | | (15590) all_58_0 = e1
% 175.47/27.00 | | | | | | | | | | | | | | | | | | |
% 175.47/27.00 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (50), (230), (236), (478), (484), (642),
% 175.47/27.00 | | | | | | | | | | | | | | | | | | | (714), (748), (15525), (15542), (15589), (15590)
% 175.47/27.00 | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #504.
% 175.47/27.00 | | | | | | | | | | | | | | | | | | |
% 175.47/27.00 | | | | | | | | | | | | | | | | | | End of split
% 175.47/27.00 | | | | | | | | | | | | | | | | | |
% 175.47/27.00 | | | | | | | | | | | | | | | | | End of split
% 175.47/27.00 | | | | | | | | | | | | | | | | |
% 175.47/27.00 | | | | | | | | | | | | | | | | End of split
% 175.47/27.00 | | | | | | | | | | | | | | | |
% 175.47/27.00 | | | | | | | | | | | | | | | End of split
% 175.47/27.00 | | | | | | | | | | | | | | |
% 175.47/27.00 | | | | | | | | | | | | | | Case 2:
% 175.47/27.00 | | | | | | | | | | | | | | |
% 175.47/27.00 | | | | | | | | | | | | | | | (15591) all_42_2 = e1
% 175.47/27.00 | | | | | | | | | | | | | | |
% 175.47/27.00 | | | | | | | | | | | | | | | COMBINE_EQS: (532), (15591) imply:
% 175.47/27.00 | | | | | | | | | | | | | | | (15592) all_20_2 = e1
% 175.47/27.00 | | | | | | | | | | | | | | |
% 175.47/27.00 | | | | | | | | | | | | | | | SIMP: (15592) implies:
% 175.47/27.00 | | | | | | | | | | | | | | | (15593) all_20_2 = e1
% 175.47/27.00 | | | | | | | | | | | | | | |
% 175.47/27.00 | | | | | | | | | | | | | | | REDUCE: (11656), (15593) imply:
% 175.47/27.00 | | | | | | | | | | | | | | | (15594) ~ (all_8_1 = e1)
% 175.47/27.00 | | | | | | | | | | | | | | |
% 175.47/27.00 | | | | | | | | | | | | | | | SIMP: (15594) implies:
% 175.47/27.00 | | | | | | | | | | | | | | | (15595) ~ (all_8_1 = e1)
% 175.47/27.00 | | | | | | | | | | | | | | |
% 175.47/27.00 | | | | | | | | | | | | | | | REDUCE: (697), (15593) imply:
% 175.47/27.00 | | | | | | | | | | | | | | | (15596) op(e1, e0) = all_65_78
% 175.47/27.00 | | | | | | | | | | | | | | |
% 175.47/27.00 | | | | | | | | | | | | | | | REDUCE: (15512), (15593) imply:
% 175.47/27.00 | | | | | | | | | | | | | | | (15597) op(e2, e1) = all_65_75
% 175.47/27.00 | | | | | | | | | | | | | | |
% 175.47/27.00 | | | | | | | | | | | | | | | REDUCE: (11689), (15593) imply:
% 175.47/27.00 | | | | | | | | | | | | | | | (15598) op(e1, e1) = all_65_77
% 175.47/27.00 | | | | | | | | | | | | | | |
% 175.47/27.00 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_8_1, all_65_78, e0,
% 175.47/27.00 | | | | | | | | | | | | | | | e1, simplifying with (11606), (15596) gives:
% 175.47/27.00 | | | | | | | | | | | | | | | (15599) all_65_78 = all_8_1
% 175.47/27.00 | | | | | | | | | | | | | | |
% 175.47/27.00 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e0, all_65_77, e1, e1,
% 175.47/27.00 | | | | | | | | | | | | | | | simplifying with (11622), (15598) gives:
% 175.47/27.00 | | | | | | | | | | | | | | | (15600) all_65_77 = e0
% 175.47/27.00 | | | | | | | | | | | | | | |
% 175.47/27.00 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_12_1, all_65_75, e1,
% 175.47/27.00 | | | | | | | | | | | | | | | e2, simplifying with (15409), (15597) gives:
% 175.47/27.00 | | | | | | | | | | | | | | | (15601) all_65_75 = all_12_1
% 175.47/27.00 | | | | | | | | | | | | | | |
% 175.47/27.00 | | | | | | | | | | | | | | | BETA: splitting (161) gives:
% 175.47/27.00 | | | | | | | | | | | | | | |
% 175.47/27.00 | | | | | | | | | | | | | | | Case 1:
% 175.47/27.00 | | | | | | | | | | | | | | | |
% 175.47/27.00 | | | | | | | | | | | | | | | | (15602) ~ (all_58_2 = e2)
% 175.47/27.00 | | | | | | | | | | | | | | | |
% 175.47/27.00 | | | | | | | | | | | | | | | | REDUCE: (478), (15602) imply:
% 175.47/27.00 | | | | | | | | | | | | | | | | (15603) ~ (all_52_2 = e2)
% 175.47/27.00 | | | | | | | | | | | | | | | |
% 175.47/27.00 | | | | | | | | | | | | | | | | BETA: splitting (164) gives:
% 175.47/27.00 | | | | | | | | | | | | | | | |
% 175.47/27.00 | | | | | | | | | | | | | | | | Case 1:
% 175.47/27.00 | | | | | | | | | | | | | | | | |
% 175.47/27.00 | | | | | | | | | | | | | | | | | (15604) ~ (all_58_1 = e1)
% 175.47/27.00 | | | | | | | | | | | | | | | | |
% 175.47/27.00 | | | | | | | | | | | | | | | | | REDUCE: (481), (15604) imply:
% 175.47/27.00 | | | | | | | | | | | | | | | | | (15605) ~ (all_52_1 = e1)
% 175.47/27.00 | | | | | | | | | | | | | | | | |
% 175.47/27.00 | | | | | | | | | | | | | | | | | BETA: splitting (165) gives:
% 175.47/27.00 | | | | | | | | | | | | | | | | |
% 175.47/27.00 | | | | | | | | | | | | | | | | | Case 1:
% 175.47/27.00 | | | | | | | | | | | | | | | | | |
% 175.47/27.00 | | | | | | | | | | | | | | | | | | (15606) ~ (all_58_1 = e3)
% 175.47/27.00 | | | | | | | | | | | | | | | | | |
% 175.47/27.00 | | | | | | | | | | | | | | | | | | REDUCE: (481), (15606) imply:
% 175.47/27.00 | | | | | | | | | | | | | | | | | | (15607) ~ (all_52_1 = e3)
% 175.47/27.00 | | | | | | | | | | | | | | | | | |
% 175.47/27.00 | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (9), (18), (50), (150), (163), (231),
% 175.47/27.00 | | | | | | | | | | | | | | | | | | (481), (536), (731), (11606), (11622), (11654),
% 175.47/27.00 | | | | | | | | | | | | | | | | | | (11697), (15425), (15488), (15491), (15492),
% 175.47/27.00 | | | | | | | | | | | | | | | | | | (15511), (15513), (15605), (15607) are
% 175.47/27.00 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #127.
% 175.47/27.00 | | | | | | | | | | | | | | | | | |
% 175.47/27.00 | | | | | | | | | | | | | | | | | Case 2:
% 175.47/27.00 | | | | | | | | | | | | | | | | | |
% 175.47/27.00 | | | | | | | | | | | | | | | | | | (15608) all_58_1 = e3
% 175.47/27.00 | | | | | | | | | | | | | | | | | | (15609) all_58_0 = e2
% 175.47/27.00 | | | | | | | | | | | | | | | | | |
% 175.47/27.00 | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (50), (234), (237), (481), (484), (638),
% 175.47/27.00 | | | | | | | | | | | | | | | | | | (714), (731), (15524), (15541), (15608), (15609)
% 175.47/27.00 | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #510.
% 175.47/27.00 | | | | | | | | | | | | | | | | | |
% 175.47/27.00 | | | | | | | | | | | | | | | | | End of split
% 175.47/27.00 | | | | | | | | | | | | | | | | |
% 175.47/27.00 | | | | | | | | | | | | | | | | Case 2:
% 175.47/27.00 | | | | | | | | | | | | | | | | |
% 175.47/27.00 | | | | | | | | | | | | | | | | | (15610) all_58_2 = e2
% 175.47/27.00 | | | | | | | | | | | | | | | | |
% 175.47/27.00 | | | | | | | | | | | | | | | | | REF_CLOSE: (478), (15603), (15610) are inconsistent by
% 175.47/27.00 | | | | | | | | | | | | | | | | | sub-proof #433.
% 175.47/27.00 | | | | | | | | | | | | | | | | |
% 175.47/27.00 | | | | | | | | | | | | | | | | End of split
% 175.47/27.00 | | | | | | | | | | | | | | | |
% 175.47/27.00 | | | | | | | | | | | | | | | Case 2:
% 175.47/27.00 | | | | | | | | | | | | | | | |
% 175.47/27.00 | | | | | | | | | | | | | | | | (15611) all_58_1 = e1
% 175.47/27.00 | | | | | | | | | | | | | | | |
% 175.47/27.00 | | | | | | | | | | | | | | | | COMBINE_EQS: (481), (15611) imply:
% 175.47/27.00 | | | | | | | | | | | | | | | | (15612) all_52_1 = e1
% 175.47/27.00 | | | | | | | | | | | | | | | |
% 175.47/27.00 | | | | | | | | | | | | | | | | SIMP: (15612) implies:
% 175.47/27.00 | | | | | | | | | | | | | | | | (15613) all_52_1 = e1
% 175.47/27.00 | | | | | | | | | | | | | | | |
% 175.47/27.00 | | | | | | | | | | | | | | | | REDUCE: (731), (15613) imply:
% 175.47/27.00 | | | | | | | | | | | | | | | | (15614) op(e2, e1) = unit
% 175.47/27.00 | | | | | | | | | | | | | | | |
% 175.47/27.00 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_12_1, unit, e1, e2,
% 175.47/27.00 | | | | | | | | | | | | | | | | simplifying with (15409), (15614) gives:
% 175.47/27.00 | | | | | | | | | | | | | | | | (15615) all_12_1 = unit
% 175.47/27.00 | | | | | | | | | | | | | | | |
% 175.47/27.00 | | | | | | | | | | | | | | | | REDUCE: (15453), (15615) imply:
% 175.47/27.00 | | | | | | | | | | | | | | | | (15616) ~ (all_61_4 = unit)
% 175.47/27.00 | | | | | | | | | | | | | | | |
% 175.47/27.00 | | | | | | | | | | | | | | | | REDUCE: (15487), (15615) imply:
% 175.47/27.00 | | | | | | | | | | | | | | | | (15617) ~ (all_61_13 = unit)
% 175.47/27.00 | | | | | | | | | | | | | | | |
% 175.47/27.00 | | | | | | | | | | | | | | | | REDUCE: (15457), (15615) imply:
% 175.47/27.00 | | | | | | | | | | | | | | | | (15618) ~ (all_8_1 = unit)
% 175.47/27.00 | | | | | | | | | | | | | | | |
% 175.47/27.00 | | | | | | | | | | | | | | | | SIMP: (15618) implies:
% 175.47/27.00 | | | | | | | | | | | | | | | | (15619) ~ (all_8_1 = unit)
% 175.47/27.00 | | | | | | | | | | | | | | | |
% 175.47/27.00 | | | | | | | | | | | | | | | | REDUCE: (15458), (15615) imply:
% 175.47/27.00 | | | | | | | | | | | | | | | | (15620) ~ (unit = e1)
% 175.47/27.00 | | | | | | | | | | | | | | | |
% 175.47/27.00 | | | | | | | | | | | | | | | | REDUCE: (15459), (15615) imply:
% 175.47/27.00 | | | | | | | | | | | | | | | | (15621) ~ (unit = e0)
% 175.47/27.00 | | | | | | | | | | | | | | | |
% 175.47/27.00 | | | | | | | | | | | | | | | | BETA: splitting (11697) gives:
% 175.47/27.00 | | | | | | | | | | | | | | | |
% 175.47/27.00 | | | | | | | | | | | | | | | | Case 1:
% 175.47/27.00 | | | | | | | | | | | | | | | | |
% 175.47/27.00 | | | | | | | | | | | | | | | | | (15622) unit = e2
% 175.47/27.00 | | | | | | | | | | | | | | | | |
% 175.47/27.00 | | | | | | | | | | | | | | | | | REDUCE: (15616), (15622) imply:
% 175.47/27.00 | | | | | | | | | | | | | | | | | (15623) ~ (all_61_4 = e2)
% 175.47/27.00 | | | | | | | | | | | | | | | | |
% 175.47/27.00 | | | | | | | | | | | | | | | | | REDUCE: (15617), (15622) imply:
% 175.47/27.00 | | | | | | | | | | | | | | | | | (15624) ~ (all_61_13 = e2)
% 175.47/27.00 | | | | | | | | | | | | | | | | |
% 175.47/27.00 | | | | | | | | | | | | | | | | | REDUCE: (15619), (15622) imply:
% 175.47/27.01 | | | | | | | | | | | | | | | | | (15625) ~ (all_8_1 = e2)
% 175.47/27.01 | | | | | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | | | | | BETA: splitting (260) gives:
% 175.47/27.01 | | | | | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | | | | | Case 1:
% 175.47/27.01 | | | | | | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | | | | | | (15626) all_63_11 = e3
% 175.47/27.01 | | | | | | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11646), (15626) imply:
% 175.47/27.01 | | | | | | | | | | | | | | | | | | (15627) all_8_1 = e3
% 175.47/27.01 | | | | | | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | | | | | | REDUCE: (11654), (15627) imply:
% 175.47/27.01 | | | | | | | | | | | | | | | | | | (15628) ~ (all_61_13 = e3)
% 175.47/27.01 | | | | | | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | | | | | | BETA: splitting (264) gives:
% 175.47/27.01 | | | | | | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | | | | | | Case 1:
% 175.47/27.01 | | | | | | | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | | | | | | | (15629) all_63_7 = e3
% 175.47/27.01 | | | | | | | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (498), (15629) imply:
% 175.47/27.01 | | | | | | | | | | | | | | | | | | | (15630) all_61_13 = e3
% 175.47/27.01 | | | | | | | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | | | | | | | REDUCE: (15628), (15630) imply:
% 175.47/27.01 | | | | | | | | | | | | | | | | | | | (15631) $false
% 175.47/27.01 | | | | | | | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | | | | | | | CLOSE: (15631) is inconsistent.
% 175.47/27.01 | | | | | | | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | | | | | | Case 2:
% 175.47/27.01 | | | | | | | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | | | | | | | (15632) all_63_7 = e2 | all_63_7 = e1 | all_63_7 = e0
% 175.47/27.01 | | | | | | | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | | | | | | | BETA: splitting (15632) gives:
% 175.47/27.01 | | | | | | | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | | | | | | | Case 1:
% 175.47/27.01 | | | | | | | | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | | | | | | | | (15633) all_63_7 = e2
% 175.47/27.01 | | | | | | | | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (498), (15633) imply:
% 175.47/27.01 | | | | | | | | | | | | | | | | | | | | (15634) all_61_13 = e2
% 175.47/27.01 | | | | | | | | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | | | | | | | | REDUCE: (15624), (15634) imply:
% 175.47/27.01 | | | | | | | | | | | | | | | | | | | | (15635) $false
% 175.47/27.01 | | | | | | | | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | | | | | | | | CLOSE: (15635) is inconsistent.
% 175.47/27.01 | | | | | | | | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | | | | | | | Case 2:
% 175.47/27.01 | | | | | | | | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | | | | | | | | (15636) all_63_7 = e1 | all_63_7 = e0
% 175.47/27.01 | | | | | | | | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (270), (488), (498), (15414), (15486), (15488),
% 175.47/27.01 | | | | | | | | | | | | | | | | | | | | (15524), (15623), (15636) are inconsistent by
% 175.47/27.01 | | | | | | | | | | | | | | | | | | | | sub-proof #126.
% 175.47/27.01 | | | | | | | | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | | | | | | | End of split
% 175.47/27.01 | | | | | | | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | | | | | | End of split
% 175.47/27.01 | | | | | | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | | | | | Case 2:
% 175.47/27.01 | | | | | | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | | | | | | (15637) ~ (all_63_11 = e3)
% 175.47/27.01 | | | | | | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | | | | | | REDUCE: (11646), (15637) imply:
% 175.47/27.01 | | | | | | | | | | | | | | | | | | (15638) ~ (all_8_1 = e3)
% 175.47/27.01 | | | | | | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | | | | | | REF_CLOSE: (257), (11645), (11657), (15595), (15625), (15638)
% 175.47/27.01 | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #150.
% 175.47/27.01 | | | | | | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | | | | | End of split
% 175.47/27.01 | | | | | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | | | | Case 2:
% 175.47/27.01 | | | | | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | | | | | (15639) unit = e1 | unit = e0
% 175.47/27.01 | | | | | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | | | | | REF_CLOSE: (15620), (15621), (15639) are inconsistent by
% 175.47/27.01 | | | | | | | | | | | | | | | | | sub-proof #419.
% 175.47/27.01 | | | | | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | | | | End of split
% 175.47/27.01 | | | | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | | | End of split
% 175.47/27.01 | | | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | | End of split
% 175.47/27.01 | | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | Case 2:
% 175.47/27.01 | | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | | (15640) all_63_0 = e2 | all_63_0 = e1 | all_63_0 = e0
% 175.47/27.01 | | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | | REF_CLOSE: (588), (15514), (15519), (15521), (15640) are
% 175.47/27.01 | | | | | | | | | | | | | | inconsistent by sub-proof #503.
% 175.47/27.01 | | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | End of split
% 175.47/27.01 | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | Case 2:
% 175.47/27.01 | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | (15641) all_40_2 = e1
% 175.47/27.01 | | | | | | | | | | | | | (15642) op(e3, e1) = all_40_1 & $i(all_40_1) & ( ~
% 175.47/27.01 | | | | | | | | | | | | | (all_40_1 = e0) | ( ~ (all_40_0 = e2) & op(e0,
% 175.47/27.01 | | | | | | | | | | | | | e3) = all_40_0 & $i(all_40_0)))
% 175.47/27.01 | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | ALPHA: (15642) implies:
% 175.47/27.01 | | | | | | | | | | | | | (15643) op(e3, e1) = all_40_1
% 175.47/27.01 | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | COMBINE_EQS: (553), (15641) imply:
% 175.47/27.01 | | | | | | | | | | | | | (15644) all_14_2 = e1
% 175.47/27.01 | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | COMBINE_EQS: (466), (15644) imply:
% 175.47/27.01 | | | | | | | | | | | | | (15645) all_48_2 = e1
% 175.47/27.01 | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | REDUCE: (597), (15644) imply:
% 175.47/27.01 | | | | | | | | | | | | | (15646) ~ (all_61_3 = e1)
% 175.47/27.01 | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | REDUCE: (601), (15644) imply:
% 175.47/27.01 | | | | | | | | | | | | | (15647) ~ (all_61_8 = e1)
% 175.47/27.01 | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | REDUCE: (634), (15644) imply:
% 175.47/27.01 | | | | | | | | | | | | | (15648) op(e1, e3) = all_65_0
% 175.47/27.01 | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | REDUCE: (635), (15644) imply:
% 175.47/27.01 | | | | | | | | | | | | | (15649) op(e1, e2) = all_65_1
% 175.47/27.01 | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | REDUCE: (636), (15644) imply:
% 175.47/27.01 | | | | | | | | | | | | | (15650) op(e1, e1) = all_65_2
% 175.47/27.01 | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | REDUCE: (637), (15644) imply:
% 175.47/27.01 | | | | | | | | | | | | | (15651) op(e1, e0) = all_65_3
% 175.47/27.01 | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | REDUCE: (698), (15644) imply:
% 175.47/27.01 | | | | | | | | | | | | | (15652) op(e3, e1) = all_65_0
% 175.47/27.01 | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | REDUCE: (67), (15644) imply:
% 175.47/27.01 | | | | | | | | | | | | | (15653) op(e3, e3) = e1
% 175.47/27.01 | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | REDUCE: (715), (15644) imply:
% 175.47/27.01 | | | | | | | | | | | | | (15654) op(e2, e1) = all_65_16
% 175.47/27.01 | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | REDUCE: (732), (15644) imply:
% 175.47/27.01 | | | | | | | | | | | | | (15655) op(e1, e1) = all_65_32
% 175.47/27.01 | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | BETA: splitting (119) gives:
% 175.47/27.01 | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | Case 1:
% 175.47/27.01 | | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | | (15656) ~ (all_48_2 = e1)
% 175.47/27.01 | | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | | REDUCE: (15645), (15656) imply:
% 175.47/27.01 | | | | | | | | | | | | | | (15657) $false
% 175.47/27.01 | | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | | CLOSE: (15657) is inconsistent.
% 175.47/27.01 | | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | Case 2:
% 175.47/27.01 | | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | | (15658) op(e3, e1) = all_48_1 & $i(all_48_1) & ( ~
% 175.47/27.01 | | | | | | | | | | | | | | (all_48_1 = e2) | ( ~ (all_48_0 = e0) & op(e2,
% 175.47/27.01 | | | | | | | | | | | | | | e3) = all_48_0 & $i(all_48_0)))
% 175.47/27.01 | | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | | ALPHA: (15658) implies:
% 175.47/27.01 | | | | | | | | | | | | | | (15659) op(e3, e1) = all_48_1
% 175.47/27.01 | | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_8_1, all_65_3, e0, e1,
% 175.47/27.01 | | | | | | | | | | | | | | simplifying with (11606), (15651) gives:
% 175.47/27.01 | | | | | | | | | | | | | | (15660) all_65_3 = all_8_1
% 175.47/27.01 | | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e0, all_65_2, e1, e1,
% 175.47/27.01 | | | | | | | | | | | | | | simplifying with (11622), (15650) gives:
% 175.47/27.01 | | | | | | | | | | | | | | (15661) all_65_2 = e0
% 175.47/27.01 | | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_32, all_65_2, e1,
% 175.47/27.01 | | | | | | | | | | | | | | e1, simplifying with (15650), (15655) gives:
% 175.47/27.01 | | | | | | | | | | | | | | (15662) all_65_2 = all_65_32
% 175.47/27.01 | | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_12_1, all_65_1, e2,
% 175.47/27.01 | | | | | | | | | | | | | | e1, simplifying with (15473), (15649) gives:
% 175.47/27.01 | | | | | | | | | | | | | | (15663) all_65_1 = all_12_1
% 175.47/27.01 | | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_2, all_65_0, e3,
% 175.47/27.01 | | | | | | | | | | | | | | e1, simplifying with (230), (15648) gives:
% 175.47/27.01 | | | | | | | | | | | | | | (15664) all_65_0 = all_61_2
% 175.47/27.01 | | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_12_1, all_65_16, e1,
% 175.47/27.01 | | | | | | | | | | | | | | e2, simplifying with (15409), (15654) gives:
% 175.47/27.01 | | | | | | | | | | | | | | (15665) all_65_16 = all_12_1
% 175.47/27.01 | | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_8, all_48_1, e1,
% 175.47/27.01 | | | | | | | | | | | | | | e3, simplifying with (236), (15659) gives:
% 175.47/27.01 | | | | | | | | | | | | | | (15666) all_61_8 = all_48_1
% 175.47/27.01 | | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_8, all_65_0, e1,
% 175.47/27.01 | | | | | | | | | | | | | | e3, simplifying with (236), (15652) gives:
% 175.47/27.01 | | | | | | | | | | | | | | (15667) all_65_0 = all_61_8
% 175.47/27.01 | | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_40_1, all_65_0, e1,
% 175.47/27.01 | | | | | | | | | | | | | | e3, simplifying with (15643), (15652) gives:
% 175.47/27.01 | | | | | | | | | | | | | | (15668) all_65_0 = all_40_1
% 175.47/27.01 | | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | | COMBINE_EQS: (15664), (15668) imply:
% 175.47/27.01 | | | | | | | | | | | | | | (15669) all_61_2 = all_40_1
% 175.47/27.01 | | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | | SIMP: (15669) implies:
% 175.47/27.01 | | | | | | | | | | | | | | (15670) all_61_2 = all_40_1
% 175.47/27.01 | | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | | COMBINE_EQS: (15667), (15668) imply:
% 175.47/27.01 | | | | | | | | | | | | | | (15671) all_61_8 = all_40_1
% 175.47/27.01 | | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | | SIMP: (15671) implies:
% 175.47/27.01 | | | | | | | | | | | | | | (15672) all_61_8 = all_40_1
% 175.47/27.01 | | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | | COMBINE_EQS: (15661), (15662) imply:
% 175.47/27.01 | | | | | | | | | | | | | | (15673) all_65_32 = e0
% 175.47/27.01 | | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | | COMBINE_EQS: (15666), (15672) imply:
% 175.47/27.01 | | | | | | | | | | | | | | (15674) all_48_1 = all_40_1
% 175.47/27.01 | | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | | COMBINE_EQS: (499), (15670) imply:
% 175.47/27.01 | | | | | | | | | | | | | | (15675) all_63_8 = all_40_1
% 175.47/27.01 | | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | | COMBINE_EQS: (489), (15672) imply:
% 175.47/27.01 | | | | | | | | | | | | | | (15676) all_63_2 = all_40_1
% 175.47/27.01 | | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | | REDUCE: (211), (15670) imply:
% 175.47/27.01 | | | | | | | | | | | | | | (15677) ~ (all_61_3 = all_40_1)
% 175.47/27.01 | | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | | SIMP: (15677) implies:
% 175.47/27.01 | | | | | | | | | | | | | | (15678) ~ (all_61_3 = all_40_1)
% 175.47/27.01 | | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | | REDUCE: (201), (15672) imply:
% 175.47/27.01 | | | | | | | | | | | | | | (15679) ~ (all_61_4 = all_40_1)
% 175.47/27.01 | | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | | REDUCE: (15456), (15672) imply:
% 175.47/27.01 | | | | | | | | | | | | | | (15680) ~ (all_40_1 = all_12_1)
% 175.47/27.01 | | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | | REDUCE: (15647), (15672) imply:
% 175.47/27.01 | | | | | | | | | | | | | | (15681) ~ (all_40_1 = e1)
% 175.47/27.01 | | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | | REDUCE: (11612), (15672) imply:
% 175.47/27.01 | | | | | | | | | | | | | | (15682) ~ (all_40_1 = e0)
% 175.47/27.01 | | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | | REDUCE: (650), (15665) imply:
% 175.47/27.01 | | | | | | | | | | | | | | (15683) op(all_61_1, e3) = all_12_1
% 175.47/27.01 | | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | | REDUCE: (667), (15670) imply:
% 175.47/27.01 | | | | | | | | | | | | | | (15684) op(all_40_1, e2) = all_65_33
% 175.47/27.01 | | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | | REDUCE: (668), (15670) imply:
% 175.47/27.01 | | | | | | | | | | | | | | (15685) op(all_40_1, e1) = all_65_34
% 175.47/27.01 | | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | | REDUCE: (669), (15670) imply:
% 175.47/27.01 | | | | | | | | | | | | | | (15686) op(all_40_1, e0) = all_65_35
% 175.47/27.01 | | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | | REDUCE: (643), (15672) imply:
% 175.47/27.01 | | | | | | | | | | | | | | (15687) op(all_40_1, e2) = all_65_9
% 175.47/27.01 | | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | | REDUCE: (11658), (15672) imply:
% 175.47/27.01 | | | | | | | | | | | | | | (15688) op(all_40_1, e1) = all_61_12
% 175.47/27.01 | | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | | REDUCE: (11685), (15672) imply:
% 175.47/27.01 | | | | | | | | | | | | | | (15689) op(all_40_1, e0) = all_65_14
% 175.47/27.01 | | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | | REDUCE: (699), (15663) imply:
% 175.47/27.01 | | | | | | | | | | | | | | (15690) op(e3, all_61_4) = all_12_1
% 175.47/27.01 | | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | | REDUCE: (11672), (15670) imply:
% 175.47/27.01 | | | | | | | | | | | | | | (15691) op(e1, all_40_1) = all_61_3
% 175.47/27.01 | | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | | REDUCE: (734), (15672) imply:
% 175.47/27.01 | | | | | | | | | | | | | | (15692) op(e1, all_40_1) = all_65_34
% 175.47/27.01 | | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | | REDUCE: (757), (15670) imply:
% 175.47/27.01 | | | | | | | | | | | | | | (15693) op(e0, all_40_1) = all_65_65
% 175.47/27.01 | | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | | REDUCE: (751), (15672) imply:
% 175.47/27.01 | | | | | | | | | | | | | | (15694) op(e0, all_40_1) = all_65_53
% 175.47/27.01 | | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_65, all_65_53,
% 175.47/27.01 | | | | | | | | | | | | | | all_40_1, e0, simplifying with (15693), (15694)
% 175.47/27.01 | | | | | | | | | | | | | | gives:
% 175.47/27.01 | | | | | | | | | | | | | | (15695) all_65_53 = all_65_65
% 175.47/27.01 | | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_3, all_65_34,
% 175.47/27.01 | | | | | | | | | | | | | | all_40_1, e1, simplifying with (15691), (15692)
% 175.47/27.01 | | | | | | | | | | | | | | gives:
% 175.47/27.01 | | | | | | | | | | | | | | (15696) all_65_34 = all_61_3
% 175.47/27.01 | | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_35, all_65_14, e0,
% 175.47/27.01 | | | | | | | | | | | | | | all_40_1, simplifying with (15686), (15689) gives:
% 175.47/27.01 | | | | | | | | | | | | | | (15697) all_65_14 = all_65_35
% 175.47/27.01 | | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_12, all_65_34, e1,
% 175.47/27.01 | | | | | | | | | | | | | | all_40_1, simplifying with (15685), (15688) gives:
% 175.47/27.01 | | | | | | | | | | | | | | (15698) all_65_34 = all_61_12
% 175.47/27.01 | | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_33, all_65_9, e2,
% 175.47/27.01 | | | | | | | | | | | | | | all_40_1, simplifying with (15684), (15687) gives:
% 175.47/27.01 | | | | | | | | | | | | | | (15699) all_65_9 = all_65_33
% 175.47/27.01 | | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | | COMBINE_EQS: (15696), (15698) imply:
% 175.47/27.01 | | | | | | | | | | | | | | (15700) all_61_3 = all_61_12
% 175.47/27.01 | | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | | SIMP: (15700) implies:
% 175.47/27.01 | | | | | | | | | | | | | | (15701) all_61_3 = all_61_12
% 175.47/27.01 | | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | | REDUCE: (15678), (15701) imply:
% 175.47/27.01 | | | | | | | | | | | | | | (15702) ~ (all_61_12 = all_40_1)
% 175.47/27.01 | | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | | REDUCE: (15646), (15701) imply:
% 175.47/27.01 | | | | | | | | | | | | | | (15703) ~ (all_61_12 = e1)
% 175.47/27.01 | | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | | REDUCE: (683), (15701) imply:
% 175.47/27.01 | | | | | | | | | | | | | | (15704) op(all_61_12, e2) = all_65_51
% 175.47/27.01 | | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | | REDUCE: (684), (15695), (15701) imply:
% 175.47/27.01 | | | | | | | | | | | | | | (15705) op(all_61_12, e1) = all_65_65
% 175.47/27.01 | | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | | REDUCE: (685), (15701) imply:
% 175.47/27.01 | | | | | | | | | | | | | | (15706) op(all_61_12, e0) = all_65_55
% 175.47/27.01 | | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | | REDUCE: (648), (15697) imply:
% 175.47/27.01 | | | | | | | | | | | | | | (15707) op(all_61_12, e1) = all_65_35
% 175.47/27.01 | | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | | REDUCE: (15468), (15699) imply:
% 175.47/27.01 | | | | | | | | | | | | | | (15708) op(e3, all_12_1) = all_65_33
% 175.47/27.01 | | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | | REDUCE: (11668), (15697) imply:
% 175.47/27.01 | | | | | | | | | | | | | | (15709) op(e3, all_8_1) = all_65_35
% 175.47/27.01 | | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | | REDUCE: (15510), (15701) imply:
% 175.47/27.01 | | | | | | | | | | | | | | (15710) op(e2, all_61_12) = all_65_57
% 175.47/27.01 | | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | | REDUCE: (761), (15701) imply:
% 175.47/27.01 | | | | | | | | | | | | | | (15711) op(e0, all_61_12) = all_65_73
% 175.47/27.01 | | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_55, all_65_73,
% 175.47/27.01 | | | | | | | | | | | | | | all_61_12, e0, simplifying with (752), (15711)
% 175.47/27.01 | | | | | | | | | | | | | | gives:
% 175.47/27.01 | | | | | | | | | | | | | | (15712) all_65_55 = all_65_73
% 175.47/27.01 | | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_19, all_65_57,
% 175.47/27.01 | | | | | | | | | | | | | | all_61_12, e2, simplifying with (718), (15710)
% 175.47/27.01 | | | | | | | | | | | | | | gives:
% 175.47/27.01 | | | | | | | | | | | | | | (15713) all_65_19 = all_65_57
% 175.47/27.01 | | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_15, all_65_55, e0,
% 175.47/27.01 | | | | | | | | | | | | | | all_61_12, simplifying with (649), (15706) gives:
% 175.47/27.01 | | | | | | | | | | | | | | (15714) all_65_15 = all_65_55
% 175.47/27.01 | | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_65, all_65_35, e1,
% 175.47/27.01 | | | | | | | | | | | | | | all_61_12, simplifying with (15705), (15707)
% 175.47/27.01 | | | | | | | | | | | | | | gives:
% 175.47/27.01 | | | | | | | | | | | | | | (15715) all_65_35 = all_65_65
% 175.47/27.01 | | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_13, all_65_51, e2,
% 175.47/27.01 | | | | | | | | | | | | | | all_61_12, simplifying with (647), (15704) gives:
% 175.47/27.01 | | | | | | | | | | | | | | (15716) all_65_13 = all_65_51
% 175.47/27.01 | | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | | COMBINE_EQS: (15712), (15714) imply:
% 175.47/27.01 | | | | | | | | | | | | | | (15717) all_65_15 = all_65_73
% 175.47/27.01 | | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | | REDUCE: (15706), (15712) imply:
% 175.47/27.01 | | | | | | | | | | | | | | (15718) op(all_61_12, e0) = all_65_73
% 175.47/27.01 | | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | | REDUCE: (15686), (15715) imply:
% 175.47/27.01 | | | | | | | | | | | | | | (15719) op(all_40_1, e0) = all_65_65
% 175.47/27.01 | | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | | REDUCE: (15495), (15716) imply:
% 175.47/27.01 | | | | | | | | | | | | | | (15720) op(e3, all_61_13) = all_65_51
% 175.47/27.01 | | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | | REDUCE: (713), (15717) imply:
% 175.47/27.01 | | | | | | | | | | | | | | (15721) op(e3, all_20_2) = all_65_73
% 175.47/27.01 | | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | | REDUCE: (15709), (15715) imply:
% 175.47/27.01 | | | | | | | | | | | | | | (15722) op(e3, all_8_1) = all_65_65
% 175.47/27.01 | | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | | BETA: splitting (110) gives:
% 175.47/27.01 | | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | | Case 1:
% 175.47/27.01 | | | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | | | (15723) ~ (all_42_2 = e1)
% 175.47/27.01 | | | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | | | REDUCE: (532), (15723) imply:
% 175.47/27.01 | | | | | | | | | | | | | | | (15724) ~ (all_20_2 = e1)
% 175.47/27.01 | | | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | | | BETA: splitting (256) gives:
% 175.47/27.01 | | | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | | | Case 1:
% 175.47/27.01 | | | | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | | | | (15725) all_63_15 = e3
% 175.47/27.01 | | | | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | | | | REF_CLOSE: (422), (15517), (15725) are inconsistent by
% 175.47/27.01 | | | | | | | | | | | | | | | | sub-proof #501.
% 175.47/27.01 | | | | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | | | Case 2:
% 175.47/27.01 | | | | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | | | | (15726) all_63_15 = e2 | all_63_15 = e1 | all_63_15 = e0
% 175.47/27.01 | | | | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | | | | BETA: splitting (15726) gives:
% 175.47/27.01 | | | | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | | | | Case 1:
% 175.47/27.01 | | | | | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | | | | | (15727) all_63_15 = e2
% 175.47/27.01 | | | | | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | | | | | REF_CLOSE: (422), (15515), (15727) are inconsistent by
% 175.47/27.01 | | | | | | | | | | | | | | | | | sub-proof #500.
% 175.47/27.01 | | | | | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | | | | Case 2:
% 175.47/27.01 | | | | | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | | | | | (15728) all_63_15 = e1 | all_63_15 = e0
% 175.47/27.01 | | | | | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | | | | | BETA: splitting (15728) gives:
% 175.47/27.01 | | | | | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | | | | | Case 1:
% 175.47/27.01 | | | | | | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | | | | | | (15729) all_63_15 = e1
% 175.47/27.01 | | | | | | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | | | | | | REF_CLOSE: (422), (15724), (15729) are inconsistent by
% 175.47/27.01 | | | | | | | | | | | | | | | | | | sub-proof #499.
% 175.47/27.01 | | | | | | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | | | | | Case 2:
% 175.47/27.01 | | | | | | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | | | | | | (15730) all_63_15 = e0
% 175.47/27.01 | | | | | | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (422), (15730) imply:
% 175.47/27.01 | | | | | | | | | | | | | | | | | | (15731) all_20_2 = e0
% 175.47/27.01 | | | | | | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | | | | | | SIMP: (15731) implies:
% 175.47/27.01 | | | | | | | | | | | | | | | | | | (15732) all_20_2 = e0
% 175.47/27.01 | | | | | | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | | | | | | REDUCE: (625), (15732) imply:
% 175.47/27.01 | | | | | | | | | | | | | | | | | | (15733) ~ (all_61_12 = e0)
% 175.47/27.01 | | | | | | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | | | | | | REDUCE: (626), (15732) imply:
% 175.47/27.01 | | | | | | | | | | | | | | | | | | (15734) ~ (all_61_13 = e0)
% 175.47/27.01 | | | | | | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | | | | | | REDUCE: (11656), (15732) imply:
% 175.47/27.01 | | | | | | | | | | | | | | | | | | (15735) ~ (all_8_1 = e0)
% 175.47/27.01 | | | | | | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | | | | | | REDUCE: (11662), (15732) imply:
% 175.47/27.01 | | | | | | | | | | | | | | | | | | (15736) op(all_8_1, e1) = e0
% 175.47/27.01 | | | | | | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | | | | | | REDUCE: (15721), (15732) imply:
% 175.47/27.01 | | | | | | | | | | | | | | | | | | (15737) op(e3, e0) = all_65_73
% 175.47/27.01 | | | | | | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | | | | | | REDUCE: (15512), (15732) imply:
% 175.47/27.01 | | | | | | | | | | | | | | | | | | (15738) op(e2, e0) = all_65_75
% 175.47/27.01 | | | | | | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | | | | | | REDUCE: (11689), (15732) imply:
% 175.47/27.01 | | | | | | | | | | | | | | | | | | (15739) op(e1, e0) = all_65_77
% 175.47/27.01 | | | | | | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | | | | | | REDUCE: (764), (15732) imply:
% 175.47/27.01 | | | | | | | | | | | | | | | | | | (15740) op(e0, e0) = all_65_78
% 175.47/27.01 | | | | | | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | | | | | | REDUCE: (76), (15732) imply:
% 175.47/27.01 | | | | | | | | | | | | | | | | | | (15741) op(e0, e0) = e0
% 175.47/27.01 | | | | | | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e0, all_65_78, e0, e0,
% 175.47/27.01 | | | | | | | | | | | | | | | | | | simplifying with (15740), (15741) gives:
% 175.47/27.01 | | | | | | | | | | | | | | | | | | (15742) all_65_78 = e0
% 175.47/27.01 | | | | | | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_8_1, all_65_77, e0,
% 175.47/27.01 | | | | | | | | | | | | | | | | | | e1, simplifying with (11606), (15739) gives:
% 175.47/27.01 | | | | | | | | | | | | | | | | | | (15743) all_65_77 = all_8_1
% 175.47/27.01 | | | | | | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_13, all_65_75, e0,
% 175.47/27.01 | | | | | | | | | | | | | | | | | | e2, simplifying with (231), (15738) gives:
% 175.47/27.01 | | | | | | | | | | | | | | | | | | (15744) all_65_75 = all_61_13
% 175.47/27.01 | | | | | | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_12, all_65_73, e0,
% 175.47/27.01 | | | | | | | | | | | | | | | | | | e3, simplifying with (235), (15737) gives:
% 175.47/27.01 | | | | | | | | | | | | | | | | | | (15745) all_65_73 = all_61_12
% 175.47/27.01 | | | | | | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | | | | | | BETA: splitting (163) gives:
% 175.47/27.01 | | | | | | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | | | | | | Case 1:
% 175.47/27.01 | | | | | | | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | | | | | | | (15746) ~ (all_58_1 = e0)
% 175.47/27.01 | | | | | | | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | | | | | | | REDUCE: (481), (15746) imply:
% 175.47/27.01 | | | | | | | | | | | | | | | | | | | (15747) ~ (all_52_1 = e0)
% 175.47/27.01 | | | | | | | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | | | | | | | BETA: splitting (158) gives:
% 175.47/27.01 | | | | | | | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | | | | | | | Case 1:
% 175.47/27.01 | | | | | | | | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | | | | | | | | (15748) ~ (all_58_3 = e2)
% 175.47/27.01 | | | | | | | | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | | | | | | | | REDUCE: (475), (15748) imply:
% 175.47/27.01 | | | | | | | | | | | | | | | | | | | | (15749) ~ (all_52_3 = e2)
% 175.47/27.01 | | | | | | | | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | | | | | | | | BETA: splitting (157) gives:
% 175.47/27.01 | | | | | | | | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.47/27.01 | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | | | | | | | | | (15750) ~ (all_58_3 = e1)
% 175.47/27.01 | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | | | | | | | | | REDUCE: (475), (15750) imply:
% 175.47/27.01 | | | | | | | | | | | | | | | | | | | | | (15751) ~ (all_52_3 = e1)
% 175.47/27.01 | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (159) gives:
% 175.47/27.01 | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.47/27.01 | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | | | | | | | | | | (15752) ~ (all_58_3 = e3)
% 175.47/27.01 | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (475), (15752) imply:
% 175.47/27.01 | | | | | | | | | | | | | | | | | | | | | | (15753) ~ (all_52_3 = e3)
% 175.47/27.01 | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (148) gives:
% 175.47/27.01 | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.47/27.01 | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | (15754) all_56_3 = e3
% 175.47/27.01 | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (539), (15754) imply:
% 175.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | (15755) all_52_3 = e3
% 175.47/27.01 | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15753), (15755) imply:
% 175.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | (15756) $false
% 175.47/27.01 | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (15756) is inconsistent.
% 175.47/27.01 | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.47/27.01 | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | (15757) all_56_3 = e2 | all_56_3 = e1 | all_56_3 = e0
% 175.47/27.01 | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15757) gives:
% 175.47/27.01 | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | (15758) all_56_3 = e2
% 175.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (539), (15758) imply:
% 175.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | (15759) all_52_3 = e2
% 175.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15749), (15759) imply:
% 175.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | (15760) $false
% 175.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (15760) is inconsistent.
% 175.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | (15761) all_56_3 = e1 | all_56_3 = e0
% 175.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15761) gives:
% 175.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | (15762) all_56_3 = e1
% 175.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (539), (15762) imply:
% 175.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | (15763) all_52_3 = e1
% 175.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15751), (15763) imply:
% 175.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | (15764) $false
% 175.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (15764) is inconsistent.
% 175.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | (15765) all_56_3 = e0
% 175.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (539), (15765) imply:
% 175.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | (15766) all_52_3 = e0
% 175.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (765), (15766) imply:
% 175.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | (15767) op(e0, e0) = unit
% 175.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e0, unit, e0, e0,
% 175.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (15741), (15767) gives:
% 175.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | (15768) unit = e0
% 175.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6), (15768) imply:
% 175.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | (15769) op(e3, e0) = e3
% 175.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5), (15768) imply:
% 175.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | (15770) op(e2, e0) = e2
% 175.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_13, e2, e0, e2,
% 175.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (231), (15770) gives:
% 175.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | (15771) all_61_13 = e2
% 175.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_12, e3, e0, e3,
% 175.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (235), (15769) gives:
% 175.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | (15772) all_61_12 = e3
% 175.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (212), (15771) imply:
% 175.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | (15773) ~ (all_61_1 = e2)
% 175.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15486), (15771) imply:
% 175.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | (15774) ~ (all_61_4 = e2)
% 175.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15487), (15771) imply:
% 175.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | (15775) ~ (all_12_1 = e2)
% 175.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15775) implies:
% 175.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | (15776) ~ (all_12_1 = e2)
% 175.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15720), (15771) imply:
% 175.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | (15777) op(e3, e2) = all_65_51
% 175.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15710), (15772) imply:
% 175.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | (15778) op(e2, e3) = all_65_57
% 175.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (265) gives:
% 175.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | (15779) all_63_6 = e3
% 175.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15450), (15779) imply:
% 175.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | (15780) all_12_1 = e3
% 175.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15451), (15780) imply:
% 175.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | (15781) ~ (all_61_1 = e3)
% 175.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15453), (15780) imply:
% 175.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | (15782) ~ (all_61_4 = e3)
% 175.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15410) gives:
% 175.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | (15783) ~ (all_12_1 = e3)
% 175.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15780), (15783) imply:
% 175.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | (15784) $false
% 175.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (15784) is inconsistent.
% 175.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | (15785) ~ (all_12_0 = e0) & op(e3, e2) = all_12_0 &
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_12_0)
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15785) implies:
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | (15786) ~ (all_12_0 = e0)
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | (15787) op(e3, e2) = all_12_0
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (267) gives:
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15788) all_63_4 = e3
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (493), (15788) imply:
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15789) all_61_1 = e3
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15781), (15789) imply:
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15790) $false
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (15790) is inconsistent.
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15791) all_63_4 = e2 | all_63_4 = e1 | all_63_4 = e0
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15791) gives:
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15792) all_63_4 = e2
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (493), (15792) imply:
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15793) all_61_1 = e2
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15773), (15793) imply:
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15794) $false
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (15794) is inconsistent.
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15795) all_63_4 = e1 | all_63_4 = e0
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15795) gives:
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15796) all_63_4 = e1
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (493), (15796) imply:
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15797) all_61_1 = e1
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15413), (15797) imply:
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15798) $false
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (15798) is inconsistent.
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15799) all_63_4 = e0
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (493), (15799) imply:
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15800) all_61_1 = e0
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (234), (15800) imply:
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15801) op(e2, e3) = e0
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (753), (15800) imply:
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15802) op(e0, e0) = all_65_57
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (270) gives:
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15803) all_63_1 = e3
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (488), (15803) imply:
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15804) all_61_4 = e3
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15782), (15804) imply:
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15805) $false
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (15805) is inconsistent.
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15806) all_63_1 = e2 | all_63_1 = e1 | all_63_1 = e0
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15806) gives:
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15807) all_63_1 = e2
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (488), (15807) imply:
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15808) all_61_4 = e2
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15774), (15808) imply:
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15809) $false
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (15809) is inconsistent.
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15810) all_63_1 = e1 | all_63_1 = e0
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15810) gives:
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15811) all_63_1 = e1
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (488), (15811) imply:
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15812) all_61_4 = e1
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15414), (15812) imply:
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15813) $false
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (15813) is inconsistent.
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15814) all_63_1 = e0
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (488), (15814) imply:
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15815) all_61_4 = e0
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (750), (15815) imply:
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15816) op(e0, e0) = all_65_51
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_57, all_65_51, e0,
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, simplifying with (15802), (15816) gives:
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15817) all_65_51 = all_65_57
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e0, all_65_57, e3, e2,
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (15778), (15801) gives:
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15818) all_65_57 = e0
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_12_0, all_65_51, e2,
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, simplifying with (15777), (15787) gives:
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15819) all_65_51 = all_12_0
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15817), (15819) imply:
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15820) all_65_57 = all_12_0
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15820) implies:
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15821) all_65_57 = all_12_0
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15818), (15821) imply:
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15822) all_12_0 = e0
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15822) implies:
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15823) all_12_0 = e0
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15786), (15823) imply:
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15824) $false
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (15824) is inconsistent.
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | (15825) all_63_6 = e2 | all_63_6 = e1 | all_63_6 = e0
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (497), (11613), (15417), (15450), (15776), (15825)
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #125.
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | (15826) all_58_0 = e0
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (484), (15826) imply:
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | (15827) all_52_0 = e0
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | SIMP: (15827) implies:
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | (15828) all_52_0 = e0
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (714), (15828) imply:
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | (15829) op(e3, e0) = unit
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_12, unit, e0, e3,
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | simplifying with (235), (15829) gives:
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | (15830) all_61_12 = unit
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (491), (15830) imply:
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | (15831) all_63_3 = unit
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15702), (15830) imply:
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | (15832) ~ (all_40_1 = unit)
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | SIMP: (15832) implies:
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | (15833) ~ (all_40_1 = unit)
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (268) gives:
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | (15834) all_63_3 = e3
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15831), (15834) imply:
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | (15835) unit = e3
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11696), (15835) imply:
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | (15836) $false
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (15836) is inconsistent.
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | (15837) all_63_3 = e2 | all_63_3 = e1 | all_63_3 = e0
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15837) gives:
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | (15838) all_63_3 = e2
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15831), (15838) imply:
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | (15839) unit = e2
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15833), (15839) imply:
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | (15840) ~ (all_40_1 = e2)
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6), (15839) imply:
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | (15841) op(e3, e2) = e3
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (269) gives:
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | (15842) all_63_2 = e3
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15676), (15842) imply:
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | (15843) all_40_1 = e3
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15680), (15843) imply:
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | (15844) ~ (all_12_1 = e3)
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15844) implies:
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | (15845) ~ (all_12_1 = e3)
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15719), (15843) imply:
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | (15846) op(e3, e0) = all_65_65
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15643), (15843) imply:
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | (15847) op(e3, e1) = e3
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (265) gives:
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | (15848) all_63_6 = e3
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15450), (15848) imply:
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | (15849) all_12_1 = e3
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15845), (15849) imply:
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | (15850) $false
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (15850) is inconsistent.
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | (15851) all_63_6 = e2 | all_63_6 = e1 | all_63_6 = e0
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15851) gives:
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | (15852) all_63_6 = e2
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15450), (15852) imply:
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | (15853) all_12_1 = e2
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15451), (15853) imply:
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | (15854) ~ (all_61_1 = e2)
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15453), (15853) imply:
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | (15855) ~ (all_61_4 = e2)
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15487), (15853) imply:
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | (15856) ~ (all_61_13 = e2)
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15457), (15853) imply:
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | (15857) ~ (all_8_1 = e2)
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15857) implies:
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | (15858) ~ (all_8_1 = e2)
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15461), (15853) imply:
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | (15859) op(e2, e3) = all_65_36
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15690), (15853) imply:
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | (15860) op(e3, all_61_4) = e2
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15708), (15853) imply:
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | (15861) op(e3, e2) = all_65_33
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (264) gives:
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15862) all_63_7 = e3
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (498), (15862) imply:
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15863) all_61_13 = e3
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (212), (15863) imply:
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15864) ~ (all_61_1 = e3)
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15486), (15863) imply:
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15865) ~ (all_61_4 = e3)
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11654), (15863) imply:
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15866) ~ (all_8_1 = e3)
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15866) implies:
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15867) ~ (all_8_1 = e3)
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15491), (15863) imply:
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15868) op(e3, e2) = all_8_1
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15492), (15863) imply:
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15869) op(e3, e1) = all_65_67
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (257) gives:
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15870) all_63_14 = e3
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11645), (15870) imply:
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15871) all_8_1 = e3
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15867), (15871) imply:
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15872) $false
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (15872) is inconsistent.
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15873) all_63_14 = e2 | all_63_14 = e1 | all_63_14 = e0
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15873) gives:
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15874) all_63_14 = e2
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11645), (15874) imply:
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15875) all_8_1 = e2
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15858), (15875) imply:
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15876) $false
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (15876) is inconsistent.
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15877) all_63_14 = e1 | all_63_14 = e0
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15877) gives:
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15878) all_63_14 = e1
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11645), (15878) imply:
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15879) all_8_1 = e1
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15722), (15879) imply:
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15880) op(e3, e1) = all_65_65
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15868), (15879) imply:
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15881) op(e3, e2) = e1
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (267) gives:
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15882) all_63_4 = e3
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (493), (15882) imply:
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15883) all_61_1 = e3
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15864), (15883) imply:
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15884) $false
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (15884) is inconsistent.
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15885) all_63_4 = e2 | all_63_4 = e1 | all_63_4 = e0
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15885) gives:
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15886) all_63_4 = e2
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (493), (15886) imply:
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15887) all_61_1 = e2
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15854), (15887) imply:
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15888) $false
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (15888) is inconsistent.
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15889) all_63_4 = e1 | all_63_4 = e0
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (270) gives:
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15890) all_63_1 = e3
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (488), (15890) imply:
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15891) all_61_4 = e3
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15865), (15891) imply:
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15892) $false
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (15892) is inconsistent.
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15893) all_63_1 = e2 | all_63_1 = e1 | all_63_1 = e0
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15889) gives:
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15894) all_63_4 = e1
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (493), (15894) imply:
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15895) all_61_1 = e1
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15413), (15895) imply:
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15896) $false
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (15896) is inconsistent.
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15897) all_63_4 = e0
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (493), (15897) imply:
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15898) all_61_1 = e0
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (702), (15898) imply:
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15899) op(e3, e0) = all_65_4
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (234), (15898) imply:
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15900) op(e2, e3) = e0
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (736), (15898) imply:
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15901) op(e1, e0) = all_65_36
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15893) gives:
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15902) all_63_1 = e2
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (488), (15902) imply:
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15903) all_61_4 = e2
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15855), (15903) imply:
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15904) $false
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (15904) is inconsistent.
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15905) all_63_1 = e1 | all_63_1 = e0
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15905) gives:
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15906) all_63_1 = e1
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (488), (15906) imply:
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15907) all_61_4 = e1
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15414), (15907) imply:
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15908) $false
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (15908) is inconsistent.
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15909) all_63_1 = e0
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (488), (15909) imply:
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15910) all_61_4 = e0
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15414), (15910) imply:
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15911) ~ (e1 = e0)
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15860), (15910) imply:
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15912) op(e3, e0) = e2
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (733), (15910) imply:
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15913) op(e1, e0) = all_65_33
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_36, all_65_33, e0,
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, simplifying with (15901), (15913) gives:
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15914) all_65_33 = all_65_36
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e0, all_65_36, e3, e2,
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (15859), (15900) gives:
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15915) all_65_36 = e0
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_65, all_65_4, e0,
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, simplifying with (15846), (15899) gives:
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15916) all_65_4 = all_65_65
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e2, all_65_4, e0, e3,
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (15899), (15912) gives:
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15917) all_65_4 = e2
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e3, all_65_67, e1, e3,
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (15847), (15869) gives:
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15918) all_65_67 = e3
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_67, all_65_65, e1,
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, simplifying with (15869), (15880) gives:
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15919) all_65_65 = all_65_67
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e3, all_65_33, e2, e3,
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (15841), (15861) gives:
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15920) all_65_33 = e3
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e1, all_65_33, e2, e3,
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (15861), (15881) gives:
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15921) all_65_33 = e1
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15916), (15917) imply:
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15922) all_65_65 = e2
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15922) implies:
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15923) all_65_65 = e2
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15914), (15920) imply:
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15924) all_65_36 = e3
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15924) implies:
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15925) all_65_36 = e3
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15920), (15921) imply:
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15926) e3 = e1
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15915), (15925) imply:
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15927) e3 = e0
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15927) implies:
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15928) e3 = e0
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15919), (15923) imply:
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15929) all_65_67 = e2
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15929) implies:
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15930) all_65_67 = e2
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15918), (15930) imply:
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15931) e3 = e2
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15931) implies:
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15932) e3 = e2
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15926), (15932) imply:
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15933) e2 = e1
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15928), (15932) imply:
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15934) e2 = e0
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (15933), (15934) are inconsistent by
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #403.
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15935) all_63_14 = e0
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11645), (15935) imply:
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15936) all_8_1 = e0
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11657), (15936) imply:
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15937) $false
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (15937) is inconsistent.
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15938) all_63_7 = e2 | all_63_7 = e1 | all_63_7 = e0
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (263), (269), (270), (488), (498), (15414),
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15486), (15488), (15675), (15676), (15679),
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15681), (15682), (15840), (15855), (15856),
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15938) are inconsistent by sub-proof #124.
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | (15939) all_63_6 = e1 | all_63_6 = e0
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (497), (11613), (15417), (15939) are inconsistent
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #408.
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | (15940) ~ (all_63_2 = e3)
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15676), (15940) imply:
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | (15941) ~ (all_40_1 = e3)
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (263), (15675), (15681), (15682), (15840), (15941)
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #432.
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | (15942) all_63_3 = e1 | all_63_3 = e0
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (491), (15703), (15733), (15942) are inconsistent
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #490.
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | End of split
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | (15943) all_58_3 = e1
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | (15944) all_58_2 = e0
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (478), (15944) imply:
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | (15945) all_52_2 = e0
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (475), (15943) imply:
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | (15946) all_52_3 = e1
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (50), (633), (748), (11606), (15736),
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | (15945), (15946) are inconsistent by sub-proof
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | #167.
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | End of split
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | Case 2:
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | (15947) all_58_1 = e0
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (481), (15747), (15947) are inconsistent by
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | sub-proof #462.
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | End of split
% 175.47/27.03 | | | | | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | | | | Case 2:
% 175.47/27.03 | | | | | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | (15948) all_58_1 = e0
% 175.47/27.03 | | | | | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (481), (15948) imply:
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | (15949) all_52_1 = e0
% 175.47/27.03 | | | | | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | SIMP: (15949) implies:
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | (15950) all_52_1 = e0
% 175.47/27.03 | | | | | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | REDUCE: (731), (15950) imply:
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | (15951) op(e2, e0) = unit
% 175.47/27.03 | | | | | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_13, unit, e0, e2,
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | simplifying with (231), (15951) gives:
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | (15952) all_61_13 = unit
% 175.47/27.03 | | | | | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (498), (15952) imply:
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | (15953) all_63_7 = unit
% 175.47/27.03 | | | | | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | REDUCE: (180), (15952) imply:
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | (15954) ~ (all_61_12 = unit)
% 175.47/27.03 | | | | | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | REDUCE: (15466), (15952) imply:
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | (15955) op(all_12_1, e1) = unit
% 175.47/27.03 | | | | | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | BETA: splitting (264) gives:
% 175.47/27.03 | | | | | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | Case 1:
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | (15956) all_63_7 = e3
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15953), (15956) imply:
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | (15957) unit = e3
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | REDUCE: (11696), (15957) imply:
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | (15958) $false
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | CLOSE: (15958) is inconsistent.
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | Case 2:
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | (15959) all_63_7 = e2 | all_63_7 = e1 | all_63_7 = e0
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | BETA: splitting (15959) gives:
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | (15960) all_63_7 = e2
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15953), (15960) imply:
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | (15961) unit = e2
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | REDUCE: (15954), (15961) imply:
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | (15962) ~ (all_61_12 = e2)
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | REDUCE: (15955), (15961) imply:
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | (15963) op(all_12_1, e1) = e2
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | REDUCE: (7), (15961) imply:
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | (15964) op(e2, e0) = e0
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | REDUCE: (5), (15961) imply:
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | (15965) op(e2, e2) = e2
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (268) gives:
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | (15966) all_63_3 = e3
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (491), (15966) imply:
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | (15967) all_61_12 = e3
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15702), (15967) imply:
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | (15968) ~ (all_40_1 = e3)
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | SIMP: (15968) implies:
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | (15969) ~ (all_40_1 = e3)
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15705), (15967) imply:
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | (15970) op(e3, e1) = all_65_65
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (263) gives:
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | (15971) all_63_8 = e3
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15675), (15971) imply:
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | (15972) all_40_1 = e3
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15969), (15972) imply:
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | (15973) $false
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (15973) is inconsistent.
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | (15974) all_63_8 = e2 | all_63_8 = e1 | all_63_8 = e0
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15974) gives:
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | | (15975) all_63_8 = e2
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15675), (15975) imply:
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | | (15976) all_40_1 = e2
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15679), (15976) imply:
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | | (15977) ~ (all_61_4 = e2)
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15680), (15976) imply:
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | | (15978) ~ (all_12_1 = e2)
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15978) implies:
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | | (15979) ~ (all_12_1 = e2)
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15684), (15976) imply:
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | | (15980) op(e2, e2) = all_65_33
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15719), (15976) imply:
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | | (15981) op(e2, e0) = all_65_65
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (265) gives:
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | (15982) all_63_6 = e3
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15450), (15982) imply:
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | (15983) all_12_1 = e3
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15453), (15983) imply:
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | (15984) ~ (all_61_4 = e3)
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15461), (15983) imply:
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | (15985) op(e3, e3) = all_65_36
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15963), (15983) imply:
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | (15986) op(e3, e1) = e2
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15708), (15983) imply:
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | (15987) op(e3, e3) = all_65_33
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (270) gives:
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | (15988) all_63_1 = e3
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (488), (15988) imply:
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | (15989) all_61_4 = e3
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15984), (15989) imply:
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | (15990) $false
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (15990) is inconsistent.
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | (15991) all_63_1 = e2 | all_63_1 = e1 | all_63_1 = e0
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15991) gives:
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | (15992) all_63_1 = e2
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (488), (15992) imply:
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | (15993) all_61_4 = e2
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15977), (15993) imply:
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | (15994) $false
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (15994) is inconsistent.
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | (15995) all_63_1 = e1 | all_63_1 = e0
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15995) gives:
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15996) all_63_1 = e1
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (488), (15996) imply:
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15997) all_61_4 = e1
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15414), (15997) imply:
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15998) $false
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (15998) is inconsistent.
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15999) all_63_1 = e0
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (488), (15999) imply:
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16000) all_61_4 = e0
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15414), (16000) imply:
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16001) ~ (e1 = e0)
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (16000) imply:
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16002) op(e2, e0) = all_65_17
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_65, all_65_17, e0,
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, simplifying with (15981), (16002) gives:
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16003) all_65_17 = all_65_65
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e0, all_65_17, e0, e2,
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (15964), (16002) gives:
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16004) all_65_17 = e0
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e2, all_65_33, e2, e2,
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (15965), (15980) gives:
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16005) all_65_33 = e2
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e2, all_65_65, e1, e3,
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (15970), (15986) gives:
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16006) all_65_65 = e2
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e1, all_65_36, e3, e3,
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (15653), (15985) gives:
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16007) all_65_36 = e1
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_36, all_65_33, e3,
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, simplifying with (15985), (15987) gives:
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16008) all_65_33 = all_65_36
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (16003), (16004) imply:
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16009) all_65_65 = e0
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16009) implies:
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16010) all_65_65 = e0
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (16005), (16008) imply:
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16011) all_65_36 = e2
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16011) implies:
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16012) all_65_36 = e2
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (16007), (16012) imply:
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16013) e2 = e1
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (16006), (16010) imply:
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16014) e2 = e0
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (16013), (16014) are inconsistent by
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #360.
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | (16015) all_63_6 = e2 | all_63_6 = e1 | all_63_6 = e0
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (497), (11613), (15417), (15450), (15979), (16015)
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #125.
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | | (16016) all_63_8 = e1 | all_63_8 = e0
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15675), (15681), (15682), (16016) are
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #488.
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | (16017) all_63_3 = e2 | all_63_3 = e1 | all_63_3 = e0
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (491), (15703), (15733), (15962), (16017) are
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #489.
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | End of split
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | (16018) all_63_7 = e1 | all_63_7 = e0
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (498), (15488), (15734), (16018) are inconsistent
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | by sub-proof #475.
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | End of split
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | End of split
% 175.47/27.03 | | | | | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | | | | End of split
% 175.47/27.03 | | | | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | | | End of split
% 175.47/27.03 | | | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | | End of split
% 175.47/27.03 | | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | End of split
% 175.47/27.03 | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | Case 2:
% 175.47/27.03 | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | (16019) all_42_2 = e1
% 175.47/27.03 | | | | | | | | | | | | | | | (16020) op(e0, e1) = all_42_1 & $i(all_42_1) & ( ~
% 175.47/27.03 | | | | | | | | | | | | | | | (all_42_1 = e3) | ( ~ (all_42_0 = e2) & op(e3,
% 175.47/27.03 | | | | | | | | | | | | | | | e0) = all_42_0 & $i(all_42_0)))
% 175.47/27.03 | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | ALPHA: (16020) implies:
% 175.47/27.03 | | | | | | | | | | | | | | | (16021) op(e0, e1) = all_42_1
% 175.47/27.03 | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | COMBINE_EQS: (532), (16019) imply:
% 175.47/27.03 | | | | | | | | | | | | | | | (16022) all_20_2 = e1
% 175.47/27.03 | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | SIMP: (16022) implies:
% 175.47/27.03 | | | | | | | | | | | | | | | (16023) all_20_2 = e1
% 175.47/27.03 | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | COMBINE_EQS: (582), (16023) imply:
% 175.47/27.03 | | | | | | | | | | | | | | | (16024) all_50_2 = e1
% 175.47/27.03 | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | REDUCE: (11656), (16023) imply:
% 175.47/27.03 | | | | | | | | | | | | | | | (16025) ~ (all_8_1 = e1)
% 175.47/27.03 | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | SIMP: (16025) implies:
% 175.47/27.03 | | | | | | | | | | | | | | | (16026) ~ (all_8_1 = e1)
% 175.47/27.03 | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | REDUCE: (697), (16023) imply:
% 175.47/27.03 | | | | | | | | | | | | | | | (16027) op(e1, e0) = all_65_78
% 175.47/27.03 | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | REDUCE: (15721), (16023) imply:
% 175.47/27.03 | | | | | | | | | | | | | | | (16028) op(e3, e1) = all_65_73
% 175.47/27.03 | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | REDUCE: (11689), (16023) imply:
% 175.47/27.03 | | | | | | | | | | | | | | | (16029) op(e1, e1) = all_65_77
% 175.47/27.03 | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | REDUCE: (764), (16023) imply:
% 175.47/27.03 | | | | | | | | | | | | | | | (16030) op(e0, e1) = all_65_78
% 175.47/27.03 | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | REDUCE: (76), (16023) imply:
% 175.47/27.03 | | | | | | | | | | | | | | | (16031) op(e0, e0) = e1
% 175.47/27.03 | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | BETA: splitting (122) gives:
% 175.47/27.03 | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | Case 1:
% 175.47/27.03 | | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | | (16032) ~ (all_50_2 = e1)
% 175.47/27.03 | | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | | REDUCE: (16024), (16032) imply:
% 175.47/27.03 | | | | | | | | | | | | | | | | (16033) $false
% 175.47/27.03 | | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | | CLOSE: (16033) is inconsistent.
% 175.47/27.03 | | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | Case 2:
% 175.47/27.03 | | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | | (16034) op(e0, e1) = all_50_1 & $i(all_50_1) & ( ~
% 175.47/27.03 | | | | | | | | | | | | | | | | (all_50_1 = e2) | ( ~ (all_50_0 = e3) & op(e2,
% 175.47/27.03 | | | | | | | | | | | | | | | | e0) = all_50_0 & $i(all_50_0)))
% 175.47/27.03 | | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | | ALPHA: (16034) implies:
% 175.47/27.03 | | | | | | | | | | | | | | | | (16035) op(e0, e1) = all_50_1
% 175.47/27.03 | | | | | | | | | | | | | | | | (16036) ~ (all_50_1 = e2) | ( ~ (all_50_0 = e3) & op(e2,
% 175.47/27.03 | | | | | | | | | | | | | | | | e0) = all_50_0 & $i(all_50_0))
% 175.47/27.03 | | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | | BETA: splitting (171) gives:
% 175.47/27.03 | | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | | Case 1:
% 175.47/27.03 | | | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | | | (16037) ( ~ (all_60_0 = e1) & op(e3, e3) = all_60_0 &
% 175.47/27.03 | | | | | | | | | | | | | | | | | $i(all_60_0)) | ( ~ (all_60_1 = e1) & op(e2, e2)
% 175.47/27.03 | | | | | | | | | | | | | | | | | = all_60_1 & $i(all_60_1))
% 175.47/27.03 | | | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | | | BETA: splitting (16037) gives:
% 175.47/27.03 | | | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | | | Case 1:
% 175.47/27.03 | | | | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | | | | (16038) ~ (all_60_0 = e1) & op(e3, e3) = all_60_0 &
% 175.47/27.03 | | | | | | | | | | | | | | | | | | $i(all_60_0)
% 175.47/27.03 | | | | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | | | | ALPHA: (16038) implies:
% 175.47/27.03 | | | | | | | | | | | | | | | | | | (16039) ~ (all_60_0 = e1)
% 175.47/27.03 | | | | | | | | | | | | | | | | | | (16040) op(e3, e3) = all_60_0
% 175.47/27.03 | | | | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e1, all_60_0, e3, e3,
% 175.47/27.03 | | | | | | | | | | | | | | | | | | simplifying with (15653), (16040) gives:
% 175.47/27.03 | | | | | | | | | | | | | | | | | | (16041) all_60_0 = e1
% 175.47/27.03 | | | | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | | | | REDUCE: (16039), (16041) imply:
% 175.47/27.03 | | | | | | | | | | | | | | | | | | (16042) $false
% 175.47/27.03 | | | | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | | | | CLOSE: (16042) is inconsistent.
% 175.47/27.03 | | | | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | | | Case 2:
% 175.47/27.03 | | | | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | | | | (16043) ~ (all_60_1 = e1) & op(e2, e2) = all_60_1 &
% 175.47/27.03 | | | | | | | | | | | | | | | | | | $i(all_60_1)
% 175.47/27.03 | | | | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | | | | ALPHA: (16043) implies:
% 175.47/27.03 | | | | | | | | | | | | | | | | | | (16044) ~ (all_60_1 = e1)
% 175.47/27.03 | | | | | | | | | | | | | | | | | | (16045) op(e2, e2) = all_60_1
% 175.47/27.03 | | | | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e1, all_60_1, e2, e2,
% 175.47/27.03 | | | | | | | | | | | | | | | | | | simplifying with (15425), (16045) gives:
% 175.47/27.03 | | | | | | | | | | | | | | | | | | (16046) all_60_1 = e1
% 175.47/27.03 | | | | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | | | | REDUCE: (16044), (16046) imply:
% 175.47/27.03 | | | | | | | | | | | | | | | | | | (16047) $false
% 175.47/27.03 | | | | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | | | | CLOSE: (16047) is inconsistent.
% 175.47/27.03 | | | | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | | | End of split
% 175.47/27.03 | | | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | | Case 2:
% 175.47/27.03 | | | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | | | (16048) ( ~ (all_60_2 = e1) & op(e1, e1) = all_60_2 &
% 175.47/27.03 | | | | | | | | | | | | | | | | | $i(all_60_2)) | ( ~ (all_60_3 = e1) & op(e0, e0)
% 175.47/27.03 | | | | | | | | | | | | | | | | | = all_60_3 & $i(all_60_3))
% 175.47/27.03 | | | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | | | BETA: splitting (16048) gives:
% 175.47/27.03 | | | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | | | Case 1:
% 175.47/27.03 | | | | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | | | | (16049) ~ (all_60_2 = e1) & op(e1, e1) = all_60_2 &
% 175.47/27.03 | | | | | | | | | | | | | | | | | | $i(all_60_2)
% 175.47/27.03 | | | | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | | | | ALPHA: (16049) implies:
% 175.47/27.03 | | | | | | | | | | | | | | | | | | (16050) ~ (all_60_2 = e1)
% 175.47/27.03 | | | | | | | | | | | | | | | | | | (16051) op(e1, e1) = all_60_2
% 175.47/27.03 | | | | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_50_1, all_65_78, e1,
% 175.47/27.03 | | | | | | | | | | | | | | | | | | e0, simplifying with (16030), (16035) gives:
% 175.47/27.03 | | | | | | | | | | | | | | | | | | (16052) all_65_78 = all_50_1
% 175.47/27.03 | | | | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_42_1, all_65_78, e1,
% 175.47/27.03 | | | | | | | | | | | | | | | | | | e0, simplifying with (16021), (16030) gives:
% 175.47/27.03 | | | | | | | | | | | | | | | | | | (16053) all_65_78 = all_42_1
% 175.47/27.03 | | | | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_8_1, all_65_78, e0,
% 175.47/27.03 | | | | | | | | | | | | | | | | | | e1, simplifying with (11606), (16027) gives:
% 175.47/27.03 | | | | | | | | | | | | | | | | | | (16054) all_65_78 = all_8_1
% 175.47/27.03 | | | | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e0, all_65_77, e1, e1,
% 175.47/27.03 | | | | | | | | | | | | | | | | | | simplifying with (11622), (16029) gives:
% 175.47/27.03 | | | | | | | | | | | | | | | | | | (16055) all_65_77 = e0
% 175.47/27.03 | | | | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_60_2, all_65_77, e1,
% 175.47/27.03 | | | | | | | | | | | | | | | | | | e1, simplifying with (16029), (16051) gives:
% 175.47/27.03 | | | | | | | | | | | | | | | | | | (16056) all_65_77 = all_60_2
% 175.47/27.03 | | | | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_40_1, all_65_73, e1,
% 175.47/27.03 | | | | | | | | | | | | | | | | | | e3, simplifying with (15643), (16028) gives:
% 175.47/27.03 | | | | | | | | | | | | | | | | | | (16057) all_65_73 = all_40_1
% 175.47/27.03 | | | | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (16055), (16056) imply:
% 175.47/27.03 | | | | | | | | | | | | | | | | | | (16058) all_60_2 = e0
% 175.47/27.03 | | | | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (16052), (16054) imply:
% 175.47/27.03 | | | | | | | | | | | | | | | | | | (16059) all_50_1 = all_8_1
% 175.47/27.03 | | | | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (16052), (16053) imply:
% 175.47/27.03 | | | | | | | | | | | | | | | | | | (16060) all_50_1 = all_42_1
% 175.47/27.03 | | | | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (16059), (16060) imply:
% 175.47/27.03 | | | | | | | | | | | | | | | | | | (16061) all_42_1 = all_8_1
% 175.47/27.03 | | | | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | | | | REDUCE: (16050), (16058) imply:
% 175.47/27.03 | | | | | | | | | | | | | | | | | | (16062) ~ (e1 = e0)
% 175.47/27.03 | | | | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | | | | REDUCE: (15718), (16057) imply:
% 175.47/27.03 | | | | | | | | | | | | | | | | | | (16063) op(all_61_12, e0) = all_40_1
% 175.47/27.03 | | | | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | | | | BETA: splitting (159) gives:
% 175.47/27.03 | | | | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | | | | Case 1:
% 175.47/27.03 | | | | | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | (16064) ~ (all_58_3 = e3)
% 175.47/27.03 | | | | | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | REDUCE: (475), (16064) imply:
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | (16065) ~ (all_52_3 = e3)
% 175.47/27.03 | | | | | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | BETA: splitting (166) gives:
% 175.47/27.03 | | | | | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | Case 1:
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | (16066) ~ (all_58_0 = e0)
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | REDUCE: (484), (16066) imply:
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | (16067) ~ (all_52_0 = e0)
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | BETA: splitting (167) gives:
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | (16068) ~ (all_58_0 = e1)
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | REDUCE: (484), (16068) imply:
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | (16069) ~ (all_52_0 = e1)
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (162) gives:
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | (16070) ~ (all_58_2 = e3)
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (478), (16070) imply:
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | (16071) ~ (all_52_2 = e3)
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (165) gives:
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | (16072) ~ (all_58_1 = e3)
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (481), (16072) imply:
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | (16073) ~ (all_52_1 = e3)
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (168) gives:
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | | (16074) ~ (all_58_0 = e2)
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (484), (16074) imply:
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | | (16075) ~ (all_52_0 = e2)
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (18), (50), (151), (167), (478), (484),
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | | (534), (714), (11622), (15653), (16067), (16071),
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | | (16075) are inconsistent by sub-proof #123.
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | | (16076) all_58_1 = e3
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (481), (16073), (16076) are inconsistent by
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #511.
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | (16077) all_58_1 = e3
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | (16078) all_58_0 = e2
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (484), (16078) imply:
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | (16079) all_52_0 = e2
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16079) implies:
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | (16080) all_52_0 = e2
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (481), (16077) imply:
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | (16081) all_52_1 = e3
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16081) implies:
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | (16082) all_52_1 = e3
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (714), (16080) imply:
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | (16083) op(e3, e2) = unit
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (731), (16082) imply:
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | (16084) op(e2, e3) = unit
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_1, unit, e3, e2,
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (234), (16084) gives:
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | (16085) all_61_1 = unit
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_4, unit, e2, e3,
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (237), (16083) gives:
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | (16086) all_61_4 = unit
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15683), (16085) imply:
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | (16087) op(unit, e3) = all_12_1
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (638), (16086) imply:
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | (16088) op(unit, e3) = all_65_4
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e3, all_65_4, e3, unit,
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (10), (16088) gives:
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | (16089) all_65_4 = e3
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_12_1, all_65_4, e3,
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | unit, simplifying with (16087), (16088) gives:
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | (16090) all_65_4 = all_12_1
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (16089), (16090) imply:
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | (16091) all_12_1 = e3
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15457), (16091) imply:
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | (16092) ~ (all_8_1 = e3)
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (190), (257), (260), (265), (269), (489), (497),
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | (11612), (11613), (11645), (11646), (11651),
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | (11652), (11657), (15417), (15647), (16026),
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | (16036), (16059), (16092) are inconsistent by
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #131.
% 175.47/27.03 | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.04 | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.47/27.04 | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.04 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.47/27.04 | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.04 | | | | | | | | | | | | | | | | | | | | | | (16093) all_58_0 = e1
% 175.47/27.04 | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.04 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (484), (16069), (16093) are inconsistent by
% 175.47/27.04 | | | | | | | | | | | | | | | | | | | | | | sub-proof #470.
% 175.47/27.04 | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.04 | | | | | | | | | | | | | | | | | | | | | End of split
% 175.47/27.04 | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.04 | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.47/27.04 | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.04 | | | | | | | | | | | | | | | | | | | | | (16094) all_58_2 = e3
% 175.47/27.04 | | | | | | | | | | | | | | | | | | | | | (16095) all_58_0 = e1
% 175.47/27.04 | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.04 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (9), (50), (150), (163), (231), (478),
% 175.47/27.04 | | | | | | | | | | | | | | | | | | | | | (481), (484), (536), (628), (631), (731), (11606),
% 175.47/27.04 | | | | | | | | | | | | | | | | | | | | | (11622), (11654), (11697), (15425), (15488),
% 175.47/27.04 | | | | | | | | | | | | | | | | | | | | | (15491), (15492), (15511), (15513), (16067),
% 175.47/27.04 | | | | | | | | | | | | | | | | | | | | | (16094), (16095) are inconsistent by sub-proof
% 175.47/27.04 | | | | | | | | | | | | | | | | | | | | | #122.
% 175.47/27.04 | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.04 | | | | | | | | | | | | | | | | | | | | End of split
% 175.47/27.04 | | | | | | | | | | | | | | | | | | | |
% 175.47/27.04 | | | | | | | | | | | | | | | | | | | Case 2:
% 175.47/27.04 | | | | | | | | | | | | | | | | | | | |
% 175.47/27.04 | | | | | | | | | | | | | | | | | | | | (16096) all_58_3 = e3
% 175.47/27.04 | | | | | | | | | | | | | | | | | | | |
% 175.47/27.04 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (475), (16065), (16096) are inconsistent by
% 175.47/27.04 | | | | | | | | | | | | | | | | | | | | sub-proof #509.
% 175.47/27.04 | | | | | | | | | | | | | | | | | | | |
% 175.47/27.04 | | | | | | | | | | | | | | | | | | | End of split
% 175.47/27.04 | | | | | | | | | | | | | | | | | | |
% 175.47/27.04 | | | | | | | | | | | | | | | | | | Case 2:
% 175.47/27.04 | | | | | | | | | | | | | | | | | | |
% 175.47/27.04 | | | | | | | | | | | | | | | | | | | (16097) all_58_0 = e0
% 175.47/27.04 | | | | | | | | | | | | | | | | | | |
% 175.47/27.04 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (50), (235), (484), (714), (15682), (16063),
% 175.47/27.04 | | | | | | | | | | | | | | | | | | | (16097) are inconsistent by sub-proof #121.
% 175.47/27.04 | | | | | | | | | | | | | | | | | | |
% 175.47/27.04 | | | | | | | | | | | | | | | | | | End of split
% 175.47/27.04 | | | | | | | | | | | | | | | | | |
% 175.47/27.04 | | | | | | | | | | | | | | | | | Case 2:
% 175.47/27.04 | | | | | | | | | | | | | | | | | |
% 175.47/27.04 | | | | | | | | | | | | | | | | | | (16098) ~ (all_60_3 = e1) & op(e0, e0) = all_60_3 &
% 175.47/27.04 | | | | | | | | | | | | | | | | | | $i(all_60_3)
% 175.47/27.04 | | | | | | | | | | | | | | | | | |
% 175.47/27.04 | | | | | | | | | | | | | | | | | | ALPHA: (16098) implies:
% 175.47/27.04 | | | | | | | | | | | | | | | | | | (16099) ~ (all_60_3 = e1)
% 175.47/27.04 | | | | | | | | | | | | | | | | | | (16100) op(e0, e0) = all_60_3
% 175.47/27.04 | | | | | | | | | | | | | | | | | |
% 175.47/27.04 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e1, all_60_3, e0, e0,
% 175.47/27.04 | | | | | | | | | | | | | | | | | | simplifying with (16031), (16100) gives:
% 175.47/27.04 | | | | | | | | | | | | | | | | | | (16101) all_60_3 = e1
% 175.47/27.04 | | | | | | | | | | | | | | | | | |
% 175.47/27.04 | | | | | | | | | | | | | | | | | | REDUCE: (16099), (16101) imply:
% 175.47/27.04 | | | | | | | | | | | | | | | | | | (16102) $false
% 175.47/27.04 | | | | | | | | | | | | | | | | | |
% 175.47/27.04 | | | | | | | | | | | | | | | | | | CLOSE: (16102) is inconsistent.
% 175.47/27.04 | | | | | | | | | | | | | | | | | |
% 175.47/27.04 | | | | | | | | | | | | | | | | | End of split
% 175.47/27.04 | | | | | | | | | | | | | | | | |
% 175.47/27.04 | | | | | | | | | | | | | | | | End of split
% 175.47/27.04 | | | | | | | | | | | | | | | |
% 175.47/27.04 | | | | | | | | | | | | | | | End of split
% 175.47/27.04 | | | | | | | | | | | | | | |
% 175.47/27.04 | | | | | | | | | | | | | | End of split
% 175.47/27.04 | | | | | | | | | | | | | |
% 175.47/27.04 | | | | | | | | | | | | | End of split
% 175.47/27.04 | | | | | | | | | | | | |
% 175.47/27.04 | | | | | | | | | | | | End of split
% 175.47/27.04 | | | | | | | | | | | |
% 175.47/27.04 | | | | | | | | | | | Case 2:
% 175.47/27.04 | | | | | | | | | | | |
% 175.47/27.04 | | | | | | | | | | | | (16103) all_36_2 = e0
% 175.47/27.04 | | | | | | | | | | | | (16104) op(e3, e0) = all_36_1 & $i(all_36_1) & ( ~
% 175.47/27.04 | | | | | | | | | | | | (all_36_1 = e2) | ( ~ (all_36_0 = e1) & op(e2,
% 175.47/27.04 | | | | | | | | | | | | e3) = all_36_0 & $i(all_36_0)))
% 175.47/27.04 | | | | | | | | | | | |
% 175.47/27.04 | | | | | | | | | | | | ALPHA: (16104) implies:
% 175.47/27.04 | | | | | | | | | | | | (16105) op(e3, e0) = all_36_1
% 175.47/27.04 | | | | | | | | | | | | (16106) ~ (all_36_1 = e2) | ( ~ (all_36_0 = e1) & op(e2,
% 175.47/27.04 | | | | | | | | | | | | e3) = all_36_0 & $i(all_36_0))
% 175.47/27.04 | | | | | | | | | | | |
% 175.47/27.04 | | | | | | | | | | | | COMBINE_EQS: (557), (16103) imply:
% 175.47/27.04 | | | | | | | | | | | | (16107) all_14_2 = e0
% 175.47/27.04 | | | | | | | | | | | |
% 175.47/27.04 | | | | | | | | | | | | SIMP: (16107) implies:
% 175.47/27.04 | | | | | | | | | | | | (16108) all_14_2 = e0
% 175.47/27.04 | | | | | | | | | | | |
% 175.47/27.04 | | | | | | | | | | | | COMBINE_EQS: (549), (16108) imply:
% 175.47/27.04 | | | | | | | | | | | | (16109) all_44_2 = e0
% 175.47/27.04 | | | | | | | | | | | |
% 175.47/27.04 | | | | | | | | | | | | REDUCE: (593), (16108) imply:
% 175.47/27.04 | | | | | | | | | | | | (16110) ~ (all_61_1 = e0)
% 175.47/27.04 | | | | | | | | | | | |
% 175.47/27.04 | | | | | | | | | | | | REDUCE: (599), (16108) imply:
% 175.47/27.04 | | | | | | | | | | | | (16111) ~ (all_61_4 = e0)
% 175.47/27.04 | | | | | | | | | | | |
% 175.47/27.04 | | | | | | | | | | | | REDUCE: (603), (16108) imply:
% 175.47/27.04 | | | | | | | | | | | | (16112) ~ (all_61_12 = e0)
% 175.47/27.04 | | | | | | | | | | | |
% 175.47/27.04 | | | | | | | | | | | | REDUCE: (634), (16108) imply:
% 175.47/27.04 | | | | | | | | | | | | (16113) op(e0, e3) = all_65_0
% 175.47/27.04 | | | | | | | | | | | |
% 175.47/27.04 | | | | | | | | | | | | REDUCE: (637), (16108) imply:
% 175.47/27.04 | | | | | | | | | | | | (16114) op(e0, e0) = all_65_3
% 175.47/27.04 | | | | | | | | | | | |
% 175.47/27.04 | | | | | | | | | | | | REDUCE: (698), (16108) imply:
% 175.47/27.04 | | | | | | | | | | | | (16115) op(e3, e0) = all_65_0
% 175.47/27.04 | | | | | | | | | | | |
% 175.47/27.04 | | | | | | | | | | | | REDUCE: (67), (16108) imply:
% 175.47/27.04 | | | | | | | | | | | | (16116) op(e3, e3) = e0
% 175.47/27.04 | | | | | | | | | | | |
% 175.47/27.04 | | | | | | | | | | | | REDUCE: (715), (16108) imply:
% 175.47/27.04 | | | | | | | | | | | | (16117) op(e2, e0) = all_65_16
% 175.47/27.04 | | | | | | | | | | | |
% 175.47/27.04 | | | | | | | | | | | | REDUCE: (732), (16108) imply:
% 175.47/27.04 | | | | | | | | | | | | (16118) op(e1, e0) = all_65_32
% 175.47/27.04 | | | | | | | | | | | |
% 175.47/27.04 | | | | | | | | | | | | REDUCE: (749), (16108) imply:
% 175.47/27.04 | | | | | | | | | | | | (16119) op(e0, e0) = all_65_49
% 175.47/27.04 | | | | | | | | | | | |
% 175.47/27.04 | | | | | | | | | | | | BETA: splitting (113) gives:
% 175.47/27.04 | | | | | | | | | | | |
% 175.47/27.04 | | | | | | | | | | | | Case 1:
% 175.47/27.04 | | | | | | | | | | | | |
% 175.47/27.04 | | | | | | | | | | | | | (16120) ~ (all_44_2 = e0)
% 175.47/27.04 | | | | | | | | | | | | |
% 175.47/27.04 | | | | | | | | | | | | | REDUCE: (16109), (16120) imply:
% 175.47/27.04 | | | | | | | | | | | | | (16121) $false
% 175.47/27.04 | | | | | | | | | | | | |
% 175.47/27.04 | | | | | | | | | | | | | CLOSE: (16121) is inconsistent.
% 175.47/27.04 | | | | | | | | | | | | |
% 175.47/27.04 | | | | | | | | | | | | Case 2:
% 175.47/27.04 | | | | | | | | | | | | |
% 175.47/27.04 | | | | | | | | | | | | | (16122) op(e3, e0) = all_44_1 & $i(all_44_1) & ( ~
% 175.47/27.04 | | | | | | | | | | | | | (all_44_1 = e1) | ( ~ (all_44_0 = e2) & op(e1,
% 175.47/27.04 | | | | | | | | | | | | | e3) = all_44_0 & $i(all_44_0)))
% 175.47/27.04 | | | | | | | | | | | | |
% 175.47/27.04 | | | | | | | | | | | | | ALPHA: (16122) implies:
% 175.47/27.04 | | | | | | | | | | | | | (16123) op(e3, e0) = all_44_1
% 175.47/27.04 | | | | | | | | | | | | |
% 175.47/27.04 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_20_2, all_65_3, e0,
% 175.47/27.04 | | | | | | | | | | | | | e0, simplifying with (76), (16114) gives:
% 175.47/27.04 | | | | | | | | | | | | | (16124) all_65_3 = all_20_2
% 175.47/27.04 | | | | | | | | | | | | |
% 175.47/27.04 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_49, all_65_3, e0,
% 175.47/27.04 | | | | | | | | | | | | | e0, simplifying with (16114), (16119) gives:
% 175.47/27.04 | | | | | | | | | | | | | (16125) all_65_3 = all_65_49
% 175.47/27.04 | | | | | | | | | | | | |
% 175.47/27.04 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_3, all_65_0, e3,
% 175.47/27.04 | | | | | | | | | | | | | e0, simplifying with (226), (16113) gives:
% 175.47/27.04 | | | | | | | | | | | | | (16126) all_65_0 = all_61_3
% 175.47/27.04 | | | | | | | | | | | | |
% 175.47/27.04 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_8_1, all_65_32, e0,
% 175.47/27.04 | | | | | | | | | | | | | e1, simplifying with (11606), (16118) gives:
% 175.47/27.04 | | | | | | | | | | | | | (16127) all_65_32 = all_8_1
% 175.47/27.04 | | | | | | | | | | | | |
% 175.47/27.04 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_13, all_65_16, e0,
% 175.47/27.04 | | | | | | | | | | | | | e2, simplifying with (231), (16117) gives:
% 175.47/27.04 | | | | | | | | | | | | | (16128) all_65_16 = all_61_13
% 175.47/27.04 | | | | | | | | | | | | |
% 175.47/27.04 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_12, all_44_1, e0,
% 175.47/27.04 | | | | | | | | | | | | | e3, simplifying with (235), (16123) gives:
% 175.47/27.04 | | | | | | | | | | | | | (16129) all_61_12 = all_44_1
% 175.47/27.04 | | | | | | | | | | | | |
% 175.47/27.04 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_12, all_65_0, e0,
% 175.47/27.04 | | | | | | | | | | | | | e3, simplifying with (235), (16115) gives:
% 175.47/27.04 | | | | | | | | | | | | | (16130) all_65_0 = all_61_12
% 175.47/27.04 | | | | | | | | | | | | |
% 175.47/27.04 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_36_1, all_65_0, e0,
% 175.47/27.04 | | | | | | | | | | | | | e3, simplifying with (16105), (16115) gives:
% 175.47/27.04 | | | | | | | | | | | | | (16131) all_65_0 = all_36_1
% 175.47/27.04 | | | | | | | | | | | | |
% 175.47/27.04 | | | | | | | | | | | | | COMBINE_EQS: (16130), (16131) imply:
% 175.47/27.04 | | | | | | | | | | | | | (16132) all_61_12 = all_36_1
% 175.47/27.04 | | | | | | | | | | | | |
% 175.47/27.04 | | | | | | | | | | | | | SIMP: (16132) implies:
% 175.47/27.04 | | | | | | | | | | | | | (16133) all_61_12 = all_36_1
% 175.47/27.04 | | | | | | | | | | | | |
% 175.47/27.04 | | | | | | | | | | | | | COMBINE_EQS: (16126), (16131) imply:
% 175.47/27.04 | | | | | | | | | | | | | (16134) all_61_3 = all_36_1
% 175.47/27.04 | | | | | | | | | | | | |
% 175.47/27.04 | | | | | | | | | | | | | SIMP: (16134) implies:
% 175.47/27.04 | | | | | | | | | | | | | (16135) all_61_3 = all_36_1
% 175.47/27.04 | | | | | | | | | | | | |
% 175.47/27.04 | | | | | | | | | | | | | COMBINE_EQS: (16124), (16125) imply:
% 175.47/27.04 | | | | | | | | | | | | | (16136) all_65_49 = all_20_2
% 175.47/27.04 | | | | | | | | | | | | |
% 175.47/27.04 | | | | | | | | | | | | | COMBINE_EQS: (16129), (16133) imply:
% 175.47/27.04 | | | | | | | | | | | | | (16137) all_44_1 = all_36_1
% 175.47/27.04 | | | | | | | | | | | | |
% 175.47/27.04 | | | | | | | | | | | | | COMBINE_EQS: (491), (16133) imply:
% 175.47/27.04 | | | | | | | | | | | | | (16138) all_63_3 = all_36_1
% 175.47/27.04 | | | | | | | | | | | | |
% 175.47/27.04 | | | | | | | | | | | | | REDUCE: (215), (16135) imply:
% 175.47/27.04 | | | | | | | | | | | | | (16139) ~ (all_61_1 = all_36_1)
% 175.47/27.04 | | | | | | | | | | | | |
% 175.47/27.04 | | | | | | | | | | | | | REDUCE: (211), (16135) imply:
% 175.47/27.04 | | | | | | | | | | | | | (16140) ~ (all_61_2 = all_36_1)
% 175.47/27.04 | | | | | | | | | | | | |
% 175.47/27.04 | | | | | | | | | | | | | REDUCE: (200), (16133) imply:
% 175.47/27.04 | | | | | | | | | | | | | (16141) ~ (all_61_4 = all_36_1)
% 175.47/27.04 | | | | | | | | | | | | |
% 175.47/27.04 | | | | | | | | | | | | | REDUCE: (180), (16133) imply:
% 175.47/27.04 | | | | | | | | | | | | | (16142) ~ (all_61_13 = all_36_1)
% 175.47/27.04 | | | | | | | | | | | | |
% 175.47/27.04 | | | | | | | | | | | | | SIMP: (16142) implies:
% 175.47/27.04 | | | | | | | | | | | | | (16143) ~ (all_61_13 = all_36_1)
% 175.47/27.04 | | | | | | | | | | | | |
% 175.47/27.04 | | | | | | | | | | | | | REDUCE: (625), (16133) imply:
% 175.47/27.04 | | | | | | | | | | | | | (16144) ~ (all_36_1 = all_20_2)
% 175.47/27.04 | | | | | | | | | | | | |
% 175.47/27.04 | | | | | | | | | | | | | REDUCE: (11653), (16133) imply:
% 175.47/27.04 | | | | | | | | | | | | | (16145) ~ (all_36_1 = all_8_1)
% 175.47/27.04 | | | | | | | | | | | | |
% 175.47/27.04 | | | | | | | | | | | | | REDUCE: (16112), (16133) imply:
% 175.47/27.04 | | | | | | | | | | | | | (16146) ~ (all_36_1 = e0)
% 175.47/27.04 | | | | | | | | | | | | |
% 175.47/27.04 | | | | | | | | | | | | | REDUCE: (682), (16135), (16136) imply:
% 175.47/27.04 | | | | | | | | | | | | | (16147) op(all_36_1, e3) = all_20_2
% 175.47/27.04 | | | | | | | | | | | | |
% 175.47/27.04 | | | | | | | | | | | | | REDUCE: (683), (16135) imply:
% 175.47/27.04 | | | | | | | | | | | | | (16148) op(all_36_1, e2) = all_65_51
% 175.47/27.04 | | | | | | | | | | | | |
% 175.47/27.04 | | | | | | | | | | | | | REDUCE: (684), (16135) imply:
% 175.47/27.04 | | | | | | | | | | | | | (16149) op(all_36_1, e1) = all_65_53
% 175.47/27.04 | | | | | | | | | | | | |
% 175.47/27.04 | | | | | | | | | | | | | REDUCE: (685), (16135) imply:
% 175.47/27.04 | | | | | | | | | | | | | (16150) op(all_36_1, e0) = all_65_55
% 175.47/27.04 | | | | | | | | | | | | |
% 175.47/27.04 | | | | | | | | | | | | | REDUCE: (11658), (16133) imply:
% 175.47/27.04 | | | | | | | | | | | | | (16151) op(all_61_8, e1) = all_36_1
% 175.47/27.04 | | | | | | | | | | | | |
% 175.47/27.04 | | | | | | | | | | | | | REDUCE: (646), (16133) imply:
% 175.47/27.04 | | | | | | | | | | | | | (16152) op(all_36_1, e3) = all_65_12
% 175.47/27.04 | | | | | | | | | | | | |
% 175.47/27.04 | | | | | | | | | | | | | REDUCE: (647), (16133) imply:
% 175.47/27.04 | | | | | | | | | | | | | (16153) op(all_36_1, e2) = all_65_13
% 175.47/27.04 | | | | | | | | | | | | |
% 175.47/27.04 | | | | | | | | | | | | | REDUCE: (648), (16133) imply:
% 175.47/27.04 | | | | | | | | | | | | | (16154) op(all_36_1, e1) = all_65_14
% 175.47/27.04 | | | | | | | | | | | | |
% 175.47/27.04 | | | | | | | | | | | | | REDUCE: (649), (16133) imply:
% 175.47/27.04 | | | | | | | | | | | | | (16155) op(all_36_1, e0) = all_65_15
% 175.47/27.04 | | | | | | | | | | | | |
% 175.47/27.04 | | | | | | | | | | | | | REDUCE: (15510), (16135) imply:
% 175.47/27.04 | | | | | | | | | | | | | (16156) op(e2, all_36_1) = all_65_57
% 175.47/27.04 | | | | | | | | | | | | |
% 175.47/27.04 | | | | | | | | | | | | | REDUCE: (718), (16133) imply:
% 175.47/27.04 | | | | | | | | | | | | | (16157) op(e2, all_36_1) = all_65_19
% 175.47/27.04 | | | | | | | | | | | | |
% 175.47/27.04 | | | | | | | | | | | | | REDUCE: (11687), (16135) imply:
% 175.47/27.04 | | | | | | | | | | | | | (16158) op(e1, all_36_1) = all_65_65
% 175.47/27.04 | | | | | | | | | | | | |
% 175.47/27.04 | | | | | | | | | | | | | REDUCE: (735), (16133) imply:
% 175.47/27.04 | | | | | | | | | | | | | (16159) op(e1, all_36_1) = all_65_35
% 175.47/27.04 | | | | | | | | | | | | |
% 175.47/27.04 | | | | | | | | | | | | | REDUCE: (761), (16135) imply:
% 175.47/27.04 | | | | | | | | | | | | | (16160) op(e0, all_36_1) = all_65_73
% 175.47/27.04 | | | | | | | | | | | | |
% 175.47/27.04 | | | | | | | | | | | | | REDUCE: (752), (16133) imply:
% 175.47/27.04 | | | | | | | | | | | | | (16161) op(e0, all_36_1) = all_65_55
% 175.47/27.04 | | | | | | | | | | | | |
% 175.47/27.04 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_73, all_65_55,
% 175.47/27.04 | | | | | | | | | | | | | all_36_1, e0, simplifying with (16160), (16161)
% 175.47/27.04 | | | | | | | | | | | | | gives:
% 175.47/27.04 | | | | | | | | | | | | | (16162) all_65_55 = all_65_73
% 175.47/27.04 | | | | | | | | | | | | |
% 175.47/27.04 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_65, all_65_35,
% 175.47/27.04 | | | | | | | | | | | | | all_36_1, e1, simplifying with (16158), (16159)
% 175.47/27.04 | | | | | | | | | | | | | gives:
% 175.47/27.04 | | | | | | | | | | | | | (16163) all_65_35 = all_65_65
% 175.47/27.04 | | | | | | | | | | | | |
% 175.47/27.04 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_57, all_65_19,
% 175.47/27.04 | | | | | | | | | | | | | all_36_1, e2, simplifying with (16156), (16157)
% 175.47/27.04 | | | | | | | | | | | | | gives:
% 175.47/27.04 | | | | | | | | | | | | | (16164) all_65_19 = all_65_57
% 175.47/27.04 | | | | | | | | | | | | |
% 175.47/27.04 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_55, all_65_15, e0,
% 175.47/27.04 | | | | | | | | | | | | | all_36_1, simplifying with (16150), (16155) gives:
% 175.47/27.04 | | | | | | | | | | | | | (16165) all_65_15 = all_65_55
% 175.47/27.04 | | | | | | | | | | | | |
% 175.47/27.04 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_53, all_65_14, e1,
% 175.47/27.04 | | | | | | | | | | | | | all_36_1, simplifying with (16149), (16154) gives:
% 175.47/27.04 | | | | | | | | | | | | | (16166) all_65_14 = all_65_53
% 175.47/27.04 | | | | | | | | | | | | |
% 175.47/27.04 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_51, all_65_13, e2,
% 175.47/27.04 | | | | | | | | | | | | | all_36_1, simplifying with (16148), (16153) gives:
% 175.47/27.04 | | | | | | | | | | | | | (16167) all_65_13 = all_65_51
% 175.47/27.04 | | | | | | | | | | | | |
% 175.47/27.04 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_20_2, all_65_12, e3,
% 175.47/27.04 | | | | | | | | | | | | | all_36_1, simplifying with (16147), (16152) gives:
% 175.47/27.04 | | | | | | | | | | | | | (16168) all_65_12 = all_20_2
% 175.47/27.04 | | | | | | | | | | | | |
% 175.47/27.04 | | | | | | | | | | | | | COMBINE_EQS: (16162), (16165) imply:
% 175.47/27.04 | | | | | | | | | | | | | (16169) all_65_15 = all_65_73
% 175.47/27.04 | | | | | | | | | | | | |
% 175.47/27.04 | | | | | | | | | | | | | REDUCE: (653), (16164) imply:
% 175.47/27.04 | | | | | | | | | | | | | (16170) op(all_61_1, e0) = all_65_57
% 175.47/27.04 | | | | | | | | | | | | |
% 175.47/27.04 | | | | | | | | | | | | | REDUCE: (669), (16163) imply:
% 175.47/27.04 | | | | | | | | | | | | | (16171) op(all_61_2, e0) = all_65_65
% 175.47/27.04 | | | | | | | | | | | | |
% 175.47/27.04 | | | | | | | | | | | | | REDUCE: (11685), (16166) imply:
% 175.47/27.04 | | | | | | | | | | | | | (16172) op(all_61_8, e0) = all_65_53
% 175.47/27.04 | | | | | | | | | | | | |
% 175.47/27.04 | | | | | | | | | | | | | REDUCE: (16150), (16162) imply:
% 175.47/27.04 | | | | | | | | | | | | | (16173) op(all_36_1, e0) = all_65_73
% 175.47/27.04 | | | | | | | | | | | | |
% 175.47/27.04 | | | | | | | | | | | | | REDUCE: (15495), (16167) imply:
% 175.47/27.04 | | | | | | | | | | | | | (16174) op(e3, all_61_13) = all_65_51
% 175.47/27.04 | | | | | | | | | | | | |
% 175.47/27.04 | | | | | | | | | | | | | REDUCE: (713), (16169) imply:
% 175.47/27.04 | | | | | | | | | | | | | (16175) op(e3, all_20_2) = all_65_73
% 175.47/27.04 | | | | | | | | | | | | |
% 175.47/27.04 | | | | | | | | | | | | | BETA: splitting (110) gives:
% 175.47/27.04 | | | | | | | | | | | | |
% 175.47/27.04 | | | | | | | | | | | | | Case 1:
% 175.47/27.04 | | | | | | | | | | | | | |
% 175.47/27.04 | | | | | | | | | | | | | | (16176) ~ (all_42_2 = e1)
% 175.47/27.04 | | | | | | | | | | | | | |
% 175.47/27.04 | | | | | | | | | | | | | | REDUCE: (532), (16176) imply:
% 175.47/27.04 | | | | | | | | | | | | | | (16177) ~ (all_20_2 = e1)
% 175.47/27.04 | | | | | | | | | | | | | |
% 175.47/27.04 | | | | | | | | | | | | | | BETA: splitting (256) gives:
% 175.47/27.04 | | | | | | | | | | | | | |
% 175.47/27.04 | | | | | | | | | | | | | | Case 1:
% 175.47/27.04 | | | | | | | | | | | | | | |
% 175.47/27.04 | | | | | | | | | | | | | | | (16178) all_63_15 = e3
% 175.47/27.04 | | | | | | | | | | | | | | |
% 175.47/27.04 | | | | | | | | | | | | | | | REF_CLOSE: (422), (15517), (16178) are inconsistent by
% 175.47/27.04 | | | | | | | | | | | | | | | sub-proof #501.
% 175.47/27.04 | | | | | | | | | | | | | | |
% 175.47/27.04 | | | | | | | | | | | | | | Case 2:
% 175.47/27.04 | | | | | | | | | | | | | | |
% 175.47/27.04 | | | | | | | | | | | | | | | (16179) all_63_15 = e2 | all_63_15 = e1 | all_63_15 = e0
% 175.47/27.04 | | | | | | | | | | | | | | |
% 175.47/27.04 | | | | | | | | | | | | | | | BETA: splitting (16179) gives:
% 175.47/27.04 | | | | | | | | | | | | | | |
% 175.47/27.04 | | | | | | | | | | | | | | | Case 1:
% 175.47/27.04 | | | | | | | | | | | | | | | |
% 175.47/27.04 | | | | | | | | | | | | | | | | (16180) all_63_15 = e2
% 175.47/27.04 | | | | | | | | | | | | | | | |
% 175.47/27.04 | | | | | | | | | | | | | | | | REF_CLOSE: (422), (15515), (16180) are inconsistent by
% 175.47/27.04 | | | | | | | | | | | | | | | | sub-proof #500.
% 175.47/27.04 | | | | | | | | | | | | | | | |
% 175.47/27.04 | | | | | | | | | | | | | | | Case 2:
% 175.47/27.04 | | | | | | | | | | | | | | | |
% 175.47/27.04 | | | | | | | | | | | | | | | | (16181) all_63_15 = e1 | all_63_15 = e0
% 175.47/27.04 | | | | | | | | | | | | | | | |
% 175.47/27.04 | | | | | | | | | | | | | | | | BETA: splitting (16181) gives:
% 175.47/27.04 | | | | | | | | | | | | | | | |
% 175.47/27.04 | | | | | | | | | | | | | | | | Case 1:
% 175.47/27.04 | | | | | | | | | | | | | | | | |
% 175.47/27.04 | | | | | | | | | | | | | | | | | (16182) all_63_15 = e1
% 175.47/27.04 | | | | | | | | | | | | | | | | |
% 175.47/27.04 | | | | | | | | | | | | | | | | | REF_CLOSE: (422), (16177), (16182) are inconsistent by
% 175.47/27.04 | | | | | | | | | | | | | | | | | sub-proof #499.
% 175.47/27.04 | | | | | | | | | | | | | | | | |
% 175.47/27.04 | | | | | | | | | | | | | | | | Case 2:
% 175.47/27.04 | | | | | | | | | | | | | | | | |
% 175.47/27.04 | | | | | | | | | | | | | | | | | (16183) all_63_15 = e0
% 175.47/27.04 | | | | | | | | | | | | | | | | |
% 175.47/27.04 | | | | | | | | | | | | | | | | | COMBINE_EQS: (422), (16183) imply:
% 175.47/27.04 | | | | | | | | | | | | | | | | | (16184) all_20_2 = e0
% 175.47/27.04 | | | | | | | | | | | | | | | | |
% 175.47/27.04 | | | | | | | | | | | | | | | | | SIMP: (16184) implies:
% 175.47/27.04 | | | | | | | | | | | | | | | | | (16185) all_20_2 = e0
% 175.47/27.04 | | | | | | | | | | | | | | | | |
% 175.47/27.04 | | | | | | | | | | | | | | | | | REDUCE: (16147), (16185) imply:
% 175.47/27.04 | | | | | | | | | | | | | | | | | (16186) op(all_36_1, e3) = e0
% 175.47/27.04 | | | | | | | | | | | | | | | | |
% 175.47/27.04 | | | | | | | | | | | | | | | | | REDUCE: (11662), (16185) imply:
% 175.47/27.04 | | | | | | | | | | | | | | | | | (16187) op(all_8_1, e1) = e0
% 175.47/27.04 | | | | | | | | | | | | | | | | |
% 175.47/27.04 | | | | | | | | | | | | | | | | | REDUCE: (16175), (16185) imply:
% 175.47/27.04 | | | | | | | | | | | | | | | | | (16188) op(e3, e0) = all_65_73
% 175.47/27.04 | | | | | | | | | | | | | | | | |
% 175.47/27.04 | | | | | | | | | | | | | | | | | REDUCE: (15512), (16185) imply:
% 175.47/27.04 | | | | | | | | | | | | | | | | | (16189) op(e2, e0) = all_65_75
% 175.47/27.04 | | | | | | | | | | | | | | | | |
% 175.47/27.04 | | | | | | | | | | | | | | | | | REDUCE: (11689), (16185) imply:
% 175.47/27.04 | | | | | | | | | | | | | | | | | (16190) op(e1, e0) = all_65_77
% 175.47/27.04 | | | | | | | | | | | | | | | | |
% 175.47/27.04 | | | | | | | | | | | | | | | | | REDUCE: (764), (16185) imply:
% 175.47/27.04 | | | | | | | | | | | | | | | | | (16191) op(e0, e0) = all_65_78
% 175.47/27.04 | | | | | | | | | | | | | | | | |
% 175.47/27.04 | | | | | | | | | | | | | | | | | REDUCE: (76), (16185) imply:
% 175.47/27.04 | | | | | | | | | | | | | | | | | (16192) op(e0, e0) = e0
% 175.47/27.04 | | | | | | | | | | | | | | | | |
% 175.47/27.04 | | | | | | | | | | | | | | | | | BETA: splitting (170) gives:
% 175.47/27.04 | | | | | | | | | | | | | | | | |
% 175.47/27.04 | | | | | | | | | | | | | | | | | Case 1:
% 175.47/27.04 | | | | | | | | | | | | | | | | | |
% 175.47/27.04 | | | | | | | | | | | | | | | | | | (16193) ( ~ (all_60_0 = e0) & op(e3, e3) = all_60_0 &
% 175.47/27.04 | | | | | | | | | | | | | | | | | | $i(all_60_0)) | ( ~ (all_60_1 = e0) & op(e2, e2)
% 175.47/27.04 | | | | | | | | | | | | | | | | | | = all_60_1 & $i(all_60_1))
% 175.47/27.04 | | | | | | | | | | | | | | | | | |
% 175.47/27.04 | | | | | | | | | | | | | | | | | | BETA: splitting (16193) gives:
% 175.47/27.04 | | | | | | | | | | | | | | | | | |
% 175.47/27.04 | | | | | | | | | | | | | | | | | | Case 1:
% 175.47/27.04 | | | | | | | | | | | | | | | | | | |
% 175.47/27.04 | | | | | | | | | | | | | | | | | | | (16194) ~ (all_60_0 = e0) & op(e3, e3) = all_60_0 &
% 175.47/27.04 | | | | | | | | | | | | | | | | | | | $i(all_60_0)
% 175.47/27.04 | | | | | | | | | | | | | | | | | | |
% 175.47/27.04 | | | | | | | | | | | | | | | | | | | ALPHA: (16194) implies:
% 175.47/27.04 | | | | | | | | | | | | | | | | | | | (16195) ~ (all_60_0 = e0)
% 175.47/27.04 | | | | | | | | | | | | | | | | | | | (16196) op(e3, e3) = all_60_0
% 175.47/27.04 | | | | | | | | | | | | | | | | | | |
% 175.47/27.04 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (50), (16116), (16195), (16196) are inconsistent
% 175.47/27.04 | | | | | | | | | | | | | | | | | | | by sub-proof #152.
% 175.47/27.04 | | | | | | | | | | | | | | | | | | |
% 175.47/27.04 | | | | | | | | | | | | | | | | | | Case 2:
% 175.47/27.04 | | | | | | | | | | | | | | | | | | |
% 175.47/27.04 | | | | | | | | | | | | | | | | | | | (16197) ~ (all_60_1 = e0) & op(e2, e2) = all_60_1 &
% 175.47/27.04 | | | | | | | | | | | | | | | | | | | $i(all_60_1)
% 175.47/27.04 | | | | | | | | | | | | | | | | | | |
% 175.47/27.04 | | | | | | | | | | | | | | | | | | | ALPHA: (16197) implies:
% 175.47/27.04 | | | | | | | | | | | | | | | | | | | (16198) ~ (all_60_1 = e0)
% 175.47/27.04 | | | | | | | | | | | | | | | | | | | (16199) op(e2, e2) = all_60_1
% 175.47/27.04 | | | | | | | | | | | | | | | | | | |
% 175.47/27.04 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_8_1, all_65_77, e0,
% 175.47/27.04 | | | | | | | | | | | | | | | | | | | e1, simplifying with (11606), (16190) gives:
% 175.47/27.04 | | | | | | | | | | | | | | | | | | | (16200) all_65_77 = all_8_1
% 175.47/27.04 | | | | | | | | | | | | | | | | | | |
% 175.47/27.04 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_13, all_65_75, e0,
% 175.47/27.04 | | | | | | | | | | | | | | | | | | | e2, simplifying with (231), (16189) gives:
% 175.47/27.04 | | | | | | | | | | | | | | | | | | | (16201) all_65_75 = all_61_13
% 175.47/27.04 | | | | | | | | | | | | | | | | | | |
% 175.47/27.04 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e1, all_60_1, e2, e2,
% 175.47/27.04 | | | | | | | | | | | | | | | | | | | simplifying with (15425), (16199) gives:
% 175.47/27.04 | | | | | | | | | | | | | | | | | | | (16202) all_60_1 = e1
% 175.47/27.04 | | | | | | | | | | | | | | | | | | |
% 175.47/27.04 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_36_1, all_65_73, e0,
% 175.47/27.04 | | | | | | | | | | | | | | | | | | | e3, simplifying with (16105), (16188) gives:
% 175.47/27.04 | | | | | | | | | | | | | | | | | | | (16203) all_65_73 = all_36_1
% 175.47/27.04 | | | | | | | | | | | | | | | | | | |
% 175.47/27.04 | | | | | | | | | | | | | | | | | | | BETA: splitting (157) gives:
% 175.47/27.04 | | | | | | | | | | | | | | | | | | |
% 175.47/27.04 | | | | | | | | | | | | | | | | | | | Case 1:
% 175.47/27.04 | | | | | | | | | | | | | | | | | | | |
% 175.47/27.04 | | | | | | | | | | | | | | | | | | | | (16204) ~ (all_58_3 = e1)
% 175.47/27.04 | | | | | | | | | | | | | | | | | | | |
% 175.47/27.04 | | | | | | | | | | | | | | | | | | | | REDUCE: (475), (16204) imply:
% 175.47/27.04 | | | | | | | | | | | | | | | | | | | | (16205) ~ (all_52_3 = e1)
% 175.47/27.04 | | | | | | | | | | | | | | | | | | | |
% 175.47/27.04 | | | | | | | | | | | | | | | | | | | | BETA: splitting (160) gives:
% 175.47/27.04 | | | | | | | | | | | | | | | | | | | |
% 175.47/27.04 | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.47/27.04 | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.04 | | | | | | | | | | | | | | | | | | | | | (16206) ~ (all_58_2 = e0)
% 175.47/27.04 | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.04 | | | | | | | | | | | | | | | | | | | | | REDUCE: (478), (16206) imply:
% 175.47/27.04 | | | | | | | | | | | | | | | | | | | | | (16207) ~ (all_52_2 = e0)
% 175.47/27.04 | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.04 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (165) gives:
% 175.47/27.04 | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.04 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.47/27.04 | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.04 | | | | | | | | | | | | | | | | | | | | | | (16208) ~ (all_58_1 = e3)
% 175.47/27.04 | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.04 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (481), (16208) imply:
% 175.47/27.04 | | | | | | | | | | | | | | | | | | | | | | (16209) ~ (all_52_1 = e3)
% 175.47/27.04 | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.04 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (166) gives:
% 175.47/27.04 | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.04 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.47/27.04 | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.04 | | | | | | | | | | | | | | | | | | | | | | | (16210) ~ (all_58_0 = e0)
% 175.47/27.04 | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.04 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (484), (16210) imply:
% 175.47/27.04 | | | | | | | | | | | | | | | | | | | | | | | (16211) ~ (all_52_0 = e0)
% 175.47/27.04 | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.04 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (161) gives:
% 175.47/27.04 | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.04 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.47/27.04 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.04 | | | | | | | | | | | | | | | | | | | | | | | | (16212) ~ (all_58_2 = e2)
% 175.47/27.04 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.04 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (478), (16212) imply:
% 175.47/27.04 | | | | | | | | | | | | | | | | | | | | | | | | (16213) ~ (all_52_2 = e2)
% 175.47/27.04 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.04 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (164) gives:
% 175.47/27.04 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.04 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.47/27.04 | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | (16214) ~ (all_58_1 = e1)
% 175.47/27.04 | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (481), (16214) imply:
% 175.47/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | (16215) ~ (all_52_1 = e1)
% 175.47/27.04 | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (9), (18), (50), (150), (163), (231),
% 175.47/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | (481), (536), (731), (11606), (11622), (11654),
% 175.47/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | (11697), (15425), (15488), (15491), (15492),
% 175.47/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | (15511), (15513), (16209), (16215) are
% 175.47/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #127.
% 175.47/27.04 | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.04 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.47/27.04 | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | (16216) all_58_2 = e2
% 175.47/27.04 | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (478), (16213), (16216) are inconsistent by
% 175.47/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #433.
% 175.47/27.04 | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.04 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.47/27.04 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.04 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.47/27.04 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.04 | | | | | | | | | | | | | | | | | | | | | | | | (16217) all_58_2 = e2
% 175.47/27.04 | | | | | | | | | | | | | | | | | | | | | | | | (16218) all_58_1 = e1
% 175.47/27.04 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.04 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (481), (16218) imply:
% 175.47/27.04 | | | | | | | | | | | | | | | | | | | | | | | | (16219) all_52_1 = e1
% 175.47/27.04 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.04 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16219) implies:
% 175.47/27.04 | | | | | | | | | | | | | | | | | | | | | | | | (16220) all_52_1 = e1
% 175.47/27.04 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.04 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (478), (16217) imply:
% 175.47/27.04 | | | | | | | | | | | | | | | | | | | | | | | | (16221) all_52_2 = e2
% 175.47/27.04 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.04 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (628), (16220) imply:
% 175.47/27.04 | | | | | | | | | | | | | | | | | | | | | | | | (16222) ~ (all_52_0 = e1)
% 175.47/27.04 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.04 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (629), (16221) imply:
% 175.47/27.04 | | | | | | | | | | | | | | | | | | | | | | | | (16223) ~ (all_52_0 = e2)
% 175.47/27.04 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.04 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (731), (16220) imply:
% 175.47/27.04 | | | | | | | | | | | | | | | | | | | | | | | | (16224) op(e2, e1) = unit
% 175.47/27.04 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.04 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (151) gives:
% 175.47/27.04 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.04 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.47/27.04 | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | (16225) all_56_0 = e3
% 175.47/27.04 | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (534), (16225) imply:
% 175.47/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | (16226) all_52_0 = e3
% 175.47/27.04 | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16226) implies:
% 175.47/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | (16227) all_52_0 = e3
% 175.47/27.04 | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (714), (16227) imply:
% 175.47/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | (16228) op(e3, e3) = unit
% 175.47/27.04 | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_12_1, unit, e1, e2,
% 175.47/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (15409), (16224) gives:
% 175.47/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | (16229) all_12_1 = unit
% 175.47/27.04 | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e0, unit, e3, e3,
% 175.47/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (16116), (16228) gives:
% 175.47/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | (16230) unit = e0
% 175.47/27.04 | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (16229), (16230) imply:
% 175.47/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | (16231) all_12_1 = e0
% 175.47/27.04 | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15459), (16231) imply:
% 175.47/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | (16232) $false
% 175.47/27.04 | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (16232) is inconsistent.
% 175.47/27.04 | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.04 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.47/27.04 | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | (16233) all_56_0 = e2 | all_56_0 = e1 | all_56_0 = e0
% 175.47/27.04 | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (534), (16211), (16222), (16223), (16233) are
% 175.47/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #512.
% 175.47/27.04 | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.04 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.47/27.04 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.04 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.47/27.04 | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.04 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.47/27.04 | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.04 | | | | | | | | | | | | | | | | | | | | | | | (16234) all_58_3 = e3
% 175.47/27.04 | | | | | | | | | | | | | | | | | | | | | | | (16235) all_58_0 = e0
% 175.47/27.04 | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.04 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (50), (475), (484), (630), (714), (16105),
% 175.47/27.04 | | | | | | | | | | | | | | | | | | | | | | | (16186), (16234), (16235) are inconsistent by
% 175.47/27.04 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #120.
% 175.47/27.04 | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.04 | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.47/27.04 | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | (16236) all_58_1 = e3
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | (16237) all_58_0 = e2
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (484), (16237) imply:
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | (16238) all_52_0 = e2
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | SIMP: (16238) implies:
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | (16239) all_52_0 = e2
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (481), (16236) imply:
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | (16240) all_52_1 = e3
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | SIMP: (16240) implies:
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | (16241) all_52_1 = e3
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (629), (16239) imply:
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | (16242) ~ (all_52_2 = e2)
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | SIMP: (16242) implies:
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | (16243) ~ (all_52_2 = e2)
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (631), (16241) imply:
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | (16244) ~ (all_52_2 = e3)
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | SIMP: (16244) implies:
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | (16245) ~ (all_52_2 = e3)
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (714), (16239) imply:
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | (16246) op(e3, e2) = unit
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (149) gives:
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | (16247) all_56_2 = e3
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (538), (16245), (16247) are inconsistent by
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #482.
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | (16248) all_56_2 = e2 | all_56_2 = e1 | all_56_2 = e0
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16248) gives:
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | (16249) all_56_2 = e2
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (538), (16243), (16249) are inconsistent by
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #481.
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | (16250) all_56_2 = e1 | all_56_2 = e0
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16250) gives:
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | (16251) all_56_2 = e1
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (538), (16251) imply:
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | (16252) all_52_2 = e1
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16252) implies:
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | (16253) all_52_2 = e1
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (748), (16253) imply:
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | (16254) op(e1, e1) = unit
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e0, unit, e1, e1,
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (11622), (16254) gives:
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | (16255) unit = e0
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_4, unit, e2, e3,
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (237), (16246) gives:
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | (16256) all_61_4 = unit
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (16255), (16256) imply:
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | (16257) all_61_4 = e0
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16111), (16257) imply:
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | (16258) $false
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (16258) is inconsistent.
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | (16259) all_56_2 = e0
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (538), (16207), (16259) are inconsistent by
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #480.
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | End of split
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | (16260) all_58_3 = e1
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (475), (16205), (16260) are inconsistent by
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | sub-proof #460.
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | End of split
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | Case 2:
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | (16261) all_58_3 = e1
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | (16262) all_58_2 = e0
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (50), (475), (478), (633), (748), (11606),
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | (16187), (16261), (16262) are inconsistent by
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | sub-proof #166.
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | End of split
% 175.47/27.05 | | | | | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | | | | End of split
% 175.47/27.05 | | | | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | | | Case 2:
% 175.47/27.05 | | | | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | | | | (16263) ( ~ (all_60_2 = e0) & op(e1, e1) = all_60_2 &
% 175.47/27.05 | | | | | | | | | | | | | | | | | | $i(all_60_2)) | ( ~ (all_60_3 = e0) & op(e0, e0)
% 175.47/27.05 | | | | | | | | | | | | | | | | | | = all_60_3 & $i(all_60_3))
% 175.47/27.05 | | | | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | | | | BETA: splitting (16263) gives:
% 175.47/27.05 | | | | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | | | | Case 1:
% 175.47/27.05 | | | | | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | (16264) ~ (all_60_2 = e0) & op(e1, e1) = all_60_2 &
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | $i(all_60_2)
% 175.47/27.05 | | | | | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (50), (11622), (16264) are inconsistent by
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | sub-proof #157.
% 175.47/27.05 | | | | | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | | | | Case 2:
% 175.47/27.05 | | | | | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | (16265) ~ (all_60_3 = e0) & op(e0, e0) = all_60_3 &
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | $i(all_60_3)
% 175.47/27.05 | | | | | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (50), (16191), (16192), (16265) are inconsistent
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | by sub-proof #156.
% 175.47/27.05 | | | | | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | | | | End of split
% 175.47/27.05 | | | | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | | | End of split
% 175.47/27.05 | | | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | | End of split
% 175.47/27.05 | | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | End of split
% 175.47/27.05 | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | End of split
% 175.47/27.05 | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | Case 2:
% 175.47/27.05 | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | (16266) all_42_2 = e1
% 175.47/27.05 | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | COMBINE_EQS: (532), (16266) imply:
% 175.47/27.05 | | | | | | | | | | | | | | (16267) all_20_2 = e1
% 175.47/27.05 | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | SIMP: (16267) implies:
% 175.47/27.05 | | | | | | | | | | | | | | (16268) all_20_2 = e1
% 175.47/27.05 | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | COMBINE_EQS: (582), (16268) imply:
% 175.47/27.05 | | | | | | | | | | | | | | (16269) all_50_2 = e1
% 175.47/27.05 | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | REDUCE: (16144), (16268) imply:
% 175.47/27.05 | | | | | | | | | | | | | | (16270) ~ (all_36_1 = e1)
% 175.47/27.05 | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | REDUCE: (11656), (16268) imply:
% 175.47/27.05 | | | | | | | | | | | | | | (16271) ~ (all_8_1 = e1)
% 175.47/27.05 | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | SIMP: (16271) implies:
% 175.47/27.05 | | | | | | | | | | | | | | (16272) ~ (all_8_1 = e1)
% 175.47/27.05 | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | REDUCE: (694), (16268) imply:
% 175.47/27.05 | | | | | | | | | | | | | | (16273) op(e1, e3) = all_65_73
% 175.47/27.05 | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | REDUCE: (697), (16268) imply:
% 175.47/27.05 | | | | | | | | | | | | | | (16274) op(e1, e0) = all_65_78
% 175.47/27.05 | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | REDUCE: (16175), (16268) imply:
% 175.47/27.05 | | | | | | | | | | | | | | (16275) op(e3, e1) = all_65_73
% 175.47/27.05 | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | REDUCE: (15512), (16268) imply:
% 175.47/27.05 | | | | | | | | | | | | | | (16276) op(e2, e1) = all_65_75
% 175.47/27.05 | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | REDUCE: (11689), (16268) imply:
% 175.47/27.05 | | | | | | | | | | | | | | (16277) op(e1, e1) = all_65_77
% 175.47/27.05 | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | REDUCE: (764), (16268) imply:
% 175.47/27.05 | | | | | | | | | | | | | | (16278) op(e0, e1) = all_65_78
% 175.47/27.05 | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | REDUCE: (76), (16268) imply:
% 175.47/27.05 | | | | | | | | | | | | | | (16279) op(e0, e0) = e1
% 175.47/27.05 | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | BETA: splitting (122) gives:
% 175.47/27.05 | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | Case 1:
% 175.47/27.05 | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | (16280) ~ (all_50_2 = e1)
% 175.47/27.05 | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | REDUCE: (16269), (16280) imply:
% 175.47/27.05 | | | | | | | | | | | | | | | (16281) $false
% 175.47/27.05 | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | CLOSE: (16281) is inconsistent.
% 175.47/27.05 | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | Case 2:
% 175.47/27.05 | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | (16282) op(e0, e1) = all_50_1 & $i(all_50_1) & ( ~
% 175.47/27.05 | | | | | | | | | | | | | | | (all_50_1 = e2) | ( ~ (all_50_0 = e3) & op(e2,
% 175.47/27.05 | | | | | | | | | | | | | | | e0) = all_50_0 & $i(all_50_0)))
% 175.47/27.05 | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | ALPHA: (16282) implies:
% 175.47/27.05 | | | | | | | | | | | | | | | (16283) op(e0, e1) = all_50_1
% 175.47/27.05 | | | | | | | | | | | | | | | (16284) ~ (all_50_1 = e2) | ( ~ (all_50_0 = e3) & op(e2,
% 175.47/27.05 | | | | | | | | | | | | | | | e0) = all_50_0 & $i(all_50_0))
% 175.47/27.05 | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_50_1, all_65_78, e1,
% 175.47/27.05 | | | | | | | | | | | | | | | e0, simplifying with (16278), (16283) gives:
% 175.47/27.05 | | | | | | | | | | | | | | | (16285) all_65_78 = all_50_1
% 175.47/27.05 | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_8_1, all_65_78, e0,
% 175.47/27.05 | | | | | | | | | | | | | | | e1, simplifying with (11606), (16274) gives:
% 175.47/27.05 | | | | | | | | | | | | | | | (16286) all_65_78 = all_8_1
% 175.47/27.05 | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e0, all_65_77, e1, e1,
% 175.47/27.05 | | | | | | | | | | | | | | | simplifying with (11622), (16277) gives:
% 175.47/27.05 | | | | | | | | | | | | | | | (16287) all_65_77 = e0
% 175.47/27.05 | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_2, all_65_73, e3,
% 175.47/27.05 | | | | | | | | | | | | | | | e1, simplifying with (230), (16273) gives:
% 175.47/27.05 | | | | | | | | | | | | | | | (16288) all_65_73 = all_61_2
% 175.47/27.05 | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_12_1, all_65_75, e1,
% 175.47/27.05 | | | | | | | | | | | | | | | e2, simplifying with (15409), (16276) gives:
% 175.47/27.05 | | | | | | | | | | | | | | | (16289) all_65_75 = all_12_1
% 175.47/27.05 | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_8, all_65_73, e1,
% 175.47/27.05 | | | | | | | | | | | | | | | e3, simplifying with (236), (16275) gives:
% 175.47/27.05 | | | | | | | | | | | | | | | (16290) all_65_73 = all_61_8
% 175.47/27.05 | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | COMBINE_EQS: (16288), (16290) imply:
% 175.47/27.05 | | | | | | | | | | | | | | | (16291) all_61_2 = all_61_8
% 175.47/27.05 | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | SIMP: (16291) implies:
% 175.47/27.05 | | | | | | | | | | | | | | | (16292) all_61_2 = all_61_8
% 175.47/27.05 | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | COMBINE_EQS: (16285), (16286) imply:
% 175.47/27.05 | | | | | | | | | | | | | | | (16293) all_50_1 = all_8_1
% 175.47/27.05 | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | SIMP: (16293) implies:
% 175.47/27.05 | | | | | | | | | | | | | | | (16294) all_50_1 = all_8_1
% 175.47/27.05 | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | COMBINE_EQS: (499), (16292) imply:
% 175.47/27.05 | | | | | | | | | | | | | | | (16295) all_63_8 = all_61_8
% 175.47/27.05 | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | REDUCE: (216), (16292) imply:
% 175.47/27.05 | | | | | | | | | | | | | | | (16296) ~ (all_61_1 = all_61_8)
% 175.47/27.05 | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | REDUCE: (16140), (16292) imply:
% 175.47/27.05 | | | | | | | | | | | | | | | (16297) ~ (all_61_8 = all_36_1)
% 175.47/27.05 | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | REDUCE: (667), (16292) imply:
% 175.47/27.05 | | | | | | | | | | | | | | | (16298) op(all_61_8, e2) = all_65_33
% 175.47/27.05 | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | REDUCE: (668), (16292) imply:
% 175.47/27.05 | | | | | | | | | | | | | | | (16299) op(all_61_8, e1) = all_65_34
% 175.47/27.05 | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | REDUCE: (16171), (16292) imply:
% 175.47/27.05 | | | | | | | | | | | | | | | (16300) op(all_61_8, e0) = all_65_65
% 175.47/27.05 | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | REDUCE: (16173), (16290) imply:
% 175.47/27.05 | | | | | | | | | | | | | | | (16301) op(all_36_1, e0) = all_61_8
% 175.47/27.05 | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | REDUCE: (15496), (16292) imply:
% 175.47/27.05 | | | | | | | | | | | | | | | (16302) op(e2, all_61_8) = all_65_36
% 175.47/27.05 | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_18, all_65_36,
% 175.47/27.05 | | | | | | | | | | | | | | | all_61_8, e2, simplifying with (717), (16302)
% 175.47/27.05 | | | | | | | | | | | | | | | gives:
% 175.47/27.05 | | | | | | | | | | | | | | | (16303) all_65_18 = all_65_36
% 175.47/27.05 | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_53, all_65_65, e0,
% 175.47/27.05 | | | | | | | | | | | | | | | all_61_8, simplifying with (16172), (16300) gives:
% 175.47/27.05 | | | | | | | | | | | | | | | (16304) all_65_53 = all_65_65
% 175.47/27.05 | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_36_1, all_65_34, e1,
% 175.47/27.05 | | | | | | | | | | | | | | | all_61_8, simplifying with (16151), (16299) gives:
% 175.47/27.05 | | | | | | | | | | | | | | | (16305) all_65_34 = all_36_1
% 175.47/27.05 | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_9, all_65_33, e2,
% 175.47/27.05 | | | | | | | | | | | | | | | all_61_8, simplifying with (643), (16298) gives:
% 175.47/27.05 | | | | | | | | | | | | | | | (16306) all_65_9 = all_65_33
% 175.47/27.05 | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | REDUCE: (15489), (16306) imply:
% 175.47/27.05 | | | | | | | | | | | | | | | (16307) op(all_61_4, e1) = all_65_33
% 175.47/27.05 | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | REDUCE: (16149), (16304) imply:
% 175.47/27.05 | | | | | | | | | | | | | | | (16308) op(all_36_1, e1) = all_65_65
% 175.47/27.05 | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | REDUCE: (15468), (16306) imply:
% 175.47/27.05 | | | | | | | | | | | | | | | (16309) op(e3, all_12_1) = all_65_33
% 175.47/27.05 | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | BETA: splitting (157) gives:
% 175.47/27.05 | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | Case 1:
% 175.47/27.05 | | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | | (16310) ~ (all_58_3 = e1)
% 175.47/27.05 | | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | | REDUCE: (475), (16310) imply:
% 175.47/27.05 | | | | | | | | | | | | | | | | (16311) ~ (all_52_3 = e1)
% 175.47/27.05 | | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | | BETA: splitting (160) gives:
% 175.47/27.05 | | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | | Case 1:
% 175.47/27.05 | | | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | | | (16312) ~ (all_58_2 = e0)
% 175.47/27.05 | | | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | | | REDUCE: (478), (16312) imply:
% 175.47/27.05 | | | | | | | | | | | | | | | | | (16313) ~ (all_52_2 = e0)
% 175.47/27.05 | | | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | | | BETA: splitting (161) gives:
% 175.47/27.05 | | | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | | | Case 1:
% 175.47/27.05 | | | | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | | | | (16314) ~ (all_58_2 = e2)
% 175.47/27.05 | | | | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (8), (50), (149), (162), (236), (478), (484),
% 175.47/27.05 | | | | | | | | | | | | | | | | | | (538), (714), (748), (11622), (16151), (16270),
% 175.47/27.05 | | | | | | | | | | | | | | | | | | (16279), (16313), (16314) are inconsistent by
% 175.47/27.05 | | | | | | | | | | | | | | | | | | sub-proof #119.
% 175.47/27.05 | | | | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | | | Case 2:
% 175.47/27.05 | | | | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | | | | (16315) all_58_1 = e1
% 175.47/27.05 | | | | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (481), (16315) imply:
% 175.47/27.05 | | | | | | | | | | | | | | | | | | (16316) all_52_1 = e1
% 175.47/27.05 | | | | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | | | | SIMP: (16316) implies:
% 175.47/27.05 | | | | | | | | | | | | | | | | | | (16317) all_52_1 = e1
% 175.47/27.05 | | | | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | | | | REDUCE: (731), (16317) imply:
% 175.47/27.05 | | | | | | | | | | | | | | | | | | (16318) op(e2, e1) = unit
% 175.47/27.05 | | | | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_12_1, unit, e1, e2,
% 175.47/27.05 | | | | | | | | | | | | | | | | | | simplifying with (15409), (16318) gives:
% 175.47/27.05 | | | | | | | | | | | | | | | | | | (16319) all_12_1 = unit
% 175.47/27.05 | | | | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15449), (16319) imply:
% 175.47/27.05 | | | | | | | | | | | | | | | | | | (16320) all_63_9 = unit
% 175.47/27.05 | | | | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | | | | REDUCE: (15451), (16319) imply:
% 175.47/27.05 | | | | | | | | | | | | | | | | | | (16321) ~ (all_61_1 = unit)
% 175.47/27.05 | | | | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | | | | REDUCE: (15453), (16319) imply:
% 175.47/27.05 | | | | | | | | | | | | | | | | | | (16322) ~ (all_61_4 = unit)
% 175.47/27.05 | | | | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | | | | REDUCE: (16309), (16319) imply:
% 175.47/27.05 | | | | | | | | | | | | | | | | | | (16323) op(e3, unit) = all_65_33
% 175.47/27.05 | | | | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | | | | REDUCE: (15498), (16319) imply:
% 175.47/27.05 | | | | | | | | | | | | | | | | | | (16324) op(e1, unit) = all_61_13
% 175.47/27.05 | | | | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | | | | BETA: splitting (262) gives:
% 175.47/27.05 | | | | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | | | | Case 1:
% 175.47/27.05 | | | | | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | (16325) all_63_9 = e3
% 175.47/27.05 | | | | | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (16320), (16325) imply:
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | (16326) unit = e3
% 175.47/27.05 | | | | | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | REDUCE: (11696), (16326) imply:
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | (16327) $false
% 175.47/27.05 | | | | | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | CLOSE: (16327) is inconsistent.
% 175.47/27.05 | | | | | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | | | | Case 2:
% 175.47/27.05 | | | | | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | (16328) all_63_9 = e2 | all_63_9 = e1 | all_63_9 = e0
% 175.47/27.05 | | | | | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | BETA: splitting (16328) gives:
% 175.47/27.05 | | | | | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | Case 1:
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | (16329) all_63_9 = e2
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (16320), (16329) imply:
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | (16330) unit = e2
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | REDUCE: (16321), (16330) imply:
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | (16331) ~ (all_61_1 = e2)
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | REDUCE: (16322), (16330) imply:
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | (16332) ~ (all_61_4 = e2)
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | REDUCE: (16323), (16330) imply:
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | (16333) op(e3, e2) = all_65_33
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | REDUCE: (16318), (16330) imply:
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | (16334) op(e2, e1) = e2
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | REDUCE: (16324), (16330) imply:
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | (16335) op(e1, e2) = all_61_13
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | BETA: splitting (267) gives:
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | (16336) all_63_4 = e3
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (493), (16336) imply:
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | (16337) all_61_1 = e3
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | REDUCE: (651), (16337) imply:
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | (16338) op(e3, e2) = all_65_17
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | REDUCE: (234), (16337) imply:
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | (16339) op(e2, e3) = e3
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (270) gives:
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | (16340) all_63_1 = e3
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (488), (16340) imply:
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | (16341) all_61_4 = e3
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (201), (16341) imply:
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | (16342) ~ (all_61_8 = e3)
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | SIMP: (16342) implies:
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | (16343) ~ (all_61_8 = e3)
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15486), (16341) imply:
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | (16344) ~ (all_61_13 = e3)
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | SIMP: (16344) implies:
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | (16345) ~ (all_61_13 = e3)
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16141), (16341) imply:
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | (16346) ~ (all_36_1 = e3)
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | SIMP: (16346) implies:
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | (16347) ~ (all_36_1 = e3)
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16307), (16341) imply:
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | (16348) op(e3, e1) = all_65_33
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (237), (16341) imply:
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | (16349) op(e3, e2) = e3
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (16341) imply:
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | (16350) op(e2, e3) = all_65_17
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (268) gives:
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | (16351) all_63_3 = e3
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (16138), (16351) imply:
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | (16352) all_36_1 = e3
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16347), (16352) imply:
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | (16353) $false
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (16353) is inconsistent.
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | (16354) all_63_3 = e2 | all_63_3 = e1 | all_63_3 = e0
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16354) gives:
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | (16355) all_63_3 = e2
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (16138), (16355) imply:
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | (16356) all_36_1 = e2
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16297), (16356) imply:
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | (16357) ~ (all_61_8 = e2)
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16143), (16356) imply:
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | (16358) ~ (all_61_13 = e2)
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16145), (16356) imply:
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | (16359) ~ (all_8_1 = e2)
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16359) implies:
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | (16360) ~ (all_8_1 = e2)
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16308), (16356) imply:
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | (16361) op(e2, e1) = all_65_65
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16106) gives:
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | (16362) ~ (all_36_1 = e2)
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16138), (16146), (16270), (16354), (16362) are
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #447.
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | (16363) ~ (all_36_0 = e1) & op(e2, e3) = all_36_0 &
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_36_0)
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16363) implies:
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | (16364) op(e2, e3) = all_36_0
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (264) gives:
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | (16365) all_63_7 = e3
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (498), (16365) imply:
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | (16366) all_61_13 = e3
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16345), (16366) imply:
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | (16367) $false
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (16367) is inconsistent.
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | (16368) all_63_7 = e2 | all_63_7 = e1 | all_63_7 = e0
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16368) gives:
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | (16369) all_63_7 = e2
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (498), (16369) imply:
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | (16370) all_61_13 = e2
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16358), (16370) imply:
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | (16371) $false
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (16371) is inconsistent.
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | (16372) all_63_7 = e1 | all_63_7 = e0
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16372) gives:
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16373) all_63_7 = e1
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (498), (16373) imply:
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16374) all_61_13 = e1
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15488), (16374) imply:
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16375) $false
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (16375) is inconsistent.
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16376) all_63_7 = e0
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (498), (16376) imply:
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16377) all_61_13 = e0
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11654), (16377) imply:
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16378) ~ (all_8_1 = e0)
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15513), (16377) imply:
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16379) op(e1, e0) = all_65_67
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16335), (16377) imply:
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16380) op(e1, e2) = e0
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (263) gives:
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16381) all_63_8 = e3
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16295), (16343), (16381) are inconsistent by
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #118.
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16382) all_63_8 = e2 | all_63_8 = e1 | all_63_8 = e0
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16382) gives:
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16383) all_63_8 = e2
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16295), (16357), (16383) are inconsistent by
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #117.
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16384) all_63_8 = e1 | all_63_8 = e0
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (260) gives:
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16385) all_63_11 = e3
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11646), (16385) imply:
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16386) all_8_1 = e3
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16386) implies:
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16387) all_8_1 = e3
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11661), (16387) imply:
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16388) op(e3, e2) = all_65_67
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16384) gives:
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16389) all_63_8 = e1
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (16295), (16389) imply:
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16390) all_61_8 = e1
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16390) implies:
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16391) all_61_8 = e1
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16298), (16391) imply:
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16392) op(e1, e2) = all_65_33
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16300), (16391) imply:
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16393) op(e1, e0) = all_65_65
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (236), (16391) imply:
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16394) op(e3, e1) = e1
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16302), (16391) imply:
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16395) op(e2, e1) = all_65_36
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11607) gives:
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16396) ~ (all_8_1 = e3)
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (257), (11612), (11645), (11651), (11657),
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16295), (16360), (16384), (16396) are
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #115.
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16397) ~ (all_8_0 = e2) & op(e3, e1) = all_8_0 &
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_0)
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16397) implies:
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16398) op(e3, e1) = all_8_0
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_67, all_65_65, e0,
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, simplifying with (16379), (16393) gives:
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16399) all_65_65 = all_65_67
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e0, all_65_33, e2, e1,
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (16380), (16392) gives:
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16400) all_65_33 = e0
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_65, all_65_36, e1,
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, simplifying with (16361), (16395) gives:
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16401) all_65_36 = all_65_65
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e2, all_65_36, e1, e2,
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (16334), (16395) gives:
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16402) all_65_36 = e2
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e3, all_36_0, e3, e2,
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (16339), (16364) gives:
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16403) all_36_0 = e3
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_36_0, all_65_17, e3,
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, simplifying with (16350), (16364) gives:
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16404) all_65_17 = all_36_0
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e1, all_8_0, e1, e3,
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (16394), (16398) gives:
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16405) all_8_0 = e1
% 175.47/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_8_0, all_65_33, e1,
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, simplifying with (16348), (16398) gives:
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16406) all_65_33 = all_8_0
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e3, all_65_33, e2, e3,
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (16333), (16349) gives:
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16407) all_65_33 = e3
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_67, all_65_17, e2,
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, simplifying with (16338), (16388) gives:
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16408) all_65_17 = all_65_67
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (16404), (16408) imply:
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16409) all_65_67 = all_36_0
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (16400), (16407) imply:
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16410) e3 = e0
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (16406), (16407) imply:
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16411) all_8_0 = e3
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16411) implies:
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16412) all_8_0 = e3
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (16401), (16402) imply:
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16413) all_65_65 = e2
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16413) implies:
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16414) all_65_65 = e2
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (16399), (16414) imply:
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16415) all_65_67 = e2
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16415) implies:
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16416) all_65_67 = e2
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (16409), (16416) imply:
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16417) all_36_0 = e2
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16417) implies:
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16418) all_36_0 = e2
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (16403), (16418) imply:
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16419) e3 = e2
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16419) implies:
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16420) e3 = e2
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (16405), (16412) imply:
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16421) e3 = e1
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16421) implies:
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16422) e3 = e1
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (16420), (16422) imply:
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16423) e2 = e1
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (16410), (16420) imply:
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16424) e2 = e0
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (16423), (16424) are inconsistent by
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #403.
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16425) all_63_8 = e0
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11612), (16295), (16425) are inconsistent by
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #116.
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16426) ~ (all_63_11 = e3)
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11646), (16426) imply:
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16427) ~ (all_8_1 = e3)
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (257), (11612), (11645), (11651), (11657),
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16295), (16360), (16384), (16427) are
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #115.
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | (16428) all_63_3 = e1 | all_63_3 = e0
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16138), (16146), (16270), (16428) are
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #448.
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | (16429) all_63_1 = e2 | all_63_1 = e1 | all_63_1 = e0
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (488), (15414), (16111), (16332), (16429) are
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #485.
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | End of split
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | (16430) all_63_4 = e2 | all_63_4 = e1 | all_63_4 = e0
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (493), (15413), (16110), (16331), (16430) are
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #471.
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | End of split
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | Case 2:
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | (16431) all_63_9 = e1 | all_63_9 = e0
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (501), (11611), (15415), (16431) are inconsistent
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | by sub-proof #367.
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | End of split
% 175.47/27.06 | | | | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | | | End of split
% 175.47/27.06 | | | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | | End of split
% 175.47/27.06 | | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | Case 2:
% 175.47/27.06 | | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | | (16432) all_58_3 = e1
% 175.47/27.06 | | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | | REF_CLOSE: (475), (16311), (16432) are inconsistent by
% 175.47/27.06 | | | | | | | | | | | | | | | | | sub-proof #460.
% 175.47/27.06 | | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | End of split
% 175.47/27.06 | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | Case 2:
% 175.47/27.06 | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | (16433) all_58_2 = e0
% 175.47/27.06 | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | COMBINE_EQS: (478), (16433) imply:
% 175.47/27.06 | | | | | | | | | | | | | | | | (16434) all_52_2 = e0
% 175.47/27.06 | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | SIMP: (16434) implies:
% 175.47/27.06 | | | | | | | | | | | | | | | | (16435) all_52_2 = e0
% 175.47/27.06 | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | REDUCE: (748), (16435) imply:
% 175.47/27.06 | | | | | | | | | | | | | | | | (16436) op(e1, e0) = unit
% 175.47/27.06 | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_8_1, unit, e0, e1,
% 175.47/27.06 | | | | | | | | | | | | | | | | simplifying with (11606), (16436) gives:
% 175.47/27.06 | | | | | | | | | | | | | | | | (16437) all_8_1 = unit
% 175.47/27.06 | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | COMBINE_EQS: (16294), (16437) imply:
% 175.47/27.06 | | | | | | | | | | | | | | | | (16438) all_50_1 = unit
% 175.47/27.06 | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | REDUCE: (15457), (16437) imply:
% 175.47/27.06 | | | | | | | | | | | | | | | | (16439) ~ (all_12_1 = unit)
% 175.47/27.06 | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | REDUCE: (16272), (16437) imply:
% 175.47/27.06 | | | | | | | | | | | | | | | | (16440) ~ (unit = e1)
% 175.47/27.06 | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | REDUCE: (11657), (16437) imply:
% 175.47/27.06 | | | | | | | | | | | | | | | | (16441) ~ (unit = e0)
% 175.47/27.06 | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | REDUCE: (11660), (16437) imply:
% 175.47/27.06 | | | | | | | | | | | | | | | | (16442) op(unit, e3) = all_65_65
% 175.47/27.06 | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | BETA: splitting (11697) gives:
% 175.47/27.06 | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | Case 1:
% 175.47/27.06 | | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | | (16443) unit = e2
% 175.47/27.06 | | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | | COMBINE_EQS: (16438), (16443) imply:
% 175.47/27.06 | | | | | | | | | | | | | | | | | (16444) all_50_1 = e2
% 175.47/27.06 | | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | | REDUCE: (16439), (16443) imply:
% 175.47/27.06 | | | | | | | | | | | | | | | | | (16445) ~ (all_12_1 = e2)
% 175.47/27.06 | | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | | REDUCE: (16442), (16443) imply:
% 175.47/27.06 | | | | | | | | | | | | | | | | | (16446) op(e2, e3) = all_65_65
% 175.47/27.06 | | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | | REDUCE: (6), (16443) imply:
% 175.47/27.06 | | | | | | | | | | | | | | | | | (16447) op(e3, e2) = e3
% 175.47/27.06 | | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | | BETA: splitting (265) gives:
% 175.47/27.06 | | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | | Case 1:
% 175.47/27.06 | | | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | | | (16448) all_63_6 = e3
% 175.47/27.06 | | | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15450), (16448) imply:
% 175.47/27.06 | | | | | | | | | | | | | | | | | | (16449) all_12_1 = e3
% 175.47/27.06 | | | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | | | REDUCE: (15451), (16449) imply:
% 175.47/27.06 | | | | | | | | | | | | | | | | | | (16450) ~ (all_61_1 = e3)
% 175.47/27.06 | | | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | | | REDUCE: (15509), (16449) imply:
% 175.47/27.06 | | | | | | | | | | | | | | | | | | (16451) op(e3, e0) = all_65_67
% 175.47/27.06 | | | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | | | BETA: splitting (16284) gives:
% 175.47/27.06 | | | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | | | Case 1:
% 175.47/27.06 | | | | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | (16452) ~ (all_50_1 = e2)
% 175.47/27.06 | | | | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | REDUCE: (16444), (16452) imply:
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | (16453) $false
% 175.47/27.06 | | | | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | CLOSE: (16453) is inconsistent.
% 175.47/27.06 | | | | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | | | Case 2:
% 175.47/27.06 | | | | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | (16454) ~ (all_50_0 = e3) & op(e2, e0) = all_50_0 &
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | $i(all_50_0)
% 175.47/27.06 | | | | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | ALPHA: (16454) implies:
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | (16455) op(e2, e0) = all_50_0
% 175.47/27.06 | | | | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | BETA: splitting (15410) gives:
% 175.47/27.06 | | | | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | Case 1:
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | (16456) ~ (all_12_1 = e3)
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | REDUCE: (16449), (16456) imply:
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | (16457) $false
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | CLOSE: (16457) is inconsistent.
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | Case 2:
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | (16458) ~ (all_12_0 = e0) & op(e3, e2) = all_12_0 &
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | $i(all_12_0)
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | ALPHA: (16458) implies:
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | (16459) op(e3, e2) = all_12_0
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | BETA: splitting (267) gives:
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | (16460) all_63_4 = e3
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (493), (16460) imply:
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | (16461) all_61_1 = e3
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | REDUCE: (16450), (16461) imply:
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | (16462) $false
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | CLOSE: (16462) is inconsistent.
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | (16463) all_63_4 = e2 | all_63_4 = e1 | all_63_4 = e0
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16463) gives:
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | (16464) all_63_4 = e2
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (493), (16464) imply:
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | (16465) all_61_1 = e2
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16296), (16465) imply:
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | (16466) ~ (all_61_8 = e2)
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | SIMP: (16466) implies:
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | (16467) ~ (all_61_8 = e2)
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (212), (16465) imply:
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | (16468) ~ (all_61_13 = e2)
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | SIMP: (16468) implies:
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | (16469) ~ (all_61_13 = e2)
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16139), (16465) imply:
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | (16470) ~ (all_36_1 = e2)
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | SIMP: (16470) implies:
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | (16471) ~ (all_36_1 = e2)
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16170), (16465) imply:
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | (16472) op(e2, e0) = all_65_57
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (702), (16465) imply:
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | (16473) op(e3, e2) = all_65_4
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (234), (16465) imply:
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | (16474) op(e2, e3) = e2
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (268) gives:
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | (16475) all_63_3 = e3
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (16138), (16475) imply:
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | (16476) all_36_1 = e3
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16297), (16476) imply:
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | (16477) ~ (all_61_8 = e3)
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16143), (16476) imply:
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | (16478) ~ (all_61_13 = e3)
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16148), (16476) imply:
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | (16479) op(e3, e2) = all_65_51
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16301), (16476) imply:
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | (16480) op(e3, e0) = all_61_8
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16105), (16476) imply:
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | (16481) op(e3, e0) = e3
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16156), (16476) imply:
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | (16482) op(e2, e3) = all_65_57
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (264) gives:
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | (16483) all_63_7 = e3
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (498), (16478), (16483) are inconsistent by
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #280.
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | (16484) all_63_7 = e2 | all_63_7 = e1 | all_63_7 = e0
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (263) gives:
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | (16485) all_63_8 = e3
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16295), (16477), (16485) are inconsistent by
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #118.
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | (16486) all_63_8 = e2 | all_63_8 = e1 | all_63_8 = e0
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16486) gives:
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | (16487) all_63_8 = e2
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16295), (16467), (16487) are inconsistent by
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #117.
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | (16488) all_63_8 = e1 | all_63_8 = e0
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16484) gives:
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | (16489) all_63_7 = e2
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (498), (16469), (16489) are inconsistent by
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #278.
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | (16490) all_63_7 = e1 | all_63_7 = e0
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16488) gives:
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16491) all_63_8 = e1
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (16295), (16491) imply:
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16492) all_61_8 = e1
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16492) implies:
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16493) all_61_8 = e1
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16300), (16493) imply:
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16494) op(e1, e0) = all_65_65
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16480), (16493) imply:
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16495) op(e3, e0) = e1
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16490) gives:
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16496) all_63_7 = e1
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (498), (15488), (16496) are inconsistent by
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #114.
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16497) all_63_7 = e0
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (498), (16497) imply:
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16498) all_61_13 = e0
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16498) implies:
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16499) all_61_13 = e0
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15488), (16499) imply:
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16500) ~ (e1 = e0)
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16174), (16499) imply:
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16501) op(e3, e0) = all_65_51
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (231), (16499) imply:
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16502) op(e2, e0) = e0
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15513), (16499) imply:
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16503) op(e1, e0) = all_65_67
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_67, all_65_65, e0,
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, simplifying with (16494), (16503) gives:
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16504) all_65_65 = all_65_67
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e0, all_50_0, e0, e2,
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (16455), (16502) gives:
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16505) all_50_0 = e0
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_50_0, all_65_57, e0,
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, simplifying with (16455), (16472) gives:
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16506) all_65_57 = all_50_0
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_65, all_65_57, e3,
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, simplifying with (16446), (16482) gives:
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16507) all_65_57 = all_65_65
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e2, all_65_57, e3, e2,
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (16474), (16482) gives:
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16508) all_65_57 = e2
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e3, all_65_67, e0, e3,
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (16451), (16481) gives:
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16509) all_65_67 = e3
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e1, all_65_51, e0, e3,
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (16495), (16501) gives:
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16510) all_65_51 = e1
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e3, all_12_0, e2, e3,
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (16447), (16459) gives:
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16511) all_12_0 = e3
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_51, all_65_4, e2,
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, simplifying with (16473), (16479) gives:
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16512) all_65_4 = all_65_51
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_12_0, all_65_4, e2,
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, simplifying with (16459), (16473) gives:
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16513) all_65_4 = all_12_0
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (16512), (16513) imply:
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16514) all_65_51 = all_12_0
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (16510), (16514) imply:
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16515) all_12_0 = e1
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16515) implies:
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16516) all_12_0 = e1
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (16506), (16508) imply:
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16517) all_50_0 = e2
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16517) implies:
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16518) all_50_0 = e2
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (16507), (16508) imply:
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16519) all_65_65 = e2
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16519) implies:
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16520) all_65_65 = e2
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (16504), (16520) imply:
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16521) all_65_67 = e2
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16521) implies:
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16522) all_65_67 = e2
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (16509), (16522) imply:
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16523) e3 = e2
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16523) implies:
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16524) e3 = e2
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (16505), (16518) imply:
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16525) e2 = e0
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (16511), (16516) imply:
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16526) e3 = e1
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16526) implies:
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16527) e3 = e1
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (16524), (16527) imply:
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16528) e2 = e1
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (16525), (16528) are inconsistent by
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #397.
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16529) all_63_8 = e0
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11612), (16295), (16529) are inconsistent by
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #116.
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | (16530) all_63_3 = e2 | all_63_3 = e1 | all_63_3 = e0
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16138), (16146), (16270), (16471), (16530) are
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #447.
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | (16531) all_63_4 = e1 | all_63_4 = e0
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (493), (15413), (16110), (16531) are inconsistent
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | | by sub-proof #472.
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | | End of split
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | | End of split
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | | | | End of split
% 175.47/27.06 | | | | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | | | End of split
% 175.47/27.06 | | | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | | Case 2:
% 175.47/27.06 | | | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | | | (16532) all_63_6 = e2 | all_63_6 = e1 | all_63_6 = e0
% 175.47/27.06 | | | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | | | REF_CLOSE: (497), (11613), (15417), (15450), (16445), (16532)
% 175.47/27.06 | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #125.
% 175.47/27.06 | | | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | | End of split
% 175.47/27.06 | | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | Case 2:
% 175.47/27.06 | | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | | (16533) unit = e1 | unit = e0
% 175.47/27.06 | | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | | REF_CLOSE: (16440), (16441), (16533) are inconsistent by
% 175.47/27.06 | | | | | | | | | | | | | | | | | sub-proof #419.
% 175.47/27.06 | | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | | End of split
% 175.47/27.06 | | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | | End of split
% 175.47/27.06 | | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | | End of split
% 175.47/27.06 | | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | | End of split
% 175.47/27.06 | | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | | End of split
% 175.47/27.06 | | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | End of split
% 175.47/27.06 | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | Case 2:
% 175.47/27.06 | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | (16534) all_28_2 = e3
% 175.47/27.06 | | | | | | | | | | | (16535) op(e0, e3) = all_28_1 & $i(all_28_1) & ( ~
% 175.47/27.06 | | | | | | | | | | | (all_28_1 = e2) | ( ~ (all_28_0 = e1) & op(e2,
% 175.47/27.06 | | | | | | | | | | | e0) = all_28_0 & $i(all_28_0)))
% 175.47/27.06 | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | ALPHA: (16535) implies:
% 175.47/27.06 | | | | | | | | | | | (16536) op(e0, e3) = all_28_1
% 175.47/27.06 | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | COMBINE_EQS: (563), (16534) imply:
% 175.47/27.06 | | | | | | | | | | | (16537) all_20_2 = e3
% 175.47/27.06 | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | REDUCE: (625), (16537) imply:
% 175.47/27.06 | | | | | | | | | | | (16538) ~ (all_61_12 = e3)
% 175.47/27.06 | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | REDUCE: (626), (16537) imply:
% 175.47/27.06 | | | | | | | | | | | (16539) ~ (all_61_13 = e3)
% 175.47/27.06 | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | REDUCE: (11656), (16537) imply:
% 175.47/27.06 | | | | | | | | | | | (16540) ~ (all_8_1 = e3)
% 175.47/27.06 | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | SIMP: (16540) implies:
% 175.47/27.06 | | | | | | | | | | | (16541) ~ (all_8_1 = e3)
% 175.47/27.06 | | | | | | | | | | |
% 175.47/27.06 | | | | | | | | | | | REDUCE: (694), (16537) imply:
% 175.47/27.07 | | | | | | | | | | | (16542) op(e3, e3) = all_65_73
% 175.47/27.07 | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | REDUCE: (695), (16537) imply:
% 175.47/27.07 | | | | | | | | | | | (16543) op(e3, e2) = all_65_75
% 175.47/27.07 | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | REDUCE: (696), (16537) imply:
% 175.47/27.07 | | | | | | | | | | | (16544) op(e3, e1) = all_65_77
% 175.47/27.07 | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | REDUCE: (697), (16537) imply:
% 175.47/27.07 | | | | | | | | | | | (16545) op(e3, e0) = all_65_78
% 175.47/27.07 | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | REDUCE: (11662), (16537) imply:
% 175.47/27.07 | | | | | | | | | | | (16546) op(all_8_1, e1) = e3
% 175.47/27.07 | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | REDUCE: (713), (16537) imply:
% 175.47/27.07 | | | | | | | | | | | (16547) op(e3, e3) = all_65_15
% 175.47/27.07 | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | REDUCE: (15512), (16537) imply:
% 175.47/27.07 | | | | | | | | | | | (16548) op(e2, e3) = all_65_75
% 175.47/27.07 | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | REDUCE: (11689), (16537) imply:
% 175.47/27.07 | | | | | | | | | | | (16549) op(e1, e3) = all_65_77
% 175.47/27.07 | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | REDUCE: (764), (16537) imply:
% 175.47/27.07 | | | | | | | | | | | (16550) op(e0, e3) = all_65_78
% 175.47/27.07 | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | REDUCE: (76), (16537) imply:
% 175.47/27.07 | | | | | | | | | | | (16551) op(e0, e0) = e3
% 175.47/27.07 | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_3, all_65_78, e3,
% 175.47/27.07 | | | | | | | | | | | e0, simplifying with (226), (16550) gives:
% 175.47/27.07 | | | | | | | | | | | (16552) all_65_78 = all_61_3
% 175.47/27.07 | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | GROUND_INST: instantiating (50) with all_28_1, all_65_78, e3,
% 175.47/27.07 | | | | | | | | | | | e0, simplifying with (16536), (16550) gives:
% 175.47/27.07 | | | | | | | | | | | (16553) all_65_78 = all_28_1
% 175.47/27.07 | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_2, all_65_77, e3,
% 175.47/27.07 | | | | | | | | | | | e1, simplifying with (230), (16549) gives:
% 175.47/27.07 | | | | | | | | | | | (16554) all_65_77 = all_61_2
% 175.47/27.07 | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_1, all_65_75, e3,
% 175.47/27.07 | | | | | | | | | | | e2, simplifying with (234), (16548) gives:
% 175.47/27.07 | | | | | | | | | | | (16555) all_65_75 = all_61_1
% 175.47/27.07 | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_12, all_65_78, e0,
% 175.47/27.07 | | | | | | | | | | | e3, simplifying with (235), (16545) gives:
% 175.47/27.07 | | | | | | | | | | | (16556) all_65_78 = all_61_12
% 175.47/27.07 | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_8, all_65_77, e1,
% 175.47/27.07 | | | | | | | | | | | e3, simplifying with (236), (16544) gives:
% 175.47/27.07 | | | | | | | | | | | (16557) all_65_77 = all_61_8
% 175.47/27.07 | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_4, all_65_75, e2,
% 175.47/27.07 | | | | | | | | | | | e3, simplifying with (237), (16543) gives:
% 175.47/27.07 | | | | | | | | | | | (16558) all_65_75 = all_61_4
% 175.47/27.07 | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | GROUND_INST: instantiating (50) with all_14_2, all_65_15, e3,
% 175.47/27.07 | | | | | | | | | | | e3, simplifying with (67), (16547) gives:
% 175.47/27.07 | | | | | | | | | | | (16559) all_65_15 = all_14_2
% 175.47/27.07 | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_73, all_65_15, e3,
% 175.47/27.07 | | | | | | | | | | | e3, simplifying with (16542), (16547) gives:
% 175.47/27.07 | | | | | | | | | | | (16560) all_65_15 = all_65_73
% 175.47/27.07 | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | COMBINE_EQS: (16559), (16560) imply:
% 175.47/27.07 | | | | | | | | | | | (16561) all_65_73 = all_14_2
% 175.47/27.07 | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | COMBINE_EQS: (16555), (16558) imply:
% 175.47/27.07 | | | | | | | | | | | (16562) all_61_1 = all_61_4
% 175.47/27.07 | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | COMBINE_EQS: (16554), (16557) imply:
% 175.47/27.07 | | | | | | | | | | | (16563) all_61_2 = all_61_8
% 175.47/27.07 | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | SIMP: (16563) implies:
% 175.47/27.07 | | | | | | | | | | | (16564) all_61_2 = all_61_8
% 175.47/27.07 | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | COMBINE_EQS: (16553), (16556) imply:
% 175.47/27.07 | | | | | | | | | | | (16565) all_61_12 = all_28_1
% 175.47/27.07 | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | SIMP: (16565) implies:
% 175.47/27.07 | | | | | | | | | | | (16566) all_61_12 = all_28_1
% 175.47/27.07 | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | COMBINE_EQS: (16552), (16553) imply:
% 175.47/27.07 | | | | | | | | | | | (16567) all_61_3 = all_28_1
% 175.47/27.07 | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | SIMP: (16567) implies:
% 175.47/27.07 | | | | | | | | | | | (16568) all_61_3 = all_28_1
% 175.47/27.07 | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | COMBINE_EQS: (499), (16564) imply:
% 175.47/27.07 | | | | | | | | | | | (16569) all_63_8 = all_61_8
% 175.47/27.07 | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | COMBINE_EQS: (493), (16562) imply:
% 175.47/27.07 | | | | | | | | | | | (16570) all_63_4 = all_61_4
% 175.47/27.07 | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | COMBINE_EQS: (491), (16566) imply:
% 175.47/27.07 | | | | | | | | | | | (16571) all_63_3 = all_28_1
% 175.47/27.07 | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | REDUCE: (200), (16566) imply:
% 175.47/27.07 | | | | | | | | | | | (16572) ~ (all_61_4 = all_28_1)
% 175.47/27.07 | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | REDUCE: (187), (16566) imply:
% 175.47/27.07 | | | | | | | | | | | (16573) ~ (all_61_8 = all_28_1)
% 175.47/27.07 | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | REDUCE: (603), (16566) imply:
% 175.47/27.07 | | | | | | | | | | | (16574) ~ (all_28_1 = all_14_2)
% 175.47/27.07 | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | REDUCE: (16538), (16566) imply:
% 175.47/27.07 | | | | | | | | | | | (16575) ~ (all_28_1 = e3)
% 175.47/27.07 | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | REDUCE: (650), (16562) imply:
% 175.47/27.07 | | | | | | | | | | | (16576) op(all_61_4, e3) = all_65_16
% 175.47/27.07 | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | REDUCE: (651), (16562) imply:
% 175.47/27.07 | | | | | | | | | | | (16577) op(all_61_4, e2) = all_65_17
% 175.47/27.07 | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | REDUCE: (682), (16568) imply:
% 175.47/27.07 | | | | | | | | | | | (16578) op(all_28_1, e3) = all_65_49
% 175.47/27.07 | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | REDUCE: (646), (16566) imply:
% 175.47/27.07 | | | | | | | | | | | (16579) op(all_28_1, e3) = all_65_12
% 175.47/27.07 | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | REDUCE: (15508), (16558) imply:
% 175.47/27.07 | | | | | | | | | | | (16580) op(all_61_13, e0) = all_61_4
% 175.47/27.07 | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | REDUCE: (702), (16562) imply:
% 175.47/27.07 | | | | | | | | | | | (16581) op(e3, all_61_4) = all_65_4
% 175.47/27.07 | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | REDUCE: (710), (16568) imply:
% 175.47/27.07 | | | | | | | | | | | (16582) op(e3, all_28_1) = all_65_12
% 175.47/27.07 | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | REDUCE: (235), (16566) imply:
% 175.47/27.07 | | | | | | | | | | | (16583) op(e3, e0) = all_28_1
% 175.47/27.07 | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_1, all_65_4,
% 175.47/27.07 | | | | | | | | | | | all_61_4, e3, simplifying with (699), (16581)
% 175.47/27.07 | | | | | | | | | | | gives:
% 175.47/27.07 | | | | | | | | | | | (16584) all_65_1 = all_65_4
% 175.47/27.07 | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_49, all_65_12, e3,
% 175.47/27.07 | | | | | | | | | | | all_28_1, simplifying with (16578), (16579) gives:
% 175.47/27.07 | | | | | | | | | | | (16585) all_65_12 = all_65_49
% 175.47/27.07 | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_8, all_65_17, e2,
% 175.47/27.07 | | | | | | | | | | | all_61_4, simplifying with (15460), (16577) gives:
% 175.47/27.07 | | | | | | | | | | | (16586) all_65_17 = all_61_8
% 175.47/27.07 | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_4, all_65_16, e3,
% 175.47/27.07 | | | | | | | | | | | all_61_4, simplifying with (638), (16576) gives:
% 175.47/27.07 | | | | | | | | | | | (16587) all_65_4 = all_65_16
% 175.47/27.07 | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | COMBINE_EQS: (16584), (16587) imply:
% 175.47/27.07 | | | | | | | | | | | (16588) all_65_1 = all_65_16
% 175.47/27.07 | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | REDUCE: (635), (16588) imply:
% 175.47/27.07 | | | | | | | | | | | (16589) op(all_14_2, e2) = all_65_16
% 175.47/27.07 | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | REDUCE: (16582), (16585) imply:
% 175.47/27.07 | | | | | | | | | | | (16590) op(e3, all_28_1) = all_65_49
% 175.47/27.07 | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | BETA: splitting (101) gives:
% 175.47/27.07 | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | Case 1:
% 175.47/27.07 | | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | | (16591) ~ (all_36_2 = e0)
% 175.47/27.07 | | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | | REDUCE: (557), (16591) imply:
% 175.47/27.07 | | | | | | | | | | | | (16592) ~ (all_14_2 = e0)
% 175.47/27.07 | | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | | BETA: splitting (107) gives:
% 175.47/27.07 | | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | | Case 1:
% 175.47/27.07 | | | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | | | (16593) ~ (all_40_2 = e1)
% 175.47/27.07 | | | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | | | REDUCE: (553), (16593) imply:
% 175.47/27.07 | | | | | | | | | | | | | (16594) ~ (all_14_2 = e1)
% 175.47/27.07 | | | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | | | BETA: splitting (271) gives:
% 175.47/27.07 | | | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | | | Case 1:
% 175.47/27.07 | | | | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | | | | (16595) all_63_0 = e3
% 175.47/27.07 | | | | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | | | | COMBINE_EQS: (588), (16595) imply:
% 175.47/27.07 | | | | | | | | | | | | | | (16596) all_14_2 = e3
% 175.47/27.07 | | | | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | | | | REDUCE: (599), (16596) imply:
% 175.47/27.07 | | | | | | | | | | | | | | (16597) ~ (all_61_4 = e3)
% 175.47/27.07 | | | | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | | | | REDUCE: (601), (16596) imply:
% 175.47/27.07 | | | | | | | | | | | | | | (16598) ~ (all_61_8 = e3)
% 175.47/27.07 | | | | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | | | | REDUCE: (16589), (16596) imply:
% 175.47/27.07 | | | | | | | | | | | | | | (16599) op(e3, e2) = all_65_16
% 175.47/27.07 | | | | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_4, all_65_16, e2,
% 175.47/27.07 | | | | | | | | | | | | | | e3, simplifying with (237), (16599) gives:
% 175.47/27.07 | | | | | | | | | | | | | | (16600) all_65_16 = all_61_4
% 175.47/27.07 | | | | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | | | | REDUCE: (16576), (16600) imply:
% 175.47/27.07 | | | | | | | | | | | | | | (16601) op(all_61_4, e3) = all_61_4
% 175.47/27.07 | | | | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | | | | BETA: splitting (161) gives:
% 175.47/27.07 | | | | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | | | | Case 1:
% 175.47/27.07 | | | | | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | | | | | (16602) ~ (all_58_2 = e2)
% 175.47/27.07 | | | | | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | | | | | REDUCE: (478), (16602) imply:
% 175.47/27.07 | | | | | | | | | | | | | | | (16603) ~ (all_52_2 = e2)
% 175.47/27.07 | | | | | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | | | | | BETA: splitting (164) gives:
% 175.47/27.07 | | | | | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | | | | | Case 1:
% 175.47/27.07 | | | | | | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | | | | | | (16604) ~ (all_58_1 = e1)
% 175.47/27.07 | | | | | | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | | | | | | REDUCE: (481), (16604) imply:
% 175.47/27.07 | | | | | | | | | | | | | | | | (16605) ~ (all_52_1 = e1)
% 175.47/27.07 | | | | | | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | | | | | | BETA: splitting (165) gives:
% 175.47/27.07 | | | | | | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | | | | | | Case 1:
% 175.47/27.07 | | | | | | | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | | | | | | | (16606) ~ (all_58_1 = e3)
% 175.47/27.07 | | | | | | | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | | | | | | | REDUCE: (481), (16606) imply:
% 175.47/27.07 | | | | | | | | | | | | | | | | | (16607) ~ (all_52_1 = e3)
% 175.47/27.07 | | | | | | | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (9), (18), (50), (150), (163), (231),
% 175.47/27.07 | | | | | | | | | | | | | | | | | (481), (536), (731), (11606), (11622), (11654),
% 175.47/27.07 | | | | | | | | | | | | | | | | | (11697), (15425), (15488), (15491), (15492),
% 175.47/27.07 | | | | | | | | | | | | | | | | | (15511), (15513), (16605), (16607) are
% 175.47/27.07 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #127.
% 175.47/27.07 | | | | | | | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | | | | | | Case 2:
% 175.47/27.07 | | | | | | | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | | | | | | | (16608) all_58_0 = e2
% 175.47/27.07 | | | | | | | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | | | | | | | COMBINE_EQS: (484), (16608) imply:
% 175.47/27.07 | | | | | | | | | | | | | | | | | (16609) all_52_0 = e2
% 175.47/27.07 | | | | | | | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | | | | | | | SIMP: (16609) implies:
% 175.47/27.07 | | | | | | | | | | | | | | | | | (16610) all_52_0 = e2
% 175.47/27.07 | | | | | | | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | | | | | | | REDUCE: (714), (16610) imply:
% 175.47/27.07 | | | | | | | | | | | | | | | | | (16611) op(e3, e2) = unit
% 175.47/27.07 | | | | | | | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_4, unit, e2, e3,
% 175.47/27.07 | | | | | | | | | | | | | | | | | simplifying with (237), (16611) gives:
% 175.47/27.07 | | | | | | | | | | | | | | | | | (16612) all_61_4 = unit
% 175.47/27.07 | | | | | | | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | | | | | | | REDUCE: (16601), (16612) imply:
% 175.47/27.07 | | | | | | | | | | | | | | | | | (16613) op(unit, e3) = unit
% 175.47/27.07 | | | | | | | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e3, unit, e3, unit,
% 175.47/27.07 | | | | | | | | | | | | | | | | | simplifying with (10), (16613) gives:
% 175.47/27.07 | | | | | | | | | | | | | | | | | (16614) unit = e3
% 175.47/27.07 | | | | | | | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | | | | | | | REDUCE: (11696), (16614) imply:
% 175.47/27.07 | | | | | | | | | | | | | | | | | (16615) $false
% 175.47/27.07 | | | | | | | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | | | | | | | CLOSE: (16615) is inconsistent.
% 175.47/27.07 | | | | | | | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | | | | | | End of split
% 175.47/27.07 | | | | | | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | | | | | Case 2:
% 175.47/27.07 | | | | | | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | | | | | | (16616) all_58_2 = e2
% 175.47/27.07 | | | | | | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | | | | | | COMBINE_EQS: (478), (16616) imply:
% 175.47/27.07 | | | | | | | | | | | | | | | | (16617) all_52_2 = e2
% 175.47/27.07 | | | | | | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | | | | | | REDUCE: (16603), (16617) imply:
% 175.47/27.07 | | | | | | | | | | | | | | | | (16618) $false
% 175.47/27.07 | | | | | | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | | | | | | CLOSE: (16618) is inconsistent.
% 175.47/27.07 | | | | | | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | | | | | End of split
% 175.47/27.07 | | | | | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | | | | Case 2:
% 175.47/27.07 | | | | | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | | | | | (16619) all_58_1 = e1
% 175.47/27.07 | | | | | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | | | | | COMBINE_EQS: (481), (16619) imply:
% 175.47/27.07 | | | | | | | | | | | | | | | (16620) all_52_1 = e1
% 175.47/27.07 | | | | | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | | | | | SIMP: (16620) implies:
% 175.47/27.07 | | | | | | | | | | | | | | | (16621) all_52_1 = e1
% 175.47/27.07 | | | | | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | | | | | REDUCE: (731), (16621) imply:
% 175.47/27.07 | | | | | | | | | | | | | | | (16622) op(e2, e1) = unit
% 175.47/27.07 | | | | | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_12_1, unit, e1, e2,
% 175.47/27.07 | | | | | | | | | | | | | | | simplifying with (15409), (16622) gives:
% 175.47/27.07 | | | | | | | | | | | | | | | (16623) all_12_1 = unit
% 175.47/27.07 | | | | | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | | | | | COMBINE_EQS: (15450), (16623) imply:
% 175.47/27.07 | | | | | | | | | | | | | | | (16624) all_63_6 = unit
% 175.47/27.07 | | | | | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | | | | | REDUCE: (15456), (16623) imply:
% 175.47/27.07 | | | | | | | | | | | | | | | (16625) ~ (all_61_8 = unit)
% 175.47/27.07 | | | | | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | | | | | REDUCE: (15457), (16623) imply:
% 175.47/27.07 | | | | | | | | | | | | | | | (16626) ~ (all_8_1 = unit)
% 175.47/27.07 | | | | | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | | | | | SIMP: (16626) implies:
% 175.47/27.07 | | | | | | | | | | | | | | | (16627) ~ (all_8_1 = unit)
% 175.47/27.07 | | | | | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | | | | | BETA: splitting (265) gives:
% 175.47/27.07 | | | | | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | | | | | Case 1:
% 175.47/27.07 | | | | | | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | | | | | | (16628) all_63_6 = e3
% 175.47/27.07 | | | | | | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | | | | | | COMBINE_EQS: (16624), (16628) imply:
% 175.47/27.07 | | | | | | | | | | | | | | | | (16629) unit = e3
% 175.47/27.07 | | | | | | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | | | | | | REDUCE: (11696), (16629) imply:
% 175.47/27.07 | | | | | | | | | | | | | | | | (16630) $false
% 175.47/27.07 | | | | | | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | | | | | | CLOSE: (16630) is inconsistent.
% 175.47/27.07 | | | | | | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | | | | | Case 2:
% 175.47/27.07 | | | | | | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | | | | | | (16631) all_63_6 = e2 | all_63_6 = e1 | all_63_6 = e0
% 175.47/27.07 | | | | | | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | | | | | | BETA: splitting (16631) gives:
% 175.47/27.07 | | | | | | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | | | | | | Case 1:
% 175.47/27.07 | | | | | | | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | | | | | | | (16632) all_63_6 = e2
% 175.47/27.07 | | | | | | | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | | | | | | | COMBINE_EQS: (16624), (16632) imply:
% 175.47/27.07 | | | | | | | | | | | | | | | | | (16633) unit = e2
% 175.47/27.07 | | | | | | | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | | | | | | | REDUCE: (16625), (16633) imply:
% 175.47/27.07 | | | | | | | | | | | | | | | | | (16634) ~ (all_61_8 = e2)
% 175.47/27.07 | | | | | | | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | | | | | | | REDUCE: (16627), (16633) imply:
% 175.47/27.07 | | | | | | | | | | | | | | | | | (16635) ~ (all_8_1 = e2)
% 175.47/27.07 | | | | | | | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | | | | | | | REF_CLOSE: (257), (263), (11612), (11645), (11651), (11657),
% 175.47/27.07 | | | | | | | | | | | | | | | | | (16541), (16569), (16598), (16634), (16635) are
% 175.47/27.07 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #113.
% 175.47/27.07 | | | | | | | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | | | | | | Case 2:
% 175.47/27.07 | | | | | | | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | | | | | | | (16636) all_63_6 = e1 | all_63_6 = e0
% 175.47/27.07 | | | | | | | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | | | | | | | REF_CLOSE: (497), (11613), (15417), (16636) are inconsistent
% 175.47/27.07 | | | | | | | | | | | | | | | | | by sub-proof #408.
% 175.47/27.07 | | | | | | | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | | | | | | End of split
% 175.47/27.07 | | | | | | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | | | | | End of split
% 175.47/27.07 | | | | | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | | | | End of split
% 175.47/27.07 | | | | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | | | Case 2:
% 175.47/27.07 | | | | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | | | | (16637) all_63_0 = e2 | all_63_0 = e1 | all_63_0 = e0
% 175.47/27.07 | | | | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | | | | REF_CLOSE: (588), (15514), (16592), (16594), (16637) are
% 175.47/27.07 | | | | | | | | | | | | | | inconsistent by sub-proof #503.
% 175.47/27.07 | | | | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | | | End of split
% 175.47/27.07 | | | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | | Case 2:
% 175.47/27.07 | | | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | | | (16638) all_40_2 = e1
% 175.47/27.07 | | | | | | | | | | | | | (16639) op(e3, e1) = all_40_1 & $i(all_40_1) & ( ~
% 175.47/27.07 | | | | | | | | | | | | | (all_40_1 = e0) | ( ~ (all_40_0 = e2) & op(e0,
% 175.47/27.07 | | | | | | | | | | | | | e3) = all_40_0 & $i(all_40_0)))
% 175.47/27.07 | | | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | | | ALPHA: (16639) implies:
% 175.47/27.07 | | | | | | | | | | | | | (16640) op(e3, e1) = all_40_1
% 175.47/27.07 | | | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | | | COMBINE_EQS: (553), (16638) imply:
% 175.47/27.07 | | | | | | | | | | | | | (16641) all_14_2 = e1
% 175.47/27.07 | | | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | | | SIMP: (16641) implies:
% 175.47/27.07 | | | | | | | | | | | | | (16642) all_14_2 = e1
% 175.47/27.07 | | | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | | | COMBINE_EQS: (466), (16642) imply:
% 175.47/27.07 | | | | | | | | | | | | | (16643) all_48_2 = e1
% 175.47/27.07 | | | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | | | REDUCE: (601), (16642) imply:
% 175.47/27.07 | | | | | | | | | | | | | (16644) ~ (all_61_8 = e1)
% 175.47/27.07 | | | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | | | REDUCE: (16574), (16642) imply:
% 175.47/27.07 | | | | | | | | | | | | | (16645) ~ (all_28_1 = e1)
% 175.47/27.07 | | | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | | | REDUCE: (698), (16642) imply:
% 175.47/27.07 | | | | | | | | | | | | | (16646) op(e3, e1) = all_65_0
% 175.47/27.07 | | | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | | | REDUCE: (67), (16642) imply:
% 175.47/27.07 | | | | | | | | | | | | | (16647) op(e3, e3) = e1
% 175.47/27.07 | | | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | | | REDUCE: (715), (16642) imply:
% 175.47/27.07 | | | | | | | | | | | | | (16648) op(e2, e1) = all_65_16
% 175.47/27.07 | | | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | | | REDUCE: (732), (16642) imply:
% 175.47/27.07 | | | | | | | | | | | | | (16649) op(e1, e1) = all_65_32
% 175.47/27.07 | | | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | | | BETA: splitting (119) gives:
% 175.47/27.07 | | | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | | | Case 1:
% 175.47/27.07 | | | | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | | | | (16650) ~ (all_48_2 = e1)
% 175.47/27.07 | | | | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | | | | REDUCE: (16643), (16650) imply:
% 175.47/27.07 | | | | | | | | | | | | | | (16651) $false
% 175.47/27.07 | | | | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | | | | CLOSE: (16651) is inconsistent.
% 175.47/27.07 | | | | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | | | Case 2:
% 175.47/27.07 | | | | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | | | | (16652) op(e3, e1) = all_48_1 & $i(all_48_1) & ( ~
% 175.47/27.07 | | | | | | | | | | | | | | (all_48_1 = e2) | ( ~ (all_48_0 = e0) & op(e2,
% 175.47/27.07 | | | | | | | | | | | | | | e3) = all_48_0 & $i(all_48_0)))
% 175.47/27.07 | | | | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | | | | ALPHA: (16652) implies:
% 175.47/27.07 | | | | | | | | | | | | | | (16653) op(e3, e1) = all_48_1
% 175.47/27.07 | | | | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e0, all_65_32, e1, e1,
% 175.47/27.07 | | | | | | | | | | | | | | simplifying with (11622), (16649) gives:
% 175.47/27.07 | | | | | | | | | | | | | | (16654) all_65_32 = e0
% 175.47/27.07 | | | | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_12_1, all_65_16, e1,
% 175.47/27.07 | | | | | | | | | | | | | | e2, simplifying with (15409), (16648) gives:
% 175.47/27.07 | | | | | | | | | | | | | | (16655) all_65_16 = all_12_1
% 175.47/27.07 | | | | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_8, all_48_1, e1,
% 175.47/27.07 | | | | | | | | | | | | | | e3, simplifying with (236), (16653) gives:
% 175.47/27.07 | | | | | | | | | | | | | | (16656) all_61_8 = all_48_1
% 175.47/27.07 | | | | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_8, all_65_0, e1,
% 175.47/27.07 | | | | | | | | | | | | | | e3, simplifying with (236), (16646) gives:
% 175.47/27.07 | | | | | | | | | | | | | | (16657) all_65_0 = all_61_8
% 175.47/27.07 | | | | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_40_1, all_65_0, e1,
% 175.47/27.07 | | | | | | | | | | | | | | e3, simplifying with (16640), (16646) gives:
% 175.47/27.07 | | | | | | | | | | | | | | (16658) all_65_0 = all_40_1
% 175.47/27.07 | | | | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | | | | COMBINE_EQS: (16657), (16658) imply:
% 175.47/27.07 | | | | | | | | | | | | | | (16659) all_61_8 = all_40_1
% 175.47/27.07 | | | | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | | | | SIMP: (16659) implies:
% 175.47/27.07 | | | | | | | | | | | | | | (16660) all_61_8 = all_40_1
% 175.47/27.07 | | | | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | | | | COMBINE_EQS: (16656), (16660) imply:
% 175.47/27.07 | | | | | | | | | | | | | | (16661) all_48_1 = all_40_1
% 175.47/27.07 | | | | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | | | | SIMP: (16661) implies:
% 175.47/27.07 | | | | | | | | | | | | | | (16662) all_48_1 = all_40_1
% 175.47/27.07 | | | | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | | | | COMBINE_EQS: (16569), (16660) imply:
% 175.47/27.07 | | | | | | | | | | | | | | (16663) all_63_8 = all_40_1
% 175.47/27.07 | | | | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | | | | COMBINE_EQS: (489), (16660) imply:
% 175.47/27.07 | | | | | | | | | | | | | | (16664) all_63_2 = all_40_1
% 175.47/27.07 | | | | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | | | | REDUCE: (201), (16660) imply:
% 175.47/27.07 | | | | | | | | | | | | | | (16665) ~ (all_61_4 = all_40_1)
% 175.47/27.07 | | | | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | | | | REDUCE: (16573), (16660) imply:
% 175.47/27.07 | | | | | | | | | | | | | | (16666) ~ (all_40_1 = all_28_1)
% 175.47/27.07 | | | | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | | | | REDUCE: (15456), (16660) imply:
% 175.47/27.07 | | | | | | | | | | | | | | (16667) ~ (all_40_1 = all_12_1)
% 175.47/27.07 | | | | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | | | | REDUCE: (16644), (16660) imply:
% 175.47/27.07 | | | | | | | | | | | | | | (16668) ~ (all_40_1 = e1)
% 175.47/27.07 | | | | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | | | | REDUCE: (11612), (16660) imply:
% 175.47/27.07 | | | | | | | | | | | | | | (16669) ~ (all_40_1 = e0)
% 175.47/27.07 | | | | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | | | | REDUCE: (15460), (16660) imply:
% 175.47/27.07 | | | | | | | | | | | | | | (16670) op(all_61_4, e2) = all_40_1
% 175.47/27.07 | | | | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | | | | BETA: splitting (161) gives:
% 175.47/27.07 | | | | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | | | | Case 1:
% 175.47/27.07 | | | | | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | | | | | (16671) ~ (all_58_2 = e2)
% 175.47/27.07 | | | | | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | | | | | REDUCE: (478), (16671) imply:
% 175.47/27.07 | | | | | | | | | | | | | | | (16672) ~ (all_52_2 = e2)
% 175.47/27.07 | | | | | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | | | | | BETA: splitting (162) gives:
% 175.47/27.07 | | | | | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | | | | | Case 1:
% 175.47/27.07 | | | | | | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | | | | | | (16673) ~ (all_58_2 = e3)
% 175.47/27.07 | | | | | | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | | | | | | REDUCE: (478), (16673) imply:
% 175.47/27.07 | | | | | | | | | | | | | | | | (16674) ~ (all_52_2 = e3)
% 175.47/27.07 | | | | | | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | | | | | | BETA: splitting (165) gives:
% 175.47/27.07 | | | | | | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | | | | | | Case 1:
% 175.47/27.07 | | | | | | | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | | | | | | | (16675) ~ (all_58_1 = e3)
% 175.47/27.07 | | | | | | | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | | | | | | | REDUCE: (481), (16675) imply:
% 175.47/27.07 | | | | | | | | | | | | | | | | | (16676) ~ (all_52_1 = e3)
% 175.47/27.07 | | | | | | | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | | | | | | | BETA: splitting (168) gives:
% 175.47/27.07 | | | | | | | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | | | | | | | Case 1:
% 175.47/27.07 | | | | | | | | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | | | | | | | | (16677) ~ (all_58_0 = e2)
% 175.47/27.07 | | | | | | | | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | | | | | | | | REDUCE: (484), (16677) imply:
% 175.47/27.07 | | | | | | | | | | | | | | | | | | (16678) ~ (all_52_0 = e2)
% 175.47/27.07 | | | | | | | | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | | | | | | | | BETA: splitting (159) gives:
% 175.47/27.07 | | | | | | | | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | | | | | | | | Case 1:
% 175.47/27.07 | | | | | | | | | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | | | | | | | | | (16679) ~ (all_58_3 = e3)
% 175.47/27.07 | | | | | | | | | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | | | | | | | | | REDUCE: (475), (16679) imply:
% 175.47/27.07 | | | | | | | | | | | | | | | | | | | (16680) ~ (all_52_3 = e3)
% 175.47/27.07 | | | | | | | | | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | | | | | | | | | BETA: splitting (166) gives:
% 175.47/27.07 | | | | | | | | | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | | | | | | | | | Case 1:
% 175.47/27.07 | | | | | | | | | | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | | | | | | | | | | (16681) ~ (all_58_0 = e0)
% 175.47/27.07 | | | | | | | | | | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | | | | | | | | | | REDUCE: (484), (16681) imply:
% 175.47/27.07 | | | | | | | | | | | | | | | | | | | | (16682) ~ (all_52_0 = e0)
% 175.47/27.07 | | | | | | | | | | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (18), (50), (151), (167), (478), (484),
% 175.47/27.07 | | | | | | | | | | | | | | | | | | | | (534), (714), (11622), (16647), (16674), (16678),
% 175.47/27.07 | | | | | | | | | | | | | | | | | | | | (16682) are inconsistent by sub-proof #123.
% 175.47/27.07 | | | | | | | | | | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | | | | | | | | | Case 2:
% 175.47/27.07 | | | | | | | | | | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | | | | | | | | | | (16683) all_58_3 = e3
% 175.47/27.07 | | | | | | | | | | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (475), (16680), (16683) are inconsistent by
% 175.47/27.07 | | | | | | | | | | | | | | | | | | | | sub-proof #509.
% 175.47/27.07 | | | | | | | | | | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | | | | | | | | | End of split
% 175.47/27.07 | | | | | | | | | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | | | | | | | | Case 2:
% 175.47/27.07 | | | | | | | | | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | | | | | | | | | (16684) all_58_3 = e3
% 175.47/27.07 | | | | | | | | | | | | | | | | | | | (16685) all_58_0 = e0
% 175.47/27.07 | | | | | | | | | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (484), (16685) imply:
% 175.47/27.07 | | | | | | | | | | | | | | | | | | | (16686) all_52_0 = e0
% 175.47/27.07 | | | | | | | | | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | | | | | | | | | SIMP: (16686) implies:
% 175.47/27.07 | | | | | | | | | | | | | | | | | | | (16687) all_52_0 = e0
% 175.47/27.07 | | | | | | | | | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (475), (16684) imply:
% 175.47/27.07 | | | | | | | | | | | | | | | | | | | (16688) all_52_3 = e3
% 175.47/27.07 | | | | | | | | | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | | | | | | | | | REDUCE: (629), (16687) imply:
% 175.47/27.07 | | | | | | | | | | | | | | | | | | | (16689) ~ (all_52_2 = e0)
% 175.47/27.07 | | | | | | | | | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | | | | | | | | | SIMP: (16689) implies:
% 175.47/27.07 | | | | | | | | | | | | | | | | | | | (16690) ~ (all_52_2 = e0)
% 175.47/27.07 | | | | | | | | | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (50), (149), (235), (538), (748), (11622),
% 175.47/27.07 | | | | | | | | | | | | | | | | | | | (16538), (16672), (16674), (16690) are
% 175.47/27.07 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #169.
% 175.47/27.07 | | | | | | | | | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | | | | | | | | End of split
% 175.47/27.07 | | | | | | | | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | | | | | | | Case 2:
% 175.47/27.07 | | | | | | | | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | | | | | | | | (16691) all_58_1 = e3
% 175.47/27.07 | | | | | | | | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | | | | | | | | REF_CLOSE: (481), (16676), (16691) are inconsistent by
% 175.47/27.07 | | | | | | | | | | | | | | | | | | sub-proof #511.
% 175.47/27.07 | | | | | | | | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | | | | | | | End of split
% 175.47/27.07 | | | | | | | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | | | | | | Case 2:
% 175.47/27.07 | | | | | | | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | | | | | | | (16692) all_58_0 = e2
% 175.47/27.07 | | | | | | | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | | | | | | | COMBINE_EQS: (484), (16692) imply:
% 175.47/27.07 | | | | | | | | | | | | | | | | | (16693) all_52_0 = e2
% 175.47/27.07 | | | | | | | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | | | | | | | SIMP: (16693) implies:
% 175.47/27.07 | | | | | | | | | | | | | | | | | (16694) all_52_0 = e2
% 175.47/27.07 | | | | | | | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | | | | | | | REDUCE: (714), (16694) imply:
% 175.47/27.07 | | | | | | | | | | | | | | | | | (16695) op(e3, e2) = unit
% 175.47/27.07 | | | | | | | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_4, unit, e2, e3,
% 175.47/27.07 | | | | | | | | | | | | | | | | | simplifying with (237), (16695) gives:
% 175.47/27.07 | | | | | | | | | | | | | | | | | (16696) all_61_4 = unit
% 175.47/27.07 | | | | | | | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | | | | | | | REDUCE: (16665), (16696) imply:
% 175.47/27.07 | | | | | | | | | | | | | | | | | (16697) ~ (all_40_1 = unit)
% 175.47/27.07 | | | | | | | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | | | | | | | SIMP: (16697) implies:
% 175.47/27.07 | | | | | | | | | | | | | | | | | (16698) ~ (all_40_1 = unit)
% 175.47/27.07 | | | | | | | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | | | | | | | REDUCE: (16572), (16696) imply:
% 175.47/27.07 | | | | | | | | | | | | | | | | | (16699) ~ (all_28_1 = unit)
% 175.47/27.07 | | | | | | | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | | | | | | | SIMP: (16699) implies:
% 175.47/27.07 | | | | | | | | | | | | | | | | | (16700) ~ (all_28_1 = unit)
% 175.47/27.07 | | | | | | | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | | | | | | | REDUCE: (15414), (16696) imply:
% 175.47/27.07 | | | | | | | | | | | | | | | | | (16701) ~ (unit = e1)
% 175.47/27.07 | | | | | | | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | | | | | | | REDUCE: (16670), (16696) imply:
% 175.47/27.07 | | | | | | | | | | | | | | | | | (16702) op(unit, e2) = all_40_1
% 175.47/27.07 | | | | | | | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e2, all_40_1, e2, unit,
% 175.47/27.07 | | | | | | | | | | | | | | | | | simplifying with (9), (16702) gives:
% 175.47/27.07 | | | | | | | | | | | | | | | | | (16703) all_40_1 = e2
% 175.47/27.07 | | | | | | | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | | | | | | | REF_CLOSE: (268), (11697), (16571), (16575), (16645),
% 175.47/27.07 | | | | | | | | | | | | | | | | | (16666), (16698), (16700), (16701), (16703) are
% 175.47/27.07 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #314.
% 175.47/27.07 | | | | | | | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | | | | | | End of split
% 175.47/27.07 | | | | | | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | | | | | Case 2:
% 175.47/27.07 | | | | | | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | | | | | | (16704) all_58_2 = e3
% 175.47/27.07 | | | | | | | | | | | | | | | | (16705) all_58_0 = e1
% 175.47/27.07 | | | | | | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | | | | | | COMBINE_EQS: (484), (16705) imply:
% 175.47/27.07 | | | | | | | | | | | | | | | | (16706) all_52_0 = e1
% 175.47/27.07 | | | | | | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | | | | | | SIMP: (16706) implies:
% 175.47/27.07 | | | | | | | | | | | | | | | | (16707) all_52_0 = e1
% 175.47/27.07 | | | | | | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | | | | | | COMBINE_EQS: (478), (16704) imply:
% 175.47/27.07 | | | | | | | | | | | | | | | | (16708) all_52_2 = e3
% 175.47/27.07 | | | | | | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | | | | | | REDUCE: (630), (16707) imply:
% 175.47/27.07 | | | | | | | | | | | | | | | | (16709) ~ (all_52_3 = e1)
% 175.47/27.07 | | | | | | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | | | | | | SIMP: (16709) implies:
% 175.47/27.07 | | | | | | | | | | | | | | | | (16710) ~ (all_52_3 = e1)
% 175.47/27.07 | | | | | | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | | | | | | REDUCE: (633), (16708) imply:
% 175.47/27.07 | | | | | | | | | | | | | | | | (16711) ~ (all_52_3 = e3)
% 175.47/27.07 | | | | | | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | | | | | | SIMP: (16711) implies:
% 175.47/27.07 | | | | | | | | | | | | | | | | (16712) ~ (all_52_3 = e3)
% 175.47/27.07 | | | | | | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | | | | | | REDUCE: (714), (16707) imply:
% 175.47/27.07 | | | | | | | | | | | | | | | | (16713) op(e3, e1) = unit
% 175.47/27.07 | | | | | | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_40_1, unit, e1, e3,
% 175.47/27.07 | | | | | | | | | | | | | | | | simplifying with (16640), (16713) gives:
% 175.47/27.07 | | | | | | | | | | | | | | | | (16714) all_40_1 = unit
% 175.47/27.07 | | | | | | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | | | | | | REDUCE: (16666), (16714) imply:
% 175.47/27.07 | | | | | | | | | | | | | | | | (16715) ~ (all_28_1 = unit)
% 175.47/27.07 | | | | | | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | | | | | | SIMP: (16715) implies:
% 175.47/27.07 | | | | | | | | | | | | | | | | (16716) ~ (all_28_1 = unit)
% 175.47/27.07 | | | | | | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | | | | | | REDUCE: (16668), (16714) imply:
% 175.47/27.07 | | | | | | | | | | | | | | | | (16717) ~ (unit = e1)
% 175.47/27.07 | | | | | | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | | | | | | REDUCE: (16669), (16714) imply:
% 175.47/27.07 | | | | | | | | | | | | | | | | (16718) ~ (unit = e0)
% 175.47/27.07 | | | | | | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | | | | | | BETA: splitting (11697) gives:
% 175.47/27.07 | | | | | | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | | | | | | Case 1:
% 175.47/27.07 | | | | | | | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | | | | | | | (16719) unit = e2
% 175.47/27.07 | | | | | | | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | | | | | | | REDUCE: (16716), (16719) imply:
% 175.47/27.07 | | | | | | | | | | | | | | | | | (16720) ~ (all_28_1 = e2)
% 175.47/27.07 | | | | | | | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | | | | | | | BETA: splitting (268) gives:
% 175.47/27.07 | | | | | | | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | | | | | | | Case 1:
% 175.47/27.07 | | | | | | | | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | | | | | | | | (16721) all_63_3 = e3
% 175.47/27.07 | | | | | | | | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (16571), (16721) imply:
% 175.47/27.07 | | | | | | | | | | | | | | | | | | (16722) all_28_1 = e3
% 175.47/27.07 | | | | | | | | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | | | | | | | | REDUCE: (16575), (16722) imply:
% 175.47/27.07 | | | | | | | | | | | | | | | | | | (16723) $false
% 175.47/27.07 | | | | | | | | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | | | | | | | | CLOSE: (16723) is inconsistent.
% 175.47/27.07 | | | | | | | | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | | | | | | | Case 2:
% 175.47/27.07 | | | | | | | | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | | | | | | | | (16724) all_63_3 = e2 | all_63_3 = e1 | all_63_3 = e0
% 175.47/27.07 | | | | | | | | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | | | | | | | | BETA: splitting (16724) gives:
% 175.47/27.07 | | | | | | | | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | | | | | | | | Case 1:
% 175.47/27.07 | | | | | | | | | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | | | | | | | | | (16725) all_63_3 = e2
% 175.47/27.07 | | | | | | | | | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (16571), (16725) imply:
% 175.47/27.07 | | | | | | | | | | | | | | | | | | | (16726) all_28_1 = e2
% 175.47/27.07 | | | | | | | | | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | | | | | | | | | REDUCE: (16720), (16726) imply:
% 175.47/27.07 | | | | | | | | | | | | | | | | | | | (16727) $false
% 175.47/27.07 | | | | | | | | | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | | | | | | | | | CLOSE: (16727) is inconsistent.
% 175.47/27.07 | | | | | | | | | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | | | | | | | | Case 2:
% 175.47/27.07 | | | | | | | | | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | | | | | | | | | (16728) all_63_3 = e1 | all_63_3 = e0
% 175.47/27.07 | | | | | | | | | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | | | | | | | | | BETA: splitting (16728) gives:
% 175.47/27.07 | | | | | | | | | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | | | | | | | | | Case 1:
% 175.47/27.07 | | | | | | | | | | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | | | | | | | | | | (16729) all_63_3 = e1
% 175.47/27.07 | | | | | | | | | | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (16571), (16729) imply:
% 175.47/27.07 | | | | | | | | | | | | | | | | | | | | (16730) all_28_1 = e1
% 175.47/27.07 | | | | | | | | | | | | | | | | | | | |
% 175.47/27.07 | | | | | | | | | | | | | | | | | | | | REDUCE: (16645), (16730) imply:
% 175.47/27.08 | | | | | | | | | | | | | | | | | | | | (16731) $false
% 175.47/27.08 | | | | | | | | | | | | | | | | | | | |
% 175.47/27.08 | | | | | | | | | | | | | | | | | | | | CLOSE: (16731) is inconsistent.
% 175.47/27.08 | | | | | | | | | | | | | | | | | | | |
% 175.47/27.08 | | | | | | | | | | | | | | | | | | | Case 2:
% 175.47/27.08 | | | | | | | | | | | | | | | | | | | |
% 175.47/27.08 | | | | | | | | | | | | | | | | | | | | (16732) all_63_3 = e0
% 175.47/27.08 | | | | | | | | | | | | | | | | | | | |
% 175.47/27.08 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (16571), (16732) imply:
% 175.47/27.08 | | | | | | | | | | | | | | | | | | | | (16733) all_28_1 = e0
% 175.47/27.08 | | | | | | | | | | | | | | | | | | | |
% 175.47/27.08 | | | | | | | | | | | | | | | | | | | | REDUCE: (16572), (16733) imply:
% 175.47/27.08 | | | | | | | | | | | | | | | | | | | | (16734) ~ (all_61_4 = e0)
% 175.47/27.08 | | | | | | | | | | | | | | | | | | | |
% 175.47/27.08 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (50), (148), (158), (231), (475), (481),
% 175.47/27.08 | | | | | | | | | | | | | | | | | | | | (539), (731), (765), (11696), (16551), (16580),
% 175.47/27.08 | | | | | | | | | | | | | | | | | | | | (16710), (16712), (16734) are inconsistent by
% 175.47/27.08 | | | | | | | | | | | | | | | | | | | | sub-proof #111.
% 175.47/27.08 | | | | | | | | | | | | | | | | | | | |
% 175.47/27.08 | | | | | | | | | | | | | | | | | | | End of split
% 175.47/27.08 | | | | | | | | | | | | | | | | | | |
% 175.47/27.08 | | | | | | | | | | | | | | | | | | End of split
% 175.47/27.08 | | | | | | | | | | | | | | | | | |
% 175.47/27.08 | | | | | | | | | | | | | | | | | End of split
% 175.47/27.08 | | | | | | | | | | | | | | | | |
% 175.47/27.08 | | | | | | | | | | | | | | | | Case 2:
% 175.47/27.08 | | | | | | | | | | | | | | | | |
% 175.47/27.08 | | | | | | | | | | | | | | | | | (16735) unit = e1 | unit = e0
% 175.47/27.08 | | | | | | | | | | | | | | | | |
% 175.47/27.08 | | | | | | | | | | | | | | | | | REF_CLOSE: (16717), (16718), (16735) are inconsistent by
% 175.47/27.08 | | | | | | | | | | | | | | | | | sub-proof #419.
% 175.47/27.08 | | | | | | | | | | | | | | | | |
% 175.47/27.08 | | | | | | | | | | | | | | | | End of split
% 175.47/27.08 | | | | | | | | | | | | | | | |
% 175.47/27.08 | | | | | | | | | | | | | | | End of split
% 175.47/27.08 | | | | | | | | | | | | | | |
% 175.47/27.08 | | | | | | | | | | | | | | Case 2:
% 175.47/27.08 | | | | | | | | | | | | | | |
% 175.47/27.08 | | | | | | | | | | | | | | | (16736) all_58_1 = e1
% 175.47/27.08 | | | | | | | | | | | | | | |
% 175.47/27.08 | | | | | | | | | | | | | | | COMBINE_EQS: (481), (16736) imply:
% 175.47/27.08 | | | | | | | | | | | | | | | (16737) all_52_1 = e1
% 175.47/27.08 | | | | | | | | | | | | | | |
% 175.47/27.08 | | | | | | | | | | | | | | | SIMP: (16737) implies:
% 175.47/27.08 | | | | | | | | | | | | | | | (16738) all_52_1 = e1
% 175.47/27.08 | | | | | | | | | | | | | | |
% 175.47/27.08 | | | | | | | | | | | | | | | REDUCE: (731), (16738) imply:
% 175.47/27.08 | | | | | | | | | | | | | | | (16739) op(e2, e1) = unit
% 175.47/27.08 | | | | | | | | | | | | | | |
% 175.47/27.08 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_12_1, unit, e1, e2,
% 175.47/27.08 | | | | | | | | | | | | | | | simplifying with (15409), (16739) gives:
% 175.47/27.08 | | | | | | | | | | | | | | | (16740) all_12_1 = unit
% 175.47/27.08 | | | | | | | | | | | | | | |
% 175.47/27.08 | | | | | | | | | | | | | | | REDUCE: (15453), (16740) imply:
% 175.47/27.08 | | | | | | | | | | | | | | | (16741) ~ (all_61_4 = unit)
% 175.47/27.08 | | | | | | | | | | | | | | |
% 175.47/27.08 | | | | | | | | | | | | | | | REDUCE: (15487), (16740) imply:
% 175.47/27.08 | | | | | | | | | | | | | | | (16742) ~ (all_61_13 = unit)
% 175.47/27.08 | | | | | | | | | | | | | | |
% 175.47/27.08 | | | | | | | | | | | | | | | REDUCE: (16667), (16740) imply:
% 175.47/27.08 | | | | | | | | | | | | | | | (16743) ~ (all_40_1 = unit)
% 175.47/27.08 | | | | | | | | | | | | | | |
% 175.47/27.08 | | | | | | | | | | | | | | | REDUCE: (15458), (16740) imply:
% 175.47/27.08 | | | | | | | | | | | | | | | (16744) ~ (unit = e1)
% 175.47/27.08 | | | | | | | | | | | | | | |
% 175.47/27.08 | | | | | | | | | | | | | | | REDUCE: (15459), (16740) imply:
% 175.47/27.08 | | | | | | | | | | | | | | | (16745) ~ (unit = e0)
% 175.47/27.08 | | | | | | | | | | | | | | |
% 175.47/27.08 | | | | | | | | | | | | | | | BETA: splitting (11697) gives:
% 175.47/27.08 | | | | | | | | | | | | | | |
% 175.47/27.08 | | | | | | | | | | | | | | | Case 1:
% 175.47/27.08 | | | | | | | | | | | | | | | |
% 175.47/27.08 | | | | | | | | | | | | | | | | (16746) unit = e2
% 175.47/27.08 | | | | | | | | | | | | | | | |
% 175.47/27.08 | | | | | | | | | | | | | | | | REDUCE: (16741), (16746) imply:
% 175.47/27.08 | | | | | | | | | | | | | | | | (16747) ~ (all_61_4 = e2)
% 175.47/27.08 | | | | | | | | | | | | | | | |
% 175.47/27.08 | | | | | | | | | | | | | | | | REDUCE: (16742), (16746) imply:
% 175.47/27.08 | | | | | | | | | | | | | | | | (16748) ~ (all_61_13 = e2)
% 175.47/27.08 | | | | | | | | | | | | | | | |
% 175.47/27.08 | | | | | | | | | | | | | | | | REDUCE: (16743), (16746) imply:
% 175.47/27.08 | | | | | | | | | | | | | | | | (16749) ~ (all_40_1 = e2)
% 175.47/27.08 | | | | | | | | | | | | | | | |
% 175.47/27.08 | | | | | | | | | | | | | | | | BETA: splitting (264) gives:
% 175.47/27.08 | | | | | | | | | | | | | | | |
% 175.47/27.08 | | | | | | | | | | | | | | | | Case 1:
% 175.47/27.08 | | | | | | | | | | | | | | | | |
% 175.47/27.08 | | | | | | | | | | | | | | | | | (16750) all_63_7 = e3
% 175.47/27.08 | | | | | | | | | | | | | | | | |
% 175.47/27.08 | | | | | | | | | | | | | | | | | COMBINE_EQS: (498), (16750) imply:
% 175.47/27.08 | | | | | | | | | | | | | | | | | (16751) all_61_13 = e3
% 175.47/27.08 | | | | | | | | | | | | | | | | |
% 175.47/27.08 | | | | | | | | | | | | | | | | | REDUCE: (16539), (16751) imply:
% 175.47/27.08 | | | | | | | | | | | | | | | | | (16752) $false
% 175.47/27.08 | | | | | | | | | | | | | | | | |
% 175.47/27.08 | | | | | | | | | | | | | | | | | CLOSE: (16752) is inconsistent.
% 175.47/27.08 | | | | | | | | | | | | | | | | |
% 175.47/27.08 | | | | | | | | | | | | | | | | Case 2:
% 175.47/27.08 | | | | | | | | | | | | | | | | |
% 175.47/27.08 | | | | | | | | | | | | | | | | | (16753) all_63_7 = e2 | all_63_7 = e1 | all_63_7 = e0
% 175.47/27.08 | | | | | | | | | | | | | | | | |
% 175.47/27.08 | | | | | | | | | | | | | | | | | REF_CLOSE: (263), (269), (270), (488), (498), (15414),
% 175.47/27.08 | | | | | | | | | | | | | | | | | (15486), (15488), (16663), (16664), (16665),
% 175.47/27.08 | | | | | | | | | | | | | | | | | (16668), (16669), (16747), (16748), (16749),
% 175.47/27.08 | | | | | | | | | | | | | | | | | (16753) are inconsistent by sub-proof #124.
% 175.47/27.08 | | | | | | | | | | | | | | | | |
% 175.47/27.08 | | | | | | | | | | | | | | | | End of split
% 175.47/27.08 | | | | | | | | | | | | | | | |
% 175.47/27.08 | | | | | | | | | | | | | | | Case 2:
% 175.47/27.08 | | | | | | | | | | | | | | | |
% 175.47/27.08 | | | | | | | | | | | | | | | | (16754) unit = e1 | unit = e0
% 175.47/27.08 | | | | | | | | | | | | | | | |
% 175.47/27.08 | | | | | | | | | | | | | | | | REF_CLOSE: (16744), (16745), (16754) are inconsistent by
% 175.47/27.08 | | | | | | | | | | | | | | | | sub-proof #419.
% 175.47/27.08 | | | | | | | | | | | | | | | |
% 175.47/27.08 | | | | | | | | | | | | | | | End of split
% 175.47/27.08 | | | | | | | | | | | | | | |
% 175.47/27.08 | | | | | | | | | | | | | | End of split
% 175.47/27.08 | | | | | | | | | | | | | |
% 175.47/27.08 | | | | | | | | | | | | | End of split
% 175.47/27.08 | | | | | | | | | | | | |
% 175.47/27.08 | | | | | | | | | | | | End of split
% 175.47/27.08 | | | | | | | | | | | |
% 175.47/27.08 | | | | | | | | | | | Case 2:
% 175.47/27.08 | | | | | | | | | | | |
% 175.47/27.08 | | | | | | | | | | | | (16755) all_36_2 = e0
% 175.47/27.08 | | | | | | | | | | | | (16756) op(e3, e0) = all_36_1 & $i(all_36_1) & ( ~
% 175.47/27.08 | | | | | | | | | | | | (all_36_1 = e2) | ( ~ (all_36_0 = e1) & op(e2,
% 175.47/27.08 | | | | | | | | | | | | e3) = all_36_0 & $i(all_36_0)))
% 175.47/27.08 | | | | | | | | | | | |
% 175.47/27.08 | | | | | | | | | | | | ALPHA: (16756) implies:
% 175.47/27.08 | | | | | | | | | | | | (16757) op(e3, e0) = all_36_1
% 175.47/27.08 | | | | | | | | | | | |
% 175.47/27.08 | | | | | | | | | | | | COMBINE_EQS: (557), (16755) imply:
% 175.47/27.08 | | | | | | | | | | | | (16758) all_14_2 = e0
% 175.47/27.08 | | | | | | | | | | | |
% 175.47/27.08 | | | | | | | | | | | | COMBINE_EQS: (549), (16758) imply:
% 175.47/27.08 | | | | | | | | | | | | (16759) all_44_2 = e0
% 175.47/27.08 | | | | | | | | | | | |
% 175.47/27.08 | | | | | | | | | | | | REDUCE: (599), (16758) imply:
% 175.47/27.08 | | | | | | | | | | | | (16760) ~ (all_61_4 = e0)
% 175.47/27.08 | | | | | | | | | | | |
% 175.47/27.08 | | | | | | | | | | | | REDUCE: (698), (16758) imply:
% 175.47/27.08 | | | | | | | | | | | | (16761) op(e3, e0) = all_65_0
% 175.47/27.08 | | | | | | | | | | | |
% 175.47/27.08 | | | | | | | | | | | | REDUCE: (715), (16758) imply:
% 175.47/27.08 | | | | | | | | | | | | (16762) op(e2, e0) = all_65_16
% 175.47/27.08 | | | | | | | | | | | |
% 175.47/27.08 | | | | | | | | | | | | REDUCE: (732), (16758) imply:
% 175.47/27.08 | | | | | | | | | | | | (16763) op(e1, e0) = all_65_32
% 175.47/27.08 | | | | | | | | | | | |
% 175.47/27.08 | | | | | | | | | | | | REDUCE: (749), (16758) imply:
% 175.47/27.08 | | | | | | | | | | | | (16764) op(e0, e0) = all_65_49
% 175.47/27.08 | | | | | | | | | | | |
% 175.47/27.08 | | | | | | | | | | | | BETA: splitting (113) gives:
% 175.47/27.08 | | | | | | | | | | | |
% 175.47/27.08 | | | | | | | | | | | | Case 1:
% 175.47/27.08 | | | | | | | | | | | | |
% 175.47/27.08 | | | | | | | | | | | | | (16765) ~ (all_44_2 = e0)
% 175.47/27.08 | | | | | | | | | | | | |
% 175.47/27.08 | | | | | | | | | | | | | REDUCE: (16759), (16765) imply:
% 175.47/27.08 | | | | | | | | | | | | | (16766) $false
% 175.47/27.08 | | | | | | | | | | | | |
% 175.47/27.08 | | | | | | | | | | | | | CLOSE: (16766) is inconsistent.
% 175.47/27.08 | | | | | | | | | | | | |
% 175.47/27.08 | | | | | | | | | | | | Case 2:
% 175.47/27.08 | | | | | | | | | | | | |
% 175.47/27.08 | | | | | | | | | | | | | (16767) op(e3, e0) = all_44_1 & $i(all_44_1) & ( ~
% 175.47/27.08 | | | | | | | | | | | | | (all_44_1 = e1) | ( ~ (all_44_0 = e2) & op(e1,
% 175.47/27.08 | | | | | | | | | | | | | e3) = all_44_0 & $i(all_44_0)))
% 175.47/27.08 | | | | | | | | | | | | |
% 175.47/27.08 | | | | | | | | | | | | | ALPHA: (16767) implies:
% 175.47/27.08 | | | | | | | | | | | | | (16768) op(e3, e0) = all_44_1
% 175.47/27.08 | | | | | | | | | | | | |
% 175.92/27.08 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e3, all_65_49, e0, e0,
% 175.92/27.08 | | | | | | | | | | | | | simplifying with (16551), (16764) gives:
% 175.92/27.08 | | | | | | | | | | | | | (16769) all_65_49 = e3
% 175.92/27.08 | | | | | | | | | | | | |
% 175.92/27.08 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_8_1, all_65_32, e0,
% 175.92/27.08 | | | | | | | | | | | | | e1, simplifying with (11606), (16763) gives:
% 175.92/27.08 | | | | | | | | | | | | | (16770) all_65_32 = all_8_1
% 175.92/27.08 | | | | | | | | | | | | |
% 175.92/27.08 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_13, all_65_16, e0,
% 175.92/27.08 | | | | | | | | | | | | | e2, simplifying with (231), (16762) gives:
% 175.92/27.08 | | | | | | | | | | | | | (16771) all_65_16 = all_61_13
% 175.92/27.08 | | | | | | | | | | | | |
% 175.92/27.08 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_28_1, all_44_1, e0,
% 175.92/27.08 | | | | | | | | | | | | | e3, simplifying with (16583), (16768) gives:
% 175.92/27.08 | | | | | | | | | | | | | (16772) all_44_1 = all_28_1
% 175.92/27.08 | | | | | | | | | | | | |
% 175.92/27.08 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_44_1, all_65_0, e0,
% 175.92/27.08 | | | | | | | | | | | | | e3, simplifying with (16761), (16768) gives:
% 175.92/27.08 | | | | | | | | | | | | | (16773) all_65_0 = all_44_1
% 175.92/27.08 | | | | | | | | | | | | |
% 175.92/27.08 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_36_1, all_65_0, e0,
% 175.92/27.08 | | | | | | | | | | | | | e3, simplifying with (16757), (16761) gives:
% 175.92/27.08 | | | | | | | | | | | | | (16774) all_65_0 = all_36_1
% 175.92/27.08 | | | | | | | | | | | | |
% 175.92/27.08 | | | | | | | | | | | | | COMBINE_EQS: (16773), (16774) imply:
% 175.92/27.08 | | | | | | | | | | | | | (16775) all_44_1 = all_36_1
% 175.92/27.08 | | | | | | | | | | | | |
% 175.92/27.08 | | | | | | | | | | | | | SIMP: (16775) implies:
% 175.92/27.08 | | | | | | | | | | | | | (16776) all_44_1 = all_36_1
% 175.92/27.08 | | | | | | | | | | | | |
% 175.92/27.08 | | | | | | | | | | | | | COMBINE_EQS: (16772), (16776) imply:
% 175.92/27.08 | | | | | | | | | | | | | (16777) all_36_1 = all_28_1
% 175.92/27.08 | | | | | | | | | | | | |
% 175.92/27.08 | | | | | | | | | | | | | REDUCE: (16590), (16769) imply:
% 175.92/27.08 | | | | | | | | | | | | | (16778) op(e3, all_28_1) = e3
% 175.92/27.08 | | | | | | | | | | | | |
% 175.92/27.08 | | | | | | | | | | | | | BETA: splitting (157) gives:
% 175.92/27.08 | | | | | | | | | | | | |
% 175.92/27.08 | | | | | | | | | | | | | Case 1:
% 175.92/27.08 | | | | | | | | | | | | | |
% 175.92/27.08 | | | | | | | | | | | | | | (16779) ~ (all_58_3 = e1)
% 175.92/27.08 | | | | | | | | | | | | | |
% 175.92/27.08 | | | | | | | | | | | | | | REDUCE: (475), (16779) imply:
% 175.92/27.08 | | | | | | | | | | | | | | (16780) ~ (all_52_3 = e1)
% 175.92/27.08 | | | | | | | | | | | | | |
% 175.92/27.08 | | | | | | | | | | | | | | BETA: splitting (159) gives:
% 175.92/27.08 | | | | | | | | | | | | | |
% 175.92/27.08 | | | | | | | | | | | | | | Case 1:
% 175.92/27.08 | | | | | | | | | | | | | | |
% 175.92/27.08 | | | | | | | | | | | | | | | (16781) ~ (all_58_3 = e3)
% 175.92/27.08 | | | | | | | | | | | | | | |
% 175.92/27.08 | | | | | | | | | | | | | | | REDUCE: (475), (16781) imply:
% 175.92/27.08 | | | | | | | | | | | | | | | (16782) ~ (all_52_3 = e3)
% 175.92/27.08 | | | | | | | | | | | | | | |
% 175.92/27.08 | | | | | | | | | | | | | | | REF_CLOSE: (7), (50), (148), (158), (231), (475), (481),
% 175.92/27.08 | | | | | | | | | | | | | | | (539), (731), (765), (11696), (16551), (16580),
% 175.92/27.08 | | | | | | | | | | | | | | | (16760), (16780), (16782) are inconsistent by
% 175.92/27.08 | | | | | | | | | | | | | | | sub-proof #111.
% 175.92/27.08 | | | | | | | | | | | | | | |
% 175.92/27.08 | | | | | | | | | | | | | | Case 2:
% 175.92/27.08 | | | | | | | | | | | | | | |
% 175.92/27.08 | | | | | | | | | | | | | | | (16783) all_58_3 = e3
% 175.92/27.08 | | | | | | | | | | | | | | | (16784) all_58_0 = e0
% 175.92/27.08 | | | | | | | | | | | | | | |
% 175.92/27.08 | | | | | | | | | | | | | | | COMBINE_EQS: (484), (16784) imply:
% 175.92/27.08 | | | | | | | | | | | | | | | (16785) all_52_0 = e0
% 175.92/27.08 | | | | | | | | | | | | | | |
% 175.92/27.08 | | | | | | | | | | | | | | | SIMP: (16785) implies:
% 175.92/27.08 | | | | | | | | | | | | | | | (16786) all_52_0 = e0
% 175.92/27.08 | | | | | | | | | | | | | | |
% 175.92/27.08 | | | | | | | | | | | | | | | COMBINE_EQS: (475), (16783) imply:
% 175.92/27.08 | | | | | | | | | | | | | | | (16787) all_52_3 = e3
% 175.92/27.08 | | | | | | | | | | | | | | |
% 175.92/27.08 | | | | | | | | | | | | | | | REDUCE: (629), (16786) imply:
% 175.92/27.08 | | | | | | | | | | | | | | | (16788) ~ (all_52_2 = e0)
% 175.92/27.08 | | | | | | | | | | | | | | |
% 175.92/27.08 | | | | | | | | | | | | | | | SIMP: (16788) implies:
% 175.92/27.08 | | | | | | | | | | | | | | | (16789) ~ (all_52_2 = e0)
% 175.92/27.08 | | | | | | | | | | | | | | |
% 175.92/27.08 | | | | | | | | | | | | | | | REDUCE: (633), (16787) imply:
% 175.92/27.08 | | | | | | | | | | | | | | | (16790) ~ (all_52_2 = e3)
% 175.92/27.08 | | | | | | | | | | | | | | |
% 175.92/27.08 | | | | | | | | | | | | | | | REDUCE: (714), (16786) imply:
% 175.92/27.08 | | | | | | | | | | | | | | | (16791) op(e3, e0) = unit
% 175.92/27.08 | | | | | | | | | | | | | | |
% 175.92/27.08 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_28_1, unit, e0, e3,
% 175.92/27.08 | | | | | | | | | | | | | | | simplifying with (16583), (16791) gives:
% 175.92/27.08 | | | | | | | | | | | | | | | (16792) all_28_1 = unit
% 175.92/27.08 | | | | | | | | | | | | | | |
% 175.92/27.08 | | | | | | | | | | | | | | | BETA: splitting (161) gives:
% 175.92/27.08 | | | | | | | | | | | | | | |
% 175.92/27.08 | | | | | | | | | | | | | | | Case 1:
% 175.92/27.08 | | | | | | | | | | | | | | | |
% 175.92/27.08 | | | | | | | | | | | | | | | | (16793) ~ (all_58_2 = e2)
% 175.92/27.08 | | | | | | | | | | | | | | | |
% 175.92/27.08 | | | | | | | | | | | | | | | | REDUCE: (478), (16793) imply:
% 175.92/27.08 | | | | | | | | | | | | | | | | (16794) ~ (all_52_2 = e2)
% 175.92/27.08 | | | | | | | | | | | | | | | |
% 175.92/27.08 | | | | | | | | | | | | | | | | REF_CLOSE: (6), (50), (149), (235), (538), (748), (11622),
% 175.92/27.08 | | | | | | | | | | | | | | | | (16538), (16789), (16790), (16794) are
% 175.92/27.08 | | | | | | | | | | | | | | | | inconsistent by sub-proof #169.
% 175.92/27.08 | | | | | | | | | | | | | | | |
% 175.92/27.08 | | | | | | | | | | | | | | | Case 2:
% 175.92/27.08 | | | | | | | | | | | | | | | |
% 175.92/27.08 | | | | | | | | | | | | | | | | (16795) all_58_1 = e1
% 175.92/27.08 | | | | | | | | | | | | | | | |
% 175.92/27.08 | | | | | | | | | | | | | | | | COMBINE_EQS: (481), (16795) imply:
% 175.92/27.08 | | | | | | | | | | | | | | | | (16796) all_52_1 = e1
% 175.92/27.08 | | | | | | | | | | | | | | | |
% 175.92/27.08 | | | | | | | | | | | | | | | | SIMP: (16796) implies:
% 175.92/27.08 | | | | | | | | | | | | | | | | (16797) all_52_1 = e1
% 175.92/27.08 | | | | | | | | | | | | | | | |
% 175.92/27.08 | | | | | | | | | | | | | | | | REDUCE: (731), (16797) imply:
% 175.92/27.08 | | | | | | | | | | | | | | | | (16798) op(e2, e1) = unit
% 175.92/27.08 | | | | | | | | | | | | | | | |
% 175.92/27.08 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_12_1, unit, e1, e2,
% 175.92/27.08 | | | | | | | | | | | | | | | | simplifying with (15409), (16798) gives:
% 175.92/27.08 | | | | | | | | | | | | | | | | (16799) all_12_1 = unit
% 175.92/27.08 | | | | | | | | | | | | | | | |
% 175.92/27.08 | | | | | | | | | | | | | | | | REDUCE: (15453), (16799) imply:
% 175.92/27.08 | | | | | | | | | | | | | | | | (16800) ~ (all_61_4 = unit)
% 175.92/27.08 | | | | | | | | | | | | | | | |
% 175.92/27.08 | | | | | | | | | | | | | | | | REDUCE: (15456), (16799) imply:
% 175.92/27.08 | | | | | | | | | | | | | | | | (16801) ~ (all_61_8 = unit)
% 175.92/27.08 | | | | | | | | | | | | | | | |
% 175.92/27.08 | | | | | | | | | | | | | | | | REDUCE: (15457), (16799) imply:
% 175.92/27.08 | | | | | | | | | | | | | | | | (16802) ~ (all_8_1 = unit)
% 175.92/27.08 | | | | | | | | | | | | | | | |
% 175.92/27.08 | | | | | | | | | | | | | | | | SIMP: (16802) implies:
% 175.92/27.08 | | | | | | | | | | | | | | | | (16803) ~ (all_8_1 = unit)
% 175.92/27.08 | | | | | | | | | | | | | | | |
% 175.92/27.08 | | | | | | | | | | | | | | | | REDUCE: (15458), (16799) imply:
% 175.92/27.08 | | | | | | | | | | | | | | | | (16804) ~ (unit = e1)
% 175.92/27.08 | | | | | | | | | | | | | | | |
% 175.92/27.08 | | | | | | | | | | | | | | | | REDUCE: (15459), (16799) imply:
% 175.92/27.08 | | | | | | | | | | | | | | | | (16805) ~ (unit = e0)
% 175.92/27.08 | | | | | | | | | | | | | | | |
% 175.92/27.08 | | | | | | | | | | | | | | | | BETA: splitting (11697) gives:
% 175.92/27.08 | | | | | | | | | | | | | | | |
% 175.92/27.08 | | | | | | | | | | | | | | | | Case 1:
% 175.92/27.08 | | | | | | | | | | | | | | | | |
% 175.92/27.08 | | | | | | | | | | | | | | | | | (16806) unit = e2
% 175.92/27.08 | | | | | | | | | | | | | | | | |
% 175.92/27.08 | | | | | | | | | | | | | | | | | REDUCE: (16800), (16806) imply:
% 175.92/27.08 | | | | | | | | | | | | | | | | | (16807) ~ (all_61_4 = e2)
% 175.92/27.08 | | | | | | | | | | | | | | | | |
% 175.92/27.08 | | | | | | | | | | | | | | | | | REDUCE: (16801), (16806) imply:
% 175.92/27.08 | | | | | | | | | | | | | | | | | (16808) ~ (all_61_8 = e2)
% 175.92/27.08 | | | | | | | | | | | | | | | | |
% 175.92/27.08 | | | | | | | | | | | | | | | | | REDUCE: (16803), (16806) imply:
% 175.92/27.08 | | | | | | | | | | | | | | | | | (16809) ~ (all_8_1 = e2)
% 175.92/27.08 | | | | | | | | | | | | | | | | |
% 175.92/27.08 | | | | | | | | | | | | | | | | | BETA: splitting (257) gives:
% 175.92/27.08 | | | | | | | | | | | | | | | | |
% 175.92/27.08 | | | | | | | | | | | | | | | | | Case 1:
% 175.92/27.08 | | | | | | | | | | | | | | | | | |
% 175.92/27.08 | | | | | | | | | | | | | | | | | | (16810) all_63_14 = e3
% 175.92/27.08 | | | | | | | | | | | | | | | | | |
% 175.92/27.08 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11645), (16810) imply:
% 175.92/27.08 | | | | | | | | | | | | | | | | | | (16811) all_8_1 = e3
% 175.92/27.08 | | | | | | | | | | | | | | | | | |
% 175.92/27.08 | | | | | | | | | | | | | | | | | | REDUCE: (16541), (16811) imply:
% 175.92/27.08 | | | | | | | | | | | | | | | | | | (16812) $false
% 175.92/27.08 | | | | | | | | | | | | | | | | | |
% 175.92/27.08 | | | | | | | | | | | | | | | | | | CLOSE: (16812) is inconsistent.
% 175.92/27.08 | | | | | | | | | | | | | | | | | |
% 175.92/27.08 | | | | | | | | | | | | | | | | | Case 2:
% 175.92/27.08 | | | | | | | | | | | | | | | | | |
% 175.92/27.08 | | | | | | | | | | | | | | | | | | (16813) all_63_14 = e2 | all_63_14 = e1 | all_63_14 = e0
% 175.92/27.08 | | | | | | | | | | | | | | | | | |
% 175.92/27.08 | | | | | | | | | | | | | | | | | | BETA: splitting (267) gives:
% 175.92/27.08 | | | | | | | | | | | | | | | | | |
% 175.92/27.08 | | | | | | | | | | | | | | | | | | Case 1:
% 175.92/27.08 | | | | | | | | | | | | | | | | | | |
% 175.92/27.08 | | | | | | | | | | | | | | | | | | | (16814) all_63_4 = e3
% 175.92/27.08 | | | | | | | | | | | | | | | | | | |
% 175.92/27.08 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (16570), (16814) imply:
% 175.92/27.08 | | | | | | | | | | | | | | | | | | | (16815) all_61_4 = e3
% 175.92/27.08 | | | | | | | | | | | | | | | | | | |
% 175.92/27.08 | | | | | | | | | | | | | | | | | | | REDUCE: (201), (16815) imply:
% 175.92/27.08 | | | | | | | | | | | | | | | | | | | (16816) ~ (all_61_8 = e3)
% 175.92/27.08 | | | | | | | | | | | | | | | | | | |
% 175.92/27.08 | | | | | | | | | | | | | | | | | | | SIMP: (16816) implies:
% 175.92/27.08 | | | | | | | | | | | | | | | | | | | (16817) ~ (all_61_8 = e3)
% 175.92/27.08 | | | | | | | | | | | | | | | | | | |
% 175.92/27.08 | | | | | | | | | | | | | | | | | | | BETA: splitting (263) gives:
% 175.92/27.08 | | | | | | | | | | | | | | | | | | |
% 175.92/27.08 | | | | | | | | | | | | | | | | | | | Case 1:
% 175.92/27.08 | | | | | | | | | | | | | | | | | | | |
% 175.92/27.08 | | | | | | | | | | | | | | | | | | | | (16818) all_63_8 = e3
% 175.92/27.08 | | | | | | | | | | | | | | | | | | | |
% 175.92/27.08 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (16569), (16818) imply:
% 175.92/27.08 | | | | | | | | | | | | | | | | | | | | (16819) all_61_8 = e3
% 175.92/27.08 | | | | | | | | | | | | | | | | | | | |
% 175.92/27.08 | | | | | | | | | | | | | | | | | | | | REDUCE: (16817), (16819) imply:
% 175.92/27.08 | | | | | | | | | | | | | | | | | | | | (16820) $false
% 175.92/27.08 | | | | | | | | | | | | | | | | | | | |
% 175.92/27.08 | | | | | | | | | | | | | | | | | | | | CLOSE: (16820) is inconsistent.
% 175.92/27.08 | | | | | | | | | | | | | | | | | | | |
% 175.92/27.08 | | | | | | | | | | | | | | | | | | | Case 2:
% 175.92/27.08 | | | | | | | | | | | | | | | | | | | |
% 175.92/27.08 | | | | | | | | | | | | | | | | | | | | (16821) all_63_8 = e2 | all_63_8 = e1 | all_63_8 = e0
% 175.92/27.08 | | | | | | | | | | | | | | | | | | | |
% 175.92/27.08 | | | | | | | | | | | | | | | | | | | | BETA: splitting (16821) gives:
% 175.92/27.08 | | | | | | | | | | | | | | | | | | | |
% 175.92/27.08 | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.92/27.08 | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.08 | | | | | | | | | | | | | | | | | | | | | (16822) all_63_8 = e2
% 175.92/27.08 | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.08 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (16569), (16822) imply:
% 175.92/27.08 | | | | | | | | | | | | | | | | | | | | | (16823) all_61_8 = e2
% 175.92/27.08 | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.08 | | | | | | | | | | | | | | | | | | | | | REDUCE: (16808), (16823) imply:
% 175.92/27.08 | | | | | | | | | | | | | | | | | | | | | (16824) $false
% 175.92/27.08 | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.08 | | | | | | | | | | | | | | | | | | | | | CLOSE: (16824) is inconsistent.
% 175.92/27.08 | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.08 | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.92/27.08 | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.08 | | | | | | | | | | | | | | | | | | | | | (16825) all_63_8 = e1 | all_63_8 = e0
% 175.92/27.08 | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.08 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16825) gives:
% 175.92/27.08 | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.08 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.92/27.08 | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.08 | | | | | | | | | | | | | | | | | | | | | | (16826) all_63_8 = e1
% 175.92/27.08 | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.08 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (16569), (16826) imply:
% 175.92/27.08 | | | | | | | | | | | | | | | | | | | | | | (16827) all_61_8 = e1
% 175.92/27.08 | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.08 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11651), (16827) imply:
% 175.92/27.08 | | | | | | | | | | | | | | | | | | | | | | (16828) ~ (all_8_1 = e1)
% 175.92/27.08 | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.08 | | | | | | | | | | | | | | | | | | | | | | SIMP: (16828) implies:
% 175.92/27.08 | | | | | | | | | | | | | | | | | | | | | | (16829) ~ (all_8_1 = e1)
% 175.92/27.08 | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.08 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11645), (11657), (16809), (16813), (16829) are
% 175.92/27.08 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #153.
% 175.92/27.08 | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.08 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.92/27.08 | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.08 | | | | | | | | | | | | | | | | | | | | | | (16830) all_63_8 = e0
% 175.92/27.08 | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.08 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (16569), (16830) imply:
% 175.92/27.08 | | | | | | | | | | | | | | | | | | | | | | (16831) all_61_8 = e0
% 175.92/27.08 | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.08 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11612), (16831) imply:
% 175.92/27.08 | | | | | | | | | | | | | | | | | | | | | | (16832) $false
% 175.92/27.08 | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.08 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (16832) is inconsistent.
% 175.92/27.08 | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.08 | | | | | | | | | | | | | | | | | | | | | End of split
% 175.92/27.08 | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.08 | | | | | | | | | | | | | | | | | | | | End of split
% 175.92/27.08 | | | | | | | | | | | | | | | | | | | |
% 175.92/27.08 | | | | | | | | | | | | | | | | | | | End of split
% 175.92/27.08 | | | | | | | | | | | | | | | | | | |
% 175.92/27.08 | | | | | | | | | | | | | | | | | | Case 2:
% 175.92/27.08 | | | | | | | | | | | | | | | | | | |
% 175.92/27.08 | | | | | | | | | | | | | | | | | | | (16833) ~ (all_63_4 = e3)
% 175.92/27.08 | | | | | | | | | | | | | | | | | | |
% 175.92/27.08 | | | | | | | | | | | | | | | | | | | REDUCE: (16570), (16833) imply:
% 175.92/27.08 | | | | | | | | | | | | | | | | | | | (16834) ~ (all_61_4 = e3)
% 175.92/27.08 | | | | | | | | | | | | | | | | | | |
% 175.92/27.08 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (270), (488), (15414), (16760), (16807), (16834)
% 175.92/27.08 | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #418.
% 175.92/27.08 | | | | | | | | | | | | | | | | | | |
% 175.92/27.08 | | | | | | | | | | | | | | | | | | End of split
% 175.92/27.08 | | | | | | | | | | | | | | | | | |
% 175.92/27.08 | | | | | | | | | | | | | | | | | End of split
% 175.92/27.08 | | | | | | | | | | | | | | | | |
% 175.92/27.08 | | | | | | | | | | | | | | | | Case 2:
% 175.92/27.08 | | | | | | | | | | | | | | | | |
% 175.92/27.08 | | | | | | | | | | | | | | | | | (16835) unit = e1 | unit = e0
% 175.92/27.08 | | | | | | | | | | | | | | | | |
% 175.92/27.08 | | | | | | | | | | | | | | | | | REF_CLOSE: (16804), (16805), (16835) are inconsistent by
% 175.92/27.08 | | | | | | | | | | | | | | | | | sub-proof #419.
% 175.92/27.08 | | | | | | | | | | | | | | | | |
% 175.92/27.08 | | | | | | | | | | | | | | | | End of split
% 175.92/27.08 | | | | | | | | | | | | | | | |
% 175.92/27.08 | | | | | | | | | | | | | | | End of split
% 175.92/27.08 | | | | | | | | | | | | | | |
% 175.92/27.08 | | | | | | | | | | | | | | End of split
% 175.92/27.08 | | | | | | | | | | | | | |
% 175.92/27.08 | | | | | | | | | | | | | Case 2:
% 175.92/27.08 | | | | | | | | | | | | | |
% 175.92/27.08 | | | | | | | | | | | | | | (16836) all_58_2 = e0
% 175.92/27.08 | | | | | | | | | | | | | |
% 175.92/27.08 | | | | | | | | | | | | | | REF_CLOSE: (8), (22), (50), (478), (748), (11606), (16546),
% 175.92/27.08 | | | | | | | | | | | | | | (16836) are inconsistent by sub-proof #110.
% 175.92/27.08 | | | | | | | | | | | | | |
% 175.92/27.08 | | | | | | | | | | | | | End of split
% 175.92/27.08 | | | | | | | | | | | | |
% 175.92/27.08 | | | | | | | | | | | | End of split
% 175.92/27.08 | | | | | | | | | | | |
% 175.92/27.08 | | | | | | | | | | | End of split
% 175.92/27.08 | | | | | | | | | | |
% 175.92/27.08 | | | | | | | | | | End of split
% 175.92/27.08 | | | | | | | | | |
% 175.92/27.08 | | | | | | | | | Case 2:
% 175.92/27.08 | | | | | | | | | |
% 175.92/27.08 | | | | | | | | | | (16837) all_20_2 = e2
% 175.92/27.08 | | | | | | | | | | (16838) op(e0, e2) = all_20_1 & $i(all_20_1) & ( ~
% 175.92/27.08 | | | | | | | | | | (all_20_1 = e1) | ( ~ (all_20_0 = e3) & op(e1,
% 175.92/27.08 | | | | | | | | | | e0) = all_20_0 & $i(all_20_0)))
% 175.92/27.08 | | | | | | | | | |
% 175.92/27.08 | | | | | | | | | | ALPHA: (16838) implies:
% 175.92/27.08 | | | | | | | | | | (16839) op(e0, e2) = all_20_1
% 175.92/27.08 | | | | | | | | | |
% 175.92/27.08 | | | | | | | | | | REDUCE: (606), (16837) imply:
% 175.92/27.08 | | | | | | | | | | (16840) ~ (all_61_3 = e2)
% 175.92/27.08 | | | | | | | | | |
% 175.92/27.08 | | | | | | | | | | REDUCE: (625), (16837) imply:
% 175.92/27.08 | | | | | | | | | | (16841) ~ (all_61_12 = e2)
% 175.92/27.08 | | | | | | | | | |
% 175.92/27.08 | | | | | | | | | | REDUCE: (626), (16837) imply:
% 175.92/27.08 | | | | | | | | | | (16842) ~ (all_61_13 = e2)
% 175.92/27.08 | | | | | | | | | |
% 175.92/27.08 | | | | | | | | | | REDUCE: (11656), (16837) imply:
% 175.92/27.08 | | | | | | | | | | (16843) ~ (all_8_1 = e2)
% 175.92/27.08 | | | | | | | | | |
% 175.92/27.08 | | | | | | | | | | SIMP: (16843) implies:
% 175.92/27.08 | | | | | | | | | | (16844) ~ (all_8_1 = e2)
% 175.92/27.08 | | | | | | | | | |
% 175.92/27.08 | | | | | | | | | | REDUCE: (694), (16837) imply:
% 175.92/27.08 | | | | | | | | | | (16845) op(e2, e3) = all_65_73
% 175.92/27.08 | | | | | | | | | |
% 175.92/27.08 | | | | | | | | | | REDUCE: (696), (16837) imply:
% 175.92/27.08 | | | | | | | | | | (16846) op(e2, e1) = all_65_77
% 175.92/27.08 | | | | | | | | | |
% 175.92/27.08 | | | | | | | | | | REDUCE: (697), (16837) imply:
% 175.92/27.08 | | | | | | | | | | (16847) op(e2, e0) = all_65_78
% 175.92/27.08 | | | | | | | | | |
% 175.92/27.08 | | | | | | | | | | REDUCE: (713), (16837) imply:
% 175.92/27.08 | | | | | | | | | | (16848) op(e3, e2) = all_65_15
% 175.92/27.08 | | | | | | | | | |
% 175.92/27.08 | | | | | | | | | | REDUCE: (15512), (16837) imply:
% 175.92/27.08 | | | | | | | | | | (16849) op(e2, e2) = all_65_75
% 175.92/27.08 | | | | | | | | | |
% 175.92/27.08 | | | | | | | | | | REDUCE: (764), (16837) imply:
% 175.92/27.08 | | | | | | | | | | (16850) op(e0, e2) = all_65_78
% 175.92/27.08 | | | | | | | | | |
% 175.92/27.08 | | | | | | | | | | REDUCE: (76), (16837) imply:
% 175.92/27.08 | | | | | | | | | | (16851) op(e0, e0) = e2
% 175.92/27.08 | | | | | | | | | |
% 175.92/27.08 | | | | | | | | | | GROUND_INST: instantiating (50) with all_20_1, all_65_78, e2,
% 175.92/27.08 | | | | | | | | | | e0, simplifying with (16839), (16850) gives:
% 175.92/27.08 | | | | | | | | | | (16852) all_65_78 = all_20_1
% 175.92/27.08 | | | | | | | | | |
% 175.92/27.08 | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_13, all_65_78, e0,
% 175.92/27.08 | | | | | | | | | | e2, simplifying with (231), (16847) gives:
% 175.92/27.08 | | | | | | | | | | (16853) all_65_78 = all_61_13
% 175.92/27.08 | | | | | | | | | |
% 175.92/27.08 | | | | | | | | | | GROUND_INST: instantiating (50) with all_12_1, all_65_77, e1,
% 175.92/27.08 | | | | | | | | | | e2, simplifying with (15409), (16846) gives:
% 175.92/27.08 | | | | | | | | | | (16854) all_65_77 = all_12_1
% 175.92/27.08 | | | | | | | | | |
% 175.92/27.08 | | | | | | | | | | GROUND_INST: instantiating (50) with e1, all_65_75, e2, e2,
% 175.92/27.08 | | | | | | | | | | simplifying with (15425), (16849) gives:
% 175.92/27.08 | | | | | | | | | | (16855) all_65_75 = e1
% 175.92/27.08 | | | | | | | | | |
% 175.92/27.08 | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_1, all_65_73, e3,
% 175.92/27.08 | | | | | | | | | | e2, simplifying with (234), (16845) gives:
% 175.92/27.08 | | | | | | | | | | (16856) all_65_73 = all_61_1
% 175.92/27.08 | | | | | | | | | |
% 175.92/27.08 | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_4, all_65_15, e2,
% 175.92/27.08 | | | | | | | | | | e3, simplifying with (237), (16848) gives:
% 175.92/27.08 | | | | | | | | | | (16857) all_65_15 = all_61_4
% 175.92/27.08 | | | | | | | | | |
% 175.92/27.08 | | | | | | | | | | COMBINE_EQS: (16852), (16853) imply:
% 175.92/27.08 | | | | | | | | | | (16858) all_61_13 = all_20_1
% 175.92/27.08 | | | | | | | | | |
% 175.92/27.08 | | | | | | | | | | SIMP: (16858) implies:
% 175.92/27.08 | | | | | | | | | | (16859) all_61_13 = all_20_1
% 175.92/27.08 | | | | | | | | | |
% 175.92/27.08 | | | | | | | | | | COMBINE_EQS: (15484), (16859) imply:
% 175.92/27.08 | | | | | | | | | | (16860) all_63_13 = all_20_1
% 175.92/27.08 | | | | | | | | | |
% 175.92/27.08 | | | | | | | | | | REDUCE: (212), (16859) imply:
% 175.92/27.08 | | | | | | | | | | (16861) ~ (all_61_1 = all_20_1)
% 175.92/27.08 | | | | | | | | | |
% 175.92/27.08 | | | | | | | | | | REDUCE: (15485), (16859) imply:
% 175.92/27.08 | | | | | | | | | | (16862) ~ (all_61_3 = all_20_1)
% 175.92/27.08 | | | | | | | | | |
% 175.92/27.08 | | | | | | | | | | REDUCE: (180), (16859) imply:
% 175.92/27.08 | | | | | | | | | | (16863) ~ (all_61_12 = all_20_1)
% 175.92/27.08 | | | | | | | | | |
% 175.92/27.08 | | | | | | | | | | REDUCE: (15487), (16859) imply:
% 175.92/27.08 | | | | | | | | | | (16864) ~ (all_20_1 = all_12_1)
% 175.92/27.08 | | | | | | | | | |
% 175.92/27.08 | | | | | | | | | | REDUCE: (11654), (16859) imply:
% 175.92/27.08 | | | | | | | | | | (16865) ~ (all_20_1 = all_8_1)
% 175.92/27.08 | | | | | | | | | |
% 175.92/27.08 | | | | | | | | | | REDUCE: (16842), (16859) imply:
% 175.92/27.08 | | | | | | | | | | (16866) ~ (all_20_1 = e2)
% 175.92/27.08 | | | | | | | | | |
% 175.92/27.08 | | | | | | | | | | REDUCE: (15488), (16859) imply:
% 175.92/27.08 | | | | | | | | | | (16867) ~ (all_20_1 = e1)
% 175.92/27.08 | | | | | | | | | |
% 175.92/27.08 | | | | | | | | | | REDUCE: (649), (16857) imply:
% 175.92/27.08 | | | | | | | | | | (16868) op(all_61_12, e0) = all_61_4
% 175.92/27.08 | | | | | | | | | |
% 175.92/27.08 | | | | | | | | | | REDUCE: (15511), (16859) imply:
% 175.92/27.08 | | | | | | | | | | (16869) op(e2, all_20_1) = all_8_1
% 175.92/27.08 | | | | | | | | | |
% 175.92/27.08 | | | | | | | | | | REDUCE: (231), (16859) imply:
% 175.92/27.08 | | | | | | | | | | (16870) op(e2, e0) = all_20_1
% 175.92/27.08 | | | | | | | | | |
% 175.92/27.08 | | | | | | | | | | REDUCE: (15513), (16859) imply:
% 175.92/27.08 | | | | | | | | | | (16871) op(e1, all_20_1) = all_65_67
% 175.92/27.08 | | | | | | | | | |
% 175.92/27.08 | | | | | | | | | | REDUCE: (761), (16856) imply:
% 175.92/27.08 | | | | | | | | | | (16872) op(e0, all_61_3) = all_61_1
% 175.92/27.08 | | | | | | | | | |
% 175.92/27.08 | | | | | | | | | | BETA: splitting (101) gives:
% 175.92/27.08 | | | | | | | | | |
% 175.92/27.08 | | | | | | | | | | Case 1:
% 175.92/27.08 | | | | | | | | | | |
% 175.92/27.08 | | | | | | | | | | | (16873) ~ (all_36_2 = e0)
% 175.92/27.08 | | | | | | | | | | |
% 175.92/27.08 | | | | | | | | | | | REDUCE: (557), (16873) imply:
% 175.92/27.08 | | | | | | | | | | | (16874) ~ (all_14_2 = e0)
% 175.92/27.08 | | | | | | | | | | |
% 175.92/27.08 | | | | | | | | | | | BETA: splitting (107) gives:
% 175.92/27.08 | | | | | | | | | | |
% 175.92/27.08 | | | | | | | | | | | Case 1:
% 175.92/27.08 | | | | | | | | | | | |
% 175.92/27.08 | | | | | | | | | | | | (16875) ~ (all_40_2 = e1)
% 175.92/27.08 | | | | | | | | | | | |
% 175.92/27.08 | | | | | | | | | | | | REDUCE: (553), (16875) imply:
% 175.92/27.08 | | | | | | | | | | | | (16876) ~ (all_14_2 = e1)
% 175.92/27.08 | | | | | | | | | | | |
% 175.92/27.08 | | | | | | | | | | | | BETA: splitting (271) gives:
% 175.92/27.08 | | | | | | | | | | | |
% 175.92/27.08 | | | | | | | | | | | | Case 1:
% 175.92/27.08 | | | | | | | | | | | | |
% 175.92/27.08 | | | | | | | | | | | | | (16877) all_63_0 = e3
% 175.92/27.08 | | | | | | | | | | | | |
% 175.92/27.08 | | | | | | | | | | | | | COMBINE_EQS: (588), (16877) imply:
% 175.92/27.08 | | | | | | | | | | | | | (16878) all_14_2 = e3
% 175.92/27.08 | | | | | | | | | | | | |
% 175.92/27.08 | | | | | | | | | | | | | REDUCE: (593), (16878) imply:
% 175.92/27.08 | | | | | | | | | | | | | (16879) ~ (all_61_1 = e3)
% 175.92/27.08 | | | | | | | | | | | | |
% 175.92/27.08 | | | | | | | | | | | | | REDUCE: (595), (16878) imply:
% 175.92/27.08 | | | | | | | | | | | | | (16880) ~ (all_61_2 = e3)
% 175.92/27.08 | | | | | | | | | | | | |
% 175.92/27.08 | | | | | | | | | | | | | REDUCE: (597), (16878) imply:
% 175.92/27.08 | | | | | | | | | | | | | (16881) ~ (all_61_3 = e3)
% 175.92/27.08 | | | | | | | | | | | | |
% 175.92/27.08 | | | | | | | | | | | | | BETA: splitting (161) gives:
% 175.92/27.08 | | | | | | | | | | | | |
% 175.92/27.08 | | | | | | | | | | | | | Case 1:
% 175.92/27.08 | | | | | | | | | | | | | |
% 175.92/27.08 | | | | | | | | | | | | | | (16882) ~ (all_58_2 = e2)
% 175.92/27.08 | | | | | | | | | | | | | |
% 175.92/27.08 | | | | | | | | | | | | | | REDUCE: (478), (16882) imply:
% 175.92/27.08 | | | | | | | | | | | | | | (16883) ~ (all_52_2 = e2)
% 175.92/27.08 | | | | | | | | | | | | | |
% 175.92/27.08 | | | | | | | | | | | | | | BETA: splitting (163) gives:
% 175.92/27.08 | | | | | | | | | | | | | |
% 175.92/27.08 | | | | | | | | | | | | | | Case 1:
% 175.92/27.08 | | | | | | | | | | | | | | |
% 175.92/27.08 | | | | | | | | | | | | | | | (16884) ~ (all_58_1 = e0)
% 175.92/27.08 | | | | | | | | | | | | | | |
% 175.92/27.08 | | | | | | | | | | | | | | | REDUCE: (481), (16884) imply:
% 175.92/27.08 | | | | | | | | | | | | | | | (16885) ~ (all_52_1 = e0)
% 175.92/27.08 | | | | | | | | | | | | | | |
% 175.92/27.08 | | | | | | | | | | | | | | | BETA: splitting (160) gives:
% 175.92/27.08 | | | | | | | | | | | | | | |
% 175.92/27.08 | | | | | | | | | | | | | | | Case 1:
% 175.92/27.08 | | | | | | | | | | | | | | | |
% 175.92/27.08 | | | | | | | | | | | | | | | | (16886) ~ (all_58_2 = e0)
% 175.92/27.08 | | | | | | | | | | | | | | | |
% 175.92/27.08 | | | | | | | | | | | | | | | | REDUCE: (478), (16886) imply:
% 175.92/27.08 | | | | | | | | | | | | | | | | (16887) ~ (all_52_2 = e0)
% 175.92/27.08 | | | | | | | | | | | | | | | |
% 175.92/27.08 | | | | | | | | | | | | | | | | REF_CLOSE: (5), (50), (148), (149), (150), (162), (231),
% 175.92/27.08 | | | | | | | | | | | | | | | | (478), (484), (536), (538), (539), (628), (630),
% 175.92/27.08 | | | | | | | | | | | | | | | | (631), (632), (633), (731), (748), (765), (11622),
% 175.92/27.08 | | | | | | | | | | | | | | | | (15425), (16842), (16851), (16883), (16885),
% 175.92/27.08 | | | | | | | | | | | | | | | | (16887) are inconsistent by sub-proof #109.
% 175.92/27.08 | | | | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | | | Case 2:
% 175.92/27.09 | | | | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | | | | (16888) all_58_2 = e0
% 175.92/27.09 | | | | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | | | | COMBINE_EQS: (478), (16888) imply:
% 175.92/27.09 | | | | | | | | | | | | | | | | (16889) all_52_2 = e0
% 175.92/27.09 | | | | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | | | | REDUCE: (748), (16889) imply:
% 175.92/27.09 | | | | | | | | | | | | | | | | (16890) op(e1, e0) = unit
% 175.92/27.09 | | | | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_8_1, unit, e0, e1,
% 175.92/27.09 | | | | | | | | | | | | | | | | simplifying with (11606), (16890) gives:
% 175.92/27.09 | | | | | | | | | | | | | | | | (16891) all_8_1 = unit
% 175.92/27.09 | | | | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | | | | COMBINE_EQS: (11646), (16891) imply:
% 175.92/27.09 | | | | | | | | | | | | | | | | (16892) all_63_11 = unit
% 175.92/27.09 | | | | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | | | | REDUCE: (11648), (16891) imply:
% 175.92/27.09 | | | | | | | | | | | | | | | | (16893) ~ (all_61_3 = unit)
% 175.92/27.09 | | | | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | | | | REDUCE: (16865), (16891) imply:
% 175.92/27.09 | | | | | | | | | | | | | | | | (16894) ~ (all_20_1 = unit)
% 175.92/27.09 | | | | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | | | | REDUCE: (16844), (16891) imply:
% 175.92/27.09 | | | | | | | | | | | | | | | | (16895) ~ (unit = e2)
% 175.92/27.09 | | | | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | | | | REDUCE: (11657), (16891) imply:
% 175.92/27.09 | | | | | | | | | | | | | | | | (16896) ~ (unit = e0)
% 175.92/27.09 | | | | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | | | | BETA: splitting (260) gives:
% 175.92/27.09 | | | | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | | | | Case 1:
% 175.92/27.09 | | | | | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | | | | | (16897) all_63_11 = e3
% 175.92/27.09 | | | | | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | | | | | COMBINE_EQS: (16892), (16897) imply:
% 175.92/27.09 | | | | | | | | | | | | | | | | | (16898) unit = e3
% 175.92/27.09 | | | | | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | | | | | REDUCE: (11696), (16898) imply:
% 175.92/27.09 | | | | | | | | | | | | | | | | | (16899) $false
% 175.92/27.09 | | | | | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | | | | | CLOSE: (16899) is inconsistent.
% 175.92/27.09 | | | | | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | | | | Case 2:
% 175.92/27.09 | | | | | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | | | | | (16900) all_63_11 = e2 | all_63_11 = e1 | all_63_11 = e0
% 175.92/27.09 | | | | | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | | | | | BETA: splitting (16900) gives:
% 175.92/27.09 | | | | | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | | | | | Case 1:
% 175.92/27.09 | | | | | | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | | | | | | (16901) all_63_11 = e2
% 175.92/27.09 | | | | | | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (16892), (16901) imply:
% 175.92/27.09 | | | | | | | | | | | | | | | | | | (16902) unit = e2
% 175.92/27.09 | | | | | | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | | | | | | REDUCE: (16895), (16902) imply:
% 175.92/27.09 | | | | | | | | | | | | | | | | | | (16903) $false
% 175.92/27.09 | | | | | | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | | | | | | CLOSE: (16903) is inconsistent.
% 175.92/27.09 | | | | | | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | | | | | Case 2:
% 175.92/27.09 | | | | | | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | | | | | | (16904) all_63_11 = e1 | all_63_11 = e0
% 175.92/27.09 | | | | | | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | | | | | | BETA: splitting (16904) gives:
% 175.92/27.09 | | | | | | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | | | | | | Case 1:
% 175.92/27.09 | | | | | | | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | (16905) all_63_11 = e1
% 175.92/27.09 | | | | | | | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (16892), (16905) imply:
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | (16906) unit = e1
% 175.92/27.09 | | | | | | | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | REDUCE: (16893), (16906) imply:
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | (16907) ~ (all_61_3 = e1)
% 175.92/27.09 | | | | | | | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | BETA: splitting (259) gives:
% 175.92/27.09 | | | | | | | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | Case 1:
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | | (16908) all_63_12 = e3
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (506), (16908) imply:
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | | (16909) all_61_3 = e3
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | | REDUCE: (16881), (16909) imply:
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | | (16910) $false
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | | CLOSE: (16910) is inconsistent.
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | Case 2:
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | | (16911) all_63_12 = e2 | all_63_12 = e1 | all_63_12 = e0
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | | BETA: splitting (16911) gives:
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | | | (16912) all_63_12 = e2
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (506), (16912) imply:
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | | | (16913) all_61_3 = e2
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | | | REDUCE: (16840), (16913) imply:
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | | | (16914) $false
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | | | CLOSE: (16914) is inconsistent.
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | | | (16915) all_63_12 = e1 | all_63_12 = e0
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16915) gives:
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | | | | (16916) all_63_12 = e1
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (506), (16916) imply:
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | | | | (16917) all_61_3 = e1
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16907), (16917) imply:
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | | | | (16918) $false
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (16918) is inconsistent.
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | | | | (16919) all_63_12 = e0
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (506), (16919) imply:
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | | | | (16920) all_61_3 = e0
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (215), (16920) imply:
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | | | | (16921) ~ (all_61_1 = e0)
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16862), (16920) imply:
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | | | | (16922) ~ (all_20_1 = e0)
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | | | | SIMP: (16922) implies:
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | | | | (16923) ~ (all_20_1 = e0)
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (267) gives:
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | | | | | (16924) all_63_4 = e3
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (493), (16924) imply:
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | | | | | (16925) all_61_1 = e3
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16879), (16925) imply:
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | | | | | (16926) $false
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (16926) is inconsistent.
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | | | | | (16927) all_63_4 = e2 | all_63_4 = e1 | all_63_4 = e0
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (258) gives:
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | | | | | | (16928) all_63_13 = e3
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (16860), (16928) imply:
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | | | | | | (16929) all_20_1 = e3
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16864), (16929) imply:
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | | | | | | (16930) ~ (all_12_1 = e3)
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16930) implies:
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | | | | | | (16931) ~ (all_12_1 = e3)
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (265) gives:
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | (16932) all_63_6 = e3
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15450), (16932) imply:
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | (16933) all_12_1 = e3
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16931), (16933) imply:
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | (16934) $false
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (16934) is inconsistent.
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | (16935) all_63_6 = e2 | all_63_6 = e1 | all_63_6 = e0
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (213), (493), (497), (11613), (15413), (15417),
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | (16921), (16927), (16935) are inconsistent by
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #409.
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | | | | | | (16936) all_63_13 = e2 | all_63_13 = e1 | all_63_13 = e0
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16860), (16866), (16867), (16923), (16936) are
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #380.
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | | | End of split
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | | End of split
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | End of split
% 175.92/27.09 | | | | | | | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | | | | | | Case 2:
% 175.92/27.09 | | | | | | | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | (16937) all_63_11 = e0
% 175.92/27.09 | | | | | | | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (16892), (16937) imply:
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | (16938) unit = e0
% 175.92/27.09 | | | | | | | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | REDUCE: (16896), (16938) imply:
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | (16939) $false
% 175.92/27.09 | | | | | | | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | CLOSE: (16939) is inconsistent.
% 175.92/27.09 | | | | | | | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | | | | | | End of split
% 175.92/27.09 | | | | | | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | | | | | End of split
% 175.92/27.09 | | | | | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | | | | End of split
% 175.92/27.09 | | | | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | | | End of split
% 175.92/27.09 | | | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | | Case 2:
% 175.92/27.09 | | | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | | | (16940) all_58_3 = e2
% 175.92/27.09 | | | | | | | | | | | | | | | (16941) all_58_1 = e0
% 175.92/27.09 | | | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | | | COMBINE_EQS: (481), (16941) imply:
% 175.92/27.09 | | | | | | | | | | | | | | | (16942) all_52_1 = e0
% 175.92/27.09 | | | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | | | SIMP: (16942) implies:
% 175.92/27.09 | | | | | | | | | | | | | | | (16943) all_52_1 = e0
% 175.92/27.09 | | | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | | | COMBINE_EQS: (475), (16940) imply:
% 175.92/27.09 | | | | | | | | | | | | | | | (16944) all_52_3 = e2
% 175.92/27.09 | | | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | | | SIMP: (16944) implies:
% 175.92/27.09 | | | | | | | | | | | | | | | (16945) all_52_3 = e2
% 175.92/27.09 | | | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | | | REDUCE: (631), (16943) imply:
% 175.92/27.09 | | | | | | | | | | | | | | | (16946) ~ (all_52_2 = e0)
% 175.92/27.09 | | | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | | | SIMP: (16946) implies:
% 175.92/27.09 | | | | | | | | | | | | | | | (16947) ~ (all_52_2 = e0)
% 175.92/27.09 | | | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (50), (148), (149), (150), (162), (163),
% 175.92/27.09 | | | | | | | | | | | | | | | (231), (478), (481), (484), (536), (538), (539),
% 175.92/27.09 | | | | | | | | | | | | | | | (628), (630), (631), (632), (633), (731), (748),
% 175.92/27.09 | | | | | | | | | | | | | | | (765), (11606), (11622), (11697), (15425),
% 175.92/27.09 | | | | | | | | | | | | | | | (16842), (16851), (16866), (16867), (16869),
% 175.92/27.09 | | | | | | | | | | | | | | | (16870), (16871), (16883), (16947) are
% 175.92/27.09 | | | | | | | | | | | | | | | inconsistent by sub-proof #108.
% 175.92/27.09 | | | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | | End of split
% 175.92/27.09 | | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | Case 2:
% 175.92/27.09 | | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | | (16948) all_58_1 = e1
% 175.92/27.09 | | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | | COMBINE_EQS: (481), (16948) imply:
% 175.92/27.09 | | | | | | | | | | | | | | (16949) all_52_1 = e1
% 175.92/27.09 | | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | | SIMP: (16949) implies:
% 175.92/27.09 | | | | | | | | | | | | | | (16950) all_52_1 = e1
% 175.92/27.09 | | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | | REDUCE: (731), (16950) imply:
% 175.92/27.09 | | | | | | | | | | | | | | (16951) op(e2, e1) = unit
% 175.92/27.09 | | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_12_1, unit, e1, e2,
% 175.92/27.09 | | | | | | | | | | | | | | simplifying with (15409), (16951) gives:
% 175.92/27.09 | | | | | | | | | | | | | | (16952) all_12_1 = unit
% 175.92/27.09 | | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | | REDUCE: (15451), (16952) imply:
% 175.92/27.09 | | | | | | | | | | | | | | (16953) ~ (all_61_1 = unit)
% 175.92/27.09 | | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | | REDUCE: (15452), (16952) imply:
% 175.92/27.09 | | | | | | | | | | | | | | (16954) ~ (all_61_2 = unit)
% 175.92/27.09 | | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | | REDUCE: (15458), (16952) imply:
% 175.92/27.09 | | | | | | | | | | | | | | (16955) ~ (unit = e1)
% 175.92/27.09 | | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | | REDUCE: (15459), (16952) imply:
% 175.92/27.09 | | | | | | | | | | | | | | (16956) ~ (unit = e0)
% 175.92/27.09 | | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | | BETA: splitting (11697) gives:
% 175.92/27.09 | | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | | Case 1:
% 175.92/27.09 | | | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | | | (16957) unit = e2
% 175.92/27.09 | | | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | | | REDUCE: (16953), (16957) imply:
% 175.92/27.09 | | | | | | | | | | | | | | | (16958) ~ (all_61_1 = e2)
% 175.92/27.09 | | | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | | | REDUCE: (16954), (16957) imply:
% 175.92/27.09 | | | | | | | | | | | | | | | (16959) ~ (all_61_2 = e2)
% 175.92/27.09 | | | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | | | REF_CLOSE: (211), (215), (216), (259), (263), (267), (493),
% 175.92/27.09 | | | | | | | | | | | | | | | (499), (506), (11610), (16840), (16879), (16880),
% 175.92/27.09 | | | | | | | | | | | | | | | (16881), (16958), (16959) are inconsistent by
% 175.92/27.09 | | | | | | | | | | | | | | | sub-proof #191.
% 175.92/27.09 | | | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | | Case 2:
% 175.92/27.09 | | | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | | | (16960) unit = e1 | unit = e0
% 175.92/27.09 | | | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | | | REF_CLOSE: (16955), (16956), (16960) are inconsistent by
% 175.92/27.09 | | | | | | | | | | | | | | | sub-proof #419.
% 175.92/27.09 | | | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | | End of split
% 175.92/27.09 | | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | End of split
% 175.92/27.09 | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | Case 2:
% 175.92/27.09 | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | (16961) all_63_0 = e2 | all_63_0 = e1 | all_63_0 = e0
% 175.92/27.09 | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | REF_CLOSE: (588), (15514), (16874), (16876), (16961) are
% 175.92/27.09 | | | | | | | | | | | | | inconsistent by sub-proof #503.
% 175.92/27.09 | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | End of split
% 175.92/27.09 | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | Case 2:
% 175.92/27.09 | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | (16962) all_40_2 = e1
% 175.92/27.09 | | | | | | | | | | | | (16963) op(e3, e1) = all_40_1 & $i(all_40_1) & ( ~
% 175.92/27.09 | | | | | | | | | | | | (all_40_1 = e0) | ( ~ (all_40_0 = e2) & op(e0,
% 175.92/27.09 | | | | | | | | | | | | e3) = all_40_0 & $i(all_40_0)))
% 175.92/27.09 | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | ALPHA: (16963) implies:
% 175.92/27.09 | | | | | | | | | | | | (16964) op(e3, e1) = all_40_1
% 175.92/27.09 | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | COMBINE_EQS: (553), (16962) imply:
% 175.92/27.09 | | | | | | | | | | | | (16965) all_14_2 = e1
% 175.92/27.09 | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | SIMP: (16965) implies:
% 175.92/27.09 | | | | | | | | | | | | (16966) all_14_2 = e1
% 175.92/27.09 | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | COMBINE_EQS: (466), (16966) imply:
% 175.92/27.09 | | | | | | | | | | | | (16967) all_48_2 = e1
% 175.92/27.09 | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | REDUCE: (597), (16966) imply:
% 175.92/27.09 | | | | | | | | | | | | (16968) ~ (all_61_3 = e1)
% 175.92/27.09 | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | REDUCE: (601), (16966) imply:
% 175.92/27.09 | | | | | | | | | | | | (16969) ~ (all_61_8 = e1)
% 175.92/27.09 | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | REDUCE: (634), (16966) imply:
% 175.92/27.09 | | | | | | | | | | | | (16970) op(e1, e3) = all_65_0
% 175.92/27.09 | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | REDUCE: (636), (16966) imply:
% 175.92/27.09 | | | | | | | | | | | | (16971) op(e1, e1) = all_65_2
% 175.92/27.09 | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | REDUCE: (698), (16966) imply:
% 175.92/27.09 | | | | | | | | | | | | (16972) op(e3, e1) = all_65_0
% 175.92/27.09 | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | REDUCE: (67), (16966) imply:
% 175.92/27.09 | | | | | | | | | | | | (16973) op(e3, e3) = e1
% 175.92/27.09 | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | REDUCE: (715), (16966) imply:
% 175.92/27.09 | | | | | | | | | | | | (16974) op(e2, e1) = all_65_16
% 175.92/27.09 | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | REDUCE: (732), (16966) imply:
% 175.92/27.09 | | | | | | | | | | | | (16975) op(e1, e1) = all_65_32
% 175.92/27.09 | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | BETA: splitting (119) gives:
% 175.92/27.09 | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | Case 1:
% 175.92/27.09 | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | (16976) ~ (all_48_2 = e1)
% 175.92/27.09 | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | REDUCE: (16967), (16976) imply:
% 175.92/27.09 | | | | | | | | | | | | | (16977) $false
% 175.92/27.09 | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | CLOSE: (16977) is inconsistent.
% 175.92/27.09 | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | Case 2:
% 175.92/27.09 | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | (16978) op(e3, e1) = all_48_1 & $i(all_48_1) & ( ~
% 175.92/27.09 | | | | | | | | | | | | | (all_48_1 = e2) | ( ~ (all_48_0 = e0) & op(e2,
% 175.92/27.09 | | | | | | | | | | | | | e3) = all_48_0 & $i(all_48_0)))
% 175.92/27.09 | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | ALPHA: (16978) implies:
% 175.92/27.09 | | | | | | | | | | | | | (16979) op(e3, e1) = all_48_1
% 175.92/27.09 | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e0, all_65_2, e1, e1,
% 175.92/27.09 | | | | | | | | | | | | | simplifying with (11622), (16971) gives:
% 175.92/27.09 | | | | | | | | | | | | | (16980) all_65_2 = e0
% 175.92/27.09 | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_32, all_65_2, e1,
% 175.92/27.09 | | | | | | | | | | | | | e1, simplifying with (16971), (16975) gives:
% 175.92/27.09 | | | | | | | | | | | | | (16981) all_65_2 = all_65_32
% 175.92/27.09 | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_2, all_65_0, e3,
% 175.92/27.09 | | | | | | | | | | | | | e1, simplifying with (230), (16970) gives:
% 175.92/27.09 | | | | | | | | | | | | | (16982) all_65_0 = all_61_2
% 175.92/27.09 | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_12_1, all_65_16, e1,
% 175.92/27.09 | | | | | | | | | | | | | e2, simplifying with (15409), (16974) gives:
% 175.92/27.09 | | | | | | | | | | | | | (16983) all_65_16 = all_12_1
% 175.92/27.09 | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_8, all_48_1, e1,
% 175.92/27.09 | | | | | | | | | | | | | e3, simplifying with (236), (16979) gives:
% 175.92/27.09 | | | | | | | | | | | | | (16984) all_61_8 = all_48_1
% 175.92/27.09 | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_8, all_65_0, e1,
% 175.92/27.09 | | | | | | | | | | | | | e3, simplifying with (236), (16972) gives:
% 175.92/27.09 | | | | | | | | | | | | | (16985) all_65_0 = all_61_8
% 175.92/27.09 | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_40_1, all_65_0, e1,
% 175.92/27.09 | | | | | | | | | | | | | e3, simplifying with (16964), (16972) gives:
% 175.92/27.09 | | | | | | | | | | | | | (16986) all_65_0 = all_40_1
% 175.92/27.09 | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | COMBINE_EQS: (16982), (16986) imply:
% 175.92/27.09 | | | | | | | | | | | | | (16987) all_61_2 = all_40_1
% 175.92/27.09 | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | SIMP: (16987) implies:
% 175.92/27.09 | | | | | | | | | | | | | (16988) all_61_2 = all_40_1
% 175.92/27.09 | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | COMBINE_EQS: (16985), (16986) imply:
% 175.92/27.09 | | | | | | | | | | | | | (16989) all_61_8 = all_40_1
% 175.92/27.09 | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | SIMP: (16989) implies:
% 175.92/27.09 | | | | | | | | | | | | | (16990) all_61_8 = all_40_1
% 175.92/27.09 | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | COMBINE_EQS: (16980), (16981) imply:
% 175.92/27.09 | | | | | | | | | | | | | (16991) all_65_32 = e0
% 175.92/27.09 | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | COMBINE_EQS: (16984), (16990) imply:
% 175.92/27.09 | | | | | | | | | | | | | (16992) all_48_1 = all_40_1
% 175.92/27.09 | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | SIMP: (16992) implies:
% 175.92/27.09 | | | | | | | | | | | | | (16993) all_48_1 = all_40_1
% 175.92/27.09 | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | COMBINE_EQS: (499), (16988) imply:
% 175.92/27.09 | | | | | | | | | | | | | (16994) all_63_8 = all_40_1
% 175.92/27.09 | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | COMBINE_EQS: (489), (16990) imply:
% 175.92/27.09 | | | | | | | | | | | | | (16995) all_63_2 = all_40_1
% 175.92/27.09 | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | REDUCE: (216), (16988) imply:
% 175.92/27.09 | | | | | | | | | | | | | (16996) ~ (all_61_1 = all_40_1)
% 175.92/27.09 | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | REDUCE: (211), (16988) imply:
% 175.92/27.09 | | | | | | | | | | | | | (16997) ~ (all_61_3 = all_40_1)
% 175.92/27.09 | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | SIMP: (16997) implies:
% 175.92/27.09 | | | | | | | | | | | | | (16998) ~ (all_61_3 = all_40_1)
% 175.92/27.09 | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | REDUCE: (15456), (16990) imply:
% 175.92/27.09 | | | | | | | | | | | | | (16999) ~ (all_40_1 = all_12_1)
% 175.92/27.09 | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | REDUCE: (16969), (16990) imply:
% 175.92/27.09 | | | | | | | | | | | | | (17000) ~ (all_40_1 = e1)
% 175.92/27.09 | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | REDUCE: (11612), (16990) imply:
% 175.92/27.09 | | | | | | | | | | | | | (17001) ~ (all_40_1 = e0)
% 175.92/27.09 | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | REDUCE: (650), (16983) imply:
% 175.92/27.09 | | | | | | | | | | | | | (17002) op(all_61_1, e3) = all_12_1
% 175.92/27.09 | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | REDUCE: (668), (16988) imply:
% 175.92/27.09 | | | | | | | | | | | | | (17003) op(all_40_1, e1) = all_65_34
% 175.92/27.09 | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | REDUCE: (15460), (16990) imply:
% 175.92/27.09 | | | | | | | | | | | | | (17004) op(all_61_4, e2) = all_40_1
% 175.92/27.09 | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | REDUCE: (11658), (16990) imply:
% 175.92/27.09 | | | | | | | | | | | | | (17005) op(all_40_1, e1) = all_61_12
% 175.92/27.09 | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | REDUCE: (11672), (16988) imply:
% 175.92/27.09 | | | | | | | | | | | | | (17006) op(e1, all_40_1) = all_61_3
% 175.92/27.09 | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | REDUCE: (734), (16990) imply:
% 175.92/27.09 | | | | | | | | | | | | | (17007) op(e1, all_40_1) = all_65_34
% 175.92/27.09 | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_3, all_65_34,
% 175.92/27.09 | | | | | | | | | | | | | all_40_1, e1, simplifying with (17006), (17007)
% 175.92/27.09 | | | | | | | | | | | | | gives:
% 175.92/27.09 | | | | | | | | | | | | | (17008) all_65_34 = all_61_3
% 175.92/27.09 | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_12, all_65_34, e1,
% 175.92/27.09 | | | | | | | | | | | | | all_40_1, simplifying with (17003), (17005) gives:
% 175.92/27.09 | | | | | | | | | | | | | (17009) all_65_34 = all_61_12
% 175.92/27.09 | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | COMBINE_EQS: (17008), (17009) imply:
% 175.92/27.09 | | | | | | | | | | | | | (17010) all_61_3 = all_61_12
% 175.92/27.09 | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | SIMP: (17010) implies:
% 175.92/27.09 | | | | | | | | | | | | | (17011) all_61_3 = all_61_12
% 175.92/27.09 | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | COMBINE_EQS: (506), (17011) imply:
% 175.92/27.09 | | | | | | | | | | | | | (17012) all_63_12 = all_61_12
% 175.92/27.09 | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | REDUCE: (215), (17011) imply:
% 175.92/27.09 | | | | | | | | | | | | | (17013) ~ (all_61_1 = all_61_12)
% 175.92/27.09 | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | REDUCE: (16998), (17011) imply:
% 175.92/27.09 | | | | | | | | | | | | | (17014) ~ (all_61_12 = all_40_1)
% 175.92/27.09 | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | REDUCE: (16968), (17011) imply:
% 175.92/27.09 | | | | | | | | | | | | | (17015) ~ (all_61_12 = e1)
% 175.92/27.09 | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | REDUCE: (685), (17011) imply:
% 175.92/27.09 | | | | | | | | | | | | | (17016) op(all_61_12, e0) = all_65_55
% 175.92/27.09 | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | REDUCE: (16872), (17011) imply:
% 175.92/27.09 | | | | | | | | | | | | | (17017) op(e0, all_61_12) = all_61_1
% 175.92/27.09 | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_55, all_61_1,
% 175.92/27.09 | | | | | | | | | | | | | all_61_12, e0, simplifying with (752), (17017)
% 175.92/27.09 | | | | | | | | | | | | | gives:
% 175.92/27.09 | | | | | | | | | | | | | (17018) all_65_55 = all_61_1
% 175.92/27.09 | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_4, all_65_55, e0,
% 175.92/27.09 | | | | | | | | | | | | | all_61_12, simplifying with (16868), (17016)
% 175.92/27.09 | | | | | | | | | | | | | gives:
% 175.92/27.09 | | | | | | | | | | | | | (17019) all_65_55 = all_61_4
% 175.92/27.09 | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | COMBINE_EQS: (17018), (17019) imply:
% 175.92/27.09 | | | | | | | | | | | | | (17020) all_61_1 = all_61_4
% 175.92/27.09 | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | SIMP: (17020) implies:
% 175.92/27.09 | | | | | | | | | | | | | (17021) all_61_1 = all_61_4
% 175.92/27.09 | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | COMBINE_EQS: (493), (17021) imply:
% 175.92/27.09 | | | | | | | | | | | | | (17022) all_63_4 = all_61_4
% 175.92/27.09 | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | REDUCE: (16996), (17021) imply:
% 175.92/27.09 | | | | | | | | | | | | | (17023) ~ (all_61_4 = all_40_1)
% 175.92/27.09 | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | REDUCE: (16861), (17021) imply:
% 175.92/27.09 | | | | | | | | | | | | | (17024) ~ (all_61_4 = all_20_1)
% 175.92/27.09 | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | REDUCE: (17002), (17021) imply:
% 175.92/27.09 | | | | | | | | | | | | | (17025) op(all_61_4, e3) = all_12_1
% 175.92/27.09 | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | REDUCE: (651), (17021) imply:
% 175.92/27.09 | | | | | | | | | | | | | (17026) op(all_61_4, e2) = all_65_17
% 175.92/27.09 | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_40_1, all_65_17, e2,
% 175.92/27.09 | | | | | | | | | | | | | all_61_4, simplifying with (17004), (17026) gives:
% 175.92/27.09 | | | | | | | | | | | | | (17027) all_65_17 = all_40_1
% 175.92/27.09 | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_4, all_12_1, e3,
% 175.92/27.09 | | | | | | | | | | | | | all_61_4, simplifying with (638), (17025) gives:
% 175.92/27.09 | | | | | | | | | | | | | (17028) all_65_4 = all_12_1
% 175.92/27.09 | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | BETA: splitting (161) gives:
% 175.92/27.09 | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | Case 1:
% 175.92/27.09 | | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | | (17029) ~ (all_58_2 = e2)
% 175.92/27.09 | | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | | REDUCE: (478), (17029) imply:
% 175.92/27.09 | | | | | | | | | | | | | | (17030) ~ (all_52_2 = e2)
% 175.92/27.09 | | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | | BETA: splitting (165) gives:
% 175.92/27.09 | | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | | Case 1:
% 175.92/27.09 | | | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | | | (17031) ~ (all_58_1 = e3)
% 175.92/27.09 | | | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | | | REDUCE: (481), (17031) imply:
% 175.92/27.09 | | | | | | | | | | | | | | | (17032) ~ (all_52_1 = e3)
% 175.92/27.09 | | | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | | | BETA: splitting (168) gives:
% 175.92/27.09 | | | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | | | Case 1:
% 175.92/27.09 | | | | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | | | | (17033) ~ (all_58_0 = e2)
% 175.92/27.09 | | | | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | | | | REDUCE: (484), (17033) imply:
% 175.92/27.09 | | | | | | | | | | | | | | | | (17034) ~ (all_52_0 = e2)
% 175.92/27.09 | | | | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | | | | BETA: splitting (159) gives:
% 175.92/27.09 | | | | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | | | | Case 1:
% 175.92/27.09 | | | | | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | | | | | (17035) ~ (all_58_3 = e3)
% 175.92/27.09 | | | | | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | | | | | REDUCE: (475), (17035) imply:
% 175.92/27.09 | | | | | | | | | | | | | | | | | (17036) ~ (all_52_3 = e3)
% 175.92/27.09 | | | | | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | | | | | BETA: splitting (166) gives:
% 175.92/27.09 | | | | | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | | | | | Case 1:
% 175.92/27.09 | | | | | | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | | | | | | (17037) ~ (all_58_0 = e0)
% 175.92/27.09 | | | | | | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | | | | | | REDUCE: (484), (17037) imply:
% 175.92/27.09 | | | | | | | | | | | | | | | | | | (17038) ~ (all_52_0 = e0)
% 175.92/27.09 | | | | | | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | | | | | | BETA: splitting (162) gives:
% 175.92/27.09 | | | | | | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | | | | | | Case 1:
% 175.92/27.09 | | | | | | | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | (17039) ~ (all_58_2 = e3)
% 175.92/27.09 | | | | | | | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | REDUCE: (478), (17039) imply:
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | (17040) ~ (all_52_2 = e3)
% 175.92/27.09 | | | | | | | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (18), (50), (151), (167), (478), (484),
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | (534), (714), (11622), (16973), (17034), (17038),
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | (17040) are inconsistent by sub-proof #123.
% 175.92/27.09 | | | | | | | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | | | | | | Case 2:
% 175.92/27.09 | | | | | | | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | (17041) all_58_0 = e1
% 175.92/27.09 | | | | | | | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (484), (17041) imply:
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | (17042) all_52_0 = e1
% 175.92/27.09 | | | | | | | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | SIMP: (17042) implies:
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | (17043) all_52_0 = e1
% 175.92/27.09 | | | | | | | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | REDUCE: (714), (17043) imply:
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | (17044) op(e3, e1) = unit
% 175.92/27.09 | | | | | | | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_40_1, unit, e1, e3,
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | simplifying with (16964), (17044) gives:
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | (17045) all_40_1 = unit
% 175.92/27.09 | | | | | | | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (16995), (17045) imply:
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | (17046) all_63_2 = unit
% 175.92/27.09 | | | | | | | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | REDUCE: (17023), (17045) imply:
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | (17047) ~ (all_61_4 = unit)
% 175.92/27.09 | | | | | | | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | REDUCE: (16999), (17045) imply:
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | (17048) ~ (all_12_1 = unit)
% 175.92/27.09 | | | | | | | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | SIMP: (17048) implies:
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | (17049) ~ (all_12_1 = unit)
% 175.92/27.09 | | | | | | | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | BETA: splitting (269) gives:
% 175.92/27.09 | | | | | | | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | Case 1:
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | | (17050) all_63_2 = e3
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (17046), (17050) imply:
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | | (17051) unit = e3
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | | REDUCE: (11696), (17051) imply:
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | | (17052) $false
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | | CLOSE: (17052) is inconsistent.
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | Case 2:
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | | (17053) all_63_2 = e2 | all_63_2 = e1 | all_63_2 = e0
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | | BETA: splitting (17053) gives:
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | | | (17054) all_63_2 = e2
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (17046), (17054) imply:
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | | | (17055) unit = e2
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | | | REDUCE: (17047), (17055) imply:
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | | | (17056) ~ (all_61_4 = e2)
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | | | REDUCE: (17049), (17055) imply:
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | | | (17057) ~ (all_12_1 = e2)
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (265) gives:
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | | | | (17058) all_63_6 = e3
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15450), (17058) imply:
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | | | | (17059) all_12_1 = e3
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15453), (17059) imply:
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | | | | (17060) ~ (all_61_4 = e3)
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16864), (17059) imply:
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | | | | (17061) ~ (all_20_1 = e3)
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (258), (267), (15414), (16860), (16866), (16867),
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | | | | (17022), (17024), (17056), (17060), (17061) are
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #144.
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | | | | (17062) all_63_6 = e2 | all_63_6 = e1 | all_63_6 = e0
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (497), (11613), (15417), (15450), (17057), (17062)
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #125.
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | | | End of split
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | | | (17063) all_63_2 = e1 | all_63_2 = e0
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (489), (11612), (16969), (17063) are inconsistent
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | | | by sub-proof #402.
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | | End of split
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | | | | | | | End of split
% 175.92/27.09 | | | | | | | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | | | | | | End of split
% 175.92/27.09 | | | | | | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | | | | | Case 2:
% 175.92/27.09 | | | | | | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | | | | | | (17064) all_58_3 = e3
% 175.92/27.09 | | | | | | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | | | | | | REF_CLOSE: (475), (17036), (17064) are inconsistent by
% 175.92/27.09 | | | | | | | | | | | | | | | | | | sub-proof #509.
% 175.92/27.09 | | | | | | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | | | | | End of split
% 175.92/27.09 | | | | | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | | | | Case 2:
% 175.92/27.09 | | | | | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | | | | | (17065) all_58_3 = e3
% 175.92/27.09 | | | | | | | | | | | | | | | | | (17066) all_58_0 = e0
% 175.92/27.09 | | | | | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | | | | | COMBINE_EQS: (484), (17066) imply:
% 175.92/27.09 | | | | | | | | | | | | | | | | | (17067) all_52_0 = e0
% 175.92/27.09 | | | | | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | | | | | SIMP: (17067) implies:
% 175.92/27.09 | | | | | | | | | | | | | | | | | (17068) all_52_0 = e0
% 175.92/27.09 | | | | | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | | | | | COMBINE_EQS: (475), (17065) imply:
% 175.92/27.09 | | | | | | | | | | | | | | | | | (17069) all_52_3 = e3
% 175.92/27.09 | | | | | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | | | | | REDUCE: (629), (17068) imply:
% 175.92/27.09 | | | | | | | | | | | | | | | | | (17070) ~ (all_52_2 = e0)
% 175.92/27.09 | | | | | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | | | | | SIMP: (17070) implies:
% 175.92/27.09 | | | | | | | | | | | | | | | | | (17071) ~ (all_52_2 = e0)
% 175.92/27.09 | | | | | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | | | | | REDUCE: (17034), (17068) imply:
% 175.92/27.09 | | | | | | | | | | | | | | | | | (17072) ~ (e2 = e0)
% 175.92/27.09 | | | | | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | | | | | REDUCE: (633), (17069) imply:
% 175.92/27.09 | | | | | | | | | | | | | | | | | (17073) ~ (all_52_2 = e3)
% 175.92/27.09 | | | | | | | | | | | | | | | | |
% 175.92/27.09 | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (19), (50), (149), (538), (748), (11622),
% 175.92/27.09 | | | | | | | | | | | | | | | | | (16851), (17030), (17071), (17073) are
% 175.92/27.09 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #146.
% 175.92/27.09 | | | | | | | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | | | | | | End of split
% 175.92/27.10 | | | | | | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | | | | | Case 2:
% 175.92/27.10 | | | | | | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | | | | | | (17074) all_58_1 = e3
% 175.92/27.10 | | | | | | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | | | | | | REF_CLOSE: (481), (17032), (17074) are inconsistent by
% 175.92/27.10 | | | | | | | | | | | | | | | | sub-proof #511.
% 175.92/27.10 | | | | | | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | | | | | End of split
% 175.92/27.10 | | | | | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | | | | Case 2:
% 175.92/27.10 | | | | | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | | | | | (17075) all_58_0 = e2
% 175.92/27.10 | | | | | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | | | | | COMBINE_EQS: (484), (17075) imply:
% 175.92/27.10 | | | | | | | | | | | | | | | (17076) all_52_0 = e2
% 175.92/27.10 | | | | | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | | | | | SIMP: (17076) implies:
% 175.92/27.10 | | | | | | | | | | | | | | | (17077) all_52_0 = e2
% 175.92/27.10 | | | | | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | | | | | REDUCE: (714), (17077) imply:
% 175.92/27.10 | | | | | | | | | | | | | | | (17078) op(e3, e2) = unit
% 175.92/27.10 | | | | | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_4, unit, e2, e3,
% 175.92/27.10 | | | | | | | | | | | | | | | simplifying with (237), (17078) gives:
% 175.92/27.10 | | | | | | | | | | | | | | | (17079) all_61_4 = unit
% 175.92/27.10 | | | | | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | | | | | REDUCE: (17023), (17079) imply:
% 175.92/27.10 | | | | | | | | | | | | | | | (17080) ~ (all_40_1 = unit)
% 175.92/27.10 | | | | | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | | | | | SIMP: (17080) implies:
% 175.92/27.10 | | | | | | | | | | | | | | | (17081) ~ (all_40_1 = unit)
% 175.92/27.10 | | | | | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | | | | | REDUCE: (17024), (17079) imply:
% 175.92/27.10 | | | | | | | | | | | | | | | (17082) ~ (all_20_1 = unit)
% 175.92/27.10 | | | | | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | | | | | SIMP: (17082) implies:
% 175.92/27.10 | | | | | | | | | | | | | | | (17083) ~ (all_20_1 = unit)
% 175.92/27.10 | | | | | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | | | | | REDUCE: (15414), (17079) imply:
% 175.92/27.10 | | | | | | | | | | | | | | | (17084) ~ (unit = e1)
% 175.92/27.10 | | | | | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | | | | | REDUCE: (17025), (17079) imply:
% 175.92/27.10 | | | | | | | | | | | | | | | (17085) op(unit, e3) = all_12_1
% 175.92/27.10 | | | | | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | | | | | REDUCE: (17004), (17079) imply:
% 175.92/27.10 | | | | | | | | | | | | | | | (17086) op(unit, e2) = all_40_1
% 175.92/27.10 | | | | | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e2, all_40_1, e2, unit,
% 175.92/27.10 | | | | | | | | | | | | | | | simplifying with (9), (17086) gives:
% 175.92/27.10 | | | | | | | | | | | | | | | (17087) all_40_1 = e2
% 175.92/27.10 | | | | | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e3, all_12_1, e3, unit,
% 175.92/27.10 | | | | | | | | | | | | | | | simplifying with (10), (17085) gives:
% 175.92/27.10 | | | | | | | | | | | | | | | (17088) all_12_1 = e3
% 175.92/27.10 | | | | | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | | | | | REDUCE: (17081), (17087) imply:
% 175.92/27.10 | | | | | | | | | | | | | | | (17089) ~ (unit = e2)
% 175.92/27.10 | | | | | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | | | | | SIMP: (17089) implies:
% 175.92/27.10 | | | | | | | | | | | | | | | (17090) ~ (unit = e2)
% 175.92/27.10 | | | | | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | | | | | REDUCE: (16864), (17088) imply:
% 175.92/27.10 | | | | | | | | | | | | | | | (17091) ~ (all_20_1 = e3)
% 175.92/27.10 | | | | | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | | | | | BETA: splitting (11697) gives:
% 175.92/27.10 | | | | | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | | | | | Case 1:
% 175.92/27.10 | | | | | | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | | | | | | (17092) unit = e2
% 175.92/27.10 | | | | | | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | | | | | | REDUCE: (17090), (17092) imply:
% 175.92/27.10 | | | | | | | | | | | | | | | | (17093) $false
% 175.92/27.10 | | | | | | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | | | | | | CLOSE: (17093) is inconsistent.
% 175.92/27.10 | | | | | | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | | | | | Case 2:
% 175.92/27.10 | | | | | | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | | | | | | (17094) unit = e1 | unit = e0
% 175.92/27.10 | | | | | | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | | | | | | BETA: splitting (17094) gives:
% 175.92/27.10 | | | | | | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | | | | | | Case 1:
% 175.92/27.10 | | | | | | | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | | | | | | | (17095) unit = e1
% 175.92/27.10 | | | | | | | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | | | | | | | REDUCE: (17084), (17095) imply:
% 175.92/27.10 | | | | | | | | | | | | | | | | | (17096) $false
% 175.92/27.10 | | | | | | | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | | | | | | | CLOSE: (17096) is inconsistent.
% 175.92/27.10 | | | | | | | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | | | | | | Case 2:
% 175.92/27.10 | | | | | | | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | | | | | | | (17097) unit = e0
% 175.92/27.10 | | | | | | | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | | | | | | | REDUCE: (17083), (17097) imply:
% 175.92/27.10 | | | | | | | | | | | | | | | | | (17098) ~ (all_20_1 = e0)
% 175.92/27.10 | | | | | | | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | | | | | | | REF_CLOSE: (258), (16860), (16866), (16867), (17091), (17098)
% 175.92/27.10 | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #379.
% 175.92/27.10 | | | | | | | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | | | | | | End of split
% 175.92/27.10 | | | | | | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | | | | | End of split
% 175.92/27.10 | | | | | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | | | | End of split
% 175.92/27.10 | | | | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | | | Case 2:
% 175.92/27.10 | | | | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | | | | (17099) all_58_1 = e1
% 175.92/27.10 | | | | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | | | | COMBINE_EQS: (481), (17099) imply:
% 175.92/27.10 | | | | | | | | | | | | | | (17100) all_52_1 = e1
% 175.92/27.10 | | | | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | | | | SIMP: (17100) implies:
% 175.92/27.10 | | | | | | | | | | | | | | (17101) all_52_1 = e1
% 175.92/27.10 | | | | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | | | | REDUCE: (731), (17101) imply:
% 175.92/27.10 | | | | | | | | | | | | | | (17102) op(e2, e1) = unit
% 175.92/27.10 | | | | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_12_1, unit, e1, e2,
% 175.92/27.10 | | | | | | | | | | | | | | simplifying with (15409), (17102) gives:
% 175.92/27.10 | | | | | | | | | | | | | | (17103) all_12_1 = unit
% 175.92/27.10 | | | | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | | | | COMBINE_EQS: (15449), (17103) imply:
% 175.92/27.10 | | | | | | | | | | | | | | (17104) all_63_9 = unit
% 175.92/27.10 | | | | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | | | | REDUCE: (15453), (17103) imply:
% 175.92/27.10 | | | | | | | | | | | | | | (17105) ~ (all_61_4 = unit)
% 175.92/27.10 | | | | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | | | | REDUCE: (16999), (17103) imply:
% 175.92/27.10 | | | | | | | | | | | | | | (17106) ~ (all_40_1 = unit)
% 175.92/27.10 | | | | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | | | | BETA: splitting (262) gives:
% 175.92/27.10 | | | | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | | | | Case 1:
% 175.92/27.10 | | | | | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | | | | | (17107) all_63_9 = e3
% 175.92/27.10 | | | | | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | | | | | COMBINE_EQS: (17104), (17107) imply:
% 175.92/27.10 | | | | | | | | | | | | | | | (17108) unit = e3
% 175.92/27.10 | | | | | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | | | | | REDUCE: (11696), (17108) imply:
% 175.92/27.10 | | | | | | | | | | | | | | | (17109) $false
% 175.92/27.10 | | | | | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | | | | | CLOSE: (17109) is inconsistent.
% 175.92/27.10 | | | | | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | | | | Case 2:
% 175.92/27.10 | | | | | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | | | | | (17110) all_63_9 = e2 | all_63_9 = e1 | all_63_9 = e0
% 175.92/27.10 | | | | | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | | | | | BETA: splitting (17110) gives:
% 175.92/27.10 | | | | | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | | | | | Case 1:
% 175.92/27.10 | | | | | | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | | | | | | (17111) all_63_9 = e2
% 175.92/27.10 | | | | | | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | | | | | | COMBINE_EQS: (17104), (17111) imply:
% 175.92/27.10 | | | | | | | | | | | | | | | | (17112) unit = e2
% 175.92/27.10 | | | | | | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | | | | | | REDUCE: (17105), (17112) imply:
% 175.92/27.10 | | | | | | | | | | | | | | | | (17113) ~ (all_61_4 = e2)
% 175.92/27.10 | | | | | | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | | | | | | REDUCE: (17106), (17112) imply:
% 175.92/27.10 | | | | | | | | | | | | | | | | (17114) ~ (all_40_1 = e2)
% 175.92/27.10 | | | | | | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | | | | | | BETA: splitting (269) gives:
% 175.92/27.10 | | | | | | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | | | | | | Case 1:
% 175.92/27.10 | | | | | | | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | | | | | | | (17115) all_63_2 = e3
% 175.92/27.10 | | | | | | | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | | | | | | | COMBINE_EQS: (16995), (17115) imply:
% 175.92/27.10 | | | | | | | | | | | | | | | | | (17116) all_40_1 = e3
% 175.92/27.10 | | | | | | | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | | | | | | | REDUCE: (17023), (17116) imply:
% 175.92/27.10 | | | | | | | | | | | | | | | | | (17117) ~ (all_61_4 = e3)
% 175.92/27.10 | | | | | | | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | | | | | | | REDUCE: (17014), (17116) imply:
% 175.92/27.10 | | | | | | | | | | | | | | | | | (17118) ~ (all_61_12 = e3)
% 175.92/27.10 | | | | | | | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | | | | | | | BETA: splitting (259) gives:
% 175.92/27.10 | | | | | | | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | | | | | | | Case 1:
% 175.92/27.10 | | | | | | | | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | | | | | | | | (17119) all_63_12 = e3
% 175.92/27.10 | | | | | | | | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (17012), (17119) imply:
% 175.92/27.10 | | | | | | | | | | | | | | | | | | (17120) all_61_12 = e3
% 175.92/27.10 | | | | | | | | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | | | | | | | | REDUCE: (17118), (17120) imply:
% 175.92/27.10 | | | | | | | | | | | | | | | | | | (17121) $false
% 175.92/27.10 | | | | | | | | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | | | | | | | | CLOSE: (17121) is inconsistent.
% 175.92/27.10 | | | | | | | | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | | | | | | | Case 2:
% 175.92/27.10 | | | | | | | | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | | | | | | | | (17122) all_63_12 = e2 | all_63_12 = e1 | all_63_12 = e0
% 175.92/27.10 | | | | | | | | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | | | | | | | | BETA: splitting (17122) gives:
% 175.92/27.10 | | | | | | | | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | | | | | | | | Case 1:
% 175.92/27.10 | | | | | | | | | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | | | | | | | | | (17123) all_63_12 = e2
% 175.92/27.10 | | | | | | | | | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (17012), (17123) imply:
% 175.92/27.10 | | | | | | | | | | | | | | | | | | | (17124) all_61_12 = e2
% 175.92/27.10 | | | | | | | | | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | | | | | | | | | REDUCE: (16841), (17124) imply:
% 175.92/27.10 | | | | | | | | | | | | | | | | | | | (17125) $false
% 175.92/27.10 | | | | | | | | | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | | | | | | | | | CLOSE: (17125) is inconsistent.
% 175.92/27.10 | | | | | | | | | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | | | | | | | | Case 2:
% 175.92/27.10 | | | | | | | | | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | | | | | | | | | (17126) all_63_12 = e1 | all_63_12 = e0
% 175.92/27.10 | | | | | | | | | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | | | | | | | | | BETA: splitting (270) gives:
% 175.92/27.10 | | | | | | | | | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | | | | | | | | | Case 1:
% 175.92/27.10 | | | | | | | | | | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | | | | | | | | | | (17127) all_63_1 = e3
% 175.92/27.10 | | | | | | | | | | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (488), (17127) imply:
% 175.92/27.10 | | | | | | | | | | | | | | | | | | | | (17128) all_61_4 = e3
% 175.92/27.10 | | | | | | | | | | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | | | | | | | | | | REDUCE: (17117), (17128) imply:
% 175.92/27.10 | | | | | | | | | | | | | | | | | | | | (17129) $false
% 175.92/27.10 | | | | | | | | | | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | | | | | | | | | | CLOSE: (17129) is inconsistent.
% 175.92/27.10 | | | | | | | | | | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | | | | | | | | | Case 2:
% 175.92/27.10 | | | | | | | | | | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | | | | | | | | | | (17130) all_63_1 = e2 | all_63_1 = e1 | all_63_1 = e0
% 175.92/27.10 | | | | | | | | | | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (200), (488), (15414), (17012), (17015), (17113),
% 175.92/27.10 | | | | | | | | | | | | | | | | | | | | (17126), (17130) are inconsistent by sub-proof
% 175.92/27.10 | | | | | | | | | | | | | | | | | | | | #107.
% 175.92/27.10 | | | | | | | | | | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | | | | | | | | | End of split
% 175.92/27.10 | | | | | | | | | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | | | | | | | | End of split
% 175.92/27.10 | | | | | | | | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | | | | | | | End of split
% 175.92/27.10 | | | | | | | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | | | | | | Case 2:
% 175.92/27.10 | | | | | | | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | | | | | | | (17131) ~ (all_63_2 = e3)
% 175.92/27.10 | | | | | | | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | | | | | | | REDUCE: (16995), (17131) imply:
% 175.92/27.10 | | | | | | | | | | | | | | | | | (17132) ~ (all_40_1 = e3)
% 175.92/27.10 | | | | | | | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | | | | | | | REF_CLOSE: (263), (16994), (17000), (17001), (17114), (17132)
% 175.92/27.10 | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #432.
% 175.92/27.10 | | | | | | | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | | | | | | End of split
% 175.92/27.10 | | | | | | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | | | | | Case 2:
% 175.92/27.10 | | | | | | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | | | | | | (17133) all_63_9 = e1 | all_63_9 = e0
% 175.92/27.10 | | | | | | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | | | | | | REF_CLOSE: (501), (11611), (15415), (17133) are inconsistent
% 175.92/27.10 | | | | | | | | | | | | | | | | by sub-proof #367.
% 175.92/27.10 | | | | | | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | | | | | End of split
% 175.92/27.10 | | | | | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | | | | End of split
% 175.92/27.10 | | | | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | | | End of split
% 175.92/27.10 | | | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | | End of split
% 175.92/27.10 | | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | End of split
% 175.92/27.10 | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | Case 2:
% 175.92/27.10 | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | (17134) all_36_2 = e0
% 175.92/27.10 | | | | | | | | | | | (17135) op(e3, e0) = all_36_1 & $i(all_36_1) & ( ~
% 175.92/27.10 | | | | | | | | | | | (all_36_1 = e2) | ( ~ (all_36_0 = e1) & op(e2,
% 175.92/27.10 | | | | | | | | | | | e3) = all_36_0 & $i(all_36_0)))
% 175.92/27.10 | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | ALPHA: (17135) implies:
% 175.92/27.10 | | | | | | | | | | | (17136) op(e3, e0) = all_36_1
% 175.92/27.10 | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | COMBINE_EQS: (557), (17134) imply:
% 175.92/27.10 | | | | | | | | | | | (17137) all_14_2 = e0
% 175.92/27.10 | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | SIMP: (17137) implies:
% 175.92/27.10 | | | | | | | | | | | (17138) all_14_2 = e0
% 175.92/27.10 | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | REDUCE: (593), (17138) imply:
% 175.92/27.10 | | | | | | | | | | | (17139) ~ (all_61_1 = e0)
% 175.92/27.10 | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | REDUCE: (603), (17138) imply:
% 175.92/27.10 | | | | | | | | | | | (17140) ~ (all_61_12 = e0)
% 175.92/27.10 | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | REDUCE: (634), (17138) imply:
% 175.92/27.10 | | | | | | | | | | | (17141) op(e0, e3) = all_65_0
% 175.92/27.10 | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | REDUCE: (637), (17138) imply:
% 175.92/27.10 | | | | | | | | | | | (17142) op(e0, e0) = all_65_3
% 175.92/27.10 | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | REDUCE: (698), (17138) imply:
% 175.92/27.10 | | | | | | | | | | | (17143) op(e3, e0) = all_65_0
% 175.92/27.10 | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | REDUCE: (715), (17138) imply:
% 175.92/27.10 | | | | | | | | | | | (17144) op(e2, e0) = all_65_16
% 175.92/27.10 | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | REDUCE: (732), (17138) imply:
% 175.92/27.10 | | | | | | | | | | | (17145) op(e1, e0) = all_65_32
% 175.92/27.10 | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | REDUCE: (749), (17138) imply:
% 175.92/27.10 | | | | | | | | | | | (17146) op(e0, e0) = all_65_49
% 175.92/27.10 | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | GROUND_INST: instantiating (50) with e2, all_65_3, e0, e0,
% 175.92/27.10 | | | | | | | | | | | simplifying with (16851), (17142) gives:
% 175.92/27.10 | | | | | | | | | | | (17147) all_65_3 = e2
% 175.92/27.10 | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_49, all_65_3, e0,
% 175.92/27.10 | | | | | | | | | | | e0, simplifying with (17142), (17146) gives:
% 175.92/27.10 | | | | | | | | | | | (17148) all_65_3 = all_65_49
% 175.92/27.10 | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_3, all_65_0, e3,
% 175.92/27.10 | | | | | | | | | | | e0, simplifying with (226), (17141) gives:
% 175.92/27.10 | | | | | | | | | | | (17149) all_65_0 = all_61_3
% 175.92/27.10 | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | GROUND_INST: instantiating (50) with all_8_1, all_65_32, e0,
% 175.92/27.10 | | | | | | | | | | | e1, simplifying with (11606), (17145) gives:
% 175.92/27.10 | | | | | | | | | | | (17150) all_65_32 = all_8_1
% 175.92/27.10 | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | GROUND_INST: instantiating (50) with all_20_1, all_65_16, e0,
% 175.92/27.10 | | | | | | | | | | | e2, simplifying with (16870), (17144) gives:
% 175.92/27.10 | | | | | | | | | | | (17151) all_65_16 = all_20_1
% 175.92/27.10 | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_12, all_65_0, e0,
% 175.92/27.10 | | | | | | | | | | | e3, simplifying with (235), (17143) gives:
% 175.92/27.10 | | | | | | | | | | | (17152) all_65_0 = all_61_12
% 175.92/27.10 | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | GROUND_INST: instantiating (50) with all_36_1, all_65_0, e0,
% 175.92/27.10 | | | | | | | | | | | e3, simplifying with (17136), (17143) gives:
% 175.92/27.10 | | | | | | | | | | | (17153) all_65_0 = all_36_1
% 175.92/27.10 | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | COMBINE_EQS: (17149), (17153) imply:
% 175.92/27.10 | | | | | | | | | | | (17154) all_61_3 = all_36_1
% 175.92/27.10 | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | SIMP: (17154) implies:
% 175.92/27.10 | | | | | | | | | | | (17155) all_61_3 = all_36_1
% 175.92/27.10 | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | COMBINE_EQS: (17152), (17153) imply:
% 175.92/27.10 | | | | | | | | | | | (17156) all_61_12 = all_36_1
% 175.92/27.10 | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | SIMP: (17156) implies:
% 175.92/27.10 | | | | | | | | | | | (17157) all_61_12 = all_36_1
% 175.92/27.10 | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | COMBINE_EQS: (17147), (17148) imply:
% 175.92/27.10 | | | | | | | | | | | (17158) all_65_49 = e2
% 175.92/27.10 | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | COMBINE_EQS: (506), (17155) imply:
% 175.92/27.10 | | | | | | | | | | | (17159) all_63_12 = all_36_1
% 175.92/27.10 | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | COMBINE_EQS: (491), (17157) imply:
% 175.92/27.10 | | | | | | | | | | | (17160) all_63_3 = all_36_1
% 175.92/27.10 | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | REDUCE: (215), (17155) imply:
% 175.92/27.10 | | | | | | | | | | | (17161) ~ (all_61_1 = all_36_1)
% 175.92/27.10 | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | REDUCE: (211), (17155) imply:
% 175.92/27.10 | | | | | | | | | | | (17162) ~ (all_61_2 = all_36_1)
% 175.92/27.10 | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | REDUCE: (16863), (17157) imply:
% 175.92/27.10 | | | | | | | | | | | (17163) ~ (all_36_1 = all_20_1)
% 175.92/27.10 | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | REDUCE: (11653), (17157) imply:
% 175.92/27.10 | | | | | | | | | | | (17164) ~ (all_36_1 = all_8_1)
% 175.92/27.10 | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | REDUCE: (16841), (17157) imply:
% 175.92/27.10 | | | | | | | | | | | (17165) ~ (all_36_1 = e2)
% 175.92/27.10 | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | REDUCE: (17140), (17157) imply:
% 175.92/27.10 | | | | | | | | | | | (17166) ~ (all_36_1 = e0)
% 175.92/27.10 | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | REDUCE: (685), (17155) imply:
% 175.92/27.10 | | | | | | | | | | | (17167) op(all_36_1, e0) = all_65_55
% 175.92/27.10 | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | REDUCE: (16868), (17157) imply:
% 175.92/27.10 | | | | | | | | | | | (17168) op(all_36_1, e0) = all_61_4
% 175.92/27.10 | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | REDUCE: (16872), (17155) imply:
% 175.92/27.10 | | | | | | | | | | | (17169) op(e0, all_36_1) = all_61_1
% 175.92/27.10 | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | REDUCE: (752), (17157) imply:
% 175.92/27.10 | | | | | | | | | | | (17170) op(e0, all_36_1) = all_65_55
% 175.92/27.10 | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_1, all_65_55,
% 175.92/27.10 | | | | | | | | | | | all_36_1, e0, simplifying with (17169), (17170)
% 175.92/27.10 | | | | | | | | | | | gives:
% 175.92/27.10 | | | | | | | | | | | (17171) all_65_55 = all_61_1
% 175.92/27.10 | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_4, all_65_55, e0,
% 175.92/27.10 | | | | | | | | | | | all_36_1, simplifying with (17167), (17168) gives:
% 175.92/27.10 | | | | | | | | | | | (17172) all_65_55 = all_61_4
% 175.92/27.10 | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | COMBINE_EQS: (17171), (17172) imply:
% 175.92/27.10 | | | | | | | | | | | (17173) all_61_1 = all_61_4
% 175.92/27.10 | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | SIMP: (17173) implies:
% 175.92/27.10 | | | | | | | | | | | (17174) all_61_1 = all_61_4
% 175.92/27.10 | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | COMBINE_EQS: (493), (17174) imply:
% 175.92/27.10 | | | | | | | | | | | (17175) all_63_4 = all_61_4
% 175.92/27.10 | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | REDUCE: (216), (17174) imply:
% 175.92/27.10 | | | | | | | | | | | (17176) ~ (all_61_2 = all_61_4)
% 175.92/27.10 | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | SIMP: (17176) implies:
% 175.92/27.10 | | | | | | | | | | | (17177) ~ (all_61_2 = all_61_4)
% 175.92/27.10 | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | REDUCE: (17161), (17174) imply:
% 175.92/27.10 | | | | | | | | | | | (17178) ~ (all_61_4 = all_36_1)
% 175.92/27.10 | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | REDUCE: (16861), (17174) imply:
% 175.92/27.10 | | | | | | | | | | | (17179) ~ (all_61_4 = all_20_1)
% 175.92/27.10 | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | REDUCE: (17139), (17174) imply:
% 175.92/27.10 | | | | | | | | | | | (17180) ~ (all_61_4 = e0)
% 175.92/27.10 | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | REDUCE: (651), (17174) imply:
% 175.92/27.10 | | | | | | | | | | | (17181) op(all_61_4, e2) = all_65_17
% 175.92/27.10 | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | REDUCE: (15470), (17174) imply:
% 175.92/27.10 | | | | | | | | | | | (17182) op(e2, all_61_4) = all_61_2
% 175.92/27.10 | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_17, all_61_2,
% 175.92/27.10 | | | | | | | | | | | all_61_4, e2, simplifying with (716), (17182)
% 175.92/27.10 | | | | | | | | | | | gives:
% 175.92/27.10 | | | | | | | | | | | (17183) all_65_17 = all_61_2
% 175.92/27.10 | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_8, all_65_17, e2,
% 175.92/27.10 | | | | | | | | | | | all_61_4, simplifying with (15460), (17181) gives:
% 175.92/27.10 | | | | | | | | | | | (17184) all_65_17 = all_61_8
% 175.92/27.10 | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | COMBINE_EQS: (17183), (17184) imply:
% 175.92/27.10 | | | | | | | | | | | (17185) all_61_2 = all_61_8
% 175.92/27.10 | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | SIMP: (17185) implies:
% 175.92/27.10 | | | | | | | | | | | (17186) all_61_2 = all_61_8
% 175.92/27.10 | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | COMBINE_EQS: (499), (17186) imply:
% 175.92/27.10 | | | | | | | | | | | (17187) all_63_8 = all_61_8
% 175.92/27.10 | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | REDUCE: (17177), (17186) imply:
% 175.92/27.10 | | | | | | | | | | | (17188) ~ (all_61_4 = all_61_8)
% 175.92/27.10 | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | REDUCE: (17162), (17186) imply:
% 175.92/27.10 | | | | | | | | | | | (17189) ~ (all_61_8 = all_36_1)
% 175.92/27.10 | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | BETA: splitting (157) gives:
% 175.92/27.10 | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | Case 1:
% 175.92/27.10 | | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | | (17190) ~ (all_58_3 = e1)
% 175.92/27.10 | | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | | REDUCE: (475), (17190) imply:
% 175.92/27.10 | | | | | | | | | | | | (17191) ~ (all_52_3 = e1)
% 175.92/27.10 | | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | | BETA: splitting (160) gives:
% 175.92/27.10 | | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | | Case 1:
% 175.92/27.10 | | | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | | | (17192) ~ (all_58_2 = e0)
% 175.92/27.10 | | | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | | | REDUCE: (478), (17192) imply:
% 175.92/27.10 | | | | | | | | | | | | | (17193) ~ (all_52_2 = e0)
% 175.92/27.10 | | | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | | | BETA: splitting (161) gives:
% 175.92/27.10 | | | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | | | Case 1:
% 175.92/27.10 | | | | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | | | | (17194) ~ (all_58_2 = e2)
% 175.92/27.10 | | | | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | | | | REDUCE: (478), (17194) imply:
% 175.92/27.10 | | | | | | | | | | | | | | (17195) ~ (all_52_2 = e2)
% 175.92/27.10 | | | | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (50), (148), (149), (150), (162), (163),
% 175.92/27.10 | | | | | | | | | | | | | | (231), (478), (481), (484), (536), (538), (539),
% 175.92/27.10 | | | | | | | | | | | | | | (628), (630), (631), (632), (633), (731), (748),
% 175.92/27.10 | | | | | | | | | | | | | | (765), (11606), (11622), (11697), (15425),
% 175.92/27.10 | | | | | | | | | | | | | | (16842), (16851), (16866), (16867), (16869),
% 175.92/27.10 | | | | | | | | | | | | | | (16870), (16871), (17193), (17195) are
% 175.92/27.10 | | | | | | | | | | | | | | inconsistent by sub-proof #108.
% 175.92/27.10 | | | | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | | | Case 2:
% 175.92/27.10 | | | | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | | | | (17196) all_58_1 = e1
% 175.92/27.10 | | | | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | | | | COMBINE_EQS: (481), (17196) imply:
% 175.92/27.10 | | | | | | | | | | | | | | (17197) all_52_1 = e1
% 175.92/27.10 | | | | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | | | | SIMP: (17197) implies:
% 175.92/27.10 | | | | | | | | | | | | | | (17198) all_52_1 = e1
% 175.92/27.10 | | | | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | | | | REDUCE: (731), (17198) imply:
% 175.92/27.10 | | | | | | | | | | | | | | (17199) op(e2, e1) = unit
% 175.92/27.10 | | | | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_12_1, unit, e1, e2,
% 175.92/27.10 | | | | | | | | | | | | | | simplifying with (15409), (17199) gives:
% 175.92/27.10 | | | | | | | | | | | | | | (17200) all_12_1 = unit
% 175.92/27.10 | | | | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | | | | REDUCE: (15453), (17200) imply:
% 175.92/27.10 | | | | | | | | | | | | | | (17201) ~ (all_61_4 = unit)
% 175.92/27.10 | | | | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | | | | REDUCE: (15456), (17200) imply:
% 175.92/27.10 | | | | | | | | | | | | | | (17202) ~ (all_61_8 = unit)
% 175.92/27.10 | | | | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | | | | REDUCE: (15458), (17200) imply:
% 175.92/27.10 | | | | | | | | | | | | | | (17203) ~ (unit = e1)
% 175.92/27.10 | | | | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | | | | REDUCE: (15459), (17200) imply:
% 175.92/27.10 | | | | | | | | | | | | | | (17204) ~ (unit = e0)
% 175.92/27.10 | | | | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | | | | BETA: splitting (11697) gives:
% 175.92/27.10 | | | | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | | | | Case 1:
% 175.92/27.10 | | | | | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | | | | | (17205) unit = e2
% 175.92/27.10 | | | | | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | | | | | REDUCE: (17201), (17205) imply:
% 175.92/27.10 | | | | | | | | | | | | | | | (17206) ~ (all_61_4 = e2)
% 175.92/27.10 | | | | | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | | | | | REDUCE: (17202), (17205) imply:
% 175.92/27.10 | | | | | | | | | | | | | | | (17207) ~ (all_61_8 = e2)
% 175.92/27.10 | | | | | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | | | | | BETA: splitting (270) gives:
% 175.92/27.10 | | | | | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | | | | | Case 1:
% 175.92/27.10 | | | | | | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | | | | | | (17208) all_63_1 = e3
% 175.92/27.10 | | | | | | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | | | | | | COMBINE_EQS: (488), (17208) imply:
% 175.92/27.10 | | | | | | | | | | | | | | | | (17209) all_61_4 = e3
% 175.92/27.10 | | | | | | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | | | | | | REDUCE: (201), (17209) imply:
% 175.92/27.10 | | | | | | | | | | | | | | | | (17210) ~ (all_61_8 = e3)
% 175.92/27.10 | | | | | | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | | | | | | SIMP: (17210) implies:
% 175.92/27.10 | | | | | | | | | | | | | | | | (17211) ~ (all_61_8 = e3)
% 175.92/27.10 | | | | | | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | | | | | | REDUCE: (17178), (17209) imply:
% 175.92/27.10 | | | | | | | | | | | | | | | | (17212) ~ (all_36_1 = e3)
% 175.92/27.10 | | | | | | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | | | | | | SIMP: (17212) implies:
% 175.92/27.10 | | | | | | | | | | | | | | | | (17213) ~ (all_36_1 = e3)
% 175.92/27.10 | | | | | | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | | | | | | REF_CLOSE: (259), (269), (489), (11612), (17159), (17165),
% 175.92/27.10 | | | | | | | | | | | | | | | | (17166), (17189), (17207), (17211), (17213) are
% 175.92/27.10 | | | | | | | | | | | | | | | | inconsistent by sub-proof #247.
% 175.92/27.10 | | | | | | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | | | | | Case 2:
% 175.92/27.10 | | | | | | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | | | | | | (17214) all_63_1 = e2 | all_63_1 = e1 | all_63_1 = e0
% 175.92/27.10 | | | | | | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | | | | | | REF_CLOSE: (488), (15414), (17180), (17206), (17214) are
% 175.92/27.10 | | | | | | | | | | | | | | | | inconsistent by sub-proof #485.
% 175.92/27.10 | | | | | | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | | | | | End of split
% 175.92/27.10 | | | | | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | | | | Case 2:
% 175.92/27.10 | | | | | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | | | | | (17215) unit = e1 | unit = e0
% 175.92/27.10 | | | | | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | | | | | REF_CLOSE: (17203), (17204), (17215) are inconsistent by
% 175.92/27.10 | | | | | | | | | | | | | | | sub-proof #419.
% 175.92/27.10 | | | | | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | | | | End of split
% 175.92/27.10 | | | | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | | | End of split
% 175.92/27.10 | | | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | | Case 2:
% 175.92/27.10 | | | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | | | (17216) all_58_3 = e1
% 175.92/27.10 | | | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | | | REF_CLOSE: (475), (17191), (17216) are inconsistent by
% 175.92/27.10 | | | | | | | | | | | | | sub-proof #460.
% 175.92/27.10 | | | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | | End of split
% 175.92/27.10 | | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | Case 2:
% 175.92/27.10 | | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | | (17217) all_58_2 = e0
% 175.92/27.10 | | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | | COMBINE_EQS: (478), (17217) imply:
% 175.92/27.10 | | | | | | | | | | | | (17218) all_52_2 = e0
% 175.92/27.10 | | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | | REDUCE: (748), (17218) imply:
% 175.92/27.10 | | | | | | | | | | | | (17219) op(e1, e0) = unit
% 175.92/27.10 | | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_8_1, unit, e0, e1,
% 175.92/27.10 | | | | | | | | | | | | simplifying with (11606), (17219) gives:
% 175.92/27.10 | | | | | | | | | | | | (17220) all_8_1 = unit
% 175.92/27.10 | | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | | REDUCE: (11651), (17220) imply:
% 175.92/27.10 | | | | | | | | | | | | (17221) ~ (all_61_8 = unit)
% 175.92/27.10 | | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | | REDUCE: (17164), (17220) imply:
% 175.92/27.10 | | | | | | | | | | | | (17222) ~ (all_36_1 = unit)
% 175.92/27.10 | | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | | REDUCE: (16865), (17220) imply:
% 175.92/27.10 | | | | | | | | | | | | (17223) ~ (all_20_1 = unit)
% 175.92/27.10 | | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | | REDUCE: (16844), (17220) imply:
% 175.92/27.10 | | | | | | | | | | | | (17224) ~ (unit = e2)
% 175.92/27.10 | | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | | REDUCE: (11657), (17220) imply:
% 175.92/27.10 | | | | | | | | | | | | (17225) ~ (unit = e0)
% 175.92/27.10 | | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | | BETA: splitting (11697) gives:
% 175.92/27.10 | | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | | Case 1:
% 175.92/27.10 | | | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | | | (17226) unit = e2
% 175.92/27.10 | | | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | | | REDUCE: (17224), (17226) imply:
% 175.92/27.10 | | | | | | | | | | | | | (17227) $false
% 175.92/27.10 | | | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | | | CLOSE: (17227) is inconsistent.
% 175.92/27.10 | | | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | | Case 2:
% 175.92/27.10 | | | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | | | (17228) unit = e1 | unit = e0
% 175.92/27.10 | | | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | | | BETA: splitting (17228) gives:
% 175.92/27.10 | | | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | | | Case 1:
% 175.92/27.10 | | | | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | | | | (17229) unit = e1
% 175.92/27.10 | | | | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | | | | REDUCE: (17221), (17229) imply:
% 175.92/27.10 | | | | | | | | | | | | | | (17230) ~ (all_61_8 = e1)
% 175.92/27.10 | | | | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | | | | REDUCE: (17222), (17229) imply:
% 175.92/27.10 | | | | | | | | | | | | | | (17231) ~ (all_36_1 = e1)
% 175.92/27.10 | | | | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | | | | BETA: splitting (259) gives:
% 175.92/27.10 | | | | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | | | | Case 1:
% 175.92/27.10 | | | | | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | | | | | (17232) all_63_12 = e3
% 175.92/27.10 | | | | | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | | | | | COMBINE_EQS: (17159), (17232) imply:
% 175.92/27.10 | | | | | | | | | | | | | | | (17233) all_36_1 = e3
% 175.92/27.10 | | | | | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | | | | | REDUCE: (17178), (17233) imply:
% 175.92/27.10 | | | | | | | | | | | | | | | (17234) ~ (all_61_4 = e3)
% 175.92/27.10 | | | | | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | | | | | REDUCE: (17189), (17233) imply:
% 175.92/27.10 | | | | | | | | | | | | | | | (17235) ~ (all_61_8 = e3)
% 175.92/27.10 | | | | | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | | | | | REDUCE: (17163), (17233) imply:
% 175.92/27.10 | | | | | | | | | | | | | | | (17236) ~ (all_20_1 = e3)
% 175.92/27.10 | | | | | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | | | | | SIMP: (17236) implies:
% 175.92/27.10 | | | | | | | | | | | | | | | (17237) ~ (all_20_1 = e3)
% 175.92/27.10 | | | | | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | | | | | BETA: splitting (263) gives:
% 175.92/27.10 | | | | | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | | | | | Case 1:
% 175.92/27.10 | | | | | | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | | | | | | (17238) all_63_8 = e3
% 175.92/27.10 | | | | | | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | | | | | | COMBINE_EQS: (17187), (17238) imply:
% 175.92/27.10 | | | | | | | | | | | | | | | | (17239) all_61_8 = e3
% 175.92/27.10 | | | | | | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | | | | | | REDUCE: (17235), (17239) imply:
% 175.92/27.10 | | | | | | | | | | | | | | | | (17240) $false
% 175.92/27.10 | | | | | | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | | | | | | CLOSE: (17240) is inconsistent.
% 175.92/27.10 | | | | | | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | | | | | Case 2:
% 175.92/27.10 | | | | | | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | | | | | | (17241) ~ (all_63_8 = e3)
% 175.92/27.10 | | | | | | | | | | | | | | | | (17242) all_63_8 = e2 | all_63_8 = e1 | all_63_8 = e0
% 175.92/27.10 | | | | | | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | | | | | | BETA: splitting (17242) gives:
% 175.92/27.10 | | | | | | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | | | | | | Case 1:
% 175.92/27.10 | | | | | | | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | | | | | | | (17243) all_63_8 = e2
% 175.92/27.10 | | | | | | | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | | | | | | | COMBINE_EQS: (17187), (17243) imply:
% 175.92/27.10 | | | | | | | | | | | | | | | | | (17244) all_61_8 = e2
% 175.92/27.10 | | | | | | | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | | | | | | | REDUCE: (201), (17244) imply:
% 175.92/27.10 | | | | | | | | | | | | | | | | | (17245) ~ (all_61_4 = e2)
% 175.92/27.10 | | | | | | | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | | | | | | | REF_CLOSE: (258), (267), (15414), (16860), (16866), (16867),
% 175.92/27.10 | | | | | | | | | | | | | | | | | (17175), (17179), (17234), (17237), (17245) are
% 175.92/27.10 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #144.
% 175.92/27.10 | | | | | | | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | | | | | | Case 2:
% 175.92/27.10 | | | | | | | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | | | | | | | (17246) ~ (all_63_8 = e2)
% 175.92/27.10 | | | | | | | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | | | | | | | REDUCE: (17187), (17246) imply:
% 175.92/27.10 | | | | | | | | | | | | | | | | | (17247) ~ (all_61_8 = e2)
% 175.92/27.10 | | | | | | | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | | | | | | | REF_CLOSE: (269), (489), (11612), (17230), (17235), (17247)
% 175.92/27.10 | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #400.
% 175.92/27.10 | | | | | | | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | | | | | | End of split
% 175.92/27.10 | | | | | | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | | | | | End of split
% 175.92/27.10 | | | | | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | | | | Case 2:
% 175.92/27.10 | | | | | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | | | | | (17248) ~ (all_63_12 = e3)
% 175.92/27.10 | | | | | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | | | | | REDUCE: (17159), (17248) imply:
% 175.92/27.10 | | | | | | | | | | | | | | | (17249) ~ (all_36_1 = e3)
% 175.92/27.10 | | | | | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | | | | | REF_CLOSE: (268), (17160), (17165), (17166), (17231), (17249)
% 175.92/27.10 | | | | | | | | | | | | | | | are inconsistent by sub-proof #446.
% 175.92/27.10 | | | | | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | | | | End of split
% 175.92/27.10 | | | | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | | | Case 2:
% 175.92/27.10 | | | | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | | | | (17250) ~ (unit = e1)
% 175.92/27.10 | | | | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | | | | REF_CLOSE: (17225), (17228), (17250) are inconsistent by
% 175.92/27.10 | | | | | | | | | | | | | | sub-proof #419.
% 175.92/27.10 | | | | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | | | End of split
% 175.92/27.10 | | | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | | End of split
% 175.92/27.10 | | | | | | | | | | | |
% 175.92/27.10 | | | | | | | | | | | End of split
% 175.92/27.10 | | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | End of split
% 175.92/27.11 | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | End of split
% 175.92/27.11 | | | | | | | | |
% 175.92/27.11 | | | | | | | | Case 2:
% 175.92/27.11 | | | | | | | | |
% 175.92/27.11 | | | | | | | | | (17251) all_14_2 = e2
% 175.92/27.11 | | | | | | | | | (17252) op(e3, e2) = all_14_1 & $i(all_14_1) & ( ~
% 175.92/27.11 | | | | | | | | | (all_14_1 = e0) | ( ~ (all_14_0 = e1) & op(e0,
% 175.92/27.11 | | | | | | | | | e3) = all_14_0 & $i(all_14_0)))
% 175.92/27.11 | | | | | | | | |
% 175.92/27.11 | | | | | | | | | ALPHA: (17252) implies:
% 175.92/27.11 | | | | | | | | | (17253) op(e3, e2) = all_14_1
% 175.92/27.11 | | | | | | | | |
% 175.92/27.11 | | | | | | | | | COMBINE_EQS: (561), (17251) imply:
% 175.92/27.11 | | | | | | | | | (17254) all_26_2 = e2
% 175.92/27.11 | | | | | | | | |
% 175.92/27.11 | | | | | | | | | REDUCE: (595), (17251) imply:
% 175.92/27.11 | | | | | | | | | (17255) ~ (all_61_2 = e2)
% 175.92/27.11 | | | | | | | | |
% 175.92/27.11 | | | | | | | | | REDUCE: (597), (17251) imply:
% 175.92/27.11 | | | | | | | | | (17256) ~ (all_61_3 = e2)
% 175.92/27.11 | | | | | | | | |
% 175.92/27.11 | | | | | | | | | REDUCE: (599), (17251) imply:
% 175.92/27.11 | | | | | | | | | (17257) ~ (all_61_4 = e2)
% 175.92/27.11 | | | | | | | | |
% 175.92/27.11 | | | | | | | | | REDUCE: (634), (17251) imply:
% 175.92/27.11 | | | | | | | | | (17258) op(e2, e3) = all_65_0
% 175.92/27.11 | | | | | | | | |
% 175.92/27.11 | | | | | | | | | REDUCE: (635), (17251) imply:
% 175.92/27.11 | | | | | | | | | (17259) op(e2, e2) = all_65_1
% 175.92/27.11 | | | | | | | | |
% 175.92/27.11 | | | | | | | | | REDUCE: (636), (17251) imply:
% 175.92/27.11 | | | | | | | | | (17260) op(e2, e1) = all_65_2
% 175.92/27.11 | | | | | | | | |
% 175.92/27.11 | | | | | | | | | REDUCE: (637), (17251) imply:
% 175.92/27.11 | | | | | | | | | (17261) op(e2, e0) = all_65_3
% 175.92/27.11 | | | | | | | | |
% 175.92/27.11 | | | | | | | | | REDUCE: (698), (17251) imply:
% 175.92/27.11 | | | | | | | | | (17262) op(e3, e2) = all_65_0
% 175.92/27.11 | | | | | | | | |
% 175.92/27.11 | | | | | | | | | REDUCE: (715), (17251) imply:
% 175.92/27.11 | | | | | | | | | (17263) op(e2, e2) = all_65_16
% 175.92/27.11 | | | | | | | | |
% 175.92/27.11 | | | | | | | | | REDUCE: (749), (17251) imply:
% 175.92/27.11 | | | | | | | | | (17264) op(e0, e2) = all_65_49
% 175.92/27.11 | | | | | | | | |
% 175.92/27.11 | | | | | | | | | BETA: splitting (86) gives:
% 175.92/27.11 | | | | | | | | |
% 175.92/27.11 | | | | | | | | | Case 1:
% 175.92/27.11 | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | (17265) ~ (all_26_2 = e2)
% 175.92/27.11 | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | REDUCE: (17254), (17265) imply:
% 175.92/27.11 | | | | | | | | | | (17266) $false
% 175.92/27.11 | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | CLOSE: (17266) is inconsistent.
% 175.92/27.11 | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | Case 2:
% 175.92/27.11 | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | (17267) op(e3, e2) = all_26_1 & $i(all_26_1) & ( ~
% 175.92/27.11 | | | | | | | | | | (all_26_1 = e1) | ( ~ (all_26_0 = e0) & op(e1,
% 175.92/27.11 | | | | | | | | | | e3) = all_26_0 & $i(all_26_0)))
% 175.92/27.11 | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | ALPHA: (17267) implies:
% 175.92/27.11 | | | | | | | | | | (17268) op(e3, e2) = all_26_1
% 175.92/27.11 | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_13, all_65_49, e2,
% 175.92/27.11 | | | | | | | | | | e0, simplifying with (15500), (17264) gives:
% 175.92/27.11 | | | | | | | | | | (17269) all_65_49 = all_61_13
% 175.92/27.11 | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_13, all_65_3, e0,
% 175.92/27.11 | | | | | | | | | | e2, simplifying with (231), (17261) gives:
% 175.92/27.11 | | | | | | | | | | (17270) all_65_3 = all_61_13
% 175.92/27.11 | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | GROUND_INST: instantiating (50) with all_12_1, all_65_2, e1,
% 175.92/27.11 | | | | | | | | | | e2, simplifying with (15409), (17260) gives:
% 175.92/27.11 | | | | | | | | | | (17271) all_65_2 = all_12_1
% 175.92/27.11 | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | GROUND_INST: instantiating (50) with e1, all_65_1, e2, e2,
% 175.92/27.11 | | | | | | | | | | simplifying with (15425), (17259) gives:
% 175.92/27.11 | | | | | | | | | | (17272) all_65_1 = e1
% 175.92/27.11 | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_16, all_65_1, e2,
% 175.92/27.11 | | | | | | | | | | e2, simplifying with (17259), (17263) gives:
% 175.92/27.11 | | | | | | | | | | (17273) all_65_1 = all_65_16
% 175.92/27.11 | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_1, all_65_0, e3,
% 175.92/27.11 | | | | | | | | | | e2, simplifying with (234), (17258) gives:
% 175.92/27.11 | | | | | | | | | | (17274) all_65_0 = all_61_1
% 175.92/27.11 | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_4, all_26_1, e2,
% 175.92/27.11 | | | | | | | | | | e3, simplifying with (237), (17268) gives:
% 175.92/27.11 | | | | | | | | | | (17275) all_61_4 = all_26_1
% 175.92/27.11 | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_4, all_65_0, e2,
% 175.92/27.11 | | | | | | | | | | e3, simplifying with (237), (17262) gives:
% 175.92/27.11 | | | | | | | | | | (17276) all_65_0 = all_61_4
% 175.92/27.11 | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | GROUND_INST: instantiating (50) with all_14_1, all_65_0, e2,
% 175.92/27.11 | | | | | | | | | | e3, simplifying with (17253), (17262) gives:
% 175.92/27.11 | | | | | | | | | | (17277) all_65_0 = all_14_1
% 175.92/27.11 | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | COMBINE_EQS: (17276), (17277) imply:
% 175.92/27.11 | | | | | | | | | | (17278) all_61_4 = all_14_1
% 175.92/27.11 | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | SIMP: (17278) implies:
% 175.92/27.11 | | | | | | | | | | (17279) all_61_4 = all_14_1
% 175.92/27.11 | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | COMBINE_EQS: (17274), (17277) imply:
% 175.92/27.11 | | | | | | | | | | (17280) all_61_1 = all_14_1
% 175.92/27.11 | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | SIMP: (17280) implies:
% 175.92/27.11 | | | | | | | | | | (17281) all_61_1 = all_14_1
% 175.92/27.11 | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | COMBINE_EQS: (17272), (17273) imply:
% 175.92/27.11 | | | | | | | | | | (17282) all_65_16 = e1
% 175.92/27.11 | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | SIMP: (17282) implies:
% 175.92/27.11 | | | | | | | | | | (17283) all_65_16 = e1
% 175.92/27.11 | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | COMBINE_EQS: (17275), (17279) imply:
% 175.92/27.11 | | | | | | | | | | (17284) all_26_1 = all_14_1
% 175.92/27.11 | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | COMBINE_EQS: (493), (17281) imply:
% 175.92/27.11 | | | | | | | | | | (17285) all_63_4 = all_14_1
% 175.92/27.11 | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | COMBINE_EQS: (488), (17279) imply:
% 175.92/27.11 | | | | | | | | | | (17286) all_63_1 = all_14_1
% 175.92/27.11 | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | REDUCE: (216), (17281) imply:
% 175.92/27.11 | | | | | | | | | | (17287) ~ (all_61_2 = all_14_1)
% 175.92/27.11 | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | SIMP: (17287) implies:
% 175.92/27.11 | | | | | | | | | | (17288) ~ (all_61_2 = all_14_1)
% 175.92/27.11 | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | REDUCE: (215), (17281) imply:
% 175.92/27.11 | | | | | | | | | | (17289) ~ (all_61_3 = all_14_1)
% 175.92/27.11 | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | SIMP: (17289) implies:
% 175.92/27.11 | | | | | | | | | | (17290) ~ (all_61_3 = all_14_1)
% 175.92/27.11 | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | REDUCE: (15453), (17279) imply:
% 175.92/27.11 | | | | | | | | | | (17291) ~ (all_14_1 = all_12_1)
% 175.92/27.11 | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | REDUCE: (15414), (17279) imply:
% 175.92/27.11 | | | | | | | | | | (17292) ~ (all_14_1 = e1)
% 175.92/27.11 | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | REDUCE: (651), (17281) imply:
% 175.92/27.11 | | | | | | | | | | (17293) op(all_14_1, e2) = all_65_17
% 175.92/27.11 | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | REDUCE: (15460), (17279) imply:
% 175.92/27.11 | | | | | | | | | | (17294) op(all_14_1, e2) = all_61_8
% 175.92/27.11 | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | REDUCE: (15470), (17281) imply:
% 175.92/27.11 | | | | | | | | | | (17295) op(e2, all_14_1) = all_61_2
% 175.92/27.11 | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | REDUCE: (716), (17279) imply:
% 175.92/27.11 | | | | | | | | | | (17296) op(e2, all_14_1) = all_65_17
% 175.92/27.11 | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | REDUCE: (234), (17281) imply:
% 175.92/27.11 | | | | | | | | | | (17297) op(e2, e3) = all_14_1
% 175.92/27.11 | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_2, all_65_17,
% 175.92/27.11 | | | | | | | | | | all_14_1, e2, simplifying with (17295), (17296)
% 175.92/27.11 | | | | | | | | | | gives:
% 175.92/27.11 | | | | | | | | | | (17298) all_65_17 = all_61_2
% 175.92/27.11 | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_8, all_65_17, e2,
% 175.92/27.11 | | | | | | | | | | all_14_1, simplifying with (17293), (17294) gives:
% 175.92/27.11 | | | | | | | | | | (17299) all_65_17 = all_61_8
% 175.92/27.11 | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | COMBINE_EQS: (17298), (17299) imply:
% 175.92/27.11 | | | | | | | | | | (17300) all_61_2 = all_61_8
% 175.92/27.11 | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | SIMP: (17300) implies:
% 175.92/27.11 | | | | | | | | | | (17301) all_61_2 = all_61_8
% 175.92/27.11 | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | COMBINE_EQS: (499), (17301) imply:
% 175.92/27.11 | | | | | | | | | | (17302) all_63_8 = all_61_8
% 175.92/27.11 | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | REDUCE: (211), (17301) imply:
% 175.92/27.11 | | | | | | | | | | (17303) ~ (all_61_3 = all_61_8)
% 175.92/27.11 | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | SIMP: (17303) implies:
% 175.92/27.11 | | | | | | | | | | (17304) ~ (all_61_3 = all_61_8)
% 175.92/27.11 | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | REDUCE: (17288), (17301) imply:
% 175.92/27.11 | | | | | | | | | | (17305) ~ (all_61_8 = all_14_1)
% 175.92/27.11 | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | REDUCE: (17255), (17301) imply:
% 175.92/27.11 | | | | | | | | | | (17306) ~ (all_61_8 = e2)
% 175.92/27.11 | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | REDUCE: (668), (17301) imply:
% 175.92/27.11 | | | | | | | | | | (17307) op(all_61_8, e1) = all_65_34
% 175.92/27.11 | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | REDUCE: (11672), (17301) imply:
% 175.92/27.11 | | | | | | | | | | (17308) op(e1, all_61_8) = all_61_3
% 175.92/27.11 | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_34, all_61_3,
% 175.92/27.11 | | | | | | | | | | all_61_8, e1, simplifying with (734), (17308)
% 175.92/27.11 | | | | | | | | | | gives:
% 175.92/27.11 | | | | | | | | | | (17309) all_65_34 = all_61_3
% 175.92/27.11 | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_12, all_65_34, e1,
% 175.92/27.11 | | | | | | | | | | all_61_8, simplifying with (11658), (17307) gives:
% 175.92/27.11 | | | | | | | | | | (17310) all_65_34 = all_61_12
% 175.92/27.11 | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | COMBINE_EQS: (17309), (17310) imply:
% 175.92/27.11 | | | | | | | | | | (17311) all_61_3 = all_61_12
% 175.92/27.11 | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | SIMP: (17311) implies:
% 175.92/27.11 | | | | | | | | | | (17312) all_61_3 = all_61_12
% 175.92/27.11 | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | COMBINE_EQS: (506), (17312) imply:
% 175.92/27.11 | | | | | | | | | | (17313) all_63_12 = all_61_12
% 175.92/27.11 | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | REDUCE: (17304), (17312) imply:
% 175.92/27.11 | | | | | | | | | | (17314) ~ (all_61_8 = all_61_12)
% 175.92/27.11 | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | REDUCE: (17290), (17312) imply:
% 175.92/27.11 | | | | | | | | | | (17315) ~ (all_61_12 = all_14_1)
% 175.92/27.11 | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | REDUCE: (17256), (17312) imply:
% 175.92/27.11 | | | | | | | | | | (17316) ~ (all_61_12 = e2)
% 175.92/27.11 | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | REDUCE: (685), (17312) imply:
% 175.92/27.11 | | | | | | | | | | (17317) op(all_61_12, e0) = all_65_55
% 175.92/27.11 | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | REDUCE: (761), (17312) imply:
% 175.92/27.11 | | | | | | | | | | (17318) op(e0, all_61_12) = all_65_73
% 175.92/27.11 | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_55, all_65_73,
% 175.92/27.11 | | | | | | | | | | all_61_12, e0, simplifying with (752), (17318)
% 175.92/27.11 | | | | | | | | | | gives:
% 175.92/27.11 | | | | | | | | | | (17319) all_65_55 = all_65_73
% 175.92/27.11 | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_15, all_65_55, e0,
% 175.92/27.11 | | | | | | | | | | all_61_12, simplifying with (649), (17317) gives:
% 175.92/27.11 | | | | | | | | | | (17320) all_65_15 = all_65_55
% 175.92/27.11 | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | COMBINE_EQS: (17319), (17320) imply:
% 175.92/27.11 | | | | | | | | | | (17321) all_65_15 = all_65_73
% 175.92/27.11 | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | REDUCE: (713), (17321) imply:
% 175.92/27.11 | | | | | | | | | | (17322) op(e3, all_20_2) = all_65_73
% 175.92/27.11 | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | BETA: splitting (77) gives:
% 175.92/27.11 | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | Case 1:
% 175.92/27.11 | | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | | (17323) ~ (all_20_2 = e2)
% 175.92/27.11 | | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | | BETA: splitting (89) gives:
% 175.92/27.11 | | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | | Case 1:
% 175.92/27.11 | | | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | | | (17324) ~ (all_28_2 = e3)
% 175.92/27.11 | | | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | | | REDUCE: (563), (17324) imply:
% 175.92/27.11 | | | | | | | | | | | | (17325) ~ (all_20_2 = e3)
% 175.92/27.11 | | | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | | | BETA: splitting (110) gives:
% 175.92/27.11 | | | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | | | Case 1:
% 175.92/27.11 | | | | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | | | | (17326) ~ (all_42_2 = e1)
% 175.92/27.11 | | | | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | | | | REDUCE: (532), (17326) imply:
% 175.92/27.11 | | | | | | | | | | | | | (17327) ~ (all_20_2 = e1)
% 175.92/27.11 | | | | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | | | | BETA: splitting (256) gives:
% 175.92/27.11 | | | | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | | | | Case 1:
% 175.92/27.11 | | | | | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | | | | | (17328) all_63_15 = e3
% 175.92/27.11 | | | | | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | | | | | REF_CLOSE: (422), (17325), (17328) are inconsistent by
% 175.92/27.11 | | | | | | | | | | | | | | sub-proof #501.
% 175.92/27.11 | | | | | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | | | | Case 2:
% 175.92/27.11 | | | | | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | | | | | (17329) all_63_15 = e2 | all_63_15 = e1 | all_63_15 = e0
% 175.92/27.11 | | | | | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | | | | | BETA: splitting (17329) gives:
% 175.92/27.11 | | | | | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | | | | | Case 1:
% 175.92/27.11 | | | | | | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | | | | | | (17330) all_63_15 = e2
% 175.92/27.11 | | | | | | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | | | | | | REF_CLOSE: (422), (17323), (17330) are inconsistent by
% 175.92/27.11 | | | | | | | | | | | | | | | sub-proof #500.
% 175.92/27.11 | | | | | | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | | | | | Case 2:
% 175.92/27.11 | | | | | | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | | | | | | (17331) all_63_15 = e1 | all_63_15 = e0
% 175.92/27.11 | | | | | | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | | | | | | BETA: splitting (17331) gives:
% 175.92/27.11 | | | | | | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | | | | | | Case 1:
% 175.92/27.11 | | | | | | | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | | | | | | | (17332) all_63_15 = e1
% 175.92/27.11 | | | | | | | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | | | | | | | REF_CLOSE: (422), (17327), (17332) are inconsistent by
% 175.92/27.11 | | | | | | | | | | | | | | | | sub-proof #499.
% 175.92/27.11 | | | | | | | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | | | | | | Case 2:
% 175.92/27.11 | | | | | | | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | | | | | | | (17333) all_63_15 = e0
% 175.92/27.11 | | | | | | | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | | | | | | | COMBINE_EQS: (422), (17333) imply:
% 175.92/27.11 | | | | | | | | | | | | | | | | (17334) all_20_2 = e0
% 175.92/27.11 | | | | | | | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | | | | | | | SIMP: (17334) implies:
% 175.92/27.11 | | | | | | | | | | | | | | | | (17335) all_20_2 = e0
% 175.92/27.11 | | | | | | | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | | | | | | | REDUCE: (625), (17335) imply:
% 175.92/27.11 | | | | | | | | | | | | | | | | (17336) ~ (all_61_12 = e0)
% 175.92/27.11 | | | | | | | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | | | | | | | REDUCE: (626), (17335) imply:
% 175.92/27.11 | | | | | | | | | | | | | | | | (17337) ~ (all_61_13 = e0)
% 175.92/27.11 | | | | | | | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | | | | | | | REDUCE: (11656), (17335) imply:
% 175.92/27.11 | | | | | | | | | | | | | | | | (17338) ~ (all_8_1 = e0)
% 175.92/27.11 | | | | | | | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | | | | | | | REDUCE: (11662), (17335) imply:
% 175.92/27.11 | | | | | | | | | | | | | | | | (17339) op(all_8_1, e1) = e0
% 175.92/27.11 | | | | | | | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | | | | | | | REDUCE: (17322), (17335) imply:
% 175.92/27.11 | | | | | | | | | | | | | | | | (17340) op(e3, e0) = all_65_73
% 175.92/27.11 | | | | | | | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | | | | | | | REDUCE: (15512), (17335) imply:
% 175.92/27.11 | | | | | | | | | | | | | | | | (17341) op(e2, e0) = all_65_75
% 175.92/27.11 | | | | | | | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | | | | | | | REDUCE: (11689), (17335) imply:
% 175.92/27.11 | | | | | | | | | | | | | | | | (17342) op(e1, e0) = all_65_77
% 175.92/27.11 | | | | | | | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | | | | | | | REDUCE: (764), (17335) imply:
% 175.92/27.11 | | | | | | | | | | | | | | | | (17343) op(e0, e0) = all_65_78
% 175.92/27.11 | | | | | | | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | | | | | | | REDUCE: (76), (17335) imply:
% 175.92/27.11 | | | | | | | | | | | | | | | | (17344) op(e0, e0) = e0
% 175.92/27.11 | | | | | | | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e0, all_65_78, e0, e0,
% 175.92/27.11 | | | | | | | | | | | | | | | | simplifying with (17343), (17344) gives:
% 175.92/27.11 | | | | | | | | | | | | | | | | (17345) all_65_78 = e0
% 175.92/27.11 | | | | | | | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_8_1, all_65_77, e0,
% 175.92/27.11 | | | | | | | | | | | | | | | | e1, simplifying with (11606), (17342) gives:
% 175.92/27.11 | | | | | | | | | | | | | | | | (17346) all_65_77 = all_8_1
% 175.92/27.11 | | | | | | | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_13, all_65_75, e0,
% 175.92/27.11 | | | | | | | | | | | | | | | | e2, simplifying with (231), (17341) gives:
% 175.92/27.11 | | | | | | | | | | | | | | | | (17347) all_65_75 = all_61_13
% 175.92/27.11 | | | | | | | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_12, all_65_73, e0,
% 175.92/27.11 | | | | | | | | | | | | | | | | e3, simplifying with (235), (17340) gives:
% 175.92/27.11 | | | | | | | | | | | | | | | | (17348) all_65_73 = all_61_12
% 175.92/27.11 | | | | | | | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | | | | | | | BETA: splitting (157) gives:
% 175.92/27.11 | | | | | | | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | | | | | | | Case 1:
% 175.92/27.11 | | | | | | | | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | | | | | | | | (17349) ~ (all_58_3 = e1)
% 175.92/27.11 | | | | | | | | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | | | | | | | | REDUCE: (475), (17349) imply:
% 175.92/27.11 | | | | | | | | | | | | | | | | | (17350) ~ (all_52_3 = e1)
% 175.92/27.11 | | | | | | | | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | | | | | | | | BETA: splitting (158) gives:
% 175.92/27.11 | | | | | | | | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | | | | | | | | Case 1:
% 175.92/27.11 | | | | | | | | | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | | | | | | | | | (17351) ~ (all_58_3 = e2)
% 175.92/27.11 | | | | | | | | | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | | | | | | | | | REDUCE: (475), (17351) imply:
% 175.92/27.11 | | | | | | | | | | | | | | | | | | (17352) ~ (all_52_3 = e2)
% 175.92/27.11 | | | | | | | | | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | | | | | | | | | BETA: splitting (159) gives:
% 175.92/27.11 | | | | | | | | | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | | | | | | | | | Case 1:
% 175.92/27.11 | | | | | | | | | | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | | | | | | | | | | (17353) ~ (all_58_3 = e3)
% 175.92/27.11 | | | | | | | | | | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | | | | | | | | | | REDUCE: (475), (17353) imply:
% 175.92/27.11 | | | | | | | | | | | | | | | | | | | (17354) ~ (all_52_3 = e3)
% 175.92/27.11 | | | | | | | | | | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (50), (148), (187), (235), (269), (489),
% 175.92/27.11 | | | | | | | | | | | | | | | | | | | (539), (765), (11606), (11612), (11651), (17306),
% 175.92/27.11 | | | | | | | | | | | | | | | | | | | (17344), (17350), (17352), (17354) are
% 175.92/27.11 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #106.
% 175.92/27.11 | | | | | | | | | | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | | | | | | | | | Case 2:
% 175.92/27.11 | | | | | | | | | | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | | | | | | | | | | (17355) all_58_0 = e0
% 175.92/27.11 | | | | | | | | | | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (484), (17355) imply:
% 175.92/27.11 | | | | | | | | | | | | | | | | | | | (17356) all_52_0 = e0
% 175.92/27.11 | | | | | | | | | | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | | | | | | | | | | SIMP: (17356) implies:
% 175.92/27.11 | | | | | | | | | | | | | | | | | | | (17357) all_52_0 = e0
% 175.92/27.11 | | | | | | | | | | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | | | | | | | | | | REDUCE: (714), (17357) imply:
% 175.92/27.11 | | | | | | | | | | | | | | | | | | | (17358) op(e3, e0) = unit
% 175.92/27.11 | | | | | | | | | | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_12, unit, e0, e3,
% 175.92/27.11 | | | | | | | | | | | | | | | | | | | simplifying with (235), (17358) gives:
% 175.92/27.11 | | | | | | | | | | | | | | | | | | | (17359) all_61_12 = unit
% 175.92/27.11 | | | | | | | | | | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (491), (17359) imply:
% 175.92/27.11 | | | | | | | | | | | | | | | | | | | (17360) all_63_3 = unit
% 175.92/27.11 | | | | | | | | | | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | | | | | | | | | | REDUCE: (187), (17359) imply:
% 175.92/27.11 | | | | | | | | | | | | | | | | | | | (17361) ~ (all_61_8 = unit)
% 175.92/27.11 | | | | | | | | | | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | | | | | | | | | | REDUCE: (11653), (17359) imply:
% 175.92/27.11 | | | | | | | | | | | | | | | | | | | (17362) ~ (all_8_1 = unit)
% 175.92/27.11 | | | | | | | | | | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | | | | | | | | | | SIMP: (17362) implies:
% 175.92/27.11 | | | | | | | | | | | | | | | | | | | (17363) ~ (all_8_1 = unit)
% 175.92/27.11 | | | | | | | | | | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | | | | | | | | | | REDUCE: (17316), (17359) imply:
% 175.92/27.11 | | | | | | | | | | | | | | | | | | | (17364) ~ (unit = e2)
% 175.92/27.11 | | | | | | | | | | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | | | | | | | | | | REDUCE: (17336), (17359) imply:
% 175.92/27.11 | | | | | | | | | | | | | | | | | | | (17365) ~ (unit = e0)
% 175.92/27.11 | | | | | | | | | | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | | | | | | | | | | BETA: splitting (268) gives:
% 175.92/27.11 | | | | | | | | | | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | | | | | | | | | | Case 1:
% 175.92/27.11 | | | | | | | | | | | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | | | | | | | | | | | (17366) all_63_3 = e3
% 175.92/27.11 | | | | | | | | | | | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (17360), (17366) imply:
% 175.92/27.11 | | | | | | | | | | | | | | | | | | | | (17367) unit = e3
% 175.92/27.11 | | | | | | | | | | | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | | | | | | | | | | | REDUCE: (11696), (17367) imply:
% 175.92/27.11 | | | | | | | | | | | | | | | | | | | | (17368) $false
% 175.92/27.11 | | | | | | | | | | | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | | | | | | | | | | | CLOSE: (17368) is inconsistent.
% 175.92/27.11 | | | | | | | | | | | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | | | | | | | | | | Case 2:
% 175.92/27.11 | | | | | | | | | | | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | | | | | | | | | | | (17369) all_63_3 = e2 | all_63_3 = e1 | all_63_3 = e0
% 175.92/27.11 | | | | | | | | | | | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | | | | | | | | | | | BETA: splitting (17369) gives:
% 175.92/27.11 | | | | | | | | | | | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.92/27.11 | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | | | | | | | | | | | | (17370) all_63_3 = e2
% 175.92/27.11 | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (17360), (17370) imply:
% 175.92/27.11 | | | | | | | | | | | | | | | | | | | | | (17371) unit = e2
% 175.92/27.11 | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | | | | | | | | | | | | REDUCE: (17364), (17371) imply:
% 175.92/27.11 | | | | | | | | | | | | | | | | | | | | | (17372) $false
% 175.92/27.11 | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | | | | | | | | | | | | CLOSE: (17372) is inconsistent.
% 175.92/27.11 | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.92/27.11 | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | | | | | | | | | | | | (17373) all_63_3 = e1 | all_63_3 = e0
% 175.92/27.11 | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17373) gives:
% 175.92/27.11 | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.92/27.11 | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | | | | | | | | | | | | | (17374) all_63_3 = e1
% 175.92/27.11 | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (17360), (17374) imply:
% 175.92/27.11 | | | | | | | | | | | | | | | | | | | | | | (17375) unit = e1
% 175.92/27.11 | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17361), (17375) imply:
% 175.92/27.11 | | | | | | | | | | | | | | | | | | | | | | (17376) ~ (all_61_8 = e1)
% 175.92/27.11 | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17363), (17375) imply:
% 175.92/27.11 | | | | | | | | | | | | | | | | | | | | | | (17377) ~ (all_8_1 = e1)
% 175.92/27.11 | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (269) gives:
% 175.92/27.11 | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.92/27.11 | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | | | | | | | | | | | | | | (17378) all_63_2 = e3
% 175.92/27.11 | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (489), (17378) imply:
% 175.92/27.11 | | | | | | | | | | | | | | | | | | | | | | | (17379) all_61_8 = e3
% 175.92/27.11 | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15456), (17379) imply:
% 175.92/27.11 | | | | | | | | | | | | | | | | | | | | | | | (17380) ~ (all_12_1 = e3)
% 175.92/27.11 | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (17380) implies:
% 175.92/27.11 | | | | | | | | | | | | | | | | | | | | | | | (17381) ~ (all_12_1 = e3)
% 175.92/27.11 | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11651), (17379) imply:
% 175.92/27.11 | | | | | | | | | | | | | | | | | | | | | | | (17382) ~ (all_8_1 = e3)
% 175.92/27.11 | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (17382) implies:
% 175.92/27.11 | | | | | | | | | | | | | | | | | | | | | | | (17383) ~ (all_8_1 = e3)
% 175.92/27.11 | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (265) gives:
% 175.92/27.11 | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.92/27.11 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | | | | | | | | | | | | | | | (17384) all_63_6 = e3
% 175.92/27.11 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15450), (17384) imply:
% 175.92/27.11 | | | | | | | | | | | | | | | | | | | | | | | | (17385) all_12_1 = e3
% 175.92/27.11 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17381), (17385) imply:
% 175.92/27.11 | | | | | | | | | | | | | | | | | | | | | | | | (17386) $false
% 175.92/27.11 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (17386) is inconsistent.
% 175.92/27.11 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.92/27.11 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | | | | | | | | | | | | | | | (17387) all_63_6 = e2 | all_63_6 = e1 | all_63_6 = e0
% 175.92/27.11 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17387) gives:
% 175.92/27.11 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.92/27.11 | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | (17388) all_63_6 = e2
% 175.92/27.11 | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15450), (17388) imply:
% 175.92/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | (17389) all_12_1 = e2
% 175.92/27.11 | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15457), (17389) imply:
% 175.92/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | (17390) ~ (all_8_1 = e2)
% 175.92/27.11 | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (17390) implies:
% 175.92/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | (17391) ~ (all_8_1 = e2)
% 175.92/27.11 | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (257), (11645), (11657), (17377), (17383), (17391)
% 175.92/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #150.
% 175.92/27.11 | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.92/27.11 | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | (17392) all_63_6 = e1 | all_63_6 = e0
% 175.92/27.11 | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (497), (11613), (15417), (17392) are inconsistent
% 175.92/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #408.
% 175.92/27.11 | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.92/27.11 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.92/27.11 | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.92/27.11 | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | | | | | | | | | | | | | | (17393) all_63_2 = e2 | all_63_2 = e1 | all_63_2 = e0
% 175.92/27.11 | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (489), (11612), (17306), (17376), (17393) are
% 175.92/27.11 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #401.
% 175.92/27.11 | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.92/27.11 | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.92/27.11 | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | | | | | | | | | | | | | (17394) all_63_3 = e0
% 175.92/27.11 | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (17360), (17394) imply:
% 175.92/27.11 | | | | | | | | | | | | | | | | | | | | | | (17395) unit = e0
% 175.92/27.11 | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17365), (17395) imply:
% 175.92/27.11 | | | | | | | | | | | | | | | | | | | | | | (17396) $false
% 175.92/27.11 | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (17396) is inconsistent.
% 175.92/27.11 | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | | | | | | | | | | | | End of split
% 175.92/27.11 | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | | | | | | | | | | | End of split
% 175.92/27.11 | | | | | | | | | | | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | | | | | | | | | | End of split
% 175.92/27.11 | | | | | | | | | | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | | | | | | | | | End of split
% 175.92/27.11 | | | | | | | | | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | | | | | | | | Case 2:
% 175.92/27.11 | | | | | | | | | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | | | | | | | | | (17397) all_58_1 = e0
% 175.92/27.11 | | | | | | | | | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (481), (17397) imply:
% 175.92/27.11 | | | | | | | | | | | | | | | | | | (17398) all_52_1 = e0
% 175.92/27.11 | | | | | | | | | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | | | | | | | | | SIMP: (17398) implies:
% 175.92/27.11 | | | | | | | | | | | | | | | | | | (17399) all_52_1 = e0
% 175.92/27.11 | | | | | | | | | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | | | | | | | | | REDUCE: (731), (17399) imply:
% 175.92/27.11 | | | | | | | | | | | | | | | | | | (17400) op(e2, e0) = unit
% 175.92/27.11 | | | | | | | | | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_13, unit, e0, e2,
% 175.92/27.11 | | | | | | | | | | | | | | | | | | simplifying with (231), (17400) gives:
% 175.92/27.11 | | | | | | | | | | | | | | | | | | (17401) all_61_13 = unit
% 175.92/27.11 | | | | | | | | | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | | | | | | | | | REDUCE: (15487), (17401) imply:
% 175.92/27.11 | | | | | | | | | | | | | | | | | | (17402) ~ (all_12_1 = unit)
% 175.92/27.11 | | | | | | | | | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | | | | | | | | | SIMP: (17402) implies:
% 175.92/27.11 | | | | | | | | | | | | | | | | | | (17403) ~ (all_12_1 = unit)
% 175.92/27.11 | | | | | | | | | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | | | | | | | | | REDUCE: (11654), (17401) imply:
% 175.92/27.11 | | | | | | | | | | | | | | | | | | (17404) ~ (all_8_1 = unit)
% 175.92/27.11 | | | | | | | | | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | | | | | | | | | SIMP: (17404) implies:
% 175.92/27.11 | | | | | | | | | | | | | | | | | | (17405) ~ (all_8_1 = unit)
% 175.92/27.11 | | | | | | | | | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | | | | | | | | | REDUCE: (15488), (17401) imply:
% 175.92/27.11 | | | | | | | | | | | | | | | | | | (17406) ~ (unit = e1)
% 175.92/27.11 | | | | | | | | | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | | | | | | | | | REDUCE: (17337), (17401) imply:
% 175.92/27.11 | | | | | | | | | | | | | | | | | | (17407) ~ (unit = e0)
% 175.92/27.11 | | | | | | | | | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | | | | | | | | | BETA: splitting (11697) gives:
% 175.92/27.11 | | | | | | | | | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | | | | | | | | | Case 1:
% 175.92/27.11 | | | | | | | | | | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | | | | | | | | | | (17408) unit = e2
% 175.92/27.11 | | | | | | | | | | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | | | | | | | | | | REDUCE: (17403), (17408) imply:
% 175.92/27.11 | | | | | | | | | | | | | | | | | | | (17409) ~ (all_12_1 = e2)
% 175.92/27.11 | | | | | | | | | | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | | | | | | | | | | REDUCE: (17405), (17408) imply:
% 175.92/27.11 | | | | | | | | | | | | | | | | | | | (17410) ~ (all_8_1 = e2)
% 175.92/27.11 | | | | | | | | | | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | | | | | | | | | | BETA: splitting (265) gives:
% 175.92/27.11 | | | | | | | | | | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | | | | | | | | | | Case 1:
% 175.92/27.11 | | | | | | | | | | | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | | | | | | | | | | | (17411) all_63_6 = e3
% 175.92/27.11 | | | | | | | | | | | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15450), (17411) imply:
% 175.92/27.11 | | | | | | | | | | | | | | | | | | | | (17412) all_12_1 = e3
% 175.92/27.11 | | | | | | | | | | | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | | | | | | | | | | | REDUCE: (15456), (17412) imply:
% 175.92/27.11 | | | | | | | | | | | | | | | | | | | | (17413) ~ (all_61_8 = e3)
% 175.92/27.11 | | | | | | | | | | | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | | | | | | | | | | | REDUCE: (15457), (17412) imply:
% 175.92/27.11 | | | | | | | | | | | | | | | | | | | | (17414) ~ (all_8_1 = e3)
% 175.92/27.11 | | | | | | | | | | | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | | | | | | | | | | | SIMP: (17414) implies:
% 175.92/27.11 | | | | | | | | | | | | | | | | | | | | (17415) ~ (all_8_1 = e3)
% 175.92/27.11 | | | | | | | | | | | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (257), (263), (11612), (11645), (11651), (11657),
% 175.92/27.11 | | | | | | | | | | | | | | | | | | | | (17302), (17306), (17410), (17413), (17415) are
% 175.92/27.11 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #113.
% 175.92/27.11 | | | | | | | | | | | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | | | | | | | | | | Case 2:
% 175.92/27.11 | | | | | | | | | | | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | | | | | | | | | | | (17416) all_63_6 = e2 | all_63_6 = e1 | all_63_6 = e0
% 175.92/27.11 | | | | | | | | | | | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (497), (11613), (15417), (15450), (17409), (17416)
% 175.92/27.11 | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #125.
% 175.92/27.11 | | | | | | | | | | | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | | | | | | | | | | End of split
% 175.92/27.11 | | | | | | | | | | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | | | | | | | | | Case 2:
% 175.92/27.11 | | | | | | | | | | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | | | | | | | | | | (17417) unit = e1 | unit = e0
% 175.92/27.11 | | | | | | | | | | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17406), (17407), (17417) are inconsistent by
% 175.92/27.11 | | | | | | | | | | | | | | | | | | | sub-proof #419.
% 175.92/27.11 | | | | | | | | | | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | | | | | | | | | End of split
% 175.92/27.11 | | | | | | | | | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | | | | | | | | End of split
% 175.92/27.11 | | | | | | | | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | | | | | | | Case 2:
% 175.92/27.11 | | | | | | | | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | | | | | | | | (17418) all_58_3 = e1
% 175.92/27.11 | | | | | | | | | | | | | | | | | (17419) all_58_2 = e0
% 175.92/27.11 | | | | | | | | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (50), (475), (478), (633), (748), (11606),
% 175.92/27.11 | | | | | | | | | | | | | | | | | (17339), (17418), (17419) are inconsistent by
% 175.92/27.11 | | | | | | | | | | | | | | | | | sub-proof #166.
% 175.92/27.11 | | | | | | | | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | | | | | | | End of split
% 175.92/27.11 | | | | | | | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | | | | | | End of split
% 175.92/27.11 | | | | | | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | | | | | End of split
% 175.92/27.11 | | | | | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | | | | End of split
% 175.92/27.11 | | | | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | | | Case 2:
% 175.92/27.11 | | | | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | | | | (17420) all_42_2 = e1
% 175.92/27.11 | | | | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | | | | COMBINE_EQS: (532), (17420) imply:
% 175.92/27.11 | | | | | | | | | | | | | (17421) all_20_2 = e1
% 175.92/27.11 | | | | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | | | | SIMP: (17421) implies:
% 175.92/27.11 | | | | | | | | | | | | | (17422) all_20_2 = e1
% 175.92/27.11 | | | | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | | | | COMBINE_EQS: (582), (17422) imply:
% 175.92/27.11 | | | | | | | | | | | | | (17423) all_50_2 = e1
% 175.92/27.11 | | | | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | | | | REDUCE: (625), (17422) imply:
% 175.92/27.11 | | | | | | | | | | | | | (17424) ~ (all_61_12 = e1)
% 175.92/27.11 | | | | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | | | | REDUCE: (11656), (17422) imply:
% 175.92/27.11 | | | | | | | | | | | | | (17425) ~ (all_8_1 = e1)
% 175.92/27.11 | | | | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | | | | SIMP: (17425) implies:
% 175.92/27.11 | | | | | | | | | | | | | (17426) ~ (all_8_1 = e1)
% 175.92/27.11 | | | | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | | | | REDUCE: (697), (17422) imply:
% 175.92/27.11 | | | | | | | | | | | | | (17427) op(e1, e0) = all_65_78
% 175.92/27.11 | | | | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | | | | REDUCE: (11662), (17422) imply:
% 175.92/27.11 | | | | | | | | | | | | | (17428) op(all_8_1, e1) = e1
% 175.92/27.11 | | | | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | | | | REDUCE: (15512), (17422) imply:
% 175.92/27.11 | | | | | | | | | | | | | (17429) op(e2, e1) = all_65_75
% 175.92/27.11 | | | | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | | | | REDUCE: (11689), (17422) imply:
% 175.92/27.11 | | | | | | | | | | | | | (17430) op(e1, e1) = all_65_77
% 175.92/27.11 | | | | | | | | | | | | |
% 175.92/27.11 | | | | | | | | | | | | | REDUCE: (764), (17422) imply:
% 175.92/27.12 | | | | | | | | | | | | | (17431) op(e0, e1) = all_65_78
% 175.92/27.12 | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | REDUCE: (76), (17422) imply:
% 175.92/27.12 | | | | | | | | | | | | | (17432) op(e0, e0) = e1
% 175.92/27.12 | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | BETA: splitting (122) gives:
% 175.92/27.12 | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | Case 1:
% 175.92/27.12 | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | (17433) ~ (all_50_2 = e1)
% 175.92/27.12 | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | REDUCE: (17423), (17433) imply:
% 175.92/27.12 | | | | | | | | | | | | | | (17434) $false
% 175.92/27.12 | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | CLOSE: (17434) is inconsistent.
% 175.92/27.12 | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | Case 2:
% 175.92/27.12 | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | (17435) op(e0, e1) = all_50_1 & $i(all_50_1) & ( ~
% 175.92/27.12 | | | | | | | | | | | | | | (all_50_1 = e2) | ( ~ (all_50_0 = e3) & op(e2,
% 175.92/27.12 | | | | | | | | | | | | | | e0) = all_50_0 & $i(all_50_0)))
% 175.92/27.12 | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | ALPHA: (17435) implies:
% 175.92/27.12 | | | | | | | | | | | | | | (17436) op(e0, e1) = all_50_1
% 175.92/27.12 | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_50_1, all_65_78, e1,
% 175.92/27.12 | | | | | | | | | | | | | | e0, simplifying with (17431), (17436) gives:
% 175.92/27.12 | | | | | | | | | | | | | | (17437) all_65_78 = all_50_1
% 175.92/27.12 | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_8_1, all_65_78, e0,
% 175.92/27.12 | | | | | | | | | | | | | | e1, simplifying with (11606), (17427) gives:
% 175.92/27.12 | | | | | | | | | | | | | | (17438) all_65_78 = all_8_1
% 175.92/27.12 | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e0, all_65_77, e1, e1,
% 175.92/27.12 | | | | | | | | | | | | | | simplifying with (11622), (17430) gives:
% 175.92/27.12 | | | | | | | | | | | | | | (17439) all_65_77 = e0
% 175.92/27.12 | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_12_1, all_65_75, e1,
% 175.92/27.12 | | | | | | | | | | | | | | e2, simplifying with (15409), (17429) gives:
% 175.92/27.12 | | | | | | | | | | | | | | (17440) all_65_75 = all_12_1
% 175.92/27.12 | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | COMBINE_EQS: (17437), (17438) imply:
% 175.92/27.12 | | | | | | | | | | | | | | (17441) all_50_1 = all_8_1
% 175.92/27.12 | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | BETA: splitting (161) gives:
% 175.92/27.12 | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | Case 1:
% 175.92/27.12 | | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | | (17442) ~ (all_58_2 = e2)
% 175.92/27.12 | | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | | REDUCE: (478), (17442) imply:
% 175.92/27.12 | | | | | | | | | | | | | | | (17443) ~ (all_52_2 = e2)
% 175.92/27.12 | | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | | BETA: splitting (160) gives:
% 175.92/27.12 | | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | | Case 1:
% 175.92/27.12 | | | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | | | (17444) ~ (all_58_2 = e0)
% 175.92/27.12 | | | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | | | REDUCE: (478), (17444) imply:
% 175.92/27.12 | | | | | | | | | | | | | | | | (17445) ~ (all_52_2 = e0)
% 175.92/27.12 | | | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | | | BETA: splitting (159) gives:
% 175.92/27.12 | | | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | | | Case 1:
% 175.92/27.12 | | | | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | | | | (17446) ~ (all_58_3 = e3)
% 175.92/27.12 | | | | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | | | | REDUCE: (475), (17446) imply:
% 175.92/27.12 | | | | | | | | | | | | | | | | | (17447) ~ (all_52_3 = e3)
% 175.92/27.12 | | | | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | | | | BETA: splitting (166) gives:
% 175.92/27.12 | | | | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | | | | Case 1:
% 175.92/27.12 | | | | | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | | | | | (17448) ~ (all_58_0 = e0)
% 175.92/27.12 | | | | | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | | | | | REDUCE: (484), (17448) imply:
% 175.92/27.12 | | | | | | | | | | | | | | | | | | (17449) ~ (all_52_0 = e0)
% 175.92/27.12 | | | | | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | | | | | BETA: splitting (162) gives:
% 175.92/27.12 | | | | | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | | | | | Case 1:
% 175.92/27.12 | | | | | | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | | | | | | (17450) ~ (all_58_2 = e3)
% 175.92/27.12 | | | | | | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | | | | | | REDUCE: (478), (17450) imply:
% 175.92/27.12 | | | | | | | | | | | | | | | | | | | (17451) ~ (all_52_2 = e3)
% 175.92/27.12 | | | | | | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (50), (149), (538), (748), (11622), (17432),
% 175.92/27.12 | | | | | | | | | | | | | | | | | | | (17443), (17445), (17451) are inconsistent by
% 175.92/27.12 | | | | | | | | | | | | | | | | | | | sub-proof #194.
% 175.92/27.12 | | | | | | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | | | | | Case 2:
% 175.92/27.12 | | | | | | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | | | | | | (17452) all_58_2 = e3
% 175.92/27.12 | | | | | | | | | | | | | | | | | | | (17453) all_58_0 = e1
% 175.92/27.12 | | | | | | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (9), (50), (150), (163), (231), (478),
% 175.92/27.12 | | | | | | | | | | | | | | | | | | | (481), (484), (536), (628), (631), (731), (11606),
% 175.92/27.12 | | | | | | | | | | | | | | | | | | | (11622), (11654), (11697), (15425), (15488),
% 175.92/27.12 | | | | | | | | | | | | | | | | | | | (15491), (15492), (15511), (15513), (17449),
% 175.92/27.12 | | | | | | | | | | | | | | | | | | | (17452), (17453) are inconsistent by sub-proof
% 175.92/27.12 | | | | | | | | | | | | | | | | | | | #122.
% 175.92/27.12 | | | | | | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | | | | | End of split
% 175.92/27.12 | | | | | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | | | | Case 2:
% 175.92/27.12 | | | | | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | | | | | (17454) all_58_3 = e3
% 175.92/27.12 | | | | | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | | | | | REF_CLOSE: (475), (17447), (17454) are inconsistent by
% 175.92/27.12 | | | | | | | | | | | | | | | | | | sub-proof #509.
% 175.92/27.12 | | | | | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | | | | End of split
% 175.92/27.12 | | | | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | | | Case 2:
% 175.92/27.12 | | | | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | | | | (17455) all_58_3 = e3
% 175.92/27.12 | | | | | | | | | | | | | | | | | (17456) all_58_0 = e0
% 175.92/27.12 | | | | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | | | | COMBINE_EQS: (484), (17456) imply:
% 175.92/27.12 | | | | | | | | | | | | | | | | | (17457) all_52_0 = e0
% 175.92/27.12 | | | | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | | | | SIMP: (17457) implies:
% 175.92/27.12 | | | | | | | | | | | | | | | | | (17458) all_52_0 = e0
% 175.92/27.12 | | | | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | | | | COMBINE_EQS: (475), (17455) imply:
% 175.92/27.12 | | | | | | | | | | | | | | | | | (17459) all_52_3 = e3
% 175.92/27.12 | | | | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | | | | REDUCE: (629), (17458) imply:
% 175.92/27.12 | | | | | | | | | | | | | | | | | (17460) ~ (all_52_2 = e0)
% 175.92/27.12 | | | | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | | | | REDUCE: (633), (17459) imply:
% 175.92/27.12 | | | | | | | | | | | | | | | | | (17461) ~ (all_52_2 = e3)
% 175.92/27.12 | | | | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (50), (149), (538), (748), (11622), (17432),
% 175.92/27.12 | | | | | | | | | | | | | | | | | (17443), (17445), (17461) are inconsistent by
% 175.92/27.12 | | | | | | | | | | | | | | | | | sub-proof #194.
% 175.92/27.12 | | | | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | | | End of split
% 175.92/27.12 | | | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | | Case 2:
% 175.92/27.12 | | | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | | | (17462) all_58_2 = e0
% 175.92/27.12 | | | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | | | COMBINE_EQS: (478), (17462) imply:
% 175.92/27.12 | | | | | | | | | | | | | | | | (17463) all_52_2 = e0
% 175.92/27.12 | | | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | | | REF_CLOSE: (10), (50), (190), (232), (260), (269), (489),
% 175.92/27.12 | | | | | | | | | | | | | | | | (748), (11606), (11612), (11628), (11644),
% 175.92/27.12 | | | | | | | | | | | | | | | | (11646), (11651), (11657), (11660), (11696),
% 175.92/27.12 | | | | | | | | | | | | | | | | (11697), (17297), (17305), (17426), (17428),
% 175.92/27.12 | | | | | | | | | | | | | | | | (17463) are inconsistent by sub-proof #134.
% 175.92/27.12 | | | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | | End of split
% 175.92/27.12 | | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | Case 2:
% 175.92/27.12 | | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | | (17464) all_58_1 = e1
% 175.92/27.12 | | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | | COMBINE_EQS: (481), (17464) imply:
% 175.92/27.12 | | | | | | | | | | | | | | | (17465) all_52_1 = e1
% 175.92/27.12 | | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | | SIMP: (17465) implies:
% 175.92/27.12 | | | | | | | | | | | | | | | (17466) all_52_1 = e1
% 175.92/27.12 | | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | | REDUCE: (731), (17466) imply:
% 175.92/27.12 | | | | | | | | | | | | | | | (17467) op(e2, e1) = unit
% 175.92/27.12 | | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_12_1, unit, e1, e2,
% 175.92/27.12 | | | | | | | | | | | | | | | simplifying with (15409), (17467) gives:
% 175.92/27.12 | | | | | | | | | | | | | | | (17468) all_12_1 = unit
% 175.92/27.12 | | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | | REDUCE: (15487), (17468) imply:
% 175.92/27.12 | | | | | | | | | | | | | | | (17469) ~ (all_61_13 = unit)
% 175.92/27.12 | | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | | REDUCE: (15457), (17468) imply:
% 175.92/27.12 | | | | | | | | | | | | | | | (17470) ~ (all_8_1 = unit)
% 175.92/27.12 | | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | | SIMP: (17470) implies:
% 175.92/27.12 | | | | | | | | | | | | | | | (17471) ~ (all_8_1 = unit)
% 175.92/27.12 | | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | | REDUCE: (15458), (17468) imply:
% 175.92/27.12 | | | | | | | | | | | | | | | (17472) ~ (unit = e1)
% 175.92/27.12 | | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | | REDUCE: (15459), (17468) imply:
% 175.92/27.12 | | | | | | | | | | | | | | | (17473) ~ (unit = e0)
% 175.92/27.12 | | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | | BETA: splitting (11697) gives:
% 175.92/27.12 | | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | | Case 1:
% 175.92/27.12 | | | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | | | (17474) unit = e2
% 175.92/27.12 | | | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | | | REDUCE: (17469), (17474) imply:
% 175.92/27.12 | | | | | | | | | | | | | | | | (17475) ~ (all_61_13 = e2)
% 175.92/27.12 | | | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | | | REDUCE: (17471), (17474) imply:
% 175.92/27.12 | | | | | | | | | | | | | | | | (17476) ~ (all_8_1 = e2)
% 175.92/27.12 | | | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | | | BETA: splitting (257) gives:
% 175.92/27.12 | | | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | | | Case 1:
% 175.92/27.12 | | | | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | | | | (17477) all_63_14 = e3
% 175.92/27.12 | | | | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | | | | COMBINE_EQS: (11645), (17477) imply:
% 175.92/27.12 | | | | | | | | | | | | | | | | | (17478) all_8_1 = e3
% 175.92/27.12 | | | | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | | | | REDUCE: (11653), (17478) imply:
% 175.92/27.12 | | | | | | | | | | | | | | | | | (17479) ~ (all_61_12 = e3)
% 175.92/27.12 | | | | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | | | | REDUCE: (11654), (17478) imply:
% 175.92/27.12 | | | | | | | | | | | | | | | | | (17480) ~ (all_61_13 = e3)
% 175.92/27.12 | | | | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | | | | BETA: splitting (259) gives:
% 175.92/27.12 | | | | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | | | | Case 1:
% 175.92/27.12 | | | | | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | | | | | (17481) all_63_12 = e3
% 175.92/27.12 | | | | | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (17313), (17481) imply:
% 175.92/27.12 | | | | | | | | | | | | | | | | | | (17482) all_61_12 = e3
% 175.92/27.12 | | | | | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | | | | | REDUCE: (17479), (17482) imply:
% 175.92/27.12 | | | | | | | | | | | | | | | | | | (17483) $false
% 175.92/27.12 | | | | | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | | | | | CLOSE: (17483) is inconsistent.
% 175.92/27.12 | | | | | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | | | | Case 2:
% 175.92/27.12 | | | | | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | | | | | (17484) all_63_12 = e2 | all_63_12 = e1 | all_63_12 = e0
% 175.92/27.12 | | | | | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | | | | | REF_CLOSE: (180), (264), (498), (15488), (17313), (17316),
% 175.92/27.12 | | | | | | | | | | | | | | | | | | (17424), (17475), (17480), (17484) are
% 175.92/27.12 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #105.
% 175.92/27.12 | | | | | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | | | | End of split
% 175.92/27.12 | | | | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | | | Case 2:
% 175.92/27.12 | | | | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | | | | (17485) all_63_14 = e2 | all_63_14 = e1 | all_63_14 = e0
% 175.92/27.12 | | | | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | | | | REF_CLOSE: (11645), (11657), (17426), (17476), (17485) are
% 175.92/27.12 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #153.
% 175.92/27.12 | | | | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | | | End of split
% 175.92/27.12 | | | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | | Case 2:
% 175.92/27.12 | | | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | | | (17486) unit = e1 | unit = e0
% 175.92/27.12 | | | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | | | REF_CLOSE: (17472), (17473), (17486) are inconsistent by
% 175.92/27.12 | | | | | | | | | | | | | | | | sub-proof #419.
% 175.92/27.12 | | | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | | End of split
% 175.92/27.12 | | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | End of split
% 175.92/27.12 | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | End of split
% 175.92/27.12 | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | End of split
% 175.92/27.12 | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | Case 2:
% 175.92/27.12 | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | (17487) all_28_2 = e3
% 175.92/27.12 | | | | | | | | | | | | (17488) op(e0, e3) = all_28_1 & $i(all_28_1) & ( ~
% 175.92/27.12 | | | | | | | | | | | | (all_28_1 = e2) | ( ~ (all_28_0 = e1) & op(e2,
% 175.92/27.12 | | | | | | | | | | | | e0) = all_28_0 & $i(all_28_0)))
% 175.92/27.12 | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | ALPHA: (17488) implies:
% 175.92/27.12 | | | | | | | | | | | | (17489) op(e0, e3) = all_28_1
% 175.92/27.12 | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | COMBINE_EQS: (563), (17487) imply:
% 175.92/27.12 | | | | | | | | | | | | (17490) all_20_2 = e3
% 175.92/27.12 | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | SIMP: (17490) implies:
% 175.92/27.12 | | | | | | | | | | | | (17491) all_20_2 = e3
% 175.92/27.12 | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | COMBINE_EQS: (555), (17491) imply:
% 175.92/27.12 | | | | | | | | | | | | (17492) all_34_2 = e3
% 175.92/27.12 | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | REDUCE: (11656), (17491) imply:
% 175.92/27.12 | | | | | | | | | | | | (17493) ~ (all_8_1 = e3)
% 175.92/27.12 | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | SIMP: (17493) implies:
% 175.92/27.12 | | | | | | | | | | | | (17494) ~ (all_8_1 = e3)
% 175.92/27.12 | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | REDUCE: (697), (17491) imply:
% 175.92/27.12 | | | | | | | | | | | | (17495) op(e3, e0) = all_65_78
% 175.92/27.12 | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | REDUCE: (11662), (17491) imply:
% 175.92/27.12 | | | | | | | | | | | | (17496) op(all_8_1, e1) = e3
% 175.92/27.12 | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | REDUCE: (764), (17491) imply:
% 175.92/27.12 | | | | | | | | | | | | (17497) op(e0, e3) = all_65_78
% 175.92/27.12 | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | REDUCE: (76), (17491) imply:
% 175.92/27.12 | | | | | | | | | | | | (17498) op(e0, e0) = e3
% 175.92/27.12 | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | BETA: splitting (98) gives:
% 175.92/27.12 | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | Case 1:
% 175.92/27.12 | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | (17499) ~ (all_34_2 = e3)
% 175.92/27.12 | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | REDUCE: (17492), (17499) imply:
% 175.92/27.12 | | | | | | | | | | | | | (17500) $false
% 175.92/27.12 | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | CLOSE: (17500) is inconsistent.
% 175.92/27.12 | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | Case 2:
% 175.92/27.12 | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | (17501) op(e0, e3) = all_34_1 & $i(all_34_1) & ( ~
% 175.92/27.12 | | | | | | | | | | | | | (all_34_1 = e1) | ( ~ (all_34_0 = e2) & op(e1,
% 175.92/27.12 | | | | | | | | | | | | | e0) = all_34_0 & $i(all_34_0)))
% 175.92/27.12 | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | ALPHA: (17501) implies:
% 175.92/27.12 | | | | | | | | | | | | | (17502) op(e0, e3) = all_34_1
% 175.92/27.12 | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_34_1, all_65_78, e3,
% 175.92/27.12 | | | | | | | | | | | | | e0, simplifying with (17497), (17502) gives:
% 175.92/27.12 | | | | | | | | | | | | | (17503) all_65_78 = all_34_1
% 175.92/27.12 | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_28_1, all_65_78, e3,
% 175.92/27.12 | | | | | | | | | | | | | e0, simplifying with (17489), (17497) gives:
% 175.92/27.12 | | | | | | | | | | | | | (17504) all_65_78 = all_28_1
% 175.92/27.12 | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_12, all_65_78, e0,
% 175.92/27.12 | | | | | | | | | | | | | e3, simplifying with (235), (17495) gives:
% 175.92/27.12 | | | | | | | | | | | | | (17505) all_65_78 = all_61_12
% 175.92/27.12 | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | COMBINE_EQS: (17504), (17505) imply:
% 175.92/27.12 | | | | | | | | | | | | | (17506) all_61_12 = all_28_1
% 175.92/27.12 | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | COMBINE_EQS: (17503), (17505) imply:
% 175.92/27.12 | | | | | | | | | | | | | (17507) all_61_12 = all_34_1
% 175.92/27.12 | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | COMBINE_EQS: (17506), (17507) imply:
% 175.92/27.12 | | | | | | | | | | | | | (17508) all_34_1 = all_28_1
% 175.92/27.12 | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | COMBINE_EQS: (491), (17506) imply:
% 175.92/27.12 | | | | | | | | | | | | | (17509) all_63_3 = all_28_1
% 175.92/27.12 | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | REDUCE: (187), (17506) imply:
% 175.92/27.12 | | | | | | | | | | | | | (17510) ~ (all_61_8 = all_28_1)
% 175.92/27.12 | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | REDUCE: (17315), (17506) imply:
% 175.92/27.12 | | | | | | | | | | | | | (17511) ~ (all_28_1 = all_14_1)
% 175.92/27.12 | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | REDUCE: (11653), (17506) imply:
% 175.92/27.12 | | | | | | | | | | | | | (17512) ~ (all_28_1 = all_8_1)
% 175.92/27.12 | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | REDUCE: (17316), (17506) imply:
% 175.92/27.12 | | | | | | | | | | | | | (17513) ~ (all_28_1 = e2)
% 175.92/27.12 | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | BETA: splitting (161) gives:
% 175.92/27.12 | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | Case 1:
% 175.92/27.12 | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | (17514) ~ (all_58_2 = e2)
% 175.92/27.12 | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | REDUCE: (478), (17514) imply:
% 175.92/27.12 | | | | | | | | | | | | | | (17515) ~ (all_52_2 = e2)
% 175.92/27.12 | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | BETA: splitting (164) gives:
% 175.92/27.12 | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | Case 1:
% 175.92/27.12 | | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | | (17516) ~ (all_58_1 = e1)
% 175.92/27.12 | | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | | REDUCE: (481), (17516) imply:
% 175.92/27.12 | | | | | | | | | | | | | | | (17517) ~ (all_52_1 = e1)
% 175.92/27.12 | | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | | BETA: splitting (159) gives:
% 175.92/27.12 | | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | | Case 1:
% 175.92/27.12 | | | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | | | (17518) ~ (all_58_3 = e3)
% 175.92/27.12 | | | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | | | REDUCE: (475), (17518) imply:
% 175.92/27.12 | | | | | | | | | | | | | | | | (17519) ~ (all_52_3 = e3)
% 175.92/27.12 | | | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | | | BETA: splitting (157) gives:
% 175.92/27.12 | | | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | | | Case 1:
% 175.92/27.12 | | | | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | | | | (17520) ~ (all_58_3 = e1)
% 175.92/27.12 | | | | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | | | | REDUCE: (475), (17520) imply:
% 175.92/27.12 | | | | | | | | | | | | | | | | | (17521) ~ (all_52_3 = e1)
% 175.92/27.12 | | | | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | | | | BETA: splitting (158) gives:
% 175.92/27.12 | | | | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | | | | Case 1:
% 175.92/27.12 | | | | | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | | | | | (17522) ~ (all_58_3 = e2)
% 175.92/27.12 | | | | | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | | | | | REDUCE: (475), (17522) imply:
% 175.92/27.12 | | | | | | | | | | | | | | | | | | (17523) ~ (all_52_3 = e2)
% 175.92/27.12 | | | | | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | | | | | REF_CLOSE: (50), (148), (539), (765), (11696), (17498),
% 175.92/27.12 | | | | | | | | | | | | | | | | | | (17519), (17521), (17523) are inconsistent by
% 175.92/27.12 | | | | | | | | | | | | | | | | | | sub-proof #439.
% 175.92/27.12 | | | | | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | | | | Case 2:
% 175.92/27.12 | | | | | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | | | | | (17524) all_58_1 = e0
% 175.92/27.12 | | | | | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (50), (231), (481), (731), (11606),
% 175.92/27.12 | | | | | | | | | | | | | | | | | | (11654), (11697), (15488), (15491), (15492),
% 175.92/27.12 | | | | | | | | | | | | | | | | | | (15511), (15513), (17524) are inconsistent by
% 175.92/27.12 | | | | | | | | | | | | | | | | | | sub-proof #128.
% 175.92/27.12 | | | | | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | | | | End of split
% 175.92/27.12 | | | | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | | | Case 2:
% 175.92/27.12 | | | | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | | | | (17525) all_58_3 = e1
% 175.92/27.12 | | | | | | | | | | | | | | | | | (17526) all_58_2 = e0
% 175.92/27.12 | | | | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | | | | COMBINE_EQS: (478), (17526) imply:
% 175.92/27.12 | | | | | | | | | | | | | | | | | (17527) all_52_2 = e0
% 175.92/27.12 | | | | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (50), (475), (748), (11606), (17496),
% 175.92/27.12 | | | | | | | | | | | | | | | | | (17519), (17525), (17527) are inconsistent by
% 175.92/27.12 | | | | | | | | | | | | | | | | | sub-proof #104.
% 175.92/27.12 | | | | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | | | End of split
% 175.92/27.12 | | | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | | Case 2:
% 175.92/27.12 | | | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | | | (17528) all_58_3 = e3
% 175.92/27.12 | | | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | | | COMBINE_EQS: (475), (17528) imply:
% 175.92/27.12 | | | | | | | | | | | | | | | | (17529) all_52_3 = e3
% 175.92/27.12 | | | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | | | REDUCE: (632), (17529) imply:
% 175.92/27.12 | | | | | | | | | | | | | | | | (17530) ~ (all_52_1 = e3)
% 175.92/27.12 | | | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (9), (18), (50), (150), (163), (231),
% 175.92/27.12 | | | | | | | | | | | | | | | | (481), (536), (731), (11606), (11622), (11654),
% 175.92/27.12 | | | | | | | | | | | | | | | | (11697), (15425), (15488), (15491), (15492),
% 175.92/27.12 | | | | | | | | | | | | | | | | (15511), (15513), (17517), (17530) are
% 175.92/27.12 | | | | | | | | | | | | | | | | inconsistent by sub-proof #127.
% 175.92/27.12 | | | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | | End of split
% 175.92/27.12 | | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | Case 2:
% 175.92/27.12 | | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | | (17531) all_58_2 = e2
% 175.92/27.12 | | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | | COMBINE_EQS: (478), (17531) imply:
% 175.92/27.12 | | | | | | | | | | | | | | | (17532) all_52_2 = e2
% 175.92/27.12 | | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | | REDUCE: (17515), (17532) imply:
% 175.92/27.12 | | | | | | | | | | | | | | | (17533) $false
% 175.92/27.12 | | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | | CLOSE: (17533) is inconsistent.
% 175.92/27.12 | | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | End of split
% 175.92/27.12 | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | Case 2:
% 175.92/27.12 | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | (17534) all_58_1 = e1
% 175.92/27.12 | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | COMBINE_EQS: (481), (17534) imply:
% 175.92/27.12 | | | | | | | | | | | | | | (17535) all_52_1 = e1
% 175.92/27.12 | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | SIMP: (17535) implies:
% 175.92/27.12 | | | | | | | | | | | | | | (17536) all_52_1 = e1
% 175.92/27.12 | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | REDUCE: (731), (17536) imply:
% 175.92/27.12 | | | | | | | | | | | | | | (17537) op(e2, e1) = unit
% 175.92/27.12 | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_12_1, unit, e1, e2,
% 175.92/27.12 | | | | | | | | | | | | | | simplifying with (15409), (17537) gives:
% 175.92/27.12 | | | | | | | | | | | | | | (17538) all_12_1 = unit
% 175.92/27.12 | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | COMBINE_EQS: (15450), (17538) imply:
% 175.92/27.12 | | | | | | | | | | | | | | (17539) all_63_6 = unit
% 175.92/27.12 | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | REDUCE: (15456), (17538) imply:
% 175.92/27.12 | | | | | | | | | | | | | | (17540) ~ (all_61_8 = unit)
% 175.92/27.12 | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | REDUCE: (17291), (17538) imply:
% 175.92/27.12 | | | | | | | | | | | | | | (17541) ~ (all_14_1 = unit)
% 175.92/27.12 | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | REDUCE: (15457), (17538) imply:
% 175.92/27.12 | | | | | | | | | | | | | | (17542) ~ (all_8_1 = unit)
% 175.92/27.12 | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | SIMP: (17542) implies:
% 175.92/27.12 | | | | | | | | | | | | | | (17543) ~ (all_8_1 = unit)
% 175.92/27.12 | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | BETA: splitting (265) gives:
% 175.92/27.12 | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | Case 1:
% 175.92/27.12 | | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | | (17544) all_63_6 = e3
% 175.92/27.12 | | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | | COMBINE_EQS: (17539), (17544) imply:
% 175.92/27.12 | | | | | | | | | | | | | | | (17545) unit = e3
% 175.92/27.12 | | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | | REDUCE: (11696), (17545) imply:
% 175.92/27.12 | | | | | | | | | | | | | | | (17546) $false
% 175.92/27.12 | | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | | CLOSE: (17546) is inconsistent.
% 175.92/27.12 | | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | Case 2:
% 175.92/27.12 | | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | | (17547) all_63_6 = e2 | all_63_6 = e1 | all_63_6 = e0
% 175.92/27.12 | | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | | BETA: splitting (17547) gives:
% 175.92/27.12 | | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | | Case 1:
% 175.92/27.12 | | | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | | | (17548) all_63_6 = e2
% 175.92/27.12 | | | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | | | COMBINE_EQS: (17539), (17548) imply:
% 175.92/27.12 | | | | | | | | | | | | | | | | (17549) unit = e2
% 175.92/27.12 | | | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | | | REDUCE: (17541), (17549) imply:
% 175.92/27.12 | | | | | | | | | | | | | | | | (17550) ~ (all_14_1 = e2)
% 175.92/27.12 | | | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | | | REDUCE: (17543), (17549) imply:
% 175.92/27.12 | | | | | | | | | | | | | | | | (17551) ~ (all_8_1 = e2)
% 175.92/27.12 | | | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | | | BETA: splitting (260) gives:
% 175.92/27.12 | | | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | | | Case 1:
% 175.92/27.12 | | | | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | | | | (17552) all_63_11 = e3
% 175.92/27.12 | | | | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | | | | COMBINE_EQS: (11646), (17552) imply:
% 175.92/27.12 | | | | | | | | | | | | | | | | | (17553) all_8_1 = e3
% 175.92/27.12 | | | | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | | | | REDUCE: (17494), (17553) imply:
% 175.92/27.12 | | | | | | | | | | | | | | | | | (17554) $false
% 175.92/27.12 | | | | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | | | | CLOSE: (17554) is inconsistent.
% 175.92/27.12 | | | | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | | | Case 2:
% 175.92/27.12 | | | | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | | | | (17555) all_63_11 = e2 | all_63_11 = e1 | all_63_11 = e0
% 175.92/27.12 | | | | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | | | | BETA: splitting (17555) gives:
% 175.92/27.12 | | | | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | | | | Case 1:
% 175.92/27.12 | | | | | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | | | | | (17556) all_63_11 = e2
% 175.92/27.12 | | | | | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11646), (17556) imply:
% 175.92/27.12 | | | | | | | | | | | | | | | | | | (17557) all_8_1 = e2
% 175.92/27.12 | | | | | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | | | | | REDUCE: (17551), (17557) imply:
% 175.92/27.12 | | | | | | | | | | | | | | | | | | (17558) $false
% 175.92/27.12 | | | | | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | | | | | CLOSE: (17558) is inconsistent.
% 175.92/27.12 | | | | | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | | | | Case 2:
% 175.92/27.12 | | | | | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | | | | | (17559) all_63_11 = e1 | all_63_11 = e0
% 175.92/27.12 | | | | | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | | | | | BETA: splitting (17559) gives:
% 175.92/27.12 | | | | | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | | | | | Case 1:
% 175.92/27.12 | | | | | | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | | | | | | (17560) all_63_11 = e1
% 175.92/27.12 | | | | | | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11646), (17560) imply:
% 175.92/27.12 | | | | | | | | | | | | | | | | | | | (17561) all_8_1 = e1
% 175.92/27.12 | | | | | | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | | | | | | REDUCE: (11651), (17561) imply:
% 175.92/27.12 | | | | | | | | | | | | | | | | | | | (17562) ~ (all_61_8 = e1)
% 175.92/27.12 | | | | | | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | | | | | | REDUCE: (17512), (17561) imply:
% 175.92/27.12 | | | | | | | | | | | | | | | | | | | (17563) ~ (all_28_1 = e1)
% 175.92/27.12 | | | | | | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | | | | | | BETA: splitting (269) gives:
% 175.92/27.12 | | | | | | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | | | | | | Case 1:
% 175.92/27.12 | | | | | | | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | | | | | | | (17564) all_63_2 = e3
% 175.92/27.12 | | | | | | | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (489), (17564) imply:
% 175.92/27.12 | | | | | | | | | | | | | | | | | | | | (17565) all_61_8 = e3
% 175.92/27.12 | | | | | | | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | | | | | | | REDUCE: (17510), (17565) imply:
% 175.92/27.12 | | | | | | | | | | | | | | | | | | | | (17566) ~ (all_28_1 = e3)
% 175.92/27.12 | | | | | | | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | | | | | | | SIMP: (17566) implies:
% 175.92/27.12 | | | | | | | | | | | | | | | | | | | | (17567) ~ (all_28_1 = e3)
% 175.92/27.12 | | | | | | | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | | | | | | | REDUCE: (17305), (17565) imply:
% 175.92/27.12 | | | | | | | | | | | | | | | | | | | | (17568) ~ (all_14_1 = e3)
% 175.92/27.12 | | | | | | | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | | | | | | | SIMP: (17568) implies:
% 175.92/27.12 | | | | | | | | | | | | | | | | | | | | (17569) ~ (all_14_1 = e3)
% 175.92/27.12 | | | | | | | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | | | | | | | BETA: splitting (267) gives:
% 175.92/27.12 | | | | | | | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.92/27.12 | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | | | | | | | | (17570) all_63_4 = e3
% 175.92/27.12 | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (17285), (17570) imply:
% 175.92/27.12 | | | | | | | | | | | | | | | | | | | | | (17571) all_14_1 = e3
% 175.92/27.12 | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | | | | | | | | REDUCE: (17569), (17571) imply:
% 175.92/27.12 | | | | | | | | | | | | | | | | | | | | | (17572) $false
% 175.92/27.12 | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | | | | | | | | CLOSE: (17572) is inconsistent.
% 175.92/27.12 | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.92/27.12 | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | | | | | | | | (17573) all_63_4 = e2 | all_63_4 = e1 | all_63_4 = e0
% 175.92/27.12 | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17573) gives:
% 175.92/27.12 | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.92/27.12 | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | | | | | | | | | (17574) all_63_4 = e2
% 175.92/27.12 | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (17285), (17574) imply:
% 175.92/27.12 | | | | | | | | | | | | | | | | | | | | | | (17575) all_14_1 = e2
% 175.92/27.12 | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17550), (17575) imply:
% 175.92/27.12 | | | | | | | | | | | | | | | | | | | | | | (17576) $false
% 175.92/27.12 | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (17576) is inconsistent.
% 175.92/27.12 | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.92/27.12 | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | | | | | | | | | (17577) all_63_4 = e1 | all_63_4 = e0
% 175.92/27.12 | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17577) gives:
% 175.92/27.12 | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.92/27.12 | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | | | | | | | | | | (17578) all_63_4 = e1
% 175.92/27.12 | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (17285), (17578) imply:
% 175.92/27.12 | | | | | | | | | | | | | | | | | | | | | | | (17579) all_14_1 = e1
% 175.92/27.12 | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17292), (17579) imply:
% 175.92/27.12 | | | | | | | | | | | | | | | | | | | | | | | (17580) $false
% 175.92/27.12 | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (17580) is inconsistent.
% 175.92/27.12 | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.92/27.12 | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | | | | | | | | | | (17581) all_63_4 = e0
% 175.92/27.12 | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (17285), (17581) imply:
% 175.92/27.12 | | | | | | | | | | | | | | | | | | | | | | | (17582) all_14_1 = e0
% 175.92/27.12 | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17511), (17582) imply:
% 175.92/27.12 | | | | | | | | | | | | | | | | | | | | | | | (17583) ~ (all_28_1 = e0)
% 175.92/27.12 | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (268), (17509), (17513), (17563), (17567), (17583)
% 175.92/27.12 | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #430.
% 175.92/27.12 | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.92/27.12 | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | | | | | | | | End of split
% 175.92/27.12 | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | | | | | | | End of split
% 175.92/27.12 | | | | | | | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | | | | | | Case 2:
% 175.92/27.12 | | | | | | | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | | | | | | | (17584) all_63_2 = e2 | all_63_2 = e1 | all_63_2 = e0
% 175.92/27.12 | | | | | | | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (489), (11612), (17306), (17562), (17584) are
% 175.92/27.12 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #401.
% 175.92/27.12 | | | | | | | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | | | | | | End of split
% 175.92/27.12 | | | | | | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | | | | | Case 2:
% 175.92/27.12 | | | | | | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | | | | | | (17585) all_63_11 = e0
% 175.92/27.12 | | | | | | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11646), (17585) imply:
% 175.92/27.12 | | | | | | | | | | | | | | | | | | | (17586) all_8_1 = e0
% 175.92/27.12 | | | | | | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | | | | | | REDUCE: (11657), (17586) imply:
% 175.92/27.12 | | | | | | | | | | | | | | | | | | | (17587) $false
% 175.92/27.12 | | | | | | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | | | | | | CLOSE: (17587) is inconsistent.
% 175.92/27.12 | | | | | | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | | | | | End of split
% 175.92/27.12 | | | | | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | | | | End of split
% 175.92/27.12 | | | | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | | | End of split
% 175.92/27.12 | | | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | | Case 2:
% 175.92/27.12 | | | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | | | (17588) all_63_6 = e1 | all_63_6 = e0
% 175.92/27.12 | | | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | | | REF_CLOSE: (497), (11613), (15417), (17588) are inconsistent
% 175.92/27.12 | | | | | | | | | | | | | | | | by sub-proof #408.
% 175.92/27.12 | | | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | | End of split
% 175.92/27.12 | | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | | End of split
% 175.92/27.12 | | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | | End of split
% 175.92/27.12 | | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | End of split
% 175.92/27.12 | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | End of split
% 175.92/27.12 | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | Case 2:
% 175.92/27.12 | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | (17589) all_20_2 = e2
% 175.92/27.12 | | | | | | | | | | | (17590) op(e0, e2) = all_20_1 & $i(all_20_1) & ( ~
% 175.92/27.12 | | | | | | | | | | | (all_20_1 = e1) | ( ~ (all_20_0 = e3) & op(e1,
% 175.92/27.12 | | | | | | | | | | | e0) = all_20_0 & $i(all_20_0)))
% 175.92/27.12 | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | ALPHA: (17590) implies:
% 175.92/27.12 | | | | | | | | | | | (17591) op(e0, e2) = all_20_1
% 175.92/27.12 | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | COMBINE_EQS: (581), (17589) imply:
% 175.92/27.12 | | | | | | | | | | | (17592) all_46_2 = e2
% 175.92/27.12 | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | REDUCE: (626), (17589) imply:
% 175.92/27.12 | | | | | | | | | | | (17593) ~ (all_61_13 = e2)
% 175.92/27.12 | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | REDUCE: (11656), (17589) imply:
% 175.92/27.12 | | | | | | | | | | | (17594) ~ (all_8_1 = e2)
% 175.92/27.12 | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | SIMP: (17594) implies:
% 175.92/27.12 | | | | | | | | | | | (17595) ~ (all_8_1 = e2)
% 175.92/27.12 | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | REDUCE: (696), (17589) imply:
% 175.92/27.12 | | | | | | | | | | | (17596) op(e2, e1) = all_65_77
% 175.92/27.12 | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | REDUCE: (697), (17589) imply:
% 175.92/27.12 | | | | | | | | | | | (17597) op(e2, e0) = all_65_78
% 175.92/27.12 | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | REDUCE: (15512), (17589) imply:
% 175.92/27.12 | | | | | | | | | | | (17598) op(e2, e2) = all_65_75
% 175.92/27.12 | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | REDUCE: (764), (17589) imply:
% 175.92/27.12 | | | | | | | | | | | (17599) op(e0, e2) = all_65_78
% 175.92/27.12 | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | REDUCE: (76), (17589) imply:
% 175.92/27.12 | | | | | | | | | | | (17600) op(e0, e0) = e2
% 175.92/27.12 | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | BETA: splitting (116) gives:
% 175.92/27.12 | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | Case 1:
% 175.92/27.12 | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | (17601) ~ (all_46_2 = e2)
% 175.92/27.12 | | | | | | | | | | | |
% 175.92/27.12 | | | | | | | | | | | | REDUCE: (17592), (17601) imply:
% 175.92/27.13 | | | | | | | | | | | | (17602) $false
% 175.92/27.13 | | | | | | | | | | | |
% 175.92/27.13 | | | | | | | | | | | | CLOSE: (17602) is inconsistent.
% 175.92/27.13 | | | | | | | | | | | |
% 175.92/27.13 | | | | | | | | | | | Case 2:
% 175.92/27.13 | | | | | | | | | | | |
% 175.92/27.13 | | | | | | | | | | | | (17603) op(e0, e2) = all_46_1 & $i(all_46_1) & ( ~
% 175.92/27.13 | | | | | | | | | | | | (all_46_1 = e3) | ( ~ (all_46_0 = e1) & op(e3,
% 175.92/27.13 | | | | | | | | | | | | e0) = all_46_0 & $i(all_46_0)))
% 175.92/27.13 | | | | | | | | | | | |
% 175.92/27.13 | | | | | | | | | | | | ALPHA: (17603) implies:
% 175.92/27.13 | | | | | | | | | | | | (17604) op(e0, e2) = all_46_1
% 175.92/27.13 | | | | | | | | | | | |
% 175.92/27.13 | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_13, all_20_1, e2,
% 175.92/27.13 | | | | | | | | | | | | e0, simplifying with (15500), (17591) gives:
% 175.92/27.13 | | | | | | | | | | | | (17605) all_61_13 = all_20_1
% 175.92/27.13 | | | | | | | | | | | |
% 175.92/27.13 | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_46_1, all_65_78, e2,
% 175.92/27.13 | | | | | | | | | | | | e0, simplifying with (17599), (17604) gives:
% 175.92/27.13 | | | | | | | | | | | | (17606) all_65_78 = all_46_1
% 175.92/27.13 | | | | | | | | | | | |
% 175.92/27.13 | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_13, all_65_78, e0,
% 175.92/27.13 | | | | | | | | | | | | e2, simplifying with (231), (17597) gives:
% 175.92/27.13 | | | | | | | | | | | | (17607) all_65_78 = all_61_13
% 175.92/27.13 | | | | | | | | | | | |
% 175.92/27.13 | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_12_1, all_65_77, e1,
% 175.92/27.13 | | | | | | | | | | | | e2, simplifying with (15409), (17596) gives:
% 175.92/27.13 | | | | | | | | | | | | (17608) all_65_77 = all_12_1
% 175.92/27.13 | | | | | | | | | | | |
% 175.92/27.13 | | | | | | | | | | | | GROUND_INST: instantiating (50) with e1, all_65_75, e2, e2,
% 175.92/27.13 | | | | | | | | | | | | simplifying with (15425), (17598) gives:
% 175.92/27.13 | | | | | | | | | | | | (17609) all_65_75 = e1
% 175.92/27.13 | | | | | | | | | | | |
% 175.92/27.13 | | | | | | | | | | | | COMBINE_EQS: (17606), (17607) imply:
% 175.92/27.13 | | | | | | | | | | | | (17610) all_61_13 = all_46_1
% 175.92/27.13 | | | | | | | | | | | |
% 175.92/27.13 | | | | | | | | | | | | SIMP: (17610) implies:
% 175.92/27.13 | | | | | | | | | | | | (17611) all_61_13 = all_46_1
% 175.92/27.13 | | | | | | | | | | | |
% 175.92/27.13 | | | | | | | | | | | | COMBINE_EQS: (17605), (17611) imply:
% 175.92/27.13 | | | | | | | | | | | | (17612) all_46_1 = all_20_1
% 175.92/27.13 | | | | | | | | | | | |
% 175.92/27.13 | | | | | | | | | | | | REDUCE: (17593), (17605) imply:
% 175.92/27.13 | | | | | | | | | | | | (17613) ~ (all_20_1 = e2)
% 175.92/27.13 | | | | | | | | | | | |
% 175.92/27.13 | | | | | | | | | | | | REDUCE: (15488), (17605) imply:
% 175.92/27.13 | | | | | | | | | | | | (17614) ~ (all_20_1 = e1)
% 175.92/27.13 | | | | | | | | | | | |
% 175.92/27.13 | | | | | | | | | | | | REDUCE: (15466), (17605) imply:
% 175.92/27.13 | | | | | | | | | | | | (17615) op(all_12_1, e1) = all_20_1
% 175.92/27.13 | | | | | | | | | | | |
% 175.92/27.13 | | | | | | | | | | | | REDUCE: (15511), (17605) imply:
% 175.92/27.13 | | | | | | | | | | | | (17616) op(e2, all_20_1) = all_8_1
% 175.92/27.13 | | | | | | | | | | | |
% 175.92/27.13 | | | | | | | | | | | | REDUCE: (231), (17605) imply:
% 175.92/27.13 | | | | | | | | | | | | (17617) op(e2, e0) = all_20_1
% 175.92/27.13 | | | | | | | | | | | |
% 175.92/27.13 | | | | | | | | | | | | REDUCE: (15513), (17605) imply:
% 175.92/27.13 | | | | | | | | | | | | (17618) op(e1, all_20_1) = all_65_67
% 175.92/27.13 | | | | | | | | | | | |
% 175.92/27.13 | | | | | | | | | | | | BETA: splitting (161) gives:
% 175.92/27.13 | | | | | | | | | | | |
% 175.92/27.13 | | | | | | | | | | | | Case 1:
% 175.92/27.13 | | | | | | | | | | | | |
% 175.92/27.13 | | | | | | | | | | | | | (17619) ~ (all_58_2 = e2)
% 175.92/27.13 | | | | | | | | | | | | |
% 175.92/27.13 | | | | | | | | | | | | | REDUCE: (478), (17619) imply:
% 175.92/27.13 | | | | | | | | | | | | | (17620) ~ (all_52_2 = e2)
% 175.92/27.13 | | | | | | | | | | | | |
% 175.92/27.13 | | | | | | | | | | | | | BETA: splitting (157) gives:
% 175.92/27.13 | | | | | | | | | | | | |
% 175.92/27.13 | | | | | | | | | | | | | Case 1:
% 175.92/27.13 | | | | | | | | | | | | | |
% 175.92/27.13 | | | | | | | | | | | | | | (17621) ~ (all_58_3 = e1)
% 175.92/27.13 | | | | | | | | | | | | | |
% 175.92/27.13 | | | | | | | | | | | | | | REDUCE: (475), (17621) imply:
% 175.92/27.13 | | | | | | | | | | | | | | (17622) ~ (all_52_3 = e1)
% 175.92/27.13 | | | | | | | | | | | | | |
% 175.92/27.13 | | | | | | | | | | | | | | BETA: splitting (160) gives:
% 175.92/27.13 | | | | | | | | | | | | | |
% 175.92/27.13 | | | | | | | | | | | | | | Case 1:
% 175.92/27.13 | | | | | | | | | | | | | | |
% 175.92/27.13 | | | | | | | | | | | | | | | (17623) ~ (all_58_2 = e0)
% 175.92/27.13 | | | | | | | | | | | | | | |
% 175.92/27.13 | | | | | | | | | | | | | | | REDUCE: (478), (17623) imply:
% 175.92/27.13 | | | | | | | | | | | | | | | (17624) ~ (all_52_2 = e0)
% 175.92/27.13 | | | | | | | | | | | | | | |
% 175.92/27.13 | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (50), (148), (149), (150), (162), (163),
% 175.92/27.13 | | | | | | | | | | | | | | | (231), (478), (481), (484), (536), (538), (539),
% 175.92/27.13 | | | | | | | | | | | | | | | (628), (630), (631), (632), (633), (731), (748),
% 175.92/27.13 | | | | | | | | | | | | | | | (765), (11606), (11622), (11697), (15425),
% 175.92/27.13 | | | | | | | | | | | | | | | (17593), (17600), (17613), (17614), (17616),
% 175.92/27.13 | | | | | | | | | | | | | | | (17617), (17618), (17620), (17624) are
% 175.92/27.13 | | | | | | | | | | | | | | | inconsistent by sub-proof #108.
% 175.92/27.13 | | | | | | | | | | | | | | |
% 175.92/27.13 | | | | | | | | | | | | | | Case 2:
% 175.92/27.13 | | | | | | | | | | | | | | |
% 175.92/27.13 | | | | | | | | | | | | | | | (17625) all_58_3 = e1
% 175.92/27.13 | | | | | | | | | | | | | | |
% 175.92/27.13 | | | | | | | | | | | | | | | REF_CLOSE: (475), (17622), (17625) are inconsistent by
% 175.92/27.13 | | | | | | | | | | | | | | | sub-proof #460.
% 175.92/27.13 | | | | | | | | | | | | | | |
% 175.92/27.13 | | | | | | | | | | | | | | End of split
% 175.92/27.13 | | | | | | | | | | | | | |
% 175.92/27.13 | | | | | | | | | | | | | Case 2:
% 175.92/27.13 | | | | | | | | | | | | | |
% 175.92/27.13 | | | | | | | | | | | | | | (17626) all_58_2 = e0
% 175.92/27.13 | | | | | | | | | | | | | |
% 175.92/27.13 | | | | | | | | | | | | | | COMBINE_EQS: (478), (17626) imply:
% 175.92/27.13 | | | | | | | | | | | | | | (17627) all_52_2 = e0
% 175.92/27.13 | | | | | | | | | | | | | |
% 175.92/27.13 | | | | | | | | | | | | | | SIMP: (17627) implies:
% 175.92/27.13 | | | | | | | | | | | | | | (17628) all_52_2 = e0
% 175.92/27.13 | | | | | | | | | | | | | |
% 175.92/27.13 | | | | | | | | | | | | | | REDUCE: (748), (17628) imply:
% 175.92/27.13 | | | | | | | | | | | | | | (17629) op(e1, e0) = unit
% 175.92/27.13 | | | | | | | | | | | | | |
% 175.92/27.13 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_8_1, unit, e0, e1,
% 175.92/27.13 | | | | | | | | | | | | | | simplifying with (11606), (17629) gives:
% 175.92/27.13 | | | | | | | | | | | | | | (17630) all_8_1 = unit
% 175.92/27.13 | | | | | | | | | | | | | |
% 175.92/27.13 | | | | | | | | | | | | | | COMBINE_EQS: (11645), (17630) imply:
% 175.92/27.13 | | | | | | | | | | | | | | (17631) all_63_14 = unit
% 175.92/27.13 | | | | | | | | | | | | | |
% 175.92/27.13 | | | | | | | | | | | | | | REDUCE: (11651), (17630) imply:
% 175.92/27.13 | | | | | | | | | | | | | | (17632) ~ (all_61_8 = unit)
% 175.92/27.13 | | | | | | | | | | | | | |
% 175.92/27.13 | | | | | | | | | | | | | | REDUCE: (11653), (17630) imply:
% 175.92/27.13 | | | | | | | | | | | | | | (17633) ~ (all_61_12 = unit)
% 175.92/27.13 | | | | | | | | | | | | | |
% 175.92/27.13 | | | | | | | | | | | | | | REDUCE: (17595), (17630) imply:
% 175.92/27.13 | | | | | | | | | | | | | | (17634) ~ (unit = e2)
% 175.92/27.13 | | | | | | | | | | | | | |
% 175.92/27.13 | | | | | | | | | | | | | | REDUCE: (11657), (17630) imply:
% 175.92/27.13 | | | | | | | | | | | | | | (17635) ~ (unit = e0)
% 175.92/27.13 | | | | | | | | | | | | | |
% 175.92/27.13 | | | | | | | | | | | | | | BETA: splitting (257) gives:
% 175.92/27.13 | | | | | | | | | | | | | |
% 175.92/27.13 | | | | | | | | | | | | | | Case 1:
% 175.92/27.13 | | | | | | | | | | | | | | |
% 175.92/27.13 | | | | | | | | | | | | | | | (17636) all_63_14 = e3
% 175.92/27.13 | | | | | | | | | | | | | | |
% 175.92/27.13 | | | | | | | | | | | | | | | REF_CLOSE: (11696), (17631), (17636) are inconsistent by
% 175.92/27.13 | | | | | | | | | | | | | | | sub-proof #273.
% 175.92/27.13 | | | | | | | | | | | | | | |
% 175.92/27.13 | | | | | | | | | | | | | | Case 2:
% 175.92/27.13 | | | | | | | | | | | | | | |
% 175.92/27.13 | | | | | | | | | | | | | | | (17637) all_63_14 = e2 | all_63_14 = e1 | all_63_14 = e0
% 175.92/27.13 | | | | | | | | | | | | | | |
% 175.92/27.13 | | | | | | | | | | | | | | | BETA: splitting (17637) gives:
% 175.92/27.13 | | | | | | | | | | | | | | |
% 175.92/27.13 | | | | | | | | | | | | | | | Case 1:
% 175.92/27.13 | | | | | | | | | | | | | | | |
% 175.92/27.13 | | | | | | | | | | | | | | | | (17638) all_63_14 = e2
% 175.92/27.13 | | | | | | | | | | | | | | | |
% 175.92/27.13 | | | | | | | | | | | | | | | | REF_CLOSE: (17631), (17634), (17638) are inconsistent by
% 175.92/27.13 | | | | | | | | | | | | | | | | sub-proof #272.
% 175.92/27.13 | | | | | | | | | | | | | | | |
% 175.92/27.13 | | | | | | | | | | | | | | | Case 2:
% 175.92/27.13 | | | | | | | | | | | | | | | |
% 175.92/27.13 | | | | | | | | | | | | | | | | (17639) all_63_14 = e1 | all_63_14 = e0
% 175.92/27.13 | | | | | | | | | | | | | | | |
% 175.92/27.13 | | | | | | | | | | | | | | | | BETA: splitting (17639) gives:
% 175.92/27.13 | | | | | | | | | | | | | | | |
% 175.92/27.13 | | | | | | | | | | | | | | | | Case 1:
% 175.92/27.13 | | | | | | | | | | | | | | | | |
% 175.92/27.13 | | | | | | | | | | | | | | | | | (17640) all_63_14 = e1
% 175.92/27.13 | | | | | | | | | | | | | | | | |
% 175.92/27.13 | | | | | | | | | | | | | | | | | COMBINE_EQS: (17631), (17640) imply:
% 175.92/27.13 | | | | | | | | | | | | | | | | | (17641) unit = e1
% 175.92/27.13 | | | | | | | | | | | | | | | | |
% 175.92/27.13 | | | | | | | | | | | | | | | | | SIMP: (17641) implies:
% 175.92/27.13 | | | | | | | | | | | | | | | | | (17642) unit = e1
% 175.92/27.13 | | | | | | | | | | | | | | | | |
% 175.92/27.13 | | | | | | | | | | | | | | | | | REDUCE: (17632), (17642) imply:
% 175.92/27.13 | | | | | | | | | | | | | | | | | (17643) ~ (all_61_8 = e1)
% 175.92/27.13 | | | | | | | | | | | | | | | | |
% 175.92/27.13 | | | | | | | | | | | | | | | | | REDUCE: (17633), (17642) imply:
% 175.92/27.13 | | | | | | | | | | | | | | | | | (17644) ~ (all_61_12 = e1)
% 175.92/27.13 | | | | | | | | | | | | | | | | |
% 175.92/27.13 | | | | | | | | | | | | | | | | | BETA: splitting (269) gives:
% 175.92/27.13 | | | | | | | | | | | | | | | | |
% 175.92/27.13 | | | | | | | | | | | | | | | | | Case 1:
% 175.92/27.13 | | | | | | | | | | | | | | | | | |
% 175.92/27.13 | | | | | | | | | | | | | | | | | | (17645) all_63_2 = e3
% 175.92/27.13 | | | | | | | | | | | | | | | | | |
% 175.92/27.13 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (489), (17645) imply:
% 175.92/27.13 | | | | | | | | | | | | | | | | | | (17646) all_61_8 = e3
% 175.92/27.13 | | | | | | | | | | | | | | | | | |
% 175.92/27.13 | | | | | | | | | | | | | | | | | | REDUCE: (187), (17646) imply:
% 175.92/27.13 | | | | | | | | | | | | | | | | | | (17647) ~ (all_61_12 = e3)
% 175.92/27.13 | | | | | | | | | | | | | | | | | |
% 175.92/27.13 | | | | | | | | | | | | | | | | | | SIMP: (17647) implies:
% 175.92/27.13 | | | | | | | | | | | | | | | | | | (17648) ~ (all_61_12 = e3)
% 175.92/27.13 | | | | | | | | | | | | | | | | | |
% 175.92/27.13 | | | | | | | | | | | | | | | | | | REDUCE: (17305), (17646) imply:
% 175.92/27.13 | | | | | | | | | | | | | | | | | | (17649) ~ (all_14_1 = e3)
% 175.92/27.13 | | | | | | | | | | | | | | | | | |
% 175.92/27.13 | | | | | | | | | | | | | | | | | | SIMP: (17649) implies:
% 175.92/27.13 | | | | | | | | | | | | | | | | | | (17650) ~ (all_14_1 = e3)
% 175.92/27.13 | | | | | | | | | | | | | | | | | |
% 175.92/27.13 | | | | | | | | | | | | | | | | | | BETA: splitting (259) gives:
% 175.92/27.13 | | | | | | | | | | | | | | | | | |
% 175.92/27.13 | | | | | | | | | | | | | | | | | | Case 1:
% 175.92/27.13 | | | | | | | | | | | | | | | | | | |
% 175.92/27.13 | | | | | | | | | | | | | | | | | | | (17651) all_63_12 = e3
% 175.92/27.13 | | | | | | | | | | | | | | | | | | |
% 175.92/27.13 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (17313), (17651) imply:
% 175.92/27.13 | | | | | | | | | | | | | | | | | | | (17652) all_61_12 = e3
% 175.92/27.13 | | | | | | | | | | | | | | | | | | |
% 175.92/27.13 | | | | | | | | | | | | | | | | | | | REDUCE: (17648), (17652) imply:
% 175.92/27.13 | | | | | | | | | | | | | | | | | | | (17653) $false
% 175.92/27.13 | | | | | | | | | | | | | | | | | | |
% 175.92/27.13 | | | | | | | | | | | | | | | | | | | CLOSE: (17653) is inconsistent.
% 175.92/27.13 | | | | | | | | | | | | | | | | | | |
% 175.92/27.13 | | | | | | | | | | | | | | | | | | Case 2:
% 175.92/27.13 | | | | | | | | | | | | | | | | | | |
% 175.92/27.13 | | | | | | | | | | | | | | | | | | | (17654) all_63_12 = e2 | all_63_12 = e1 | all_63_12 = e0
% 175.92/27.13 | | | | | | | | | | | | | | | | | | |
% 175.92/27.13 | | | | | | | | | | | | | | | | | | | BETA: splitting (17654) gives:
% 175.92/27.13 | | | | | | | | | | | | | | | | | | |
% 175.92/27.13 | | | | | | | | | | | | | | | | | | | Case 1:
% 175.92/27.13 | | | | | | | | | | | | | | | | | | | |
% 175.92/27.13 | | | | | | | | | | | | | | | | | | | | (17655) all_63_12 = e2
% 175.92/27.13 | | | | | | | | | | | | | | | | | | | |
% 175.92/27.13 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (17313), (17655) imply:
% 175.92/27.13 | | | | | | | | | | | | | | | | | | | | (17656) all_61_12 = e2
% 175.92/27.13 | | | | | | | | | | | | | | | | | | | |
% 175.92/27.13 | | | | | | | | | | | | | | | | | | | | REDUCE: (17316), (17656) imply:
% 175.92/27.13 | | | | | | | | | | | | | | | | | | | | (17657) $false
% 175.92/27.13 | | | | | | | | | | | | | | | | | | | |
% 175.92/27.13 | | | | | | | | | | | | | | | | | | | | CLOSE: (17657) is inconsistent.
% 175.92/27.13 | | | | | | | | | | | | | | | | | | | |
% 175.92/27.13 | | | | | | | | | | | | | | | | | | | Case 2:
% 175.92/27.13 | | | | | | | | | | | | | | | | | | | |
% 175.92/27.13 | | | | | | | | | | | | | | | | | | | | (17658) all_63_12 = e1 | all_63_12 = e0
% 175.92/27.13 | | | | | | | | | | | | | | | | | | | |
% 175.92/27.13 | | | | | | | | | | | | | | | | | | | | BETA: splitting (270) gives:
% 175.92/27.13 | | | | | | | | | | | | | | | | | | | |
% 175.92/27.13 | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.92/27.13 | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.13 | | | | | | | | | | | | | | | | | | | | | (17659) all_63_1 = e3
% 175.92/27.13 | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.13 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (17286), (17659) imply:
% 175.92/27.13 | | | | | | | | | | | | | | | | | | | | | (17660) all_14_1 = e3
% 175.92/27.13 | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.13 | | | | | | | | | | | | | | | | | | | | | REDUCE: (17650), (17660) imply:
% 175.92/27.13 | | | | | | | | | | | | | | | | | | | | | (17661) $false
% 175.92/27.13 | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.13 | | | | | | | | | | | | | | | | | | | | | CLOSE: (17661) is inconsistent.
% 175.92/27.13 | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.13 | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.92/27.13 | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.13 | | | | | | | | | | | | | | | | | | | | | (17662) all_63_1 = e2 | all_63_1 = e1 | all_63_1 = e0
% 175.92/27.13 | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.13 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (200), (488), (15414), (17257), (17313), (17644),
% 175.92/27.13 | | | | | | | | | | | | | | | | | | | | | (17658), (17662) are inconsistent by sub-proof
% 175.92/27.13 | | | | | | | | | | | | | | | | | | | | | #107.
% 175.92/27.13 | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.13 | | | | | | | | | | | | | | | | | | | | End of split
% 175.92/27.13 | | | | | | | | | | | | | | | | | | | |
% 175.92/27.13 | | | | | | | | | | | | | | | | | | | End of split
% 175.92/27.13 | | | | | | | | | | | | | | | | | | |
% 175.92/27.13 | | | | | | | | | | | | | | | | | | End of split
% 175.92/27.13 | | | | | | | | | | | | | | | | | |
% 175.92/27.13 | | | | | | | | | | | | | | | | | Case 2:
% 175.92/27.13 | | | | | | | | | | | | | | | | | |
% 175.92/27.13 | | | | | | | | | | | | | | | | | | (17663) all_63_2 = e2 | all_63_2 = e1 | all_63_2 = e0
% 175.92/27.13 | | | | | | | | | | | | | | | | | |
% 175.92/27.13 | | | | | | | | | | | | | | | | | | REF_CLOSE: (489), (11612), (17306), (17643), (17663) are
% 175.92/27.13 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #401.
% 175.92/27.13 | | | | | | | | | | | | | | | | | |
% 175.92/27.13 | | | | | | | | | | | | | | | | | End of split
% 175.92/27.13 | | | | | | | | | | | | | | | | |
% 175.92/27.13 | | | | | | | | | | | | | | | | Case 2:
% 175.92/27.13 | | | | | | | | | | | | | | | | |
% 175.92/27.13 | | | | | | | | | | | | | | | | | (17664) all_63_14 = e0
% 175.92/27.13 | | | | | | | | | | | | | | | | |
% 175.92/27.13 | | | | | | | | | | | | | | | | | COMBINE_EQS: (17631), (17664) imply:
% 175.92/27.13 | | | | | | | | | | | | | | | | | (17665) unit = e0
% 175.92/27.13 | | | | | | | | | | | | | | | | |
% 175.92/27.13 | | | | | | | | | | | | | | | | | SIMP: (17665) implies:
% 175.92/27.13 | | | | | | | | | | | | | | | | | (17666) unit = e0
% 175.92/27.13 | | | | | | | | | | | | | | | | |
% 175.92/27.13 | | | | | | | | | | | | | | | | | REDUCE: (17635), (17666) imply:
% 175.92/27.13 | | | | | | | | | | | | | | | | | (17667) $false
% 175.92/27.13 | | | | | | | | | | | | | | | | |
% 175.92/27.13 | | | | | | | | | | | | | | | | | CLOSE: (17667) is inconsistent.
% 175.92/27.13 | | | | | | | | | | | | | | | | |
% 175.92/27.13 | | | | | | | | | | | | | | | | End of split
% 175.92/27.13 | | | | | | | | | | | | | | | |
% 175.92/27.13 | | | | | | | | | | | | | | | End of split
% 175.92/27.13 | | | | | | | | | | | | | | |
% 175.92/27.13 | | | | | | | | | | | | | | End of split
% 175.92/27.13 | | | | | | | | | | | | | |
% 175.92/27.13 | | | | | | | | | | | | | End of split
% 175.92/27.13 | | | | | | | | | | | | |
% 175.92/27.13 | | | | | | | | | | | | Case 2:
% 175.92/27.13 | | | | | | | | | | | | |
% 175.92/27.13 | | | | | | | | | | | | | (17668) all_58_1 = e1
% 175.92/27.13 | | | | | | | | | | | | |
% 175.92/27.13 | | | | | | | | | | | | | COMBINE_EQS: (481), (17668) imply:
% 175.92/27.13 | | | | | | | | | | | | | (17669) all_52_1 = e1
% 175.92/27.13 | | | | | | | | | | | | |
% 175.92/27.13 | | | | | | | | | | | | | SIMP: (17669) implies:
% 175.92/27.13 | | | | | | | | | | | | | (17670) all_52_1 = e1
% 175.92/27.13 | | | | | | | | | | | | |
% 175.92/27.13 | | | | | | | | | | | | | REDUCE: (126), (17670) imply:
% 175.92/27.13 | | | | | | | | | | | | | (17671) inv(e2) = e1
% 175.92/27.13 | | | | | | | | | | | | |
% 175.92/27.13 | | | | | | | | | | | | | REDUCE: (731), (17670) imply:
% 175.92/27.13 | | | | | | | | | | | | | (17672) op(e2, e1) = unit
% 175.92/27.13 | | | | | | | | | | | | |
% 175.92/27.13 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_12_1, unit, e1, e2,
% 175.92/27.13 | | | | | | | | | | | | | simplifying with (15409), (17672) gives:
% 175.92/27.13 | | | | | | | | | | | | | (17673) all_12_1 = unit
% 175.92/27.13 | | | | | | | | | | | | |
% 175.92/27.13 | | | | | | | | | | | | | COMBINE_EQS: (15450), (17673) imply:
% 175.92/27.13 | | | | | | | | | | | | | (17674) all_63_6 = unit
% 175.92/27.13 | | | | | | | | | | | | |
% 175.92/27.13 | | | | | | | | | | | | | REDUCE: (17615), (17673) imply:
% 175.92/27.13 | | | | | | | | | | | | | (17675) op(unit, e1) = all_20_1
% 175.92/27.13 | | | | | | | | | | | | |
% 175.92/27.13 | | | | | | | | | | | | | REDUCE: (15509), (17673) imply:
% 175.92/27.13 | | | | | | | | | | | | | (17676) op(unit, e0) = all_65_67
% 175.92/27.13 | | | | | | | | | | | | |
% 175.92/27.13 | | | | | | | | | | | | | BETA: splitting (265) gives:
% 175.92/27.13 | | | | | | | | | | | | |
% 175.92/27.13 | | | | | | | | | | | | | Case 1:
% 175.92/27.13 | | | | | | | | | | | | | |
% 175.92/27.13 | | | | | | | | | | | | | | (17677) all_63_6 = e3
% 175.92/27.13 | | | | | | | | | | | | | |
% 175.92/27.13 | | | | | | | | | | | | | | COMBINE_EQS: (17674), (17677) imply:
% 175.92/27.13 | | | | | | | | | | | | | | (17678) unit = e3
% 175.92/27.13 | | | | | | | | | | | | | |
% 175.92/27.13 | | | | | | | | | | | | | | REDUCE: (11696), (17678) imply:
% 175.92/27.13 | | | | | | | | | | | | | | (17679) $false
% 175.92/27.13 | | | | | | | | | | | | | |
% 175.92/27.13 | | | | | | | | | | | | | | CLOSE: (17679) is inconsistent.
% 175.92/27.13 | | | | | | | | | | | | | |
% 175.92/27.13 | | | | | | | | | | | | | Case 2:
% 175.92/27.13 | | | | | | | | | | | | | |
% 175.92/27.13 | | | | | | | | | | | | | | (17680) all_63_6 = e2 | all_63_6 = e1 | all_63_6 = e0
% 175.92/27.13 | | | | | | | | | | | | | |
% 175.92/27.13 | | | | | | | | | | | | | | BETA: splitting (17680) gives:
% 175.92/27.13 | | | | | | | | | | | | | |
% 175.92/27.13 | | | | | | | | | | | | | | Case 1:
% 175.92/27.13 | | | | | | | | | | | | | | |
% 175.92/27.13 | | | | | | | | | | | | | | | (17681) all_63_6 = e2
% 175.92/27.13 | | | | | | | | | | | | | | |
% 175.92/27.13 | | | | | | | | | | | | | | | COMBINE_EQS: (17674), (17681) imply:
% 175.92/27.13 | | | | | | | | | | | | | | | (17682) unit = e2
% 175.92/27.13 | | | | | | | | | | | | | | |
% 175.92/27.13 | | | | | | | | | | | | | | | REDUCE: (13), (17682) imply:
% 175.92/27.13 | | | | | | | | | | | | | | | (17683) inv(e2) = e2
% 175.92/27.13 | | | | | | | | | | | | | | |
% 175.92/27.13 | | | | | | | | | | | | | | | REDUCE: (17675), (17682) imply:
% 175.92/27.13 | | | | | | | | | | | | | | | (17684) op(e2, e1) = all_20_1
% 175.92/27.13 | | | | | | | | | | | | | | |
% 175.92/27.13 | | | | | | | | | | | | | | | REDUCE: (17676), (17682) imply:
% 175.92/27.13 | | | | | | | | | | | | | | | (17685) op(e2, e0) = all_65_67
% 175.92/27.13 | | | | | | | | | | | | | | |
% 175.92/27.13 | | | | | | | | | | | | | | | REDUCE: (7), (17682) imply:
% 175.92/27.13 | | | | | | | | | | | | | | | (17686) op(e2, e0) = e0
% 175.92/27.13 | | | | | | | | | | | | | | |
% 175.92/27.13 | | | | | | | | | | | | | | | REDUCE: (17672), (17682) imply:
% 175.92/27.13 | | | | | | | | | | | | | | | (17687) op(e2, e1) = e2
% 175.92/27.13 | | | | | | | | | | | | | | |
% 175.92/27.13 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_20_1, all_65_67, e0,
% 175.92/27.13 | | | | | | | | | | | | | | | e2, simplifying with (17617), (17685) gives:
% 175.92/27.13 | | | | | | | | | | | | | | | (17688) all_65_67 = all_20_1
% 175.92/27.13 | | | | | | | | | | | | | | |
% 175.92/27.13 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e0, all_65_67, e0, e2,
% 175.92/27.13 | | | | | | | | | | | | | | | simplifying with (17685), (17686) gives:
% 175.92/27.13 | | | | | | | | | | | | | | | (17689) all_65_67 = e0
% 175.92/27.13 | | | | | | | | | | | | | | |
% 175.92/27.13 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e2, all_20_1, e1, e2,
% 175.92/27.13 | | | | | | | | | | | | | | | simplifying with (17684), (17687) gives:
% 175.92/27.13 | | | | | | | | | | | | | | | (17690) all_20_1 = e2
% 175.92/27.13 | | | | | | | | | | | | | | |
% 175.92/27.13 | | | | | | | | | | | | | | | GROUND_INST: instantiating (49) with e1, e2, e2, simplifying
% 175.92/27.13 | | | | | | | | | | | | | | | with (17671), (17683) gives:
% 175.92/27.13 | | | | | | | | | | | | | | | (17691) e2 = e1
% 175.92/27.13 | | | | | | | | | | | | | | |
% 175.92/27.13 | | | | | | | | | | | | | | | COMBINE_EQS: (17688), (17689) imply:
% 175.92/27.13 | | | | | | | | | | | | | | | (17692) all_20_1 = e0
% 175.92/27.13 | | | | | | | | | | | | | | |
% 175.92/27.13 | | | | | | | | | | | | | | | SIMP: (17692) implies:
% 175.92/27.13 | | | | | | | | | | | | | | | (17693) all_20_1 = e0
% 175.92/27.13 | | | | | | | | | | | | | | |
% 175.92/27.13 | | | | | | | | | | | | | | | COMBINE_EQS: (17690), (17693) imply:
% 175.92/27.13 | | | | | | | | | | | | | | | (17694) e2 = e0
% 175.92/27.13 | | | | | | | | | | | | | | |
% 175.92/27.13 | | | | | | | | | | | | | | | SIMP: (17694) implies:
% 175.92/27.13 | | | | | | | | | | | | | | | (17695) e2 = e0
% 175.92/27.13 | | | | | | | | | | | | | | |
% 175.92/27.13 | | | | | | | | | | | | | | | REF_CLOSE: (18), (17691), (17695) are inconsistent by
% 175.92/27.13 | | | | | | | | | | | | | | | sub-proof #403.
% 175.92/27.13 | | | | | | | | | | | | | | |
% 175.92/27.13 | | | | | | | | | | | | | | Case 2:
% 175.92/27.13 | | | | | | | | | | | | | | |
% 175.92/27.13 | | | | | | | | | | | | | | | (17696) all_63_6 = e1 | all_63_6 = e0
% 175.92/27.13 | | | | | | | | | | | | | | |
% 175.92/27.13 | | | | | | | | | | | | | | | REF_CLOSE: (497), (11613), (15417), (17696) are inconsistent
% 175.92/27.13 | | | | | | | | | | | | | | | by sub-proof #408.
% 175.92/27.13 | | | | | | | | | | | | | | |
% 175.92/27.13 | | | | | | | | | | | | | | End of split
% 175.92/27.13 | | | | | | | | | | | | | |
% 175.92/27.13 | | | | | | | | | | | | | End of split
% 175.92/27.13 | | | | | | | | | | | | |
% 175.92/27.13 | | | | | | | | | | | | End of split
% 175.92/27.13 | | | | | | | | | | | |
% 175.92/27.13 | | | | | | | | | | | End of split
% 175.92/27.13 | | | | | | | | | | |
% 175.92/27.13 | | | | | | | | | | End of split
% 175.92/27.13 | | | | | | | | | |
% 175.92/27.13 | | | | | | | | | End of split
% 175.92/27.13 | | | | | | | | |
% 175.92/27.13 | | | | | | | | End of split
% 175.92/27.13 | | | | | | | |
% 175.92/27.13 | | | | | | | End of split
% 175.92/27.13 | | | | | | |
% 175.92/27.13 | | | | | | End of split
% 175.92/27.13 | | | | | |
% 175.92/27.13 | | | | | End of split
% 175.92/27.13 | | | | |
% 175.92/27.13 | | | | End of split
% 175.92/27.13 | | | |
% 175.92/27.13 | | | End of split
% 175.92/27.13 | | |
% 175.92/27.13 | | Case 2:
% 175.92/27.13 | | |
% 175.92/27.13 | | | (17697) all_6_2 = e3
% 175.92/27.13 | | | (17698) op(e2, e3) = all_6_1 & $i(all_6_1) & ( ~ (all_6_1 = e1) | ( ~
% 175.92/27.13 | | | (all_6_0 = e0) & op(e1, e2) = all_6_0 & $i(all_6_0)))
% 175.92/27.13 | | |
% 175.92/27.13 | | | ALPHA: (17698) implies:
% 175.92/27.13 | | | (17699) op(e2, e3) = all_6_1
% 175.92/27.13 | | | (17700) ~ (all_6_1 = e1) | ( ~ (all_6_0 = e0) & op(e1, e2) = all_6_0 &
% 175.92/27.13 | | | $i(all_6_0))
% 175.92/27.13 | | |
% 175.92/27.13 | | | COMBINE_EQS: (578), (17697) imply:
% 175.92/27.13 | | | (17701) all_30_2 = e3
% 175.92/27.13 | | |
% 175.92/27.13 | | | REDUCE: (607), (17697) imply:
% 175.92/27.13 | | | (17702) ~ (all_61_4 = e3)
% 175.92/27.13 | | |
% 175.92/27.13 | | | REDUCE: (609), (17697) imply:
% 175.92/27.13 | | | (17703) ~ (all_61_6 = e3)
% 175.92/27.13 | | |
% 175.92/27.13 | | | REDUCE: (611), (17697) imply:
% 175.92/27.13 | | | (17704) ~ (all_61_7 = e3)
% 175.92/27.13 | | |
% 175.92/27.13 | | | REDUCE: (613), (17697) imply:
% 175.92/27.13 | | | (17705) ~ (all_61_9 = e3)
% 175.92/27.13 | | |
% 175.92/27.13 | | | REDUCE: (615), (17697) imply:
% 175.92/27.13 | | | (17706) ~ (all_61_13 = e3)
% 175.92/27.13 | | |
% 175.92/27.13 | | | REDUCE: (654), (17697) imply:
% 175.92/27.13 | | | (17707) op(e3, e3) = all_65_20
% 175.92/27.13 | | |
% 175.92/27.13 | | | REDUCE: (655), (17697) imply:
% 175.92/27.13 | | | (17708) op(e3, e2) = all_65_21
% 175.92/27.13 | | |
% 175.92/27.13 | | | REDUCE: (656), (17697) imply:
% 175.92/27.13 | | | (17709) op(e3, e1) = all_65_22
% 175.92/27.13 | | |
% 175.92/27.13 | | | REDUCE: (657), (17697) imply:
% 175.92/27.13 | | | (17710) op(e3, e0) = all_65_23
% 175.92/27.13 | | |
% 175.92/27.13 | | | REDUCE: (703), (17697) imply:
% 175.92/27.13 | | | (17711) op(e3, e3) = all_65_5
% 175.92/27.13 | | |
% 175.92/27.13 | | | REDUCE: (720), (17697) imply:
% 175.92/27.13 | | | (17712) op(e2, e3) = all_65_21
% 175.92/27.13 | | |
% 175.92/27.13 | | | REDUCE: (55), (17697) imply:
% 175.92/27.13 | | | (17713) op(e2, e2) = e3
% 175.92/27.13 | | |
% 175.92/27.13 | | | REDUCE: (737), (17697) imply:
% 175.92/27.13 | | | (17714) op(e1, e3) = all_65_37
% 175.92/27.13 | | |
% 175.92/27.13 | | | REDUCE: (754), (17697) imply:
% 175.92/27.13 | | | (17715) op(e0, e3) = all_65_59
% 175.92/27.13 | | |
% 175.92/27.13 | | | BETA: splitting (92) gives:
% 175.92/27.13 | | |
% 175.92/27.13 | | | Case 1:
% 175.92/27.13 | | | |
% 175.92/27.13 | | | | (17716) ~ (all_30_2 = e3)
% 175.92/27.13 | | | |
% 175.92/27.13 | | | | REDUCE: (17701), (17716) imply:
% 175.92/27.13 | | | | (17717) $false
% 175.92/27.13 | | | |
% 175.92/27.13 | | | | CLOSE: (17717) is inconsistent.
% 175.92/27.13 | | | |
% 175.92/27.13 | | | Case 2:
% 175.92/27.13 | | | |
% 175.92/27.13 | | | | (17718) op(e2, e3) = all_30_1 & $i(all_30_1) & ( ~ (all_30_1 = e0) |
% 175.92/27.13 | | | | ( ~ (all_30_0 = e1) & op(e0, e2) = all_30_0 &
% 175.92/27.13 | | | | $i(all_30_0)))
% 175.92/27.13 | | | |
% 175.92/27.13 | | | | ALPHA: (17718) implies:
% 175.92/27.13 | | | | (17719) op(e2, e3) = all_30_1
% 175.92/27.13 | | | |
% 175.92/27.13 | | | | GROUND_INST: instantiating (50) with all_61_3, all_65_59, e3, e0,
% 175.92/27.13 | | | | simplifying with (226), (17715) gives:
% 175.92/27.13 | | | | (17720) all_65_59 = all_61_3
% 175.92/27.13 | | | |
% 175.92/27.13 | | | | GROUND_INST: instantiating (50) with all_61_2, all_65_37, e3, e1,
% 175.92/27.13 | | | | simplifying with (230), (17714) gives:
% 175.92/27.13 | | | | (17721) all_65_37 = all_61_2
% 175.92/27.13 | | | |
% 175.92/27.13 | | | | GROUND_INST: instantiating (50) with all_61_1, all_65_21, e3, e2,
% 175.92/27.13 | | | | simplifying with (234), (17712) gives:
% 175.92/27.13 | | | | (17722) all_65_21 = all_61_1
% 175.92/27.13 | | | |
% 175.92/27.13 | | | | GROUND_INST: instantiating (50) with all_30_1, all_65_21, e3, e2,
% 175.92/27.13 | | | | simplifying with (17712), (17719) gives:
% 175.92/27.13 | | | | (17723) all_65_21 = all_30_1
% 175.92/27.13 | | | |
% 175.92/27.13 | | | | GROUND_INST: instantiating (50) with all_6_1, all_65_21, e3, e2,
% 175.92/27.13 | | | | simplifying with (17699), (17712) gives:
% 175.92/27.13 | | | | (17724) all_65_21 = all_6_1
% 175.92/27.13 | | | |
% 175.92/27.13 | | | | GROUND_INST: instantiating (50) with all_61_12, all_65_23, e0, e3,
% 175.92/27.13 | | | | simplifying with (235), (17710) gives:
% 175.92/27.13 | | | | (17725) all_65_23 = all_61_12
% 175.92/27.13 | | | |
% 175.92/27.13 | | | | GROUND_INST: instantiating (50) with all_61_8, all_65_22, e1, e3,
% 175.92/27.13 | | | | simplifying with (236), (17709) gives:
% 175.92/27.13 | | | | (17726) all_65_22 = all_61_8
% 175.92/27.13 | | | |
% 175.92/27.13 | | | | GROUND_INST: instantiating (50) with all_61_4, all_65_21, e2, e3,
% 175.92/27.13 | | | | simplifying with (237), (17708) gives:
% 175.92/27.13 | | | | (17727) all_65_21 = all_61_4
% 175.92/27.13 | | | |
% 175.92/27.13 | | | | GROUND_INST: instantiating (50) with all_14_2, all_65_5, e3, e3,
% 175.92/27.13 | | | | simplifying with (67), (17711) gives:
% 175.92/27.13 | | | | (17728) all_65_5 = all_14_2
% 175.92/27.13 | | | |
% 175.92/27.13 | | | | GROUND_INST: instantiating (50) with all_65_20, all_65_5, e3, e3,
% 175.92/27.13 | | | | simplifying with (17707), (17711) gives:
% 175.92/27.13 | | | | (17729) all_65_5 = all_65_20
% 175.92/27.13 | | | |
% 175.92/27.13 | | | | COMBINE_EQS: (17728), (17729) imply:
% 175.92/27.13 | | | | (17730) all_65_20 = all_14_2
% 175.92/27.13 | | | |
% 175.92/27.13 | | | | COMBINE_EQS: (17722), (17723) imply:
% 175.92/27.13 | | | | (17731) all_61_1 = all_30_1
% 175.92/27.13 | | | |
% 175.92/27.13 | | | | COMBINE_EQS: (17722), (17724) imply:
% 175.92/27.13 | | | | (17732) all_61_1 = all_6_1
% 175.92/27.13 | | | |
% 175.92/27.13 | | | | COMBINE_EQS: (17722), (17727) imply:
% 175.92/27.13 | | | | (17733) all_61_1 = all_61_4
% 175.92/27.13 | | | |
% 175.92/27.13 | | | | COMBINE_EQS: (17731), (17733) imply:
% 175.92/27.13 | | | | (17734) all_61_4 = all_30_1
% 175.92/27.13 | | | |
% 175.92/27.13 | | | | SIMP: (17734) implies:
% 175.92/27.14 | | | | (17735) all_61_4 = all_30_1
% 175.92/27.14 | | | |
% 175.92/27.14 | | | | COMBINE_EQS: (17731), (17732) imply:
% 175.92/27.14 | | | | (17736) all_30_1 = all_6_1
% 175.92/27.14 | | | |
% 175.92/27.14 | | | | COMBINE_EQS: (17735), (17736) imply:
% 175.92/27.14 | | | | (17737) all_61_4 = all_6_1
% 175.92/27.14 | | | |
% 175.92/27.14 | | | | COMBINE_EQS: (493), (17732) imply:
% 175.92/27.14 | | | | (17738) all_63_4 = all_6_1
% 175.92/27.14 | | | |
% 175.92/27.14 | | | | COMBINE_EQS: (488), (17737) imply:
% 175.92/27.14 | | | | (17739) all_63_1 = all_6_1
% 175.92/27.14 | | | |
% 175.92/27.14 | | | | REDUCE: (216), (17732) imply:
% 175.92/27.14 | | | | (17740) ~ (all_61_2 = all_6_1)
% 175.92/27.14 | | | |
% 175.92/27.14 | | | | SIMP: (17740) implies:
% 175.92/27.14 | | | | (17741) ~ (all_61_2 = all_6_1)
% 175.92/27.14 | | | |
% 175.92/27.14 | | | | REDUCE: (215), (17732) imply:
% 175.92/27.14 | | | | (17742) ~ (all_61_3 = all_6_1)
% 175.92/27.14 | | | |
% 175.92/27.14 | | | | SIMP: (17742) implies:
% 175.92/27.14 | | | | (17743) ~ (all_61_3 = all_6_1)
% 175.92/27.14 | | | |
% 175.92/27.14 | | | | REDUCE: (213), (17732) imply:
% 175.92/27.14 | | | | (17744) ~ (all_61_9 = all_6_1)
% 175.92/27.14 | | | |
% 175.92/27.14 | | | | SIMP: (17744) implies:
% 175.92/27.14 | | | | (17745) ~ (all_61_9 = all_6_1)
% 175.92/27.14 | | | |
% 175.92/27.14 | | | | REDUCE: (212), (17732) imply:
% 175.92/27.14 | | | | (17746) ~ (all_61_13 = all_6_1)
% 175.92/27.14 | | | |
% 175.92/27.14 | | | | SIMP: (17746) implies:
% 175.92/27.14 | | | | (17747) ~ (all_61_13 = all_6_1)
% 175.92/27.14 | | | |
% 175.92/27.14 | | | | REDUCE: (203), (17737) imply:
% 175.92/27.14 | | | | (17748) ~ (all_61_6 = all_6_1)
% 175.92/27.14 | | | |
% 175.92/27.14 | | | | SIMP: (17748) implies:
% 175.92/27.14 | | | | (17749) ~ (all_61_6 = all_6_1)
% 175.92/27.14 | | | |
% 175.92/27.14 | | | | REDUCE: (202), (17737) imply:
% 175.92/27.14 | | | | (17750) ~ (all_61_7 = all_6_1)
% 175.92/27.14 | | | |
% 175.92/27.14 | | | | SIMP: (17750) implies:
% 175.92/27.14 | | | | (17751) ~ (all_61_7 = all_6_1)
% 175.92/27.14 | | | |
% 175.92/27.14 | | | | REDUCE: (201), (17737) imply:
% 175.92/27.14 | | | | (17752) ~ (all_61_8 = all_6_1)
% 175.92/27.14 | | | |
% 175.92/27.14 | | | | SIMP: (17752) implies:
% 175.92/27.14 | | | | (17753) ~ (all_61_8 = all_6_1)
% 175.92/27.14 | | | |
% 175.92/27.14 | | | | REDUCE: (200), (17737) imply:
% 175.92/27.14 | | | | (17754) ~ (all_61_12 = all_6_1)
% 175.92/27.14 | | | |
% 175.92/27.14 | | | | SIMP: (17754) implies:
% 175.92/27.14 | | | | (17755) ~ (all_61_12 = all_6_1)
% 175.92/27.14 | | | |
% 175.92/27.14 | | | | REDUCE: (599), (17737) imply:
% 175.92/27.14 | | | | (17756) ~ (all_14_2 = all_6_1)
% 175.92/27.14 | | | |
% 175.92/27.14 | | | | SIMP: (17756) implies:
% 175.92/27.14 | | | | (17757) ~ (all_14_2 = all_6_1)
% 175.92/27.14 | | | |
% 175.92/27.14 | | | | REDUCE: (17702), (17737) imply:
% 175.92/27.14 | | | | (17758) ~ (all_6_1 = e3)
% 175.92/27.14 | | | |
% 175.92/27.14 | | | | REDUCE: (650), (17732) imply:
% 175.92/27.14 | | | | (17759) op(all_6_1, e3) = all_65_16
% 175.92/27.14 | | | |
% 175.92/27.14 | | | | REDUCE: (651), (17732) imply:
% 175.92/27.14 | | | | (17760) op(all_6_1, e2) = all_65_17
% 175.92/27.14 | | | |
% 175.92/27.14 | | | | REDUCE: (652), (17732) imply:
% 175.92/27.14 | | | | (17761) op(all_6_1, e1) = all_65_18
% 175.92/27.14 | | | |
% 175.92/27.14 | | | | REDUCE: (653), (17732) imply:
% 175.92/27.14 | | | | (17762) op(all_6_1, e0) = all_65_19
% 175.92/27.14 | | | |
% 175.92/27.14 | | | | REDUCE: (638), (17737) imply:
% 175.92/27.14 | | | | (17763) op(all_6_1, e3) = all_65_4
% 175.92/27.14 | | | |
% 175.92/27.14 | | | | REDUCE: (639), (17728), (17737) imply:
% 175.92/27.14 | | | | (17764) op(all_6_1, e2) = all_14_2
% 175.92/27.14 | | | |
% 175.92/27.14 | | | | REDUCE: (640), (17737) imply:
% 175.92/27.14 | | | | (17765) op(all_6_1, e1) = all_65_6
% 175.92/27.14 | | | |
% 175.92/27.14 | | | | REDUCE: (641), (17737) imply:
% 175.92/27.14 | | | | (17766) op(all_6_1, e0) = all_65_7
% 175.92/27.14 | | | |
% 175.92/27.14 | | | | REDUCE: (671), (17721) imply:
% 175.92/27.14 | | | | (17767) op(all_61_6, e2) = all_61_2
% 175.92/27.14 | | | |
% 175.92/27.14 | | | | REDUCE: (687), (17720) imply:
% 175.92/27.14 | | | | (17768) op(all_61_7, e2) = all_61_3
% 175.92/27.14 | | | |
% 175.92/27.14 | | | | REDUCE: (702), (17732) imply:
% 175.92/27.14 | | | | (17769) op(e3, all_6_1) = all_65_4
% 175.92/27.14 | | | |
% 175.92/27.14 | | | | REDUCE: (699), (17737) imply:
% 175.92/27.14 | | | | (17770) op(e3, all_6_1) = all_65_1
% 175.92/27.14 | | | |
% 175.92/27.14 | | | | REDUCE: (237), (17737) imply:
% 175.92/27.14 | | | | (17771) op(e3, e2) = all_6_1
% 175.92/27.14 | | | |
% 175.92/27.14 | | | | REDUCE: (716), (17737) imply:
% 175.92/27.14 | | | | (17772) op(e2, all_6_1) = all_65_17
% 175.92/27.14 | | | |
% 175.92/27.14 | | | | REDUCE: (721), (17726) imply:
% 175.92/27.14 | | | | (17773) op(e2, all_61_9) = all_61_8
% 175.92/27.14 | | | |
% 175.92/27.14 | | | | REDUCE: (722), (17725) imply:
% 175.92/27.14 | | | | (17774) op(e2, all_61_13) = all_61_12
% 175.92/27.14 | | | |
% 175.92/27.14 | | | | REDUCE: (736), (17732) imply:
% 175.92/27.14 | | | | (17775) op(e1, all_6_1) = all_65_36
% 175.92/27.14 | | | |
% 175.92/27.14 | | | | REDUCE: (733), (17737) imply:
% 175.92/27.14 | | | | (17776) op(e1, all_6_1) = all_65_33
% 175.92/27.14 | | | |
% 175.92/27.14 | | | | REDUCE: (753), (17732) imply:
% 175.92/27.14 | | | | (17777) op(e0, all_6_1) = all_65_57
% 175.92/27.14 | | | |
% 175.92/27.14 | | | | REDUCE: (750), (17737) imply:
% 175.92/27.14 | | | | (17778) op(e0, all_6_1) = all_65_51
% 175.92/27.14 | | | |
% 175.92/27.14 | | | | GROUND_INST: instantiating (50) with all_65_57, all_65_51, all_6_1, e0,
% 175.92/27.14 | | | | simplifying with (17777), (17778) gives:
% 175.92/27.14 | | | | (17779) all_65_51 = all_65_57
% 175.92/27.14 | | | |
% 175.92/27.14 | | | | GROUND_INST: instantiating (50) with all_65_36, all_65_33, all_6_1, e1,
% 175.92/27.14 | | | | simplifying with (17775), (17776) gives:
% 175.92/27.14 | | | | (17780) all_65_33 = all_65_36
% 175.92/27.14 | | | |
% 175.92/27.14 | | | | GROUND_INST: instantiating (50) with all_65_4, all_65_1, all_6_1, e3,
% 175.92/27.14 | | | | simplifying with (17769), (17770) gives:
% 175.92/27.14 | | | | (17781) all_65_1 = all_65_4
% 175.92/27.14 | | | |
% 175.92/27.14 | | | | GROUND_INST: instantiating (50) with all_65_19, all_65_7, e0, all_6_1,
% 175.92/27.14 | | | | simplifying with (17762), (17766) gives:
% 175.92/27.14 | | | | (17782) all_65_7 = all_65_19
% 175.92/27.14 | | | |
% 175.92/27.14 | | | | GROUND_INST: instantiating (50) with all_65_18, all_65_6, e1, all_6_1,
% 175.92/27.14 | | | | simplifying with (17761), (17765) gives:
% 175.92/27.14 | | | | (17783) all_65_6 = all_65_18
% 175.92/27.14 | | | |
% 175.92/27.14 | | | | GROUND_INST: instantiating (50) with all_14_2, all_65_17, e2, all_6_1,
% 175.92/27.14 | | | | simplifying with (17760), (17764) gives:
% 175.92/27.14 | | | | (17784) all_65_17 = all_14_2
% 175.92/27.14 | | | |
% 175.92/27.14 | | | | GROUND_INST: instantiating (50) with all_65_16, all_65_4, e3, all_6_1,
% 175.92/27.14 | | | | simplifying with (17759), (17763) gives:
% 175.92/27.14 | | | | (17785) all_65_4 = all_65_16
% 175.92/27.14 | | | |
% 175.92/27.14 | | | | COMBINE_EQS: (17781), (17785) imply:
% 175.92/27.14 | | | | (17786) all_65_1 = all_65_16
% 175.92/27.14 | | | |
% 175.92/27.14 | | | | REDUCE: (667), (17780) imply:
% 175.92/27.14 | | | | (17787) op(all_61_2, e2) = all_65_36
% 175.92/27.14 | | | |
% 175.92/27.14 | | | | REDUCE: (683), (17779) imply:
% 175.92/27.14 | | | | (17788) op(all_61_3, e2) = all_65_57
% 175.92/27.14 | | | |
% 175.92/27.14 | | | | REDUCE: (635), (17786) imply:
% 175.92/27.14 | | | | (17789) op(all_14_2, e2) = all_65_16
% 175.92/27.14 | | | |
% 175.92/27.14 | | | | REDUCE: (704), (17783) imply:
% 175.92/27.14 | | | | (17790) op(e3, all_61_9) = all_65_18
% 175.92/27.14 | | | |
% 175.92/27.14 | | | | REDUCE: (705), (17782) imply:
% 175.92/27.14 | | | | (17791) op(e3, all_61_13) = all_65_19
% 175.92/27.14 | | | |
% 175.92/27.14 | | | | REDUCE: (17769), (17785) imply:
% 175.92/27.14 | | | | (17792) op(e3, all_6_1) = all_65_16
% 175.92/27.14 | | | |
% 175.92/27.14 | | | | REDUCE: (17772), (17784) imply:
% 175.92/27.14 | | | | (17793) op(e2, all_6_1) = all_14_2
% 175.92/27.14 | | | |
% 175.92/27.14 | | | | BETA: splitting (59) gives:
% 175.92/27.14 | | | |
% 175.92/27.14 | | | | Case 1:
% 175.92/27.14 | | | | |
% 175.92/27.14 | | | | | (17794) ~ (all_8_2 = e0)
% 175.92/27.14 | | | | |
% 175.92/27.14 | | | | | REDUCE: (576), (17794) imply:
% 175.92/27.14 | | | | | (17795) ~ (all_4_2 = e0)
% 175.92/27.14 | | | | |
% 175.92/27.14 | | | | | BETA: splitting (11) gives:
% 175.92/27.14 | | | | |
% 175.92/27.14 | | | | | Case 1:
% 175.92/27.14 | | | | | |
% 175.92/27.14 | | | | | | (17796) unit = e3
% 175.92/27.14 | | | | | |
% 175.92/27.14 | | | | | | REDUCE: (9), (17796) imply:
% 175.92/27.14 | | | | | | (17797) op(e3, e2) = e2
% 175.92/27.14 | | | | | |
% 175.92/27.14 | | | | | | REDUCE: (8), (17796) imply:
% 175.92/27.14 | | | | | | (17798) op(e3, e1) = e1
% 175.92/27.14 | | | | | |
% 175.92/27.14 | | | | | | REDUCE: (7), (17796) imply:
% 175.92/27.14 | | | | | | (17799) op(e3, e0) = e0
% 175.92/27.14 | | | | | |
% 175.92/27.14 | | | | | | REDUCE: (6), (17796) imply:
% 175.92/27.14 | | | | | | (17800) op(e3, e3) = e3
% 175.92/27.14 | | | | | |
% 175.92/27.14 | | | | | | REDUCE: (3), (17796) imply:
% 175.92/27.14 | | | | | | (17801) op(e0, e3) = e0
% 175.92/27.14 | | | | | |
% 175.92/27.14 | | | | | | GROUND_INST: instantiating (50) with all_61_3, e0, e3, e0,
% 175.92/27.14 | | | | | | simplifying with (226), (17801) gives:
% 175.92/27.14 | | | | | | (17802) all_61_3 = e0
% 175.92/27.14 | | | | | |
% 175.92/27.14 | | | | | | GROUND_INST: instantiating (50) with all_61_12, e0, e0, e3,
% 175.92/27.14 | | | | | | simplifying with (235), (17799) gives:
% 175.92/27.14 | | | | | | (17803) all_61_12 = e0
% 175.92/27.14 | | | | | |
% 175.92/27.14 | | | | | | GROUND_INST: instantiating (50) with all_61_8, e1, e1, e3,
% 175.92/27.14 | | | | | | simplifying with (236), (17798) gives:
% 175.92/27.14 | | | | | | (17804) all_61_8 = e1
% 175.92/27.14 | | | | | |
% 175.92/27.14 | | | | | | GROUND_INST: instantiating (50) with all_6_1, e2, e2, e3,
% 175.92/27.14 | | | | | | simplifying with (17771), (17797) gives:
% 175.92/27.14 | | | | | | (17805) all_6_1 = e2
% 175.92/27.14 | | | | | |
% 175.92/27.14 | | | | | | GROUND_INST: instantiating (50) with all_14_2, e3, e3, e3,
% 175.92/27.14 | | | | | | simplifying with (67), (17800) gives:
% 175.92/27.14 | | | | | | (17806) all_14_2 = e3
% 175.92/27.14 | | | | | |
% 175.92/27.14 | | | | | | REDUCE: (207), (17802) imply:
% 175.92/27.14 | | | | | | (17807) ~ (all_61_7 = e0)
% 175.92/27.14 | | | | | |
% 175.92/27.14 | | | | | | SIMP: (17807) implies:
% 175.92/27.14 | | | | | | (17808) ~ (all_61_7 = e0)
% 175.92/27.14 | | | | | |
% 175.92/27.14 | | | | | | REDUCE: (206), (17802) imply:
% 175.92/27.14 | | | | | | (17809) ~ (all_61_11 = e0)
% 175.92/27.14 | | | | | |
% 175.92/27.14 | | | | | | SIMP: (17809) implies:
% 175.92/27.14 | | | | | | (17810) ~ (all_61_11 = e0)
% 175.92/27.14 | | | | | |
% 175.92/27.14 | | | | | | REDUCE: (17751), (17805) imply:
% 175.92/27.14 | | | | | | (17811) ~ (all_61_7 = e2)
% 175.92/27.14 | | | | | |
% 175.92/27.14 | | | | | | REDUCE: (618), (17804) imply:
% 175.92/27.14 | | | | | | (17812) ~ (all_4_2 = e1)
% 175.92/27.14 | | | | | |
% 175.92/27.14 | | | | | | SIMP: (17812) implies:
% 175.92/27.14 | | | | | | (17813) ~ (all_4_2 = e1)
% 175.92/27.14 | | | | | |
% 175.92/27.14 | | | | | | REDUCE: (180), (17803) imply:
% 175.92/27.14 | | | | | | (17814) ~ (all_61_13 = e0)
% 175.92/27.14 | | | | | |
% 175.92/27.14 | | | | | | SIMP: (17814) implies:
% 175.92/27.14 | | | | | | (17815) ~ (all_61_13 = e0)
% 175.92/27.14 | | | | | |
% 175.92/27.14 | | | | | | REDUCE: (179), (17803) imply:
% 175.92/27.14 | | | | | | (17816) ~ (all_61_14 = e0)
% 175.92/27.14 | | | | | |
% 175.92/27.14 | | | | | | SIMP: (17816) implies:
% 175.92/27.14 | | | | | | (17817) ~ (all_61_14 = e0)
% 175.92/27.14 | | | | | |
% 175.92/27.14 | | | | | | REDUCE: (625), (17803) imply:
% 175.92/27.14 | | | | | | (17818) ~ (all_20_2 = e0)
% 175.92/27.14 | | | | | |
% 175.92/27.14 | | | | | | SIMP: (17818) implies:
% 175.92/27.14 | | | | | | (17819) ~ (all_20_2 = e0)
% 175.92/27.14 | | | | | |
% 175.92/27.14 | | | | | | REDUCE: (17747), (17805) imply:
% 175.92/27.14 | | | | | | (17820) ~ (all_61_13 = e2)
% 175.92/27.14 | | | | | |
% 175.92/27.14 | | | | | | REDUCE: (643), (17804) imply:
% 175.92/27.14 | | | | | | (17821) op(e1, e2) = all_65_9
% 175.92/27.14 | | | | | |
% 175.92/27.14 | | | | | | REDUCE: (645), (17804) imply:
% 175.92/27.14 | | | | | | (17822) op(e1, e0) = all_65_11
% 175.92/27.14 | | | | | |
% 175.92/27.14 | | | | | | REDUCE: (646), (17803) imply:
% 175.92/27.14 | | | | | | (17823) op(e0, e3) = all_65_12
% 175.92/27.14 | | | | | |
% 175.92/27.14 | | | | | | REDUCE: (648), (17803) imply:
% 175.92/27.14 | | | | | | (17824) op(e0, e1) = all_65_14
% 175.92/27.14 | | | | | |
% 175.92/27.14 | | | | | | REDUCE: (710), (17802) imply:
% 175.92/27.14 | | | | | | (17825) op(e3, e0) = all_65_12
% 175.92/27.14 | | | | | |
% 175.92/27.14 | | | | | | REDUCE: (698), (17806) imply:
% 175.92/27.14 | | | | | | (17826) op(e3, e3) = all_65_0
% 175.92/27.14 | | | | | |
% 175.92/27.14 | | | | | | REDUCE: (735), (17803) imply:
% 175.92/27.14 | | | | | | (17827) op(e1, e0) = all_65_35
% 175.92/27.14 | | | | | |
% 175.92/27.14 | | | | | | REDUCE: (17775), (17805) imply:
% 175.92/27.14 | | | | | | (17828) op(e1, e2) = all_65_36
% 175.92/27.14 | | | | | |
% 175.92/27.14 | | | | | | REDUCE: (751), (17804) imply:
% 175.92/27.14 | | | | | | (17829) op(e0, e1) = all_65_53
% 175.92/27.14 | | | | | |
% 175.92/27.14 | | | | | | REDUCE: (749), (17806) imply:
% 175.92/27.14 | | | | | | (17830) op(e0, e3) = all_65_49
% 175.92/27.14 | | | | | |
% 175.92/27.14 | | | | | | BETA: splitting (261) gives:
% 175.92/27.14 | | | | | |
% 175.92/27.14 | | | | | | Case 1:
% 175.92/27.14 | | | | | | |
% 175.92/27.14 | | | | | | | (17831) all_63_10 = e3
% 175.92/27.14 | | | | | | |
% 175.92/27.14 | | | | | | | COMBINE_EQS: (586), (17831) imply:
% 175.92/27.14 | | | | | | | (17832) all_4_2 = e3
% 175.92/27.14 | | | | | | |
% 175.92/27.14 | | | | | | | REDUCE: (766), (17832) imply:
% 175.92/27.14 | | | | | | | (17833) $false
% 175.92/27.14 | | | | | | |
% 175.92/27.14 | | | | | | | CLOSE: (17833) is inconsistent.
% 175.92/27.14 | | | | | | |
% 175.92/27.14 | | | | | | Case 2:
% 175.92/27.14 | | | | | | |
% 175.92/27.14 | | | | | | | (17834) all_63_10 = e2 | all_63_10 = e1 | all_63_10 = e0
% 175.92/27.14 | | | | | | |
% 175.92/27.14 | | | | | | | BETA: splitting (264) gives:
% 175.92/27.14 | | | | | | |
% 175.92/27.14 | | | | | | | Case 1:
% 175.92/27.14 | | | | | | | |
% 175.92/27.14 | | | | | | | | (17835) all_63_7 = e3
% 175.92/27.14 | | | | | | | |
% 175.92/27.14 | | | | | | | | REF_CLOSE: (498), (17706), (17835) are inconsistent by sub-proof
% 175.92/27.14 | | | | | | | | #280.
% 175.92/27.14 | | | | | | | |
% 175.92/27.14 | | | | | | | Case 2:
% 175.92/27.14 | | | | | | | |
% 175.92/27.14 | | | | | | | | (17836) all_63_7 = e2 | all_63_7 = e1 | all_63_7 = e0
% 175.92/27.14 | | | | | | | |
% 175.92/27.14 | | | | | | | | BETA: splitting (17836) gives:
% 175.92/27.14 | | | | | | | |
% 175.92/27.14 | | | | | | | | Case 1:
% 175.92/27.14 | | | | | | | | |
% 175.92/27.14 | | | | | | | | | (17837) all_63_7 = e2
% 175.92/27.14 | | | | | | | | |
% 175.92/27.14 | | | | | | | | | REF_CLOSE: (498), (17820), (17837) are inconsistent by
% 175.92/27.14 | | | | | | | | | sub-proof #278.
% 175.92/27.14 | | | | | | | | |
% 175.92/27.14 | | | | | | | | Case 2:
% 175.92/27.14 | | | | | | | | |
% 175.92/27.14 | | | | | | | | | (17838) all_63_7 = e1 | all_63_7 = e0
% 175.92/27.14 | | | | | | | | |
% 175.92/27.14 | | | | | | | | | BETA: splitting (17834) gives:
% 175.92/27.14 | | | | | | | | |
% 175.92/27.14 | | | | | | | | | Case 1:
% 175.92/27.14 | | | | | | | | | |
% 175.92/27.14 | | | | | | | | | | (17839) all_63_10 = e2
% 175.92/27.14 | | | | | | | | | |
% 175.92/27.14 | | | | | | | | | | COMBINE_EQS: (586), (17839) imply:
% 175.92/27.14 | | | | | | | | | | (17840) all_4_2 = e2
% 175.92/27.14 | | | | | | | | | |
% 175.92/27.14 | | | | | | | | | | COMBINE_EQS: (503), (17840) imply:
% 175.92/27.14 | | | | | | | | | | (17841) all_18_2 = e2
% 175.92/27.14 | | | | | | | | | |
% 175.92/27.14 | | | | | | | | | | REDUCE: (616), (17840) imply:
% 175.92/27.14 | | | | | | | | | | (17842) ~ (all_61_6 = e2)
% 175.92/27.14 | | | | | | | | | |
% 175.92/27.14 | | | | | | | | | | REDUCE: (619), (17840) imply:
% 175.92/27.14 | | | | | | | | | | (17843) ~ (all_61_9 = e2)
% 175.92/27.14 | | | | | | | | | |
% 175.92/27.14 | | | | | | | | | | REDUCE: (621), (17840) imply:
% 175.92/27.14 | | | | | | | | | | (17844) ~ (all_61_11 = e2)
% 175.92/27.14 | | | | | | | | | |
% 175.92/27.14 | | | | | | | | | | REDUCE: (675), (17840) imply:
% 175.92/27.14 | | | | | | | | | | (17845) op(e2, e2) = all_65_41
% 175.92/27.14 | | | | | | | | | |
% 175.92/27.14 | | | | | | | | | | REDUCE: (725), (17840) imply:
% 175.92/27.14 | | | | | | | | | | (17846) op(e2, e2) = all_65_26
% 175.92/27.14 | | | | | | | | | |
% 175.92/27.14 | | | | | | | | | | REDUCE: (742), (17840) imply:
% 175.92/27.14 | | | | | | | | | | (17847) op(e1, e2) = all_65_42
% 175.92/27.14 | | | | | | | | | |
% 175.92/27.14 | | | | | | | | | | BETA: splitting (17838) gives:
% 175.92/27.14 | | | | | | | | | |
% 175.92/27.14 | | | | | | | | | | Case 1:
% 175.92/27.14 | | | | | | | | | | |
% 175.92/27.14 | | | | | | | | | | | (17848) all_63_7 = e1
% 175.92/27.14 | | | | | | | | | | |
% 175.92/27.14 | | | | | | | | | | | COMBINE_EQS: (498), (17848) imply:
% 175.92/27.14 | | | | | | | | | | | (17849) all_61_13 = e1
% 175.92/27.14 | | | | | | | | | | |
% 175.92/27.14 | | | | | | | | | | | SIMP: (17849) implies:
% 175.92/27.14 | | | | | | | | | | | (17850) all_61_13 = e1
% 175.92/27.14 | | | | | | | | | | |
% 175.92/27.14 | | | | | | | | | | | REDUCE: (184), (17850) imply:
% 175.92/27.14 | | | | | | | | | | | (17851) ~ (all_61_9 = e1)
% 175.92/27.14 | | | | | | | | | | |
% 175.92/27.14 | | | | | | | | | | | REDUCE: (177), (17850) imply:
% 175.92/27.14 | | | | | | | | | | | (17852) ~ (all_61_14 = e1)
% 175.92/27.14 | | | | | | | | | | |
% 175.92/27.14 | | | | | | | | | | | SIMP: (17852) implies:
% 175.92/27.14 | | | | | | | | | | | (17853) ~ (all_61_14 = e1)
% 175.92/27.14 | | | | | | | | | | |
% 175.92/27.14 | | | | | | | | | | | REDUCE: (756), (17850) imply:
% 175.92/27.14 | | | | | | | | | | | (17854) op(e0, e1) = all_65_63
% 175.92/27.14 | | | | | | | | | | |
% 175.92/27.14 | | | | | | | | | | | BETA: splitting (74) gives:
% 175.92/27.14 | | | | | | | | | | |
% 175.92/27.14 | | | | | | | | | | | Case 1:
% 175.92/27.14 | | | | | | | | | | | |
% 175.92/27.14 | | | | | | | | | | | | (17855) ~ (all_18_2 = e2)
% 175.92/27.14 | | | | | | | | | | | |
% 175.92/27.14 | | | | | | | | | | | | REDUCE: (17841), (17855) imply:
% 175.92/27.14 | | | | | | | | | | | | (17856) $false
% 175.92/27.14 | | | | | | | | | | | |
% 175.92/27.14 | | | | | | | | | | | | CLOSE: (17856) is inconsistent.
% 175.92/27.14 | | | | | | | | | | | |
% 175.92/27.14 | | | | | | | | | | | Case 2:
% 175.92/27.14 | | | | | | | | | | | |
% 175.92/27.14 | | | | | | | | | | | | (17857) op(e1, e2) = all_18_1 & $i(all_18_1) & ( ~
% 175.92/27.14 | | | | | | | | | | | | (all_18_1 = e0) | ( ~ (all_18_0 = e3) & op(e0,
% 175.92/27.14 | | | | | | | | | | | | e1) = all_18_0 & $i(all_18_0)))
% 175.92/27.14 | | | | | | | | | | | |
% 175.92/27.14 | | | | | | | | | | | | ALPHA: (17857) implies:
% 175.92/27.14 | | | | | | | | | | | | (17858) op(e1, e2) = all_18_1
% 175.92/27.14 | | | | | | | | | | | | (17859) ~ (all_18_1 = e0) | ( ~ (all_18_0 = e3) & op(e0,
% 175.92/27.14 | | | | | | | | | | | | e1) = all_18_0 & $i(all_18_0))
% 175.92/27.14 | | | | | | | | | | | |
% 175.92/27.14 | | | | | | | | | | | | BETA: splitting (258) gives:
% 175.92/27.14 | | | | | | | | | | | |
% 175.92/27.14 | | | | | | | | | | | | Case 1:
% 175.92/27.14 | | | | | | | | | | | | |
% 175.92/27.14 | | | | | | | | | | | | | (17860) all_63_13 = e3
% 175.92/27.14 | | | | | | | | | | | | |
% 175.92/27.14 | | | | | | | | | | | | | REF_CLOSE: (508), (17704), (17860) are inconsistent by
% 175.92/27.14 | | | | | | | | | | | | | sub-proof #526.
% 175.92/27.14 | | | | | | | | | | | | |
% 175.92/27.14 | | | | | | | | | | | | Case 2:
% 175.92/27.14 | | | | | | | | | | | | |
% 175.92/27.14 | | | | | | | | | | | | | (17861) all_63_13 = e2 | all_63_13 = e1 | all_63_13 = e0
% 175.92/27.14 | | | | | | | | | | | | |
% 175.92/27.14 | | | | | | | | | | | | | BETA: splitting (17861) gives:
% 175.92/27.14 | | | | | | | | | | | | |
% 175.92/27.14 | | | | | | | | | | | | | Case 1:
% 175.92/27.14 | | | | | | | | | | | | | |
% 175.92/27.14 | | | | | | | | | | | | | | (17862) all_63_13 = e2
% 175.92/27.14 | | | | | | | | | | | | | |
% 175.92/27.14 | | | | | | | | | | | | | | REF_CLOSE: (508), (17811), (17862) are inconsistent by
% 175.92/27.14 | | | | | | | | | | | | | | sub-proof #525.
% 175.92/27.14 | | | | | | | | | | | | | |
% 175.92/27.14 | | | | | | | | | | | | | Case 2:
% 175.92/27.14 | | | | | | | | | | | | | |
% 175.92/27.14 | | | | | | | | | | | | | | (17863) all_63_13 = e1 | all_63_13 = e0
% 175.92/27.14 | | | | | | | | | | | | | |
% 175.92/27.14 | | | | | | | | | | | | | | BETA: splitting (17863) gives:
% 175.92/27.14 | | | | | | | | | | | | | |
% 175.92/27.14 | | | | | | | | | | | | | | Case 1:
% 175.92/27.14 | | | | | | | | | | | | | | |
% 175.92/27.14 | | | | | | | | | | | | | | | (17864) all_63_13 = e1
% 175.92/27.14 | | | | | | | | | | | | | | |
% 175.92/27.14 | | | | | | | | | | | | | | | COMBINE_EQS: (508), (17864) imply:
% 175.92/27.14 | | | | | | | | | | | | | | | (17865) all_61_7 = e1
% 175.92/27.14 | | | | | | | | | | | | | | |
% 175.92/27.14 | | | | | | | | | | | | | | | SIMP: (17865) implies:
% 175.92/27.14 | | | | | | | | | | | | | | | (17866) all_61_7 = e1
% 175.92/27.14 | | | | | | | | | | | | | | |
% 175.92/27.14 | | | | | | | | | | | | | | | REDUCE: (195), (17866) imply:
% 175.92/27.14 | | | | | | | | | | | | | | | (17867) ~ (all_61_6 = e1)
% 175.92/27.14 | | | | | | | | | | | | | | |
% 175.92/27.14 | | | | | | | | | | | | | | | REDUCE: (192), (17866) imply:
% 175.92/27.14 | | | | | | | | | | | | | | | (17868) ~ (all_61_11 = e1)
% 175.92/27.14 | | | | | | | | | | | | | | |
% 175.92/27.14 | | | | | | | | | | | | | | | SIMP: (17868) implies:
% 175.92/27.14 | | | | | | | | | | | | | | | (17869) ~ (all_61_11 = e1)
% 175.92/27.14 | | | | | | | | | | | | | | |
% 175.92/27.14 | | | | | | | | | | | | | | | REDUCE: (617), (17866) imply:
% 175.92/27.14 | | | | | | | | | | | | | | | (17870) ~ (all_20_2 = e1)
% 175.92/27.14 | | | | | | | | | | | | | | |
% 175.92/27.14 | | | | | | | | | | | | | | | SIMP: (17870) implies:
% 175.92/27.14 | | | | | | | | | | | | | | | (17871) ~ (all_20_2 = e1)
% 175.92/27.14 | | | | | | | | | | | | | | |
% 175.92/27.14 | | | | | | | | | | | | | | | REDUCE: (728), (17866) imply:
% 175.92/27.14 | | | | | | | | | | | | | | | (17872) op(e2, e1) = all_65_29
% 175.92/27.14 | | | | | | | | | | | | | | |
% 175.92/27.14 | | | | | | | | | | | | | | | BETA: splitting (262) gives:
% 175.92/27.14 | | | | | | | | | | | | | | |
% 175.92/27.14 | | | | | | | | | | | | | | | Case 1:
% 175.92/27.14 | | | | | | | | | | | | | | | |
% 175.92/27.14 | | | | | | | | | | | | | | | | (17873) all_63_9 = e3
% 175.92/27.14 | | | | | | | | | | | | | | | |
% 175.92/27.14 | | | | | | | | | | | | | | | | COMBINE_EQS: (501), (17873) imply:
% 175.92/27.14 | | | | | | | | | | | | | | | | (17874) all_61_6 = e3
% 175.92/27.14 | | | | | | | | | | | | | | | |
% 175.92/27.14 | | | | | | | | | | | | | | | | REDUCE: (17703), (17874) imply:
% 175.92/27.14 | | | | | | | | | | | | | | | | (17875) $false
% 175.92/27.14 | | | | | | | | | | | | | | | |
% 175.92/27.14 | | | | | | | | | | | | | | | | CLOSE: (17875) is inconsistent.
% 175.92/27.14 | | | | | | | | | | | | | | | |
% 175.92/27.14 | | | | | | | | | | | | | | | Case 2:
% 175.92/27.14 | | | | | | | | | | | | | | | |
% 175.92/27.14 | | | | | | | | | | | | | | | | (17876) all_63_9 = e2 | all_63_9 = e1 | all_63_9 = e0
% 175.92/27.14 | | | | | | | | | | | | | | | |
% 175.92/27.14 | | | | | | | | | | | | | | | | BETA: splitting (265) gives:
% 175.92/27.14 | | | | | | | | | | | | | | | |
% 175.92/27.14 | | | | | | | | | | | | | | | | Case 1:
% 175.92/27.14 | | | | | | | | | | | | | | | | |
% 175.92/27.14 | | | | | | | | | | | | | | | | | (17877) all_63_6 = e3
% 175.92/27.14 | | | | | | | | | | | | | | | | |
% 175.92/27.14 | | | | | | | | | | | | | | | | | COMBINE_EQS: (497), (17877) imply:
% 175.92/27.14 | | | | | | | | | | | | | | | | | (17878) all_61_9 = e3
% 175.92/27.14 | | | | | | | | | | | | | | | | |
% 175.92/27.14 | | | | | | | | | | | | | | | | | REDUCE: (17705), (17878) imply:
% 175.92/27.14 | | | | | | | | | | | | | | | | | (17879) $false
% 175.92/27.14 | | | | | | | | | | | | | | | | |
% 175.92/27.14 | | | | | | | | | | | | | | | | | CLOSE: (17879) is inconsistent.
% 175.92/27.14 | | | | | | | | | | | | | | | | |
% 175.92/27.14 | | | | | | | | | | | | | | | | Case 2:
% 175.92/27.14 | | | | | | | | | | | | | | | | |
% 175.92/27.14 | | | | | | | | | | | | | | | | | (17880) all_63_6 = e2 | all_63_6 = e1 | all_63_6 = e0
% 175.92/27.14 | | | | | | | | | | | | | | | | |
% 175.92/27.14 | | | | | | | | | | | | | | | | | BETA: splitting (17880) gives:
% 175.92/27.14 | | | | | | | | | | | | | | | | |
% 175.92/27.14 | | | | | | | | | | | | | | | | | Case 1:
% 175.92/27.14 | | | | | | | | | | | | | | | | | |
% 175.92/27.14 | | | | | | | | | | | | | | | | | | (17881) all_63_6 = e2
% 175.92/27.14 | | | | | | | | | | | | | | | | | |
% 175.92/27.14 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (497), (17881) imply:
% 175.92/27.14 | | | | | | | | | | | | | | | | | | (17882) all_61_9 = e2
% 175.92/27.14 | | | | | | | | | | | | | | | | | |
% 175.92/27.14 | | | | | | | | | | | | | | | | | | REDUCE: (17843), (17882) imply:
% 175.92/27.14 | | | | | | | | | | | | | | | | | | (17883) $false
% 175.92/27.14 | | | | | | | | | | | | | | | | | |
% 175.92/27.14 | | | | | | | | | | | | | | | | | | CLOSE: (17883) is inconsistent.
% 175.92/27.14 | | | | | | | | | | | | | | | | | |
% 175.92/27.14 | | | | | | | | | | | | | | | | | Case 2:
% 175.92/27.14 | | | | | | | | | | | | | | | | | |
% 175.92/27.14 | | | | | | | | | | | | | | | | | | (17884) all_63_6 = e1 | all_63_6 = e0
% 175.92/27.14 | | | | | | | | | | | | | | | | | |
% 175.92/27.14 | | | | | | | | | | | | | | | | | | BETA: splitting (257) gives:
% 175.92/27.14 | | | | | | | | | | | | | | | | | |
% 175.92/27.14 | | | | | | | | | | | | | | | | | | Case 1:
% 175.92/27.14 | | | | | | | | | | | | | | | | | | |
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | (17885) all_63_14 = e3
% 175.92/27.14 | | | | | | | | | | | | | | | | | | |
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (510), (17885) imply:
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | (17886) all_61_11 = e3
% 175.92/27.14 | | | | | | | | | | | | | | | | | | |
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | SIMP: (17886) implies:
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | (17887) all_61_11 = e3
% 175.92/27.14 | | | | | | | | | | | | | | | | | | |
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | REDUCE: (624), (17887) imply:
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | (17888) ~ (all_20_2 = e3)
% 175.92/27.14 | | | | | | | | | | | | | | | | | | |
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | SIMP: (17888) implies:
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | (17889) ~ (all_20_2 = e3)
% 175.92/27.14 | | | | | | | | | | | | | | | | | | |
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | REDUCE: (690), (17887) imply:
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | (17890) op(e3, e3) = all_65_65
% 175.92/27.14 | | | | | | | | | | | | | | | | | | |
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | REDUCE: (763), (17887) imply:
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | (17891) op(e0, e3) = all_65_77
% 175.92/27.14 | | | | | | | | | | | | | | | | | | |
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | BETA: splitting (256) gives:
% 175.92/27.14 | | | | | | | | | | | | | | | | | | |
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | Case 1:
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | |
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | (17892) all_63_15 = e3
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | |
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (422), (17889), (17892) are inconsistent by
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | sub-proof #501.
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | |
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | Case 2:
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | |
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | (17893) all_63_15 = e2 | all_63_15 = e1 | all_63_15 = e0
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | |
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | BETA: splitting (17893) gives:
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | |
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | | (17894) all_63_15 = e2
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (422), (17894) imply:
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | | (17895) all_20_2 = e2
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | | SIMP: (17895) implies:
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | | (17896) all_20_2 = e2
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | | REDUCE: (627), (17896) imply:
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | | (17897) ~ (all_61_14 = e2)
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | | REDUCE: (695), (17896) imply:
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | | (17898) op(e2, e2) = all_65_75
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | | REDUCE: (696), (17896) imply:
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | | (17899) op(e2, e1) = all_65_77
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | | REDUCE: (747), (17896) imply:
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | | (17900) op(e1, e2) = all_65_47
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17884) gives:
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | | | (17901) all_63_6 = e1
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (497), (17901) imply:
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | | | (17902) all_61_9 = e1
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17851), (17902) imply:
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | | | (17903) $false
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (17903) is inconsistent.
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | | | (17904) all_63_6 = e0
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (497), (17904) imply:
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | | | (17905) all_61_9 = e0
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (658), (17905) imply:
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | | | (17906) op(e0, e3) = all_65_24
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (660), (17905) imply:
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | | | (17907) op(e0, e1) = all_65_26
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (232), (17905) imply:
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | | | (17908) op(e2, e1) = e0
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (738), (17905) imply:
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | | | (17909) op(e1, e0) = all_65_38
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17876) gives:
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | | | | (17910) all_63_9 = e2
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (501), (17910) imply:
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | | | | (17911) all_61_6 = e2
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17842), (17911) imply:
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | | | | (17912) $false
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (17912) is inconsistent.
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | | | | (17913) all_63_9 = e1 | all_63_9 = e0
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17859) gives:
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | | | | | (17914) ~ (all_18_1 = e0)
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (260) gives:
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | (17915) all_63_11 = e3
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (505), (17915) imply:
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | (17916) all_61_14 = e3
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (760), (17916) imply:
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | (17917) op(e0, e3) = all_65_71
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17913) gives:
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | (17918) all_63_9 = e1
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (501), (17918) imply:
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | (17919) all_61_6 = e1
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17867), (17919) imply:
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | (17920) $false
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (17920) is inconsistent.
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | (17921) all_63_9 = e0
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (501), (17921) imply:
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | (17922) all_61_6 = e0
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (670), (17922) imply:
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | (17923) op(e0, e3) = all_65_36
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (707), (17922) imply:
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | (17924) op(e3, e0) = all_65_9
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_77, all_65_49, e3,
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | e0, simplifying with (17830), (17891) gives:
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | (17925) all_65_49 = all_65_77
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_49, all_65_36, e3,
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | e0, simplifying with (17830), (17923) gives:
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | (17926) all_65_36 = all_65_49
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_71, all_65_36, e3,
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | e0, simplifying with (17917), (17923) gives:
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | (17927) all_65_36 = all_65_71
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_36, all_65_24, e3,
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | e0, simplifying with (17906), (17923) gives:
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | (17928) all_65_24 = all_65_36
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_24, all_65_12, e3,
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | e0, simplifying with (17823), (17906) gives:
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | (17929) all_65_12 = all_65_24
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_18_1, all_65_47, e2,
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | e1, simplifying with (17858), (17900) gives:
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | (17930) all_65_47 = all_18_1
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_47, all_65_36, e2,
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | e1, simplifying with (17828), (17900) gives:
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | (17931) all_65_36 = all_65_47
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_42, all_65_9, e2,
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | e1, simplifying with (17821), (17847) gives:
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | (17932) all_65_9 = all_65_42
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_77, all_65_29, e1,
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | e2, simplifying with (17872), (17899) gives:
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | (17933) all_65_29 = all_65_77
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e0, all_65_29, e1, e2,
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (17872), (17908) gives:
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | (17934) all_65_29 = e0
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_12, all_65_9, e0,
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | e3, simplifying with (17825), (17924) gives:
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | (17935) all_65_9 = all_65_12
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (17932), (17935) imply:
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | (17936) all_65_12 = all_65_42
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (17929), (17936) imply:
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | (17937) all_65_24 = all_65_42
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (17937) implies:
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | (17938) all_65_24 = all_65_42
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (17928), (17938) imply:
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | (17939) all_65_36 = all_65_42
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (17939) implies:
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | (17940) all_65_36 = all_65_42
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (17933), (17934) imply:
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | (17941) all_65_77 = e0
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (17931), (17940) imply:
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | (17942) all_65_42 = all_65_47
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (17926), (17940) imply:
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | (17943) all_65_42 = all_65_49
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (17927), (17940) imply:
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | (17944) all_65_42 = all_65_71
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (17943), (17944) imply:
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | (17945) all_65_49 = all_65_71
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (17945) implies:
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | (17946) all_65_49 = all_65_71
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (17942), (17944) imply:
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | (17947) all_65_47 = all_65_71
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (17947) implies:
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | (17948) all_65_47 = all_65_71
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (17930), (17948) imply:
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | (17949) all_65_71 = all_18_1
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (17925), (17946) imply:
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | (17950) all_65_71 = all_65_77
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (17949), (17950) imply:
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | (17951) all_65_77 = all_18_1
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (17951) implies:
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | (17952) all_65_77 = all_18_1
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (17941), (17952) imply:
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | (17953) all_18_1 = e0
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17914), (17953) imply:
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | (17954) $false
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (17954) is inconsistent.
% 175.92/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | (17955) all_63_11 = e2 | all_63_11 = e1 | all_63_11 = e0
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (505), (17817), (17853), (17897), (17955) are
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #521.
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | | | | (17956) ~ (all_18_0 = e3) & op(e0, e1) = all_18_0 &
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_18_0)
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17956) implies:
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | | | | (17957) ~ (all_18_0 = e3)
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | | | | (17958) op(e0, e1) = all_18_0
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (260) gives:
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | (17959) all_63_11 = e3
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (505), (17959) imply:
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | (17960) all_61_14 = e3
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (709), (17960) imply:
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | (17961) op(e3, e3) = all_65_11
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17913) gives:
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | (17962) all_63_9 = e1
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (501), (17962) imply:
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | (17963) all_61_6 = e1
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17867), (17963) imply:
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | (17964) $false
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (17964) is inconsistent.
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | (17965) all_63_9 = e0
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (501), (17965) imply:
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | (17966) all_61_6 = e0
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (672), (17966) imply:
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | (17967) op(e0, e1) = all_65_38
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_63, all_65_53, e1,
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | e0, simplifying with (17829), (17854) gives:
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | (17968) all_65_53 = all_65_63
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_38, all_65_26, e1,
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | e0, simplifying with (17907), (17967) gives:
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | (17969) all_65_26 = all_65_38
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_53, all_65_26, e1,
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | e0, simplifying with (17829), (17907) gives:
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | (17970) all_65_26 = all_65_53
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_53, all_65_14, e1,
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | e0, simplifying with (17824), (17829) gives:
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | (17971) all_65_14 = all_65_53
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_18_0, all_65_14, e1,
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | e0, simplifying with (17824), (17958) gives:
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | (17972) all_65_14 = all_18_0
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_35, all_65_11, e0,
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | e1, simplifying with (17822), (17827) gives:
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | (17973) all_65_11 = all_65_35
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_38, all_65_11, e0,
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | e1, simplifying with (17822), (17909) gives:
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | (17974) all_65_11 = all_65_38
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e3, all_65_41, e2, e2,
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (17713), (17845) gives:
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | (17975) all_65_41 = e3
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_75, all_65_41, e2,
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | e2, simplifying with (17845), (17898) gives:
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | (17976) all_65_41 = all_65_75
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_75, all_65_26, e2,
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | e2, simplifying with (17846), (17898) gives:
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | (17977) all_65_26 = all_65_75
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_11, all_65_0, e3,
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | e3, simplifying with (17826), (17961) gives:
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | (17978) all_65_0 = all_65_11
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_65, all_65_0, e3,
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | e3, simplifying with (17826), (17890) gives:
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | (17979) all_65_0 = all_65_65
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (17978), (17979) imply:
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | (17980) all_65_11 = all_65_65
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (17980) implies:
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | (17981) all_65_11 = all_65_65
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (17973), (17974) imply:
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | (17982) all_65_35 = all_65_38
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (17973), (17981) imply:
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | (17983) all_65_35 = all_65_65
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (17971), (17972) imply:
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | (17984) all_65_53 = all_18_0
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (17984) implies:
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | (17985) all_65_53 = all_18_0
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (17969), (17970) imply:
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | (17986) all_65_38 = all_65_53
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (17969), (17977) imply:
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | (17987) all_65_38 = all_65_75
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (17982), (17983) imply:
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | (17988) all_65_38 = all_65_65
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (17988) implies:
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | (17989) all_65_38 = all_65_65
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (17987), (17989) imply:
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | (17990) all_65_65 = all_65_75
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (17986), (17989) imply:
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | (17991) all_65_53 = all_65_65
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (17991) implies:
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | (17992) all_65_53 = all_65_65
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (17975), (17976) imply:
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | (17993) all_65_75 = e3
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (17993) implies:
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | (17994) all_65_75 = e3
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (17968), (17992) imply:
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | (17995) all_65_63 = all_65_65
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (17968), (17985) imply:
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | (17996) all_65_63 = all_18_0
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (17995), (17996) imply:
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | (17997) all_65_65 = all_18_0
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (17997) implies:
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | (17998) all_65_65 = all_18_0
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (17990), (17998) imply:
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | (17999) all_65_75 = all_18_0
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (17999) implies:
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | (18000) all_65_75 = all_18_0
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (17994), (18000) imply:
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | (18001) all_18_0 = e3
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17957), (18001) imply:
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | (18002) $false
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (18002) is inconsistent.
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | (18003) all_63_11 = e2 | all_63_11 = e1 | all_63_11 = e0
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (505), (17817), (17853), (17897), (18003) are
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #521.
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | End of split
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | (18004) all_63_15 = e1 | all_63_15 = e0
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18004) gives:
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | | (18005) all_63_15 = e1
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (422), (17871), (18005) are inconsistent by
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | | sub-proof #499.
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | | (18006) all_63_15 = e0
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (422), (17819), (18006) are inconsistent by
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | | sub-proof #207.
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | End of split
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | End of split
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | End of split
% 175.92/27.15 | | | | | | | | | | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | | | | | | | | | Case 2:
% 175.92/27.15 | | | | | | | | | | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | (18007) all_63_14 = e2 | all_63_14 = e1 | all_63_14 = e0
% 175.92/27.15 | | | | | | | | | | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (510), (17810), (17844), (17869), (18007) are
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #517.
% 175.92/27.15 | | | | | | | | | | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | | | | | | | | | End of split
% 175.92/27.15 | | | | | | | | | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | | | | | | | | End of split
% 175.92/27.15 | | | | | | | | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | | | | | | | End of split
% 175.92/27.15 | | | | | | | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | | | | | | End of split
% 175.92/27.15 | | | | | | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | | | | | Case 2:
% 175.92/27.15 | | | | | | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | | | | | | (18008) all_63_13 = e0
% 175.92/27.15 | | | | | | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | | | | | | REF_CLOSE: (508), (17808), (18008) are inconsistent by
% 175.92/27.15 | | | | | | | | | | | | | | | sub-proof #523.
% 175.92/27.15 | | | | | | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | | | | | End of split
% 175.92/27.15 | | | | | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | | | | End of split
% 175.92/27.15 | | | | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | | | End of split
% 175.92/27.15 | | | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | | End of split
% 175.92/27.15 | | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | Case 2:
% 175.92/27.15 | | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | | (18009) all_63_7 = e0
% 175.92/27.15 | | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | | REF_CLOSE: (498), (17815), (18009) are inconsistent by
% 175.92/27.15 | | | | | | | | | | | sub-proof #276.
% 175.92/27.15 | | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | End of split
% 175.92/27.15 | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | Case 2:
% 175.92/27.15 | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | (18010) all_63_10 = e1 | all_63_10 = e0
% 175.92/27.15 | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | REF_CLOSE: (586), (17795), (17813), (18010) are inconsistent
% 175.92/27.15 | | | | | | | | | | by sub-proof #516.
% 175.92/27.15 | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | End of split
% 175.92/27.15 | | | | | | | | |
% 175.92/27.15 | | | | | | | | End of split
% 175.92/27.15 | | | | | | | |
% 175.92/27.15 | | | | | | | End of split
% 175.92/27.15 | | | | | | |
% 175.92/27.15 | | | | | | End of split
% 175.92/27.15 | | | | | |
% 175.92/27.15 | | | | | Case 2:
% 175.92/27.15 | | | | | |
% 175.92/27.15 | | | | | | (18011) ~ (unit = e3)
% 175.92/27.15 | | | | | | (18012) unit = e2 | unit = e1 | unit = e0
% 175.92/27.15 | | | | | |
% 175.92/27.15 | | | | | | BETA: splitting (62) gives:
% 175.92/27.15 | | | | | |
% 175.92/27.15 | | | | | | Case 1:
% 175.92/27.15 | | | | | | |
% 175.92/27.15 | | | | | | | (18013) ~ (all_10_2 = e2)
% 175.92/27.15 | | | | | | |
% 175.92/27.15 | | | | | | | REDUCE: (572), (18013) imply:
% 175.92/27.15 | | | | | | | (18014) ~ (all_4_2 = e2)
% 175.92/27.15 | | | | | | |
% 175.92/27.15 | | | | | | | BETA: splitting (261) gives:
% 175.92/27.15 | | | | | | |
% 175.92/27.15 | | | | | | | Case 1:
% 175.92/27.15 | | | | | | | |
% 175.92/27.15 | | | | | | | | (18015) all_63_10 = e3
% 175.92/27.15 | | | | | | | |
% 175.92/27.15 | | | | | | | | REF_CLOSE: (586), (766), (18015) are inconsistent by sub-proof
% 175.92/27.15 | | | | | | | | #515.
% 175.92/27.15 | | | | | | | |
% 175.92/27.15 | | | | | | | Case 2:
% 175.92/27.15 | | | | | | | |
% 175.92/27.15 | | | | | | | | (18016) all_63_10 = e2 | all_63_10 = e1 | all_63_10 = e0
% 175.92/27.15 | | | | | | | |
% 175.92/27.15 | | | | | | | | BETA: splitting (18016) gives:
% 175.92/27.15 | | | | | | | |
% 175.92/27.15 | | | | | | | | Case 1:
% 175.92/27.15 | | | | | | | | |
% 175.92/27.15 | | | | | | | | | (18017) all_63_10 = e2
% 175.92/27.15 | | | | | | | | |
% 175.92/27.15 | | | | | | | | | REF_CLOSE: (586), (18014), (18017) are inconsistent by
% 175.92/27.15 | | | | | | | | | sub-proof #514.
% 175.92/27.15 | | | | | | | | |
% 175.92/27.15 | | | | | | | | Case 2:
% 175.92/27.15 | | | | | | | | |
% 175.92/27.15 | | | | | | | | | (18018) all_63_10 = e1 | all_63_10 = e0
% 175.92/27.15 | | | | | | | | |
% 175.92/27.15 | | | | | | | | | BETA: splitting (18018) gives:
% 175.92/27.15 | | | | | | | | |
% 175.92/27.15 | | | | | | | | | Case 1:
% 175.92/27.15 | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | (18019) all_63_10 = e1
% 175.92/27.15 | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | COMBINE_EQS: (586), (18019) imply:
% 175.92/27.15 | | | | | | | | | | (18020) all_4_2 = e1
% 175.92/27.15 | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | SIMP: (18020) implies:
% 175.92/27.15 | | | | | | | | | | (18021) all_4_2 = e1
% 175.92/27.15 | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | REDUCE: (605), (18021) imply:
% 175.92/27.15 | | | | | | | | | | (18022) ~ (all_61_2 = e1)
% 175.92/27.15 | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | REDUCE: (616), (18021) imply:
% 175.92/27.15 | | | | | | | | | | (18023) ~ (all_61_6 = e1)
% 175.92/27.15 | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | REDUCE: (618), (18021) imply:
% 175.92/27.15 | | | | | | | | | | (18024) ~ (all_61_8 = e1)
% 175.92/27.15 | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | REDUCE: (619), (18021) imply:
% 175.92/27.15 | | | | | | | | | | (18025) ~ (all_61_9 = e1)
% 175.92/27.15 | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | REDUCE: (621), (18021) imply:
% 175.92/27.15 | | | | | | | | | | (18026) ~ (all_61_11 = e1)
% 175.92/27.15 | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | REDUCE: (623), (18021) imply:
% 175.92/27.15 | | | | | | | | | | (18027) ~ (all_61_14 = e1)
% 175.92/27.15 | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | REDUCE: (674), (18021) imply:
% 175.92/27.15 | | | | | | | | | | (18028) op(e1, e3) = all_65_40
% 175.92/27.15 | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | REDUCE: (675), (18021) imply:
% 175.92/27.15 | | | | | | | | | | (18029) op(e1, e2) = all_65_41
% 175.92/27.15 | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | REDUCE: (677), (18021) imply:
% 175.92/27.15 | | | | | | | | | | (18030) op(e1, e0) = all_65_43
% 175.92/27.15 | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | REDUCE: (708), (18021) imply:
% 175.92/27.15 | | | | | | | | | | (18031) op(e3, e1) = all_65_10
% 175.92/27.15 | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | REDUCE: (725), (18021) imply:
% 175.92/27.15 | | | | | | | | | | (18032) op(e2, e1) = all_65_26
% 175.92/27.15 | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | REDUCE: (742), (18021) imply:
% 175.92/27.15 | | | | | | | | | | (18033) op(e1, e1) = all_65_42
% 175.92/27.15 | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | REDUCE: (52), (18021) imply:
% 175.92/27.15 | | | | | | | | | | (18034) op(e1, e1) = e1
% 175.92/27.15 | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | REDUCE: (759), (18021) imply:
% 175.92/27.15 | | | | | | | | | | (18035) op(e0, e1) = all_65_69
% 175.92/27.15 | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_11, all_65_69, e1,
% 175.92/27.15 | | | | | | | | | | e0, simplifying with (224), (18035) gives:
% 175.92/27.15 | | | | | | | | | | (18036) all_65_69 = all_61_11
% 175.92/27.15 | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_14, all_65_43, e0,
% 175.92/27.15 | | | | | | | | | | e1, simplifying with (227), (18030) gives:
% 175.92/27.15 | | | | | | | | | | (18037) all_65_43 = all_61_14
% 175.92/27.15 | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | GROUND_INST: instantiating (50) with e1, all_65_42, e1, e1,
% 175.92/27.15 | | | | | | | | | | simplifying with (18033), (18034) gives:
% 175.92/27.15 | | | | | | | | | | (18038) all_65_42 = e1
% 175.92/27.15 | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_6, all_65_41, e2,
% 175.92/27.15 | | | | | | | | | | e1, simplifying with (229), (18029) gives:
% 175.92/27.15 | | | | | | | | | | (18039) all_65_41 = all_61_6
% 175.92/27.15 | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_2, all_65_40, e3,
% 175.92/27.15 | | | | | | | | | | e1, simplifying with (230), (18028) gives:
% 175.92/27.15 | | | | | | | | | | (18040) all_65_40 = all_61_2
% 175.92/27.15 | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_9, all_65_26, e1,
% 175.92/27.15 | | | | | | | | | | e2, simplifying with (232), (18032) gives:
% 175.92/27.15 | | | | | | | | | | (18041) all_65_26 = all_61_9
% 175.92/27.15 | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_8, all_65_10, e1,
% 175.92/27.15 | | | | | | | | | | e3, simplifying with (236), (18031) gives:
% 175.92/27.15 | | | | | | | | | | (18042) all_65_10 = all_61_8
% 175.92/27.15 | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | REDUCE: (644), (18042) imply:
% 175.92/27.15 | | | | | | | | | | (18043) op(all_61_8, e1) = all_61_8
% 175.92/27.15 | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | REDUCE: (660), (18041) imply:
% 175.92/27.15 | | | | | | | | | | (18044) op(all_61_9, e1) = all_61_9
% 175.92/27.15 | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | REDUCE: (692), (18036) imply:
% 175.92/27.15 | | | | | | | | | | (18045) op(all_61_11, e1) = all_61_11
% 175.92/27.15 | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | BETA: splitting (68) gives:
% 175.92/27.15 | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | Case 1:
% 175.92/27.15 | | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | | (18046) ~ (all_14_2 = e2)
% 175.92/27.15 | | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | | BETA: splitting (77) gives:
% 175.92/27.15 | | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | | Case 1:
% 175.92/27.15 | | | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | | | (18047) ~ (all_20_2 = e2)
% 175.92/27.15 | | | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | | | BETA: splitting (89) gives:
% 175.92/27.15 | | | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | | | Case 1:
% 175.92/27.15 | | | | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | | | | (18048) ~ (all_28_2 = e3)
% 175.92/27.15 | | | | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | | | | REDUCE: (563), (18048) imply:
% 175.92/27.15 | | | | | | | | | | | | | (18049) ~ (all_20_2 = e3)
% 175.92/27.15 | | | | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | | | | BETA: splitting (101) gives:
% 175.92/27.15 | | | | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | | | | Case 1:
% 175.92/27.15 | | | | | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | | | | | (18050) ~ (all_36_2 = e0)
% 175.92/27.15 | | | | | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | | | | | REDUCE: (557), (18050) imply:
% 175.92/27.15 | | | | | | | | | | | | | | (18051) ~ (all_14_2 = e0)
% 175.92/27.15 | | | | | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | | | | | BETA: splitting (107) gives:
% 175.92/27.15 | | | | | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | | | | | Case 1:
% 175.92/27.15 | | | | | | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | | | | | | (18052) ~ (all_40_2 = e1)
% 175.92/27.15 | | | | | | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | | | | | | REDUCE: (553), (18052) imply:
% 175.92/27.15 | | | | | | | | | | | | | | | (18053) ~ (all_14_2 = e1)
% 175.92/27.15 | | | | | | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | | | | | | REF_CLOSE: (10), (50), (67), (151), (159), (162), (165),
% 175.92/27.15 | | | | | | | | | | | | | | | (166), (167), (168), (226), (230), (234), (235),
% 175.92/27.15 | | | | | | | | | | | | | | | (236), (237), (271), (475), (478), (481), (484),
% 175.92/27.15 | | | | | | | | | | | | | | | (534), (588), (599), (601), (603), (635), (636),
% 175.92/27.15 | | | | | | | | | | | | | | | (637), (638), (642), (646), (650), (666), (682),
% 175.92/27.15 | | | | | | | | | | | | | | | (698), (714), (715), (731), (732), (748), (749),
% 175.92/27.15 | | | | | | | | | | | | | | | (765), (18011), (18046), (18051), (18053) are
% 175.92/27.15 | | | | | | | | | | | | | | | inconsistent by sub-proof #502.
% 175.92/27.15 | | | | | | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | | | | | Case 2:
% 175.92/27.15 | | | | | | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | | | | | | (18054) all_40_2 = e1
% 175.92/27.15 | | | | | | | | | | | | | | | (18055) op(e3, e1) = all_40_1 & $i(all_40_1) & ( ~
% 175.92/27.15 | | | | | | | | | | | | | | | (all_40_1 = e0) | ( ~ (all_40_0 = e2) & op(e0,
% 175.92/27.15 | | | | | | | | | | | | | | | e3) = all_40_0 & $i(all_40_0)))
% 175.92/27.15 | | | | | | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | | | | | | ALPHA: (18055) implies:
% 175.92/27.15 | | | | | | | | | | | | | | | (18056) op(e3, e1) = all_40_1
% 175.92/27.15 | | | | | | | | | | | | | | | (18057) ~ (all_40_1 = e0) | ( ~ (all_40_0 = e2) & op(e0,
% 175.92/27.15 | | | | | | | | | | | | | | | e3) = all_40_0 & $i(all_40_0))
% 175.92/27.15 | | | | | | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | | | | | | COMBINE_EQS: (553), (18054) imply:
% 175.92/27.15 | | | | | | | | | | | | | | | (18058) all_14_2 = e1
% 175.92/27.15 | | | | | | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | | | | | | COMBINE_EQS: (466), (18058) imply:
% 175.92/27.15 | | | | | | | | | | | | | | | (18059) all_48_2 = e1
% 175.92/27.15 | | | | | | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | | | | | | REDUCE: (603), (18058) imply:
% 175.92/27.15 | | | | | | | | | | | | | | | (18060) ~ (all_61_12 = e1)
% 175.92/27.15 | | | | | | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | | | | | | REDUCE: (17757), (18058) imply:
% 175.92/27.15 | | | | | | | | | | | | | | | (18061) ~ (all_6_1 = e1)
% 175.92/27.15 | | | | | | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | | | | | | SIMP: (18061) implies:
% 175.92/27.15 | | | | | | | | | | | | | | | (18062) ~ (all_6_1 = e1)
% 175.92/27.15 | | | | | | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | | | | | | REDUCE: (18046), (18058) imply:
% 175.92/27.15 | | | | | | | | | | | | | | | (18063) ~ (e2 = e1)
% 175.92/27.15 | | | | | | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | | | | | | REDUCE: (634), (18058) imply:
% 175.92/27.15 | | | | | | | | | | | | | | | (18064) op(e1, e3) = all_65_0
% 175.92/27.15 | | | | | | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | | | | | | REDUCE: (17789), (18058) imply:
% 175.92/27.15 | | | | | | | | | | | | | | | (18065) op(e1, e2) = all_65_16
% 175.92/27.15 | | | | | | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | | | | | | REDUCE: (636), (18058) imply:
% 175.92/27.15 | | | | | | | | | | | | | | | (18066) op(e1, e1) = all_65_2
% 175.92/27.15 | | | | | | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | | | | | | REDUCE: (637), (18058) imply:
% 175.92/27.15 | | | | | | | | | | | | | | | (18067) op(e1, e0) = all_65_3
% 175.92/27.15 | | | | | | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | | | | | | REDUCE: (17764), (18058) imply:
% 175.92/27.15 | | | | | | | | | | | | | | | (18068) op(all_6_1, e2) = e1
% 175.92/27.15 | | | | | | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | | | | | | REDUCE: (698), (18058) imply:
% 175.92/27.15 | | | | | | | | | | | | | | | (18069) op(e3, e1) = all_65_0
% 175.92/27.15 | | | | | | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | | | | | | REDUCE: (67), (18058) imply:
% 175.92/27.15 | | | | | | | | | | | | | | | (18070) op(e3, e3) = e1
% 175.92/27.15 | | | | | | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | | | | | | REDUCE: (715), (18058) imply:
% 175.92/27.15 | | | | | | | | | | | | | | | (18071) op(e2, e1) = all_65_16
% 175.92/27.15 | | | | | | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | | | | | | REDUCE: (732), (18058) imply:
% 175.92/27.15 | | | | | | | | | | | | | | | (18072) op(e1, e1) = all_65_32
% 175.92/27.15 | | | | | | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | | | | | | BETA: splitting (119) gives:
% 175.92/27.15 | | | | | | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | | | | | | Case 1:
% 175.92/27.15 | | | | | | | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | | | | | | | (18073) ~ (all_48_2 = e1)
% 175.92/27.15 | | | | | | | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | | | | | | | REDUCE: (18059), (18073) imply:
% 175.92/27.15 | | | | | | | | | | | | | | | | (18074) $false
% 175.92/27.15 | | | | | | | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | | | | | | | CLOSE: (18074) is inconsistent.
% 175.92/27.15 | | | | | | | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | | | | | | Case 2:
% 175.92/27.15 | | | | | | | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | | | | | | | (18075) op(e3, e1) = all_48_1 & $i(all_48_1) & ( ~
% 175.92/27.15 | | | | | | | | | | | | | | | | (all_48_1 = e2) | ( ~ (all_48_0 = e0) & op(e2,
% 175.92/27.15 | | | | | | | | | | | | | | | | e3) = all_48_0 & $i(all_48_0)))
% 175.92/27.15 | | | | | | | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | | | | | | | ALPHA: (18075) implies:
% 175.92/27.15 | | | | | | | | | | | | | | | | (18076) op(e3, e1) = all_48_1
% 175.92/27.15 | | | | | | | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_14, all_65_3, e0,
% 175.92/27.15 | | | | | | | | | | | | | | | | e1, simplifying with (227), (18067) gives:
% 175.92/27.15 | | | | | | | | | | | | | | | | (18077) all_65_3 = all_61_14
% 175.92/27.15 | | | | | | | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e1, all_65_2, e1, e1,
% 175.92/27.15 | | | | | | | | | | | | | | | | simplifying with (18034), (18066) gives:
% 175.92/27.15 | | | | | | | | | | | | | | | | (18078) all_65_2 = e1
% 175.92/27.15 | | | | | | | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_32, all_65_2, e1,
% 175.92/27.15 | | | | | | | | | | | | | | | | e1, simplifying with (18066), (18072) gives:
% 175.92/27.15 | | | | | | | | | | | | | | | | (18079) all_65_2 = all_65_32
% 175.92/27.15 | | | | | | | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_6, all_65_16, e2,
% 175.92/27.15 | | | | | | | | | | | | | | | | e1, simplifying with (229), (18065) gives:
% 175.92/27.15 | | | | | | | | | | | | | | | | (18080) all_65_16 = all_61_6
% 175.92/27.15 | | | | | | | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_2, all_65_0, e3,
% 175.92/27.15 | | | | | | | | | | | | | | | | e1, simplifying with (230), (18064) gives:
% 175.92/27.15 | | | | | | | | | | | | | | | | (18081) all_65_0 = all_61_2
% 175.92/27.15 | | | | | | | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_9, all_65_16, e1,
% 175.92/27.15 | | | | | | | | | | | | | | | | e2, simplifying with (232), (18071) gives:
% 175.92/27.15 | | | | | | | | | | | | | | | | (18082) all_65_16 = all_61_9
% 175.92/27.15 | | | | | | | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_8, all_48_1, e1,
% 175.92/27.15 | | | | | | | | | | | | | | | | e3, simplifying with (236), (18076) gives:
% 175.92/27.15 | | | | | | | | | | | | | | | | (18083) all_61_8 = all_48_1
% 175.92/27.15 | | | | | | | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_8, all_65_0, e1,
% 175.92/27.15 | | | | | | | | | | | | | | | | e3, simplifying with (236), (18069) gives:
% 175.92/27.15 | | | | | | | | | | | | | | | | (18084) all_65_0 = all_61_8
% 175.92/27.15 | | | | | | | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_40_1, all_65_0, e1,
% 175.92/27.15 | | | | | | | | | | | | | | | | e3, simplifying with (18056), (18069) gives:
% 175.92/27.15 | | | | | | | | | | | | | | | | (18085) all_65_0 = all_40_1
% 175.92/27.15 | | | | | | | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | | | | | | | COMBINE_EQS: (18081), (18085) imply:
% 175.92/27.15 | | | | | | | | | | | | | | | | (18086) all_61_2 = all_40_1
% 175.92/27.15 | | | | | | | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | | | | | | | SIMP: (18086) implies:
% 175.92/27.15 | | | | | | | | | | | | | | | | (18087) all_61_2 = all_40_1
% 175.92/27.15 | | | | | | | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | | | | | | | COMBINE_EQS: (18084), (18085) imply:
% 175.92/27.15 | | | | | | | | | | | | | | | | (18088) all_61_8 = all_40_1
% 175.92/27.15 | | | | | | | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | | | | | | | SIMP: (18088) implies:
% 175.92/27.15 | | | | | | | | | | | | | | | | (18089) all_61_8 = all_40_1
% 175.92/27.15 | | | | | | | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | | | | | | | COMBINE_EQS: (18078), (18079) imply:
% 175.92/27.15 | | | | | | | | | | | | | | | | (18090) all_65_32 = e1
% 175.92/27.15 | | | | | | | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | | | | | | | COMBINE_EQS: (18080), (18082) imply:
% 175.92/27.15 | | | | | | | | | | | | | | | | (18091) all_61_6 = all_61_9
% 175.92/27.15 | | | | | | | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | | | | | | | COMBINE_EQS: (18083), (18089) imply:
% 175.92/27.15 | | | | | | | | | | | | | | | | (18092) all_48_1 = all_40_1
% 175.92/27.15 | | | | | | | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | | | | | | | SIMP: (18092) implies:
% 175.92/27.15 | | | | | | | | | | | | | | | | (18093) all_48_1 = all_40_1
% 175.92/27.15 | | | | | | | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | | | | | | | COMBINE_EQS: (499), (18087) imply:
% 175.92/27.15 | | | | | | | | | | | | | | | | (18094) all_63_8 = all_40_1
% 175.92/27.15 | | | | | | | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | | | | | | | REDUCE: (188), (18089) imply:
% 175.92/27.15 | | | | | | | | | | | | | | | | (18095) ~ (all_61_11 = all_40_1)
% 175.92/27.15 | | | | | | | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | | | | | | | SIMP: (18095) implies:
% 175.92/27.15 | | | | | | | | | | | | | | | | (18096) ~ (all_61_11 = all_40_1)
% 175.92/27.15 | | | | | | | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | | | | | | | REDUCE: (187), (18089) imply:
% 175.92/27.15 | | | | | | | | | | | | | | | | (18097) ~ (all_61_12 = all_40_1)
% 175.92/27.15 | | | | | | | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | | | | | | | SIMP: (18097) implies:
% 175.92/27.15 | | | | | | | | | | | | | | | | (18098) ~ (all_61_12 = all_40_1)
% 175.92/27.15 | | | | | | | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | | | | | | | REDUCE: (17753), (18089) imply:
% 175.92/27.15 | | | | | | | | | | | | | | | | (18099) ~ (all_40_1 = all_6_1)
% 175.92/27.15 | | | | | | | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | | | | | | | REDUCE: (18024), (18089) imply:
% 175.92/27.15 | | | | | | | | | | | | | | | | (18100) ~ (all_40_1 = e1)
% 175.92/27.15 | | | | | | | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | | | | | | | REDUCE: (666), (18087), (18090) imply:
% 175.92/27.15 | | | | | | | | | | | | | | | | (18101) op(all_40_1, e3) = e1
% 175.92/27.15 | | | | | | | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | | | | | | | REDUCE: (642), (18089) imply:
% 175.92/27.15 | | | | | | | | | | | | | | | | (18102) op(all_40_1, e3) = all_65_8
% 175.92/27.15 | | | | | | | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e1, all_65_8, e3,
% 175.92/27.15 | | | | | | | | | | | | | | | | all_40_1, simplifying with (18101), (18102) gives:
% 175.92/27.15 | | | | | | | | | | | | | | | | (18103) all_65_8 = e1
% 175.92/27.15 | | | | | | | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | | | | | | | BETA: splitting (110) gives:
% 175.92/27.15 | | | | | | | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | | | | | | | Case 1:
% 175.92/27.15 | | | | | | | | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | | | | | | | | (18104) ~ (all_42_2 = e1)
% 175.92/27.15 | | | | | | | | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | | | | | | | | REDUCE: (532), (18104) imply:
% 175.92/27.15 | | | | | | | | | | | | | | | | | (18105) ~ (all_20_2 = e1)
% 175.92/27.15 | | | | | | | | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | | | | | | | | BETA: splitting (256) gives:
% 175.92/27.15 | | | | | | | | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | | | | | | | | Case 1:
% 175.92/27.15 | | | | | | | | | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | | | | | | | | | (18106) all_63_15 = e3
% 175.92/27.15 | | | | | | | | | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | | | | | | | | | REF_CLOSE: (422), (18049), (18106) are inconsistent by
% 175.92/27.15 | | | | | | | | | | | | | | | | | | sub-proof #501.
% 175.92/27.15 | | | | | | | | | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | | | | | | | | Case 2:
% 175.92/27.15 | | | | | | | | | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | | | | | | | | | (18107) all_63_15 = e2 | all_63_15 = e1 | all_63_15 = e0
% 175.92/27.15 | | | | | | | | | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | | | | | | | | | BETA: splitting (18107) gives:
% 175.92/27.15 | | | | | | | | | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | | | | | | | | | Case 1:
% 175.92/27.15 | | | | | | | | | | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | (18108) all_63_15 = e2
% 175.92/27.15 | | | | | | | | | | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (422), (18047), (18108) are inconsistent by
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | sub-proof #500.
% 175.92/27.15 | | | | | | | | | | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | | | | | | | | | Case 2:
% 175.92/27.15 | | | | | | | | | | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | (18109) all_63_15 = e1 | all_63_15 = e0
% 175.92/27.15 | | | | | | | | | | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | BETA: splitting (18109) gives:
% 175.92/27.15 | | | | | | | | | | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | Case 1:
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | (18110) all_63_15 = e1
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (422), (18105), (18110) are inconsistent by
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | sub-proof #499.
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | Case 2:
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | (18111) all_63_15 = e0
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (422), (18111) imply:
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | (18112) all_20_2 = e0
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | SIMP: (18112) implies:
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | (18113) all_20_2 = e0
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | REDUCE: (624), (18113) imply:
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | (18114) ~ (all_61_11 = e0)
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | REDUCE: (625), (18113) imply:
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | (18115) ~ (all_61_12 = e0)
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | REDUCE: (627), (18113) imply:
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | (18116) ~ (all_61_14 = e0)
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | REDUCE: (694), (18113) imply:
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | (18117) op(e0, e3) = all_65_73
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | REDUCE: (713), (18113) imply:
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | (18118) op(e3, e0) = all_65_15
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | REDUCE: (747), (18113) imply:
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | (18119) op(e1, e0) = all_65_47
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_3, all_65_73, e3,
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | e0, simplifying with (226), (18117) gives:
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | (18120) all_65_73 = all_61_3
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_14, all_65_47, e0,
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | e1, simplifying with (227), (18119) gives:
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | (18121) all_65_47 = all_61_14
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_12, all_65_15, e0,
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | e3, simplifying with (235), (18118) gives:
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | (18122) all_65_15 = all_61_12
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | BETA: splitting (168) gives:
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | (18123) ~ (all_58_0 = e2)
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | REDUCE: (484), (18123) imply:
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | (18124) ~ (all_52_0 = e2)
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (167) gives:
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | | (18125) ~ (all_58_0 = e1)
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (484), (18125) imply:
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | | (18126) ~ (all_52_0 = e1)
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (166) gives:
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | | | (18127) ~ (all_58_0 = e0)
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (484), (18127) imply:
% 175.92/27.15 | | | | | | | | | | | | | | | | | | | | | | | (18128) ~ (all_52_0 = e0)
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (50), (151), (227), (534), (714), (18070),
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | | (18116), (18124), (18126), (18128) are
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #103.
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | | (18129) all_58_3 = e3
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | | (18130) all_58_0 = e0
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (484), (18130) imply:
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | | (18131) all_52_0 = e0
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (18131) implies:
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | | (18132) all_52_0 = e0
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (475), (18129) imply:
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | | (18133) all_52_3 = e3
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (18133) implies:
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | | (18134) all_52_3 = e3
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (714), (18132) imply:
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | | (18135) op(e3, e0) = unit
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (765), (18134) imply:
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | | (18136) op(e0, e3) = unit
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_3, unit, e3, e0,
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (226), (18136) gives:
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | | (18137) all_61_3 = unit
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_12, unit, e0, e3,
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (235), (18135) gives:
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | | (18138) all_61_12 = unit
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (206), (18137) imply:
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | | (18139) ~ (all_61_11 = unit)
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (18139) implies:
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | | (18140) ~ (all_61_11 = unit)
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18098), (18138) imply:
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | | (18141) ~ (all_40_1 = unit)
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (18141) implies:
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | | (18142) ~ (all_40_1 = unit)
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17755), (18138) imply:
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | | (18143) ~ (all_6_1 = unit)
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (18143) implies:
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | | (18144) ~ (all_6_1 = unit)
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18060), (18138) imply:
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | | (18145) ~ (unit = e1)
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18115), (18138) imply:
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | | (18146) ~ (unit = e0)
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18012) gives:
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | | | (18147) unit = e2
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18140), (18147) imply:
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | | | (18148) ~ (all_61_11 = e2)
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18142), (18147) imply:
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | | | (18149) ~ (all_40_1 = e2)
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18144), (18147) imply:
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | | | (18150) ~ (all_6_1 = e2)
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (267) gives:
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | (18151) all_63_4 = e3
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (17738), (18151) imply:
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | (18152) all_6_1 = e3
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17758), (18152) imply:
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | (18153) $false
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (18153) is inconsistent.
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | (18154) all_63_4 = e2 | all_63_4 = e1 | all_63_4 = e0
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18057) gives:
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | (18155) ~ (all_40_1 = e0)
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (257) gives:
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | (18156) all_63_14 = e3
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (510), (18156) imply:
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | (18157) all_61_11 = e3
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18096), (18157) imply:
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | (18158) ~ (all_40_1 = e3)
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (18158) implies:
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | (18159) ~ (all_40_1 = e3)
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (263), (18094), (18100), (18149), (18155), (18159)
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #432.
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | (18160) all_63_14 = e2 | all_63_14 = e1 | all_63_14 = e0
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (510), (18026), (18114), (18148), (18160) are
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #517.
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | (18161) all_40_1 = e0
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18099), (18161) imply:
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | (18162) ~ (all_6_1 = e0)
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (18162) implies:
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | (18163) ~ (all_6_1 = e0)
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17738), (18062), (18150), (18154), (18163) are
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #101.
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | | | (18164) unit = e1 | unit = e0
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18145), (18146), (18164) are inconsistent by
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #419.
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | (18165) all_58_2 = e3
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | (18166) all_58_0 = e1
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (50), (478), (484), (629), (714), (18056),
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | (18101), (18165), (18166) are inconsistent by
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | sub-proof #483.
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | End of split
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | (18167) all_58_0 = e2
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (20), (50), (484), (714), (17771), (18068),
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | (18167) are inconsistent by sub-proof #99.
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | End of split
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | End of split
% 175.92/27.16 | | | | | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | | | | End of split
% 175.92/27.16 | | | | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | | | End of split
% 175.92/27.16 | | | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | | Case 2:
% 175.92/27.16 | | | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | | | (18168) all_42_2 = e1
% 175.92/27.16 | | | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | | | COMBINE_EQS: (532), (18168) imply:
% 175.92/27.16 | | | | | | | | | | | | | | | | | (18169) all_20_2 = e1
% 175.92/27.16 | | | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | | | SIMP: (18169) implies:
% 175.92/27.16 | | | | | | | | | | | | | | | | | (18170) all_20_2 = e1
% 175.92/27.16 | | | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | | | REDUCE: (626), (18170) imply:
% 175.92/27.16 | | | | | | | | | | | | | | | | | (18171) ~ (all_61_13 = e1)
% 175.92/27.16 | | | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | | | REDUCE: (713), (18170) imply:
% 175.92/27.16 | | | | | | | | | | | | | | | | | (18172) op(e3, e1) = all_65_15
% 175.92/27.16 | | | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | | | REDUCE: (730), (18170) imply:
% 175.92/27.16 | | | | | | | | | | | | | | | | | (18173) op(e2, e1) = all_65_31
% 175.92/27.16 | | | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | | | REDUCE: (76), (18170) imply:
% 175.92/27.16 | | | | | | | | | | | | | | | | | (18174) op(e0, e0) = e1
% 175.92/27.16 | | | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | | | BETA: splitting (171) gives:
% 175.92/27.16 | | | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | | | Case 1:
% 175.92/27.16 | | | | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | | | | (18175) ( ~ (all_60_0 = e1) & op(e3, e3) = all_60_0 &
% 175.92/27.16 | | | | | | | | | | | | | | | | | | $i(all_60_0)) | ( ~ (all_60_1 = e1) & op(e2, e2)
% 175.92/27.16 | | | | | | | | | | | | | | | | | | = all_60_1 & $i(all_60_1))
% 175.92/27.16 | | | | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | | | | BETA: splitting (18175) gives:
% 175.92/27.16 | | | | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | | | | Case 1:
% 175.92/27.16 | | | | | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | (18176) ~ (all_60_0 = e1) & op(e3, e3) = all_60_0 &
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | $i(all_60_0)
% 175.92/27.16 | | | | | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (50), (18070), (18176) are inconsistent by
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | sub-proof #334.
% 175.92/27.16 | | | | | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | | | | Case 2:
% 175.92/27.16 | | | | | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | (18177) ~ (all_60_1 = e1) & op(e2, e2) = all_60_1 &
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | $i(all_60_1)
% 175.92/27.16 | | | | | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | ALPHA: (18177) implies:
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | (18178) op(e2, e2) = all_60_1
% 175.92/27.16 | | | | | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_9, all_65_31, e1,
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | e2, simplifying with (232), (18173) gives:
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | (18179) all_65_31 = all_61_9
% 175.92/27.16 | | | | | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e3, all_60_1, e2, e2,
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | simplifying with (17713), (18178) gives:
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | (18180) all_60_1 = e3
% 175.92/27.16 | | | | | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_40_1, all_65_15, e1,
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | e3, simplifying with (18056), (18172) gives:
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | (18181) all_65_15 = all_40_1
% 175.92/27.16 | | | | | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | REDUCE: (649), (18181) imply:
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | (18182) op(all_61_12, e0) = all_40_1
% 175.92/27.16 | | | | | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | REDUCE: (665), (18179) imply:
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | (18183) op(all_61_13, e0) = all_61_9
% 175.92/27.16 | | | | | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | BETA: splitting (159) gives:
% 175.92/27.16 | | | | | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | Case 1:
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | (18184) ~ (all_58_3 = e3)
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | REDUCE: (475), (18184) imply:
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | (18185) ~ (all_52_3 = e3)
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | BETA: splitting (166) gives:
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | (18186) ~ (all_58_0 = e0)
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | REDUCE: (484), (18186) imply:
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | (18187) ~ (all_52_0 = e0)
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (158) gives:
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | (18188) ~ (all_58_3 = e2)
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (475), (18188) imply:
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | (18189) ~ (all_52_3 = e2)
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (164) gives:
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | | (18190) ~ (all_58_1 = e1)
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (481), (18190) imply:
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | | (18191) ~ (all_52_1 = e1)
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (20), (50), (150), (163), (165), (475),
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | | (481), (484), (536), (714), (731), (17713),
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | | (17771), (18011), (18068), (18189), (18191) are
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #96.
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | | (18192) all_58_2 = e2
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | | (18193) all_58_1 = e1
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (481), (18193) imply:
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | | (18194) all_52_1 = e1
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (18194) implies:
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | | (18195) all_52_1 = e1
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (478), (18192) imply:
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | | (18196) all_52_2 = e2
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (18196) implies:
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | | (18197) all_52_2 = e2
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (628), (18195) imply:
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | | (18198) ~ (all_52_0 = e1)
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (629), (18197) imply:
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | | (18199) ~ (all_52_0 = e2)
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (731), (18195) imply:
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | | (18200) op(e2, e1) = unit
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (151) gives:
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | | | (18201) all_56_0 = e3
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (534), (18201) imply:
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | | | (18202) all_52_0 = e3
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (18202) implies:
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | | | (18203) all_52_0 = e3
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (714), (18203) imply:
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | | | (18204) op(e3, e3) = unit
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_9, unit, e1, e2,
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (232), (18200) gives:
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | | | (18205) all_61_9 = unit
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e1, unit, e3, e3,
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (18070), (18204) gives:
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | | | (18206) unit = e1
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (18205), (18206) imply:
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | | | (18207) all_61_9 = e1
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18025), (18207) imply:
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | | | (18208) $false
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (18208) is inconsistent.
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | | | (18209) all_56_0 = e2 | all_56_0 = e1 | all_56_0 = e0
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (534), (18187), (18198), (18199), (18209) are
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #512.
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | (18210) all_58_3 = e2
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | (18211) all_58_1 = e0
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (481), (18211) imply:
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | (18212) all_52_1 = e0
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | SIMP: (18212) implies:
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | (18213) all_52_1 = e0
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (475), (18210) imply:
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | (18214) all_52_3 = e2
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (731), (18213) imply:
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | (18215) op(e2, e0) = unit
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (765), (18214) imply:
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | (18216) op(e0, e2) = unit
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_7, unit, e2, e0,
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | simplifying with (225), (18216) gives:
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | (18217) all_61_7 = unit
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_13, unit, e0, e2,
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | simplifying with (231), (18215) gives:
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | (18218) all_61_13 = unit
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (184), (18218) imply:
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | (18219) ~ (all_61_9 = unit)
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (180), (18218) imply:
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | (18220) ~ (all_61_12 = unit)
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18171), (18218) imply:
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | (18221) ~ (unit = e1)
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17768), (18217) imply:
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | (18222) op(unit, e2) = all_61_3
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (689), (18217) imply:
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | (18223) op(unit, e0) = all_65_63
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (663), (18218) imply:
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | (18224) op(unit, e2) = all_65_29
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18183), (18218) imply:
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | (18225) op(unit, e0) = all_61_9
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (728), (18217) imply:
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | (18226) op(e2, unit) = all_65_29
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17774), (18218) imply:
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | (18227) op(e2, unit) = all_61_12
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_12, all_65_29,
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | unit, e2, simplifying with (18226), (18227) gives:
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | (18228) all_65_29 = all_61_12
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e0, all_65_63, e0, unit,
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | simplifying with (7), (18223) gives:
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | (18229) all_65_63 = e0
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_9, all_65_63, e0,
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | unit, simplifying with (18223), (18225) gives:
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | (18230) all_65_63 = all_61_9
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e2, all_65_29, e2, unit,
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | simplifying with (9), (18224) gives:
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | (18231) all_65_29 = e2
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_3, all_65_29, e2,
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | unit, simplifying with (18222), (18224) gives:
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | (18232) all_65_29 = all_61_3
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (18231), (18232) imply:
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | (18233) all_61_3 = e2
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (18228), (18232) imply:
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | (18234) all_61_3 = all_61_12
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (18229), (18230) imply:
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | (18235) all_61_9 = e0
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | SIMP: (18235) implies:
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | (18236) all_61_9 = e0
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (18233), (18234) imply:
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | (18237) all_61_12 = e2
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | SIMP: (18237) implies:
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | (18238) all_61_12 = e2
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18012), (18219), (18220), (18221), (18236),
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | | (18238) are inconsistent by sub-proof #95.
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | End of split
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | (18239) all_58_3 = e3
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (475), (18239) imply:
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | (18240) all_52_3 = e3
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | REDUCE: (18185), (18240) imply:
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | (18241) $false
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | CLOSE: (18241) is inconsistent.
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | End of split
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | Case 2:
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | (18242) all_58_3 = e3
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | (18243) all_58_0 = e0
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (484), (18243) imply:
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | (18244) all_52_0 = e0
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | SIMP: (18244) implies:
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | (18245) all_52_0 = e0
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (475), (18242) imply:
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | (18246) all_52_3 = e3
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | REDUCE: (714), (18245) imply:
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | (18247) op(e3, e0) = unit
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | REDUCE: (765), (18246) imply:
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | (18248) op(e0, e3) = unit
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_3, unit, e3, e0,
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | simplifying with (226), (18248) gives:
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | (18249) all_61_3 = unit
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_12, unit, e0, e3,
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | simplifying with (235), (18247) gives:
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | (18250) all_61_12 = unit
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | REDUCE: (18098), (18250) imply:
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | (18251) ~ (all_40_1 = unit)
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | SIMP: (18251) implies:
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | (18252) ~ (all_40_1 = unit)
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | REDUCE: (17755), (18250) imply:
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | (18253) ~ (all_6_1 = unit)
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | SIMP: (18253) implies:
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | (18254) ~ (all_6_1 = unit)
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | REDUCE: (18060), (18250) imply:
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | (18255) ~ (unit = e1)
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (18249) imply:
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | (18256) op(unit, e0) = all_65_55
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | REDUCE: (18182), (18250) imply:
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | (18257) op(unit, e0) = all_40_1
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e0, all_65_55, e0, unit,
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | simplifying with (7), (18256) gives:
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | (18258) all_65_55 = e0
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_40_1, all_65_55, e0,
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | unit, simplifying with (18256), (18257) gives:
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | (18259) all_65_55 = all_40_1
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (18258), (18259) imply:
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | (18260) all_40_1 = e0
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | REDUCE: (18099), (18260) imply:
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | (18261) ~ (all_6_1 = e0)
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | SIMP: (18261) implies:
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | (18262) ~ (all_6_1 = e0)
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | REDUCE: (18252), (18260) imply:
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | (18263) ~ (unit = e0)
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | SIMP: (18263) implies:
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | (18264) ~ (unit = e0)
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | BETA: splitting (18012) gives:
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | (18265) unit = e2
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | REDUCE: (18254), (18265) imply:
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | (18266) ~ (all_6_1 = e2)
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (267), (17738), (17758), (18062), (18262), (18266)
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #93.
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | (18267) unit = e1 | unit = e0
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18255), (18264), (18267) are inconsistent by
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | | sub-proof #419.
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | | End of split
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | End of split
% 175.92/27.16 | | | | | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | | | | End of split
% 175.92/27.16 | | | | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | | | Case 2:
% 175.92/27.16 | | | | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | | | | (18268) ( ~ (all_60_2 = e1) & op(e1, e1) = all_60_2 &
% 175.92/27.16 | | | | | | | | | | | | | | | | | | $i(all_60_2)) | ( ~ (all_60_3 = e1) & op(e0, e0)
% 175.92/27.16 | | | | | | | | | | | | | | | | | | = all_60_3 & $i(all_60_3))
% 175.92/27.16 | | | | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | | | | BETA: splitting (18268) gives:
% 175.92/27.16 | | | | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | | | | Case 1:
% 175.92/27.16 | | | | | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | (18269) ~ (all_60_2 = e1) & op(e1, e1) = all_60_2 &
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | $i(all_60_2)
% 175.92/27.16 | | | | | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | ALPHA: (18269) implies:
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | (18270) ~ (all_60_2 = e1)
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | (18271) op(e1, e1) = all_60_2
% 175.92/27.16 | | | | | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (50), (18034), (18066), (18072), (18270), (18271)
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #332.
% 175.92/27.16 | | | | | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | | | | Case 2:
% 175.92/27.16 | | | | | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | (18272) ~ (all_60_3 = e1) & op(e0, e0) = all_60_3 &
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | $i(all_60_3)
% 175.92/27.16 | | | | | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (50), (18174), (18272) are inconsistent by
% 175.92/27.16 | | | | | | | | | | | | | | | | | | | sub-proof #299.
% 175.92/27.16 | | | | | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | | | | End of split
% 175.92/27.16 | | | | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | | | End of split
% 175.92/27.16 | | | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | | End of split
% 175.92/27.16 | | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | End of split
% 175.92/27.16 | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | End of split
% 175.92/27.16 | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | Case 2:
% 175.92/27.16 | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | (18273) all_36_2 = e0
% 175.92/27.16 | | | | | | | | | | | | | | (18274) op(e3, e0) = all_36_1 & $i(all_36_1) & ( ~
% 175.92/27.16 | | | | | | | | | | | | | | (all_36_1 = e2) | ( ~ (all_36_0 = e1) & op(e2,
% 175.92/27.16 | | | | | | | | | | | | | | e3) = all_36_0 & $i(all_36_0)))
% 175.92/27.16 | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | ALPHA: (18274) implies:
% 175.92/27.16 | | | | | | | | | | | | | | (18275) op(e3, e0) = all_36_1
% 175.92/27.16 | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | COMBINE_EQS: (557), (18273) imply:
% 175.92/27.16 | | | | | | | | | | | | | | (18276) all_14_2 = e0
% 175.92/27.16 | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | SIMP: (18276) implies:
% 175.92/27.16 | | | | | | | | | | | | | | (18277) all_14_2 = e0
% 175.92/27.16 | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | COMBINE_EQS: (549), (18277) imply:
% 175.92/27.16 | | | | | | | | | | | | | | (18278) all_44_2 = e0
% 175.92/27.16 | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | REDUCE: (595), (18277) imply:
% 175.92/27.16 | | | | | | | | | | | | | | (18279) ~ (all_61_2 = e0)
% 175.92/27.16 | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | REDUCE: (17757), (18277) imply:
% 175.92/27.16 | | | | | | | | | | | | | | (18280) ~ (all_6_1 = e0)
% 175.92/27.16 | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | SIMP: (18280) implies:
% 175.92/27.16 | | | | | | | | | | | | | | (18281) ~ (all_6_1 = e0)
% 175.92/27.16 | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | REDUCE: (634), (18277) imply:
% 175.92/27.16 | | | | | | | | | | | | | | (18282) op(e0, e3) = all_65_0
% 175.92/27.16 | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | REDUCE: (17789), (18277) imply:
% 175.92/27.16 | | | | | | | | | | | | | | (18283) op(e0, e2) = all_65_16
% 175.92/27.16 | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | REDUCE: (636), (18277) imply:
% 175.92/27.16 | | | | | | | | | | | | | | (18284) op(e0, e1) = all_65_2
% 175.92/27.16 | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | REDUCE: (637), (18277) imply:
% 175.92/27.16 | | | | | | | | | | | | | | (18285) op(e0, e0) = all_65_3
% 175.92/27.16 | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | REDUCE: (17764), (18277) imply:
% 175.92/27.16 | | | | | | | | | | | | | | (18286) op(all_6_1, e2) = e0
% 175.92/27.16 | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | REDUCE: (698), (18277) imply:
% 175.92/27.16 | | | | | | | | | | | | | | (18287) op(e3, e0) = all_65_0
% 175.92/27.16 | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | REDUCE: (67), (18277) imply:
% 175.92/27.16 | | | | | | | | | | | | | | (18288) op(e3, e3) = e0
% 175.92/27.16 | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | REDUCE: (715), (18277) imply:
% 175.92/27.16 | | | | | | | | | | | | | | (18289) op(e2, e0) = all_65_16
% 175.92/27.16 | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | REDUCE: (732), (18277) imply:
% 175.92/27.16 | | | | | | | | | | | | | | (18290) op(e1, e0) = all_65_32
% 175.92/27.16 | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | REDUCE: (749), (18277) imply:
% 175.92/27.16 | | | | | | | | | | | | | | (18291) op(e0, e0) = all_65_49
% 175.92/27.16 | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | BETA: splitting (113) gives:
% 175.92/27.16 | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | Case 1:
% 175.92/27.16 | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | (18292) ~ (all_44_2 = e0)
% 175.92/27.16 | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | REDUCE: (18278), (18292) imply:
% 175.92/27.16 | | | | | | | | | | | | | | | (18293) $false
% 175.92/27.16 | | | | | | | | | | | | | | |
% 175.92/27.16 | | | | | | | | | | | | | | | CLOSE: (18293) is inconsistent.
% 175.92/27.16 | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | Case 2:
% 175.92/27.17 | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | (18294) op(e3, e0) = all_44_1 & $i(all_44_1) & ( ~
% 175.92/27.17 | | | | | | | | | | | | | | | (all_44_1 = e1) | ( ~ (all_44_0 = e2) & op(e1,
% 175.92/27.17 | | | | | | | | | | | | | | | e3) = all_44_0 & $i(all_44_0)))
% 175.92/27.17 | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | ALPHA: (18294) implies:
% 175.92/27.17 | | | | | | | | | | | | | | | (18295) op(e3, e0) = all_44_1
% 175.92/27.17 | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_20_2, all_65_3, e0,
% 175.92/27.17 | | | | | | | | | | | | | | | e0, simplifying with (76), (18285) gives:
% 175.92/27.17 | | | | | | | | | | | | | | | (18296) all_65_3 = all_20_2
% 175.92/27.17 | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_49, all_65_3, e0,
% 175.92/27.17 | | | | | | | | | | | | | | | e0, simplifying with (18285), (18291) gives:
% 175.92/27.17 | | | | | | | | | | | | | | | (18297) all_65_3 = all_65_49
% 175.92/27.17 | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_11, all_65_2, e1,
% 175.92/27.17 | | | | | | | | | | | | | | | e0, simplifying with (224), (18284) gives:
% 175.92/27.17 | | | | | | | | | | | | | | | (18298) all_65_2 = all_61_11
% 175.92/27.17 | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_7, all_65_16, e2,
% 175.92/27.17 | | | | | | | | | | | | | | | e0, simplifying with (225), (18283) gives:
% 175.92/27.17 | | | | | | | | | | | | | | | (18299) all_65_16 = all_61_7
% 175.92/27.17 | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_3, all_65_0, e3,
% 175.92/27.17 | | | | | | | | | | | | | | | e0, simplifying with (226), (18282) gives:
% 175.92/27.17 | | | | | | | | | | | | | | | (18300) all_65_0 = all_61_3
% 175.92/27.17 | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_14, all_65_32, e0,
% 175.92/27.17 | | | | | | | | | | | | | | | e1, simplifying with (227), (18290) gives:
% 175.92/27.17 | | | | | | | | | | | | | | | (18301) all_65_32 = all_61_14
% 175.92/27.17 | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_13, all_65_16, e0,
% 175.92/27.17 | | | | | | | | | | | | | | | e2, simplifying with (231), (18289) gives:
% 175.92/27.17 | | | | | | | | | | | | | | | (18302) all_65_16 = all_61_13
% 175.92/27.17 | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_12, all_44_1, e0,
% 175.92/27.17 | | | | | | | | | | | | | | | e3, simplifying with (235), (18295) gives:
% 175.92/27.17 | | | | | | | | | | | | | | | (18303) all_61_12 = all_44_1
% 175.92/27.17 | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_12, all_65_0, e0,
% 175.92/27.17 | | | | | | | | | | | | | | | e3, simplifying with (235), (18287) gives:
% 175.92/27.17 | | | | | | | | | | | | | | | (18304) all_65_0 = all_61_12
% 175.92/27.17 | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_36_1, all_65_0, e0,
% 175.92/27.17 | | | | | | | | | | | | | | | e3, simplifying with (18275), (18287) gives:
% 175.92/27.17 | | | | | | | | | | | | | | | (18305) all_65_0 = all_36_1
% 175.92/27.17 | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | COMBINE_EQS: (18304), (18305) imply:
% 175.92/27.17 | | | | | | | | | | | | | | | (18306) all_61_12 = all_36_1
% 175.92/27.17 | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | SIMP: (18306) implies:
% 175.92/27.17 | | | | | | | | | | | | | | | (18307) all_61_12 = all_36_1
% 175.92/27.17 | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | COMBINE_EQS: (18300), (18305) imply:
% 175.92/27.17 | | | | | | | | | | | | | | | (18308) all_61_3 = all_36_1
% 175.92/27.17 | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | SIMP: (18308) implies:
% 175.92/27.17 | | | | | | | | | | | | | | | (18309) all_61_3 = all_36_1
% 175.92/27.17 | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | COMBINE_EQS: (18296), (18297) imply:
% 175.92/27.17 | | | | | | | | | | | | | | | (18310) all_65_49 = all_20_2
% 175.92/27.17 | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | COMBINE_EQS: (18299), (18302) imply:
% 175.92/27.17 | | | | | | | | | | | | | | | (18311) all_61_7 = all_61_13
% 175.92/27.17 | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | SIMP: (18311) implies:
% 175.92/27.17 | | | | | | | | | | | | | | | (18312) all_61_7 = all_61_13
% 175.92/27.17 | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | COMBINE_EQS: (18303), (18307) imply:
% 175.92/27.17 | | | | | | | | | | | | | | | (18313) all_44_1 = all_36_1
% 175.92/27.17 | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | REDUCE: (195), (18312) imply:
% 175.92/27.17 | | | | | | | | | | | | | | | (18314) ~ (all_61_6 = all_61_13)
% 175.92/27.17 | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | REDUCE: (682), (18309), (18310) imply:
% 175.92/27.17 | | | | | | | | | | | | | | | (18315) op(all_36_1, e3) = all_20_2
% 175.92/27.17 | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | REDUCE: (685), (18309) imply:
% 175.92/27.17 | | | | | | | | | | | | | | | (18316) op(all_36_1, e0) = all_65_55
% 175.92/27.17 | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | REDUCE: (17768), (18309), (18312) imply:
% 175.92/27.17 | | | | | | | | | | | | | | | (18317) op(all_61_13, e2) = all_36_1
% 175.92/27.17 | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | REDUCE: (689), (18312) imply:
% 175.92/27.17 | | | | | | | | | | | | | | | (18318) op(all_61_13, e0) = all_65_63
% 175.92/27.17 | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | REDUCE: (646), (18307) imply:
% 175.92/27.17 | | | | | | | | | | | | | | | (18319) op(all_36_1, e3) = all_65_12
% 175.92/27.17 | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | REDUCE: (649), (18307) imply:
% 175.92/27.17 | | | | | | | | | | | | | | | (18320) op(all_36_1, e0) = all_65_15
% 175.92/27.17 | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | REDUCE: (728), (18312) imply:
% 175.92/27.17 | | | | | | | | | | | | | | | (18321) op(e2, all_61_13) = all_65_29
% 175.92/27.17 | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | REDUCE: (761), (18309) imply:
% 175.92/27.17 | | | | | | | | | | | | | | | (18322) op(e0, all_36_1) = all_65_73
% 175.92/27.17 | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | REDUCE: (762), (18312) imply:
% 175.92/27.17 | | | | | | | | | | | | | | | (18323) op(e0, all_61_13) = all_65_75
% 175.92/27.17 | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | REDUCE: (752), (18307) imply:
% 175.92/27.17 | | | | | | | | | | | | | | | (18324) op(e0, all_36_1) = all_65_55
% 175.92/27.17 | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_73, all_65_55,
% 175.92/27.17 | | | | | | | | | | | | | | | all_36_1, e0, simplifying with (18322), (18324)
% 175.92/27.17 | | | | | | | | | | | | | | | gives:
% 175.92/27.17 | | | | | | | | | | | | | | | (18325) all_65_55 = all_65_73
% 175.92/27.17 | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_63, all_65_75,
% 175.92/27.17 | | | | | | | | | | | | | | | all_61_13, e0, simplifying with (756), (18323)
% 175.92/27.17 | | | | | | | | | | | | | | | gives:
% 175.92/27.17 | | | | | | | | | | | | | | | (18326) all_65_63 = all_65_75
% 175.92/27.17 | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_55, all_65_15, e0,
% 175.92/27.17 | | | | | | | | | | | | | | | all_36_1, simplifying with (18316), (18320) gives:
% 175.92/27.17 | | | | | | | | | | | | | | | (18327) all_65_15 = all_65_55
% 175.92/27.17 | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_20_2, all_65_12, e3,
% 175.92/27.17 | | | | | | | | | | | | | | | all_36_1, simplifying with (18315), (18319) gives:
% 175.92/27.17 | | | | | | | | | | | | | | | (18328) all_65_12 = all_20_2
% 175.92/27.17 | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_31, all_65_63, e0,
% 175.92/27.17 | | | | | | | | | | | | | | | all_61_13, simplifying with (665), (18318) gives:
% 175.92/27.17 | | | | | | | | | | | | | | | (18329) all_65_31 = all_65_63
% 175.92/27.17 | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_29, all_36_1, e2,
% 175.92/27.17 | | | | | | | | | | | | | | | all_61_13, simplifying with (663), (18317) gives:
% 175.92/27.17 | | | | | | | | | | | | | | | (18330) all_65_29 = all_36_1
% 175.92/27.17 | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | COMBINE_EQS: (18326), (18329) imply:
% 175.92/27.17 | | | | | | | | | | | | | | | (18331) all_65_31 = all_65_75
% 175.92/27.17 | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | COMBINE_EQS: (18325), (18327) imply:
% 175.92/27.17 | | | | | | | | | | | | | | | (18332) all_65_15 = all_65_73
% 175.92/27.17 | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | REDUCE: (18318), (18326) imply:
% 175.92/27.17 | | | | | | | | | | | | | | | (18333) op(all_61_13, e0) = all_65_75
% 175.92/27.17 | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | REDUCE: (713), (18332) imply:
% 175.92/27.17 | | | | | | | | | | | | | | | (18334) op(e3, all_20_2) = all_65_73
% 175.92/27.17 | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | REDUCE: (18321), (18330) imply:
% 175.92/27.17 | | | | | | | | | | | | | | | (18335) op(e2, all_61_13) = all_36_1
% 175.92/27.17 | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | REDUCE: (730), (18331) imply:
% 175.92/27.17 | | | | | | | | | | | | | | | (18336) op(e2, all_20_2) = all_65_75
% 175.92/27.17 | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | BETA: splitting (110) gives:
% 175.92/27.17 | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | Case 1:
% 175.92/27.17 | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | (18337) ~ (all_42_2 = e1)
% 175.92/27.17 | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | REDUCE: (532), (18337) imply:
% 175.92/27.17 | | | | | | | | | | | | | | | | (18338) ~ (all_20_2 = e1)
% 175.92/27.17 | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | BETA: splitting (256) gives:
% 175.92/27.17 | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | Case 1:
% 175.92/27.17 | | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | | (18339) all_63_15 = e3
% 175.92/27.17 | | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | | REF_CLOSE: (422), (18049), (18339) are inconsistent by
% 175.92/27.17 | | | | | | | | | | | | | | | | | sub-proof #501.
% 175.92/27.17 | | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | Case 2:
% 175.92/27.17 | | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | | (18340) all_63_15 = e2 | all_63_15 = e1 | all_63_15 = e0
% 175.92/27.17 | | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | | BETA: splitting (18340) gives:
% 175.92/27.17 | | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | | Case 1:
% 175.92/27.17 | | | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | | | (18341) all_63_15 = e2
% 175.92/27.17 | | | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | | | REF_CLOSE: (422), (18047), (18341) are inconsistent by
% 175.92/27.17 | | | | | | | | | | | | | | | | | | sub-proof #500.
% 175.92/27.17 | | | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | | Case 2:
% 175.92/27.17 | | | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | | | (18342) ~ (all_63_15 = e2)
% 175.92/27.17 | | | | | | | | | | | | | | | | | | (18343) all_63_15 = e1 | all_63_15 = e0
% 175.92/27.17 | | | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | | | BETA: splitting (18343) gives:
% 175.92/27.17 | | | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | | | Case 1:
% 175.92/27.17 | | | | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | (18344) all_63_15 = e1
% 175.92/27.17 | | | | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (422), (18338), (18344) are inconsistent by
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | sub-proof #499.
% 175.92/27.17 | | | | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | | | Case 2:
% 175.92/27.17 | | | | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | (18345) all_63_15 = e0
% 175.92/27.17 | | | | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (422), (18345) imply:
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | (18346) all_20_2 = e0
% 175.92/27.17 | | | | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | SIMP: (18346) implies:
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | (18347) all_20_2 = e0
% 175.92/27.17 | | | | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | REDUCE: (626), (18347) imply:
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | (18348) ~ (all_61_13 = e0)
% 175.92/27.17 | | | | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | REDUCE: (18047), (18347) imply:
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | (18349) ~ (e2 = e0)
% 175.92/27.17 | | | | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | REDUCE: (18315), (18347) imply:
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | (18350) op(all_36_1, e3) = e0
% 175.92/27.17 | | | | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | REDUCE: (18334), (18347) imply:
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | (18351) op(e3, e0) = all_65_73
% 175.92/27.17 | | | | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | REDUCE: (18336), (18347) imply:
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | (18352) op(e2, e0) = all_65_75
% 175.92/27.17 | | | | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_13, all_65_75, e0,
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | e2, simplifying with (231), (18352) gives:
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | (18353) all_65_75 = all_61_13
% 175.92/27.17 | | | | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_36_1, all_65_73, e0,
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | e3, simplifying with (18275), (18351) gives:
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | (18354) all_65_73 = all_36_1
% 175.92/27.17 | | | | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | REDUCE: (18333), (18353) imply:
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | (18355) op(all_61_13, e0) = all_61_13
% 175.92/27.17 | | | | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | BETA: splitting (162) gives:
% 175.92/27.17 | | | | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | Case 1:
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | (18356) ~ (all_58_2 = e3)
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | REDUCE: (478), (18356) imply:
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | (18357) ~ (all_52_2 = e3)
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | BETA: splitting (167) gives:
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | (18358) ~ (all_58_0 = e1)
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | REDUCE: (484), (18358) imply:
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | (18359) ~ (all_52_0 = e1)
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (164) gives:
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | | (18360) ~ (all_58_1 = e1)
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (481), (18360) imply:
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | | (18361) ~ (all_52_1 = e1)
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (10), (13), (19), (49), (50),
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | | (124), (150), (151), (166), (168), (231), (475),
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | | (484), (534), (536), (628), (630), (632), (714),
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | | (731), (17771), (18011), (18275), (18286),
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | | (18288), (18335), (18350), (18359), (18361) are
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #91.
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | | (18362) all_58_1 = e1
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (50), (232), (481), (731), (18025), (18044),
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | | (18362) are inconsistent by sub-proof #89.
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | End of split
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | (18363) all_58_2 = e3
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (478), (18357), (18363) are inconsistent by
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | sub-proof #507.
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | End of split
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | Case 2:
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | (18364) all_58_2 = e3
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | (18365) all_58_0 = e1
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (484), (18365) imply:
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | (18366) all_52_0 = e1
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | SIMP: (18366) implies:
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | (18367) all_52_0 = e1
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (478), (18364) imply:
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | (18368) all_52_2 = e3
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (50), (150), (163), (231), (481), (536),
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | (628), (631), (731), (17713), (18011), (18348),
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | (18355), (18367), (18368) are inconsistent by
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | sub-proof #85.
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | End of split
% 175.92/27.17 | | | | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | | | End of split
% 175.92/27.17 | | | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | | End of split
% 175.92/27.17 | | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | End of split
% 175.92/27.17 | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | Case 2:
% 175.92/27.17 | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | (18369) all_42_2 = e1
% 175.92/27.17 | | | | | | | | | | | | | | | | (18370) op(e0, e1) = all_42_1 & $i(all_42_1) & ( ~
% 175.92/27.17 | | | | | | | | | | | | | | | | (all_42_1 = e3) | ( ~ (all_42_0 = e2) & op(e3,
% 175.92/27.17 | | | | | | | | | | | | | | | | e0) = all_42_0 & $i(all_42_0)))
% 175.92/27.17 | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | ALPHA: (18370) implies:
% 175.92/27.17 | | | | | | | | | | | | | | | | (18371) op(e0, e1) = all_42_1
% 175.92/27.17 | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | COMBINE_EQS: (532), (18369) imply:
% 175.92/27.17 | | | | | | | | | | | | | | | | (18372) all_20_2 = e1
% 175.92/27.17 | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | SIMP: (18372) implies:
% 175.92/27.17 | | | | | | | | | | | | | | | | (18373) all_20_2 = e1
% 175.92/27.17 | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | REDUCE: (626), (18373) imply:
% 175.92/27.17 | | | | | | | | | | | | | | | | (18374) ~ (all_61_13 = e1)
% 175.92/27.17 | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | REDUCE: (694), (18373) imply:
% 175.92/27.17 | | | | | | | | | | | | | | | | (18375) op(e1, e3) = all_65_73
% 175.92/27.17 | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | REDUCE: (695), (18373) imply:
% 175.92/27.17 | | | | | | | | | | | | | | | | (18376) op(e1, e2) = all_65_75
% 175.92/27.17 | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | REDUCE: (696), (18373) imply:
% 175.92/27.17 | | | | | | | | | | | | | | | | (18377) op(e1, e1) = all_65_77
% 175.92/27.17 | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | REDUCE: (697), (18373) imply:
% 175.92/27.17 | | | | | | | | | | | | | | | | (18378) op(e1, e0) = all_65_78
% 175.92/27.17 | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | REDUCE: (18334), (18373) imply:
% 175.92/27.17 | | | | | | | | | | | | | | | | (18379) op(e3, e1) = all_65_73
% 175.92/27.17 | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | REDUCE: (18336), (18373) imply:
% 175.92/27.17 | | | | | | | | | | | | | | | | (18380) op(e2, e1) = all_65_75
% 175.92/27.17 | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | REDUCE: (747), (18373) imply:
% 175.92/27.17 | | | | | | | | | | | | | | | | (18381) op(e1, e1) = all_65_47
% 175.92/27.17 | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | REDUCE: (764), (18373) imply:
% 175.92/27.17 | | | | | | | | | | | | | | | | (18382) op(e0, e1) = all_65_78
% 175.92/27.17 | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_11, all_65_78, e1,
% 175.92/27.17 | | | | | | | | | | | | | | | | e0, simplifying with (224), (18382) gives:
% 175.92/27.17 | | | | | | | | | | | | | | | | (18383) all_65_78 = all_61_11
% 175.92/27.17 | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_42_1, all_65_78, e1,
% 175.92/27.17 | | | | | | | | | | | | | | | | e0, simplifying with (18371), (18382) gives:
% 175.92/27.17 | | | | | | | | | | | | | | | | (18384) all_65_78 = all_42_1
% 175.92/27.17 | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_14, all_65_78, e0,
% 175.92/27.17 | | | | | | | | | | | | | | | | e1, simplifying with (227), (18378) gives:
% 175.92/27.17 | | | | | | | | | | | | | | | | (18385) all_65_78 = all_61_14
% 175.92/27.17 | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e1, all_65_47, e1, e1,
% 175.92/27.17 | | | | | | | | | | | | | | | | simplifying with (18034), (18381) gives:
% 175.92/27.17 | | | | | | | | | | | | | | | | (18386) all_65_47 = e1
% 175.92/27.17 | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_77, all_65_47, e1,
% 175.92/27.17 | | | | | | | | | | | | | | | | e1, simplifying with (18377), (18381) gives:
% 175.92/27.17 | | | | | | | | | | | | | | | | (18387) all_65_47 = all_65_77
% 175.92/27.17 | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_6, all_65_75, e2,
% 175.92/27.17 | | | | | | | | | | | | | | | | e1, simplifying with (229), (18376) gives:
% 175.92/27.17 | | | | | | | | | | | | | | | | (18388) all_65_75 = all_61_6
% 175.92/27.17 | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_2, all_65_73, e3,
% 175.92/27.17 | | | | | | | | | | | | | | | | e1, simplifying with (230), (18375) gives:
% 175.92/27.17 | | | | | | | | | | | | | | | | (18389) all_65_73 = all_61_2
% 175.92/27.17 | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_9, all_65_75, e1,
% 175.92/27.17 | | | | | | | | | | | | | | | | e2, simplifying with (232), (18380) gives:
% 175.92/27.17 | | | | | | | | | | | | | | | | (18390) all_65_75 = all_61_9
% 175.92/27.17 | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_8, all_65_73, e1,
% 175.92/27.17 | | | | | | | | | | | | | | | | e3, simplifying with (236), (18379) gives:
% 175.92/27.17 | | | | | | | | | | | | | | | | (18391) all_65_73 = all_61_8
% 175.92/27.17 | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | COMBINE_EQS: (18386), (18387) imply:
% 175.92/27.17 | | | | | | | | | | | | | | | | (18392) all_65_77 = e1
% 175.92/27.17 | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | COMBINE_EQS: (18389), (18391) imply:
% 175.92/27.17 | | | | | | | | | | | | | | | | (18393) all_61_2 = all_61_8
% 175.92/27.17 | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | SIMP: (18393) implies:
% 175.92/27.17 | | | | | | | | | | | | | | | | (18394) all_61_2 = all_61_8
% 175.92/27.17 | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | COMBINE_EQS: (18388), (18390) imply:
% 175.92/27.17 | | | | | | | | | | | | | | | | (18395) all_61_6 = all_61_9
% 175.92/27.17 | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | COMBINE_EQS: (18383), (18385) imply:
% 175.92/27.17 | | | | | | | | | | | | | | | | (18396) all_61_11 = all_61_14
% 175.92/27.17 | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | COMBINE_EQS: (18383), (18384) imply:
% 175.92/27.17 | | | | | | | | | | | | | | | | (18397) all_61_11 = all_42_1
% 175.92/27.17 | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | COMBINE_EQS: (18396), (18397) imply:
% 175.92/27.17 | | | | | | | | | | | | | | | | (18398) all_61_14 = all_42_1
% 175.92/27.17 | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | SIMP: (18398) implies:
% 175.92/27.17 | | | | | | | | | | | | | | | | (18399) all_61_14 = all_42_1
% 175.92/27.17 | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | COMBINE_EQS: (501), (18395) imply:
% 175.92/27.17 | | | | | | | | | | | | | | | | (18400) all_63_9 = all_61_9
% 175.92/27.17 | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | REDUCE: (18279), (18394) imply:
% 175.92/27.17 | | | | | | | | | | | | | | | | (18401) ~ (all_61_8 = e0)
% 175.92/27.17 | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | REDUCE: (177), (18399) imply:
% 175.92/27.17 | | | | | | | | | | | | | | | | (18402) ~ (all_61_13 = all_42_1)
% 175.92/27.17 | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | REDUCE: (668), (18394) imply:
% 175.92/27.17 | | | | | | | | | | | | | | | | (18403) op(all_61_8, e1) = all_65_34
% 175.92/27.17 | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | REDUCE: (672), (18395) imply:
% 175.92/27.17 | | | | | | | | | | | | | | | | (18404) op(all_61_9, e1) = all_65_38
% 175.92/27.17 | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | REDUCE: (693), (18397) imply:
% 175.92/27.17 | | | | | | | | | | | | | | | | (18405) op(all_42_1, e0) = all_65_71
% 175.92/27.17 | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | REDUCE: (681), (18386), (18399) imply:
% 175.92/27.17 | | | | | | | | | | | | | | | | (18406) op(all_42_1, e0) = e1
% 175.92/27.17 | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | REDUCE: (227), (18399) imply:
% 175.92/27.17 | | | | | | | | | | | | | | | | (18407) op(e1, e0) = all_42_1
% 175.92/27.17 | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e1, all_65_71, e0,
% 175.92/27.17 | | | | | | | | | | | | | | | | all_42_1, simplifying with (18405), (18406) gives:
% 175.92/27.17 | | | | | | | | | | | | | | | | (18408) all_65_71 = e1
% 175.92/27.17 | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_9, all_65_38, e1,
% 175.92/27.17 | | | | | | | | | | | | | | | | all_61_9, simplifying with (18044), (18404) gives:
% 175.92/27.17 | | | | | | | | | | | | | | | | (18409) all_65_38 = all_61_9
% 175.92/27.17 | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_8, all_65_34, e1,
% 175.92/27.17 | | | | | | | | | | | | | | | | all_61_8, simplifying with (18043), (18403) gives:
% 175.92/27.17 | | | | | | | | | | | | | | | | (18410) all_65_34 = all_61_8
% 175.92/27.17 | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | REDUCE: (738), (18409) imply:
% 175.92/27.17 | | | | | | | | | | | | | | | | (18411) op(e1, all_61_9) = all_61_9
% 175.92/27.17 | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | BETA: splitting (157) gives:
% 175.92/27.17 | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | Case 1:
% 175.92/27.17 | | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | | (18412) ~ (all_58_3 = e1)
% 175.92/27.17 | | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | | REDUCE: (475), (18412) imply:
% 175.92/27.17 | | | | | | | | | | | | | | | | | (18413) ~ (all_52_3 = e1)
% 175.92/27.17 | | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | | BETA: splitting (160) gives:
% 175.92/27.17 | | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | | Case 1:
% 175.92/27.17 | | | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | | | (18414) ~ (all_58_2 = e0)
% 175.92/27.17 | | | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | | | REDUCE: (478), (18414) imply:
% 175.92/27.17 | | | | | | | | | | | | | | | | | | (18415) ~ (all_52_2 = e0)
% 175.92/27.17 | | | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | | | BETA: splitting (164) gives:
% 175.92/27.17 | | | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | | | Case 1:
% 175.92/27.17 | | | | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | (18416) ~ (all_58_1 = e1)
% 175.92/27.17 | | | | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | REDUCE: (481), (18416) imply:
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | (18417) ~ (all_52_1 = e1)
% 175.92/27.17 | | | | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | BETA: splitting (161) gives:
% 175.92/27.17 | | | | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | Case 1:
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | (18418) ~ (all_58_2 = e2)
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | REDUCE: (478), (18418) imply:
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | (18419) ~ (all_52_2 = e2)
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | BETA: splitting (167) gives:
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | (18420) ~ (all_58_0 = e1)
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | REDUCE: (484), (18420) imply:
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | (18421) ~ (all_52_0 = e1)
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (162) gives:
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | | (18422) ~ (all_58_2 = e3)
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (478), (18422) imply:
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | | (18423) ~ (all_52_2 = e3)
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (149) gives:
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | | | (18424) all_56_2 = e3
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (538), (18423), (18424) are inconsistent by
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #482.
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | | | (18425) all_56_2 = e2 | all_56_2 = e1 | all_56_2 = e0
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18425) gives:
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | | | | (18426) all_56_2 = e2
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (538), (18419), (18426) are inconsistent by
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #481.
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | | | | (18427) all_56_2 = e1 | all_56_2 = e0
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18427) gives:
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | (18428) all_56_2 = e1
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (538), (18428) imply:
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | (18429) all_52_2 = e1
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (18429) implies:
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | (18430) all_52_2 = e1
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (748), (18430) imply:
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | (18431) op(e1, e1) = unit
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e1, unit, e1, e1,
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (18034), (18431) gives:
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | (18432) unit = e1
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7), (18432) imply:
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | (18433) op(e1, e0) = e0
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5), (18432) imply:
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | (18434) op(e2, e1) = e2
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_42_1, e0, e0, e1,
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (18407), (18433) gives:
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | (18435) all_42_1 = e0
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (50), (184), (232), (264), (498), (17706),
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | (18374), (18402), (18434), (18435) are
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #84.
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | (18436) all_56_2 = e0
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (538), (18415), (18436) are inconsistent by
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #480.
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | | (18437) all_58_0 = e1
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (484), (18421), (18437) are inconsistent by
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | | sub-proof #470.
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | End of split
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | (18438) all_58_0 = e1
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (484), (18438) imply:
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | (18439) all_52_0 = e1
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | REDUCE: (714), (18439) imply:
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | (18440) op(e3, e1) = unit
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_8, unit, e1, e3,
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | simplifying with (236), (18440) gives:
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | (18441) all_61_8 = unit
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | REDUCE: (190), (18441) imply:
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | (18442) ~ (all_61_9 = unit)
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | SIMP: (18442) implies:
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | (18443) ~ (all_61_9 = unit)
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | REDUCE: (17753), (18441) imply:
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | (18444) ~ (all_6_1 = unit)
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | SIMP: (18444) implies:
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | (18445) ~ (all_6_1 = unit)
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | REDUCE: (18024), (18441) imply:
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | (18446) ~ (unit = e1)
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | REDUCE: (18401), (18441) imply:
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | (18447) ~ (unit = e0)
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | REDUCE: (18043), (18441) imply:
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | (18448) op(unit, e1) = unit
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18012) gives:
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | | (18449) unit = e2
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18443), (18449) imply:
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | | (18450) ~ (all_61_9 = e2)
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18445), (18449) imply:
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | | (18451) ~ (all_6_1 = e2)
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18448), (18449) imply:
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | | (18452) op(e2, e1) = e2
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (262) gives:
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | | | (18453) all_63_9 = e3
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (18400), (18453) imply:
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | | | (18454) all_61_9 = e3
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17705), (18454) imply:
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | | | (18455) $false
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (18455) is inconsistent.
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | | | (18456) all_63_9 = e2 | all_63_9 = e1 | all_63_9 = e0
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18456) gives:
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | | | | (18457) all_63_9 = e2
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (18400), (18457) imply:
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | | | | (18458) all_61_9 = e2
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18450), (18458) imply:
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | | | | (18459) $false
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (18459) is inconsistent.
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | | | | (18460) all_63_9 = e1 | all_63_9 = e0
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (267) gives:
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | (18461) all_63_4 = e3
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (17738), (18461) imply:
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | (18462) all_6_1 = e3
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17758), (18462) imply:
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | (18463) $false
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (18463) is inconsistent.
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | (18464) all_63_4 = e2 | all_63_4 = e1 | all_63_4 = e0
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18464) gives:
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | (18465) all_63_4 = e2
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (17738), (18465) imply:
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | (18466) all_6_1 = e2
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18451), (18466) imply:
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | (18467) $false
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (18467) is inconsistent.
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | (18468) all_63_4 = e1 | all_63_4 = e0
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18468) gives:
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | (18469) all_63_4 = e1
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (17738), (18469) imply:
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | (18470) all_6_1 = e1
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18460) gives:
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18471) all_63_9 = e1
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (18400), (18471) imply:
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18472) all_61_9 = e1
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18025), (18472) imply:
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18473) $false
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (18473) is inconsistent.
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18474) all_63_9 = e0
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (18400), (18474) imply:
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18475) all_61_9 = e0
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18411), (18475) imply:
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18476) op(e1, e0) = e0
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (50), (184), (232), (264), (498), (17700),
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17706), (18374), (18402), (18407), (18452),
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18470), (18476) are inconsistent by sub-proof
% 175.92/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #83.
% 175.92/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.92/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.92/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | (18477) all_63_4 = e0
% 175.92/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (17738), (18477) imply:
% 175.92/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | (18478) all_6_1 = e0
% 175.92/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18281), (18478) imply:
% 175.92/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | (18479) $false
% 175.92/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (18479) is inconsistent.
% 175.92/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.92/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.92/27.18 | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.18 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.92/27.18 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.18 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.92/27.18 | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.18 | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.92/27.18 | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.18 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.92/27.18 | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.18 | | | | | | | | | | | | | | | | | | | | | | (18480) unit = e1 | unit = e0
% 175.92/27.18 | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.18 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18446), (18447), (18480) are inconsistent by
% 175.92/27.18 | | | | | | | | | | | | | | | | | | | | | | sub-proof #419.
% 175.92/27.18 | | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.18 | | | | | | | | | | | | | | | | | | | | | End of split
% 175.92/27.18 | | | | | | | | | | | | | | | | | | | | |
% 175.92/27.18 | | | | | | | | | | | | | | | | | | | | End of split
% 175.92/27.18 | | | | | | | | | | | | | | | | | | | |
% 175.92/27.18 | | | | | | | | | | | | | | | | | | | Case 2:
% 175.92/27.18 | | | | | | | | | | | | | | | | | | | |
% 175.92/27.18 | | | | | | | | | | | | | | | | | | | | (18481) all_58_1 = e1
% 175.92/27.18 | | | | | | | | | | | | | | | | | | | |
% 175.92/27.18 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (481), (18417), (18481) are inconsistent by
% 175.92/27.18 | | | | | | | | | | | | | | | | | | | | sub-proof #424.
% 175.92/27.18 | | | | | | | | | | | | | | | | | | | |
% 175.92/27.18 | | | | | | | | | | | | | | | | | | | End of split
% 175.92/27.18 | | | | | | | | | | | | | | | | | | |
% 175.92/27.18 | | | | | | | | | | | | | | | | | | Case 2:
% 175.92/27.18 | | | | | | | | | | | | | | | | | | |
% 175.92/27.18 | | | | | | | | | | | | | | | | | | | (18482) all_58_1 = e1
% 175.92/27.18 | | | | | | | | | | | | | | | | | | |
% 175.92/27.18 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (481), (18482) imply:
% 175.92/27.18 | | | | | | | | | | | | | | | | | | | (18483) all_52_1 = e1
% 175.92/27.18 | | | | | | | | | | | | | | | | | | |
% 175.92/27.18 | | | | | | | | | | | | | | | | | | | SIMP: (18483) implies:
% 175.92/27.18 | | | | | | | | | | | | | | | | | | | (18484) all_52_1 = e1
% 175.92/27.18 | | | | | | | | | | | | | | | | | | |
% 175.92/27.18 | | | | | | | | | | | | | | | | | | | REDUCE: (731), (18484) imply:
% 175.92/27.18 | | | | | | | | | | | | | | | | | | | (18485) op(e2, e1) = unit
% 175.92/27.18 | | | | | | | | | | | | | | | | | | |
% 175.92/27.18 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (50), (232), (18025), (18044), (18485) are
% 175.92/27.18 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #90.
% 175.92/27.18 | | | | | | | | | | | | | | | | | | |
% 175.92/27.18 | | | | | | | | | | | | | | | | | | End of split
% 175.92/27.18 | | | | | | | | | | | | | | | | | |
% 175.92/27.18 | | | | | | | | | | | | | | | | | Case 2:
% 175.92/27.18 | | | | | | | | | | | | | | | | | |
% 175.92/27.18 | | | | | | | | | | | | | | | | | | (18486) all_58_3 = e1
% 175.92/27.18 | | | | | | | | | | | | | | | | | |
% 175.92/27.18 | | | | | | | | | | | | | | | | | | REF_CLOSE: (475), (18413), (18486) are inconsistent by
% 175.92/27.18 | | | | | | | | | | | | | | | | | | sub-proof #460.
% 176.17/27.18 | | | | | | | | | | | | | | | | | |
% 176.17/27.18 | | | | | | | | | | | | | | | | | End of split
% 176.17/27.18 | | | | | | | | | | | | | | | | |
% 176.17/27.18 | | | | | | | | | | | | | | | | Case 2:
% 176.17/27.18 | | | | | | | | | | | | | | | | |
% 176.17/27.18 | | | | | | | | | | | | | | | | | (18487) all_58_3 = e1
% 176.17/27.18 | | | | | | | | | | | | | | | | | (18488) all_58_2 = e0
% 176.17/27.18 | | | | | | | | | | | | | | | | |
% 176.17/27.18 | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (50), (475), (478), (633), (748), (18406),
% 176.17/27.18 | | | | | | | | | | | | | | | | | (18407), (18487), (18488) are inconsistent by
% 176.17/27.18 | | | | | | | | | | | | | | | | | sub-proof #443.
% 176.17/27.18 | | | | | | | | | | | | | | | | |
% 176.17/27.18 | | | | | | | | | | | | | | | | End of split
% 176.17/27.18 | | | | | | | | | | | | | | | |
% 176.17/27.18 | | | | | | | | | | | | | | | End of split
% 176.17/27.18 | | | | | | | | | | | | | | |
% 176.17/27.18 | | | | | | | | | | | | | | End of split
% 176.17/27.18 | | | | | | | | | | | | | |
% 176.17/27.18 | | | | | | | | | | | | | End of split
% 176.17/27.18 | | | | | | | | | | | | |
% 176.17/27.18 | | | | | | | | | | | | Case 2:
% 176.17/27.18 | | | | | | | | | | | | |
% 176.17/27.18 | | | | | | | | | | | | | (18489) all_28_2 = e3
% 176.17/27.18 | | | | | | | | | | | | | (18490) op(e0, e3) = all_28_1 & $i(all_28_1) & ( ~
% 176.17/27.18 | | | | | | | | | | | | | (all_28_1 = e2) | ( ~ (all_28_0 = e1) & op(e2,
% 176.17/27.18 | | | | | | | | | | | | | e0) = all_28_0 & $i(all_28_0)))
% 176.17/27.18 | | | | | | | | | | | | |
% 176.17/27.18 | | | | | | | | | | | | | ALPHA: (18490) implies:
% 176.17/27.18 | | | | | | | | | | | | | (18491) op(e0, e3) = all_28_1
% 176.17/27.18 | | | | | | | | | | | | | (18492) ~ (all_28_1 = e2) | ( ~ (all_28_0 = e1) & op(e2,
% 176.17/27.18 | | | | | | | | | | | | | e0) = all_28_0 & $i(all_28_0))
% 176.17/27.18 | | | | | | | | | | | | |
% 176.17/27.18 | | | | | | | | | | | | | COMBINE_EQS: (563), (18489) imply:
% 176.17/27.18 | | | | | | | | | | | | | (18493) all_20_2 = e3
% 176.17/27.18 | | | | | | | | | | | | |
% 176.17/27.18 | | | | | | | | | | | | | SIMP: (18493) implies:
% 176.17/27.18 | | | | | | | | | | | | | (18494) all_20_2 = e3
% 176.17/27.18 | | | | | | | | | | | | |
% 176.17/27.18 | | | | | | | | | | | | | REDUCE: (694), (18494) imply:
% 176.17/27.18 | | | | | | | | | | | | | (18495) op(e3, e3) = all_65_73
% 176.17/27.18 | | | | | | | | | | | | |
% 176.17/27.18 | | | | | | | | | | | | | REDUCE: (696), (18494) imply:
% 176.17/27.18 | | | | | | | | | | | | | (18496) op(e3, e1) = all_65_77
% 176.17/27.18 | | | | | | | | | | | | |
% 176.17/27.18 | | | | | | | | | | | | | REDUCE: (697), (18494) imply:
% 176.17/27.18 | | | | | | | | | | | | | (18497) op(e3, e0) = all_65_78
% 176.17/27.18 | | | | | | | | | | | | |
% 176.17/27.18 | | | | | | | | | | | | | REDUCE: (713), (18494) imply:
% 176.17/27.18 | | | | | | | | | | | | | (18498) op(e3, e3) = all_65_15
% 176.17/27.18 | | | | | | | | | | | | |
% 176.17/27.18 | | | | | | | | | | | | | REDUCE: (730), (18494) imply:
% 176.17/27.18 | | | | | | | | | | | | | (18499) op(e2, e3) = all_65_31
% 176.17/27.18 | | | | | | | | | | | | |
% 176.17/27.18 | | | | | | | | | | | | | REDUCE: (747), (18494) imply:
% 176.17/27.18 | | | | | | | | | | | | | (18500) op(e1, e3) = all_65_47
% 176.17/27.18 | | | | | | | | | | | | |
% 176.17/27.18 | | | | | | | | | | | | | REDUCE: (764), (18494) imply:
% 176.17/27.18 | | | | | | | | | | | | | (18501) op(e0, e3) = all_65_78
% 176.17/27.18 | | | | | | | | | | | | |
% 176.17/27.18 | | | | | | | | | | | | | REDUCE: (76), (18494) imply:
% 176.17/27.18 | | | | | | | | | | | | | (18502) op(e0, e0) = e3
% 176.17/27.18 | | | | | | | | | | | | |
% 176.17/27.18 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_3, all_65_78, e3,
% 176.17/27.18 | | | | | | | | | | | | | e0, simplifying with (226), (18501) gives:
% 176.17/27.18 | | | | | | | | | | | | | (18503) all_65_78 = all_61_3
% 176.17/27.18 | | | | | | | | | | | | |
% 176.17/27.18 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_28_1, all_65_78, e3,
% 176.17/27.18 | | | | | | | | | | | | | e0, simplifying with (18491), (18501) gives:
% 176.17/27.18 | | | | | | | | | | | | | (18504) all_65_78 = all_28_1
% 176.17/27.18 | | | | | | | | | | | | |
% 176.17/27.18 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_2, all_65_47, e3,
% 176.17/27.18 | | | | | | | | | | | | | e1, simplifying with (230), (18500) gives:
% 176.17/27.18 | | | | | | | | | | | | | (18505) all_65_47 = all_61_2
% 176.17/27.18 | | | | | | | | | | | | |
% 176.17/27.18 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_6_1, all_65_31, e3,
% 176.17/27.18 | | | | | | | | | | | | | e2, simplifying with (17699), (18499) gives:
% 176.17/27.18 | | | | | | | | | | | | | (18506) all_65_31 = all_6_1
% 176.17/27.18 | | | | | | | | | | | | |
% 176.17/27.18 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_12, all_65_78, e0,
% 176.17/27.18 | | | | | | | | | | | | | e3, simplifying with (235), (18497) gives:
% 176.17/27.18 | | | | | | | | | | | | | (18507) all_65_78 = all_61_12
% 176.17/27.18 | | | | | | | | | | | | |
% 176.17/27.18 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_8, all_65_77, e1,
% 176.17/27.18 | | | | | | | | | | | | | e3, simplifying with (236), (18496) gives:
% 176.17/27.18 | | | | | | | | | | | | | (18508) all_65_77 = all_61_8
% 176.17/27.18 | | | | | | | | | | | | |
% 176.17/27.18 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_14_2, all_65_15, e3,
% 176.17/27.18 | | | | | | | | | | | | | e3, simplifying with (67), (18498) gives:
% 176.17/27.18 | | | | | | | | | | | | | (18509) all_65_15 = all_14_2
% 176.17/27.18 | | | | | | | | | | | | |
% 176.17/27.18 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_73, all_65_15, e3,
% 176.17/27.18 | | | | | | | | | | | | | e3, simplifying with (18495), (18498) gives:
% 176.17/27.18 | | | | | | | | | | | | | (18510) all_65_15 = all_65_73
% 176.17/27.18 | | | | | | | | | | | | |
% 176.17/27.18 | | | | | | | | | | | | | COMBINE_EQS: (18509), (18510) imply:
% 176.17/27.18 | | | | | | | | | | | | | (18511) all_65_73 = all_14_2
% 176.17/27.18 | | | | | | | | | | | | |
% 176.17/27.18 | | | | | | | | | | | | | COMBINE_EQS: (18504), (18507) imply:
% 176.17/27.18 | | | | | | | | | | | | | (18512) all_61_12 = all_28_1
% 176.17/27.18 | | | | | | | | | | | | |
% 176.17/27.18 | | | | | | | | | | | | | SIMP: (18512) implies:
% 176.17/27.18 | | | | | | | | | | | | | (18513) all_61_12 = all_28_1
% 176.17/27.18 | | | | | | | | | | | | |
% 176.17/27.18 | | | | | | | | | | | | | COMBINE_EQS: (18503), (18504) imply:
% 176.17/27.18 | | | | | | | | | | | | | (18514) all_61_3 = all_28_1
% 176.17/27.18 | | | | | | | | | | | | |
% 176.17/27.18 | | | | | | | | | | | | | SIMP: (18514) implies:
% 176.17/27.18 | | | | | | | | | | | | | (18515) all_61_3 = all_28_1
% 176.17/27.18 | | | | | | | | | | | | |
% 176.17/27.18 | | | | | | | | | | | | | COMBINE_EQS: (491), (18513) imply:
% 176.17/27.18 | | | | | | | | | | | | | (18516) all_63_3 = all_28_1
% 176.17/27.18 | | | | | | | | | | | | |
% 176.17/27.18 | | | | | | | | | | | | | REDUCE: (207), (18515) imply:
% 176.17/27.18 | | | | | | | | | | | | | (18517) ~ (all_61_7 = all_28_1)
% 176.17/27.18 | | | | | | | | | | | | |
% 176.17/27.18 | | | | | | | | | | | | | SIMP: (18517) implies:
% 176.17/27.18 | | | | | | | | | | | | | (18518) ~ (all_61_7 = all_28_1)
% 176.17/27.18 | | | | | | | | | | | | |
% 176.17/27.18 | | | | | | | | | | | | | REDUCE: (206), (18515) imply:
% 176.17/27.18 | | | | | | | | | | | | | (18519) ~ (all_61_11 = all_28_1)
% 176.17/27.18 | | | | | | | | | | | | |
% 176.17/27.18 | | | | | | | | | | | | | SIMP: (18519) implies:
% 176.17/27.18 | | | | | | | | | | | | | (18520) ~ (all_61_11 = all_28_1)
% 176.17/27.18 | | | | | | | | | | | | |
% 176.17/27.18 | | | | | | | | | | | | | REDUCE: (187), (18513) imply:
% 176.17/27.18 | | | | | | | | | | | | | (18521) ~ (all_61_8 = all_28_1)
% 176.17/27.18 | | | | | | | | | | | | |
% 176.17/27.18 | | | | | | | | | | | | | REDUCE: (682), (18515) imply:
% 176.17/27.18 | | | | | | | | | | | | | (18522) op(all_28_1, e3) = all_65_49
% 176.17/27.18 | | | | | | | | | | | | |
% 176.17/27.18 | | | | | | | | | | | | | REDUCE: (646), (18513) imply:
% 176.17/27.18 | | | | | | | | | | | | | (18523) op(all_28_1, e3) = all_65_12
% 176.17/27.18 | | | | | | | | | | | | |
% 176.17/27.18 | | | | | | | | | | | | | REDUCE: (665), (18506) imply:
% 176.17/27.18 | | | | | | | | | | | | | (18524) op(all_61_13, e0) = all_6_1
% 176.17/27.18 | | | | | | | | | | | | |
% 176.17/27.18 | | | | | | | | | | | | | REDUCE: (681), (18505) imply:
% 176.17/27.18 | | | | | | | | | | | | | (18525) op(all_61_14, e0) = all_61_2
% 176.17/27.18 | | | | | | | | | | | | |
% 176.17/27.18 | | | | | | | | | | | | | REDUCE: (710), (18515) imply:
% 176.17/27.18 | | | | | | | | | | | | | (18526) op(e3, all_28_1) = all_65_12
% 176.17/27.18 | | | | | | | | | | | | |
% 176.17/27.18 | | | | | | | | | | | | | REDUCE: (701), (18513) imply:
% 176.17/27.18 | | | | | | | | | | | | | (18527) op(e3, all_28_1) = all_65_3
% 176.17/27.18 | | | | | | | | | | | | |
% 176.17/27.18 | | | | | | | | | | | | | REDUCE: (763), (18508) imply:
% 176.17/27.18 | | | | | | | | | | | | | (18528) op(e0, all_61_11) = all_61_8
% 176.17/27.18 | | | | | | | | | | | | |
% 176.17/27.18 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_12, all_65_3,
% 176.17/27.18 | | | | | | | | | | | | | all_28_1, e3, simplifying with (18526), (18527)
% 176.17/27.18 | | | | | | | | | | | | | gives:
% 176.17/27.18 | | | | | | | | | | | | | (18529) all_65_3 = all_65_12
% 176.17/27.18 | | | | | | | | | | | | |
% 176.17/27.18 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_49, all_65_12, e3,
% 176.17/27.18 | | | | | | | | | | | | | all_28_1, simplifying with (18522), (18523) gives:
% 176.17/27.18 | | | | | | | | | | | | | (18530) all_65_12 = all_65_49
% 176.17/27.18 | | | | | | | | | | | | |
% 176.17/27.18 | | | | | | | | | | | | | COMBINE_EQS: (18529), (18530) imply:
% 176.17/27.18 | | | | | | | | | | | | | (18531) all_65_3 = all_65_49
% 176.17/27.18 | | | | | | | | | | | | |
% 176.17/27.18 | | | | | | | | | | | | | REDUCE: (637), (18531) imply:
% 176.17/27.18 | | | | | | | | | | | | | (18532) op(all_14_2, e0) = all_65_49
% 176.17/27.18 | | | | | | | | | | | | |
% 176.17/27.18 | | | | | | | | | | | | | BETA: splitting (101) gives:
% 176.17/27.18 | | | | | | | | | | | | |
% 176.17/27.18 | | | | | | | | | | | | | Case 1:
% 176.17/27.18 | | | | | | | | | | | | | |
% 176.17/27.18 | | | | | | | | | | | | | | (18533) ~ (all_36_2 = e0)
% 176.17/27.18 | | | | | | | | | | | | | |
% 176.17/27.18 | | | | | | | | | | | | | | REDUCE: (557), (18533) imply:
% 176.17/27.18 | | | | | | | | | | | | | | (18534) ~ (all_14_2 = e0)
% 176.17/27.18 | | | | | | | | | | | | | |
% 176.17/27.18 | | | | | | | | | | | | | | BETA: splitting (107) gives:
% 176.17/27.18 | | | | | | | | | | | | | |
% 176.17/27.18 | | | | | | | | | | | | | | Case 1:
% 176.17/27.18 | | | | | | | | | | | | | | |
% 176.17/27.18 | | | | | | | | | | | | | | | (18535) ~ (all_40_2 = e1)
% 176.17/27.18 | | | | | | | | | | | | | | |
% 176.17/27.18 | | | | | | | | | | | | | | | REDUCE: (553), (18535) imply:
% 176.17/27.18 | | | | | | | | | | | | | | | (18536) ~ (all_14_2 = e1)
% 176.17/27.18 | | | | | | | | | | | | | | |
% 176.17/27.18 | | | | | | | | | | | | | | | REF_CLOSE: (10), (50), (67), (151), (159), (162), (165),
% 176.17/27.18 | | | | | | | | | | | | | | | (166), (167), (168), (226), (230), (234), (235),
% 176.17/27.18 | | | | | | | | | | | | | | | (236), (237), (271), (475), (478), (481), (484),
% 176.17/27.18 | | | | | | | | | | | | | | | (534), (588), (599), (601), (603), (635), (636),
% 176.17/27.18 | | | | | | | | | | | | | | | (637), (638), (642), (646), (650), (666), (682),
% 176.17/27.18 | | | | | | | | | | | | | | | (698), (714), (715), (731), (732), (748), (749),
% 176.17/27.18 | | | | | | | | | | | | | | | (765), (18011), (18046), (18534), (18536) are
% 176.17/27.18 | | | | | | | | | | | | | | | inconsistent by sub-proof #502.
% 176.17/27.18 | | | | | | | | | | | | | | |
% 176.17/27.18 | | | | | | | | | | | | | | Case 2:
% 176.17/27.18 | | | | | | | | | | | | | | |
% 176.17/27.18 | | | | | | | | | | | | | | | (18537) all_40_2 = e1
% 176.17/27.18 | | | | | | | | | | | | | | | (18538) op(e3, e1) = all_40_1 & $i(all_40_1) & ( ~
% 176.17/27.18 | | | | | | | | | | | | | | | (all_40_1 = e0) | ( ~ (all_40_0 = e2) & op(e0,
% 176.17/27.18 | | | | | | | | | | | | | | | e3) = all_40_0 & $i(all_40_0)))
% 176.17/27.18 | | | | | | | | | | | | | | |
% 176.17/27.18 | | | | | | | | | | | | | | | ALPHA: (18538) implies:
% 176.17/27.18 | | | | | | | | | | | | | | | (18539) op(e3, e1) = all_40_1
% 176.17/27.18 | | | | | | | | | | | | | | |
% 176.17/27.18 | | | | | | | | | | | | | | | COMBINE_EQS: (553), (18537) imply:
% 176.17/27.18 | | | | | | | | | | | | | | | (18540) all_14_2 = e1
% 176.17/27.18 | | | | | | | | | | | | | | |
% 176.17/27.18 | | | | | | | | | | | | | | | SIMP: (18540) implies:
% 176.17/27.18 | | | | | | | | | | | | | | | (18541) all_14_2 = e1
% 176.17/27.18 | | | | | | | | | | | | | | |
% 176.17/27.18 | | | | | | | | | | | | | | | COMBINE_EQS: (466), (18541) imply:
% 176.17/27.18 | | | | | | | | | | | | | | | (18542) all_48_2 = e1
% 176.17/27.18 | | | | | | | | | | | | | | |
% 176.17/27.18 | | | | | | | | | | | | | | | REDUCE: (634), (18541) imply:
% 176.17/27.18 | | | | | | | | | | | | | | | (18543) op(e1, e3) = all_65_0
% 176.17/27.18 | | | | | | | | | | | | | | |
% 176.17/27.18 | | | | | | | | | | | | | | | REDUCE: (17789), (18541) imply:
% 176.17/27.18 | | | | | | | | | | | | | | | (18544) op(e1, e2) = all_65_16
% 176.17/27.18 | | | | | | | | | | | | | | |
% 176.17/27.18 | | | | | | | | | | | | | | | REDUCE: (636), (18541) imply:
% 176.17/27.18 | | | | | | | | | | | | | | | (18545) op(e1, e1) = all_65_2
% 176.17/27.18 | | | | | | | | | | | | | | |
% 176.17/27.18 | | | | | | | | | | | | | | | REDUCE: (18532), (18541) imply:
% 176.17/27.18 | | | | | | | | | | | | | | | (18546) op(e1, e0) = all_65_49
% 176.17/27.18 | | | | | | | | | | | | | | |
% 176.17/27.18 | | | | | | | | | | | | | | | REDUCE: (698), (18541) imply:
% 176.17/27.18 | | | | | | | | | | | | | | | (18547) op(e3, e1) = all_65_0
% 176.17/27.18 | | | | | | | | | | | | | | |
% 176.17/27.18 | | | | | | | | | | | | | | | REDUCE: (715), (18541) imply:
% 176.17/27.18 | | | | | | | | | | | | | | | (18548) op(e2, e1) = all_65_16
% 176.17/27.18 | | | | | | | | | | | | | | |
% 176.17/27.18 | | | | | | | | | | | | | | | REDUCE: (732), (18541) imply:
% 176.17/27.18 | | | | | | | | | | | | | | | (18549) op(e1, e1) = all_65_32
% 176.17/27.18 | | | | | | | | | | | | | | |
% 176.17/27.18 | | | | | | | | | | | | | | | REDUCE: (749), (18541) imply:
% 176.17/27.18 | | | | | | | | | | | | | | | (18550) op(e0, e1) = all_65_49
% 176.17/27.18 | | | | | | | | | | | | | | |
% 176.17/27.18 | | | | | | | | | | | | | | | BETA: splitting (119) gives:
% 176.17/27.18 | | | | | | | | | | | | | | |
% 176.17/27.18 | | | | | | | | | | | | | | | Case 1:
% 176.17/27.18 | | | | | | | | | | | | | | | |
% 176.17/27.18 | | | | | | | | | | | | | | | | (18551) ~ (all_48_2 = e1)
% 176.17/27.18 | | | | | | | | | | | | | | | |
% 176.17/27.18 | | | | | | | | | | | | | | | | REDUCE: (18542), (18551) imply:
% 176.17/27.18 | | | | | | | | | | | | | | | | (18552) $false
% 176.17/27.18 | | | | | | | | | | | | | | | |
% 176.17/27.18 | | | | | | | | | | | | | | | | CLOSE: (18552) is inconsistent.
% 176.17/27.18 | | | | | | | | | | | | | | | |
% 176.17/27.18 | | | | | | | | | | | | | | | Case 2:
% 176.17/27.18 | | | | | | | | | | | | | | | |
% 176.17/27.18 | | | | | | | | | | | | | | | | (18553) op(e3, e1) = all_48_1 & $i(all_48_1) & ( ~
% 176.17/27.18 | | | | | | | | | | | | | | | | (all_48_1 = e2) | ( ~ (all_48_0 = e0) & op(e2,
% 176.17/27.18 | | | | | | | | | | | | | | | | e3) = all_48_0 & $i(all_48_0)))
% 176.17/27.18 | | | | | | | | | | | | | | | |
% 176.17/27.18 | | | | | | | | | | | | | | | | ALPHA: (18553) implies:
% 176.17/27.18 | | | | | | | | | | | | | | | | (18554) op(e3, e1) = all_48_1
% 176.17/27.18 | | | | | | | | | | | | | | | |
% 176.17/27.18 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_11, all_65_49, e1,
% 176.17/27.18 | | | | | | | | | | | | | | | | e0, simplifying with (224), (18550) gives:
% 176.17/27.18 | | | | | | | | | | | | | | | | (18555) all_65_49 = all_61_11
% 176.17/27.18 | | | | | | | | | | | | | | | |
% 176.17/27.18 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_14, all_65_49, e0,
% 176.17/27.18 | | | | | | | | | | | | | | | | e1, simplifying with (227), (18546) gives:
% 176.17/27.18 | | | | | | | | | | | | | | | | (18556) all_65_49 = all_61_14
% 176.17/27.18 | | | | | | | | | | | | | | | |
% 176.17/27.18 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e1, all_65_2, e1, e1,
% 176.17/27.18 | | | | | | | | | | | | | | | | simplifying with (18034), (18545) gives:
% 176.17/27.18 | | | | | | | | | | | | | | | | (18557) all_65_2 = e1
% 176.17/27.18 | | | | | | | | | | | | | | | |
% 176.17/27.18 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_32, all_65_2, e1,
% 176.17/27.18 | | | | | | | | | | | | | | | | e1, simplifying with (18545), (18549) gives:
% 176.17/27.18 | | | | | | | | | | | | | | | | (18558) all_65_2 = all_65_32
% 176.17/27.18 | | | | | | | | | | | | | | | |
% 176.17/27.18 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_6, all_65_16, e2,
% 176.17/27.18 | | | | | | | | | | | | | | | | e1, simplifying with (229), (18544) gives:
% 176.17/27.18 | | | | | | | | | | | | | | | | (18559) all_65_16 = all_61_6
% 176.17/27.18 | | | | | | | | | | | | | | | |
% 176.17/27.18 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_2, all_65_0, e3,
% 176.17/27.18 | | | | | | | | | | | | | | | | e1, simplifying with (230), (18543) gives:
% 176.17/27.18 | | | | | | | | | | | | | | | | (18560) all_65_0 = all_61_2
% 176.17/27.18 | | | | | | | | | | | | | | | |
% 176.17/27.18 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_9, all_65_16, e1,
% 176.17/27.18 | | | | | | | | | | | | | | | | e2, simplifying with (232), (18548) gives:
% 176.17/27.18 | | | | | | | | | | | | | | | | (18561) all_65_16 = all_61_9
% 176.17/27.18 | | | | | | | | | | | | | | | |
% 176.17/27.18 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_8, all_48_1, e1,
% 176.17/27.18 | | | | | | | | | | | | | | | | e3, simplifying with (236), (18554) gives:
% 176.17/27.18 | | | | | | | | | | | | | | | | (18562) all_61_8 = all_48_1
% 176.17/27.18 | | | | | | | | | | | | | | | |
% 176.17/27.18 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_8, all_65_0, e1,
% 176.17/27.18 | | | | | | | | | | | | | | | | e3, simplifying with (236), (18547) gives:
% 176.17/27.18 | | | | | | | | | | | | | | | | (18563) all_65_0 = all_61_8
% 176.17/27.18 | | | | | | | | | | | | | | | |
% 176.17/27.18 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_40_1, all_65_0, e1,
% 176.17/27.18 | | | | | | | | | | | | | | | | e3, simplifying with (18539), (18547) gives:
% 176.17/27.18 | | | | | | | | | | | | | | | | (18564) all_65_0 = all_40_1
% 176.17/27.18 | | | | | | | | | | | | | | | |
% 176.17/27.18 | | | | | | | | | | | | | | | | COMBINE_EQS: (18560), (18564) imply:
% 176.17/27.18 | | | | | | | | | | | | | | | | (18565) all_61_2 = all_40_1
% 176.17/27.18 | | | | | | | | | | | | | | | |
% 176.17/27.18 | | | | | | | | | | | | | | | | SIMP: (18565) implies:
% 176.17/27.18 | | | | | | | | | | | | | | | | (18566) all_61_2 = all_40_1
% 176.17/27.18 | | | | | | | | | | | | | | | |
% 176.17/27.18 | | | | | | | | | | | | | | | | COMBINE_EQS: (18563), (18564) imply:
% 176.17/27.18 | | | | | | | | | | | | | | | | (18567) all_61_8 = all_40_1
% 176.17/27.18 | | | | | | | | | | | | | | | |
% 176.17/27.18 | | | | | | | | | | | | | | | | SIMP: (18567) implies:
% 176.17/27.18 | | | | | | | | | | | | | | | | (18568) all_61_8 = all_40_1
% 176.17/27.18 | | | | | | | | | | | | | | | |
% 176.17/27.18 | | | | | | | | | | | | | | | | COMBINE_EQS: (18557), (18558) imply:
% 176.17/27.18 | | | | | | | | | | | | | | | | (18569) all_65_32 = e1
% 176.17/27.18 | | | | | | | | | | | | | | | |
% 176.17/27.18 | | | | | | | | | | | | | | | | COMBINE_EQS: (18559), (18561) imply:
% 176.17/27.18 | | | | | | | | | | | | | | | | (18570) all_61_6 = all_61_9
% 176.17/27.18 | | | | | | | | | | | | | | | |
% 176.17/27.18 | | | | | | | | | | | | | | | | COMBINE_EQS: (18555), (18556) imply:
% 176.17/27.18 | | | | | | | | | | | | | | | | (18571) all_61_11 = all_61_14
% 176.17/27.18 | | | | | | | | | | | | | | | |
% 176.17/27.18 | | | | | | | | | | | | | | | | SIMP: (18571) implies:
% 176.17/27.18 | | | | | | | | | | | | | | | | (18572) all_61_11 = all_61_14
% 176.17/27.18 | | | | | | | | | | | | | | | |
% 176.17/27.18 | | | | | | | | | | | | | | | | COMBINE_EQS: (18562), (18568) imply:
% 176.17/27.18 | | | | | | | | | | | | | | | | (18573) all_48_1 = all_40_1
% 176.17/27.18 | | | | | | | | | | | | | | | |
% 176.17/27.18 | | | | | | | | | | | | | | | | SIMP: (18573) implies:
% 176.17/27.18 | | | | | | | | | | | | | | | | (18574) all_48_1 = all_40_1
% 176.17/27.18 | | | | | | | | | | | | | | | |
% 176.17/27.18 | | | | | | | | | | | | | | | | REDUCE: (195), (18570) imply:
% 176.17/27.18 | | | | | | | | | | | | | | | | (18575) ~ (all_61_7 = all_61_9)
% 176.17/27.18 | | | | | | | | | | | | | | | |
% 176.17/27.18 | | | | | | | | | | | | | | | | SIMP: (18575) implies:
% 176.17/27.18 | | | | | | | | | | | | | | | | (18576) ~ (all_61_7 = all_61_9)
% 176.17/27.18 | | | | | | | | | | | | | | | |
% 176.17/27.18 | | | | | | | | | | | | | | | | REDUCE: (192), (18572) imply:
% 176.17/27.18 | | | | | | | | | | | | | | | | (18577) ~ (all_61_7 = all_61_14)
% 176.17/27.18 | | | | | | | | | | | | | | | |
% 176.17/27.18 | | | | | | | | | | | | | | | | REDUCE: (18521), (18568) imply:
% 176.17/27.18 | | | | | | | | | | | | | | | | (18578) ~ (all_40_1 = all_28_1)
% 176.17/27.18 | | | | | | | | | | | | | | | |
% 176.17/27.18 | | | | | | | | | | | | | | | | REDUCE: (18520), (18572) imply:
% 176.17/27.18 | | | | | | | | | | | | | | | | (18579) ~ (all_61_14 = all_28_1)
% 176.17/27.18 | | | | | | | | | | | | | | | |
% 176.17/27.18 | | | | | | | | | | | | | | | | REDUCE: (666), (18566), (18569) imply:
% 176.17/27.18 | | | | | | | | | | | | | | | | (18580) op(all_40_1, e3) = e1
% 176.17/27.18 | | | | | | | | | | | | | | | |
% 176.17/27.18 | | | | | | | | | | | | | | | | REDUCE: (672), (18570) imply:
% 176.17/27.18 | | | | | | | | | | | | | | | | (18581) op(all_61_9, e1) = all_65_38
% 176.17/27.18 | | | | | | | | | | | | | | | |
% 176.17/27.18 | | | | | | | | | | | | | | | | REDUCE: (673), (18570) imply:
% 176.17/27.18 | | | | | | | | | | | | | | | | (18582) op(all_61_9, e0) = all_65_39
% 176.17/27.18 | | | | | | | | | | | | | | | |
% 176.17/27.18 | | | | | | | | | | | | | | | | REDUCE: (642), (18568) imply:
% 176.17/27.18 | | | | | | | | | | | | | | | | (18583) op(all_40_1, e3) = all_65_8
% 176.17/27.18 | | | | | | | | | | | | | | | |
% 176.17/27.18 | | | | | | | | | | | | | | | | REDUCE: (691), (18572) imply:
% 176.17/27.18 | | | | | | | | | | | | | | | | (18584) op(all_61_14, e2) = all_65_67
% 176.17/27.18 | | | | | | | | | | | | | | | |
% 176.17/27.18 | | | | | | | | | | | | | | | | REDUCE: (729), (18572) imply:
% 176.17/27.18 | | | | | | | | | | | | | | | | (18585) op(e2, all_61_14) = all_65_30
% 176.17/27.18 | | | | | | | | | | | | | | | |
% 176.17/27.18 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_27, all_65_30,
% 176.17/27.18 | | | | | | | | | | | | | | | | all_61_14, e2, simplifying with (726), (18585)
% 176.17/27.18 | | | | | | | | | | | | | | | | gives:
% 176.17/27.18 | | | | | | | | | | | | | | | | (18586) all_65_27 = all_65_30
% 176.17/27.18 | | | | | | | | | | | | | | | |
% 176.17/27.18 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e1, all_65_8, e3,
% 176.17/27.18 | | | | | | | | | | | | | | | | all_40_1, simplifying with (18580), (18583) gives:
% 176.17/27.18 | | | | | | | | | | | | | | | | (18587) all_65_8 = e1
% 176.17/27.18 | | | | | | | | | | | | | | | |
% 176.17/27.18 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_45, all_65_67, e2,
% 176.17/27.18 | | | | | | | | | | | | | | | | all_61_14, simplifying with (679), (18584) gives:
% 176.17/27.18 | | | | | | | | | | | | | | | | (18588) all_65_45 = all_65_67
% 176.17/27.18 | | | | | | | | | | | | | | | |
% 176.17/27.18 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_27, all_65_39, e0,
% 176.17/27.18 | | | | | | | | | | | | | | | | all_61_9, simplifying with (661), (18582) gives:
% 176.17/27.18 | | | | | | | | | | | | | | | | (18589) all_65_27 = all_65_39
% 176.17/27.18 | | | | | | | | | | | | | | | |
% 176.17/27.18 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_9, all_65_38, e1,
% 176.17/27.18 | | | | | | | | | | | | | | | | all_61_9, simplifying with (18044), (18581) gives:
% 176.17/27.18 | | | | | | | | | | | | | | | | (18590) all_65_38 = all_61_9
% 176.17/27.18 | | | | | | | | | | | | | | | |
% 176.17/27.18 | | | | | | | | | | | | | | | | COMBINE_EQS: (18586), (18589) imply:
% 176.17/27.18 | | | | | | | | | | | | | | | | (18591) all_65_30 = all_65_39
% 176.17/27.18 | | | | | | | | | | | | | | | |
% 176.17/27.18 | | | | | | | | | | | | | | | | SIMP: (18591) implies:
% 176.17/27.18 | | | | | | | | | | | | | | | | (18592) all_65_30 = all_65_39
% 176.17/27.18 | | | | | | | | | | | | | | | |
% 176.17/27.18 | | | | | | | | | | | | | | | | REDUCE: (18585), (18592) imply:
% 176.17/27.18 | | | | | | | | | | | | | | | | (18593) op(e2, all_61_14) = all_65_39
% 176.17/27.18 | | | | | | | | | | | | | | | |
% 176.17/27.18 | | | | | | | | | | | | | | | | REDUCE: (745), (18588) imply:
% 176.17/27.18 | | | | | | | | | | | | | | | | (18594) op(e1, all_61_7) = all_65_67
% 176.17/27.18 | | | | | | | | | | | | | | | |
% 176.17/27.18 | | | | | | | | | | | | | | | | BETA: splitting (157) gives:
% 176.17/27.18 | | | | | | | | | | | | | | | |
% 176.17/27.18 | | | | | | | | | | | | | | | | Case 1:
% 176.17/27.18 | | | | | | | | | | | | | | | | |
% 176.17/27.18 | | | | | | | | | | | | | | | | | (18595) ~ (all_58_3 = e1)
% 176.17/27.18 | | | | | | | | | | | | | | | | |
% 176.17/27.18 | | | | | | | | | | | | | | | | | REDUCE: (475), (18595) imply:
% 176.17/27.18 | | | | | | | | | | | | | | | | | (18596) ~ (all_52_3 = e1)
% 176.17/27.18 | | | | | | | | | | | | | | | | |
% 176.17/27.18 | | | | | | | | | | | | | | | | | BETA: splitting (160) gives:
% 176.17/27.18 | | | | | | | | | | | | | | | | |
% 176.17/27.18 | | | | | | | | | | | | | | | | | Case 1:
% 176.17/27.18 | | | | | | | | | | | | | | | | | |
% 176.17/27.18 | | | | | | | | | | | | | | | | | | (18597) ~ (all_58_2 = e0)
% 176.17/27.18 | | | | | | | | | | | | | | | | | |
% 176.17/27.18 | | | | | | | | | | | | | | | | | | REDUCE: (478), (18597) imply:
% 176.17/27.18 | | | | | | | | | | | | | | | | | | (18598) ~ (all_52_2 = e0)
% 176.17/27.18 | | | | | | | | | | | | | | | | | |
% 176.17/27.18 | | | | | | | | | | | | | | | | | | BETA: splitting (161) gives:
% 176.17/27.18 | | | | | | | | | | | | | | | | | |
% 176.17/27.18 | | | | | | | | | | | | | | | | | | Case 1:
% 176.17/27.18 | | | | | | | | | | | | | | | | | | |
% 176.17/27.18 | | | | | | | | | | | | | | | | | | | (18599) ~ (all_58_2 = e2)
% 176.17/27.18 | | | | | | | | | | | | | | | | | | |
% 176.17/27.18 | | | | | | | | | | | | | | | | | | | REDUCE: (478), (18599) imply:
% 176.17/27.18 | | | | | | | | | | | | | | | | | | | (18600) ~ (all_52_2 = e2)
% 176.17/27.18 | | | | | | | | | | | | | | | | | | |
% 176.17/27.18 | | | | | | | | | | | | | | | | | | | BETA: splitting (167) gives:
% 176.17/27.18 | | | | | | | | | | | | | | | | | | |
% 176.17/27.18 | | | | | | | | | | | | | | | | | | | Case 1:
% 176.17/27.18 | | | | | | | | | | | | | | | | | | | |
% 176.17/27.18 | | | | | | | | | | | | | | | | | | | | (18601) ~ (all_58_0 = e1)
% 176.17/27.18 | | | | | | | | | | | | | | | | | | | |
% 176.17/27.18 | | | | | | | | | | | | | | | | | | | | REDUCE: (484), (18601) imply:
% 176.17/27.18 | | | | | | | | | | | | | | | | | | | | (18602) ~ (all_52_0 = e1)
% 176.17/27.18 | | | | | | | | | | | | | | | | | | | |
% 176.17/27.18 | | | | | | | | | | | | | | | | | | | | BETA: splitting (162) gives:
% 176.17/27.18 | | | | | | | | | | | | | | | | | | | |
% 176.17/27.18 | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.17/27.18 | | | | | | | | | | | | | | | | | | | | |
% 176.17/27.18 | | | | | | | | | | | | | | | | | | | | | (18603) ~ (all_58_2 = e3)
% 176.17/27.18 | | | | | | | | | | | | | | | | | | | | |
% 176.17/27.18 | | | | | | | | | | | | | | | | | | | | | REDUCE: (478), (18603) imply:
% 176.17/27.18 | | | | | | | | | | | | | | | | | | | | | (18604) ~ (all_52_2 = e3)
% 176.17/27.18 | | | | | | | | | | | | | | | | | | | | |
% 176.17/27.18 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (149) gives:
% 176.17/27.18 | | | | | | | | | | | | | | | | | | | | |
% 176.17/27.18 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.17/27.18 | | | | | | | | | | | | | | | | | | | | | |
% 176.17/27.18 | | | | | | | | | | | | | | | | | | | | | | (18605) all_56_2 = e3
% 176.17/27.18 | | | | | | | | | | | | | | | | | | | | | |
% 176.17/27.18 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (538), (18605) imply:
% 176.17/27.18 | | | | | | | | | | | | | | | | | | | | | | (18606) all_52_2 = e3
% 176.17/27.18 | | | | | | | | | | | | | | | | | | | | | |
% 176.17/27.18 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18604), (18606) imply:
% 176.17/27.18 | | | | | | | | | | | | | | | | | | | | | | (18607) $false
% 176.17/27.18 | | | | | | | | | | | | | | | | | | | | | |
% 176.17/27.18 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (18607) is inconsistent.
% 176.17/27.18 | | | | | | | | | | | | | | | | | | | | | |
% 176.17/27.18 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.17/27.18 | | | | | | | | | | | | | | | | | | | | | |
% 176.17/27.18 | | | | | | | | | | | | | | | | | | | | | | (18608) all_56_2 = e2 | all_56_2 = e1 | all_56_2 = e0
% 176.17/27.18 | | | | | | | | | | | | | | | | | | | | | |
% 176.17/27.18 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18608) gives:
% 176.17/27.18 | | | | | | | | | | | | | | | | | | | | | |
% 176.17/27.18 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.17/27.18 | | | | | | | | | | | | | | | | | | | | | | |
% 176.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | (18609) all_56_2 = e2
% 176.17/27.18 | | | | | | | | | | | | | | | | | | | | | | |
% 176.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (538), (18609) imply:
% 176.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | (18610) all_52_2 = e2
% 176.17/27.18 | | | | | | | | | | | | | | | | | | | | | | |
% 176.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18600), (18610) imply:
% 176.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | (18611) $false
% 176.17/27.18 | | | | | | | | | | | | | | | | | | | | | | |
% 176.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (18611) is inconsistent.
% 176.17/27.18 | | | | | | | | | | | | | | | | | | | | | | |
% 176.17/27.18 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.17/27.18 | | | | | | | | | | | | | | | | | | | | | | |
% 176.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | (18612) all_56_2 = e1 | all_56_2 = e0
% 176.17/27.18 | | | | | | | | | | | | | | | | | | | | | | |
% 176.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18612) gives:
% 176.17/27.18 | | | | | | | | | | | | | | | | | | | | | | |
% 176.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | (18613) all_56_2 = e1
% 176.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (538), (18613) imply:
% 176.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | (18614) all_52_2 = e1
% 176.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (748), (18614) imply:
% 176.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | (18615) op(e1, e1) = unit
% 176.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e1, unit, e1, e1,
% 176.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (18034), (18615) gives:
% 176.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | (18616) unit = e1
% 176.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7), (18616) imply:
% 176.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | (18617) op(e1, e0) = e0
% 176.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6), (18616) imply:
% 176.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | (18618) op(e3, e1) = e3
% 176.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5), (18616) imply:
% 176.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | (18619) op(e2, e1) = e2
% 176.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_14, e0, e0, e1,
% 176.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (227), (18617) gives:
% 176.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | (18620) all_61_14 = e0
% 176.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_9, e2, e1, e2,
% 176.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (232), (18619) gives:
% 176.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | (18621) all_61_9 = e2
% 176.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_40_1, e3, e1, e3,
% 176.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (18539), (18618) gives:
% 176.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | (18622) all_40_1 = e3
% 176.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18576), (18621) imply:
% 176.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | (18623) ~ (all_61_7 = e2)
% 176.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18577), (18620) imply:
% 176.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | (18624) ~ (all_61_7 = e0)
% 176.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (184), (18621) imply:
% 176.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | (18625) ~ (all_61_13 = e2)
% 176.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (18625) implies:
% 176.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | (18626) ~ (all_61_13 = e2)
% 176.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (177), (18620) imply:
% 176.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | (18627) ~ (all_61_13 = e0)
% 176.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18579), (18620) imply:
% 176.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | (18628) ~ (all_28_1 = e0)
% 176.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (18628) implies:
% 176.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | (18629) ~ (all_28_1 = e0)
% 176.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18578), (18622) imply:
% 176.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | (18630) ~ (all_28_1 = e3)
% 176.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (18630) implies:
% 176.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | (18631) ~ (all_28_1 = e3)
% 176.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18593), (18620) imply:
% 176.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | (18632) op(e2, e0) = all_65_39
% 176.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (264) gives:
% 176.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | (18633) all_63_7 = e3
% 176.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (498), (18633) imply:
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | (18634) all_61_13 = e3
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17706), (18634) imply:
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | (18635) $false
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (18635) is inconsistent.
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | (18636) all_63_7 = e2 | all_63_7 = e1 | all_63_7 = e0
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (258) gives:
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | (18637) all_63_13 = e3
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (508), (18637) imply:
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | (18638) all_61_7 = e3
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17704), (18638) imply:
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | (18639) $false
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (18639) is inconsistent.
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | (18640) ~ (all_63_13 = e3)
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | (18641) all_63_13 = e2 | all_63_13 = e1 | all_63_13 = e0
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18492) gives:
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | (18642) ~ (all_28_1 = e2)
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (258), (268), (508), (17704), (18516), (18518),
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | (18623), (18624), (18629), (18631), (18642) are
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #429.
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | (18643) ~ (all_28_0 = e1) & op(e2, e0) = all_28_0 &
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_28_0)
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18643) implies:
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | (18644) ~ (all_28_0 = e1)
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | (18645) op(e2, e0) = all_28_0
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18641) gives:
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18646) all_63_13 = e2
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (508), (18646) imply:
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18647) all_61_7 = e2
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18623), (18647) imply:
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18648) $false
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (18648) is inconsistent.
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18649) all_63_13 = e1 | all_63_13 = e0
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18649) gives:
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18650) all_63_13 = e1
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (508), (18650) imply:
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18651) all_61_7 = e1
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18594), (18651) imply:
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18652) op(e1, e1) = all_65_67
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18636) gives:
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18653) all_63_7 = e2
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (498), (18653) imply:
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18654) all_61_13 = e2
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18626), (18654) imply:
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18655) $false
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (18655) is inconsistent.
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18656) all_63_7 = e1 | all_63_7 = e0
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18656) gives:
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18657) all_63_7 = e1
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (498), (18657) imply:
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18658) all_61_13 = e1
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (231), (18658) imply:
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18659) op(e2, e0) = e1
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (739), (18658) imply:
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18660) op(e1, e1) = all_65_39
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_67, all_65_39, e1,
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, simplifying with (18652), (18660) gives:
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18661) all_65_39 = all_65_67
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_28_0, all_65_39, e0,
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, simplifying with (18632), (18645) gives:
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18662) all_65_39 = all_28_0
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e1, all_65_39, e0, e2,
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (18632), (18659) gives:
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18663) all_65_39 = e1
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (18661), (18663) imply:
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18664) all_65_67 = e1
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (18661), (18662) imply:
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18665) all_65_67 = all_28_0
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (18664), (18665) imply:
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18666) all_28_0 = e1
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (18666) implies:
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18667) all_28_0 = e1
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18644), (18667) imply:
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18668) $false
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (18668) is inconsistent.
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18669) all_63_7 = e0
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (498), (18669) imply:
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18670) all_61_13 = e0
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18627), (18670) imply:
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18671) $false
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (18671) is inconsistent.
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18672) all_63_13 = e0
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (508), (18672) imply:
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18673) all_61_7 = e0
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18624), (18673) imply:
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18674) $false
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (18674) is inconsistent.
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | (18675) all_56_2 = e0
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (538), (18675) imply:
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | (18676) all_52_2 = e0
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18598), (18676) imply:
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | (18677) $false
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (18677) is inconsistent.
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | End of split
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | (18678) all_58_0 = e1
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (484), (18602), (18678) are inconsistent by
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | sub-proof #470.
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | End of split
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | Case 2:
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | (18679) all_58_2 = e3
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | (18680) all_58_0 = e1
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (50), (478), (484), (629), (714), (18539),
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | (18580), (18679), (18680) are inconsistent by
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | sub-proof #483.
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | End of split
% 176.17/27.19 | | | | | | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | | | | | Case 2:
% 176.17/27.19 | | | | | | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | (18681) all_58_1 = e1
% 176.17/27.19 | | | | | | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (50), (232), (481), (731), (18025), (18044),
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | (18681) are inconsistent by sub-proof #89.
% 176.17/27.19 | | | | | | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | | | | | End of split
% 176.17/27.19 | | | | | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | | | | Case 2:
% 176.17/27.19 | | | | | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | | | | | (18682) all_58_3 = e1
% 176.17/27.19 | | | | | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | | | | | REF_CLOSE: (475), (18596), (18682) are inconsistent by
% 176.17/27.19 | | | | | | | | | | | | | | | | | | sub-proof #460.
% 176.17/27.19 | | | | | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | | | | End of split
% 176.17/27.19 | | | | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | | | Case 2:
% 176.17/27.19 | | | | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | | | | (18683) all_58_3 = e1
% 176.17/27.19 | | | | | | | | | | | | | | | | | (18684) all_58_2 = e0
% 176.17/27.19 | | | | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | | | | COMBINE_EQS: (478), (18684) imply:
% 176.17/27.19 | | | | | | | | | | | | | | | | | (18685) all_52_2 = e0
% 176.17/27.19 | | | | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | | | | COMBINE_EQS: (475), (18683) imply:
% 176.17/27.19 | | | | | | | | | | | | | | | | | (18686) all_52_3 = e1
% 176.17/27.19 | | | | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (50), (224), (227), (680), (748), (765),
% 176.17/27.19 | | | | | | | | | | | | | | | | | (18027), (18045), (18685), (18686) are
% 176.17/27.19 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #495.
% 176.17/27.19 | | | | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | | | End of split
% 176.17/27.19 | | | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | | End of split
% 176.17/27.19 | | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | End of split
% 176.17/27.19 | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | Case 2:
% 176.17/27.19 | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | (18687) all_36_2 = e0
% 176.17/27.19 | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | COMBINE_EQS: (557), (18687) imply:
% 176.17/27.19 | | | | | | | | | | | | | | (18688) all_14_2 = e0
% 176.17/27.19 | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | REDUCE: (601), (18688) imply:
% 176.17/27.19 | | | | | | | | | | | | | | (18689) ~ (all_61_8 = e0)
% 176.17/27.19 | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | REDUCE: (17757), (18688) imply:
% 176.17/27.19 | | | | | | | | | | | | | | (18690) ~ (all_6_1 = e0)
% 176.17/27.19 | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | SIMP: (18690) implies:
% 176.17/27.19 | | | | | | | | | | | | | | (18691) ~ (all_6_1 = e0)
% 176.17/27.19 | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | REDUCE: (17789), (18688) imply:
% 176.17/27.19 | | | | | | | | | | | | | | (18692) op(e0, e2) = all_65_16
% 176.17/27.19 | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | REDUCE: (636), (18688) imply:
% 176.17/27.19 | | | | | | | | | | | | | | (18693) op(e0, e1) = all_65_2
% 176.17/27.19 | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | REDUCE: (715), (18688) imply:
% 176.17/27.19 | | | | | | | | | | | | | | (18694) op(e2, e0) = all_65_16
% 176.17/27.19 | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | REDUCE: (732), (18688) imply:
% 176.17/27.19 | | | | | | | | | | | | | | (18695) op(e1, e0) = all_65_32
% 176.17/27.19 | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | REDUCE: (749), (18688) imply:
% 176.17/27.19 | | | | | | | | | | | | | | (18696) op(e0, e0) = all_65_49
% 176.17/27.19 | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e3, all_65_49, e0, e0,
% 176.17/27.19 | | | | | | | | | | | | | | simplifying with (18502), (18696) gives:
% 176.17/27.19 | | | | | | | | | | | | | | (18697) all_65_49 = e3
% 176.17/27.19 | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_11, all_65_2, e1,
% 176.17/27.19 | | | | | | | | | | | | | | e0, simplifying with (224), (18693) gives:
% 176.17/27.19 | | | | | | | | | | | | | | (18698) all_65_2 = all_61_11
% 176.17/27.19 | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_7, all_65_16, e2,
% 176.17/27.19 | | | | | | | | | | | | | | e0, simplifying with (225), (18692) gives:
% 176.17/27.19 | | | | | | | | | | | | | | (18699) all_65_16 = all_61_7
% 176.17/27.19 | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_14, all_65_32, e0,
% 176.17/27.19 | | | | | | | | | | | | | | e1, simplifying with (227), (18695) gives:
% 176.17/27.19 | | | | | | | | | | | | | | (18700) all_65_32 = all_61_14
% 176.17/27.19 | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_13, all_65_16, e0,
% 176.17/27.19 | | | | | | | | | | | | | | e2, simplifying with (231), (18694) gives:
% 176.17/27.19 | | | | | | | | | | | | | | (18701) all_65_16 = all_61_13
% 176.17/27.19 | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | COMBINE_EQS: (18699), (18701) imply:
% 176.17/27.19 | | | | | | | | | | | | | | (18702) all_61_7 = all_61_13
% 176.17/27.19 | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | SIMP: (18702) implies:
% 176.17/27.19 | | | | | | | | | | | | | | (18703) all_61_7 = all_61_13
% 176.17/27.19 | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | REDUCE: (689), (18703) imply:
% 176.17/27.19 | | | | | | | | | | | | | | (18704) op(all_61_13, e0) = all_65_63
% 176.17/27.19 | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_6_1, all_65_63, e0,
% 176.17/27.19 | | | | | | | | | | | | | | all_61_13, simplifying with (18524), (18704)
% 176.17/27.19 | | | | | | | | | | | | | | gives:
% 176.17/27.19 | | | | | | | | | | | | | | (18705) all_65_63 = all_6_1
% 176.17/27.19 | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | BETA: splitting (157) gives:
% 176.17/27.19 | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | Case 1:
% 176.17/27.19 | | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | | (18706) ~ (all_58_3 = e1)
% 176.17/27.19 | | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | | REDUCE: (475), (18706) imply:
% 176.17/27.19 | | | | | | | | | | | | | | | (18707) ~ (all_52_3 = e1)
% 176.17/27.19 | | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | | BETA: splitting (160) gives:
% 176.17/27.19 | | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | | Case 1:
% 176.17/27.19 | | | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | | | (18708) ~ (all_58_2 = e0)
% 176.17/27.19 | | | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | | | REDUCE: (478), (18708) imply:
% 176.17/27.19 | | | | | | | | | | | | | | | | (18709) ~ (all_52_2 = e0)
% 176.17/27.19 | | | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | | | BETA: splitting (164) gives:
% 176.17/27.19 | | | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | | | Case 1:
% 176.17/27.19 | | | | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | | | | (18710) ~ (all_58_1 = e1)
% 176.17/27.19 | | | | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | | | | REDUCE: (481), (18710) imply:
% 176.17/27.19 | | | | | | | | | | | | | | | | | (18711) ~ (all_52_1 = e1)
% 176.17/27.19 | | | | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | | | | BETA: splitting (161) gives:
% 176.17/27.19 | | | | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | | | | Case 1:
% 176.17/27.19 | | | | | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | | | | | (18712) ~ (all_58_2 = e2)
% 176.17/27.19 | | | | | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | | | | | REDUCE: (478), (18712) imply:
% 176.17/27.19 | | | | | | | | | | | | | | | | | | (18713) ~ (all_52_2 = e2)
% 176.17/27.19 | | | | | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | | | | | BETA: splitting (167) gives:
% 176.17/27.19 | | | | | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | | | | | Case 1:
% 176.17/27.19 | | | | | | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | (18714) ~ (all_58_0 = e1)
% 176.17/27.19 | | | | | | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | REDUCE: (484), (18714) imply:
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | (18715) ~ (all_52_0 = e1)
% 176.17/27.19 | | | | | | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | BETA: splitting (162) gives:
% 176.17/27.19 | | | | | | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | Case 1:
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | (18716) ~ (all_58_2 = e3)
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | REDUCE: (478), (18716) imply:
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | (18717) ~ (all_52_2 = e3)
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | BETA: splitting (149) gives:
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | (18718) all_56_2 = e3
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (538), (18717), (18718) are inconsistent by
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | sub-proof #482.
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | (18719) all_56_2 = e2 | all_56_2 = e1 | all_56_2 = e0
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18719) gives:
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | (18720) all_56_2 = e2
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (538), (18713), (18720) are inconsistent by
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | sub-proof #481.
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | (18721) all_56_2 = e1 | all_56_2 = e0
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18721) gives:
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | (18722) all_56_2 = e1
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (538), (18722) imply:
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | (18723) all_52_2 = e1
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (18723) implies:
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | (18724) all_52_2 = e1
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (748), (18724) imply:
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | (18725) op(e1, e1) = unit
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e1, unit, e1, e1,
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (18034), (18725) gives:
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | (18726) unit = e1
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7), (18726) imply:
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | (18727) op(e1, e0) = e0
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6), (18726) imply:
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | (18728) op(e3, e1) = e3
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5), (18726) imply:
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | (18729) op(e2, e1) = e2
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_14, e0, e0, e1,
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (227), (18727) gives:
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | (18730) all_61_14 = e0
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_9, e2, e1, e2,
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (232), (18729) gives:
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | (18731) all_61_9 = e2
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_8, e3, e1, e3,
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (236), (18728) gives:
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | (18732) all_61_8 = e3
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17753), (18732) imply:
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | (18733) ~ (all_6_1 = e3)
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (184), (18731) imply:
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | (18734) ~ (all_61_13 = e2)
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (18734) implies:
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | (18735) ~ (all_61_13 = e2)
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17745), (18731) imply:
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | (18736) ~ (all_6_1 = e2)
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (18736) implies:
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | (18737) ~ (all_6_1 = e2)
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (177), (18730) imply:
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | (18738) ~ (all_61_13 = e0)
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (267) gives:
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | (18739) all_63_4 = e3
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (17738), (18739) imply:
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | (18740) all_6_1 = e3
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17758), (18740) imply:
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | (18741) $false
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (18741) is inconsistent.
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | (18742) all_63_4 = e2 | all_63_4 = e1 | all_63_4 = e0
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18742) gives:
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | (18743) all_63_4 = e2
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (17738), (18743) imply:
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | (18744) all_6_1 = e2
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18737), (18744) imply:
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | (18745) $false
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (18745) is inconsistent.
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | (18746) all_63_4 = e1 | all_63_4 = e0
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18746) gives:
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | (18747) all_63_4 = e1
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (17738), (18747) imply:
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | (18748) all_6_1 = e1
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17747), (18748) imply:
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | (18749) ~ (all_61_13 = e1)
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (264), (498), (17706), (18735), (18738), (18749)
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #473.
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | (18750) all_63_4 = e0
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (17738), (18750) imply:
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | (18751) all_6_1 = e0
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18691), (18751) imply:
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | (18752) $false
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (18752) is inconsistent.
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | (18753) all_56_2 = e0
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (538), (18709), (18753) are inconsistent by
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #480.
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | | End of split
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | End of split
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | Case 2:
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | (18754) all_58_0 = e1
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (484), (18715), (18754) are inconsistent by
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | | sub-proof #470.
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | End of split
% 176.17/27.19 | | | | | | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | | | | | Case 2:
% 176.17/27.19 | | | | | | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | (18755) all_58_2 = e3
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | (18756) all_58_0 = e1
% 176.17/27.19 | | | | | | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (484), (18756) imply:
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | (18757) all_52_0 = e1
% 176.17/27.19 | | | | | | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | SIMP: (18757) implies:
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | (18758) all_52_0 = e1
% 176.17/27.19 | | | | | | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (478), (18755) imply:
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | (18759) all_52_2 = e3
% 176.17/27.19 | | | | | | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | SIMP: (18759) implies:
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | (18760) all_52_2 = e3
% 176.17/27.19 | | | | | | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (50), (148), (158), (163), (231), (475),
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | (481), (539), (630), (633), (731), (765), (18011),
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | (18502), (18524), (18691), (18758), (18760) are
% 176.17/27.19 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #80.
% 176.17/27.19 | | | | | | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | | | | | End of split
% 176.17/27.19 | | | | | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | | | | Case 2:
% 176.17/27.19 | | | | | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | | | | | (18761) all_58_1 = e1
% 176.17/27.19 | | | | | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | | | | | REF_CLOSE: (481), (18711), (18761) are inconsistent by
% 176.17/27.19 | | | | | | | | | | | | | | | | | | sub-proof #424.
% 176.17/27.19 | | | | | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | | | | End of split
% 176.17/27.19 | | | | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | | | Case 2:
% 176.17/27.19 | | | | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | | | | (18762) all_58_1 = e1
% 176.17/27.19 | | | | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (50), (232), (481), (731), (18025), (18044),
% 176.17/27.19 | | | | | | | | | | | | | | | | | (18762) are inconsistent by sub-proof #89.
% 176.17/27.19 | | | | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | | | End of split
% 176.17/27.19 | | | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | | Case 2:
% 176.17/27.19 | | | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | | | (18763) all_58_3 = e1
% 176.17/27.19 | | | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | | | REF_CLOSE: (475), (18707), (18763) are inconsistent by
% 176.17/27.19 | | | | | | | | | | | | | | | | sub-proof #460.
% 176.17/27.19 | | | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | | End of split
% 176.17/27.19 | | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | Case 2:
% 176.17/27.19 | | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | | (18764) all_58_3 = e1
% 176.17/27.19 | | | | | | | | | | | | | | | (18765) all_58_2 = e0
% 176.17/27.19 | | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | | REF_CLOSE: (7), (50), (224), (227), (475), (478), (693),
% 176.17/27.19 | | | | | | | | | | | | | | | (748), (760), (765), (18525), (18528), (18689),
% 176.17/27.19 | | | | | | | | | | | | | | | (18764), (18765) are inconsistent by sub-proof
% 176.17/27.19 | | | | | | | | | | | | | | | #425.
% 176.17/27.19 | | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | | End of split
% 176.17/27.19 | | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | | End of split
% 176.17/27.19 | | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | End of split
% 176.17/27.19 | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | Case 2:
% 176.17/27.19 | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | (18766) all_20_2 = e2
% 176.17/27.19 | | | | | | | | | | | | (18767) op(e0, e2) = all_20_1 & $i(all_20_1) & ( ~
% 176.17/27.19 | | | | | | | | | | | | (all_20_1 = e1) | ( ~ (all_20_0 = e3) & op(e1,
% 176.17/27.19 | | | | | | | | | | | | e0) = all_20_0 & $i(all_20_0)))
% 176.17/27.19 | | | | | | | | | | | |
% 176.17/27.19 | | | | | | | | | | | | ALPHA: (18767) implies:
% 176.23/27.19 | | | | | | | | | | | | (18768) op(e0, e2) = all_20_1
% 176.23/27.19 | | | | | | | | | | | |
% 176.23/27.19 | | | | | | | | | | | | REDUCE: (695), (18766) imply:
% 176.23/27.19 | | | | | | | | | | | | (18769) op(e2, e2) = all_65_75
% 176.23/27.19 | | | | | | | | | | | |
% 176.23/27.19 | | | | | | | | | | | | REDUCE: (696), (18766) imply:
% 176.23/27.19 | | | | | | | | | | | | (18770) op(e2, e1) = all_65_77
% 176.23/27.19 | | | | | | | | | | | |
% 176.23/27.19 | | | | | | | | | | | | REDUCE: (697), (18766) imply:
% 176.23/27.19 | | | | | | | | | | | | (18771) op(e2, e0) = all_65_78
% 176.23/27.19 | | | | | | | | | | | |
% 176.23/27.19 | | | | | | | | | | | | REDUCE: (713), (18766) imply:
% 176.23/27.19 | | | | | | | | | | | | (18772) op(e3, e2) = all_65_15
% 176.23/27.19 | | | | | | | | | | | |
% 176.23/27.19 | | | | | | | | | | | | REDUCE: (730), (18766) imply:
% 176.23/27.19 | | | | | | | | | | | | (18773) op(e2, e2) = all_65_31
% 176.23/27.19 | | | | | | | | | | | |
% 176.23/27.19 | | | | | | | | | | | | REDUCE: (747), (18766) imply:
% 176.23/27.20 | | | | | | | | | | | | (18774) op(e1, e2) = all_65_47
% 176.23/27.20 | | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | | REDUCE: (764), (18766) imply:
% 176.23/27.20 | | | | | | | | | | | | (18775) op(e0, e2) = all_65_78
% 176.23/27.20 | | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_7, all_20_1, e2,
% 176.23/27.20 | | | | | | | | | | | | e0, simplifying with (225), (18768) gives:
% 176.23/27.20 | | | | | | | | | | | | (18776) all_61_7 = all_20_1
% 176.23/27.20 | | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_7, all_65_78, e2,
% 176.23/27.20 | | | | | | | | | | | | e0, simplifying with (225), (18775) gives:
% 176.23/27.20 | | | | | | | | | | | | (18777) all_65_78 = all_61_7
% 176.23/27.20 | | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_6, all_65_47, e2,
% 176.23/27.20 | | | | | | | | | | | | e1, simplifying with (229), (18774) gives:
% 176.23/27.20 | | | | | | | | | | | | (18778) all_65_47 = all_61_6
% 176.23/27.20 | | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_13, all_65_78, e0,
% 176.23/27.20 | | | | | | | | | | | | e2, simplifying with (231), (18771) gives:
% 176.23/27.20 | | | | | | | | | | | | (18779) all_65_78 = all_61_13
% 176.23/27.20 | | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_9, all_65_77, e1,
% 176.23/27.20 | | | | | | | | | | | | e2, simplifying with (232), (18770) gives:
% 176.23/27.20 | | | | | | | | | | | | (18780) all_65_77 = all_61_9
% 176.23/27.20 | | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | | GROUND_INST: instantiating (50) with e3, all_65_31, e2, e2,
% 176.23/27.20 | | | | | | | | | | | | simplifying with (17713), (18773) gives:
% 176.23/27.20 | | | | | | | | | | | | (18781) all_65_31 = e3
% 176.23/27.20 | | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_75, all_65_31, e2,
% 176.23/27.20 | | | | | | | | | | | | e2, simplifying with (18769), (18773) gives:
% 176.23/27.20 | | | | | | | | | | | | (18782) all_65_31 = all_65_75
% 176.23/27.20 | | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_6_1, all_65_15, e2,
% 176.23/27.20 | | | | | | | | | | | | e3, simplifying with (17771), (18772) gives:
% 176.23/27.20 | | | | | | | | | | | | (18783) all_65_15 = all_6_1
% 176.23/27.20 | | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | | COMBINE_EQS: (18781), (18782) imply:
% 176.23/27.20 | | | | | | | | | | | | (18784) all_65_75 = e3
% 176.23/27.20 | | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | | COMBINE_EQS: (18777), (18779) imply:
% 176.23/27.20 | | | | | | | | | | | | (18785) all_61_7 = all_61_13
% 176.23/27.20 | | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | | SIMP: (18785) implies:
% 176.23/27.20 | | | | | | | | | | | | (18786) all_61_7 = all_61_13
% 176.23/27.20 | | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | | COMBINE_EQS: (18776), (18786) imply:
% 176.23/27.20 | | | | | | | | | | | | (18787) all_61_13 = all_20_1
% 176.23/27.20 | | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | | REDUCE: (17768), (18776) imply:
% 176.23/27.20 | | | | | | | | | | | | (18788) op(all_20_1, e2) = all_61_3
% 176.23/27.20 | | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | | REDUCE: (689), (18776) imply:
% 176.23/27.20 | | | | | | | | | | | | (18789) op(all_20_1, e0) = all_65_63
% 176.23/27.20 | | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | | REDUCE: (663), (18787) imply:
% 176.23/27.20 | | | | | | | | | | | | (18790) op(all_20_1, e2) = all_65_29
% 176.23/27.20 | | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | | REDUCE: (665), (18781), (18787) imply:
% 176.23/27.20 | | | | | | | | | | | | (18791) op(all_20_1, e0) = e3
% 176.23/27.20 | | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | | REDUCE: (728), (18776) imply:
% 176.23/27.20 | | | | | | | | | | | | (18792) op(e2, all_20_1) = all_65_29
% 176.23/27.20 | | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | | REDUCE: (17774), (18787) imply:
% 176.23/27.20 | | | | | | | | | | | | (18793) op(e2, all_20_1) = all_61_12
% 176.23/27.20 | | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | | REDUCE: (231), (18787) imply:
% 176.23/27.20 | | | | | | | | | | | | (18794) op(e2, e0) = all_20_1
% 176.23/27.20 | | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_12, all_65_29,
% 176.23/27.20 | | | | | | | | | | | | all_20_1, e2, simplifying with (18792), (18793)
% 176.23/27.20 | | | | | | | | | | | | gives:
% 176.23/27.20 | | | | | | | | | | | | (18795) all_65_29 = all_61_12
% 176.23/27.20 | | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | | GROUND_INST: instantiating (50) with e3, all_65_63, e0,
% 176.23/27.20 | | | | | | | | | | | | all_20_1, simplifying with (18789), (18791) gives:
% 176.23/27.20 | | | | | | | | | | | | (18796) all_65_63 = e3
% 176.23/27.20 | | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_3, all_65_29, e2,
% 176.23/27.20 | | | | | | | | | | | | all_20_1, simplifying with (18788), (18790) gives:
% 176.23/27.20 | | | | | | | | | | | | (18797) all_65_29 = all_61_3
% 176.23/27.20 | | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | | COMBINE_EQS: (18795), (18797) imply:
% 176.23/27.20 | | | | | | | | | | | | (18798) all_61_3 = all_61_12
% 176.23/27.20 | | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | | BETA: splitting (101) gives:
% 176.23/27.20 | | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | | Case 1:
% 176.23/27.20 | | | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | | | (18799) ~ (all_36_2 = e0)
% 176.23/27.20 | | | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | | | REDUCE: (557), (18799) imply:
% 176.23/27.20 | | | | | | | | | | | | | (18800) ~ (all_14_2 = e0)
% 176.23/27.20 | | | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | | | BETA: splitting (107) gives:
% 176.23/27.20 | | | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | | | Case 1:
% 176.23/27.20 | | | | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | | | | (18801) ~ (all_40_2 = e1)
% 176.23/27.20 | | | | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | | | | REDUCE: (553), (18801) imply:
% 176.23/27.20 | | | | | | | | | | | | | | (18802) ~ (all_14_2 = e1)
% 176.23/27.20 | | | | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | | | | REF_CLOSE: (10), (50), (67), (151), (159), (162), (165),
% 176.23/27.20 | | | | | | | | | | | | | | (166), (167), (168), (226), (230), (234), (235),
% 176.23/27.20 | | | | | | | | | | | | | | (236), (237), (271), (475), (478), (481), (484),
% 176.23/27.20 | | | | | | | | | | | | | | (534), (588), (599), (601), (603), (635), (636),
% 176.23/27.20 | | | | | | | | | | | | | | (637), (638), (642), (646), (650), (666), (682),
% 176.23/27.20 | | | | | | | | | | | | | | (698), (714), (715), (731), (732), (748), (749),
% 176.23/27.20 | | | | | | | | | | | | | | (765), (18011), (18046), (18800), (18802) are
% 176.23/27.20 | | | | | | | | | | | | | | inconsistent by sub-proof #502.
% 176.23/27.20 | | | | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | | | Case 2:
% 176.23/27.20 | | | | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | | | | (18803) all_40_2 = e1
% 176.23/27.20 | | | | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | | | | COMBINE_EQS: (553), (18803) imply:
% 176.23/27.20 | | | | | | | | | | | | | | (18804) all_14_2 = e1
% 176.23/27.20 | | | | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | | | | SIMP: (18804) implies:
% 176.23/27.20 | | | | | | | | | | | | | | (18805) all_14_2 = e1
% 176.23/27.20 | | | | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | | | | REDUCE: (18046), (18805) imply:
% 176.23/27.20 | | | | | | | | | | | | | | (18806) ~ (e2 = e1)
% 176.23/27.20 | | | | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | | | | REDUCE: (17789), (18805) imply:
% 176.23/27.20 | | | | | | | | | | | | | | (18807) op(e1, e2) = all_65_16
% 176.23/27.20 | | | | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | | | | REDUCE: (17764), (18805) imply:
% 176.23/27.20 | | | | | | | | | | | | | | (18808) op(all_6_1, e2) = e1
% 176.23/27.20 | | | | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | | | | REDUCE: (715), (18805) imply:
% 176.23/27.20 | | | | | | | | | | | | | | (18809) op(e2, e1) = all_65_16
% 176.23/27.20 | | | | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_6, all_65_16, e2,
% 176.23/27.20 | | | | | | | | | | | | | | e1, simplifying with (229), (18807) gives:
% 176.23/27.20 | | | | | | | | | | | | | | (18810) all_65_16 = all_61_6
% 176.23/27.20 | | | | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_9, all_65_16, e1,
% 176.23/27.20 | | | | | | | | | | | | | | e2, simplifying with (232), (18809) gives:
% 176.23/27.20 | | | | | | | | | | | | | | (18811) all_65_16 = all_61_9
% 176.23/27.20 | | | | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | | | | COMBINE_EQS: (18810), (18811) imply:
% 176.23/27.20 | | | | | | | | | | | | | | (18812) all_61_6 = all_61_9
% 176.23/27.20 | | | | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | | | | SIMP: (18812) implies:
% 176.23/27.20 | | | | | | | | | | | | | | (18813) all_61_6 = all_61_9
% 176.23/27.20 | | | | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | | | | REDUCE: (672), (18813) imply:
% 176.23/27.20 | | | | | | | | | | | | | | (18814) op(all_61_9, e1) = all_65_38
% 176.23/27.20 | | | | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_9, all_65_38, e1,
% 176.23/27.20 | | | | | | | | | | | | | | all_61_9, simplifying with (18044), (18814) gives:
% 176.23/27.20 | | | | | | | | | | | | | | (18815) all_65_38 = all_61_9
% 176.23/27.20 | | | | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | | | | BETA: splitting (164) gives:
% 176.23/27.20 | | | | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | | | | Case 1:
% 176.23/27.20 | | | | | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | | | | | (18816) ~ (all_58_1 = e1)
% 176.23/27.20 | | | | | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | | | | | REDUCE: (481), (18816) imply:
% 176.23/27.20 | | | | | | | | | | | | | | | (18817) ~ (all_52_1 = e1)
% 176.23/27.20 | | | | | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | | | | | REF_CLOSE: (7), (9), (20), (21), (50), (150), (163), (165),
% 176.23/27.20 | | | | | | | | | | | | | | | (481), (484), (536), (714), (731), (17713),
% 176.23/27.20 | | | | | | | | | | | | | | | (17771), (18011), (18791), (18794), (18808),
% 176.23/27.20 | | | | | | | | | | | | | | | (18817) are inconsistent by sub-proof #78.
% 176.23/27.20 | | | | | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | | | | Case 2:
% 176.23/27.20 | | | | | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | | | | | (18818) all_58_1 = e1
% 176.23/27.20 | | | | | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | | | | | REF_CLOSE: (8), (50), (232), (481), (731), (18025), (18044),
% 176.23/27.20 | | | | | | | | | | | | | | | (18818) are inconsistent by sub-proof #89.
% 176.23/27.20 | | | | | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | | | | End of split
% 176.23/27.20 | | | | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | | | End of split
% 176.23/27.20 | | | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | | Case 2:
% 176.23/27.20 | | | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | | | (18819) all_36_2 = e0
% 176.23/27.20 | | | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | | | COMBINE_EQS: (557), (18819) imply:
% 176.23/27.20 | | | | | | | | | | | | | (18820) all_14_2 = e0
% 176.23/27.20 | | | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | | | SIMP: (18820) implies:
% 176.23/27.20 | | | | | | | | | | | | | (18821) all_14_2 = e0
% 176.23/27.20 | | | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | | | REDUCE: (18046), (18821) imply:
% 176.23/27.20 | | | | | | | | | | | | | (18822) ~ (e2 = e0)
% 176.23/27.20 | | | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | | | REDUCE: (17764), (18821) imply:
% 176.23/27.20 | | | | | | | | | | | | | (18823) op(all_6_1, e2) = e0
% 176.23/27.20 | | | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | | | BETA: splitting (164) gives:
% 176.23/27.20 | | | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | | | Case 1:
% 176.23/27.20 | | | | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | | | | (18824) ~ (all_58_1 = e1)
% 176.23/27.20 | | | | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | | | | REDUCE: (481), (18824) imply:
% 176.23/27.20 | | | | | | | | | | | | | | (18825) ~ (all_52_1 = e1)
% 176.23/27.20 | | | | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | | | | REF_CLOSE: (7), (9), (19), (21), (50), (150), (161), (163),
% 176.23/27.20 | | | | | | | | | | | | | | (164), (165), (168), (478), (481), (484), (536),
% 176.23/27.20 | | | | | | | | | | | | | | (714), (731), (17713), (17771), (18011), (18791),
% 176.23/27.20 | | | | | | | | | | | | | | (18794), (18823), (18825) are inconsistent by
% 176.23/27.20 | | | | | | | | | | | | | | sub-proof #73.
% 176.23/27.20 | | | | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | | | Case 2:
% 176.23/27.20 | | | | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | | | | (18826) all_58_1 = e1
% 176.23/27.20 | | | | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | | | | REF_CLOSE: (8), (50), (232), (481), (731), (18025), (18044),
% 176.23/27.20 | | | | | | | | | | | | | | (18826) are inconsistent by sub-proof #89.
% 176.23/27.20 | | | | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | | | End of split
% 176.23/27.20 | | | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | | End of split
% 176.23/27.20 | | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | End of split
% 176.23/27.20 | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | Case 2:
% 176.23/27.20 | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | (18827) all_14_2 = e2
% 176.23/27.20 | | | | | | | | | | | (18828) op(e3, e2) = all_14_1 & $i(all_14_1) & ( ~
% 176.23/27.20 | | | | | | | | | | | (all_14_1 = e0) | ( ~ (all_14_0 = e1) & op(e0,
% 176.23/27.20 | | | | | | | | | | | e3) = all_14_0 & $i(all_14_0)))
% 176.23/27.20 | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | ALPHA: (18828) implies:
% 176.23/27.20 | | | | | | | | | | | (18829) op(e3, e2) = all_14_1
% 176.23/27.20 | | | | | | | | | | | (18830) ~ (all_14_1 = e0) | ( ~ (all_14_0 = e1) & op(e0,
% 176.23/27.20 | | | | | | | | | | | e3) = all_14_0 & $i(all_14_0))
% 176.23/27.20 | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | COMBINE_EQS: (561), (18827) imply:
% 176.23/27.20 | | | | | | | | | | | (18831) all_26_2 = e2
% 176.23/27.20 | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | REDUCE: (601), (18827) imply:
% 176.23/27.20 | | | | | | | | | | | (18832) ~ (all_61_8 = e2)
% 176.23/27.20 | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | REDUCE: (603), (18827) imply:
% 176.23/27.20 | | | | | | | | | | | (18833) ~ (all_61_12 = e2)
% 176.23/27.20 | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | REDUCE: (17757), (18827) imply:
% 176.23/27.20 | | | | | | | | | | | (18834) ~ (all_6_1 = e2)
% 176.23/27.20 | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | SIMP: (18834) implies:
% 176.23/27.20 | | | | | | | | | | | (18835) ~ (all_6_1 = e2)
% 176.23/27.20 | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | REDUCE: (634), (18827) imply:
% 176.23/27.20 | | | | | | | | | | | (18836) op(e2, e3) = all_65_0
% 176.23/27.20 | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | REDUCE: (636), (18827) imply:
% 176.23/27.20 | | | | | | | | | | | (18837) op(e2, e1) = all_65_2
% 176.23/27.20 | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | REDUCE: (637), (18827) imply:
% 176.23/27.20 | | | | | | | | | | | (18838) op(e2, e0) = all_65_3
% 176.23/27.20 | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | REDUCE: (698), (18827) imply:
% 176.23/27.20 | | | | | | | | | | | (18839) op(e3, e2) = all_65_0
% 176.23/27.20 | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | REDUCE: (715), (18827) imply:
% 176.23/27.20 | | | | | | | | | | | (18840) op(e2, e2) = all_65_16
% 176.23/27.20 | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | REDUCE: (17793), (18827) imply:
% 176.23/27.20 | | | | | | | | | | | (18841) op(e2, all_6_1) = e2
% 176.23/27.20 | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | REDUCE: (732), (18827) imply:
% 176.23/27.20 | | | | | | | | | | | (18842) op(e1, e2) = all_65_32
% 176.23/27.20 | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | REDUCE: (749), (18827) imply:
% 176.23/27.20 | | | | | | | | | | | (18843) op(e0, e2) = all_65_49
% 176.23/27.20 | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | BETA: splitting (86) gives:
% 176.23/27.20 | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | Case 1:
% 176.23/27.20 | | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | | (18844) ~ (all_26_2 = e2)
% 176.23/27.20 | | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | | REDUCE: (18831), (18844) imply:
% 176.23/27.20 | | | | | | | | | | | | (18845) $false
% 176.23/27.20 | | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | | CLOSE: (18845) is inconsistent.
% 176.23/27.20 | | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | Case 2:
% 176.23/27.20 | | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | | (18846) op(e3, e2) = all_26_1 & $i(all_26_1) & ( ~
% 176.23/27.20 | | | | | | | | | | | | (all_26_1 = e1) | ( ~ (all_26_0 = e0) & op(e1,
% 176.23/27.20 | | | | | | | | | | | | e3) = all_26_0 & $i(all_26_0)))
% 176.23/27.20 | | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | | ALPHA: (18846) implies:
% 176.23/27.20 | | | | | | | | | | | | (18847) op(e3, e2) = all_26_1
% 176.23/27.20 | | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_7, all_65_49, e2,
% 176.23/27.20 | | | | | | | | | | | | e0, simplifying with (225), (18843) gives:
% 176.23/27.20 | | | | | | | | | | | | (18848) all_65_49 = all_61_7
% 176.23/27.20 | | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_6, all_65_32, e2,
% 176.23/27.20 | | | | | | | | | | | | e1, simplifying with (229), (18842) gives:
% 176.23/27.20 | | | | | | | | | | | | (18849) all_65_32 = all_61_6
% 176.23/27.20 | | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_13, all_65_3, e0,
% 176.23/27.20 | | | | | | | | | | | | e2, simplifying with (231), (18838) gives:
% 176.23/27.20 | | | | | | | | | | | | (18850) all_65_3 = all_61_13
% 176.23/27.20 | | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_9, all_65_2, e1,
% 176.23/27.20 | | | | | | | | | | | | e2, simplifying with (232), (18837) gives:
% 176.23/27.20 | | | | | | | | | | | | (18851) all_65_2 = all_61_9
% 176.23/27.20 | | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | | GROUND_INST: instantiating (50) with e3, all_65_16, e2, e2,
% 176.23/27.20 | | | | | | | | | | | | simplifying with (17713), (18840) gives:
% 176.23/27.20 | | | | | | | | | | | | (18852) all_65_16 = e3
% 176.23/27.20 | | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_6_1, all_26_1, e2, e3,
% 176.23/27.20 | | | | | | | | | | | | simplifying with (17771), (18847) gives:
% 176.23/27.20 | | | | | | | | | | | | (18853) all_26_1 = all_6_1
% 176.23/27.20 | | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_26_1, all_65_0, e2,
% 176.23/27.20 | | | | | | | | | | | | e3, simplifying with (18839), (18847) gives:
% 176.23/27.20 | | | | | | | | | | | | (18854) all_65_0 = all_26_1
% 176.23/27.20 | | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_14_1, all_65_0, e2,
% 176.23/27.20 | | | | | | | | | | | | e3, simplifying with (18829), (18839) gives:
% 176.23/27.20 | | | | | | | | | | | | (18855) all_65_0 = all_14_1
% 176.23/27.20 | | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | | COMBINE_EQS: (18854), (18855) imply:
% 176.23/27.20 | | | | | | | | | | | | (18856) all_26_1 = all_14_1
% 176.23/27.20 | | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | | SIMP: (18856) implies:
% 176.23/27.20 | | | | | | | | | | | | (18857) all_26_1 = all_14_1
% 176.23/27.20 | | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | | COMBINE_EQS: (18853), (18857) imply:
% 176.23/27.20 | | | | | | | | | | | | (18858) all_14_1 = all_6_1
% 176.23/27.20 | | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | | COMBINE_EQS: (18855), (18858) imply:
% 176.23/27.20 | | | | | | | | | | | | (18859) all_65_0 = all_6_1
% 176.23/27.20 | | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | | REDUCE: (682), (18848) imply:
% 176.23/27.20 | | | | | | | | | | | | (18860) op(all_61_3, e3) = all_61_7
% 176.23/27.20 | | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | | REDUCE: (701), (18850) imply:
% 176.23/27.20 | | | | | | | | | | | | (18861) op(e3, all_61_12) = all_61_13
% 176.23/27.20 | | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | | BETA: splitting (77) gives:
% 176.23/27.20 | | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | | Case 1:
% 176.23/27.20 | | | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | | | (18862) ~ (all_20_2 = e2)
% 176.23/27.20 | | | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | | | BETA: splitting (89) gives:
% 176.23/27.20 | | | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | | | Case 1:
% 176.23/27.20 | | | | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | | | | (18863) ~ (all_28_2 = e3)
% 176.23/27.20 | | | | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | | | | REDUCE: (563), (18863) imply:
% 176.23/27.20 | | | | | | | | | | | | | | (18864) ~ (all_20_2 = e3)
% 176.23/27.20 | | | | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | | | | BETA: splitting (110) gives:
% 176.23/27.20 | | | | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | | | | Case 1:
% 176.23/27.20 | | | | | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | | | | | (18865) ~ (all_42_2 = e1)
% 176.23/27.20 | | | | | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | | | | | REDUCE: (532), (18865) imply:
% 176.23/27.20 | | | | | | | | | | | | | | | (18866) ~ (all_20_2 = e1)
% 176.23/27.20 | | | | | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | | | | | BETA: splitting (256) gives:
% 176.23/27.20 | | | | | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | | | | | Case 1:
% 176.23/27.20 | | | | | | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | | | | | | (18867) all_63_15 = e3
% 176.23/27.20 | | | | | | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | | | | | | REF_CLOSE: (422), (18864), (18867) are inconsistent by
% 176.23/27.20 | | | | | | | | | | | | | | | | sub-proof #501.
% 176.23/27.20 | | | | | | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | | | | | Case 2:
% 176.23/27.20 | | | | | | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | | | | | | (18868) all_63_15 = e2 | all_63_15 = e1 | all_63_15 = e0
% 176.23/27.20 | | | | | | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | | | | | | BETA: splitting (18868) gives:
% 176.23/27.20 | | | | | | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | | | | | | Case 1:
% 176.23/27.20 | | | | | | | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | | | | | | | (18869) all_63_15 = e2
% 176.23/27.20 | | | | | | | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | | | | | | | REF_CLOSE: (422), (18862), (18869) are inconsistent by
% 176.23/27.20 | | | | | | | | | | | | | | | | | sub-proof #500.
% 176.23/27.20 | | | | | | | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | | | | | | Case 2:
% 176.23/27.20 | | | | | | | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | | | | | | | (18870) all_63_15 = e1 | all_63_15 = e0
% 176.23/27.20 | | | | | | | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | | | | | | | BETA: splitting (18870) gives:
% 176.23/27.20 | | | | | | | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | | | | | | | Case 1:
% 176.23/27.20 | | | | | | | | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | | | | | | | | (18871) all_63_15 = e1
% 176.23/27.20 | | | | | | | | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | | | | | | | | REF_CLOSE: (422), (18866), (18871) are inconsistent by
% 176.23/27.20 | | | | | | | | | | | | | | | | | | sub-proof #499.
% 176.23/27.20 | | | | | | | | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | | | | | | | Case 2:
% 176.23/27.20 | | | | | | | | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | | | | | | | | (18872) all_63_15 = e0
% 176.23/27.20 | | | | | | | | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (422), (18872) imply:
% 176.23/27.20 | | | | | | | | | | | | | | | | | | (18873) all_20_2 = e0
% 176.23/27.20 | | | | | | | | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | | | | | | | | SIMP: (18873) implies:
% 176.23/27.20 | | | | | | | | | | | | | | | | | | (18874) all_20_2 = e0
% 176.23/27.20 | | | | | | | | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | | | | | | | | REDUCE: (626), (18874) imply:
% 176.23/27.20 | | | | | | | | | | | | | | | | | | (18875) ~ (all_61_13 = e0)
% 176.23/27.20 | | | | | | | | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | | | | | | | | REDUCE: (627), (18874) imply:
% 176.23/27.20 | | | | | | | | | | | | | | | | | | (18876) ~ (all_61_14 = e0)
% 176.23/27.20 | | | | | | | | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | | | | | | | | REDUCE: (696), (18874) imply:
% 176.23/27.20 | | | | | | | | | | | | | | | | | | (18877) op(e0, e1) = all_65_77
% 176.23/27.20 | | | | | | | | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | | | | | | | | REDUCE: (730), (18874) imply:
% 176.23/27.20 | | | | | | | | | | | | | | | | | | (18878) op(e2, e0) = all_65_31
% 176.23/27.20 | | | | | | | | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | | | | | | | | REDUCE: (747), (18874) imply:
% 176.23/27.20 | | | | | | | | | | | | | | | | | | (18879) op(e1, e0) = all_65_47
% 176.23/27.20 | | | | | | | | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_11, all_65_77, e1,
% 176.23/27.20 | | | | | | | | | | | | | | | | | | e0, simplifying with (224), (18877) gives:
% 176.23/27.20 | | | | | | | | | | | | | | | | | | (18880) all_65_77 = all_61_11
% 176.23/27.20 | | | | | | | | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_14, all_65_47, e0,
% 176.23/27.20 | | | | | | | | | | | | | | | | | | e1, simplifying with (227), (18879) gives:
% 176.23/27.20 | | | | | | | | | | | | | | | | | | (18881) all_65_47 = all_61_14
% 176.23/27.20 | | | | | | | | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_13, all_65_31, e0,
% 176.23/27.20 | | | | | | | | | | | | | | | | | | e2, simplifying with (231), (18878) gives:
% 176.23/27.20 | | | | | | | | | | | | | | | | | | (18882) all_65_31 = all_61_13
% 176.23/27.20 | | | | | | | | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | | | | | | | | REDUCE: (665), (18882) imply:
% 176.23/27.20 | | | | | | | | | | | | | | | | | | (18883) op(all_61_13, e0) = all_61_13
% 176.23/27.20 | | | | | | | | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | | | | | | | | BETA: splitting (167) gives:
% 176.23/27.20 | | | | | | | | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | | | | | | | | Case 1:
% 176.23/27.20 | | | | | | | | | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | | | | | | | | | (18884) ~ (all_58_0 = e1)
% 176.23/27.20 | | | | | | | | | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | | | | | | | | | REDUCE: (484), (18884) imply:
% 176.23/27.20 | | | | | | | | | | | | | | | | | | | (18885) ~ (all_52_0 = e1)
% 176.23/27.20 | | | | | | | | | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | | | | | | | | | BETA: splitting (162) gives:
% 176.23/27.20 | | | | | | | | | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | | | | | | | | | Case 1:
% 176.23/27.20 | | | | | | | | | | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | | | | | | | | | | (18886) ~ (all_58_2 = e3)
% 176.23/27.20 | | | | | | | | | | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | | | | | | | | | | REDUCE: (478), (18886) imply:
% 176.23/27.20 | | | | | | | | | | | | | | | | | | | | (18887) ~ (all_52_2 = e3)
% 176.23/27.20 | | | | | | | | | | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | | | | | | | | | | BETA: splitting (161) gives:
% 176.23/27.20 | | | | | | | | | | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.23/27.20 | | | | | | | | | | | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | | | | | | | | | | | (18888) ~ (all_58_2 = e2)
% 176.23/27.20 | | | | | | | | | | | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | | | | | | | | | | | REDUCE: (478), (18888) imply:
% 176.23/27.20 | | | | | | | | | | | | | | | | | | | | | (18889) ~ (all_52_2 = e2)
% 176.23/27.20 | | | | | | | | | | | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (50), (149), (160), (224), (227), (475),
% 176.23/27.20 | | | | | | | | | | | | | | | | | | | | | (478), (538), (680), (748), (765), (18027),
% 176.23/27.20 | | | | | | | | | | | | | | | | | | | | | (18034), (18045), (18876), (18887), (18889) are
% 176.23/27.20 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #493.
% 176.23/27.20 | | | | | | | | | | | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.23/27.20 | | | | | | | | | | | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | | | | | | | | | | | (18890) all_58_2 = e2
% 176.23/27.20 | | | | | | | | | | | | | | | | | | | | | (18891) all_58_1 = e1
% 176.23/27.20 | | | | | | | | | | | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (50), (229), (232), (478), (481), (659),
% 176.23/27.20 | | | | | | | | | | | | | | | | | | | | | (724), (731), (748), (17773), (18832), (18890),
% 176.23/27.20 | | | | | | | | | | | | | | | | | | | | | (18891) are inconsistent by sub-proof #70.
% 176.23/27.20 | | | | | | | | | | | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | | | | | | | | | | End of split
% 176.23/27.20 | | | | | | | | | | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | | | | | | | | | Case 2:
% 176.23/27.20 | | | | | | | | | | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | | | | | | | | | | (18892) all_58_0 = e1
% 176.23/27.20 | | | | | | | | | | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (484), (18885), (18892) are inconsistent by
% 176.23/27.20 | | | | | | | | | | | | | | | | | | | | sub-proof #470.
% 176.23/27.20 | | | | | | | | | | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | | | | | | | | | End of split
% 176.23/27.20 | | | | | | | | | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | | | | | | | | Case 2:
% 176.23/27.20 | | | | | | | | | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | | | | | | | | | (18893) all_58_2 = e3
% 176.23/27.20 | | | | | | | | | | | | | | | | | | | (18894) all_58_0 = e1
% 176.23/27.20 | | | | | | | | | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (484), (18894) imply:
% 176.23/27.20 | | | | | | | | | | | | | | | | | | | (18895) all_52_0 = e1
% 176.23/27.20 | | | | | | | | | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | | | | | | | | | SIMP: (18895) implies:
% 176.23/27.20 | | | | | | | | | | | | | | | | | | | (18896) all_52_0 = e1
% 176.23/27.20 | | | | | | | | | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (478), (18893) imply:
% 176.23/27.20 | | | | | | | | | | | | | | | | | | | (18897) all_52_2 = e3
% 176.23/27.20 | | | | | | | | | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | | | | | | | | | SIMP: (18897) implies:
% 176.23/27.20 | | | | | | | | | | | | | | | | | | | (18898) all_52_2 = e3
% 176.23/27.20 | | | | | | | | | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (50), (150), (163), (231), (481), (536),
% 176.23/27.20 | | | | | | | | | | | | | | | | | | | (628), (631), (731), (17713), (18011), (18875),
% 176.23/27.20 | | | | | | | | | | | | | | | | | | | (18883), (18896), (18898) are inconsistent by
% 176.23/27.20 | | | | | | | | | | | | | | | | | | | sub-proof #85.
% 176.23/27.20 | | | | | | | | | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | | | | | | | | End of split
% 176.23/27.20 | | | | | | | | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | | | | | | | End of split
% 176.23/27.20 | | | | | | | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | | | | | | End of split
% 176.23/27.20 | | | | | | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | | | | | End of split
% 176.23/27.20 | | | | | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | | | | Case 2:
% 176.23/27.20 | | | | | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | | | | | (18899) all_42_2 = e1
% 176.23/27.20 | | | | | | | | | | | | | | | (18900) op(e0, e1) = all_42_1 & $i(all_42_1) & ( ~
% 176.23/27.20 | | | | | | | | | | | | | | | (all_42_1 = e3) | ( ~ (all_42_0 = e2) & op(e3,
% 176.23/27.20 | | | | | | | | | | | | | | | e0) = all_42_0 & $i(all_42_0)))
% 176.23/27.20 | | | | | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | | | | | ALPHA: (18900) implies:
% 176.23/27.20 | | | | | | | | | | | | | | | (18901) op(e0, e1) = all_42_1
% 176.23/27.20 | | | | | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | | | | | COMBINE_EQS: (532), (18899) imply:
% 176.23/27.20 | | | | | | | | | | | | | | | (18902) all_20_2 = e1
% 176.23/27.20 | | | | | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | | | | | REDUCE: (695), (18902) imply:
% 176.23/27.20 | | | | | | | | | | | | | | | (18903) op(e1, e2) = all_65_75
% 176.23/27.20 | | | | | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | | | | | REDUCE: (696), (18902) imply:
% 176.23/27.20 | | | | | | | | | | | | | | | (18904) op(e1, e1) = all_65_77
% 176.23/27.20 | | | | | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | | | | | REDUCE: (697), (18902) imply:
% 176.23/27.20 | | | | | | | | | | | | | | | (18905) op(e1, e0) = all_65_78
% 176.23/27.20 | | | | | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | | | | | REDUCE: (730), (18902) imply:
% 176.23/27.20 | | | | | | | | | | | | | | | (18906) op(e2, e1) = all_65_31
% 176.23/27.20 | | | | | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | | | | | REDUCE: (747), (18902) imply:
% 176.23/27.20 | | | | | | | | | | | | | | | (18907) op(e1, e1) = all_65_47
% 176.23/27.20 | | | | | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | | | | | REDUCE: (764), (18902) imply:
% 176.23/27.20 | | | | | | | | | | | | | | | (18908) op(e0, e1) = all_65_78
% 176.23/27.20 | | | | | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_11, all_65_78, e1,
% 176.23/27.20 | | | | | | | | | | | | | | | e0, simplifying with (224), (18908) gives:
% 176.23/27.20 | | | | | | | | | | | | | | | (18909) all_65_78 = all_61_11
% 176.23/27.20 | | | | | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_42_1, all_65_78, e1,
% 176.23/27.20 | | | | | | | | | | | | | | | e0, simplifying with (18901), (18908) gives:
% 176.23/27.20 | | | | | | | | | | | | | | | (18910) all_65_78 = all_42_1
% 176.23/27.20 | | | | | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_14, all_65_78, e0,
% 176.23/27.20 | | | | | | | | | | | | | | | e1, simplifying with (227), (18905) gives:
% 176.23/27.20 | | | | | | | | | | | | | | | (18911) all_65_78 = all_61_14
% 176.23/27.20 | | | | | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e1, all_65_47, e1, e1,
% 176.23/27.20 | | | | | | | | | | | | | | | simplifying with (18034), (18907) gives:
% 176.23/27.20 | | | | | | | | | | | | | | | (18912) all_65_47 = e1
% 176.23/27.20 | | | | | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_77, all_65_47, e1,
% 176.23/27.20 | | | | | | | | | | | | | | | e1, simplifying with (18904), (18907) gives:
% 176.23/27.20 | | | | | | | | | | | | | | | (18913) all_65_47 = all_65_77
% 176.23/27.20 | | | | | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_6, all_65_75, e2,
% 176.23/27.20 | | | | | | | | | | | | | | | e1, simplifying with (229), (18903) gives:
% 176.23/27.20 | | | | | | | | | | | | | | | (18914) all_65_75 = all_61_6
% 176.23/27.20 | | | | | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_9, all_65_31, e1,
% 176.23/27.20 | | | | | | | | | | | | | | | e2, simplifying with (232), (18906) gives:
% 176.23/27.20 | | | | | | | | | | | | | | | (18915) all_65_31 = all_61_9
% 176.23/27.20 | | | | | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | | | | | COMBINE_EQS: (18912), (18913) imply:
% 176.23/27.20 | | | | | | | | | | | | | | | (18916) all_65_77 = e1
% 176.23/27.20 | | | | | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | | | | | SIMP: (18916) implies:
% 176.23/27.20 | | | | | | | | | | | | | | | (18917) all_65_77 = e1
% 176.23/27.20 | | | | | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | | | | | COMBINE_EQS: (18909), (18910) imply:
% 176.23/27.20 | | | | | | | | | | | | | | | (18918) all_61_11 = all_42_1
% 176.23/27.20 | | | | | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | | | | | SIMP: (18918) implies:
% 176.23/27.20 | | | | | | | | | | | | | | | (18919) all_61_11 = all_42_1
% 176.23/27.20 | | | | | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | | | | | COMBINE_EQS: (18910), (18911) imply:
% 176.23/27.20 | | | | | | | | | | | | | | | (18920) all_61_14 = all_42_1
% 176.23/27.20 | | | | | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | | | | | SIMP: (18920) implies:
% 176.23/27.20 | | | | | | | | | | | | | | | (18921) all_61_14 = all_42_1
% 176.23/27.20 | | | | | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | | | | | REDUCE: (177), (18921) imply:
% 176.23/27.20 | | | | | | | | | | | | | | | (18922) ~ (all_61_13 = all_42_1)
% 176.23/27.20 | | | | | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | | | | | REDUCE: (693), (18919) imply:
% 176.23/27.20 | | | | | | | | | | | | | | | (18923) op(all_42_1, e0) = all_65_71
% 176.23/27.20 | | | | | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | | | | | REDUCE: (681), (18912), (18921) imply:
% 176.23/27.20 | | | | | | | | | | | | | | | (18924) op(all_42_1, e0) = e1
% 176.23/27.20 | | | | | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | | | | | REDUCE: (227), (18921) imply:
% 176.23/27.20 | | | | | | | | | | | | | | | (18925) op(e1, e0) = all_42_1
% 176.23/27.20 | | | | | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e1, all_65_71, e0,
% 176.23/27.20 | | | | | | | | | | | | | | | all_42_1, simplifying with (18923), (18924) gives:
% 176.23/27.20 | | | | | | | | | | | | | | | (18926) all_65_71 = e1
% 176.23/27.20 | | | | | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | | | | | BETA: splitting (161) gives:
% 176.23/27.20 | | | | | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | | | | | Case 1:
% 176.23/27.20 | | | | | | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | | | | | | (18927) ~ (all_58_2 = e2)
% 176.23/27.20 | | | | | | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | | | | | | REDUCE: (478), (18927) imply:
% 176.23/27.20 | | | | | | | | | | | | | | | | (18928) ~ (all_52_2 = e2)
% 176.23/27.20 | | | | | | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | | | | | | BETA: splitting (164) gives:
% 176.23/27.20 | | | | | | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | | | | | | Case 1:
% 176.23/27.20 | | | | | | | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | | | | | | | (18929) ~ (all_58_1 = e1)
% 176.23/27.20 | | | | | | | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | | | | | | | REDUCE: (481), (18929) imply:
% 176.23/27.20 | | | | | | | | | | | | | | | | | (18930) ~ (all_52_1 = e1)
% 176.23/27.20 | | | | | | | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | | | | | | | BETA: splitting (163) gives:
% 176.23/27.20 | | | | | | | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | | | | | | | Case 1:
% 176.23/27.20 | | | | | | | | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | | | | | | | | (18931) ~ (all_58_1 = e0)
% 176.23/27.20 | | | | | | | | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | | | | | | | | REDUCE: (481), (18931) imply:
% 176.23/27.20 | | | | | | | | | | | | | | | | | | (18932) ~ (all_52_1 = e0)
% 176.23/27.20 | | | | | | | | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | | | | | | | | BETA: splitting (165) gives:
% 176.23/27.20 | | | | | | | | | | | | | | | | | |
% 176.23/27.20 | | | | | | | | | | | | | | | | | | Case 1:
% 176.23/27.20 | | | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | (18933) ~ (all_58_1 = e3)
% 176.23/27.21 | | | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | REDUCE: (481), (18933) imply:
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | (18934) ~ (all_52_1 = e3)
% 176.23/27.21 | | | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (50), (150), (536), (731), (17713), (18011),
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | (18930), (18932), (18934) are inconsistent by
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | sub-proof #98.
% 176.23/27.21 | | | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | | Case 2:
% 176.23/27.21 | | | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | (18935) all_58_1 = e3
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | (18936) all_58_0 = e2
% 176.23/27.21 | | | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (484), (18936) imply:
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | (18937) all_52_0 = e2
% 176.23/27.21 | | | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | SIMP: (18937) implies:
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | (18938) all_52_0 = e2
% 176.23/27.21 | | | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (481), (18935) imply:
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | (18939) all_52_1 = e3
% 176.23/27.21 | | | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | SIMP: (18939) implies:
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | (18940) all_52_1 = e3
% 176.23/27.21 | | | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | REDUCE: (629), (18938) imply:
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | (18941) ~ (all_52_2 = e2)
% 176.23/27.21 | | | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | REDUCE: (631), (18940) imply:
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | (18942) ~ (all_52_2 = e3)
% 176.23/27.21 | | | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | SIMP: (18942) implies:
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | (18943) ~ (all_52_2 = e3)
% 176.23/27.21 | | | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | REDUCE: (714), (18938) imply:
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | (18944) op(e3, e2) = unit
% 176.23/27.21 | | | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_6_1, unit, e2, e3,
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | simplifying with (17771), (18944) gives:
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | (18945) all_6_1 = unit
% 176.23/27.21 | | | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | REDUCE: (17747), (18945) imply:
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | (18946) ~ (all_61_13 = unit)
% 176.23/27.21 | | | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | REDUCE: (17762), (18945) imply:
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | (18947) op(unit, e0) = all_65_19
% 176.23/27.21 | | | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e0, all_65_19, e0, unit,
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | simplifying with (7), (18947) gives:
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | (18948) all_65_19 = e0
% 176.23/27.21 | | | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | BETA: splitting (157) gives:
% 176.23/27.21 | | | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | Case 1:
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | (18949) ~ (all_58_3 = e1)
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | REDUCE: (475), (18949) imply:
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | (18950) ~ (all_52_3 = e1)
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | BETA: splitting (160) gives:
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | (18951) ~ (all_58_2 = e0)
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | REDUCE: (478), (18951) imply:
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | (18952) ~ (all_52_2 = e0)
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (149) gives:
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | | (18953) all_56_2 = e3
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (538), (18943), (18953) are inconsistent by
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | | sub-proof #482.
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | | (18954) all_56_2 = e2 | all_56_2 = e1 | all_56_2 = e0
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18954) gives:
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | | | (18955) all_56_2 = e2
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (538), (18928), (18955) are inconsistent by
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #481.
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | | | (18956) all_56_2 = e1 | all_56_2 = e0
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18956) gives:
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | | | | (18957) all_56_2 = e1
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (538), (18957) imply:
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | | | | (18958) all_52_2 = e1
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (18958) implies:
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | | | | (18959) all_52_2 = e1
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (748), (18959) imply:
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | | | | (18960) op(e1, e1) = unit
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e1, unit, e1, e1,
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (18034), (18960) gives:
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | | | | (18961) unit = e1
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (18945), (18961) imply:
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | | | | (18962) all_6_1 = e1
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18946), (18961) imply:
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | | | | (18963) ~ (all_61_13 = e1)
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7), (18961) imply:
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | | | | (18964) op(e1, e0) = e0
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5), (18961) imply:
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | | | | (18965) op(e2, e1) = e2
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (50), (184), (232), (264), (498), (17700),
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | | | | (17706), (18922), (18925), (18962), (18963),
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | | | | (18964), (18965) are inconsistent by sub-proof
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | | | | #83.
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | | | | (18966) all_56_2 = e0
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (538), (18952), (18966) are inconsistent by
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #480.
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | End of split
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | (18967) all_58_3 = e1
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (475), (18950), (18967) are inconsistent by
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | sub-proof #460.
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | End of split
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | Case 2:
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | (18968) all_58_3 = e1
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | (18969) all_58_2 = e0
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (478), (18969) imply:
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | (18970) all_52_2 = e0
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | SIMP: (18970) implies:
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | (18971) all_52_2 = e0
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (475), (18968) imply:
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | (18972) all_52_3 = e1
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | SIMP: (18972) implies:
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | (18973) all_52_3 = e1
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (50), (633), (748), (18924), (18925),
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | (18971), (18973) are inconsistent by sub-proof
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | #477.
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | End of split
% 176.23/27.21 | | | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | | End of split
% 176.23/27.21 | | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | Case 2:
% 176.23/27.21 | | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | | (18974) all_58_3 = e2
% 176.23/27.21 | | | | | | | | | | | | | | | | | | (18975) all_58_1 = e0
% 176.23/27.21 | | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (481), (18975) imply:
% 176.23/27.21 | | | | | | | | | | | | | | | | | | (18976) all_52_1 = e0
% 176.23/27.21 | | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | | SIMP: (18976) implies:
% 176.23/27.21 | | | | | | | | | | | | | | | | | | (18977) all_52_1 = e0
% 176.23/27.21 | | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (475), (18974) imply:
% 176.23/27.21 | | | | | | | | | | | | | | | | | | (18978) all_52_3 = e2
% 176.23/27.21 | | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | | SIMP: (18978) implies:
% 176.23/27.21 | | | | | | | | | | | | | | | | | | (18979) all_52_3 = e2
% 176.23/27.21 | | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | | REDUCE: (731), (18977) imply:
% 176.23/27.21 | | | | | | | | | | | | | | | | | | (18980) op(e2, e0) = unit
% 176.23/27.21 | | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | | REDUCE: (765), (18979) imply:
% 176.23/27.21 | | | | | | | | | | | | | | | | | | (18981) op(e0, e2) = unit
% 176.23/27.21 | | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_7, unit, e2, e0,
% 176.23/27.21 | | | | | | | | | | | | | | | | | | simplifying with (225), (18981) gives:
% 176.23/27.21 | | | | | | | | | | | | | | | | | | (18982) all_61_7 = unit
% 176.23/27.21 | | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_13, unit, e0, e2,
% 176.23/27.21 | | | | | | | | | | | | | | | | | | simplifying with (231), (18980) gives:
% 176.23/27.21 | | | | | | | | | | | | | | | | | | (18983) all_61_13 = unit
% 176.23/27.21 | | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | | REDUCE: (663), (18983) imply:
% 176.23/27.21 | | | | | | | | | | | | | | | | | | (18984) op(unit, e2) = all_65_29
% 176.23/27.21 | | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | | REDUCE: (728), (18982) imply:
% 176.23/27.21 | | | | | | | | | | | | | | | | | | (18985) op(e2, unit) = all_65_29
% 176.23/27.21 | | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | | REDUCE: (17774), (18983) imply:
% 176.23/27.21 | | | | | | | | | | | | | | | | | | (18986) op(e2, unit) = all_61_12
% 176.23/27.21 | | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_12, all_65_29,
% 176.23/27.21 | | | | | | | | | | | | | | | | | | unit, e2, simplifying with (18985), (18986) gives:
% 176.23/27.21 | | | | | | | | | | | | | | | | | | (18987) all_65_29 = all_61_12
% 176.23/27.21 | | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e2, all_65_29, e2, unit,
% 176.23/27.21 | | | | | | | | | | | | | | | | | | simplifying with (9), (18984) gives:
% 176.23/27.21 | | | | | | | | | | | | | | | | | | (18988) all_65_29 = e2
% 176.23/27.21 | | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (18987), (18988) imply:
% 176.23/27.21 | | | | | | | | | | | | | | | | | | (18989) all_61_12 = e2
% 176.23/27.21 | | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | | SIMP: (18989) implies:
% 176.23/27.21 | | | | | | | | | | | | | | | | | | (18990) all_61_12 = e2
% 176.23/27.21 | | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | | REDUCE: (18833), (18990) imply:
% 176.23/27.21 | | | | | | | | | | | | | | | | | | (18991) $false
% 176.23/27.21 | | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | | CLOSE: (18991) is inconsistent.
% 176.23/27.21 | | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | End of split
% 176.23/27.21 | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | Case 2:
% 176.23/27.21 | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | (18992) all_58_2 = e2
% 176.23/27.21 | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | REF_CLOSE: (478), (18928), (18992) are inconsistent by
% 176.23/27.21 | | | | | | | | | | | | | | | | | sub-proof #433.
% 176.23/27.21 | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | End of split
% 176.23/27.21 | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | Case 2:
% 176.23/27.21 | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | (18993) all_58_2 = e2
% 176.23/27.21 | | | | | | | | | | | | | | | | (18994) all_58_1 = e1
% 176.23/27.21 | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | REF_CLOSE: (9), (50), (229), (232), (478), (481), (659),
% 176.23/27.21 | | | | | | | | | | | | | | | | (724), (731), (748), (17773), (18832), (18993),
% 176.23/27.21 | | | | | | | | | | | | | | | | (18994) are inconsistent by sub-proof #70.
% 176.23/27.21 | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | End of split
% 176.23/27.21 | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | End of split
% 176.23/27.21 | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | Case 2:
% 176.23/27.21 | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | (18995) all_28_2 = e3
% 176.23/27.21 | | | | | | | | | | | | | | (18996) op(e0, e3) = all_28_1 & $i(all_28_1) & ( ~
% 176.23/27.21 | | | | | | | | | | | | | | (all_28_1 = e2) | ( ~ (all_28_0 = e1) & op(e2,
% 176.23/27.21 | | | | | | | | | | | | | | e0) = all_28_0 & $i(all_28_0)))
% 176.23/27.21 | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | ALPHA: (18996) implies:
% 176.23/27.21 | | | | | | | | | | | | | | (18997) op(e0, e3) = all_28_1
% 176.23/27.21 | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | COMBINE_EQS: (563), (18995) imply:
% 176.23/27.21 | | | | | | | | | | | | | | (18998) all_20_2 = e3
% 176.23/27.21 | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | COMBINE_EQS: (555), (18998) imply:
% 176.23/27.21 | | | | | | | | | | | | | | (18999) all_34_2 = e3
% 176.23/27.21 | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | REDUCE: (696), (18998) imply:
% 176.23/27.21 | | | | | | | | | | | | | | (19000) op(e3, e1) = all_65_77
% 176.23/27.21 | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | REDUCE: (697), (18998) imply:
% 176.23/27.21 | | | | | | | | | | | | | | (19001) op(e3, e0) = all_65_78
% 176.23/27.21 | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | REDUCE: (730), (18998) imply:
% 176.23/27.21 | | | | | | | | | | | | | | (19002) op(e2, e3) = all_65_31
% 176.23/27.21 | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | REDUCE: (747), (18998) imply:
% 176.23/27.21 | | | | | | | | | | | | | | (19003) op(e1, e3) = all_65_47
% 176.23/27.21 | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | REDUCE: (764), (18998) imply:
% 176.23/27.21 | | | | | | | | | | | | | | (19004) op(e0, e3) = all_65_78
% 176.23/27.21 | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | REDUCE: (76), (18998) imply:
% 176.23/27.21 | | | | | | | | | | | | | | (19005) op(e0, e0) = e3
% 176.23/27.21 | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | BETA: splitting (98) gives:
% 176.23/27.21 | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | Case 1:
% 176.23/27.21 | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | (19006) ~ (all_34_2 = e3)
% 176.23/27.21 | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | REDUCE: (18999), (19006) imply:
% 176.23/27.21 | | | | | | | | | | | | | | | (19007) $false
% 176.23/27.21 | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | CLOSE: (19007) is inconsistent.
% 176.23/27.21 | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | Case 2:
% 176.23/27.21 | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | (19008) op(e0, e3) = all_34_1 & $i(all_34_1) & ( ~
% 176.23/27.21 | | | | | | | | | | | | | | | (all_34_1 = e1) | ( ~ (all_34_0 = e2) & op(e1,
% 176.23/27.21 | | | | | | | | | | | | | | | e0) = all_34_0 & $i(all_34_0)))
% 176.23/27.21 | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | ALPHA: (19008) implies:
% 176.23/27.21 | | | | | | | | | | | | | | | (19009) op(e0, e3) = all_34_1
% 176.23/27.21 | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_3, all_28_1, e3,
% 176.23/27.21 | | | | | | | | | | | | | | | e0, simplifying with (226), (18997) gives:
% 176.23/27.21 | | | | | | | | | | | | | | | (19010) all_61_3 = all_28_1
% 176.23/27.21 | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_3, all_65_78, e3,
% 176.23/27.21 | | | | | | | | | | | | | | | e0, simplifying with (226), (19004) gives:
% 176.23/27.21 | | | | | | | | | | | | | | | (19011) all_65_78 = all_61_3
% 176.23/27.21 | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_34_1, all_65_78, e3,
% 176.23/27.21 | | | | | | | | | | | | | | | e0, simplifying with (19004), (19009) gives:
% 176.23/27.21 | | | | | | | | | | | | | | | (19012) all_65_78 = all_34_1
% 176.23/27.21 | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_2, all_65_47, e3,
% 176.23/27.21 | | | | | | | | | | | | | | | e1, simplifying with (230), (19003) gives:
% 176.23/27.21 | | | | | | | | | | | | | | | (19013) all_65_47 = all_61_2
% 176.23/27.21 | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_6_1, all_65_31, e3,
% 176.23/27.21 | | | | | | | | | | | | | | | e2, simplifying with (17699), (19002) gives:
% 176.23/27.21 | | | | | | | | | | | | | | | (19014) all_65_31 = all_6_1
% 176.23/27.21 | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_12, all_65_78, e0,
% 176.23/27.21 | | | | | | | | | | | | | | | e3, simplifying with (235), (19001) gives:
% 176.23/27.21 | | | | | | | | | | | | | | | (19015) all_65_78 = all_61_12
% 176.23/27.21 | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_8, all_65_77, e1,
% 176.23/27.21 | | | | | | | | | | | | | | | e3, simplifying with (236), (19000) gives:
% 176.23/27.21 | | | | | | | | | | | | | | | (19016) all_65_77 = all_61_8
% 176.23/27.21 | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | COMBINE_EQS: (19011), (19012) imply:
% 176.23/27.21 | | | | | | | | | | | | | | | (19017) all_61_3 = all_34_1
% 176.23/27.21 | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | SIMP: (19017) implies:
% 176.23/27.21 | | | | | | | | | | | | | | | (19018) all_61_3 = all_34_1
% 176.23/27.21 | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | COMBINE_EQS: (19012), (19015) imply:
% 176.23/27.21 | | | | | | | | | | | | | | | (19019) all_61_12 = all_34_1
% 176.23/27.21 | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | SIMP: (19019) implies:
% 176.23/27.21 | | | | | | | | | | | | | | | (19020) all_61_12 = all_34_1
% 176.23/27.21 | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | COMBINE_EQS: (19010), (19018) imply:
% 176.23/27.21 | | | | | | | | | | | | | | | (19021) all_34_1 = all_28_1
% 176.23/27.21 | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | COMBINE_EQS: (19020), (19021) imply:
% 176.23/27.21 | | | | | | | | | | | | | | | (19022) all_61_12 = all_28_1
% 176.23/27.21 | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | COMBINE_EQS: (506), (19010) imply:
% 176.23/27.21 | | | | | | | | | | | | | | | (19023) all_63_12 = all_28_1
% 176.23/27.21 | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | REDUCE: (187), (19022) imply:
% 176.23/27.21 | | | | | | | | | | | | | | | (19024) ~ (all_61_8 = all_28_1)
% 176.23/27.21 | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | REDUCE: (179), (19022) imply:
% 176.23/27.21 | | | | | | | | | | | | | | | (19025) ~ (all_61_14 = all_28_1)
% 176.23/27.21 | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | SIMP: (19025) implies:
% 176.23/27.21 | | | | | | | | | | | | | | | (19026) ~ (all_61_14 = all_28_1)
% 176.23/27.21 | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | REDUCE: (17755), (19022) imply:
% 176.23/27.21 | | | | | | | | | | | | | | | (19027) ~ (all_28_1 = all_6_1)
% 176.23/27.21 | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | REDUCE: (18833), (19022) imply:
% 176.23/27.21 | | | | | | | | | | | | | | | (19028) ~ (all_28_1 = e2)
% 176.23/27.21 | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | REDUCE: (18860), (19010) imply:
% 176.23/27.21 | | | | | | | | | | | | | | | (19029) op(all_28_1, e3) = all_61_7
% 176.23/27.21 | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | REDUCE: (646), (19022) imply:
% 176.23/27.21 | | | | | | | | | | | | | | | (19030) op(all_28_1, e3) = all_65_12
% 176.23/27.21 | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | REDUCE: (665), (19014) imply:
% 176.23/27.21 | | | | | | | | | | | | | | | (19031) op(all_61_13, e0) = all_6_1
% 176.23/27.21 | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | REDUCE: (710), (19010) imply:
% 176.23/27.21 | | | | | | | | | | | | | | | (19032) op(e3, all_28_1) = all_65_12
% 176.23/27.21 | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | REDUCE: (18861), (19022) imply:
% 176.23/27.21 | | | | | | | | | | | | | | | (19033) op(e3, all_28_1) = all_61_13
% 176.23/27.21 | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_13, all_65_12,
% 176.23/27.21 | | | | | | | | | | | | | | | all_28_1, e3, simplifying with (19032), (19033)
% 176.23/27.21 | | | | | | | | | | | | | | | gives:
% 176.23/27.21 | | | | | | | | | | | | | | | (19034) all_65_12 = all_61_13
% 176.23/27.21 | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_7, all_65_12, e3,
% 176.23/27.21 | | | | | | | | | | | | | | | all_28_1, simplifying with (19029), (19030) gives:
% 176.23/27.21 | | | | | | | | | | | | | | | (19035) all_65_12 = all_61_7
% 176.23/27.21 | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | COMBINE_EQS: (19034), (19035) imply:
% 176.23/27.21 | | | | | | | | | | | | | | | (19036) all_61_7 = all_61_13
% 176.23/27.21 | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | REDUCE: (689), (19036) imply:
% 176.23/27.21 | | | | | | | | | | | | | | | (19037) op(all_61_13, e0) = all_65_63
% 176.23/27.21 | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_6_1, all_65_63, e0,
% 176.23/27.21 | | | | | | | | | | | | | | | all_61_13, simplifying with (19031), (19037)
% 176.23/27.21 | | | | | | | | | | | | | | | gives:
% 176.23/27.21 | | | | | | | | | | | | | | | (19038) all_65_63 = all_6_1
% 176.23/27.21 | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | BETA: splitting (161) gives:
% 176.23/27.21 | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | Case 1:
% 176.23/27.21 | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | (19039) ~ (all_58_2 = e2)
% 176.23/27.21 | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | REDUCE: (478), (19039) imply:
% 176.23/27.21 | | | | | | | | | | | | | | | | (19040) ~ (all_52_2 = e2)
% 176.23/27.21 | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | BETA: splitting (167) gives:
% 176.23/27.21 | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | Case 1:
% 176.23/27.21 | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | (19041) ~ (all_58_0 = e1)
% 176.23/27.21 | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | REDUCE: (484), (19041) imply:
% 176.23/27.21 | | | | | | | | | | | | | | | | | (19042) ~ (all_52_0 = e1)
% 176.23/27.21 | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | BETA: splitting (162) gives:
% 176.23/27.21 | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | Case 1:
% 176.23/27.21 | | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | | (19043) ~ (all_58_2 = e3)
% 176.23/27.21 | | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | | REDUCE: (478), (19043) imply:
% 176.23/27.21 | | | | | | | | | | | | | | | | | | (19044) ~ (all_52_2 = e3)
% 176.23/27.21 | | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | | BETA: splitting (157) gives:
% 176.23/27.21 | | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | | Case 1:
% 176.23/27.21 | | | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | (19045) ~ (all_58_3 = e1)
% 176.23/27.21 | | | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | REDUCE: (475), (19045) imply:
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | (19046) ~ (all_52_3 = e1)
% 176.23/27.21 | | | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | BETA: splitting (160) gives:
% 176.23/27.21 | | | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | Case 1:
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | (19047) ~ (all_58_2 = e0)
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | REDUCE: (478), (19047) imply:
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | (19048) ~ (all_52_2 = e0)
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | BETA: splitting (149) gives:
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | (19049) all_56_2 = e3
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (538), (19044), (19049) are inconsistent by
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | sub-proof #482.
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | (19050) all_56_2 = e2 | all_56_2 = e1 | all_56_2 = e0
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19050) gives:
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | | (19051) all_56_2 = e2
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (538), (19040), (19051) are inconsistent by
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | | sub-proof #481.
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | | (19052) all_56_2 = e1 | all_56_2 = e0
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19052) gives:
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | | | (19053) all_56_2 = e1
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (538), (19053) imply:
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | | | (19054) all_52_2 = e1
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (19054) implies:
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | | | (19055) all_52_2 = e1
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (748), (19055) imply:
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | | | (19056) op(e1, e1) = unit
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e1, unit, e1, e1,
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (18034), (19056) gives:
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | | | (19057) unit = e1
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7), (19057) imply:
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | | | (19058) op(e1, e0) = e0
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6), (19057) imply:
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | | | (19059) op(e3, e1) = e3
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5), (19057) imply:
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | | | (19060) op(e2, e1) = e2
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_14, e0, e0, e1,
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (227), (19058) gives:
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | | | (19061) all_61_14 = e0
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_9, e2, e1, e2,
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (232), (19060) gives:
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | | | (19062) all_61_9 = e2
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_8, e3, e1, e3,
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (236), (19059) gives:
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | | | (19063) all_61_8 = e3
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (19024), (19063) imply:
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | | | (19064) ~ (all_28_1 = e3)
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (19064) implies:
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | | | (19065) ~ (all_28_1 = e3)
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17753), (19063) imply:
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | | | (19066) ~ (all_6_1 = e3)
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (19026), (19061) imply:
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | | | (19067) ~ (all_28_1 = e0)
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (19067) implies:
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | | | (19068) ~ (all_28_1 = e0)
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (259) gives:
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | | | | (19069) all_63_12 = e3
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (19023), (19069) imply:
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | | | | (19070) all_28_1 = e3
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (19070) implies:
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | | | | (19071) all_28_1 = e3
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (19065), (19071) imply:
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | | | | (19072) $false
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (19072) is inconsistent.
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | | | | (19073) all_63_12 = e2 | all_63_12 = e1 | all_63_12 = e0
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19073) gives:
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | (19074) all_63_12 = e2
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (19023), (19074) imply:
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | (19075) all_28_1 = e2
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (19075) implies:
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | (19076) all_28_1 = e2
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (19028), (19076) imply:
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | (19077) $false
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (19077) is inconsistent.
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | (19078) all_63_12 = e1 | all_63_12 = e0
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19078) gives:
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | (19079) all_63_12 = e1
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (19023), (19079) imply:
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | (19080) all_28_1 = e1
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (19080) implies:
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | (19081) all_28_1 = e1
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (19027), (19081) imply:
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | (19082) ~ (all_6_1 = e1)
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (19082) implies:
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | (19083) ~ (all_6_1 = e1)
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18997), (19081) imply:
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | (19084) op(e0, e3) = e1
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (50), (267), (17738), (17758), (18830), (18835),
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | (18858), (19083), (19084) are inconsistent by
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #69.
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | (19085) all_63_12 = e0
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (19023), (19085) imply:
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | (19086) all_28_1 = e0
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (19086) implies:
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | (19087) all_28_1 = e0
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (19068), (19087) imply:
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | (19088) $false
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (19088) is inconsistent.
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | | | (19089) all_56_2 = e0
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (538), (19048), (19089) are inconsistent by
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #480.
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | | End of split
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | End of split
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | Case 2:
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | (19090) all_58_3 = e1
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (475), (19046), (19090) are inconsistent by
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | | sub-proof #460.
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | End of split
% 176.23/27.21 | | | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | | Case 2:
% 176.23/27.21 | | | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | (19091) all_58_3 = e1
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | (19092) all_58_2 = e0
% 176.23/27.21 | | | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (50), (224), (227), (475), (478), (680),
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | (748), (765), (18027), (18045), (19091), (19092)
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #463.
% 176.23/27.21 | | | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | | End of split
% 176.23/27.21 | | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | Case 2:
% 176.23/27.21 | | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | | (19093) all_58_0 = e1
% 176.23/27.21 | | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | | REF_CLOSE: (484), (19042), (19093) are inconsistent by
% 176.23/27.21 | | | | | | | | | | | | | | | | | | sub-proof #470.
% 176.23/27.21 | | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | End of split
% 176.23/27.21 | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | Case 2:
% 176.23/27.21 | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | (19094) all_58_2 = e3
% 176.23/27.21 | | | | | | | | | | | | | | | | | (19095) all_58_0 = e1
% 176.23/27.21 | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | COMBINE_EQS: (484), (19095) imply:
% 176.23/27.21 | | | | | | | | | | | | | | | | | (19096) all_52_0 = e1
% 176.23/27.21 | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | SIMP: (19096) implies:
% 176.23/27.21 | | | | | | | | | | | | | | | | | (19097) all_52_0 = e1
% 176.23/27.21 | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | COMBINE_EQS: (478), (19094) imply:
% 176.23/27.21 | | | | | | | | | | | | | | | | | (19098) all_52_2 = e3
% 176.23/27.21 | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | SIMP: (19098) implies:
% 176.23/27.21 | | | | | | | | | | | | | | | | | (19099) all_52_2 = e3
% 176.23/27.21 | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | REDUCE: (630), (19097) imply:
% 176.23/27.21 | | | | | | | | | | | | | | | | | (19100) ~ (all_52_3 = e1)
% 176.23/27.21 | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | SIMP: (19100) implies:
% 176.23/27.21 | | | | | | | | | | | | | | | | | (19101) ~ (all_52_3 = e1)
% 176.23/27.21 | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | REDUCE: (633), (19099) imply:
% 176.23/27.21 | | | | | | | | | | | | | | | | | (19102) ~ (all_52_3 = e3)
% 176.23/27.21 | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | SIMP: (19102) implies:
% 176.23/27.21 | | | | | | | | | | | | | | | | | (19103) ~ (all_52_3 = e3)
% 176.23/27.21 | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | REDUCE: (714), (19097) imply:
% 176.23/27.21 | | | | | | | | | | | | | | | | | (19104) op(e3, e1) = unit
% 176.23/27.21 | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | REDUCE: (748), (19099) imply:
% 176.23/27.21 | | | | | | | | | | | | | | | | | (19105) op(e1, e3) = unit
% 176.23/27.21 | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_2, unit, e3, e1,
% 176.23/27.21 | | | | | | | | | | | | | | | | | simplifying with (230), (19105) gives:
% 176.23/27.21 | | | | | | | | | | | | | | | | | (19106) all_61_2 = unit
% 176.23/27.21 | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_8, unit, e1, e3,
% 176.23/27.21 | | | | | | | | | | | | | | | | | simplifying with (236), (19104) gives:
% 176.23/27.21 | | | | | | | | | | | | | | | | | (19107) all_61_8 = unit
% 176.23/27.21 | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | COMBINE_EQS: (499), (19106) imply:
% 176.23/27.21 | | | | | | | | | | | | | | | | | (19108) all_63_8 = unit
% 176.23/27.21 | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | REDUCE: (17753), (19107) imply:
% 176.23/27.21 | | | | | | | | | | | | | | | | | (19109) ~ (all_6_1 = unit)
% 176.23/27.21 | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | SIMP: (19109) implies:
% 176.23/27.21 | | | | | | | | | | | | | | | | | (19110) ~ (all_6_1 = unit)
% 176.23/27.21 | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | REDUCE: (18832), (19107) imply:
% 176.23/27.21 | | | | | | | | | | | | | | | | | (19111) ~ (unit = e2)
% 176.23/27.21 | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | REDUCE: (18024), (19107) imply:
% 176.23/27.21 | | | | | | | | | | | | | | | | | (19112) ~ (unit = e1)
% 176.23/27.21 | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | BETA: splitting (263) gives:
% 176.23/27.21 | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | Case 1:
% 176.23/27.21 | | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | | (19113) all_63_8 = e3
% 176.23/27.21 | | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (19108), (19113) imply:
% 176.23/27.21 | | | | | | | | | | | | | | | | | | (19114) unit = e3
% 176.23/27.21 | | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | | REDUCE: (18011), (19114) imply:
% 176.23/27.21 | | | | | | | | | | | | | | | | | | (19115) $false
% 176.23/27.21 | | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | | CLOSE: (19115) is inconsistent.
% 176.23/27.21 | | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | Case 2:
% 176.23/27.21 | | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | | (19116) ~ (all_63_8 = e3)
% 176.23/27.21 | | | | | | | | | | | | | | | | | | (19117) all_63_8 = e2 | all_63_8 = e1 | all_63_8 = e0
% 176.23/27.21 | | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | | BETA: splitting (19117) gives:
% 176.23/27.21 | | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | | Case 1:
% 176.23/27.21 | | | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | (19118) all_63_8 = e2
% 176.23/27.21 | | | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (19108), (19118) imply:
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | (19119) unit = e2
% 176.23/27.21 | | | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | REDUCE: (19111), (19119) imply:
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | (19120) $false
% 176.23/27.21 | | | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | CLOSE: (19120) is inconsistent.
% 176.23/27.21 | | | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | | Case 2:
% 176.23/27.21 | | | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | (19121) all_63_8 = e1 | all_63_8 = e0
% 176.23/27.21 | | | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | BETA: splitting (19121) gives:
% 176.23/27.21 | | | | | | | | | | | | | | | | | | |
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | Case 1:
% 176.23/27.21 | | | | | | | | | | | | | | | | | | | |
% 176.23/27.22 | | | | | | | | | | | | | | | | | | | | (19122) all_63_8 = e1
% 176.23/27.22 | | | | | | | | | | | | | | | | | | | |
% 176.23/27.22 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (19108), (19122) imply:
% 176.23/27.22 | | | | | | | | | | | | | | | | | | | | (19123) unit = e1
% 176.23/27.22 | | | | | | | | | | | | | | | | | | | |
% 176.23/27.22 | | | | | | | | | | | | | | | | | | | | REDUCE: (19112), (19123) imply:
% 176.23/27.22 | | | | | | | | | | | | | | | | | | | | (19124) $false
% 176.23/27.22 | | | | | | | | | | | | | | | | | | | |
% 176.23/27.22 | | | | | | | | | | | | | | | | | | | | CLOSE: (19124) is inconsistent.
% 176.23/27.22 | | | | | | | | | | | | | | | | | | | |
% 176.23/27.22 | | | | | | | | | | | | | | | | | | | Case 2:
% 176.23/27.22 | | | | | | | | | | | | | | | | | | | |
% 176.23/27.22 | | | | | | | | | | | | | | | | | | | | (19125) all_63_8 = e0
% 176.23/27.22 | | | | | | | | | | | | | | | | | | | |
% 176.23/27.22 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (19108), (19125) imply:
% 176.23/27.22 | | | | | | | | | | | | | | | | | | | | (19126) unit = e0
% 176.23/27.22 | | | | | | | | | | | | | | | | | | | |
% 176.23/27.22 | | | | | | | | | | | | | | | | | | | | REDUCE: (19110), (19126) imply:
% 176.23/27.22 | | | | | | | | | | | | | | | | | | | | (19127) ~ (all_6_1 = e0)
% 176.23/27.22 | | | | | | | | | | | | | | | | | | | |
% 176.23/27.22 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (50), (148), (158), (163), (231), (475),
% 176.23/27.22 | | | | | | | | | | | | | | | | | | | | (481), (539), (731), (765), (18011), (19005),
% 176.23/27.22 | | | | | | | | | | | | | | | | | | | | (19031), (19101), (19103), (19127) are
% 176.23/27.22 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #81.
% 176.23/27.22 | | | | | | | | | | | | | | | | | | | |
% 176.23/27.22 | | | | | | | | | | | | | | | | | | | End of split
% 176.23/27.22 | | | | | | | | | | | | | | | | | | |
% 176.23/27.22 | | | | | | | | | | | | | | | | | | End of split
% 176.23/27.22 | | | | | | | | | | | | | | | | | |
% 176.23/27.22 | | | | | | | | | | | | | | | | | End of split
% 176.23/27.22 | | | | | | | | | | | | | | | | |
% 176.23/27.22 | | | | | | | | | | | | | | | | End of split
% 176.23/27.22 | | | | | | | | | | | | | | | |
% 176.23/27.22 | | | | | | | | | | | | | | | Case 2:
% 176.23/27.22 | | | | | | | | | | | | | | | |
% 176.23/27.22 | | | | | | | | | | | | | | | | (19128) all_58_2 = e2
% 176.23/27.22 | | | | | | | | | | | | | | | | (19129) all_58_1 = e1
% 176.23/27.22 | | | | | | | | | | | | | | | |
% 176.23/27.22 | | | | | | | | | | | | | | | | REF_CLOSE: (9), (50), (229), (232), (478), (481), (659),
% 176.23/27.22 | | | | | | | | | | | | | | | | (724), (731), (748), (17773), (18832), (19128),
% 176.23/27.22 | | | | | | | | | | | | | | | | (19129) are inconsistent by sub-proof #70.
% 176.23/27.22 | | | | | | | | | | | | | | | |
% 176.23/27.22 | | | | | | | | | | | | | | | End of split
% 176.23/27.22 | | | | | | | | | | | | | | |
% 176.23/27.22 | | | | | | | | | | | | | | End of split
% 176.23/27.22 | | | | | | | | | | | | | |
% 176.23/27.22 | | | | | | | | | | | | | End of split
% 176.23/27.22 | | | | | | | | | | | | |
% 176.23/27.22 | | | | | | | | | | | | Case 2:
% 176.23/27.22 | | | | | | | | | | | | |
% 176.23/27.22 | | | | | | | | | | | | | (19130) all_20_2 = e2
% 176.23/27.22 | | | | | | | | | | | | | (19131) op(e0, e2) = all_20_1 & $i(all_20_1) & ( ~
% 176.23/27.22 | | | | | | | | | | | | | (all_20_1 = e1) | ( ~ (all_20_0 = e3) & op(e1,
% 176.23/27.22 | | | | | | | | | | | | | e0) = all_20_0 & $i(all_20_0)))
% 176.23/27.22 | | | | | | | | | | | | |
% 176.23/27.22 | | | | | | | | | | | | | ALPHA: (19131) implies:
% 176.23/27.22 | | | | | | | | | | | | | (19132) op(e0, e2) = all_20_1
% 176.23/27.22 | | | | | | | | | | | | |
% 176.23/27.22 | | | | | | | | | | | | | COMBINE_EQS: (581), (19130) imply:
% 176.23/27.22 | | | | | | | | | | | | | (19133) all_46_2 = e2
% 176.23/27.22 | | | | | | | | | | | | |
% 176.23/27.22 | | | | | | | | | | | | | REDUCE: (606), (19130) imply:
% 176.23/27.22 | | | | | | | | | | | | | (19134) ~ (all_61_3 = e2)
% 176.23/27.22 | | | | | | | | | | | | |
% 176.23/27.22 | | | | | | | | | | | | | REDUCE: (624), (19130) imply:
% 176.23/27.22 | | | | | | | | | | | | | (19135) ~ (all_61_11 = e2)
% 176.23/27.22 | | | | | | | | | | | | |
% 176.23/27.22 | | | | | | | | | | | | | REDUCE: (696), (19130) imply:
% 176.23/27.22 | | | | | | | | | | | | | (19136) op(e2, e1) = all_65_77
% 176.23/27.22 | | | | | | | | | | | | |
% 176.23/27.22 | | | | | | | | | | | | | REDUCE: (697), (19130) imply:
% 176.23/27.22 | | | | | | | | | | | | | (19137) op(e2, e0) = all_65_78
% 176.23/27.22 | | | | | | | | | | | | |
% 176.23/27.22 | | | | | | | | | | | | | REDUCE: (747), (19130) imply:
% 176.23/27.22 | | | | | | | | | | | | | (19138) op(e1, e2) = all_65_47
% 176.23/27.22 | | | | | | | | | | | | |
% 176.23/27.22 | | | | | | | | | | | | | REDUCE: (764), (19130) imply:
% 176.23/27.22 | | | | | | | | | | | | | (19139) op(e0, e2) = all_65_78
% 176.23/27.22 | | | | | | | | | | | | |
% 176.23/27.22 | | | | | | | | | | | | | BETA: splitting (116) gives:
% 176.23/27.22 | | | | | | | | | | | | |
% 176.23/27.22 | | | | | | | | | | | | | Case 1:
% 176.23/27.22 | | | | | | | | | | | | | |
% 176.23/27.22 | | | | | | | | | | | | | | (19140) ~ (all_46_2 = e2)
% 176.28/27.22 | | | | | | | | | | | | | |
% 176.28/27.22 | | | | | | | | | | | | | | REDUCE: (19133), (19140) imply:
% 176.28/27.22 | | | | | | | | | | | | | | (19141) $false
% 176.28/27.22 | | | | | | | | | | | | | |
% 176.28/27.22 | | | | | | | | | | | | | | CLOSE: (19141) is inconsistent.
% 176.28/27.22 | | | | | | | | | | | | | |
% 176.28/27.22 | | | | | | | | | | | | | Case 2:
% 176.28/27.22 | | | | | | | | | | | | | |
% 176.28/27.22 | | | | | | | | | | | | | | (19142) op(e0, e2) = all_46_1 & $i(all_46_1) & ( ~
% 176.28/27.22 | | | | | | | | | | | | | | (all_46_1 = e3) | ( ~ (all_46_0 = e1) & op(e3,
% 176.28/27.22 | | | | | | | | | | | | | | e0) = all_46_0 & $i(all_46_0)))
% 176.28/27.22 | | | | | | | | | | | | | |
% 176.28/27.22 | | | | | | | | | | | | | | ALPHA: (19142) implies:
% 176.28/27.22 | | | | | | | | | | | | | | (19143) op(e0, e2) = all_46_1
% 176.28/27.22 | | | | | | | | | | | | | |
% 176.28/27.22 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_7, all_20_1, e2,
% 176.28/27.22 | | | | | | | | | | | | | | e0, simplifying with (225), (19132) gives:
% 176.28/27.22 | | | | | | | | | | | | | | (19144) all_61_7 = all_20_1
% 176.28/27.22 | | | | | | | | | | | | | |
% 176.28/27.22 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_7, all_46_1, e2,
% 176.28/27.22 | | | | | | | | | | | | | | e0, simplifying with (225), (19143) gives:
% 176.28/27.22 | | | | | | | | | | | | | | (19145) all_61_7 = all_46_1
% 176.28/27.22 | | | | | | | | | | | | | |
% 176.28/27.22 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_7, all_65_78, e2,
% 176.28/27.22 | | | | | | | | | | | | | | e0, simplifying with (225), (19139) gives:
% 176.28/27.22 | | | | | | | | | | | | | | (19146) all_65_78 = all_61_7
% 176.28/27.22 | | | | | | | | | | | | | |
% 176.28/27.22 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_6, all_65_47, e2,
% 176.28/27.22 | | | | | | | | | | | | | | e1, simplifying with (229), (19138) gives:
% 176.28/27.22 | | | | | | | | | | | | | | (19147) all_65_47 = all_61_6
% 176.28/27.22 | | | | | | | | | | | | | |
% 176.28/27.22 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_13, all_65_78, e0,
% 176.28/27.22 | | | | | | | | | | | | | | e2, simplifying with (231), (19137) gives:
% 176.28/27.22 | | | | | | | | | | | | | | (19148) all_65_78 = all_61_13
% 176.28/27.22 | | | | | | | | | | | | | |
% 176.28/27.22 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_9, all_65_77, e1,
% 176.28/27.22 | | | | | | | | | | | | | | e2, simplifying with (232), (19136) gives:
% 176.28/27.22 | | | | | | | | | | | | | | (19149) all_65_77 = all_61_9
% 176.28/27.22 | | | | | | | | | | | | | |
% 176.28/27.22 | | | | | | | | | | | | | | COMBINE_EQS: (19146), (19148) imply:
% 176.28/27.22 | | | | | | | | | | | | | | (19150) all_61_7 = all_61_13
% 176.28/27.22 | | | | | | | | | | | | | |
% 176.28/27.22 | | | | | | | | | | | | | | SIMP: (19150) implies:
% 176.28/27.22 | | | | | | | | | | | | | | (19151) all_61_7 = all_61_13
% 176.28/27.22 | | | | | | | | | | | | | |
% 176.28/27.22 | | | | | | | | | | | | | | COMBINE_EQS: (19145), (19151) imply:
% 176.28/27.22 | | | | | | | | | | | | | | (19152) all_61_13 = all_46_1
% 176.28/27.22 | | | | | | | | | | | | | |
% 176.28/27.22 | | | | | | | | | | | | | | COMBINE_EQS: (19144), (19151) imply:
% 176.28/27.22 | | | | | | | | | | | | | | (19153) all_61_13 = all_20_1
% 176.28/27.22 | | | | | | | | | | | | | |
% 176.28/27.22 | | | | | | | | | | | | | | COMBINE_EQS: (19152), (19153) imply:
% 176.28/27.22 | | | | | | | | | | | | | | (19154) all_46_1 = all_20_1
% 176.28/27.22 | | | | | | | | | | | | | |
% 176.28/27.22 | | | | | | | | | | | | | | COMBINE_EQS: (498), (19153) imply:
% 176.28/27.22 | | | | | | | | | | | | | | (19155) all_63_7 = all_20_1
% 176.28/27.22 | | | | | | | | | | | | | |
% 176.28/27.22 | | | | | | | | | | | | | | REDUCE: (207), (19144) imply:
% 176.28/27.22 | | | | | | | | | | | | | | (19156) ~ (all_61_3 = all_20_1)
% 176.28/27.22 | | | | | | | | | | | | | |
% 176.28/27.22 | | | | | | | | | | | | | | REDUCE: (184), (19153) imply:
% 176.28/27.22 | | | | | | | | | | | | | | (19157) ~ (all_61_9 = all_20_1)
% 176.28/27.22 | | | | | | | | | | | | | |
% 176.28/27.22 | | | | | | | | | | | | | | REDUCE: (177), (19153) imply:
% 176.28/27.22 | | | | | | | | | | | | | | (19158) ~ (all_61_14 = all_20_1)
% 176.28/27.22 | | | | | | | | | | | | | |
% 176.28/27.22 | | | | | | | | | | | | | | SIMP: (19158) implies:
% 176.28/27.22 | | | | | | | | | | | | | | (19159) ~ (all_61_14 = all_20_1)
% 176.28/27.22 | | | | | | | | | | | | | |
% 176.28/27.22 | | | | | | | | | | | | | | REDUCE: (17706), (19153) imply:
% 176.28/27.22 | | | | | | | | | | | | | | (19160) ~ (all_20_1 = e3)
% 176.28/27.22 | | | | | | | | | | | | | |
% 176.28/27.22 | | | | | | | | | | | | | | REDUCE: (17768), (19144) imply:
% 176.28/27.22 | | | | | | | | | | | | | | (19161) op(all_20_1, e2) = all_61_3
% 176.28/27.22 | | | | | | | | | | | | | |
% 176.28/27.22 | | | | | | | | | | | | | | REDUCE: (663), (19153) imply:
% 176.28/27.22 | | | | | | | | | | | | | | (19162) op(all_20_1, e2) = all_65_29
% 176.28/27.22 | | | | | | | | | | | | | |
% 176.28/27.22 | | | | | | | | | | | | | | REDUCE: (728), (19144) imply:
% 176.28/27.22 | | | | | | | | | | | | | | (19163) op(e2, all_20_1) = all_65_29
% 176.28/27.22 | | | | | | | | | | | | | |
% 176.28/27.22 | | | | | | | | | | | | | | REDUCE: (17774), (19153) imply:
% 176.28/27.22 | | | | | | | | | | | | | | (19164) op(e2, all_20_1) = all_61_12
% 176.28/27.22 | | | | | | | | | | | | | |
% 176.28/27.22 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_12, all_65_29,
% 176.28/27.22 | | | | | | | | | | | | | | all_20_1, e2, simplifying with (19163), (19164)
% 176.28/27.22 | | | | | | | | | | | | | | gives:
% 176.28/27.22 | | | | | | | | | | | | | | (19165) all_65_29 = all_61_12
% 176.28/27.22 | | | | | | | | | | | | | |
% 176.28/27.22 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_3, all_65_29, e2,
% 176.28/27.22 | | | | | | | | | | | | | | all_20_1, simplifying with (19161), (19162) gives:
% 176.28/27.22 | | | | | | | | | | | | | | (19166) all_65_29 = all_61_3
% 176.28/27.22 | | | | | | | | | | | | | |
% 176.28/27.22 | | | | | | | | | | | | | | COMBINE_EQS: (19165), (19166) imply:
% 176.28/27.22 | | | | | | | | | | | | | | (19167) all_61_3 = all_61_12
% 176.28/27.22 | | | | | | | | | | | | | |
% 176.28/27.22 | | | | | | | | | | | | | | COMBINE_EQS: (506), (19167) imply:
% 176.28/27.22 | | | | | | | | | | | | | | (19168) all_63_12 = all_61_12
% 176.28/27.22 | | | | | | | | | | | | | |
% 176.28/27.22 | | | | | | | | | | | | | | REDUCE: (206), (19167) imply:
% 176.28/27.22 | | | | | | | | | | | | | | (19169) ~ (all_61_11 = all_61_12)
% 176.28/27.22 | | | | | | | | | | | | | |
% 176.28/27.22 | | | | | | | | | | | | | | SIMP: (19169) implies:
% 176.28/27.22 | | | | | | | | | | | | | | (19170) ~ (all_61_11 = all_61_12)
% 176.28/27.22 | | | | | | | | | | | | | |
% 176.28/27.22 | | | | | | | | | | | | | | REDUCE: (19156), (19167) imply:
% 176.28/27.22 | | | | | | | | | | | | | | (19171) ~ (all_61_12 = all_20_1)
% 176.28/27.22 | | | | | | | | | | | | | |
% 176.28/27.22 | | | | | | | | | | | | | | BETA: splitting (164) gives:
% 176.28/27.22 | | | | | | | | | | | | | |
% 176.28/27.22 | | | | | | | | | | | | | | Case 1:
% 176.28/27.22 | | | | | | | | | | | | | | |
% 176.28/27.22 | | | | | | | | | | | | | | | (19172) ~ (all_58_1 = e1)
% 176.28/27.22 | | | | | | | | | | | | | | |
% 176.28/27.22 | | | | | | | | | | | | | | | REDUCE: (481), (19172) imply:
% 176.28/27.22 | | | | | | | | | | | | | | | (19173) ~ (all_52_1 = e1)
% 176.28/27.22 | | | | | | | | | | | | | | |
% 176.28/27.22 | | | | | | | | | | | | | | | BETA: splitting (161) gives:
% 176.28/27.22 | | | | | | | | | | | | | | |
% 176.28/27.22 | | | | | | | | | | | | | | | Case 1:
% 176.28/27.22 | | | | | | | | | | | | | | | |
% 176.28/27.22 | | | | | | | | | | | | | | | | (19174) ~ (all_58_2 = e2)
% 176.28/27.22 | | | | | | | | | | | | | | | |
% 176.28/27.22 | | | | | | | | | | | | | | | | REDUCE: (478), (19174) imply:
% 176.28/27.22 | | | | | | | | | | | | | | | | (19175) ~ (all_52_2 = e2)
% 176.28/27.22 | | | | | | | | | | | | | | | |
% 176.28/27.22 | | | | | | | | | | | | | | | | BETA: splitting (167) gives:
% 176.28/27.22 | | | | | | | | | | | | | | | |
% 176.28/27.22 | | | | | | | | | | | | | | | | Case 1:
% 176.28/27.22 | | | | | | | | | | | | | | | | |
% 176.28/27.22 | | | | | | | | | | | | | | | | | (19176) ~ (all_58_0 = e1)
% 176.28/27.22 | | | | | | | | | | | | | | | | |
% 176.28/27.22 | | | | | | | | | | | | | | | | | REDUCE: (484), (19176) imply:
% 176.28/27.22 | | | | | | | | | | | | | | | | | (19177) ~ (all_52_0 = e1)
% 176.28/27.22 | | | | | | | | | | | | | | | | |
% 176.28/27.22 | | | | | | | | | | | | | | | | | BETA: splitting (162) gives:
% 176.28/27.22 | | | | | | | | | | | | | | | | |
% 176.28/27.22 | | | | | | | | | | | | | | | | | Case 1:
% 176.28/27.22 | | | | | | | | | | | | | | | | | |
% 176.28/27.22 | | | | | | | | | | | | | | | | | | (19178) ~ (all_58_2 = e3)
% 176.28/27.22 | | | | | | | | | | | | | | | | | |
% 176.28/27.22 | | | | | | | | | | | | | | | | | | REDUCE: (478), (19178) imply:
% 176.28/27.22 | | | | | | | | | | | | | | | | | | (19179) ~ (all_52_2 = e3)
% 176.28/27.22 | | | | | | | | | | | | | | | | | |
% 176.28/27.22 | | | | | | | | | | | | | | | | | | BETA: splitting (157) gives:
% 176.28/27.22 | | | | | | | | | | | | | | | | | |
% 176.28/27.22 | | | | | | | | | | | | | | | | | | Case 1:
% 176.28/27.22 | | | | | | | | | | | | | | | | | | |
% 176.28/27.22 | | | | | | | | | | | | | | | | | | | (19180) ~ (all_58_3 = e1)
% 176.28/27.22 | | | | | | | | | | | | | | | | | | |
% 176.28/27.22 | | | | | | | | | | | | | | | | | | | REDUCE: (475), (19180) imply:
% 176.28/27.22 | | | | | | | | | | | | | | | | | | | (19181) ~ (all_52_3 = e1)
% 176.28/27.22 | | | | | | | | | | | | | | | | | | |
% 176.28/27.22 | | | | | | | | | | | | | | | | | | | BETA: splitting (160) gives:
% 176.28/27.22 | | | | | | | | | | | | | | | | | | |
% 176.28/27.22 | | | | | | | | | | | | | | | | | | | Case 1:
% 176.28/27.22 | | | | | | | | | | | | | | | | | | | |
% 176.28/27.22 | | | | | | | | | | | | | | | | | | | | (19182) ~ (all_58_2 = e0)
% 176.28/27.22 | | | | | | | | | | | | | | | | | | | |
% 176.28/27.22 | | | | | | | | | | | | | | | | | | | | REDUCE: (478), (19182) imply:
% 176.28/27.22 | | | | | | | | | | | | | | | | | | | | (19183) ~ (all_52_2 = e0)
% 176.28/27.22 | | | | | | | | | | | | | | | | | | | |
% 176.28/27.22 | | | | | | | | | | | | | | | | | | | | BETA: splitting (149) gives:
% 176.28/27.22 | | | | | | | | | | | | | | | | | | | |
% 176.28/27.22 | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.28/27.22 | | | | | | | | | | | | | | | | | | | | |
% 176.28/27.22 | | | | | | | | | | | | | | | | | | | | | (19184) all_56_2 = e3
% 176.28/27.22 | | | | | | | | | | | | | | | | | | | | |
% 176.28/27.22 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (538), (19179), (19184) are inconsistent by
% 176.28/27.22 | | | | | | | | | | | | | | | | | | | | | sub-proof #482.
% 176.28/27.22 | | | | | | | | | | | | | | | | | | | | |
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | |
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | | (19185) all_56_2 = e2 | all_56_2 = e1 | all_56_2 = e0
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | |
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19185) gives:
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | |
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | | |
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | | | (19186) all_56_2 = e2
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | | |
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (538), (19175), (19186) are inconsistent by
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | | | sub-proof #481.
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | | |
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | | |
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | | | (19187) all_56_2 = e1 | all_56_2 = e0
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | | |
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19187) gives:
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | | |
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | | | | (19188) all_56_2 = e1
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (538), (19188) imply:
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | | | | (19189) all_52_2 = e1
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (19189) implies:
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | | | | (19190) all_52_2 = e1
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (748), (19190) imply:
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | | | | (19191) op(e1, e1) = unit
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e1, unit, e1, e1,
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (18034), (19191) gives:
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | | | | (19192) unit = e1
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7), (19192) imply:
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | | | | (19193) op(e1, e0) = e0
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6), (19192) imply:
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | | | | (19194) op(e3, e1) = e3
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5), (19192) imply:
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | | | | (19195) op(e2, e1) = e2
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_14, e0, e0, e1,
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (227), (19193) gives:
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | | | | (19196) all_61_14 = e0
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_9, e2, e1, e2,
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (232), (19195) gives:
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | | | | (19197) all_61_9 = e2
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_8, e3, e1, e3,
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (236), (19194) gives:
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | | | | (19198) all_61_8 = e3
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (187), (19198) imply:
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | | | | (19199) ~ (all_61_12 = e3)
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (19199) implies:
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | | | | (19200) ~ (all_61_12 = e3)
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (19157), (19197) imply:
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | | | | (19201) ~ (all_20_1 = e2)
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (19201) implies:
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | | | | (19202) ~ (all_20_1 = e2)
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (179), (19196) imply:
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | | | | (19203) ~ (all_61_12 = e0)
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (19159), (19196) imply:
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | | | | (19204) ~ (all_20_1 = e0)
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (19204) implies:
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | | | | (19205) ~ (all_20_1 = e0)
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (264) gives:
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | | | | | (19206) all_63_7 = e3
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (19155), (19206) imply:
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | | | | | (19207) all_20_1 = e3
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (19207) implies:
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | | | | | (19208) all_20_1 = e3
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (19160), (19208) imply:
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | | | | | (19209) $false
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (19209) is inconsistent.
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | | | | | (19210) all_63_7 = e2 | all_63_7 = e1 | all_63_7 = e0
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19210) gives:
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | (19211) all_63_7 = e2
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (19155), (19211) imply:
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | (19212) all_20_1 = e2
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (19212) implies:
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | (19213) all_20_1 = e2
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (19202), (19213) imply:
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | (19214) $false
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (19214) is inconsistent.
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | (19215) all_63_7 = e1 | all_63_7 = e0
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19215) gives:
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | (19216) all_63_7 = e1
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (19155), (19216) imply:
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | (19217) all_20_1 = e1
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (19217) implies:
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | (19218) all_20_1 = e1
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (19171), (19218) imply:
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | (19219) ~ (all_61_12 = e1)
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (259), (18833), (19168), (19200), (19203), (19219)
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #188.
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | (19220) all_63_7 = e0
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (19155), (19220) imply:
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | (19221) all_20_1 = e0
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (19221) implies:
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | (19222) all_20_1 = e0
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (19205), (19222) imply:
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | (19223) $false
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (19223) is inconsistent.
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | | | | (19224) all_56_2 = e0
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (538), (19183), (19224) are inconsistent by
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #480.
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | | |
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | | End of split
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | |
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | End of split
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | |
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | Case 2:
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | |
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | (19225) all_58_3 = e1
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | |
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (475), (19181), (19225) are inconsistent by
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | sub-proof #460.
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | |
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | End of split
% 176.29/27.22 | | | | | | | | | | | | | | | | | | |
% 176.29/27.22 | | | | | | | | | | | | | | | | | | Case 2:
% 176.29/27.22 | | | | | | | | | | | | | | | | | | |
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | (19226) all_58_3 = e1
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | (19227) all_58_2 = e0
% 176.29/27.22 | | | | | | | | | | | | | | | | | | |
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (50), (224), (227), (475), (478), (680),
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | (748), (765), (18027), (18045), (19226), (19227)
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #463.
% 176.29/27.22 | | | | | | | | | | | | | | | | | | |
% 176.29/27.22 | | | | | | | | | | | | | | | | | | End of split
% 176.29/27.22 | | | | | | | | | | | | | | | | | |
% 176.29/27.22 | | | | | | | | | | | | | | | | | Case 2:
% 176.29/27.22 | | | | | | | | | | | | | | | | | |
% 176.29/27.22 | | | | | | | | | | | | | | | | | | (19228) all_58_0 = e1
% 176.29/27.22 | | | | | | | | | | | | | | | | | |
% 176.29/27.22 | | | | | | | | | | | | | | | | | | REF_CLOSE: (484), (19177), (19228) are inconsistent by
% 176.29/27.22 | | | | | | | | | | | | | | | | | | sub-proof #470.
% 176.29/27.22 | | | | | | | | | | | | | | | | | |
% 176.29/27.22 | | | | | | | | | | | | | | | | | End of split
% 176.29/27.22 | | | | | | | | | | | | | | | | |
% 176.29/27.22 | | | | | | | | | | | | | | | | Case 2:
% 176.29/27.22 | | | | | | | | | | | | | | | | |
% 176.29/27.22 | | | | | | | | | | | | | | | | | (19229) all_58_0 = e1
% 176.29/27.22 | | | | | | | | | | | | | | | | |
% 176.29/27.22 | | | | | | | | | | | | | | | | | COMBINE_EQS: (484), (19229) imply:
% 176.29/27.22 | | | | | | | | | | | | | | | | | (19230) all_52_0 = e1
% 176.29/27.22 | | | | | | | | | | | | | | | | |
% 176.29/27.22 | | | | | | | | | | | | | | | | | SIMP: (19230) implies:
% 176.29/27.22 | | | | | | | | | | | | | | | | | (19231) all_52_0 = e1
% 176.29/27.22 | | | | | | | | | | | | | | | | |
% 176.29/27.22 | | | | | | | | | | | | | | | | | REDUCE: (714), (19231) imply:
% 176.29/27.22 | | | | | | | | | | | | | | | | | (19232) op(e3, e1) = unit
% 176.29/27.22 | | | | | | | | | | | | | | | | |
% 176.29/27.22 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_8, unit, e1, e3,
% 176.29/27.22 | | | | | | | | | | | | | | | | | simplifying with (236), (19232) gives:
% 176.29/27.22 | | | | | | | | | | | | | | | | | (19233) all_61_8 = unit
% 176.29/27.22 | | | | | | | | | | | | | | | | |
% 176.29/27.22 | | | | | | | | | | | | | | | | | REDUCE: (188), (19233) imply:
% 176.29/27.22 | | | | | | | | | | | | | | | | | (19234) ~ (all_61_11 = unit)
% 176.29/27.22 | | | | | | | | | | | | | | | | |
% 176.29/27.22 | | | | | | | | | | | | | | | | | SIMP: (19234) implies:
% 176.29/27.22 | | | | | | | | | | | | | | | | | (19235) ~ (all_61_11 = unit)
% 176.29/27.22 | | | | | | | | | | | | | | | | |
% 176.29/27.22 | | | | | | | | | | | | | | | | | REDUCE: (187), (19233) imply:
% 176.29/27.22 | | | | | | | | | | | | | | | | | (19236) ~ (all_61_12 = unit)
% 176.29/27.22 | | | | | | | | | | | | | | | | |
% 176.29/27.22 | | | | | | | | | | | | | | | | | SIMP: (19236) implies:
% 176.29/27.22 | | | | | | | | | | | | | | | | | (19237) ~ (all_61_12 = unit)
% 176.29/27.22 | | | | | | | | | | | | | | | | |
% 176.29/27.22 | | | | | | | | | | | | | | | | | REDUCE: (17753), (19233) imply:
% 176.29/27.22 | | | | | | | | | | | | | | | | | (19238) ~ (all_6_1 = unit)
% 176.29/27.22 | | | | | | | | | | | | | | | | |
% 176.29/27.22 | | | | | | | | | | | | | | | | | SIMP: (19238) implies:
% 176.29/27.22 | | | | | | | | | | | | | | | | | (19239) ~ (all_6_1 = unit)
% 176.29/27.22 | | | | | | | | | | | | | | | | |
% 176.29/27.22 | | | | | | | | | | | | | | | | | REDUCE: (18832), (19233) imply:
% 176.29/27.22 | | | | | | | | | | | | | | | | | (19240) ~ (unit = e2)
% 176.29/27.22 | | | | | | | | | | | | | | | | |
% 176.29/27.22 | | | | | | | | | | | | | | | | | REDUCE: (18024), (19233) imply:
% 176.29/27.22 | | | | | | | | | | | | | | | | | (19241) ~ (unit = e1)
% 176.29/27.22 | | | | | | | | | | | | | | | | |
% 176.29/27.22 | | | | | | | | | | | | | | | | | BETA: splitting (18012) gives:
% 176.29/27.22 | | | | | | | | | | | | | | | | |
% 176.29/27.22 | | | | | | | | | | | | | | | | | Case 1:
% 176.29/27.22 | | | | | | | | | | | | | | | | | |
% 176.29/27.22 | | | | | | | | | | | | | | | | | | (19242) unit = e2
% 176.29/27.22 | | | | | | | | | | | | | | | | | |
% 176.29/27.22 | | | | | | | | | | | | | | | | | | REDUCE: (19240), (19242) imply:
% 176.29/27.22 | | | | | | | | | | | | | | | | | | (19243) $false
% 176.29/27.22 | | | | | | | | | | | | | | | | | |
% 176.29/27.22 | | | | | | | | | | | | | | | | | | CLOSE: (19243) is inconsistent.
% 176.29/27.22 | | | | | | | | | | | | | | | | | |
% 176.29/27.22 | | | | | | | | | | | | | | | | | Case 2:
% 176.29/27.22 | | | | | | | | | | | | | | | | | |
% 176.29/27.22 | | | | | | | | | | | | | | | | | | (19244) unit = e1 | unit = e0
% 176.29/27.22 | | | | | | | | | | | | | | | | | |
% 176.29/27.22 | | | | | | | | | | | | | | | | | | BETA: splitting (19244) gives:
% 176.29/27.22 | | | | | | | | | | | | | | | | | |
% 176.29/27.22 | | | | | | | | | | | | | | | | | | Case 1:
% 176.29/27.22 | | | | | | | | | | | | | | | | | | |
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | (19245) unit = e1
% 176.29/27.22 | | | | | | | | | | | | | | | | | | |
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | REDUCE: (19241), (19245) imply:
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | (19246) $false
% 176.29/27.22 | | | | | | | | | | | | | | | | | | |
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | CLOSE: (19246) is inconsistent.
% 176.29/27.22 | | | | | | | | | | | | | | | | | | |
% 176.29/27.22 | | | | | | | | | | | | | | | | | | Case 2:
% 176.29/27.22 | | | | | | | | | | | | | | | | | | |
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | (19247) unit = e0
% 176.29/27.22 | | | | | | | | | | | | | | | | | | |
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | REDUCE: (19235), (19247) imply:
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | (19248) ~ (all_61_11 = e0)
% 176.29/27.22 | | | | | | | | | | | | | | | | | | |
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | REDUCE: (19237), (19247) imply:
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | (19249) ~ (all_61_12 = e0)
% 176.29/27.22 | | | | | | | | | | | | | | | | | | |
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | REDUCE: (19239), (19247) imply:
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | (19250) ~ (all_6_1 = e0)
% 176.29/27.22 | | | | | | | | | | | | | | | | | | |
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | BETA: splitting (257) gives:
% 176.29/27.22 | | | | | | | | | | | | | | | | | | |
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | Case 1:
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | |
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | (19251) all_63_14 = e3
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | |
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (510), (19251) imply:
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | (19252) all_61_11 = e3
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | |
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | REDUCE: (19170), (19252) imply:
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | (19253) ~ (all_61_12 = e3)
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | |
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | SIMP: (19253) implies:
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | (19254) ~ (all_61_12 = e3)
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | |
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | BETA: splitting (270) gives:
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | |
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | |
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | | (19255) all_63_1 = e3
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | |
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (17739), (19255) imply:
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | | (19256) all_6_1 = e3
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | |
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | | REDUCE: (17758), (19256) imply:
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | | (19257) $false
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | |
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | | CLOSE: (19257) is inconsistent.
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | |
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | |
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | | (19258) all_63_1 = e2 | all_63_1 = e1 | all_63_1 = e0
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | |
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19258) gives:
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | |
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | | |
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | | | (19259) all_63_1 = e2
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | | |
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (17739), (19259) imply:
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | | | (19260) all_6_1 = e2
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | | |
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18835), (19260) imply:
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | | | (19261) $false
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | | |
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (19261) is inconsistent.
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | | |
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | | |
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | | | (19262) all_63_1 = e1 | all_63_1 = e0
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | | |
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19262) gives:
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | | |
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | | | | (19263) all_63_1 = e1
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (17739), (19263) imply:
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | | | | (19264) all_6_1 = e1
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17755), (19264) imply:
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | | | | (19265) ~ (all_61_12 = e1)
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (259), (18833), (19168), (19249), (19254), (19265)
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #188.
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | | | | (19266) all_63_1 = e0
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (17739), (19266) imply:
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | | | | (19267) all_6_1 = e0
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (19250), (19267) imply:
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | | | | (19268) $false
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (19268) is inconsistent.
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | | |
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | | End of split
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | |
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | End of split
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | |
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | Case 2:
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | |
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | (19269) all_63_14 = e2 | all_63_14 = e1 | all_63_14 = e0
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | |
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (510), (18026), (19135), (19248), (19269) are
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #517.
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | |
% 176.29/27.22 | | | | | | | | | | | | | | | | | | | End of split
% 176.29/27.22 | | | | | | | | | | | | | | | | | | |
% 176.29/27.22 | | | | | | | | | | | | | | | | | | End of split
% 176.29/27.22 | | | | | | | | | | | | | | | | | |
% 176.29/27.22 | | | | | | | | | | | | | | | | | End of split
% 176.29/27.22 | | | | | | | | | | | | | | | | |
% 176.29/27.22 | | | | | | | | | | | | | | | | End of split
% 176.29/27.22 | | | | | | | | | | | | | | | |
% 176.29/27.22 | | | | | | | | | | | | | | | Case 2:
% 176.29/27.22 | | | | | | | | | | | | | | | |
% 176.29/27.22 | | | | | | | | | | | | | | | | (19270) all_58_1 = e1
% 176.29/27.22 | | | | | | | | | | | | | | | |
% 176.29/27.22 | | | | | | | | | | | | | | | | REF_CLOSE: (481), (19173), (19270) are inconsistent by
% 176.29/27.22 | | | | | | | | | | | | | | | | sub-proof #424.
% 176.29/27.22 | | | | | | | | | | | | | | | |
% 176.29/27.22 | | | | | | | | | | | | | | | End of split
% 176.29/27.22 | | | | | | | | | | | | | | |
% 176.29/27.22 | | | | | | | | | | | | | | Case 2:
% 176.29/27.22 | | | | | | | | | | | | | | |
% 176.29/27.22 | | | | | | | | | | | | | | | (19271) all_58_2 = e2
% 176.29/27.22 | | | | | | | | | | | | | | | (19272) all_58_1 = e1
% 176.29/27.22 | | | | | | | | | | | | | | |
% 176.29/27.22 | | | | | | | | | | | | | | | REF_CLOSE: (9), (50), (229), (232), (478), (481), (659),
% 176.29/27.22 | | | | | | | | | | | | | | | (724), (731), (748), (17773), (18832), (19271),
% 176.29/27.22 | | | | | | | | | | | | | | | (19272) are inconsistent by sub-proof #70.
% 176.29/27.22 | | | | | | | | | | | | | | |
% 176.29/27.22 | | | | | | | | | | | | | | End of split
% 176.29/27.22 | | | | | | | | | | | | | |
% 176.29/27.22 | | | | | | | | | | | | | End of split
% 176.29/27.22 | | | | | | | | | | | | |
% 176.29/27.22 | | | | | | | | | | | | End of split
% 176.29/27.22 | | | | | | | | | | | |
% 176.29/27.22 | | | | | | | | | | | End of split
% 176.29/27.22 | | | | | | | | | | |
% 176.29/27.22 | | | | | | | | | | End of split
% 176.29/27.22 | | | | | | | | | |
% 176.29/27.22 | | | | | | | | | Case 2:
% 176.29/27.22 | | | | | | | | | |
% 176.29/27.22 | | | | | | | | | | (19273) all_63_10 = e0
% 176.29/27.22 | | | | | | | | | |
% 176.29/27.22 | | | | | | | | | | REF_CLOSE: (586), (17795), (19273) are inconsistent by
% 176.29/27.22 | | | | | | | | | | sub-proof #294.
% 176.29/27.22 | | | | | | | | | |
% 176.29/27.22 | | | | | | | | | End of split
% 176.29/27.22 | | | | | | | | |
% 176.29/27.22 | | | | | | | | End of split
% 176.29/27.22 | | | | | | | |
% 176.29/27.22 | | | | | | | End of split
% 176.29/27.22 | | | | | | |
% 176.29/27.22 | | | | | | Case 2:
% 176.29/27.22 | | | | | | |
% 176.29/27.22 | | | | | | | (19274) all_10_2 = e2
% 176.29/27.22 | | | | | | | (19275) op(e1, e2) = all_10_1 & $i(all_10_1) & ( ~ (all_10_1 =
% 176.29/27.22 | | | | | | | e3) | ( ~ (all_10_0 = e0) & op(e3, e1) = all_10_0 &
% 176.29/27.22 | | | | | | | $i(all_10_0)))
% 176.29/27.22 | | | | | | |
% 176.29/27.22 | | | | | | | ALPHA: (19275) implies:
% 176.29/27.22 | | | | | | | (19276) op(e1, e2) = all_10_1
% 176.29/27.22 | | | | | | |
% 176.29/27.22 | | | | | | | COMBINE_EQS: (572), (19274) imply:
% 176.29/27.22 | | | | | | | (19277) all_4_2 = e2
% 176.29/27.22 | | | | | | |
% 176.29/27.22 | | | | | | | COMBINE_EQS: (503), (19277) imply:
% 176.29/27.22 | | | | | | | (19278) all_18_2 = e2
% 176.29/27.22 | | | | | | |
% 176.29/27.22 | | | | | | | REDUCE: (605), (19277) imply:
% 176.29/27.22 | | | | | | | (19279) ~ (all_61_2 = e2)
% 176.29/27.22 | | | | | | |
% 176.29/27.22 | | | | | | | REDUCE: (619), (19277) imply:
% 176.29/27.22 | | | | | | | (19280) ~ (all_61_9 = e2)
% 176.29/27.22 | | | | | | |
% 176.29/27.22 | | | | | | | REDUCE: (621), (19277) imply:
% 176.29/27.22 | | | | | | | (19281) ~ (all_61_11 = e2)
% 176.29/27.22 | | | | | | |
% 176.29/27.22 | | | | | | | REDUCE: (623), (19277) imply:
% 176.29/27.22 | | | | | | | (19282) ~ (all_61_14 = e2)
% 176.29/27.22 | | | | | | |
% 176.29/27.22 | | | | | | | REDUCE: (674), (19277) imply:
% 176.29/27.22 | | | | | | | (19283) op(e2, e3) = all_65_40
% 176.29/27.22 | | | | | | |
% 176.29/27.22 | | | | | | | REDUCE: (675), (19277) imply:
% 176.29/27.22 | | | | | | | (19284) op(e2, e2) = all_65_41
% 176.29/27.22 | | | | | | |
% 176.29/27.22 | | | | | | | REDUCE: (676), (19277) imply:
% 176.29/27.22 | | | | | | | (19285) op(e2, e1) = all_65_42
% 176.29/27.22 | | | | | | |
% 176.29/27.22 | | | | | | | REDUCE: (677), (19277) imply:
% 176.29/27.22 | | | | | | | (19286) op(e2, e0) = all_65_43
% 176.29/27.22 | | | | | | |
% 176.29/27.22 | | | | | | | REDUCE: (708), (19277) imply:
% 176.29/27.23 | | | | | | | (19287) op(e3, e2) = all_65_10
% 176.29/27.23 | | | | | | |
% 176.29/27.23 | | | | | | | REDUCE: (725), (19277) imply:
% 176.29/27.23 | | | | | | | (19288) op(e2, e2) = all_65_26
% 176.29/27.23 | | | | | | |
% 176.29/27.23 | | | | | | | REDUCE: (742), (19277) imply:
% 176.29/27.23 | | | | | | | (19289) op(e1, e2) = all_65_42
% 176.29/27.23 | | | | | | |
% 176.29/27.23 | | | | | | | REDUCE: (52), (19277) imply:
% 176.29/27.23 | | | | | | | (19290) op(e1, e1) = e2
% 176.29/27.23 | | | | | | |
% 176.29/27.23 | | | | | | | REDUCE: (759), (19277) imply:
% 176.29/27.23 | | | | | | | (19291) op(e0, e2) = all_65_69
% 176.29/27.23 | | | | | | |
% 176.29/27.23 | | | | | | | BETA: splitting (74) gives:
% 176.29/27.23 | | | | | | |
% 176.29/27.23 | | | | | | | Case 1:
% 176.29/27.23 | | | | | | | |
% 176.29/27.23 | | | | | | | | (19292) ~ (all_18_2 = e2)
% 176.29/27.23 | | | | | | | |
% 176.29/27.23 | | | | | | | | REDUCE: (19278), (19292) imply:
% 176.29/27.23 | | | | | | | | (19293) $false
% 176.29/27.23 | | | | | | | |
% 176.29/27.23 | | | | | | | | CLOSE: (19293) is inconsistent.
% 176.29/27.23 | | | | | | | |
% 176.29/27.23 | | | | | | | Case 2:
% 176.29/27.23 | | | | | | | |
% 176.29/27.23 | | | | | | | | (19294) op(e1, e2) = all_18_1 & $i(all_18_1) & ( ~ (all_18_1
% 176.29/27.23 | | | | | | | | = e0) | ( ~ (all_18_0 = e3) & op(e0, e1) =
% 176.29/27.23 | | | | | | | | all_18_0 & $i(all_18_0)))
% 176.29/27.23 | | | | | | | |
% 176.29/27.23 | | | | | | | | ALPHA: (19294) implies:
% 176.29/27.23 | | | | | | | | (19295) op(e1, e2) = all_18_1
% 176.29/27.23 | | | | | | | |
% 176.29/27.23 | | | | | | | | GROUND_INST: instantiating (50) with all_61_7, all_65_69, e2,
% 176.29/27.23 | | | | | | | | e0, simplifying with (225), (19291) gives:
% 176.29/27.23 | | | | | | | | (19296) all_65_69 = all_61_7
% 176.29/27.23 | | | | | | | |
% 176.29/27.23 | | | | | | | | GROUND_INST: instantiating (50) with all_61_6, all_10_1, e2, e1,
% 176.29/27.23 | | | | | | | | simplifying with (229), (19276) gives:
% 176.29/27.23 | | | | | | | | (19297) all_61_6 = all_10_1
% 176.29/27.23 | | | | | | | |
% 176.29/27.23 | | | | | | | | GROUND_INST: instantiating (50) with all_61_6, all_65_42, e2,
% 176.29/27.23 | | | | | | | | e1, simplifying with (229), (19289) gives:
% 176.29/27.23 | | | | | | | | (19298) all_65_42 = all_61_6
% 176.29/27.23 | | | | | | | |
% 176.29/27.23 | | | | | | | | GROUND_INST: instantiating (50) with all_18_1, all_65_42, e2,
% 176.29/27.23 | | | | | | | | e1, simplifying with (19289), (19295) gives:
% 176.29/27.23 | | | | | | | | (19299) all_65_42 = all_18_1
% 176.29/27.23 | | | | | | | |
% 176.29/27.23 | | | | | | | | GROUND_INST: instantiating (50) with all_61_13, all_65_43, e0,
% 176.29/27.23 | | | | | | | | e2, simplifying with (231), (19286) gives:
% 176.29/27.23 | | | | | | | | (19300) all_65_43 = all_61_13
% 176.29/27.23 | | | | | | | |
% 176.29/27.23 | | | | | | | | GROUND_INST: instantiating (50) with all_61_9, all_65_42, e1,
% 176.29/27.23 | | | | | | | | e2, simplifying with (232), (19285) gives:
% 176.29/27.23 | | | | | | | | (19301) all_65_42 = all_61_9
% 176.29/27.23 | | | | | | | |
% 176.29/27.23 | | | | | | | | GROUND_INST: instantiating (50) with e3, all_65_26, e2, e2,
% 176.29/27.23 | | | | | | | | simplifying with (17713), (19288) gives:
% 176.29/27.23 | | | | | | | | (19302) all_65_26 = e3
% 176.29/27.23 | | | | | | | |
% 176.29/27.23 | | | | | | | | GROUND_INST: instantiating (50) with all_65_41, all_65_26, e2,
% 176.29/27.23 | | | | | | | | e2, simplifying with (19284), (19288) gives:
% 176.29/27.23 | | | | | | | | (19303) all_65_26 = all_65_41
% 176.29/27.23 | | | | | | | |
% 176.29/27.23 | | | | | | | | GROUND_INST: instantiating (50) with all_6_1, all_65_40, e3, e2,
% 176.29/27.23 | | | | | | | | simplifying with (17699), (19283) gives:
% 176.29/27.23 | | | | | | | | (19304) all_65_40 = all_6_1
% 176.29/27.23 | | | | | | | |
% 176.29/27.23 | | | | | | | | GROUND_INST: instantiating (50) with all_6_1, all_65_10, e2, e3,
% 176.29/27.23 | | | | | | | | simplifying with (17771), (19287) gives:
% 176.29/27.23 | | | | | | | | (19305) all_65_10 = all_6_1
% 176.29/27.23 | | | | | | | |
% 176.29/27.23 | | | | | | | | COMBINE_EQS: (19302), (19303) imply:
% 176.29/27.23 | | | | | | | | (19306) all_65_41 = e3
% 176.29/27.23 | | | | | | | |
% 176.29/27.23 | | | | | | | | COMBINE_EQS: (19298), (19299) imply:
% 176.29/27.23 | | | | | | | | (19307) all_61_6 = all_18_1
% 176.29/27.23 | | | | | | | |
% 176.29/27.23 | | | | | | | | SIMP: (19307) implies:
% 176.29/27.23 | | | | | | | | (19308) all_61_6 = all_18_1
% 176.29/27.23 | | | | | | | |
% 176.29/27.23 | | | | | | | | COMBINE_EQS: (19299), (19301) imply:
% 176.29/27.23 | | | | | | | | (19309) all_61_9 = all_18_1
% 176.29/27.23 | | | | | | | |
% 176.29/27.23 | | | | | | | | SIMP: (19309) implies:
% 176.29/27.23 | | | | | | | | (19310) all_61_9 = all_18_1
% 176.29/27.23 | | | | | | | |
% 176.29/27.23 | | | | | | | | COMBINE_EQS: (19297), (19308) imply:
% 176.29/27.23 | | | | | | | | (19311) all_18_1 = all_10_1
% 176.29/27.23 | | | | | | | |
% 176.29/27.23 | | | | | | | | COMBINE_EQS: (19310), (19311) imply:
% 176.29/27.23 | | | | | | | | (19312) all_61_9 = all_10_1
% 176.29/27.23 | | | | | | | |
% 176.29/27.23 | | | | | | | | COMBINE_EQS: (497), (19312) imply:
% 176.29/27.23 | | | | | | | | (19313) all_63_6 = all_10_1
% 176.29/27.23 | | | | | | | |
% 176.29/27.23 | | | | | | | | REDUCE: (210), (19297) imply:
% 176.29/27.23 | | | | | | | | (19314) ~ (all_61_2 = all_10_1)
% 176.29/27.23 | | | | | | | |
% 176.29/27.23 | | | | | | | | REDUCE: (195), (19297) imply:
% 176.29/27.23 | | | | | | | | (19315) ~ (all_61_7 = all_10_1)
% 176.29/27.23 | | | | | | | |
% 176.29/27.23 | | | | | | | | SIMP: (19315) implies:
% 176.29/27.23 | | | | | | | | (19316) ~ (all_61_7 = all_10_1)
% 176.29/27.23 | | | | | | | |
% 176.29/27.23 | | | | | | | | REDUCE: (193), (19297) imply:
% 176.29/27.23 | | | | | | | | (19317) ~ (all_61_14 = all_10_1)
% 176.29/27.23 | | | | | | | |
% 176.29/27.23 | | | | | | | | SIMP: (19317) implies:
% 176.29/27.23 | | | | | | | | (19318) ~ (all_61_14 = all_10_1)
% 176.29/27.23 | | | | | | | |
% 176.29/27.23 | | | | | | | | REDUCE: (185), (19312) imply:
% 176.29/27.23 | | | | | | | | (19319) ~ (all_61_11 = all_10_1)
% 176.29/27.23 | | | | | | | |
% 176.29/27.23 | | | | | | | | SIMP: (19319) implies:
% 176.29/27.23 | | | | | | | | (19320) ~ (all_61_11 = all_10_1)
% 176.29/27.23 | | | | | | | |
% 176.29/27.23 | | | | | | | | REDUCE: (17745), (19312) imply:
% 176.29/27.23 | | | | | | | | (19321) ~ (all_10_1 = all_6_1)
% 176.29/27.23 | | | | | | | |
% 176.29/27.23 | | | | | | | | REDUCE: (19280), (19312) imply:
% 176.29/27.23 | | | | | | | | (19322) ~ (all_10_1 = e2)
% 176.29/27.23 | | | | | | | |
% 176.29/27.23 | | | | | | | | REDUCE: (17767), (19297) imply:
% 176.29/27.23 | | | | | | | | (19323) op(all_10_1, e2) = all_61_2
% 176.29/27.23 | | | | | | | |
% 176.29/27.23 | | | | | | | | REDUCE: (659), (19312) imply:
% 176.29/27.23 | | | | | | | | (19324) op(all_10_1, e2) = all_65_25
% 176.29/27.23 | | | | | | | |
% 176.29/27.23 | | | | | | | | REDUCE: (692), (19296) imply:
% 176.29/27.23 | | | | | | | | (19325) op(all_61_11, e1) = all_61_7
% 176.29/27.23 | | | | | | | |
% 176.29/27.23 | | | | | | | | REDUCE: (707), (19297) imply:
% 176.29/27.23 | | | | | | | | (19326) op(e3, all_10_1) = all_65_9
% 176.29/27.23 | | | | | | | |
% 176.29/27.23 | | | | | | | | REDUCE: (17790), (19312) imply:
% 176.29/27.23 | | | | | | | | (19327) op(e3, all_10_1) = all_65_18
% 176.29/27.23 | | | | | | | |
% 176.29/27.23 | | | | | | | | REDUCE: (724), (19297) imply:
% 176.29/27.23 | | | | | | | | (19328) op(e2, all_10_1) = all_65_25
% 176.29/27.23 | | | | | | | |
% 176.29/27.23 | | | | | | | | REDUCE: (17773), (19312) imply:
% 176.29/27.23 | | | | | | | | (19329) op(e2, all_10_1) = all_61_8
% 176.29/27.23 | | | | | | | |
% 176.29/27.23 | | | | | | | | REDUCE: (232), (19312) imply:
% 176.29/27.23 | | | | | | | | (19330) op(e2, e1) = all_10_1
% 176.29/27.23 | | | | | | | |
% 176.29/27.23 | | | | | | | | REDUCE: (743), (19300) imply:
% 176.29/27.23 | | | | | | | | (19331) op(e1, all_61_14) = all_61_13
% 176.29/27.23 | | | | | | | |
% 176.29/27.23 | | | | | | | | GROUND_INST: instantiating (50) with all_61_8, all_65_25,
% 176.29/27.23 | | | | | | | | all_10_1, e2, simplifying with (19328), (19329)
% 176.29/27.23 | | | | | | | | gives:
% 176.29/27.23 | | | | | | | | (19332) all_65_25 = all_61_8
% 176.29/27.23 | | | | | | | |
% 176.29/27.23 | | | | | | | | GROUND_INST: instantiating (50) with all_65_18, all_65_9,
% 176.29/27.23 | | | | | | | | all_10_1, e3, simplifying with (19326), (19327)
% 176.29/27.23 | | | | | | | | gives:
% 176.29/27.23 | | | | | | | | (19333) all_65_9 = all_65_18
% 176.29/27.23 | | | | | | | |
% 176.29/27.23 | | | | | | | | GROUND_INST: instantiating (50) with all_61_2, all_65_25, e2,
% 176.29/27.23 | | | | | | | | all_10_1, simplifying with (19323), (19324) gives:
% 176.29/27.23 | | | | | | | | (19334) all_65_25 = all_61_2
% 176.29/27.23 | | | | | | | |
% 176.29/27.23 | | | | | | | | COMBINE_EQS: (19332), (19334) imply:
% 176.29/27.23 | | | | | | | | (19335) all_61_2 = all_61_8
% 176.29/27.23 | | | | | | | |
% 176.29/27.23 | | | | | | | | COMBINE_EQS: (499), (19335) imply:
% 176.29/27.23 | | | | | | | | (19336) all_63_8 = all_61_8
% 176.29/27.23 | | | | | | | |
% 176.29/27.23 | | | | | | | | REDUCE: (211), (19335) imply:
% 176.29/27.23 | | | | | | | | (19337) ~ (all_61_3 = all_61_8)
% 176.29/27.23 | | | | | | | |
% 176.29/27.23 | | | | | | | | SIMP: (19337) implies:
% 176.29/27.23 | | | | | | | | (19338) ~ (all_61_3 = all_61_8)
% 176.29/27.23 | | | | | | | |
% 176.29/27.23 | | | | | | | | REDUCE: (208), (19335) imply:
% 176.29/27.23 | | | | | | | | (19339) ~ (all_61_8 = all_61_14)
% 176.29/27.23 | | | | | | | |
% 176.29/27.23 | | | | | | | | REDUCE: (19314), (19335) imply:
% 176.29/27.23 | | | | | | | | (19340) ~ (all_61_8 = all_10_1)
% 176.29/27.23 | | | | | | | |
% 176.29/27.23 | | | | | | | | REDUCE: (19279), (19335) imply:
% 176.29/27.23 | | | | | | | | (19341) ~ (all_61_8 = e2)
% 176.29/27.23 | | | | | | | |
% 176.29/27.23 | | | | | | | | REDUCE: (666), (19335) imply:
% 176.29/27.23 | | | | | | | | (19342) op(all_61_8, e3) = all_65_32
% 176.29/27.23 | | | | | | | |
% 176.29/27.23 | | | | | | | | REDUCE: (17787), (19335) imply:
% 176.29/27.23 | | | | | | | | (19343) op(all_61_8, e2) = all_65_36
% 176.29/27.23 | | | | | | | |
% 176.29/27.23 | | | | | | | | REDUCE: (643), (19333) imply:
% 176.29/27.23 | | | | | | | | (19344) op(all_61_8, e2) = all_65_18
% 176.29/27.23 | | | | | | | |
% 176.29/27.23 | | | | | | | | REDUCE: (706), (19335) imply:
% 176.29/27.23 | | | | | | | | (19345) op(e3, all_61_8) = all_65_8
% 176.29/27.23 | | | | | | | |
% 176.29/27.23 | | | | | | | | REDUCE: (230), (19335) imply:
% 176.29/27.23 | | | | | | | | (19346) op(e1, e3) = all_61_8
% 176.29/27.23 | | | | | | | |
% 176.29/27.23 | | | | | | | | GROUND_INST: instantiating (50) with all_65_2, all_65_8,
% 176.29/27.23 | | | | | | | | all_61_8, e3, simplifying with (700), (19345)
% 176.29/27.23 | | | | | | | | gives:
% 176.29/27.23 | | | | | | | | (19347) all_65_2 = all_65_8
% 176.29/27.23 | | | | | | | |
% 176.29/27.23 | | | | | | | | GROUND_INST: instantiating (50) with all_65_36, all_65_18, e2,
% 176.29/27.23 | | | | | | | | all_61_8, simplifying with (19343), (19344) gives:
% 176.29/27.23 | | | | | | | | (19348) all_65_18 = all_65_36
% 176.29/27.23 | | | | | | | |
% 176.29/27.23 | | | | | | | | GROUND_INST: instantiating (50) with all_65_8, all_65_32, e3,
% 176.29/27.23 | | | | | | | | all_61_8, simplifying with (642), (19342) gives:
% 176.29/27.23 | | | | | | | | (19349) all_65_8 = all_65_32
% 176.29/27.23 | | | | | | | |
% 176.29/27.23 | | | | | | | | COMBINE_EQS: (19347), (19349) imply:
% 176.29/27.23 | | | | | | | | (19350) all_65_2 = all_65_32
% 176.29/27.23 | | | | | | | |
% 176.29/27.23 | | | | | | | | REDUCE: (636), (19350) imply:
% 176.29/27.23 | | | | | | | | (19351) op(all_14_2, e1) = all_65_32
% 176.29/27.23 | | | | | | | |
% 176.29/27.23 | | | | | | | | REDUCE: (17761), (19348) imply:
% 176.29/27.23 | | | | | | | | (19352) op(all_6_1, e1) = all_65_36
% 176.29/27.23 | | | | | | | |
% 176.29/27.23 | | | | | | | | BETA: splitting (68) gives:
% 176.29/27.23 | | | | | | | |
% 176.29/27.23 | | | | | | | | Case 1:
% 176.29/27.23 | | | | | | | | |
% 176.29/27.23 | | | | | | | | | (19353) ~ (all_14_2 = e2)
% 176.29/27.23 | | | | | | | | |
% 176.29/27.23 | | | | | | | | | BETA: splitting (77) gives:
% 176.29/27.23 | | | | | | | | |
% 176.29/27.23 | | | | | | | | | Case 1:
% 176.29/27.23 | | | | | | | | | |
% 176.29/27.23 | | | | | | | | | | (19354) ~ (all_20_2 = e2)
% 176.29/27.23 | | | | | | | | | |
% 176.29/27.23 | | | | | | | | | | BETA: splitting (89) gives:
% 176.29/27.23 | | | | | | | | | |
% 176.29/27.23 | | | | | | | | | | Case 1:
% 176.29/27.23 | | | | | | | | | | |
% 176.29/27.23 | | | | | | | | | | | (19355) ~ (all_28_2 = e3)
% 176.29/27.23 | | | | | | | | | | |
% 176.29/27.23 | | | | | | | | | | | REDUCE: (563), (19355) imply:
% 176.29/27.23 | | | | | | | | | | | (19356) ~ (all_20_2 = e3)
% 176.29/27.23 | | | | | | | | | | |
% 176.29/27.23 | | | | | | | | | | | BETA: splitting (101) gives:
% 176.29/27.23 | | | | | | | | | | |
% 176.29/27.23 | | | | | | | | | | | Case 1:
% 176.29/27.23 | | | | | | | | | | | |
% 176.29/27.23 | | | | | | | | | | | | (19357) ~ (all_36_2 = e0)
% 176.29/27.23 | | | | | | | | | | | |
% 176.29/27.23 | | | | | | | | | | | | REDUCE: (557), (19357) imply:
% 176.29/27.23 | | | | | | | | | | | | (19358) ~ (all_14_2 = e0)
% 176.29/27.23 | | | | | | | | | | | |
% 176.29/27.23 | | | | | | | | | | | | BETA: splitting (107) gives:
% 176.29/27.23 | | | | | | | | | | | |
% 176.29/27.23 | | | | | | | | | | | | Case 1:
% 176.29/27.23 | | | | | | | | | | | | |
% 176.29/27.23 | | | | | | | | | | | | | (19359) ~ (all_40_2 = e1)
% 176.29/27.23 | | | | | | | | | | | | |
% 176.29/27.23 | | | | | | | | | | | | | REDUCE: (553), (19359) imply:
% 176.29/27.23 | | | | | | | | | | | | | (19360) ~ (all_14_2 = e1)
% 176.29/27.23 | | | | | | | | | | | | |
% 176.29/27.23 | | | | | | | | | | | | | REF_CLOSE: (10), (50), (67), (151), (159), (162), (165),
% 176.29/27.23 | | | | | | | | | | | | | (166), (167), (168), (226), (230), (234), (235),
% 176.29/27.23 | | | | | | | | | | | | | (236), (237), (271), (475), (478), (481), (484),
% 176.29/27.23 | | | | | | | | | | | | | (534), (588), (599), (601), (603), (635), (636),
% 176.29/27.23 | | | | | | | | | | | | | (637), (638), (642), (646), (650), (666), (682),
% 176.29/27.23 | | | | | | | | | | | | | (698), (714), (715), (731), (732), (748), (749),
% 176.29/27.23 | | | | | | | | | | | | | (765), (18011), (19353), (19358), (19360) are
% 176.29/27.23 | | | | | | | | | | | | | inconsistent by sub-proof #502.
% 176.29/27.23 | | | | | | | | | | | | |
% 176.29/27.23 | | | | | | | | | | | | Case 2:
% 176.29/27.23 | | | | | | | | | | | | |
% 176.29/27.23 | | | | | | | | | | | | | (19361) all_40_2 = e1
% 176.29/27.23 | | | | | | | | | | | | |
% 176.29/27.23 | | | | | | | | | | | | | COMBINE_EQS: (553), (19361) imply:
% 176.29/27.23 | | | | | | | | | | | | | (19362) all_14_2 = e1
% 176.29/27.23 | | | | | | | | | | | | |
% 176.29/27.23 | | | | | | | | | | | | | REDUCE: (19353), (19362) imply:
% 176.29/27.23 | | | | | | | | | | | | | (19363) ~ (e2 = e1)
% 176.29/27.23 | | | | | | | | | | | | |
% 176.29/27.23 | | | | | | | | | | | | | REDUCE: (637), (19362) imply:
% 176.29/27.23 | | | | | | | | | | | | | (19364) op(e1, e0) = all_65_3
% 176.29/27.23 | | | | | | | | | | | | |
% 176.29/27.23 | | | | | | | | | | | | | REDUCE: (17764), (19362) imply:
% 176.29/27.23 | | | | | | | | | | | | | (19365) op(all_6_1, e2) = e1
% 176.29/27.23 | | | | | | | | | | | | |
% 176.29/27.23 | | | | | | | | | | | | | REDUCE: (715), (19362) imply:
% 176.29/27.23 | | | | | | | | | | | | | (19366) op(e2, e1) = all_65_16
% 176.29/27.23 | | | | | | | | | | | | |
% 176.29/27.23 | | | | | | | | | | | | | REDUCE: (749), (19362) imply:
% 176.29/27.23 | | | | | | | | | | | | | (19367) op(e0, e1) = all_65_49
% 176.29/27.23 | | | | | | | | | | | | |
% 176.29/27.23 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_11, all_65_49, e1,
% 176.29/27.23 | | | | | | | | | | | | | e0, simplifying with (224), (19367) gives:
% 176.29/27.23 | | | | | | | | | | | | | (19368) all_65_49 = all_61_11
% 176.29/27.23 | | | | | | | | | | | | |
% 176.29/27.23 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_14, all_65_3, e0,
% 176.29/27.23 | | | | | | | | | | | | | e1, simplifying with (227), (19364) gives:
% 176.29/27.23 | | | | | | | | | | | | | (19369) all_65_3 = all_61_14
% 176.29/27.23 | | | | | | | | | | | | |
% 176.29/27.23 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_10_1, all_65_16, e1,
% 176.29/27.23 | | | | | | | | | | | | | e2, simplifying with (19330), (19366) gives:
% 176.29/27.23 | | | | | | | | | | | | | (19370) all_65_16 = all_10_1
% 176.29/27.23 | | | | | | | | | | | | |
% 176.29/27.23 | | | | | | | | | | | | | BETA: splitting (110) gives:
% 176.29/27.23 | | | | | | | | | | | | |
% 176.29/27.23 | | | | | | | | | | | | | Case 1:
% 176.29/27.23 | | | | | | | | | | | | | |
% 176.29/27.23 | | | | | | | | | | | | | | (19371) ~ (all_42_2 = e1)
% 176.29/27.23 | | | | | | | | | | | | | |
% 176.29/27.23 | | | | | | | | | | | | | | REDUCE: (532), (19371) imply:
% 176.29/27.23 | | | | | | | | | | | | | | (19372) ~ (all_20_2 = e1)
% 176.29/27.23 | | | | | | | | | | | | | |
% 176.29/27.23 | | | | | | | | | | | | | | BETA: splitting (256) gives:
% 176.29/27.23 | | | | | | | | | | | | | |
% 176.29/27.23 | | | | | | | | | | | | | | Case 1:
% 176.29/27.23 | | | | | | | | | | | | | | |
% 176.29/27.23 | | | | | | | | | | | | | | | (19373) all_63_15 = e3
% 176.29/27.23 | | | | | | | | | | | | | | |
% 176.29/27.23 | | | | | | | | | | | | | | | REF_CLOSE: (422), (19356), (19373) are inconsistent by
% 176.29/27.23 | | | | | | | | | | | | | | | sub-proof #501.
% 176.29/27.23 | | | | | | | | | | | | | | |
% 176.29/27.23 | | | | | | | | | | | | | | Case 2:
% 176.29/27.23 | | | | | | | | | | | | | | |
% 176.29/27.23 | | | | | | | | | | | | | | | (19374) all_63_15 = e2 | all_63_15 = e1 | all_63_15 = e0
% 176.29/27.23 | | | | | | | | | | | | | | |
% 176.29/27.23 | | | | | | | | | | | | | | | BETA: splitting (19374) gives:
% 176.29/27.23 | | | | | | | | | | | | | | |
% 176.29/27.23 | | | | | | | | | | | | | | | Case 1:
% 176.29/27.23 | | | | | | | | | | | | | | | |
% 176.29/27.23 | | | | | | | | | | | | | | | | (19375) all_63_15 = e2
% 176.29/27.23 | | | | | | | | | | | | | | | |
% 176.29/27.23 | | | | | | | | | | | | | | | | REF_CLOSE: (422), (19354), (19375) are inconsistent by
% 176.29/27.23 | | | | | | | | | | | | | | | | sub-proof #500.
% 176.29/27.23 | | | | | | | | | | | | | | | |
% 176.29/27.23 | | | | | | | | | | | | | | | Case 2:
% 176.29/27.23 | | | | | | | | | | | | | | | |
% 176.29/27.23 | | | | | | | | | | | | | | | | (19376) all_63_15 = e1 | all_63_15 = e0
% 176.29/27.23 | | | | | | | | | | | | | | | |
% 176.29/27.23 | | | | | | | | | | | | | | | | BETA: splitting (19376) gives:
% 176.29/27.23 | | | | | | | | | | | | | | | |
% 176.29/27.23 | | | | | | | | | | | | | | | | Case 1:
% 176.29/27.23 | | | | | | | | | | | | | | | | |
% 176.29/27.23 | | | | | | | | | | | | | | | | | (19377) all_63_15 = e1
% 176.29/27.23 | | | | | | | | | | | | | | | | |
% 176.29/27.23 | | | | | | | | | | | | | | | | | REF_CLOSE: (422), (19372), (19377) are inconsistent by
% 176.29/27.23 | | | | | | | | | | | | | | | | | sub-proof #499.
% 176.29/27.23 | | | | | | | | | | | | | | | | |
% 176.29/27.23 | | | | | | | | | | | | | | | | Case 2:
% 176.29/27.23 | | | | | | | | | | | | | | | | |
% 176.29/27.23 | | | | | | | | | | | | | | | | | (19378) all_63_15 = e0
% 176.29/27.23 | | | | | | | | | | | | | | | | |
% 176.29/27.23 | | | | | | | | | | | | | | | | | COMBINE_EQS: (422), (19378) imply:
% 176.29/27.23 | | | | | | | | | | | | | | | | | (19379) all_20_2 = e0
% 176.29/27.23 | | | | | | | | | | | | | | | | |
% 176.29/27.23 | | | | | | | | | | | | | | | | | SIMP: (19379) implies:
% 176.29/27.23 | | | | | | | | | | | | | | | | | (19380) all_20_2 = e0
% 176.29/27.23 | | | | | | | | | | | | | | | | |
% 176.29/27.23 | | | | | | | | | | | | | | | | | REDUCE: (626), (19380) imply:
% 176.29/27.23 | | | | | | | | | | | | | | | | | (19381) ~ (all_61_13 = e0)
% 176.29/27.23 | | | | | | | | | | | | | | | | |
% 176.29/27.23 | | | | | | | | | | | | | | | | | REDUCE: (730), (19380) imply:
% 176.29/27.23 | | | | | | | | | | | | | | | | | (19382) op(e2, e0) = all_65_31
% 176.29/27.23 | | | | | | | | | | | | | | | | |
% 176.29/27.23 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_13, all_65_31, e0,
% 176.29/27.23 | | | | | | | | | | | | | | | | | e2, simplifying with (231), (19382) gives:
% 176.29/27.23 | | | | | | | | | | | | | | | | | (19383) all_65_31 = all_61_13
% 176.29/27.23 | | | | | | | | | | | | | | | | |
% 176.29/27.23 | | | | | | | | | | | | | | | | | REDUCE: (665), (19383) imply:
% 176.29/27.23 | | | | | | | | | | | | | | | | | (19384) op(all_61_13, e0) = all_61_13
% 176.29/27.23 | | | | | | | | | | | | | | | | |
% 176.29/27.23 | | | | | | | | | | | | | | | | | BETA: splitting (164) gives:
% 176.29/27.23 | | | | | | | | | | | | | | | | |
% 176.29/27.23 | | | | | | | | | | | | | | | | | Case 1:
% 176.29/27.23 | | | | | | | | | | | | | | | | | |
% 176.29/27.23 | | | | | | | | | | | | | | | | | | (19385) ~ (all_58_1 = e1)
% 176.29/27.23 | | | | | | | | | | | | | | | | | |
% 176.29/27.23 | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9), (20), (50), (150), (158), (163), (165),
% 176.29/27.23 | | | | | | | | | | | | | | | | | | (231), (475), (481), (484), (536), (714), (731),
% 176.29/27.23 | | | | | | | | | | | | | | | | | | (17713), (17771), (18011), (19365), (19381),
% 176.29/27.23 | | | | | | | | | | | | | | | | | | (19384), (19385) are inconsistent by sub-proof
% 176.29/27.23 | | | | | | | | | | | | | | | | | | #68.
% 176.29/27.23 | | | | | | | | | | | | | | | | | |
% 176.29/27.23 | | | | | | | | | | | | | | | | | Case 2:
% 176.29/27.23 | | | | | | | | | | | | | | | | | |
% 176.29/27.23 | | | | | | | | | | | | | | | | | | (19386) all_58_2 = e2
% 176.29/27.23 | | | | | | | | | | | | | | | | | | (19387) all_58_1 = e1
% 176.29/27.23 | | | | | | | | | | | | | | | | | |
% 176.29/27.23 | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (50), (229), (232), (478), (481), (659),
% 176.29/27.23 | | | | | | | | | | | | | | | | | | (724), (731), (748), (17773), (19341), (19386),
% 176.29/27.23 | | | | | | | | | | | | | | | | | | (19387) are inconsistent by sub-proof #67.
% 176.29/27.23 | | | | | | | | | | | | | | | | | |
% 176.29/27.23 | | | | | | | | | | | | | | | | | End of split
% 176.29/27.23 | | | | | | | | | | | | | | | | |
% 176.29/27.23 | | | | | | | | | | | | | | | | End of split
% 176.29/27.23 | | | | | | | | | | | | | | | |
% 176.29/27.23 | | | | | | | | | | | | | | | End of split
% 176.29/27.23 | | | | | | | | | | | | | | |
% 176.29/27.23 | | | | | | | | | | | | | | End of split
% 176.29/27.23 | | | | | | | | | | | | | |
% 176.29/27.23 | | | | | | | | | | | | | Case 2:
% 176.29/27.23 | | | | | | | | | | | | | |
% 176.29/27.23 | | | | | | | | | | | | | | (19388) all_42_2 = e1
% 176.29/27.23 | | | | | | | | | | | | | | (19389) op(e0, e1) = all_42_1 & $i(all_42_1) & ( ~
% 176.29/27.23 | | | | | | | | | | | | | | (all_42_1 = e3) | ( ~ (all_42_0 = e2) & op(e3,
% 176.29/27.23 | | | | | | | | | | | | | | e0) = all_42_0 & $i(all_42_0)))
% 176.29/27.23 | | | | | | | | | | | | | |
% 176.29/27.23 | | | | | | | | | | | | | | ALPHA: (19389) implies:
% 176.29/27.23 | | | | | | | | | | | | | | (19390) op(e0, e1) = all_42_1
% 176.29/27.23 | | | | | | | | | | | | | |
% 176.29/27.23 | | | | | | | | | | | | | | COMBINE_EQS: (532), (19388) imply:
% 176.29/27.23 | | | | | | | | | | | | | | (19391) all_20_2 = e1
% 176.29/27.23 | | | | | | | | | | | | | |
% 176.29/27.23 | | | | | | | | | | | | | | SIMP: (19391) implies:
% 176.29/27.23 | | | | | | | | | | | | | | (19392) all_20_2 = e1
% 176.29/27.23 | | | | | | | | | | | | | |
% 176.29/27.23 | | | | | | | | | | | | | | REDUCE: (617), (19392) imply:
% 176.29/27.23 | | | | | | | | | | | | | | (19393) ~ (all_61_7 = e1)
% 176.29/27.23 | | | | | | | | | | | | | |
% 176.29/27.23 | | | | | | | | | | | | | | REDUCE: (697), (19392) imply:
% 176.29/27.23 | | | | | | | | | | | | | | (19394) op(e1, e0) = all_65_78
% 176.29/27.23 | | | | | | | | | | | | | |
% 176.29/27.23 | | | | | | | | | | | | | | REDUCE: (730), (19392) imply:
% 176.29/27.23 | | | | | | | | | | | | | | (19395) op(e2, e1) = all_65_31
% 176.29/27.23 | | | | | | | | | | | | | |
% 176.29/27.23 | | | | | | | | | | | | | | REDUCE: (764), (19392) imply:
% 176.29/27.23 | | | | | | | | | | | | | | (19396) op(e0, e1) = all_65_78
% 176.29/27.23 | | | | | | | | | | | | | |
% 176.29/27.23 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_11, all_42_1, e1,
% 176.29/27.23 | | | | | | | | | | | | | | e0, simplifying with (224), (19390) gives:
% 176.29/27.23 | | | | | | | | | | | | | | (19397) all_61_11 = all_42_1
% 176.29/27.23 | | | | | | | | | | | | | |
% 176.29/27.23 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_11, all_65_78, e1,
% 176.29/27.23 | | | | | | | | | | | | | | e0, simplifying with (224), (19396) gives:
% 176.29/27.23 | | | | | | | | | | | | | | (19398) all_65_78 = all_61_11
% 176.29/27.23 | | | | | | | | | | | | | |
% 176.29/27.23 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_14, all_65_78, e0,
% 176.29/27.23 | | | | | | | | | | | | | | e1, simplifying with (227), (19394) gives:
% 176.29/27.23 | | | | | | | | | | | | | | (19399) all_65_78 = all_61_14
% 176.29/27.23 | | | | | | | | | | | | | |
% 176.29/27.23 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_10_1, all_65_31, e1,
% 176.29/27.23 | | | | | | | | | | | | | | e2, simplifying with (19330), (19395) gives:
% 176.29/27.23 | | | | | | | | | | | | | | (19400) all_65_31 = all_10_1
% 176.29/27.23 | | | | | | | | | | | | | |
% 176.29/27.23 | | | | | | | | | | | | | | COMBINE_EQS: (19398), (19399) imply:
% 176.29/27.23 | | | | | | | | | | | | | | (19401) all_61_11 = all_61_14
% 176.29/27.23 | | | | | | | | | | | | | |
% 176.29/27.23 | | | | | | | | | | | | | | SIMP: (19401) implies:
% 176.29/27.23 | | | | | | | | | | | | | | (19402) all_61_11 = all_61_14
% 176.29/27.23 | | | | | | | | | | | | | |
% 176.29/27.23 | | | | | | | | | | | | | | COMBINE_EQS: (19397), (19402) imply:
% 176.29/27.23 | | | | | | | | | | | | | | (19403) all_61_14 = all_42_1
% 176.29/27.23 | | | | | | | | | | | | | |
% 176.29/27.23 | | | | | | | | | | | | | | REDUCE: (19325), (19397) imply:
% 176.29/27.23 | | | | | | | | | | | | | | (19404) op(all_42_1, e1) = all_61_7
% 176.29/27.23 | | | | | | | | | | | | | |
% 176.29/27.23 | | | | | | | | | | | | | | REDUCE: (665), (19400) imply:
% 176.29/27.23 | | | | | | | | | | | | | | (19405) op(all_61_13, e0) = all_10_1
% 176.29/27.23 | | | | | | | | | | | | | |
% 176.29/27.23 | | | | | | | | | | | | | | REDUCE: (680), (19403) imply:
% 176.29/27.23 | | | | | | | | | | | | | | (19406) op(all_42_1, e1) = all_65_46
% 176.29/27.23 | | | | | | | | | | | | | |
% 176.29/27.23 | | | | | | | | | | | | | | REDUCE: (746), (19397) imply:
% 176.29/27.23 | | | | | | | | | | | | | | (19407) op(e1, all_42_1) = all_65_46
% 176.29/27.23 | | | | | | | | | | | | | |
% 176.29/27.23 | | | | | | | | | | | | | | REDUCE: (19331), (19403) imply:
% 176.29/27.23 | | | | | | | | | | | | | | (19408) op(e1, all_42_1) = all_61_13
% 176.29/27.23 | | | | | | | | | | | | | |
% 176.29/27.23 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_13, all_65_46,
% 176.29/27.23 | | | | | | | | | | | | | | all_42_1, e1, simplifying with (19407), (19408)
% 176.29/27.23 | | | | | | | | | | | | | | gives:
% 176.29/27.23 | | | | | | | | | | | | | | (19409) all_65_46 = all_61_13
% 176.29/27.23 | | | | | | | | | | | | | |
% 176.29/27.23 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_7, all_65_46, e1,
% 176.29/27.23 | | | | | | | | | | | | | | all_42_1, simplifying with (19404), (19406) gives:
% 176.29/27.23 | | | | | | | | | | | | | | (19410) all_65_46 = all_61_7
% 176.29/27.23 | | | | | | | | | | | | | |
% 176.29/27.23 | | | | | | | | | | | | | | COMBINE_EQS: (19409), (19410) imply:
% 176.29/27.23 | | | | | | | | | | | | | | (19411) all_61_7 = all_61_13
% 176.29/27.23 | | | | | | | | | | | | | |
% 176.29/27.23 | | | | | | | | | | | | | | REDUCE: (207), (19411) imply:
% 176.29/27.23 | | | | | | | | | | | | | | (19412) ~ (all_61_3 = all_61_13)
% 176.29/27.23 | | | | | | | | | | | | | |
% 176.29/27.23 | | | | | | | | | | | | | | REDUCE: (19316), (19411) imply:
% 176.29/27.23 | | | | | | | | | | | | | | (19413) ~ (all_61_13 = all_10_1)
% 176.29/27.23 | | | | | | | | | | | | | |
% 176.29/27.23 | | | | | | | | | | | | | | REDUCE: (19393), (19411) imply:
% 176.29/27.23 | | | | | | | | | | | | | | (19414) ~ (all_61_13 = e1)
% 176.29/27.23 | | | | | | | | | | | | | |
% 176.29/27.23 | | | | | | | | | | | | | | REDUCE: (17768), (19411) imply:
% 176.29/27.23 | | | | | | | | | | | | | | (19415) op(all_61_13, e2) = all_61_3
% 176.29/27.23 | | | | | | | | | | | | | |
% 176.29/27.23 | | | | | | | | | | | | | | REDUCE: (689), (19411) imply:
% 176.29/27.23 | | | | | | | | | | | | | | (19416) op(all_61_13, e0) = all_65_63
% 176.29/27.23 | | | | | | | | | | | | | |
% 176.29/27.23 | | | | | | | | | | | | | | REDUCE: (728), (19411) imply:
% 176.29/27.23 | | | | | | | | | | | | | | (19417) op(e2, all_61_13) = all_65_29
% 176.29/27.23 | | | | | | | | | | | | | |
% 176.29/27.23 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_12, all_65_29,
% 176.29/27.23 | | | | | | | | | | | | | | all_61_13, e2, simplifying with (17774), (19417)
% 176.29/27.23 | | | | | | | | | | | | | | gives:
% 176.29/27.23 | | | | | | | | | | | | | | (19418) all_65_29 = all_61_12
% 176.29/27.23 | | | | | | | | | | | | | |
% 176.29/27.23 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_10_1, all_65_63, e0,
% 176.29/27.23 | | | | | | | | | | | | | | all_61_13, simplifying with (19405), (19416)
% 176.29/27.23 | | | | | | | | | | | | | | gives:
% 176.29/27.23 | | | | | | | | | | | | | | (19419) all_65_63 = all_10_1
% 176.29/27.23 | | | | | | | | | | | | | |
% 176.29/27.23 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_29, all_61_3, e2,
% 176.29/27.23 | | | | | | | | | | | | | | all_61_13, simplifying with (663), (19415) gives:
% 176.29/27.23 | | | | | | | | | | | | | | (19420) all_65_29 = all_61_3
% 176.29/27.23 | | | | | | | | | | | | | |
% 176.29/27.23 | | | | | | | | | | | | | | COMBINE_EQS: (19418), (19420) imply:
% 176.29/27.23 | | | | | | | | | | | | | | (19421) all_61_3 = all_61_12
% 176.29/27.23 | | | | | | | | | | | | | |
% 176.29/27.23 | | | | | | | | | | | | | | SIMP: (19421) implies:
% 176.29/27.23 | | | | | | | | | | | | | | (19422) all_61_3 = all_61_12
% 176.29/27.23 | | | | | | | | | | | | | |
% 176.29/27.23 | | | | | | | | | | | | | | REDUCE: (19415), (19422) imply:
% 176.29/27.23 | | | | | | | | | | | | | | (19423) op(all_61_13, e2) = all_61_12
% 176.29/27.23 | | | | | | | | | | | | | |
% 176.29/27.23 | | | | | | | | | | | | | | BETA: splitting (165) gives:
% 176.29/27.23 | | | | | | | | | | | | | |
% 176.29/27.23 | | | | | | | | | | | | | | Case 1:
% 176.29/27.23 | | | | | | | | | | | | | | |
% 176.29/27.23 | | | | | | | | | | | | | | | (19424) ~ (all_58_1 = e3)
% 176.29/27.23 | | | | | | | | | | | | | | |
% 176.29/27.23 | | | | | | | | | | | | | | | REDUCE: (481), (19424) imply:
% 176.29/27.23 | | | | | | | | | | | | | | | (19425) ~ (all_52_1 = e3)
% 176.29/27.23 | | | | | | | | | | | | | | |
% 176.29/27.23 | | | | | | | | | | | | | | | BETA: splitting (168) gives:
% 176.29/27.23 | | | | | | | | | | | | | | |
% 176.29/27.23 | | | | | | | | | | | | | | | Case 1:
% 176.29/27.23 | | | | | | | | | | | | | | | |
% 176.29/27.23 | | | | | | | | | | | | | | | | (19426) ~ (all_58_0 = e2)
% 176.29/27.23 | | | | | | | | | | | | | | | |
% 176.29/27.23 | | | | | | | | | | | | | | | | REDUCE: (484), (19426) imply:
% 176.29/27.23 | | | | | | | | | | | | | | | | (19427) ~ (all_52_0 = e2)
% 176.29/27.23 | | | | | | | | | | | | | | | |
% 176.29/27.23 | | | | | | | | | | | | | | | | BETA: splitting (163) gives:
% 176.29/27.23 | | | | | | | | | | | | | | | |
% 176.29/27.23 | | | | | | | | | | | | | | | | Case 1:
% 176.29/27.23 | | | | | | | | | | | | | | | | |
% 176.29/27.23 | | | | | | | | | | | | | | | | | (19428) ~ (all_58_1 = e0)
% 176.29/27.23 | | | | | | | | | | | | | | | | |
% 176.29/27.23 | | | | | | | | | | | | | | | | | REDUCE: (481), (19428) imply:
% 176.29/27.23 | | | | | | | | | | | | | | | | | (19429) ~ (all_52_1 = e0)
% 176.29/27.23 | | | | | | | | | | | | | | | | |
% 176.29/27.23 | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (50), (150), (161), (164), (165), (229),
% 176.29/27.23 | | | | | | | | | | | | | | | | | (232), (478), (481), (484), (536), (659), (724),
% 176.29/27.23 | | | | | | | | | | | | | | | | | (731), (748), (17713), (17773), (18011), (19341),
% 176.29/27.23 | | | | | | | | | | | | | | | | | (19427), (19429) are inconsistent by sub-proof
% 176.29/27.23 | | | | | | | | | | | | | | | | | #66.
% 176.29/27.23 | | | | | | | | | | | | | | | | |
% 176.29/27.23 | | | | | | | | | | | | | | | | Case 2:
% 176.29/27.23 | | | | | | | | | | | | | | | | |
% 176.29/27.23 | | | | | | | | | | | | | | | | | (19430) all_58_1 = e0
% 176.29/27.23 | | | | | | | | | | | | | | | | |
% 176.29/27.23 | | | | | | | | | | | | | | | | | COMBINE_EQS: (481), (19430) imply:
% 176.29/27.23 | | | | | | | | | | | | | | | | | (19431) all_52_1 = e0
% 176.29/27.23 | | | | | | | | | | | | | | | | |
% 176.29/27.23 | | | | | | | | | | | | | | | | | SIMP: (19431) implies:
% 176.29/27.23 | | | | | | | | | | | | | | | | | (19432) all_52_1 = e0
% 176.29/27.23 | | | | | | | | | | | | | | | | |
% 176.29/27.23 | | | | | | | | | | | | | | | | | REDUCE: (731), (19432) imply:
% 176.29/27.23 | | | | | | | | | | | | | | | | | (19433) op(e2, e0) = unit
% 176.29/27.23 | | | | | | | | | | | | | | | | |
% 176.29/27.23 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_13, unit, e0, e2,
% 176.29/27.23 | | | | | | | | | | | | | | | | | simplifying with (231), (19433) gives:
% 176.29/27.23 | | | | | | | | | | | | | | | | | (19434) all_61_13 = unit
% 176.29/27.23 | | | | | | | | | | | | | | | | |
% 176.29/27.23 | | | | | | | | | | | | | | | | | REDUCE: (180), (19434) imply:
% 176.29/27.23 | | | | | | | | | | | | | | | | | (19435) ~ (all_61_12 = unit)
% 176.29/27.23 | | | | | | | | | | | | | | | | |
% 176.29/27.23 | | | | | | | | | | | | | | | | | REDUCE: (19413), (19434) imply:
% 176.29/27.23 | | | | | | | | | | | | | | | | | (19436) ~ (all_10_1 = unit)
% 176.29/27.23 | | | | | | | | | | | | | | | | |
% 176.29/27.23 | | | | | | | | | | | | | | | | | SIMP: (19436) implies:
% 176.29/27.23 | | | | | | | | | | | | | | | | | (19437) ~ (all_10_1 = unit)
% 176.29/27.23 | | | | | | | | | | | | | | | | |
% 176.29/27.23 | | | | | | | | | | | | | | | | | REDUCE: (19414), (19434) imply:
% 176.29/27.23 | | | | | | | | | | | | | | | | | (19438) ~ (unit = e1)
% 176.29/27.23 | | | | | | | | | | | | | | | | |
% 176.29/27.23 | | | | | | | | | | | | | | | | | REDUCE: (19423), (19434) imply:
% 176.29/27.23 | | | | | | | | | | | | | | | | | (19439) op(unit, e2) = all_61_12
% 176.29/27.23 | | | | | | | | | | | | | | | | |
% 176.29/27.23 | | | | | | | | | | | | | | | | | REDUCE: (19405), (19434) imply:
% 176.29/27.23 | | | | | | | | | | | | | | | | | (19440) op(unit, e0) = all_10_1
% 176.29/27.23 | | | | | | | | | | | | | | | | |
% 176.29/27.23 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e0, all_10_1, e0, unit,
% 176.29/27.23 | | | | | | | | | | | | | | | | | simplifying with (7), (19440) gives:
% 176.29/27.23 | | | | | | | | | | | | | | | | | (19441) all_10_1 = e0
% 176.29/27.23 | | | | | | | | | | | | | | | | |
% 176.29/27.23 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e2, all_61_12, e2, unit,
% 176.29/27.23 | | | | | | | | | | | | | | | | | simplifying with (9), (19439) gives:
% 176.29/27.23 | | | | | | | | | | | | | | | | | (19442) all_61_12 = e2
% 176.29/27.23 | | | | | | | | | | | | | | | | |
% 176.29/27.23 | | | | | | | | | | | | | | | | | REDUCE: (19435), (19442) imply:
% 176.29/27.23 | | | | | | | | | | | | | | | | | (19443) ~ (unit = e2)
% 176.29/27.23 | | | | | | | | | | | | | | | | |
% 176.29/27.23 | | | | | | | | | | | | | | | | | SIMP: (19443) implies:
% 176.29/27.23 | | | | | | | | | | | | | | | | | (19444) ~ (unit = e2)
% 176.29/27.23 | | | | | | | | | | | | | | | | |
% 176.29/27.23 | | | | | | | | | | | | | | | | | REF_CLOSE: (18012), (19437), (19438), (19441), (19444) are
% 176.29/27.23 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #248.
% 176.29/27.23 | | | | | | | | | | | | | | | | |
% 176.29/27.23 | | | | | | | | | | | | | | | | End of split
% 176.29/27.23 | | | | | | | | | | | | | | | |
% 176.29/27.23 | | | | | | | | | | | | | | | Case 2:
% 176.29/27.23 | | | | | | | | | | | | | | | |
% 176.29/27.23 | | | | | | | | | | | | | | | | (19445) all_58_1 = e3
% 176.29/27.23 | | | | | | | | | | | | | | | |
% 176.29/27.23 | | | | | | | | | | | | | | | | REF_CLOSE: (481), (19425), (19445) are inconsistent by
% 176.29/27.23 | | | | | | | | | | | | | | | | sub-proof #511.
% 176.29/27.23 | | | | | | | | | | | | | | | |
% 176.29/27.23 | | | | | | | | | | | | | | | End of split
% 176.29/27.23 | | | | | | | | | | | | | | |
% 176.29/27.23 | | | | | | | | | | | | | | Case 2:
% 176.29/27.23 | | | | | | | | | | | | | | |
% 176.29/27.23 | | | | | | | | | | | | | | | (19446) all_58_0 = e2
% 176.29/27.23 | | | | | | | | | | | | | | |
% 176.29/27.23 | | | | | | | | | | | | | | | REF_CLOSE: (9), (20), (50), (484), (714), (17771), (19365),
% 176.29/27.23 | | | | | | | | | | | | | | | (19446) are inconsistent by sub-proof #99.
% 176.29/27.23 | | | | | | | | | | | | | | |
% 176.29/27.23 | | | | | | | | | | | | | | End of split
% 176.29/27.23 | | | | | | | | | | | | | |
% 176.29/27.23 | | | | | | | | | | | | | End of split
% 176.29/27.23 | | | | | | | | | | | | |
% 176.29/27.23 | | | | | | | | | | | | End of split
% 176.29/27.23 | | | | | | | | | | | |
% 176.29/27.23 | | | | | | | | | | | Case 2:
% 176.29/27.23 | | | | | | | | | | | |
% 176.29/27.23 | | | | | | | | | | | | (19447) all_36_2 = e0
% 176.29/27.23 | | | | | | | | | | | | (19448) op(e3, e0) = all_36_1 & $i(all_36_1) & ( ~
% 176.29/27.23 | | | | | | | | | | | | (all_36_1 = e2) | ( ~ (all_36_0 = e1) & op(e2,
% 176.29/27.23 | | | | | | | | | | | | e3) = all_36_0 & $i(all_36_0)))
% 176.29/27.23 | | | | | | | | | | | |
% 176.29/27.23 | | | | | | | | | | | | ALPHA: (19448) implies:
% 176.29/27.23 | | | | | | | | | | | | (19449) op(e3, e0) = all_36_1
% 176.29/27.23 | | | | | | | | | | | |
% 176.29/27.23 | | | | | | | | | | | | COMBINE_EQS: (557), (19447) imply:
% 176.29/27.23 | | | | | | | | | | | | (19450) all_14_2 = e0
% 176.29/27.23 | | | | | | | | | | | |
% 176.29/27.23 | | | | | | | | | | | | SIMP: (19450) implies:
% 176.29/27.23 | | | | | | | | | | | | (19451) all_14_2 = e0
% 176.29/27.23 | | | | | | | | | | | |
% 176.29/27.23 | | | | | | | | | | | | COMBINE_EQS: (549), (19451) imply:
% 176.29/27.23 | | | | | | | | | | | | (19452) all_44_2 = e0
% 176.29/27.23 | | | | | | | | | | | |
% 176.29/27.23 | | | | | | | | | | | | REDUCE: (601), (19451) imply:
% 176.29/27.23 | | | | | | | | | | | | (19453) ~ (all_61_8 = e0)
% 176.29/27.23 | | | | | | | | | | | |
% 176.29/27.23 | | | | | | | | | | | | REDUCE: (19353), (19451) imply:
% 176.29/27.23 | | | | | | | | | | | | (19454) ~ (e2 = e0)
% 176.29/27.23 | | | | | | | | | | | |
% 176.29/27.23 | | | | | | | | | | | | REDUCE: (634), (19451) imply:
% 176.29/27.23 | | | | | | | | | | | | (19455) op(e0, e3) = all_65_0
% 176.29/27.23 | | | | | | | | | | | |
% 176.29/27.23 | | | | | | | | | | | | REDUCE: (17789), (19451) imply:
% 176.29/27.23 | | | | | | | | | | | | (19456) op(e0, e2) = all_65_16
% 176.29/27.23 | | | | | | | | | | | |
% 176.29/27.23 | | | | | | | | | | | | REDUCE: (19351), (19451) imply:
% 176.29/27.23 | | | | | | | | | | | | (19457) op(e0, e1) = all_65_32
% 176.29/27.23 | | | | | | | | | | | |
% 176.29/27.23 | | | | | | | | | | | | REDUCE: (637), (19451) imply:
% 176.29/27.23 | | | | | | | | | | | | (19458) op(e0, e0) = all_65_3
% 176.29/27.23 | | | | | | | | | | | |
% 176.29/27.23 | | | | | | | | | | | | REDUCE: (17764), (19451) imply:
% 176.29/27.23 | | | | | | | | | | | | (19459) op(all_6_1, e2) = e0
% 176.29/27.23 | | | | | | | | | | | |
% 176.29/27.23 | | | | | | | | | | | | REDUCE: (698), (19451) imply:
% 176.29/27.23 | | | | | | | | | | | | (19460) op(e3, e0) = all_65_0
% 176.29/27.23 | | | | | | | | | | | |
% 176.29/27.23 | | | | | | | | | | | | REDUCE: (715), (19451) imply:
% 176.29/27.23 | | | | | | | | | | | | (19461) op(e2, e0) = all_65_16
% 176.29/27.23 | | | | | | | | | | | |
% 176.29/27.23 | | | | | | | | | | | | REDUCE: (732), (19451) imply:
% 176.29/27.24 | | | | | | | | | | | | (19462) op(e1, e0) = all_65_32
% 176.29/27.24 | | | | | | | | | | | |
% 176.29/27.24 | | | | | | | | | | | | REDUCE: (749), (19451) imply:
% 176.29/27.24 | | | | | | | | | | | | (19463) op(e0, e0) = all_65_49
% 176.29/27.24 | | | | | | | | | | | |
% 176.29/27.24 | | | | | | | | | | | | BETA: splitting (113) gives:
% 176.29/27.24 | | | | | | | | | | | |
% 176.29/27.24 | | | | | | | | | | | | Case 1:
% 176.29/27.24 | | | | | | | | | | | | |
% 176.29/27.24 | | | | | | | | | | | | | (19464) ~ (all_44_2 = e0)
% 176.29/27.24 | | | | | | | | | | | | |
% 176.29/27.24 | | | | | | | | | | | | | REDUCE: (19452), (19464) imply:
% 176.29/27.24 | | | | | | | | | | | | | (19465) $false
% 176.29/27.24 | | | | | | | | | | | | |
% 176.29/27.24 | | | | | | | | | | | | | CLOSE: (19465) is inconsistent.
% 176.29/27.24 | | | | | | | | | | | | |
% 176.29/27.24 | | | | | | | | | | | | Case 2:
% 176.29/27.24 | | | | | | | | | | | | |
% 176.29/27.24 | | | | | | | | | | | | | (19466) op(e3, e0) = all_44_1 & $i(all_44_1) & ( ~
% 176.29/27.24 | | | | | | | | | | | | | (all_44_1 = e1) | ( ~ (all_44_0 = e2) & op(e1,
% 176.29/27.24 | | | | | | | | | | | | | e3) = all_44_0 & $i(all_44_0)))
% 176.29/27.24 | | | | | | | | | | | | |
% 176.29/27.24 | | | | | | | | | | | | | ALPHA: (19466) implies:
% 176.29/27.24 | | | | | | | | | | | | | (19467) op(e3, e0) = all_44_1
% 176.29/27.24 | | | | | | | | | | | | |
% 176.29/27.24 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_20_2, all_65_3, e0,
% 176.29/27.24 | | | | | | | | | | | | | e0, simplifying with (76), (19458) gives:
% 176.29/27.24 | | | | | | | | | | | | | (19468) all_65_3 = all_20_2
% 176.29/27.24 | | | | | | | | | | | | |
% 176.29/27.24 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_49, all_65_3, e0,
% 176.29/27.24 | | | | | | | | | | | | | e0, simplifying with (19458), (19463) gives:
% 176.29/27.24 | | | | | | | | | | | | | (19469) all_65_3 = all_65_49
% 176.29/27.24 | | | | | | | | | | | | |
% 176.29/27.24 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_11, all_65_32, e1,
% 176.29/27.24 | | | | | | | | | | | | | e0, simplifying with (224), (19457) gives:
% 176.29/27.24 | | | | | | | | | | | | | (19470) all_65_32 = all_61_11
% 176.29/27.24 | | | | | | | | | | | | |
% 176.29/27.24 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_7, all_65_16, e2,
% 176.29/27.24 | | | | | | | | | | | | | e0, simplifying with (225), (19456) gives:
% 176.29/27.24 | | | | | | | | | | | | | (19471) all_65_16 = all_61_7
% 176.29/27.24 | | | | | | | | | | | | |
% 176.29/27.24 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_3, all_65_0, e3,
% 176.29/27.24 | | | | | | | | | | | | | e0, simplifying with (226), (19455) gives:
% 176.29/27.24 | | | | | | | | | | | | | (19472) all_65_0 = all_61_3
% 176.29/27.24 | | | | | | | | | | | | |
% 176.29/27.24 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_14, all_65_32, e0,
% 176.29/27.24 | | | | | | | | | | | | | e1, simplifying with (227), (19462) gives:
% 176.29/27.24 | | | | | | | | | | | | | (19473) all_65_32 = all_61_14
% 176.29/27.24 | | | | | | | | | | | | |
% 176.29/27.24 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_13, all_65_16, e0,
% 176.29/27.24 | | | | | | | | | | | | | e2, simplifying with (231), (19461) gives:
% 176.29/27.24 | | | | | | | | | | | | | (19474) all_65_16 = all_61_13
% 176.29/27.24 | | | | | | | | | | | | |
% 176.29/27.24 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_12, all_44_1, e0,
% 176.29/27.24 | | | | | | | | | | | | | e3, simplifying with (235), (19467) gives:
% 176.29/27.24 | | | | | | | | | | | | | (19475) all_61_12 = all_44_1
% 176.29/27.24 | | | | | | | | | | | | |
% 176.29/27.24 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_12, all_65_0, e0,
% 176.29/27.24 | | | | | | | | | | | | | e3, simplifying with (235), (19460) gives:
% 176.29/27.24 | | | | | | | | | | | | | (19476) all_65_0 = all_61_12
% 176.29/27.24 | | | | | | | | | | | | |
% 176.29/27.24 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_36_1, all_65_0, e0,
% 176.29/27.24 | | | | | | | | | | | | | e3, simplifying with (19449), (19460) gives:
% 176.29/27.24 | | | | | | | | | | | | | (19477) all_65_0 = all_36_1
% 176.29/27.24 | | | | | | | | | | | | |
% 176.29/27.24 | | | | | | | | | | | | | COMBINE_EQS: (19476), (19477) imply:
% 176.29/27.24 | | | | | | | | | | | | | (19478) all_61_12 = all_36_1
% 176.29/27.24 | | | | | | | | | | | | |
% 176.29/27.24 | | | | | | | | | | | | | SIMP: (19478) implies:
% 176.29/27.24 | | | | | | | | | | | | | (19479) all_61_12 = all_36_1
% 176.29/27.24 | | | | | | | | | | | | |
% 176.29/27.24 | | | | | | | | | | | | | COMBINE_EQS: (19472), (19477) imply:
% 176.29/27.24 | | | | | | | | | | | | | (19480) all_61_3 = all_36_1
% 176.29/27.24 | | | | | | | | | | | | |
% 176.29/27.24 | | | | | | | | | | | | | SIMP: (19480) implies:
% 176.29/27.24 | | | | | | | | | | | | | (19481) all_61_3 = all_36_1
% 176.29/27.24 | | | | | | | | | | | | |
% 176.29/27.24 | | | | | | | | | | | | | COMBINE_EQS: (19468), (19469) imply:
% 176.29/27.24 | | | | | | | | | | | | | (19482) all_65_49 = all_20_2
% 176.29/27.24 | | | | | | | | | | | | |
% 176.29/27.24 | | | | | | | | | | | | | COMBINE_EQS: (19471), (19474) imply:
% 176.29/27.24 | | | | | | | | | | | | | (19483) all_61_7 = all_61_13
% 176.29/27.24 | | | | | | | | | | | | |
% 176.29/27.24 | | | | | | | | | | | | | SIMP: (19483) implies:
% 176.29/27.24 | | | | | | | | | | | | | (19484) all_61_7 = all_61_13
% 176.29/27.24 | | | | | | | | | | | | |
% 176.29/27.24 | | | | | | | | | | | | | COMBINE_EQS: (19470), (19473) imply:
% 176.29/27.24 | | | | | | | | | | | | | (19485) all_61_11 = all_61_14
% 176.29/27.24 | | | | | | | | | | | | |
% 176.29/27.24 | | | | | | | | | | | | | COMBINE_EQS: (19475), (19479) imply:
% 176.29/27.24 | | | | | | | | | | | | | (19486) all_44_1 = all_36_1
% 176.29/27.24 | | | | | | | | | | | | |
% 176.29/27.24 | | | | | | | | | | | | | REDUCE: (19316), (19484) imply:
% 176.29/27.24 | | | | | | | | | | | | | (19487) ~ (all_61_13 = all_10_1)
% 176.29/27.24 | | | | | | | | | | | | |
% 176.29/27.24 | | | | | | | | | | | | | REDUCE: (187), (19479) imply:
% 176.29/27.24 | | | | | | | | | | | | | (19488) ~ (all_61_8 = all_36_1)
% 176.29/27.24 | | | | | | | | | | | | |
% 176.29/27.24 | | | | | | | | | | | | | REDUCE: (180), (19479) imply:
% 176.29/27.24 | | | | | | | | | | | | | (19489) ~ (all_61_13 = all_36_1)
% 176.29/27.24 | | | | | | | | | | | | |
% 176.29/27.24 | | | | | | | | | | | | | SIMP: (19489) implies:
% 176.29/27.24 | | | | | | | | | | | | | (19490) ~ (all_61_13 = all_36_1)
% 176.29/27.24 | | | | | | | | | | | | |
% 176.29/27.24 | | | | | | | | | | | | | REDUCE: (682), (19481), (19482) imply:
% 176.29/27.24 | | | | | | | | | | | | | (19491) op(all_36_1, e3) = all_20_2
% 176.29/27.24 | | | | | | | | | | | | |
% 176.29/27.24 | | | | | | | | | | | | | REDUCE: (685), (19481) imply:
% 176.29/27.24 | | | | | | | | | | | | | (19492) op(all_36_1, e0) = all_65_55
% 176.29/27.24 | | | | | | | | | | | | |
% 176.29/27.24 | | | | | | | | | | | | | REDUCE: (17768), (19481), (19484) imply:
% 176.29/27.24 | | | | | | | | | | | | | (19493) op(all_61_13, e2) = all_36_1
% 176.29/27.24 | | | | | | | | | | | | |
% 176.29/27.24 | | | | | | | | | | | | | REDUCE: (689), (19484) imply:
% 176.29/27.24 | | | | | | | | | | | | | (19494) op(all_61_13, e0) = all_65_63
% 176.29/27.24 | | | | | | | | | | | | |
% 176.29/27.24 | | | | | | | | | | | | | REDUCE: (693), (19485) imply:
% 176.29/27.24 | | | | | | | | | | | | | (19495) op(all_61_14, e0) = all_65_71
% 176.29/27.24 | | | | | | | | | | | | |
% 176.29/27.24 | | | | | | | | | | | | | REDUCE: (646), (19479) imply:
% 176.29/27.24 | | | | | | | | | | | | | (19496) op(all_36_1, e3) = all_65_12
% 176.29/27.24 | | | | | | | | | | | | |
% 176.29/27.24 | | | | | | | | | | | | | REDUCE: (649), (19479) imply:
% 176.29/27.24 | | | | | | | | | | | | | (19497) op(all_36_1, e0) = all_65_15
% 176.29/27.24 | | | | | | | | | | | | |
% 176.29/27.24 | | | | | | | | | | | | | REDUCE: (761), (19481) imply:
% 176.29/27.24 | | | | | | | | | | | | | (19498) op(e0, all_36_1) = all_65_73
% 176.29/27.24 | | | | | | | | | | | | |
% 176.29/27.24 | | | | | | | | | | | | | REDUCE: (762), (19484) imply:
% 176.29/27.24 | | | | | | | | | | | | | (19499) op(e0, all_61_13) = all_65_75
% 176.29/27.24 | | | | | | | | | | | | |
% 176.29/27.24 | | | | | | | | | | | | | REDUCE: (763), (19485) imply:
% 176.29/27.24 | | | | | | | | | | | | | (19500) op(e0, all_61_14) = all_65_77
% 176.29/27.24 | | | | | | | | | | | | |
% 176.29/27.24 | | | | | | | | | | | | | REDUCE: (752), (19479) imply:
% 176.29/27.24 | | | | | | | | | | | | | (19501) op(e0, all_36_1) = all_65_55
% 176.29/27.24 | | | | | | | | | | | | |
% 176.29/27.24 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_73, all_65_55,
% 176.29/27.24 | | | | | | | | | | | | | all_36_1, e0, simplifying with (19498), (19501)
% 176.29/27.24 | | | | | | | | | | | | | gives:
% 176.29/27.24 | | | | | | | | | | | | | (19502) all_65_55 = all_65_73
% 176.29/27.24 | | | | | | | | | | | | |
% 176.29/27.24 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_71, all_65_77,
% 176.29/27.24 | | | | | | | | | | | | | all_61_14, e0, simplifying with (760), (19500)
% 176.29/27.24 | | | | | | | | | | | | | gives:
% 176.29/27.24 | | | | | | | | | | | | | (19503) all_65_71 = all_65_77
% 176.29/27.24 | | | | | | | | | | | | |
% 176.29/27.24 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_63, all_65_75,
% 176.29/27.24 | | | | | | | | | | | | | all_61_13, e0, simplifying with (756), (19499)
% 176.29/27.24 | | | | | | | | | | | | | gives:
% 176.29/27.24 | | | | | | | | | | | | | (19504) all_65_63 = all_65_75
% 176.29/27.24 | | | | | | | | | | | | |
% 176.29/27.24 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_55, all_65_15, e0,
% 176.29/27.24 | | | | | | | | | | | | | all_36_1, simplifying with (19492), (19497) gives:
% 176.29/27.24 | | | | | | | | | | | | | (19505) all_65_15 = all_65_55
% 176.29/27.24 | | | | | | | | | | | | |
% 176.29/27.24 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_20_2, all_65_12, e3,
% 176.29/27.24 | | | | | | | | | | | | | all_36_1, simplifying with (19491), (19496) gives:
% 176.29/27.24 | | | | | | | | | | | | | (19506) all_65_12 = all_20_2
% 176.29/27.24 | | | | | | | | | | | | |
% 176.29/27.24 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_47, all_65_71, e0,
% 176.29/27.24 | | | | | | | | | | | | | all_61_14, simplifying with (681), (19495) gives:
% 176.29/27.24 | | | | | | | | | | | | | (19507) all_65_47 = all_65_71
% 176.29/27.24 | | | | | | | | | | | | |
% 176.29/27.24 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_31, all_65_63, e0,
% 176.29/27.24 | | | | | | | | | | | | | all_61_13, simplifying with (665), (19494) gives:
% 176.29/27.24 | | | | | | | | | | | | | (19508) all_65_31 = all_65_63
% 176.29/27.24 | | | | | | | | | | | | |
% 176.29/27.24 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_29, all_36_1, e2,
% 176.29/27.24 | | | | | | | | | | | | | all_61_13, simplifying with (663), (19493) gives:
% 176.29/27.24 | | | | | | | | | | | | | (19509) all_65_29 = all_36_1
% 176.29/27.24 | | | | | | | | | | | | |
% 176.29/27.24 | | | | | | | | | | | | | COMBINE_EQS: (19503), (19507) imply:
% 176.29/27.24 | | | | | | | | | | | | | (19510) all_65_47 = all_65_77
% 176.29/27.24 | | | | | | | | | | | | |
% 176.29/27.24 | | | | | | | | | | | | | COMBINE_EQS: (19504), (19508) imply:
% 176.29/27.24 | | | | | | | | | | | | | (19511) all_65_31 = all_65_75
% 176.29/27.24 | | | | | | | | | | | | |
% 176.29/27.24 | | | | | | | | | | | | | COMBINE_EQS: (19502), (19505) imply:
% 176.29/27.24 | | | | | | | | | | | | | (19512) all_65_15 = all_65_73
% 176.29/27.24 | | | | | | | | | | | | |
% 176.29/27.24 | | | | | | | | | | | | | REDUCE: (19494), (19504) imply:
% 176.29/27.24 | | | | | | | | | | | | | (19513) op(all_61_13, e0) = all_65_75
% 176.29/27.24 | | | | | | | | | | | | |
% 176.29/27.24 | | | | | | | | | | | | | REDUCE: (713), (19512) imply:
% 176.29/27.24 | | | | | | | | | | | | | (19514) op(e3, all_20_2) = all_65_73
% 176.29/27.24 | | | | | | | | | | | | |
% 176.29/27.24 | | | | | | | | | | | | | REDUCE: (730), (19511) imply:
% 176.29/27.24 | | | | | | | | | | | | | (19515) op(e2, all_20_2) = all_65_75
% 176.29/27.24 | | | | | | | | | | | | |
% 176.29/27.24 | | | | | | | | | | | | | REDUCE: (747), (19510) imply:
% 176.29/27.24 | | | | | | | | | | | | | (19516) op(e1, all_20_2) = all_65_77
% 176.29/27.24 | | | | | | | | | | | | |
% 176.29/27.24 | | | | | | | | | | | | | BETA: splitting (110) gives:
% 176.29/27.24 | | | | | | | | | | | | |
% 176.29/27.24 | | | | | | | | | | | | | Case 1:
% 176.29/27.24 | | | | | | | | | | | | | |
% 176.29/27.24 | | | | | | | | | | | | | | (19517) ~ (all_42_2 = e1)
% 176.29/27.24 | | | | | | | | | | | | | |
% 176.29/27.24 | | | | | | | | | | | | | | REDUCE: (532), (19517) imply:
% 176.29/27.24 | | | | | | | | | | | | | | (19518) ~ (all_20_2 = e1)
% 176.29/27.24 | | | | | | | | | | | | | |
% 176.29/27.24 | | | | | | | | | | | | | | BETA: splitting (256) gives:
% 176.29/27.24 | | | | | | | | | | | | | |
% 176.29/27.24 | | | | | | | | | | | | | | Case 1:
% 176.29/27.24 | | | | | | | | | | | | | | |
% 176.29/27.24 | | | | | | | | | | | | | | | (19519) all_63_15 = e3
% 176.29/27.24 | | | | | | | | | | | | | | |
% 176.29/27.24 | | | | | | | | | | | | | | | REF_CLOSE: (422), (19356), (19519) are inconsistent by
% 176.29/27.24 | | | | | | | | | | | | | | | sub-proof #501.
% 176.29/27.24 | | | | | | | | | | | | | | |
% 176.29/27.24 | | | | | | | | | | | | | | Case 2:
% 176.29/27.24 | | | | | | | | | | | | | | |
% 176.29/27.24 | | | | | | | | | | | | | | | (19520) all_63_15 = e2 | all_63_15 = e1 | all_63_15 = e0
% 176.29/27.24 | | | | | | | | | | | | | | |
% 176.29/27.24 | | | | | | | | | | | | | | | BETA: splitting (19520) gives:
% 176.29/27.24 | | | | | | | | | | | | | | |
% 176.29/27.24 | | | | | | | | | | | | | | | Case 1:
% 176.29/27.24 | | | | | | | | | | | | | | | |
% 176.29/27.24 | | | | | | | | | | | | | | | | (19521) all_63_15 = e2
% 176.29/27.24 | | | | | | | | | | | | | | | |
% 176.29/27.24 | | | | | | | | | | | | | | | | REF_CLOSE: (422), (19354), (19521) are inconsistent by
% 176.29/27.24 | | | | | | | | | | | | | | | | sub-proof #500.
% 176.29/27.24 | | | | | | | | | | | | | | | |
% 176.29/27.24 | | | | | | | | | | | | | | | Case 2:
% 176.29/27.24 | | | | | | | | | | | | | | | |
% 176.29/27.24 | | | | | | | | | | | | | | | | (19522) all_63_15 = e1 | all_63_15 = e0
% 176.29/27.24 | | | | | | | | | | | | | | | |
% 176.29/27.24 | | | | | | | | | | | | | | | | BETA: splitting (19522) gives:
% 176.29/27.24 | | | | | | | | | | | | | | | |
% 176.29/27.24 | | | | | | | | | | | | | | | | Case 1:
% 176.29/27.24 | | | | | | | | | | | | | | | | |
% 176.29/27.24 | | | | | | | | | | | | | | | | | (19523) all_63_15 = e1
% 176.29/27.24 | | | | | | | | | | | | | | | | |
% 176.29/27.24 | | | | | | | | | | | | | | | | | REF_CLOSE: (422), (19518), (19523) are inconsistent by
% 176.29/27.24 | | | | | | | | | | | | | | | | | sub-proof #499.
% 176.29/27.24 | | | | | | | | | | | | | | | | |
% 176.29/27.24 | | | | | | | | | | | | | | | | Case 2:
% 176.29/27.24 | | | | | | | | | | | | | | | | |
% 176.29/27.24 | | | | | | | | | | | | | | | | | (19524) all_63_15 = e0
% 176.29/27.24 | | | | | | | | | | | | | | | | |
% 176.29/27.24 | | | | | | | | | | | | | | | | | COMBINE_EQS: (422), (19524) imply:
% 176.29/27.24 | | | | | | | | | | | | | | | | | (19525) all_20_2 = e0
% 176.29/27.24 | | | | | | | | | | | | | | | | |
% 176.29/27.24 | | | | | | | | | | | | | | | | | SIMP: (19525) implies:
% 176.29/27.24 | | | | | | | | | | | | | | | | | (19526) all_20_2 = e0
% 176.29/27.24 | | | | | | | | | | | | | | | | |
% 176.29/27.24 | | | | | | | | | | | | | | | | | REDUCE: (626), (19526) imply:
% 176.29/27.24 | | | | | | | | | | | | | | | | | (19527) ~ (all_61_13 = e0)
% 176.29/27.24 | | | | | | | | | | | | | | | | |
% 176.29/27.24 | | | | | | | | | | | | | | | | | REDUCE: (627), (19526) imply:
% 176.29/27.24 | | | | | | | | | | | | | | | | | (19528) ~ (all_61_14 = e0)
% 176.29/27.24 | | | | | | | | | | | | | | | | |
% 176.29/27.24 | | | | | | | | | | | | | | | | | REDUCE: (19491), (19526) imply:
% 176.29/27.24 | | | | | | | | | | | | | | | | | (19529) op(all_36_1, e3) = e0
% 176.29/27.24 | | | | | | | | | | | | | | | | |
% 176.29/27.24 | | | | | | | | | | | | | | | | | REDUCE: (19514), (19526) imply:
% 176.29/27.24 | | | | | | | | | | | | | | | | | (19530) op(e3, e0) = all_65_73
% 176.29/27.24 | | | | | | | | | | | | | | | | |
% 176.29/27.24 | | | | | | | | | | | | | | | | | REDUCE: (19515), (19526) imply:
% 176.29/27.24 | | | | | | | | | | | | | | | | | (19531) op(e2, e0) = all_65_75
% 176.29/27.24 | | | | | | | | | | | | | | | | |
% 176.29/27.24 | | | | | | | | | | | | | | | | | REDUCE: (19516), (19526) imply:
% 176.29/27.24 | | | | | | | | | | | | | | | | | (19532) op(e1, e0) = all_65_77
% 176.29/27.24 | | | | | | | | | | | | | | | | |
% 176.29/27.24 | | | | | | | | | | | | | | | | | REDUCE: (764), (19526) imply:
% 176.29/27.24 | | | | | | | | | | | | | | | | | (19533) op(e0, e0) = all_65_78
% 176.29/27.24 | | | | | | | | | | | | | | | | |
% 176.29/27.24 | | | | | | | | | | | | | | | | | REDUCE: (76), (19526) imply:
% 176.29/27.24 | | | | | | | | | | | | | | | | | (19534) op(e0, e0) = e0
% 176.29/27.24 | | | | | | | | | | | | | | | | |
% 176.29/27.24 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e0, all_65_78, e0, e0,
% 176.29/27.24 | | | | | | | | | | | | | | | | | simplifying with (19533), (19534) gives:
% 176.29/27.24 | | | | | | | | | | | | | | | | | (19535) all_65_78 = e0
% 176.29/27.24 | | | | | | | | | | | | | | | | |
% 176.29/27.24 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_14, all_65_77, e0,
% 176.29/27.24 | | | | | | | | | | | | | | | | | e1, simplifying with (227), (19532) gives:
% 176.29/27.24 | | | | | | | | | | | | | | | | | (19536) all_65_77 = all_61_14
% 176.29/27.24 | | | | | | | | | | | | | | | | |
% 176.29/27.24 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_13, all_65_75, e0,
% 176.29/27.24 | | | | | | | | | | | | | | | | | e2, simplifying with (231), (19531) gives:
% 176.29/27.24 | | | | | | | | | | | | | | | | | (19537) all_65_75 = all_61_13
% 176.29/27.24 | | | | | | | | | | | | | | | | |
% 176.29/27.24 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_36_1, all_65_73, e0,
% 176.29/27.24 | | | | | | | | | | | | | | | | | e3, simplifying with (19449), (19530) gives:
% 176.29/27.24 | | | | | | | | | | | | | | | | | (19538) all_65_73 = all_36_1
% 176.29/27.24 | | | | | | | | | | | | | | | | |
% 176.29/27.24 | | | | | | | | | | | | | | | | | REDUCE: (19513), (19537) imply:
% 176.29/27.24 | | | | | | | | | | | | | | | | | (19539) op(all_61_13, e0) = all_61_13
% 176.29/27.24 | | | | | | | | | | | | | | | | |
% 176.29/27.24 | | | | | | | | | | | | | | | | | BETA: splitting (163) gives:
% 176.29/27.24 | | | | | | | | | | | | | | | | |
% 176.29/27.24 | | | | | | | | | | | | | | | | | Case 1:
% 176.29/27.24 | | | | | | | | | | | | | | | | | |
% 176.29/27.24 | | | | | | | | | | | | | | | | | | (19540) ~ (all_58_1 = e0)
% 176.29/27.24 | | | | | | | | | | | | | | | | | |
% 176.29/27.24 | | | | | | | | | | | | | | | | | | REDUCE: (481), (19540) imply:
% 176.29/27.24 | | | | | | | | | | | | | | | | | | (19541) ~ (all_52_1 = e0)
% 176.29/27.24 | | | | | | | | | | | | | | | | | |
% 176.29/27.24 | | | | | | | | | | | | | | | | | | BETA: splitting (158) gives:
% 176.29/27.24 | | | | | | | | | | | | | | | | | |
% 176.29/27.24 | | | | | | | | | | | | | | | | | | Case 1:
% 176.29/27.24 | | | | | | | | | | | | | | | | | | |
% 176.29/27.24 | | | | | | | | | | | | | | | | | | | (19542) ~ (all_58_3 = e2)
% 176.29/27.24 | | | | | | | | | | | | | | | | | | |
% 176.29/27.24 | | | | | | | | | | | | | | | | | | | REDUCE: (475), (19542) imply:
% 176.29/27.24 | | | | | | | | | | | | | | | | | | | (19543) ~ (all_52_3 = e2)
% 176.29/27.24 | | | | | | | | | | | | | | | | | | |
% 176.29/27.24 | | | | | | | | | | | | | | | | | | | BETA: splitting (157) gives:
% 176.29/27.24 | | | | | | | | | | | | | | | | | | |
% 176.29/27.24 | | | | | | | | | | | | | | | | | | | Case 1:
% 176.29/27.24 | | | | | | | | | | | | | | | | | | | |
% 176.29/27.24 | | | | | | | | | | | | | | | | | | | | (19544) ~ (all_58_3 = e1)
% 176.29/27.24 | | | | | | | | | | | | | | | | | | | |
% 176.29/27.24 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (10), (50), (148), (159), (227), (269),
% 176.29/27.24 | | | | | | | | | | | | | | | | | | | | (475), (484), (489), (539), (630), (714), (765),
% 176.29/27.24 | | | | | | | | | | | | | | | | | | | | (19339), (19341), (19449), (19453), (19488),
% 176.29/27.24 | | | | | | | | | | | | | | | | | | | | (19529), (19534), (19543), (19544) are
% 176.29/27.24 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #257.
% 176.29/27.24 | | | | | | | | | | | | | | | | | | | |
% 176.29/27.24 | | | | | | | | | | | | | | | | | | | Case 2:
% 176.29/27.24 | | | | | | | | | | | | | | | | | | | |
% 176.29/27.24 | | | | | | | | | | | | | | | | | | | | (19545) all_58_3 = e1
% 176.29/27.24 | | | | | | | | | | | | | | | | | | | | (19546) all_58_2 = e0
% 176.29/27.24 | | | | | | | | | | | | | | | | | | | |
% 176.29/27.24 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (478), (19546) imply:
% 176.29/27.24 | | | | | | | | | | | | | | | | | | | | (19547) all_52_2 = e0
% 176.29/27.24 | | | | | | | | | | | | | | | | | | | |
% 176.29/27.24 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (475), (19545) imply:
% 176.29/27.24 | | | | | | | | | | | | | | | | | | | | (19548) all_52_3 = e1
% 176.29/27.24 | | | | | | | | | | | | | | | | | | | |
% 176.29/27.24 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (50), (224), (227), (693), (748), (765),
% 176.29/27.24 | | | | | | | | | | | | | | | | | | | | (18012), (19282), (19528), (19547), (19548) are
% 176.29/27.24 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #222.
% 176.29/27.24 | | | | | | | | | | | | | | | | | | | |
% 176.29/27.24 | | | | | | | | | | | | | | | | | | | End of split
% 176.29/27.24 | | | | | | | | | | | | | | | | | | |
% 176.29/27.24 | | | | | | | | | | | | | | | | | | Case 2:
% 176.29/27.24 | | | | | | | | | | | | | | | | | | |
% 176.29/27.24 | | | | | | | | | | | | | | | | | | | (19549) all_58_1 = e0
% 176.29/27.24 | | | | | | | | | | | | | | | | | | |
% 176.29/27.24 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (481), (19541), (19549) are inconsistent by
% 176.29/27.24 | | | | | | | | | | | | | | | | | | | sub-proof #462.
% 176.29/27.24 | | | | | | | | | | | | | | | | | | |
% 176.29/27.24 | | | | | | | | | | | | | | | | | | End of split
% 176.29/27.24 | | | | | | | | | | | | | | | | | |
% 176.29/27.24 | | | | | | | | | | | | | | | | | Case 2:
% 176.29/27.24 | | | | | | | | | | | | | | | | | |
% 176.29/27.24 | | | | | | | | | | | | | | | | | | (19550) all_58_1 = e0
% 176.29/27.24 | | | | | | | | | | | | | | | | | |
% 176.29/27.24 | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (50), (231), (481), (731), (19527), (19539),
% 176.29/27.24 | | | | | | | | | | | | | | | | | | (19550) are inconsistent by sub-proof #87.
% 176.29/27.24 | | | | | | | | | | | | | | | | | |
% 176.29/27.24 | | | | | | | | | | | | | | | | | End of split
% 176.29/27.24 | | | | | | | | | | | | | | | | |
% 176.29/27.24 | | | | | | | | | | | | | | | | End of split
% 176.29/27.24 | | | | | | | | | | | | | | | |
% 176.29/27.24 | | | | | | | | | | | | | | | End of split
% 176.29/27.24 | | | | | | | | | | | | | | |
% 176.29/27.24 | | | | | | | | | | | | | | End of split
% 176.29/27.24 | | | | | | | | | | | | | |
% 176.29/27.24 | | | | | | | | | | | | | Case 2:
% 176.29/27.24 | | | | | | | | | | | | | |
% 176.29/27.24 | | | | | | | | | | | | | | (19551) all_42_2 = e1
% 176.29/27.24 | | | | | | | | | | | | | |
% 176.29/27.24 | | | | | | | | | | | | | | COMBINE_EQS: (532), (19551) imply:
% 176.29/27.24 | | | | | | | | | | | | | | (19552) all_20_2 = e1
% 176.29/27.24 | | | | | | | | | | | | | |
% 176.29/27.24 | | | | | | | | | | | | | | SIMP: (19552) implies:
% 176.29/27.24 | | | | | | | | | | | | | | (19553) all_20_2 = e1
% 176.29/27.24 | | | | | | | | | | | | | |
% 176.29/27.24 | | | | | | | | | | | | | | COMBINE_EQS: (582), (19553) imply:
% 176.29/27.24 | | | | | | | | | | | | | | (19554) all_50_2 = e1
% 176.29/27.24 | | | | | | | | | | | | | |
% 176.29/27.24 | | | | | | | | | | | | | | REDUCE: (626), (19553) imply:
% 176.29/27.24 | | | | | | | | | | | | | | (19555) ~ (all_61_13 = e1)
% 176.29/27.24 | | | | | | | | | | | | | |
% 176.29/27.24 | | | | | | | | | | | | | | REDUCE: (19515), (19553) imply:
% 176.29/27.24 | | | | | | | | | | | | | | (19556) op(e2, e1) = all_65_75
% 176.29/27.24 | | | | | | | | | | | | | |
% 176.29/27.24 | | | | | | | | | | | | | | BETA: splitting (122) gives:
% 176.29/27.24 | | | | | | | | | | | | | |
% 176.29/27.24 | | | | | | | | | | | | | | Case 1:
% 176.29/27.24 | | | | | | | | | | | | | | |
% 176.29/27.24 | | | | | | | | | | | | | | | (19557) ~ (all_50_2 = e1)
% 176.29/27.24 | | | | | | | | | | | | | | |
% 176.29/27.24 | | | | | | | | | | | | | | | REDUCE: (19554), (19557) imply:
% 176.29/27.24 | | | | | | | | | | | | | | | (19558) $false
% 176.29/27.24 | | | | | | | | | | | | | | |
% 176.29/27.24 | | | | | | | | | | | | | | | CLOSE: (19558) is inconsistent.
% 176.29/27.24 | | | | | | | | | | | | | | |
% 176.29/27.24 | | | | | | | | | | | | | | Case 2:
% 176.29/27.24 | | | | | | | | | | | | | | |
% 176.29/27.24 | | | | | | | | | | | | | | |
% 176.29/27.24 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_10_1, all_65_75, e1,
% 176.29/27.24 | | | | | | | | | | | | | | | e2, simplifying with (19330), (19556) gives:
% 176.29/27.24 | | | | | | | | | | | | | | | (19559) all_65_75 = all_10_1
% 176.29/27.24 | | | | | | | | | | | | | | |
% 176.29/27.24 | | | | | | | | | | | | | | | REDUCE: (19513), (19559) imply:
% 176.29/27.24 | | | | | | | | | | | | | | | (19560) op(all_61_13, e0) = all_10_1
% 176.29/27.24 | | | | | | | | | | | | | | |
% 176.29/27.24 | | | | | | | | | | | | | | | BETA: splitting (158) gives:
% 176.29/27.24 | | | | | | | | | | | | | | |
% 176.29/27.24 | | | | | | | | | | | | | | | Case 1:
% 176.29/27.24 | | | | | | | | | | | | | | | |
% 176.29/27.24 | | | | | | | | | | | | | | | | (19561) ~ (all_58_3 = e2)
% 176.29/27.24 | | | | | | | | | | | | | | | |
% 176.29/27.24 | | | | | | | | | | | | | | | | REDUCE: (475), (19561) imply:
% 176.29/27.24 | | | | | | | | | | | | | | | | (19562) ~ (all_52_3 = e2)
% 176.29/27.24 | | | | | | | | | | | | | | | |
% 176.29/27.24 | | | | | | | | | | | | | | | | REF_CLOSE: (9), (19), (50), (150), (161), (163), (164),
% 176.29/27.24 | | | | | | | | | | | | | | | | (165), (168), (229), (232), (475), (478), (481),
% 176.29/27.24 | | | | | | | | | | | | | | | | (484), (536), (659), (714), (724), (731), (748),
% 176.29/27.24 | | | | | | | | | | | | | | | | (17713), (17771), (17773), (18011), (19341),
% 176.29/27.24 | | | | | | | | | | | | | | | | (19459), (19562) are inconsistent by sub-proof
% 176.29/27.24 | | | | | | | | | | | | | | | | #65.
% 176.29/27.24 | | | | | | | | | | | | | | | |
% 176.29/27.24 | | | | | | | | | | | | | | | Case 2:
% 176.29/27.24 | | | | | | | | | | | | | | | |
% 176.29/27.24 | | | | | | | | | | | | | | | | (19563) all_58_1 = e0
% 176.29/27.24 | | | | | | | | | | | | | | | |
% 176.29/27.24 | | | | | | | | | | | | | | | | COMBINE_EQS: (481), (19563) imply:
% 176.29/27.24 | | | | | | | | | | | | | | | | (19564) all_52_1 = e0
% 176.29/27.24 | | | | | | | | | | | | | | | |
% 176.29/27.24 | | | | | | | | | | | | | | | | SIMP: (19564) implies:
% 176.29/27.24 | | | | | | | | | | | | | | | | (19565) all_52_1 = e0
% 176.29/27.24 | | | | | | | | | | | | | | | |
% 176.29/27.24 | | | | | | | | | | | | | | | | REDUCE: (731), (19565) imply:
% 176.29/27.24 | | | | | | | | | | | | | | | | (19566) op(e2, e0) = unit
% 176.29/27.24 | | | | | | | | | | | | | | | |
% 176.29/27.24 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_13, unit, e0, e2,
% 176.29/27.24 | | | | | | | | | | | | | | | | simplifying with (231), (19566) gives:
% 176.29/27.24 | | | | | | | | | | | | | | | | (19567) all_61_13 = unit
% 176.29/27.24 | | | | | | | | | | | | | | | |
% 176.29/27.24 | | | | | | | | | | | | | | | | REDUCE: (19490), (19567) imply:
% 176.29/27.24 | | | | | | | | | | | | | | | | (19568) ~ (all_36_1 = unit)
% 176.29/27.24 | | | | | | | | | | | | | | | |
% 176.29/27.24 | | | | | | | | | | | | | | | | SIMP: (19568) implies:
% 176.29/27.24 | | | | | | | | | | | | | | | | (19569) ~ (all_36_1 = unit)
% 176.29/27.24 | | | | | | | | | | | | | | | |
% 176.29/27.24 | | | | | | | | | | | | | | | | REDUCE: (19487), (19567) imply:
% 176.29/27.24 | | | | | | | | | | | | | | | | (19570) ~ (all_10_1 = unit)
% 176.29/27.24 | | | | | | | | | | | | | | | |
% 176.29/27.24 | | | | | | | | | | | | | | | | SIMP: (19570) implies:
% 176.29/27.24 | | | | | | | | | | | | | | | | (19571) ~ (all_10_1 = unit)
% 176.29/27.24 | | | | | | | | | | | | | | | |
% 176.29/27.24 | | | | | | | | | | | | | | | | REDUCE: (19555), (19567) imply:
% 176.29/27.24 | | | | | | | | | | | | | | | | (19572) ~ (unit = e1)
% 176.29/27.24 | | | | | | | | | | | | | | | |
% 176.29/27.24 | | | | | | | | | | | | | | | | REDUCE: (19493), (19567) imply:
% 176.29/27.24 | | | | | | | | | | | | | | | | (19573) op(unit, e2) = all_36_1
% 176.29/27.24 | | | | | | | | | | | | | | | |
% 176.29/27.24 | | | | | | | | | | | | | | | | REDUCE: (19560), (19567) imply:
% 176.29/27.24 | | | | | | | | | | | | | | | | (19574) op(unit, e0) = all_10_1
% 176.29/27.24 | | | | | | | | | | | | | | | |
% 176.29/27.24 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e0, all_10_1, e0, unit,
% 176.29/27.24 | | | | | | | | | | | | | | | | simplifying with (7), (19574) gives:
% 176.29/27.24 | | | | | | | | | | | | | | | | (19575) all_10_1 = e0
% 176.29/27.24 | | | | | | | | | | | | | | | |
% 176.29/27.24 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e2, all_36_1, e2, unit,
% 176.29/27.24 | | | | | | | | | | | | | | | | simplifying with (9), (19573) gives:
% 176.29/27.24 | | | | | | | | | | | | | | | | (19576) all_36_1 = e2
% 176.29/27.24 | | | | | | | | | | | | | | | |
% 176.29/27.24 | | | | | | | | | | | | | | | | REDUCE: (19569), (19576) imply:
% 176.29/27.24 | | | | | | | | | | | | | | | | (19577) ~ (unit = e2)
% 176.29/27.24 | | | | | | | | | | | | | | | |
% 176.29/27.24 | | | | | | | | | | | | | | | | SIMP: (19577) implies:
% 176.29/27.24 | | | | | | | | | | | | | | | | (19578) ~ (unit = e2)
% 176.29/27.24 | | | | | | | | | | | | | | | |
% 176.29/27.24 | | | | | | | | | | | | | | | | REF_CLOSE: (18012), (19571), (19572), (19575), (19578) are
% 176.29/27.24 | | | | | | | | | | | | | | | | inconsistent by sub-proof #248.
% 176.29/27.24 | | | | | | | | | | | | | | | |
% 176.29/27.24 | | | | | | | | | | | | | | | End of split
% 176.29/27.24 | | | | | | | | | | | | | | |
% 176.29/27.24 | | | | | | | | | | | | | | End of split
% 176.29/27.24 | | | | | | | | | | | | | |
% 176.29/27.24 | | | | | | | | | | | | | End of split
% 176.29/27.24 | | | | | | | | | | | | |
% 176.29/27.24 | | | | | | | | | | | | End of split
% 176.29/27.24 | | | | | | | | | | | |
% 176.29/27.24 | | | | | | | | | | | End of split
% 176.29/27.24 | | | | | | | | | | |
% 176.29/27.24 | | | | | | | | | | Case 2:
% 176.29/27.24 | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | (19579) all_28_2 = e3
% 176.29/27.25 | | | | | | | | | | | (19580) op(e0, e3) = all_28_1 & $i(all_28_1) & ( ~
% 176.29/27.25 | | | | | | | | | | | (all_28_1 = e2) | ( ~ (all_28_0 = e1) & op(e2,
% 176.29/27.25 | | | | | | | | | | | e0) = all_28_0 & $i(all_28_0)))
% 176.29/27.25 | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | ALPHA: (19580) implies:
% 176.29/27.25 | | | | | | | | | | | (19581) op(e0, e3) = all_28_1
% 176.29/27.25 | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | COMBINE_EQS: (563), (19579) imply:
% 176.29/27.25 | | | | | | | | | | | (19582) all_20_2 = e3
% 176.29/27.25 | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | SIMP: (19582) implies:
% 176.29/27.25 | | | | | | | | | | | (19583) all_20_2 = e3
% 176.29/27.25 | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | REDUCE: (694), (19583) imply:
% 176.29/27.25 | | | | | | | | | | | (19584) op(e3, e3) = all_65_73
% 176.29/27.25 | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | REDUCE: (695), (19583) imply:
% 176.29/27.25 | | | | | | | | | | | (19585) op(e3, e2) = all_65_75
% 176.29/27.25 | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | REDUCE: (696), (19583) imply:
% 176.29/27.25 | | | | | | | | | | | (19586) op(e3, e1) = all_65_77
% 176.29/27.25 | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | REDUCE: (697), (19583) imply:
% 176.29/27.25 | | | | | | | | | | | (19587) op(e3, e0) = all_65_78
% 176.29/27.25 | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | REDUCE: (713), (19583) imply:
% 176.29/27.25 | | | | | | | | | | | (19588) op(e3, e3) = all_65_15
% 176.29/27.25 | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | REDUCE: (730), (19583) imply:
% 176.29/27.25 | | | | | | | | | | | (19589) op(e2, e3) = all_65_31
% 176.29/27.25 | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | REDUCE: (747), (19583) imply:
% 176.29/27.25 | | | | | | | | | | | (19590) op(e1, e3) = all_65_47
% 176.29/27.25 | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | REDUCE: (764), (19583) imply:
% 176.29/27.25 | | | | | | | | | | | (19591) op(e0, e3) = all_65_78
% 176.29/27.25 | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | REDUCE: (76), (19583) imply:
% 176.29/27.25 | | | | | | | | | | | (19592) op(e0, e0) = e3
% 176.29/27.25 | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_3, all_65_78, e3,
% 176.29/27.25 | | | | | | | | | | | e0, simplifying with (226), (19591) gives:
% 176.29/27.25 | | | | | | | | | | | (19593) all_65_78 = all_61_3
% 176.29/27.25 | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | GROUND_INST: instantiating (50) with all_28_1, all_65_78, e3,
% 176.29/27.25 | | | | | | | | | | | e0, simplifying with (19581), (19591) gives:
% 176.29/27.25 | | | | | | | | | | | (19594) all_65_78 = all_28_1
% 176.29/27.25 | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_8, all_65_47, e3,
% 176.29/27.25 | | | | | | | | | | | e1, simplifying with (19346), (19590) gives:
% 176.29/27.25 | | | | | | | | | | | (19595) all_65_47 = all_61_8
% 176.29/27.25 | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | GROUND_INST: instantiating (50) with all_6_1, all_65_31, e3,
% 176.29/27.25 | | | | | | | | | | | e2, simplifying with (17699), (19589) gives:
% 176.29/27.25 | | | | | | | | | | | (19596) all_65_31 = all_6_1
% 176.29/27.25 | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_12, all_65_78, e0,
% 176.29/27.25 | | | | | | | | | | | e3, simplifying with (235), (19587) gives:
% 176.29/27.25 | | | | | | | | | | | (19597) all_65_78 = all_61_12
% 176.29/27.25 | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_8, all_65_77, e1,
% 176.29/27.25 | | | | | | | | | | | e3, simplifying with (236), (19586) gives:
% 176.29/27.25 | | | | | | | | | | | (19598) all_65_77 = all_61_8
% 176.29/27.25 | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | GROUND_INST: instantiating (50) with all_6_1, all_65_75, e2,
% 176.29/27.25 | | | | | | | | | | | e3, simplifying with (17771), (19585) gives:
% 176.29/27.25 | | | | | | | | | | | (19599) all_65_75 = all_6_1
% 176.29/27.25 | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | GROUND_INST: instantiating (50) with all_14_2, all_65_15, e3,
% 176.29/27.25 | | | | | | | | | | | e3, simplifying with (67), (19588) gives:
% 176.29/27.25 | | | | | | | | | | | (19600) all_65_15 = all_14_2
% 176.29/27.25 | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_73, all_65_15, e3,
% 176.29/27.25 | | | | | | | | | | | e3, simplifying with (19584), (19588) gives:
% 176.29/27.25 | | | | | | | | | | | (19601) all_65_15 = all_65_73
% 176.29/27.25 | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | COMBINE_EQS: (19600), (19601) imply:
% 176.29/27.25 | | | | | | | | | | | (19602) all_65_73 = all_14_2
% 176.29/27.25 | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | COMBINE_EQS: (19594), (19597) imply:
% 176.29/27.25 | | | | | | | | | | | (19603) all_61_12 = all_28_1
% 176.29/27.25 | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | SIMP: (19603) implies:
% 176.29/27.25 | | | | | | | | | | | (19604) all_61_12 = all_28_1
% 176.29/27.25 | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | COMBINE_EQS: (19593), (19594) imply:
% 176.29/27.25 | | | | | | | | | | | (19605) all_61_3 = all_28_1
% 176.29/27.25 | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | SIMP: (19605) implies:
% 176.29/27.25 | | | | | | | | | | | (19606) all_61_3 = all_28_1
% 176.29/27.25 | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | REDUCE: (207), (19606) imply:
% 176.29/27.25 | | | | | | | | | | | (19607) ~ (all_61_7 = all_28_1)
% 176.29/27.25 | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | SIMP: (19607) implies:
% 176.29/27.25 | | | | | | | | | | | (19608) ~ (all_61_7 = all_28_1)
% 176.29/27.25 | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | REDUCE: (206), (19606) imply:
% 176.29/27.25 | | | | | | | | | | | (19609) ~ (all_61_11 = all_28_1)
% 176.29/27.25 | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | SIMP: (19609) implies:
% 176.29/27.25 | | | | | | | | | | | (19610) ~ (all_61_11 = all_28_1)
% 176.29/27.25 | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | REDUCE: (682), (19606) imply:
% 176.29/27.25 | | | | | | | | | | | (19611) op(all_28_1, e3) = all_65_49
% 176.29/27.25 | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | REDUCE: (17768), (19606) imply:
% 176.29/27.25 | | | | | | | | | | | (19612) op(all_61_7, e2) = all_28_1
% 176.29/27.25 | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | REDUCE: (646), (19604) imply:
% 176.29/27.25 | | | | | | | | | | | (19613) op(all_28_1, e3) = all_65_12
% 176.29/27.25 | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | REDUCE: (665), (19596) imply:
% 176.29/27.25 | | | | | | | | | | | (19614) op(all_61_13, e0) = all_6_1
% 176.29/27.25 | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | REDUCE: (681), (19595) imply:
% 176.29/27.25 | | | | | | | | | | | (19615) op(all_61_14, e0) = all_61_8
% 176.29/27.25 | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | REDUCE: (710), (19606) imply:
% 176.29/27.25 | | | | | | | | | | | (19616) op(e3, all_28_1) = all_65_12
% 176.29/27.25 | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | REDUCE: (701), (19604) imply:
% 176.29/27.25 | | | | | | | | | | | (19617) op(e3, all_28_1) = all_65_3
% 176.29/27.25 | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_12, all_65_3,
% 176.29/27.25 | | | | | | | | | | | all_28_1, e3, simplifying with (19616), (19617)
% 176.29/27.25 | | | | | | | | | | | gives:
% 176.29/27.25 | | | | | | | | | | | (19618) all_65_3 = all_65_12
% 176.29/27.25 | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_49, all_65_12, e3,
% 176.29/27.25 | | | | | | | | | | | all_28_1, simplifying with (19611), (19613) gives:
% 176.29/27.25 | | | | | | | | | | | (19619) all_65_12 = all_65_49
% 176.29/27.25 | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | COMBINE_EQS: (19618), (19619) imply:
% 176.29/27.25 | | | | | | | | | | | (19620) all_65_3 = all_65_49
% 176.29/27.25 | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | REDUCE: (637), (19620) imply:
% 176.29/27.25 | | | | | | | | | | | (19621) op(all_14_2, e0) = all_65_49
% 176.29/27.25 | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | BETA: splitting (101) gives:
% 176.29/27.25 | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | Case 1:
% 176.29/27.25 | | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | | (19622) ~ (all_36_2 = e0)
% 176.29/27.25 | | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | | REDUCE: (557), (19622) imply:
% 176.29/27.25 | | | | | | | | | | | | (19623) ~ (all_14_2 = e0)
% 176.29/27.25 | | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | | BETA: splitting (107) gives:
% 176.29/27.25 | | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | | Case 1:
% 176.29/27.25 | | | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | | | (19624) ~ (all_40_2 = e1)
% 176.29/27.25 | | | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | | | REDUCE: (553), (19624) imply:
% 176.29/27.25 | | | | | | | | | | | | | (19625) ~ (all_14_2 = e1)
% 176.29/27.25 | | | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | | | REF_CLOSE: (10), (50), (67), (151), (159), (162), (165),
% 176.29/27.25 | | | | | | | | | | | | | (166), (167), (168), (226), (230), (234), (235),
% 176.29/27.25 | | | | | | | | | | | | | (236), (237), (271), (475), (478), (481), (484),
% 176.29/27.25 | | | | | | | | | | | | | (534), (588), (599), (601), (603), (635), (636),
% 176.29/27.25 | | | | | | | | | | | | | (637), (638), (642), (646), (650), (666), (682),
% 176.29/27.25 | | | | | | | | | | | | | (698), (714), (715), (731), (732), (748), (749),
% 176.29/27.25 | | | | | | | | | | | | | (765), (18011), (19353), (19623), (19625) are
% 176.29/27.25 | | | | | | | | | | | | | inconsistent by sub-proof #502.
% 176.29/27.25 | | | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | | Case 2:
% 176.29/27.25 | | | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | | | (19626) all_40_2 = e1
% 176.29/27.25 | | | | | | | | | | | | | (19627) op(e3, e1) = all_40_1 & $i(all_40_1) & ( ~
% 176.29/27.25 | | | | | | | | | | | | | (all_40_1 = e0) | ( ~ (all_40_0 = e2) & op(e0,
% 176.29/27.25 | | | | | | | | | | | | | e3) = all_40_0 & $i(all_40_0)))
% 176.29/27.25 | | | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | | | ALPHA: (19627) implies:
% 176.29/27.25 | | | | | | | | | | | | | (19628) op(e3, e1) = all_40_1
% 176.29/27.25 | | | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | | | COMBINE_EQS: (553), (19626) imply:
% 176.29/27.25 | | | | | | | | | | | | | (19629) all_14_2 = e1
% 176.29/27.25 | | | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | | | COMBINE_EQS: (466), (19629) imply:
% 176.29/27.25 | | | | | | | | | | | | | (19630) all_48_2 = e1
% 176.29/27.25 | | | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | | | REDUCE: (601), (19629) imply:
% 176.29/27.25 | | | | | | | | | | | | | (19631) ~ (all_61_8 = e1)
% 176.29/27.25 | | | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | | | REDUCE: (19353), (19629) imply:
% 176.29/27.25 | | | | | | | | | | | | | (19632) ~ (e2 = e1)
% 176.29/27.25 | | | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | | | REDUCE: (19621), (19629) imply:
% 176.29/27.25 | | | | | | | | | | | | | (19633) op(e1, e0) = all_65_49
% 176.29/27.25 | | | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | | | REDUCE: (17764), (19629) imply:
% 176.29/27.25 | | | | | | | | | | | | | (19634) op(all_6_1, e2) = e1
% 176.29/27.25 | | | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | | | REDUCE: (698), (19629) imply:
% 176.29/27.25 | | | | | | | | | | | | | (19635) op(e3, e1) = all_65_0
% 176.29/27.25 | | | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | | | REDUCE: (749), (19629) imply:
% 176.29/27.25 | | | | | | | | | | | | | (19636) op(e0, e1) = all_65_49
% 176.29/27.25 | | | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | | | BETA: splitting (119) gives:
% 176.29/27.25 | | | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | | | Case 1:
% 176.29/27.25 | | | | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | | | | (19637) ~ (all_48_2 = e1)
% 176.29/27.25 | | | | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | | | | REDUCE: (19630), (19637) imply:
% 176.29/27.25 | | | | | | | | | | | | | | (19638) $false
% 176.29/27.25 | | | | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | | | | CLOSE: (19638) is inconsistent.
% 176.29/27.25 | | | | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | | | Case 2:
% 176.29/27.25 | | | | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | | | | (19639) op(e3, e1) = all_48_1 & $i(all_48_1) & ( ~
% 176.29/27.25 | | | | | | | | | | | | | | (all_48_1 = e2) | ( ~ (all_48_0 = e0) & op(e2,
% 176.29/27.25 | | | | | | | | | | | | | | e3) = all_48_0 & $i(all_48_0)))
% 176.29/27.25 | | | | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | | | | ALPHA: (19639) implies:
% 176.29/27.25 | | | | | | | | | | | | | | (19640) op(e3, e1) = all_48_1
% 176.29/27.25 | | | | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_11, all_65_49, e1,
% 176.29/27.25 | | | | | | | | | | | | | | e0, simplifying with (224), (19636) gives:
% 176.29/27.25 | | | | | | | | | | | | | | (19641) all_65_49 = all_61_11
% 176.29/27.25 | | | | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_14, all_65_49, e0,
% 176.29/27.25 | | | | | | | | | | | | | | e1, simplifying with (227), (19633) gives:
% 176.29/27.25 | | | | | | | | | | | | | | (19642) all_65_49 = all_61_14
% 176.29/27.25 | | | | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_8, all_48_1, e1,
% 176.29/27.25 | | | | | | | | | | | | | | e3, simplifying with (236), (19640) gives:
% 176.29/27.25 | | | | | | | | | | | | | | (19643) all_61_8 = all_48_1
% 176.29/27.25 | | | | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_8, all_65_0, e1,
% 176.29/27.25 | | | | | | | | | | | | | | e3, simplifying with (236), (19635) gives:
% 176.29/27.25 | | | | | | | | | | | | | | (19644) all_65_0 = all_61_8
% 176.29/27.25 | | | | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_40_1, all_65_0, e1,
% 176.29/27.25 | | | | | | | | | | | | | | e3, simplifying with (19628), (19635) gives:
% 176.29/27.25 | | | | | | | | | | | | | | (19645) all_65_0 = all_40_1
% 176.29/27.25 | | | | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | | | | COMBINE_EQS: (19644), (19645) imply:
% 176.29/27.25 | | | | | | | | | | | | | | (19646) all_61_8 = all_40_1
% 176.29/27.25 | | | | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | | | | SIMP: (19646) implies:
% 176.29/27.25 | | | | | | | | | | | | | | (19647) all_61_8 = all_40_1
% 176.29/27.25 | | | | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | | | | COMBINE_EQS: (19641), (19642) imply:
% 176.29/27.25 | | | | | | | | | | | | | | (19648) all_61_11 = all_61_14
% 176.29/27.25 | | | | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | | | | SIMP: (19648) implies:
% 176.29/27.25 | | | | | | | | | | | | | | (19649) all_61_11 = all_61_14
% 176.29/27.25 | | | | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | | | | COMBINE_EQS: (19643), (19647) imply:
% 176.29/27.25 | | | | | | | | | | | | | | (19650) all_48_1 = all_40_1
% 176.29/27.25 | | | | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | | | | COMBINE_EQS: (510), (19649) imply:
% 176.29/27.25 | | | | | | | | | | | | | | (19651) all_63_14 = all_61_14
% 176.29/27.25 | | | | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | | | | COMBINE_EQS: (489), (19647) imply:
% 176.29/27.25 | | | | | | | | | | | | | | (19652) all_63_2 = all_40_1
% 176.29/27.25 | | | | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | | | | REDUCE: (192), (19649) imply:
% 176.29/27.25 | | | | | | | | | | | | | | (19653) ~ (all_61_7 = all_61_14)
% 176.29/27.25 | | | | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | | | | REDUCE: (19340), (19647) imply:
% 176.29/27.25 | | | | | | | | | | | | | | (19654) ~ (all_40_1 = all_10_1)
% 176.29/27.25 | | | | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | | | | REDUCE: (19610), (19649) imply:
% 176.29/27.25 | | | | | | | | | | | | | | (19655) ~ (all_61_14 = all_28_1)
% 176.29/27.25 | | | | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | | | | REDUCE: (19325), (19649) imply:
% 176.29/27.25 | | | | | | | | | | | | | | (19656) op(all_61_14, e1) = all_61_7
% 176.29/27.25 | | | | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | | | | REDUCE: (746), (19649) imply:
% 176.29/27.25 | | | | | | | | | | | | | | (19657) op(e1, all_61_14) = all_65_46
% 176.29/27.25 | | | | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_13, all_65_46,
% 176.29/27.25 | | | | | | | | | | | | | | all_61_14, e1, simplifying with (19331), (19657)
% 176.29/27.25 | | | | | | | | | | | | | | gives:
% 176.29/27.25 | | | | | | | | | | | | | | (19658) all_65_46 = all_61_13
% 176.29/27.25 | | | | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_46, all_61_7, e1,
% 176.29/27.25 | | | | | | | | | | | | | | all_61_14, simplifying with (680), (19656) gives:
% 176.29/27.25 | | | | | | | | | | | | | | (19659) all_65_46 = all_61_7
% 176.29/27.25 | | | | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | | | | COMBINE_EQS: (19658), (19659) imply:
% 176.29/27.25 | | | | | | | | | | | | | | (19660) all_61_7 = all_61_13
% 176.29/27.25 | | | | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | | | | REDUCE: (19608), (19660) imply:
% 176.29/27.25 | | | | | | | | | | | | | | (19661) ~ (all_61_13 = all_28_1)
% 176.29/27.25 | | | | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | | | | REDUCE: (19316), (19660) imply:
% 176.29/27.25 | | | | | | | | | | | | | | (19662) ~ (all_61_13 = all_10_1)
% 176.29/27.25 | | | | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | | | | REDUCE: (19612), (19660) imply:
% 176.29/27.25 | | | | | | | | | | | | | | (19663) op(all_61_13, e2) = all_28_1
% 176.29/27.25 | | | | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | | | | REDUCE: (689), (19660) imply:
% 176.29/27.25 | | | | | | | | | | | | | | (19664) op(all_61_13, e0) = all_65_63
% 176.29/27.25 | | | | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_6_1, all_65_63, e0,
% 176.29/27.25 | | | | | | | | | | | | | | all_61_13, simplifying with (19614), (19664)
% 176.29/27.25 | | | | | | | | | | | | | | gives:
% 176.29/27.25 | | | | | | | | | | | | | | (19665) all_65_63 = all_6_1
% 176.29/27.25 | | | | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_29, all_28_1, e2,
% 176.29/27.25 | | | | | | | | | | | | | | all_61_13, simplifying with (663), (19663) gives:
% 176.29/27.25 | | | | | | | | | | | | | | (19666) all_65_29 = all_28_1
% 176.29/27.25 | | | | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | | | | BETA: splitting (161) gives:
% 176.29/27.25 | | | | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | | | | Case 1:
% 176.29/27.25 | | | | | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | | | | | (19667) ~ (all_58_2 = e2)
% 176.29/27.25 | | | | | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | | | | | REDUCE: (478), (19667) imply:
% 176.29/27.25 | | | | | | | | | | | | | | | (19668) ~ (all_52_2 = e2)
% 176.29/27.25 | | | | | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | | | | | BETA: splitting (164) gives:
% 176.29/27.25 | | | | | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | | | | | Case 1:
% 176.29/27.25 | | | | | | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | | | | | | (19669) ~ (all_58_1 = e1)
% 176.29/27.25 | | | | | | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | | | | | | REDUCE: (481), (19669) imply:
% 176.29/27.25 | | | | | | | | | | | | | | | | (19670) ~ (all_52_1 = e1)
% 176.29/27.25 | | | | | | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | | | | | | BETA: splitting (163) gives:
% 176.29/27.25 | | | | | | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | | | | | | Case 1:
% 176.29/27.25 | | | | | | | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | | | | | | | (19671) ~ (all_58_1 = e0)
% 176.29/27.25 | | | | | | | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | | | | | | | REDUCE: (481), (19671) imply:
% 176.29/27.25 | | | | | | | | | | | | | | | | | (19672) ~ (all_52_1 = e0)
% 176.29/27.25 | | | | | | | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (20), (50), (150), (165), (481), (484),
% 176.29/27.25 | | | | | | | | | | | | | | | | | (536), (714), (731), (17713), (17771), (18011),
% 176.29/27.25 | | | | | | | | | | | | | | | | | (19634), (19670), (19672) are inconsistent by
% 176.29/27.25 | | | | | | | | | | | | | | | | | sub-proof #97.
% 176.29/27.25 | | | | | | | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | | | | | | Case 2:
% 176.29/27.25 | | | | | | | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | | | | | | | (19673) all_58_1 = e0
% 176.29/27.25 | | | | | | | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | | | | | | | COMBINE_EQS: (481), (19673) imply:
% 176.29/27.25 | | | | | | | | | | | | | | | | | (19674) all_52_1 = e0
% 176.29/27.25 | | | | | | | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | | | | | | | SIMP: (19674) implies:
% 176.29/27.25 | | | | | | | | | | | | | | | | | (19675) all_52_1 = e0
% 176.29/27.25 | | | | | | | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | | | | | | | REDUCE: (731), (19675) imply:
% 176.29/27.25 | | | | | | | | | | | | | | | | | (19676) op(e2, e0) = unit
% 176.29/27.25 | | | | | | | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_13, unit, e0, e2,
% 176.29/27.25 | | | | | | | | | | | | | | | | | simplifying with (231), (19676) gives:
% 176.29/27.25 | | | | | | | | | | | | | | | | | (19677) all_61_13 = unit
% 176.29/27.25 | | | | | | | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | | | | | | | REDUCE: (177), (19677) imply:
% 176.29/27.25 | | | | | | | | | | | | | | | | | (19678) ~ (all_61_14 = unit)
% 176.29/27.25 | | | | | | | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | | | | | | | SIMP: (19678) implies:
% 176.29/27.25 | | | | | | | | | | | | | | | | | (19679) ~ (all_61_14 = unit)
% 176.29/27.25 | | | | | | | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | | | | | | | REDUCE: (19661), (19677) imply:
% 176.29/27.25 | | | | | | | | | | | | | | | | | (19680) ~ (all_28_1 = unit)
% 176.29/27.25 | | | | | | | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | | | | | | | SIMP: (19680) implies:
% 176.29/27.25 | | | | | | | | | | | | | | | | | (19681) ~ (all_28_1 = unit)
% 176.29/27.25 | | | | | | | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | | | | | | | REDUCE: (19662), (19677) imply:
% 176.29/27.25 | | | | | | | | | | | | | | | | | (19682) ~ (all_10_1 = unit)
% 176.29/27.25 | | | | | | | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | | | | | | | SIMP: (19682) implies:
% 176.29/27.25 | | | | | | | | | | | | | | | | | (19683) ~ (all_10_1 = unit)
% 176.29/27.25 | | | | | | | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | | | | | | | REDUCE: (17747), (19677) imply:
% 176.29/27.25 | | | | | | | | | | | | | | | | | (19684) ~ (all_6_1 = unit)
% 176.29/27.25 | | | | | | | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | | | | | | | SIMP: (19684) implies:
% 176.29/27.25 | | | | | | | | | | | | | | | | | (19685) ~ (all_6_1 = unit)
% 176.29/27.25 | | | | | | | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | | | | | | | REDUCE: (19663), (19677) imply:
% 176.29/27.25 | | | | | | | | | | | | | | | | | (19686) op(unit, e2) = all_28_1
% 176.29/27.25 | | | | | | | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | | | | | | | REDUCE: (19614), (19677) imply:
% 176.29/27.25 | | | | | | | | | | | | | | | | | (19687) op(unit, e0) = all_6_1
% 176.29/27.25 | | | | | | | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e0, all_6_1, e0, unit,
% 176.29/27.25 | | | | | | | | | | | | | | | | | simplifying with (7), (19687) gives:
% 176.29/27.25 | | | | | | | | | | | | | | | | | (19688) all_6_1 = e0
% 176.29/27.25 | | | | | | | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e2, all_28_1, e2, unit,
% 176.29/27.25 | | | | | | | | | | | | | | | | | simplifying with (9), (19686) gives:
% 176.29/27.25 | | | | | | | | | | | | | | | | | (19689) all_28_1 = e2
% 176.29/27.25 | | | | | | | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | | | | | | | REDUCE: (19681), (19689) imply:
% 176.29/27.25 | | | | | | | | | | | | | | | | | (19690) ~ (unit = e2)
% 176.29/27.25 | | | | | | | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | | | | | | | SIMP: (19690) implies:
% 176.29/27.25 | | | | | | | | | | | | | | | | | (19691) ~ (unit = e2)
% 176.29/27.25 | | | | | | | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | | | | | | | REDUCE: (19321), (19688) imply:
% 176.29/27.25 | | | | | | | | | | | | | | | | | (19692) ~ (all_10_1 = e0)
% 176.29/27.25 | | | | | | | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | | | | | | | REDUCE: (19685), (19688) imply:
% 176.29/27.25 | | | | | | | | | | | | | | | | | (19693) ~ (unit = e0)
% 176.29/27.25 | | | | | | | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | | | | | | | SIMP: (19693) implies:
% 176.29/27.25 | | | | | | | | | | | | | | | | | (19694) ~ (unit = e0)
% 176.29/27.25 | | | | | | | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | | | | | | | BETA: splitting (18012) gives:
% 176.29/27.25 | | | | | | | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | | | | | | | Case 1:
% 176.29/27.25 | | | | | | | | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | | | | | | | | (19695) unit = e2
% 176.29/27.25 | | | | | | | | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | | | | | | | | REDUCE: (19691), (19695) imply:
% 176.29/27.25 | | | | | | | | | | | | | | | | | | (19696) $false
% 176.29/27.25 | | | | | | | | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | | | | | | | | CLOSE: (19696) is inconsistent.
% 176.29/27.25 | | | | | | | | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | | | | | | | Case 2:
% 176.29/27.25 | | | | | | | | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | | | | | | | | (19697) unit = e1 | unit = e0
% 176.29/27.25 | | | | | | | | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | | | | | | | | REF_CLOSE: (257), (265), (269), (489), (19282), (19313),
% 176.29/27.25 | | | | | | | | | | | | | | | | | | (19318), (19322), (19339), (19341), (19631),
% 176.29/27.25 | | | | | | | | | | | | | | | | | | (19651), (19652), (19654), (19679), (19683),
% 176.29/27.25 | | | | | | | | | | | | | | | | | | (19692), (19694), (19697) are inconsistent by
% 176.29/27.25 | | | | | | | | | | | | | | | | | | sub-proof #245.
% 176.29/27.25 | | | | | | | | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | | | | | | | End of split
% 176.29/27.25 | | | | | | | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | | | | | | End of split
% 176.29/27.25 | | | | | | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | | | | | Case 2:
% 176.29/27.25 | | | | | | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | | | | | | (19698) all_58_2 = e2
% 176.29/27.25 | | | | | | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | | | | | | COMBINE_EQS: (478), (19698) imply:
% 176.29/27.25 | | | | | | | | | | | | | | | | (19699) all_52_2 = e2
% 176.29/27.25 | | | | | | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | | | | | | REDUCE: (19668), (19699) imply:
% 176.29/27.25 | | | | | | | | | | | | | | | | (19700) $false
% 176.29/27.25 | | | | | | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | | | | | | CLOSE: (19700) is inconsistent.
% 176.29/27.25 | | | | | | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | | | | | End of split
% 176.29/27.25 | | | | | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | | | | Case 2:
% 176.29/27.25 | | | | | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | | | | | (19701) all_58_2 = e2
% 176.29/27.25 | | | | | | | | | | | | | | | (19702) all_58_1 = e1
% 176.29/27.25 | | | | | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | | | | | REF_CLOSE: (9), (50), (229), (232), (478), (481), (659),
% 176.29/27.25 | | | | | | | | | | | | | | | (724), (731), (748), (17773), (19341), (19701),
% 176.29/27.25 | | | | | | | | | | | | | | | (19702) are inconsistent by sub-proof #67.
% 176.29/27.25 | | | | | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | | | | End of split
% 176.29/27.25 | | | | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | | | End of split
% 176.29/27.25 | | | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | | End of split
% 176.29/27.25 | | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | Case 2:
% 176.29/27.25 | | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | | (19703) all_36_2 = e0
% 176.29/27.25 | | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | | COMBINE_EQS: (557), (19703) imply:
% 176.29/27.25 | | | | | | | | | | | | (19704) all_14_2 = e0
% 176.29/27.25 | | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | | SIMP: (19704) implies:
% 176.29/27.25 | | | | | | | | | | | | (19705) all_14_2 = e0
% 176.29/27.25 | | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | | REDUCE: (601), (19705) imply:
% 176.29/27.25 | | | | | | | | | | | | (19706) ~ (all_61_8 = e0)
% 176.29/27.25 | | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | | REDUCE: (17757), (19705) imply:
% 176.29/27.25 | | | | | | | | | | | | (19707) ~ (all_6_1 = e0)
% 176.29/27.25 | | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | | SIMP: (19707) implies:
% 176.29/27.25 | | | | | | | | | | | | (19708) ~ (all_6_1 = e0)
% 176.29/27.25 | | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | | REDUCE: (17789), (19705) imply:
% 176.29/27.25 | | | | | | | | | | | | (19709) op(e0, e2) = all_65_16
% 176.29/27.25 | | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | | REDUCE: (19351), (19705) imply:
% 176.29/27.25 | | | | | | | | | | | | (19710) op(e0, e1) = all_65_32
% 176.29/27.25 | | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | | REDUCE: (715), (19705) imply:
% 176.29/27.25 | | | | | | | | | | | | (19711) op(e2, e0) = all_65_16
% 176.29/27.25 | | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | | REDUCE: (732), (19705) imply:
% 176.29/27.25 | | | | | | | | | | | | (19712) op(e1, e0) = all_65_32
% 176.29/27.25 | | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | | REDUCE: (749), (19705) imply:
% 176.29/27.25 | | | | | | | | | | | | (19713) op(e0, e0) = all_65_49
% 176.29/27.25 | | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | | GROUND_INST: instantiating (50) with e3, all_65_49, e0, e0,
% 176.29/27.25 | | | | | | | | | | | | simplifying with (19592), (19713) gives:
% 176.29/27.25 | | | | | | | | | | | | (19714) all_65_49 = e3
% 176.29/27.25 | | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_11, all_65_32, e1,
% 176.29/27.25 | | | | | | | | | | | | e0, simplifying with (224), (19710) gives:
% 176.29/27.25 | | | | | | | | | | | | (19715) all_65_32 = all_61_11
% 176.29/27.25 | | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_7, all_65_16, e2,
% 176.29/27.25 | | | | | | | | | | | | e0, simplifying with (225), (19709) gives:
% 176.29/27.25 | | | | | | | | | | | | (19716) all_65_16 = all_61_7
% 176.29/27.25 | | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_14, all_65_32, e0,
% 176.29/27.25 | | | | | | | | | | | | e1, simplifying with (227), (19712) gives:
% 176.29/27.25 | | | | | | | | | | | | (19717) all_65_32 = all_61_14
% 176.29/27.25 | | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_13, all_65_16, e0,
% 176.29/27.25 | | | | | | | | | | | | e2, simplifying with (231), (19711) gives:
% 176.29/27.25 | | | | | | | | | | | | (19718) all_65_16 = all_61_13
% 176.29/27.25 | | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | | COMBINE_EQS: (19716), (19718) imply:
% 176.29/27.25 | | | | | | | | | | | | (19719) all_61_7 = all_61_13
% 176.29/27.25 | | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | | SIMP: (19719) implies:
% 176.29/27.25 | | | | | | | | | | | | (19720) all_61_7 = all_61_13
% 176.29/27.25 | | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | | COMBINE_EQS: (19715), (19717) imply:
% 176.29/27.25 | | | | | | | | | | | | (19721) all_61_11 = all_61_14
% 176.29/27.25 | | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | | SIMP: (19721) implies:
% 176.29/27.25 | | | | | | | | | | | | (19722) all_61_11 = all_61_14
% 176.29/27.25 | | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | | REDUCE: (689), (19720) imply:
% 176.29/27.25 | | | | | | | | | | | | (19723) op(all_61_13, e0) = all_65_63
% 176.29/27.25 | | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | | REDUCE: (693), (19722) imply:
% 176.29/27.25 | | | | | | | | | | | | (19724) op(all_61_14, e0) = all_65_71
% 176.29/27.25 | | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_8, all_65_71, e0,
% 176.29/27.25 | | | | | | | | | | | | all_61_14, simplifying with (19615), (19724)
% 176.29/27.25 | | | | | | | | | | | | gives:
% 176.29/27.25 | | | | | | | | | | | | (19725) all_65_71 = all_61_8
% 176.29/27.25 | | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_6_1, all_65_63, e0,
% 176.29/27.25 | | | | | | | | | | | | all_61_13, simplifying with (19614), (19723)
% 176.29/27.25 | | | | | | | | | | | | gives:
% 176.29/27.25 | | | | | | | | | | | | (19726) all_65_63 = all_6_1
% 176.29/27.25 | | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | | BETA: splitting (161) gives:
% 176.29/27.25 | | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | | Case 1:
% 176.29/27.25 | | | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | | | (19727) ~ (all_58_2 = e2)
% 176.29/27.25 | | | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | | | REDUCE: (478), (19727) imply:
% 176.29/27.25 | | | | | | | | | | | | | (19728) ~ (all_52_2 = e2)
% 176.29/27.25 | | | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | | | BETA: splitting (157) gives:
% 176.29/27.25 | | | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | | | Case 1:
% 176.29/27.25 | | | | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | | | | (19729) ~ (all_58_3 = e1)
% 176.29/27.25 | | | | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | | | | REDUCE: (475), (19729) imply:
% 176.29/27.25 | | | | | | | | | | | | | | (19730) ~ (all_52_3 = e1)
% 176.29/27.25 | | | | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | | | | BETA: splitting (160) gives:
% 176.29/27.25 | | | | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | | | | Case 1:
% 176.29/27.25 | | | | | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | | | | | (19731) ~ (all_58_2 = e0)
% 176.29/27.25 | | | | | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | | | | | REDUCE: (478), (19731) imply:
% 176.29/27.25 | | | | | | | | | | | | | | | (19732) ~ (all_52_2 = e0)
% 176.29/27.25 | | | | | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | | | | | BETA: splitting (162) gives:
% 176.29/27.25 | | | | | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | | | | | Case 1:
% 176.29/27.25 | | | | | | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | | | | | | (19733) ~ (all_58_2 = e3)
% 176.29/27.25 | | | | | | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | | | | | | REDUCE: (478), (19733) imply:
% 176.29/27.25 | | | | | | | | | | | | | | | | (19734) ~ (all_52_2 = e3)
% 176.29/27.25 | | | | | | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | | | | | | BETA: splitting (149) gives:
% 176.29/27.25 | | | | | | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | | | | | | Case 1:
% 176.29/27.25 | | | | | | | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | | | | | | | (19735) all_56_2 = e3
% 176.29/27.25 | | | | | | | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | | | | | | | REF_CLOSE: (538), (19734), (19735) are inconsistent by
% 176.29/27.25 | | | | | | | | | | | | | | | | | sub-proof #482.
% 176.29/27.25 | | | | | | | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | | | | | | Case 2:
% 176.29/27.25 | | | | | | | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | | | | | | | (19736) all_56_2 = e2 | all_56_2 = e1 | all_56_2 = e0
% 176.29/27.25 | | | | | | | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | | | | | | | BETA: splitting (19736) gives:
% 176.29/27.25 | | | | | | | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | | | | | | | Case 1:
% 176.29/27.25 | | | | | | | | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | | | | | | | | (19737) all_56_2 = e2
% 176.29/27.25 | | | | | | | | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | | | | | | | | REF_CLOSE: (538), (19728), (19737) are inconsistent by
% 176.29/27.25 | | | | | | | | | | | | | | | | | | sub-proof #481.
% 176.29/27.25 | | | | | | | | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | | | | | | | Case 2:
% 176.29/27.25 | | | | | | | | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | | | | | | | | (19738) all_56_2 = e1 | all_56_2 = e0
% 176.29/27.25 | | | | | | | | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | | | | | | | | BETA: splitting (19738) gives:
% 176.29/27.25 | | | | | | | | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | | | | | | | | Case 1:
% 176.29/27.25 | | | | | | | | | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | | | | | | | | | (19739) all_56_2 = e1
% 176.29/27.25 | | | | | | | | | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (538), (19739) imply:
% 176.29/27.25 | | | | | | | | | | | | | | | | | | | (19740) all_52_2 = e1
% 176.29/27.25 | | | | | | | | | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | | | | | | | | | SIMP: (19740) implies:
% 176.29/27.25 | | | | | | | | | | | | | | | | | | | (19741) all_52_2 = e1
% 176.29/27.25 | | | | | | | | | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | | | | | | | | | REDUCE: (748), (19741) imply:
% 176.29/27.25 | | | | | | | | | | | | | | | | | | | (19742) op(e1, e1) = unit
% 176.29/27.25 | | | | | | | | | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e2, unit, e1, e1,
% 176.29/27.25 | | | | | | | | | | | | | | | | | | | simplifying with (19290), (19742) gives:
% 176.29/27.25 | | | | | | | | | | | | | | | | | | | (19743) unit = e2
% 176.29/27.25 | | | | | | | | | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | | | | | | | | | REDUCE: (18011), (19743) imply:
% 176.29/27.25 | | | | | | | | | | | | | | | | | | | (19744) ~ (e3 = e2)
% 176.29/27.25 | | | | | | | | | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | | | | | | | | | REDUCE: (5), (19743) imply:
% 176.29/27.25 | | | | | | | | | | | | | | | | | | | (19745) op(e2, e2) = e2
% 176.29/27.25 | | | | | | | | | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e3, e2, e2, e2,
% 176.29/27.25 | | | | | | | | | | | | | | | | | | | simplifying with (17713), (19745) gives:
% 176.29/27.25 | | | | | | | | | | | | | | | | | | | (19746) e3 = e2
% 176.29/27.25 | | | | | | | | | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | | | | | | | | | REDUCE: (23), (19746) imply:
% 176.29/27.25 | | | | | | | | | | | | | | | | | | | (19747) $false
% 176.29/27.25 | | | | | | | | | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | | | | | | | | | CLOSE: (19747) is inconsistent.
% 176.29/27.25 | | | | | | | | | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | | | | | | | | Case 2:
% 176.29/27.25 | | | | | | | | | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | | | | | | | | | (19748) all_56_2 = e0
% 176.29/27.25 | | | | | | | | | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (538), (19732), (19748) are inconsistent by
% 176.29/27.25 | | | | | | | | | | | | | | | | | | | sub-proof #480.
% 176.29/27.25 | | | | | | | | | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | | | | | | | | End of split
% 176.29/27.25 | | | | | | | | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | | | | | | | End of split
% 176.29/27.25 | | | | | | | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | | | | | | End of split
% 176.29/27.25 | | | | | | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | | | | | Case 2:
% 176.29/27.25 | | | | | | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | | | | | | (19749) all_58_2 = e3
% 176.29/27.25 | | | | | | | | | | | | | | | | (19750) all_58_0 = e1
% 176.29/27.25 | | | | | | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | | | | | | COMBINE_EQS: (484), (19750) imply:
% 176.29/27.25 | | | | | | | | | | | | | | | | (19751) all_52_0 = e1
% 176.29/27.25 | | | | | | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | | | | | | SIMP: (19751) implies:
% 176.29/27.25 | | | | | | | | | | | | | | | | (19752) all_52_0 = e1
% 176.29/27.25 | | | | | | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | | | | | | COMBINE_EQS: (478), (19749) imply:
% 176.29/27.25 | | | | | | | | | | | | | | | | (19753) all_52_2 = e3
% 176.29/27.25 | | | | | | | | | | | | | | | |
% 176.29/27.25 | | | | | | | | | | | | | | | | REF_CLOSE: (7), (50), (148), (158), (163), (231), (475),
% 176.29/27.25 | | | | | | | | | | | | | | | | (481), (539), (630), (633), (731), (765), (18011),
% 176.29/27.25 | | | | | | | | | | | | | | | | (19592), (19614), (19708), (19752), (19753) are
% 176.29/27.25 | | | | | | | | | | | | | | | | inconsistent by sub-proof #80.
% 176.29/27.25 | | | | | | | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | | | | | | End of split
% 176.29/27.26 | | | | | | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | | | | | Case 2:
% 176.29/27.26 | | | | | | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | | | | | | (19754) all_58_3 = e1
% 176.29/27.26 | | | | | | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | | | | | | REF_CLOSE: (475), (19730), (19754) are inconsistent by
% 176.29/27.26 | | | | | | | | | | | | | | | sub-proof #460.
% 176.29/27.26 | | | | | | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | | | | | End of split
% 176.29/27.26 | | | | | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | | | | Case 2:
% 176.29/27.26 | | | | | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | | | | | (19755) all_58_2 = e0
% 176.29/27.26 | | | | | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | | | | | COMBINE_EQS: (478), (19755) imply:
% 176.29/27.26 | | | | | | | | | | | | | | (19756) all_52_2 = e0
% 176.29/27.26 | | | | | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | | | | | SIMP: (19756) implies:
% 176.29/27.26 | | | | | | | | | | | | | | (19757) all_52_2 = e0
% 176.29/27.26 | | | | | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | | | | | REDUCE: (748), (19757) imply:
% 176.29/27.26 | | | | | | | | | | | | | | (19758) op(e1, e0) = unit
% 176.29/27.26 | | | | | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | | | | | REF_CLOSE: (7), (50), (227), (19615), (19706), (19758) are
% 176.29/27.26 | | | | | | | | | | | | | | inconsistent by sub-proof #249.
% 176.29/27.26 | | | | | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | | | | End of split
% 176.29/27.26 | | | | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | | | Case 2:
% 176.29/27.26 | | | | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | | | | (19759) all_58_2 = e2
% 176.29/27.26 | | | | | | | | | | | | | (19760) all_58_1 = e1
% 176.29/27.26 | | | | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | | | | REF_CLOSE: (9), (50), (229), (232), (478), (481), (659),
% 176.29/27.26 | | | | | | | | | | | | | (724), (731), (748), (17773), (19341), (19759),
% 176.29/27.26 | | | | | | | | | | | | | (19760) are inconsistent by sub-proof #70.
% 176.29/27.26 | | | | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | | | End of split
% 176.29/27.26 | | | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | | End of split
% 176.29/27.26 | | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | End of split
% 176.29/27.26 | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | Case 2:
% 176.29/27.26 | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | (19761) all_20_2 = e2
% 176.29/27.26 | | | | | | | | | | (19762) op(e0, e2) = all_20_1 & $i(all_20_1) & ( ~
% 176.29/27.26 | | | | | | | | | | (all_20_1 = e1) | ( ~ (all_20_0 = e3) & op(e1,
% 176.29/27.26 | | | | | | | | | | e0) = all_20_0 & $i(all_20_0)))
% 176.29/27.26 | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | ALPHA: (19762) implies:
% 176.29/27.26 | | | | | | | | | | (19763) op(e0, e2) = all_20_1
% 176.29/27.26 | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | COMBINE_EQS: (581), (19761) imply:
% 176.29/27.26 | | | | | | | | | | (19764) all_46_2 = e2
% 176.29/27.26 | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | REDUCE: (695), (19761) imply:
% 176.29/27.26 | | | | | | | | | | (19765) op(e2, e2) = all_65_75
% 176.29/27.26 | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | REDUCE: (697), (19761) imply:
% 176.29/27.26 | | | | | | | | | | (19766) op(e2, e0) = all_65_78
% 176.29/27.26 | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | REDUCE: (713), (19761) imply:
% 176.29/27.26 | | | | | | | | | | (19767) op(e3, e2) = all_65_15
% 176.29/27.26 | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | REDUCE: (730), (19761) imply:
% 176.29/27.26 | | | | | | | | | | (19768) op(e2, e2) = all_65_31
% 176.29/27.26 | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | REDUCE: (764), (19761) imply:
% 176.29/27.26 | | | | | | | | | | (19769) op(e0, e2) = all_65_78
% 176.29/27.26 | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | BETA: splitting (116) gives:
% 176.29/27.26 | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | Case 1:
% 176.29/27.26 | | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | | (19770) ~ (all_46_2 = e2)
% 176.29/27.26 | | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | | REDUCE: (19764), (19770) imply:
% 176.29/27.26 | | | | | | | | | | | (19771) $false
% 176.29/27.26 | | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | | CLOSE: (19771) is inconsistent.
% 176.29/27.26 | | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | Case 2:
% 176.29/27.26 | | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | | (19772) op(e0, e2) = all_46_1 & $i(all_46_1) & ( ~
% 176.29/27.26 | | | | | | | | | | | (all_46_1 = e3) | ( ~ (all_46_0 = e1) & op(e3,
% 176.29/27.26 | | | | | | | | | | | e0) = all_46_0 & $i(all_46_0)))
% 176.29/27.26 | | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | | ALPHA: (19772) implies:
% 176.29/27.26 | | | | | | | | | | | (19773) op(e0, e2) = all_46_1
% 176.29/27.26 | | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_7, all_46_1, e2,
% 176.29/27.26 | | | | | | | | | | | e0, simplifying with (225), (19773) gives:
% 176.29/27.26 | | | | | | | | | | | (19774) all_61_7 = all_46_1
% 176.29/27.26 | | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_7, all_65_78, e2,
% 176.29/27.26 | | | | | | | | | | | e0, simplifying with (225), (19769) gives:
% 176.29/27.26 | | | | | | | | | | | (19775) all_65_78 = all_61_7
% 176.29/27.26 | | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | | GROUND_INST: instantiating (50) with all_20_1, all_65_78, e2,
% 176.29/27.26 | | | | | | | | | | | e0, simplifying with (19763), (19769) gives:
% 176.29/27.26 | | | | | | | | | | | (19776) all_65_78 = all_20_1
% 176.29/27.26 | | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_13, all_65_78, e0,
% 176.29/27.26 | | | | | | | | | | | e2, simplifying with (231), (19766) gives:
% 176.29/27.26 | | | | | | | | | | | (19777) all_65_78 = all_61_13
% 176.29/27.26 | | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | | GROUND_INST: instantiating (50) with e3, all_65_31, e2, e2,
% 176.29/27.26 | | | | | | | | | | | simplifying with (17713), (19768) gives:
% 176.29/27.26 | | | | | | | | | | | (19778) all_65_31 = e3
% 176.29/27.26 | | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_75, all_65_31, e2,
% 176.29/27.26 | | | | | | | | | | | e2, simplifying with (19765), (19768) gives:
% 176.29/27.26 | | | | | | | | | | | (19779) all_65_31 = all_65_75
% 176.29/27.26 | | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | | GROUND_INST: instantiating (50) with all_6_1, all_65_15, e2,
% 176.29/27.26 | | | | | | | | | | | e3, simplifying with (17771), (19767) gives:
% 176.29/27.26 | | | | | | | | | | | (19780) all_65_15 = all_6_1
% 176.29/27.26 | | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | | COMBINE_EQS: (19778), (19779) imply:
% 176.29/27.26 | | | | | | | | | | | (19781) all_65_75 = e3
% 176.29/27.26 | | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | | COMBINE_EQS: (19776), (19777) imply:
% 176.29/27.26 | | | | | | | | | | | (19782) all_61_13 = all_20_1
% 176.29/27.26 | | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | | COMBINE_EQS: (19775), (19777) imply:
% 176.29/27.26 | | | | | | | | | | | (19783) all_61_7 = all_61_13
% 176.29/27.26 | | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | | SIMP: (19783) implies:
% 176.29/27.26 | | | | | | | | | | | (19784) all_61_7 = all_61_13
% 176.29/27.26 | | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | | COMBINE_EQS: (19774), (19784) imply:
% 176.29/27.26 | | | | | | | | | | | (19785) all_61_13 = all_46_1
% 176.29/27.26 | | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | | SIMP: (19785) implies:
% 176.29/27.26 | | | | | | | | | | | (19786) all_61_13 = all_46_1
% 176.29/27.26 | | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | | COMBINE_EQS: (19782), (19786) imply:
% 176.29/27.26 | | | | | | | | | | | (19787) all_46_1 = all_20_1
% 176.29/27.26 | | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | | SIMP: (19787) implies:
% 176.29/27.26 | | | | | | | | | | | (19788) all_46_1 = all_20_1
% 176.29/27.26 | | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | | COMBINE_EQS: (19774), (19788) imply:
% 176.29/27.26 | | | | | | | | | | | (19789) all_61_7 = all_20_1
% 176.29/27.26 | | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | | REDUCE: (17768), (19789) imply:
% 176.29/27.26 | | | | | | | | | | | (19790) op(all_20_1, e2) = all_61_3
% 176.29/27.26 | | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | | REDUCE: (689), (19789) imply:
% 176.29/27.26 | | | | | | | | | | | (19791) op(all_20_1, e0) = all_65_63
% 176.29/27.26 | | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | | REDUCE: (663), (19782) imply:
% 176.29/27.26 | | | | | | | | | | | (19792) op(all_20_1, e2) = all_65_29
% 176.29/27.26 | | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | | REDUCE: (665), (19778), (19782) imply:
% 176.29/27.26 | | | | | | | | | | | (19793) op(all_20_1, e0) = e3
% 176.29/27.26 | | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | | REDUCE: (728), (19789) imply:
% 176.29/27.26 | | | | | | | | | | | (19794) op(e2, all_20_1) = all_65_29
% 176.29/27.26 | | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | | REDUCE: (17774), (19782) imply:
% 176.29/27.26 | | | | | | | | | | | (19795) op(e2, all_20_1) = all_61_12
% 176.29/27.26 | | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | | REDUCE: (231), (19782) imply:
% 176.29/27.26 | | | | | | | | | | | (19796) op(e2, e0) = all_20_1
% 176.29/27.26 | | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_12, all_65_29,
% 176.29/27.26 | | | | | | | | | | | all_20_1, e2, simplifying with (19794), (19795)
% 176.29/27.26 | | | | | | | | | | | gives:
% 176.29/27.26 | | | | | | | | | | | (19797) all_65_29 = all_61_12
% 176.29/27.26 | | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | | GROUND_INST: instantiating (50) with e3, all_65_63, e0,
% 176.29/27.26 | | | | | | | | | | | all_20_1, simplifying with (19791), (19793) gives:
% 176.29/27.26 | | | | | | | | | | | (19798) all_65_63 = e3
% 176.29/27.26 | | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_3, all_65_29, e2,
% 176.29/27.26 | | | | | | | | | | | all_20_1, simplifying with (19790), (19792) gives:
% 176.29/27.26 | | | | | | | | | | | (19799) all_65_29 = all_61_3
% 176.29/27.26 | | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | | COMBINE_EQS: (19797), (19799) imply:
% 176.29/27.26 | | | | | | | | | | | (19800) all_61_3 = all_61_12
% 176.29/27.26 | | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | | BETA: splitting (101) gives:
% 176.29/27.26 | | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | | Case 1:
% 176.29/27.26 | | | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | | | (19801) ~ (all_36_2 = e0)
% 176.29/27.26 | | | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | | | REDUCE: (557), (19801) imply:
% 176.29/27.26 | | | | | | | | | | | | (19802) ~ (all_14_2 = e0)
% 176.29/27.26 | | | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | | | BETA: splitting (107) gives:
% 176.29/27.26 | | | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | | | Case 1:
% 176.29/27.26 | | | | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | | | | (19803) ~ (all_40_2 = e1)
% 176.29/27.26 | | | | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | | | | REDUCE: (553), (19803) imply:
% 176.29/27.26 | | | | | | | | | | | | | (19804) ~ (all_14_2 = e1)
% 176.29/27.26 | | | | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | | | | REF_CLOSE: (10), (50), (67), (151), (159), (162), (165),
% 176.29/27.26 | | | | | | | | | | | | | (166), (167), (168), (226), (230), (234), (235),
% 176.29/27.26 | | | | | | | | | | | | | (236), (237), (271), (475), (478), (481), (484),
% 176.29/27.26 | | | | | | | | | | | | | (534), (588), (599), (601), (603), (635), (636),
% 176.29/27.26 | | | | | | | | | | | | | (637), (638), (642), (646), (650), (666), (682),
% 176.29/27.26 | | | | | | | | | | | | | (698), (714), (715), (731), (732), (748), (749),
% 176.29/27.26 | | | | | | | | | | | | | (765), (18011), (19353), (19802), (19804) are
% 176.29/27.26 | | | | | | | | | | | | | inconsistent by sub-proof #502.
% 176.29/27.26 | | | | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | | | Case 2:
% 176.29/27.26 | | | | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | | | | (19805) all_40_2 = e1
% 176.29/27.26 | | | | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | | | | COMBINE_EQS: (553), (19805) imply:
% 176.29/27.26 | | | | | | | | | | | | | (19806) all_14_2 = e1
% 176.29/27.26 | | | | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | | | | SIMP: (19806) implies:
% 176.29/27.26 | | | | | | | | | | | | | (19807) all_14_2 = e1
% 176.29/27.26 | | | | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | | | | REDUCE: (19353), (19807) imply:
% 176.29/27.26 | | | | | | | | | | | | | (19808) ~ (e2 = e1)
% 176.29/27.26 | | | | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | | | | REDUCE: (17764), (19807) imply:
% 176.29/27.26 | | | | | | | | | | | | | (19809) op(all_6_1, e2) = e1
% 176.29/27.26 | | | | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | | | | BETA: splitting (161) gives:
% 176.29/27.26 | | | | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | | | | Case 1:
% 176.29/27.26 | | | | | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | | | | | (19810) ~ (all_58_2 = e2)
% 176.29/27.26 | | | | | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | | | | | REDUCE: (478), (19810) imply:
% 176.29/27.26 | | | | | | | | | | | | | | (19811) ~ (all_52_2 = e2)
% 176.29/27.26 | | | | | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | | | | | REF_CLOSE: (7), (9), (20), (21), (50), (150), (163), (164),
% 176.29/27.26 | | | | | | | | | | | | | | (165), (478), (481), (484), (536), (714), (731),
% 176.29/27.26 | | | | | | | | | | | | | | (17713), (17771), (18011), (19793), (19796),
% 176.29/27.26 | | | | | | | | | | | | | | (19809), (19811) are inconsistent by sub-proof
% 176.29/27.26 | | | | | | | | | | | | | | #64.
% 176.29/27.26 | | | | | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | | | | Case 2:
% 176.29/27.26 | | | | | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | | | | | (19812) all_58_2 = e2
% 176.29/27.26 | | | | | | | | | | | | | | (19813) all_58_1 = e1
% 176.29/27.26 | | | | | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | | | | | REF_CLOSE: (9), (50), (229), (232), (478), (481), (659),
% 176.29/27.26 | | | | | | | | | | | | | | (724), (731), (748), (17773), (19341), (19812),
% 176.29/27.26 | | | | | | | | | | | | | | (19813) are inconsistent by sub-proof #67.
% 176.29/27.26 | | | | | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | | | | End of split
% 176.29/27.26 | | | | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | | | End of split
% 176.29/27.26 | | | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | | Case 2:
% 176.29/27.26 | | | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | | | (19814) all_36_2 = e0
% 176.29/27.26 | | | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | | | COMBINE_EQS: (557), (19814) imply:
% 176.29/27.26 | | | | | | | | | | | | (19815) all_14_2 = e0
% 176.29/27.26 | | | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | | | REDUCE: (19353), (19815) imply:
% 176.29/27.26 | | | | | | | | | | | | (19816) ~ (e2 = e0)
% 176.29/27.26 | | | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | | | REDUCE: (17764), (19815) imply:
% 176.29/27.26 | | | | | | | | | | | | (19817) op(all_6_1, e2) = e0
% 176.29/27.26 | | | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | | | BETA: splitting (158) gives:
% 176.29/27.26 | | | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | | | Case 1:
% 176.29/27.26 | | | | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | | | | (19818) ~ (all_58_3 = e2)
% 176.29/27.26 | | | | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | | | | REDUCE: (475), (19818) imply:
% 176.29/27.26 | | | | | | | | | | | | | (19819) ~ (all_52_3 = e2)
% 176.29/27.26 | | | | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | | | | REF_CLOSE: (9), (19), (50), (150), (161), (163), (164),
% 176.29/27.26 | | | | | | | | | | | | | (165), (168), (229), (232), (475), (478), (481),
% 176.29/27.26 | | | | | | | | | | | | | (484), (536), (659), (714), (724), (731), (748),
% 176.29/27.26 | | | | | | | | | | | | | (17713), (17771), (17773), (18011), (19341),
% 176.29/27.26 | | | | | | | | | | | | | (19817), (19819) are inconsistent by sub-proof
% 176.29/27.26 | | | | | | | | | | | | | #65.
% 176.29/27.26 | | | | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | | | Case 2:
% 176.29/27.26 | | | | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | | | | (19820) all_58_1 = e0
% 176.29/27.26 | | | | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | | | | REF_CLOSE: (7), (21), (50), (481), (731), (19793), (19796),
% 176.29/27.26 | | | | | | | | | | | | | (19820) are inconsistent by sub-proof #74.
% 176.29/27.26 | | | | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | | | End of split
% 176.29/27.26 | | | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | | End of split
% 176.29/27.26 | | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | End of split
% 176.29/27.26 | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | End of split
% 176.29/27.26 | | | | | | | | |
% 176.29/27.26 | | | | | | | | Case 2:
% 176.29/27.26 | | | | | | | | |
% 176.29/27.26 | | | | | | | | | (19821) all_14_2 = e2
% 176.29/27.26 | | | | | | | | | (19822) op(e3, e2) = all_14_1 & $i(all_14_1) & ( ~
% 176.29/27.26 | | | | | | | | | (all_14_1 = e0) | ( ~ (all_14_0 = e1) & op(e0,
% 176.29/27.26 | | | | | | | | | e3) = all_14_0 & $i(all_14_0)))
% 176.29/27.26 | | | | | | | | |
% 176.29/27.26 | | | | | | | | | ALPHA: (19822) implies:
% 176.29/27.26 | | | | | | | | | (19823) op(e3, e2) = all_14_1
% 176.29/27.26 | | | | | | | | | (19824) ~ (all_14_1 = e0) | ( ~ (all_14_0 = e1) & op(e0,
% 176.29/27.26 | | | | | | | | | e3) = all_14_0 & $i(all_14_0))
% 176.29/27.26 | | | | | | | | |
% 176.29/27.26 | | | | | | | | | COMBINE_EQS: (561), (19821) imply:
% 176.29/27.26 | | | | | | | | | (19825) all_26_2 = e2
% 176.29/27.26 | | | | | | | | |
% 176.29/27.26 | | | | | | | | | REDUCE: (597), (19821) imply:
% 176.29/27.26 | | | | | | | | | (19826) ~ (all_61_3 = e2)
% 176.29/27.26 | | | | | | | | |
% 176.29/27.26 | | | | | | | | | REDUCE: (603), (19821) imply:
% 176.29/27.26 | | | | | | | | | (19827) ~ (all_61_12 = e2)
% 176.29/27.26 | | | | | | | | |
% 176.29/27.26 | | | | | | | | | REDUCE: (17757), (19821) imply:
% 176.29/27.26 | | | | | | | | | (19828) ~ (all_6_1 = e2)
% 176.29/27.26 | | | | | | | | |
% 176.29/27.26 | | | | | | | | | SIMP: (19828) implies:
% 176.29/27.26 | | | | | | | | | (19829) ~ (all_6_1 = e2)
% 176.29/27.26 | | | | | | | | |
% 176.29/27.26 | | | | | | | | | REDUCE: (19351), (19821) imply:
% 176.29/27.26 | | | | | | | | | (19830) op(e2, e1) = all_65_32
% 176.29/27.26 | | | | | | | | |
% 176.29/27.26 | | | | | | | | | REDUCE: (637), (19821) imply:
% 176.29/27.26 | | | | | | | | | (19831) op(e2, e0) = all_65_3
% 176.29/27.26 | | | | | | | | |
% 176.29/27.26 | | | | | | | | | REDUCE: (698), (19821) imply:
% 176.29/27.26 | | | | | | | | | (19832) op(e3, e2) = all_65_0
% 176.29/27.26 | | | | | | | | |
% 176.29/27.26 | | | | | | | | | REDUCE: (67), (19821) imply:
% 176.29/27.26 | | | | | | | | | (19833) op(e3, e3) = e2
% 176.29/27.26 | | | | | | | | |
% 176.29/27.26 | | | | | | | | | REDUCE: (715), (19821) imply:
% 176.29/27.26 | | | | | | | | | (19834) op(e2, e2) = all_65_16
% 176.29/27.26 | | | | | | | | |
% 176.29/27.26 | | | | | | | | | REDUCE: (732), (19821) imply:
% 176.29/27.26 | | | | | | | | | (19835) op(e1, e2) = all_65_32
% 176.29/27.26 | | | | | | | | |
% 176.29/27.26 | | | | | | | | | REDUCE: (749), (19821) imply:
% 176.29/27.26 | | | | | | | | | (19836) op(e0, e2) = all_65_49
% 176.29/27.26 | | | | | | | | |
% 176.29/27.26 | | | | | | | | | BETA: splitting (86) gives:
% 176.29/27.26 | | | | | | | | |
% 176.29/27.26 | | | | | | | | | Case 1:
% 176.29/27.26 | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | (19837) ~ (all_26_2 = e2)
% 176.29/27.26 | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | REDUCE: (19825), (19837) imply:
% 176.29/27.26 | | | | | | | | | | (19838) $false
% 176.29/27.26 | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | CLOSE: (19838) is inconsistent.
% 176.29/27.26 | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | Case 2:
% 176.29/27.26 | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | (19839) op(e3, e2) = all_26_1 & $i(all_26_1) & ( ~
% 176.29/27.26 | | | | | | | | | | (all_26_1 = e1) | ( ~ (all_26_0 = e0) & op(e1,
% 176.29/27.26 | | | | | | | | | | e3) = all_26_0 & $i(all_26_0)))
% 176.29/27.26 | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | ALPHA: (19839) implies:
% 176.29/27.26 | | | | | | | | | | (19840) op(e3, e2) = all_26_1
% 176.29/27.26 | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_7, all_65_49, e2,
% 176.29/27.26 | | | | | | | | | | e0, simplifying with (225), (19836) gives:
% 176.29/27.26 | | | | | | | | | | (19841) all_65_49 = all_61_7
% 176.29/27.26 | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_13, all_65_3, e0,
% 176.29/27.26 | | | | | | | | | | e2, simplifying with (231), (19831) gives:
% 176.29/27.26 | | | | | | | | | | (19842) all_65_3 = all_61_13
% 176.29/27.26 | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | GROUND_INST: instantiating (50) with all_10_1, all_65_32, e1,
% 176.29/27.26 | | | | | | | | | | e2, simplifying with (19330), (19830) gives:
% 176.29/27.26 | | | | | | | | | | (19843) all_65_32 = all_10_1
% 176.29/27.26 | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | GROUND_INST: instantiating (50) with e3, all_65_16, e2, e2,
% 176.29/27.26 | | | | | | | | | | simplifying with (17713), (19834) gives:
% 176.29/27.26 | | | | | | | | | | (19844) all_65_16 = e3
% 176.29/27.26 | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | GROUND_INST: instantiating (50) with all_6_1, all_26_1, e2, e3,
% 176.29/27.26 | | | | | | | | | | simplifying with (17771), (19840) gives:
% 176.29/27.26 | | | | | | | | | | (19845) all_26_1 = all_6_1
% 176.29/27.26 | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | GROUND_INST: instantiating (50) with all_26_1, all_65_0, e2,
% 176.29/27.26 | | | | | | | | | | e3, simplifying with (19832), (19840) gives:
% 176.29/27.26 | | | | | | | | | | (19846) all_65_0 = all_26_1
% 176.29/27.26 | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | GROUND_INST: instantiating (50) with all_14_1, all_65_0, e2,
% 176.29/27.26 | | | | | | | | | | e3, simplifying with (19823), (19832) gives:
% 176.29/27.26 | | | | | | | | | | (19847) all_65_0 = all_14_1
% 176.29/27.26 | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | COMBINE_EQS: (19846), (19847) imply:
% 176.29/27.26 | | | | | | | | | | (19848) all_26_1 = all_14_1
% 176.29/27.26 | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | SIMP: (19848) implies:
% 176.29/27.26 | | | | | | | | | | (19849) all_26_1 = all_14_1
% 176.29/27.26 | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | COMBINE_EQS: (19845), (19849) imply:
% 176.29/27.26 | | | | | | | | | | (19850) all_14_1 = all_6_1
% 176.29/27.26 | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | REDUCE: (682), (19841) imply:
% 176.29/27.26 | | | | | | | | | | (19851) op(all_61_3, e3) = all_61_7
% 176.29/27.26 | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | REDUCE: (701), (19842) imply:
% 176.29/27.26 | | | | | | | | | | (19852) op(e3, all_61_12) = all_61_13
% 176.29/27.26 | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | BETA: splitting (77) gives:
% 176.29/27.26 | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | Case 1:
% 176.29/27.26 | | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | | (19853) ~ (all_20_2 = e2)
% 176.29/27.26 | | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | | BETA: splitting (89) gives:
% 176.29/27.26 | | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | | Case 1:
% 176.29/27.26 | | | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | | | (19854) ~ (all_28_2 = e3)
% 176.29/27.26 | | | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | | | REDUCE: (563), (19854) imply:
% 176.29/27.26 | | | | | | | | | | | | (19855) ~ (all_20_2 = e3)
% 176.29/27.26 | | | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | | | BETA: splitting (110) gives:
% 176.29/27.26 | | | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | | | Case 1:
% 176.29/27.26 | | | | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | | | | (19856) ~ (all_42_2 = e1)
% 176.29/27.26 | | | | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | | | | REDUCE: (532), (19856) imply:
% 176.29/27.26 | | | | | | | | | | | | | (19857) ~ (all_20_2 = e1)
% 176.29/27.26 | | | | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | | | | BETA: splitting (256) gives:
% 176.29/27.26 | | | | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | | | | Case 1:
% 176.29/27.26 | | | | | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | | | | | (19858) all_63_15 = e3
% 176.29/27.26 | | | | | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | | | | | COMBINE_EQS: (422), (19858) imply:
% 176.29/27.26 | | | | | | | | | | | | | | (19859) all_20_2 = e3
% 176.29/27.26 | | | | | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | | | | | REDUCE: (19855), (19859) imply:
% 176.29/27.26 | | | | | | | | | | | | | | (19860) $false
% 176.29/27.26 | | | | | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | | | | | CLOSE: (19860) is inconsistent.
% 176.29/27.26 | | | | | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | | | | Case 2:
% 176.29/27.26 | | | | | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | | | | | (19861) all_63_15 = e2 | all_63_15 = e1 | all_63_15 = e0
% 176.29/27.26 | | | | | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | | | | | BETA: splitting (19861) gives:
% 176.29/27.26 | | | | | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | | | | | Case 1:
% 176.29/27.26 | | | | | | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | | | | | | (19862) all_63_15 = e2
% 176.29/27.26 | | | | | | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | | | | | | COMBINE_EQS: (422), (19862) imply:
% 176.29/27.26 | | | | | | | | | | | | | | | (19863) all_20_2 = e2
% 176.29/27.26 | | | | | | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | | | | | | REDUCE: (19853), (19863) imply:
% 176.29/27.26 | | | | | | | | | | | | | | | (19864) $false
% 176.29/27.26 | | | | | | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | | | | | | CLOSE: (19864) is inconsistent.
% 176.29/27.26 | | | | | | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | | | | | Case 2:
% 176.29/27.26 | | | | | | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | | | | | | (19865) all_63_15 = e1 | all_63_15 = e0
% 176.29/27.26 | | | | | | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | | | | | | BETA: splitting (19865) gives:
% 176.29/27.26 | | | | | | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | | | | | | Case 1:
% 176.29/27.26 | | | | | | | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | | | | | | | (19866) all_63_15 = e1
% 176.29/27.26 | | | | | | | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | | | | | | | COMBINE_EQS: (422), (19866) imply:
% 176.29/27.26 | | | | | | | | | | | | | | | | (19867) all_20_2 = e1
% 176.29/27.26 | | | | | | | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | | | | | | | REDUCE: (19857), (19867) imply:
% 176.29/27.26 | | | | | | | | | | | | | | | | (19868) $false
% 176.29/27.26 | | | | | | | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | | | | | | | CLOSE: (19868) is inconsistent.
% 176.29/27.26 | | | | | | | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | | | | | | Case 2:
% 176.29/27.26 | | | | | | | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | | | | | | | (19869) all_63_15 = e0
% 176.29/27.26 | | | | | | | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | | | | | | | COMBINE_EQS: (422), (19869) imply:
% 176.29/27.26 | | | | | | | | | | | | | | | | (19870) all_20_2 = e0
% 176.29/27.26 | | | | | | | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | | | | | | | REDUCE: (625), (19870) imply:
% 176.29/27.26 | | | | | | | | | | | | | | | | (19871) ~ (all_61_12 = e0)
% 176.29/27.26 | | | | | | | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | | | | | | | REDUCE: (626), (19870) imply:
% 176.29/27.26 | | | | | | | | | | | | | | | | (19872) ~ (all_61_13 = e0)
% 176.29/27.26 | | | | | | | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | | | | | | | REDUCE: (627), (19870) imply:
% 176.29/27.26 | | | | | | | | | | | | | | | | (19873) ~ (all_61_14 = e0)
% 176.29/27.26 | | | | | | | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | | | | | | | REDUCE: (694), (19870) imply:
% 176.29/27.26 | | | | | | | | | | | | | | | | (19874) op(e0, e3) = all_65_73
% 176.29/27.26 | | | | | | | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | | | | | | | REDUCE: (696), (19870) imply:
% 176.29/27.26 | | | | | | | | | | | | | | | | (19875) op(e0, e1) = all_65_77
% 176.29/27.26 | | | | | | | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | | | | | | | REDUCE: (713), (19870) imply:
% 176.29/27.26 | | | | | | | | | | | | | | | | (19876) op(e3, e0) = all_65_15
% 176.29/27.26 | | | | | | | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | | | | | | | REDUCE: (730), (19870) imply:
% 176.29/27.26 | | | | | | | | | | | | | | | | (19877) op(e2, e0) = all_65_31
% 176.29/27.26 | | | | | | | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | | | | | | | REDUCE: (747), (19870) imply:
% 176.29/27.26 | | | | | | | | | | | | | | | | (19878) op(e1, e0) = all_65_47
% 176.29/27.26 | | | | | | | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | | | | | | | REDUCE: (764), (19870) imply:
% 176.29/27.26 | | | | | | | | | | | | | | | | (19879) op(e0, e0) = all_65_78
% 176.29/27.26 | | | | | | | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | | | | | | | REDUCE: (76), (19870) imply:
% 176.29/27.26 | | | | | | | | | | | | | | | | (19880) op(e0, e0) = e0
% 176.29/27.26 | | | | | | | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e0, all_65_78, e0, e0,
% 176.29/27.26 | | | | | | | | | | | | | | | | simplifying with (19879), (19880) gives:
% 176.29/27.26 | | | | | | | | | | | | | | | | (19881) all_65_78 = e0
% 176.29/27.26 | | | | | | | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_11, all_65_77, e1,
% 176.29/27.26 | | | | | | | | | | | | | | | | e0, simplifying with (224), (19875) gives:
% 176.29/27.26 | | | | | | | | | | | | | | | | (19882) all_65_77 = all_61_11
% 176.29/27.26 | | | | | | | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_3, all_65_73, e3,
% 176.29/27.26 | | | | | | | | | | | | | | | | e0, simplifying with (226), (19874) gives:
% 176.29/27.26 | | | | | | | | | | | | | | | | (19883) all_65_73 = all_61_3
% 176.29/27.26 | | | | | | | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_14, all_65_47, e0,
% 176.29/27.26 | | | | | | | | | | | | | | | | e1, simplifying with (227), (19878) gives:
% 176.29/27.26 | | | | | | | | | | | | | | | | (19884) all_65_47 = all_61_14
% 176.29/27.26 | | | | | | | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_13, all_65_31, e0,
% 176.29/27.26 | | | | | | | | | | | | | | | | e2, simplifying with (231), (19877) gives:
% 176.29/27.26 | | | | | | | | | | | | | | | | (19885) all_65_31 = all_61_13
% 176.29/27.26 | | | | | | | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_12, all_65_15, e0,
% 176.29/27.26 | | | | | | | | | | | | | | | | e3, simplifying with (235), (19876) gives:
% 176.29/27.26 | | | | | | | | | | | | | | | | (19886) all_65_15 = all_61_12
% 176.29/27.26 | | | | | | | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | | | | | | | REDUCE: (665), (19885) imply:
% 176.29/27.26 | | | | | | | | | | | | | | | | (19887) op(all_61_13, e0) = all_61_13
% 176.29/27.26 | | | | | | | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | | | | | | | BETA: splitting (163) gives:
% 176.29/27.26 | | | | | | | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | | | | | | | Case 1:
% 176.29/27.26 | | | | | | | | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | | | | | | | | (19888) ~ (all_58_1 = e0)
% 176.29/27.26 | | | | | | | | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | | | | | | | | REDUCE: (481), (19888) imply:
% 176.29/27.26 | | | | | | | | | | | | | | | | | (19889) ~ (all_52_1 = e0)
% 176.29/27.26 | | | | | | | | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | | | | | | | | BETA: splitting (158) gives:
% 176.29/27.26 | | | | | | | | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | | | | | | | | Case 1:
% 176.29/27.26 | | | | | | | | | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | | | | | | | | | (19890) ~ (all_58_3 = e2)
% 176.29/27.26 | | | | | | | | | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | | | | | | | | | REDUCE: (475), (19890) imply:
% 176.29/27.26 | | | | | | | | | | | | | | | | | | (19891) ~ (all_52_3 = e2)
% 176.29/27.26 | | | | | | | | | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | | | | | | | | | BETA: splitting (166) gives:
% 176.29/27.26 | | | | | | | | | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | | | | | | | | | Case 1:
% 176.29/27.26 | | | | | | | | | | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | | | | | | | | | | (19892) ~ (all_58_0 = e0)
% 176.29/27.26 | | | | | | | | | | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | | | | | | | | | | REDUCE: (484), (19892) imply:
% 176.29/27.26 | | | | | | | | | | | | | | | | | | | (19893) ~ (all_52_0 = e0)
% 176.29/27.26 | | | | | | | | | | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | | | | | | | | | | BETA: splitting (159) gives:
% 176.29/27.26 | | | | | | | | | | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | | | | | | | | | | Case 1:
% 176.29/27.26 | | | | | | | | | | | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | | | | | | | | | | | (19894) ~ (all_58_3 = e3)
% 176.29/27.26 | | | | | | | | | | | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | | | | | | | | | | | REDUCE: (475), (19894) imply:
% 176.29/27.26 | | | | | | | | | | | | | | | | | | | | (19895) ~ (all_52_3 = e3)
% 176.29/27.26 | | | | | | | | | | | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | | | | | | | | | | | BETA: splitting (167) gives:
% 176.29/27.26 | | | | | | | | | | | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.29/27.26 | | | | | | | | | | | | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | | | | | | | | | | | | (19896) ~ (all_58_0 = e1)
% 176.29/27.26 | | | | | | | | | | | | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | | | | | | | | | | | | REDUCE: (484), (19896) imply:
% 176.29/27.26 | | | | | | | | | | | | | | | | | | | | | (19897) ~ (all_52_0 = e1)
% 176.29/27.26 | | | | | | | | | | | | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (162) gives:
% 176.29/27.26 | | | | | | | | | | | | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.29/27.26 | | | | | | | | | | | | | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | | | | | | | | | | | | | (19898) ~ (all_58_2 = e3)
% 176.29/27.26 | | | | | | | | | | | | | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (478), (19898) imply:
% 176.29/27.26 | | | | | | | | | | | | | | | | | | | | | | (19899) ~ (all_52_2 = e3)
% 176.29/27.26 | | | | | | | | | | | | | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (164) gives:
% 176.29/27.26 | | | | | | | | | | | | | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.29/27.26 | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | | | | | | | | | | | | | | (19900) ~ (all_58_1 = e1)
% 176.29/27.26 | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (481), (19900) imply:
% 176.29/27.26 | | | | | | | | | | | | | | | | | | | | | | | (19901) ~ (all_52_1 = e1)
% 176.29/27.26 | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (161) gives:
% 176.29/27.26 | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.29/27.26 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | | | | | | | | | | | | | | | (19902) ~ (all_58_2 = e2)
% 176.29/27.26 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (478), (19902) imply:
% 176.29/27.26 | | | | | | | | | | | | | | | | | | | | | | | | (19903) ~ (all_52_2 = e2)
% 176.29/27.26 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (160) gives:
% 176.29/27.26 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.29/27.26 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | (19904) ~ (all_58_2 = e0)
% 176.29/27.26 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (478), (19904) imply:
% 176.29/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | (19905) ~ (all_52_2 = e0)
% 176.29/27.26 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (50), (148), (149), (157), (475), (478), (538),
% 176.29/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | (539), (633), (748), (765), (19290), (19880),
% 176.29/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | (19891), (19895), (19899), (19903), (19905) are
% 176.29/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #240.
% 176.29/27.26 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.29/27.26 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | (19906) all_58_3 = e1
% 176.29/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | (19907) all_58_2 = e0
% 176.29/27.26 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (478), (19907) imply:
% 176.29/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | (19908) all_52_2 = e0
% 176.29/27.26 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (19908) implies:
% 176.29/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | (19909) all_52_2 = e0
% 176.29/27.26 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (475), (19906) imply:
% 176.29/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | (19910) all_52_3 = e1
% 176.29/27.26 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (19910) implies:
% 176.29/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | (19911) all_52_3 = e1
% 176.29/27.26 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (50), (224), (227), (693), (748), (765),
% 176.29/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | (18012), (19282), (19873), (19909), (19911) are
% 176.29/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #222.
% 176.29/27.26 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.29/27.26 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.29/27.26 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | | | | | | | | | | | | | | | (19912) all_58_1 = e1
% 176.29/27.26 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (481), (19901), (19912) are inconsistent by
% 176.29/27.26 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #424.
% 176.29/27.26 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.29/27.26 | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.29/27.26 | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/27.26 | | | | | | | | | | | | | | | | | | | | | | | (19913) all_58_2 = e2
% 176.29/27.26 | | | | | | | | | | | | | | | | | | | | | | | (19914) all_58_1 = e1
% 176.29/27.26 | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (50), (229), (232), (478), (481), (659),
% 176.29/27.27 | | | | | | | | | | | | | | | | | | | | | | | (724), (731), (748), (17773), (19341), (19913),
% 176.29/27.27 | | | | | | | | | | | | | | | | | | | | | | | (19914) are inconsistent by sub-proof #70.
% 176.29/27.27 | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.29/27.27 | | | | | | | | | | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.29/27.27 | | | | | | | | | | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | | | | | | | | | | (19915) all_58_0 = e1
% 176.29/27.27 | | | | | | | | | | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (484), (19897), (19915) are inconsistent by
% 176.29/27.27 | | | | | | | | | | | | | | | | | | | | | | sub-proof #470.
% 176.29/27.27 | | | | | | | | | | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | | | | | | | | | End of split
% 176.29/27.27 | | | | | | | | | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.29/27.27 | | | | | | | | | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | | | | | | | | | (19916) all_58_2 = e3
% 176.29/27.27 | | | | | | | | | | | | | | | | | | | | | (19917) all_58_0 = e1
% 176.29/27.27 | | | | | | | | | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (484), (19917) imply:
% 176.29/27.27 | | | | | | | | | | | | | | | | | | | | | (19918) all_52_0 = e1
% 176.29/27.27 | | | | | | | | | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | | | | | | | | | SIMP: (19918) implies:
% 176.29/27.27 | | | | | | | | | | | | | | | | | | | | | (19919) all_52_0 = e1
% 176.29/27.27 | | | | | | | | | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (478), (19916) imply:
% 176.29/27.27 | | | | | | | | | | | | | | | | | | | | | (19920) all_52_2 = e3
% 176.29/27.27 | | | | | | | | | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | | | | | | | | | SIMP: (19920) implies:
% 176.29/27.27 | | | | | | | | | | | | | | | | | | | | | (19921) all_52_2 = e3
% 176.29/27.27 | | | | | | | | | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | | | | | | | | | REDUCE: (628), (19919) imply:
% 176.29/27.27 | | | | | | | | | | | | | | | | | | | | | (19922) ~ (all_52_1 = e1)
% 176.29/27.27 | | | | | | | | | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | | | | | | | | | SIMP: (19922) implies:
% 176.29/27.27 | | | | | | | | | | | | | | | | | | | | | (19923) ~ (all_52_1 = e1)
% 176.29/27.27 | | | | | | | | | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | | | | | | | | | REDUCE: (631), (19921) imply:
% 176.29/27.27 | | | | | | | | | | | | | | | | | | | | | (19924) ~ (all_52_1 = e3)
% 176.29/27.27 | | | | | | | | | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (50), (150), (536), (731), (17713), (18011),
% 176.29/27.27 | | | | | | | | | | | | | | | | | | | | | (19889), (19923), (19924) are inconsistent by
% 176.29/27.27 | | | | | | | | | | | | | | | | | | | | | sub-proof #98.
% 176.29/27.27 | | | | | | | | | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | | | | | | | | End of split
% 176.29/27.27 | | | | | | | | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | | | | | | | Case 2:
% 176.29/27.27 | | | | | | | | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | | | | | | | | (19925) all_58_0 = e0
% 176.29/27.27 | | | | | | | | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (484), (19893), (19925) are inconsistent by
% 176.29/27.27 | | | | | | | | | | | | | | | | | | | | sub-proof #283.
% 176.29/27.27 | | | | | | | | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | | | | | | | End of split
% 176.29/27.27 | | | | | | | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | | | | | | Case 2:
% 176.29/27.27 | | | | | | | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | | | | | | | (19926) all_58_3 = e3
% 176.29/27.27 | | | | | | | | | | | | | | | | | | | (19927) all_58_0 = e0
% 176.29/27.27 | | | | | | | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (484), (19927) imply:
% 176.29/27.27 | | | | | | | | | | | | | | | | | | | (19928) all_52_0 = e0
% 176.29/27.27 | | | | | | | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | | | | | | | SIMP: (19928) implies:
% 176.29/27.27 | | | | | | | | | | | | | | | | | | | (19929) all_52_0 = e0
% 176.29/27.27 | | | | | | | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (475), (19926) imply:
% 176.29/27.27 | | | | | | | | | | | | | | | | | | | (19930) all_52_3 = e3
% 176.29/27.27 | | | | | | | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | | | | | | | SIMP: (19930) implies:
% 176.29/27.27 | | | | | | | | | | | | | | | | | | | (19931) all_52_3 = e3
% 176.29/27.27 | | | | | | | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | | | | | | | REDUCE: (714), (19929) imply:
% 176.29/27.27 | | | | | | | | | | | | | | | | | | | (19932) op(e3, e0) = unit
% 176.29/27.27 | | | | | | | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | | | | | | | REDUCE: (765), (19931) imply:
% 176.29/27.27 | | | | | | | | | | | | | | | | | | | (19933) op(e0, e3) = unit
% 176.29/27.27 | | | | | | | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_3, unit, e3, e0,
% 176.29/27.27 | | | | | | | | | | | | | | | | | | | simplifying with (226), (19933) gives:
% 176.29/27.27 | | | | | | | | | | | | | | | | | | | (19934) all_61_3 = unit
% 176.29/27.27 | | | | | | | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_12, unit, e0, e3,
% 176.29/27.27 | | | | | | | | | | | | | | | | | | | simplifying with (235), (19932) gives:
% 176.29/27.27 | | | | | | | | | | | | | | | | | | | (19935) all_61_12 = unit
% 176.29/27.27 | | | | | | | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | | | | | | | REDUCE: (17755), (19935) imply:
% 176.29/27.27 | | | | | | | | | | | | | | | | | | | (19936) ~ (all_6_1 = unit)
% 176.29/27.27 | | | | | | | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | | | | | | | SIMP: (19936) implies:
% 176.29/27.27 | | | | | | | | | | | | | | | | | | | (19937) ~ (all_6_1 = unit)
% 176.29/27.27 | | | | | | | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | | | | | | | REDUCE: (19827), (19935) imply:
% 176.29/27.27 | | | | | | | | | | | | | | | | | | | (19938) ~ (unit = e2)
% 176.29/27.27 | | | | | | | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | | | | | | | REDUCE: (19871), (19935) imply:
% 176.29/27.27 | | | | | | | | | | | | | | | | | | | (19939) ~ (unit = e0)
% 176.29/27.27 | | | | | | | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | | | | | | | BETA: splitting (18012) gives:
% 176.29/27.27 | | | | | | | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | | | | | | | Case 1:
% 176.29/27.27 | | | | | | | | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | | | | | | | | (19940) unit = e2
% 176.29/27.27 | | | | | | | | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | | | | | | | | REDUCE: (19938), (19940) imply:
% 176.29/27.27 | | | | | | | | | | | | | | | | | | | | (19941) $false
% 176.29/27.27 | | | | | | | | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | | | | | | | | CLOSE: (19941) is inconsistent.
% 176.29/27.27 | | | | | | | | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | | | | | | | Case 2:
% 176.29/27.27 | | | | | | | | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | | | | | | | | (19942) unit = e1 | unit = e0
% 176.29/27.27 | | | | | | | | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | | | | | | | | BETA: splitting (19942) gives:
% 176.29/27.27 | | | | | | | | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.29/27.27 | | | | | | | | | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | | | | | | | | | (19943) unit = e1
% 176.29/27.27 | | | | | | | | | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | | | | | | | | | REDUCE: (19937), (19943) imply:
% 176.29/27.27 | | | | | | | | | | | | | | | | | | | | | (19944) ~ (all_6_1 = e1)
% 176.29/27.27 | | | | | | | | | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | | | | | | | | | REDUCE: (19933), (19943) imply:
% 176.29/27.27 | | | | | | | | | | | | | | | | | | | | | (19945) op(e0, e3) = e1
% 176.29/27.27 | | | | | | | | | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (50), (267), (17738), (17758), (19824), (19829),
% 176.29/27.27 | | | | | | | | | | | | | | | | | | | | | (19850), (19944), (19945) are inconsistent by
% 176.29/27.27 | | | | | | | | | | | | | | | | | | | | | sub-proof #69.
% 176.29/27.27 | | | | | | | | | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.29/27.27 | | | | | | | | | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | | | | | | | | | (19946) ~ (unit = e1)
% 176.29/27.27 | | | | | | | | | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18012), (19938), (19939), (19946) are
% 176.29/27.27 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #398.
% 176.29/27.27 | | | | | | | | | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | | | | | | | | End of split
% 176.29/27.27 | | | | | | | | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | | | | | | | End of split
% 176.29/27.27 | | | | | | | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | | | | | | End of split
% 176.29/27.27 | | | | | | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | | | | | Case 2:
% 176.29/27.27 | | | | | | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | | | | | | (19947) all_58_1 = e0
% 176.29/27.27 | | | | | | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | | | | | | REF_CLOSE: (481), (19889), (19947) are inconsistent by
% 176.29/27.27 | | | | | | | | | | | | | | | | | | sub-proof #462.
% 176.29/27.27 | | | | | | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | | | | | End of split
% 176.29/27.27 | | | | | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | | | | Case 2:
% 176.29/27.27 | | | | | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | | | | | (19948) all_58_1 = e0
% 176.29/27.27 | | | | | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (50), (231), (481), (731), (19872), (19887),
% 176.29/27.27 | | | | | | | | | | | | | | | | | (19948) are inconsistent by sub-proof #87.
% 176.29/27.27 | | | | | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | | | | End of split
% 176.29/27.27 | | | | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | | | End of split
% 176.29/27.27 | | | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | | End of split
% 176.29/27.27 | | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | End of split
% 176.29/27.27 | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | Case 2:
% 176.29/27.27 | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | (19949) all_42_2 = e1
% 176.29/27.27 | | | | | | | | | | | | | (19950) op(e0, e1) = all_42_1 & $i(all_42_1) & ( ~
% 176.29/27.27 | | | | | | | | | | | | | (all_42_1 = e3) | ( ~ (all_42_0 = e2) & op(e3,
% 176.29/27.27 | | | | | | | | | | | | | e0) = all_42_0 & $i(all_42_0)))
% 176.29/27.27 | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | ALPHA: (19950) implies:
% 176.29/27.27 | | | | | | | | | | | | | (19951) op(e0, e1) = all_42_1
% 176.29/27.27 | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | COMBINE_EQS: (532), (19949) imply:
% 176.29/27.27 | | | | | | | | | | | | | (19952) all_20_2 = e1
% 176.29/27.27 | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | SIMP: (19952) implies:
% 176.29/27.27 | | | | | | | | | | | | | (19953) all_20_2 = e1
% 176.29/27.27 | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | REDUCE: (606), (19953) imply:
% 176.29/27.27 | | | | | | | | | | | | | (19954) ~ (all_61_3 = e1)
% 176.29/27.27 | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | REDUCE: (627), (19953) imply:
% 176.29/27.27 | | | | | | | | | | | | | (19955) ~ (all_61_14 = e1)
% 176.29/27.27 | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | REDUCE: (19853), (19953) imply:
% 176.29/27.27 | | | | | | | | | | | | | (19956) ~ (e2 = e1)
% 176.29/27.27 | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | REDUCE: (696), (19953) imply:
% 176.29/27.27 | | | | | | | | | | | | | (19957) op(e1, e1) = all_65_77
% 176.29/27.27 | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | REDUCE: (697), (19953) imply:
% 176.29/27.27 | | | | | | | | | | | | | (19958) op(e1, e0) = all_65_78
% 176.29/27.27 | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | REDUCE: (713), (19953) imply:
% 176.29/27.27 | | | | | | | | | | | | | (19959) op(e3, e1) = all_65_15
% 176.29/27.27 | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | REDUCE: (747), (19953) imply:
% 176.29/27.27 | | | | | | | | | | | | | (19960) op(e1, e1) = all_65_47
% 176.29/27.27 | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | REDUCE: (764), (19953) imply:
% 176.29/27.27 | | | | | | | | | | | | | (19961) op(e0, e1) = all_65_78
% 176.29/27.27 | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | REDUCE: (76), (19953) imply:
% 176.29/27.27 | | | | | | | | | | | | | (19962) op(e0, e0) = e1
% 176.29/27.27 | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_11, all_65_78, e1,
% 176.29/27.27 | | | | | | | | | | | | | e0, simplifying with (224), (19961) gives:
% 176.29/27.27 | | | | | | | | | | | | | (19963) all_65_78 = all_61_11
% 176.29/27.27 | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_42_1, all_65_78, e1,
% 176.29/27.27 | | | | | | | | | | | | | e0, simplifying with (19951), (19961) gives:
% 176.29/27.27 | | | | | | | | | | | | | (19964) all_65_78 = all_42_1
% 176.29/27.27 | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_14, all_65_78, e0,
% 176.29/27.27 | | | | | | | | | | | | | e1, simplifying with (227), (19958) gives:
% 176.29/27.27 | | | | | | | | | | | | | (19965) all_65_78 = all_61_14
% 176.29/27.27 | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e2, all_65_47, e1, e1,
% 176.29/27.27 | | | | | | | | | | | | | simplifying with (19290), (19960) gives:
% 176.29/27.27 | | | | | | | | | | | | | (19966) all_65_47 = e2
% 176.29/27.27 | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_77, all_65_47, e1,
% 176.29/27.27 | | | | | | | | | | | | | e1, simplifying with (19957), (19960) gives:
% 176.29/27.27 | | | | | | | | | | | | | (19967) all_65_47 = all_65_77
% 176.29/27.27 | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_8, all_65_15, e1,
% 176.29/27.27 | | | | | | | | | | | | | e3, simplifying with (236), (19959) gives:
% 176.29/27.27 | | | | | | | | | | | | | (19968) all_65_15 = all_61_8
% 176.29/27.27 | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | COMBINE_EQS: (19966), (19967) imply:
% 176.29/27.27 | | | | | | | | | | | | | (19969) all_65_77 = e2
% 176.29/27.27 | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | COMBINE_EQS: (19963), (19964) imply:
% 176.29/27.27 | | | | | | | | | | | | | (19970) all_61_11 = all_42_1
% 176.29/27.27 | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | SIMP: (19970) implies:
% 176.29/27.27 | | | | | | | | | | | | | (19971) all_61_11 = all_42_1
% 176.29/27.27 | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | COMBINE_EQS: (19964), (19965) imply:
% 176.29/27.27 | | | | | | | | | | | | | (19972) all_61_14 = all_42_1
% 176.29/27.27 | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | SIMP: (19972) implies:
% 176.29/27.27 | | | | | | | | | | | | | (19973) all_61_14 = all_42_1
% 176.29/27.27 | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | REDUCE: (206), (19971) imply:
% 176.29/27.27 | | | | | | | | | | | | | (19974) ~ (all_61_3 = all_42_1)
% 176.29/27.27 | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | REDUCE: (19339), (19973) imply:
% 176.29/27.27 | | | | | | | | | | | | | (19975) ~ (all_61_8 = all_42_1)
% 176.29/27.27 | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | REDUCE: (19282), (19973) imply:
% 176.29/27.27 | | | | | | | | | | | | | (19976) ~ (all_42_1 = e2)
% 176.29/27.27 | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | REDUCE: (19955), (19973) imply:
% 176.29/27.27 | | | | | | | | | | | | | (19977) ~ (all_42_1 = e1)
% 176.29/27.27 | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | REDUCE: (19325), (19971) imply:
% 176.29/27.27 | | | | | | | | | | | | | (19978) op(all_42_1, e1) = all_61_7
% 176.29/27.27 | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | REDUCE: (649), (19968) imply:
% 176.29/27.27 | | | | | | | | | | | | | (19979) op(all_61_12, e0) = all_61_8
% 176.29/27.27 | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | REDUCE: (680), (19973) imply:
% 176.29/27.27 | | | | | | | | | | | | | (19980) op(all_42_1, e1) = all_65_46
% 176.29/27.27 | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | REDUCE: (746), (19971) imply:
% 176.29/27.27 | | | | | | | | | | | | | (19981) op(e1, all_42_1) = all_65_46
% 176.29/27.27 | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | REDUCE: (19331), (19973) imply:
% 176.29/27.27 | | | | | | | | | | | | | (19982) op(e1, all_42_1) = all_61_13
% 176.29/27.27 | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | REDUCE: (227), (19973) imply:
% 176.29/27.27 | | | | | | | | | | | | | (19983) op(e1, e0) = all_42_1
% 176.29/27.27 | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_13, all_65_46,
% 176.29/27.27 | | | | | | | | | | | | | all_42_1, e1, simplifying with (19981), (19982)
% 176.29/27.27 | | | | | | | | | | | | | gives:
% 176.29/27.27 | | | | | | | | | | | | | (19984) all_65_46 = all_61_13
% 176.29/27.27 | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_7, all_65_46, e1,
% 176.29/27.27 | | | | | | | | | | | | | all_42_1, simplifying with (19978), (19980) gives:
% 176.29/27.27 | | | | | | | | | | | | | (19985) all_65_46 = all_61_7
% 176.29/27.27 | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | COMBINE_EQS: (19984), (19985) imply:
% 176.29/27.27 | | | | | | | | | | | | | (19986) all_61_7 = all_61_13
% 176.29/27.27 | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | REDUCE: (17768), (19986) imply:
% 176.29/27.27 | | | | | | | | | | | | | (19987) op(all_61_13, e2) = all_61_3
% 176.29/27.27 | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | REDUCE: (728), (19986) imply:
% 176.29/27.27 | | | | | | | | | | | | | (19988) op(e2, all_61_13) = all_65_29
% 176.29/27.27 | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_12, all_65_29,
% 176.29/27.27 | | | | | | | | | | | | | all_61_13, e2, simplifying with (17774), (19988)
% 176.29/27.27 | | | | | | | | | | | | | gives:
% 176.29/27.27 | | | | | | | | | | | | | (19989) all_65_29 = all_61_12
% 176.29/27.27 | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_29, all_61_3, e2,
% 176.29/27.27 | | | | | | | | | | | | | all_61_13, simplifying with (663), (19987) gives:
% 176.29/27.27 | | | | | | | | | | | | | (19990) all_65_29 = all_61_3
% 176.29/27.27 | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | COMBINE_EQS: (19989), (19990) imply:
% 176.29/27.27 | | | | | | | | | | | | | (19991) all_61_3 = all_61_12
% 176.29/27.27 | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | SIMP: (19991) implies:
% 176.29/27.27 | | | | | | | | | | | | | (19992) all_61_3 = all_61_12
% 176.29/27.27 | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | REDUCE: (19338), (19992) imply:
% 176.29/27.27 | | | | | | | | | | | | | (19993) ~ (all_61_8 = all_61_12)
% 176.29/27.27 | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | REDUCE: (19974), (19992) imply:
% 176.29/27.27 | | | | | | | | | | | | | (19994) ~ (all_61_12 = all_42_1)
% 176.29/27.27 | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | REDUCE: (19954), (19992) imply:
% 176.29/27.27 | | | | | | | | | | | | | (19995) ~ (all_61_12 = e1)
% 176.29/27.27 | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | REDUCE: (685), (19992) imply:
% 176.29/27.27 | | | | | | | | | | | | | (19996) op(all_61_12, e0) = all_65_55
% 176.29/27.27 | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | REDUCE: (19987), (19992) imply:
% 176.29/27.27 | | | | | | | | | | | | | (19997) op(all_61_13, e2) = all_61_12
% 176.29/27.27 | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_8, all_65_55, e0,
% 176.29/27.27 | | | | | | | | | | | | | all_61_12, simplifying with (19979), (19996)
% 176.29/27.27 | | | | | | | | | | | | | gives:
% 176.29/27.27 | | | | | | | | | | | | | (19998) all_65_55 = all_61_8
% 176.29/27.27 | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | REDUCE: (752), (19998) imply:
% 176.29/27.27 | | | | | | | | | | | | | (19999) op(e0, all_61_12) = all_61_8
% 176.29/27.27 | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | BETA: splitting (165) gives:
% 176.29/27.27 | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | Case 1:
% 176.29/27.27 | | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | | (20000) ~ (all_58_1 = e3)
% 176.29/27.27 | | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | | REDUCE: (481), (20000) imply:
% 176.29/27.27 | | | | | | | | | | | | | | (20001) ~ (all_52_1 = e3)
% 176.29/27.27 | | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | | BETA: splitting (168) gives:
% 176.29/27.27 | | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | | Case 1:
% 176.29/27.27 | | | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | | | (20002) ~ (all_58_0 = e2)
% 176.29/27.27 | | | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | | | REDUCE: (484), (20002) imply:
% 176.29/27.27 | | | | | | | | | | | | | | | (20003) ~ (all_52_0 = e2)
% 176.29/27.27 | | | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | | | BETA: splitting (163) gives:
% 176.29/27.27 | | | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | | | Case 1:
% 176.29/27.27 | | | | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | | | | (20004) ~ (all_58_1 = e0)
% 176.29/27.27 | | | | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | | | | REDUCE: (481), (20004) imply:
% 176.29/27.27 | | | | | | | | | | | | | | | | (20005) ~ (all_52_1 = e0)
% 176.29/27.27 | | | | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | | | | REF_CLOSE: (9), (50), (150), (161), (164), (165), (229),
% 176.29/27.27 | | | | | | | | | | | | | | | | (232), (478), (481), (484), (536), (659), (724),
% 176.29/27.27 | | | | | | | | | | | | | | | | (731), (748), (17713), (17773), (18011), (19341),
% 176.29/27.27 | | | | | | | | | | | | | | | | (20003), (20005) are inconsistent by sub-proof
% 176.29/27.27 | | | | | | | | | | | | | | | | #66.
% 176.29/27.27 | | | | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | | | Case 2:
% 176.29/27.27 | | | | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | | | | (20006) all_58_1 = e0
% 176.29/27.27 | | | | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | | | | COMBINE_EQS: (481), (20006) imply:
% 176.29/27.27 | | | | | | | | | | | | | | | | (20007) all_52_1 = e0
% 176.29/27.27 | | | | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | | | | SIMP: (20007) implies:
% 176.29/27.27 | | | | | | | | | | | | | | | | (20008) all_52_1 = e0
% 176.29/27.27 | | | | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | | | | REDUCE: (731), (20008) imply:
% 176.29/27.27 | | | | | | | | | | | | | | | | (20009) op(e2, e0) = unit
% 176.29/27.27 | | | | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | | | | REF_CLOSE: (9), (50), (231), (19827), (19997), (20009) are
% 176.29/27.27 | | | | | | | | | | | | | | | | inconsistent by sub-proof #63.
% 176.29/27.27 | | | | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | | | End of split
% 176.29/27.27 | | | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | | Case 2:
% 176.29/27.27 | | | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | | | (20010) all_58_1 = e3
% 176.29/27.27 | | | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | | | REF_CLOSE: (481), (20001), (20010) are inconsistent by
% 176.29/27.27 | | | | | | | | | | | | | | | sub-proof #511.
% 176.29/27.27 | | | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | | End of split
% 176.29/27.27 | | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | Case 2:
% 176.29/27.27 | | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | | (20011) all_58_1 = e3
% 176.29/27.27 | | | | | | | | | | | | | | (20012) all_58_0 = e2
% 176.29/27.27 | | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | | COMBINE_EQS: (484), (20012) imply:
% 176.29/27.27 | | | | | | | | | | | | | | (20013) all_52_0 = e2
% 176.29/27.27 | | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | | SIMP: (20013) implies:
% 176.29/27.27 | | | | | | | | | | | | | | (20014) all_52_0 = e2
% 176.29/27.27 | | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | | COMBINE_EQS: (481), (20011) imply:
% 176.29/27.27 | | | | | | | | | | | | | | (20015) all_52_1 = e3
% 176.29/27.27 | | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | | SIMP: (20015) implies:
% 176.29/27.27 | | | | | | | | | | | | | | (20016) all_52_1 = e3
% 176.29/27.27 | | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | | REDUCE: (630), (20014) imply:
% 176.29/27.27 | | | | | | | | | | | | | | (20017) ~ (all_52_3 = e2)
% 176.29/27.27 | | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | | SIMP: (20017) implies:
% 176.29/27.27 | | | | | | | | | | | | | | (20018) ~ (all_52_3 = e2)
% 176.29/27.27 | | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | | REDUCE: (632), (20016) imply:
% 176.29/27.27 | | | | | | | | | | | | | | (20019) ~ (all_52_3 = e3)
% 176.29/27.27 | | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | | SIMP: (20019) implies:
% 176.29/27.27 | | | | | | | | | | | | | | (20020) ~ (all_52_3 = e3)
% 176.29/27.27 | | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | | REDUCE: (714), (20014) imply:
% 176.29/27.27 | | | | | | | | | | | | | | (20021) op(e3, e2) = unit
% 176.29/27.27 | | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_6_1, unit, e2, e3,
% 176.29/27.27 | | | | | | | | | | | | | | simplifying with (17771), (20021) gives:
% 176.29/27.27 | | | | | | | | | | | | | | (20022) all_6_1 = unit
% 176.29/27.27 | | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | | COMBINE_EQS: (19850), (20022) imply:
% 176.29/27.27 | | | | | | | | | | | | | | (20023) all_14_1 = unit
% 176.29/27.27 | | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | | REDUCE: (19352), (20022) imply:
% 176.29/27.27 | | | | | | | | | | | | | | (20024) op(unit, e1) = all_65_36
% 176.29/27.27 | | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | | REDUCE: (17775), (20022) imply:
% 176.29/27.27 | | | | | | | | | | | | | | (20025) op(e1, unit) = all_65_36
% 176.29/27.27 | | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e1, all_65_36, e1, unit,
% 176.29/27.27 | | | | | | | | | | | | | | simplifying with (8), (20024) gives:
% 176.29/27.27 | | | | | | | | | | | | | | (20026) all_65_36 = e1
% 176.29/27.27 | | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | | BETA: splitting (157) gives:
% 176.29/27.27 | | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | | Case 1:
% 176.29/27.27 | | | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | | | (20027) ~ (all_58_3 = e1)
% 176.29/27.27 | | | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | | | REDUCE: (475), (20027) imply:
% 176.29/27.27 | | | | | | | | | | | | | | | (20028) ~ (all_52_3 = e1)
% 176.29/27.27 | | | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | | | REF_CLOSE: (4), (20), (50), (148), (539), (765), (19290),
% 176.29/27.27 | | | | | | | | | | | | | | | (19962), (20018), (20020), (20028) are
% 176.29/27.27 | | | | | | | | | | | | | | | inconsistent by sub-proof #218.
% 176.29/27.27 | | | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | | Case 2:
% 176.29/27.27 | | | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | | | (20029) all_58_2 = e0
% 176.29/27.27 | | | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | | | COMBINE_EQS: (478), (20029) imply:
% 176.29/27.27 | | | | | | | | | | | | | | | (20030) all_52_2 = e0
% 176.29/27.27 | | | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | | | SIMP: (20030) implies:
% 176.29/27.27 | | | | | | | | | | | | | | | (20031) all_52_2 = e0
% 176.29/27.27 | | | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | | | REDUCE: (748), (20031) imply:
% 176.29/27.27 | | | | | | | | | | | | | | | (20032) op(e1, e0) = unit
% 176.29/27.27 | | | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_42_1, unit, e0, e1,
% 176.29/27.27 | | | | | | | | | | | | | | | simplifying with (19983), (20032) gives:
% 176.29/27.27 | | | | | | | | | | | | | | | (20033) all_42_1 = unit
% 176.29/27.27 | | | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | | | REDUCE: (19975), (20033) imply:
% 176.29/27.27 | | | | | | | | | | | | | | | (20034) ~ (all_61_8 = unit)
% 176.29/27.27 | | | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | | | REDUCE: (19994), (20033) imply:
% 176.29/27.27 | | | | | | | | | | | | | | | (20035) ~ (all_61_12 = unit)
% 176.29/27.27 | | | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | | | REDUCE: (19976), (20033) imply:
% 176.29/27.27 | | | | | | | | | | | | | | | (20036) ~ (unit = e2)
% 176.29/27.27 | | | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | | | REDUCE: (19977), (20033) imply:
% 176.29/27.27 | | | | | | | | | | | | | | | (20037) ~ (unit = e1)
% 176.29/27.27 | | | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | | | BETA: splitting (18012) gives:
% 176.29/27.27 | | | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | | | Case 1:
% 176.29/27.27 | | | | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | | | | (20038) unit = e2
% 176.29/27.27 | | | | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | | | | REDUCE: (20036), (20038) imply:
% 176.29/27.27 | | | | | | | | | | | | | | | | (20039) $false
% 176.29/27.27 | | | | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | | | | CLOSE: (20039) is inconsistent.
% 176.29/27.27 | | | | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | | | Case 2:
% 176.29/27.27 | | | | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | | | | (20040) unit = e1 | unit = e0
% 176.29/27.27 | | | | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | | | | BETA: splitting (20040) gives:
% 176.29/27.27 | | | | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | | | | Case 1:
% 176.29/27.27 | | | | | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | | | | | (20041) unit = e1
% 176.29/27.27 | | | | | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | | | | | REDUCE: (20037), (20041) imply:
% 176.29/27.27 | | | | | | | | | | | | | | | | | (20042) $false
% 176.29/27.27 | | | | | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | | | | | CLOSE: (20042) is inconsistent.
% 176.29/27.27 | | | | | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | | | | Case 2:
% 176.29/27.27 | | | | | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | | | | | (20043) unit = e0
% 176.29/27.27 | | | | | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | | | | | COMBINE_EQS: (20023), (20043) imply:
% 176.29/27.27 | | | | | | | | | | | | | | | | | (20044) all_14_1 = e0
% 176.29/27.27 | | | | | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | | | | | REDUCE: (20034), (20043) imply:
% 176.29/27.27 | | | | | | | | | | | | | | | | | (20045) ~ (all_61_8 = e0)
% 176.29/27.27 | | | | | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | | | | | REDUCE: (20035), (20043) imply:
% 176.29/27.27 | | | | | | | | | | | | | | | | | (20046) ~ (all_61_12 = e0)
% 176.29/27.27 | | | | | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | | | | | BETA: splitting (268) gives:
% 176.29/27.27 | | | | | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | | | | | Case 1:
% 176.29/27.27 | | | | | | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | | | | | | (20047) all_63_3 = e3
% 176.29/27.27 | | | | | | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (491), (20047) imply:
% 176.29/27.27 | | | | | | | | | | | | | | | | | | (20048) all_61_12 = e3
% 176.29/27.27 | | | | | | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | | | | | | REDUCE: (187), (20048) imply:
% 176.29/27.27 | | | | | | | | | | | | | | | | | | (20049) ~ (all_61_8 = e3)
% 176.29/27.27 | | | | | | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | | | | | | REDUCE: (19999), (20048) imply:
% 176.29/27.27 | | | | | | | | | | | | | | | | | | (20050) op(e0, e3) = all_61_8
% 176.29/27.27 | | | | | | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | | | | | | BETA: splitting (263) gives:
% 176.29/27.27 | | | | | | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | | | | | | Case 1:
% 176.29/27.27 | | | | | | | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | | | | | | | (20051) all_63_8 = e3
% 176.29/27.27 | | | | | | | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (19336), (20051) imply:
% 176.29/27.27 | | | | | | | | | | | | | | | | | | | (20052) all_61_8 = e3
% 176.29/27.27 | | | | | | | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | | | | | | | REDUCE: (20049), (20052) imply:
% 176.29/27.27 | | | | | | | | | | | | | | | | | | | (20053) $false
% 176.29/27.27 | | | | | | | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | | | | | | | CLOSE: (20053) is inconsistent.
% 176.29/27.27 | | | | | | | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | | | | | | Case 2:
% 176.29/27.27 | | | | | | | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | | | | | | | (20054) all_63_8 = e2 | all_63_8 = e1 | all_63_8 = e0
% 176.29/27.27 | | | | | | | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | | | | | | | BETA: splitting (20054) gives:
% 176.29/27.27 | | | | | | | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | | | | | | | Case 1:
% 176.29/27.27 | | | | | | | | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | | | | | | | | (20055) all_63_8 = e2
% 176.29/27.27 | | | | | | | | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (19336), (20055) imply:
% 176.29/27.27 | | | | | | | | | | | | | | | | | | | | (20056) all_61_8 = e2
% 176.29/27.27 | | | | | | | | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | | | | | | | | REDUCE: (19341), (20056) imply:
% 176.29/27.27 | | | | | | | | | | | | | | | | | | | | (20057) $false
% 176.29/27.27 | | | | | | | | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | | | | | | | | CLOSE: (20057) is inconsistent.
% 176.29/27.27 | | | | | | | | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | | | | | | | Case 2:
% 176.29/27.27 | | | | | | | | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | | | | | | | | (20058) all_63_8 = e1 | all_63_8 = e0
% 176.29/27.27 | | | | | | | | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | | | | | | | | BETA: splitting (19824) gives:
% 176.29/27.27 | | | | | | | | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.29/27.27 | | | | | | | | | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | | | | | | | | | (20059) ~ (all_14_1 = e0)
% 176.29/27.27 | | | | | | | | | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | | | | | | | | | REDUCE: (20044), (20059) imply:
% 176.29/27.27 | | | | | | | | | | | | | | | | | | | | | (20060) $false
% 176.29/27.27 | | | | | | | | | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | | | | | | | | | CLOSE: (20060) is inconsistent.
% 176.29/27.27 | | | | | | | | | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.29/27.27 | | | | | | | | | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | | | | | | | | | (20061) ~ (all_14_0 = e1) & op(e0, e3) = all_14_0 &
% 176.29/27.27 | | | | | | | | | | | | | | | | | | | | | $i(all_14_0)
% 176.29/27.27 | | | | | | | | | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | | | | | | | | | ALPHA: (20061) implies:
% 176.29/27.27 | | | | | | | | | | | | | | | | | | | | | (20062) ~ (all_14_0 = e1)
% 176.29/27.27 | | | | | | | | | | | | | | | | | | | | | (20063) op(e0, e3) = all_14_0
% 176.29/27.27 | | | | | | | | | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (20058) gives:
% 176.29/27.27 | | | | | | | | | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.29/27.27 | | | | | | | | | | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | | | | | | | | | | (20064) all_63_8 = e1
% 176.29/27.27 | | | | | | | | | | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (19336), (20064) imply:
% 176.29/27.27 | | | | | | | | | | | | | | | | | | | | | | (20065) all_61_8 = e1
% 176.29/27.27 | | | | | | | | | | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20050), (20065) imply:
% 176.29/27.27 | | | | | | | | | | | | | | | | | | | | | | (20066) op(e0, e3) = e1
% 176.29/27.27 | | | | | | | | | | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (50), (20062), (20063), (20066) are inconsistent
% 176.29/27.27 | | | | | | | | | | | | | | | | | | | | | | by sub-proof #304.
% 176.29/27.27 | | | | | | | | | | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.29/27.27 | | | | | | | | | | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | | | | | | | | | | (20067) all_63_8 = e0
% 176.29/27.27 | | | | | | | | | | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (19336), (20067) imply:
% 176.29/27.27 | | | | | | | | | | | | | | | | | | | | | | (20068) all_61_8 = e0
% 176.29/27.27 | | | | | | | | | | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20045), (20068) imply:
% 176.29/27.27 | | | | | | | | | | | | | | | | | | | | | | (20069) $false
% 176.29/27.27 | | | | | | | | | | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (20069) is inconsistent.
% 176.29/27.27 | | | | | | | | | | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | | | | | | | | | End of split
% 176.29/27.27 | | | | | | | | | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | | | | | | | | End of split
% 176.29/27.27 | | | | | | | | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | | | | | | | End of split
% 176.29/27.27 | | | | | | | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | | | | | | End of split
% 176.29/27.27 | | | | | | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | | | | | Case 2:
% 176.29/27.27 | | | | | | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | | | | | | (20070) all_63_3 = e2 | all_63_3 = e1 | all_63_3 = e0
% 176.29/27.27 | | | | | | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | | | | | | REF_CLOSE: (491), (19827), (19995), (20046), (20070) are
% 176.29/27.27 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #489.
% 176.29/27.27 | | | | | | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | | | | | End of split
% 176.29/27.27 | | | | | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | | | | End of split
% 176.29/27.27 | | | | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | | | End of split
% 176.29/27.27 | | | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | | End of split
% 176.29/27.27 | | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | End of split
% 176.29/27.27 | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | End of split
% 176.29/27.27 | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | Case 2:
% 176.29/27.27 | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | (20071) all_28_2 = e3
% 176.29/27.27 | | | | | | | | | | | | (20072) op(e0, e3) = all_28_1 & $i(all_28_1) & ( ~
% 176.29/27.27 | | | | | | | | | | | | (all_28_1 = e2) | ( ~ (all_28_0 = e1) & op(e2,
% 176.29/27.27 | | | | | | | | | | | | e0) = all_28_0 & $i(all_28_0)))
% 176.29/27.27 | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | ALPHA: (20072) implies:
% 176.29/27.27 | | | | | | | | | | | | (20073) op(e0, e3) = all_28_1
% 176.29/27.27 | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | COMBINE_EQS: (563), (20071) imply:
% 176.29/27.27 | | | | | | | | | | | | (20074) all_20_2 = e3
% 176.29/27.27 | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | SIMP: (20074) implies:
% 176.29/27.27 | | | | | | | | | | | | (20075) all_20_2 = e3
% 176.29/27.27 | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | COMBINE_EQS: (555), (20075) imply:
% 176.29/27.27 | | | | | | | | | | | | (20076) all_34_2 = e3
% 176.29/27.27 | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | REDUCE: (624), (20075) imply:
% 176.29/27.27 | | | | | | | | | | | | (20077) ~ (all_61_11 = e3)
% 176.29/27.27 | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | REDUCE: (625), (20075) imply:
% 176.29/27.27 | | | | | | | | | | | | (20078) ~ (all_61_12 = e3)
% 176.29/27.27 | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | REDUCE: (697), (20075) imply:
% 176.29/27.27 | | | | | | | | | | | | (20079) op(e3, e0) = all_65_78
% 176.29/27.27 | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | REDUCE: (764), (20075) imply:
% 176.29/27.27 | | | | | | | | | | | | (20080) op(e0, e3) = all_65_78
% 176.29/27.27 | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | REDUCE: (76), (20075) imply:
% 176.29/27.27 | | | | | | | | | | | | (20081) op(e0, e0) = e3
% 176.29/27.27 | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | BETA: splitting (98) gives:
% 176.29/27.27 | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | Case 1:
% 176.29/27.27 | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | (20082) ~ (all_34_2 = e3)
% 176.29/27.27 | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | REDUCE: (20076), (20082) imply:
% 176.29/27.27 | | | | | | | | | | | | | (20083) $false
% 176.29/27.27 | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | CLOSE: (20083) is inconsistent.
% 176.29/27.27 | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | Case 2:
% 176.29/27.27 | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | (20084) op(e0, e3) = all_34_1 & $i(all_34_1) & ( ~
% 176.29/27.27 | | | | | | | | | | | | | (all_34_1 = e1) | ( ~ (all_34_0 = e2) & op(e1,
% 176.29/27.27 | | | | | | | | | | | | | e0) = all_34_0 & $i(all_34_0)))
% 176.29/27.27 | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | ALPHA: (20084) implies:
% 176.29/27.27 | | | | | | | | | | | | | (20085) op(e0, e3) = all_34_1
% 176.29/27.27 | | | | | | | | | | | | |
% 176.29/27.27 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_3, all_28_1, e3,
% 176.29/27.27 | | | | | | | | | | | | | e0, simplifying with (226), (20073) gives:
% 176.29/27.28 | | | | | | | | | | | | | (20086) all_61_3 = all_28_1
% 176.29/27.28 | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_3, all_65_78, e3,
% 176.29/27.28 | | | | | | | | | | | | | e0, simplifying with (226), (20080) gives:
% 176.29/27.28 | | | | | | | | | | | | | (20087) all_65_78 = all_61_3
% 176.29/27.28 | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_34_1, all_65_78, e3,
% 176.29/27.28 | | | | | | | | | | | | | e0, simplifying with (20080), (20085) gives:
% 176.29/27.28 | | | | | | | | | | | | | (20088) all_65_78 = all_34_1
% 176.29/27.28 | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_12, all_65_78, e0,
% 176.29/27.28 | | | | | | | | | | | | | e3, simplifying with (235), (20079) gives:
% 176.29/27.28 | | | | | | | | | | | | | (20089) all_65_78 = all_61_12
% 176.29/27.28 | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | COMBINE_EQS: (20088), (20089) imply:
% 176.29/27.28 | | | | | | | | | | | | | (20090) all_61_12 = all_34_1
% 176.29/27.28 | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | SIMP: (20090) implies:
% 176.29/27.28 | | | | | | | | | | | | | (20091) all_61_12 = all_34_1
% 176.29/27.28 | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | COMBINE_EQS: (20087), (20088) imply:
% 176.29/27.28 | | | | | | | | | | | | | (20092) all_61_3 = all_34_1
% 176.29/27.28 | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | SIMP: (20092) implies:
% 176.29/27.28 | | | | | | | | | | | | | (20093) all_61_3 = all_34_1
% 176.29/27.28 | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | COMBINE_EQS: (20086), (20093) imply:
% 176.29/27.28 | | | | | | | | | | | | | (20094) all_34_1 = all_28_1
% 176.29/27.28 | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | COMBINE_EQS: (20091), (20094) imply:
% 176.29/27.28 | | | | | | | | | | | | | (20095) all_61_12 = all_28_1
% 176.29/27.28 | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | COMBINE_EQS: (491), (20095) imply:
% 176.29/27.28 | | | | | | | | | | | | | (20096) all_63_3 = all_28_1
% 176.29/27.28 | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | REDUCE: (207), (20086) imply:
% 176.29/27.28 | | | | | | | | | | | | | (20097) ~ (all_61_7 = all_28_1)
% 176.29/27.28 | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | SIMP: (20097) implies:
% 176.29/27.28 | | | | | | | | | | | | | (20098) ~ (all_61_7 = all_28_1)
% 176.29/27.28 | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | REDUCE: (179), (20095) imply:
% 176.29/27.28 | | | | | | | | | | | | | (20099) ~ (all_61_14 = all_28_1)
% 176.29/27.28 | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | SIMP: (20099) implies:
% 176.29/27.28 | | | | | | | | | | | | | (20100) ~ (all_61_14 = all_28_1)
% 176.29/27.28 | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | REDUCE: (20078), (20095) imply:
% 176.29/27.28 | | | | | | | | | | | | | (20101) ~ (all_28_1 = e3)
% 176.29/27.28 | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | REDUCE: (19827), (20095) imply:
% 176.29/27.28 | | | | | | | | | | | | | (20102) ~ (all_28_1 = e2)
% 176.29/27.28 | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | REDUCE: (19851), (20086) imply:
% 176.29/27.28 | | | | | | | | | | | | | (20103) op(all_28_1, e3) = all_61_7
% 176.29/27.28 | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | REDUCE: (17768), (20086) imply:
% 176.29/27.28 | | | | | | | | | | | | | (20104) op(all_61_7, e2) = all_28_1
% 176.29/27.28 | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | REDUCE: (646), (20095) imply:
% 176.29/27.28 | | | | | | | | | | | | | (20105) op(all_28_1, e3) = all_65_12
% 176.29/27.28 | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | REDUCE: (710), (20086) imply:
% 176.29/27.28 | | | | | | | | | | | | | (20106) op(e3, all_28_1) = all_65_12
% 176.29/27.28 | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | REDUCE: (19852), (20095) imply:
% 176.29/27.28 | | | | | | | | | | | | | (20107) op(e3, all_28_1) = all_61_13
% 176.29/27.28 | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_13, all_65_12,
% 176.29/27.28 | | | | | | | | | | | | | all_28_1, e3, simplifying with (20106), (20107)
% 176.29/27.28 | | | | | | | | | | | | | gives:
% 176.29/27.28 | | | | | | | | | | | | | (20108) all_65_12 = all_61_13
% 176.29/27.28 | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_7, all_65_12, e3,
% 176.29/27.28 | | | | | | | | | | | | | all_28_1, simplifying with (20103), (20105) gives:
% 176.29/27.28 | | | | | | | | | | | | | (20109) all_65_12 = all_61_7
% 176.29/27.28 | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | COMBINE_EQS: (20108), (20109) imply:
% 176.29/27.28 | | | | | | | | | | | | | (20110) all_61_7 = all_61_13
% 176.29/27.28 | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | REDUCE: (192), (20110) imply:
% 176.29/27.28 | | | | | | | | | | | | | (20111) ~ (all_61_11 = all_61_13)
% 176.29/27.28 | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | SIMP: (20111) implies:
% 176.29/27.28 | | | | | | | | | | | | | (20112) ~ (all_61_11 = all_61_13)
% 176.29/27.28 | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | REDUCE: (20098), (20110) imply:
% 176.29/27.28 | | | | | | | | | | | | | (20113) ~ (all_61_13 = all_28_1)
% 176.29/27.28 | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | REDUCE: (20104), (20110) imply:
% 176.29/27.28 | | | | | | | | | | | | | (20114) op(all_61_13, e2) = all_28_1
% 176.29/27.28 | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | REDUCE: (19325), (20110) imply:
% 176.29/27.28 | | | | | | | | | | | | | (20115) op(all_61_11, e1) = all_61_13
% 176.29/27.28 | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_29, all_28_1, e2,
% 176.29/27.28 | | | | | | | | | | | | | all_61_13, simplifying with (663), (20114) gives:
% 176.29/27.28 | | | | | | | | | | | | | (20116) all_65_29 = all_28_1
% 176.29/27.28 | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | BETA: splitting (161) gives:
% 176.29/27.28 | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | Case 1:
% 176.29/27.28 | | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | | (20117) ~ (all_58_2 = e2)
% 176.29/27.28 | | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | | REDUCE: (478), (20117) imply:
% 176.29/27.28 | | | | | | | | | | | | | | (20118) ~ (all_52_2 = e2)
% 176.29/27.28 | | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | | BETA: splitting (157) gives:
% 176.29/27.28 | | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | | Case 1:
% 176.29/27.28 | | | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | | | (20119) ~ (all_58_3 = e1)
% 176.29/27.28 | | | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | | | REDUCE: (475), (20119) imply:
% 176.29/27.28 | | | | | | | | | | | | | | | (20120) ~ (all_52_3 = e1)
% 176.29/27.28 | | | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | | | BETA: splitting (163) gives:
% 176.29/27.28 | | | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | | | Case 1:
% 176.29/27.28 | | | | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | | | | (20121) ~ (all_58_1 = e0)
% 176.29/27.28 | | | | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | | | | REDUCE: (481), (20121) imply:
% 176.29/27.28 | | | | | | | | | | | | | | | | (20122) ~ (all_52_1 = e0)
% 176.29/27.28 | | | | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | | | | BETA: splitting (158) gives:
% 176.29/27.28 | | | | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | | | | Case 1:
% 176.29/27.28 | | | | | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | | | | | (20123) ~ (all_58_3 = e2)
% 176.29/27.28 | | | | | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | | | | | REDUCE: (475), (20123) imply:
% 176.29/27.28 | | | | | | | | | | | | | | | | | (20124) ~ (all_52_3 = e2)
% 176.29/27.28 | | | | | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | | | | | BETA: splitting (159) gives:
% 176.29/27.28 | | | | | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | | | | | Case 1:
% 176.29/27.28 | | | | | | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | | | | | | (20125) ~ (all_58_3 = e3)
% 176.29/27.28 | | | | | | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | | | | | | REDUCE: (475), (20125) imply:
% 176.29/27.28 | | | | | | | | | | | | | | | | | | (20126) ~ (all_52_3 = e3)
% 176.29/27.28 | | | | | | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | | | | | | REF_CLOSE: (50), (148), (539), (765), (18011), (20081),
% 176.29/27.28 | | | | | | | | | | | | | | | | | | (20120), (20124), (20126) are inconsistent by
% 176.29/27.28 | | | | | | | | | | | | | | | | | | sub-proof #439.
% 176.29/27.28 | | | | | | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | | | | | Case 2:
% 176.29/27.28 | | | | | | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | | | | | | (20127) all_58_3 = e3
% 176.29/27.28 | | | | | | | | | | | | | | | | | | (20128) all_58_0 = e0
% 176.29/27.28 | | | | | | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (484), (20128) imply:
% 176.29/27.28 | | | | | | | | | | | | | | | | | | (20129) all_52_0 = e0
% 176.29/27.28 | | | | | | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | | | | | | SIMP: (20129) implies:
% 176.29/27.28 | | | | | | | | | | | | | | | | | | (20130) all_52_0 = e0
% 176.29/27.28 | | | | | | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (475), (20127) imply:
% 176.29/27.28 | | | | | | | | | | | | | | | | | | (20131) all_52_3 = e3
% 176.29/27.28 | | | | | | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | | | | | | REDUCE: (629), (20130) imply:
% 176.29/27.28 | | | | | | | | | | | | | | | | | | (20132) ~ (all_52_2 = e0)
% 176.29/27.28 | | | | | | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | | | | | | SIMP: (20132) implies:
% 176.29/27.28 | | | | | | | | | | | | | | | | | | (20133) ~ (all_52_2 = e0)
% 176.29/27.28 | | | | | | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | | | | | | REDUCE: (633), (20131) imply:
% 176.29/27.28 | | | | | | | | | | | | | | | | | | (20134) ~ (all_52_2 = e3)
% 176.29/27.28 | | | | | | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (50), (149), (231), (257), (510), (538),
% 176.29/27.28 | | | | | | | | | | | | | | | | | | (748), (19281), (19290), (19320), (19330),
% 176.29/27.28 | | | | | | | | | | | | | | | | | | (20077), (20112), (20118), (20133), (20134) are
% 176.29/27.28 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #238.
% 176.29/27.28 | | | | | | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | | | | | End of split
% 176.29/27.28 | | | | | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | | | | Case 2:
% 176.29/27.28 | | | | | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | | | | | (20135) all_58_1 = e0
% 176.29/27.28 | | | | | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | | | | | REF_CLOSE: (481), (20122), (20135) are inconsistent by
% 176.29/27.28 | | | | | | | | | | | | | | | | | sub-proof #462.
% 176.29/27.28 | | | | | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | | | | End of split
% 176.29/27.28 | | | | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | | | Case 2:
% 176.29/27.28 | | | | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | | | | (20136) all_58_1 = e0
% 176.29/27.28 | | | | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | | | | REF_CLOSE: (9), (50), (231), (481), (731), (20102), (20114),
% 176.29/27.28 | | | | | | | | | | | | | | | | (20136) are inconsistent by sub-proof #61.
% 176.29/27.28 | | | | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | | | End of split
% 176.29/27.28 | | | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | | Case 2:
% 176.29/27.28 | | | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | | | (20137) all_58_3 = e1
% 176.29/27.28 | | | | | | | | | | | | | | | (20138) all_58_2 = e0
% 176.29/27.28 | | | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | | | COMBINE_EQS: (478), (20138) imply:
% 176.29/27.28 | | | | | | | | | | | | | | | (20139) all_52_2 = e0
% 176.29/27.28 | | | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | | | SIMP: (20139) implies:
% 176.29/27.28 | | | | | | | | | | | | | | | (20140) all_52_2 = e0
% 176.29/27.28 | | | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | | | REF_CLOSE: (8), (50), (177), (224), (227), (268), (475),
% 176.29/27.28 | | | | | | | | | | | | | | | (680), (748), (765), (18012), (19282), (20096),
% 176.29/27.28 | | | | | | | | | | | | | | | (20100), (20101), (20102), (20113), (20115),
% 176.29/27.28 | | | | | | | | | | | | | | | (20137), (20140) are inconsistent by sub-proof
% 176.29/27.28 | | | | | | | | | | | | | | | #237.
% 176.29/27.28 | | | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | | End of split
% 176.29/27.28 | | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | Case 2:
% 176.29/27.28 | | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | | (20141) all_58_2 = e2
% 176.29/27.28 | | | | | | | | | | | | | | (20142) all_58_1 = e1
% 176.29/27.28 | | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | | REF_CLOSE: (9), (50), (229), (232), (478), (481), (659),
% 176.29/27.28 | | | | | | | | | | | | | | (724), (731), (748), (17773), (19341), (20141),
% 176.29/27.28 | | | | | | | | | | | | | | (20142) are inconsistent by sub-proof #70.
% 176.29/27.28 | | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | End of split
% 176.29/27.28 | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | End of split
% 176.29/27.28 | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | End of split
% 176.29/27.28 | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | Case 2:
% 176.29/27.28 | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | (20143) all_20_2 = e2
% 176.29/27.28 | | | | | | | | | | | (20144) op(e0, e2) = all_20_1 & $i(all_20_1) & ( ~
% 176.29/27.28 | | | | | | | | | | | (all_20_1 = e1) | ( ~ (all_20_0 = e3) & op(e1,
% 176.29/27.28 | | | | | | | | | | | e0) = all_20_0 & $i(all_20_0)))
% 176.29/27.28 | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | ALPHA: (20144) implies:
% 176.29/27.28 | | | | | | | | | | | (20145) op(e0, e2) = all_20_1
% 176.29/27.28 | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | COMBINE_EQS: (581), (20143) imply:
% 176.29/27.28 | | | | | | | | | | | (20146) all_46_2 = e2
% 176.29/27.28 | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | REDUCE: (695), (20143) imply:
% 176.29/27.28 | | | | | | | | | | | (20147) op(e2, e2) = all_65_75
% 176.29/27.28 | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | REDUCE: (697), (20143) imply:
% 176.29/27.28 | | | | | | | | | | | (20148) op(e2, e0) = all_65_78
% 176.29/27.28 | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | REDUCE: (713), (20143) imply:
% 176.29/27.28 | | | | | | | | | | | (20149) op(e3, e2) = all_65_15
% 176.29/27.28 | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | REDUCE: (730), (20143) imply:
% 176.29/27.28 | | | | | | | | | | | (20150) op(e2, e2) = all_65_31
% 176.29/27.28 | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | REDUCE: (747), (20143) imply:
% 176.29/27.28 | | | | | | | | | | | (20151) op(e1, e2) = all_65_47
% 176.29/27.28 | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | REDUCE: (764), (20143) imply:
% 176.29/27.28 | | | | | | | | | | | (20152) op(e0, e2) = all_65_78
% 176.29/27.28 | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | REDUCE: (76), (20143) imply:
% 176.29/27.28 | | | | | | | | | | | (20153) op(e0, e0) = e2
% 176.29/27.28 | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | BETA: splitting (172) gives:
% 176.29/27.28 | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | Case 1:
% 176.29/27.28 | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | (20154) ( ~ (all_60_0 = e2) & op(e3, e3) = all_60_0 &
% 176.29/27.28 | | | | | | | | | | | | $i(all_60_0)) | ( ~ (all_60_1 = e2) & op(e2, e2)
% 176.29/27.28 | | | | | | | | | | | | = all_60_1 & $i(all_60_1))
% 176.29/27.28 | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | BETA: splitting (20154) gives:
% 176.29/27.28 | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | Case 1:
% 176.29/27.28 | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | (20155) ~ (all_60_0 = e2) & op(e3, e3) = all_60_0 &
% 176.29/27.28 | | | | | | | | | | | | | $i(all_60_0)
% 176.29/27.28 | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | ALPHA: (20155) implies:
% 176.29/27.28 | | | | | | | | | | | | | (20156) ~ (all_60_0 = e2)
% 176.29/27.28 | | | | | | | | | | | | | (20157) op(e3, e3) = all_60_0
% 176.29/27.28 | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | REF_CLOSE: (50), (19833), (20156), (20157) are inconsistent
% 176.29/27.28 | | | | | | | | | | | | | by sub-proof #346.
% 176.29/27.28 | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | Case 2:
% 176.29/27.28 | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | (20158) ~ (all_60_1 = e2) & op(e2, e2) = all_60_1 &
% 176.29/27.28 | | | | | | | | | | | | | $i(all_60_1)
% 176.29/27.28 | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | ALPHA: (20158) implies:
% 176.29/27.28 | | | | | | | | | | | | | (20159) op(e2, e2) = all_60_1
% 176.29/27.28 | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | BETA: splitting (116) gives:
% 176.29/27.28 | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | Case 1:
% 176.29/27.28 | | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | | (20160) ~ (all_46_2 = e2)
% 176.29/27.28 | | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | | REDUCE: (20146), (20160) imply:
% 176.29/27.28 | | | | | | | | | | | | | | (20161) $false
% 176.29/27.28 | | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | | CLOSE: (20161) is inconsistent.
% 176.29/27.28 | | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | Case 2:
% 176.29/27.28 | | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | | (20162) op(e0, e2) = all_46_1 & $i(all_46_1) & ( ~
% 176.29/27.28 | | | | | | | | | | | | | | (all_46_1 = e3) | ( ~ (all_46_0 = e1) & op(e3,
% 176.29/27.28 | | | | | | | | | | | | | | e0) = all_46_0 & $i(all_46_0)))
% 176.29/27.28 | | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | | ALPHA: (20162) implies:
% 176.29/27.28 | | | | | | | | | | | | | | (20163) op(e0, e2) = all_46_1
% 176.29/27.28 | | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_7, all_20_1, e2,
% 176.29/27.28 | | | | | | | | | | | | | | e0, simplifying with (225), (20145) gives:
% 176.29/27.28 | | | | | | | | | | | | | | (20164) all_61_7 = all_20_1
% 176.29/27.28 | | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_7, all_65_78, e2,
% 176.29/27.28 | | | | | | | | | | | | | | e0, simplifying with (225), (20152) gives:
% 176.29/27.28 | | | | | | | | | | | | | | (20165) all_65_78 = all_61_7
% 176.29/27.28 | | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_46_1, all_65_78, e2,
% 176.29/27.28 | | | | | | | | | | | | | | e0, simplifying with (20152), (20163) gives:
% 176.29/27.28 | | | | | | | | | | | | | | (20166) all_65_78 = all_46_1
% 176.29/27.28 | | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_10_1, all_65_47, e2,
% 176.29/27.28 | | | | | | | | | | | | | | e1, simplifying with (19276), (20151) gives:
% 176.29/27.28 | | | | | | | | | | | | | | (20167) all_65_47 = all_10_1
% 176.29/27.28 | | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_13, all_65_78, e0,
% 176.29/27.28 | | | | | | | | | | | | | | e2, simplifying with (231), (20148) gives:
% 176.29/27.28 | | | | | | | | | | | | | | (20168) all_65_78 = all_61_13
% 176.29/27.28 | | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e3, all_65_75, e2, e2,
% 176.29/27.28 | | | | | | | | | | | | | | simplifying with (17713), (20147) gives:
% 176.29/27.28 | | | | | | | | | | | | | | (20169) all_65_75 = e3
% 176.29/27.28 | | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_75, all_65_31, e2,
% 176.29/27.28 | | | | | | | | | | | | | | e2, simplifying with (20147), (20150) gives:
% 176.29/27.28 | | | | | | | | | | | | | | (20170) all_65_31 = all_65_75
% 176.29/27.28 | | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_60_1, all_65_31, e2,
% 176.29/27.28 | | | | | | | | | | | | | | e2, simplifying with (20150), (20159) gives:
% 176.29/27.28 | | | | | | | | | | | | | | (20171) all_65_31 = all_60_1
% 176.29/27.28 | | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_6_1, all_65_15, e2,
% 176.29/27.28 | | | | | | | | | | | | | | e3, simplifying with (17771), (20149) gives:
% 176.29/27.28 | | | | | | | | | | | | | | (20172) all_65_15 = all_6_1
% 176.29/27.28 | | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | | COMBINE_EQS: (20170), (20171) imply:
% 176.29/27.28 | | | | | | | | | | | | | | (20173) all_65_75 = all_60_1
% 176.29/27.28 | | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | | SIMP: (20173) implies:
% 176.29/27.28 | | | | | | | | | | | | | | (20174) all_65_75 = all_60_1
% 176.29/27.28 | | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | | COMBINE_EQS: (20169), (20174) imply:
% 176.29/27.28 | | | | | | | | | | | | | | (20175) all_60_1 = e3
% 176.29/27.28 | | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | | COMBINE_EQS: (20165), (20168) imply:
% 176.29/27.28 | | | | | | | | | | | | | | (20176) all_61_7 = all_61_13
% 176.29/27.28 | | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | | SIMP: (20176) implies:
% 176.29/27.28 | | | | | | | | | | | | | | (20177) all_61_7 = all_61_13
% 176.29/27.28 | | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | | COMBINE_EQS: (20166), (20168) imply:
% 176.29/27.28 | | | | | | | | | | | | | | (20178) all_61_13 = all_46_1
% 176.29/27.28 | | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | | COMBINE_EQS: (20164), (20177) imply:
% 176.29/27.28 | | | | | | | | | | | | | | (20179) all_61_13 = all_20_1
% 176.29/27.28 | | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | | SIMP: (20179) implies:
% 176.29/27.28 | | | | | | | | | | | | | | (20180) all_61_13 = all_20_1
% 176.29/27.28 | | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | | COMBINE_EQS: (20178), (20180) imply:
% 176.29/27.28 | | | | | | | | | | | | | | (20181) all_46_1 = all_20_1
% 176.29/27.28 | | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | | COMBINE_EQS: (20171), (20175) imply:
% 176.29/27.28 | | | | | | | | | | | | | | (20182) all_65_31 = e3
% 176.29/27.28 | | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | | REDUCE: (177), (20180) imply:
% 176.29/27.28 | | | | | | | | | | | | | | (20183) ~ (all_61_14 = all_20_1)
% 176.29/27.28 | | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | | SIMP: (20183) implies:
% 176.29/27.28 | | | | | | | | | | | | | | (20184) ~ (all_61_14 = all_20_1)
% 176.29/27.28 | | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | | REDUCE: (17768), (20164) imply:
% 176.29/27.28 | | | | | | | | | | | | | | (20185) op(all_20_1, e2) = all_61_3
% 176.29/27.28 | | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | | REDUCE: (689), (20164) imply:
% 176.29/27.28 | | | | | | | | | | | | | | (20186) op(all_20_1, e0) = all_65_63
% 176.29/27.28 | | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | | REDUCE: (19325), (20164) imply:
% 176.29/27.28 | | | | | | | | | | | | | | (20187) op(all_61_11, e1) = all_20_1
% 176.29/27.28 | | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | | REDUCE: (663), (20180) imply:
% 176.29/27.28 | | | | | | | | | | | | | | (20188) op(all_20_1, e2) = all_65_29
% 176.29/27.28 | | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | | REDUCE: (665), (20180), (20182) imply:
% 176.29/27.28 | | | | | | | | | | | | | | (20189) op(all_20_1, e0) = e3
% 176.29/27.28 | | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | | REDUCE: (681), (20167) imply:
% 176.29/27.28 | | | | | | | | | | | | | | (20190) op(all_61_14, e0) = all_10_1
% 176.29/27.28 | | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | | REDUCE: (711), (20164) imply:
% 176.29/27.28 | | | | | | | | | | | | | | (20191) op(e3, all_20_1) = all_65_13
% 176.29/27.28 | | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | | REDUCE: (17791), (20180) imply:
% 176.29/27.28 | | | | | | | | | | | | | | (20192) op(e3, all_20_1) = all_65_19
% 176.29/27.28 | | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | | REDUCE: (728), (20164) imply:
% 176.29/27.28 | | | | | | | | | | | | | | (20193) op(e2, all_20_1) = all_65_29
% 176.29/27.28 | | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | | REDUCE: (17774), (20180) imply:
% 176.29/27.28 | | | | | | | | | | | | | | (20194) op(e2, all_20_1) = all_61_12
% 176.29/27.28 | | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | | REDUCE: (231), (20180) imply:
% 176.29/27.28 | | | | | | | | | | | | | | (20195) op(e2, e0) = all_20_1
% 176.29/27.28 | | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_12, all_65_29,
% 176.29/27.28 | | | | | | | | | | | | | | all_20_1, e2, simplifying with (20193), (20194)
% 176.29/27.28 | | | | | | | | | | | | | | gives:
% 176.29/27.28 | | | | | | | | | | | | | | (20196) all_65_29 = all_61_12
% 176.29/27.28 | | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_19, all_65_13,
% 176.29/27.28 | | | | | | | | | | | | | | all_20_1, e3, simplifying with (20191), (20192)
% 176.29/27.28 | | | | | | | | | | | | | | gives:
% 176.29/27.28 | | | | | | | | | | | | | | (20197) all_65_13 = all_65_19
% 176.29/27.28 | | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e3, all_65_63, e0,
% 176.29/27.28 | | | | | | | | | | | | | | all_20_1, simplifying with (20186), (20189) gives:
% 176.29/27.28 | | | | | | | | | | | | | | (20198) all_65_63 = e3
% 176.29/27.28 | | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_3, all_65_29, e2,
% 176.29/27.28 | | | | | | | | | | | | | | all_20_1, simplifying with (20185), (20188) gives:
% 176.29/27.28 | | | | | | | | | | | | | | (20199) all_65_29 = all_61_3
% 176.29/27.28 | | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | | COMBINE_EQS: (20196), (20199) imply:
% 176.29/27.28 | | | | | | | | | | | | | | (20200) all_61_3 = all_61_12
% 176.29/27.28 | | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | | REDUCE: (17788), (20200) imply:
% 176.29/27.28 | | | | | | | | | | | | | | (20201) op(all_61_12, e2) = all_65_57
% 176.29/27.28 | | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | | REDUCE: (647), (20197) imply:
% 176.29/27.28 | | | | | | | | | | | | | | (20202) op(all_61_12, e2) = all_65_19
% 176.29/27.28 | | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_57, all_65_19, e2,
% 176.29/27.28 | | | | | | | | | | | | | | all_61_12, simplifying with (20201), (20202)
% 176.29/27.28 | | | | | | | | | | | | | | gives:
% 176.29/27.28 | | | | | | | | | | | | | | (20203) all_65_19 = all_65_57
% 176.29/27.28 | | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | | REDUCE: (17762), (20203) imply:
% 176.29/27.28 | | | | | | | | | | | | | | (20204) op(all_6_1, e0) = all_65_57
% 176.29/27.28 | | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | | BETA: splitting (163) gives:
% 176.29/27.28 | | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | | Case 1:
% 176.29/27.28 | | | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | | | (20205) ~ (all_58_1 = e0)
% 176.29/27.28 | | | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | | | REDUCE: (481), (20205) imply:
% 176.29/27.28 | | | | | | | | | | | | | | | (20206) ~ (all_52_1 = e0)
% 176.29/27.28 | | | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | | | BETA: splitting (168) gives:
% 176.29/27.28 | | | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | | | Case 1:
% 176.29/27.28 | | | | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | | | | (20207) ~ (all_58_0 = e2)
% 176.29/27.28 | | | | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | | | | REDUCE: (484), (20207) imply:
% 176.29/27.28 | | | | | | | | | | | | | | | | (20208) ~ (all_52_0 = e2)
% 176.29/27.28 | | | | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | | | | REF_CLOSE: (9), (50), (150), (161), (164), (165), (229),
% 176.29/27.28 | | | | | | | | | | | | | | | | (232), (478), (481), (484), (536), (659), (724),
% 176.29/27.28 | | | | | | | | | | | | | | | | (731), (748), (17713), (17773), (18011), (19341),
% 176.29/27.28 | | | | | | | | | | | | | | | | (20206), (20208) are inconsistent by sub-proof
% 176.29/27.28 | | | | | | | | | | | | | | | | #66.
% 176.29/27.28 | | | | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | | | Case 2:
% 176.29/27.28 | | | | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | | | | (20209) all_58_1 = e3
% 176.29/27.28 | | | | | | | | | | | | | | | | (20210) all_58_0 = e2
% 176.29/27.28 | | | | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | | | | COMBINE_EQS: (484), (20210) imply:
% 176.29/27.28 | | | | | | | | | | | | | | | | (20211) all_52_0 = e2
% 176.29/27.28 | | | | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | | | | SIMP: (20211) implies:
% 176.29/27.28 | | | | | | | | | | | | | | | | (20212) all_52_0 = e2
% 176.29/27.28 | | | | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | | | | COMBINE_EQS: (481), (20209) imply:
% 176.29/27.28 | | | | | | | | | | | | | | | | (20213) all_52_1 = e3
% 176.29/27.28 | | | | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | | | | SIMP: (20213) implies:
% 176.29/27.28 | | | | | | | | | | | | | | | | (20214) all_52_1 = e3
% 176.29/27.28 | | | | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | | | | REDUCE: (629), (20212) imply:
% 176.29/27.28 | | | | | | | | | | | | | | | | (20215) ~ (all_52_2 = e2)
% 176.29/27.28 | | | | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | | | | SIMP: (20215) implies:
% 176.29/27.28 | | | | | | | | | | | | | | | | (20216) ~ (all_52_2 = e2)
% 176.29/27.28 | | | | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | | | | REDUCE: (631), (20214) imply:
% 176.29/27.28 | | | | | | | | | | | | | | | | (20217) ~ (all_52_2 = e3)
% 176.29/27.28 | | | | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | | | | SIMP: (20217) implies:
% 176.29/27.28 | | | | | | | | | | | | | | | | (20218) ~ (all_52_2 = e3)
% 176.29/27.28 | | | | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | | | | REDUCE: (714), (20212) imply:
% 176.29/27.28 | | | | | | | | | | | | | | | | (20219) op(e3, e2) = unit
% 176.29/27.28 | | | | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_6_1, unit, e2, e3,
% 176.29/27.28 | | | | | | | | | | | | | | | | simplifying with (17771), (20219) gives:
% 176.29/27.28 | | | | | | | | | | | | | | | | (20220) all_6_1 = unit
% 176.29/27.28 | | | | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | | | | COMBINE_EQS: (17739), (20220) imply:
% 176.29/27.28 | | | | | | | | | | | | | | | | (20221) all_63_1 = unit
% 176.29/27.28 | | | | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | | | | REDUCE: (19829), (20220) imply:
% 176.29/27.28 | | | | | | | | | | | | | | | | (20222) ~ (unit = e2)
% 176.29/27.28 | | | | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | | | | REDUCE: (19352), (20220) imply:
% 176.29/27.28 | | | | | | | | | | | | | | | | (20223) op(unit, e1) = all_65_36
% 176.29/27.28 | | | | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | | | | REDUCE: (20204), (20220) imply:
% 176.29/27.28 | | | | | | | | | | | | | | | | (20224) op(unit, e0) = all_65_57
% 176.29/27.28 | | | | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e0, all_65_57, e0, unit,
% 176.29/27.28 | | | | | | | | | | | | | | | | simplifying with (7), (20224) gives:
% 176.29/27.28 | | | | | | | | | | | | | | | | (20225) all_65_57 = e0
% 176.29/27.28 | | | | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e1, all_65_36, e1, unit,
% 176.29/27.28 | | | | | | | | | | | | | | | | simplifying with (8), (20223) gives:
% 176.29/27.28 | | | | | | | | | | | | | | | | (20226) all_65_36 = e1
% 176.29/27.28 | | | | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | | | | BETA: splitting (157) gives:
% 176.29/27.28 | | | | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | | | | Case 1:
% 176.29/27.28 | | | | | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | | | | | (20227) ~ (all_58_3 = e1)
% 176.29/27.28 | | | | | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | | | | | REDUCE: (475), (20227) imply:
% 176.29/27.28 | | | | | | | | | | | | | | | | | (20228) ~ (all_52_3 = e1)
% 176.29/27.28 | | | | | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | | | | | BETA: splitting (160) gives:
% 176.29/27.28 | | | | | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | | | | | Case 1:
% 176.29/27.28 | | | | | | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | | | | | | (20229) ~ (all_58_2 = e0)
% 176.29/27.28 | | | | | | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | | | | | | REDUCE: (478), (20229) imply:
% 176.29/27.28 | | | | | | | | | | | | | | | | | | (20230) ~ (all_52_2 = e0)
% 176.29/27.28 | | | | | | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | | | | | | BETA: splitting (149) gives:
% 176.29/27.28 | | | | | | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | | | | | | Case 1:
% 176.29/27.28 | | | | | | | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | | | | | | | (20231) all_56_2 = e3
% 176.29/27.28 | | | | | | | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (538), (20218), (20231) are inconsistent by
% 176.29/27.28 | | | | | | | | | | | | | | | | | | | sub-proof #482.
% 176.29/27.28 | | | | | | | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | | | | | | Case 2:
% 176.29/27.28 | | | | | | | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | | | | | | | (20232) all_56_2 = e2 | all_56_2 = e1 | all_56_2 = e0
% 176.29/27.28 | | | | | | | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | | | | | | | BETA: splitting (20232) gives:
% 176.29/27.28 | | | | | | | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | | | | | | | Case 1:
% 176.29/27.28 | | | | | | | | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | | | | | | | | (20233) all_56_2 = e2
% 176.29/27.28 | | | | | | | | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (538), (20216), (20233) are inconsistent by
% 176.29/27.28 | | | | | | | | | | | | | | | | | | | | sub-proof #481.
% 176.29/27.28 | | | | | | | | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | | | | | | | Case 2:
% 176.29/27.28 | | | | | | | | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | | | | | | | | (20234) all_56_2 = e1 | all_56_2 = e0
% 176.29/27.28 | | | | | | | | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | | | | | | | | BETA: splitting (20234) gives:
% 176.29/27.28 | | | | | | | | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.29/27.28 | | | | | | | | | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | | | | | | | | | (20235) all_56_2 = e1
% 176.29/27.28 | | | | | | | | | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (538), (20235) imply:
% 176.29/27.28 | | | | | | | | | | | | | | | | | | | | | (20236) all_52_2 = e1
% 176.29/27.28 | | | | | | | | | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | | | | | | | | | SIMP: (20236) implies:
% 176.29/27.28 | | | | | | | | | | | | | | | | | | | | | (20237) all_52_2 = e1
% 176.29/27.28 | | | | | | | | | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | | | | | | | | | REDUCE: (748), (20237) imply:
% 176.29/27.28 | | | | | | | | | | | | | | | | | | | | | (20238) op(e1, e1) = unit
% 176.29/27.28 | | | | | | | | | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e2, unit, e1, e1,
% 176.29/27.28 | | | | | | | | | | | | | | | | | | | | | simplifying with (19290), (20238) gives:
% 176.29/27.28 | | | | | | | | | | | | | | | | | | | | | (20239) unit = e2
% 176.29/27.28 | | | | | | | | | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | | | | | | | | | REDUCE: (20222), (20239) imply:
% 176.29/27.28 | | | | | | | | | | | | | | | | | | | | | (20240) $false
% 176.29/27.28 | | | | | | | | | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | | | | | | | | | CLOSE: (20240) is inconsistent.
% 176.29/27.28 | | | | | | | | | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.29/27.28 | | | | | | | | | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | | | | | | | | | (20241) all_56_2 = e0
% 176.29/27.28 | | | | | | | | | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (538), (20230), (20241) are inconsistent by
% 176.29/27.28 | | | | | | | | | | | | | | | | | | | | | sub-proof #480.
% 176.29/27.28 | | | | | | | | | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | | | | | | | | End of split
% 176.29/27.28 | | | | | | | | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | | | | | | | End of split
% 176.29/27.28 | | | | | | | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | | | | | | End of split
% 176.29/27.28 | | | | | | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | | | | | Case 2:
% 176.29/27.28 | | | | | | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | | | | | | (20242) all_58_3 = e1
% 176.29/27.28 | | | | | | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (475), (20242) imply:
% 176.29/27.28 | | | | | | | | | | | | | | | | | | (20243) all_52_3 = e1
% 176.29/27.28 | | | | | | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | | | | | | REDUCE: (20228), (20243) imply:
% 176.29/27.28 | | | | | | | | | | | | | | | | | | (20244) $false
% 176.29/27.28 | | | | | | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | | | | | | CLOSE: (20244) is inconsistent.
% 176.29/27.28 | | | | | | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | | | | | End of split
% 176.29/27.28 | | | | | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | | | | Case 2:
% 176.29/27.28 | | | | | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | | | | | (20245) all_58_3 = e1
% 176.29/27.28 | | | | | | | | | | | | | | | | | (20246) all_58_2 = e0
% 176.29/27.28 | | | | | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | | | | | COMBINE_EQS: (478), (20246) imply:
% 176.29/27.28 | | | | | | | | | | | | | | | | | (20247) all_52_2 = e0
% 176.29/27.28 | | | | | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | | | | | SIMP: (20247) implies:
% 176.29/27.28 | | | | | | | | | | | | | | | | | (20248) all_52_2 = e0
% 176.29/27.28 | | | | | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | | | | | COMBINE_EQS: (475), (20245) imply:
% 176.29/27.28 | | | | | | | | | | | | | | | | | (20249) all_52_3 = e1
% 176.29/27.28 | | | | | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | | | | | REDUCE: (748), (20248) imply:
% 176.29/27.28 | | | | | | | | | | | | | | | | | (20250) op(e1, e0) = unit
% 176.29/27.28 | | | | | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | | | | | REDUCE: (765), (20249) imply:
% 176.29/27.28 | | | | | | | | | | | | | | | | | (20251) op(e0, e1) = unit
% 176.29/27.28 | | | | | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_11, unit, e1, e0,
% 176.29/27.28 | | | | | | | | | | | | | | | | | simplifying with (224), (20251) gives:
% 176.29/27.28 | | | | | | | | | | | | | | | | | (20252) all_61_11 = unit
% 176.29/27.28 | | | | | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_14, unit, e0, e1,
% 176.29/27.28 | | | | | | | | | | | | | | | | | simplifying with (227), (20250) gives:
% 176.29/27.28 | | | | | | | | | | | | | | | | | (20253) all_61_14 = unit
% 176.29/27.28 | | | | | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | | | | | REDUCE: (20184), (20253) imply:
% 176.29/27.28 | | | | | | | | | | | | | | | | | (20254) ~ (all_20_1 = unit)
% 176.29/27.28 | | | | | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | | | | | SIMP: (20254) implies:
% 176.29/27.28 | | | | | | | | | | | | | | | | | (20255) ~ (all_20_1 = unit)
% 176.29/27.28 | | | | | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | | | | | REDUCE: (19318), (20253) imply:
% 176.29/27.28 | | | | | | | | | | | | | | | | | (20256) ~ (all_10_1 = unit)
% 176.29/27.28 | | | | | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | | | | | SIMP: (20256) implies:
% 176.29/27.28 | | | | | | | | | | | | | | | | | (20257) ~ (all_10_1 = unit)
% 176.29/27.28 | | | | | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | | | | | REDUCE: (20187), (20252) imply:
% 176.29/27.28 | | | | | | | | | | | | | | | | | (20258) op(unit, e1) = all_20_1
% 176.29/27.28 | | | | | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | | | | | REDUCE: (693), (20252) imply:
% 176.29/27.28 | | | | | | | | | | | | | | | | | (20259) op(unit, e0) = all_65_71
% 176.29/27.28 | | | | | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | | | | | REDUCE: (680), (20253) imply:
% 176.29/27.28 | | | | | | | | | | | | | | | | | (20260) op(unit, e1) = all_65_46
% 176.29/27.28 | | | | | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | | | | | REDUCE: (20190), (20253) imply:
% 176.29/27.28 | | | | | | | | | | | | | | | | | (20261) op(unit, e0) = all_10_1
% 176.29/27.28 | | | | | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e0, all_65_71, e0, unit,
% 176.29/27.28 | | | | | | | | | | | | | | | | | simplifying with (7), (20259) gives:
% 176.29/27.28 | | | | | | | | | | | | | | | | | (20262) all_65_71 = e0
% 176.29/27.28 | | | | | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_10_1, all_65_71, e0,
% 176.29/27.28 | | | | | | | | | | | | | | | | | unit, simplifying with (20259), (20261) gives:
% 176.29/27.28 | | | | | | | | | | | | | | | | | (20263) all_65_71 = all_10_1
% 176.29/27.28 | | | | | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e1, all_65_46, e1, unit,
% 176.29/27.28 | | | | | | | | | | | | | | | | | simplifying with (8), (20260) gives:
% 176.29/27.28 | | | | | | | | | | | | | | | | | (20264) all_65_46 = e1
% 176.29/27.28 | | | | | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_20_1, all_65_46, e1,
% 176.29/27.28 | | | | | | | | | | | | | | | | | unit, simplifying with (20258), (20260) gives:
% 176.29/27.28 | | | | | | | | | | | | | | | | | (20265) all_65_46 = all_20_1
% 176.29/27.28 | | | | | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | | | | | COMBINE_EQS: (20264), (20265) imply:
% 176.29/27.28 | | | | | | | | | | | | | | | | | (20266) all_20_1 = e1
% 176.29/27.28 | | | | | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | | | | | COMBINE_EQS: (20262), (20263) imply:
% 176.29/27.28 | | | | | | | | | | | | | | | | | (20267) all_10_1 = e0
% 176.29/27.28 | | | | | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | | | | | REDUCE: (20255), (20266) imply:
% 176.29/27.28 | | | | | | | | | | | | | | | | | (20268) ~ (unit = e1)
% 176.29/27.28 | | | | | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | | | | | SIMP: (20268) implies:
% 176.29/27.28 | | | | | | | | | | | | | | | | | (20269) ~ (unit = e1)
% 176.29/27.28 | | | | | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | | | | | REDUCE: (20257), (20267) imply:
% 176.29/27.28 | | | | | | | | | | | | | | | | | (20270) ~ (unit = e0)
% 176.29/27.28 | | | | | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | | | | | SIMP: (20270) implies:
% 176.29/27.28 | | | | | | | | | | | | | | | | | (20271) ~ (unit = e0)
% 176.29/27.28 | | | | | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | | | | | REF_CLOSE: (270), (18011), (20221), (20222), (20269), (20271)
% 176.29/27.28 | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #230.
% 176.29/27.28 | | | | | | | | | | | | | | | | |
% 176.29/27.28 | | | | | | | | | | | | | | | | End of split
% 176.29/27.28 | | | | | | | | | | | | | | | |
% 176.29/27.29 | | | | | | | | | | | | | | | End of split
% 176.29/27.29 | | | | | | | | | | | | | | |
% 176.29/27.29 | | | | | | | | | | | | | | Case 2:
% 176.29/27.29 | | | | | | | | | | | | | | |
% 176.29/27.29 | | | | | | | | | | | | | | | (20272) all_58_1 = e0
% 176.29/27.29 | | | | | | | | | | | | | | |
% 176.29/27.29 | | | | | | | | | | | | | | | REF_CLOSE: (7), (21), (50), (481), (731), (20189), (20195),
% 176.29/27.29 | | | | | | | | | | | | | | | (20272) are inconsistent by sub-proof #74.
% 176.29/27.29 | | | | | | | | | | | | | | |
% 176.29/27.29 | | | | | | | | | | | | | | End of split
% 176.29/27.29 | | | | | | | | | | | | | |
% 176.29/27.29 | | | | | | | | | | | | | End of split
% 176.29/27.29 | | | | | | | | | | | | |
% 176.29/27.29 | | | | | | | | | | | | End of split
% 176.29/27.29 | | | | | | | | | | | |
% 176.29/27.29 | | | | | | | | | | | Case 2:
% 176.29/27.29 | | | | | | | | | | | |
% 176.29/27.29 | | | | | | | | | | | | (20273) ( ~ (all_60_2 = e2) & op(e1, e1) = all_60_2 &
% 176.29/27.29 | | | | | | | | | | | | $i(all_60_2)) | ( ~ (all_60_3 = e2) & op(e0, e0)
% 176.29/27.29 | | | | | | | | | | | | = all_60_3 & $i(all_60_3))
% 176.29/27.29 | | | | | | | | | | | |
% 176.29/27.29 | | | | | | | | | | | | REF_CLOSE: (50), (19290), (20153), (20273) are inconsistent
% 176.29/27.29 | | | | | | | | | | | | by sub-proof #246.
% 176.29/27.29 | | | | | | | | | | | |
% 176.29/27.29 | | | | | | | | | | | End of split
% 176.29/27.29 | | | | | | | | | | |
% 176.29/27.29 | | | | | | | | | | End of split
% 176.29/27.29 | | | | | | | | | |
% 176.29/27.29 | | | | | | | | | End of split
% 176.29/27.29 | | | | | | | | |
% 176.29/27.29 | | | | | | | | End of split
% 176.29/27.29 | | | | | | | |
% 176.29/27.29 | | | | | | | End of split
% 176.29/27.29 | | | | | | |
% 176.29/27.29 | | | | | | End of split
% 176.29/27.29 | | | | | |
% 176.29/27.29 | | | | | End of split
% 176.29/27.29 | | | | |
% 176.29/27.29 | | | | Case 2:
% 176.29/27.29 | | | | |
% 176.29/27.29 | | | | | (20274) all_8_2 = e0
% 176.29/27.29 | | | | | (20275) op(e1, e0) = all_8_1 & $i(all_8_1) & ( ~ (all_8_1 = e3) | (
% 176.29/27.29 | | | | | ~ (all_8_0 = e2) & op(e3, e1) = all_8_0 & $i(all_8_0)))
% 176.29/27.29 | | | | |
% 176.29/27.29 | | | | | ALPHA: (20275) implies:
% 176.29/27.29 | | | | | (20276) op(e1, e0) = all_8_1
% 176.29/27.29 | | | | |
% 176.29/27.29 | | | | | COMBINE_EQS: (576), (20274) imply:
% 176.29/27.29 | | | | | (20277) all_4_2 = e0
% 176.29/27.29 | | | | |
% 176.29/27.29 | | | | | COMBINE_EQS: (577), (20277) imply:
% 176.29/27.29 | | | | | (20278) all_24_2 = e0
% 176.29/27.29 | | | | |
% 176.29/27.29 | | | | | REDUCE: (605), (20277) imply:
% 176.29/27.29 | | | | | (20279) ~ (all_61_2 = e0)
% 176.29/27.29 | | | | |
% 176.29/27.29 | | | | | REDUCE: (616), (20277) imply:
% 176.29/27.29 | | | | | (20280) ~ (all_61_6 = e0)
% 176.29/27.29 | | | | |
% 176.29/27.29 | | | | | REDUCE: (618), (20277) imply:
% 176.29/27.29 | | | | | (20281) ~ (all_61_8 = e0)
% 176.29/27.29 | | | | |
% 176.29/27.29 | | | | | REDUCE: (619), (20277) imply:
% 176.29/27.29 | | | | | (20282) ~ (all_61_9 = e0)
% 176.29/27.29 | | | | |
% 176.29/27.29 | | | | | REDUCE: (623), (20277) imply:
% 176.29/27.29 | | | | | (20283) ~ (all_61_14 = e0)
% 176.29/27.29 | | | | |
% 176.29/27.29 | | | | | REDUCE: (766), (20277) imply:
% 176.29/27.29 | | | | | (20284) ~ (e3 = e0)
% 176.29/27.29 | | | | |
% 176.29/27.29 | | | | | REDUCE: (674), (20277) imply:
% 176.29/27.29 | | | | | (20285) op(e0, e3) = all_65_40
% 176.29/27.29 | | | | |
% 176.29/27.29 | | | | | REDUCE: (675), (20277) imply:
% 176.29/27.29 | | | | | (20286) op(e0, e2) = all_65_41
% 176.29/27.29 | | | | |
% 176.29/27.29 | | | | | REDUCE: (676), (20277) imply:
% 176.29/27.29 | | | | | (20287) op(e0, e1) = all_65_42
% 176.29/27.29 | | | | |
% 176.29/27.29 | | | | | REDUCE: (677), (20277) imply:
% 176.29/27.29 | | | | | (20288) op(e0, e0) = all_65_43
% 176.29/27.29 | | | | |
% 176.29/27.29 | | | | | REDUCE: (708), (20277) imply:
% 176.29/27.29 | | | | | (20289) op(e3, e0) = all_65_10
% 176.29/27.29 | | | | |
% 176.29/27.29 | | | | | REDUCE: (725), (20277) imply:
% 176.29/27.29 | | | | | (20290) op(e2, e0) = all_65_26
% 176.29/27.29 | | | | |
% 176.29/27.29 | | | | | REDUCE: (742), (20277) imply:
% 176.29/27.29 | | | | | (20291) op(e1, e0) = all_65_42
% 176.29/27.29 | | | | |
% 176.29/27.29 | | | | | REDUCE: (52), (20277) imply:
% 176.29/27.29 | | | | | (20292) op(e1, e1) = e0
% 176.29/27.29 | | | | |
% 176.29/27.29 | | | | | REDUCE: (759), (20277) imply:
% 176.29/27.29 | | | | | (20293) op(e0, e0) = all_65_69
% 176.29/27.29 | | | | |
% 176.29/27.29 | | | | | BETA: splitting (83) gives:
% 176.29/27.29 | | | | |
% 176.29/27.29 | | | | | Case 1:
% 176.29/27.29 | | | | | |
% 176.29/27.29 | | | | | | (20294) ~ (all_24_2 = e0)
% 176.29/27.29 | | | | | |
% 176.29/27.29 | | | | | | REDUCE: (20278), (20294) imply:
% 176.29/27.29 | | | | | | (20295) $false
% 176.29/27.29 | | | | | |
% 176.29/27.29 | | | | | | CLOSE: (20295) is inconsistent.
% 176.29/27.29 | | | | | |
% 176.29/27.29 | | | | | Case 2:
% 176.29/27.29 | | | | | |
% 176.29/27.29 | | | | | | (20296) op(e1, e0) = all_24_1 & $i(all_24_1) & ( ~ (all_24_1 =
% 176.29/27.29 | | | | | | e2) | ( ~ (all_24_0 = e3) & op(e2, e1) = all_24_0 &
% 176.29/27.29 | | | | | | $i(all_24_0)))
% 176.29/27.29 | | | | | |
% 176.29/27.29 | | | | | | ALPHA: (20296) implies:
% 176.29/27.29 | | | | | | (20297) op(e1, e0) = all_24_1
% 176.29/27.29 | | | | | | (20298) ~ (all_24_1 = e2) | ( ~ (all_24_0 = e3) & op(e2, e1) =
% 176.29/27.29 | | | | | | all_24_0 & $i(all_24_0))
% 176.29/27.29 | | | | | |
% 176.29/27.29 | | | | | | GROUND_INST: instantiating (50) with all_20_2, all_65_43, e0, e0,
% 176.29/27.29 | | | | | | simplifying with (76), (20288) gives:
% 176.29/27.29 | | | | | | (20299) all_65_43 = all_20_2
% 176.29/27.29 | | | | | |
% 176.29/27.29 | | | | | | GROUND_INST: instantiating (50) with all_65_69, all_65_43, e0, e0,
% 176.29/27.29 | | | | | | simplifying with (20288), (20293) gives:
% 176.29/27.29 | | | | | | (20300) all_65_43 = all_65_69
% 176.29/27.29 | | | | | |
% 176.29/27.29 | | | | | | GROUND_INST: instantiating (50) with all_61_11, all_65_42, e1, e0,
% 176.29/27.29 | | | | | | simplifying with (224), (20287) gives:
% 176.29/27.29 | | | | | | (20301) all_65_42 = all_61_11
% 176.29/27.29 | | | | | |
% 176.29/27.29 | | | | | | GROUND_INST: instantiating (50) with all_61_7, all_65_41, e2, e0,
% 176.29/27.29 | | | | | | simplifying with (225), (20286) gives:
% 176.29/27.29 | | | | | | (20302) all_65_41 = all_61_7
% 176.29/27.29 | | | | | |
% 176.29/27.29 | | | | | | GROUND_INST: instantiating (50) with all_61_3, all_65_40, e3, e0,
% 176.29/27.29 | | | | | | simplifying with (226), (20285) gives:
% 176.29/27.29 | | | | | | (20303) all_65_40 = all_61_3
% 176.29/27.29 | | | | | |
% 176.29/27.29 | | | | | | GROUND_INST: instantiating (50) with all_61_14, all_65_42, e0, e1,
% 176.29/27.29 | | | | | | simplifying with (227), (20291) gives:
% 176.29/27.29 | | | | | | (20304) all_65_42 = all_61_14
% 176.29/27.29 | | | | | |
% 176.29/27.29 | | | | | | GROUND_INST: instantiating (50) with all_24_1, all_65_42, e0, e1,
% 176.29/27.29 | | | | | | simplifying with (20291), (20297) gives:
% 176.29/27.29 | | | | | | (20305) all_65_42 = all_24_1
% 176.29/27.29 | | | | | |
% 176.29/27.29 | | | | | | GROUND_INST: instantiating (50) with all_8_1, all_65_42, e0, e1,
% 176.29/27.29 | | | | | | simplifying with (20276), (20291) gives:
% 176.29/27.29 | | | | | | (20306) all_65_42 = all_8_1
% 176.29/27.29 | | | | | |
% 176.29/27.29 | | | | | | GROUND_INST: instantiating (50) with all_61_13, all_65_26, e0, e2,
% 176.29/27.29 | | | | | | simplifying with (231), (20290) gives:
% 176.29/27.29 | | | | | | (20307) all_65_26 = all_61_13
% 176.29/27.29 | | | | | |
% 176.29/27.29 | | | | | | GROUND_INST: instantiating (50) with all_61_12, all_65_10, e0, e3,
% 176.29/27.29 | | | | | | simplifying with (235), (20289) gives:
% 176.29/27.29 | | | | | | (20308) all_65_10 = all_61_12
% 176.29/27.29 | | | | | |
% 176.29/27.29 | | | | | | COMBINE_EQS: (20304), (20306) imply:
% 176.29/27.29 | | | | | | (20309) all_61_14 = all_8_1
% 176.29/27.29 | | | | | |
% 176.29/27.29 | | | | | | COMBINE_EQS: (20301), (20304) imply:
% 176.29/27.29 | | | | | | (20310) all_61_11 = all_61_14
% 176.29/27.29 | | | | | |
% 176.29/27.29 | | | | | | SIMP: (20310) implies:
% 176.29/27.29 | | | | | | (20311) all_61_11 = all_61_14
% 176.29/27.29 | | | | | |
% 176.29/27.29 | | | | | | COMBINE_EQS: (20304), (20305) imply:
% 176.29/27.29 | | | | | | (20312) all_61_14 = all_24_1
% 176.29/27.29 | | | | | |
% 176.29/27.29 | | | | | | COMBINE_EQS: (20299), (20300) imply:
% 176.29/27.29 | | | | | | (20313) all_65_69 = all_20_2
% 176.29/27.29 | | | | | |
% 176.29/27.29 | | | | | | SIMP: (20313) implies:
% 176.29/27.29 | | | | | | (20314) all_65_69 = all_20_2
% 176.29/27.29 | | | | | |
% 176.29/27.29 | | | | | | COMBINE_EQS: (20309), (20312) imply:
% 176.29/27.29 | | | | | | (20315) all_24_1 = all_8_1
% 176.29/27.29 | | | | | |
% 176.29/27.29 | | | | | | COMBINE_EQS: (20309), (20311) imply:
% 176.29/27.29 | | | | | | (20316) all_61_11 = all_8_1
% 176.29/27.29 | | | | | |
% 176.29/27.29 | | | | | | COMBINE_EQS: (510), (20316) imply:
% 176.29/27.29 | | | | | | (20317) all_63_14 = all_8_1
% 176.29/27.29 | | | | | |
% 176.29/27.29 | | | | | | REDUCE: (208), (20309) imply:
% 176.29/27.29 | | | | | | (20318) ~ (all_61_2 = all_8_1)
% 176.29/27.29 | | | | | |
% 176.29/27.29 | | | | | | REDUCE: (206), (20316) imply:
% 176.29/27.29 | | | | | | (20319) ~ (all_61_3 = all_8_1)
% 176.29/27.29 | | | | | |
% 176.29/27.29 | | | | | | REDUCE: (193), (20309) imply:
% 176.29/27.29 | | | | | | (20320) ~ (all_61_6 = all_8_1)
% 176.29/27.29 | | | | | |
% 176.29/27.29 | | | | | | REDUCE: (192), (20316) imply:
% 176.29/27.29 | | | | | | (20321) ~ (all_61_7 = all_8_1)
% 176.29/27.29 | | | | | |
% 176.29/27.29 | | | | | | REDUCE: (188), (20316) imply:
% 176.29/27.29 | | | | | | (20322) ~ (all_61_8 = all_8_1)
% 176.29/27.29 | | | | | |
% 176.29/27.29 | | | | | | REDUCE: (185), (20316) imply:
% 176.29/27.29 | | | | | | (20323) ~ (all_61_9 = all_8_1)
% 176.29/27.29 | | | | | |
% 176.29/27.29 | | | | | | REDUCE: (179), (20309) imply:
% 176.29/27.29 | | | | | | (20324) ~ (all_61_12 = all_8_1)
% 176.29/27.29 | | | | | |
% 176.29/27.29 | | | | | | REDUCE: (177), (20309) imply:
% 176.29/27.29 | | | | | | (20325) ~ (all_61_13 = all_8_1)
% 176.29/27.29 | | | | | |
% 176.29/27.29 | | | | | | REDUCE: (627), (20309) imply:
% 176.29/27.29 | | | | | | (20326) ~ (all_20_2 = all_8_1)
% 176.29/27.29 | | | | | |
% 176.29/27.29 | | | | | | SIMP: (20326) implies:
% 176.29/27.29 | | | | | | (20327) ~ (all_20_2 = all_8_1)
% 176.29/27.29 | | | | | |
% 176.29/27.29 | | | | | | REDUCE: (20283), (20309) imply:
% 176.29/27.29 | | | | | | (20328) ~ (all_8_1 = e0)
% 176.29/27.29 | | | | | |
% 176.29/27.29 | | | | | | REDUCE: (644), (20308) imply:
% 176.29/27.29 | | | | | | (20329) op(all_61_8, e1) = all_61_12
% 176.29/27.29 | | | | | |
% 176.29/27.29 | | | | | | REDUCE: (660), (20307) imply:
% 176.29/27.29 | | | | | | (20330) op(all_61_9, e1) = all_61_13
% 176.29/27.29 | | | | | |
% 176.29/27.29 | | | | | | REDUCE: (692), (20314), (20316) imply:
% 176.29/27.29 | | | | | | (20331) op(all_8_1, e1) = all_20_2
% 176.29/27.29 | | | | | |
% 176.29/27.29 | | | | | | REDUCE: (693), (20316) imply:
% 176.29/27.29 | | | | | | (20332) op(all_8_1, e0) = all_65_71
% 176.29/27.29 | | | | | |
% 176.29/27.29 | | | | | | REDUCE: (680), (20309) imply:
% 176.29/27.29 | | | | | | (20333) op(all_8_1, e1) = all_65_46
% 176.29/27.29 | | | | | |
% 176.29/27.29 | | | | | | REDUCE: (681), (20309) imply:
% 176.29/27.29 | | | | | | (20334) op(all_8_1, e0) = all_65_47
% 176.29/27.29 | | | | | |
% 176.29/27.29 | | | | | | REDUCE: (740), (20303) imply:
% 176.29/27.29 | | | | | | (20335) op(e1, all_61_2) = all_61_3
% 176.29/27.29 | | | | | |
% 176.29/27.29 | | | | | | REDUCE: (741), (20302) imply:
% 176.29/27.29 | | | | | | (20336) op(e1, all_61_6) = all_61_7
% 176.29/27.29 | | | | | |
% 176.29/27.29 | | | | | | REDUCE: (763), (20316) imply:
% 176.29/27.29 | | | | | | (20337) op(e0, all_8_1) = all_65_77
% 176.29/27.29 | | | | | |
% 176.29/27.29 | | | | | | REDUCE: (760), (20309) imply:
% 176.29/27.29 | | | | | | (20338) op(e0, all_8_1) = all_65_71
% 176.29/27.29 | | | | | |
% 176.29/27.29 | | | | | | REDUCE: (224), (20316) imply:
% 176.29/27.29 | | | | | | (20339) op(e0, e1) = all_8_1
% 176.29/27.29 | | | | | |
% 176.29/27.29 | | | | | | GROUND_INST: instantiating (50) with all_65_77, all_65_71, all_8_1,
% 176.29/27.29 | | | | | | e0, simplifying with (20337), (20338) gives:
% 176.29/27.29 | | | | | | (20340) all_65_71 = all_65_77
% 176.29/27.29 | | | | | |
% 176.29/27.29 | | | | | | GROUND_INST: instantiating (50) with all_65_71, all_65_47, e0,
% 176.29/27.29 | | | | | | all_8_1, simplifying with (20332), (20334) gives:
% 176.29/27.29 | | | | | | (20341) all_65_47 = all_65_71
% 176.29/27.29 | | | | | |
% 176.29/27.29 | | | | | | GROUND_INST: instantiating (50) with all_20_2, all_65_46, e1,
% 176.29/27.29 | | | | | | all_8_1, simplifying with (20331), (20333) gives:
% 176.29/27.29 | | | | | | (20342) all_65_46 = all_20_2
% 176.29/27.29 | | | | | |
% 176.29/27.29 | | | | | | COMBINE_EQS: (20340), (20341) imply:
% 176.29/27.29 | | | | | | (20343) all_65_47 = all_65_77
% 176.29/27.29 | | | | | |
% 176.29/27.29 | | | | | | REDUCE: (747), (20343) imply:
% 176.29/27.29 | | | | | | (20344) op(e1, all_20_2) = all_65_77
% 176.29/27.29 | | | | | |
% 176.29/27.29 | | | | | | BETA: splitting (11) gives:
% 176.29/27.29 | | | | | |
% 176.29/27.29 | | | | | | Case 1:
% 176.29/27.29 | | | | | | |
% 176.29/27.29 | | | | | | | (20345) unit = e3
% 176.29/27.29 | | | | | | |
% 176.29/27.29 | | | | | | | REDUCE: (9), (20345) imply:
% 176.29/27.29 | | | | | | | (20346) op(e3, e2) = e2
% 176.29/27.29 | | | | | | |
% 176.29/27.29 | | | | | | | REDUCE: (8), (20345) imply:
% 176.29/27.29 | | | | | | | (20347) op(e3, e1) = e1
% 176.29/27.29 | | | | | | |
% 176.29/27.29 | | | | | | | REDUCE: (7), (20345) imply:
% 176.29/27.29 | | | | | | | (20348) op(e3, e0) = e0
% 176.29/27.29 | | | | | | |
% 176.29/27.29 | | | | | | | REDUCE: (6), (20345) imply:
% 176.29/27.29 | | | | | | | (20349) op(e3, e3) = e3
% 176.29/27.29 | | | | | | |
% 176.29/27.29 | | | | | | | REDUCE: (5), (20345) imply:
% 176.29/27.29 | | | | | | | (20350) op(e2, e3) = e2
% 176.29/27.29 | | | | | | |
% 176.29/27.29 | | | | | | | REF_CLOSE: (50), (67), (76), (80), (180), (184), (190), (213),
% 176.29/27.29 | | | | | | | (234), (235), (236), (237), (256), (257), (264), (265),
% 176.29/27.29 | | | | | | | (266), (422), (449), (497), (498), (587), (607), (613),
% 176.29/27.29 | | | | | | | (615), (625), (626), (649), (657), (694), (698), (713),
% 176.29/27.29 | | | | | | | (722), (752), (754), (20282), (20298), (20315),
% 176.29/27.29 | | | | | | | (20317), (20322), (20323), (20324), (20325), (20327),
% 176.29/27.29 | | | | | | | (20346), (20347), (20348), (20349), (20350) are
% 176.29/27.29 | | | | | | | inconsistent by sub-proof #204.
% 176.29/27.29 | | | | | | |
% 176.29/27.29 | | | | | | Case 2:
% 176.29/27.29 | | | | | | |
% 176.29/27.29 | | | | | | | (20351) ~ (unit = e3)
% 176.29/27.29 | | | | | | | (20352) unit = e2 | unit = e1 | unit = e0
% 176.29/27.29 | | | | | | |
% 176.29/27.29 | | | | | | | BETA: splitting (68) gives:
% 176.29/27.29 | | | | | | |
% 176.29/27.29 | | | | | | | Case 1:
% 176.29/27.29 | | | | | | | |
% 176.29/27.29 | | | | | | | | (20353) ~ (all_14_2 = e2)
% 176.29/27.29 | | | | | | | |
% 176.29/27.29 | | | | | | | | BETA: splitting (77) gives:
% 176.29/27.29 | | | | | | | |
% 176.29/27.29 | | | | | | | | Case 1:
% 176.29/27.29 | | | | | | | | |
% 176.29/27.29 | | | | | | | | | (20354) ~ (all_20_2 = e2)
% 176.29/27.29 | | | | | | | | |
% 176.29/27.29 | | | | | | | | | BETA: splitting (89) gives:
% 176.29/27.29 | | | | | | | | |
% 176.29/27.29 | | | | | | | | | Case 1:
% 176.29/27.29 | | | | | | | | | |
% 176.29/27.29 | | | | | | | | | | (20355) ~ (all_28_2 = e3)
% 176.29/27.29 | | | | | | | | | |
% 176.29/27.29 | | | | | | | | | | REDUCE: (563), (20355) imply:
% 176.29/27.29 | | | | | | | | | | (20356) ~ (all_20_2 = e3)
% 176.29/27.29 | | | | | | | | | |
% 176.29/27.29 | | | | | | | | | | BETA: splitting (101) gives:
% 176.29/27.29 | | | | | | | | | |
% 176.29/27.29 | | | | | | | | | | Case 1:
% 176.29/27.29 | | | | | | | | | | |
% 176.29/27.29 | | | | | | | | | | | (20357) ~ (all_36_2 = e0)
% 176.29/27.29 | | | | | | | | | | |
% 176.29/27.29 | | | | | | | | | | | REDUCE: (557), (20357) imply:
% 176.29/27.29 | | | | | | | | | | | (20358) ~ (all_14_2 = e0)
% 176.29/27.29 | | | | | | | | | | |
% 176.29/27.29 | | | | | | | | | | | BETA: splitting (107) gives:
% 176.29/27.29 | | | | | | | | | | |
% 176.29/27.29 | | | | | | | | | | | Case 1:
% 176.29/27.29 | | | | | | | | | | | |
% 176.29/27.29 | | | | | | | | | | | | (20359) ~ (all_40_2 = e1)
% 176.29/27.29 | | | | | | | | | | | |
% 176.29/27.29 | | | | | | | | | | | | REDUCE: (553), (20359) imply:
% 176.29/27.29 | | | | | | | | | | | | (20360) ~ (all_14_2 = e1)
% 176.29/27.29 | | | | | | | | | | | |
% 176.29/27.29 | | | | | | | | | | | | REF_CLOSE: (10), (50), (67), (151), (159), (162), (165),
% 176.29/27.29 | | | | | | | | | | | | (166), (167), (168), (226), (230), (234), (235),
% 176.29/27.29 | | | | | | | | | | | | (236), (237), (271), (475), (478), (481), (484),
% 176.29/27.29 | | | | | | | | | | | | (534), (588), (599), (601), (603), (635), (636),
% 176.29/27.29 | | | | | | | | | | | | (637), (638), (642), (646), (650), (666), (682),
% 176.29/27.29 | | | | | | | | | | | | (698), (714), (715), (731), (732), (748), (749),
% 176.29/27.29 | | | | | | | | | | | | (765), (20351), (20353), (20358), (20360) are
% 176.29/27.29 | | | | | | | | | | | | inconsistent by sub-proof #502.
% 176.29/27.29 | | | | | | | | | | | |
% 176.29/27.29 | | | | | | | | | | | Case 2:
% 176.29/27.29 | | | | | | | | | | | |
% 176.29/27.29 | | | | | | | | | | | | (20361) all_40_2 = e1
% 176.29/27.29 | | | | | | | | | | | | (20362) op(e3, e1) = all_40_1 & $i(all_40_1) & ( ~
% 176.29/27.29 | | | | | | | | | | | | (all_40_1 = e0) | ( ~ (all_40_0 = e2) & op(e0,
% 176.29/27.29 | | | | | | | | | | | | e3) = all_40_0 & $i(all_40_0)))
% 176.29/27.29 | | | | | | | | | | | |
% 176.29/27.29 | | | | | | | | | | | | ALPHA: (20362) implies:
% 176.29/27.29 | | | | | | | | | | | | (20363) op(e3, e1) = all_40_1
% 176.29/27.29 | | | | | | | | | | | |
% 176.29/27.29 | | | | | | | | | | | | COMBINE_EQS: (553), (20361) imply:
% 176.29/27.29 | | | | | | | | | | | | (20364) all_14_2 = e1
% 176.29/27.29 | | | | | | | | | | | |
% 176.29/27.29 | | | | | | | | | | | | COMBINE_EQS: (466), (20364) imply:
% 176.29/27.29 | | | | | | | | | | | | (20365) all_48_2 = e1
% 176.29/27.29 | | | | | | | | | | | |
% 176.29/27.29 | | | | | | | | | | | | REDUCE: (20353), (20364) imply:
% 176.29/27.29 | | | | | | | | | | | | (20366) ~ (e2 = e1)
% 176.29/27.29 | | | | | | | | | | | |
% 176.29/27.29 | | | | | | | | | | | | REDUCE: (634), (20364) imply:
% 176.29/27.29 | | | | | | | | | | | | (20367) op(e1, e3) = all_65_0
% 176.29/27.29 | | | | | | | | | | | |
% 176.29/27.29 | | | | | | | | | | | | REDUCE: (17789), (20364) imply:
% 176.29/27.29 | | | | | | | | | | | | (20368) op(e1, e2) = all_65_16
% 176.29/27.29 | | | | | | | | | | | |
% 176.29/27.29 | | | | | | | | | | | | REDUCE: (636), (20364) imply:
% 176.29/27.29 | | | | | | | | | | | | (20369) op(e1, e1) = all_65_2
% 176.29/27.29 | | | | | | | | | | | |
% 176.29/27.29 | | | | | | | | | | | | REDUCE: (17764), (20364) imply:
% 176.29/27.29 | | | | | | | | | | | | (20370) op(all_6_1, e2) = e1
% 176.29/27.29 | | | | | | | | | | | |
% 176.29/27.29 | | | | | | | | | | | | REDUCE: (698), (20364) imply:
% 176.29/27.29 | | | | | | | | | | | | (20371) op(e3, e1) = all_65_0
% 176.29/27.29 | | | | | | | | | | | |
% 176.29/27.29 | | | | | | | | | | | | REDUCE: (715), (20364) imply:
% 176.29/27.29 | | | | | | | | | | | | (20372) op(e2, e1) = all_65_16
% 176.29/27.29 | | | | | | | | | | | |
% 176.29/27.29 | | | | | | | | | | | | REDUCE: (732), (20364) imply:
% 176.29/27.29 | | | | | | | | | | | | (20373) op(e1, e1) = all_65_32
% 176.29/27.29 | | | | | | | | | | | |
% 176.29/27.29 | | | | | | | | | | | | BETA: splitting (119) gives:
% 176.29/27.29 | | | | | | | | | | | |
% 176.29/27.29 | | | | | | | | | | | | Case 1:
% 176.29/27.29 | | | | | | | | | | | | |
% 176.29/27.29 | | | | | | | | | | | | | (20374) ~ (all_48_2 = e1)
% 176.29/27.29 | | | | | | | | | | | | |
% 176.29/27.29 | | | | | | | | | | | | | REDUCE: (20365), (20374) imply:
% 176.29/27.29 | | | | | | | | | | | | | (20375) $false
% 176.29/27.29 | | | | | | | | | | | | |
% 176.29/27.29 | | | | | | | | | | | | | CLOSE: (20375) is inconsistent.
% 176.29/27.29 | | | | | | | | | | | | |
% 176.29/27.29 | | | | | | | | | | | | Case 2:
% 176.29/27.29 | | | | | | | | | | | | |
% 176.29/27.29 | | | | | | | | | | | | | (20376) op(e3, e1) = all_48_1 & $i(all_48_1) & ( ~
% 176.29/27.29 | | | | | | | | | | | | | (all_48_1 = e2) | ( ~ (all_48_0 = e0) & op(e2,
% 176.29/27.29 | | | | | | | | | | | | | e3) = all_48_0 & $i(all_48_0)))
% 176.29/27.29 | | | | | | | | | | | | |
% 176.29/27.29 | | | | | | | | | | | | | ALPHA: (20376) implies:
% 176.29/27.29 | | | | | | | | | | | | | (20377) op(e3, e1) = all_48_1
% 176.29/27.29 | | | | | | | | | | | | |
% 176.29/27.29 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e0, all_65_2, e1, e1,
% 176.29/27.29 | | | | | | | | | | | | | simplifying with (20292), (20369) gives:
% 176.29/27.29 | | | | | | | | | | | | | (20378) all_65_2 = e0
% 176.29/27.29 | | | | | | | | | | | | |
% 176.29/27.29 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_32, all_65_2, e1,
% 176.29/27.29 | | | | | | | | | | | | | e1, simplifying with (20369), (20373) gives:
% 176.29/27.29 | | | | | | | | | | | | | (20379) all_65_2 = all_65_32
% 176.29/27.29 | | | | | | | | | | | | |
% 176.29/27.29 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_6, all_65_16, e2,
% 176.29/27.29 | | | | | | | | | | | | | e1, simplifying with (229), (20368) gives:
% 176.29/27.29 | | | | | | | | | | | | | (20380) all_65_16 = all_61_6
% 176.29/27.29 | | | | | | | | | | | | |
% 176.29/27.29 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_2, all_65_0, e3,
% 176.29/27.29 | | | | | | | | | | | | | e1, simplifying with (230), (20367) gives:
% 176.29/27.29 | | | | | | | | | | | | | (20381) all_65_0 = all_61_2
% 176.29/27.29 | | | | | | | | | | | | |
% 176.29/27.29 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_9, all_65_16, e1,
% 176.29/27.29 | | | | | | | | | | | | | e2, simplifying with (232), (20372) gives:
% 176.29/27.29 | | | | | | | | | | | | | (20382) all_65_16 = all_61_9
% 176.29/27.29 | | | | | | | | | | | | |
% 176.29/27.29 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_8, all_48_1, e1,
% 176.29/27.29 | | | | | | | | | | | | | e3, simplifying with (236), (20377) gives:
% 176.29/27.29 | | | | | | | | | | | | | (20383) all_61_8 = all_48_1
% 176.29/27.29 | | | | | | | | | | | | |
% 176.29/27.29 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_8, all_65_0, e1,
% 176.29/27.29 | | | | | | | | | | | | | e3, simplifying with (236), (20371) gives:
% 176.29/27.29 | | | | | | | | | | | | | (20384) all_65_0 = all_61_8
% 176.29/27.29 | | | | | | | | | | | | |
% 176.29/27.29 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_40_1, all_65_0, e1,
% 176.29/27.29 | | | | | | | | | | | | | e3, simplifying with (20363), (20371) gives:
% 176.29/27.29 | | | | | | | | | | | | | (20385) all_65_0 = all_40_1
% 176.29/27.29 | | | | | | | | | | | | |
% 176.29/27.29 | | | | | | | | | | | | | COMBINE_EQS: (20384), (20385) imply:
% 176.29/27.29 | | | | | | | | | | | | | (20386) all_61_8 = all_40_1
% 176.29/27.29 | | | | | | | | | | | | |
% 176.29/27.29 | | | | | | | | | | | | | SIMP: (20386) implies:
% 176.29/27.29 | | | | | | | | | | | | | (20387) all_61_8 = all_40_1
% 176.29/27.29 | | | | | | | | | | | | |
% 176.29/27.29 | | | | | | | | | | | | | COMBINE_EQS: (20381), (20385) imply:
% 176.29/27.29 | | | | | | | | | | | | | (20388) all_61_2 = all_40_1
% 176.29/27.29 | | | | | | | | | | | | |
% 176.29/27.29 | | | | | | | | | | | | | SIMP: (20388) implies:
% 176.29/27.29 | | | | | | | | | | | | | (20389) all_61_2 = all_40_1
% 176.29/27.29 | | | | | | | | | | | | |
% 176.29/27.29 | | | | | | | | | | | | | COMBINE_EQS: (20378), (20379) imply:
% 176.29/27.29 | | | | | | | | | | | | | (20390) all_65_32 = e0
% 176.29/27.29 | | | | | | | | | | | | |
% 176.29/27.29 | | | | | | | | | | | | | COMBINE_EQS: (20380), (20382) imply:
% 176.29/27.29 | | | | | | | | | | | | | (20391) all_61_6 = all_61_9
% 176.29/27.29 | | | | | | | | | | | | |
% 176.29/27.29 | | | | | | | | | | | | | COMBINE_EQS: (20383), (20387) imply:
% 176.29/27.29 | | | | | | | | | | | | | (20392) all_48_1 = all_40_1
% 176.29/27.29 | | | | | | | | | | | | |
% 176.29/27.29 | | | | | | | | | | | | | REDUCE: (195), (20391) imply:
% 176.29/27.29 | | | | | | | | | | | | | (20393) ~ (all_61_7 = all_61_9)
% 176.29/27.29 | | | | | | | | | | | | |
% 176.29/27.29 | | | | | | | | | | | | | SIMP: (20393) implies:
% 176.29/27.29 | | | | | | | | | | | | | (20394) ~ (all_61_7 = all_61_9)
% 176.29/27.29 | | | | | | | | | | | | |
% 176.29/27.29 | | | | | | | | | | | | | REDUCE: (190), (20387) imply:
% 176.29/27.29 | | | | | | | | | | | | | (20395) ~ (all_61_9 = all_40_1)
% 176.29/27.29 | | | | | | | | | | | | |
% 176.29/27.29 | | | | | | | | | | | | | SIMP: (20395) implies:
% 176.29/27.29 | | | | | | | | | | | | | (20396) ~ (all_61_9 = all_40_1)
% 176.29/27.29 | | | | | | | | | | | | |
% 176.29/27.29 | | | | | | | | | | | | | REDUCE: (20281), (20387) imply:
% 176.29/27.29 | | | | | | | | | | | | | (20397) ~ (all_40_1 = e0)
% 176.29/27.29 | | | | | | | | | | | | |
% 176.29/27.29 | | | | | | | | | | | | | REDUCE: (668), (20389) imply:
% 176.29/27.29 | | | | | | | | | | | | | (20398) op(all_40_1, e1) = all_65_34
% 176.29/27.29 | | | | | | | | | | | | |
% 176.29/27.29 | | | | | | | | | | | | | REDUCE: (17767), (20389), (20391) imply:
% 176.29/27.29 | | | | | | | | | | | | | (20399) op(all_61_9, e2) = all_40_1
% 176.29/27.29 | | | | | | | | | | | | |
% 176.29/27.29 | | | | | | | | | | | | | REDUCE: (672), (20391) imply:
% 176.29/27.29 | | | | | | | | | | | | | (20400) op(all_61_9, e1) = all_65_38
% 176.29/27.29 | | | | | | | | | | | | |
% 176.29/27.29 | | | | | | | | | | | | | REDUCE: (20329), (20387) imply:
% 176.29/27.29 | | | | | | | | | | | | | (20401) op(all_40_1, e1) = all_61_12
% 176.29/27.29 | | | | | | | | | | | | |
% 176.29/27.29 | | | | | | | | | | | | | REDUCE: (20335), (20389) imply:
% 176.29/27.29 | | | | | | | | | | | | | (20402) op(e1, all_40_1) = all_61_3
% 176.29/27.29 | | | | | | | | | | | | |
% 176.29/27.29 | | | | | | | | | | | | | REDUCE: (20336), (20391) imply:
% 176.29/27.29 | | | | | | | | | | | | | (20403) op(e1, all_61_9) = all_61_7
% 176.29/27.29 | | | | | | | | | | | | |
% 176.29/27.29 | | | | | | | | | | | | | REDUCE: (734), (20387) imply:
% 176.29/27.29 | | | | | | | | | | | | | (20404) op(e1, all_40_1) = all_65_34
% 176.29/27.29 | | | | | | | | | | | | |
% 176.29/27.29 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_3, all_65_34,
% 176.29/27.29 | | | | | | | | | | | | | all_40_1, e1, simplifying with (20402), (20404)
% 176.29/27.29 | | | | | | | | | | | | | gives:
% 176.29/27.29 | | | | | | | | | | | | | (20405) all_65_34 = all_61_3
% 176.29/27.29 | | | | | | | | | | | | |
% 176.29/27.29 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_38, all_61_7,
% 176.29/27.29 | | | | | | | | | | | | | all_61_9, e1, simplifying with (738), (20403)
% 176.29/27.29 | | | | | | | | | | | | | gives:
% 176.29/27.29 | | | | | | | | | | | | | (20406) all_65_38 = all_61_7
% 176.29/27.29 | | | | | | | | | | | | |
% 176.29/27.29 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_12, all_65_34, e1,
% 176.29/27.29 | | | | | | | | | | | | | all_40_1, simplifying with (20398), (20401) gives:
% 176.29/27.29 | | | | | | | | | | | | | (20407) all_65_34 = all_61_12
% 176.29/27.29 | | | | | | | | | | | | |
% 176.29/27.29 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_13, all_65_38, e1,
% 176.29/27.29 | | | | | | | | | | | | | all_61_9, simplifying with (20330), (20400) gives:
% 176.29/27.29 | | | | | | | | | | | | | (20408) all_65_38 = all_61_13
% 176.29/27.29 | | | | | | | | | | | | |
% 176.29/27.29 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_25, all_40_1, e2,
% 176.29/27.29 | | | | | | | | | | | | | all_61_9, simplifying with (659), (20399) gives:
% 176.29/27.29 | | | | | | | | | | | | | (20409) all_65_25 = all_40_1
% 176.29/27.29 | | | | | | | | | | | | |
% 176.29/27.29 | | | | | | | | | | | | | COMBINE_EQS: (20405), (20407) imply:
% 176.29/27.29 | | | | | | | | | | | | | (20410) all_61_3 = all_61_12
% 176.29/27.29 | | | | | | | | | | | | |
% 176.29/27.29 | | | | | | | | | | | | | SIMP: (20410) implies:
% 176.29/27.29 | | | | | | | | | | | | | (20411) all_61_3 = all_61_12
% 176.29/27.29 | | | | | | | | | | | | |
% 176.29/27.29 | | | | | | | | | | | | | COMBINE_EQS: (20406), (20408) imply:
% 176.29/27.29 | | | | | | | | | | | | | (20412) all_61_7 = all_61_13
% 176.29/27.29 | | | | | | | | | | | | |
% 176.29/27.29 | | | | | | | | | | | | | SIMP: (20412) implies:
% 176.29/27.29 | | | | | | | | | | | | | (20413) all_61_7 = all_61_13
% 176.29/27.29 | | | | | | | | | | | | |
% 176.29/27.29 | | | | | | | | | | | | | REDUCE: (20394), (20413) imply:
% 176.29/27.29 | | | | | | | | | | | | | (20414) ~ (all_61_9 = all_61_13)
% 176.29/27.29 | | | | | | | | | | | | |
% 176.29/27.29 | | | | | | | | | | | | | REDUCE: (685), (20411) imply:
% 176.29/27.29 | | | | | | | | | | | | | (20415) op(all_61_12, e0) = all_65_55
% 176.29/27.29 | | | | | | | | | | | | |
% 176.29/27.29 | | | | | | | | | | | | | REDUCE: (689), (20413) imply:
% 176.29/27.29 | | | | | | | | | | | | | (20416) op(all_61_13, e0) = all_65_63
% 176.29/27.29 | | | | | | | | | | | | |
% 176.29/27.29 | | | | | | | | | | | | | REDUCE: (761), (20411) imply:
% 176.29/27.29 | | | | | | | | | | | | | (20417) op(e0, all_61_12) = all_65_73
% 176.29/27.29 | | | | | | | | | | | | |
% 176.29/27.29 | | | | | | | | | | | | | REDUCE: (762), (20413) imply:
% 176.29/27.29 | | | | | | | | | | | | | (20418) op(e0, all_61_13) = all_65_75
% 176.29/27.29 | | | | | | | | | | | | |
% 176.29/27.29 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_63, all_65_75,
% 176.29/27.29 | | | | | | | | | | | | | all_61_13, e0, simplifying with (756), (20418)
% 176.29/27.29 | | | | | | | | | | | | | gives:
% 176.29/27.29 | | | | | | | | | | | | | (20419) all_65_63 = all_65_75
% 176.29/27.29 | | | | | | | | | | | | |
% 176.29/27.29 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_55, all_65_73,
% 176.29/27.29 | | | | | | | | | | | | | all_61_12, e0, simplifying with (752), (20417)
% 176.29/27.29 | | | | | | | | | | | | | gives:
% 176.29/27.29 | | | | | | | | | | | | | (20420) all_65_55 = all_65_73
% 176.29/27.29 | | | | | | | | | | | | |
% 176.29/27.29 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_31, all_65_63, e0,
% 176.29/27.29 | | | | | | | | | | | | | all_61_13, simplifying with (665), (20416) gives:
% 176.29/27.29 | | | | | | | | | | | | | (20421) all_65_31 = all_65_63
% 176.29/27.29 | | | | | | | | | | | | |
% 176.29/27.29 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_15, all_65_55, e0,
% 176.29/27.29 | | | | | | | | | | | | | all_61_12, simplifying with (649), (20415) gives:
% 176.29/27.29 | | | | | | | | | | | | | (20422) all_65_15 = all_65_55
% 176.29/27.29 | | | | | | | | | | | | |
% 176.29/27.29 | | | | | | | | | | | | | COMBINE_EQS: (20419), (20421) imply:
% 176.29/27.29 | | | | | | | | | | | | | (20423) all_65_31 = all_65_75
% 176.29/27.29 | | | | | | | | | | | | |
% 176.29/27.29 | | | | | | | | | | | | | COMBINE_EQS: (20420), (20422) imply:
% 176.29/27.29 | | | | | | | | | | | | | (20424) all_65_15 = all_65_73
% 176.29/27.29 | | | | | | | | | | | | |
% 176.29/27.29 | | | | | | | | | | | | | REDUCE: (20415), (20420) imply:
% 176.29/27.29 | | | | | | | | | | | | | (20425) op(all_61_12, e0) = all_65_73
% 176.29/27.29 | | | | | | | | | | | | |
% 176.29/27.29 | | | | | | | | | | | | | REDUCE: (20416), (20419) imply:
% 176.29/27.29 | | | | | | | | | | | | | (20426) op(all_61_13, e0) = all_65_75
% 176.29/27.29 | | | | | | | | | | | | |
% 176.29/27.29 | | | | | | | | | | | | | REDUCE: (713), (20424) imply:
% 176.29/27.29 | | | | | | | | | | | | | (20427) op(e3, all_20_2) = all_65_73
% 176.29/27.29 | | | | | | | | | | | | |
% 176.29/27.29 | | | | | | | | | | | | | REDUCE: (730), (20423) imply:
% 176.29/27.29 | | | | | | | | | | | | | (20428) op(e2, all_20_2) = all_65_75
% 176.29/27.29 | | | | | | | | | | | | |
% 176.29/27.29 | | | | | | | | | | | | | BETA: splitting (110) gives:
% 176.29/27.29 | | | | | | | | | | | | |
% 176.29/27.29 | | | | | | | | | | | | | Case 1:
% 176.29/27.29 | | | | | | | | | | | | | |
% 176.29/27.29 | | | | | | | | | | | | | | (20429) ~ (all_42_2 = e1)
% 176.29/27.29 | | | | | | | | | | | | | |
% 176.29/27.29 | | | | | | | | | | | | | | REDUCE: (532), (20429) imply:
% 176.29/27.29 | | | | | | | | | | | | | | (20430) ~ (all_20_2 = e1)
% 176.29/27.29 | | | | | | | | | | | | | |
% 176.29/27.29 | | | | | | | | | | | | | | BETA: splitting (256) gives:
% 176.29/27.29 | | | | | | | | | | | | | |
% 176.29/27.29 | | | | | | | | | | | | | | Case 1:
% 176.29/27.29 | | | | | | | | | | | | | | |
% 176.29/27.29 | | | | | | | | | | | | | | | (20431) all_63_15 = e3
% 176.29/27.29 | | | | | | | | | | | | | | |
% 176.29/27.29 | | | | | | | | | | | | | | | REF_CLOSE: (422), (20356), (20431) are inconsistent by
% 176.29/27.29 | | | | | | | | | | | | | | | sub-proof #501.
% 176.29/27.29 | | | | | | | | | | | | | | |
% 176.29/27.29 | | | | | | | | | | | | | | Case 2:
% 176.29/27.29 | | | | | | | | | | | | | | |
% 176.29/27.29 | | | | | | | | | | | | | | | (20432) all_63_15 = e2 | all_63_15 = e1 | all_63_15 = e0
% 176.29/27.29 | | | | | | | | | | | | | | |
% 176.29/27.29 | | | | | | | | | | | | | | | BETA: splitting (20432) gives:
% 176.29/27.29 | | | | | | | | | | | | | | |
% 176.29/27.29 | | | | | | | | | | | | | | | Case 1:
% 176.29/27.29 | | | | | | | | | | | | | | | |
% 176.29/27.29 | | | | | | | | | | | | | | | | (20433) all_63_15 = e2
% 176.29/27.29 | | | | | | | | | | | | | | | |
% 176.29/27.29 | | | | | | | | | | | | | | | | REF_CLOSE: (422), (20354), (20433) are inconsistent by
% 176.29/27.29 | | | | | | | | | | | | | | | | sub-proof #500.
% 176.29/27.29 | | | | | | | | | | | | | | | |
% 176.29/27.29 | | | | | | | | | | | | | | | Case 2:
% 176.29/27.29 | | | | | | | | | | | | | | | |
% 176.29/27.29 | | | | | | | | | | | | | | | | (20434) all_63_15 = e1 | all_63_15 = e0
% 176.29/27.29 | | | | | | | | | | | | | | | |
% 176.29/27.29 | | | | | | | | | | | | | | | | BETA: splitting (20434) gives:
% 176.29/27.29 | | | | | | | | | | | | | | | |
% 176.29/27.29 | | | | | | | | | | | | | | | | Case 1:
% 176.29/27.29 | | | | | | | | | | | | | | | | |
% 176.29/27.30 | | | | | | | | | | | | | | | | | (20435) all_63_15 = e1
% 176.29/27.30 | | | | | | | | | | | | | | | | |
% 176.29/27.30 | | | | | | | | | | | | | | | | | REF_CLOSE: (422), (20430), (20435) are inconsistent by
% 176.29/27.30 | | | | | | | | | | | | | | | | | sub-proof #499.
% 176.29/27.30 | | | | | | | | | | | | | | | | |
% 176.29/27.30 | | | | | | | | | | | | | | | | Case 2:
% 176.29/27.30 | | | | | | | | | | | | | | | | |
% 176.29/27.30 | | | | | | | | | | | | | | | | | (20436) all_63_15 = e0
% 176.29/27.30 | | | | | | | | | | | | | | | | |
% 176.29/27.30 | | | | | | | | | | | | | | | | | COMBINE_EQS: (422), (20436) imply:
% 176.29/27.30 | | | | | | | | | | | | | | | | | (20437) all_20_2 = e0
% 176.29/27.30 | | | | | | | | | | | | | | | | |
% 176.29/27.30 | | | | | | | | | | | | | | | | | SIMP: (20437) implies:
% 176.29/27.30 | | | | | | | | | | | | | | | | | (20438) all_20_2 = e0
% 176.29/27.30 | | | | | | | | | | | | | | | | |
% 176.29/27.30 | | | | | | | | | | | | | | | | | REDUCE: (626), (20438) imply:
% 176.29/27.30 | | | | | | | | | | | | | | | | | (20439) ~ (all_61_13 = e0)
% 176.29/27.30 | | | | | | | | | | | | | | | | |
% 176.29/27.30 | | | | | | | | | | | | | | | | | REDUCE: (20428), (20438) imply:
% 176.29/27.30 | | | | | | | | | | | | | | | | | (20440) op(e2, e0) = all_65_75
% 176.29/27.30 | | | | | | | | | | | | | | | | |
% 176.29/27.30 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_13, all_65_75, e0,
% 176.29/27.30 | | | | | | | | | | | | | | | | | e2, simplifying with (231), (20440) gives:
% 176.29/27.30 | | | | | | | | | | | | | | | | | (20441) all_65_75 = all_61_13
% 176.29/27.30 | | | | | | | | | | | | | | | | |
% 176.29/27.30 | | | | | | | | | | | | | | | | | REDUCE: (20426), (20441) imply:
% 176.29/27.30 | | | | | | | | | | | | | | | | | (20442) op(all_61_13, e0) = all_61_13
% 176.29/27.30 | | | | | | | | | | | | | | | | |
% 176.29/27.30 | | | | | | | | | | | | | | | | | BETA: splitting (161) gives:
% 176.29/27.30 | | | | | | | | | | | | | | | | |
% 176.29/27.30 | | | | | | | | | | | | | | | | | Case 1:
% 176.29/27.30 | | | | | | | | | | | | | | | | | |
% 176.29/27.30 | | | | | | | | | | | | | | | | | | (20443) ~ (all_58_2 = e2)
% 176.29/27.30 | | | | | | | | | | | | | | | | | |
% 176.29/27.30 | | | | | | | | | | | | | | | | | | REDUCE: (478), (20443) imply:
% 176.29/27.30 | | | | | | | | | | | | | | | | | | (20444) ~ (all_52_2 = e2)
% 176.29/27.30 | | | | | | | | | | | | | | | | | |
% 176.29/27.30 | | | | | | | | | | | | | | | | | | BETA: splitting (164) gives:
% 176.29/27.30 | | | | | | | | | | | | | | | | | |
% 176.29/27.30 | | | | | | | | | | | | | | | | | | Case 1:
% 176.29/27.30 | | | | | | | | | | | | | | | | | | |
% 176.29/27.30 | | | | | | | | | | | | | | | | | | | (20445) ~ (all_58_1 = e1)
% 176.29/27.30 | | | | | | | | | | | | | | | | | | |
% 176.29/27.30 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9), (20), (50), (150), (158), (163), (165),
% 176.29/27.30 | | | | | | | | | | | | | | | | | | | (231), (475), (481), (484), (536), (714), (731),
% 176.29/27.30 | | | | | | | | | | | | | | | | | | | (17713), (17771), (20351), (20370), (20439),
% 176.29/27.30 | | | | | | | | | | | | | | | | | | | (20442), (20445) are inconsistent by sub-proof
% 176.29/27.30 | | | | | | | | | | | | | | | | | | | #68.
% 176.29/27.30 | | | | | | | | | | | | | | | | | | |
% 176.29/27.30 | | | | | | | | | | | | | | | | | | Case 2:
% 176.29/27.30 | | | | | | | | | | | | | | | | | | |
% 176.29/27.30 | | | | | | | | | | | | | | | | | | | (20446) all_58_2 = e2
% 176.29/27.30 | | | | | | | | | | | | | | | | | | |
% 176.29/27.30 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (478), (20444), (20446) are inconsistent by
% 176.29/27.30 | | | | | | | | | | | | | | | | | | | sub-proof #433.
% 176.29/27.30 | | | | | | | | | | | | | | | | | | |
% 176.29/27.30 | | | | | | | | | | | | | | | | | | End of split
% 176.29/27.30 | | | | | | | | | | | | | | | | | |
% 176.29/27.30 | | | | | | | | | | | | | | | | | Case 2:
% 176.29/27.30 | | | | | | | | | | | | | | | | | |
% 176.29/27.30 | | | | | | | | | | | | | | | | | | (20447) all_58_1 = e1
% 176.29/27.30 | | | | | | | | | | | | | | | | | |
% 176.29/27.30 | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (50), (184), (232), (481), (731),
% 176.29/27.30 | | | | | | | | | | | | | | | | | | (20282), (20330), (20352), (20396), (20399),
% 176.29/27.30 | | | | | | | | | | | | | | | | | | (20447) are inconsistent by sub-proof #60.
% 176.29/27.30 | | | | | | | | | | | | | | | | | |
% 176.29/27.30 | | | | | | | | | | | | | | | | | End of split
% 176.29/27.30 | | | | | | | | | | | | | | | | |
% 176.29/27.30 | | | | | | | | | | | | | | | | End of split
% 176.29/27.30 | | | | | | | | | | | | | | | |
% 176.29/27.30 | | | | | | | | | | | | | | | End of split
% 176.29/27.30 | | | | | | | | | | | | | | |
% 176.29/27.30 | | | | | | | | | | | | | | End of split
% 176.29/27.30 | | | | | | | | | | | | | |
% 176.29/27.30 | | | | | | | | | | | | | Case 2:
% 176.29/27.30 | | | | | | | | | | | | | |
% 176.29/27.30 | | | | | | | | | | | | | | (20448) all_42_2 = e1
% 176.29/27.30 | | | | | | | | | | | | | |
% 176.29/27.30 | | | | | | | | | | | | | | COMBINE_EQS: (532), (20448) imply:
% 176.29/27.30 | | | | | | | | | | | | | | (20449) all_20_2 = e1
% 176.29/27.30 | | | | | | | | | | | | | |
% 176.29/27.30 | | | | | | | | | | | | | | REDUCE: (20427), (20449) imply:
% 176.29/27.30 | | | | | | | | | | | | | | (20450) op(e3, e1) = all_65_73
% 176.29/27.30 | | | | | | | | | | | | | |
% 176.29/27.30 | | | | | | | | | | | | | | REDUCE: (20428), (20449) imply:
% 176.29/27.30 | | | | | | | | | | | | | | (20451) op(e2, e1) = all_65_75
% 176.29/27.30 | | | | | | | | | | | | | |
% 176.29/27.30 | | | | | | | | | | | | | | REDUCE: (20344), (20449) imply:
% 176.29/27.30 | | | | | | | | | | | | | | (20452) op(e1, e1) = all_65_77
% 176.29/27.30 | | | | | | | | | | | | | |
% 176.29/27.30 | | | | | | | | | | | | | | REDUCE: (76), (20449) imply:
% 176.29/27.30 | | | | | | | | | | | | | | (20453) op(e0, e0) = e1
% 176.29/27.30 | | | | | | | | | | | | | |
% 176.29/27.30 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e0, all_65_77, e1, e1,
% 176.29/27.30 | | | | | | | | | | | | | | simplifying with (20292), (20452) gives:
% 176.29/27.30 | | | | | | | | | | | | | | (20454) all_65_77 = e0
% 176.29/27.30 | | | | | | | | | | | | | |
% 176.29/27.30 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_9, all_65_75, e1,
% 176.29/27.30 | | | | | | | | | | | | | | e2, simplifying with (232), (20451) gives:
% 176.29/27.30 | | | | | | | | | | | | | | (20455) all_65_75 = all_61_9
% 176.29/27.30 | | | | | | | | | | | | | |
% 176.29/27.30 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_40_1, all_65_73, e1,
% 176.29/27.30 | | | | | | | | | | | | | | e3, simplifying with (20363), (20450) gives:
% 176.29/27.30 | | | | | | | | | | | | | | (20456) all_65_73 = all_40_1
% 176.29/27.30 | | | | | | | | | | | | | |
% 176.29/27.30 | | | | | | | | | | | | | | REDUCE: (20425), (20456) imply:
% 176.29/27.30 | | | | | | | | | | | | | | (20457) op(all_61_12, e0) = all_40_1
% 176.29/27.30 | | | | | | | | | | | | | |
% 176.29/27.30 | | | | | | | | | | | | | | REDUCE: (20426), (20455) imply:
% 176.29/27.30 | | | | | | | | | | | | | | (20458) op(all_61_13, e0) = all_61_9
% 176.29/27.30 | | | | | | | | | | | | | |
% 176.29/27.30 | | | | | | | | | | | | | | BETA: splitting (157) gives:
% 176.29/27.30 | | | | | | | | | | | | | |
% 176.29/27.30 | | | | | | | | | | | | | | Case 1:
% 176.29/27.30 | | | | | | | | | | | | | | |
% 176.29/27.30 | | | | | | | | | | | | | | | (20459) ~ (all_58_3 = e1)
% 176.29/27.30 | | | | | | | | | | | | | | |
% 176.29/27.30 | | | | | | | | | | | | | | | REDUCE: (475), (20459) imply:
% 176.29/27.30 | | | | | | | | | | | | | | | (20460) ~ (all_52_3 = e1)
% 176.29/27.30 | | | | | | | | | | | | | | |
% 176.29/27.30 | | | | | | | | | | | | | | | BETA: splitting (159) gives:
% 176.29/27.30 | | | | | | | | | | | | | | |
% 176.29/27.30 | | | | | | | | | | | | | | | Case 1:
% 176.29/27.30 | | | | | | | | | | | | | | | |
% 176.29/27.30 | | | | | | | | | | | | | | | | (20461) ~ (all_58_3 = e3)
% 176.29/27.30 | | | | | | | | | | | | | | | |
% 176.29/27.30 | | | | | | | | | | | | | | | | REDUCE: (475), (20461) imply:
% 176.29/27.30 | | | | | | | | | | | | | | | | (20462) ~ (all_52_3 = e3)
% 176.29/27.30 | | | | | | | | | | | | | | | |
% 176.29/27.30 | | | | | | | | | | | | | | | | BETA: splitting (158) gives:
% 176.29/27.30 | | | | | | | | | | | | | | | |
% 176.29/27.30 | | | | | | | | | | | | | | | | Case 1:
% 176.29/27.30 | | | | | | | | | | | | | | | | |
% 176.29/27.30 | | | | | | | | | | | | | | | | | (20463) ~ (all_58_3 = e2)
% 176.29/27.30 | | | | | | | | | | | | | | | | |
% 176.29/27.30 | | | | | | | | | | | | | | | | | REDUCE: (475), (20463) imply:
% 176.29/27.30 | | | | | | | | | | | | | | | | | (20464) ~ (all_52_3 = e2)
% 176.29/27.30 | | | | | | | | | | | | | | | | |
% 176.29/27.30 | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (50), (148), (539), (765), (20292), (20453),
% 176.29/27.30 | | | | | | | | | | | | | | | | | (20460), (20462), (20464) are inconsistent by
% 176.29/27.30 | | | | | | | | | | | | | | | | | sub-proof #154.
% 176.29/27.30 | | | | | | | | | | | | | | | | |
% 176.29/27.30 | | | | | | | | | | | | | | | | Case 2:
% 176.29/27.30 | | | | | | | | | | | | | | | | |
% 176.29/27.30 | | | | | | | | | | | | | | | | | (20465) all_58_1 = e0
% 176.29/27.30 | | | | | | | | | | | | | | | | |
% 176.29/27.30 | | | | | | | | | | | | | | | | | COMBINE_EQS: (481), (20465) imply:
% 176.29/27.30 | | | | | | | | | | | | | | | | | (20466) all_52_1 = e0
% 176.29/27.30 | | | | | | | | | | | | | | | | |
% 176.29/27.30 | | | | | | | | | | | | | | | | | SIMP: (20466) implies:
% 176.29/27.30 | | | | | | | | | | | | | | | | | (20467) all_52_1 = e0
% 176.29/27.30 | | | | | | | | | | | | | | | | |
% 176.29/27.30 | | | | | | | | | | | | | | | | | REDUCE: (731), (20467) imply:
% 176.29/27.30 | | | | | | | | | | | | | | | | | (20468) op(e2, e0) = unit
% 176.29/27.30 | | | | | | | | | | | | | | | | |
% 176.29/27.30 | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (50), (231), (20282), (20458), (20468) are
% 176.29/27.30 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #59.
% 176.29/27.30 | | | | | | | | | | | | | | | | |
% 176.29/27.30 | | | | | | | | | | | | | | | | End of split
% 176.29/27.30 | | | | | | | | | | | | | | | |
% 176.29/27.30 | | | | | | | | | | | | | | | Case 2:
% 176.29/27.30 | | | | | | | | | | | | | | | |
% 176.29/27.30 | | | | | | | | | | | | | | | | (20469) all_58_0 = e0
% 176.29/27.30 | | | | | | | | | | | | | | | |
% 176.29/27.30 | | | | | | | | | | | | | | | | REF_CLOSE: (7), (50), (235), (484), (714), (20397), (20457),
% 176.29/27.30 | | | | | | | | | | | | | | | | (20469) are inconsistent by sub-proof #121.
% 176.29/27.30 | | | | | | | | | | | | | | | |
% 176.29/27.30 | | | | | | | | | | | | | | | End of split
% 176.29/27.30 | | | | | | | | | | | | | | |
% 176.29/27.30 | | | | | | | | | | | | | | Case 2:
% 176.29/27.30 | | | | | | | | | | | | | | |
% 176.29/27.30 | | | | | | | | | | | | | | | (20470) all_58_3 = e1
% 176.29/27.30 | | | | | | | | | | | | | | | (20471) all_58_2 = e0
% 176.29/27.30 | | | | | | | | | | | | | | |
% 176.29/27.30 | | | | | | | | | | | | | | | COMBINE_EQS: (478), (20471) imply:
% 176.29/27.30 | | | | | | | | | | | | | | | (20472) all_52_2 = e0
% 176.29/27.30 | | | | | | | | | | | | | | |
% 176.29/27.30 | | | | | | | | | | | | | | | SIMP: (20472) implies:
% 176.29/27.30 | | | | | | | | | | | | | | | (20473) all_52_2 = e0
% 176.29/27.30 | | | | | | | | | | | | | | |
% 176.29/27.30 | | | | | | | | | | | | | | | COMBINE_EQS: (475), (20470) imply:
% 176.29/27.30 | | | | | | | | | | | | | | | (20474) all_52_3 = e1
% 176.29/27.30 | | | | | | | | | | | | | | |
% 176.29/27.30 | | | | | | | | | | | | | | | REDUCE: (631), (20473) imply:
% 176.29/27.30 | | | | | | | | | | | | | | | (20475) ~ (all_52_1 = e0)
% 176.29/27.30 | | | | | | | | | | | | | | |
% 176.29/27.30 | | | | | | | | | | | | | | | REDUCE: (632), (20474) imply:
% 176.29/27.30 | | | | | | | | | | | | | | | (20476) ~ (all_52_1 = e1)
% 176.29/27.30 | | | | | | | | | | | | | | |
% 176.29/27.30 | | | | | | | | | | | | | | | REF_CLOSE: (9), (20), (50), (150), (165), (481), (484),
% 176.29/27.30 | | | | | | | | | | | | | | | (536), (714), (731), (17713), (17771), (20351),
% 176.29/27.30 | | | | | | | | | | | | | | | (20370), (20475), (20476) are inconsistent by
% 176.29/27.30 | | | | | | | | | | | | | | | sub-proof #97.
% 176.29/27.30 | | | | | | | | | | | | | | |
% 176.29/27.30 | | | | | | | | | | | | | | End of split
% 176.29/27.30 | | | | | | | | | | | | | |
% 176.29/27.30 | | | | | | | | | | | | | End of split
% 176.29/27.30 | | | | | | | | | | | | |
% 176.29/27.30 | | | | | | | | | | | | End of split
% 176.29/27.30 | | | | | | | | | | | |
% 176.29/27.30 | | | | | | | | | | | End of split
% 176.29/27.30 | | | | | | | | | | |
% 176.29/27.30 | | | | | | | | | | Case 2:
% 176.29/27.30 | | | | | | | | | | |
% 176.29/27.30 | | | | | | | | | | | (20477) all_36_2 = e0
% 176.29/27.30 | | | | | | | | | | | (20478) op(e3, e0) = all_36_1 & $i(all_36_1) & ( ~
% 176.29/27.30 | | | | | | | | | | | (all_36_1 = e2) | ( ~ (all_36_0 = e1) & op(e2,
% 176.29/27.30 | | | | | | | | | | | e3) = all_36_0 & $i(all_36_0)))
% 176.29/27.30 | | | | | | | | | | |
% 176.29/27.30 | | | | | | | | | | | ALPHA: (20478) implies:
% 176.29/27.30 | | | | | | | | | | | (20479) op(e3, e0) = all_36_1
% 176.29/27.30 | | | | | | | | | | |
% 176.29/27.30 | | | | | | | | | | | COMBINE_EQS: (557), (20477) imply:
% 176.29/27.30 | | | | | | | | | | | (20480) all_14_2 = e0
% 176.29/27.30 | | | | | | | | | | |
% 176.29/27.30 | | | | | | | | | | | SIMP: (20480) implies:
% 176.29/27.30 | | | | | | | | | | | (20481) all_14_2 = e0
% 176.29/27.30 | | | | | | | | | | |
% 176.29/27.30 | | | | | | | | | | | COMBINE_EQS: (549), (20481) imply:
% 176.29/27.30 | | | | | | | | | | | (20482) all_44_2 = e0
% 176.29/27.30 | | | | | | | | | | |
% 176.29/27.30 | | | | | | | | | | | REDUCE: (17757), (20481) imply:
% 176.29/27.30 | | | | | | | | | | | (20483) ~ (all_6_1 = e0)
% 176.29/27.30 | | | | | | | | | | |
% 176.29/27.30 | | | | | | | | | | | SIMP: (20483) implies:
% 176.29/27.30 | | | | | | | | | | | (20484) ~ (all_6_1 = e0)
% 176.29/27.30 | | | | | | | | | | |
% 176.29/27.30 | | | | | | | | | | | REDUCE: (20353), (20481) imply:
% 176.29/27.30 | | | | | | | | | | | (20485) ~ (e2 = e0)
% 176.29/27.30 | | | | | | | | | | |
% 176.29/27.30 | | | | | | | | | | | REDUCE: (634), (20481) imply:
% 176.29/27.30 | | | | | | | | | | | (20486) op(e0, e3) = all_65_0
% 176.29/27.30 | | | | | | | | | | |
% 176.29/27.30 | | | | | | | | | | | REDUCE: (17789), (20481) imply:
% 176.29/27.30 | | | | | | | | | | | (20487) op(e0, e2) = all_65_16
% 176.29/27.30 | | | | | | | | | | |
% 176.29/27.30 | | | | | | | | | | | REDUCE: (637), (20481) imply:
% 176.29/27.30 | | | | | | | | | | | (20488) op(e0, e0) = all_65_3
% 176.29/27.30 | | | | | | | | | | |
% 176.29/27.30 | | | | | | | | | | | REDUCE: (17764), (20481) imply:
% 176.29/27.30 | | | | | | | | | | | (20489) op(all_6_1, e2) = e0
% 176.29/27.30 | | | | | | | | | | |
% 176.29/27.30 | | | | | | | | | | | REDUCE: (698), (20481) imply:
% 176.29/27.30 | | | | | | | | | | | (20490) op(e3, e0) = all_65_0
% 176.29/27.30 | | | | | | | | | | |
% 176.29/27.30 | | | | | | | | | | | REDUCE: (67), (20481) imply:
% 176.29/27.30 | | | | | | | | | | | (20491) op(e3, e3) = e0
% 176.29/27.30 | | | | | | | | | | |
% 176.29/27.30 | | | | | | | | | | | REDUCE: (715), (20481) imply:
% 176.29/27.30 | | | | | | | | | | | (20492) op(e2, e0) = all_65_16
% 176.29/27.30 | | | | | | | | | | |
% 176.29/27.30 | | | | | | | | | | | REDUCE: (17793), (20481) imply:
% 176.29/27.30 | | | | | | | | | | | (20493) op(e2, all_6_1) = e0
% 176.29/27.30 | | | | | | | | | | |
% 176.29/27.30 | | | | | | | | | | | REDUCE: (749), (20481) imply:
% 176.29/27.30 | | | | | | | | | | | (20494) op(e0, e0) = all_65_49
% 176.29/27.30 | | | | | | | | | | |
% 176.29/27.30 | | | | | | | | | | | BETA: splitting (113) gives:
% 176.29/27.30 | | | | | | | | | | |
% 176.29/27.30 | | | | | | | | | | | Case 1:
% 176.29/27.30 | | | | | | | | | | | |
% 176.29/27.30 | | | | | | | | | | | | (20495) ~ (all_44_2 = e0)
% 176.29/27.30 | | | | | | | | | | | |
% 176.29/27.30 | | | | | | | | | | | | REDUCE: (20482), (20495) imply:
% 176.29/27.30 | | | | | | | | | | | | (20496) $false
% 176.29/27.30 | | | | | | | | | | | |
% 176.29/27.30 | | | | | | | | | | | | CLOSE: (20496) is inconsistent.
% 176.29/27.30 | | | | | | | | | | | |
% 176.29/27.30 | | | | | | | | | | | Case 2:
% 176.29/27.30 | | | | | | | | | | | |
% 176.29/27.30 | | | | | | | | | | | | (20497) op(e3, e0) = all_44_1 & $i(all_44_1) & ( ~
% 176.29/27.30 | | | | | | | | | | | | (all_44_1 = e1) | ( ~ (all_44_0 = e2) & op(e1,
% 176.29/27.30 | | | | | | | | | | | | e3) = all_44_0 & $i(all_44_0)))
% 176.29/27.30 | | | | | | | | | | | |
% 176.29/27.30 | | | | | | | | | | | | ALPHA: (20497) implies:
% 176.29/27.30 | | | | | | | | | | | | (20498) op(e3, e0) = all_44_1
% 176.29/27.30 | | | | | | | | | | | |
% 176.29/27.30 | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_20_2, all_65_3, e0,
% 176.29/27.30 | | | | | | | | | | | | e0, simplifying with (76), (20488) gives:
% 176.29/27.30 | | | | | | | | | | | | (20499) all_65_3 = all_20_2
% 176.29/27.30 | | | | | | | | | | | |
% 176.29/27.30 | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_49, all_65_3, e0,
% 176.29/27.30 | | | | | | | | | | | | e0, simplifying with (20488), (20494) gives:
% 176.29/27.30 | | | | | | | | | | | | (20500) all_65_3 = all_65_49
% 176.29/27.30 | | | | | | | | | | | |
% 176.29/27.30 | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_7, all_65_16, e2,
% 176.29/27.30 | | | | | | | | | | | | e0, simplifying with (225), (20487) gives:
% 176.29/27.30 | | | | | | | | | | | | (20501) all_65_16 = all_61_7
% 176.29/27.30 | | | | | | | | | | | |
% 176.29/27.30 | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_3, all_65_0, e3,
% 176.29/27.30 | | | | | | | | | | | | e0, simplifying with (226), (20486) gives:
% 176.29/27.30 | | | | | | | | | | | | (20502) all_65_0 = all_61_3
% 176.29/27.30 | | | | | | | | | | | |
% 176.29/27.30 | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_13, all_65_16, e0,
% 176.29/27.30 | | | | | | | | | | | | e2, simplifying with (231), (20492) gives:
% 176.29/27.30 | | | | | | | | | | | | (20503) all_65_16 = all_61_13
% 176.29/27.30 | | | | | | | | | | | |
% 176.29/27.30 | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_12, all_44_1, e0,
% 176.29/27.30 | | | | | | | | | | | | e3, simplifying with (235), (20498) gives:
% 176.29/27.30 | | | | | | | | | | | | (20504) all_61_12 = all_44_1
% 176.29/27.30 | | | | | | | | | | | |
% 176.29/27.30 | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_12, all_65_0, e0,
% 176.29/27.30 | | | | | | | | | | | | e3, simplifying with (235), (20490) gives:
% 176.29/27.30 | | | | | | | | | | | | (20505) all_65_0 = all_61_12
% 176.29/27.30 | | | | | | | | | | | |
% 176.29/27.30 | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_36_1, all_65_0, e0,
% 176.29/27.30 | | | | | | | | | | | | e3, simplifying with (20479), (20490) gives:
% 176.29/27.30 | | | | | | | | | | | | (20506) all_65_0 = all_36_1
% 176.29/27.30 | | | | | | | | | | | |
% 176.29/27.30 | | | | | | | | | | | | COMBINE_EQS: (20505), (20506) imply:
% 176.29/27.30 | | | | | | | | | | | | (20507) all_61_12 = all_36_1
% 176.29/27.30 | | | | | | | | | | | |
% 176.29/27.30 | | | | | | | | | | | | SIMP: (20507) implies:
% 176.29/27.30 | | | | | | | | | | | | (20508) all_61_12 = all_36_1
% 176.29/27.30 | | | | | | | | | | | |
% 176.29/27.30 | | | | | | | | | | | | COMBINE_EQS: (20502), (20506) imply:
% 176.47/27.30 | | | | | | | | | | | | (20509) all_61_3 = all_36_1
% 176.47/27.30 | | | | | | | | | | | |
% 176.47/27.30 | | | | | | | | | | | | SIMP: (20509) implies:
% 176.47/27.30 | | | | | | | | | | | | (20510) all_61_3 = all_36_1
% 176.47/27.30 | | | | | | | | | | | |
% 176.47/27.30 | | | | | | | | | | | | COMBINE_EQS: (20499), (20500) imply:
% 176.47/27.30 | | | | | | | | | | | | (20511) all_65_49 = all_20_2
% 176.47/27.30 | | | | | | | | | | | |
% 176.47/27.30 | | | | | | | | | | | | COMBINE_EQS: (20501), (20503) imply:
% 176.47/27.30 | | | | | | | | | | | | (20512) all_61_7 = all_61_13
% 176.47/27.30 | | | | | | | | | | | |
% 176.47/27.30 | | | | | | | | | | | | SIMP: (20512) implies:
% 176.47/27.30 | | | | | | | | | | | | (20513) all_61_7 = all_61_13
% 176.47/27.30 | | | | | | | | | | | |
% 176.47/27.30 | | | | | | | | | | | | COMBINE_EQS: (20504), (20508) imply:
% 176.47/27.30 | | | | | | | | | | | | (20514) all_44_1 = all_36_1
% 176.47/27.30 | | | | | | | | | | | |
% 176.47/27.30 | | | | | | | | | | | | REDUCE: (625), (20508) imply:
% 176.47/27.30 | | | | | | | | | | | | (20515) ~ (all_36_1 = all_20_2)
% 176.47/27.30 | | | | | | | | | | | |
% 176.47/27.30 | | | | | | | | | | | | REDUCE: (17755), (20508) imply:
% 176.47/27.30 | | | | | | | | | | | | (20516) ~ (all_36_1 = all_6_1)
% 176.47/27.30 | | | | | | | | | | | |
% 176.47/27.30 | | | | | | | | | | | | REDUCE: (682), (20510), (20511) imply:
% 176.47/27.30 | | | | | | | | | | | | (20517) op(all_36_1, e3) = all_20_2
% 176.47/27.30 | | | | | | | | | | | |
% 176.47/27.30 | | | | | | | | | | | | REDUCE: (685), (20510) imply:
% 176.47/27.30 | | | | | | | | | | | | (20518) op(all_36_1, e0) = all_65_55
% 176.47/27.30 | | | | | | | | | | | |
% 176.47/27.30 | | | | | | | | | | | | REDUCE: (17768), (20510), (20513) imply:
% 176.47/27.30 | | | | | | | | | | | | (20519) op(all_61_13, e2) = all_36_1
% 176.47/27.30 | | | | | | | | | | | |
% 176.47/27.30 | | | | | | | | | | | | REDUCE: (689), (20513) imply:
% 176.47/27.30 | | | | | | | | | | | | (20520) op(all_61_13, e0) = all_65_63
% 176.47/27.30 | | | | | | | | | | | |
% 176.47/27.30 | | | | | | | | | | | | REDUCE: (20329), (20508) imply:
% 176.47/27.30 | | | | | | | | | | | | (20521) op(all_61_8, e1) = all_36_1
% 176.47/27.30 | | | | | | | | | | | |
% 176.47/27.30 | | | | | | | | | | | | REDUCE: (646), (20508) imply:
% 176.47/27.30 | | | | | | | | | | | | (20522) op(all_36_1, e3) = all_65_12
% 176.47/27.30 | | | | | | | | | | | |
% 176.47/27.30 | | | | | | | | | | | | REDUCE: (649), (20508) imply:
% 176.47/27.30 | | | | | | | | | | | | (20523) op(all_36_1, e0) = all_65_15
% 176.47/27.30 | | | | | | | | | | | |
% 176.47/27.30 | | | | | | | | | | | | REDUCE: (728), (20513) imply:
% 176.47/27.30 | | | | | | | | | | | | (20524) op(e2, all_61_13) = all_65_29
% 176.47/27.30 | | | | | | | | | | | |
% 176.47/27.30 | | | | | | | | | | | | REDUCE: (761), (20510) imply:
% 176.47/27.30 | | | | | | | | | | | | (20525) op(e0, all_36_1) = all_65_73
% 176.47/27.30 | | | | | | | | | | | |
% 176.47/27.30 | | | | | | | | | | | | REDUCE: (762), (20513) imply:
% 176.47/27.30 | | | | | | | | | | | | (20526) op(e0, all_61_13) = all_65_75
% 176.47/27.30 | | | | | | | | | | | |
% 176.47/27.30 | | | | | | | | | | | | REDUCE: (752), (20508) imply:
% 176.47/27.30 | | | | | | | | | | | | (20527) op(e0, all_36_1) = all_65_55
% 176.47/27.30 | | | | | | | | | | | |
% 176.47/27.30 | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_73, all_65_55,
% 176.47/27.30 | | | | | | | | | | | | all_36_1, e0, simplifying with (20525), (20527)
% 176.47/27.30 | | | | | | | | | | | | gives:
% 176.47/27.30 | | | | | | | | | | | | (20528) all_65_55 = all_65_73
% 176.47/27.30 | | | | | | | | | | | |
% 176.47/27.30 | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_63, all_65_75,
% 176.47/27.30 | | | | | | | | | | | | all_61_13, e0, simplifying with (756), (20526)
% 176.47/27.30 | | | | | | | | | | | | gives:
% 176.47/27.30 | | | | | | | | | | | | (20529) all_65_63 = all_65_75
% 176.47/27.30 | | | | | | | | | | | |
% 176.47/27.30 | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_55, all_65_15, e0,
% 176.47/27.30 | | | | | | | | | | | | all_36_1, simplifying with (20518), (20523) gives:
% 176.47/27.30 | | | | | | | | | | | | (20530) all_65_15 = all_65_55
% 176.47/27.30 | | | | | | | | | | | |
% 176.47/27.30 | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_20_2, all_65_12, e3,
% 176.47/27.30 | | | | | | | | | | | | all_36_1, simplifying with (20517), (20522) gives:
% 176.47/27.30 | | | | | | | | | | | | (20531) all_65_12 = all_20_2
% 176.47/27.30 | | | | | | | | | | | |
% 176.47/27.30 | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_31, all_65_63, e0,
% 176.47/27.30 | | | | | | | | | | | | all_61_13, simplifying with (665), (20520) gives:
% 176.47/27.30 | | | | | | | | | | | | (20532) all_65_31 = all_65_63
% 176.47/27.30 | | | | | | | | | | | |
% 176.47/27.30 | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_29, all_36_1, e2,
% 176.47/27.30 | | | | | | | | | | | | all_61_13, simplifying with (663), (20519) gives:
% 176.47/27.30 | | | | | | | | | | | | (20533) all_65_29 = all_36_1
% 176.47/27.30 | | | | | | | | | | | |
% 176.47/27.30 | | | | | | | | | | | | COMBINE_EQS: (20529), (20532) imply:
% 176.47/27.30 | | | | | | | | | | | | (20534) all_65_31 = all_65_75
% 176.47/27.30 | | | | | | | | | | | |
% 176.47/27.30 | | | | | | | | | | | | COMBINE_EQS: (20528), (20530) imply:
% 176.47/27.30 | | | | | | | | | | | | (20535) all_65_15 = all_65_73
% 176.47/27.30 | | | | | | | | | | | |
% 176.47/27.30 | | | | | | | | | | | | REDUCE: (713), (20535) imply:
% 176.47/27.30 | | | | | | | | | | | | (20536) op(e3, all_20_2) = all_65_73
% 176.47/27.30 | | | | | | | | | | | |
% 176.47/27.30 | | | | | | | | | | | | REDUCE: (20524), (20533) imply:
% 176.47/27.30 | | | | | | | | | | | | (20537) op(e2, all_61_13) = all_36_1
% 176.47/27.30 | | | | | | | | | | | |
% 176.47/27.30 | | | | | | | | | | | | REDUCE: (730), (20534) imply:
% 176.47/27.30 | | | | | | | | | | | | (20538) op(e2, all_20_2) = all_65_75
% 176.47/27.30 | | | | | | | | | | | |
% 176.47/27.30 | | | | | | | | | | | | BETA: splitting (110) gives:
% 176.47/27.30 | | | | | | | | | | | |
% 176.47/27.30 | | | | | | | | | | | | Case 1:
% 176.47/27.30 | | | | | | | | | | | | |
% 176.47/27.30 | | | | | | | | | | | | | (20539) ~ (all_42_2 = e1)
% 176.47/27.30 | | | | | | | | | | | | |
% 176.47/27.30 | | | | | | | | | | | | | REDUCE: (532), (20539) imply:
% 176.47/27.30 | | | | | | | | | | | | | (20540) ~ (all_20_2 = e1)
% 176.47/27.30 | | | | | | | | | | | | |
% 176.47/27.30 | | | | | | | | | | | | | BETA: splitting (256) gives:
% 176.47/27.30 | | | | | | | | | | | | |
% 176.47/27.30 | | | | | | | | | | | | | Case 1:
% 176.47/27.30 | | | | | | | | | | | | | |
% 176.47/27.30 | | | | | | | | | | | | | | (20541) all_63_15 = e3
% 176.47/27.30 | | | | | | | | | | | | | |
% 176.47/27.30 | | | | | | | | | | | | | | REF_CLOSE: (422), (20356), (20541) are inconsistent by
% 176.47/27.30 | | | | | | | | | | | | | | sub-proof #501.
% 176.47/27.30 | | | | | | | | | | | | | |
% 176.47/27.30 | | | | | | | | | | | | | Case 2:
% 176.47/27.30 | | | | | | | | | | | | | |
% 176.47/27.30 | | | | | | | | | | | | | | (20542) all_63_15 = e2 | all_63_15 = e1 | all_63_15 = e0
% 176.47/27.30 | | | | | | | | | | | | | |
% 176.47/27.30 | | | | | | | | | | | | | | BETA: splitting (20542) gives:
% 176.47/27.30 | | | | | | | | | | | | | |
% 176.47/27.30 | | | | | | | | | | | | | | Case 1:
% 176.47/27.30 | | | | | | | | | | | | | | |
% 176.47/27.30 | | | | | | | | | | | | | | | (20543) all_63_15 = e2
% 176.47/27.30 | | | | | | | | | | | | | | |
% 176.47/27.30 | | | | | | | | | | | | | | | REF_CLOSE: (422), (20354), (20543) are inconsistent by
% 176.47/27.30 | | | | | | | | | | | | | | | sub-proof #500.
% 176.47/27.30 | | | | | | | | | | | | | | |
% 176.47/27.30 | | | | | | | | | | | | | | Case 2:
% 176.47/27.30 | | | | | | | | | | | | | | |
% 176.47/27.30 | | | | | | | | | | | | | | | (20544) ~ (all_63_15 = e2)
% 176.47/27.30 | | | | | | | | | | | | | | | (20545) all_63_15 = e1 | all_63_15 = e0
% 176.47/27.30 | | | | | | | | | | | | | | |
% 176.47/27.30 | | | | | | | | | | | | | | | BETA: splitting (20545) gives:
% 176.47/27.30 | | | | | | | | | | | | | | |
% 176.47/27.30 | | | | | | | | | | | | | | | Case 1:
% 176.47/27.30 | | | | | | | | | | | | | | | |
% 176.47/27.30 | | | | | | | | | | | | | | | | (20546) all_63_15 = e1
% 176.47/27.30 | | | | | | | | | | | | | | | |
% 176.47/27.30 | | | | | | | | | | | | | | | | REF_CLOSE: (422), (20540), (20546) are inconsistent by
% 176.47/27.30 | | | | | | | | | | | | | | | | sub-proof #499.
% 176.47/27.30 | | | | | | | | | | | | | | | |
% 176.47/27.30 | | | | | | | | | | | | | | | Case 2:
% 176.47/27.30 | | | | | | | | | | | | | | | |
% 176.47/27.30 | | | | | | | | | | | | | | | | (20547) all_63_15 = e0
% 176.47/27.30 | | | | | | | | | | | | | | | |
% 176.47/27.30 | | | | | | | | | | | | | | | | COMBINE_EQS: (422), (20547) imply:
% 176.47/27.30 | | | | | | | | | | | | | | | | (20548) all_20_2 = e0
% 176.47/27.30 | | | | | | | | | | | | | | | |
% 176.47/27.30 | | | | | | | | | | | | | | | | SIMP: (20548) implies:
% 176.47/27.30 | | | | | | | | | | | | | | | | (20549) all_20_2 = e0
% 176.47/27.30 | | | | | | | | | | | | | | | |
% 176.47/27.30 | | | | | | | | | | | | | | | | REDUCE: (20517), (20549) imply:
% 176.47/27.30 | | | | | | | | | | | | | | | | (20550) op(all_36_1, e3) = e0
% 176.47/27.30 | | | | | | | | | | | | | | | |
% 176.47/27.30 | | | | | | | | | | | | | | | | REDUCE: (20536), (20549) imply:
% 176.47/27.30 | | | | | | | | | | | | | | | | (20551) op(e3, e0) = all_65_73
% 176.47/27.30 | | | | | | | | | | | | | | | |
% 176.47/27.30 | | | | | | | | | | | | | | | | REDUCE: (20538), (20549) imply:
% 176.47/27.30 | | | | | | | | | | | | | | | | (20552) op(e2, e0) = all_65_75
% 176.47/27.30 | | | | | | | | | | | | | | | |
% 176.47/27.30 | | | | | | | | | | | | | | | | REDUCE: (764), (20549) imply:
% 176.47/27.30 | | | | | | | | | | | | | | | | (20553) op(e0, e0) = all_65_78
% 176.47/27.30 | | | | | | | | | | | | | | | |
% 176.47/27.30 | | | | | | | | | | | | | | | | REDUCE: (76), (20549) imply:
% 176.47/27.30 | | | | | | | | | | | | | | | | (20554) op(e0, e0) = e0
% 176.47/27.30 | | | | | | | | | | | | | | | |
% 176.47/27.30 | | | | | | | | | | | | | | | | BETA: splitting (170) gives:
% 176.47/27.30 | | | | | | | | | | | | | | | |
% 176.47/27.30 | | | | | | | | | | | | | | | | Case 1:
% 176.47/27.30 | | | | | | | | | | | | | | | | |
% 176.47/27.30 | | | | | | | | | | | | | | | | | (20555) ( ~ (all_60_0 = e0) & op(e3, e3) = all_60_0 &
% 176.47/27.30 | | | | | | | | | | | | | | | | | $i(all_60_0)) | ( ~ (all_60_1 = e0) & op(e2, e2)
% 176.47/27.30 | | | | | | | | | | | | | | | | | = all_60_1 & $i(all_60_1))
% 176.47/27.30 | | | | | | | | | | | | | | | | |
% 176.47/27.30 | | | | | | | | | | | | | | | | | BETA: splitting (20555) gives:
% 176.47/27.30 | | | | | | | | | | | | | | | | |
% 176.47/27.30 | | | | | | | | | | | | | | | | | Case 1:
% 176.47/27.30 | | | | | | | | | | | | | | | | | |
% 176.47/27.30 | | | | | | | | | | | | | | | | | | (20556) ~ (all_60_0 = e0) & op(e3, e3) = all_60_0 &
% 176.47/27.30 | | | | | | | | | | | | | | | | | | $i(all_60_0)
% 176.47/27.30 | | | | | | | | | | | | | | | | | |
% 176.47/27.30 | | | | | | | | | | | | | | | | | | ALPHA: (20556) implies:
% 176.47/27.30 | | | | | | | | | | | | | | | | | | (20557) ~ (all_60_0 = e0)
% 176.47/27.30 | | | | | | | | | | | | | | | | | | (20558) op(e3, e3) = all_60_0
% 176.47/27.30 | | | | | | | | | | | | | | | | | |
% 176.47/27.30 | | | | | | | | | | | | | | | | | | REF_CLOSE: (50), (20491), (20557), (20558) are inconsistent
% 176.47/27.30 | | | | | | | | | | | | | | | | | | by sub-proof #152.
% 176.47/27.30 | | | | | | | | | | | | | | | | | |
% 176.47/27.30 | | | | | | | | | | | | | | | | | Case 2:
% 176.47/27.30 | | | | | | | | | | | | | | | | | |
% 176.47/27.30 | | | | | | | | | | | | | | | | | | (20559) ~ (all_60_1 = e0) & op(e2, e2) = all_60_1 &
% 176.47/27.30 | | | | | | | | | | | | | | | | | | $i(all_60_1)
% 176.47/27.30 | | | | | | | | | | | | | | | | | |
% 176.47/27.30 | | | | | | | | | | | | | | | | | | ALPHA: (20559) implies:
% 176.47/27.30 | | | | | | | | | | | | | | | | | | (20560) ~ (all_60_1 = e0)
% 176.47/27.30 | | | | | | | | | | | | | | | | | | (20561) op(e2, e2) = all_60_1
% 176.47/27.30 | | | | | | | | | | | | | | | | | |
% 176.47/27.30 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_13, all_65_75, e0,
% 176.47/27.30 | | | | | | | | | | | | | | | | | | e2, simplifying with (231), (20552) gives:
% 176.47/27.30 | | | | | | | | | | | | | | | | | | (20562) all_65_75 = all_61_13
% 176.47/27.30 | | | | | | | | | | | | | | | | | |
% 176.47/27.30 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_36_1, all_65_73, e0,
% 176.47/27.30 | | | | | | | | | | | | | | | | | | e3, simplifying with (20479), (20551) gives:
% 176.47/27.30 | | | | | | | | | | | | | | | | | | (20563) all_65_73 = all_36_1
% 176.47/27.30 | | | | | | | | | | | | | | | | | |
% 176.47/27.30 | | | | | | | | | | | | | | | | | | BETA: splitting (162) gives:
% 176.47/27.30 | | | | | | | | | | | | | | | | | |
% 176.47/27.30 | | | | | | | | | | | | | | | | | | Case 1:
% 176.47/27.30 | | | | | | | | | | | | | | | | | | |
% 176.47/27.30 | | | | | | | | | | | | | | | | | | | (20564) ~ (all_58_2 = e3)
% 176.47/27.30 | | | | | | | | | | | | | | | | | | |
% 176.47/27.30 | | | | | | | | | | | | | | | | | | | REDUCE: (478), (20564) imply:
% 176.47/27.30 | | | | | | | | | | | | | | | | | | | (20565) ~ (all_52_2 = e3)
% 176.47/27.30 | | | | | | | | | | | | | | | | | | |
% 176.47/27.30 | | | | | | | | | | | | | | | | | | | BETA: splitting (167) gives:
% 176.47/27.30 | | | | | | | | | | | | | | | | | | |
% 176.47/27.30 | | | | | | | | | | | | | | | | | | | Case 1:
% 176.47/27.30 | | | | | | | | | | | | | | | | | | | |
% 176.47/27.30 | | | | | | | | | | | | | | | | | | | | (20566) ~ (all_58_0 = e1)
% 176.47/27.30 | | | | | | | | | | | | | | | | | | | |
% 176.47/27.30 | | | | | | | | | | | | | | | | | | | | REDUCE: (484), (20566) imply:
% 176.47/27.30 | | | | | | | | | | | | | | | | | | | | (20567) ~ (all_52_0 = e1)
% 176.47/27.30 | | | | | | | | | | | | | | | | | | | |
% 176.47/27.30 | | | | | | | | | | | | | | | | | | | | BETA: splitting (161) gives:
% 176.47/27.30 | | | | | | | | | | | | | | | | | | | |
% 176.47/27.30 | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.47/27.30 | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.30 | | | | | | | | | | | | | | | | | | | | | (20568) ~ (all_58_2 = e2)
% 176.47/27.30 | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.30 | | | | | | | | | | | | | | | | | | | | | REDUCE: (478), (20568) imply:
% 176.47/27.30 | | | | | | | | | | | | | | | | | | | | | (20569) ~ (all_52_2 = e2)
% 176.47/27.30 | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.30 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (10), (13), (19), (49), (50),
% 176.47/27.30 | | | | | | | | | | | | | | | | | | | | | (124), (150), (151), (164), (166), (168), (231),
% 176.47/27.30 | | | | | | | | | | | | | | | | | | | | | (475), (478), (481), (484), (534), (536), (628),
% 176.47/27.30 | | | | | | | | | | | | | | | | | | | | | (630), (632), (714), (731), (17771), (20351),
% 176.47/27.30 | | | | | | | | | | | | | | | | | | | | | (20479), (20489), (20491), (20537), (20550),
% 176.47/27.30 | | | | | | | | | | | | | | | | | | | | | (20567), (20569) are inconsistent by sub-proof
% 176.47/27.30 | | | | | | | | | | | | | | | | | | | | | #58.
% 176.47/27.30 | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.30 | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.47/27.30 | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.30 | | | | | | | | | | | | | | | | | | | | | (20570) all_58_2 = e2
% 176.47/27.30 | | | | | | | | | | | | | | | | | | | | | (20571) all_58_1 = e1
% 176.47/27.30 | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.30 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (481), (20571) imply:
% 176.47/27.30 | | | | | | | | | | | | | | | | | | | | | (20572) all_52_1 = e1
% 176.47/27.30 | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.30 | | | | | | | | | | | | | | | | | | | | | SIMP: (20572) implies:
% 176.47/27.30 | | | | | | | | | | | | | | | | | | | | | (20573) all_52_1 = e1
% 176.47/27.30 | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.30 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (478), (20570) imply:
% 176.47/27.30 | | | | | | | | | | | | | | | | | | | | | (20574) all_52_2 = e2
% 176.47/27.30 | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.30 | | | | | | | | | | | | | | | | | | | | | REDUCE: (731), (20573) imply:
% 176.47/27.30 | | | | | | | | | | | | | | | | | | | | | (20575) op(e2, e1) = unit
% 176.47/27.30 | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.30 | | | | | | | | | | | | | | | | | | | | | REDUCE: (748), (20574) imply:
% 176.47/27.30 | | | | | | | | | | | | | | | | | | | | | (20576) op(e1, e2) = unit
% 176.47/27.30 | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.30 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_6, unit, e2, e1,
% 176.47/27.30 | | | | | | | | | | | | | | | | | | | | | simplifying with (229), (20576) gives:
% 176.47/27.30 | | | | | | | | | | | | | | | | | | | | | (20577) all_61_6 = unit
% 176.47/27.30 | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.30 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_9, unit, e1, e2,
% 176.47/27.30 | | | | | | | | | | | | | | | | | | | | | simplifying with (232), (20575) gives:
% 176.47/27.30 | | | | | | | | | | | | | | | | | | | | | (20578) all_61_9 = unit
% 176.47/27.30 | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.30 | | | | | | | | | | | | | | | | | | | | | REDUCE: (190), (20578) imply:
% 176.47/27.30 | | | | | | | | | | | | | | | | | | | | | (20579) ~ (all_61_8 = unit)
% 176.47/27.30 | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.30 | | | | | | | | | | | | | | | | | | | | | REDUCE: (184), (20578) imply:
% 176.47/27.30 | | | | | | | | | | | | | | | | | | | | | (20580) ~ (all_61_13 = unit)
% 176.47/27.30 | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.30 | | | | | | | | | | | | | | | | | | | | | SIMP: (20580) implies:
% 176.47/27.30 | | | | | | | | | | | | | | | | | | | | | (20581) ~ (all_61_13 = unit)
% 176.47/27.30 | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.30 | | | | | | | | | | | | | | | | | | | | | REDUCE: (20282), (20578) imply:
% 176.47/27.30 | | | | | | | | | | | | | | | | | | | | | (20582) ~ (unit = e0)
% 176.47/27.30 | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.30 | | | | | | | | | | | | | | | | | | | | | REDUCE: (672), (20577) imply:
% 176.47/27.30 | | | | | | | | | | | | | | | | | | | | | (20583) op(unit, e1) = all_65_38
% 176.47/27.30 | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.30 | | | | | | | | | | | | | | | | | | | | | REDUCE: (659), (20578) imply:
% 176.47/27.30 | | | | | | | | | | | | | | | | | | | | | (20584) op(unit, e2) = all_65_25
% 176.47/27.30 | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.30 | | | | | | | | | | | | | | | | | | | | | REDUCE: (20330), (20578) imply:
% 176.47/27.30 | | | | | | | | | | | | | | | | | | | | | (20585) op(unit, e1) = all_61_13
% 176.47/27.30 | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.30 | | | | | | | | | | | | | | | | | | | | | REDUCE: (724), (20577) imply:
% 176.47/27.30 | | | | | | | | | | | | | | | | | | | | | (20586) op(e2, unit) = all_65_25
% 176.47/27.30 | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.30 | | | | | | | | | | | | | | | | | | | | | REDUCE: (17773), (20578) imply:
% 176.47/27.30 | | | | | | | | | | | | | | | | | | | | | (20587) op(e2, unit) = all_61_8
% 176.47/27.30 | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.30 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_8, all_65_25, unit,
% 176.47/27.30 | | | | | | | | | | | | | | | | | | | | | e2, simplifying with (20586), (20587) gives:
% 176.47/27.30 | | | | | | | | | | | | | | | | | | | | | (20588) all_65_25 = all_61_8
% 176.47/27.30 | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.30 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e1, all_65_38, e1, unit,
% 176.47/27.30 | | | | | | | | | | | | | | | | | | | | | simplifying with (8), (20583) gives:
% 176.47/27.30 | | | | | | | | | | | | | | | | | | | | | (20589) all_65_38 = e1
% 176.47/27.30 | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.30 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_13, all_65_38, e1,
% 176.47/27.30 | | | | | | | | | | | | | | | | | | | | | unit, simplifying with (20583), (20585) gives:
% 176.47/27.30 | | | | | | | | | | | | | | | | | | | | | (20590) all_65_38 = all_61_13
% 176.47/27.30 | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.30 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e2, all_65_25, e2, unit,
% 176.47/27.30 | | | | | | | | | | | | | | | | | | | | | simplifying with (9), (20584) gives:
% 176.47/27.30 | | | | | | | | | | | | | | | | | | | | | (20591) all_65_25 = e2
% 176.47/27.30 | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.30 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (20352), (20579), (20581), (20582), (20588),
% 176.47/27.30 | | | | | | | | | | | | | | | | | | | | | (20589), (20590), (20591) are inconsistent by
% 176.47/27.30 | | | | | | | | | | | | | | | | | | | | | sub-proof #57.
% 176.47/27.30 | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.30 | | | | | | | | | | | | | | | | | | | | End of split
% 176.47/27.30 | | | | | | | | | | | | | | | | | | | |
% 176.47/27.30 | | | | | | | | | | | | | | | | | | | Case 2:
% 176.47/27.30 | | | | | | | | | | | | | | | | | | | |
% 176.47/27.30 | | | | | | | | | | | | | | | | | | | | (20592) all_58_2 = e3
% 176.47/27.30 | | | | | | | | | | | | | | | | | | | |
% 176.47/27.30 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (478), (20565), (20592) are inconsistent by
% 176.47/27.30 | | | | | | | | | | | | | | | | | | | | sub-proof #507.
% 176.47/27.30 | | | | | | | | | | | | | | | | | | | |
% 176.47/27.30 | | | | | | | | | | | | | | | | | | | End of split
% 176.47/27.30 | | | | | | | | | | | | | | | | | | |
% 176.47/27.30 | | | | | | | | | | | | | | | | | | Case 2:
% 176.47/27.30 | | | | | | | | | | | | | | | | | | |
% 176.47/27.30 | | | | | | | | | | | | | | | | | | | (20593) all_58_2 = e3
% 176.47/27.30 | | | | | | | | | | | | | | | | | | | (20594) all_58_0 = e1
% 176.47/27.30 | | | | | | | | | | | | | | | | | | |
% 176.47/27.30 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (484), (20594) imply:
% 176.47/27.30 | | | | | | | | | | | | | | | | | | | (20595) all_52_0 = e1
% 176.47/27.30 | | | | | | | | | | | | | | | | | | |
% 176.47/27.30 | | | | | | | | | | | | | | | | | | | SIMP: (20595) implies:
% 176.47/27.30 | | | | | | | | | | | | | | | | | | | (20596) all_52_0 = e1
% 176.47/27.30 | | | | | | | | | | | | | | | | | | |
% 176.47/27.30 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (478), (20593) imply:
% 176.47/27.30 | | | | | | | | | | | | | | | | | | | (20597) all_52_2 = e3
% 176.47/27.30 | | | | | | | | | | | | | | | | | | |
% 176.47/27.30 | | | | | | | | | | | | | | | | | | | REDUCE: (714), (20596) imply:
% 176.47/27.30 | | | | | | | | | | | | | | | | | | | (20598) op(e3, e1) = unit
% 176.47/27.30 | | | | | | | | | | | | | | | | | | |
% 176.47/27.30 | | | | | | | | | | | | | | | | | | | REDUCE: (748), (20597) imply:
% 176.47/27.30 | | | | | | | | | | | | | | | | | | | (20599) op(e1, e3) = unit
% 176.47/27.30 | | | | | | | | | | | | | | | | | | |
% 176.47/27.30 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_2, unit, e3, e1,
% 176.47/27.30 | | | | | | | | | | | | | | | | | | | simplifying with (230), (20599) gives:
% 176.47/27.30 | | | | | | | | | | | | | | | | | | | (20600) all_61_2 = unit
% 176.47/27.30 | | | | | | | | | | | | | | | | | | |
% 176.47/27.31 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_8, unit, e1, e3,
% 176.47/27.31 | | | | | | | | | | | | | | | | | | | simplifying with (236), (20598) gives:
% 176.47/27.31 | | | | | | | | | | | | | | | | | | | (20601) all_61_8 = unit
% 176.47/27.31 | | | | | | | | | | | | | | | | | | |
% 176.47/27.31 | | | | | | | | | | | | | | | | | | | REDUCE: (668), (20600) imply:
% 176.47/27.31 | | | | | | | | | | | | | | | | | | | (20602) op(unit, e1) = all_65_34
% 176.47/27.31 | | | | | | | | | | | | | | | | | | |
% 176.47/27.31 | | | | | | | | | | | | | | | | | | | REDUCE: (20521), (20601) imply:
% 176.47/27.31 | | | | | | | | | | | | | | | | | | | (20603) op(unit, e1) = all_36_1
% 176.47/27.31 | | | | | | | | | | | | | | | | | | |
% 176.47/27.31 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e1, all_65_34, e1, unit,
% 176.47/27.31 | | | | | | | | | | | | | | | | | | | simplifying with (8), (20602) gives:
% 176.47/27.31 | | | | | | | | | | | | | | | | | | | (20604) all_65_34 = e1
% 176.47/27.31 | | | | | | | | | | | | | | | | | | |
% 176.47/27.31 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_36_1, all_65_34, e1,
% 176.47/27.31 | | | | | | | | | | | | | | | | | | | unit, simplifying with (20602), (20603) gives:
% 176.47/27.31 | | | | | | | | | | | | | | | | | | | (20605) all_65_34 = all_36_1
% 176.47/27.31 | | | | | | | | | | | | | | | | | | |
% 176.47/27.31 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (20604), (20605) imply:
% 176.47/27.31 | | | | | | | | | | | | | | | | | | | (20606) all_36_1 = e1
% 176.47/27.31 | | | | | | | | | | | | | | | | | | |
% 176.47/27.31 | | | | | | | | | | | | | | | | | | | SIMP: (20606) implies:
% 176.47/27.31 | | | | | | | | | | | | | | | | | | | (20607) all_36_1 = e1
% 176.47/27.31 | | | | | | | | | | | | | | | | | | |
% 176.47/27.31 | | | | | | | | | | | | | | | | | | | REDUCE: (20516), (20607) imply:
% 176.47/27.31 | | | | | | | | | | | | | | | | | | | (20608) ~ (all_6_1 = e1)
% 176.47/27.31 | | | | | | | | | | | | | | | | | | |
% 176.47/27.31 | | | | | | | | | | | | | | | | | | | SIMP: (20608) implies:
% 176.47/27.31 | | | | | | | | | | | | | | | | | | | (20609) ~ (all_6_1 = e1)
% 176.47/27.31 | | | | | | | | | | | | | | | | | | |
% 176.47/27.31 | | | | | | | | | | | | | | | | | | | BETA: splitting (267) gives:
% 176.47/27.31 | | | | | | | | | | | | | | | | | | |
% 176.47/27.31 | | | | | | | | | | | | | | | | | | | Case 1:
% 176.47/27.31 | | | | | | | | | | | | | | | | | | | |
% 176.47/27.31 | | | | | | | | | | | | | | | | | | | | (20610) all_63_4 = e3
% 176.47/27.31 | | | | | | | | | | | | | | | | | | | |
% 176.47/27.31 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17738), (17758), (20610) are inconsistent by
% 176.47/27.31 | | | | | | | | | | | | | | | | | | | | sub-proof #94.
% 176.47/27.31 | | | | | | | | | | | | | | | | | | | |
% 176.47/27.31 | | | | | | | | | | | | | | | | | | | Case 2:
% 176.47/27.31 | | | | | | | | | | | | | | | | | | | |
% 176.47/27.31 | | | | | | | | | | | | | | | | | | | | (20611) all_63_4 = e2 | all_63_4 = e1 | all_63_4 = e0
% 176.47/27.31 | | | | | | | | | | | | | | | | | | | |
% 176.47/27.31 | | | | | | | | | | | | | | | | | | | | BETA: splitting (20611) gives:
% 176.47/27.31 | | | | | | | | | | | | | | | | | | | |
% 176.47/27.31 | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.47/27.31 | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.31 | | | | | | | | | | | | | | | | | | | | | (20612) all_63_4 = e2
% 176.47/27.31 | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.31 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (17738), (20612) imply:
% 176.47/27.31 | | | | | | | | | | | | | | | | | | | | | (20613) all_6_1 = e2
% 176.47/27.31 | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.31 | | | | | | | | | | | | | | | | | | | | | SIMP: (20613) implies:
% 176.47/27.31 | | | | | | | | | | | | | | | | | | | | | (20614) all_6_1 = e2
% 176.47/27.31 | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.31 | | | | | | | | | | | | | | | | | | | | | REDUCE: (20493), (20614) imply:
% 176.47/27.31 | | | | | | | | | | | | | | | | | | | | | (20615) op(e2, e2) = e0
% 176.47/27.31 | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.31 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (50), (20560), (20561), (20615) are inconsistent
% 176.47/27.31 | | | | | | | | | | | | | | | | | | | | | by sub-proof #158.
% 176.47/27.31 | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.31 | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.47/27.31 | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.31 | | | | | | | | | | | | | | | | | | | | | (20616) all_63_4 = e1 | all_63_4 = e0
% 176.47/27.31 | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.31 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17738), (20484), (20609), (20616) are
% 176.47/27.31 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #102.
% 176.47/27.31 | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.31 | | | | | | | | | | | | | | | | | | | | End of split
% 176.47/27.31 | | | | | | | | | | | | | | | | | | | |
% 176.47/27.31 | | | | | | | | | | | | | | | | | | | End of split
% 176.47/27.31 | | | | | | | | | | | | | | | | | | |
% 176.47/27.31 | | | | | | | | | | | | | | | | | | End of split
% 176.47/27.31 | | | | | | | | | | | | | | | | | |
% 176.47/27.31 | | | | | | | | | | | | | | | | | End of split
% 176.47/27.31 | | | | | | | | | | | | | | | | |
% 176.47/27.31 | | | | | | | | | | | | | | | | Case 2:
% 176.47/27.31 | | | | | | | | | | | | | | | | |
% 176.47/27.31 | | | | | | | | | | | | | | | | | (20617) ( ~ (all_60_2 = e0) & op(e1, e1) = all_60_2 &
% 176.47/27.31 | | | | | | | | | | | | | | | | | $i(all_60_2)) | ( ~ (all_60_3 = e0) & op(e0, e0)
% 176.47/27.31 | | | | | | | | | | | | | | | | | = all_60_3 & $i(all_60_3))
% 176.47/27.31 | | | | | | | | | | | | | | | | |
% 176.47/27.31 | | | | | | | | | | | | | | | | | BETA: splitting (20617) gives:
% 176.47/27.31 | | | | | | | | | | | | | | | | |
% 176.47/27.31 | | | | | | | | | | | | | | | | | Case 1:
% 176.47/27.31 | | | | | | | | | | | | | | | | | |
% 176.47/27.31 | | | | | | | | | | | | | | | | | | (20618) ~ (all_60_2 = e0) & op(e1, e1) = all_60_2 &
% 176.47/27.31 | | | | | | | | | | | | | | | | | | $i(all_60_2)
% 176.47/27.31 | | | | | | | | | | | | | | | | | |
% 176.47/27.31 | | | | | | | | | | | | | | | | | | REF_CLOSE: (50), (20292), (20618) are inconsistent by
% 176.47/27.31 | | | | | | | | | | | | | | | | | | sub-proof #157.
% 176.47/27.31 | | | | | | | | | | | | | | | | | |
% 176.47/27.31 | | | | | | | | | | | | | | | | | Case 2:
% 176.47/27.31 | | | | | | | | | | | | | | | | | |
% 176.47/27.31 | | | | | | | | | | | | | | | | | | (20619) ~ (all_60_3 = e0) & op(e0, e0) = all_60_3 &
% 176.47/27.31 | | | | | | | | | | | | | | | | | | $i(all_60_3)
% 176.47/27.31 | | | | | | | | | | | | | | | | | |
% 176.47/27.31 | | | | | | | | | | | | | | | | | | REF_CLOSE: (50), (20553), (20554), (20619) are inconsistent
% 176.47/27.31 | | | | | | | | | | | | | | | | | | by sub-proof #156.
% 176.47/27.31 | | | | | | | | | | | | | | | | | |
% 176.47/27.31 | | | | | | | | | | | | | | | | | End of split
% 176.47/27.31 | | | | | | | | | | | | | | | | |
% 176.47/27.31 | | | | | | | | | | | | | | | | End of split
% 176.47/27.31 | | | | | | | | | | | | | | | |
% 176.47/27.31 | | | | | | | | | | | | | | | End of split
% 176.47/27.31 | | | | | | | | | | | | | | |
% 176.47/27.31 | | | | | | | | | | | | | | End of split
% 176.47/27.31 | | | | | | | | | | | | | |
% 176.47/27.31 | | | | | | | | | | | | | End of split
% 176.47/27.31 | | | | | | | | | | | | |
% 176.47/27.31 | | | | | | | | | | | | Case 2:
% 176.47/27.31 | | | | | | | | | | | | |
% 176.47/27.31 | | | | | | | | | | | | | (20620) all_42_2 = e1
% 176.47/27.31 | | | | | | | | | | | | |
% 176.47/27.31 | | | | | | | | | | | | | COMBINE_EQS: (532), (20620) imply:
% 176.47/27.31 | | | | | | | | | | | | | (20621) all_20_2 = e1
% 176.47/27.31 | | | | | | | | | | | | |
% 176.47/27.31 | | | | | | | | | | | | | SIMP: (20621) implies:
% 176.47/27.31 | | | | | | | | | | | | | (20622) all_20_2 = e1
% 176.47/27.31 | | | | | | | | | | | | |
% 176.47/27.31 | | | | | | | | | | | | | REDUCE: (626), (20622) imply:
% 176.47/27.31 | | | | | | | | | | | | | (20623) ~ (all_61_13 = e1)
% 176.47/27.31 | | | | | | | | | | | | |
% 176.47/27.31 | | | | | | | | | | | | | REDUCE: (20515), (20622) imply:
% 176.47/27.31 | | | | | | | | | | | | | (20624) ~ (all_36_1 = e1)
% 176.47/27.31 | | | | | | | | | | | | |
% 176.47/27.31 | | | | | | | | | | | | | REDUCE: (694), (20622) imply:
% 176.47/27.31 | | | | | | | | | | | | | (20625) op(e1, e3) = all_65_73
% 176.47/27.31 | | | | | | | | | | | | |
% 176.47/27.31 | | | | | | | | | | | | | REDUCE: (695), (20622) imply:
% 176.47/27.31 | | | | | | | | | | | | | (20626) op(e1, e2) = all_65_75
% 176.47/27.31 | | | | | | | | | | | | |
% 176.47/27.31 | | | | | | | | | | | | | REDUCE: (20536), (20622) imply:
% 176.47/27.31 | | | | | | | | | | | | | (20627) op(e3, e1) = all_65_73
% 176.47/27.31 | | | | | | | | | | | | |
% 176.47/27.31 | | | | | | | | | | | | | REDUCE: (20538), (20622) imply:
% 176.47/27.31 | | | | | | | | | | | | | (20628) op(e2, e1) = all_65_75
% 176.47/27.31 | | | | | | | | | | | | |
% 176.47/27.31 | | | | | | | | | | | | | REDUCE: (20344), (20622) imply:
% 176.47/27.31 | | | | | | | | | | | | | (20629) op(e1, e1) = all_65_77
% 176.47/27.31 | | | | | | | | | | | | |
% 176.47/27.31 | | | | | | | | | | | | | REDUCE: (76), (20622) imply:
% 176.47/27.31 | | | | | | | | | | | | | (20630) op(e0, e0) = e1
% 176.47/27.31 | | | | | | | | | | | | |
% 176.47/27.31 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e0, all_65_77, e1, e1,
% 176.47/27.31 | | | | | | | | | | | | | simplifying with (20292), (20629) gives:
% 176.47/27.31 | | | | | | | | | | | | | (20631) all_65_77 = e0
% 176.47/27.31 | | | | | | | | | | | | |
% 176.47/27.31 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_6, all_65_75, e2,
% 176.47/27.31 | | | | | | | | | | | | | e1, simplifying with (229), (20626) gives:
% 176.47/27.31 | | | | | | | | | | | | | (20632) all_65_75 = all_61_6
% 176.47/27.31 | | | | | | | | | | | | |
% 176.47/27.31 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_2, all_65_73, e3,
% 176.47/27.31 | | | | | | | | | | | | | e1, simplifying with (230), (20625) gives:
% 176.47/27.31 | | | | | | | | | | | | | (20633) all_65_73 = all_61_2
% 176.47/27.31 | | | | | | | | | | | | |
% 176.47/27.31 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_9, all_65_75, e1,
% 176.47/27.31 | | | | | | | | | | | | | e2, simplifying with (232), (20628) gives:
% 176.47/27.31 | | | | | | | | | | | | | (20634) all_65_75 = all_61_9
% 176.47/27.31 | | | | | | | | | | | | |
% 176.47/27.31 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_8, all_65_73, e1,
% 176.47/27.31 | | | | | | | | | | | | | e3, simplifying with (236), (20627) gives:
% 176.47/27.31 | | | | | | | | | | | | | (20635) all_65_73 = all_61_8
% 176.47/27.31 | | | | | | | | | | | | |
% 176.47/27.31 | | | | | | | | | | | | | COMBINE_EQS: (20633), (20635) imply:
% 176.47/27.31 | | | | | | | | | | | | | (20636) all_61_2 = all_61_8
% 176.47/27.31 | | | | | | | | | | | | |
% 176.47/27.31 | | | | | | | | | | | | | SIMP: (20636) implies:
% 176.47/27.31 | | | | | | | | | | | | | (20637) all_61_2 = all_61_8
% 176.47/27.31 | | | | | | | | | | | | |
% 176.47/27.31 | | | | | | | | | | | | | COMBINE_EQS: (20632), (20634) imply:
% 176.47/27.31 | | | | | | | | | | | | | (20638) all_61_6 = all_61_9
% 176.47/27.31 | | | | | | | | | | | | |
% 176.47/27.31 | | | | | | | | | | | | | SIMP: (20638) implies:
% 176.47/27.31 | | | | | | | | | | | | | (20639) all_61_6 = all_61_9
% 176.47/27.31 | | | | | | | | | | | | |
% 176.47/27.31 | | | | | | | | | | | | | REDUCE: (668), (20637) imply:
% 176.47/27.31 | | | | | | | | | | | | | (20640) op(all_61_8, e1) = all_65_34
% 176.47/27.31 | | | | | | | | | | | | |
% 176.47/27.31 | | | | | | | | | | | | | REDUCE: (672), (20639) imply:
% 176.47/27.31 | | | | | | | | | | | | | (20641) op(all_61_9, e1) = all_65_38
% 176.47/27.31 | | | | | | | | | | | | |
% 176.47/27.31 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_13, all_65_38, e1,
% 176.47/27.31 | | | | | | | | | | | | | all_61_9, simplifying with (20330), (20641) gives:
% 176.47/27.31 | | | | | | | | | | | | | (20642) all_65_38 = all_61_13
% 176.47/27.31 | | | | | | | | | | | | |
% 176.47/27.31 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_36_1, all_65_34, e1,
% 176.47/27.31 | | | | | | | | | | | | | all_61_8, simplifying with (20521), (20640) gives:
% 176.47/27.31 | | | | | | | | | | | | | (20643) all_65_34 = all_36_1
% 176.47/27.31 | | | | | | | | | | | | |
% 176.47/27.31 | | | | | | | | | | | | | BETA: splitting (157) gives:
% 176.47/27.31 | | | | | | | | | | | | |
% 176.47/27.31 | | | | | | | | | | | | | Case 1:
% 176.47/27.31 | | | | | | | | | | | | | |
% 176.47/27.31 | | | | | | | | | | | | | | (20644) ~ (all_58_3 = e1)
% 176.47/27.31 | | | | | | | | | | | | | |
% 176.47/27.31 | | | | | | | | | | | | | | REDUCE: (475), (20644) imply:
% 176.47/27.31 | | | | | | | | | | | | | | (20645) ~ (all_52_3 = e1)
% 176.47/27.31 | | | | | | | | | | | | | |
% 176.47/27.31 | | | | | | | | | | | | | | BETA: splitting (160) gives:
% 176.47/27.31 | | | | | | | | | | | | | |
% 176.47/27.31 | | | | | | | | | | | | | | Case 1:
% 176.47/27.31 | | | | | | | | | | | | | | |
% 176.47/27.31 | | | | | | | | | | | | | | | (20646) ~ (all_58_2 = e0)
% 176.47/27.31 | | | | | | | | | | | | | | |
% 176.47/27.31 | | | | | | | | | | | | | | | REDUCE: (478), (20646) imply:
% 176.47/27.31 | | | | | | | | | | | | | | | (20647) ~ (all_52_2 = e0)
% 176.47/27.31 | | | | | | | | | | | | | | |
% 176.47/27.31 | | | | | | | | | | | | | | | BETA: splitting (161) gives:
% 176.47/27.31 | | | | | | | | | | | | | | |
% 176.47/27.31 | | | | | | | | | | | | | | | Case 1:
% 176.47/27.31 | | | | | | | | | | | | | | | |
% 176.47/27.31 | | | | | | | | | | | | | | | | (20648) ~ (all_58_2 = e2)
% 176.47/27.31 | | | | | | | | | | | | | | | |
% 176.47/27.31 | | | | | | | | | | | | | | | | REF_CLOSE: (3), (8), (50), (149), (162), (236), (478), (484),
% 176.47/27.31 | | | | | | | | | | | | | | | | (538), (714), (748), (20292), (20521), (20624),
% 176.47/27.31 | | | | | | | | | | | | | | | | (20630), (20647), (20648) are inconsistent by
% 176.47/27.31 | | | | | | | | | | | | | | | | sub-proof #119.
% 176.47/27.31 | | | | | | | | | | | | | | | |
% 176.47/27.31 | | | | | | | | | | | | | | | Case 2:
% 176.47/27.31 | | | | | | | | | | | | | | | |
% 176.47/27.31 | | | | | | | | | | | | | | | | (20649) all_58_1 = e1
% 176.47/27.31 | | | | | | | | | | | | | | | |
% 176.47/27.31 | | | | | | | | | | | | | | | | COMBINE_EQS: (481), (20649) imply:
% 176.47/27.31 | | | | | | | | | | | | | | | | (20650) all_52_1 = e1
% 176.47/27.31 | | | | | | | | | | | | | | | |
% 176.47/27.31 | | | | | | | | | | | | | | | | SIMP: (20650) implies:
% 176.47/27.31 | | | | | | | | | | | | | | | | (20651) all_52_1 = e1
% 176.47/27.31 | | | | | | | | | | | | | | | |
% 176.47/27.31 | | | | | | | | | | | | | | | | REDUCE: (731), (20651) imply:
% 176.47/27.31 | | | | | | | | | | | | | | | | (20652) op(e2, e1) = unit
% 176.47/27.31 | | | | | | | | | | | | | | | |
% 176.47/27.31 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_9, unit, e1, e2,
% 176.47/27.31 | | | | | | | | | | | | | | | | simplifying with (232), (20652) gives:
% 176.47/27.31 | | | | | | | | | | | | | | | | (20653) all_61_9 = unit
% 176.47/27.31 | | | | | | | | | | | | | | | |
% 176.47/27.31 | | | | | | | | | | | | | | | | REDUCE: (20330), (20653) imply:
% 176.47/27.31 | | | | | | | | | | | | | | | | (20654) op(unit, e1) = all_61_13
% 176.47/27.31 | | | | | | | | | | | | | | | |
% 176.47/27.31 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e1, all_61_13, e1, unit,
% 176.47/27.31 | | | | | | | | | | | | | | | | simplifying with (8), (20654) gives:
% 176.47/27.31 | | | | | | | | | | | | | | | | (20655) all_61_13 = e1
% 176.47/27.31 | | | | | | | | | | | | | | | |
% 176.47/27.31 | | | | | | | | | | | | | | | | REDUCE: (20623), (20655) imply:
% 176.47/27.31 | | | | | | | | | | | | | | | | (20656) $false
% 176.47/27.31 | | | | | | | | | | | | | | | |
% 176.47/27.31 | | | | | | | | | | | | | | | | CLOSE: (20656) is inconsistent.
% 176.47/27.31 | | | | | | | | | | | | | | | |
% 176.47/27.31 | | | | | | | | | | | | | | | End of split
% 176.47/27.31 | | | | | | | | | | | | | | |
% 176.47/27.31 | | | | | | | | | | | | | | Case 2:
% 176.47/27.31 | | | | | | | | | | | | | | |
% 176.47/27.31 | | | | | | | | | | | | | | | (20657) all_58_3 = e1
% 176.47/27.31 | | | | | | | | | | | | | | |
% 176.47/27.31 | | | | | | | | | | | | | | | REF_CLOSE: (475), (20645), (20657) are inconsistent by
% 176.47/27.31 | | | | | | | | | | | | | | | sub-proof #460.
% 176.47/27.31 | | | | | | | | | | | | | | |
% 176.47/27.31 | | | | | | | | | | | | | | End of split
% 176.47/27.31 | | | | | | | | | | | | | |
% 176.47/27.31 | | | | | | | | | | | | | Case 2:
% 176.47/27.31 | | | | | | | | | | | | | |
% 176.47/27.31 | | | | | | | | | | | | | | (20658) all_58_3 = e1
% 176.47/27.31 | | | | | | | | | | | | | | (20659) all_58_2 = e0
% 176.47/27.31 | | | | | | | | | | | | | |
% 176.47/27.31 | | | | | | | | | | | | | | COMBINE_EQS: (478), (20659) imply:
% 176.47/27.31 | | | | | | | | | | | | | | (20660) all_52_2 = e0
% 176.47/27.31 | | | | | | | | | | | | | |
% 176.47/27.31 | | | | | | | | | | | | | | SIMP: (20660) implies:
% 176.47/27.31 | | | | | | | | | | | | | | (20661) all_52_2 = e0
% 176.47/27.31 | | | | | | | | | | | | | |
% 176.47/27.31 | | | | | | | | | | | | | | COMBINE_EQS: (475), (20658) imply:
% 176.47/27.31 | | | | | | | | | | | | | | (20662) all_52_3 = e1
% 176.47/27.31 | | | | | | | | | | | | | |
% 176.47/27.31 | | | | | | | | | | | | | | REDUCE: (631), (20661) imply:
% 176.47/27.31 | | | | | | | | | | | | | | (20663) ~ (all_52_1 = e0)
% 176.47/27.31 | | | | | | | | | | | | | |
% 176.47/27.31 | | | | | | | | | | | | | | REDUCE: (632), (20662) imply:
% 176.47/27.31 | | | | | | | | | | | | | | (20664) ~ (all_52_1 = e1)
% 176.47/27.31 | | | | | | | | | | | | | |
% 176.47/27.31 | | | | | | | | | | | | | | REF_CLOSE: (9), (19), (50), (150), (165), (168), (481),
% 176.47/27.31 | | | | | | | | | | | | | | (484), (536), (714), (731), (17713), (17771),
% 176.47/27.31 | | | | | | | | | | | | | | (20351), (20489), (20663), (20664) are
% 176.47/27.31 | | | | | | | | | | | | | | inconsistent by sub-proof #76.
% 176.47/27.31 | | | | | | | | | | | | | |
% 176.47/27.31 | | | | | | | | | | | | | End of split
% 176.47/27.31 | | | | | | | | | | | | |
% 176.47/27.31 | | | | | | | | | | | | End of split
% 176.47/27.31 | | | | | | | | | | | |
% 176.47/27.31 | | | | | | | | | | | End of split
% 176.47/27.31 | | | | | | | | | | |
% 176.47/27.31 | | | | | | | | | | End of split
% 176.47/27.31 | | | | | | | | | |
% 176.47/27.31 | | | | | | | | | Case 2:
% 176.47/27.31 | | | | | | | | | |
% 176.47/27.31 | | | | | | | | | | (20665) all_28_2 = e3
% 176.47/27.31 | | | | | | | | | | (20666) op(e0, e3) = all_28_1 & $i(all_28_1) & ( ~
% 176.47/27.31 | | | | | | | | | | (all_28_1 = e2) | ( ~ (all_28_0 = e1) & op(e2,
% 176.47/27.31 | | | | | | | | | | e0) = all_28_0 & $i(all_28_0)))
% 176.47/27.31 | | | | | | | | | |
% 176.47/27.31 | | | | | | | | | | ALPHA: (20666) implies:
% 176.47/27.31 | | | | | | | | | | (20667) op(e0, e3) = all_28_1
% 176.47/27.31 | | | | | | | | | |
% 176.47/27.31 | | | | | | | | | | COMBINE_EQS: (563), (20665) imply:
% 176.47/27.31 | | | | | | | | | | (20668) all_20_2 = e3
% 176.47/27.31 | | | | | | | | | |
% 176.47/27.31 | | | | | | | | | | SIMP: (20668) implies:
% 176.47/27.31 | | | | | | | | | | (20669) all_20_2 = e3
% 176.47/27.31 | | | | | | | | | |
% 176.47/27.31 | | | | | | | | | | REDUCE: (694), (20669) imply:
% 176.47/27.31 | | | | | | | | | | (20670) op(e3, e3) = all_65_73
% 176.47/27.31 | | | | | | | | | |
% 176.47/27.31 | | | | | | | | | | REDUCE: (695), (20669) imply:
% 176.47/27.31 | | | | | | | | | | (20671) op(e3, e2) = all_65_75
% 176.47/27.31 | | | | | | | | | |
% 176.47/27.31 | | | | | | | | | | REDUCE: (696), (20669) imply:
% 176.47/27.31 | | | | | | | | | | (20672) op(e3, e1) = all_65_77
% 176.47/27.31 | | | | | | | | | |
% 176.47/27.31 | | | | | | | | | | REDUCE: (697), (20669) imply:
% 176.47/27.31 | | | | | | | | | | (20673) op(e3, e0) = all_65_78
% 176.47/27.31 | | | | | | | | | |
% 176.47/27.31 | | | | | | | | | | REDUCE: (20331), (20669) imply:
% 176.47/27.31 | | | | | | | | | | (20674) op(all_8_1, e1) = e3
% 176.47/27.31 | | | | | | | | | |
% 176.47/27.31 | | | | | | | | | | REDUCE: (713), (20669) imply:
% 176.47/27.31 | | | | | | | | | | (20675) op(e3, e3) = all_65_15
% 176.47/27.31 | | | | | | | | | |
% 176.47/27.31 | | | | | | | | | | REDUCE: (730), (20669) imply:
% 176.47/27.31 | | | | | | | | | | (20676) op(e2, e3) = all_65_31
% 176.47/27.31 | | | | | | | | | |
% 176.47/27.31 | | | | | | | | | | REDUCE: (20344), (20669) imply:
% 176.47/27.31 | | | | | | | | | | (20677) op(e1, e3) = all_65_77
% 176.47/27.31 | | | | | | | | | |
% 176.47/27.31 | | | | | | | | | | REDUCE: (764), (20669) imply:
% 176.47/27.31 | | | | | | | | | | (20678) op(e0, e3) = all_65_78
% 176.47/27.31 | | | | | | | | | |
% 176.47/27.31 | | | | | | | | | | REDUCE: (76), (20669) imply:
% 176.47/27.31 | | | | | | | | | | (20679) op(e0, e0) = e3
% 176.47/27.31 | | | | | | | | | |
% 176.47/27.31 | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_3, all_65_78, e3,
% 176.47/27.31 | | | | | | | | | | e0, simplifying with (226), (20678) gives:
% 176.47/27.31 | | | | | | | | | | (20680) all_65_78 = all_61_3
% 176.47/27.31 | | | | | | | | | |
% 176.47/27.31 | | | | | | | | | | GROUND_INST: instantiating (50) with all_28_1, all_65_78, e3,
% 176.47/27.31 | | | | | | | | | | e0, simplifying with (20667), (20678) gives:
% 176.47/27.31 | | | | | | | | | | (20681) all_65_78 = all_28_1
% 176.47/27.31 | | | | | | | | | |
% 176.47/27.31 | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_2, all_65_77, e3,
% 176.47/27.31 | | | | | | | | | | e1, simplifying with (230), (20677) gives:
% 176.47/27.31 | | | | | | | | | | (20682) all_65_77 = all_61_2
% 176.47/27.31 | | | | | | | | | |
% 176.47/27.31 | | | | | | | | | | GROUND_INST: instantiating (50) with all_6_1, all_65_31, e3,
% 176.47/27.31 | | | | | | | | | | e2, simplifying with (17699), (20676) gives:
% 176.47/27.31 | | | | | | | | | | (20683) all_65_31 = all_6_1
% 176.47/27.31 | | | | | | | | | |
% 176.47/27.31 | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_12, all_65_78, e0,
% 176.47/27.31 | | | | | | | | | | e3, simplifying with (235), (20673) gives:
% 176.47/27.31 | | | | | | | | | | (20684) all_65_78 = all_61_12
% 176.47/27.31 | | | | | | | | | |
% 176.47/27.31 | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_8, all_65_77, e1,
% 176.47/27.31 | | | | | | | | | | e3, simplifying with (236), (20672) gives:
% 176.47/27.31 | | | | | | | | | | (20685) all_65_77 = all_61_8
% 176.47/27.31 | | | | | | | | | |
% 176.47/27.31 | | | | | | | | | | GROUND_INST: instantiating (50) with all_6_1, all_65_75, e2,
% 176.47/27.31 | | | | | | | | | | e3, simplifying with (17771), (20671) gives:
% 176.47/27.31 | | | | | | | | | | (20686) all_65_75 = all_6_1
% 176.47/27.31 | | | | | | | | | |
% 176.47/27.31 | | | | | | | | | | GROUND_INST: instantiating (50) with all_14_2, all_65_15, e3,
% 176.47/27.31 | | | | | | | | | | e3, simplifying with (67), (20675) gives:
% 176.47/27.31 | | | | | | | | | | (20687) all_65_15 = all_14_2
% 176.47/27.31 | | | | | | | | | |
% 176.47/27.31 | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_73, all_65_15, e3,
% 176.47/27.31 | | | | | | | | | | e3, simplifying with (20670), (20675) gives:
% 176.47/27.31 | | | | | | | | | | (20688) all_65_15 = all_65_73
% 176.47/27.31 | | | | | | | | | |
% 176.47/27.31 | | | | | | | | | | COMBINE_EQS: (20687), (20688) imply:
% 176.47/27.31 | | | | | | | | | | (20689) all_65_73 = all_14_2
% 176.47/27.31 | | | | | | | | | |
% 176.47/27.31 | | | | | | | | | | COMBINE_EQS: (20682), (20685) imply:
% 176.47/27.31 | | | | | | | | | | (20690) all_61_2 = all_61_8
% 176.47/27.31 | | | | | | | | | |
% 176.47/27.31 | | | | | | | | | | SIMP: (20690) implies:
% 176.47/27.31 | | | | | | | | | | (20691) all_61_2 = all_61_8
% 176.47/27.31 | | | | | | | | | |
% 176.47/27.31 | | | | | | | | | | COMBINE_EQS: (20680), (20681) imply:
% 176.47/27.31 | | | | | | | | | | (20692) all_61_3 = all_28_1
% 176.47/27.31 | | | | | | | | | |
% 176.47/27.31 | | | | | | | | | | SIMP: (20692) implies:
% 176.47/27.31 | | | | | | | | | | (20693) all_61_3 = all_28_1
% 176.47/27.31 | | | | | | | | | |
% 176.47/27.31 | | | | | | | | | | COMBINE_EQS: (20681), (20684) imply:
% 176.47/27.31 | | | | | | | | | | (20694) all_61_12 = all_28_1
% 176.47/27.31 | | | | | | | | | |
% 176.47/27.31 | | | | | | | | | | SIMP: (20694) implies:
% 176.47/27.31 | | | | | | | | | | (20695) all_61_12 = all_28_1
% 176.47/27.31 | | | | | | | | | |
% 176.47/27.31 | | | | | | | | | | COMBINE_EQS: (499), (20691) imply:
% 176.47/27.31 | | | | | | | | | | (20696) all_63_8 = all_61_8
% 176.47/27.31 | | | | | | | | | |
% 176.47/27.31 | | | | | | | | | | REDUCE: (207), (20693) imply:
% 176.47/27.31 | | | | | | | | | | (20697) ~ (all_61_7 = all_28_1)
% 176.47/27.31 | | | | | | | | | |
% 176.47/27.31 | | | | | | | | | | SIMP: (20697) implies:
% 176.47/27.31 | | | | | | | | | | (20698) ~ (all_61_7 = all_28_1)
% 176.47/27.31 | | | | | | | | | |
% 176.47/27.31 | | | | | | | | | | REDUCE: (20324), (20695) imply:
% 176.47/27.31 | | | | | | | | | | (20699) ~ (all_28_1 = all_8_1)
% 176.47/27.31 | | | | | | | | | |
% 176.47/27.31 | | | | | | | | | | REDUCE: (17767), (20691) imply:
% 176.47/27.31 | | | | | | | | | | (20700) op(all_61_6, e2) = all_61_8
% 176.47/27.31 | | | | | | | | | |
% 176.47/27.31 | | | | | | | | | | REDUCE: (17768), (20693) imply:
% 176.47/27.31 | | | | | | | | | | (20701) op(all_61_7, e2) = all_28_1
% 176.47/27.31 | | | | | | | | | |
% 176.47/27.31 | | | | | | | | | | REDUCE: (665), (20683) imply:
% 176.47/27.31 | | | | | | | | | | (20702) op(all_61_13, e0) = all_6_1
% 176.47/27.31 | | | | | | | | | |
% 176.47/27.31 | | | | | | | | | | BETA: splitting (101) gives:
% 176.47/27.31 | | | | | | | | | |
% 176.47/27.31 | | | | | | | | | | Case 1:
% 176.47/27.31 | | | | | | | | | | |
% 176.47/27.31 | | | | | | | | | | | (20703) ~ (all_36_2 = e0)
% 176.47/27.31 | | | | | | | | | | |
% 176.47/27.31 | | | | | | | | | | | REDUCE: (557), (20703) imply:
% 176.47/27.31 | | | | | | | | | | | (20704) ~ (all_14_2 = e0)
% 176.47/27.31 | | | | | | | | | | |
% 176.47/27.31 | | | | | | | | | | | BETA: splitting (107) gives:
% 176.47/27.31 | | | | | | | | | | |
% 176.47/27.31 | | | | | | | | | | | Case 1:
% 176.47/27.31 | | | | | | | | | | | |
% 176.47/27.31 | | | | | | | | | | | | (20705) ~ (all_40_2 = e1)
% 176.47/27.31 | | | | | | | | | | | |
% 176.47/27.31 | | | | | | | | | | | | REDUCE: (553), (20705) imply:
% 176.47/27.31 | | | | | | | | | | | | (20706) ~ (all_14_2 = e1)
% 176.47/27.31 | | | | | | | | | | | |
% 176.47/27.31 | | | | | | | | | | | | REF_CLOSE: (10), (50), (67), (151), (159), (162), (165),
% 176.47/27.31 | | | | | | | | | | | | (166), (167), (168), (226), (230), (234), (235),
% 176.47/27.31 | | | | | | | | | | | | (236), (237), (271), (475), (478), (481), (484),
% 176.47/27.31 | | | | | | | | | | | | (534), (588), (599), (601), (603), (635), (636),
% 176.47/27.31 | | | | | | | | | | | | (637), (638), (642), (646), (650), (666), (682),
% 176.47/27.31 | | | | | | | | | | | | (698), (714), (715), (731), (732), (748), (749),
% 176.47/27.31 | | | | | | | | | | | | (765), (20351), (20353), (20704), (20706) are
% 176.47/27.31 | | | | | | | | | | | | inconsistent by sub-proof #502.
% 176.47/27.31 | | | | | | | | | | | |
% 176.47/27.31 | | | | | | | | | | | Case 2:
% 176.47/27.31 | | | | | | | | | | | |
% 176.47/27.31 | | | | | | | | | | | | (20707) all_40_2 = e1
% 176.47/27.31 | | | | | | | | | | | | (20708) op(e3, e1) = all_40_1 & $i(all_40_1) & ( ~
% 176.47/27.31 | | | | | | | | | | | | (all_40_1 = e0) | ( ~ (all_40_0 = e2) & op(e0,
% 176.47/27.31 | | | | | | | | | | | | e3) = all_40_0 & $i(all_40_0)))
% 176.47/27.31 | | | | | | | | | | | |
% 176.47/27.31 | | | | | | | | | | | | ALPHA: (20708) implies:
% 176.47/27.31 | | | | | | | | | | | | (20709) op(e3, e1) = all_40_1
% 176.47/27.31 | | | | | | | | | | | |
% 176.47/27.31 | | | | | | | | | | | | COMBINE_EQS: (553), (20707) imply:
% 176.47/27.31 | | | | | | | | | | | | (20710) all_14_2 = e1
% 176.47/27.31 | | | | | | | | | | | |
% 176.47/27.31 | | | | | | | | | | | | COMBINE_EQS: (466), (20710) imply:
% 176.47/27.31 | | | | | | | | | | | | (20711) all_48_2 = e1
% 176.47/27.31 | | | | | | | | | | | |
% 176.47/27.31 | | | | | | | | | | | | REDUCE: (601), (20710) imply:
% 176.47/27.31 | | | | | | | | | | | | (20712) ~ (all_61_8 = e1)
% 176.47/27.31 | | | | | | | | | | | |
% 176.47/27.31 | | | | | | | | | | | | REDUCE: (20353), (20710) imply:
% 176.47/27.31 | | | | | | | | | | | | (20713) ~ (e2 = e1)
% 176.47/27.31 | | | | | | | | | | | |
% 176.47/27.31 | | | | | | | | | | | | REDUCE: (17789), (20710) imply:
% 176.47/27.31 | | | | | | | | | | | | (20714) op(e1, e2) = all_65_16
% 176.47/27.31 | | | | | | | | | | | |
% 176.47/27.31 | | | | | | | | | | | | REDUCE: (17764), (20710) imply:
% 176.47/27.31 | | | | | | | | | | | | (20715) op(all_6_1, e2) = e1
% 176.47/27.31 | | | | | | | | | | | |
% 176.47/27.31 | | | | | | | | | | | | REDUCE: (698), (20710) imply:
% 176.47/27.31 | | | | | | | | | | | | (20716) op(e3, e1) = all_65_0
% 176.47/27.31 | | | | | | | | | | | |
% 176.47/27.31 | | | | | | | | | | | | REDUCE: (715), (20710) imply:
% 176.47/27.31 | | | | | | | | | | | | (20717) op(e2, e1) = all_65_16
% 176.47/27.31 | | | | | | | | | | | |
% 176.47/27.31 | | | | | | | | | | | | BETA: splitting (119) gives:
% 176.47/27.31 | | | | | | | | | | | |
% 176.47/27.31 | | | | | | | | | | | | Case 1:
% 176.47/27.31 | | | | | | | | | | | | |
% 176.47/27.31 | | | | | | | | | | | | | (20718) ~ (all_48_2 = e1)
% 176.47/27.31 | | | | | | | | | | | | |
% 176.47/27.31 | | | | | | | | | | | | | REDUCE: (20711), (20718) imply:
% 176.47/27.31 | | | | | | | | | | | | | (20719) $false
% 176.47/27.31 | | | | | | | | | | | | |
% 176.47/27.31 | | | | | | | | | | | | | CLOSE: (20719) is inconsistent.
% 176.47/27.31 | | | | | | | | | | | | |
% 176.47/27.31 | | | | | | | | | | | | Case 2:
% 176.47/27.31 | | | | | | | | | | | | |
% 176.47/27.31 | | | | | | | | | | | | | (20720) op(e3, e1) = all_48_1 & $i(all_48_1) & ( ~
% 176.47/27.31 | | | | | | | | | | | | | (all_48_1 = e2) | ( ~ (all_48_0 = e0) & op(e2,
% 176.47/27.31 | | | | | | | | | | | | | e3) = all_48_0 & $i(all_48_0)))
% 176.47/27.31 | | | | | | | | | | | | |
% 176.47/27.31 | | | | | | | | | | | | | ALPHA: (20720) implies:
% 176.47/27.31 | | | | | | | | | | | | | (20721) op(e3, e1) = all_48_1
% 176.47/27.31 | | | | | | | | | | | | |
% 176.47/27.31 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_6, all_65_16, e2,
% 176.47/27.31 | | | | | | | | | | | | | e1, simplifying with (229), (20714) gives:
% 176.47/27.31 | | | | | | | | | | | | | (20722) all_65_16 = all_61_6
% 176.47/27.31 | | | | | | | | | | | | |
% 176.47/27.31 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_9, all_65_16, e1,
% 176.47/27.31 | | | | | | | | | | | | | e2, simplifying with (232), (20717) gives:
% 176.47/27.31 | | | | | | | | | | | | | (20723) all_65_16 = all_61_9
% 176.47/27.31 | | | | | | | | | | | | |
% 176.47/27.31 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_8, all_48_1, e1,
% 176.47/27.31 | | | | | | | | | | | | | e3, simplifying with (236), (20721) gives:
% 176.47/27.31 | | | | | | | | | | | | | (20724) all_61_8 = all_48_1
% 176.47/27.31 | | | | | | | | | | | | |
% 176.47/27.31 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_8, all_65_0, e1,
% 176.47/27.31 | | | | | | | | | | | | | e3, simplifying with (236), (20716) gives:
% 176.47/27.31 | | | | | | | | | | | | | (20725) all_65_0 = all_61_8
% 176.47/27.31 | | | | | | | | | | | | |
% 176.47/27.31 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_40_1, all_65_0, e1,
% 176.47/27.31 | | | | | | | | | | | | | e3, simplifying with (20709), (20716) gives:
% 176.47/27.31 | | | | | | | | | | | | | (20726) all_65_0 = all_40_1
% 176.47/27.31 | | | | | | | | | | | | |
% 176.47/27.31 | | | | | | | | | | | | | COMBINE_EQS: (20725), (20726) imply:
% 176.47/27.31 | | | | | | | | | | | | | (20727) all_61_8 = all_40_1
% 176.47/27.31 | | | | | | | | | | | | |
% 176.47/27.31 | | | | | | | | | | | | | SIMP: (20727) implies:
% 176.47/27.31 | | | | | | | | | | | | | (20728) all_61_8 = all_40_1
% 176.47/27.31 | | | | | | | | | | | | |
% 176.47/27.31 | | | | | | | | | | | | | COMBINE_EQS: (20722), (20723) imply:
% 176.47/27.31 | | | | | | | | | | | | | (20729) all_61_6 = all_61_9
% 176.47/27.31 | | | | | | | | | | | | |
% 176.47/27.31 | | | | | | | | | | | | | COMBINE_EQS: (20724), (20728) imply:
% 176.47/27.31 | | | | | | | | | | | | | (20730) all_48_1 = all_40_1
% 176.47/27.31 | | | | | | | | | | | | |
% 176.47/27.31 | | | | | | | | | | | | | COMBINE_EQS: (20696), (20728) imply:
% 176.47/27.31 | | | | | | | | | | | | | (20731) all_63_8 = all_40_1
% 176.47/27.31 | | | | | | | | | | | | |
% 176.47/27.31 | | | | | | | | | | | | | REDUCE: (195), (20729) imply:
% 176.47/27.31 | | | | | | | | | | | | | (20732) ~ (all_61_7 = all_61_9)
% 176.47/27.31 | | | | | | | | | | | | |
% 176.47/27.31 | | | | | | | | | | | | | SIMP: (20732) implies:
% 176.47/27.31 | | | | | | | | | | | | | (20733) ~ (all_61_7 = all_61_9)
% 176.47/27.31 | | | | | | | | | | | | |
% 176.47/27.31 | | | | | | | | | | | | | REDUCE: (190), (20728) imply:
% 176.47/27.31 | | | | | | | | | | | | | (20734) ~ (all_61_9 = all_40_1)
% 176.47/27.31 | | | | | | | | | | | | |
% 176.47/27.31 | | | | | | | | | | | | | SIMP: (20734) implies:
% 176.47/27.31 | | | | | | | | | | | | | (20735) ~ (all_61_9 = all_40_1)
% 176.47/27.31 | | | | | | | | | | | | |
% 176.47/27.31 | | | | | | | | | | | | | REDUCE: (20322), (20728) imply:
% 176.47/27.31 | | | | | | | | | | | | | (20736) ~ (all_40_1 = all_8_1)
% 176.47/27.31 | | | | | | | | | | | | |
% 176.47/27.31 | | | | | | | | | | | | | REDUCE: (17753), (20728) imply:
% 176.47/27.31 | | | | | | | | | | | | | (20737) ~ (all_40_1 = all_6_1)
% 176.47/27.31 | | | | | | | | | | | | |
% 176.47/27.31 | | | | | | | | | | | | | REDUCE: (20712), (20728) imply:
% 176.47/27.31 | | | | | | | | | | | | | (20738) ~ (all_40_1 = e1)
% 176.47/27.31 | | | | | | | | | | | | |
% 176.47/27.31 | | | | | | | | | | | | | REDUCE: (20700), (20728), (20729) imply:
% 176.47/27.31 | | | | | | | | | | | | | (20739) op(all_61_9, e2) = all_40_1
% 176.47/27.31 | | | | | | | | | | | | |
% 176.47/27.31 | | | | | | | | | | | | | REDUCE: (672), (20729) imply:
% 176.47/27.31 | | | | | | | | | | | | | (20740) op(all_61_9, e1) = all_65_38
% 176.47/27.31 | | | | | | | | | | | | |
% 176.47/27.31 | | | | | | | | | | | | | REDUCE: (20336), (20729) imply:
% 176.47/27.31 | | | | | | | | | | | | | (20741) op(e1, all_61_9) = all_61_7
% 176.47/27.31 | | | | | | | | | | | | |
% 176.47/27.31 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_38, all_61_7,
% 176.47/27.31 | | | | | | | | | | | | | all_61_9, e1, simplifying with (738), (20741)
% 176.47/27.31 | | | | | | | | | | | | | gives:
% 176.47/27.31 | | | | | | | | | | | | | (20742) all_65_38 = all_61_7
% 176.47/27.31 | | | | | | | | | | | | |
% 176.47/27.31 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_13, all_65_38, e1,
% 176.47/27.31 | | | | | | | | | | | | | all_61_9, simplifying with (20330), (20740) gives:
% 176.47/27.31 | | | | | | | | | | | | | (20743) all_65_38 = all_61_13
% 176.47/27.31 | | | | | | | | | | | | |
% 176.47/27.31 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_25, all_40_1, e2,
% 176.47/27.31 | | | | | | | | | | | | | all_61_9, simplifying with (659), (20739) gives:
% 176.47/27.31 | | | | | | | | | | | | | (20744) all_65_25 = all_40_1
% 176.47/27.31 | | | | | | | | | | | | |
% 176.47/27.31 | | | | | | | | | | | | | COMBINE_EQS: (20742), (20743) imply:
% 176.47/27.31 | | | | | | | | | | | | | (20745) all_61_7 = all_61_13
% 176.47/27.31 | | | | | | | | | | | | |
% 176.47/27.31 | | | | | | | | | | | | | SIMP: (20745) implies:
% 176.47/27.31 | | | | | | | | | | | | | (20746) all_61_7 = all_61_13
% 176.47/27.31 | | | | | | | | | | | | |
% 176.47/27.31 | | | | | | | | | | | | | REDUCE: (20733), (20746) imply:
% 176.47/27.31 | | | | | | | | | | | | | (20747) ~ (all_61_9 = all_61_13)
% 176.47/27.31 | | | | | | | | | | | | |
% 176.47/27.31 | | | | | | | | | | | | | REDUCE: (20698), (20746) imply:
% 176.47/27.31 | | | | | | | | | | | | | (20748) ~ (all_61_13 = all_28_1)
% 176.47/27.31 | | | | | | | | | | | | |
% 176.47/27.31 | | | | | | | | | | | | | REDUCE: (20701), (20746) imply:
% 176.47/27.31 | | | | | | | | | | | | | (20749) op(all_61_13, e2) = all_28_1
% 176.47/27.31 | | | | | | | | | | | | |
% 176.47/27.31 | | | | | | | | | | | | | REDUCE: (689), (20746) imply:
% 176.47/27.31 | | | | | | | | | | | | | (20750) op(all_61_13, e0) = all_65_63
% 176.47/27.31 | | | | | | | | | | | | |
% 176.47/27.31 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_6_1, all_65_63, e0,
% 176.47/27.31 | | | | | | | | | | | | | all_61_13, simplifying with (20702), (20750)
% 176.47/27.31 | | | | | | | | | | | | | gives:
% 176.47/27.31 | | | | | | | | | | | | | (20751) all_65_63 = all_6_1
% 176.47/27.31 | | | | | | | | | | | | |
% 176.47/27.31 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_29, all_28_1, e2,
% 176.47/27.31 | | | | | | | | | | | | | all_61_13, simplifying with (663), (20749) gives:
% 176.47/27.31 | | | | | | | | | | | | | (20752) all_65_29 = all_28_1
% 176.47/27.31 | | | | | | | | | | | | |
% 176.47/27.31 | | | | | | | | | | | | | BETA: splitting (161) gives:
% 176.47/27.31 | | | | | | | | | | | | |
% 176.47/27.31 | | | | | | | | | | | | | Case 1:
% 176.47/27.31 | | | | | | | | | | | | | |
% 176.47/27.31 | | | | | | | | | | | | | | (20753) ~ (all_58_2 = e2)
% 176.47/27.31 | | | | | | | | | | | | | |
% 176.47/27.31 | | | | | | | | | | | | | | REDUCE: (478), (20753) imply:
% 176.47/27.32 | | | | | | | | | | | | | | (20754) ~ (all_52_2 = e2)
% 176.47/27.32 | | | | | | | | | | | | | |
% 176.47/27.32 | | | | | | | | | | | | | | BETA: splitting (164) gives:
% 176.47/27.32 | | | | | | | | | | | | | |
% 176.47/27.32 | | | | | | | | | | | | | | Case 1:
% 176.47/27.32 | | | | | | | | | | | | | | |
% 176.47/27.32 | | | | | | | | | | | | | | | (20755) ~ (all_58_1 = e1)
% 176.47/27.32 | | | | | | | | | | | | | | |
% 176.47/27.32 | | | | | | | | | | | | | | | REDUCE: (481), (20755) imply:
% 176.47/27.32 | | | | | | | | | | | | | | | (20756) ~ (all_52_1 = e1)
% 176.47/27.32 | | | | | | | | | | | | | | |
% 176.47/27.32 | | | | | | | | | | | | | | | BETA: splitting (158) gives:
% 176.47/27.32 | | | | | | | | | | | | | | |
% 176.47/27.32 | | | | | | | | | | | | | | | Case 1:
% 176.47/27.32 | | | | | | | | | | | | | | | |
% 176.47/27.32 | | | | | | | | | | | | | | | | (20757) ~ (all_58_3 = e2)
% 176.47/27.32 | | | | | | | | | | | | | | | |
% 176.47/27.32 | | | | | | | | | | | | | | | | REDUCE: (475), (20757) imply:
% 176.47/27.32 | | | | | | | | | | | | | | | | (20758) ~ (all_52_3 = e2)
% 176.47/27.32 | | | | | | | | | | | | | | | |
% 176.47/27.32 | | | | | | | | | | | | | | | | REF_CLOSE: (9), (20), (50), (150), (163), (165), (475),
% 176.47/27.32 | | | | | | | | | | | | | | | | (481), (484), (536), (714), (731), (17713),
% 176.47/27.32 | | | | | | | | | | | | | | | | (17771), (20351), (20715), (20756), (20758) are
% 176.47/27.32 | | | | | | | | | | | | | | | | inconsistent by sub-proof #96.
% 176.47/27.32 | | | | | | | | | | | | | | | |
% 176.47/27.32 | | | | | | | | | | | | | | | Case 2:
% 176.47/27.32 | | | | | | | | | | | | | | | |
% 176.47/27.32 | | | | | | | | | | | | | | | | (20759) all_58_1 = e0
% 176.47/27.32 | | | | | | | | | | | | | | | |
% 176.47/27.32 | | | | | | | | | | | | | | | | COMBINE_EQS: (481), (20759) imply:
% 176.47/27.32 | | | | | | | | | | | | | | | | (20760) all_52_1 = e0
% 176.47/27.32 | | | | | | | | | | | | | | | |
% 176.47/27.32 | | | | | | | | | | | | | | | | SIMP: (20760) implies:
% 176.47/27.32 | | | | | | | | | | | | | | | | (20761) all_52_1 = e0
% 176.47/27.32 | | | | | | | | | | | | | | | |
% 176.47/27.32 | | | | | | | | | | | | | | | | REDUCE: (731), (20761) imply:
% 176.47/27.32 | | | | | | | | | | | | | | | | (20762) op(e2, e0) = unit
% 176.47/27.32 | | | | | | | | | | | | | | | |
% 176.47/27.32 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_13, unit, e0, e2,
% 176.47/27.32 | | | | | | | | | | | | | | | | simplifying with (231), (20762) gives:
% 176.47/27.32 | | | | | | | | | | | | | | | | (20763) all_61_13 = unit
% 176.47/27.32 | | | | | | | | | | | | | | | |
% 176.47/27.32 | | | | | | | | | | | | | | | | REDUCE: (184), (20763) imply:
% 176.47/27.32 | | | | | | | | | | | | | | | | (20764) ~ (all_61_9 = unit)
% 176.47/27.32 | | | | | | | | | | | | | | | |
% 176.47/27.32 | | | | | | | | | | | | | | | | REDUCE: (20748), (20763) imply:
% 176.47/27.32 | | | | | | | | | | | | | | | | (20765) ~ (all_28_1 = unit)
% 176.47/27.32 | | | | | | | | | | | | | | | |
% 176.47/27.32 | | | | | | | | | | | | | | | | SIMP: (20765) implies:
% 176.47/27.32 | | | | | | | | | | | | | | | | (20766) ~ (all_28_1 = unit)
% 176.47/27.32 | | | | | | | | | | | | | | | |
% 176.47/27.32 | | | | | | | | | | | | | | | | REDUCE: (20325), (20763) imply:
% 176.47/27.32 | | | | | | | | | | | | | | | | (20767) ~ (all_8_1 = unit)
% 176.47/27.32 | | | | | | | | | | | | | | | |
% 176.47/27.32 | | | | | | | | | | | | | | | | SIMP: (20767) implies:
% 176.47/27.32 | | | | | | | | | | | | | | | | (20768) ~ (all_8_1 = unit)
% 176.47/27.32 | | | | | | | | | | | | | | | |
% 176.47/27.32 | | | | | | | | | | | | | | | | REDUCE: (17747), (20763) imply:
% 176.47/27.32 | | | | | | | | | | | | | | | | (20769) ~ (all_6_1 = unit)
% 176.47/27.32 | | | | | | | | | | | | | | | |
% 176.47/27.32 | | | | | | | | | | | | | | | | SIMP: (20769) implies:
% 176.47/27.32 | | | | | | | | | | | | | | | | (20770) ~ (all_6_1 = unit)
% 176.47/27.32 | | | | | | | | | | | | | | | |
% 176.47/27.32 | | | | | | | | | | | | | | | | REDUCE: (20749), (20763) imply:
% 176.47/27.32 | | | | | | | | | | | | | | | | (20771) op(unit, e2) = all_28_1
% 176.47/27.32 | | | | | | | | | | | | | | | |
% 176.47/27.32 | | | | | | | | | | | | | | | | REDUCE: (20702), (20763) imply:
% 176.47/27.32 | | | | | | | | | | | | | | | | (20772) op(unit, e0) = all_6_1
% 176.47/27.32 | | | | | | | | | | | | | | | |
% 176.47/27.32 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e0, all_6_1, e0, unit,
% 176.47/27.32 | | | | | | | | | | | | | | | | simplifying with (7), (20772) gives:
% 176.47/27.32 | | | | | | | | | | | | | | | | (20773) all_6_1 = e0
% 176.47/27.32 | | | | | | | | | | | | | | | |
% 176.47/27.32 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e2, all_28_1, e2, unit,
% 176.47/27.32 | | | | | | | | | | | | | | | | simplifying with (9), (20771) gives:
% 176.47/27.32 | | | | | | | | | | | | | | | | (20774) all_28_1 = e2
% 176.47/27.32 | | | | | | | | | | | | | | | |
% 176.47/27.32 | | | | | | | | | | | | | | | | REDUCE: (20737), (20773) imply:
% 176.47/27.32 | | | | | | | | | | | | | | | | (20775) ~ (all_40_1 = e0)
% 176.47/27.32 | | | | | | | | | | | | | | | |
% 176.47/27.32 | | | | | | | | | | | | | | | | REDUCE: (20699), (20774) imply:
% 176.47/27.32 | | | | | | | | | | | | | | | | (20776) ~ (all_8_1 = e2)
% 176.47/27.32 | | | | | | | | | | | | | | | |
% 176.47/27.32 | | | | | | | | | | | | | | | | SIMP: (20776) implies:
% 176.47/27.32 | | | | | | | | | | | | | | | | (20777) ~ (all_8_1 = e2)
% 176.47/27.32 | | | | | | | | | | | | | | | |
% 176.47/27.32 | | | | | | | | | | | | | | | | REDUCE: (20766), (20774) imply:
% 176.47/27.32 | | | | | | | | | | | | | | | | (20778) ~ (unit = e2)
% 176.47/27.32 | | | | | | | | | | | | | | | |
% 176.47/27.32 | | | | | | | | | | | | | | | | SIMP: (20778) implies:
% 176.47/27.32 | | | | | | | | | | | | | | | | (20779) ~ (unit = e2)
% 176.47/27.32 | | | | | | | | | | | | | | | |
% 176.47/27.32 | | | | | | | | | | | | | | | | REDUCE: (20770), (20773) imply:
% 176.47/27.32 | | | | | | | | | | | | | | | | (20780) ~ (unit = e0)
% 176.47/27.32 | | | | | | | | | | | | | | | |
% 176.47/27.32 | | | | | | | | | | | | | | | | SIMP: (20780) implies:
% 176.47/27.32 | | | | | | | | | | | | | | | | (20781) ~ (unit = e0)
% 176.47/27.32 | | | | | | | | | | | | | | | |
% 176.47/27.32 | | | | | | | | | | | | | | | | BETA: splitting (20352) gives:
% 176.47/27.32 | | | | | | | | | | | | | | | |
% 176.47/27.32 | | | | | | | | | | | | | | | | Case 1:
% 176.47/27.32 | | | | | | | | | | | | | | | | |
% 176.47/27.32 | | | | | | | | | | | | | | | | | (20782) unit = e2
% 176.47/27.32 | | | | | | | | | | | | | | | | |
% 176.47/27.32 | | | | | | | | | | | | | | | | | REDUCE: (20779), (20782) imply:
% 176.47/27.32 | | | | | | | | | | | | | | | | | (20783) $false
% 176.47/27.32 | | | | | | | | | | | | | | | | |
% 176.47/27.32 | | | | | | | | | | | | | | | | | CLOSE: (20783) is inconsistent.
% 176.47/27.32 | | | | | | | | | | | | | | | | |
% 176.47/27.32 | | | | | | | | | | | | | | | | Case 2:
% 176.47/27.32 | | | | | | | | | | | | | | | | |
% 176.47/27.32 | | | | | | | | | | | | | | | | | (20784) unit = e1 | unit = e0
% 176.47/27.32 | | | | | | | | | | | | | | | | |
% 176.47/27.32 | | | | | | | | | | | | | | | | | REF_CLOSE: (257), (263), (265), (497), (20282), (20317),
% 176.47/27.32 | | | | | | | | | | | | | | | | | (20323), (20328), (20731), (20735), (20736),
% 176.47/27.32 | | | | | | | | | | | | | | | | | (20738), (20764), (20768), (20775), (20777),
% 176.47/27.32 | | | | | | | | | | | | | | | | | (20781), (20784) are inconsistent by sub-proof
% 176.47/27.32 | | | | | | | | | | | | | | | | | #138.
% 176.47/27.32 | | | | | | | | | | | | | | | | |
% 176.47/27.32 | | | | | | | | | | | | | | | | End of split
% 176.47/27.32 | | | | | | | | | | | | | | | |
% 176.47/27.32 | | | | | | | | | | | | | | | End of split
% 176.47/27.32 | | | | | | | | | | | | | | |
% 176.47/27.32 | | | | | | | | | | | | | | Case 2:
% 176.47/27.32 | | | | | | | | | | | | | | |
% 176.47/27.32 | | | | | | | | | | | | | | | (20785) all_58_2 = e2
% 176.47/27.32 | | | | | | | | | | | | | | |
% 176.47/27.32 | | | | | | | | | | | | | | | REF_CLOSE: (478), (20754), (20785) are inconsistent by
% 176.47/27.32 | | | | | | | | | | | | | | | sub-proof #433.
% 176.47/27.32 | | | | | | | | | | | | | | |
% 176.47/27.32 | | | | | | | | | | | | | | End of split
% 176.47/27.32 | | | | | | | | | | | | | |
% 176.47/27.32 | | | | | | | | | | | | | Case 2:
% 176.47/27.32 | | | | | | | | | | | | | |
% 176.47/27.32 | | | | | | | | | | | | | | (20786) all_58_1 = e1
% 176.47/27.32 | | | | | | | | | | | | | |
% 176.47/27.32 | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (50), (184), (232), (481), (731),
% 176.47/27.32 | | | | | | | | | | | | | | (20282), (20330), (20352), (20735), (20739),
% 176.47/27.32 | | | | | | | | | | | | | | (20786) are inconsistent by sub-proof #60.
% 176.47/27.32 | | | | | | | | | | | | | |
% 176.47/27.32 | | | | | | | | | | | | | End of split
% 176.47/27.32 | | | | | | | | | | | | |
% 176.47/27.32 | | | | | | | | | | | | End of split
% 176.47/27.32 | | | | | | | | | | | |
% 176.47/27.32 | | | | | | | | | | | End of split
% 176.47/27.32 | | | | | | | | | | |
% 176.47/27.32 | | | | | | | | | | Case 2:
% 176.47/27.32 | | | | | | | | | | |
% 176.47/27.32 | | | | | | | | | | | (20787) all_36_2 = e0
% 176.47/27.32 | | | | | | | | | | |
% 176.47/27.32 | | | | | | | | | | | COMBINE_EQS: (557), (20787) imply:
% 176.47/27.32 | | | | | | | | | | | (20788) all_14_2 = e0
% 176.47/27.32 | | | | | | | | | | |
% 176.47/27.32 | | | | | | | | | | | SIMP: (20788) implies:
% 176.47/27.32 | | | | | | | | | | | (20789) all_14_2 = e0
% 176.47/27.32 | | | | | | | | | | |
% 176.47/27.32 | | | | | | | | | | | REDUCE: (17757), (20789) imply:
% 176.47/27.32 | | | | | | | | | | | (20790) ~ (all_6_1 = e0)
% 176.47/27.32 | | | | | | | | | | |
% 176.47/27.32 | | | | | | | | | | | SIMP: (20790) implies:
% 176.47/27.32 | | | | | | | | | | | (20791) ~ (all_6_1 = e0)
% 176.47/27.32 | | | | | | | | | | |
% 176.47/27.32 | | | | | | | | | | | REDUCE: (17789), (20789) imply:
% 176.47/27.32 | | | | | | | | | | | (20792) op(e0, e2) = all_65_16
% 176.47/27.32 | | | | | | | | | | |
% 176.47/27.32 | | | | | | | | | | | REDUCE: (715), (20789) imply:
% 176.47/27.32 | | | | | | | | | | | (20793) op(e2, e0) = all_65_16
% 176.47/27.32 | | | | | | | | | | |
% 176.47/27.32 | | | | | | | | | | | REDUCE: (732), (20789) imply:
% 176.47/27.32 | | | | | | | | | | | (20794) op(e1, e0) = all_65_32
% 176.47/27.32 | | | | | | | | | | |
% 176.47/27.32 | | | | | | | | | | | REDUCE: (749), (20789) imply:
% 176.47/27.32 | | | | | | | | | | | (20795) op(e0, e0) = all_65_49
% 176.47/27.32 | | | | | | | | | | |
% 176.47/27.32 | | | | | | | | | | | GROUND_INST: instantiating (50) with e3, all_65_49, e0, e0,
% 176.47/27.32 | | | | | | | | | | | simplifying with (20679), (20795) gives:
% 176.47/27.32 | | | | | | | | | | | (20796) all_65_49 = e3
% 176.47/27.32 | | | | | | | | | | |
% 176.47/27.32 | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_7, all_65_16, e2,
% 176.47/27.32 | | | | | | | | | | | e0, simplifying with (225), (20792) gives:
% 176.47/27.32 | | | | | | | | | | | (20797) all_65_16 = all_61_7
% 176.47/27.32 | | | | | | | | | | |
% 176.47/27.32 | | | | | | | | | | | GROUND_INST: instantiating (50) with all_8_1, all_65_32, e0,
% 176.47/27.32 | | | | | | | | | | | e1, simplifying with (20276), (20794) gives:
% 176.47/27.32 | | | | | | | | | | | (20798) all_65_32 = all_8_1
% 176.47/27.32 | | | | | | | | | | |
% 176.47/27.32 | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_13, all_65_16, e0,
% 176.47/27.32 | | | | | | | | | | | e2, simplifying with (231), (20793) gives:
% 176.47/27.32 | | | | | | | | | | | (20799) all_65_16 = all_61_13
% 176.47/27.32 | | | | | | | | | | |
% 176.47/27.32 | | | | | | | | | | | COMBINE_EQS: (20797), (20799) imply:
% 176.47/27.32 | | | | | | | | | | | (20800) all_61_7 = all_61_13
% 176.47/27.32 | | | | | | | | | | |
% 176.47/27.32 | | | | | | | | | | | SIMP: (20800) implies:
% 176.47/27.32 | | | | | | | | | | | (20801) all_61_7 = all_61_13
% 176.47/27.32 | | | | | | | | | | |
% 176.47/27.32 | | | | | | | | | | | REDUCE: (689), (20801) imply:
% 176.47/27.32 | | | | | | | | | | | (20802) op(all_61_13, e0) = all_65_63
% 176.47/27.32 | | | | | | | | | | |
% 176.47/27.32 | | | | | | | | | | | GROUND_INST: instantiating (50) with all_6_1, all_65_63, e0,
% 176.47/27.32 | | | | | | | | | | | all_61_13, simplifying with (20702), (20802)
% 176.47/27.32 | | | | | | | | | | | gives:
% 176.47/27.32 | | | | | | | | | | | (20803) all_65_63 = all_6_1
% 176.47/27.32 | | | | | | | | | | |
% 176.47/27.32 | | | | | | | | | | | BETA: splitting (161) gives:
% 176.47/27.32 | | | | | | | | | | |
% 176.47/27.32 | | | | | | | | | | | Case 1:
% 176.47/27.32 | | | | | | | | | | | |
% 176.47/27.32 | | | | | | | | | | | | (20804) ~ (all_58_2 = e2)
% 176.47/27.32 | | | | | | | | | | | |
% 176.47/27.32 | | | | | | | | | | | | REDUCE: (478), (20804) imply:
% 176.47/27.32 | | | | | | | | | | | | (20805) ~ (all_52_2 = e2)
% 176.47/27.32 | | | | | | | | | | | |
% 176.47/27.32 | | | | | | | | | | | | BETA: splitting (159) gives:
% 176.47/27.32 | | | | | | | | | | | |
% 176.47/27.32 | | | | | | | | | | | | Case 1:
% 176.47/27.32 | | | | | | | | | | | | |
% 176.47/27.32 | | | | | | | | | | | | | (20806) ~ (all_58_3 = e3)
% 176.47/27.32 | | | | | | | | | | | | |
% 176.47/27.32 | | | | | | | | | | | | | REDUCE: (475), (20806) imply:
% 176.47/27.32 | | | | | | | | | | | | | (20807) ~ (all_52_3 = e3)
% 176.47/27.32 | | | | | | | | | | | | |
% 176.47/27.32 | | | | | | | | | | | | | BETA: splitting (157) gives:
% 176.47/27.32 | | | | | | | | | | | | |
% 176.47/27.32 | | | | | | | | | | | | | Case 1:
% 176.47/27.32 | | | | | | | | | | | | | |
% 176.47/27.32 | | | | | | | | | | | | | | (20808) ~ (all_58_3 = e1)
% 176.47/27.32 | | | | | | | | | | | | | |
% 176.47/27.32 | | | | | | | | | | | | | | REDUCE: (475), (20808) imply:
% 176.47/27.32 | | | | | | | | | | | | | | (20809) ~ (all_52_3 = e1)
% 176.47/27.32 | | | | | | | | | | | | | |
% 176.47/27.32 | | | | | | | | | | | | | | REF_CLOSE: (7), (50), (148), (158), (163), (231), (475),
% 176.47/27.32 | | | | | | | | | | | | | | (481), (539), (731), (765), (20351), (20679),
% 176.47/27.32 | | | | | | | | | | | | | | (20702), (20791), (20807), (20809) are
% 176.47/27.32 | | | | | | | | | | | | | | inconsistent by sub-proof #81.
% 176.47/27.32 | | | | | | | | | | | | | |
% 176.47/27.32 | | | | | | | | | | | | | Case 2:
% 176.47/27.32 | | | | | | | | | | | | | |
% 176.47/27.32 | | | | | | | | | | | | | | (20810) all_58_3 = e1
% 176.47/27.32 | | | | | | | | | | | | | | (20811) all_58_2 = e0
% 176.47/27.32 | | | | | | | | | | | | | |
% 176.47/27.32 | | | | | | | | | | | | | | COMBINE_EQS: (478), (20811) imply:
% 176.47/27.32 | | | | | | | | | | | | | | (20812) all_52_2 = e0
% 176.47/27.32 | | | | | | | | | | | | | |
% 176.47/27.32 | | | | | | | | | | | | | | SIMP: (20812) implies:
% 176.47/27.32 | | | | | | | | | | | | | | (20813) all_52_2 = e0
% 176.47/27.32 | | | | | | | | | | | | | |
% 176.47/27.32 | | | | | | | | | | | | | | REF_CLOSE: (8), (50), (475), (748), (20276), (20674),
% 176.47/27.32 | | | | | | | | | | | | | | (20807), (20810), (20813) are inconsistent by
% 176.47/27.32 | | | | | | | | | | | | | | sub-proof #104.
% 176.47/27.32 | | | | | | | | | | | | | |
% 176.47/27.32 | | | | | | | | | | | | | End of split
% 176.47/27.32 | | | | | | | | | | | | |
% 176.47/27.32 | | | | | | | | | | | | Case 2:
% 176.47/27.32 | | | | | | | | | | | | |
% 176.47/27.32 | | | | | | | | | | | | | (20814) all_58_3 = e3
% 176.47/27.32 | | | | | | | | | | | | | (20815) all_58_0 = e0
% 176.47/27.32 | | | | | | | | | | | | |
% 176.47/27.32 | | | | | | | | | | | | | COMBINE_EQS: (484), (20815) imply:
% 176.47/27.32 | | | | | | | | | | | | | (20816) all_52_0 = e0
% 176.47/27.32 | | | | | | | | | | | | |
% 176.47/27.32 | | | | | | | | | | | | | SIMP: (20816) implies:
% 176.47/27.32 | | | | | | | | | | | | | (20817) all_52_0 = e0
% 176.47/27.32 | | | | | | | | | | | | |
% 176.47/27.32 | | | | | | | | | | | | | COMBINE_EQS: (475), (20814) imply:
% 176.47/27.32 | | | | | | | | | | | | | (20818) all_52_3 = e3
% 176.47/27.32 | | | | | | | | | | | | |
% 176.47/27.32 | | | | | | | | | | | | | REDUCE: (629), (20817) imply:
% 176.47/27.32 | | | | | | | | | | | | | (20819) ~ (all_52_2 = e0)
% 176.47/27.32 | | | | | | | | | | | | |
% 176.47/27.32 | | | | | | | | | | | | | SIMP: (20819) implies:
% 176.47/27.32 | | | | | | | | | | | | | (20820) ~ (all_52_2 = e0)
% 176.47/27.32 | | | | | | | | | | | | |
% 176.47/27.32 | | | | | | | | | | | | | REDUCE: (633), (20818) imply:
% 176.47/27.32 | | | | | | | | | | | | | (20821) ~ (all_52_2 = e3)
% 176.47/27.32 | | | | | | | | | | | | |
% 176.47/27.32 | | | | | | | | | | | | | REF_CLOSE: (3), (50), (149), (538), (748), (20292), (20351),
% 176.47/27.32 | | | | | | | | | | | | | (20679), (20805), (20820), (20821) are
% 176.47/27.32 | | | | | | | | | | | | | inconsistent by sub-proof #56.
% 176.47/27.32 | | | | | | | | | | | | |
% 176.47/27.32 | | | | | | | | | | | | End of split
% 176.47/27.32 | | | | | | | | | | | |
% 176.47/27.32 | | | | | | | | | | | Case 2:
% 176.47/27.32 | | | | | | | | | | | |
% 176.47/27.32 | | | | | | | | | | | | (20822) all_58_2 = e2
% 176.47/27.32 | | | | | | | | | | | | (20823) all_58_1 = e1
% 176.47/27.32 | | | | | | | | | | | |
% 176.47/27.32 | | | | | | | | | | | | COMBINE_EQS: (481), (20823) imply:
% 176.47/27.32 | | | | | | | | | | | | (20824) all_52_1 = e1
% 176.47/27.32 | | | | | | | | | | | |
% 176.47/27.32 | | | | | | | | | | | | SIMP: (20824) implies:
% 176.47/27.32 | | | | | | | | | | | | (20825) all_52_1 = e1
% 176.47/27.32 | | | | | | | | | | | |
% 176.47/27.32 | | | | | | | | | | | | COMBINE_EQS: (478), (20822) imply:
% 176.47/27.32 | | | | | | | | | | | | (20826) all_52_2 = e2
% 176.47/27.32 | | | | | | | | | | | |
% 176.47/27.32 | | | | | | | | | | | | SIMP: (20826) implies:
% 176.47/27.32 | | | | | | | | | | | | (20827) all_52_2 = e2
% 176.47/27.32 | | | | | | | | | | | |
% 176.47/27.32 | | | | | | | | | | | | REDUCE: (731), (20825) imply:
% 176.47/27.32 | | | | | | | | | | | | (20828) op(e2, e1) = unit
% 176.47/27.32 | | | | | | | | | | | |
% 176.47/27.32 | | | | | | | | | | | | REDUCE: (748), (20827) imply:
% 176.47/27.32 | | | | | | | | | | | | (20829) op(e1, e2) = unit
% 176.47/27.32 | | | | | | | | | | | |
% 176.47/27.32 | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_6, unit, e2, e1,
% 176.47/27.32 | | | | | | | | | | | | simplifying with (229), (20829) gives:
% 176.47/27.32 | | | | | | | | | | | | (20830) all_61_6 = unit
% 176.47/27.32 | | | | | | | | | | | |
% 176.47/27.32 | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_9, unit, e1, e2,
% 176.47/27.32 | | | | | | | | | | | | simplifying with (232), (20828) gives:
% 176.47/27.32 | | | | | | | | | | | | (20831) all_61_9 = unit
% 176.47/27.32 | | | | | | | | | | | |
% 176.47/27.32 | | | | | | | | | | | | REDUCE: (190), (20831) imply:
% 176.47/27.32 | | | | | | | | | | | | (20832) ~ (all_61_8 = unit)
% 176.47/27.32 | | | | | | | | | | | |
% 176.47/27.32 | | | | | | | | | | | | REDUCE: (184), (20831) imply:
% 176.47/27.32 | | | | | | | | | | | | (20833) ~ (all_61_13 = unit)
% 176.47/27.32 | | | | | | | | | | | |
% 176.47/27.32 | | | | | | | | | | | | SIMP: (20833) implies:
% 176.47/27.32 | | | | | | | | | | | | (20834) ~ (all_61_13 = unit)
% 176.47/27.32 | | | | | | | | | | | |
% 176.47/27.32 | | | | | | | | | | | | REDUCE: (20282), (20831) imply:
% 176.47/27.32 | | | | | | | | | | | | (20835) ~ (unit = e0)
% 176.47/27.32 | | | | | | | | | | | |
% 176.47/27.32 | | | | | | | | | | | | REDUCE: (20700), (20830) imply:
% 176.47/27.32 | | | | | | | | | | | | (20836) op(unit, e2) = all_61_8
% 176.47/27.32 | | | | | | | | | | | |
% 176.47/27.32 | | | | | | | | | | | | REDUCE: (672), (20830) imply:
% 176.47/27.32 | | | | | | | | | | | | (20837) op(unit, e1) = all_65_38
% 176.47/27.32 | | | | | | | | | | | |
% 176.47/27.32 | | | | | | | | | | | | REDUCE: (659), (20831) imply:
% 176.47/27.32 | | | | | | | | | | | | (20838) op(unit, e2) = all_65_25
% 176.47/27.32 | | | | | | | | | | | |
% 176.47/27.32 | | | | | | | | | | | | REDUCE: (20330), (20831) imply:
% 176.47/27.32 | | | | | | | | | | | | (20839) op(unit, e1) = all_61_13
% 176.47/27.32 | | | | | | | | | | | |
% 176.47/27.32 | | | | | | | | | | | | GROUND_INST: instantiating (50) with e1, all_65_38, e1, unit,
% 176.47/27.32 | | | | | | | | | | | | simplifying with (8), (20837) gives:
% 176.47/27.32 | | | | | | | | | | | | (20840) all_65_38 = e1
% 176.47/27.32 | | | | | | | | | | | |
% 176.47/27.32 | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_13, all_65_38, e1,
% 176.47/27.32 | | | | | | | | | | | | unit, simplifying with (20837), (20839) gives:
% 176.47/27.32 | | | | | | | | | | | | (20841) all_65_38 = all_61_13
% 176.47/27.32 | | | | | | | | | | | |
% 176.47/27.32 | | | | | | | | | | | | GROUND_INST: instantiating (50) with e2, all_65_25, e2, unit,
% 176.47/27.32 | | | | | | | | | | | | simplifying with (9), (20838) gives:
% 176.47/27.32 | | | | | | | | | | | | (20842) all_65_25 = e2
% 176.47/27.32 | | | | | | | | | | | |
% 176.47/27.32 | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_8, all_65_25, e2,
% 176.47/27.32 | | | | | | | | | | | | unit, simplifying with (20836), (20838) gives:
% 176.47/27.32 | | | | | | | | | | | | (20843) all_65_25 = all_61_8
% 176.47/27.32 | | | | | | | | | | | |
% 176.47/27.32 | | | | | | | | | | | | REF_CLOSE: (20352), (20832), (20834), (20835), (20840),
% 176.47/27.32 | | | | | | | | | | | | (20841), (20842), (20843) are inconsistent by
% 176.47/27.32 | | | | | | | | | | | | sub-proof #57.
% 176.47/27.32 | | | | | | | | | | | |
% 176.47/27.32 | | | | | | | | | | | End of split
% 176.47/27.32 | | | | | | | | | | |
% 176.47/27.32 | | | | | | | | | | End of split
% 176.47/27.32 | | | | | | | | | |
% 176.47/27.32 | | | | | | | | | End of split
% 176.47/27.32 | | | | | | | | |
% 176.47/27.32 | | | | | | | | Case 2:
% 176.47/27.32 | | | | | | | | |
% 176.47/27.32 | | | | | | | | | (20844) all_20_2 = e2
% 176.47/27.32 | | | | | | | | | (20845) op(e0, e2) = all_20_1 & $i(all_20_1) & ( ~
% 176.47/27.32 | | | | | | | | | (all_20_1 = e1) | ( ~ (all_20_0 = e3) & op(e1,
% 176.47/27.32 | | | | | | | | | e0) = all_20_0 & $i(all_20_0)))
% 176.47/27.32 | | | | | | | | |
% 176.47/27.32 | | | | | | | | | ALPHA: (20845) implies:
% 176.47/27.32 | | | | | | | | | (20846) op(e0, e2) = all_20_1
% 176.47/27.32 | | | | | | | | |
% 176.47/27.32 | | | | | | | | | COMBINE_EQS: (581), (20844) imply:
% 176.47/27.32 | | | | | | | | | (20847) all_46_2 = e2
% 176.47/27.32 | | | | | | | | |
% 176.47/27.32 | | | | | | | | | REDUCE: (606), (20844) imply:
% 176.47/27.32 | | | | | | | | | (20848) ~ (all_61_3 = e2)
% 176.47/27.32 | | | | | | | | |
% 176.47/27.32 | | | | | | | | | REDUCE: (20327), (20844) imply:
% 176.47/27.32 | | | | | | | | | (20849) ~ (all_8_1 = e2)
% 176.47/27.32 | | | | | | | | |
% 176.47/27.32 | | | | | | | | | SIMP: (20849) implies:
% 176.47/27.32 | | | | | | | | | (20850) ~ (all_8_1 = e2)
% 176.47/27.32 | | | | | | | | |
% 176.47/27.32 | | | | | | | | | REDUCE: (695), (20844) imply:
% 176.47/27.32 | | | | | | | | | (20851) op(e2, e2) = all_65_75
% 176.47/27.32 | | | | | | | | |
% 176.47/27.32 | | | | | | | | | REDUCE: (696), (20844) imply:
% 176.47/27.32 | | | | | | | | | (20852) op(e2, e1) = all_65_77
% 176.47/27.32 | | | | | | | | |
% 176.47/27.32 | | | | | | | | | REDUCE: (697), (20844) imply:
% 176.47/27.32 | | | | | | | | | (20853) op(e2, e0) = all_65_78
% 176.47/27.32 | | | | | | | | |
% 176.47/27.32 | | | | | | | | | REDUCE: (713), (20844) imply:
% 176.47/27.32 | | | | | | | | | (20854) op(e3, e2) = all_65_15
% 176.47/27.32 | | | | | | | | |
% 176.47/27.32 | | | | | | | | | REDUCE: (730), (20844) imply:
% 176.47/27.32 | | | | | | | | | (20855) op(e2, e2) = all_65_31
% 176.47/27.32 | | | | | | | | |
% 176.47/27.32 | | | | | | | | | REDUCE: (20344), (20844) imply:
% 176.47/27.32 | | | | | | | | | (20856) op(e1, e2) = all_65_77
% 176.47/27.32 | | | | | | | | |
% 176.47/27.32 | | | | | | | | | REDUCE: (764), (20844) imply:
% 176.47/27.32 | | | | | | | | | (20857) op(e0, e2) = all_65_78
% 176.47/27.32 | | | | | | | | |
% 176.47/27.32 | | | | | | | | | REDUCE: (76), (20844) imply:
% 176.47/27.32 | | | | | | | | | (20858) op(e0, e0) = e2
% 176.47/27.32 | | | | | | | | |
% 176.47/27.32 | | | | | | | | | BETA: splitting (116) gives:
% 176.47/27.32 | | | | | | | | |
% 176.47/27.32 | | | | | | | | | Case 1:
% 176.47/27.32 | | | | | | | | | |
% 176.47/27.32 | | | | | | | | | | (20859) ~ (all_46_2 = e2)
% 176.47/27.32 | | | | | | | | | |
% 176.47/27.32 | | | | | | | | | | REDUCE: (20847), (20859) imply:
% 176.47/27.32 | | | | | | | | | | (20860) $false
% 176.47/27.32 | | | | | | | | | |
% 176.47/27.32 | | | | | | | | | | CLOSE: (20860) is inconsistent.
% 176.47/27.32 | | | | | | | | | |
% 176.47/27.32 | | | | | | | | | Case 2:
% 176.47/27.32 | | | | | | | | | |
% 176.47/27.32 | | | | | | | | | | (20861) op(e0, e2) = all_46_1 & $i(all_46_1) & ( ~
% 176.47/27.32 | | | | | | | | | | (all_46_1 = e3) | ( ~ (all_46_0 = e1) & op(e3,
% 176.47/27.32 | | | | | | | | | | e0) = all_46_0 & $i(all_46_0)))
% 176.47/27.32 | | | | | | | | | |
% 176.47/27.32 | | | | | | | | | | ALPHA: (20861) implies:
% 176.47/27.32 | | | | | | | | | | (20862) op(e0, e2) = all_46_1
% 176.47/27.32 | | | | | | | | | |
% 176.47/27.32 | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_7, all_46_1, e2,
% 176.47/27.32 | | | | | | | | | | e0, simplifying with (225), (20862) gives:
% 176.47/27.32 | | | | | | | | | | (20863) all_61_7 = all_46_1
% 176.47/27.32 | | | | | | | | | |
% 176.47/27.32 | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_7, all_65_78, e2,
% 176.47/27.32 | | | | | | | | | | e0, simplifying with (225), (20857) gives:
% 176.47/27.32 | | | | | | | | | | (20864) all_65_78 = all_61_7
% 176.47/27.32 | | | | | | | | | |
% 176.47/27.32 | | | | | | | | | | GROUND_INST: instantiating (50) with all_20_1, all_65_78, e2,
% 176.47/27.32 | | | | | | | | | | e0, simplifying with (20846), (20857) gives:
% 176.47/27.32 | | | | | | | | | | (20865) all_65_78 = all_20_1
% 176.47/27.32 | | | | | | | | | |
% 176.47/27.32 | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_6, all_65_77, e2,
% 176.47/27.32 | | | | | | | | | | e1, simplifying with (229), (20856) gives:
% 176.47/27.32 | | | | | | | | | | (20866) all_65_77 = all_61_6
% 176.47/27.32 | | | | | | | | | |
% 176.47/27.32 | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_13, all_65_78, e0,
% 176.47/27.32 | | | | | | | | | | e2, simplifying with (231), (20853) gives:
% 176.47/27.32 | | | | | | | | | | (20867) all_65_78 = all_61_13
% 176.47/27.32 | | | | | | | | | |
% 176.47/27.32 | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_9, all_65_77, e1,
% 176.47/27.32 | | | | | | | | | | e2, simplifying with (232), (20852) gives:
% 176.47/27.32 | | | | | | | | | | (20868) all_65_77 = all_61_9
% 176.47/27.32 | | | | | | | | | |
% 176.47/27.32 | | | | | | | | | | GROUND_INST: instantiating (50) with e3, all_65_31, e2, e2,
% 176.47/27.32 | | | | | | | | | | simplifying with (17713), (20855) gives:
% 176.47/27.32 | | | | | | | | | | (20869) all_65_31 = e3
% 176.47/27.32 | | | | | | | | | |
% 176.47/27.32 | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_75, all_65_31, e2,
% 176.47/27.32 | | | | | | | | | | e2, simplifying with (20851), (20855) gives:
% 176.47/27.32 | | | | | | | | | | (20870) all_65_31 = all_65_75
% 176.47/27.32 | | | | | | | | | |
% 176.47/27.32 | | | | | | | | | | GROUND_INST: instantiating (50) with all_6_1, all_65_15, e2,
% 176.47/27.32 | | | | | | | | | | e3, simplifying with (17771), (20854) gives:
% 176.47/27.32 | | | | | | | | | | (20871) all_65_15 = all_6_1
% 176.47/27.32 | | | | | | | | | |
% 176.47/27.32 | | | | | | | | | | COMBINE_EQS: (20869), (20870) imply:
% 176.47/27.32 | | | | | | | | | | (20872) all_65_75 = e3
% 176.47/27.32 | | | | | | | | | |
% 176.47/27.32 | | | | | | | | | | COMBINE_EQS: (20866), (20868) imply:
% 176.47/27.32 | | | | | | | | | | (20873) all_61_6 = all_61_9
% 176.47/27.32 | | | | | | | | | |
% 176.47/27.32 | | | | | | | | | | COMBINE_EQS: (20865), (20867) imply:
% 176.47/27.32 | | | | | | | | | | (20874) all_61_13 = all_20_1
% 176.47/27.32 | | | | | | | | | |
% 176.47/27.32 | | | | | | | | | | COMBINE_EQS: (20864), (20867) imply:
% 176.47/27.32 | | | | | | | | | | (20875) all_61_7 = all_61_13
% 176.47/27.32 | | | | | | | | | |
% 176.47/27.32 | | | | | | | | | | SIMP: (20875) implies:
% 176.47/27.32 | | | | | | | | | | (20876) all_61_7 = all_61_13
% 176.47/27.32 | | | | | | | | | |
% 176.47/27.32 | | | | | | | | | | COMBINE_EQS: (20863), (20876) imply:
% 176.47/27.32 | | | | | | | | | | (20877) all_61_13 = all_46_1
% 176.47/27.32 | | | | | | | | | |
% 176.47/27.32 | | | | | | | | | | SIMP: (20877) implies:
% 176.47/27.32 | | | | | | | | | | (20878) all_61_13 = all_46_1
% 176.47/27.32 | | | | | | | | | |
% 176.47/27.32 | | | | | | | | | | COMBINE_EQS: (20874), (20878) imply:
% 176.47/27.32 | | | | | | | | | | (20879) all_46_1 = all_20_1
% 176.47/27.32 | | | | | | | | | |
% 176.47/27.32 | | | | | | | | | | COMBINE_EQS: (20863), (20879) imply:
% 176.47/27.32 | | | | | | | | | | (20880) all_61_7 = all_20_1
% 176.47/27.32 | | | | | | | | | |
% 176.47/27.32 | | | | | | | | | | REDUCE: (210), (20873) imply:
% 176.47/27.32 | | | | | | | | | | (20881) ~ (all_61_2 = all_61_9)
% 176.47/27.32 | | | | | | | | | |
% 176.47/27.32 | | | | | | | | | | REDUCE: (207), (20880) imply:
% 176.47/27.32 | | | | | | | | | | (20882) ~ (all_61_3 = all_20_1)
% 176.47/27.32 | | | | | | | | | |
% 176.47/27.32 | | | | | | | | | | REDUCE: (184), (20874) imply:
% 176.47/27.32 | | | | | | | | | | (20883) ~ (all_61_9 = all_20_1)
% 176.47/27.32 | | | | | | | | | |
% 176.47/27.32 | | | | | | | | | | REDUCE: (20325), (20874) imply:
% 176.47/27.32 | | | | | | | | | | (20884) ~ (all_20_1 = all_8_1)
% 176.47/27.32 | | | | | | | | | |
% 176.47/27.32 | | | | | | | | | | REDUCE: (17767), (20873) imply:
% 176.47/27.32 | | | | | | | | | | (20885) op(all_61_9, e2) = all_61_2
% 176.47/27.32 | | | | | | | | | |
% 176.47/27.32 | | | | | | | | | | REDUCE: (672), (20873) imply:
% 176.47/27.32 | | | | | | | | | | (20886) op(all_61_9, e1) = all_65_38
% 176.47/27.32 | | | | | | | | | |
% 176.47/27.32 | | | | | | | | | | REDUCE: (17768), (20880) imply:
% 176.47/27.32 | | | | | | | | | | (20887) op(all_20_1, e2) = all_61_3
% 176.47/27.32 | | | | | | | | | |
% 176.47/27.32 | | | | | | | | | | REDUCE: (689), (20880) imply:
% 176.47/27.32 | | | | | | | | | | (20888) op(all_20_1, e0) = all_65_63
% 176.47/27.32 | | | | | | | | | |
% 176.47/27.32 | | | | | | | | | | REDUCE: (20330), (20874) imply:
% 176.47/27.32 | | | | | | | | | | (20889) op(all_61_9, e1) = all_20_1
% 176.47/27.32 | | | | | | | | | |
% 176.47/27.32 | | | | | | | | | | REDUCE: (663), (20874) imply:
% 176.47/27.32 | | | | | | | | | | (20890) op(all_20_1, e2) = all_65_29
% 176.47/27.32 | | | | | | | | | |
% 176.47/27.32 | | | | | | | | | | REDUCE: (665), (20869), (20874) imply:
% 176.47/27.32 | | | | | | | | | | (20891) op(all_20_1, e0) = e3
% 176.47/27.32 | | | | | | | | | |
% 176.47/27.32 | | | | | | | | | | REDUCE: (724), (20873) imply:
% 176.47/27.32 | | | | | | | | | | (20892) op(e2, all_61_9) = all_65_25
% 176.47/27.32 | | | | | | | | | |
% 176.47/27.32 | | | | | | | | | | REDUCE: (728), (20880) imply:
% 176.47/27.32 | | | | | | | | | | (20893) op(e2, all_20_1) = all_65_29
% 176.47/27.32 | | | | | | | | | |
% 176.47/27.32 | | | | | | | | | | REDUCE: (17774), (20874) imply:
% 176.47/27.32 | | | | | | | | | | (20894) op(e2, all_20_1) = all_61_12
% 176.47/27.32 | | | | | | | | | |
% 176.47/27.32 | | | | | | | | | | REDUCE: (231), (20874) imply:
% 176.47/27.32 | | | | | | | | | | (20895) op(e2, e0) = all_20_1
% 176.47/27.32 | | | | | | | | | |
% 176.47/27.32 | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_12, all_65_29,
% 176.47/27.32 | | | | | | | | | | all_20_1, e2, simplifying with (20893), (20894)
% 176.47/27.32 | | | | | | | | | | gives:
% 176.47/27.32 | | | | | | | | | | (20896) all_65_29 = all_61_12
% 176.47/27.32 | | | | | | | | | |
% 176.47/27.32 | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_8, all_65_25,
% 176.47/27.32 | | | | | | | | | | all_61_9, e2, simplifying with (17773), (20892)
% 176.47/27.32 | | | | | | | | | | gives:
% 176.47/27.32 | | | | | | | | | | (20897) all_65_25 = all_61_8
% 176.47/27.32 | | | | | | | | | |
% 176.47/27.32 | | | | | | | | | | GROUND_INST: instantiating (50) with e3, all_65_63, e0,
% 176.47/27.32 | | | | | | | | | | all_20_1, simplifying with (20888), (20891) gives:
% 176.47/27.32 | | | | | | | | | | (20898) all_65_63 = e3
% 176.47/27.32 | | | | | | | | | |
% 176.47/27.32 | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_3, all_65_29, e2,
% 176.47/27.32 | | | | | | | | | | all_20_1, simplifying with (20887), (20890) gives:
% 176.47/27.32 | | | | | | | | | | (20899) all_65_29 = all_61_3
% 176.47/27.32 | | | | | | | | | |
% 176.47/27.32 | | | | | | | | | | GROUND_INST: instantiating (50) with all_20_1, all_65_38, e1,
% 176.47/27.32 | | | | | | | | | | all_61_9, simplifying with (20886), (20889) gives:
% 176.47/27.32 | | | | | | | | | | (20900) all_65_38 = all_20_1
% 176.47/27.32 | | | | | | | | | |
% 176.47/27.32 | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_25, all_61_2, e2,
% 176.47/27.32 | | | | | | | | | | all_61_9, simplifying with (659), (20885) gives:
% 176.47/27.32 | | | | | | | | | | (20901) all_65_25 = all_61_2
% 176.47/27.32 | | | | | | | | | |
% 176.47/27.32 | | | | | | | | | | COMBINE_EQS: (20897), (20901) imply:
% 176.47/27.32 | | | | | | | | | | (20902) all_61_2 = all_61_8
% 176.47/27.32 | | | | | | | | | |
% 176.47/27.32 | | | | | | | | | | COMBINE_EQS: (20896), (20899) imply:
% 176.47/27.32 | | | | | | | | | | (20903) all_61_3 = all_61_12
% 176.47/27.32 | | | | | | | | | |
% 176.47/27.32 | | | | | | | | | | REDUCE: (20882), (20903) imply:
% 176.47/27.32 | | | | | | | | | | (20904) ~ (all_61_12 = all_20_1)
% 176.47/27.32 | | | | | | | | | |
% 176.47/27.32 | | | | | | | | | | REDUCE: (20848), (20903) imply:
% 176.47/27.32 | | | | | | | | | | (20905) ~ (all_61_12 = e2)
% 176.47/27.32 | | | | | | | | | |
% 176.47/27.32 | | | | | | | | | | REDUCE: (668), (20902) imply:
% 176.47/27.32 | | | | | | | | | | (20906) op(all_61_8, e1) = all_65_34
% 176.47/27.32 | | | | | | | | | |
% 176.47/27.32 | | | | | | | | | | REDUCE: (20885), (20902) imply:
% 176.47/27.32 | | | | | | | | | | (20907) op(all_61_9, e2) = all_61_8
% 176.47/27.32 | | | | | | | | | |
% 176.47/27.32 | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_12, all_65_34, e1,
% 176.47/27.32 | | | | | | | | | | all_61_8, simplifying with (20329), (20906) gives:
% 176.47/27.32 | | | | | | | | | | (20908) all_65_34 = all_61_12
% 176.47/27.32 | | | | | | | | | |
% 176.47/27.32 | | | | | | | | | | BETA: splitting (101) gives:
% 176.47/27.32 | | | | | | | | | |
% 176.47/27.32 | | | | | | | | | | Case 1:
% 176.47/27.32 | | | | | | | | | | |
% 176.47/27.32 | | | | | | | | | | | (20909) ~ (all_36_2 = e0)
% 176.47/27.32 | | | | | | | | | | |
% 176.47/27.32 | | | | | | | | | | | REDUCE: (557), (20909) imply:
% 176.47/27.32 | | | | | | | | | | | (20910) ~ (all_14_2 = e0)
% 176.47/27.32 | | | | | | | | | | |
% 176.47/27.32 | | | | | | | | | | | BETA: splitting (107) gives:
% 176.47/27.32 | | | | | | | | | | |
% 176.47/27.32 | | | | | | | | | | | Case 1:
% 176.47/27.32 | | | | | | | | | | | |
% 176.47/27.32 | | | | | | | | | | | | (20911) ~ (all_40_2 = e1)
% 176.47/27.32 | | | | | | | | | | | |
% 176.47/27.32 | | | | | | | | | | | | REDUCE: (553), (20911) imply:
% 176.47/27.32 | | | | | | | | | | | | (20912) ~ (all_14_2 = e1)
% 176.47/27.32 | | | | | | | | | | | |
% 176.47/27.32 | | | | | | | | | | | | REF_CLOSE: (10), (50), (67), (151), (159), (162), (165),
% 176.47/27.32 | | | | | | | | | | | | (166), (167), (168), (226), (230), (234), (235),
% 176.47/27.32 | | | | | | | | | | | | (236), (237), (271), (475), (478), (481), (484),
% 176.47/27.32 | | | | | | | | | | | | (534), (588), (599), (601), (603), (635), (636),
% 176.47/27.32 | | | | | | | | | | | | (637), (638), (642), (646), (650), (666), (682),
% 176.47/27.32 | | | | | | | | | | | | (698), (714), (715), (731), (732), (748), (749),
% 176.47/27.32 | | | | | | | | | | | | (765), (20351), (20353), (20910), (20912) are
% 176.47/27.32 | | | | | | | | | | | | inconsistent by sub-proof #502.
% 176.47/27.32 | | | | | | | | | | | |
% 176.47/27.32 | | | | | | | | | | | Case 2:
% 176.47/27.32 | | | | | | | | | | | |
% 176.47/27.32 | | | | | | | | | | | | (20913) all_40_2 = e1
% 176.47/27.32 | | | | | | | | | | | | (20914) op(e3, e1) = all_40_1 & $i(all_40_1) & ( ~
% 176.47/27.32 | | | | | | | | | | | | (all_40_1 = e0) | ( ~ (all_40_0 = e2) & op(e0,
% 176.47/27.32 | | | | | | | | | | | | e3) = all_40_0 & $i(all_40_0)))
% 176.47/27.32 | | | | | | | | | | | |
% 176.47/27.32 | | | | | | | | | | | | ALPHA: (20914) implies:
% 176.47/27.32 | | | | | | | | | | | | (20915) op(e3, e1) = all_40_1
% 176.47/27.32 | | | | | | | | | | | |
% 176.47/27.32 | | | | | | | | | | | | COMBINE_EQS: (553), (20913) imply:
% 176.47/27.32 | | | | | | | | | | | | (20916) all_14_2 = e1
% 176.47/27.32 | | | | | | | | | | | |
% 176.47/27.32 | | | | | | | | | | | | SIMP: (20916) implies:
% 176.47/27.32 | | | | | | | | | | | | (20917) all_14_2 = e1
% 176.47/27.32 | | | | | | | | | | | |
% 176.47/27.32 | | | | | | | | | | | | REDUCE: (20353), (20917) imply:
% 176.47/27.32 | | | | | | | | | | | | (20918) ~ (e2 = e1)
% 176.47/27.32 | | | | | | | | | | | |
% 176.47/27.32 | | | | | | | | | | | | REDUCE: (17764), (20917) imply:
% 176.47/27.32 | | | | | | | | | | | | (20919) op(all_6_1, e2) = e1
% 176.47/27.32 | | | | | | | | | | | |
% 176.47/27.32 | | | | | | | | | | | | REDUCE: (698), (20917) imply:
% 176.47/27.32 | | | | | | | | | | | | (20920) op(e3, e1) = all_65_0
% 176.47/27.32 | | | | | | | | | | | |
% 176.47/27.32 | | | | | | | | | | | | REDUCE: (715), (20917) imply:
% 176.47/27.32 | | | | | | | | | | | | (20921) op(e2, e1) = all_65_16
% 176.47/27.32 | | | | | | | | | | | |
% 176.47/27.32 | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_9, all_65_16, e1,
% 176.47/27.32 | | | | | | | | | | | | e2, simplifying with (232), (20921) gives:
% 176.47/27.32 | | | | | | | | | | | | (20922) all_65_16 = all_61_9
% 176.47/27.32 | | | | | | | | | | | |
% 176.47/27.32 | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_8, all_65_0, e1,
% 176.47/27.32 | | | | | | | | | | | | e3, simplifying with (236), (20920) gives:
% 176.47/27.32 | | | | | | | | | | | | (20923) all_65_0 = all_61_8
% 176.47/27.32 | | | | | | | | | | | |
% 176.47/27.32 | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_40_1, all_65_0, e1,
% 176.47/27.32 | | | | | | | | | | | | e3, simplifying with (20915), (20920) gives:
% 176.47/27.32 | | | | | | | | | | | | (20924) all_65_0 = all_40_1
% 176.47/27.32 | | | | | | | | | | | |
% 176.47/27.32 | | | | | | | | | | | | COMBINE_EQS: (20923), (20924) imply:
% 176.47/27.32 | | | | | | | | | | | | (20925) all_61_8 = all_40_1
% 176.47/27.32 | | | | | | | | | | | |
% 176.47/27.33 | | | | | | | | | | | | SIMP: (20925) implies:
% 176.47/27.33 | | | | | | | | | | | | (20926) all_61_8 = all_40_1
% 176.47/27.33 | | | | | | | | | | | |
% 176.47/27.33 | | | | | | | | | | | | REDUCE: (190), (20926) imply:
% 176.47/27.33 | | | | | | | | | | | | (20927) ~ (all_61_9 = all_40_1)
% 176.47/27.33 | | | | | | | | | | | |
% 176.47/27.33 | | | | | | | | | | | | SIMP: (20927) implies:
% 176.47/27.33 | | | | | | | | | | | | (20928) ~ (all_61_9 = all_40_1)
% 176.47/27.33 | | | | | | | | | | | |
% 176.47/27.33 | | | | | | | | | | | | REDUCE: (20907), (20926) imply:
% 176.47/27.33 | | | | | | | | | | | | (20929) op(all_61_9, e2) = all_40_1
% 176.47/27.33 | | | | | | | | | | | |
% 176.47/27.33 | | | | | | | | | | | | BETA: splitting (161) gives:
% 176.47/27.33 | | | | | | | | | | | |
% 176.47/27.33 | | | | | | | | | | | | Case 1:
% 176.47/27.33 | | | | | | | | | | | | |
% 176.47/27.33 | | | | | | | | | | | | | (20930) ~ (all_58_2 = e2)
% 176.47/27.33 | | | | | | | | | | | | |
% 176.47/27.33 | | | | | | | | | | | | | REDUCE: (478), (20930) imply:
% 176.47/27.33 | | | | | | | | | | | | | (20931) ~ (all_52_2 = e2)
% 176.47/27.33 | | | | | | | | | | | | |
% 176.47/27.33 | | | | | | | | | | | | | REF_CLOSE: (7), (9), (20), (21), (50), (150), (163), (164),
% 176.47/27.33 | | | | | | | | | | | | | (165), (478), (481), (484), (536), (714), (731),
% 176.47/27.33 | | | | | | | | | | | | | (17713), (17771), (20351), (20891), (20895),
% 176.47/27.33 | | | | | | | | | | | | | (20919), (20931) are inconsistent by sub-proof
% 176.47/27.33 | | | | | | | | | | | | | #64.
% 176.47/27.33 | | | | | | | | | | | | |
% 176.47/27.33 | | | | | | | | | | | | Case 2:
% 176.47/27.33 | | | | | | | | | | | | |
% 176.47/27.33 | | | | | | | | | | | | | (20932) all_58_1 = e1
% 176.47/27.33 | | | | | | | | | | | | |
% 176.47/27.33 | | | | | | | | | | | | | COMBINE_EQS: (481), (20932) imply:
% 176.47/27.33 | | | | | | | | | | | | | (20933) all_52_1 = e1
% 176.47/27.33 | | | | | | | | | | | | |
% 176.47/27.33 | | | | | | | | | | | | | SIMP: (20933) implies:
% 176.47/27.33 | | | | | | | | | | | | | (20934) all_52_1 = e1
% 176.47/27.33 | | | | | | | | | | | | |
% 176.47/27.33 | | | | | | | | | | | | | REDUCE: (731), (20934) imply:
% 176.47/27.33 | | | | | | | | | | | | | (20935) op(e2, e1) = unit
% 176.47/27.33 | | | | | | | | | | | | |
% 176.47/27.33 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_9, unit, e1, e2,
% 176.47/27.33 | | | | | | | | | | | | | simplifying with (232), (20935) gives:
% 176.47/27.33 | | | | | | | | | | | | | (20936) all_61_9 = unit
% 176.47/27.33 | | | | | | | | | | | | |
% 176.47/27.33 | | | | | | | | | | | | | REDUCE: (20928), (20936) imply:
% 176.47/27.33 | | | | | | | | | | | | | (20937) ~ (all_40_1 = unit)
% 176.47/27.33 | | | | | | | | | | | | |
% 176.47/27.33 | | | | | | | | | | | | | SIMP: (20937) implies:
% 176.47/27.33 | | | | | | | | | | | | | (20938) ~ (all_40_1 = unit)
% 176.47/27.33 | | | | | | | | | | | | |
% 176.47/27.33 | | | | | | | | | | | | | REDUCE: (20883), (20936) imply:
% 176.47/27.33 | | | | | | | | | | | | | (20939) ~ (all_20_1 = unit)
% 176.47/27.33 | | | | | | | | | | | | |
% 176.47/27.33 | | | | | | | | | | | | | SIMP: (20939) implies:
% 176.47/27.33 | | | | | | | | | | | | | (20940) ~ (all_20_1 = unit)
% 176.47/27.33 | | | | | | | | | | | | |
% 176.47/27.33 | | | | | | | | | | | | | REDUCE: (20282), (20936) imply:
% 176.47/27.33 | | | | | | | | | | | | | (20941) ~ (unit = e0)
% 176.47/27.33 | | | | | | | | | | | | |
% 176.47/27.33 | | | | | | | | | | | | | REDUCE: (20929), (20936) imply:
% 176.47/27.33 | | | | | | | | | | | | | (20942) op(unit, e2) = all_40_1
% 176.47/27.33 | | | | | | | | | | | | |
% 176.47/27.33 | | | | | | | | | | | | | REDUCE: (20889), (20936) imply:
% 176.47/27.33 | | | | | | | | | | | | | (20943) op(unit, e1) = all_20_1
% 176.47/27.33 | | | | | | | | | | | | |
% 176.47/27.33 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e1, all_20_1, e1, unit,
% 176.47/27.33 | | | | | | | | | | | | | simplifying with (8), (20943) gives:
% 176.47/27.33 | | | | | | | | | | | | | (20944) all_20_1 = e1
% 176.47/27.33 | | | | | | | | | | | | |
% 176.47/27.33 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e2, all_40_1, e2, unit,
% 176.47/27.33 | | | | | | | | | | | | | simplifying with (9), (20942) gives:
% 176.47/27.33 | | | | | | | | | | | | | (20945) all_40_1 = e2
% 176.47/27.33 | | | | | | | | | | | | |
% 176.47/27.33 | | | | | | | | | | | | | REDUCE: (20938), (20945) imply:
% 176.47/27.33 | | | | | | | | | | | | | (20946) ~ (unit = e2)
% 176.47/27.33 | | | | | | | | | | | | |
% 176.47/27.33 | | | | | | | | | | | | | SIMP: (20946) implies:
% 176.47/27.33 | | | | | | | | | | | | | (20947) ~ (unit = e2)
% 176.47/27.33 | | | | | | | | | | | | |
% 176.47/27.33 | | | | | | | | | | | | | REDUCE: (20940), (20944) imply:
% 176.47/27.33 | | | | | | | | | | | | | (20948) ~ (unit = e1)
% 176.47/27.33 | | | | | | | | | | | | |
% 176.47/27.33 | | | | | | | | | | | | | SIMP: (20948) implies:
% 176.47/27.33 | | | | | | | | | | | | | (20949) ~ (unit = e1)
% 176.47/27.33 | | | | | | | | | | | | |
% 176.47/27.33 | | | | | | | | | | | | | REF_CLOSE: (20352), (20941), (20947), (20949) are
% 176.47/27.33 | | | | | | | | | | | | | inconsistent by sub-proof #398.
% 176.47/27.33 | | | | | | | | | | | | |
% 176.47/27.33 | | | | | | | | | | | | End of split
% 176.47/27.33 | | | | | | | | | | | |
% 176.47/27.33 | | | | | | | | | | | End of split
% 176.47/27.33 | | | | | | | | | | |
% 176.47/27.33 | | | | | | | | | | Case 2:
% 176.47/27.33 | | | | | | | | | | |
% 176.47/27.33 | | | | | | | | | | | (20950) all_36_2 = e0
% 176.47/27.33 | | | | | | | | | | | (20951) op(e3, e0) = all_36_1 & $i(all_36_1) & ( ~
% 176.47/27.33 | | | | | | | | | | | (all_36_1 = e2) | ( ~ (all_36_0 = e1) & op(e2,
% 176.47/27.33 | | | | | | | | | | | e3) = all_36_0 & $i(all_36_0)))
% 176.47/27.33 | | | | | | | | | | |
% 176.47/27.33 | | | | | | | | | | | ALPHA: (20951) implies:
% 176.47/27.33 | | | | | | | | | | | (20952) op(e3, e0) = all_36_1
% 176.47/27.33 | | | | | | | | | | |
% 176.47/27.33 | | | | | | | | | | | COMBINE_EQS: (557), (20950) imply:
% 176.47/27.33 | | | | | | | | | | | (20953) all_14_2 = e0
% 176.47/27.33 | | | | | | | | | | |
% 176.47/27.33 | | | | | | | | | | | SIMP: (20953) implies:
% 176.47/27.33 | | | | | | | | | | | (20954) all_14_2 = e0
% 176.47/27.33 | | | | | | | | | | |
% 176.47/27.33 | | | | | | | | | | | REDUCE: (603), (20954) imply:
% 176.47/27.33 | | | | | | | | | | | (20955) ~ (all_61_12 = e0)
% 176.47/27.33 | | | | | | | | | | |
% 176.47/27.33 | | | | | | | | | | | REDUCE: (17757), (20954) imply:
% 176.47/27.33 | | | | | | | | | | | (20956) ~ (all_6_1 = e0)
% 176.47/27.33 | | | | | | | | | | |
% 176.47/27.33 | | | | | | | | | | | SIMP: (20956) implies:
% 176.47/27.33 | | | | | | | | | | | (20957) ~ (all_6_1 = e0)
% 176.47/27.33 | | | | | | | | | | |
% 176.47/27.33 | | | | | | | | | | | REDUCE: (20353), (20954) imply:
% 176.47/27.33 | | | | | | | | | | | (20958) ~ (e2 = e0)
% 176.47/27.33 | | | | | | | | | | |
% 176.47/27.33 | | | | | | | | | | | REDUCE: (17764), (20954) imply:
% 176.47/27.33 | | | | | | | | | | | (20959) op(all_6_1, e2) = e0
% 176.47/27.33 | | | | | | | | | | |
% 176.47/27.33 | | | | | | | | | | | REDUCE: (698), (20954) imply:
% 176.47/27.33 | | | | | | | | | | | (20960) op(e3, e0) = all_65_0
% 176.47/27.33 | | | | | | | | | | |
% 176.47/27.33 | | | | | | | | | | | REDUCE: (749), (20954) imply:
% 176.47/27.33 | | | | | | | | | | | (20961) op(e0, e0) = all_65_49
% 176.47/27.33 | | | | | | | | | | |
% 176.47/27.33 | | | | | | | | | | | GROUND_INST: instantiating (50) with e2, all_65_49, e0, e0,
% 176.47/27.33 | | | | | | | | | | | simplifying with (20858), (20961) gives:
% 176.47/27.33 | | | | | | | | | | | (20962) all_65_49 = e2
% 176.47/27.33 | | | | | | | | | | |
% 176.47/27.33 | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_12, all_65_0, e0,
% 176.47/27.33 | | | | | | | | | | | e3, simplifying with (235), (20960) gives:
% 176.47/27.33 | | | | | | | | | | | (20963) all_65_0 = all_61_12
% 176.47/27.33 | | | | | | | | | | |
% 176.47/27.33 | | | | | | | | | | | GROUND_INST: instantiating (50) with all_36_1, all_65_0, e0,
% 176.47/27.33 | | | | | | | | | | | e3, simplifying with (20952), (20960) gives:
% 176.47/27.33 | | | | | | | | | | | (20964) all_65_0 = all_36_1
% 176.47/27.33 | | | | | | | | | | |
% 176.47/27.33 | | | | | | | | | | | COMBINE_EQS: (20963), (20964) imply:
% 176.47/27.33 | | | | | | | | | | | (20965) all_61_12 = all_36_1
% 176.47/27.33 | | | | | | | | | | |
% 176.47/27.33 | | | | | | | | | | | SIMP: (20965) implies:
% 176.47/27.33 | | | | | | | | | | | (20966) all_61_12 = all_36_1
% 176.47/27.33 | | | | | | | | | | |
% 176.47/27.33 | | | | | | | | | | | COMBINE_EQS: (491), (20966) imply:
% 176.47/27.33 | | | | | | | | | | | (20967) all_63_3 = all_36_1
% 176.47/27.33 | | | | | | | | | | |
% 176.47/27.33 | | | | | | | | | | | REDUCE: (187), (20966) imply:
% 176.47/27.33 | | | | | | | | | | | (20968) ~ (all_61_8 = all_36_1)
% 176.47/27.33 | | | | | | | | | | |
% 176.47/27.33 | | | | | | | | | | | REDUCE: (20904), (20966) imply:
% 176.47/27.33 | | | | | | | | | | | (20969) ~ (all_36_1 = all_20_1)
% 176.47/27.33 | | | | | | | | | | |
% 176.47/27.33 | | | | | | | | | | | REDUCE: (20324), (20966) imply:
% 176.47/27.33 | | | | | | | | | | | (20970) ~ (all_36_1 = all_8_1)
% 176.47/27.33 | | | | | | | | | | |
% 176.47/27.33 | | | | | | | | | | | REDUCE: (17755), (20966) imply:
% 176.47/27.33 | | | | | | | | | | | (20971) ~ (all_36_1 = all_6_1)
% 176.47/27.33 | | | | | | | | | | |
% 176.47/27.33 | | | | | | | | | | | REDUCE: (20905), (20966) imply:
% 176.47/27.33 | | | | | | | | | | | (20972) ~ (all_36_1 = e2)
% 176.47/27.33 | | | | | | | | | | |
% 176.47/27.33 | | | | | | | | | | | REDUCE: (20955), (20966) imply:
% 176.47/27.33 | | | | | | | | | | | (20973) ~ (all_36_1 = e0)
% 176.47/27.33 | | | | | | | | | | |
% 176.47/27.33 | | | | | | | | | | | REDUCE: (20329), (20966) imply:
% 176.47/27.33 | | | | | | | | | | | (20974) op(all_61_8, e1) = all_36_1
% 176.47/27.33 | | | | | | | | | | |
% 176.47/27.33 | | | | | | | | | | | BETA: splitting (161) gives:
% 176.47/27.33 | | | | | | | | | | |
% 176.47/27.33 | | | | | | | | | | | Case 1:
% 176.47/27.33 | | | | | | | | | | | |
% 176.47/27.33 | | | | | | | | | | | | (20975) ~ (all_58_2 = e2)
% 176.47/27.33 | | | | | | | | | | | |
% 176.47/27.33 | | | | | | | | | | | | REDUCE: (478), (20975) imply:
% 176.47/27.33 | | | | | | | | | | | | (20976) ~ (all_52_2 = e2)
% 176.47/27.33 | | | | | | | | | | | |
% 176.47/27.33 | | | | | | | | | | | | BETA: splitting (164) gives:
% 176.47/27.33 | | | | | | | | | | | |
% 176.47/27.33 | | | | | | | | | | | | Case 1:
% 176.47/27.33 | | | | | | | | | | | | |
% 176.47/27.33 | | | | | | | | | | | | | (20977) ~ (all_58_1 = e1)
% 176.47/27.33 | | | | | | | | | | | | |
% 176.47/27.33 | | | | | | | | | | | | | REDUCE: (481), (20977) imply:
% 176.47/27.33 | | | | | | | | | | | | | (20978) ~ (all_52_1 = e1)
% 176.47/27.33 | | | | | | | | | | | | |
% 176.47/27.33 | | | | | | | | | | | | | BETA: splitting (162) gives:
% 176.47/27.33 | | | | | | | | | | | | |
% 176.47/27.33 | | | | | | | | | | | | | Case 1:
% 176.47/27.33 | | | | | | | | | | | | | |
% 176.47/27.33 | | | | | | | | | | | | | | (20979) ~ (all_58_2 = e3)
% 176.47/27.33 | | | | | | | | | | | | | |
% 176.47/27.33 | | | | | | | | | | | | | | REDUCE: (478), (20979) imply:
% 176.47/27.33 | | | | | | | | | | | | | | (20980) ~ (all_52_2 = e3)
% 176.47/27.33 | | | | | | | | | | | | | |
% 176.47/27.33 | | | | | | | | | | | | | | BETA: splitting (163) gives:
% 176.47/27.33 | | | | | | | | | | | | | |
% 176.47/27.33 | | | | | | | | | | | | | | Case 1:
% 176.47/27.33 | | | | | | | | | | | | | | |
% 176.47/27.33 | | | | | | | | | | | | | | | (20981) ~ (all_58_1 = e0)
% 176.47/27.33 | | | | | | | | | | | | | | |
% 176.47/27.33 | | | | | | | | | | | | | | | REDUCE: (481), (20981) imply:
% 176.47/27.33 | | | | | | | | | | | | | | | (20982) ~ (all_52_1 = e0)
% 176.47/27.33 | | | | | | | | | | | | | | |
% 176.47/27.33 | | | | | | | | | | | | | | | REF_CLOSE: (9), (19), (50), (150), (165), (168), (481),
% 176.47/27.33 | | | | | | | | | | | | | | | (484), (536), (714), (731), (17713), (17771),
% 176.47/27.33 | | | | | | | | | | | | | | | (20351), (20959), (20978), (20982) are
% 176.47/27.33 | | | | | | | | | | | | | | | inconsistent by sub-proof #76.
% 176.47/27.33 | | | | | | | | | | | | | | |
% 176.47/27.33 | | | | | | | | | | | | | | Case 2:
% 176.47/27.33 | | | | | | | | | | | | | | |
% 176.47/27.33 | | | | | | | | | | | | | | | (20983) all_58_3 = e2
% 176.47/27.33 | | | | | | | | | | | | | | | (20984) all_58_1 = e0
% 176.47/27.33 | | | | | | | | | | | | | | |
% 176.47/27.33 | | | | | | | | | | | | | | | COMBINE_EQS: (481), (20984) imply:
% 176.47/27.33 | | | | | | | | | | | | | | | (20985) all_52_1 = e0
% 176.47/27.33 | | | | | | | | | | | | | | |
% 176.47/27.33 | | | | | | | | | | | | | | | SIMP: (20985) implies:
% 176.47/27.33 | | | | | | | | | | | | | | | (20986) all_52_1 = e0
% 176.47/27.33 | | | | | | | | | | | | | | |
% 176.47/27.33 | | | | | | | | | | | | | | | COMBINE_EQS: (475), (20983) imply:
% 176.47/27.33 | | | | | | | | | | | | | | | (20987) all_52_3 = e2
% 176.47/27.33 | | | | | | | | | | | | | | |
% 176.47/27.33 | | | | | | | | | | | | | | | SIMP: (20987) implies:
% 176.47/27.33 | | | | | | | | | | | | | | | (20988) all_52_3 = e2
% 176.47/27.33 | | | | | | | | | | | | | | |
% 176.47/27.33 | | | | | | | | | | | | | | | REDUCE: (631), (20986) imply:
% 176.47/27.33 | | | | | | | | | | | | | | | (20989) ~ (all_52_2 = e0)
% 176.47/27.33 | | | | | | | | | | | | | | |
% 176.47/27.33 | | | | | | | | | | | | | | | SIMP: (20989) implies:
% 176.47/27.33 | | | | | | | | | | | | | | | (20990) ~ (all_52_2 = e0)
% 176.47/27.33 | | | | | | | | | | | | | | |
% 176.47/27.33 | | | | | | | | | | | | | | | REF_CLOSE: (3), (19), (50), (149), (538), (748), (20292),
% 176.47/27.33 | | | | | | | | | | | | | | | (20858), (20976), (20980), (20990) are
% 176.47/27.33 | | | | | | | | | | | | | | | inconsistent by sub-proof #146.
% 176.47/27.33 | | | | | | | | | | | | | | |
% 176.47/27.33 | | | | | | | | | | | | | | End of split
% 176.47/27.33 | | | | | | | | | | | | | |
% 176.47/27.33 | | | | | | | | | | | | | Case 2:
% 176.47/27.33 | | | | | | | | | | | | | |
% 176.47/27.33 | | | | | | | | | | | | | | (20991) all_58_0 = e1
% 176.47/27.33 | | | | | | | | | | | | | |
% 176.47/27.33 | | | | | | | | | | | | | | COMBINE_EQS: (484), (20991) imply:
% 176.47/27.33 | | | | | | | | | | | | | | (20992) all_52_0 = e1
% 176.47/27.33 | | | | | | | | | | | | | |
% 176.47/27.33 | | | | | | | | | | | | | | SIMP: (20992) implies:
% 176.47/27.33 | | | | | | | | | | | | | | (20993) all_52_0 = e1
% 176.47/27.33 | | | | | | | | | | | | | |
% 176.47/27.33 | | | | | | | | | | | | | | REDUCE: (714), (20993) imply:
% 176.47/27.33 | | | | | | | | | | | | | | (20994) op(e3, e1) = unit
% 176.47/27.33 | | | | | | | | | | | | | |
% 176.47/27.33 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_8, unit, e1, e3,
% 176.47/27.33 | | | | | | | | | | | | | | simplifying with (236), (20994) gives:
% 176.47/27.33 | | | | | | | | | | | | | | (20995) all_61_8 = unit
% 176.47/27.33 | | | | | | | | | | | | | |
% 176.47/27.33 | | | | | | | | | | | | | | REDUCE: (20968), (20995) imply:
% 176.47/27.33 | | | | | | | | | | | | | | (20996) ~ (all_36_1 = unit)
% 176.47/27.33 | | | | | | | | | | | | | |
% 176.47/27.33 | | | | | | | | | | | | | | SIMP: (20996) implies:
% 176.47/27.33 | | | | | | | | | | | | | | (20997) ~ (all_36_1 = unit)
% 176.47/27.33 | | | | | | | | | | | | | |
% 176.47/27.33 | | | | | | | | | | | | | | REDUCE: (20322), (20995) imply:
% 176.47/27.33 | | | | | | | | | | | | | | (20998) ~ (all_8_1 = unit)
% 176.47/27.33 | | | | | | | | | | | | | |
% 176.47/27.33 | | | | | | | | | | | | | | SIMP: (20998) implies:
% 176.47/27.33 | | | | | | | | | | | | | | (20999) ~ (all_8_1 = unit)
% 176.47/27.33 | | | | | | | | | | | | | |
% 176.47/27.33 | | | | | | | | | | | | | | REDUCE: (17753), (20995) imply:
% 176.47/27.33 | | | | | | | | | | | | | | (21000) ~ (all_6_1 = unit)
% 176.47/27.33 | | | | | | | | | | | | | |
% 176.47/27.33 | | | | | | | | | | | | | | SIMP: (21000) implies:
% 176.47/27.33 | | | | | | | | | | | | | | (21001) ~ (all_6_1 = unit)
% 176.47/27.33 | | | | | | | | | | | | | |
% 176.47/27.33 | | | | | | | | | | | | | | REDUCE: (20281), (20995) imply:
% 176.47/27.33 | | | | | | | | | | | | | | (21002) ~ (unit = e0)
% 176.47/27.33 | | | | | | | | | | | | | |
% 176.47/27.33 | | | | | | | | | | | | | | REDUCE: (20974), (20995) imply:
% 176.47/27.33 | | | | | | | | | | | | | | (21003) op(unit, e1) = all_36_1
% 176.47/27.33 | | | | | | | | | | | | | |
% 176.47/27.33 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e1, all_36_1, e1, unit,
% 176.47/27.33 | | | | | | | | | | | | | | simplifying with (8), (21003) gives:
% 176.47/27.33 | | | | | | | | | | | | | | (21004) all_36_1 = e1
% 176.47/27.33 | | | | | | | | | | | | | |
% 176.47/27.33 | | | | | | | | | | | | | | REDUCE: (20971), (21004) imply:
% 176.47/27.33 | | | | | | | | | | | | | | (21005) ~ (all_6_1 = e1)
% 176.47/27.33 | | | | | | | | | | | | | |
% 176.47/27.33 | | | | | | | | | | | | | | SIMP: (21005) implies:
% 176.47/27.33 | | | | | | | | | | | | | | (21006) ~ (all_6_1 = e1)
% 176.47/27.33 | | | | | | | | | | | | | |
% 176.47/27.33 | | | | | | | | | | | | | | BETA: splitting (20352) gives:
% 176.47/27.33 | | | | | | | | | | | | | |
% 176.47/27.33 | | | | | | | | | | | | | | Case 1:
% 176.47/27.33 | | | | | | | | | | | | | | |
% 176.47/27.33 | | | | | | | | | | | | | | | (21007) unit = e2
% 176.47/27.33 | | | | | | | | | | | | | | |
% 176.47/27.33 | | | | | | | | | | | | | | | REDUCE: (21001), (21007) imply:
% 176.47/27.33 | | | | | | | | | | | | | | | (21008) ~ (all_6_1 = e2)
% 176.47/27.33 | | | | | | | | | | | | | | |
% 176.47/27.33 | | | | | | | | | | | | | | | REF_CLOSE: (267), (17738), (17758), (20957), (21006), (21008)
% 176.47/27.33 | | | | | | | | | | | | | | | are inconsistent by sub-proof #93.
% 176.47/27.33 | | | | | | | | | | | | | | |
% 176.47/27.33 | | | | | | | | | | | | | | Case 2:
% 176.47/27.33 | | | | | | | | | | | | | | |
% 176.47/27.33 | | | | | | | | | | | | | | | (21009) unit = e1 | unit = e0
% 176.47/27.33 | | | | | | | | | | | | | | |
% 176.47/27.33 | | | | | | | | | | | | | | | REF_CLOSE: (257), (268), (20317), (20328), (20850), (20967),
% 176.47/27.33 | | | | | | | | | | | | | | | (20970), (20972), (20973), (20997), (20999),
% 176.47/27.33 | | | | | | | | | | | | | | | (21002), (21009) are inconsistent by sub-proof
% 176.47/27.33 | | | | | | | | | | | | | | | #136.
% 176.47/27.33 | | | | | | | | | | | | | | |
% 176.47/27.33 | | | | | | | | | | | | | | End of split
% 176.47/27.33 | | | | | | | | | | | | | |
% 176.47/27.33 | | | | | | | | | | | | | End of split
% 176.47/27.33 | | | | | | | | | | | | |
% 176.47/27.33 | | | | | | | | | | | | Case 2:
% 176.47/27.33 | | | | | | | | | | | | |
% 176.47/27.33 | | | | | | | | | | | | | (21010) all_58_2 = e2
% 176.47/27.33 | | | | | | | | | | | | |
% 176.47/27.33 | | | | | | | | | | | | | REF_CLOSE: (478), (20976), (21010) are inconsistent by
% 176.47/27.33 | | | | | | | | | | | | | sub-proof #433.
% 176.47/27.33 | | | | | | | | | | | | |
% 176.47/27.33 | | | | | | | | | | | | End of split
% 176.47/27.33 | | | | | | | | | | | |
% 176.47/27.33 | | | | | | | | | | | Case 2:
% 176.47/27.33 | | | | | | | | | | | |
% 176.47/27.33 | | | | | | | | | | | | (21011) all_58_1 = e1
% 176.47/27.33 | | | | | | | | | | | |
% 176.47/27.33 | | | | | | | | | | | | COMBINE_EQS: (481), (21011) imply:
% 176.47/27.33 | | | | | | | | | | | | (21012) all_52_1 = e1
% 176.47/27.33 | | | | | | | | | | | |
% 176.47/27.33 | | | | | | | | | | | | SIMP: (21012) implies:
% 176.47/27.33 | | | | | | | | | | | | (21013) all_52_1 = e1
% 176.47/27.33 | | | | | | | | | | | |
% 176.47/27.33 | | | | | | | | | | | | REDUCE: (731), (21013) imply:
% 176.47/27.33 | | | | | | | | | | | | (21014) op(e2, e1) = unit
% 176.47/27.33 | | | | | | | | | | | |
% 176.47/27.33 | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_9, unit, e1, e2,
% 176.47/27.33 | | | | | | | | | | | | simplifying with (232), (21014) gives:
% 176.47/27.33 | | | | | | | | | | | | (21015) all_61_9 = unit
% 176.47/27.33 | | | | | | | | | | | |
% 176.47/27.33 | | | | | | | | | | | | REDUCE: (20907), (21015) imply:
% 176.47/27.33 | | | | | | | | | | | | (21016) op(unit, e2) = all_61_8
% 176.47/27.33 | | | | | | | | | | | |
% 176.47/27.33 | | | | | | | | | | | | REDUCE: (20889), (21015) imply:
% 176.47/27.33 | | | | | | | | | | | | (21017) op(unit, e1) = all_20_1
% 176.47/27.33 | | | | | | | | | | | |
% 176.47/27.33 | | | | | | | | | | | | GROUND_INST: instantiating (50) with e1, all_20_1, e1, unit,
% 176.47/27.33 | | | | | | | | | | | | simplifying with (8), (21017) gives:
% 176.47/27.33 | | | | | | | | | | | | (21018) all_20_1 = e1
% 176.47/27.33 | | | | | | | | | | | |
% 176.47/27.33 | | | | | | | | | | | | GROUND_INST: instantiating (50) with e2, all_61_8, e2, unit,
% 176.47/27.33 | | | | | | | | | | | | simplifying with (9), (21016) gives:
% 176.47/27.33 | | | | | | | | | | | | (21019) all_61_8 = e2
% 176.47/27.33 | | | | | | | | | | | |
% 176.47/27.33 | | | | | | | | | | | | REDUCE: (20968), (21019) imply:
% 176.47/27.33 | | | | | | | | | | | | (21020) ~ (all_36_1 = e2)
% 176.47/27.33 | | | | | | | | | | | |
% 176.47/27.33 | | | | | | | | | | | | REDUCE: (20969), (21018) imply:
% 176.47/27.33 | | | | | | | | | | | | (21021) ~ (all_36_1 = e1)
% 176.47/27.33 | | | | | | | | | | | |
% 176.47/27.33 | | | | | | | | | | | | REDUCE: (20884), (21018) imply:
% 176.47/27.33 | | | | | | | | | | | | (21022) ~ (all_8_1 = e1)
% 176.47/27.33 | | | | | | | | | | | |
% 176.47/27.33 | | | | | | | | | | | | SIMP: (21022) implies:
% 176.47/27.33 | | | | | | | | | | | | (21023) ~ (all_8_1 = e1)
% 176.47/27.33 | | | | | | | | | | | |
% 176.47/27.33 | | | | | | | | | | | | REF_CLOSE: (257), (268), (20317), (20328), (20850), (20967),
% 176.47/27.33 | | | | | | | | | | | | (20970), (20972), (20973), (21021), (21023) are
% 176.47/27.33 | | | | | | | | | | | | inconsistent by sub-proof #137.
% 176.47/27.33 | | | | | | | | | | | |
% 176.47/27.33 | | | | | | | | | | | End of split
% 176.47/27.33 | | | | | | | | | | |
% 176.47/27.33 | | | | | | | | | | End of split
% 176.47/27.33 | | | | | | | | | |
% 176.47/27.33 | | | | | | | | | End of split
% 176.47/27.33 | | | | | | | | |
% 176.47/27.33 | | | | | | | | End of split
% 176.47/27.33 | | | | | | | |
% 176.47/27.33 | | | | | | | Case 2:
% 176.47/27.33 | | | | | | | |
% 176.47/27.33 | | | | | | | | (21024) all_14_2 = e2
% 176.47/27.33 | | | | | | | | (21025) op(e3, e2) = all_14_1 & $i(all_14_1) & ( ~ (all_14_1
% 176.47/27.33 | | | | | | | | = e0) | ( ~ (all_14_0 = e1) & op(e0, e3) =
% 176.47/27.33 | | | | | | | | all_14_0 & $i(all_14_0)))
% 176.47/27.33 | | | | | | | |
% 176.47/27.33 | | | | | | | | ALPHA: (21025) implies:
% 176.47/27.33 | | | | | | | | (21026) op(e3, e2) = all_14_1
% 176.47/27.33 | | | | | | | |
% 176.47/27.33 | | | | | | | | COMBINE_EQS: (561), (21024) imply:
% 176.47/27.33 | | | | | | | | (21027) all_26_2 = e2
% 176.47/27.33 | | | | | | | |
% 176.47/27.33 | | | | | | | | REDUCE: (595), (21024) imply:
% 176.47/27.33 | | | | | | | | (21028) ~ (all_61_2 = e2)
% 176.47/27.33 | | | | | | | |
% 176.47/27.33 | | | | | | | | REDUCE: (601), (21024) imply:
% 176.47/27.33 | | | | | | | | (21029) ~ (all_61_8 = e2)
% 176.47/27.33 | | | | | | | |
% 176.47/27.33 | | | | | | | | REDUCE: (603), (21024) imply:
% 176.47/27.33 | | | | | | | | (21030) ~ (all_61_12 = e2)
% 176.47/27.33 | | | | | | | |
% 176.47/27.33 | | | | | | | | REDUCE: (17757), (21024) imply:
% 176.47/27.33 | | | | | | | | (21031) ~ (all_6_1 = e2)
% 176.47/27.33 | | | | | | | |
% 176.47/27.33 | | | | | | | | SIMP: (21031) implies:
% 176.47/27.33 | | | | | | | | (21032) ~ (all_6_1 = e2)
% 176.47/27.33 | | | | | | | |
% 176.47/27.33 | | | | | | | | REDUCE: (636), (21024) imply:
% 176.47/27.33 | | | | | | | | (21033) op(e2, e1) = all_65_2
% 176.47/27.33 | | | | | | | |
% 176.47/27.33 | | | | | | | | REDUCE: (637), (21024) imply:
% 176.47/27.33 | | | | | | | | (21034) op(e2, e0) = all_65_3
% 176.47/27.33 | | | | | | | |
% 176.47/27.33 | | | | | | | | REDUCE: (698), (21024) imply:
% 176.47/27.33 | | | | | | | | (21035) op(e3, e2) = all_65_0
% 176.47/27.33 | | | | | | | |
% 176.47/27.33 | | | | | | | | REDUCE: (715), (21024) imply:
% 176.47/27.33 | | | | | | | | (21036) op(e2, e2) = all_65_16
% 176.47/27.33 | | | | | | | |
% 176.47/27.33 | | | | | | | | REDUCE: (732), (21024) imply:
% 176.47/27.33 | | | | | | | | (21037) op(e1, e2) = all_65_32
% 176.47/27.33 | | | | | | | |
% 176.47/27.33 | | | | | | | | REDUCE: (749), (21024) imply:
% 176.47/27.33 | | | | | | | | (21038) op(e0, e2) = all_65_49
% 176.47/27.33 | | | | | | | |
% 176.47/27.33 | | | | | | | | BETA: splitting (86) gives:
% 176.47/27.33 | | | | | | | |
% 176.47/27.33 | | | | | | | | Case 1:
% 176.47/27.33 | | | | | | | | |
% 176.47/27.33 | | | | | | | | | (21039) ~ (all_26_2 = e2)
% 176.47/27.33 | | | | | | | | |
% 176.47/27.33 | | | | | | | | | REDUCE: (21027), (21039) imply:
% 176.47/27.33 | | | | | | | | | (21040) $false
% 176.47/27.33 | | | | | | | | |
% 176.47/27.33 | | | | | | | | | CLOSE: (21040) is inconsistent.
% 176.47/27.33 | | | | | | | | |
% 176.47/27.33 | | | | | | | | Case 2:
% 176.47/27.33 | | | | | | | | |
% 176.47/27.33 | | | | | | | | | (21041) op(e3, e2) = all_26_1 & $i(all_26_1) & ( ~
% 176.47/27.33 | | | | | | | | | (all_26_1 = e1) | ( ~ (all_26_0 = e0) & op(e1,
% 176.47/27.33 | | | | | | | | | e3) = all_26_0 & $i(all_26_0)))
% 176.47/27.33 | | | | | | | | |
% 176.47/27.33 | | | | | | | | | ALPHA: (21041) implies:
% 176.47/27.33 | | | | | | | | | (21042) op(e3, e2) = all_26_1
% 176.47/27.33 | | | | | | | | |
% 176.47/27.33 | | | | | | | | | GROUND_INST: instantiating (50) with all_61_7, all_65_49, e2,
% 176.47/27.33 | | | | | | | | | e0, simplifying with (225), (21038) gives:
% 176.47/27.33 | | | | | | | | | (21043) all_65_49 = all_61_7
% 176.47/27.33 | | | | | | | | |
% 176.47/27.33 | | | | | | | | | GROUND_INST: instantiating (50) with all_61_6, all_65_32, e2,
% 176.47/27.33 | | | | | | | | | e1, simplifying with (229), (21037) gives:
% 176.47/27.33 | | | | | | | | | (21044) all_65_32 = all_61_6
% 176.47/27.33 | | | | | | | | |
% 176.47/27.33 | | | | | | | | | GROUND_INST: instantiating (50) with all_61_13, all_65_3, e0,
% 176.47/27.33 | | | | | | | | | e2, simplifying with (231), (21034) gives:
% 176.47/27.33 | | | | | | | | | (21045) all_65_3 = all_61_13
% 176.47/27.33 | | | | | | | | |
% 176.47/27.33 | | | | | | | | | GROUND_INST: instantiating (50) with all_61_9, all_65_2, e1,
% 176.47/27.33 | | | | | | | | | e2, simplifying with (232), (21033) gives:
% 176.47/27.33 | | | | | | | | | (21046) all_65_2 = all_61_9
% 176.47/27.33 | | | | | | | | |
% 176.47/27.33 | | | | | | | | | GROUND_INST: instantiating (50) with e3, all_65_16, e2, e2,
% 176.47/27.33 | | | | | | | | | simplifying with (17713), (21036) gives:
% 176.47/27.33 | | | | | | | | | (21047) all_65_16 = e3
% 176.47/27.33 | | | | | | | | |
% 176.47/27.33 | | | | | | | | | GROUND_INST: instantiating (50) with all_6_1, all_26_1, e2, e3,
% 176.47/27.33 | | | | | | | | | simplifying with (17771), (21042) gives:
% 176.47/27.33 | | | | | | | | | (21048) all_26_1 = all_6_1
% 176.47/27.33 | | | | | | | | |
% 176.47/27.33 | | | | | | | | | GROUND_INST: instantiating (50) with all_26_1, all_65_0, e2,
% 176.47/27.33 | | | | | | | | | e3, simplifying with (21035), (21042) gives:
% 176.47/27.33 | | | | | | | | | (21049) all_65_0 = all_26_1
% 176.47/27.33 | | | | | | | | |
% 176.47/27.33 | | | | | | | | | GROUND_INST: instantiating (50) with all_14_1, all_65_0, e2,
% 176.47/27.33 | | | | | | | | | e3, simplifying with (21026), (21035) gives:
% 176.47/27.33 | | | | | | | | | (21050) all_65_0 = all_14_1
% 176.47/27.33 | | | | | | | | |
% 176.47/27.33 | | | | | | | | | COMBINE_EQS: (21049), (21050) imply:
% 176.47/27.33 | | | | | | | | | (21051) all_26_1 = all_14_1
% 176.47/27.33 | | | | | | | | |
% 176.47/27.33 | | | | | | | | | SIMP: (21051) implies:
% 176.47/27.33 | | | | | | | | | (21052) all_26_1 = all_14_1
% 176.47/27.33 | | | | | | | | |
% 176.47/27.33 | | | | | | | | | COMBINE_EQS: (21048), (21052) imply:
% 176.47/27.33 | | | | | | | | | (21053) all_14_1 = all_6_1
% 176.47/27.33 | | | | | | | | |
% 176.47/27.33 | | | | | | | | | REDUCE: (666), (21044) imply:
% 176.47/27.33 | | | | | | | | | (21054) op(all_61_2, e3) = all_61_6
% 176.47/27.33 | | | | | | | | |
% 176.47/27.33 | | | | | | | | | REDUCE: (682), (21043) imply:
% 176.47/27.33 | | | | | | | | | (21055) op(all_61_3, e3) = all_61_7
% 176.47/27.33 | | | | | | | | |
% 176.47/27.33 | | | | | | | | | REDUCE: (700), (21046) imply:
% 176.47/27.33 | | | | | | | | | (21056) op(e3, all_61_8) = all_61_9
% 176.47/27.33 | | | | | | | | |
% 176.47/27.33 | | | | | | | | | REDUCE: (701), (21045) imply:
% 176.47/27.33 | | | | | | | | | (21057) op(e3, all_61_12) = all_61_13
% 176.47/27.33 | | | | | | | | |
% 176.47/27.33 | | | | | | | | | REDUCE: (17792), (21047) imply:
% 176.47/27.33 | | | | | | | | | (21058) op(e3, all_6_1) = e3
% 176.47/27.33 | | | | | | | | |
% 176.47/27.33 | | | | | | | | | BETA: splitting (77) gives:
% 176.47/27.33 | | | | | | | | |
% 176.47/27.33 | | | | | | | | | Case 1:
% 176.47/27.33 | | | | | | | | | |
% 176.47/27.33 | | | | | | | | | | (21059) ~ (all_20_2 = e2)
% 176.47/27.33 | | | | | | | | | |
% 176.47/27.33 | | | | | | | | | | BETA: splitting (89) gives:
% 176.47/27.33 | | | | | | | | | |
% 176.47/27.33 | | | | | | | | | | Case 1:
% 176.47/27.33 | | | | | | | | | | |
% 176.47/27.33 | | | | | | | | | | | (21060) ~ (all_28_2 = e3)
% 176.47/27.33 | | | | | | | | | | |
% 176.47/27.33 | | | | | | | | | | | REDUCE: (563), (21060) imply:
% 176.47/27.33 | | | | | | | | | | | (21061) ~ (all_20_2 = e3)
% 176.47/27.33 | | | | | | | | | | |
% 176.47/27.33 | | | | | | | | | | | BETA: splitting (110) gives:
% 176.47/27.33 | | | | | | | | | | |
% 176.47/27.33 | | | | | | | | | | | Case 1:
% 176.47/27.33 | | | | | | | | | | | |
% 176.47/27.33 | | | | | | | | | | | | (21062) ~ (all_42_2 = e1)
% 176.47/27.33 | | | | | | | | | | | |
% 176.47/27.33 | | | | | | | | | | | | REDUCE: (532), (21062) imply:
% 176.47/27.33 | | | | | | | | | | | | (21063) ~ (all_20_2 = e1)
% 176.47/27.33 | | | | | | | | | | | |
% 176.47/27.33 | | | | | | | | | | | | BETA: splitting (256) gives:
% 176.47/27.33 | | | | | | | | | | | |
% 176.47/27.33 | | | | | | | | | | | | Case 1:
% 176.47/27.33 | | | | | | | | | | | | |
% 176.47/27.33 | | | | | | | | | | | | | (21064) all_63_15 = e3
% 176.47/27.33 | | | | | | | | | | | | |
% 176.47/27.33 | | | | | | | | | | | | | COMBINE_EQS: (422), (21064) imply:
% 176.47/27.33 | | | | | | | | | | | | | (21065) all_20_2 = e3
% 176.47/27.33 | | | | | | | | | | | | |
% 176.47/27.33 | | | | | | | | | | | | | REDUCE: (21061), (21065) imply:
% 176.47/27.33 | | | | | | | | | | | | | (21066) $false
% 176.47/27.33 | | | | | | | | | | | | |
% 176.47/27.33 | | | | | | | | | | | | | CLOSE: (21066) is inconsistent.
% 176.47/27.33 | | | | | | | | | | | | |
% 176.47/27.33 | | | | | | | | | | | | Case 2:
% 176.47/27.33 | | | | | | | | | | | | |
% 176.47/27.33 | | | | | | | | | | | | | (21067) all_63_15 = e2 | all_63_15 = e1 | all_63_15 = e0
% 176.47/27.33 | | | | | | | | | | | | |
% 176.47/27.33 | | | | | | | | | | | | | BETA: splitting (21067) gives:
% 176.47/27.33 | | | | | | | | | | | | |
% 176.47/27.33 | | | | | | | | | | | | | Case 1:
% 176.47/27.33 | | | | | | | | | | | | | |
% 176.47/27.33 | | | | | | | | | | | | | | (21068) all_63_15 = e2
% 176.47/27.33 | | | | | | | | | | | | | |
% 176.47/27.33 | | | | | | | | | | | | | | COMBINE_EQS: (422), (21068) imply:
% 176.47/27.33 | | | | | | | | | | | | | | (21069) all_20_2 = e2
% 176.47/27.33 | | | | | | | | | | | | | |
% 176.47/27.33 | | | | | | | | | | | | | | REDUCE: (21059), (21069) imply:
% 176.47/27.33 | | | | | | | | | | | | | | (21070) $false
% 176.47/27.33 | | | | | | | | | | | | | |
% 176.47/27.33 | | | | | | | | | | | | | | CLOSE: (21070) is inconsistent.
% 176.47/27.33 | | | | | | | | | | | | | |
% 176.47/27.33 | | | | | | | | | | | | | Case 2:
% 176.47/27.33 | | | | | | | | | | | | | |
% 176.47/27.33 | | | | | | | | | | | | | | (21071) all_63_15 = e1 | all_63_15 = e0
% 176.47/27.33 | | | | | | | | | | | | | |
% 176.47/27.33 | | | | | | | | | | | | | | BETA: splitting (21071) gives:
% 176.47/27.33 | | | | | | | | | | | | | |
% 176.47/27.33 | | | | | | | | | | | | | | Case 1:
% 176.47/27.33 | | | | | | | | | | | | | | |
% 176.47/27.33 | | | | | | | | | | | | | | | (21072) all_63_15 = e1
% 176.47/27.33 | | | | | | | | | | | | | | |
% 176.47/27.33 | | | | | | | | | | | | | | | COMBINE_EQS: (422), (21072) imply:
% 176.47/27.33 | | | | | | | | | | | | | | | (21073) all_20_2 = e1
% 176.47/27.33 | | | | | | | | | | | | | | |
% 176.47/27.33 | | | | | | | | | | | | | | | REDUCE: (21063), (21073) imply:
% 176.47/27.33 | | | | | | | | | | | | | | | (21074) $false
% 176.47/27.33 | | | | | | | | | | | | | | |
% 176.47/27.33 | | | | | | | | | | | | | | | CLOSE: (21074) is inconsistent.
% 176.47/27.33 | | | | | | | | | | | | | | |
% 176.47/27.33 | | | | | | | | | | | | | | Case 2:
% 176.47/27.33 | | | | | | | | | | | | | | |
% 176.47/27.33 | | | | | | | | | | | | | | | (21075) all_63_15 = e0
% 176.47/27.33 | | | | | | | | | | | | | | |
% 176.47/27.33 | | | | | | | | | | | | | | | COMBINE_EQS: (422), (21075) imply:
% 176.47/27.33 | | | | | | | | | | | | | | | (21076) all_20_2 = e0
% 176.47/27.33 | | | | | | | | | | | | | | |
% 176.47/27.33 | | | | | | | | | | | | | | | REDUCE: (626), (21076) imply:
% 176.47/27.33 | | | | | | | | | | | | | | | (21077) ~ (all_61_13 = e0)
% 176.47/27.33 | | | | | | | | | | | | | | |
% 176.47/27.33 | | | | | | | | | | | | | | | REDUCE: (20331), (21076) imply:
% 176.47/27.33 | | | | | | | | | | | | | | | (21078) op(all_8_1, e1) = e0
% 176.47/27.33 | | | | | | | | | | | | | | |
% 176.47/27.33 | | | | | | | | | | | | | | | REDUCE: (713), (21076) imply:
% 176.47/27.33 | | | | | | | | | | | | | | | (21079) op(e3, e0) = all_65_15
% 176.47/27.33 | | | | | | | | | | | | | | |
% 176.47/27.33 | | | | | | | | | | | | | | | REDUCE: (730), (21076) imply:
% 176.47/27.33 | | | | | | | | | | | | | | | (21080) op(e2, e0) = all_65_31
% 176.47/27.33 | | | | | | | | | | | | | | |
% 176.47/27.33 | | | | | | | | | | | | | | | REDUCE: (20344), (21076) imply:
% 176.47/27.33 | | | | | | | | | | | | | | | (21081) op(e1, e0) = all_65_77
% 176.47/27.33 | | | | | | | | | | | | | | |
% 176.47/27.33 | | | | | | | | | | | | | | | REDUCE: (764), (21076) imply:
% 176.47/27.33 | | | | | | | | | | | | | | | (21082) op(e0, e0) = all_65_78
% 176.47/27.33 | | | | | | | | | | | | | | |
% 176.47/27.33 | | | | | | | | | | | | | | | REDUCE: (76), (21076) imply:
% 176.47/27.33 | | | | | | | | | | | | | | | (21083) op(e0, e0) = e0
% 176.47/27.33 | | | | | | | | | | | | | | |
% 176.47/27.33 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e0, all_65_78, e0, e0,
% 176.47/27.33 | | | | | | | | | | | | | | | simplifying with (21082), (21083) gives:
% 176.47/27.33 | | | | | | | | | | | | | | | (21084) all_65_78 = e0
% 176.47/27.33 | | | | | | | | | | | | | | |
% 176.47/27.33 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_8_1, all_65_77, e0,
% 176.47/27.33 | | | | | | | | | | | | | | | e1, simplifying with (20276), (21081) gives:
% 176.47/27.33 | | | | | | | | | | | | | | | (21085) all_65_77 = all_8_1
% 176.47/27.33 | | | | | | | | | | | | | | |
% 176.47/27.33 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_13, all_65_31, e0,
% 176.47/27.33 | | | | | | | | | | | | | | | e2, simplifying with (231), (21080) gives:
% 176.47/27.33 | | | | | | | | | | | | | | | (21086) all_65_31 = all_61_13
% 176.47/27.33 | | | | | | | | | | | | | | |
% 176.47/27.33 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_12, all_65_15, e0,
% 176.47/27.33 | | | | | | | | | | | | | | | e3, simplifying with (235), (21079) gives:
% 176.47/27.33 | | | | | | | | | | | | | | | (21087) all_65_15 = all_61_12
% 176.47/27.33 | | | | | | | | | | | | | | |
% 176.47/27.33 | | | | | | | | | | | | | | | REDUCE: (665), (21086) imply:
% 176.47/27.33 | | | | | | | | | | | | | | | (21088) op(all_61_13, e0) = all_61_13
% 176.47/27.33 | | | | | | | | | | | | | | |
% 176.47/27.33 | | | | | | | | | | | | | | | BETA: splitting (164) gives:
% 176.47/27.33 | | | | | | | | | | | | | | |
% 176.47/27.33 | | | | | | | | | | | | | | | Case 1:
% 176.47/27.33 | | | | | | | | | | | | | | | |
% 176.47/27.33 | | | | | | | | | | | | | | | | (21089) ~ (all_58_1 = e1)
% 176.47/27.33 | | | | | | | | | | | | | | | |
% 176.47/27.33 | | | | | | | | | | | | | | | | REDUCE: (481), (21089) imply:
% 176.47/27.33 | | | | | | | | | | | | | | | | (21090) ~ (all_52_1 = e1)
% 176.47/27.33 | | | | | | | | | | | | | | | |
% 176.47/27.33 | | | | | | | | | | | | | | | | BETA: splitting (168) gives:
% 176.47/27.33 | | | | | | | | | | | | | | | |
% 176.47/27.33 | | | | | | | | | | | | | | | | Case 1:
% 176.47/27.33 | | | | | | | | | | | | | | | | |
% 176.47/27.33 | | | | | | | | | | | | | | | | | (21091) ~ (all_58_0 = e2)
% 176.47/27.33 | | | | | | | | | | | | | | | | |
% 176.47/27.33 | | | | | | | | | | | | | | | | | REDUCE: (484), (21091) imply:
% 176.47/27.33 | | | | | | | | | | | | | | | | | (21092) ~ (all_52_0 = e2)
% 176.47/27.33 | | | | | | | | | | | | | | | | |
% 176.47/27.33 | | | | | | | | | | | | | | | | | BETA: splitting (165) gives:
% 176.47/27.33 | | | | | | | | | | | | | | | | |
% 176.47/27.33 | | | | | | | | | | | | | | | | | Case 1:
% 176.47/27.33 | | | | | | | | | | | | | | | | | |
% 176.47/27.33 | | | | | | | | | | | | | | | | | | (21093) ~ (all_58_1 = e3)
% 176.47/27.33 | | | | | | | | | | | | | | | | | |
% 176.47/27.33 | | | | | | | | | | | | | | | | | | REDUCE: (481), (21093) imply:
% 176.47/27.33 | | | | | | | | | | | | | | | | | | (21094) ~ (all_52_1 = e3)
% 176.47/27.33 | | | | | | | | | | | | | | | | | |
% 176.47/27.33 | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (50), (150), (163), (231), (481), (536),
% 176.47/27.33 | | | | | | | | | | | | | | | | | | (731), (17713), (20351), (21077), (21088),
% 176.47/27.33 | | | | | | | | | | | | | | | | | | (21090), (21094) are inconsistent by sub-proof
% 176.47/27.33 | | | | | | | | | | | | | | | | | | #86.
% 176.47/27.33 | | | | | | | | | | | | | | | | | |
% 176.47/27.33 | | | | | | | | | | | | | | | | | Case 2:
% 176.47/27.33 | | | | | | | | | | | | | | | | | |
% 176.47/27.33 | | | | | | | | | | | | | | | | | | (21095) all_58_0 = e2
% 176.47/27.33 | | | | | | | | | | | | | | | | | |
% 176.47/27.33 | | | | | | | | | | | | | | | | | | REF_CLOSE: (484), (21092), (21095) are inconsistent by
% 176.47/27.33 | | | | | | | | | | | | | | | | | | sub-proof #356.
% 176.47/27.33 | | | | | | | | | | | | | | | | | |
% 176.47/27.33 | | | | | | | | | | | | | | | | | End of split
% 176.47/27.33 | | | | | | | | | | | | | | | | |
% 176.47/27.33 | | | | | | | | | | | | | | | | Case 2:
% 176.47/27.33 | | | | | | | | | | | | | | | | |
% 176.47/27.33 | | | | | | | | | | | | | | | | | (21096) all_58_1 = e3
% 176.47/27.33 | | | | | | | | | | | | | | | | | (21097) all_58_0 = e2
% 176.47/27.33 | | | | | | | | | | | | | | | | |
% 176.47/27.33 | | | | | | | | | | | | | | | | | COMBINE_EQS: (484), (21097) imply:
% 176.47/27.33 | | | | | | | | | | | | | | | | | (21098) all_52_0 = e2
% 176.47/27.33 | | | | | | | | | | | | | | | | |
% 176.47/27.33 | | | | | | | | | | | | | | | | | SIMP: (21098) implies:
% 176.47/27.33 | | | | | | | | | | | | | | | | | (21099) all_52_0 = e2
% 176.47/27.33 | | | | | | | | | | | | | | | | |
% 176.47/27.33 | | | | | | | | | | | | | | | | | COMBINE_EQS: (481), (21096) imply:
% 176.47/27.33 | | | | | | | | | | | | | | | | | (21100) all_52_1 = e3
% 176.47/27.33 | | | | | | | | | | | | | | | | |
% 176.47/27.33 | | | | | | | | | | | | | | | | | SIMP: (21100) implies:
% 176.47/27.33 | | | | | | | | | | | | | | | | | (21101) all_52_1 = e3
% 176.47/27.33 | | | | | | | | | | | | | | | | |
% 176.47/27.33 | | | | | | | | | | | | | | | | | REDUCE: (630), (21099) imply:
% 176.47/27.33 | | | | | | | | | | | | | | | | | (21102) ~ (all_52_3 = e2)
% 176.47/27.33 | | | | | | | | | | | | | | | | |
% 176.47/27.33 | | | | | | | | | | | | | | | | | SIMP: (21102) implies:
% 176.47/27.33 | | | | | | | | | | | | | | | | | (21103) ~ (all_52_3 = e2)
% 176.47/27.33 | | | | | | | | | | | | | | | | |
% 176.47/27.33 | | | | | | | | | | | | | | | | | REDUCE: (632), (21101) imply:
% 176.47/27.33 | | | | | | | | | | | | | | | | | (21104) ~ (all_52_3 = e3)
% 176.47/27.33 | | | | | | | | | | | | | | | | |
% 176.47/27.33 | | | | | | | | | | | | | | | | | SIMP: (21104) implies:
% 176.47/27.33 | | | | | | | | | | | | | | | | | (21105) ~ (all_52_3 = e3)
% 176.47/27.33 | | | | | | | | | | | | | | | | |
% 176.47/27.33 | | | | | | | | | | | | | | | | | REDUCE: (714), (21099) imply:
% 176.47/27.33 | | | | | | | | | | | | | | | | | (21106) op(e3, e2) = unit
% 176.47/27.33 | | | | | | | | | | | | | | | | |
% 176.47/27.33 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_6_1, unit, e2, e3,
% 176.47/27.33 | | | | | | | | | | | | | | | | | simplifying with (17771), (21106) gives:
% 176.47/27.33 | | | | | | | | | | | | | | | | | (21107) all_6_1 = unit
% 176.47/27.33 | | | | | | | | | | | | | | | | |
% 176.47/27.33 | | | | | | | | | | | | | | | | | REDUCE: (17761), (21107) imply:
% 176.47/27.34 | | | | | | | | | | | | | | | | | (21108) op(unit, e1) = all_65_18
% 176.47/27.34 | | | | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | | | | REDUCE: (17775), (21107) imply:
% 176.47/27.34 | | | | | | | | | | | | | | | | | (21109) op(e1, unit) = all_65_36
% 176.47/27.34 | | | | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e1, all_65_36, unit, e1,
% 176.47/27.34 | | | | | | | | | | | | | | | | | simplifying with (4), (21109) gives:
% 176.47/27.34 | | | | | | | | | | | | | | | | | (21110) all_65_36 = e1
% 176.47/27.34 | | | | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e1, all_65_18, e1, unit,
% 176.47/27.34 | | | | | | | | | | | | | | | | | simplifying with (8), (21108) gives:
% 176.47/27.34 | | | | | | | | | | | | | | | | | (21111) all_65_18 = e1
% 176.47/27.34 | | | | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | | | | BETA: splitting (160) gives:
% 176.47/27.34 | | | | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | | | | Case 1:
% 176.47/27.34 | | | | | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | | | | | (21112) ~ (all_58_2 = e0)
% 176.47/27.34 | | | | | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | | | | | REDUCE: (478), (21112) imply:
% 176.47/27.34 | | | | | | | | | | | | | | | | | | (21113) ~ (all_52_2 = e0)
% 176.47/27.34 | | | | | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | | | | | BETA: splitting (157) gives:
% 176.47/27.34 | | | | | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | | | | | Case 1:
% 176.47/27.34 | | | | | | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | | | | | | (21114) ~ (all_58_3 = e1)
% 176.47/27.34 | | | | | | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | | | | | | REDUCE: (475), (21114) imply:
% 176.47/27.34 | | | | | | | | | | | | | | | | | | | (21115) ~ (all_52_3 = e1)
% 176.47/27.34 | | | | | | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (50), (148), (187), (235), (269), (489),
% 176.47/27.34 | | | | | | | | | | | | | | | | | | | (539), (765), (20276), (20281), (20322), (21029),
% 176.47/27.34 | | | | | | | | | | | | | | | | | | | (21083), (21103), (21105), (21115) are
% 176.47/27.34 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #106.
% 176.47/27.34 | | | | | | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | | | | | Case 2:
% 176.47/27.34 | | | | | | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | | | | | | (21116) all_58_2 = e0
% 176.47/27.34 | | | | | | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (478), (21113), (21116) are inconsistent by
% 176.47/27.34 | | | | | | | | | | | | | | | | | | | sub-proof #436.
% 176.47/27.34 | | | | | | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | | | | | End of split
% 176.47/27.34 | | | | | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | | | | Case 2:
% 176.47/27.34 | | | | | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | | | | | (21117) all_58_3 = e1
% 176.47/27.34 | | | | | | | | | | | | | | | | | | (21118) all_58_2 = e0
% 176.47/27.34 | | | | | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (478), (21118) imply:
% 176.47/27.34 | | | | | | | | | | | | | | | | | | (21119) all_52_2 = e0
% 176.47/27.34 | | | | | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (475), (21117) imply:
% 176.47/27.34 | | | | | | | | | | | | | | | | | | (21120) all_52_3 = e1
% 176.47/27.34 | | | | | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | | | | | SIMP: (21120) implies:
% 176.47/27.34 | | | | | | | | | | | | | | | | | | (21121) all_52_3 = e1
% 176.47/27.34 | | | | | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (50), (633), (748), (20276), (21078),
% 176.47/27.34 | | | | | | | | | | | | | | | | | | (21119), (21121) are inconsistent by sub-proof
% 176.47/27.34 | | | | | | | | | | | | | | | | | | #167.
% 176.47/27.34 | | | | | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | | | | End of split
% 176.47/27.34 | | | | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | | | End of split
% 176.47/27.34 | | | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | | Case 2:
% 176.47/27.34 | | | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | | | (21122) all_58_2 = e2
% 176.47/27.34 | | | | | | | | | | | | | | | | (21123) all_58_1 = e1
% 176.47/27.34 | | | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | | | COMBINE_EQS: (481), (21123) imply:
% 176.47/27.34 | | | | | | | | | | | | | | | | (21124) all_52_1 = e1
% 176.47/27.34 | | | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | | | SIMP: (21124) implies:
% 176.47/27.34 | | | | | | | | | | | | | | | | (21125) all_52_1 = e1
% 176.47/27.34 | | | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | | | COMBINE_EQS: (478), (21122) imply:
% 176.47/27.34 | | | | | | | | | | | | | | | | (21126) all_52_2 = e2
% 176.47/27.34 | | | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | | | SIMP: (21126) implies:
% 176.47/27.34 | | | | | | | | | | | | | | | | (21127) all_52_2 = e2
% 176.47/27.34 | | | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | | | REDUCE: (731), (21125) imply:
% 176.47/27.34 | | | | | | | | | | | | | | | | (21128) op(e2, e1) = unit
% 176.47/27.34 | | | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | | | REDUCE: (748), (21127) imply:
% 176.47/27.34 | | | | | | | | | | | | | | | | (21129) op(e1, e2) = unit
% 176.47/27.34 | | | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | | | REF_CLOSE: (9), (50), (229), (232), (659), (724), (17773),
% 176.47/27.34 | | | | | | | | | | | | | | | | (21029), (21128), (21129) are inconsistent by
% 176.47/27.34 | | | | | | | | | | | | | | | | sub-proof #72.
% 176.47/27.34 | | | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | | End of split
% 176.47/27.34 | | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | End of split
% 176.47/27.34 | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | End of split
% 176.47/27.34 | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | End of split
% 176.47/27.34 | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | Case 2:
% 176.47/27.34 | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | (21130) all_42_2 = e1
% 176.47/27.34 | | | | | | | | | | | | (21131) op(e0, e1) = all_42_1 & $i(all_42_1) & ( ~
% 176.47/27.34 | | | | | | | | | | | | (all_42_1 = e3) | ( ~ (all_42_0 = e2) & op(e3,
% 176.47/27.34 | | | | | | | | | | | | e0) = all_42_0 & $i(all_42_0)))
% 176.47/27.34 | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | ALPHA: (21131) implies:
% 176.47/27.34 | | | | | | | | | | | | (21132) op(e0, e1) = all_42_1
% 176.47/27.34 | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | COMBINE_EQS: (532), (21130) imply:
% 176.47/27.34 | | | | | | | | | | | | (21133) all_20_2 = e1
% 176.47/27.34 | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | SIMP: (21133) implies:
% 176.47/27.34 | | | | | | | | | | | | (21134) all_20_2 = e1
% 176.47/27.34 | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | COMBINE_EQS: (582), (21134) imply:
% 176.47/27.34 | | | | | | | | | | | | (21135) all_50_2 = e1
% 176.47/27.34 | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | REDUCE: (617), (21134) imply:
% 176.47/27.34 | | | | | | | | | | | | (21136) ~ (all_61_7 = e1)
% 176.47/27.34 | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | REDUCE: (625), (21134) imply:
% 176.47/27.34 | | | | | | | | | | | | (21137) ~ (all_61_12 = e1)
% 176.47/27.34 | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | REDUCE: (626), (21134) imply:
% 176.47/27.34 | | | | | | | | | | | | (21138) ~ (all_61_13 = e1)
% 176.47/27.34 | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | REDUCE: (20327), (21134) imply:
% 176.47/27.34 | | | | | | | | | | | | (21139) ~ (all_8_1 = e1)
% 176.47/27.34 | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | SIMP: (21139) implies:
% 176.47/27.34 | | | | | | | | | | | | (21140) ~ (all_8_1 = e1)
% 176.47/27.34 | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | REDUCE: (697), (21134) imply:
% 176.47/27.34 | | | | | | | | | | | | (21141) op(e1, e0) = all_65_78
% 176.47/27.34 | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | REDUCE: (730), (21134) imply:
% 176.47/27.34 | | | | | | | | | | | | (21142) op(e2, e1) = all_65_31
% 176.47/27.34 | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | REDUCE: (20344), (21134) imply:
% 176.47/27.34 | | | | | | | | | | | | (21143) op(e1, e1) = all_65_77
% 176.47/27.34 | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | REDUCE: (764), (21134) imply:
% 176.47/27.34 | | | | | | | | | | | | (21144) op(e0, e1) = all_65_78
% 176.47/27.34 | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | REDUCE: (76), (21134) imply:
% 176.47/27.34 | | | | | | | | | | | | (21145) op(e0, e0) = e1
% 176.47/27.34 | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | BETA: splitting (122) gives:
% 176.47/27.34 | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | Case 1:
% 176.47/27.34 | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | (21146) ~ (all_50_2 = e1)
% 176.47/27.34 | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | REDUCE: (21135), (21146) imply:
% 176.47/27.34 | | | | | | | | | | | | | (21147) $false
% 176.47/27.34 | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | CLOSE: (21147) is inconsistent.
% 176.47/27.34 | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | Case 2:
% 176.47/27.34 | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | (21148) op(e0, e1) = all_50_1 & $i(all_50_1) & ( ~
% 176.47/27.34 | | | | | | | | | | | | | (all_50_1 = e2) | ( ~ (all_50_0 = e3) & op(e2,
% 176.47/27.34 | | | | | | | | | | | | | e0) = all_50_0 & $i(all_50_0)))
% 176.47/27.34 | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | ALPHA: (21148) implies:
% 176.47/27.34 | | | | | | | | | | | | | (21149) op(e0, e1) = all_50_1
% 176.47/27.34 | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_8_1, all_50_1, e1, e0,
% 176.47/27.34 | | | | | | | | | | | | | simplifying with (20339), (21149) gives:
% 176.47/27.34 | | | | | | | | | | | | | (21150) all_50_1 = all_8_1
% 176.47/27.34 | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_50_1, all_65_78, e1,
% 176.47/27.34 | | | | | | | | | | | | | e0, simplifying with (21144), (21149) gives:
% 176.47/27.34 | | | | | | | | | | | | | (21151) all_65_78 = all_50_1
% 176.47/27.34 | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_42_1, all_65_78, e1,
% 176.47/27.34 | | | | | | | | | | | | | e0, simplifying with (21132), (21144) gives:
% 176.47/27.34 | | | | | | | | | | | | | (21152) all_65_78 = all_42_1
% 176.47/27.34 | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e0, all_65_77, e1, e1,
% 176.47/27.34 | | | | | | | | | | | | | simplifying with (20292), (21143) gives:
% 176.47/27.34 | | | | | | | | | | | | | (21153) all_65_77 = e0
% 176.47/27.34 | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_9, all_65_31, e1,
% 176.47/27.34 | | | | | | | | | | | | | e2, simplifying with (232), (21142) gives:
% 176.47/27.34 | | | | | | | | | | | | | (21154) all_65_31 = all_61_9
% 176.47/27.34 | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | COMBINE_EQS: (21151), (21152) imply:
% 176.47/27.34 | | | | | | | | | | | | | (21155) all_50_1 = all_42_1
% 176.47/27.34 | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | SIMP: (21155) implies:
% 176.47/27.34 | | | | | | | | | | | | | (21156) all_50_1 = all_42_1
% 176.47/27.34 | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | COMBINE_EQS: (21150), (21156) imply:
% 176.47/27.34 | | | | | | | | | | | | | (21157) all_42_1 = all_8_1
% 176.47/27.34 | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | COMBINE_EQS: (21152), (21157) imply:
% 176.47/27.34 | | | | | | | | | | | | | (21158) all_65_78 = all_8_1
% 176.47/27.34 | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | REDUCE: (665), (21154) imply:
% 176.47/27.34 | | | | | | | | | | | | | (21159) op(all_61_13, e0) = all_61_9
% 176.47/27.34 | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | BETA: splitting (157) gives:
% 176.47/27.34 | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | Case 1:
% 176.47/27.34 | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | (21160) ~ (all_58_3 = e1)
% 176.47/27.34 | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | REDUCE: (475), (21160) imply:
% 176.47/27.34 | | | | | | | | | | | | | | (21161) ~ (all_52_3 = e1)
% 176.47/27.34 | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | BETA: splitting (158) gives:
% 176.47/27.34 | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | Case 1:
% 176.47/27.34 | | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | | (21162) ~ (all_58_3 = e2)
% 176.47/27.34 | | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | | REDUCE: (475), (21162) imply:
% 176.47/27.34 | | | | | | | | | | | | | | | (21163) ~ (all_52_3 = e2)
% 176.47/27.34 | | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | | BETA: splitting (159) gives:
% 176.47/27.34 | | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | | Case 1:
% 176.47/27.34 | | | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | | | (21164) ~ (all_58_3 = e3)
% 176.47/27.34 | | | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | | | REDUCE: (475), (21164) imply:
% 176.47/27.34 | | | | | | | | | | | | | | | | (21165) ~ (all_52_3 = e3)
% 176.47/27.34 | | | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | | | REF_CLOSE: (4), (50), (148), (539), (765), (20292), (21145),
% 176.47/27.34 | | | | | | | | | | | | | | | | (21161), (21163), (21165) are inconsistent by
% 176.47/27.34 | | | | | | | | | | | | | | | | sub-proof #154.
% 176.47/27.34 | | | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | | Case 2:
% 176.47/27.34 | | | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | | | (21166) all_58_3 = e3
% 176.47/27.34 | | | | | | | | | | | | | | | | (21167) all_58_0 = e0
% 176.47/27.34 | | | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | | | COMBINE_EQS: (484), (21167) imply:
% 176.47/27.34 | | | | | | | | | | | | | | | | (21168) all_52_0 = e0
% 176.47/27.34 | | | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | | | COMBINE_EQS: (475), (21166) imply:
% 176.47/27.34 | | | | | | | | | | | | | | | | (21169) all_52_3 = e3
% 176.47/27.34 | | | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | | | REDUCE: (714), (21168) imply:
% 176.47/27.34 | | | | | | | | | | | | | | | | (21170) op(e3, e0) = unit
% 176.47/27.34 | | | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | | | REDUCE: (765), (21169) imply:
% 176.47/27.34 | | | | | | | | | | | | | | | | (21171) op(e0, e3) = unit
% 176.47/27.34 | | | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_3, unit, e3, e0,
% 176.47/27.34 | | | | | | | | | | | | | | | | simplifying with (226), (21171) gives:
% 176.47/27.34 | | | | | | | | | | | | | | | | (21172) all_61_3 = unit
% 176.47/27.34 | | | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_12, unit, e0, e3,
% 176.47/27.34 | | | | | | | | | | | | | | | | simplifying with (235), (21170) gives:
% 176.47/27.34 | | | | | | | | | | | | | | | | (21173) all_61_12 = unit
% 176.47/27.34 | | | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | | | COMBINE_EQS: (506), (21172) imply:
% 176.47/27.34 | | | | | | | | | | | | | | | | (21174) all_63_12 = unit
% 176.47/27.34 | | | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | | | REDUCE: (207), (21172) imply:
% 176.47/27.34 | | | | | | | | | | | | | | | | (21175) ~ (all_61_7 = unit)
% 176.47/27.34 | | | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | | | SIMP: (21175) implies:
% 176.47/27.34 | | | | | | | | | | | | | | | | (21176) ~ (all_61_7 = unit)
% 176.47/27.34 | | | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | | | REDUCE: (17755), (21173) imply:
% 176.47/27.34 | | | | | | | | | | | | | | | | (21177) ~ (all_6_1 = unit)
% 176.47/27.34 | | | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | | | SIMP: (21177) implies:
% 176.47/27.34 | | | | | | | | | | | | | | | | (21178) ~ (all_6_1 = unit)
% 176.47/27.34 | | | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | | | REDUCE: (21030), (21173) imply:
% 176.47/27.34 | | | | | | | | | | | | | | | | (21179) ~ (unit = e2)
% 176.47/27.34 | | | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | | | REDUCE: (21137), (21173) imply:
% 176.47/27.34 | | | | | | | | | | | | | | | | (21180) ~ (unit = e1)
% 176.47/27.34 | | | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | | | BETA: splitting (259) gives:
% 176.47/27.34 | | | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | | | Case 1:
% 176.47/27.34 | | | | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | | | | (21181) all_63_12 = e3
% 176.47/27.34 | | | | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | | | | COMBINE_EQS: (21174), (21181) imply:
% 176.47/27.34 | | | | | | | | | | | | | | | | | (21182) unit = e3
% 176.47/27.34 | | | | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | | | | REDUCE: (20351), (21182) imply:
% 176.47/27.34 | | | | | | | | | | | | | | | | | (21183) $false
% 176.47/27.34 | | | | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | | | | CLOSE: (21183) is inconsistent.
% 176.47/27.34 | | | | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | | | Case 2:
% 176.47/27.34 | | | | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | | | | (21184) all_63_12 = e2 | all_63_12 = e1 | all_63_12 = e0
% 176.47/27.34 | | | | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | | | | BETA: splitting (21184) gives:
% 176.47/27.34 | | | | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | | | | Case 1:
% 176.47/27.34 | | | | | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | | | | | (21185) all_63_12 = e2
% 176.47/27.34 | | | | | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (21174), (21185) imply:
% 176.47/27.34 | | | | | | | | | | | | | | | | | | (21186) unit = e2
% 176.47/27.34 | | | | | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | | | | | REDUCE: (21179), (21186) imply:
% 176.47/27.34 | | | | | | | | | | | | | | | | | | (21187) $false
% 176.47/27.34 | | | | | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | | | | | CLOSE: (21187) is inconsistent.
% 176.47/27.34 | | | | | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | | | | Case 2:
% 176.47/27.34 | | | | | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | | | | | (21188) all_63_12 = e1 | all_63_12 = e0
% 176.47/27.34 | | | | | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | | | | | BETA: splitting (21188) gives:
% 176.47/27.34 | | | | | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | | | | | Case 1:
% 176.47/27.34 | | | | | | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | | | | | | (21189) all_63_12 = e1
% 176.47/27.34 | | | | | | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (21174), (21189) imply:
% 176.47/27.34 | | | | | | | | | | | | | | | | | | | (21190) unit = e1
% 176.47/27.34 | | | | | | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | | | | | | REDUCE: (21180), (21190) imply:
% 176.47/27.34 | | | | | | | | | | | | | | | | | | | (21191) $false
% 176.47/27.34 | | | | | | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | | | | | | CLOSE: (21191) is inconsistent.
% 176.47/27.34 | | | | | | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | | | | | Case 2:
% 176.47/27.34 | | | | | | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | | | | | | (21192) all_63_12 = e0
% 176.47/27.34 | | | | | | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (21174), (21192) imply:
% 176.47/27.34 | | | | | | | | | | | | | | | | | | | (21193) unit = e0
% 176.47/27.34 | | | | | | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | | | | | | REDUCE: (21176), (21193) imply:
% 176.47/27.34 | | | | | | | | | | | | | | | | | | | (21194) ~ (all_61_7 = e0)
% 176.47/27.34 | | | | | | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | | | | | | REDUCE: (21178), (21193) imply:
% 176.47/27.34 | | | | | | | | | | | | | | | | | | | (21195) ~ (all_6_1 = e0)
% 176.47/27.34 | | | | | | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | | | | | | BETA: splitting (258) gives:
% 176.47/27.34 | | | | | | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | | | | | | Case 1:
% 176.47/27.34 | | | | | | | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | | | | | | | (21196) all_63_13 = e3
% 176.47/27.34 | | | | | | | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (508), (17704), (21196) are inconsistent by
% 176.47/27.34 | | | | | | | | | | | | | | | | | | | | sub-proof #526.
% 176.47/27.34 | | | | | | | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | | | | | | Case 2:
% 176.47/27.34 | | | | | | | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | | | | | | | (21197) all_63_13 = e2 | all_63_13 = e1 | all_63_13 = e0
% 176.47/27.34 | | | | | | | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | | | | | | | BETA: splitting (267) gives:
% 176.47/27.34 | | | | | | | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.47/27.34 | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | | | | | | | | (21198) all_63_4 = e3
% 176.47/27.34 | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (17738), (21198) imply:
% 176.47/27.34 | | | | | | | | | | | | | | | | | | | | | (21199) all_6_1 = e3
% 176.47/27.34 | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | | | | | | | | REDUCE: (17758), (21199) imply:
% 176.47/27.34 | | | | | | | | | | | | | | | | | | | | | (21200) $false
% 176.47/27.34 | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | | | | | | | | CLOSE: (21200) is inconsistent.
% 176.47/27.34 | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.47/27.34 | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | | | | | | | | (21201) all_63_4 = e2 | all_63_4 = e1 | all_63_4 = e0
% 176.47/27.34 | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (21197) gives:
% 176.47/27.34 | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.47/27.34 | | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | | | | | | | | | (21202) all_63_13 = e2
% 176.47/27.34 | | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (508), (21202) imply:
% 176.47/27.34 | | | | | | | | | | | | | | | | | | | | | | (21203) all_61_7 = e2
% 176.47/27.34 | | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | | | | | | | | | SIMP: (21203) implies:
% 176.47/27.34 | | | | | | | | | | | | | | | | | | | | | | (21204) all_61_7 = e2
% 176.47/27.34 | | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (195), (21204) imply:
% 176.47/27.34 | | | | | | | | | | | | | | | | | | | | | | (21205) ~ (all_61_6 = e2)
% 176.47/27.34 | | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (21201) gives:
% 176.47/27.34 | | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.47/27.34 | | | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | | | | | | | | | | (21206) all_63_4 = e2
% 176.47/27.34 | | | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (17738), (21206) imply:
% 176.47/27.34 | | | | | | | | | | | | | | | | | | | | | | | (21207) all_6_1 = e2
% 176.47/27.34 | | | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (21032), (21207) imply:
% 176.47/27.34 | | | | | | | | | | | | | | | | | | | | | | | (21208) $false
% 176.47/27.34 | | | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (21208) is inconsistent.
% 176.47/27.34 | | | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.47/27.34 | | | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | | | | | | | | | | (21209) all_63_4 = e1 | all_63_4 = e0
% 176.47/27.34 | | | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (21209) gives:
% 176.47/27.34 | | | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.47/27.34 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | | | | | | | | | | | (21210) all_63_4 = e1
% 176.47/27.34 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (17738), (21210) imply:
% 176.47/27.34 | | | | | | | | | | | | | | | | | | | | | | | | (21211) all_6_1 = e1
% 176.47/27.34 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17749), (21211) imply:
% 176.47/27.34 | | | | | | | | | | | | | | | | | | | | | | | | (21212) ~ (all_61_6 = e1)
% 176.47/27.34 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (262) gives:
% 176.47/27.34 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.47/27.34 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | (21213) all_63_9 = e3
% 176.47/27.34 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (501), (21213) imply:
% 176.47/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | (21214) all_61_6 = e3
% 176.47/27.34 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17703), (21214) imply:
% 176.47/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | (21215) $false
% 176.47/27.34 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (21215) is inconsistent.
% 176.47/27.34 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.47/27.34 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | (21216) all_63_9 = e2 | all_63_9 = e1 | all_63_9 = e0
% 176.47/27.34 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (501), (20280), (21205), (21212), (21216) are
% 176.47/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #178.
% 176.47/27.34 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.47/27.34 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.47/27.34 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | | | | | | | | | | | (21217) all_63_4 = e0
% 176.47/27.34 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (17738), (21217) imply:
% 176.47/27.34 | | | | | | | | | | | | | | | | | | | | | | | | (21218) all_6_1 = e0
% 176.47/27.34 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (21195), (21218) imply:
% 176.47/27.34 | | | | | | | | | | | | | | | | | | | | | | | | (21219) $false
% 176.47/27.34 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (21219) is inconsistent.
% 176.47/27.34 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.47/27.34 | | | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.47/27.34 | | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.47/27.34 | | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | | | | | | | | | (21220) all_63_13 = e1 | all_63_13 = e0
% 176.47/27.34 | | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (508), (21136), (21194), (21220) are inconsistent
% 176.47/27.34 | | | | | | | | | | | | | | | | | | | | | | by sub-proof #445.
% 176.47/27.34 | | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | | | | | | | | End of split
% 176.47/27.34 | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | | | | | | | End of split
% 176.47/27.34 | | | | | | | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | | | | | | End of split
% 176.47/27.34 | | | | | | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | | | | | End of split
% 176.47/27.34 | | | | | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | | | | End of split
% 176.47/27.34 | | | | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | | | End of split
% 176.47/27.34 | | | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | | End of split
% 176.47/27.34 | | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | Case 2:
% 176.47/27.34 | | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | | (21221) all_58_1 = e0
% 176.47/27.34 | | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | | COMBINE_EQS: (481), (21221) imply:
% 176.47/27.34 | | | | | | | | | | | | | | | (21222) all_52_1 = e0
% 176.47/27.34 | | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | | SIMP: (21222) implies:
% 176.47/27.34 | | | | | | | | | | | | | | | (21223) all_52_1 = e0
% 176.47/27.34 | | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | | REDUCE: (731), (21223) imply:
% 176.47/27.34 | | | | | | | | | | | | | | | (21224) op(e2, e0) = unit
% 176.47/27.34 | | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | | REF_CLOSE: (7), (50), (231), (20282), (21159), (21224) are
% 176.47/27.34 | | | | | | | | | | | | | | | inconsistent by sub-proof #59.
% 176.47/27.34 | | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | End of split
% 176.47/27.34 | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | Case 2:
% 176.47/27.34 | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | (21225) all_58_2 = e0
% 176.47/27.34 | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | COMBINE_EQS: (478), (21225) imply:
% 176.47/27.34 | | | | | | | | | | | | | | (21226) all_52_2 = e0
% 176.47/27.34 | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | SIMP: (21226) implies:
% 176.47/27.34 | | | | | | | | | | | | | | (21227) all_52_2 = e0
% 176.47/27.34 | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | REDUCE: (748), (21227) imply:
% 176.47/27.34 | | | | | | | | | | | | | | (21228) op(e1, e0) = unit
% 176.47/27.34 | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_8_1, unit, e0, e1,
% 176.47/27.34 | | | | | | | | | | | | | | simplifying with (20276), (21228) gives:
% 176.47/27.34 | | | | | | | | | | | | | | (21229) all_8_1 = unit
% 176.47/27.34 | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | REDUCE: (20320), (21229) imply:
% 176.47/27.34 | | | | | | | | | | | | | | (21230) ~ (all_61_6 = unit)
% 176.47/27.34 | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | REDUCE: (20325), (21229) imply:
% 176.47/27.34 | | | | | | | | | | | | | | (21231) ~ (all_61_13 = unit)
% 176.47/27.34 | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | REDUCE: (21140), (21229) imply:
% 176.47/27.34 | | | | | | | | | | | | | | (21232) ~ (unit = e1)
% 176.47/27.34 | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | REDUCE: (20328), (21229) imply:
% 176.47/27.34 | | | | | | | | | | | | | | (21233) ~ (unit = e0)
% 176.47/27.34 | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | BETA: splitting (20352) gives:
% 176.47/27.34 | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | Case 1:
% 176.47/27.34 | | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | | (21234) unit = e2
% 176.47/27.34 | | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | | REDUCE: (21230), (21234) imply:
% 176.47/27.34 | | | | | | | | | | | | | | | (21235) ~ (all_61_6 = e2)
% 176.47/27.34 | | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | | REDUCE: (21231), (21234) imply:
% 176.47/27.34 | | | | | | | | | | | | | | | (21236) ~ (all_61_13 = e2)
% 176.47/27.34 | | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | | BETA: splitting (262) gives:
% 176.47/27.34 | | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | | Case 1:
% 176.47/27.34 | | | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | | | (21237) all_63_9 = e3
% 176.47/27.34 | | | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | | | COMBINE_EQS: (501), (21237) imply:
% 176.47/27.34 | | | | | | | | | | | | | | | | (21238) all_61_6 = e3
% 176.47/27.34 | | | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | | | REDUCE: (17703), (21238) imply:
% 176.47/27.34 | | | | | | | | | | | | | | | | (21239) $false
% 176.47/27.34 | | | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | | | CLOSE: (21239) is inconsistent.
% 176.47/27.34 | | | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | | Case 2:
% 176.47/27.34 | | | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | | | (21240) all_63_9 = e2 | all_63_9 = e1 | all_63_9 = e0
% 176.47/27.34 | | | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | | | BETA: splitting (21240) gives:
% 176.47/27.34 | | | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | | | Case 1:
% 176.47/27.34 | | | | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | | | | (21241) all_63_9 = e2
% 176.47/27.34 | | | | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | | | | COMBINE_EQS: (501), (21241) imply:
% 176.47/27.34 | | | | | | | | | | | | | | | | | (21242) all_61_6 = e2
% 176.47/27.34 | | | | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | | | | REDUCE: (21235), (21242) imply:
% 176.47/27.34 | | | | | | | | | | | | | | | | | (21243) $false
% 176.47/27.34 | | | | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | | | | CLOSE: (21243) is inconsistent.
% 176.47/27.34 | | | | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | | | Case 2:
% 176.47/27.34 | | | | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | | | | (21244) all_63_9 = e1 | all_63_9 = e0
% 176.47/27.34 | | | | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | | | | BETA: splitting (264) gives:
% 176.47/27.34 | | | | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | | | | Case 1:
% 176.47/27.34 | | | | | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | | | | | (21245) all_63_7 = e3
% 176.47/27.34 | | | | | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (498), (21245) imply:
% 176.47/27.34 | | | | | | | | | | | | | | | | | | (21246) all_61_13 = e3
% 176.47/27.34 | | | | | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | | | | | REDUCE: (17706), (21246) imply:
% 176.47/27.34 | | | | | | | | | | | | | | | | | | (21247) $false
% 176.47/27.34 | | | | | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | | | | | CLOSE: (21247) is inconsistent.
% 176.47/27.34 | | | | | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | | | | Case 2:
% 176.47/27.34 | | | | | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | | | | | (21248) all_63_7 = e2 | all_63_7 = e1 | all_63_7 = e0
% 176.47/27.34 | | | | | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | | | | | BETA: splitting (21248) gives:
% 176.47/27.34 | | | | | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | | | | | Case 1:
% 176.47/27.34 | | | | | | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | | | | | | (21249) all_63_7 = e2
% 176.47/27.34 | | | | | | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (498), (21249) imply:
% 176.47/27.34 | | | | | | | | | | | | | | | | | | | (21250) all_61_13 = e2
% 176.47/27.34 | | | | | | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | | | | | | REDUCE: (21236), (21250) imply:
% 176.47/27.34 | | | | | | | | | | | | | | | | | | | (21251) $false
% 176.47/27.34 | | | | | | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | | | | | | CLOSE: (21251) is inconsistent.
% 176.47/27.34 | | | | | | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | | | | | Case 2:
% 176.47/27.34 | | | | | | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | | | | | | (21252) all_63_7 = e1 | all_63_7 = e0
% 176.47/27.34 | | | | | | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | | | | | | BETA: splitting (21244) gives:
% 176.47/27.34 | | | | | | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | | | | | | Case 1:
% 176.47/27.34 | | | | | | | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | | | | | | | (21253) all_63_9 = e1
% 176.47/27.34 | | | | | | | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (501), (21253) imply:
% 176.47/27.34 | | | | | | | | | | | | | | | | | | | | (21254) all_61_6 = e1
% 176.47/27.34 | | | | | | | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | | | | | | | REDUCE: (17749), (21254) imply:
% 176.47/27.34 | | | | | | | | | | | | | | | | | | | | (21255) ~ (all_6_1 = e1)
% 176.47/27.34 | | | | | | | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | | | | | | | SIMP: (21255) implies:
% 176.47/27.34 | | | | | | | | | | | | | | | | | | | | (21256) ~ (all_6_1 = e1)
% 176.47/27.34 | | | | | | | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | | | | | | | BETA: splitting (21252) gives:
% 176.47/27.34 | | | | | | | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.47/27.34 | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | | | | | | | | (21257) all_63_7 = e1
% 176.47/27.34 | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (498), (21138), (21257) are inconsistent by
% 176.47/27.34 | | | | | | | | | | | | | | | | | | | | | sub-proof #114.
% 176.47/27.34 | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.47/27.34 | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | | | | | | | | (21258) all_63_7 = e0
% 176.47/27.34 | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (498), (21258) imply:
% 176.47/27.34 | | | | | | | | | | | | | | | | | | | | | (21259) all_61_13 = e0
% 176.47/27.34 | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | | | | | | | | SIMP: (21259) implies:
% 176.47/27.34 | | | | | | | | | | | | | | | | | | | | | (21260) all_61_13 = e0
% 176.47/27.34 | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | | | | | | | | REDUCE: (17747), (21260) imply:
% 176.47/27.34 | | | | | | | | | | | | | | | | | | | | | (21261) ~ (all_6_1 = e0)
% 176.47/27.34 | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | | | | | | | | SIMP: (21261) implies:
% 176.47/27.34 | | | | | | | | | | | | | | | | | | | | | (21262) ~ (all_6_1 = e0)
% 176.47/27.34 | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (267), (17738), (17758), (21032), (21256), (21262)
% 176.47/27.34 | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #93.
% 176.47/27.34 | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | | | | | | | End of split
% 176.47/27.34 | | | | | | | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | | | | | | Case 2:
% 176.47/27.34 | | | | | | | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | | | | | | | (21263) all_63_9 = e0
% 176.47/27.34 | | | | | | | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (501), (21263) imply:
% 176.47/27.34 | | | | | | | | | | | | | | | | | | | | (21264) all_61_6 = e0
% 176.47/27.34 | | | | | | | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | | | | | | | REDUCE: (20280), (21264) imply:
% 176.47/27.34 | | | | | | | | | | | | | | | | | | | | (21265) $false
% 176.47/27.34 | | | | | | | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | | | | | | | CLOSE: (21265) is inconsistent.
% 176.47/27.34 | | | | | | | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | | | | | | End of split
% 176.47/27.34 | | | | | | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | | | | | End of split
% 176.47/27.34 | | | | | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | | | | End of split
% 176.47/27.34 | | | | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | | | End of split
% 176.47/27.34 | | | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | | End of split
% 176.47/27.34 | | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | Case 2:
% 176.47/27.34 | | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | | (21266) unit = e1 | unit = e0
% 176.47/27.34 | | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | | REF_CLOSE: (21232), (21233), (21266) are inconsistent by
% 176.47/27.34 | | | | | | | | | | | | | | | sub-proof #419.
% 176.47/27.34 | | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | | End of split
% 176.47/27.34 | | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | | End of split
% 176.47/27.34 | | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | End of split
% 176.47/27.34 | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | End of split
% 176.47/27.34 | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | Case 2:
% 176.47/27.34 | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | (21267) all_28_2 = e3
% 176.47/27.34 | | | | | | | | | | | (21268) op(e0, e3) = all_28_1 & $i(all_28_1) & ( ~
% 176.47/27.34 | | | | | | | | | | | (all_28_1 = e2) | ( ~ (all_28_0 = e1) & op(e2,
% 176.47/27.34 | | | | | | | | | | | e0) = all_28_0 & $i(all_28_0)))
% 176.47/27.34 | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | ALPHA: (21268) implies:
% 176.47/27.34 | | | | | | | | | | | (21269) op(e0, e3) = all_28_1
% 176.47/27.34 | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | COMBINE_EQS: (563), (21267) imply:
% 176.47/27.34 | | | | | | | | | | | (21270) all_20_2 = e3
% 176.47/27.34 | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | SIMP: (21270) implies:
% 176.47/27.34 | | | | | | | | | | | (21271) all_20_2 = e3
% 176.47/27.34 | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | COMBINE_EQS: (555), (21271) imply:
% 176.47/27.34 | | | | | | | | | | | (21272) all_34_2 = e3
% 176.47/27.34 | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | REDUCE: (696), (21271) imply:
% 176.47/27.34 | | | | | | | | | | | (21273) op(e3, e1) = all_65_77
% 176.47/27.34 | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | REDUCE: (697), (21271) imply:
% 176.47/27.34 | | | | | | | | | | | (21274) op(e3, e0) = all_65_78
% 176.47/27.34 | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | REDUCE: (20331), (21271) imply:
% 176.47/27.34 | | | | | | | | | | | (21275) op(all_8_1, e1) = e3
% 176.47/27.34 | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | REDUCE: (20344), (21271) imply:
% 176.47/27.34 | | | | | | | | | | | (21276) op(e1, e3) = all_65_77
% 176.47/27.34 | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | REDUCE: (764), (21271) imply:
% 176.47/27.34 | | | | | | | | | | | (21277) op(e0, e3) = all_65_78
% 176.47/27.34 | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | REDUCE: (76), (21271) imply:
% 176.47/27.34 | | | | | | | | | | | (21278) op(e0, e0) = e3
% 176.47/27.34 | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | BETA: splitting (98) gives:
% 176.47/27.34 | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | Case 1:
% 176.47/27.34 | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | (21279) ~ (all_34_2 = e3)
% 176.47/27.34 | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | REDUCE: (21272), (21279) imply:
% 176.47/27.34 | | | | | | | | | | | | (21280) $false
% 176.47/27.34 | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | CLOSE: (21280) is inconsistent.
% 176.47/27.34 | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | Case 2:
% 176.47/27.34 | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | (21281) op(e0, e3) = all_34_1 & $i(all_34_1) & ( ~
% 176.47/27.34 | | | | | | | | | | | | (all_34_1 = e1) | ( ~ (all_34_0 = e2) & op(e1,
% 176.47/27.34 | | | | | | | | | | | | e0) = all_34_0 & $i(all_34_0)))
% 176.47/27.34 | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | ALPHA: (21281) implies:
% 176.47/27.34 | | | | | | | | | | | | (21282) op(e0, e3) = all_34_1
% 176.47/27.34 | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_3, all_65_78, e3,
% 176.47/27.34 | | | | | | | | | | | | e0, simplifying with (226), (21277) gives:
% 176.47/27.34 | | | | | | | | | | | | (21283) all_65_78 = all_61_3
% 176.47/27.34 | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_34_1, all_65_78, e3,
% 176.47/27.34 | | | | | | | | | | | | e0, simplifying with (21277), (21282) gives:
% 176.47/27.34 | | | | | | | | | | | | (21284) all_65_78 = all_34_1
% 176.47/27.34 | | | | | | | | | | | |
% 176.47/27.34 | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_28_1, all_65_78, e3,
% 176.47/27.34 | | | | | | | | | | | | e0, simplifying with (21269), (21277) gives:
% 176.47/27.34 | | | | | | | | | | | | (21285) all_65_78 = all_28_1
% 176.47/27.34 | | | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_2, all_65_77, e3,
% 176.47/27.35 | | | | | | | | | | | | e1, simplifying with (230), (21276) gives:
% 176.47/27.35 | | | | | | | | | | | | (21286) all_65_77 = all_61_2
% 176.47/27.35 | | | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_12, all_65_78, e0,
% 176.47/27.35 | | | | | | | | | | | | e3, simplifying with (235), (21274) gives:
% 176.47/27.35 | | | | | | | | | | | | (21287) all_65_78 = all_61_12
% 176.47/27.35 | | | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_8, all_65_77, e1,
% 176.47/27.35 | | | | | | | | | | | | e3, simplifying with (236), (21273) gives:
% 176.47/27.35 | | | | | | | | | | | | (21288) all_65_77 = all_61_8
% 176.47/27.35 | | | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | | | COMBINE_EQS: (21286), (21288) imply:
% 176.47/27.35 | | | | | | | | | | | | (21289) all_61_2 = all_61_8
% 176.47/27.35 | | | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | | | COMBINE_EQS: (21283), (21285) imply:
% 176.47/27.35 | | | | | | | | | | | | (21290) all_61_3 = all_28_1
% 176.47/27.35 | | | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | | | COMBINE_EQS: (21283), (21284) imply:
% 176.47/27.35 | | | | | | | | | | | | (21291) all_61_3 = all_34_1
% 176.47/27.35 | | | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | | | COMBINE_EQS: (21283), (21287) imply:
% 176.47/27.35 | | | | | | | | | | | | (21292) all_61_3 = all_61_12
% 176.47/27.35 | | | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | | | COMBINE_EQS: (21290), (21292) imply:
% 176.47/27.35 | | | | | | | | | | | | (21293) all_61_12 = all_28_1
% 176.47/27.35 | | | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | | | COMBINE_EQS: (21291), (21292) imply:
% 176.47/27.35 | | | | | | | | | | | | (21294) all_61_12 = all_34_1
% 176.47/27.35 | | | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | | | COMBINE_EQS: (21293), (21294) imply:
% 176.47/27.35 | | | | | | | | | | | | (21295) all_34_1 = all_28_1
% 176.47/27.35 | | | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | | | REDUCE: (21030), (21293) imply:
% 176.47/27.35 | | | | | | | | | | | | (21296) ~ (all_28_1 = e2)
% 176.47/27.35 | | | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | | | REDUCE: (21054), (21289) imply:
% 176.47/27.35 | | | | | | | | | | | | (21297) op(all_61_8, e3) = all_61_6
% 176.47/27.35 | | | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | | | REDUCE: (21055), (21290) imply:
% 176.47/27.35 | | | | | | | | | | | | (21298) op(all_28_1, e3) = all_61_7
% 176.47/27.35 | | | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | | | REDUCE: (17767), (21289) imply:
% 176.47/27.35 | | | | | | | | | | | | (21299) op(all_61_6, e2) = all_61_8
% 176.47/27.35 | | | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | | | REDUCE: (17768), (21290) imply:
% 176.47/27.35 | | | | | | | | | | | | (21300) op(all_61_7, e2) = all_28_1
% 176.47/27.35 | | | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | | | REDUCE: (646), (21293) imply:
% 176.47/27.35 | | | | | | | | | | | | (21301) op(all_28_1, e3) = all_65_12
% 176.47/27.35 | | | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | | | REDUCE: (706), (21289) imply:
% 176.47/27.35 | | | | | | | | | | | | (21302) op(e3, all_61_8) = all_65_8
% 176.47/27.35 | | | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | | | REDUCE: (710), (21290) imply:
% 176.47/27.35 | | | | | | | | | | | | (21303) op(e3, all_28_1) = all_65_12
% 176.47/27.35 | | | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | | | REDUCE: (21057), (21293) imply:
% 176.47/27.35 | | | | | | | | | | | | (21304) op(e3, all_28_1) = all_61_13
% 176.47/27.35 | | | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_13, all_65_12,
% 176.47/27.35 | | | | | | | | | | | | all_28_1, e3, simplifying with (21303), (21304)
% 176.47/27.35 | | | | | | | | | | | | gives:
% 176.47/27.35 | | | | | | | | | | | | (21305) all_65_12 = all_61_13
% 176.47/27.35 | | | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_9, all_65_8,
% 176.47/27.35 | | | | | | | | | | | | all_61_8, e3, simplifying with (21056), (21302)
% 176.47/27.35 | | | | | | | | | | | | gives:
% 176.47/27.35 | | | | | | | | | | | | (21306) all_65_8 = all_61_9
% 176.47/27.35 | | | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_7, all_65_12, e3,
% 176.47/27.35 | | | | | | | | | | | | all_28_1, simplifying with (21298), (21301) gives:
% 176.47/27.35 | | | | | | | | | | | | (21307) all_65_12 = all_61_7
% 176.47/27.35 | | | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_8, all_61_6, e3,
% 176.47/27.35 | | | | | | | | | | | | all_61_8, simplifying with (642), (21297) gives:
% 176.47/27.35 | | | | | | | | | | | | (21308) all_65_8 = all_61_6
% 176.47/27.35 | | | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | | | COMBINE_EQS: (21306), (21308) imply:
% 176.47/27.35 | | | | | | | | | | | | (21309) all_61_6 = all_61_9
% 176.47/27.35 | | | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | | | COMBINE_EQS: (21305), (21307) imply:
% 176.47/27.35 | | | | | | | | | | | | (21310) all_61_7 = all_61_13
% 176.47/27.35 | | | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | | | SIMP: (21310) implies:
% 176.47/27.35 | | | | | | | | | | | | (21311) all_61_7 = all_61_13
% 176.47/27.35 | | | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | | | REDUCE: (21299), (21309) imply:
% 176.47/27.35 | | | | | | | | | | | | (21312) op(all_61_9, e2) = all_61_8
% 176.47/27.35 | | | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | | | REDUCE: (21300), (21311) imply:
% 176.47/27.35 | | | | | | | | | | | | (21313) op(all_61_13, e2) = all_28_1
% 176.47/27.35 | | | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | | | REDUCE: (724), (21309) imply:
% 176.47/27.35 | | | | | | | | | | | | (21314) op(e2, all_61_9) = all_65_25
% 176.47/27.35 | | | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_29, all_28_1, e2,
% 176.47/27.35 | | | | | | | | | | | | all_61_13, simplifying with (663), (21313) gives:
% 176.47/27.35 | | | | | | | | | | | | (21315) all_65_29 = all_28_1
% 176.47/27.35 | | | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_25, all_61_8, e2,
% 176.47/27.35 | | | | | | | | | | | | all_61_9, simplifying with (659), (21312) gives:
% 176.47/27.35 | | | | | | | | | | | | (21316) all_65_25 = all_61_8
% 176.47/27.35 | | | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | | | BETA: splitting (157) gives:
% 176.47/27.35 | | | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | | | Case 1:
% 176.47/27.35 | | | | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | | | | (21317) ~ (all_58_3 = e1)
% 176.47/27.35 | | | | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | | | | REDUCE: (475), (21317) imply:
% 176.47/27.35 | | | | | | | | | | | | | (21318) ~ (all_52_3 = e1)
% 176.47/27.35 | | | | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | | | | BETA: splitting (161) gives:
% 176.47/27.35 | | | | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | | | | Case 1:
% 176.47/27.35 | | | | | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | | | | | (21319) ~ (all_58_2 = e2)
% 176.47/27.35 | | | | | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | | | | | REDUCE: (478), (21319) imply:
% 176.47/27.35 | | | | | | | | | | | | | | (21320) ~ (all_52_2 = e2)
% 176.47/27.35 | | | | | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | | | | | BETA: splitting (164) gives:
% 176.47/27.35 | | | | | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | | | | | Case 1:
% 176.47/27.35 | | | | | | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | | | | | | (21321) ~ (all_58_1 = e1)
% 176.47/27.35 | | | | | | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | | | | | | REDUCE: (481), (21321) imply:
% 176.47/27.35 | | | | | | | | | | | | | | | (21322) ~ (all_52_1 = e1)
% 176.47/27.35 | | | | | | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | | | | | | BETA: splitting (163) gives:
% 176.47/27.35 | | | | | | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | | | | | | Case 1:
% 176.47/27.35 | | | | | | | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | | | | | | | (21323) ~ (all_58_1 = e0)
% 176.47/27.35 | | | | | | | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | | | | | | | REDUCE: (481), (21323) imply:
% 176.47/27.35 | | | | | | | | | | | | | | | | (21324) ~ (all_52_1 = e0)
% 176.47/27.35 | | | | | | | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | | | | | | | BETA: splitting (159) gives:
% 176.47/27.35 | | | | | | | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | | | | | | | Case 1:
% 176.47/27.35 | | | | | | | | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | | | | | | | | (21325) ~ (all_58_3 = e3)
% 176.47/27.35 | | | | | | | | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | | | | | | | | REDUCE: (475), (21325) imply:
% 176.47/27.35 | | | | | | | | | | | | | | | | | (21326) ~ (all_52_3 = e3)
% 176.47/27.35 | | | | | | | | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | | | | | | | | REF_CLOSE: (50), (148), (158), (475), (481), (539), (765),
% 176.47/27.35 | | | | | | | | | | | | | | | | | (20351), (21278), (21318), (21324), (21326) are
% 176.47/27.35 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #438.
% 176.47/27.35 | | | | | | | | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | | | | | | | Case 2:
% 176.47/27.35 | | | | | | | | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | | | | | | | | (21327) all_58_3 = e3
% 176.47/27.35 | | | | | | | | | | | | | | | | | (21328) all_58_0 = e0
% 176.47/27.35 | | | | | | | | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | | | | | | | | COMBINE_EQS: (484), (21328) imply:
% 176.47/27.35 | | | | | | | | | | | | | | | | | (21329) all_52_0 = e0
% 176.47/27.35 | | | | | | | | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | | | | | | | | SIMP: (21329) implies:
% 176.47/27.35 | | | | | | | | | | | | | | | | | (21330) all_52_0 = e0
% 176.47/27.35 | | | | | | | | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | | | | | | | | COMBINE_EQS: (475), (21327) imply:
% 176.47/27.35 | | | | | | | | | | | | | | | | | (21331) all_52_3 = e3
% 176.47/27.35 | | | | | | | | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | | | | | | | | REDUCE: (629), (21330) imply:
% 176.47/27.35 | | | | | | | | | | | | | | | | | (21332) ~ (all_52_2 = e0)
% 176.47/27.35 | | | | | | | | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | | | | | | | | SIMP: (21332) implies:
% 176.47/27.35 | | | | | | | | | | | | | | | | | (21333) ~ (all_52_2 = e0)
% 176.47/27.35 | | | | | | | | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | | | | | | | | REDUCE: (633), (21331) imply:
% 176.47/27.35 | | | | | | | | | | | | | | | | | (21334) ~ (all_52_2 = e3)
% 176.47/27.35 | | | | | | | | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | | | | | | | | BETA: splitting (161) gives:
% 176.47/27.35 | | | | | | | | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | | | | | | | | Case 1:
% 176.47/27.35 | | | | | | | | | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (50), (149), (538), (748), (20292), (20351),
% 176.47/27.35 | | | | | | | | | | | | | | | | | | (21278), (21320), (21333), (21334) are
% 176.47/27.35 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #56.
% 176.47/27.35 | | | | | | | | | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | | | | | | | | Case 2:
% 176.47/27.35 | | | | | | | | | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | | | | | | | | | (21335) all_58_1 = e1
% 176.47/27.35 | | | | | | | | | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | | | | | | | | | REF_CLOSE: (481), (21322), (21335) are inconsistent by
% 176.47/27.35 | | | | | | | | | | | | | | | | | | sub-proof #424.
% 176.47/27.35 | | | | | | | | | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | | | | | | | | End of split
% 176.47/27.35 | | | | | | | | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | | | | | | | End of split
% 176.47/27.35 | | | | | | | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | | | | | | Case 2:
% 176.47/27.35 | | | | | | | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | | | | | | | (21336) all_58_1 = e0
% 176.47/27.35 | | | | | | | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | | | | | | | COMBINE_EQS: (481), (21336) imply:
% 176.47/27.35 | | | | | | | | | | | | | | | | (21337) all_52_1 = e0
% 176.47/27.35 | | | | | | | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | | | | | | | SIMP: (21337) implies:
% 176.47/27.35 | | | | | | | | | | | | | | | | (21338) all_52_1 = e0
% 176.47/27.35 | | | | | | | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | | | | | | | REDUCE: (731), (21338) imply:
% 176.47/27.35 | | | | | | | | | | | | | | | | (21339) op(e2, e0) = unit
% 176.47/27.35 | | | | | | | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | | | | | | | REF_CLOSE: (9), (50), (231), (21296), (21313), (21339) are
% 176.47/27.35 | | | | | | | | | | | | | | | | inconsistent by sub-proof #62.
% 176.47/27.35 | | | | | | | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | | | | | | End of split
% 176.47/27.35 | | | | | | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | | | | | Case 2:
% 176.47/27.35 | | | | | | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | | | | | | (21340) all_58_2 = e2
% 176.47/27.35 | | | | | | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | | | | | | REF_CLOSE: (478), (21320), (21340) are inconsistent by
% 176.47/27.35 | | | | | | | | | | | | | | | sub-proof #433.
% 176.47/27.35 | | | | | | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | | | | | End of split
% 176.47/27.35 | | | | | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | | | | Case 2:
% 176.47/27.35 | | | | | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | | | | | (21341) all_58_2 = e2
% 176.47/27.35 | | | | | | | | | | | | | | (21342) all_58_1 = e1
% 176.47/27.35 | | | | | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | | | | | REF_CLOSE: (9), (50), (229), (232), (478), (481), (659),
% 176.47/27.35 | | | | | | | | | | | | | | (724), (731), (748), (17773), (21029), (21341),
% 176.47/27.35 | | | | | | | | | | | | | | (21342) are inconsistent by sub-proof #70.
% 176.47/27.35 | | | | | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | | | | End of split
% 176.47/27.35 | | | | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | | | Case 2:
% 176.47/27.35 | | | | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | | | | (21343) all_58_2 = e0
% 176.47/27.35 | | | | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | | | | REF_CLOSE: (8), (22), (50), (478), (748), (20276), (21275),
% 176.47/27.35 | | | | | | | | | | | | | (21343) are inconsistent by sub-proof #110.
% 176.47/27.35 | | | | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | | | End of split
% 176.47/27.35 | | | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | | End of split
% 176.47/27.35 | | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | End of split
% 176.47/27.35 | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | Case 2:
% 176.47/27.35 | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | (21344) all_20_2 = e2
% 176.47/27.35 | | | | | | | | | | (21345) op(e0, e2) = all_20_1 & $i(all_20_1) & ( ~
% 176.47/27.35 | | | | | | | | | | (all_20_1 = e1) | ( ~ (all_20_0 = e3) & op(e1,
% 176.47/27.35 | | | | | | | | | | e0) = all_20_0 & $i(all_20_0)))
% 176.47/27.35 | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | ALPHA: (21345) implies:
% 176.47/27.35 | | | | | | | | | | (21346) op(e0, e2) = all_20_1
% 176.47/27.35 | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | REDUCE: (606), (21344) imply:
% 176.47/27.35 | | | | | | | | | | (21347) ~ (all_61_3 = e2)
% 176.47/27.35 | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | REDUCE: (626), (21344) imply:
% 176.47/27.35 | | | | | | | | | | (21348) ~ (all_61_13 = e2)
% 176.47/27.35 | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | REDUCE: (20327), (21344) imply:
% 176.47/27.35 | | | | | | | | | | (21349) ~ (all_8_1 = e2)
% 176.47/27.35 | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | SIMP: (21349) implies:
% 176.47/27.35 | | | | | | | | | | (21350) ~ (all_8_1 = e2)
% 176.47/27.35 | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | REDUCE: (695), (21344) imply:
% 176.47/27.35 | | | | | | | | | | (21351) op(e2, e2) = all_65_75
% 176.47/27.35 | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | REDUCE: (696), (21344) imply:
% 176.47/27.35 | | | | | | | | | | (21352) op(e2, e1) = all_65_77
% 176.47/27.35 | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | REDUCE: (697), (21344) imply:
% 176.47/27.35 | | | | | | | | | | (21353) op(e2, e0) = all_65_78
% 176.47/27.35 | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | REDUCE: (730), (21344) imply:
% 176.47/27.35 | | | | | | | | | | (21354) op(e2, e2) = all_65_31
% 176.47/27.35 | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | REDUCE: (20344), (21344) imply:
% 176.47/27.35 | | | | | | | | | | (21355) op(e1, e2) = all_65_77
% 176.47/27.35 | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | REDUCE: (764), (21344) imply:
% 176.47/27.35 | | | | | | | | | | (21356) op(e0, e2) = all_65_78
% 176.47/27.35 | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_7, all_65_78, e2,
% 176.47/27.35 | | | | | | | | | | e0, simplifying with (225), (21356) gives:
% 176.47/27.35 | | | | | | | | | | (21357) all_65_78 = all_61_7
% 176.47/27.35 | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | GROUND_INST: instantiating (50) with all_20_1, all_65_78, e2,
% 176.47/27.35 | | | | | | | | | | e0, simplifying with (21346), (21356) gives:
% 176.47/27.35 | | | | | | | | | | (21358) all_65_78 = all_20_1
% 176.47/27.35 | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_6, all_65_77, e2,
% 176.47/27.35 | | | | | | | | | | e1, simplifying with (229), (21355) gives:
% 176.47/27.35 | | | | | | | | | | (21359) all_65_77 = all_61_6
% 176.47/27.35 | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_13, all_65_78, e0,
% 176.47/27.35 | | | | | | | | | | e2, simplifying with (231), (21353) gives:
% 176.47/27.35 | | | | | | | | | | (21360) all_65_78 = all_61_13
% 176.47/27.35 | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_9, all_65_77, e1,
% 176.47/27.35 | | | | | | | | | | e2, simplifying with (232), (21352) gives:
% 176.47/27.35 | | | | | | | | | | (21361) all_65_77 = all_61_9
% 176.47/27.35 | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | GROUND_INST: instantiating (50) with e3, all_65_31, e2, e2,
% 176.47/27.35 | | | | | | | | | | simplifying with (17713), (21354) gives:
% 176.47/27.35 | | | | | | | | | | (21362) all_65_31 = e3
% 176.47/27.35 | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_75, all_65_31, e2,
% 176.47/27.35 | | | | | | | | | | e2, simplifying with (21351), (21354) gives:
% 176.47/27.35 | | | | | | | | | | (21363) all_65_31 = all_65_75
% 176.47/27.35 | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | COMBINE_EQS: (21362), (21363) imply:
% 176.47/27.35 | | | | | | | | | | (21364) all_65_75 = e3
% 176.47/27.35 | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | COMBINE_EQS: (21359), (21361) imply:
% 176.47/27.35 | | | | | | | | | | (21365) all_61_6 = all_61_9
% 176.47/27.35 | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | SIMP: (21365) implies:
% 176.47/27.35 | | | | | | | | | | (21366) all_61_6 = all_61_9
% 176.47/27.35 | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | COMBINE_EQS: (21358), (21360) imply:
% 176.47/27.35 | | | | | | | | | | (21367) all_61_13 = all_20_1
% 176.47/27.35 | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | SIMP: (21367) implies:
% 176.47/27.35 | | | | | | | | | | (21368) all_61_13 = all_20_1
% 176.47/27.35 | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | COMBINE_EQS: (21357), (21358) imply:
% 176.47/27.35 | | | | | | | | | | (21369) all_61_7 = all_20_1
% 176.47/27.35 | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | SIMP: (21369) implies:
% 176.47/27.35 | | | | | | | | | | (21370) all_61_7 = all_20_1
% 176.47/27.35 | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | COMBINE_EQS: (498), (21368) imply:
% 176.47/27.35 | | | | | | | | | | (21371) all_63_7 = all_20_1
% 176.47/27.35 | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | REDUCE: (207), (21370) imply:
% 176.47/27.35 | | | | | | | | | | (21372) ~ (all_61_3 = all_20_1)
% 176.47/27.35 | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | REDUCE: (20325), (21368) imply:
% 176.47/27.35 | | | | | | | | | | (21373) ~ (all_20_1 = all_8_1)
% 176.47/27.35 | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | REDUCE: (17706), (21368) imply:
% 176.47/27.35 | | | | | | | | | | (21374) ~ (all_20_1 = e3)
% 176.47/27.35 | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | REDUCE: (21348), (21368) imply:
% 176.47/27.35 | | | | | | | | | | (21375) ~ (all_20_1 = e2)
% 176.47/27.35 | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | REDUCE: (17767), (21366) imply:
% 176.47/27.35 | | | | | | | | | | (21376) op(all_61_9, e2) = all_61_2
% 176.47/27.35 | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | REDUCE: (17768), (21370) imply:
% 176.47/27.35 | | | | | | | | | | (21377) op(all_20_1, e2) = all_61_3
% 176.47/27.35 | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | REDUCE: (689), (21370) imply:
% 176.47/27.35 | | | | | | | | | | (21378) op(all_20_1, e0) = all_65_63
% 176.47/27.35 | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | REDUCE: (663), (21368) imply:
% 176.47/27.35 | | | | | | | | | | (21379) op(all_20_1, e2) = all_65_29
% 176.47/27.35 | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | REDUCE: (665), (21362), (21368) imply:
% 176.47/27.35 | | | | | | | | | | (21380) op(all_20_1, e0) = e3
% 176.47/27.35 | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | REDUCE: (724), (21366) imply:
% 176.47/27.35 | | | | | | | | | | (21381) op(e2, all_61_9) = all_65_25
% 176.47/27.35 | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | REDUCE: (728), (21370) imply:
% 176.47/27.35 | | | | | | | | | | (21382) op(e2, all_20_1) = all_65_29
% 176.47/27.35 | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | REDUCE: (17774), (21368) imply:
% 176.47/27.35 | | | | | | | | | | (21383) op(e2, all_20_1) = all_61_12
% 176.47/27.35 | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | REDUCE: (231), (21368) imply:
% 176.47/27.35 | | | | | | | | | | (21384) op(e2, e0) = all_20_1
% 176.47/27.35 | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_12, all_65_29,
% 176.47/27.35 | | | | | | | | | | all_20_1, e2, simplifying with (21382), (21383)
% 176.47/27.35 | | | | | | | | | | gives:
% 176.47/27.35 | | | | | | | | | | (21385) all_65_29 = all_61_12
% 176.47/27.35 | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_8, all_65_25,
% 176.47/27.35 | | | | | | | | | | all_61_9, e2, simplifying with (17773), (21381)
% 176.47/27.35 | | | | | | | | | | gives:
% 176.47/27.35 | | | | | | | | | | (21386) all_65_25 = all_61_8
% 176.47/27.35 | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | GROUND_INST: instantiating (50) with e3, all_65_63, e0,
% 176.47/27.35 | | | | | | | | | | all_20_1, simplifying with (21378), (21380) gives:
% 176.47/27.35 | | | | | | | | | | (21387) all_65_63 = e3
% 176.47/27.35 | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_3, all_65_29, e2,
% 176.47/27.35 | | | | | | | | | | all_20_1, simplifying with (21377), (21379) gives:
% 176.47/27.35 | | | | | | | | | | (21388) all_65_29 = all_61_3
% 176.47/27.35 | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_25, all_61_2, e2,
% 176.47/27.35 | | | | | | | | | | all_61_9, simplifying with (659), (21376) gives:
% 176.47/27.35 | | | | | | | | | | (21389) all_65_25 = all_61_2
% 176.47/27.35 | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | COMBINE_EQS: (21386), (21389) imply:
% 176.47/27.35 | | | | | | | | | | (21390) all_61_2 = all_61_8
% 176.47/27.35 | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | COMBINE_EQS: (21385), (21388) imply:
% 176.47/27.35 | | | | | | | | | | (21391) all_61_3 = all_61_12
% 176.47/27.35 | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | REDUCE: (21372), (21391) imply:
% 176.47/27.35 | | | | | | | | | | (21392) ~ (all_61_12 = all_20_1)
% 176.47/27.35 | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | BETA: splitting (157) gives:
% 176.47/27.35 | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | Case 1:
% 176.47/27.35 | | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | | (21393) ~ (all_58_3 = e1)
% 176.47/27.35 | | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | | REDUCE: (475), (21393) imply:
% 176.47/27.35 | | | | | | | | | | | (21394) ~ (all_52_3 = e1)
% 176.47/27.35 | | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | | BETA: splitting (160) gives:
% 176.47/27.35 | | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | | Case 1:
% 176.47/27.35 | | | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | | | (21395) ~ (all_58_2 = e0)
% 176.47/27.35 | | | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | | | REDUCE: (478), (21395) imply:
% 176.47/27.35 | | | | | | | | | | | | (21396) ~ (all_52_2 = e0)
% 176.47/27.35 | | | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | | | BETA: splitting (163) gives:
% 176.47/27.35 | | | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | | | Case 1:
% 176.47/27.35 | | | | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | | | | (21397) ~ (all_58_1 = e0)
% 176.47/27.35 | | | | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | | | | REDUCE: (481), (21397) imply:
% 176.47/27.35 | | | | | | | | | | | | | (21398) ~ (all_52_1 = e0)
% 176.47/27.35 | | | | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | | | | BETA: splitting (164) gives:
% 176.47/27.35 | | | | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | | | | Case 1:
% 176.47/27.35 | | | | | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | | | | | (21399) ~ (all_58_1 = e1)
% 176.47/27.35 | | | | | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | | | | | REDUCE: (481), (21399) imply:
% 176.47/27.35 | | | | | | | | | | | | | | (21400) ~ (all_52_1 = e1)
% 176.47/27.35 | | | | | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | | | | | BETA: splitting (168) gives:
% 176.47/27.35 | | | | | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | | | | | Case 1:
% 176.47/27.35 | | | | | | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | | | | | | (21401) ~ (all_58_0 = e2)
% 176.47/27.35 | | | | | | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | | | | | | REDUCE: (484), (21401) imply:
% 176.47/27.35 | | | | | | | | | | | | | | | (21402) ~ (all_52_0 = e2)
% 176.47/27.35 | | | | | | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | | | | | | REF_CLOSE: (50), (150), (165), (481), (484), (536), (731),
% 176.47/27.35 | | | | | | | | | | | | | | | (17713), (20351), (21398), (21400), (21402) are
% 176.47/27.35 | | | | | | | | | | | | | | | inconsistent by sub-proof #77.
% 176.47/27.35 | | | | | | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | | | | | Case 2:
% 176.47/27.35 | | | | | | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | | | | | | (21403) all_58_1 = e3
% 176.47/27.35 | | | | | | | | | | | | | | | (21404) all_58_0 = e2
% 176.47/27.35 | | | | | | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | | | | | | COMBINE_EQS: (484), (21404) imply:
% 176.47/27.35 | | | | | | | | | | | | | | | (21405) all_52_0 = e2
% 176.47/27.35 | | | | | | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | | | | | | SIMP: (21405) implies:
% 176.47/27.35 | | | | | | | | | | | | | | | (21406) all_52_0 = e2
% 176.47/27.35 | | | | | | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | | | | | | COMBINE_EQS: (481), (21403) imply:
% 176.47/27.35 | | | | | | | | | | | | | | | (21407) all_52_1 = e3
% 176.47/27.35 | | | | | | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | | | | | | SIMP: (21407) implies:
% 176.47/27.35 | | | | | | | | | | | | | | | (21408) all_52_1 = e3
% 176.47/27.35 | | | | | | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | | | | | | REDUCE: (629), (21406) imply:
% 176.47/27.35 | | | | | | | | | | | | | | | (21409) ~ (all_52_2 = e2)
% 176.47/27.35 | | | | | | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | | | | | | SIMP: (21409) implies:
% 176.47/27.35 | | | | | | | | | | | | | | | (21410) ~ (all_52_2 = e2)
% 176.47/27.35 | | | | | | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | | | | | | REDUCE: (631), (21408) imply:
% 176.47/27.35 | | | | | | | | | | | | | | | (21411) ~ (all_52_2 = e3)
% 176.47/27.35 | | | | | | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | | | | | | SIMP: (21411) implies:
% 176.47/27.35 | | | | | | | | | | | | | | | (21412) ~ (all_52_2 = e3)
% 176.47/27.35 | | | | | | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | | | | | | REF_CLOSE: (5), (50), (149), (231), (538), (748), (20292),
% 176.47/27.35 | | | | | | | | | | | | | | | (21348), (21396), (21410), (21412) are
% 176.47/27.35 | | | | | | | | | | | | | | | inconsistent by sub-proof #203.
% 176.47/27.35 | | | | | | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | | | | | End of split
% 176.47/27.35 | | | | | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | | | | Case 2:
% 176.47/27.35 | | | | | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | | | | | (21413) all_58_2 = e2
% 176.47/27.35 | | | | | | | | | | | | | | (21414) all_58_1 = e1
% 176.47/27.35 | | | | | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | | | | | REF_CLOSE: (9), (50), (229), (232), (478), (481), (659),
% 176.47/27.35 | | | | | | | | | | | | | | (724), (731), (748), (17773), (21029), (21413),
% 176.47/27.35 | | | | | | | | | | | | | | (21414) are inconsistent by sub-proof #70.
% 176.47/27.35 | | | | | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | | | | End of split
% 176.47/27.35 | | | | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | | | Case 2:
% 176.47/27.35 | | | | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | | | | (21415) all_58_1 = e0
% 176.47/27.35 | | | | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | | | | REF_CLOSE: (7), (21), (50), (481), (731), (21380), (21384),
% 176.47/27.35 | | | | | | | | | | | | | (21415) are inconsistent by sub-proof #74.
% 176.47/27.35 | | | | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | | | End of split
% 176.47/27.35 | | | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | | Case 2:
% 176.47/27.35 | | | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | | | (21416) all_58_3 = e1
% 176.47/27.35 | | | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | | | REF_CLOSE: (475), (21394), (21416) are inconsistent by
% 176.47/27.35 | | | | | | | | | | | | sub-proof #460.
% 176.47/27.35 | | | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | | End of split
% 176.47/27.35 | | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | Case 2:
% 176.47/27.35 | | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | | (21417) all_58_2 = e0
% 176.47/27.35 | | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | | COMBINE_EQS: (478), (21417) imply:
% 176.47/27.35 | | | | | | | | | | | (21418) all_52_2 = e0
% 176.47/27.35 | | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | | SIMP: (21418) implies:
% 176.47/27.35 | | | | | | | | | | | (21419) all_52_2 = e0
% 176.47/27.35 | | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | | REDUCE: (748), (21419) imply:
% 176.47/27.35 | | | | | | | | | | | (21420) op(e1, e0) = unit
% 176.47/27.35 | | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | | GROUND_INST: instantiating (50) with all_8_1, unit, e0, e1,
% 176.47/27.35 | | | | | | | | | | | simplifying with (20276), (21420) gives:
% 176.47/27.35 | | | | | | | | | | | (21421) all_8_1 = unit
% 176.47/27.35 | | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | | REDUCE: (20322), (21421) imply:
% 176.47/27.35 | | | | | | | | | | | (21422) ~ (all_61_8 = unit)
% 176.47/27.35 | | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | | REDUCE: (20324), (21421) imply:
% 176.47/27.35 | | | | | | | | | | | (21423) ~ (all_61_12 = unit)
% 176.47/27.35 | | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | | REDUCE: (21373), (21421) imply:
% 176.47/27.35 | | | | | | | | | | | (21424) ~ (all_20_1 = unit)
% 176.47/27.35 | | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | | REDUCE: (21350), (21421) imply:
% 176.47/27.35 | | | | | | | | | | | (21425) ~ (unit = e2)
% 176.47/27.35 | | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | | REDUCE: (20328), (21421) imply:
% 176.47/27.35 | | | | | | | | | | | (21426) ~ (unit = e0)
% 176.47/27.35 | | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | | BETA: splitting (20352) gives:
% 176.47/27.35 | | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | | Case 1:
% 176.47/27.35 | | | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | | | (21427) unit = e2
% 176.47/27.35 | | | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | | | REDUCE: (21425), (21427) imply:
% 176.47/27.35 | | | | | | | | | | | | (21428) $false
% 176.47/27.35 | | | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | | | CLOSE: (21428) is inconsistent.
% 176.47/27.35 | | | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | | Case 2:
% 176.47/27.35 | | | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | | | (21429) unit = e1 | unit = e0
% 176.47/27.35 | | | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | | | BETA: splitting (21429) gives:
% 176.47/27.35 | | | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | | | Case 1:
% 176.47/27.35 | | | | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | | | | (21430) unit = e1
% 176.47/27.35 | | | | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | | | | REDUCE: (21422), (21430) imply:
% 176.47/27.35 | | | | | | | | | | | | | (21431) ~ (all_61_8 = e1)
% 176.47/27.35 | | | | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | | | | REDUCE: (21423), (21430) imply:
% 176.47/27.35 | | | | | | | | | | | | | (21432) ~ (all_61_12 = e1)
% 176.47/27.35 | | | | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | | | | REDUCE: (21424), (21430) imply:
% 176.47/27.35 | | | | | | | | | | | | | (21433) ~ (all_20_1 = e1)
% 176.47/27.35 | | | | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | | | | BETA: splitting (264) gives:
% 176.47/27.35 | | | | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | | | | Case 1:
% 176.47/27.35 | | | | | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | | | | | (21434) all_63_7 = e3
% 176.47/27.35 | | | | | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | | | | | COMBINE_EQS: (21371), (21434) imply:
% 176.47/27.35 | | | | | | | | | | | | | | (21435) all_20_1 = e3
% 176.47/27.35 | | | | | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | | | | | REDUCE: (21374), (21435) imply:
% 176.47/27.35 | | | | | | | | | | | | | | (21436) $false
% 176.47/27.35 | | | | | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | | | | | CLOSE: (21436) is inconsistent.
% 176.47/27.35 | | | | | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | | | | Case 2:
% 176.47/27.35 | | | | | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | | | | | (21437) all_63_7 = e2 | all_63_7 = e1 | all_63_7 = e0
% 176.47/27.35 | | | | | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | | | | | BETA: splitting (21437) gives:
% 176.47/27.35 | | | | | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | | | | | Case 1:
% 176.47/27.35 | | | | | | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | | | | | | (21438) all_63_7 = e2
% 176.47/27.35 | | | | | | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | | | | | | COMBINE_EQS: (21371), (21438) imply:
% 176.47/27.35 | | | | | | | | | | | | | | | (21439) all_20_1 = e2
% 176.47/27.35 | | | | | | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | | | | | | REDUCE: (21375), (21439) imply:
% 176.47/27.35 | | | | | | | | | | | | | | | (21440) $false
% 176.47/27.35 | | | | | | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | | | | | | CLOSE: (21440) is inconsistent.
% 176.47/27.35 | | | | | | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | | | | | Case 2:
% 176.47/27.35 | | | | | | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | | | | | | (21441) all_63_7 = e1 | all_63_7 = e0
% 176.47/27.35 | | | | | | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | | | | | | BETA: splitting (21441) gives:
% 176.47/27.35 | | | | | | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | | | | | | Case 1:
% 176.47/27.35 | | | | | | | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | | | | | | | (21442) all_63_7 = e1
% 176.47/27.35 | | | | | | | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | | | | | | | COMBINE_EQS: (21371), (21442) imply:
% 176.47/27.35 | | | | | | | | | | | | | | | | (21443) all_20_1 = e1
% 176.47/27.35 | | | | | | | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | | | | | | | REDUCE: (21433), (21443) imply:
% 176.47/27.35 | | | | | | | | | | | | | | | | (21444) $false
% 176.47/27.35 | | | | | | | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | | | | | | | CLOSE: (21444) is inconsistent.
% 176.47/27.35 | | | | | | | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | | | | | | Case 2:
% 176.47/27.35 | | | | | | | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | | | | | | | (21445) all_63_7 = e0
% 176.47/27.35 | | | | | | | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | | | | | | | COMBINE_EQS: (21371), (21445) imply:
% 176.47/27.35 | | | | | | | | | | | | | | | | (21446) all_20_1 = e0
% 176.47/27.35 | | | | | | | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | | | | | | | REDUCE: (21392), (21446) imply:
% 176.47/27.35 | | | | | | | | | | | | | | | | (21447) ~ (all_61_12 = e0)
% 176.47/27.35 | | | | | | | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | | | | | | | REF_CLOSE: (187), (268), (269), (489), (491), (20281),
% 176.47/27.35 | | | | | | | | | | | | | | | | (21029), (21030), (21431), (21432), (21447) are
% 176.47/27.35 | | | | | | | | | | | | | | | | inconsistent by sub-proof #232.
% 176.47/27.35 | | | | | | | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | | | | | | End of split
% 176.47/27.35 | | | | | | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | | | | | End of split
% 176.47/27.35 | | | | | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | | | | End of split
% 176.47/27.35 | | | | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | | | Case 2:
% 176.47/27.35 | | | | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | | | | (21448) ~ (unit = e1)
% 176.47/27.35 | | | | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | | | | REF_CLOSE: (21426), (21429), (21448) are inconsistent by
% 176.47/27.35 | | | | | | | | | | | | | sub-proof #419.
% 176.47/27.35 | | | | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | | | End of split
% 176.47/27.35 | | | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | | End of split
% 176.47/27.35 | | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | | End of split
% 176.47/27.35 | | | | | | | | | |
% 176.47/27.35 | | | | | | | | | End of split
% 176.47/27.35 | | | | | | | | |
% 176.47/27.35 | | | | | | | | End of split
% 176.47/27.35 | | | | | | | |
% 176.47/27.35 | | | | | | | End of split
% 176.47/27.35 | | | | | | |
% 176.47/27.35 | | | | | | End of split
% 176.47/27.35 | | | | | |
% 176.47/27.35 | | | | | End of split
% 176.47/27.35 | | | | |
% 176.47/27.35 | | | | End of split
% 176.47/27.35 | | | |
% 176.47/27.36 | | | End of split
% 176.47/27.36 | | |
% 176.47/27.36 | | End of split
% 176.47/27.36 | |
% 176.47/27.36 | Case 2:
% 176.47/27.36 | |
% 176.47/27.36 | | (21449) all_4_2 = e3
% 176.47/27.36 | | (21450) op(e1, e3) = all_4_1 & $i(all_4_1) & ( ~ (all_4_1 = e2) | ( ~
% 176.47/27.36 | | (all_4_0 = e0) & op(e2, e1) = all_4_0 & $i(all_4_0)))
% 176.47/27.36 | |
% 176.47/27.36 | | ALPHA: (21450) implies:
% 176.47/27.36 | | (21451) op(e1, e3) = all_4_1
% 176.47/27.36 | | (21452) ~ (all_4_1 = e2) | ( ~ (all_4_0 = e0) & op(e2, e1) = all_4_0 &
% 176.47/27.36 | | $i(all_4_0))
% 176.47/27.36 | |
% 176.47/27.36 | | COMBINE_EQS: (579), (21449) imply:
% 176.47/27.36 | | (21453) all_32_2 = e3
% 176.47/27.36 | |
% 176.47/27.36 | | REDUCE: (616), (21449) imply:
% 176.47/27.36 | | (21454) ~ (all_61_6 = e3)
% 176.47/27.36 | |
% 176.47/27.36 | | REDUCE: (618), (21449) imply:
% 176.47/27.36 | | (21455) ~ (all_61_8 = e3)
% 176.47/27.36 | |
% 176.47/27.36 | | REDUCE: (619), (21449) imply:
% 176.47/27.36 | | (21456) ~ (all_61_9 = e3)
% 176.47/27.36 | |
% 176.47/27.36 | | REDUCE: (621), (21449) imply:
% 176.47/27.36 | | (21457) ~ (all_61_11 = e3)
% 176.47/27.36 | |
% 176.47/27.36 | | REDUCE: (623), (21449) imply:
% 176.47/27.36 | | (21458) ~ (all_61_14 = e3)
% 176.47/27.36 | |
% 176.47/27.36 | | REDUCE: (674), (21449) imply:
% 176.47/27.36 | | (21459) op(e3, e3) = all_65_40
% 176.47/27.36 | |
% 176.47/27.36 | | REDUCE: (675), (21449) imply:
% 176.47/27.36 | | (21460) op(e3, e2) = all_65_41
% 176.47/27.36 | |
% 176.47/27.36 | | REDUCE: (676), (21449) imply:
% 176.47/27.36 | | (21461) op(e3, e1) = all_65_42
% 176.47/27.36 | |
% 176.47/27.36 | | REDUCE: (677), (21449) imply:
% 176.47/27.36 | | (21462) op(e3, e0) = all_65_43
% 176.47/27.36 | |
% 176.47/27.36 | | REDUCE: (708), (21449) imply:
% 176.47/27.36 | | (21463) op(e3, e3) = all_65_10
% 176.47/27.36 | |
% 176.47/27.36 | | REDUCE: (725), (21449) imply:
% 176.47/27.36 | | (21464) op(e2, e3) = all_65_26
% 176.47/27.36 | |
% 176.47/27.36 | | REDUCE: (742), (21449) imply:
% 176.47/27.36 | | (21465) op(e1, e3) = all_65_42
% 176.47/27.36 | |
% 176.47/27.36 | | REDUCE: (52), (21449) imply:
% 176.47/27.36 | | (21466) op(e1, e1) = e3
% 176.47/27.36 | |
% 176.47/27.36 | | REDUCE: (759), (21449) imply:
% 176.47/27.36 | | (21467) op(e0, e3) = all_65_69
% 176.47/27.36 | |
% 176.47/27.36 | | BETA: splitting (95) gives:
% 176.47/27.36 | |
% 176.47/27.36 | | Case 1:
% 176.47/27.36 | | |
% 176.47/27.36 | | | (21468) ~ (all_32_2 = e3)
% 176.47/27.36 | | |
% 176.47/27.36 | | | REDUCE: (21453), (21468) imply:
% 176.47/27.36 | | | (21469) $false
% 176.47/27.36 | | |
% 176.47/27.36 | | | CLOSE: (21469) is inconsistent.
% 176.47/27.36 | | |
% 176.47/27.36 | | Case 2:
% 176.47/27.36 | | |
% 176.47/27.36 | | | (21470) op(e1, e3) = all_32_1 & $i(all_32_1) & ( ~ (all_32_1 = e0) | (
% 176.47/27.36 | | | ~ (all_32_0 = e2) & op(e0, e1) = all_32_0 & $i(all_32_0)))
% 176.47/27.36 | | |
% 176.47/27.36 | | | ALPHA: (21470) implies:
% 176.47/27.36 | | | (21471) op(e1, e3) = all_32_1
% 176.47/27.36 | | | (21472) ~ (all_32_1 = e0) | ( ~ (all_32_0 = e2) & op(e0, e1) =
% 176.47/27.36 | | | all_32_0 & $i(all_32_0))
% 176.47/27.36 | | |
% 176.47/27.36 | | | GROUND_INST: instantiating (50) with all_61_3, all_65_69, e3, e0,
% 176.47/27.36 | | | simplifying with (226), (21467) gives:
% 176.47/27.36 | | | (21473) all_65_69 = all_61_3
% 176.47/27.36 | | |
% 176.47/27.36 | | | GROUND_INST: instantiating (50) with all_61_2, all_4_1, e3, e1,
% 176.47/27.36 | | | simplifying with (230), (21451) gives:
% 176.47/27.36 | | | (21474) all_61_2 = all_4_1
% 176.47/27.36 | | |
% 176.47/27.36 | | | GROUND_INST: instantiating (50) with all_61_2, all_32_1, e3, e1,
% 176.47/27.36 | | | simplifying with (230), (21471) gives:
% 176.47/27.36 | | | (21475) all_61_2 = all_32_1
% 176.47/27.36 | | |
% 176.47/27.36 | | | GROUND_INST: instantiating (50) with all_61_2, all_65_42, e3, e1,
% 176.47/27.36 | | | simplifying with (230), (21465) gives:
% 176.47/27.36 | | | (21476) all_65_42 = all_61_2
% 176.47/27.36 | | |
% 176.47/27.36 | | | GROUND_INST: instantiating (50) with all_61_1, all_65_26, e3, e2,
% 176.47/27.36 | | | simplifying with (234), (21464) gives:
% 176.47/27.36 | | | (21477) all_65_26 = all_61_1
% 176.47/27.36 | | |
% 176.47/27.36 | | | GROUND_INST: instantiating (50) with all_61_12, all_65_43, e0, e3,
% 176.47/27.36 | | | simplifying with (235), (21462) gives:
% 176.47/27.36 | | | (21478) all_65_43 = all_61_12
% 176.47/27.36 | | |
% 176.47/27.36 | | | GROUND_INST: instantiating (50) with all_61_8, all_65_42, e1, e3,
% 176.47/27.36 | | | simplifying with (236), (21461) gives:
% 176.47/27.36 | | | (21479) all_65_42 = all_61_8
% 176.47/27.36 | | |
% 176.47/27.36 | | | GROUND_INST: instantiating (50) with all_61_4, all_65_41, e2, e3,
% 176.47/27.36 | | | simplifying with (237), (21460) gives:
% 176.47/27.36 | | | (21480) all_65_41 = all_61_4
% 176.47/27.36 | | |
% 176.47/27.36 | | | GROUND_INST: instantiating (50) with all_14_2, all_65_10, e3, e3,
% 176.47/27.36 | | | simplifying with (67), (21463) gives:
% 176.47/27.36 | | | (21481) all_65_10 = all_14_2
% 176.47/27.36 | | |
% 176.47/27.36 | | | GROUND_INST: instantiating (50) with all_65_40, all_65_10, e3, e3,
% 176.47/27.36 | | | simplifying with (21459), (21463) gives:
% 176.47/27.36 | | | (21482) all_65_10 = all_65_40
% 176.47/27.36 | | |
% 176.47/27.36 | | | COMBINE_EQS: (21481), (21482) imply:
% 176.47/27.36 | | | (21483) all_65_40 = all_14_2
% 176.47/27.36 | | |
% 176.47/27.36 | | | COMBINE_EQS: (21476), (21479) imply:
% 176.47/27.36 | | | (21484) all_61_2 = all_61_8
% 176.47/27.36 | | |
% 176.47/27.36 | | | SIMP: (21484) implies:
% 176.47/27.36 | | | (21485) all_61_2 = all_61_8
% 176.47/27.36 | | |
% 176.47/27.36 | | | COMBINE_EQS: (21475), (21485) imply:
% 176.47/27.36 | | | (21486) all_61_8 = all_32_1
% 176.47/27.36 | | |
% 176.47/27.36 | | | COMBINE_EQS: (21474), (21485) imply:
% 176.47/27.36 | | | (21487) all_61_8 = all_4_1
% 176.47/27.36 | | |
% 176.47/27.36 | | | COMBINE_EQS: (21486), (21487) imply:
% 176.47/27.36 | | | (21488) all_32_1 = all_4_1
% 176.47/27.36 | | |
% 176.47/27.36 | | | SIMP: (21488) implies:
% 176.47/27.36 | | | (21489) all_32_1 = all_4_1
% 176.47/27.36 | | |
% 176.47/27.36 | | | COMBINE_EQS: (499), (21474) imply:
% 176.47/27.36 | | | (21490) all_63_8 = all_4_1
% 176.47/27.36 | | |
% 176.47/27.36 | | | COMBINE_EQS: (489), (21487) imply:
% 176.47/27.36 | | | (21491) all_63_2 = all_4_1
% 176.47/27.36 | | |
% 176.47/27.36 | | | REDUCE: (216), (21474) imply:
% 176.47/27.36 | | | (21492) ~ (all_61_1 = all_4_1)
% 176.47/27.36 | | |
% 176.47/27.36 | | | REDUCE: (211), (21474) imply:
% 176.47/27.36 | | | (21493) ~ (all_61_3 = all_4_1)
% 176.47/27.36 | | |
% 176.47/27.36 | | | SIMP: (21493) implies:
% 176.47/27.36 | | | (21494) ~ (all_61_3 = all_4_1)
% 176.47/27.36 | | |
% 176.47/27.36 | | | REDUCE: (210), (21474) imply:
% 176.47/27.36 | | | (21495) ~ (all_61_6 = all_4_1)
% 176.47/27.36 | | |
% 176.47/27.36 | | | SIMP: (21495) implies:
% 176.47/27.36 | | | (21496) ~ (all_61_6 = all_4_1)
% 176.47/27.36 | | |
% 176.47/27.36 | | | REDUCE: (208), (21474) imply:
% 176.47/27.36 | | | (21497) ~ (all_61_14 = all_4_1)
% 176.47/27.36 | | |
% 176.47/27.36 | | | SIMP: (21497) implies:
% 176.47/27.36 | | | (21498) ~ (all_61_14 = all_4_1)
% 176.47/27.36 | | |
% 176.47/27.36 | | | REDUCE: (201), (21487) imply:
% 176.47/27.36 | | | (21499) ~ (all_61_4 = all_4_1)
% 176.47/27.36 | | |
% 176.47/27.36 | | | REDUCE: (190), (21487) imply:
% 176.47/27.36 | | | (21500) ~ (all_61_9 = all_4_1)
% 176.47/27.36 | | |
% 176.47/27.36 | | | SIMP: (21500) implies:
% 176.47/27.36 | | | (21501) ~ (all_61_9 = all_4_1)
% 176.47/27.36 | | |
% 176.47/27.36 | | | REDUCE: (188), (21487) imply:
% 176.47/27.36 | | | (21502) ~ (all_61_11 = all_4_1)
% 176.47/27.36 | | |
% 176.47/27.36 | | | SIMP: (21502) implies:
% 176.47/27.36 | | | (21503) ~ (all_61_11 = all_4_1)
% 176.47/27.36 | | |
% 176.47/27.36 | | | REDUCE: (187), (21487) imply:
% 176.47/27.36 | | | (21504) ~ (all_61_12 = all_4_1)
% 176.47/27.36 | | |
% 176.47/27.36 | | | SIMP: (21504) implies:
% 176.47/27.36 | | | (21505) ~ (all_61_12 = all_4_1)
% 176.47/27.36 | | |
% 176.47/27.36 | | | REDUCE: (601), (21487) imply:
% 176.47/27.36 | | | (21506) ~ (all_14_2 = all_4_1)
% 176.47/27.36 | | |
% 176.47/27.36 | | | SIMP: (21506) implies:
% 176.47/27.36 | | | (21507) ~ (all_14_2 = all_4_1)
% 176.47/27.36 | | |
% 176.47/27.36 | | | REDUCE: (21455), (21487) imply:
% 176.47/27.36 | | | (21508) ~ (all_4_1 = e3)
% 176.47/27.36 | | |
% 176.47/27.36 | | | REDUCE: (666), (21474) imply:
% 176.47/27.36 | | | (21509) op(all_4_1, e3) = all_65_32
% 176.47/27.36 | | |
% 176.47/27.36 | | | REDUCE: (667), (21474) imply:
% 176.47/27.36 | | | (21510) op(all_4_1, e2) = all_65_33
% 176.47/27.36 | | |
% 176.47/27.36 | | | REDUCE: (668), (21474) imply:
% 176.47/27.36 | | | (21511) op(all_4_1, e1) = all_65_34
% 176.47/27.36 | | |
% 176.47/27.36 | | | REDUCE: (669), (21474) imply:
% 176.47/27.36 | | | (21512) op(all_4_1, e0) = all_65_35
% 176.47/27.36 | | |
% 176.47/27.36 | | | REDUCE: (642), (21487) imply:
% 176.47/27.36 | | | (21513) op(all_4_1, e3) = all_65_8
% 176.47/27.36 | | |
% 176.47/27.36 | | | REDUCE: (643), (21487) imply:
% 176.47/27.36 | | | (21514) op(all_4_1, e2) = all_65_9
% 176.47/27.36 | | |
% 176.47/27.36 | | | REDUCE: (644), (21481), (21487) imply:
% 176.47/27.36 | | | (21515) op(all_4_1, e1) = all_14_2
% 176.47/27.36 | | |
% 176.47/27.36 | | | REDUCE: (645), (21487) imply:
% 176.47/27.36 | | | (21516) op(all_4_1, e0) = all_65_11
% 176.47/27.36 | | |
% 176.47/27.36 | | | REDUCE: (660), (21477) imply:
% 176.47/27.36 | | | (21517) op(all_61_9, e1) = all_61_1
% 176.47/27.36 | | |
% 176.47/27.36 | | | REDUCE: (692), (21473) imply:
% 176.47/27.36 | | | (21518) op(all_61_11, e1) = all_61_3
% 176.47/27.36 | | |
% 176.47/27.36 | | | REDUCE: (706), (21474) imply:
% 176.47/27.36 | | | (21519) op(e3, all_4_1) = all_65_8
% 176.47/27.36 | | |
% 176.47/27.36 | | | REDUCE: (700), (21487) imply:
% 176.47/27.36 | | | (21520) op(e3, all_4_1) = all_65_2
% 176.47/27.36 | | |
% 176.47/27.36 | | | REDUCE: (236), (21487) imply:
% 176.47/27.36 | | | (21521) op(e3, e1) = all_4_1
% 176.47/27.36 | | |
% 176.47/27.36 | | | REDUCE: (723), (21474) imply:
% 176.47/27.36 | | | (21522) op(e2, all_4_1) = all_65_24
% 176.47/27.36 | | |
% 176.47/27.36 | | | REDUCE: (717), (21487) imply:
% 176.47/27.36 | | | (21523) op(e2, all_4_1) = all_65_18
% 176.47/27.36 | | |
% 176.47/27.36 | | | REDUCE: (741), (21480) imply:
% 176.47/27.36 | | | (21524) op(e1, all_61_6) = all_61_4
% 176.47/27.36 | | |
% 176.47/27.36 | | | REDUCE: (743), (21478) imply:
% 176.47/27.36 | | | (21525) op(e1, all_61_14) = all_61_12
% 176.47/27.36 | | |
% 176.47/27.36 | | | REDUCE: (757), (21474) imply:
% 176.47/27.36 | | | (21526) op(e0, all_4_1) = all_65_65
% 176.47/27.36 | | |
% 176.47/27.36 | | | REDUCE: (751), (21487) imply:
% 176.47/27.36 | | | (21527) op(e0, all_4_1) = all_65_53
% 176.47/27.36 | | |
% 176.47/27.36 | | | GROUND_INST: instantiating (50) with all_65_65, all_65_53, all_4_1, e0,
% 176.47/27.36 | | | simplifying with (21526), (21527) gives:
% 176.47/27.36 | | | (21528) all_65_53 = all_65_65
% 176.47/27.36 | | |
% 176.47/27.36 | | | GROUND_INST: instantiating (50) with all_65_24, all_65_18, all_4_1, e2,
% 176.47/27.36 | | | simplifying with (21522), (21523) gives:
% 176.47/27.36 | | | (21529) all_65_18 = all_65_24
% 176.47/27.36 | | |
% 176.47/27.36 | | | GROUND_INST: instantiating (50) with all_65_8, all_65_2, all_4_1, e3,
% 176.47/27.36 | | | simplifying with (21519), (21520) gives:
% 176.47/27.36 | | | (21530) all_65_2 = all_65_8
% 176.47/27.36 | | |
% 176.47/27.36 | | | GROUND_INST: instantiating (50) with all_65_35, all_65_11, e0, all_4_1,
% 176.47/27.36 | | | simplifying with (21512), (21516) gives:
% 176.47/27.36 | | | (21531) all_65_11 = all_65_35
% 176.47/27.36 | | |
% 176.47/27.36 | | | GROUND_INST: instantiating (50) with all_14_2, all_65_34, e1, all_4_1,
% 176.47/27.36 | | | simplifying with (21511), (21515) gives:
% 176.47/27.36 | | | (21532) all_65_34 = all_14_2
% 176.47/27.36 | | |
% 176.47/27.36 | | | GROUND_INST: instantiating (50) with all_65_33, all_65_9, e2, all_4_1,
% 176.47/27.36 | | | simplifying with (21510), (21514) gives:
% 176.47/27.36 | | | (21533) all_65_9 = all_65_33
% 176.47/27.36 | | |
% 176.47/27.36 | | | GROUND_INST: instantiating (50) with all_65_32, all_65_8, e3, all_4_1,
% 176.47/27.36 | | | simplifying with (21509), (21513) gives:
% 176.47/27.36 | | | (21534) all_65_8 = all_65_32
% 176.47/27.36 | | |
% 176.47/27.36 | | | COMBINE_EQS: (21530), (21534) imply:
% 176.47/27.36 | | | (21535) all_65_2 = all_65_32
% 176.47/27.36 | | |
% 176.47/27.36 | | | REDUCE: (652), (21529) imply:
% 176.47/27.36 | | | (21536) op(all_61_1, e1) = all_65_24
% 176.47/27.36 | | |
% 176.47/27.36 | | | REDUCE: (684), (21528) imply:
% 176.47/27.36 | | | (21537) op(all_61_3, e1) = all_65_65
% 176.47/27.36 | | |
% 176.47/27.36 | | | REDUCE: (636), (21535) imply:
% 176.47/27.36 | | | (21538) op(all_14_2, e1) = all_65_32
% 176.47/27.36 | | |
% 176.47/27.36 | | | REDUCE: (707), (21533) imply:
% 176.47/27.36 | | | (21539) op(e3, all_61_6) = all_65_33
% 176.47/27.36 | | |
% 176.47/27.36 | | | REDUCE: (709), (21531) imply:
% 176.47/27.36 | | | (21540) op(e3, all_61_14) = all_65_35
% 176.47/27.36 | | |
% 176.47/27.36 | | | BETA: splitting (56) gives:
% 176.47/27.36 | | |
% 176.47/27.36 | | | Case 1:
% 176.47/27.36 | | | |
% 176.47/27.36 | | | | (21541) ~ (all_6_2 = e3)
% 176.47/27.36 | | | |
% 176.47/27.36 | | | | BETA: splitting (11) gives:
% 176.47/27.36 | | | |
% 176.47/27.36 | | | | Case 1:
% 176.47/27.36 | | | | |
% 176.47/27.36 | | | | | (21542) unit = e3
% 176.47/27.36 | | | | |
% 176.47/27.36 | | | | | REDUCE: (9), (21542) imply:
% 176.47/27.36 | | | | | (21543) op(e3, e2) = e2
% 176.47/27.36 | | | | |
% 176.47/27.36 | | | | | REDUCE: (8), (21542) imply:
% 176.47/27.36 | | | | | (21544) op(e3, e1) = e1
% 176.47/27.36 | | | | |
% 176.47/27.36 | | | | | REDUCE: (7), (21542) imply:
% 176.47/27.36 | | | | | (21545) op(e3, e0) = e0
% 176.47/27.36 | | | | |
% 176.47/27.36 | | | | | REDUCE: (6), (21542) imply:
% 176.47/27.36 | | | | | (21546) op(e3, e3) = e3
% 176.47/27.36 | | | | |
% 176.47/27.36 | | | | | REDUCE: (5), (21542) imply:
% 176.47/27.36 | | | | | (21547) op(e2, e3) = e2
% 176.47/27.36 | | | | |
% 176.47/27.36 | | | | | REDUCE: (3), (21542) imply:
% 176.47/27.36 | | | | | (21548) op(e0, e3) = e0
% 176.47/27.36 | | | | |
% 176.47/27.36 | | | | | GROUND_INST: instantiating (50) with all_61_3, e0, e3, e0, simplifying
% 176.47/27.36 | | | | | with (226), (21548) gives:
% 176.47/27.36 | | | | | (21549) all_61_3 = e0
% 176.47/27.36 | | | | |
% 176.47/27.36 | | | | | GROUND_INST: instantiating (50) with all_61_1, e2, e3, e2, simplifying
% 176.47/27.36 | | | | | with (234), (21547) gives:
% 176.47/27.36 | | | | | (21550) all_61_1 = e2
% 176.47/27.36 | | | | |
% 176.47/27.36 | | | | | GROUND_INST: instantiating (50) with all_61_12, e0, e0, e3,
% 176.47/27.36 | | | | | simplifying with (235), (21545) gives:
% 176.47/27.36 | | | | | (21551) all_61_12 = e0
% 176.47/27.36 | | | | |
% 176.47/27.36 | | | | | GROUND_INST: instantiating (50) with all_4_1, e1, e1, e3, simplifying
% 176.47/27.36 | | | | | with (21521), (21544) gives:
% 176.47/27.36 | | | | | (21552) all_4_1 = e1
% 176.47/27.36 | | | | |
% 176.47/27.36 | | | | | GROUND_INST: instantiating (50) with all_61_4, e2, e2, e3, simplifying
% 176.47/27.36 | | | | | with (237), (21543) gives:
% 176.47/27.36 | | | | | (21553) all_61_4 = e2
% 176.47/27.36 | | | | |
% 176.47/27.36 | | | | | GROUND_INST: instantiating (50) with all_14_2, e3, e3, e3, simplifying
% 176.47/27.36 | | | | | with (67), (21546) gives:
% 176.47/27.36 | | | | | (21554) all_14_2 = e3
% 176.47/27.36 | | | | |
% 176.47/27.36 | | | | | REDUCE: (213), (21550) imply:
% 176.47/27.36 | | | | | (21555) ~ (all_61_9 = e2)
% 176.47/27.36 | | | | |
% 176.47/27.36 | | | | | SIMP: (21555) implies:
% 176.47/27.36 | | | | | (21556) ~ (all_61_9 = e2)
% 176.47/27.36 | | | | |
% 176.47/27.36 | | | | | REDUCE: (207), (21549) imply:
% 176.47/27.36 | | | | | (21557) ~ (all_61_7 = e0)
% 176.47/27.36 | | | | |
% 176.47/27.36 | | | | | SIMP: (21557) implies:
% 176.47/27.36 | | | | | (21558) ~ (all_61_7 = e0)
% 176.47/27.36 | | | | |
% 176.47/27.36 | | | | | REDUCE: (206), (21549) imply:
% 176.47/27.36 | | | | | (21559) ~ (all_61_11 = e0)
% 176.47/27.36 | | | | |
% 176.47/27.36 | | | | | SIMP: (21559) implies:
% 176.47/27.36 | | | | | (21560) ~ (all_61_11 = e0)
% 176.47/27.36 | | | | |
% 176.47/27.36 | | | | | REDUCE: (607), (21553) imply:
% 176.47/27.36 | | | | | (21561) ~ (all_6_2 = e2)
% 176.47/27.36 | | | | |
% 176.47/27.36 | | | | | SIMP: (21561) implies:
% 176.47/27.36 | | | | | (21562) ~ (all_6_2 = e2)
% 176.47/27.36 | | | | |
% 176.47/27.36 | | | | | REDUCE: (21501), (21552) imply:
% 176.47/27.36 | | | | | (21563) ~ (all_61_9 = e1)
% 176.47/27.36 | | | | |
% 176.47/27.36 | | | | | REDUCE: (21503), (21552) imply:
% 176.47/27.36 | | | | | (21564) ~ (all_61_11 = e1)
% 176.47/27.36 | | | | |
% 176.47/27.36 | | | | | REDUCE: (179), (21551) imply:
% 176.47/27.36 | | | | | (21565) ~ (all_61_14 = e0)
% 176.47/27.36 | | | | |
% 176.47/27.36 | | | | | SIMP: (21565) implies:
% 176.47/27.36 | | | | | (21566) ~ (all_61_14 = e0)
% 176.47/27.36 | | | | |
% 176.47/27.36 | | | | | REDUCE: (625), (21551) imply:
% 176.47/27.36 | | | | | (21567) ~ (all_20_2 = e0)
% 176.47/27.36 | | | | |
% 176.47/27.36 | | | | | SIMP: (21567) implies:
% 176.47/27.36 | | | | | (21568) ~ (all_20_2 = e0)
% 176.47/27.36 | | | | |
% 176.47/27.36 | | | | | REDUCE: (21498), (21552) imply:
% 176.47/27.36 | | | | | (21569) ~ (all_61_14 = e1)
% 176.47/27.36 | | | | |
% 176.47/27.36 | | | | | REDUCE: (640), (21553) imply:
% 176.47/27.36 | | | | | (21570) op(e2, e1) = all_65_6
% 176.47/27.36 | | | | |
% 176.47/27.36 | | | | | REDUCE: (641), (21553) imply:
% 176.47/27.36 | | | | | (21571) op(e2, e0) = all_65_7
% 176.47/27.36 | | | | |
% 176.47/27.36 | | | | | REDUCE: (646), (21551) imply:
% 176.47/27.36 | | | | | (21572) op(e0, e3) = all_65_12
% 176.47/27.36 | | | | |
% 176.47/27.36 | | | | | REDUCE: (647), (21551) imply:
% 176.47/27.36 | | | | | (21573) op(e0, e2) = all_65_13
% 176.47/27.36 | | | | |
% 176.47/27.36 | | | | | REDUCE: (710), (21549) imply:
% 176.47/27.36 | | | | | (21574) op(e3, e0) = all_65_12
% 176.47/27.36 | | | | |
% 176.47/27.36 | | | | | REDUCE: (701), (21551) imply:
% 176.47/27.36 | | | | | (21575) op(e3, e0) = all_65_3
% 176.47/27.36 | | | | |
% 176.47/27.36 | | | | | REDUCE: (698), (21554) imply:
% 176.47/27.36 | | | | | (21576) op(e3, e3) = all_65_0
% 176.47/27.36 | | | | |
% 176.47/27.36 | | | | | REDUCE: (727), (21549) imply:
% 176.47/27.36 | | | | | (21577) op(e2, e0) = all_65_28
% 176.47/27.36 | | | | |
% 176.47/27.36 | | | | | REDUCE: (718), (21551) imply:
% 176.47/27.36 | | | | | (21578) op(e2, e0) = all_65_19
% 176.47/27.36 | | | | |
% 176.47/27.36 | | | | | REDUCE: (21522), (21552) imply:
% 176.47/27.36 | | | | | (21579) op(e2, e1) = all_65_24
% 176.47/27.36 | | | | |
% 176.47/27.36 | | | | | REDUCE: (736), (21550) imply:
% 176.47/27.36 | | | | | (21580) op(e1, e2) = all_65_36
% 176.47/27.36 | | | | |
% 176.47/27.36 | | | | | REDUCE: (733), (21553) imply:
% 176.47/27.36 | | | | | (21581) op(e1, e2) = all_65_33
% 176.47/27.36 | | | | |
% 176.47/27.36 | | | | | REDUCE: (753), (21550) imply:
% 176.47/27.36 | | | | | (21582) op(e0, e2) = all_65_57
% 176.47/27.36 | | | | |
% 176.47/27.36 | | | | | REDUCE: (750), (21553) imply:
% 176.47/27.36 | | | | | (21583) op(e0, e2) = all_65_51
% 176.47/27.36 | | | | |
% 176.47/27.36 | | | | | REDUCE: (749), (21554) imply:
% 176.47/27.36 | | | | | (21584) op(e0, e3) = all_65_49
% 176.47/27.36 | | | | |
% 176.47/27.36 | | | | | BETA: splitting (265) gives:
% 176.47/27.36 | | | | |
% 176.47/27.36 | | | | | Case 1:
% 176.47/27.36 | | | | | |
% 176.47/27.36 | | | | | | (21585) all_63_6 = e3
% 176.47/27.36 | | | | | |
% 176.47/27.36 | | | | | | REF_CLOSE: (497), (21456), (21585) are inconsistent by sub-proof
% 176.47/27.36 | | | | | | #396.
% 176.47/27.36 | | | | | |
% 176.47/27.36 | | | | | Case 2:
% 176.47/27.36 | | | | | |
% 176.47/27.36 | | | | | | (21586) all_63_6 = e2 | all_63_6 = e1 | all_63_6 = e0
% 176.47/27.36 | | | | | |
% 176.47/27.36 | | | | | | BETA: splitting (21586) gives:
% 176.47/27.36 | | | | | |
% 176.47/27.36 | | | | | | Case 1:
% 176.47/27.36 | | | | | | |
% 176.47/27.36 | | | | | | | (21587) all_63_6 = e2
% 176.47/27.36 | | | | | | |
% 176.47/27.36 | | | | | | | REF_CLOSE: (497), (21556), (21587) are inconsistent by sub-proof
% 176.47/27.36 | | | | | | | #413.
% 176.47/27.36 | | | | | | |
% 176.47/27.36 | | | | | | Case 2:
% 176.47/27.36 | | | | | | |
% 176.47/27.36 | | | | | | | (21588) all_63_6 = e1 | all_63_6 = e0
% 176.47/27.36 | | | | | | |
% 176.47/27.36 | | | | | | | BETA: splitting (257) gives:
% 176.47/27.36 | | | | | | |
% 176.47/27.36 | | | | | | | Case 1:
% 176.47/27.36 | | | | | | | |
% 176.47/27.36 | | | | | | | | (21589) all_63_14 = e3
% 176.47/27.36 | | | | | | | |
% 176.47/27.36 | | | | | | | | REF_CLOSE: (510), (21457), (21589) are inconsistent by sub-proof
% 176.47/27.36 | | | | | | | | #55.
% 176.47/27.36 | | | | | | | |
% 176.47/27.36 | | | | | | | Case 2:
% 176.47/27.36 | | | | | | | |
% 176.47/27.36 | | | | | | | | (21590) all_63_14 = e2 | all_63_14 = e1 | all_63_14 = e0
% 176.47/27.36 | | | | | | | |
% 176.47/27.36 | | | | | | | | BETA: splitting (21590) gives:
% 176.47/27.36 | | | | | | | |
% 176.47/27.36 | | | | | | | | Case 1:
% 176.47/27.36 | | | | | | | | |
% 176.47/27.36 | | | | | | | | | (21591) all_63_14 = e2
% 176.47/27.36 | | | | | | | | |
% 176.47/27.36 | | | | | | | | | COMBINE_EQS: (510), (21591) imply:
% 176.47/27.36 | | | | | | | | | (21592) all_61_11 = e2
% 176.47/27.36 | | | | | | | | |
% 176.47/27.36 | | | | | | | | | SIMP: (21592) implies:
% 176.47/27.36 | | | | | | | | | (21593) all_61_11 = e2
% 176.47/27.36 | | | | | | | | |
% 176.47/27.36 | | | | | | | | | REDUCE: (192), (21593) imply:
% 176.47/27.36 | | | | | | | | | (21594) ~ (all_61_7 = e2)
% 176.47/27.36 | | | | | | | | |
% 176.47/27.36 | | | | | | | | | REDUCE: (693), (21593) imply:
% 176.47/27.36 | | | | | | | | | (21595) op(e2, e0) = all_65_71
% 176.47/27.36 | | | | | | | | |
% 176.47/27.36 | | | | | | | | | REDUCE: (763), (21593) imply:
% 176.47/27.36 | | | | | | | | | (21596) op(e0, e2) = all_65_77
% 176.47/27.36 | | | | | | | | |
% 176.47/27.36 | | | | | | | | | BETA: splitting (21588) gives:
% 176.47/27.36 | | | | | | | | |
% 176.47/27.36 | | | | | | | | | Case 1:
% 176.47/27.36 | | | | | | | | | |
% 176.47/27.36 | | | | | | | | | | (21597) all_63_6 = e1
% 176.47/27.36 | | | | | | | | | |
% 176.47/27.36 | | | | | | | | | | REF_CLOSE: (497), (21563), (21597) are inconsistent by
% 176.47/27.36 | | | | | | | | | | sub-proof #412.
% 176.47/27.36 | | | | | | | | | |
% 176.47/27.36 | | | | | | | | | Case 2:
% 176.47/27.36 | | | | | | | | | |
% 176.47/27.36 | | | | | | | | | | (21598) all_63_6 = e0
% 176.47/27.36 | | | | | | | | | |
% 176.47/27.36 | | | | | | | | | | COMBINE_EQS: (497), (21598) imply:
% 176.47/27.36 | | | | | | | | | | (21599) all_61_9 = e0
% 176.47/27.36 | | | | | | | | | |
% 176.47/27.36 | | | | | | | | | | SIMP: (21599) implies:
% 176.47/27.36 | | | | | | | | | | (21600) all_61_9 = e0
% 176.47/27.36 | | | | | | | | | |
% 176.47/27.36 | | | | | | | | | | REDUCE: (184), (21600) imply:
% 176.47/27.36 | | | | | | | | | | (21601) ~ (all_61_13 = e0)
% 176.47/27.36 | | | | | | | | | |
% 176.47/27.36 | | | | | | | | | | SIMP: (21601) implies:
% 176.47/27.36 | | | | | | | | | | (21602) ~ (all_61_13 = e0)
% 176.47/27.36 | | | | | | | | | |
% 176.47/27.36 | | | | | | | | | | REDUCE: (613), (21600) imply:
% 176.47/27.36 | | | | | | | | | | (21603) ~ (all_6_2 = e0)
% 176.47/27.36 | | | | | | | | | |
% 176.47/27.36 | | | | | | | | | | SIMP: (21603) implies:
% 176.47/27.36 | | | | | | | | | | (21604) ~ (all_6_2 = e0)
% 176.47/27.36 | | | | | | | | | |
% 176.47/27.36 | | | | | | | | | | REDUCE: (658), (21600) imply:
% 176.47/27.36 | | | | | | | | | | (21605) op(e0, e3) = all_65_24
% 176.47/27.36 | | | | | | | | | |
% 176.47/27.36 | | | | | | | | | | REDUCE: (659), (21600) imply:
% 176.47/27.36 | | | | | | | | | | (21606) op(e0, e2) = all_65_25
% 176.47/27.36 | | | | | | | | | |
% 176.47/27.36 | | | | | | | | | | REDUCE: (704), (21600) imply:
% 176.47/27.36 | | | | | | | | | | (21607) op(e3, e0) = all_65_6
% 176.47/27.36 | | | | | | | | | |
% 176.47/27.36 | | | | | | | | | | REDUCE: (721), (21600) imply:
% 176.47/27.36 | | | | | | | | | | (21608) op(e2, e0) = all_65_22
% 176.47/27.36 | | | | | | | | | |
% 176.47/27.36 | | | | | | | | | | BETA: splitting (260) gives:
% 176.47/27.36 | | | | | | | | | |
% 176.47/27.36 | | | | | | | | | | Case 1:
% 176.47/27.36 | | | | | | | | | | |
% 176.47/27.36 | | | | | | | | | | | (21609) all_63_11 = e3
% 176.47/27.36 | | | | | | | | | | |
% 176.47/27.36 | | | | | | | | | | | COMBINE_EQS: (505), (21609) imply:
% 176.47/27.36 | | | | | | | | | | | (21610) all_61_14 = e3
% 176.47/27.36 | | | | | | | | | | |
% 176.47/27.36 | | | | | | | | | | | REDUCE: (21458), (21610) imply:
% 176.47/27.36 | | | | | | | | | | | (21611) $false
% 176.47/27.36 | | | | | | | | | | |
% 176.47/27.36 | | | | | | | | | | | CLOSE: (21611) is inconsistent.
% 176.47/27.36 | | | | | | | | | | |
% 176.47/27.36 | | | | | | | | | | Case 2:
% 176.47/27.36 | | | | | | | | | | |
% 176.47/27.36 | | | | | | | | | | | (21612) all_63_11 = e2 | all_63_11 = e1 | all_63_11 = e0
% 176.47/27.36 | | | | | | | | | | |
% 176.47/27.36 | | | | | | | | | | | BETA: splitting (21612) gives:
% 176.47/27.36 | | | | | | | | | | |
% 176.47/27.36 | | | | | | | | | | | Case 1:
% 176.47/27.36 | | | | | | | | | | | |
% 176.47/27.36 | | | | | | | | | | | | (21613) all_63_11 = e2
% 176.47/27.36 | | | | | | | | | | | |
% 176.47/27.36 | | | | | | | | | | | | COMBINE_EQS: (505), (21613) imply:
% 176.47/27.36 | | | | | | | | | | | | (21614) all_61_14 = e2
% 176.47/27.36 | | | | | | | | | | | |
% 176.47/27.36 | | | | | | | | | | | | REDUCE: (193), (21614) imply:
% 176.47/27.36 | | | | | | | | | | | | (21615) ~ (all_61_6 = e2)
% 176.47/27.36 | | | | | | | | | | | |
% 176.47/27.36 | | | | | | | | | | | | REDUCE: (177), (21614) imply:
% 176.47/27.36 | | | | | | | | | | | | (21616) ~ (all_61_13 = e2)
% 176.47/27.36 | | | | | | | | | | | |
% 176.47/27.36 | | | | | | | | | | | | REDUCE: (627), (21614) imply:
% 176.47/27.36 | | | | | | | | | | | | (21617) ~ (all_20_2 = e2)
% 176.47/27.36 | | | | | | | | | | | |
% 176.47/27.36 | | | | | | | | | | | | SIMP: (21617) implies:
% 176.47/27.36 | | | | | | | | | | | | (21618) ~ (all_20_2 = e2)
% 176.47/27.36 | | | | | | | | | | | |
% 176.47/27.36 | | | | | | | | | | | | REDUCE: (681), (21614) imply:
% 176.47/27.36 | | | | | | | | | | | | (21619) op(e2, e0) = all_65_47
% 176.47/27.36 | | | | | | | | | | | |
% 176.47/27.36 | | | | | | | | | | | | BETA: splitting (266) gives:
% 176.47/27.36 | | | | | | | | | | | |
% 176.47/27.36 | | | | | | | | | | | | Case 1:
% 176.47/27.36 | | | | | | | | | | | | |
% 176.47/27.36 | | | | | | | | | | | | | (21620) all_63_5 = e3
% 176.47/27.36 | | | | | | | | | | | | |
% 176.47/27.36 | | | | | | | | | | | | | COMBINE_EQS: (587), (21620) imply:
% 176.47/27.36 | | | | | | | | | | | | | (21621) all_6_2 = e3
% 176.47/27.36 | | | | | | | | | | | | |
% 176.47/27.36 | | | | | | | | | | | | | REDUCE: (21541), (21621) imply:
% 176.47/27.36 | | | | | | | | | | | | | (21622) $false
% 176.47/27.36 | | | | | | | | | | | | |
% 176.47/27.36 | | | | | | | | | | | | | CLOSE: (21622) is inconsistent.
% 176.47/27.36 | | | | | | | | | | | | |
% 176.47/27.36 | | | | | | | | | | | | Case 2:
% 176.47/27.36 | | | | | | | | | | | | |
% 176.47/27.36 | | | | | | | | | | | | | (21623) all_63_5 = e2 | all_63_5 = e1 | all_63_5 = e0
% 176.47/27.36 | | | | | | | | | | | | |
% 176.47/27.36 | | | | | | | | | | | | | BETA: splitting (21623) gives:
% 176.47/27.36 | | | | | | | | | | | | |
% 176.47/27.36 | | | | | | | | | | | | | Case 1:
% 176.47/27.36 | | | | | | | | | | | | | |
% 176.47/27.36 | | | | | | | | | | | | | | (21624) all_63_5 = e2
% 176.47/27.36 | | | | | | | | | | | | | |
% 176.47/27.36 | | | | | | | | | | | | | | COMBINE_EQS: (587), (21624) imply:
% 176.47/27.36 | | | | | | | | | | | | | | (21625) all_6_2 = e2
% 176.47/27.36 | | | | | | | | | | | | | |
% 176.47/27.36 | | | | | | | | | | | | | | REDUCE: (21562), (21625) imply:
% 176.47/27.36 | | | | | | | | | | | | | | (21626) $false
% 176.47/27.36 | | | | | | | | | | | | | |
% 176.47/27.36 | | | | | | | | | | | | | | CLOSE: (21626) is inconsistent.
% 176.47/27.36 | | | | | | | | | | | | | |
% 176.47/27.36 | | | | | | | | | | | | | Case 2:
% 176.47/27.36 | | | | | | | | | | | | | |
% 176.47/27.36 | | | | | | | | | | | | | | (21627) all_63_5 = e1 | all_63_5 = e0
% 176.47/27.36 | | | | | | | | | | | | | |
% 176.47/27.36 | | | | | | | | | | | | | | BETA: splitting (262) gives:
% 176.47/27.36 | | | | | | | | | | | | | |
% 176.47/27.36 | | | | | | | | | | | | | | Case 1:
% 176.47/27.36 | | | | | | | | | | | | | | |
% 176.47/27.36 | | | | | | | | | | | | | | | (21628) all_63_9 = e3
% 176.47/27.36 | | | | | | | | | | | | | | |
% 176.47/27.36 | | | | | | | | | | | | | | | COMBINE_EQS: (501), (21628) imply:
% 176.47/27.36 | | | | | | | | | | | | | | | (21629) all_61_6 = e3
% 176.47/27.36 | | | | | | | | | | | | | | |
% 176.47/27.36 | | | | | | | | | | | | | | | REDUCE: (21454), (21629) imply:
% 176.47/27.36 | | | | | | | | | | | | | | | (21630) $false
% 176.47/27.36 | | | | | | | | | | | | | | |
% 176.47/27.36 | | | | | | | | | | | | | | | CLOSE: (21630) is inconsistent.
% 176.47/27.36 | | | | | | | | | | | | | | |
% 176.47/27.36 | | | | | | | | | | | | | | Case 2:
% 176.47/27.36 | | | | | | | | | | | | | | |
% 176.47/27.36 | | | | | | | | | | | | | | | (21631) all_63_9 = e2 | all_63_9 = e1 | all_63_9 = e0
% 176.47/27.36 | | | | | | | | | | | | | | |
% 176.47/27.36 | | | | | | | | | | | | | | | BETA: splitting (21627) gives:
% 176.47/27.36 | | | | | | | | | | | | | | |
% 176.47/27.36 | | | | | | | | | | | | | | | Case 1:
% 176.47/27.36 | | | | | | | | | | | | | | | |
% 176.47/27.36 | | | | | | | | | | | | | | | | (21632) all_63_5 = e1
% 176.47/27.36 | | | | | | | | | | | | | | | |
% 176.47/27.36 | | | | | | | | | | | | | | | | COMBINE_EQS: (587), (21632) imply:
% 176.47/27.36 | | | | | | | | | | | | | | | | (21633) all_6_2 = e1
% 176.47/27.36 | | | | | | | | | | | | | | | |
% 176.47/27.36 | | | | | | | | | | | | | | | | COMBINE_EQS: (570), (21633) imply:
% 176.47/27.36 | | | | | | | | | | | | | | | | (21634) all_16_2 = e1
% 176.47/27.36 | | | | | | | | | | | | | | | |
% 176.47/27.36 | | | | | | | | | | | | | | | | REDUCE: (609), (21633) imply:
% 176.47/27.36 | | | | | | | | | | | | | | | | (21635) ~ (all_61_6 = e1)
% 176.47/27.36 | | | | | | | | | | | | | | | |
% 176.47/27.36 | | | | | | | | | | | | | | | | REDUCE: (615), (21633) imply:
% 176.47/27.36 | | | | | | | | | | | | | | | | (21636) ~ (all_61_13 = e1)
% 176.47/27.36 | | | | | | | | | | | | | | | |
% 176.47/27.36 | | | | | | | | | | | | | | | | REDUCE: (655), (21633) imply:
% 176.47/27.36 | | | | | | | | | | | | | | | | (21637) op(e1, e2) = all_65_21
% 176.47/27.36 | | | | | | | | | | | | | | | |
% 176.47/27.36 | | | | | | | | | | | | | | | | REDUCE: (737), (21633) imply:
% 176.47/27.36 | | | | | | | | | | | | | | | | (21638) op(e1, e1) = all_65_37
% 176.47/27.36 | | | | | | | | | | | | | | | |
% 176.47/27.36 | | | | | | | | | | | | | | | | BETA: splitting (264) gives:
% 176.47/27.36 | | | | | | | | | | | | | | | |
% 176.47/27.36 | | | | | | | | | | | | | | | | Case 1:
% 176.47/27.36 | | | | | | | | | | | | | | | | |
% 176.47/27.36 | | | | | | | | | | | | | | | | | (21639) all_63_7 = e3
% 176.47/27.36 | | | | | | | | | | | | | | | | |
% 176.47/27.36 | | | | | | | | | | | | | | | | | COMBINE_EQS: (498), (21639) imply:
% 176.47/27.36 | | | | | | | | | | | | | | | | | (21640) all_61_13 = e3
% 176.47/27.36 | | | | | | | | | | | | | | | | |
% 176.47/27.36 | | | | | | | | | | | | | | | | | REDUCE: (626), (21640) imply:
% 176.47/27.36 | | | | | | | | | | | | | | | | | (21641) ~ (all_20_2 = e3)
% 176.47/27.36 | | | | | | | | | | | | | | | | |
% 176.47/27.36 | | | | | | | | | | | | | | | | | SIMP: (21641) implies:
% 176.47/27.36 | | | | | | | | | | | | | | | | | (21642) ~ (all_20_2 = e3)
% 176.47/27.36 | | | | | | | | | | | | | | | | |
% 176.47/27.36 | | | | | | | | | | | | | | | | | REDUCE: (665), (21640) imply:
% 176.47/27.36 | | | | | | | | | | | | | | | | | (21643) op(e3, e0) = all_65_31
% 176.47/27.36 | | | | | | | | | | | | | | | | |
% 176.47/27.36 | | | | | | | | | | | | | | | | | REDUCE: (705), (21640) imply:
% 176.47/27.36 | | | | | | | | | | | | | | | | | (21644) op(e3, e3) = all_65_7
% 176.47/27.36 | | | | | | | | | | | | | | | | |
% 176.47/27.36 | | | | | | | | | | | | | | | | | BETA: splitting (71) gives:
% 176.47/27.36 | | | | | | | | | | | | | | | | |
% 176.47/27.36 | | | | | | | | | | | | | | | | | Case 1:
% 176.47/27.36 | | | | | | | | | | | | | | | | | |
% 176.47/27.36 | | | | | | | | | | | | | | | | | | (21645) ~ (all_16_2 = e1)
% 176.47/27.36 | | | | | | | | | | | | | | | | | |
% 176.47/27.36 | | | | | | | | | | | | | | | | | | REDUCE: (21634), (21645) imply:
% 176.47/27.36 | | | | | | | | | | | | | | | | | | (21646) $false
% 176.47/27.36 | | | | | | | | | | | | | | | | | |
% 176.47/27.36 | | | | | | | | | | | | | | | | | | CLOSE: (21646) is inconsistent.
% 176.47/27.36 | | | | | | | | | | | | | | | | | |
% 176.47/27.36 | | | | | | | | | | | | | | | | | Case 2:
% 176.47/27.36 | | | | | | | | | | | | | | | | | |
% 176.47/27.36 | | | | | | | | | | | | | | | | | | (21647) op(e2, e1) = all_16_1 & $i(all_16_1) & ( ~
% 176.47/27.36 | | | | | | | | | | | | | | | | | | (all_16_1 = e0) | ( ~ (all_16_0 = e3) & op(e0,
% 176.47/27.36 | | | | | | | | | | | | | | | | | | e2) = all_16_0 & $i(all_16_0)))
% 176.47/27.36 | | | | | | | | | | | | | | | | | |
% 176.47/27.36 | | | | | | | | | | | | | | | | | | ALPHA: (21647) implies:
% 176.47/27.36 | | | | | | | | | | | | | | | | | | (21648) op(e2, e1) = all_16_1
% 176.47/27.36 | | | | | | | | | | | | | | | | | | (21649) ~ (all_16_1 = e0) | ( ~ (all_16_0 = e3) & op(e0,
% 176.47/27.36 | | | | | | | | | | | | | | | | | | e2) = all_16_0 & $i(all_16_0))
% 176.47/27.36 | | | | | | | | | | | | | | | | | |
% 176.47/27.36 | | | | | | | | | | | | | | | | | | BETA: splitting (256) gives:
% 176.47/27.36 | | | | | | | | | | | | | | | | | |
% 176.47/27.36 | | | | | | | | | | | | | | | | | | Case 1:
% 176.47/27.36 | | | | | | | | | | | | | | | | | | |
% 176.47/27.36 | | | | | | | | | | | | | | | | | | | (21650) all_63_15 = e3
% 176.47/27.36 | | | | | | | | | | | | | | | | | | |
% 176.47/27.36 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (422), (21642), (21650) are inconsistent by
% 176.47/27.36 | | | | | | | | | | | | | | | | | | | sub-proof #501.
% 176.47/27.36 | | | | | | | | | | | | | | | | | | |
% 176.47/27.36 | | | | | | | | | | | | | | | | | | Case 2:
% 176.47/27.36 | | | | | | | | | | | | | | | | | | |
% 176.47/27.36 | | | | | | | | | | | | | | | | | | | (21651) all_63_15 = e2 | all_63_15 = e1 | all_63_15 = e0
% 176.47/27.36 | | | | | | | | | | | | | | | | | | |
% 176.47/27.36 | | | | | | | | | | | | | | | | | | | BETA: splitting (122) gives:
% 176.47/27.36 | | | | | | | | | | | | | | | | | | |
% 176.47/27.36 | | | | | | | | | | | | | | | | | | | Case 1:
% 176.47/27.36 | | | | | | | | | | | | | | | | | | | |
% 176.47/27.36 | | | | | | | | | | | | | | | | | | | | (21652) ~ (all_50_2 = e1)
% 176.47/27.36 | | | | | | | | | | | | | | | | | | | |
% 176.47/27.36 | | | | | | | | | | | | | | | | | | | | REDUCE: (582), (21652) imply:
% 176.47/27.36 | | | | | | | | | | | | | | | | | | | | (21653) ~ (all_20_2 = e1)
% 176.47/27.36 | | | | | | | | | | | | | | | | | | | |
% 176.47/27.36 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (422), (21568), (21618), (21651), (21653) are
% 176.47/27.36 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #206.
% 176.47/27.36 | | | | | | | | | | | | | | | | | | | |
% 176.47/27.36 | | | | | | | | | | | | | | | | | | | Case 2:
% 176.47/27.36 | | | | | | | | | | | | | | | | | | | |
% 176.47/27.36 | | | | | | | | | | | | | | | | | | | | (21654) all_50_2 = e1
% 176.47/27.36 | | | | | | | | | | | | | | | | | | | |
% 176.47/27.36 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (582), (21654) imply:
% 176.47/27.36 | | | | | | | | | | | | | | | | | | | | (21655) all_20_2 = e1
% 176.47/27.36 | | | | | | | | | | | | | | | | | | | |
% 176.47/27.36 | | | | | | | | | | | | | | | | | | | | SIMP: (21655) implies:
% 176.47/27.36 | | | | | | | | | | | | | | | | | | | | (21656) all_20_2 = e1
% 176.47/27.36 | | | | | | | | | | | | | | | | | | | |
% 176.47/27.36 | | | | | | | | | | | | | | | | | | | | REDUCE: (617), (21656) imply:
% 176.47/27.36 | | | | | | | | | | | | | | | | | | | | (21657) ~ (all_61_7 = e1)
% 176.47/27.36 | | | | | | | | | | | | | | | | | | | |
% 176.47/27.36 | | | | | | | | | | | | | | | | | | | | REDUCE: (696), (21656) imply:
% 176.47/27.36 | | | | | | | | | | | | | | | | | | | | (21658) op(e1, e1) = all_65_77
% 176.47/27.36 | | | | | | | | | | | | | | | | | | | |
% 176.47/27.36 | | | | | | | | | | | | | | | | | | | | REDUCE: (730), (21656) imply:
% 176.47/27.36 | | | | | | | | | | | | | | | | | | | | (21659) op(e2, e1) = all_65_31
% 176.47/27.36 | | | | | | | | | | | | | | | | | | | |
% 176.47/27.36 | | | | | | | | | | | | | | | | | | | | BETA: splitting (258) gives:
% 176.47/27.36 | | | | | | | | | | | | | | | | | | | |
% 176.47/27.36 | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.47/27.36 | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.36 | | | | | | | | | | | | | | | | | | | | | (21660) all_63_13 = e3
% 176.47/27.36 | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.36 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (508), (21660) imply:
% 176.47/27.36 | | | | | | | | | | | | | | | | | | | | | (21661) all_61_7 = e3
% 176.47/27.36 | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.36 | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (21661) imply:
% 176.47/27.36 | | | | | | | | | | | | | | | | | | | | | (21662) op(e3, e3) = all_65_57
% 176.47/27.36 | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.36 | | | | | | | | | | | | | | | | | | | | | REDUCE: (689), (21661) imply:
% 176.47/27.36 | | | | | | | | | | | | | | | | | | | | | (21663) op(e3, e0) = all_65_63
% 176.47/27.36 | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.36 | | | | | | | | | | | | | | | | | | | | | REDUCE: (711), (21661) imply:
% 176.47/27.36 | | | | | | | | | | | | | | | | | | | | | (21664) op(e3, e3) = all_65_13
% 176.47/27.36 | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.36 | | | | | | | | | | | | | | | | | | | | | REDUCE: (762), (21661) imply:
% 176.47/27.36 | | | | | | | | | | | | | | | | | | | | | (21665) op(e0, e3) = all_65_75
% 176.47/27.36 | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.36 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (21631) gives:
% 176.47/27.36 | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.36 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.47/27.36 | | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.36 | | | | | | | | | | | | | | | | | | | | | | (21666) all_63_9 = e2
% 176.47/27.36 | | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.36 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (501), (21666) imply:
% 176.47/27.36 | | | | | | | | | | | | | | | | | | | | | | (21667) all_61_6 = e2
% 176.47/27.36 | | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.36 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (21615), (21667) imply:
% 176.47/27.36 | | | | | | | | | | | | | | | | | | | | | | (21668) $false
% 176.47/27.36 | | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.36 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (21668) is inconsistent.
% 176.47/27.36 | | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.36 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.47/27.36 | | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.36 | | | | | | | | | | | | | | | | | | | | | | (21669) all_63_9 = e1 | all_63_9 = e0
% 176.47/27.36 | | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.36 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (21669) gives:
% 176.47/27.36 | | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.36 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.47/27.36 | | | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.36 | | | | | | | | | | | | | | | | | | | | | | | (21670) all_63_9 = e1
% 176.47/27.36 | | | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.36 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (501), (21670) imply:
% 176.47/27.36 | | | | | | | | | | | | | | | | | | | | | | | (21671) all_61_6 = e1
% 176.47/27.36 | | | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.36 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (21635), (21671) imply:
% 176.47/27.36 | | | | | | | | | | | | | | | | | | | | | | | (21672) $false
% 176.47/27.36 | | | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.36 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (21672) is inconsistent.
% 176.47/27.36 | | | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | (21673) all_63_9 = e0
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (501), (21673) imply:
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | (21674) all_61_6 = e0
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (670), (21674) imply:
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | (21675) op(e0, e3) = all_65_36
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (671), (21674) imply:
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | (21676) op(e0, e2) = all_65_37
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (21539), (21674) imply:
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | (21677) op(e3, e0) = all_65_33
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (724), (21674) imply:
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | (21678) op(e2, e0) = all_65_25
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (21649) gives:
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | | (21679) ~ (all_16_1 = e0)
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_75, all_65_49, e3,
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | | e0, simplifying with (21584), (21665) gives:
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | | (21680) all_65_49 = all_65_75
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_49, all_65_36, e3,
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | | e0, simplifying with (21584), (21675) gives:
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | | (21681) all_65_36 = all_65_49
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_75, all_65_24, e3,
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | | e0, simplifying with (21605), (21665) gives:
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | | (21682) all_65_24 = all_65_75
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_24, all_65_12, e3,
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | | e0, simplifying with (21572), (21605) gives:
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | | (21683) all_65_12 = all_65_24
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_33, all_65_21, e2,
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | | e1, simplifying with (21581), (21637) gives:
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | | (21684) all_65_21 = all_65_33
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_36, all_65_21, e2,
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | | e1, simplifying with (21580), (21637) gives:
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | | (21685) all_65_21 = all_65_36
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_31, all_65_24, e1,
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | | e2, simplifying with (21579), (21659) gives:
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | | (21686) all_65_24 = all_65_31
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_16_1, all_65_6, e1,
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | | e2, simplifying with (21570), (21648) gives:
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | | (21687) all_65_6 = all_16_1
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e0, all_65_31, e0, e3,
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (21545), (21643) gives:
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | | (21688) all_65_31 = e0
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_63, all_65_12, e0,
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | | e3, simplifying with (21574), (21663) gives:
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | | (21689) all_65_12 = all_65_63
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_6, all_65_3, e0,
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | | e3, simplifying with (21575), (21607) gives:
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | | (21690) all_65_3 = all_65_6
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_33, all_65_3, e0,
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | | e3, simplifying with (21575), (21677) gives:
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | | (21691) all_65_3 = all_65_33
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (21690), (21691) imply:
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | | (21692) all_65_6 = all_65_33
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (21692) implies:
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | | (21693) all_65_6 = all_65_33
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (21687), (21693) imply:
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | | (21694) all_65_33 = all_16_1
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (21694) implies:
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | | (21695) all_65_33 = all_16_1
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (21683), (21689) imply:
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | | (21696) all_65_24 = all_65_63
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (21696) implies:
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | | (21697) all_65_24 = all_65_63
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (21684), (21685) imply:
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | | (21698) all_65_33 = all_65_36
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (21698) implies:
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | | (21699) all_65_33 = all_65_36
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (21682), (21697) imply:
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | | (21700) all_65_63 = all_65_75
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (21686), (21697) imply:
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | | (21701) all_65_31 = all_65_63
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (21701) implies:
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | | (21702) all_65_31 = all_65_63
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (21688), (21702) imply:
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | | (21703) all_65_63 = e0
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (21695), (21699) imply:
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | | (21704) all_65_36 = all_16_1
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (21681), (21704) imply:
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | | (21705) all_65_49 = all_16_1
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (21705) implies:
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | | (21706) all_65_49 = all_16_1
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (21680), (21706) imply:
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | | (21707) all_65_75 = all_16_1
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (21707) implies:
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | | (21708) all_65_75 = all_16_1
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (21700), (21703) imply:
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | | (21709) all_65_75 = e0
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (21709) implies:
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | | (21710) all_65_75 = e0
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (21708), (21710) imply:
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | | (21711) all_16_1 = e0
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (21679), (21711) imply:
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | | (21712) $false
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (21712) is inconsistent.
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | | (21713) ~ (all_16_0 = e3) & op(e0, e2) = all_16_0 &
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_16_0)
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (21713) implies:
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | | (21714) ~ (all_16_0 = e3)
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | | (21715) op(e0, e2) = all_16_0
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_57, all_65_51, e2,
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | | e0, simplifying with (21582), (21583) gives:
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | | (21716) all_65_51 = all_65_57
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_16_0, all_65_37, e2,
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | | e0, simplifying with (21676), (21715) gives:
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | | (21717) all_65_37 = all_16_0
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_77, all_65_25, e2,
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | | e0, simplifying with (21596), (21606) gives:
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | | (21718) all_65_25 = all_65_77
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_51, all_65_13, e2,
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | | e0, simplifying with (21573), (21583) gives:
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | | (21719) all_65_13 = all_65_51
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_77, all_65_37, e1,
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | | e1, simplifying with (21638), (21658) gives:
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | | (21720) all_65_37 = all_65_77
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_28, all_65_25, e0,
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | | e2, simplifying with (21577), (21678) gives:
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | | (21721) all_65_25 = all_65_28
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_47, all_65_25, e0,
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | | e2, simplifying with (21619), (21678) gives:
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | | (21722) all_65_25 = all_65_47
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_71, all_65_25, e0,
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | | e2, simplifying with (21595), (21678) gives:
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | | (21723) all_65_25 = all_65_71
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_47, all_65_22, e0,
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | | e2, simplifying with (21608), (21619) gives:
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | | (21724) all_65_22 = all_65_47
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_22, all_65_19, e0,
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | | e2, simplifying with (21578), (21608) gives:
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | | (21725) all_65_19 = all_65_22
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_19, all_65_7, e0,
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | | e2, simplifying with (21571), (21578) gives:
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | | (21726) all_65_7 = all_65_19
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e3, all_65_13, e3, e3,
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (21546), (21664) gives:
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | | (21727) all_65_13 = e3
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_7, all_65_0, e3,
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | | e3, simplifying with (21576), (21644) gives:
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | | (21728) all_65_0 = all_65_7
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_57, all_65_0, e3,
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | | e3, simplifying with (21576), (21662) gives:
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | | (21729) all_65_0 = all_65_57
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (21728), (21729) imply:
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | | (21730) all_65_7 = all_65_57
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (21730) implies:
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | | (21731) all_65_7 = all_65_57
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (21726), (21731) imply:
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | | (21732) all_65_19 = all_65_57
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (21732) implies:
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | | (21733) all_65_19 = all_65_57
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (21719), (21727) imply:
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | | (21734) all_65_51 = e3
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (21734) implies:
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | | (21735) all_65_51 = e3
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (21725), (21733) imply:
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | | (21736) all_65_22 = all_65_57
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (21736) implies:
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | | (21737) all_65_22 = all_65_57
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (21724), (21737) imply:
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | | (21738) all_65_47 = all_65_57
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (21738) implies:
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | | (21739) all_65_47 = all_65_57
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (21718), (21721) imply:
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | | (21740) all_65_28 = all_65_77
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (21721), (21723) imply:
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | | (21741) all_65_28 = all_65_71
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (21721), (21722) imply:
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | | (21742) all_65_28 = all_65_47
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (21740), (21741) imply:
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | | (21743) all_65_71 = all_65_77
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (21741), (21742) imply:
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | | (21744) all_65_47 = all_65_71
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (21744) implies:
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | | (21745) all_65_47 = all_65_71
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (21717), (21720) imply:
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | | (21746) all_65_77 = all_16_0
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (21746) implies:
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | | (21747) all_65_77 = all_16_0
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (21739), (21745) imply:
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | | (21748) all_65_57 = all_65_71
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (21716), (21735) imply:
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | | (21749) all_65_57 = e3
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (21749) implies:
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | | (21750) all_65_57 = e3
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (21748), (21750) imply:
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | | (21751) all_65_71 = e3
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (21751) implies:
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | | (21752) all_65_71 = e3
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (21743), (21752) imply:
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | | (21753) all_65_77 = e3
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (21753) implies:
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | | (21754) all_65_77 = e3
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (21747), (21754) imply:
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | | (21755) all_16_0 = e3
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (21755) implies:
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | | (21756) all_16_0 = e3
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (21714), (21756) imply:
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | | (21757) $false
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (21757) is inconsistent.
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | End of split
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | (21758) all_63_13 = e2 | all_63_13 = e1 | all_63_13 = e0
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (508), (21558), (21594), (21657), (21758) are
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #444.
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | End of split
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | End of split
% 176.47/27.37 | | | | | | | | | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | | | | | | | | End of split
% 176.47/27.37 | | | | | | | | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | | | | | | | End of split
% 176.47/27.37 | | | | | | | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | | | | | | Case 2:
% 176.47/27.37 | | | | | | | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | | | | | | | (21759) all_63_7 = e2 | all_63_7 = e1 | all_63_7 = e0
% 176.47/27.37 | | | | | | | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | | | | | | | REF_CLOSE: (498), (21602), (21616), (21636), (21759) are
% 176.47/27.37 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #474.
% 176.47/27.37 | | | | | | | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | | | | | | End of split
% 176.47/27.37 | | | | | | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | | | | | Case 2:
% 176.47/27.37 | | | | | | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | | | | | | (21760) all_63_5 = e0
% 176.47/27.37 | | | | | | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | | | | | | COMBINE_EQS: (587), (21760) imply:
% 176.47/27.37 | | | | | | | | | | | | | | | | (21761) all_6_2 = e0
% 176.47/27.37 | | | | | | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | | | | | | REDUCE: (21604), (21761) imply:
% 176.47/27.37 | | | | | | | | | | | | | | | | (21762) $false
% 176.47/27.37 | | | | | | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | | | | | | CLOSE: (21762) is inconsistent.
% 176.47/27.37 | | | | | | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | | | | | End of split
% 176.47/27.37 | | | | | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | | | | End of split
% 176.47/27.37 | | | | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | | | End of split
% 176.47/27.37 | | | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | | End of split
% 176.47/27.37 | | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | Case 2:
% 176.47/27.37 | | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | | (21763) all_63_11 = e1 | all_63_11 = e0
% 176.47/27.37 | | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | | REF_CLOSE: (505), (21566), (21569), (21763) are inconsistent
% 176.47/27.37 | | | | | | | | | | | | by sub-proof #522.
% 176.47/27.37 | | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | End of split
% 176.47/27.37 | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | End of split
% 176.47/27.37 | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | End of split
% 176.47/27.37 | | | | | | | | |
% 176.47/27.37 | | | | | | | | Case 2:
% 176.47/27.37 | | | | | | | | |
% 176.47/27.37 | | | | | | | | | (21764) all_63_14 = e1 | all_63_14 = e0
% 176.47/27.37 | | | | | | | | |
% 176.47/27.37 | | | | | | | | | REF_CLOSE: (510), (21560), (21564), (21764) are inconsistent
% 176.47/27.37 | | | | | | | | | by sub-proof #428.
% 176.47/27.37 | | | | | | | | |
% 176.47/27.37 | | | | | | | | End of split
% 176.47/27.37 | | | | | | | |
% 176.47/27.37 | | | | | | | End of split
% 176.47/27.37 | | | | | | |
% 176.47/27.37 | | | | | | End of split
% 176.47/27.37 | | | | | |
% 176.47/27.37 | | | | | End of split
% 176.47/27.37 | | | | |
% 176.47/27.37 | | | | Case 2:
% 176.47/27.37 | | | | |
% 176.47/27.37 | | | | | (21765) ~ (unit = e3)
% 176.47/27.37 | | | | | (21766) unit = e2 | unit = e1 | unit = e0
% 176.47/27.37 | | | | |
% 176.47/27.37 | | | | | BETA: splitting (65) gives:
% 176.47/27.37 | | | | |
% 176.47/27.37 | | | | | Case 1:
% 176.47/27.37 | | | | | |
% 176.47/27.37 | | | | | | (21767) ~ (all_12_2 = e1)
% 176.47/27.37 | | | | | |
% 176.47/27.37 | | | | | | REDUCE: (575), (21767) imply:
% 176.47/27.37 | | | | | | (21768) ~ (all_6_2 = e1)
% 176.47/27.37 | | | | | |
% 176.47/27.37 | | | | | | BETA: splitting (68) gives:
% 176.47/27.37 | | | | | |
% 176.47/27.37 | | | | | | Case 1:
% 176.47/27.37 | | | | | | |
% 176.47/27.37 | | | | | | | (21769) ~ (all_14_2 = e2)
% 176.47/27.37 | | | | | | |
% 176.47/27.37 | | | | | | | BETA: splitting (77) gives:
% 176.47/27.37 | | | | | | |
% 176.47/27.37 | | | | | | | Case 1:
% 176.47/27.37 | | | | | | | |
% 176.47/27.37 | | | | | | | | (21770) ~ (all_20_2 = e2)
% 176.47/27.37 | | | | | | | |
% 176.47/27.37 | | | | | | | | BETA: splitting (80) gives:
% 176.47/27.37 | | | | | | | |
% 176.47/27.37 | | | | | | | | Case 1:
% 176.47/27.37 | | | | | | | | |
% 176.47/27.37 | | | | | | | | | (21771) ~ (all_22_2 = e0)
% 176.47/27.37 | | | | | | | | |
% 176.47/27.37 | | | | | | | | | REDUCE: (449), (21771) imply:
% 176.47/27.37 | | | | | | | | | (21772) ~ (all_6_2 = e0)
% 176.47/27.37 | | | | | | | | |
% 176.47/27.37 | | | | | | | | | BETA: splitting (266) gives:
% 176.47/27.37 | | | | | | | | |
% 176.47/27.37 | | | | | | | | | Case 1:
% 176.47/27.37 | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | (21773) all_63_5 = e3
% 176.47/27.37 | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | REF_CLOSE: (587), (21541), (21773) are inconsistent by
% 176.47/27.37 | | | | | | | | | | sub-proof #513.
% 176.47/27.37 | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | Case 2:
% 176.47/27.37 | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | (21774) all_63_5 = e2 | all_63_5 = e1 | all_63_5 = e0
% 176.47/27.37 | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | BETA: splitting (21774) gives:
% 176.47/27.37 | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | Case 1:
% 176.47/27.37 | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | (21775) all_63_5 = e2
% 176.47/27.37 | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | COMBINE_EQS: (587), (21775) imply:
% 176.47/27.37 | | | | | | | | | | | (21776) all_6_2 = e2
% 176.47/27.37 | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | SIMP: (21776) implies:
% 176.47/27.37 | | | | | | | | | | | (21777) all_6_2 = e2
% 176.47/27.37 | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | REDUCE: (607), (21777) imply:
% 176.47/27.37 | | | | | | | | | | | (21778) ~ (all_61_4 = e2)
% 176.47/27.37 | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | REDUCE: (611), (21777) imply:
% 176.47/27.37 | | | | | | | | | | | (21779) ~ (all_61_7 = e2)
% 176.47/27.37 | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | REDUCE: (613), (21777) imply:
% 176.47/27.37 | | | | | | | | | | | (21780) ~ (all_61_9 = e2)
% 176.47/27.37 | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | REDUCE: (615), (21777) imply:
% 176.47/27.37 | | | | | | | | | | | (21781) ~ (all_61_13 = e2)
% 176.47/27.37 | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | REDUCE: (654), (21777) imply:
% 176.47/27.37 | | | | | | | | | | | (21782) op(e2, e3) = all_65_20
% 176.47/27.37 | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | REDUCE: (656), (21777) imply:
% 176.47/27.37 | | | | | | | | | | | (21783) op(e2, e1) = all_65_22
% 176.47/27.37 | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | REDUCE: (657), (21777) imply:
% 176.47/27.37 | | | | | | | | | | | (21784) op(e2, e0) = all_65_23
% 176.47/27.37 | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | REDUCE: (703), (21777) imply:
% 176.47/27.37 | | | | | | | | | | | (21785) op(e3, e2) = all_65_5
% 176.47/27.37 | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | REDUCE: (720), (21777) imply:
% 176.47/27.37 | | | | | | | | | | | (21786) op(e2, e2) = all_65_21
% 176.47/27.37 | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | REDUCE: (55), (21777) imply:
% 176.47/27.37 | | | | | | | | | | | (21787) op(e2, e2) = e2
% 176.47/27.37 | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | REDUCE: (737), (21777) imply:
% 176.47/27.37 | | | | | | | | | | | (21788) op(e1, e2) = all_65_37
% 176.47/27.37 | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | REDUCE: (754), (21777) imply:
% 176.47/27.37 | | | | | | | | | | | (21789) op(e0, e2) = all_65_59
% 176.47/27.37 | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_7, all_65_59, e2,
% 176.47/27.37 | | | | | | | | | | | e0, simplifying with (225), (21789) gives:
% 176.47/27.37 | | | | | | | | | | | (21790) all_65_59 = all_61_7
% 176.47/27.37 | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_6, all_65_37, e2,
% 176.47/27.37 | | | | | | | | | | | e1, simplifying with (229), (21788) gives:
% 176.47/27.37 | | | | | | | | | | | (21791) all_65_37 = all_61_6
% 176.47/27.37 | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_13, all_65_23, e0,
% 176.47/27.37 | | | | | | | | | | | e2, simplifying with (231), (21784) gives:
% 176.47/27.37 | | | | | | | | | | | (21792) all_65_23 = all_61_13
% 176.47/27.37 | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_9, all_65_22, e1,
% 176.47/27.37 | | | | | | | | | | | e2, simplifying with (232), (21783) gives:
% 176.47/27.37 | | | | | | | | | | | (21793) all_65_22 = all_61_9
% 176.47/27.37 | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | GROUND_INST: instantiating (50) with e2, all_65_21, e2, e2,
% 176.47/27.37 | | | | | | | | | | | simplifying with (21786), (21787) gives:
% 176.47/27.37 | | | | | | | | | | | (21794) all_65_21 = e2
% 176.47/27.37 | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_1, all_65_20, e3,
% 176.47/27.37 | | | | | | | | | | | e2, simplifying with (234), (21782) gives:
% 176.47/27.37 | | | | | | | | | | | (21795) all_65_20 = all_61_1
% 176.47/27.37 | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_4, all_65_5, e2,
% 176.47/27.37 | | | | | | | | | | | e3, simplifying with (237), (21785) gives:
% 176.47/27.37 | | | | | | | | | | | (21796) all_65_5 = all_61_4
% 176.47/27.37 | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | REDUCE: (671), (21791) imply:
% 176.47/27.37 | | | | | | | | | | | (21797) op(all_61_6, e2) = all_61_6
% 176.47/27.37 | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | REDUCE: (687), (21790) imply:
% 176.47/27.37 | | | | | | | | | | | (21798) op(all_61_7, e2) = all_61_7
% 176.47/27.37 | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | BETA: splitting (89) gives:
% 176.47/27.37 | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | Case 1:
% 176.47/27.37 | | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | | (21799) ~ (all_28_2 = e3)
% 176.47/27.37 | | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | | REDUCE: (563), (21799) imply:
% 176.47/27.37 | | | | | | | | | | | | (21800) ~ (all_20_2 = e3)
% 176.47/27.37 | | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | | BETA: splitting (101) gives:
% 176.47/27.37 | | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | | Case 1:
% 176.47/27.37 | | | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | | | (21801) ~ (all_36_2 = e0)
% 176.47/27.37 | | | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | | | REDUCE: (557), (21801) imply:
% 176.47/27.37 | | | | | | | | | | | | | (21802) ~ (all_14_2 = e0)
% 176.47/27.37 | | | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | | | BETA: splitting (107) gives:
% 176.47/27.37 | | | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | | | Case 1:
% 176.47/27.37 | | | | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | | | | (21803) ~ (all_40_2 = e1)
% 176.47/27.37 | | | | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | | | | REDUCE: (553), (21803) imply:
% 176.47/27.37 | | | | | | | | | | | | | | (21804) ~ (all_14_2 = e1)
% 176.47/27.37 | | | | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | | | | REF_CLOSE: (10), (50), (67), (151), (159), (162), (165),
% 176.47/27.37 | | | | | | | | | | | | | | (166), (167), (168), (226), (230), (234), (235),
% 176.47/27.37 | | | | | | | | | | | | | | (236), (237), (271), (475), (478), (481), (484),
% 176.47/27.37 | | | | | | | | | | | | | | (534), (588), (599), (601), (603), (635), (636),
% 176.47/27.37 | | | | | | | | | | | | | | (637), (638), (642), (646), (650), (666), (682),
% 176.47/27.37 | | | | | | | | | | | | | | (698), (714), (715), (731), (732), (748), (749),
% 176.47/27.37 | | | | | | | | | | | | | | (765), (21765), (21769), (21802), (21804) are
% 176.47/27.37 | | | | | | | | | | | | | | inconsistent by sub-proof #502.
% 176.47/27.37 | | | | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | | | Case 2:
% 176.47/27.37 | | | | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | | | | (21805) all_40_2 = e1
% 176.47/27.37 | | | | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | | | | COMBINE_EQS: (553), (21805) imply:
% 176.47/27.37 | | | | | | | | | | | | | | (21806) all_14_2 = e1
% 176.47/27.37 | | | | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | | | | REDUCE: (599), (21806) imply:
% 176.47/27.37 | | | | | | | | | | | | | | (21807) ~ (all_61_4 = e1)
% 176.47/27.37 | | | | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | | | | REDUCE: (21507), (21806) imply:
% 176.47/27.37 | | | | | | | | | | | | | | (21808) ~ (all_4_1 = e1)
% 176.47/27.37 | | | | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | | | | SIMP: (21808) implies:
% 176.47/27.37 | | | | | | | | | | | | | | (21809) ~ (all_4_1 = e1)
% 176.47/27.37 | | | | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | | | | REDUCE: (635), (21806) imply:
% 176.47/27.37 | | | | | | | | | | | | | | (21810) op(e1, e2) = all_65_1
% 176.47/27.37 | | | | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | | | | REDUCE: (637), (21806) imply:
% 176.47/27.37 | | | | | | | | | | | | | | (21811) op(e1, e0) = all_65_3
% 176.47/27.37 | | | | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | | | | REDUCE: (67), (21806) imply:
% 176.47/27.37 | | | | | | | | | | | | | | (21812) op(e3, e3) = e1
% 176.47/27.37 | | | | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | | | | REDUCE: (715), (21806) imply:
% 176.47/27.37 | | | | | | | | | | | | | | (21813) op(e2, e1) = all_65_16
% 176.47/27.37 | | | | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | | | | REDUCE: (732), (21806) imply:
% 176.47/27.37 | | | | | | | | | | | | | | (21814) op(e1, e1) = all_65_32
% 176.47/27.37 | | | | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | | | | REDUCE: (749), (21806) imply:
% 176.47/27.37 | | | | | | | | | | | | | | (21815) op(e0, e1) = all_65_49
% 176.47/27.37 | | | | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_11, all_65_49, e1,
% 176.47/27.37 | | | | | | | | | | | | | | e0, simplifying with (224), (21815) gives:
% 176.47/27.37 | | | | | | | | | | | | | | (21816) all_65_49 = all_61_11
% 176.47/27.37 | | | | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_14, all_65_3, e0,
% 176.47/27.37 | | | | | | | | | | | | | | e1, simplifying with (227), (21811) gives:
% 176.47/27.37 | | | | | | | | | | | | | | (21817) all_65_3 = all_61_14
% 176.47/27.37 | | | | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e3, all_65_32, e1, e1,
% 176.47/27.37 | | | | | | | | | | | | | | simplifying with (21466), (21814) gives:
% 176.47/27.37 | | | | | | | | | | | | | | (21818) all_65_32 = e3
% 176.47/27.37 | | | | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_6, all_65_1, e2,
% 176.47/27.37 | | | | | | | | | | | | | | e1, simplifying with (229), (21810) gives:
% 176.47/27.37 | | | | | | | | | | | | | | (21819) all_65_1 = all_61_6
% 176.47/27.37 | | | | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_9, all_65_16, e1,
% 176.47/27.37 | | | | | | | | | | | | | | e2, simplifying with (232), (21813) gives:
% 176.47/27.37 | | | | | | | | | | | | | | (21820) all_65_16 = all_61_9
% 176.47/27.37 | | | | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | | | | BETA: splitting (110) gives:
% 176.47/27.37 | | | | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | | | | Case 1:
% 176.47/27.37 | | | | | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | | | | | (21821) ~ (all_42_2 = e1)
% 176.47/27.37 | | | | | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | | | | | REDUCE: (532), (21821) imply:
% 176.47/27.37 | | | | | | | | | | | | | | | (21822) ~ (all_20_2 = e1)
% 176.47/27.37 | | | | | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | | | | | BETA: splitting (256) gives:
% 176.47/27.37 | | | | | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | | | | | Case 1:
% 176.47/27.37 | | | | | | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | | | | | | (21823) all_63_15 = e3
% 176.47/27.37 | | | | | | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | | | | | | REF_CLOSE: (422), (21800), (21823) are inconsistent by
% 176.47/27.37 | | | | | | | | | | | | | | | | sub-proof #501.
% 176.47/27.37 | | | | | | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | | | | | Case 2:
% 176.47/27.37 | | | | | | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | | | | | | (21824) all_63_15 = e2 | all_63_15 = e1 | all_63_15 = e0
% 176.47/27.37 | | | | | | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | | | | | | BETA: splitting (21824) gives:
% 176.47/27.37 | | | | | | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | | | | | | Case 1:
% 176.47/27.37 | | | | | | | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | | | | | | | (21825) all_63_15 = e2
% 176.47/27.37 | | | | | | | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | | | | | | | REF_CLOSE: (422), (21770), (21825) are inconsistent by
% 176.47/27.37 | | | | | | | | | | | | | | | | | sub-proof #500.
% 176.47/27.37 | | | | | | | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | | | | | | Case 2:
% 176.47/27.37 | | | | | | | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | | | | | | | (21826) all_63_15 = e1 | all_63_15 = e0
% 176.47/27.37 | | | | | | | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | | | | | | | BETA: splitting (21826) gives:
% 176.47/27.37 | | | | | | | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | | | | | | | Case 1:
% 176.47/27.37 | | | | | | | | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | | | | | | | | (21827) all_63_15 = e1
% 176.47/27.37 | | | | | | | | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | | | | | | | | REF_CLOSE: (422), (21822), (21827) are inconsistent by
% 176.47/27.37 | | | | | | | | | | | | | | | | | | sub-proof #499.
% 176.47/27.37 | | | | | | | | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | | | | | | | Case 2:
% 176.47/27.37 | | | | | | | | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | | | | | | | | (21828) all_63_15 = e0
% 176.47/27.37 | | | | | | | | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (422), (21828) imply:
% 176.47/27.37 | | | | | | | | | | | | | | | | | | (21829) all_20_2 = e0
% 176.47/27.37 | | | | | | | | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | | | | | | | | SIMP: (21829) implies:
% 176.47/27.37 | | | | | | | | | | | | | | | | | | (21830) all_20_2 = e0
% 176.47/27.37 | | | | | | | | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | | | | | | | | REDUCE: (627), (21830) imply:
% 176.47/27.37 | | | | | | | | | | | | | | | | | | (21831) ~ (all_61_14 = e0)
% 176.47/27.37 | | | | | | | | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | | | | | | | | REDUCE: (695), (21830) imply:
% 176.47/27.37 | | | | | | | | | | | | | | | | | | (21832) op(e0, e2) = all_65_75
% 176.47/27.37 | | | | | | | | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | | | | | | | | REDUCE: (696), (21830) imply:
% 176.47/27.37 | | | | | | | | | | | | | | | | | | (21833) op(e0, e1) = all_65_77
% 176.47/27.37 | | | | | | | | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | | | | | | | | REDUCE: (730), (21830) imply:
% 176.47/27.37 | | | | | | | | | | | | | | | | | | (21834) op(e2, e0) = all_65_31
% 176.47/27.37 | | | | | | | | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | | | | | | | | REDUCE: (747), (21830) imply:
% 176.47/27.37 | | | | | | | | | | | | | | | | | | (21835) op(e1, e0) = all_65_47
% 176.47/27.37 | | | | | | | | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | | | | | | | | REDUCE: (764), (21830) imply:
% 176.47/27.37 | | | | | | | | | | | | | | | | | | (21836) op(e0, e0) = all_65_78
% 176.47/27.37 | | | | | | | | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | | | | | | | | REDUCE: (76), (21830) imply:
% 176.47/27.37 | | | | | | | | | | | | | | | | | | (21837) op(e0, e0) = e0
% 176.47/27.37 | | | | | | | | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e0, all_65_78, e0, e0,
% 176.47/27.37 | | | | | | | | | | | | | | | | | | simplifying with (21836), (21837) gives:
% 176.47/27.37 | | | | | | | | | | | | | | | | | | (21838) all_65_78 = e0
% 176.47/27.37 | | | | | | | | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_11, all_65_77, e1,
% 176.47/27.37 | | | | | | | | | | | | | | | | | | e0, simplifying with (224), (21833) gives:
% 176.47/27.37 | | | | | | | | | | | | | | | | | | (21839) all_65_77 = all_61_11
% 176.47/27.37 | | | | | | | | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_7, all_65_75, e2,
% 176.47/27.37 | | | | | | | | | | | | | | | | | | e0, simplifying with (225), (21832) gives:
% 176.47/27.37 | | | | | | | | | | | | | | | | | | (21840) all_65_75 = all_61_7
% 176.47/27.37 | | | | | | | | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_14, all_65_47, e0,
% 176.47/27.37 | | | | | | | | | | | | | | | | | | e1, simplifying with (227), (21835) gives:
% 176.47/27.37 | | | | | | | | | | | | | | | | | | (21841) all_65_47 = all_61_14
% 176.47/27.37 | | | | | | | | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_13, all_65_31, e0,
% 176.47/27.37 | | | | | | | | | | | | | | | | | | e2, simplifying with (231), (21834) gives:
% 176.47/27.37 | | | | | | | | | | | | | | | | | | (21842) all_65_31 = all_61_13
% 176.47/27.37 | | | | | | | | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | | | | | | | | REDUCE: (681), (21841) imply:
% 176.47/27.37 | | | | | | | | | | | | | | | | | | (21843) op(all_61_14, e0) = all_61_14
% 176.47/27.37 | | | | | | | | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | | | | | | | | BETA: splitting (157) gives:
% 176.47/27.37 | | | | | | | | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | | | | | | | | Case 1:
% 176.47/27.37 | | | | | | | | | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | (21844) ~ (all_58_3 = e1)
% 176.47/27.37 | | | | | | | | | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | REDUCE: (475), (21844) imply:
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | (21845) ~ (all_52_3 = e1)
% 176.47/27.37 | | | | | | | | | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | BETA: splitting (160) gives:
% 176.47/27.37 | | | | | | | | | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | Case 1:
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | (21846) ~ (all_58_2 = e0)
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | REDUCE: (478), (21846) imply:
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | (21847) ~ (all_52_2 = e0)
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | BETA: splitting (161) gives:
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | (21848) ~ (all_58_2 = e2)
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | REDUCE: (478), (21848) imply:
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | (21849) ~ (all_52_2 = e2)
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (162) gives:
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | (21850) ~ (all_58_2 = e3)
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (478), (21850) imply:
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | (21851) ~ (all_52_2 = e3)
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (50), (149), (538), (748), (21466), (21765),
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | (21847), (21849), (21851) are inconsistent by
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | sub-proof #54.
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | (21852) all_58_2 = e3
% 176.47/27.37 | | | | | | | | | | | | | | | | | | | | | | (21853) all_58_0 = e1
% 176.47/27.38 | | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.38 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (484), (21853) imply:
% 176.47/27.38 | | | | | | | | | | | | | | | | | | | | | | (21854) all_52_0 = e1
% 176.47/27.38 | | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.38 | | | | | | | | | | | | | | | | | | | | | | SIMP: (21854) implies:
% 176.47/27.38 | | | | | | | | | | | | | | | | | | | | | | (21855) all_52_0 = e1
% 176.47/27.38 | | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.38 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (478), (21852) imply:
% 176.47/27.38 | | | | | | | | | | | | | | | | | | | | | | (21856) all_52_2 = e3
% 176.47/27.38 | | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.38 | | | | | | | | | | | | | | | | | | | | | | SIMP: (21856) implies:
% 176.47/27.38 | | | | | | | | | | | | | | | | | | | | | | (21857) all_52_2 = e3
% 176.47/27.38 | | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.38 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (630), (21855) imply:
% 176.47/27.38 | | | | | | | | | | | | | | | | | | | | | | (21858) ~ (all_52_3 = e1)
% 176.47/27.38 | | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.38 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (633), (21857) imply:
% 176.47/27.38 | | | | | | | | | | | | | | | | | | | | | | (21859) ~ (all_52_3 = e3)
% 176.47/27.38 | | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.38 | | | | | | | | | | | | | | | | | | | | | | SIMP: (21859) implies:
% 176.47/27.38 | | | | | | | | | | | | | | | | | | | | | | (21860) ~ (all_52_3 = e3)
% 176.47/27.38 | | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.38 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (50), (148), (158), (163), (225), (231),
% 176.47/27.38 | | | | | | | | | | | | | | | | | | | | | | (475), (481), (539), (663), (731), (765), (21781),
% 176.47/27.38 | | | | | | | | | | | | | | | | | | | | | | (21798), (21837), (21845), (21860) are
% 176.47/27.38 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #53.
% 176.47/27.38 | | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.38 | | | | | | | | | | | | | | | | | | | | | End of split
% 176.47/27.38 | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.38 | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.47/27.38 | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.38 | | | | | | | | | | | | | | | | | | | | | (21861) all_58_2 = e2
% 176.47/27.38 | | | | | | | | | | | | | | | | | | | | | (21862) all_58_1 = e1
% 176.47/27.38 | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.38 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (50), (229), (232), (478), (481), (659),
% 176.47/27.38 | | | | | | | | | | | | | | | | | | | | | (731), (748), (21780), (21797), (21861), (21862)
% 176.47/27.38 | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #50.
% 176.47/27.38 | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.38 | | | | | | | | | | | | | | | | | | | | End of split
% 176.47/27.38 | | | | | | | | | | | | | | | | | | | |
% 176.47/27.38 | | | | | | | | | | | | | | | | | | | Case 2:
% 176.47/27.38 | | | | | | | | | | | | | | | | | | | |
% 176.47/27.38 | | | | | | | | | | | | | | | | | | | | (21863) all_58_3 = e1
% 176.47/27.38 | | | | | | | | | | | | | | | | | | | |
% 176.47/27.38 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (475), (21845), (21863) are inconsistent by
% 176.47/27.38 | | | | | | | | | | | | | | | | | | | | sub-proof #460.
% 176.47/27.38 | | | | | | | | | | | | | | | | | | | |
% 176.47/27.38 | | | | | | | | | | | | | | | | | | | End of split
% 176.47/27.38 | | | | | | | | | | | | | | | | | | |
% 176.47/27.38 | | | | | | | | | | | | | | | | | | Case 2:
% 176.47/27.38 | | | | | | | | | | | | | | | | | | |
% 176.47/27.38 | | | | | | | | | | | | | | | | | | | (21864) all_58_3 = e1
% 176.47/27.38 | | | | | | | | | | | | | | | | | | | (21865) all_58_2 = e0
% 176.47/27.38 | | | | | | | | | | | | | | | | | | |
% 176.47/27.38 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (478), (21865) imply:
% 176.47/27.38 | | | | | | | | | | | | | | | | | | | (21866) all_52_2 = e0
% 176.47/27.38 | | | | | | | | | | | | | | | | | | |
% 176.47/27.38 | | | | | | | | | | | | | | | | | | | SIMP: (21866) implies:
% 176.47/27.38 | | | | | | | | | | | | | | | | | | | (21867) all_52_2 = e0
% 176.47/27.38 | | | | | | | | | | | | | | | | | | |
% 176.47/27.38 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (50), (224), (227), (475), (693), (748),
% 176.47/27.38 | | | | | | | | | | | | | | | | | | | (765), (21831), (21843), (21864), (21867) are
% 176.47/27.38 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #48.
% 176.47/27.38 | | | | | | | | | | | | | | | | | | |
% 176.47/27.38 | | | | | | | | | | | | | | | | | | End of split
% 176.47/27.38 | | | | | | | | | | | | | | | | | |
% 176.47/27.38 | | | | | | | | | | | | | | | | | End of split
% 176.47/27.38 | | | | | | | | | | | | | | | | |
% 176.47/27.38 | | | | | | | | | | | | | | | | End of split
% 176.47/27.38 | | | | | | | | | | | | | | | |
% 176.47/27.38 | | | | | | | | | | | | | | | End of split
% 176.47/27.38 | | | | | | | | | | | | | | |
% 176.47/27.38 | | | | | | | | | | | | | | Case 2:
% 176.47/27.38 | | | | | | | | | | | | | | |
% 176.47/27.38 | | | | | | | | | | | | | | | (21868) all_42_2 = e1
% 176.47/27.38 | | | | | | | | | | | | | | | (21869) op(e0, e1) = all_42_1 & $i(all_42_1) & ( ~
% 176.47/27.38 | | | | | | | | | | | | | | | (all_42_1 = e3) | ( ~ (all_42_0 = e2) & op(e3,
% 176.47/27.38 | | | | | | | | | | | | | | | e0) = all_42_0 & $i(all_42_0)))
% 176.47/27.38 | | | | | | | | | | | | | | |
% 176.47/27.38 | | | | | | | | | | | | | | | ALPHA: (21869) implies:
% 176.47/27.38 | | | | | | | | | | | | | | | (21870) op(e0, e1) = all_42_1
% 176.47/27.38 | | | | | | | | | | | | | | |
% 176.47/27.38 | | | | | | | | | | | | | | | COMBINE_EQS: (532), (21868) imply:
% 176.47/27.38 | | | | | | | | | | | | | | | (21871) all_20_2 = e1
% 176.47/27.38 | | | | | | | | | | | | | | |
% 176.47/27.38 | | | | | | | | | | | | | | | REDUCE: (606), (21871) imply:
% 176.47/27.38 | | | | | | | | | | | | | | | (21872) ~ (all_61_3 = e1)
% 176.47/27.38 | | | | | | | | | | | | | | |
% 176.47/27.38 | | | | | | | | | | | | | | | REDUCE: (626), (21871) imply:
% 176.47/27.38 | | | | | | | | | | | | | | | (21873) ~ (all_61_13 = e1)
% 176.47/27.38 | | | | | | | | | | | | | | |
% 176.47/27.38 | | | | | | | | | | | | | | | REDUCE: (695), (21871) imply:
% 176.47/27.38 | | | | | | | | | | | | | | | (21874) op(e1, e2) = all_65_75
% 176.47/27.38 | | | | | | | | | | | | | | |
% 176.47/27.38 | | | | | | | | | | | | | | | REDUCE: (696), (21871) imply:
% 176.47/27.38 | | | | | | | | | | | | | | | (21875) op(e1, e1) = all_65_77
% 176.47/27.38 | | | | | | | | | | | | | | |
% 176.47/27.38 | | | | | | | | | | | | | | | REDUCE: (697), (21871) imply:
% 176.47/27.38 | | | | | | | | | | | | | | | (21876) op(e1, e0) = all_65_78
% 176.47/27.38 | | | | | | | | | | | | | | |
% 176.47/27.38 | | | | | | | | | | | | | | | REDUCE: (730), (21871) imply:
% 176.47/27.38 | | | | | | | | | | | | | | | (21877) op(e2, e1) = all_65_31
% 176.47/27.38 | | | | | | | | | | | | | | |
% 176.47/27.38 | | | | | | | | | | | | | | | REDUCE: (747), (21871) imply:
% 176.47/27.38 | | | | | | | | | | | | | | | (21878) op(e1, e1) = all_65_47
% 176.47/27.38 | | | | | | | | | | | | | | |
% 176.47/27.38 | | | | | | | | | | | | | | | REDUCE: (764), (21871) imply:
% 176.47/27.38 | | | | | | | | | | | | | | | (21879) op(e0, e1) = all_65_78
% 176.47/27.38 | | | | | | | | | | | | | | |
% 176.47/27.38 | | | | | | | | | | | | | | | REDUCE: (76), (21871) imply:
% 176.47/27.38 | | | | | | | | | | | | | | | (21880) op(e0, e0) = e1
% 176.47/27.38 | | | | | | | | | | | | | | |
% 176.47/27.38 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_11, all_65_78, e1,
% 176.47/27.38 | | | | | | | | | | | | | | | e0, simplifying with (224), (21879) gives:
% 176.47/27.38 | | | | | | | | | | | | | | | (21881) all_65_78 = all_61_11
% 176.47/27.38 | | | | | | | | | | | | | | |
% 176.47/27.38 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_42_1, all_65_78, e1,
% 176.47/27.38 | | | | | | | | | | | | | | | e0, simplifying with (21870), (21879) gives:
% 176.47/27.38 | | | | | | | | | | | | | | | (21882) all_65_78 = all_42_1
% 176.47/27.38 | | | | | | | | | | | | | | |
% 176.47/27.38 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_14, all_65_78, e0,
% 176.47/27.38 | | | | | | | | | | | | | | | e1, simplifying with (227), (21876) gives:
% 176.47/27.38 | | | | | | | | | | | | | | | (21883) all_65_78 = all_61_14
% 176.47/27.38 | | | | | | | | | | | | | | |
% 176.47/27.38 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e3, all_65_47, e1, e1,
% 176.47/27.38 | | | | | | | | | | | | | | | simplifying with (21466), (21878) gives:
% 176.47/27.38 | | | | | | | | | | | | | | | (21884) all_65_47 = e3
% 176.47/27.38 | | | | | | | | | | | | | | |
% 176.47/27.38 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_77, all_65_47, e1,
% 176.47/27.38 | | | | | | | | | | | | | | | e1, simplifying with (21875), (21878) gives:
% 176.47/27.38 | | | | | | | | | | | | | | | (21885) all_65_47 = all_65_77
% 176.47/27.38 | | | | | | | | | | | | | | |
% 176.47/27.38 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_6, all_65_75, e2,
% 176.47/27.38 | | | | | | | | | | | | | | | e1, simplifying with (229), (21874) gives:
% 176.47/27.38 | | | | | | | | | | | | | | | (21886) all_65_75 = all_61_6
% 176.47/27.38 | | | | | | | | | | | | | | |
% 176.47/27.38 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_9, all_65_31, e1,
% 176.47/27.38 | | | | | | | | | | | | | | | e2, simplifying with (232), (21877) gives:
% 176.47/27.38 | | | | | | | | | | | | | | | (21887) all_65_31 = all_61_9
% 176.47/27.38 | | | | | | | | | | | | | | |
% 176.47/27.38 | | | | | | | | | | | | | | | COMBINE_EQS: (21884), (21885) imply:
% 176.47/27.38 | | | | | | | | | | | | | | | (21888) all_65_77 = e3
% 176.47/27.38 | | | | | | | | | | | | | | |
% 176.47/27.38 | | | | | | | | | | | | | | | SIMP: (21888) implies:
% 176.47/27.38 | | | | | | | | | | | | | | | (21889) all_65_77 = e3
% 176.47/27.38 | | | | | | | | | | | | | | |
% 176.47/27.38 | | | | | | | | | | | | | | | COMBINE_EQS: (21881), (21882) imply:
% 176.47/27.38 | | | | | | | | | | | | | | | (21890) all_61_11 = all_42_1
% 176.47/27.38 | | | | | | | | | | | | | | |
% 176.47/27.38 | | | | | | | | | | | | | | | SIMP: (21890) implies:
% 176.47/27.38 | | | | | | | | | | | | | | | (21891) all_61_11 = all_42_1
% 176.47/27.38 | | | | | | | | | | | | | | |
% 176.47/27.38 | | | | | | | | | | | | | | | COMBINE_EQS: (21882), (21883) imply:
% 176.47/27.38 | | | | | | | | | | | | | | | (21892) all_61_14 = all_42_1
% 176.47/27.38 | | | | | | | | | | | | | | |
% 176.47/27.38 | | | | | | | | | | | | | | | SIMP: (21892) implies:
% 176.47/27.38 | | | | | | | | | | | | | | | (21893) all_61_14 = all_42_1
% 176.47/27.38 | | | | | | | | | | | | | | |
% 176.47/27.38 | | | | | | | | | | | | | | | REDUCE: (21518), (21891) imply:
% 176.47/27.38 | | | | | | | | | | | | | | | (21894) op(all_42_1, e1) = all_61_3
% 176.47/27.38 | | | | | | | | | | | | | | |
% 176.47/27.38 | | | | | | | | | | | | | | | REDUCE: (680), (21893) imply:
% 176.47/27.38 | | | | | | | | | | | | | | | (21895) op(all_42_1, e1) = all_65_46
% 176.47/27.38 | | | | | | | | | | | | | | |
% 176.47/27.38 | | | | | | | | | | | | | | | REDUCE: (746), (21891) imply:
% 176.47/27.38 | | | | | | | | | | | | | | | (21896) op(e1, all_42_1) = all_65_46
% 176.47/27.38 | | | | | | | | | | | | | | |
% 176.47/27.38 | | | | | | | | | | | | | | | REDUCE: (21525), (21893) imply:
% 176.47/27.38 | | | | | | | | | | | | | | | (21897) op(e1, all_42_1) = all_61_12
% 176.47/27.38 | | | | | | | | | | | | | | |
% 176.47/27.38 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_12, all_65_46,
% 176.47/27.38 | | | | | | | | | | | | | | | all_42_1, e1, simplifying with (21896), (21897)
% 176.47/27.38 | | | | | | | | | | | | | | | gives:
% 176.47/27.38 | | | | | | | | | | | | | | | (21898) all_65_46 = all_61_12
% 176.47/27.38 | | | | | | | | | | | | | | |
% 176.47/27.38 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_3, all_65_46, e1,
% 176.47/27.38 | | | | | | | | | | | | | | | all_42_1, simplifying with (21894), (21895) gives:
% 176.47/27.38 | | | | | | | | | | | | | | | (21899) all_65_46 = all_61_3
% 176.47/27.38 | | | | | | | | | | | | | | |
% 176.47/27.38 | | | | | | | | | | | | | | | COMBINE_EQS: (21898), (21899) imply:
% 176.47/27.38 | | | | | | | | | | | | | | | (21900) all_61_3 = all_61_12
% 176.47/27.38 | | | | | | | | | | | | | | |
% 176.47/27.38 | | | | | | | | | | | | | | | COMBINE_EQS: (506), (21900) imply:
% 176.47/27.38 | | | | | | | | | | | | | | | (21901) all_63_12 = all_61_12
% 176.47/27.38 | | | | | | | | | | | | | | |
% 176.47/27.38 | | | | | | | | | | | | | | | REDUCE: (21872), (21900) imply:
% 176.47/27.38 | | | | | | | | | | | | | | | (21902) ~ (all_61_12 = e1)
% 176.47/27.38 | | | | | | | | | | | | | | |
% 176.47/27.38 | | | | | | | | | | | | | | | BETA: splitting (159) gives:
% 176.47/27.38 | | | | | | | | | | | | | | |
% 176.47/27.38 | | | | | | | | | | | | | | | Case 1:
% 176.47/27.38 | | | | | | | | | | | | | | | |
% 176.47/27.38 | | | | | | | | | | | | | | | | (21903) ~ (all_58_3 = e3)
% 176.47/27.38 | | | | | | | | | | | | | | | |
% 176.47/27.38 | | | | | | | | | | | | | | | | REDUCE: (475), (21903) imply:
% 176.47/27.38 | | | | | | | | | | | | | | | | (21904) ~ (all_52_3 = e3)
% 176.47/27.38 | | | | | | | | | | | | | | | |
% 176.47/27.38 | | | | | | | | | | | | | | | | BETA: splitting (166) gives:
% 176.47/27.38 | | | | | | | | | | | | | | | |
% 176.47/27.38 | | | | | | | | | | | | | | | | Case 1:
% 176.47/27.38 | | | | | | | | | | | | | | | | |
% 176.47/27.38 | | | | | | | | | | | | | | | | | (21905) ~ (all_58_0 = e0)
% 176.47/27.38 | | | | | | | | | | | | | | | | |
% 176.47/27.38 | | | | | | | | | | | | | | | | | REDUCE: (484), (21905) imply:
% 176.47/27.38 | | | | | | | | | | | | | | | | | (21906) ~ (all_52_0 = e0)
% 176.47/27.38 | | | | | | | | | | | | | | | | |
% 176.47/27.38 | | | | | | | | | | | | | | | | | BETA: splitting (158) gives:
% 176.47/27.38 | | | | | | | | | | | | | | | | |
% 176.47/27.38 | | | | | | | | | | | | | | | | | Case 1:
% 176.47/27.38 | | | | | | | | | | | | | | | | | |
% 176.47/27.38 | | | | | | | | | | | | | | | | | | (21907) ~ (all_58_3 = e2)
% 176.47/27.38 | | | | | | | | | | | | | | | | | |
% 176.47/27.38 | | | | | | | | | | | | | | | | | | REDUCE: (475), (21907) imply:
% 176.47/27.38 | | | | | | | | | | | | | | | | | | (21908) ~ (all_52_3 = e2)
% 176.47/27.38 | | | | | | | | | | | | | | | | | |
% 176.47/27.38 | | | | | | | | | | | | | | | | | | BETA: splitting (163) gives:
% 176.47/27.38 | | | | | | | | | | | | | | | | | |
% 176.47/27.38 | | | | | | | | | | | | | | | | | | Case 1:
% 176.47/27.38 | | | | | | | | | | | | | | | | | | |
% 176.47/27.38 | | | | | | | | | | | | | | | | | | | (21909) ~ (all_58_1 = e0)
% 176.47/27.38 | | | | | | | | | | | | | | | | | | |
% 176.47/27.38 | | | | | | | | | | | | | | | | | | | REDUCE: (481), (21909) imply:
% 176.47/27.38 | | | | | | | | | | | | | | | | | | | (21910) ~ (all_52_1 = e0)
% 176.47/27.38 | | | | | | | | | | | | | | | | | | |
% 176.47/27.38 | | | | | | | | | | | | | | | | | | | BETA: splitting (161) gives:
% 176.47/27.38 | | | | | | | | | | | | | | | | | | |
% 176.47/27.38 | | | | | | | | | | | | | | | | | | | Case 1:
% 176.47/27.38 | | | | | | | | | | | | | | | | | | | |
% 176.47/27.38 | | | | | | | | | | | | | | | | | | | | (21911) ~ (all_58_2 = e2)
% 176.47/27.38 | | | | | | | | | | | | | | | | | | | |
% 176.47/27.38 | | | | | | | | | | | | | | | | | | | | REDUCE: (478), (21911) imply:
% 176.47/27.38 | | | | | | | | | | | | | | | | | | | | (21912) ~ (all_52_2 = e2)
% 176.47/27.38 | | | | | | | | | | | | | | | | | | | |
% 176.47/27.38 | | | | | | | | | | | | | | | | | | | | BETA: splitting (164) gives:
% 176.47/27.38 | | | | | | | | | | | | | | | | | | | |
% 176.47/27.38 | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.47/27.38 | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.38 | | | | | | | | | | | | | | | | | | | | | (21913) ~ (all_58_1 = e1)
% 176.47/27.38 | | | | | | | | | | | | | | | | | | | | |
% 176.47/27.38 | | | | | | | | | | | | | | | | | | | | | REDUCE: (481), (21913) imply:
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | (21914) ~ (all_52_1 = e1)
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (162) gives:
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | (21915) ~ (all_58_2 = e3)
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (478), (21915) imply:
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | (21916) ~ (all_52_2 = e3)
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (167) gives:
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | | (21917) ~ (all_58_0 = e1)
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (484), (21917) imply:
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | | (21918) ~ (all_52_0 = e1)
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (165) gives:
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | | | (21919) ~ (all_58_1 = e3)
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (481), (21919) imply:
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | | | (21920) ~ (all_52_1 = e3)
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (50), (150), (151), (534), (536), (628), (714),
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | | | (731), (21787), (21812), (21906), (21910),
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | | | (21914), (21918), (21920) are inconsistent by
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #281.
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | | | (21921) all_58_1 = e3
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | | | (21922) all_58_0 = e2
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (484), (21922) imply:
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | | | (21923) all_52_0 = e2
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (21923) implies:
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | | | (21924) all_52_0 = e2
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (481), (21921) imply:
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | | | (21925) all_52_1 = e3
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (21925) implies:
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | | | (21926) all_52_1 = e3
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (714), (21924) imply:
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | | | (21927) op(e3, e2) = unit
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (731), (21926) imply:
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | | | (21928) op(e2, e3) = unit
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_1, unit, e3, e2,
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (234), (21928) gives:
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | | | (21929) all_61_1 = unit
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_4, unit, e2, e3,
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (237), (21927) gives:
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | | | (21930) all_61_4 = unit
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (493), (21929) imply:
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | | | (21931) all_63_4 = unit
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (212), (21929) imply:
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | | | (21932) ~ (all_61_13 = unit)
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (21932) implies:
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | | | (21933) ~ (all_61_13 = unit)
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (200), (21930) imply:
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | | | (21934) ~ (all_61_12 = unit)
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (21934) implies:
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | | | (21935) ~ (all_61_12 = unit)
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (21499), (21930) imply:
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | | | (21936) ~ (all_4_1 = unit)
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (21936) implies:
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | | | (21937) ~ (all_4_1 = unit)
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (21778), (21930) imply:
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | | | (21938) ~ (unit = e2)
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (21807), (21930) imply:
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | | | (21939) ~ (unit = e1)
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (267) gives:
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | (21940) all_63_4 = e3
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (21931), (21940) imply:
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | (21941) unit = e3
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (21765), (21941) imply:
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | (21942) $false
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (21942) is inconsistent.
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | (21943) all_63_4 = e2 | all_63_4 = e1 | all_63_4 = e0
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (21943) gives:
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | (21944) all_63_4 = e2
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (21931), (21944) imply:
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | (21945) unit = e2
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (21938), (21945) imply:
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | (21946) $false
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (21946) is inconsistent.
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | (21947) all_63_4 = e1 | all_63_4 = e0
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (21947) gives:
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | (21948) all_63_4 = e1
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (21931), (21948) imply:
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | (21949) unit = e1
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (21939), (21949) imply:
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | (21950) $false
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (21950) is inconsistent.
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | (21951) all_63_4 = e0
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (21931), (21951) imply:
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | (21952) unit = e0
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (21935), (21952) imply:
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | (21953) ~ (all_61_12 = e0)
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (21933), (21952) imply:
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | (21954) ~ (all_61_13 = e0)
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (21937), (21952) imply:
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | (21955) ~ (all_4_1 = e0)
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (263) gives:
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21956) all_63_8 = e3
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (21490), (21956) imply:
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21957) all_4_1 = e3
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (21508), (21957) imply:
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21958) $false
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (21958) is inconsistent.
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21959) all_63_8 = e2 | all_63_8 = e1 | all_63_8 = e0
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (21959) gives:
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21960) all_63_8 = e2
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (21490), (21960) imply:
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21961) all_4_1 = e2
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (21505), (21961) imply:
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21962) ~ (all_61_12 = e2)
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (259) gives:
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21963) all_63_12 = e3
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (21901), (21963) imply:
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21964) all_61_12 = e3
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (180), (21964) imply:
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21965) ~ (all_61_13 = e3)
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (21965) implies:
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21966) ~ (all_61_13 = e3)
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (264), (498), (21781), (21873), (21954), (21966)
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #473.
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21967) all_63_12 = e2 | all_63_12 = e1 | all_63_12 = e0
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (21901), (21902), (21953), (21962), (21967) are
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #233.
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (21968) all_63_8 = e1 | all_63_8 = e0
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (21490), (21809), (21955), (21968) are
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #47.
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | | (21969) all_58_2 = e3
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (478), (21916), (21969) are inconsistent by
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #507.
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | (21970) all_58_2 = e3
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | (21971) all_58_0 = e1
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (484), (21971) imply:
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | (21972) all_52_0 = e1
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | SIMP: (21972) implies:
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | (21973) all_52_0 = e1
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (478), (21970) imply:
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | (21974) all_52_2 = e3
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (628), (21973) imply:
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | (21975) ~ (all_52_1 = e1)
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (630), (21973) imply:
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | (21976) ~ (all_52_3 = e1)
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | SIMP: (21976) implies:
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | (21977) ~ (all_52_3 = e1)
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (631), (21974) imply:
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | (21978) ~ (all_52_1 = e3)
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (633), (21974) imply:
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | (21979) ~ (all_52_3 = e3)
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (50), (148), (150), (158), (163), (225),
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | (231), (475), (481), (536), (539), (632), (663),
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | (731), (765), (21781), (21787), (21798), (21880),
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | (21904), (21914), (21977), (21978) are
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #284.
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | End of split
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | (21980) all_58_2 = e2
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (478), (21912), (21980) are inconsistent by
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | | sub-proof #433.
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | End of split
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | |
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | Case 2:
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | |
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | (21981) all_58_2 = e2
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | (21982) all_58_1 = e1
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | |
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (50), (229), (232), (478), (481), (659),
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | (731), (748), (21780), (21797), (21981), (21982)
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #50.
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | |
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | End of split
% 176.58/27.38 | | | | | | | | | | | | | | | | | | |
% 176.58/27.38 | | | | | | | | | | | | | | | | | | Case 2:
% 176.58/27.38 | | | | | | | | | | | | | | | | | | |
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | (21983) all_58_3 = e2
% 176.58/27.38 | | | | | | | | | | | | | | | | | | |
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (475), (21908), (21983) are inconsistent by
% 176.58/27.38 | | | | | | | | | | | | | | | | | | | sub-proof #459.
% 176.58/27.38 | | | | | | | | | | | | | | | | | | |
% 176.58/27.38 | | | | | | | | | | | | | | | | | | End of split
% 176.58/27.38 | | | | | | | | | | | | | | | | | |
% 176.58/27.38 | | | | | | | | | | | | | | | | | Case 2:
% 176.58/27.38 | | | | | | | | | | | | | | | | | |
% 176.58/27.38 | | | | | | | | | | | | | | | | | | (21984) all_58_3 = e2
% 176.58/27.38 | | | | | | | | | | | | | | | | | | (21985) all_58_1 = e0
% 176.58/27.38 | | | | | | | | | | | | | | | | | |
% 176.58/27.38 | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (50), (225), (231), (475), (481), (663),
% 176.58/27.38 | | | | | | | | | | | | | | | | | | (731), (765), (21781), (21798), (21984), (21985)
% 176.58/27.38 | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #456.
% 176.58/27.38 | | | | | | | | | | | | | | | | | |
% 176.58/27.38 | | | | | | | | | | | | | | | | | End of split
% 176.58/27.38 | | | | | | | | | | | | | | | | |
% 176.58/27.38 | | | | | | | | | | | | | | | | Case 2:
% 176.58/27.38 | | | | | | | | | | | | | | | | |
% 176.58/27.38 | | | | | | | | | | | | | | | | | (21986) all_58_3 = e3
% 176.58/27.38 | | | | | | | | | | | | | | | | |
% 176.58/27.38 | | | | | | | | | | | | | | | | | REF_CLOSE: (475), (21904), (21986) are inconsistent by
% 176.58/27.38 | | | | | | | | | | | | | | | | | sub-proof #509.
% 176.58/27.38 | | | | | | | | | | | | | | | | |
% 176.58/27.38 | | | | | | | | | | | | | | | | End of split
% 176.58/27.38 | | | | | | | | | | | | | | | |
% 176.58/27.38 | | | | | | | | | | | | | | | Case 2:
% 176.58/27.38 | | | | | | | | | | | | | | | |
% 176.58/27.38 | | | | | | | | | | | | | | | | (21987) all_58_3 = e3
% 176.58/27.38 | | | | | | | | | | | | | | | | (21988) all_58_0 = e0
% 176.58/27.38 | | | | | | | | | | | | | | | |
% 176.58/27.38 | | | | | | | | | | | | | | | | REF_CLOSE: (9), (50), (149), (161), (229), (232), (475),
% 176.58/27.38 | | | | | | | | | | | | | | | | (478), (481), (484), (538), (629), (633), (659),
% 176.58/27.38 | | | | | | | | | | | | | | | | (731), (748), (21466), (21765), (21780), (21797),
% 176.58/27.38 | | | | | | | | | | | | | | | | (21987), (21988) are inconsistent by sub-proof
% 176.58/27.38 | | | | | | | | | | | | | | | | #45.
% 176.58/27.38 | | | | | | | | | | | | | | | |
% 176.58/27.38 | | | | | | | | | | | | | | | End of split
% 176.58/27.38 | | | | | | | | | | | | | | |
% 176.58/27.38 | | | | | | | | | | | | | | End of split
% 176.58/27.38 | | | | | | | | | | | | | |
% 176.58/27.38 | | | | | | | | | | | | | End of split
% 176.58/27.38 | | | | | | | | | | | | |
% 176.58/27.38 | | | | | | | | | | | | Case 2:
% 176.58/27.38 | | | | | | | | | | | | |
% 176.58/27.38 | | | | | | | | | | | | | (21989) all_36_2 = e0
% 176.58/27.38 | | | | | | | | | | | | | (21990) op(e3, e0) = all_36_1 & $i(all_36_1) & ( ~
% 176.58/27.38 | | | | | | | | | | | | | (all_36_1 = e2) | ( ~ (all_36_0 = e1) & op(e2,
% 176.58/27.38 | | | | | | | | | | | | | e3) = all_36_0 & $i(all_36_0)))
% 176.58/27.38 | | | | | | | | | | | | |
% 176.58/27.38 | | | | | | | | | | | | | ALPHA: (21990) implies:
% 176.58/27.38 | | | | | | | | | | | | | (21991) op(e3, e0) = all_36_1
% 176.58/27.38 | | | | | | | | | | | | |
% 176.58/27.38 | | | | | | | | | | | | | COMBINE_EQS: (557), (21989) imply:
% 176.58/27.38 | | | | | | | | | | | | | (21992) all_14_2 = e0
% 176.58/27.38 | | | | | | | | | | | | |
% 176.58/27.38 | | | | | | | | | | | | | SIMP: (21992) implies:
% 176.58/27.38 | | | | | | | | | | | | | (21993) all_14_2 = e0
% 176.58/27.38 | | | | | | | | | | | | |
% 176.58/27.38 | | | | | | | | | | | | | COMBINE_EQS: (549), (21993) imply:
% 176.58/27.38 | | | | | | | | | | | | | (21994) all_44_2 = e0
% 176.58/27.38 | | | | | | | | | | | | |
% 176.58/27.38 | | | | | | | | | | | | | REDUCE: (599), (21993) imply:
% 176.58/27.38 | | | | | | | | | | | | | (21995) ~ (all_61_4 = e0)
% 176.58/27.38 | | | | | | | | | | | | |
% 176.58/27.38 | | | | | | | | | | | | | REDUCE: (21507), (21993) imply:
% 176.58/27.38 | | | | | | | | | | | | | (21996) ~ (all_4_1 = e0)
% 176.58/27.38 | | | | | | | | | | | | |
% 176.58/27.38 | | | | | | | | | | | | | SIMP: (21996) implies:
% 176.58/27.38 | | | | | | | | | | | | | (21997) ~ (all_4_1 = e0)
% 176.58/27.38 | | | | | | | | | | | | |
% 176.58/27.38 | | | | | | | | | | | | | REDUCE: (634), (21993) imply:
% 176.58/27.38 | | | | | | | | | | | | | (21998) op(e0, e3) = all_65_0
% 176.58/27.38 | | | | | | | | | | | | |
% 176.58/27.38 | | | | | | | | | | | | | REDUCE: (21538), (21993) imply:
% 176.58/27.38 | | | | | | | | | | | | | (21999) op(e0, e1) = all_65_32
% 176.58/27.38 | | | | | | | | | | | | |
% 176.58/27.38 | | | | | | | | | | | | | REDUCE: (637), (21993) imply:
% 176.58/27.38 | | | | | | | | | | | | | (22000) op(e0, e0) = all_65_3
% 176.58/27.38 | | | | | | | | | | | | |
% 176.58/27.38 | | | | | | | | | | | | | REDUCE: (21515), (21993) imply:
% 176.58/27.38 | | | | | | | | | | | | | (22001) op(all_4_1, e1) = e0
% 176.58/27.38 | | | | | | | | | | | | |
% 176.58/27.38 | | | | | | | | | | | | | REDUCE: (698), (21993) imply:
% 176.58/27.38 | | | | | | | | | | | | | (22002) op(e3, e0) = all_65_0
% 176.58/27.38 | | | | | | | | | | | | |
% 176.58/27.38 | | | | | | | | | | | | | REDUCE: (67), (21993) imply:
% 176.58/27.38 | | | | | | | | | | | | | (22003) op(e3, e3) = e0
% 176.58/27.38 | | | | | | | | | | | | |
% 176.58/27.38 | | | | | | | | | | | | | REDUCE: (715), (21993) imply:
% 176.58/27.38 | | | | | | | | | | | | | (22004) op(e2, e0) = all_65_16
% 176.58/27.38 | | | | | | | | | | | | |
% 176.58/27.38 | | | | | | | | | | | | | REDUCE: (732), (21993) imply:
% 176.58/27.38 | | | | | | | | | | | | | (22005) op(e1, e0) = all_65_32
% 176.58/27.38 | | | | | | | | | | | | |
% 176.58/27.38 | | | | | | | | | | | | | REDUCE: (749), (21993) imply:
% 176.58/27.38 | | | | | | | | | | | | | (22006) op(e0, e0) = all_65_49
% 176.58/27.38 | | | | | | | | | | | | |
% 176.58/27.38 | | | | | | | | | | | | | BETA: splitting (113) gives:
% 176.58/27.38 | | | | | | | | | | | | |
% 176.58/27.38 | | | | | | | | | | | | | Case 1:
% 176.58/27.38 | | | | | | | | | | | | | |
% 176.58/27.38 | | | | | | | | | | | | | | (22007) ~ (all_44_2 = e0)
% 176.58/27.38 | | | | | | | | | | | | | |
% 176.58/27.38 | | | | | | | | | | | | | | REDUCE: (21994), (22007) imply:
% 176.58/27.38 | | | | | | | | | | | | | | (22008) $false
% 176.58/27.38 | | | | | | | | | | | | | |
% 176.58/27.38 | | | | | | | | | | | | | | CLOSE: (22008) is inconsistent.
% 176.58/27.38 | | | | | | | | | | | | | |
% 176.58/27.38 | | | | | | | | | | | | | Case 2:
% 176.58/27.38 | | | | | | | | | | | | | |
% 176.58/27.38 | | | | | | | | | | | | | | (22009) op(e3, e0) = all_44_1 & $i(all_44_1) & ( ~
% 176.58/27.38 | | | | | | | | | | | | | | (all_44_1 = e1) | ( ~ (all_44_0 = e2) & op(e1,
% 176.58/27.38 | | | | | | | | | | | | | | e3) = all_44_0 & $i(all_44_0)))
% 176.58/27.38 | | | | | | | | | | | | | |
% 176.58/27.38 | | | | | | | | | | | | | | ALPHA: (22009) implies:
% 176.58/27.38 | | | | | | | | | | | | | | (22010) op(e3, e0) = all_44_1
% 176.58/27.38 | | | | | | | | | | | | | |
% 176.58/27.38 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_20_2, all_65_3, e0,
% 176.58/27.38 | | | | | | | | | | | | | | e0, simplifying with (76), (22000) gives:
% 176.58/27.38 | | | | | | | | | | | | | | (22011) all_65_3 = all_20_2
% 176.58/27.38 | | | | | | | | | | | | | |
% 176.58/27.38 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_49, all_65_3, e0,
% 176.58/27.38 | | | | | | | | | | | | | | e0, simplifying with (22000), (22006) gives:
% 176.58/27.38 | | | | | | | | | | | | | | (22012) all_65_3 = all_65_49
% 176.58/27.38 | | | | | | | | | | | | | |
% 176.58/27.38 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_11, all_65_32, e1,
% 176.58/27.38 | | | | | | | | | | | | | | e0, simplifying with (224), (21999) gives:
% 176.58/27.38 | | | | | | | | | | | | | | (22013) all_65_32 = all_61_11
% 176.58/27.38 | | | | | | | | | | | | | |
% 176.58/27.38 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_3, all_65_0, e3,
% 176.58/27.38 | | | | | | | | | | | | | | e0, simplifying with (226), (21998) gives:
% 176.58/27.38 | | | | | | | | | | | | | | (22014) all_65_0 = all_61_3
% 176.58/27.38 | | | | | | | | | | | | | |
% 176.58/27.38 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_14, all_65_32, e0,
% 176.58/27.38 | | | | | | | | | | | | | | e1, simplifying with (227), (22005) gives:
% 176.58/27.38 | | | | | | | | | | | | | | (22015) all_65_32 = all_61_14
% 176.58/27.38 | | | | | | | | | | | | | |
% 176.58/27.38 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_13, all_65_16, e0,
% 176.58/27.38 | | | | | | | | | | | | | | e2, simplifying with (231), (22004) gives:
% 176.58/27.38 | | | | | | | | | | | | | | (22016) all_65_16 = all_61_13
% 176.58/27.38 | | | | | | | | | | | | | |
% 176.58/27.38 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_12, all_44_1, e0,
% 176.58/27.38 | | | | | | | | | | | | | | e3, simplifying with (235), (22010) gives:
% 176.58/27.38 | | | | | | | | | | | | | | (22017) all_61_12 = all_44_1
% 176.58/27.38 | | | | | | | | | | | | | |
% 176.58/27.38 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_12, all_65_0, e0,
% 176.58/27.38 | | | | | | | | | | | | | | e3, simplifying with (235), (22002) gives:
% 176.58/27.38 | | | | | | | | | | | | | | (22018) all_65_0 = all_61_12
% 176.58/27.38 | | | | | | | | | | | | | |
% 176.58/27.38 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_36_1, all_65_0, e0,
% 176.58/27.38 | | | | | | | | | | | | | | e3, simplifying with (21991), (22002) gives:
% 176.58/27.38 | | | | | | | | | | | | | | (22019) all_65_0 = all_36_1
% 176.58/27.38 | | | | | | | | | | | | | |
% 176.58/27.38 | | | | | | | | | | | | | | COMBINE_EQS: (22018), (22019) imply:
% 176.58/27.38 | | | | | | | | | | | | | | (22020) all_61_12 = all_36_1
% 176.58/27.38 | | | | | | | | | | | | | |
% 176.58/27.38 | | | | | | | | | | | | | | SIMP: (22020) implies:
% 176.58/27.38 | | | | | | | | | | | | | | (22021) all_61_12 = all_36_1
% 176.58/27.38 | | | | | | | | | | | | | |
% 176.58/27.38 | | | | | | | | | | | | | | COMBINE_EQS: (22014), (22019) imply:
% 176.58/27.38 | | | | | | | | | | | | | | (22022) all_61_3 = all_36_1
% 176.58/27.38 | | | | | | | | | | | | | |
% 176.58/27.38 | | | | | | | | | | | | | | SIMP: (22022) implies:
% 176.58/27.38 | | | | | | | | | | | | | | (22023) all_61_3 = all_36_1
% 176.58/27.38 | | | | | | | | | | | | | |
% 176.58/27.38 | | | | | | | | | | | | | | COMBINE_EQS: (22011), (22012) imply:
% 176.58/27.38 | | | | | | | | | | | | | | (22024) all_65_49 = all_20_2
% 176.58/27.38 | | | | | | | | | | | | | |
% 176.58/27.38 | | | | | | | | | | | | | | COMBINE_EQS: (22013), (22015) imply:
% 176.58/27.38 | | | | | | | | | | | | | | (22025) all_61_11 = all_61_14
% 176.58/27.38 | | | | | | | | | | | | | |
% 176.58/27.38 | | | | | | | | | | | | | | SIMP: (22025) implies:
% 176.58/27.38 | | | | | | | | | | | | | | (22026) all_61_11 = all_61_14
% 176.58/27.38 | | | | | | | | | | | | | |
% 176.58/27.38 | | | | | | | | | | | | | | COMBINE_EQS: (22017), (22021) imply:
% 176.58/27.38 | | | | | | | | | | | | | | (22027) all_44_1 = all_36_1
% 176.58/27.38 | | | | | | | | | | | | | |
% 176.58/27.38 | | | | | | | | | | | | | | SIMP: (22027) implies:
% 176.58/27.38 | | | | | | | | | | | | | | (22028) all_44_1 = all_36_1
% 176.58/27.38 | | | | | | | | | | | | | |
% 176.58/27.38 | | | | | | | | | | | | | | COMBINE_EQS: (491), (22021) imply:
% 176.58/27.38 | | | | | | | | | | | | | | (22029) all_63_3 = all_36_1
% 176.58/27.38 | | | | | | | | | | | | | |
% 176.58/27.38 | | | | | | | | | | | | | | REDUCE: (207), (22023) imply:
% 176.58/27.39 | | | | | | | | | | | | | | (22030) ~ (all_61_7 = all_36_1)
% 176.58/27.39 | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | SIMP: (22030) implies:
% 176.58/27.39 | | | | | | | | | | | | | | (22031) ~ (all_61_7 = all_36_1)
% 176.58/27.39 | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | REDUCE: (200), (22021) imply:
% 176.58/27.39 | | | | | | | | | | | | | | (22032) ~ (all_61_4 = all_36_1)
% 176.58/27.39 | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | REDUCE: (625), (22021) imply:
% 176.58/27.39 | | | | | | | | | | | | | | (22033) ~ (all_36_1 = all_20_2)
% 176.58/27.39 | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | REDUCE: (21505), (22021) imply:
% 176.58/27.39 | | | | | | | | | | | | | | (22034) ~ (all_36_1 = all_4_1)
% 176.58/27.39 | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | REDUCE: (682), (22023), (22024) imply:
% 176.58/27.39 | | | | | | | | | | | | | | (22035) op(all_36_1, e3) = all_20_2
% 176.58/27.39 | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | REDUCE: (685), (22023) imply:
% 176.58/27.39 | | | | | | | | | | | | | | (22036) op(all_36_1, e0) = all_65_55
% 176.58/27.39 | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | REDUCE: (693), (22026) imply:
% 176.58/27.39 | | | | | | | | | | | | | | (22037) op(all_61_14, e0) = all_65_71
% 176.58/27.39 | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | REDUCE: (646), (22021) imply:
% 176.58/27.39 | | | | | | | | | | | | | | (22038) op(all_36_1, e3) = all_65_12
% 176.58/27.39 | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | REDUCE: (649), (22021) imply:
% 176.58/27.39 | | | | | | | | | | | | | | (22039) op(all_36_1, e0) = all_65_15
% 176.58/27.39 | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | REDUCE: (761), (22023) imply:
% 176.58/27.39 | | | | | | | | | | | | | | (22040) op(e0, all_36_1) = all_65_73
% 176.58/27.39 | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | REDUCE: (763), (22026) imply:
% 176.58/27.39 | | | | | | | | | | | | | | (22041) op(e0, all_61_14) = all_65_77
% 176.58/27.39 | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | REDUCE: (752), (22021) imply:
% 176.58/27.39 | | | | | | | | | | | | | | (22042) op(e0, all_36_1) = all_65_55
% 176.58/27.39 | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_73, all_65_55,
% 176.58/27.39 | | | | | | | | | | | | | | all_36_1, e0, simplifying with (22040), (22042)
% 176.58/27.39 | | | | | | | | | | | | | | gives:
% 176.58/27.39 | | | | | | | | | | | | | | (22043) all_65_55 = all_65_73
% 176.58/27.39 | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_71, all_65_77,
% 176.58/27.39 | | | | | | | | | | | | | | all_61_14, e0, simplifying with (760), (22041)
% 176.58/27.39 | | | | | | | | | | | | | | gives:
% 176.58/27.39 | | | | | | | | | | | | | | (22044) all_65_71 = all_65_77
% 176.58/27.39 | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_55, all_65_15, e0,
% 176.58/27.39 | | | | | | | | | | | | | | all_36_1, simplifying with (22036), (22039) gives:
% 176.58/27.39 | | | | | | | | | | | | | | (22045) all_65_15 = all_65_55
% 176.58/27.39 | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_20_2, all_65_12, e3,
% 176.58/27.39 | | | | | | | | | | | | | | all_36_1, simplifying with (22035), (22038) gives:
% 176.58/27.39 | | | | | | | | | | | | | | (22046) all_65_12 = all_20_2
% 176.58/27.39 | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_47, all_65_71, e0,
% 176.58/27.39 | | | | | | | | | | | | | | all_61_14, simplifying with (681), (22037) gives:
% 176.58/27.39 | | | | | | | | | | | | | | (22047) all_65_47 = all_65_71
% 176.58/27.39 | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | COMBINE_EQS: (22044), (22047) imply:
% 176.58/27.39 | | | | | | | | | | | | | | (22048) all_65_47 = all_65_77
% 176.58/27.39 | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | COMBINE_EQS: (22043), (22045) imply:
% 176.58/27.39 | | | | | | | | | | | | | | (22049) all_65_15 = all_65_73
% 176.58/27.39 | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | REDUCE: (22037), (22044) imply:
% 176.58/27.39 | | | | | | | | | | | | | | (22050) op(all_61_14, e0) = all_65_77
% 176.58/27.39 | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | REDUCE: (713), (22049) imply:
% 176.58/27.39 | | | | | | | | | | | | | | (22051) op(e3, all_20_2) = all_65_73
% 176.58/27.39 | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | REDUCE: (747), (22048) imply:
% 176.58/27.39 | | | | | | | | | | | | | | (22052) op(e1, all_20_2) = all_65_77
% 176.58/27.39 | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | BETA: splitting (110) gives:
% 176.58/27.39 | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | Case 1:
% 176.58/27.39 | | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | | (22053) ~ (all_42_2 = e1)
% 176.58/27.39 | | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | | REDUCE: (532), (22053) imply:
% 176.58/27.39 | | | | | | | | | | | | | | | (22054) ~ (all_20_2 = e1)
% 176.58/27.39 | | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | | BETA: splitting (256) gives:
% 176.58/27.39 | | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | | Case 1:
% 176.58/27.39 | | | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | | | (22055) all_63_15 = e3
% 176.58/27.39 | | | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | | | REF_CLOSE: (422), (21800), (22055) are inconsistent by
% 176.58/27.39 | | | | | | | | | | | | | | | | sub-proof #501.
% 176.58/27.39 | | | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | | Case 2:
% 176.58/27.39 | | | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | | | (22056) all_63_15 = e2 | all_63_15 = e1 | all_63_15 = e0
% 176.58/27.39 | | | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | | | BETA: splitting (22056) gives:
% 176.58/27.39 | | | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | | | Case 1:
% 176.58/27.39 | | | | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | | | | (22057) all_63_15 = e2
% 176.58/27.39 | | | | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | | | | REF_CLOSE: (422), (21770), (22057) are inconsistent by
% 176.58/27.39 | | | | | | | | | | | | | | | | | sub-proof #500.
% 176.58/27.39 | | | | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | | | Case 2:
% 176.58/27.39 | | | | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | | | | (22058) all_63_15 = e1 | all_63_15 = e0
% 176.58/27.39 | | | | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | | | | BETA: splitting (22058) gives:
% 176.58/27.39 | | | | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | | | | Case 1:
% 176.58/27.39 | | | | | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | | | | | (22059) all_63_15 = e1
% 176.58/27.39 | | | | | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | | | | | REF_CLOSE: (422), (22054), (22059) are inconsistent by
% 176.58/27.39 | | | | | | | | | | | | | | | | | | sub-proof #499.
% 176.58/27.39 | | | | | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | | | | Case 2:
% 176.58/27.39 | | | | | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | | | | | (22060) all_63_15 = e0
% 176.58/27.39 | | | | | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (422), (22060) imply:
% 176.58/27.39 | | | | | | | | | | | | | | | | | | (22061) all_20_2 = e0
% 176.58/27.39 | | | | | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | | | | | SIMP: (22061) implies:
% 176.58/27.39 | | | | | | | | | | | | | | | | | | (22062) all_20_2 = e0
% 176.58/27.39 | | | | | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | | | | | REDUCE: (617), (22062) imply:
% 176.58/27.39 | | | | | | | | | | | | | | | | | | (22063) ~ (all_61_7 = e0)
% 176.58/27.39 | | | | | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | | | | | REDUCE: (22033), (22062) imply:
% 176.58/27.39 | | | | | | | | | | | | | | | | | | (22064) ~ (all_36_1 = e0)
% 176.58/27.39 | | | | | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | | | | | REDUCE: (22054), (22062) imply:
% 176.58/27.39 | | | | | | | | | | | | | | | | | | (22065) ~ (e1 = e0)
% 176.58/27.39 | | | | | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | | | | | REDUCE: (22035), (22062) imply:
% 176.58/27.39 | | | | | | | | | | | | | | | | | | (22066) op(all_36_1, e3) = e0
% 176.58/27.39 | | | | | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | | | | | REDUCE: (22051), (22062) imply:
% 176.58/27.39 | | | | | | | | | | | | | | | | | | (22067) op(e3, e0) = all_65_73
% 176.58/27.39 | | | | | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | | | | | REDUCE: (730), (22062) imply:
% 176.58/27.39 | | | | | | | | | | | | | | | | | | (22068) op(e2, e0) = all_65_31
% 176.58/27.39 | | | | | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_13, all_65_31, e0,
% 176.58/27.39 | | | | | | | | | | | | | | | | | | e2, simplifying with (231), (22068) gives:
% 176.58/27.39 | | | | | | | | | | | | | | | | | | (22069) all_65_31 = all_61_13
% 176.58/27.39 | | | | | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_36_1, all_65_73, e0,
% 176.58/27.39 | | | | | | | | | | | | | | | | | | e3, simplifying with (21991), (22067) gives:
% 176.58/27.39 | | | | | | | | | | | | | | | | | | (22070) all_65_73 = all_36_1
% 176.58/27.39 | | | | | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | | | | | BETA: splitting (162) gives:
% 176.58/27.39 | | | | | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | | | | | Case 1:
% 176.58/27.39 | | | | | | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | (22071) ~ (all_58_2 = e3)
% 176.58/27.39 | | | | | | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | REDUCE: (478), (22071) imply:
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | (22072) ~ (all_52_2 = e3)
% 176.58/27.39 | | | | | | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | BETA: splitting (167) gives:
% 176.58/27.39 | | | | | | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | Case 1:
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | (22073) ~ (all_58_0 = e1)
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | REDUCE: (484), (22073) imply:
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | (22074) ~ (all_52_0 = e1)
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | BETA: splitting (165) gives:
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | | (22075) ~ (all_58_1 = e3)
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | | REDUCE: (481), (22075) imply:
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | | (22076) ~ (all_52_1 = e3)
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (168) gives:
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | | | (22077) ~ (all_58_0 = e2)
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (484), (22077) imply:
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | | | (22078) ~ (all_52_0 = e2)
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (10), (50), (151), (159), (166), (231),
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | | | (475), (484), (534), (630), (714), (21781),
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | | | (21991), (22003), (22066), (22074), (22078) are
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #465.
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | | | (22079) all_58_1 = e3
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (481), (22076), (22079) are inconsistent by
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | | | sub-proof #511.
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | | End of split
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | | (22080) all_58_0 = e2
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (484), (22080) imply:
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | | (22081) all_52_0 = e2
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | | SIMP: (22081) implies:
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | | (22082) all_52_0 = e2
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | | REDUCE: (714), (22082) imply:
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | | (22083) op(e3, e2) = unit
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_4, unit, e2, e3,
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | | simplifying with (237), (22083) gives:
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | | (22084) all_61_4 = unit
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (488), (22084) imply:
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | | (22085) all_63_1 = unit
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | | REDUCE: (202), (22084) imply:
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | | (22086) ~ (all_61_7 = unit)
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | | SIMP: (22086) implies:
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | | (22087) ~ (all_61_7 = unit)
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | | REDUCE: (22032), (22084) imply:
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | | (22088) ~ (all_36_1 = unit)
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | | SIMP: (22088) implies:
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | | (22089) ~ (all_36_1 = unit)
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | | REDUCE: (21499), (22084) imply:
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | | (22090) ~ (all_4_1 = unit)
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | | SIMP: (22090) implies:
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | | (22091) ~ (all_4_1 = unit)
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | | REDUCE: (21778), (22084) imply:
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | | (22092) ~ (unit = e2)
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | | REDUCE: (21995), (22084) imply:
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | | (22093) ~ (unit = e0)
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (270) gives:
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | | | (22094) all_63_1 = e3
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (22085), (22094) imply:
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | | | (22095) unit = e3
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (21765), (22095) imply:
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | | | (22096) $false
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (22096) is inconsistent.
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | | | (22097) all_63_1 = e2 | all_63_1 = e1 | all_63_1 = e0
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (22097) gives:
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | | | | (22098) all_63_1 = e2
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (22085), (22098) imply:
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | | | | (22099) unit = e2
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (22092), (22099) imply:
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | | | | (22100) $false
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (22100) is inconsistent.
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | | | | (22101) all_63_1 = e1 | all_63_1 = e0
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (22101) gives:
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | | | | | (22102) all_63_1 = e1
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (22085), (22102) imply:
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | | | | | (22103) unit = e1
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (22087), (22103) imply:
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | | | | | (22104) ~ (all_61_7 = e1)
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (22089), (22103) imply:
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | | | | | (22105) ~ (all_36_1 = e1)
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (22091), (22103) imply:
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | | | | | (22106) ~ (all_4_1 = e1)
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (263) gives:
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | (22107) all_63_8 = e3
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (21490), (21508), (22107) are inconsistent by
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #44.
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | (22108) ~ (all_63_8 = e3)
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | (22109) all_63_8 = e2 | all_63_8 = e1 | all_63_8 = e0
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (269) gives:
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | (22110) all_63_2 = e3
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (21491), (22110) imply:
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | (22111) all_4_1 = e3
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (21508), (22111) imply:
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | (22112) $false
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (22112) is inconsistent.
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | (22113) all_63_2 = e2 | all_63_2 = e1 | all_63_2 = e0
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (22113) gives:
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | (22114) all_63_2 = e2
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (21491), (22114) imply:
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | (22115) all_4_1 = e2
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (22034), (22115) imply:
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | (22116) ~ (all_36_1 = e2)
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (258) gives:
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (22117) all_63_13 = e3
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (508), (22117) imply:
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (22118) all_61_7 = e3
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (22031), (22118) imply:
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (22119) ~ (all_36_1 = e3)
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (22119) implies:
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (22120) ~ (all_36_1 = e3)
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (268), (22029), (22064), (22105), (22116), (22120)
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #446.
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (22121) all_63_13 = e2 | all_63_13 = e1 | all_63_13 = e0
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (508), (21779), (22063), (22104), (22121) are
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #444.
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | (22122) ~ (all_63_2 = e2)
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (21491), (22122) imply:
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | (22123) ~ (all_4_1 = e2)
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (21490), (21997), (22106), (22109), (22123) are
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #42.
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | | | | | (22124) all_63_1 = e0
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (22085), (22124) imply:
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | | | | | (22125) unit = e0
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (22093), (22125) imply:
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | | | | | (22126) $false
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (22126) is inconsistent.
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | | End of split
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | End of split
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | Case 2:
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | (22127) all_58_2 = e3
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (478), (22072), (22127) are inconsistent by
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | | sub-proof #507.
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | End of split
% 176.58/27.39 | | | | | | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | | | | | Case 2:
% 176.58/27.39 | | | | | | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | (22128) all_58_0 = e1
% 176.58/27.39 | | | | | | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (18), (50), (484), (714), (21521), (22001),
% 176.58/27.39 | | | | | | | | | | | | | | | | | | | (22128) are inconsistent by sub-proof #40.
% 176.58/27.39 | | | | | | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | | | | | End of split
% 176.58/27.39 | | | | | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | | | | End of split
% 176.58/27.39 | | | | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | | | End of split
% 176.58/27.39 | | | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | | End of split
% 176.58/27.39 | | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | Case 2:
% 176.58/27.39 | | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | | (22129) all_42_2 = e1
% 176.58/27.39 | | | | | | | | | | | | | | | (22130) op(e0, e1) = all_42_1 & $i(all_42_1) & ( ~
% 176.58/27.39 | | | | | | | | | | | | | | | (all_42_1 = e3) | ( ~ (all_42_0 = e2) & op(e3,
% 176.58/27.39 | | | | | | | | | | | | | | | e0) = all_42_0 & $i(all_42_0)))
% 176.58/27.39 | | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | | ALPHA: (22130) implies:
% 176.58/27.39 | | | | | | | | | | | | | | | (22131) op(e0, e1) = all_42_1
% 176.58/27.39 | | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | | COMBINE_EQS: (532), (22129) imply:
% 176.58/27.39 | | | | | | | | | | | | | | | (22132) all_20_2 = e1
% 176.58/27.39 | | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | | SIMP: (22132) implies:
% 176.58/27.39 | | | | | | | | | | | | | | | (22133) all_20_2 = e1
% 176.58/27.39 | | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | | REDUCE: (695), (22133) imply:
% 176.58/27.39 | | | | | | | | | | | | | | | (22134) op(e1, e2) = all_65_75
% 176.58/27.39 | | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | | REDUCE: (697), (22133) imply:
% 176.58/27.39 | | | | | | | | | | | | | | | (22135) op(e1, e0) = all_65_78
% 176.58/27.39 | | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | | REDUCE: (22051), (22133) imply:
% 176.58/27.39 | | | | | | | | | | | | | | | (22136) op(e3, e1) = all_65_73
% 176.58/27.39 | | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | | REDUCE: (730), (22133) imply:
% 176.58/27.39 | | | | | | | | | | | | | | | (22137) op(e2, e1) = all_65_31
% 176.58/27.39 | | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | | REDUCE: (22052), (22133) imply:
% 176.58/27.39 | | | | | | | | | | | | | | | (22138) op(e1, e1) = all_65_77
% 176.58/27.39 | | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | | REDUCE: (764), (22133) imply:
% 176.58/27.39 | | | | | | | | | | | | | | | (22139) op(e0, e1) = all_65_78
% 176.58/27.39 | | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_42_1, all_65_78, e1,
% 176.58/27.39 | | | | | | | | | | | | | | | e0, simplifying with (22131), (22139) gives:
% 176.58/27.39 | | | | | | | | | | | | | | | (22140) all_65_78 = all_42_1
% 176.58/27.39 | | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_14, all_65_78, e0,
% 176.58/27.39 | | | | | | | | | | | | | | | e1, simplifying with (227), (22135) gives:
% 176.58/27.39 | | | | | | | | | | | | | | | (22141) all_65_78 = all_61_14
% 176.58/27.39 | | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e3, all_65_77, e1, e1,
% 176.58/27.39 | | | | | | | | | | | | | | | simplifying with (21466), (22138) gives:
% 176.58/27.39 | | | | | | | | | | | | | | | (22142) all_65_77 = e3
% 176.58/27.39 | | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_6, all_65_75, e2,
% 176.58/27.39 | | | | | | | | | | | | | | | e1, simplifying with (229), (22134) gives:
% 176.58/27.39 | | | | | | | | | | | | | | | (22143) all_65_75 = all_61_6
% 176.58/27.39 | | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_9, all_65_31, e1,
% 176.58/27.39 | | | | | | | | | | | | | | | e2, simplifying with (232), (22137) gives:
% 176.58/27.39 | | | | | | | | | | | | | | | (22144) all_65_31 = all_61_9
% 176.58/27.39 | | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_4_1, all_65_73, e1,
% 176.58/27.39 | | | | | | | | | | | | | | | e3, simplifying with (21521), (22136) gives:
% 176.58/27.39 | | | | | | | | | | | | | | | (22145) all_65_73 = all_4_1
% 176.58/27.39 | | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | | COMBINE_EQS: (22140), (22141) imply:
% 176.58/27.39 | | | | | | | | | | | | | | | (22146) all_61_14 = all_42_1
% 176.58/27.39 | | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | | REDUCE: (22050), (22142), (22146) imply:
% 176.58/27.39 | | | | | | | | | | | | | | | (22147) op(all_42_1, e0) = e3
% 176.58/27.39 | | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | | REDUCE: (227), (22146) imply:
% 176.58/27.39 | | | | | | | | | | | | | | | (22148) op(e1, e0) = all_42_1
% 176.58/27.39 | | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | | BETA: splitting (157) gives:
% 176.58/27.39 | | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | | Case 1:
% 176.58/27.39 | | | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | | | (22149) ~ (all_58_3 = e1)
% 176.58/27.39 | | | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | | | REDUCE: (475), (22149) imply:
% 176.58/27.39 | | | | | | | | | | | | | | | | (22150) ~ (all_52_3 = e1)
% 176.58/27.39 | | | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | | | BETA: splitting (160) gives:
% 176.58/27.39 | | | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | | | Case 1:
% 176.58/27.39 | | | | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | | | | (22151) ~ (all_58_2 = e0)
% 176.58/27.39 | | | | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | | | | REDUCE: (478), (22151) imply:
% 176.58/27.39 | | | | | | | | | | | | | | | | | (22152) ~ (all_52_2 = e0)
% 176.58/27.39 | | | | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | | | | BETA: splitting (161) gives:
% 176.58/27.39 | | | | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | | | | Case 1:
% 176.58/27.39 | | | | | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | | | | | (22153) ~ (all_58_2 = e2)
% 176.58/27.39 | | | | | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | | | | | REDUCE: (478), (22153) imply:
% 176.58/27.39 | | | | | | | | | | | | | | | | | | (22154) ~ (all_52_2 = e2)
% 176.58/27.39 | | | | | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (18), (50), (149), (162), (478), (484),
% 176.58/27.39 | | | | | | | | | | | | | | | | | | (538), (714), (748), (21466), (21521), (21765),
% 176.58/27.39 | | | | | | | | | | | | | | | | | | (22001), (22152), (22154) are inconsistent by
% 176.58/27.39 | | | | | | | | | | | | | | | | | | sub-proof #39.
% 176.58/27.39 | | | | | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | | | | Case 2:
% 176.58/27.39 | | | | | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | | | | | (22155) all_58_2 = e2
% 176.58/27.39 | | | | | | | | | | | | | | | | | | (22156) all_58_1 = e1
% 176.58/27.39 | | | | | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (481), (22156) imply:
% 176.58/27.39 | | | | | | | | | | | | | | | | | | (22157) all_52_1 = e1
% 176.58/27.39 | | | | | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | | | | | SIMP: (22157) implies:
% 176.58/27.39 | | | | | | | | | | | | | | | | | | (22158) all_52_1 = e1
% 176.58/27.39 | | | | | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (478), (22155) imply:
% 176.58/27.39 | | | | | | | | | | | | | | | | | | (22159) all_52_2 = e2
% 176.58/27.39 | | | | | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (50), (229), (232), (659), (731), (748),
% 176.58/27.39 | | | | | | | | | | | | | | | | | | (21780), (21797), (22158), (22159) are
% 176.58/27.39 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #51.
% 176.58/27.39 | | | | | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | | | | End of split
% 176.58/27.39 | | | | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | | | Case 2:
% 176.58/27.39 | | | | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | | | | (22160) all_58_3 = e1
% 176.58/27.39 | | | | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | | | | REF_CLOSE: (475), (22150), (22160) are inconsistent by
% 176.58/27.39 | | | | | | | | | | | | | | | | | sub-proof #460.
% 176.58/27.39 | | | | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | | | End of split
% 176.58/27.39 | | | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | | Case 2:
% 176.58/27.39 | | | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | | | (22161) all_58_2 = e0
% 176.58/27.39 | | | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | | | REF_CLOSE: (7), (21), (50), (478), (748), (22147), (22148),
% 176.58/27.39 | | | | | | | | | | | | | | | | (22161) are inconsistent by sub-proof #37.
% 176.58/27.39 | | | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | | End of split
% 176.58/27.39 | | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | End of split
% 176.58/27.39 | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | End of split
% 176.58/27.39 | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | End of split
% 176.58/27.39 | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | Case 2:
% 176.58/27.39 | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | (22162) all_28_2 = e3
% 176.58/27.39 | | | | | | | | | | | | (22163) op(e0, e3) = all_28_1 & $i(all_28_1) & ( ~
% 176.58/27.39 | | | | | | | | | | | | (all_28_1 = e2) | ( ~ (all_28_0 = e1) & op(e2,
% 176.58/27.39 | | | | | | | | | | | | e0) = all_28_0 & $i(all_28_0)))
% 176.58/27.39 | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | ALPHA: (22163) implies:
% 176.58/27.39 | | | | | | | | | | | | (22164) op(e0, e3) = all_28_1
% 176.58/27.39 | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | COMBINE_EQS: (563), (22162) imply:
% 176.58/27.39 | | | | | | | | | | | | (22165) all_20_2 = e3
% 176.58/27.39 | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | SIMP: (22165) implies:
% 176.58/27.39 | | | | | | | | | | | | (22166) all_20_2 = e3
% 176.58/27.39 | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | REDUCE: (694), (22166) imply:
% 176.58/27.39 | | | | | | | | | | | | (22167) op(e3, e3) = all_65_73
% 176.58/27.39 | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | REDUCE: (695), (22166) imply:
% 176.58/27.39 | | | | | | | | | | | | (22168) op(e3, e2) = all_65_75
% 176.58/27.39 | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | REDUCE: (697), (22166) imply:
% 176.58/27.39 | | | | | | | | | | | | (22169) op(e3, e0) = all_65_78
% 176.58/27.39 | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | REDUCE: (713), (22166) imply:
% 176.58/27.39 | | | | | | | | | | | | (22170) op(e3, e3) = all_65_15
% 176.58/27.39 | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | REDUCE: (730), (22166) imply:
% 176.58/27.39 | | | | | | | | | | | | (22171) op(e2, e3) = all_65_31
% 176.58/27.39 | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | REDUCE: (747), (22166) imply:
% 176.58/27.39 | | | | | | | | | | | | (22172) op(e1, e3) = all_65_47
% 176.58/27.39 | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | REDUCE: (764), (22166) imply:
% 176.58/27.39 | | | | | | | | | | | | (22173) op(e0, e3) = all_65_78
% 176.58/27.39 | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | REDUCE: (76), (22166) imply:
% 176.58/27.39 | | | | | | | | | | | | (22174) op(e0, e0) = e3
% 176.58/27.39 | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_3, all_65_78, e3,
% 176.58/27.39 | | | | | | | | | | | | e0, simplifying with (226), (22173) gives:
% 176.58/27.39 | | | | | | | | | | | | (22175) all_65_78 = all_61_3
% 176.58/27.39 | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_28_1, all_65_78, e3,
% 176.58/27.39 | | | | | | | | | | | | e0, simplifying with (22164), (22173) gives:
% 176.58/27.39 | | | | | | | | | | | | (22176) all_65_78 = all_28_1
% 176.58/27.39 | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_4_1, all_65_47, e3,
% 176.58/27.39 | | | | | | | | | | | | e1, simplifying with (21451), (22172) gives:
% 176.58/27.39 | | | | | | | | | | | | (22177) all_65_47 = all_4_1
% 176.58/27.39 | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_1, all_65_31, e3,
% 176.58/27.39 | | | | | | | | | | | | e2, simplifying with (234), (22171) gives:
% 176.58/27.39 | | | | | | | | | | | | (22178) all_65_31 = all_61_1
% 176.58/27.39 | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_12, all_65_78, e0,
% 176.58/27.39 | | | | | | | | | | | | e3, simplifying with (235), (22169) gives:
% 176.58/27.39 | | | | | | | | | | | | (22179) all_65_78 = all_61_12
% 176.58/27.39 | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_4, all_65_75, e2,
% 176.58/27.39 | | | | | | | | | | | | e3, simplifying with (237), (22168) gives:
% 176.58/27.39 | | | | | | | | | | | | (22180) all_65_75 = all_61_4
% 176.58/27.39 | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_14_2, all_65_15, e3,
% 176.58/27.39 | | | | | | | | | | | | e3, simplifying with (67), (22170) gives:
% 176.58/27.39 | | | | | | | | | | | | (22181) all_65_15 = all_14_2
% 176.58/27.39 | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_73, all_65_15, e3,
% 176.58/27.39 | | | | | | | | | | | | e3, simplifying with (22167), (22170) gives:
% 176.58/27.39 | | | | | | | | | | | | (22182) all_65_15 = all_65_73
% 176.58/27.39 | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | COMBINE_EQS: (22181), (22182) imply:
% 176.58/27.39 | | | | | | | | | | | | (22183) all_65_73 = all_14_2
% 176.58/27.39 | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | COMBINE_EQS: (22176), (22179) imply:
% 176.58/27.39 | | | | | | | | | | | | (22184) all_61_12 = all_28_1
% 176.58/27.39 | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | SIMP: (22184) implies:
% 176.58/27.39 | | | | | | | | | | | | (22185) all_61_12 = all_28_1
% 176.58/27.39 | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | COMBINE_EQS: (22175), (22176) imply:
% 176.58/27.39 | | | | | | | | | | | | (22186) all_61_3 = all_28_1
% 176.58/27.39 | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | SIMP: (22186) implies:
% 176.58/27.39 | | | | | | | | | | | | (22187) all_61_3 = all_28_1
% 176.58/27.39 | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | REDUCE: (603), (22185) imply:
% 176.58/27.39 | | | | | | | | | | | | (22188) ~ (all_28_1 = all_14_2)
% 176.58/27.39 | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | REDUCE: (682), (22187) imply:
% 176.58/27.39 | | | | | | | | | | | | (22189) op(all_28_1, e3) = all_65_49
% 176.58/27.39 | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | REDUCE: (21518), (22187) imply:
% 176.58/27.39 | | | | | | | | | | | | (22190) op(all_61_11, e1) = all_28_1
% 176.58/27.39 | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | REDUCE: (646), (22185) imply:
% 176.58/27.39 | | | | | | | | | | | | (22191) op(all_28_1, e3) = all_65_12
% 176.58/27.39 | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | REDUCE: (681), (22177) imply:
% 176.58/27.39 | | | | | | | | | | | | (22192) op(all_61_14, e0) = all_4_1
% 176.58/27.39 | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | REDUCE: (710), (22187) imply:
% 176.58/27.39 | | | | | | | | | | | | (22193) op(e3, all_28_1) = all_65_12
% 176.58/27.39 | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | REDUCE: (701), (22185) imply:
% 176.58/27.39 | | | | | | | | | | | | (22194) op(e3, all_28_1) = all_65_3
% 176.58/27.39 | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_12, all_65_3,
% 176.58/27.39 | | | | | | | | | | | | all_28_1, e3, simplifying with (22193), (22194)
% 176.58/27.39 | | | | | | | | | | | | gives:
% 176.58/27.39 | | | | | | | | | | | | (22195) all_65_3 = all_65_12
% 176.58/27.39 | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_49, all_65_12, e3,
% 176.58/27.39 | | | | | | | | | | | | all_28_1, simplifying with (22189), (22191) gives:
% 176.58/27.39 | | | | | | | | | | | | (22196) all_65_12 = all_65_49
% 176.58/27.39 | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | COMBINE_EQS: (22195), (22196) imply:
% 176.58/27.39 | | | | | | | | | | | | (22197) all_65_3 = all_65_49
% 176.58/27.39 | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | REDUCE: (637), (22197) imply:
% 176.58/27.39 | | | | | | | | | | | | (22198) op(all_14_2, e0) = all_65_49
% 176.58/27.39 | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | BETA: splitting (101) gives:
% 176.58/27.39 | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | Case 1:
% 176.58/27.39 | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | (22199) ~ (all_36_2 = e0)
% 176.58/27.39 | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | REDUCE: (557), (22199) imply:
% 176.58/27.39 | | | | | | | | | | | | | (22200) ~ (all_14_2 = e0)
% 176.58/27.39 | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | BETA: splitting (107) gives:
% 176.58/27.39 | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | Case 1:
% 176.58/27.39 | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | (22201) ~ (all_40_2 = e1)
% 176.58/27.39 | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | REDUCE: (553), (22201) imply:
% 176.58/27.39 | | | | | | | | | | | | | | (22202) ~ (all_14_2 = e1)
% 176.58/27.39 | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | REF_CLOSE: (10), (50), (67), (151), (159), (162), (165),
% 176.58/27.39 | | | | | | | | | | | | | | (166), (167), (168), (226), (230), (234), (235),
% 176.58/27.39 | | | | | | | | | | | | | | (236), (237), (271), (475), (478), (481), (484),
% 176.58/27.39 | | | | | | | | | | | | | | (534), (588), (599), (601), (603), (635), (636),
% 176.58/27.39 | | | | | | | | | | | | | | (637), (638), (642), (646), (650), (666), (682),
% 176.58/27.39 | | | | | | | | | | | | | | (698), (714), (715), (731), (732), (748), (749),
% 176.58/27.39 | | | | | | | | | | | | | | (765), (21765), (21769), (22200), (22202) are
% 176.58/27.39 | | | | | | | | | | | | | | inconsistent by sub-proof #502.
% 176.58/27.39 | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | Case 2:
% 176.58/27.39 | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | (22203) all_40_2 = e1
% 176.58/27.39 | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | COMBINE_EQS: (553), (22203) imply:
% 176.58/27.39 | | | | | | | | | | | | | | (22204) all_14_2 = e1
% 176.58/27.39 | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | SIMP: (22204) implies:
% 176.58/27.39 | | | | | | | | | | | | | | (22205) all_14_2 = e1
% 176.58/27.39 | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | REDUCE: (22188), (22205) imply:
% 176.58/27.39 | | | | | | | | | | | | | | (22206) ~ (all_28_1 = e1)
% 176.58/27.39 | | | | | | | | | | | | | |
% 176.58/27.39 | | | | | | | | | | | | | | REDUCE: (635), (22205) imply:
% 176.58/27.39 | | | | | | | | | | | | | | (22207) op(e1, e2) = all_65_1
% 176.58/27.40 | | | | | | | | | | | | | |
% 176.58/27.40 | | | | | | | | | | | | | | REDUCE: (22198), (22205) imply:
% 176.58/27.40 | | | | | | | | | | | | | | (22208) op(e1, e0) = all_65_49
% 176.58/27.40 | | | | | | | | | | | | | |
% 176.58/27.40 | | | | | | | | | | | | | | REDUCE: (715), (22205) imply:
% 176.58/27.40 | | | | | | | | | | | | | | (22209) op(e2, e1) = all_65_16
% 176.58/27.40 | | | | | | | | | | | | | |
% 176.58/27.40 | | | | | | | | | | | | | | REDUCE: (732), (22205) imply:
% 176.58/27.40 | | | | | | | | | | | | | | (22210) op(e1, e1) = all_65_32
% 176.58/27.40 | | | | | | | | | | | | | |
% 176.58/27.40 | | | | | | | | | | | | | | REDUCE: (749), (22205) imply:
% 176.58/27.40 | | | | | | | | | | | | | | (22211) op(e0, e1) = all_65_49
% 176.58/27.40 | | | | | | | | | | | | | |
% 176.58/27.40 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_11, all_65_49, e1,
% 176.58/27.40 | | | | | | | | | | | | | | e0, simplifying with (224), (22211) gives:
% 176.58/27.40 | | | | | | | | | | | | | | (22212) all_65_49 = all_61_11
% 176.58/27.40 | | | | | | | | | | | | | |
% 176.58/27.40 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_14, all_65_49, e0,
% 176.58/27.40 | | | | | | | | | | | | | | e1, simplifying with (227), (22208) gives:
% 176.58/27.40 | | | | | | | | | | | | | | (22213) all_65_49 = all_61_14
% 176.58/27.40 | | | | | | | | | | | | | |
% 176.58/27.40 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e3, all_65_32, e1, e1,
% 176.58/27.40 | | | | | | | | | | | | | | simplifying with (21466), (22210) gives:
% 176.58/27.40 | | | | | | | | | | | | | | (22214) all_65_32 = e3
% 176.58/27.40 | | | | | | | | | | | | | |
% 176.58/27.40 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_6, all_65_1, e2,
% 176.58/27.40 | | | | | | | | | | | | | | e1, simplifying with (229), (22207) gives:
% 176.58/27.40 | | | | | | | | | | | | | | (22215) all_65_1 = all_61_6
% 176.58/27.40 | | | | | | | | | | | | | |
% 176.58/27.40 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_9, all_65_16, e1,
% 176.58/27.40 | | | | | | | | | | | | | | e2, simplifying with (232), (22209) gives:
% 176.58/27.40 | | | | | | | | | | | | | | (22216) all_65_16 = all_61_9
% 176.58/27.40 | | | | | | | | | | | | | |
% 176.58/27.40 | | | | | | | | | | | | | | COMBINE_EQS: (22212), (22213) imply:
% 176.58/27.40 | | | | | | | | | | | | | | (22217) all_61_11 = all_61_14
% 176.58/27.40 | | | | | | | | | | | | | |
% 176.58/27.40 | | | | | | | | | | | | | | SIMP: (22217) implies:
% 176.58/27.40 | | | | | | | | | | | | | | (22218) all_61_11 = all_61_14
% 176.58/27.40 | | | | | | | | | | | | | |
% 176.58/27.40 | | | | | | | | | | | | | | REDUCE: (22190), (22218) imply:
% 176.58/27.40 | | | | | | | | | | | | | | (22219) op(all_61_14, e1) = all_28_1
% 176.58/27.40 | | | | | | | | | | | | | |
% 176.58/27.40 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_46, all_28_1, e1,
% 176.58/27.40 | | | | | | | | | | | | | | all_61_14, simplifying with (680), (22219) gives:
% 176.58/27.40 | | | | | | | | | | | | | | (22220) all_65_46 = all_28_1
% 176.58/27.40 | | | | | | | | | | | | | |
% 176.58/27.40 | | | | | | | | | | | | | | BETA: splitting (157) gives:
% 176.58/27.40 | | | | | | | | | | | | | |
% 176.58/27.40 | | | | | | | | | | | | | | Case 1:
% 176.58/27.40 | | | | | | | | | | | | | | |
% 176.58/27.40 | | | | | | | | | | | | | | | (22221) ~ (all_58_3 = e1)
% 176.58/27.40 | | | | | | | | | | | | | | |
% 176.58/27.40 | | | | | | | | | | | | | | | REDUCE: (475), (22221) imply:
% 176.58/27.40 | | | | | | | | | | | | | | | (22222) ~ (all_52_3 = e1)
% 176.58/27.40 | | | | | | | | | | | | | | |
% 176.58/27.40 | | | | | | | | | | | | | | | BETA: splitting (160) gives:
% 176.58/27.40 | | | | | | | | | | | | | | |
% 176.58/27.40 | | | | | | | | | | | | | | | Case 1:
% 176.58/27.40 | | | | | | | | | | | | | | | |
% 176.58/27.40 | | | | | | | | | | | | | | | | (22223) ~ (all_58_2 = e0)
% 176.58/27.40 | | | | | | | | | | | | | | | |
% 176.58/27.40 | | | | | | | | | | | | | | | | REDUCE: (478), (22223) imply:
% 176.58/27.40 | | | | | | | | | | | | | | | | (22224) ~ (all_52_2 = e0)
% 176.58/27.40 | | | | | | | | | | | | | | | |
% 176.58/27.40 | | | | | | | | | | | | | | | | BETA: splitting (158) gives:
% 176.58/27.40 | | | | | | | | | | | | | | | |
% 176.58/27.40 | | | | | | | | | | | | | | | | Case 1:
% 176.58/27.40 | | | | | | | | | | | | | | | | |
% 176.58/27.40 | | | | | | | | | | | | | | | | | (22225) ~ (all_58_3 = e2)
% 176.58/27.40 | | | | | | | | | | | | | | | | |
% 176.58/27.40 | | | | | | | | | | | | | | | | | REDUCE: (475), (22225) imply:
% 176.58/27.40 | | | | | | | | | | | | | | | | | (22226) ~ (all_52_3 = e2)
% 176.58/27.40 | | | | | | | | | | | | | | | | |
% 176.58/27.40 | | | | | | | | | | | | | | | | | BETA: splitting (167) gives:
% 176.58/27.40 | | | | | | | | | | | | | | | | |
% 176.58/27.40 | | | | | | | | | | | | | | | | | Case 1:
% 176.58/27.40 | | | | | | | | | | | | | | | | | |
% 176.58/27.40 | | | | | | | | | | | | | | | | | | (22227) ~ (all_58_0 = e1)
% 176.58/27.40 | | | | | | | | | | | | | | | | | |
% 176.58/27.40 | | | | | | | | | | | | | | | | | | REDUCE: (484), (22227) imply:
% 176.58/27.40 | | | | | | | | | | | | | | | | | | (22228) ~ (all_52_0 = e1)
% 176.58/27.40 | | | | | | | | | | | | | | | | | |
% 176.58/27.40 | | | | | | | | | | | | | | | | | | BETA: splitting (162) gives:
% 176.58/27.40 | | | | | | | | | | | | | | | | | |
% 176.58/27.40 | | | | | | | | | | | | | | | | | | Case 1:
% 176.58/27.40 | | | | | | | | | | | | | | | | | | |
% 176.58/27.40 | | | | | | | | | | | | | | | | | | | (22229) ~ (all_58_2 = e3)
% 176.58/27.40 | | | | | | | | | | | | | | | | | | |
% 176.58/27.40 | | | | | | | | | | | | | | | | | | | REDUCE: (478), (22229) imply:
% 176.58/27.40 | | | | | | | | | | | | | | | | | | | (22230) ~ (all_52_2 = e3)
% 176.58/27.40 | | | | | | | | | | | | | | | | | | |
% 176.58/27.40 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (50), (149), (161), (229), (232), (478),
% 176.58/27.40 | | | | | | | | | | | | | | | | | | | (481), (538), (659), (731), (748), (21466),
% 176.58/27.40 | | | | | | | | | | | | | | | | | | | (21765), (21780), (21797), (22224), (22230) are
% 176.58/27.40 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #46.
% 176.58/27.40 | | | | | | | | | | | | | | | | | | |
% 176.58/27.40 | | | | | | | | | | | | | | | | | | Case 2:
% 176.58/27.40 | | | | | | | | | | | | | | | | | | |
% 176.58/27.40 | | | | | | | | | | | | | | | | | | | (22231) all_58_0 = e1
% 176.58/27.40 | | | | | | | | | | | | | | | | | | |
% 176.58/27.40 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (484), (22228), (22231) are inconsistent by
% 176.58/27.40 | | | | | | | | | | | | | | | | | | | sub-proof #470.
% 176.58/27.40 | | | | | | | | | | | | | | | | | | |
% 176.58/27.40 | | | | | | | | | | | | | | | | | | End of split
% 176.58/27.40 | | | | | | | | | | | | | | | | | |
% 176.58/27.40 | | | | | | | | | | | | | | | | | Case 2:
% 176.58/27.40 | | | | | | | | | | | | | | | | | |
% 176.58/27.40 | | | | | | | | | | | | | | | | | | (22232) all_58_2 = e3
% 176.58/27.40 | | | | | | | | | | | | | | | | | | (22233) all_58_0 = e1
% 176.58/27.40 | | | | | | | | | | | | | | | | | |
% 176.58/27.40 | | | | | | | | | | | | | | | | | | REF_CLOSE: (50), (148), (478), (484), (539), (630), (633),
% 176.58/27.40 | | | | | | | | | | | | | | | | | | (765), (21765), (22174), (22226), (22232), (22233)
% 176.58/27.40 | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #431.
% 176.58/27.40 | | | | | | | | | | | | | | | | | |
% 176.58/27.40 | | | | | | | | | | | | | | | | | End of split
% 176.58/27.40 | | | | | | | | | | | | | | | | |
% 176.58/27.40 | | | | | | | | | | | | | | | | Case 2:
% 176.58/27.40 | | | | | | | | | | | | | | | | |
% 176.58/27.40 | | | | | | | | | | | | | | | | | (22234) all_58_3 = e2
% 176.58/27.40 | | | | | | | | | | | | | | | | | (22235) all_58_1 = e0
% 176.58/27.40 | | | | | | | | | | | | | | | | |
% 176.58/27.40 | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (50), (225), (231), (475), (481), (663),
% 176.58/27.40 | | | | | | | | | | | | | | | | | (731), (765), (21781), (21798), (22234), (22235)
% 176.58/27.40 | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #456.
% 176.58/27.40 | | | | | | | | | | | | | | | | |
% 176.58/27.40 | | | | | | | | | | | | | | | | End of split
% 176.58/27.40 | | | | | | | | | | | | | | | |
% 176.58/27.40 | | | | | | | | | | | | | | | Case 2:
% 176.58/27.40 | | | | | | | | | | | | | | | |
% 176.58/27.40 | | | | | | | | | | | | | | | | (22236) all_58_3 = e1
% 176.58/27.40 | | | | | | | | | | | | | | | |
% 176.58/27.40 | | | | | | | | | | | | | | | | REF_CLOSE: (475), (22222), (22236) are inconsistent by
% 176.58/27.40 | | | | | | | | | | | | | | | | sub-proof #460.
% 176.58/27.40 | | | | | | | | | | | | | | | |
% 176.58/27.40 | | | | | | | | | | | | | | | End of split
% 176.58/27.40 | | | | | | | | | | | | | | |
% 176.58/27.40 | | | | | | | | | | | | | | Case 2:
% 176.58/27.40 | | | | | | | | | | | | | | |
% 176.58/27.40 | | | | | | | | | | | | | | | (22237) all_58_2 = e0
% 176.58/27.40 | | | | | | | | | | | | | | |
% 176.58/27.40 | | | | | | | | | | | | | | | REF_CLOSE: (8), (50), (227), (478), (748), (22206), (22219),
% 176.58/27.40 | | | | | | | | | | | | | | | (22237) are inconsistent by sub-proof #35.
% 176.58/27.40 | | | | | | | | | | | | | | |
% 176.58/27.40 | | | | | | | | | | | | | | End of split
% 176.58/27.40 | | | | | | | | | | | | | |
% 176.58/27.40 | | | | | | | | | | | | | End of split
% 176.58/27.40 | | | | | | | | | | | | |
% 176.58/27.40 | | | | | | | | | | | | Case 2:
% 176.58/27.40 | | | | | | | | | | | | |
% 176.58/27.40 | | | | | | | | | | | | | (22238) all_36_2 = e0
% 176.58/27.40 | | | | | | | | | | | | |
% 176.58/27.40 | | | | | | | | | | | | | COMBINE_EQS: (557), (22238) imply:
% 176.58/27.40 | | | | | | | | | | | | | (22239) all_14_2 = e0
% 176.58/27.40 | | | | | | | | | | | | |
% 176.58/27.40 | | | | | | | | | | | | | REDUCE: (21507), (22239) imply:
% 176.58/27.40 | | | | | | | | | | | | | (22240) ~ (all_4_1 = e0)
% 176.58/27.40 | | | | | | | | | | | | |
% 176.58/27.40 | | | | | | | | | | | | | SIMP: (22240) implies:
% 176.58/27.40 | | | | | | | | | | | | | (22241) ~ (all_4_1 = e0)
% 176.58/27.40 | | | | | | | | | | | | |
% 176.58/27.40 | | | | | | | | | | | | | REDUCE: (635), (22239) imply:
% 176.58/27.40 | | | | | | | | | | | | | (22242) op(e0, e2) = all_65_1
% 176.58/27.40 | | | | | | | | | | | | |
% 176.58/27.40 | | | | | | | | | | | | | REDUCE: (21538), (22239) imply:
% 176.58/27.40 | | | | | | | | | | | | | (22243) op(e0, e1) = all_65_32
% 176.58/27.40 | | | | | | | | | | | | |
% 176.58/27.40 | | | | | | | | | | | | | REDUCE: (715), (22239) imply:
% 176.58/27.40 | | | | | | | | | | | | | (22244) op(e2, e0) = all_65_16
% 176.58/27.40 | | | | | | | | | | | | |
% 176.58/27.40 | | | | | | | | | | | | | REDUCE: (732), (22239) imply:
% 176.58/27.40 | | | | | | | | | | | | | (22245) op(e1, e0) = all_65_32
% 176.58/27.40 | | | | | | | | | | | | |
% 176.58/27.40 | | | | | | | | | | | | | REDUCE: (749), (22239) imply:
% 176.58/27.40 | | | | | | | | | | | | | (22246) op(e0, e0) = all_65_49
% 176.58/27.40 | | | | | | | | | | | | |
% 176.58/27.40 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e3, all_65_49, e0, e0,
% 176.58/27.40 | | | | | | | | | | | | | simplifying with (22174), (22246) gives:
% 176.58/27.40 | | | | | | | | | | | | | (22247) all_65_49 = e3
% 176.58/27.40 | | | | | | | | | | | | |
% 176.58/27.40 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_11, all_65_32, e1,
% 176.58/27.40 | | | | | | | | | | | | | e0, simplifying with (224), (22243) gives:
% 176.58/27.40 | | | | | | | | | | | | | (22248) all_65_32 = all_61_11
% 176.58/27.40 | | | | | | | | | | | | |
% 176.58/27.40 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_7, all_65_1, e2,
% 176.58/27.40 | | | | | | | | | | | | | e0, simplifying with (225), (22242) gives:
% 176.58/27.40 | | | | | | | | | | | | | (22249) all_65_1 = all_61_7
% 176.58/27.40 | | | | | | | | | | | | |
% 176.58/27.40 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_14, all_65_32, e0,
% 176.58/27.40 | | | | | | | | | | | | | e1, simplifying with (227), (22245) gives:
% 176.58/27.40 | | | | | | | | | | | | | (22250) all_65_32 = all_61_14
% 176.58/27.40 | | | | | | | | | | | | |
% 176.58/27.40 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_13, all_65_16, e0,
% 176.58/27.40 | | | | | | | | | | | | | e2, simplifying with (231), (22244) gives:
% 176.58/27.40 | | | | | | | | | | | | | (22251) all_65_16 = all_61_13
% 176.58/27.40 | | | | | | | | | | | | |
% 176.58/27.40 | | | | | | | | | | | | | COMBINE_EQS: (22248), (22250) imply:
% 176.58/27.40 | | | | | | | | | | | | | (22252) all_61_11 = all_61_14
% 176.58/27.40 | | | | | | | | | | | | |
% 176.58/27.40 | | | | | | | | | | | | | SIMP: (22252) implies:
% 176.58/27.40 | | | | | | | | | | | | | (22253) all_61_11 = all_61_14
% 176.58/27.40 | | | | | | | | | | | | |
% 176.58/27.40 | | | | | | | | | | | | | REDUCE: (693), (22253) imply:
% 176.58/27.40 | | | | | | | | | | | | | (22254) op(all_61_14, e0) = all_65_71
% 176.58/27.40 | | | | | | | | | | | | |
% 176.58/27.40 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_4_1, all_65_71, e0,
% 176.58/27.40 | | | | | | | | | | | | | all_61_14, simplifying with (22192), (22254)
% 176.58/27.40 | | | | | | | | | | | | | gives:
% 176.58/27.40 | | | | | | | | | | | | | (22255) all_65_71 = all_4_1
% 176.58/27.40 | | | | | | | | | | | | |
% 176.58/27.40 | | | | | | | | | | | | | BETA: splitting (159) gives:
% 176.58/27.40 | | | | | | | | | | | | |
% 176.58/27.40 | | | | | | | | | | | | | Case 1:
% 176.58/27.40 | | | | | | | | | | | | | |
% 176.58/27.40 | | | | | | | | | | | | | | (22256) ~ (all_58_3 = e3)
% 176.58/27.40 | | | | | | | | | | | | | |
% 176.58/27.40 | | | | | | | | | | | | | | REDUCE: (475), (22256) imply:
% 176.58/27.40 | | | | | | | | | | | | | | (22257) ~ (all_52_3 = e3)
% 176.58/27.40 | | | | | | | | | | | | | |
% 176.58/27.40 | | | | | | | | | | | | | | BETA: splitting (158) gives:
% 176.58/27.40 | | | | | | | | | | | | | |
% 176.58/27.40 | | | | | | | | | | | | | | Case 1:
% 176.58/27.40 | | | | | | | | | | | | | | |
% 176.58/27.40 | | | | | | | | | | | | | | | (22258) ~ (all_58_3 = e2)
% 176.58/27.40 | | | | | | | | | | | | | | |
% 176.58/27.40 | | | | | | | | | | | | | | | REDUCE: (475), (22258) imply:
% 176.58/27.40 | | | | | | | | | | | | | | | (22259) ~ (all_52_3 = e2)
% 176.58/27.40 | | | | | | | | | | | | | | |
% 176.58/27.40 | | | | | | | | | | | | | | | BETA: splitting (163) gives:
% 176.58/27.40 | | | | | | | | | | | | | | |
% 176.58/27.40 | | | | | | | | | | | | | | | Case 1:
% 176.58/27.40 | | | | | | | | | | | | | | | |
% 176.58/27.40 | | | | | | | | | | | | | | | | (22260) ~ (all_58_1 = e0)
% 176.58/27.40 | | | | | | | | | | | | | | | |
% 176.58/27.40 | | | | | | | | | | | | | | | | REDUCE: (481), (22260) imply:
% 176.58/27.40 | | | | | | | | | | | | | | | | (22261) ~ (all_52_1 = e0)
% 176.58/27.40 | | | | | | | | | | | | | | | |
% 176.58/27.40 | | | | | | | | | | | | | | | | BETA: splitting (157) gives:
% 176.58/27.40 | | | | | | | | | | | | | | | |
% 176.58/27.40 | | | | | | | | | | | | | | | | Case 1:
% 176.58/27.40 | | | | | | | | | | | | | | | | |
% 176.58/27.40 | | | | | | | | | | | | | | | | | (22262) ~ (all_58_3 = e1)
% 176.58/27.40 | | | | | | | | | | | | | | | | |
% 176.58/27.40 | | | | | | | | | | | | | | | | | REDUCE: (475), (22262) imply:
% 176.58/27.40 | | | | | | | | | | | | | | | | | (22263) ~ (all_52_3 = e1)
% 176.58/27.40 | | | | | | | | | | | | | | | | |
% 176.58/27.40 | | | | | | | | | | | | | | | | | REF_CLOSE: (50), (148), (158), (475), (481), (539), (765),
% 176.58/27.40 | | | | | | | | | | | | | | | | | (21765), (22174), (22257), (22261), (22263) are
% 176.58/27.40 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #438.
% 176.58/27.40 | | | | | | | | | | | | | | | | |
% 176.58/27.40 | | | | | | | | | | | | | | | | Case 2:
% 176.58/27.40 | | | | | | | | | | | | | | | | |
% 176.58/27.40 | | | | | | | | | | | | | | | | | (22264) all_58_2 = e0
% 176.58/27.40 | | | | | | | | | | | | | | | | |
% 176.58/27.40 | | | | | | | | | | | | | | | | | COMBINE_EQS: (478), (22264) imply:
% 176.58/27.40 | | | | | | | | | | | | | | | | | (22265) all_52_2 = e0
% 176.58/27.40 | | | | | | | | | | | | | | | | |
% 176.58/27.40 | | | | | | | | | | | | | | | | | SIMP: (22265) implies:
% 176.58/27.40 | | | | | | | | | | | | | | | | | (22266) all_52_2 = e0
% 176.58/27.40 | | | | | | | | | | | | | | | | |
% 176.58/27.40 | | | | | | | | | | | | | | | | | REDUCE: (748), (22266) imply:
% 176.58/27.40 | | | | | | | | | | | | | | | | | (22267) op(e1, e0) = unit
% 176.58/27.40 | | | | | | | | | | | | | | | | |
% 176.58/27.40 | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (50), (227), (22192), (22241), (22267) are
% 176.58/27.40 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #34.
% 176.58/27.40 | | | | | | | | | | | | | | | | |
% 176.58/27.40 | | | | | | | | | | | | | | | | End of split
% 176.58/27.40 | | | | | | | | | | | | | | | |
% 176.58/27.40 | | | | | | | | | | | | | | | Case 2:
% 176.58/27.40 | | | | | | | | | | | | | | | |
% 176.58/27.40 | | | | | | | | | | | | | | | | (22268) all_58_3 = e2
% 176.58/27.40 | | | | | | | | | | | | | | | |
% 176.58/27.40 | | | | | | | | | | | | | | | | REF_CLOSE: (475), (22259), (22268) are inconsistent by
% 176.58/27.40 | | | | | | | | | | | | | | | | sub-proof #459.
% 176.58/27.40 | | | | | | | | | | | | | | | |
% 176.58/27.40 | | | | | | | | | | | | | | | End of split
% 176.58/27.40 | | | | | | | | | | | | | | |
% 176.58/27.40 | | | | | | | | | | | | | | Case 2:
% 176.58/27.40 | | | | | | | | | | | | | | |
% 176.58/27.40 | | | | | | | | | | | | | | | (22269) all_58_3 = e2
% 176.58/27.40 | | | | | | | | | | | | | | | (22270) all_58_1 = e0
% 176.58/27.40 | | | | | | | | | | | | | | |
% 176.58/27.40 | | | | | | | | | | | | | | | REF_CLOSE: (9), (50), (225), (231), (475), (481), (663),
% 176.58/27.40 | | | | | | | | | | | | | | | (731), (765), (21781), (21798), (22269), (22270)
% 176.58/27.40 | | | | | | | | | | | | | | | are inconsistent by sub-proof #456.
% 176.58/27.40 | | | | | | | | | | | | | | |
% 176.58/27.40 | | | | | | | | | | | | | | End of split
% 176.58/27.40 | | | | | | | | | | | | | |
% 176.58/27.40 | | | | | | | | | | | | | Case 2:
% 176.58/27.40 | | | | | | | | | | | | | |
% 176.58/27.40 | | | | | | | | | | | | | | (22271) all_58_3 = e3
% 176.58/27.40 | | | | | | | | | | | | | | (22272) all_58_0 = e0
% 176.58/27.40 | | | | | | | | | | | | | |
% 176.58/27.40 | | | | | | | | | | | | | | REF_CLOSE: (9), (50), (149), (161), (229), (232), (475),
% 176.58/27.40 | | | | | | | | | | | | | | (478), (481), (484), (538), (629), (633), (659),
% 176.58/27.40 | | | | | | | | | | | | | | (731), (748), (21466), (21765), (21780), (21797),
% 176.58/27.40 | | | | | | | | | | | | | | (22271), (22272) are inconsistent by sub-proof
% 176.58/27.40 | | | | | | | | | | | | | | #45.
% 176.58/27.40 | | | | | | | | | | | | | |
% 176.58/27.40 | | | | | | | | | | | | | End of split
% 176.58/27.40 | | | | | | | | | | | | |
% 176.58/27.40 | | | | | | | | | | | | End of split
% 176.58/27.40 | | | | | | | | | | | |
% 176.58/27.40 | | | | | | | | | | | End of split
% 176.58/27.40 | | | | | | | | | | |
% 176.58/27.40 | | | | | | | | | | Case 2:
% 176.58/27.40 | | | | | | | | | | |
% 176.58/27.40 | | | | | | | | | | | (22273) all_63_5 = e1 | all_63_5 = e0
% 176.58/27.40 | | | | | | | | | | |
% 176.58/27.40 | | | | | | | | | | | REF_CLOSE: (587), (21768), (21772), (22273) are inconsistent
% 176.58/27.40 | | | | | | | | | | | by sub-proof #524.
% 176.58/27.40 | | | | | | | | | | |
% 176.58/27.40 | | | | | | | | | | End of split
% 176.58/27.40 | | | | | | | | | |
% 176.58/27.40 | | | | | | | | | End of split
% 176.58/27.40 | | | | | | | | |
% 176.58/27.40 | | | | | | | | Case 2:
% 176.58/27.40 | | | | | | | | |
% 176.58/27.40 | | | | | | | | | (22274) all_22_2 = e0
% 176.58/27.40 | | | | | | | | | (22275) op(e2, e0) = all_22_1 & $i(all_22_1) & ( ~
% 176.58/27.40 | | | | | | | | | (all_22_1 = e1) | ( ~ (all_22_0 = e3) & op(e1,
% 176.58/27.40 | | | | | | | | | e2) = all_22_0 & $i(all_22_0)))
% 176.58/27.40 | | | | | | | | |
% 176.58/27.40 | | | | | | | | | ALPHA: (22275) implies:
% 176.58/27.40 | | | | | | | | | (22276) op(e2, e0) = all_22_1
% 176.58/27.40 | | | | | | | | |
% 176.58/27.40 | | | | | | | | | COMBINE_EQS: (449), (22274) imply:
% 176.58/27.40 | | | | | | | | | (22277) all_6_2 = e0
% 176.58/27.40 | | | | | | | | |
% 176.58/27.40 | | | | | | | | | SIMP: (22277) implies:
% 176.58/27.40 | | | | | | | | | (22278) all_6_2 = e0
% 176.58/27.40 | | | | | | | | |
% 176.58/27.40 | | | | | | | | | COMBINE_EQS: (580), (22278) imply:
% 176.58/27.40 | | | | | | | | | (22279) all_38_2 = e0
% 176.58/27.40 | | | | | | | | |
% 176.58/27.40 | | | | | | | | | REDUCE: (604), (22278) imply:
% 176.58/27.40 | | | | | | | | | (22280) ~ (all_61_1 = e0)
% 176.58/27.40 | | | | | | | | |
% 176.58/27.40 | | | | | | | | | REDUCE: (607), (22278) imply:
% 176.58/27.40 | | | | | | | | | (22281) ~ (all_61_4 = e0)
% 176.58/27.40 | | | | | | | | |
% 176.58/27.40 | | | | | | | | | REDUCE: (609), (22278) imply:
% 176.58/27.40 | | | | | | | | | (22282) ~ (all_61_6 = e0)
% 176.58/27.40 | | | | | | | | |
% 176.58/27.40 | | | | | | | | | REDUCE: (613), (22278) imply:
% 176.58/27.40 | | | | | | | | | (22283) ~ (all_61_9 = e0)
% 176.58/27.40 | | | | | | | | |
% 176.58/27.40 | | | | | | | | | REDUCE: (615), (22278) imply:
% 176.58/27.40 | | | | | | | | | (22284) ~ (all_61_13 = e0)
% 176.58/27.40 | | | | | | | | |
% 176.58/27.40 | | | | | | | | | REDUCE: (21541), (22278) imply:
% 176.58/27.40 | | | | | | | | | (22285) ~ (e3 = e0)
% 176.58/27.40 | | | | | | | | |
% 176.58/27.40 | | | | | | | | | REDUCE: (21768), (22278) imply:
% 176.58/27.40 | | | | | | | | | (22286) ~ (e1 = e0)
% 176.58/27.40 | | | | | | | | |
% 176.58/27.40 | | | | | | | | | REDUCE: (654), (22278) imply:
% 176.58/27.40 | | | | | | | | | (22287) op(e0, e3) = all_65_20
% 176.58/27.40 | | | | | | | | |
% 176.58/27.40 | | | | | | | | | REDUCE: (655), (22278) imply:
% 176.58/27.40 | | | | | | | | | (22288) op(e0, e2) = all_65_21
% 176.58/27.40 | | | | | | | | |
% 176.58/27.40 | | | | | | | | | REDUCE: (656), (22278) imply:
% 176.58/27.40 | | | | | | | | | (22289) op(e0, e1) = all_65_22
% 176.58/27.40 | | | | | | | | |
% 176.58/27.40 | | | | | | | | | REDUCE: (657), (22278) imply:
% 176.58/27.40 | | | | | | | | | (22290) op(e0, e0) = all_65_23
% 176.58/27.40 | | | | | | | | |
% 176.58/27.40 | | | | | | | | | REDUCE: (703), (22278) imply:
% 176.58/27.40 | | | | | | | | | (22291) op(e3, e0) = all_65_5
% 176.58/27.40 | | | | | | | | |
% 176.58/27.40 | | | | | | | | | REDUCE: (720), (22278) imply:
% 176.58/27.40 | | | | | | | | | (22292) op(e2, e0) = all_65_21
% 176.58/27.40 | | | | | | | | |
% 176.58/27.40 | | | | | | | | | REDUCE: (55), (22278) imply:
% 176.58/27.40 | | | | | | | | | (22293) op(e2, e2) = e0
% 176.58/27.40 | | | | | | | | |
% 176.58/27.40 | | | | | | | | | REDUCE: (737), (22278) imply:
% 176.58/27.40 | | | | | | | | | (22294) op(e1, e0) = all_65_37
% 176.58/27.40 | | | | | | | | |
% 176.58/27.40 | | | | | | | | | REDUCE: (754), (22278) imply:
% 176.58/27.40 | | | | | | | | | (22295) op(e0, e0) = all_65_59
% 176.58/27.40 | | | | | | | | |
% 176.58/27.40 | | | | | | | | | BETA: splitting (104) gives:
% 176.58/27.40 | | | | | | | | |
% 176.58/27.40 | | | | | | | | | Case 1:
% 176.58/27.40 | | | | | | | | | |
% 176.58/27.40 | | | | | | | | | | (22296) ~ (all_38_2 = e0)
% 176.58/27.40 | | | | | | | | | |
% 176.58/27.40 | | | | | | | | | | REDUCE: (22279), (22296) imply:
% 176.58/27.40 | | | | | | | | | | (22297) $false
% 176.58/27.40 | | | | | | | | | |
% 176.58/27.40 | | | | | | | | | | CLOSE: (22297) is inconsistent.
% 176.58/27.40 | | | | | | | | | |
% 176.58/27.40 | | | | | | | | | Case 2:
% 176.58/27.40 | | | | | | | | | |
% 176.58/27.40 | | | | | | | | | | (22298) op(e2, e0) = all_38_1 & $i(all_38_1) & ( ~
% 176.58/27.40 | | | | | | | | | | (all_38_1 = e3) | ( ~ (all_38_0 = e1) & op(e3,
% 176.58/27.40 | | | | | | | | | | e2) = all_38_0 & $i(all_38_0)))
% 176.58/27.40 | | | | | | | | | |
% 176.58/27.40 | | | | | | | | | | ALPHA: (22298) implies:
% 176.58/27.40 | | | | | | | | | | (22299) op(e2, e0) = all_38_1
% 176.58/27.40 | | | | | | | | | |
% 176.58/27.40 | | | | | | | | | | GROUND_INST: instantiating (50) with all_20_2, all_65_23, e0,
% 176.58/27.40 | | | | | | | | | | e0, simplifying with (76), (22290) gives:
% 176.58/27.40 | | | | | | | | | | (22300) all_65_23 = all_20_2
% 176.58/27.40 | | | | | | | | | |
% 176.58/27.40 | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_59, all_65_23, e0,
% 176.58/27.40 | | | | | | | | | | e0, simplifying with (22290), (22295) gives:
% 176.58/27.40 | | | | | | | | | | (22301) all_65_23 = all_65_59
% 176.58/27.40 | | | | | | | | | |
% 176.58/27.40 | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_11, all_65_22, e1,
% 176.58/27.40 | | | | | | | | | | e0, simplifying with (224), (22289) gives:
% 176.58/27.40 | | | | | | | | | | (22302) all_65_22 = all_61_11
% 176.58/27.40 | | | | | | | | | |
% 176.58/27.40 | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_7, all_65_21, e2,
% 176.58/27.40 | | | | | | | | | | e0, simplifying with (225), (22288) gives:
% 176.58/27.40 | | | | | | | | | | (22303) all_65_21 = all_61_7
% 176.58/27.40 | | | | | | | | | |
% 176.58/27.40 | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_3, all_65_20, e3,
% 176.58/27.40 | | | | | | | | | | e0, simplifying with (226), (22287) gives:
% 176.58/27.40 | | | | | | | | | | (22304) all_65_20 = all_61_3
% 176.58/27.40 | | | | | | | | | |
% 176.58/27.40 | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_14, all_65_37, e0,
% 176.58/27.40 | | | | | | | | | | e1, simplifying with (227), (22294) gives:
% 176.58/27.40 | | | | | | | | | | (22305) all_65_37 = all_61_14
% 176.58/27.40 | | | | | | | | | |
% 176.58/27.40 | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_13, all_22_1, e0,
% 176.58/27.40 | | | | | | | | | | e2, simplifying with (231), (22276) gives:
% 176.58/27.40 | | | | | | | | | | (22306) all_61_13 = all_22_1
% 176.58/27.40 | | | | | | | | | |
% 176.58/27.40 | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_13, all_65_21, e0,
% 176.58/27.40 | | | | | | | | | | e2, simplifying with (231), (22292) gives:
% 176.58/27.40 | | | | | | | | | | (22307) all_65_21 = all_61_13
% 176.58/27.40 | | | | | | | | | |
% 176.58/27.40 | | | | | | | | | | GROUND_INST: instantiating (50) with all_38_1, all_65_21, e0,
% 176.58/27.40 | | | | | | | | | | e2, simplifying with (22292), (22299) gives:
% 176.58/27.40 | | | | | | | | | | (22308) all_65_21 = all_38_1
% 176.58/27.40 | | | | | | | | | |
% 176.58/27.40 | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_12, all_65_5, e0,
% 176.58/27.40 | | | | | | | | | | e3, simplifying with (235), (22291) gives:
% 176.58/27.40 | | | | | | | | | | (22309) all_65_5 = all_61_12
% 176.58/27.40 | | | | | | | | | |
% 176.58/27.40 | | | | | | | | | | COMBINE_EQS: (22303), (22308) imply:
% 176.58/27.40 | | | | | | | | | | (22310) all_61_7 = all_38_1
% 176.58/27.40 | | | | | | | | | |
% 176.58/27.40 | | | | | | | | | | SIMP: (22310) implies:
% 176.58/27.40 | | | | | | | | | | (22311) all_61_7 = all_38_1
% 176.58/27.40 | | | | | | | | | |
% 176.58/27.40 | | | | | | | | | | COMBINE_EQS: (22307), (22308) imply:
% 176.58/27.40 | | | | | | | | | | (22312) all_61_13 = all_38_1
% 176.58/27.40 | | | | | | | | | |
% 176.58/27.40 | | | | | | | | | | SIMP: (22312) implies:
% 176.58/27.40 | | | | | | | | | | (22313) all_61_13 = all_38_1
% 176.58/27.40 | | | | | | | | | |
% 176.58/27.40 | | | | | | | | | | COMBINE_EQS: (22300), (22301) imply:
% 176.58/27.40 | | | | | | | | | | (22314) all_65_59 = all_20_2
% 176.58/27.40 | | | | | | | | | |
% 176.58/27.40 | | | | | | | | | | SIMP: (22314) implies:
% 176.58/27.40 | | | | | | | | | | (22315) all_65_59 = all_20_2
% 176.58/27.40 | | | | | | | | | |
% 176.58/27.40 | | | | | | | | | | COMBINE_EQS: (22306), (22313) imply:
% 176.58/27.40 | | | | | | | | | | (22316) all_38_1 = all_22_1
% 176.58/27.40 | | | | | | | | | |
% 176.58/27.40 | | | | | | | | | | SIMP: (22316) implies:
% 176.58/27.40 | | | | | | | | | | (22317) all_38_1 = all_22_1
% 176.58/27.40 | | | | | | | | | |
% 176.58/27.40 | | | | | | | | | | COMBINE_EQS: (22311), (22317) imply:
% 176.58/27.40 | | | | | | | | | | (22318) all_61_7 = all_22_1
% 176.58/27.40 | | | | | | | | | |
% 176.58/27.40 | | | | | | | | | | COMBINE_EQS: (508), (22318) imply:
% 176.58/27.40 | | | | | | | | | | (22319) all_63_13 = all_22_1
% 176.58/27.40 | | | | | | | | | |
% 176.58/27.40 | | | | | | | | | | COMBINE_EQS: (498), (22306) imply:
% 176.58/27.40 | | | | | | | | | | (22320) all_63_7 = all_22_1
% 176.58/27.40 | | | | | | | | | |
% 176.58/27.40 | | | | | | | | | | REDUCE: (212), (22306) imply:
% 176.58/27.40 | | | | | | | | | | (22321) ~ (all_61_1 = all_22_1)
% 176.58/27.40 | | | | | | | | | |
% 176.58/27.40 | | | | | | | | | | REDUCE: (207), (22318) imply:
% 176.58/27.40 | | | | | | | | | | (22322) ~ (all_61_3 = all_22_1)
% 176.58/27.40 | | | | | | | | | |
% 176.58/27.40 | | | | | | | | | | REDUCE: (202), (22318) imply:
% 176.58/27.40 | | | | | | | | | | (22323) ~ (all_61_4 = all_22_1)
% 176.58/27.40 | | | | | | | | | |
% 176.58/27.40 | | | | | | | | | | REDUCE: (184), (22306) imply:
% 176.58/27.40 | | | | | | | | | | (22324) ~ (all_61_9 = all_22_1)
% 176.58/27.40 | | | | | | | | | |
% 176.58/27.40 | | | | | | | | | | REDUCE: (177), (22306) imply:
% 176.58/27.40 | | | | | | | | | | (22325) ~ (all_61_14 = all_22_1)
% 176.58/27.40 | | | | | | | | | |
% 176.58/27.40 | | | | | | | | | | SIMP: (22325) implies:
% 176.58/27.40 | | | | | | | | | | (22326) ~ (all_61_14 = all_22_1)
% 176.58/27.40 | | | | | | | | | |
% 176.58/27.40 | | | | | | | | | | REDUCE: (626), (22306) imply:
% 176.58/27.40 | | | | | | | | | | (22327) ~ (all_22_1 = all_20_2)
% 176.58/27.40 | | | | | | | | | |
% 176.58/27.40 | | | | | | | | | | REDUCE: (22284), (22306) imply:
% 176.58/27.40 | | | | | | | | | | (22328) ~ (all_22_1 = e0)
% 176.58/27.40 | | | | | | | | | |
% 176.58/27.40 | | | | | | | | | | REDUCE: (671), (22305) imply:
% 176.58/27.40 | | | | | | | | | | (22329) op(all_61_6, e2) = all_61_14
% 176.58/27.40 | | | | | | | | | |
% 176.58/27.40 | | | | | | | | | | REDUCE: (686), (22318) imply:
% 176.58/27.40 | | | | | | | | | | (22330) op(all_22_1, e3) = all_65_57
% 176.58/27.40 | | | | | | | | | |
% 176.58/27.40 | | | | | | | | | | REDUCE: (687), (22315), (22318) imply:
% 176.58/27.40 | | | | | | | | | | (22331) op(all_22_1, e2) = all_20_2
% 176.58/27.40 | | | | | | | | | |
% 176.58/27.40 | | | | | | | | | | REDUCE: (688), (22318) imply:
% 176.58/27.40 | | | | | | | | | | (22332) op(all_22_1, e1) = all_65_61
% 176.58/27.40 | | | | | | | | | |
% 176.58/27.40 | | | | | | | | | | REDUCE: (689), (22318) imply:
% 176.58/27.40 | | | | | | | | | | (22333) op(all_22_1, e0) = all_65_63
% 176.58/27.40 | | | | | | | | | |
% 176.58/27.40 | | | | | | | | | | REDUCE: (662), (22306) imply:
% 176.58/27.40 | | | | | | | | | | (22334) op(all_22_1, e3) = all_65_28
% 176.58/27.40 | | | | | | | | | |
% 176.58/27.40 | | | | | | | | | | REDUCE: (663), (22306) imply:
% 176.58/27.40 | | | | | | | | | | (22335) op(all_22_1, e2) = all_65_29
% 176.58/27.40 | | | | | | | | | |
% 176.58/27.40 | | | | | | | | | | REDUCE: (664), (22306) imply:
% 176.58/27.40 | | | | | | | | | | (22336) op(all_22_1, e1) = all_65_30
% 176.58/27.40 | | | | | | | | | |
% 176.58/27.40 | | | | | | | | | | REDUCE: (665), (22306) imply:
% 176.58/27.40 | | | | | | | | | | (22337) op(all_22_1, e0) = all_65_31
% 176.58/27.40 | | | | | | | | | |
% 176.58/27.40 | | | | | | | | | | REDUCE: (745), (22318) imply:
% 176.58/27.40 | | | | | | | | | | (22338) op(e1, all_22_1) = all_65_45
% 176.58/27.40 | | | | | | | | | |
% 176.58/27.40 | | | | | | | | | | REDUCE: (739), (22306) imply:
% 176.58/27.40 | | | | | | | | | | (22339) op(e1, all_22_1) = all_65_39
% 176.58/27.40 | | | | | | | | | |
% 176.58/27.40 | | | | | | | | | | REDUCE: (762), (22318) imply:
% 176.58/27.40 | | | | | | | | | | (22340) op(e0, all_22_1) = all_65_75
% 176.58/27.40 | | | | | | | | | |
% 176.58/27.40 | | | | | | | | | | REDUCE: (756), (22306) imply:
% 176.58/27.40 | | | | | | | | | | (22341) op(e0, all_22_1) = all_65_63
% 176.58/27.40 | | | | | | | | | |
% 176.58/27.40 | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_75, all_65_63,
% 176.58/27.40 | | | | | | | | | | all_22_1, e0, simplifying with (22340), (22341)
% 176.58/27.40 | | | | | | | | | | gives:
% 176.58/27.40 | | | | | | | | | | (22342) all_65_63 = all_65_75
% 176.58/27.40 | | | | | | | | | |
% 176.58/27.40 | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_45, all_65_39,
% 176.58/27.40 | | | | | | | | | | all_22_1, e1, simplifying with (22338), (22339)
% 176.58/27.40 | | | | | | | | | | gives:
% 176.58/27.40 | | | | | | | | | | (22343) all_65_39 = all_65_45
% 176.58/27.40 | | | | | | | | | |
% 176.58/27.40 | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_63, all_65_31, e0,
% 176.58/27.40 | | | | | | | | | | all_22_1, simplifying with (22333), (22337) gives:
% 176.58/27.40 | | | | | | | | | | (22344) all_65_31 = all_65_63
% 176.58/27.40 | | | | | | | | | |
% 176.58/27.40 | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_61, all_65_30, e1,
% 176.58/27.40 | | | | | | | | | | all_22_1, simplifying with (22332), (22336) gives:
% 176.58/27.40 | | | | | | | | | | (22345) all_65_30 = all_65_61
% 176.58/27.40 | | | | | | | | | |
% 176.58/27.40 | | | | | | | | | | GROUND_INST: instantiating (50) with all_20_2, all_65_29, e2,
% 176.58/27.40 | | | | | | | | | | all_22_1, simplifying with (22331), (22335) gives:
% 176.58/27.40 | | | | | | | | | | (22346) all_65_29 = all_20_2
% 176.58/27.40 | | | | | | | | | |
% 176.58/27.40 | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_57, all_65_28, e3,
% 176.58/27.40 | | | | | | | | | | all_22_1, simplifying with (22330), (22334) gives:
% 176.58/27.40 | | | | | | | | | | (22347) all_65_28 = all_65_57
% 176.58/27.40 | | | | | | | | | |
% 176.58/27.40 | | | | | | | | | | COMBINE_EQS: (22342), (22344) imply:
% 176.58/27.40 | | | | | | | | | | (22348) all_65_31 = all_65_75
% 176.58/27.40 | | | | | | | | | |
% 176.58/27.40 | | | | | | | | | | REDUCE: (673), (22343) imply:
% 176.58/27.40 | | | | | | | | | | (22349) op(all_61_6, e0) = all_65_45
% 176.58/27.40 | | | | | | | | | |
% 176.58/27.40 | | | | | | | | | | REDUCE: (727), (22347) imply:
% 176.58/27.40 | | | | | | | | | | (22350) op(e2, all_61_3) = all_65_57
% 176.58/27.40 | | | | | | | | | |
% 176.58/27.40 | | | | | | | | | | REDUCE: (729), (22345) imply:
% 176.58/27.40 | | | | | | | | | | (22351) op(e2, all_61_11) = all_65_61
% 176.58/27.40 | | | | | | | | | |
% 176.58/27.40 | | | | | | | | | | REDUCE: (730), (22348) imply:
% 176.58/27.40 | | | | | | | | | | (22352) op(e2, all_20_2) = all_65_75
% 176.58/27.40 | | | | | | | | | |
% 176.58/27.40 | | | | | | | | | | BETA: splitting (89) gives:
% 176.58/27.40 | | | | | | | | | |
% 176.58/27.40 | | | | | | | | | | Case 1:
% 176.58/27.40 | | | | | | | | | | |
% 176.58/27.40 | | | | | | | | | | | (22353) ~ (all_28_2 = e3)
% 176.58/27.40 | | | | | | | | | | |
% 176.58/27.40 | | | | | | | | | | | REDUCE: (563), (22353) imply:
% 176.58/27.40 | | | | | | | | | | | (22354) ~ (all_20_2 = e3)
% 176.58/27.40 | | | | | | | | | | |
% 176.58/27.40 | | | | | | | | | | | BETA: splitting (101) gives:
% 176.58/27.40 | | | | | | | | | | |
% 176.58/27.40 | | | | | | | | | | | Case 1:
% 176.58/27.40 | | | | | | | | | | | |
% 176.58/27.40 | | | | | | | | | | | | (22355) ~ (all_36_2 = e0)
% 176.58/27.40 | | | | | | | | | | | |
% 176.58/27.40 | | | | | | | | | | | | REDUCE: (557), (22355) imply:
% 176.58/27.40 | | | | | | | | | | | | (22356) ~ (all_14_2 = e0)
% 176.58/27.40 | | | | | | | | | | | |
% 176.58/27.40 | | | | | | | | | | | | BETA: splitting (107) gives:
% 176.58/27.40 | | | | | | | | | | | |
% 176.58/27.40 | | | | | | | | | | | | Case 1:
% 176.58/27.40 | | | | | | | | | | | | |
% 176.58/27.40 | | | | | | | | | | | | | (22357) ~ (all_40_2 = e1)
% 176.58/27.40 | | | | | | | | | | | | |
% 176.58/27.40 | | | | | | | | | | | | | REDUCE: (553), (22357) imply:
% 176.58/27.40 | | | | | | | | | | | | | (22358) ~ (all_14_2 = e1)
% 176.58/27.40 | | | | | | | | | | | | |
% 176.58/27.40 | | | | | | | | | | | | | REF_CLOSE: (10), (50), (67), (151), (159), (162), (165),
% 176.58/27.40 | | | | | | | | | | | | | (166), (167), (168), (226), (230), (234), (235),
% 176.58/27.40 | | | | | | | | | | | | | (236), (237), (271), (475), (478), (481), (484),
% 176.58/27.40 | | | | | | | | | | | | | (534), (588), (599), (601), (603), (635), (636),
% 176.58/27.40 | | | | | | | | | | | | | (637), (638), (642), (646), (650), (666), (682),
% 176.58/27.40 | | | | | | | | | | | | | (698), (714), (715), (731), (732), (748), (749),
% 176.58/27.40 | | | | | | | | | | | | | (765), (21765), (21769), (22356), (22358) are
% 176.58/27.40 | | | | | | | | | | | | | inconsistent by sub-proof #502.
% 176.58/27.40 | | | | | | | | | | | | |
% 176.58/27.40 | | | | | | | | | | | | Case 2:
% 176.58/27.40 | | | | | | | | | | | | |
% 176.58/27.40 | | | | | | | | | | | | | (22359) all_40_2 = e1
% 176.58/27.40 | | | | | | | | | | | | | (22360) op(e3, e1) = all_40_1 & $i(all_40_1) & ( ~
% 176.58/27.40 | | | | | | | | | | | | | (all_40_1 = e0) | ( ~ (all_40_0 = e2) & op(e0,
% 176.58/27.40 | | | | | | | | | | | | | e3) = all_40_0 & $i(all_40_0)))
% 176.58/27.40 | | | | | | | | | | | | |
% 176.58/27.40 | | | | | | | | | | | | | ALPHA: (22360) implies:
% 176.58/27.40 | | | | | | | | | | | | | (22361) op(e3, e1) = all_40_1
% 176.58/27.40 | | | | | | | | | | | | | (22362) ~ (all_40_1 = e0) | ( ~ (all_40_0 = e2) & op(e0,
% 176.58/27.40 | | | | | | | | | | | | | e3) = all_40_0 & $i(all_40_0))
% 176.58/27.40 | | | | | | | | | | | | |
% 176.58/27.40 | | | | | | | | | | | | | COMBINE_EQS: (553), (22359) imply:
% 176.58/27.40 | | | | | | | | | | | | | (22363) all_14_2 = e1
% 176.58/27.40 | | | | | | | | | | | | |
% 176.58/27.40 | | | | | | | | | | | | | COMBINE_EQS: (466), (22363) imply:
% 176.58/27.40 | | | | | | | | | | | | | (22364) all_48_2 = e1
% 176.58/27.40 | | | | | | | | | | | | |
% 176.58/27.40 | | | | | | | | | | | | | REDUCE: (593), (22363) imply:
% 176.58/27.40 | | | | | | | | | | | | | (22365) ~ (all_61_1 = e1)
% 176.58/27.40 | | | | | | | | | | | | |
% 176.58/27.40 | | | | | | | | | | | | | REDUCE: (599), (22363) imply:
% 176.58/27.40 | | | | | | | | | | | | | (22366) ~ (all_61_4 = e1)
% 176.58/27.40 | | | | | | | | | | | | |
% 176.58/27.40 | | | | | | | | | | | | | REDUCE: (603), (22363) imply:
% 176.58/27.40 | | | | | | | | | | | | | (22367) ~ (all_61_12 = e1)
% 176.58/27.40 | | | | | | | | | | | | |
% 176.58/27.40 | | | | | | | | | | | | | REDUCE: (21507), (22363) imply:
% 176.58/27.40 | | | | | | | | | | | | | (22368) ~ (all_4_1 = e1)
% 176.58/27.40 | | | | | | | | | | | | |
% 176.58/27.40 | | | | | | | | | | | | | SIMP: (22368) implies:
% 176.58/27.40 | | | | | | | | | | | | | (22369) ~ (all_4_1 = e1)
% 176.58/27.40 | | | | | | | | | | | | |
% 176.58/27.40 | | | | | | | | | | | | | REDUCE: (635), (22363) imply:
% 176.58/27.40 | | | | | | | | | | | | | (22370) op(e1, e2) = all_65_1
% 176.58/27.40 | | | | | | | | | | | | |
% 176.58/27.40 | | | | | | | | | | | | | REDUCE: (637), (22363) imply:
% 176.58/27.40 | | | | | | | | | | | | | (22371) op(e1, e0) = all_65_3
% 176.58/27.40 | | | | | | | | | | | | |
% 176.58/27.40 | | | | | | | | | | | | | REDUCE: (698), (22363) imply:
% 176.58/27.40 | | | | | | | | | | | | | (22372) op(e3, e1) = all_65_0
% 176.58/27.40 | | | | | | | | | | | | |
% 176.58/27.40 | | | | | | | | | | | | | REDUCE: (715), (22363) imply:
% 176.58/27.40 | | | | | | | | | | | | | (22373) op(e2, e1) = all_65_16
% 176.58/27.40 | | | | | | | | | | | | |
% 176.58/27.40 | | | | | | | | | | | | | REDUCE: (749), (22363) imply:
% 176.58/27.40 | | | | | | | | | | | | | (22374) op(e0, e1) = all_65_49
% 176.58/27.40 | | | | | | | | | | | | |
% 176.58/27.40 | | | | | | | | | | | | | BETA: splitting (119) gives:
% 176.58/27.40 | | | | | | | | | | | | |
% 176.58/27.40 | | | | | | | | | | | | | Case 1:
% 176.58/27.40 | | | | | | | | | | | | | |
% 176.58/27.40 | | | | | | | | | | | | | | (22375) ~ (all_48_2 = e1)
% 176.58/27.40 | | | | | | | | | | | | | |
% 176.58/27.40 | | | | | | | | | | | | | | REDUCE: (22364), (22375) imply:
% 176.58/27.40 | | | | | | | | | | | | | | (22376) $false
% 176.58/27.40 | | | | | | | | | | | | | |
% 176.58/27.40 | | | | | | | | | | | | | | CLOSE: (22376) is inconsistent.
% 176.58/27.40 | | | | | | | | | | | | | |
% 176.58/27.40 | | | | | | | | | | | | | Case 2:
% 176.58/27.40 | | | | | | | | | | | | | |
% 176.58/27.40 | | | | | | | | | | | | | | (22377) op(e3, e1) = all_48_1 & $i(all_48_1) & ( ~
% 176.58/27.40 | | | | | | | | | | | | | | (all_48_1 = e2) | ( ~ (all_48_0 = e0) & op(e2,
% 176.58/27.40 | | | | | | | | | | | | | | e3) = all_48_0 & $i(all_48_0)))
% 176.58/27.40 | | | | | | | | | | | | | |
% 176.58/27.40 | | | | | | | | | | | | | | ALPHA: (22377) implies:
% 176.58/27.40 | | | | | | | | | | | | | | (22378) op(e3, e1) = all_48_1
% 176.58/27.40 | | | | | | | | | | | | | |
% 176.58/27.40 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_11, all_65_49, e1,
% 176.58/27.40 | | | | | | | | | | | | | | e0, simplifying with (224), (22374) gives:
% 176.58/27.40 | | | | | | | | | | | | | | (22379) all_65_49 = all_61_11
% 176.58/27.40 | | | | | | | | | | | | | |
% 176.58/27.40 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_14, all_65_3, e0,
% 176.58/27.40 | | | | | | | | | | | | | | e1, simplifying with (227), (22371) gives:
% 176.58/27.40 | | | | | | | | | | | | | | (22380) all_65_3 = all_61_14
% 176.58/27.40 | | | | | | | | | | | | | |
% 176.58/27.40 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_6, all_65_1, e2,
% 176.58/27.40 | | | | | | | | | | | | | | e1, simplifying with (229), (22370) gives:
% 176.58/27.40 | | | | | | | | | | | | | | (22381) all_65_1 = all_61_6
% 176.58/27.40 | | | | | | | | | | | | | |
% 176.58/27.40 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_9, all_65_16, e1,
% 176.58/27.40 | | | | | | | | | | | | | | e2, simplifying with (232), (22373) gives:
% 176.58/27.40 | | | | | | | | | | | | | | (22382) all_65_16 = all_61_9
% 176.58/27.40 | | | | | | | | | | | | | |
% 176.58/27.40 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_4_1, all_48_1, e1, e3,
% 176.58/27.40 | | | | | | | | | | | | | | simplifying with (21521), (22378) gives:
% 176.58/27.40 | | | | | | | | | | | | | | (22383) all_48_1 = all_4_1
% 176.58/27.40 | | | | | | | | | | | | | |
% 176.58/27.40 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_48_1, all_65_0, e1,
% 176.58/27.40 | | | | | | | | | | | | | | e3, simplifying with (22372), (22378) gives:
% 176.58/27.40 | | | | | | | | | | | | | | (22384) all_65_0 = all_48_1
% 176.58/27.40 | | | | | | | | | | | | | |
% 176.58/27.40 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_40_1, all_65_0, e1,
% 176.58/27.40 | | | | | | | | | | | | | | e3, simplifying with (22361), (22372) gives:
% 176.58/27.40 | | | | | | | | | | | | | | (22385) all_65_0 = all_40_1
% 176.58/27.40 | | | | | | | | | | | | | |
% 176.58/27.40 | | | | | | | | | | | | | | COMBINE_EQS: (22384), (22385) imply:
% 176.58/27.40 | | | | | | | | | | | | | | (22386) all_48_1 = all_40_1
% 176.58/27.40 | | | | | | | | | | | | | |
% 176.58/27.40 | | | | | | | | | | | | | | SIMP: (22386) implies:
% 176.58/27.40 | | | | | | | | | | | | | | (22387) all_48_1 = all_40_1
% 176.58/27.40 | | | | | | | | | | | | | |
% 176.58/27.40 | | | | | | | | | | | | | | COMBINE_EQS: (22383), (22387) imply:
% 176.58/27.40 | | | | | | | | | | | | | | (22388) all_40_1 = all_4_1
% 176.58/27.40 | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | BETA: splitting (110) gives:
% 176.58/27.41 | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | Case 1:
% 176.58/27.41 | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | (22389) ~ (all_42_2 = e1)
% 176.58/27.41 | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | REDUCE: (532), (22389) imply:
% 176.58/27.41 | | | | | | | | | | | | | | | (22390) ~ (all_20_2 = e1)
% 176.58/27.41 | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | BETA: splitting (256) gives:
% 176.58/27.41 | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | Case 1:
% 176.58/27.41 | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | (22391) all_63_15 = e3
% 176.58/27.41 | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | COMBINE_EQS: (422), (22391) imply:
% 176.58/27.41 | | | | | | | | | | | | | | | | (22392) all_20_2 = e3
% 176.58/27.41 | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | REDUCE: (22354), (22392) imply:
% 176.58/27.41 | | | | | | | | | | | | | | | | (22393) $false
% 176.58/27.41 | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | CLOSE: (22393) is inconsistent.
% 176.58/27.41 | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | Case 2:
% 176.58/27.41 | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | (22394) all_63_15 = e2 | all_63_15 = e1 | all_63_15 = e0
% 176.58/27.41 | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | BETA: splitting (22394) gives:
% 176.58/27.41 | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | Case 1:
% 176.58/27.41 | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | (22395) all_63_15 = e2
% 176.58/27.41 | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | COMBINE_EQS: (422), (22395) imply:
% 176.58/27.41 | | | | | | | | | | | | | | | | | (22396) all_20_2 = e2
% 176.58/27.41 | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | REDUCE: (21770), (22396) imply:
% 176.58/27.41 | | | | | | | | | | | | | | | | | (22397) $false
% 176.58/27.41 | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | CLOSE: (22397) is inconsistent.
% 176.58/27.41 | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | Case 2:
% 176.58/27.41 | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | (22398) all_63_15 = e1 | all_63_15 = e0
% 176.58/27.41 | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | BETA: splitting (22398) gives:
% 176.58/27.41 | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | Case 1:
% 176.58/27.41 | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | (22399) all_63_15 = e1
% 176.58/27.41 | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (422), (22399) imply:
% 176.58/27.41 | | | | | | | | | | | | | | | | | | (22400) all_20_2 = e1
% 176.58/27.41 | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | REDUCE: (22390), (22400) imply:
% 176.58/27.41 | | | | | | | | | | | | | | | | | | (22401) $false
% 176.58/27.41 | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | CLOSE: (22401) is inconsistent.
% 176.58/27.41 | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | Case 2:
% 176.58/27.41 | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | (22402) all_63_15 = e0
% 176.58/27.41 | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (422), (22402) imply:
% 176.58/27.41 | | | | | | | | | | | | | | | | | | (22403) all_20_2 = e0
% 176.58/27.41 | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | REDUCE: (625), (22403) imply:
% 176.58/27.41 | | | | | | | | | | | | | | | | | | (22404) ~ (all_61_12 = e0)
% 176.58/27.41 | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | REDUCE: (627), (22403) imply:
% 176.58/27.41 | | | | | | | | | | | | | | | | | | (22405) ~ (all_61_14 = e0)
% 176.58/27.41 | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | REDUCE: (22331), (22403) imply:
% 176.58/27.41 | | | | | | | | | | | | | | | | | | (22406) op(all_22_1, e2) = e0
% 176.58/27.41 | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | REDUCE: (694), (22403) imply:
% 176.58/27.41 | | | | | | | | | | | | | | | | | | (22407) op(e0, e3) = all_65_73
% 176.58/27.41 | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | REDUCE: (696), (22403) imply:
% 176.58/27.41 | | | | | | | | | | | | | | | | | | (22408) op(e0, e1) = all_65_77
% 176.58/27.41 | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | REDUCE: (713), (22403) imply:
% 176.58/27.41 | | | | | | | | | | | | | | | | | | (22409) op(e3, e0) = all_65_15
% 176.58/27.41 | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | REDUCE: (22352), (22403) imply:
% 176.58/27.41 | | | | | | | | | | | | | | | | | | (22410) op(e2, e0) = all_65_75
% 176.58/27.41 | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | REDUCE: (747), (22403) imply:
% 176.58/27.41 | | | | | | | | | | | | | | | | | | (22411) op(e1, e0) = all_65_47
% 176.58/27.41 | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | REDUCE: (764), (22403) imply:
% 176.58/27.41 | | | | | | | | | | | | | | | | | | (22412) op(e0, e0) = all_65_78
% 176.58/27.41 | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | REDUCE: (76), (22403) imply:
% 176.58/27.41 | | | | | | | | | | | | | | | | | | (22413) op(e0, e0) = e0
% 176.58/27.41 | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e0, all_65_78, e0, e0,
% 176.58/27.41 | | | | | | | | | | | | | | | | | | simplifying with (22412), (22413) gives:
% 176.58/27.41 | | | | | | | | | | | | | | | | | | (22414) all_65_78 = e0
% 176.58/27.41 | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_11, all_65_77, e1,
% 176.58/27.41 | | | | | | | | | | | | | | | | | | e0, simplifying with (224), (22408) gives:
% 176.58/27.41 | | | | | | | | | | | | | | | | | | (22415) all_65_77 = all_61_11
% 176.58/27.41 | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_3, all_65_73, e3,
% 176.58/27.41 | | | | | | | | | | | | | | | | | | e0, simplifying with (226), (22407) gives:
% 176.58/27.41 | | | | | | | | | | | | | | | | | | (22416) all_65_73 = all_61_3
% 176.58/27.41 | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_14, all_65_47, e0,
% 176.58/27.41 | | | | | | | | | | | | | | | | | | e1, simplifying with (227), (22411) gives:
% 176.58/27.41 | | | | | | | | | | | | | | | | | | (22417) all_65_47 = all_61_14
% 176.58/27.41 | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_22_1, all_65_75, e0,
% 176.58/27.41 | | | | | | | | | | | | | | | | | | e2, simplifying with (22276), (22410) gives:
% 176.58/27.41 | | | | | | | | | | | | | | | | | | (22418) all_65_75 = all_22_1
% 176.58/27.41 | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_12, all_65_15, e0,
% 176.58/27.41 | | | | | | | | | | | | | | | | | | e3, simplifying with (235), (22409) gives:
% 176.58/27.41 | | | | | | | | | | | | | | | | | | (22419) all_65_15 = all_61_12
% 176.58/27.41 | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | REDUCE: (681), (22417) imply:
% 176.58/27.41 | | | | | | | | | | | | | | | | | | (22420) op(all_61_14, e0) = all_61_14
% 176.58/27.41 | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | BETA: splitting (158) gives:
% 176.58/27.41 | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | Case 1:
% 176.58/27.41 | | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | (22421) ~ (all_58_3 = e2)
% 176.58/27.41 | | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | REDUCE: (475), (22421) imply:
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | (22422) ~ (all_52_3 = e2)
% 176.58/27.41 | | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | BETA: splitting (157) gives:
% 176.58/27.41 | | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | Case 1:
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | (22423) ~ (all_58_3 = e1)
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | REDUCE: (475), (22423) imply:
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | (22424) ~ (all_52_3 = e1)
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | BETA: splitting (159) gives:
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | (22425) ~ (all_58_3 = e3)
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | REDUCE: (475), (22425) imply:
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | (22426) ~ (all_52_3 = e3)
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (50), (148), (200), (235), (270), (488),
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | (539), (765), (22276), (22281), (22323), (22366),
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | (22413), (22422), (22424), (22426) are
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #161.
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | (22427) all_58_3 = e3
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | (22428) all_58_0 = e0
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (484), (22428) imply:
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | (22429) all_52_0 = e0
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | SIMP: (22429) implies:
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | (22430) all_52_0 = e0
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (475), (22427) imply:
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | (22431) all_52_3 = e3
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | REDUCE: (714), (22430) imply:
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | (22432) op(e3, e0) = unit
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | REDUCE: (765), (22431) imply:
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | (22433) op(e0, e3) = unit
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_3, unit, e3, e0,
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | simplifying with (226), (22433) gives:
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | (22434) all_61_3 = unit
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_12, unit, e0, e3,
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | simplifying with (235), (22432) gives:
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | (22435) all_61_12 = unit
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | REDUCE: (215), (22434) imply:
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | (22436) ~ (all_61_1 = unit)
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | REDUCE: (21505), (22435) imply:
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | (22437) ~ (all_4_1 = unit)
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | SIMP: (22437) implies:
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | (22438) ~ (all_4_1 = unit)
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | REDUCE: (22367), (22435) imply:
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | (22439) ~ (unit = e1)
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | REDUCE: (22404), (22435) imply:
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | (22440) ~ (unit = e0)
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | REDUCE: (22350), (22434) imply:
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | (22441) op(e2, unit) = all_65_57
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (21766) gives:
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | | (22442) unit = e2
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (22436), (22442) imply:
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | | (22443) ~ (all_61_1 = e2)
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (22438), (22442) imply:
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | | (22444) ~ (all_4_1 = e2)
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (22441), (22442) imply:
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | | (22445) op(e2, e2) = all_65_57
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5), (22442) imply:
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | | (22446) op(e2, e2) = e2
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (267) gives:
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | | | (22447) all_63_4 = e3
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (493), (22447) imply:
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | | | (22448) all_61_1 = e3
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (21492), (22448) imply:
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | | | (22449) ~ (all_4_1 = e3)
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (753), (22448) imply:
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | | | (22450) op(e0, e3) = all_65_57
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (22362) gives:
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | | | | (22451) ~ (all_40_1 = e0)
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (22388), (22451) imply:
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | | | | (22452) ~ (all_4_1 = e0)
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (263) gives:
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | (22453) all_63_8 = e3
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (21490), (21508), (22453) are inconsistent by
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #44.
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | (22454) all_63_8 = e2 | all_63_8 = e1 | all_63_8 = e0
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (21490), (22369), (22444), (22452), (22454) are
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #42.
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | | | | (22455) ~ (all_40_0 = e2) & op(e0, e3) = all_40_0 &
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_40_0)
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (22455) implies:
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | | | | (22456) ~ (all_40_0 = e2)
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | | | | (22457) op(e0, e3) = all_40_0
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (50), (22445), (22446), (22450), (22456), (22457)
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #422.
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | | | (22458) all_63_4 = e2 | all_63_4 = e1 | all_63_4 = e0
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (493), (22280), (22365), (22443), (22458) are
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #471.
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | | (22459) unit = e1 | unit = e0
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (22439), (22440), (22459) are inconsistent by
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | | sub-proof #419.
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | End of split
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | End of split
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | Case 2:
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | (22460) all_58_3 = e1
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | (22461) all_58_2 = e0
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (478), (22461) imply:
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | (22462) all_52_2 = e0
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | SIMP: (22462) implies:
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | (22463) all_52_2 = e0
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (50), (224), (227), (475), (693), (748),
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | (765), (22405), (22420), (22460), (22463) are
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #48.
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | End of split
% 176.58/27.41 | | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | Case 2:
% 176.58/27.41 | | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | (22464) all_58_3 = e2
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | (22465) all_58_1 = e0
% 176.58/27.41 | | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (50), (475), (481), (632), (731), (22276),
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | (22406), (22464), (22465) are inconsistent by
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | sub-proof #256.
% 176.58/27.41 | | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | End of split
% 176.58/27.41 | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | End of split
% 176.58/27.41 | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | End of split
% 176.58/27.41 | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | End of split
% 176.58/27.41 | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | Case 2:
% 176.58/27.41 | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | (22466) all_42_2 = e1
% 176.58/27.41 | | | | | | | | | | | | | | | (22467) op(e0, e1) = all_42_1 & $i(all_42_1) & ( ~
% 176.58/27.41 | | | | | | | | | | | | | | | (all_42_1 = e3) | ( ~ (all_42_0 = e2) & op(e3,
% 176.58/27.41 | | | | | | | | | | | | | | | e0) = all_42_0 & $i(all_42_0)))
% 176.58/27.41 | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | ALPHA: (22467) implies:
% 176.58/27.41 | | | | | | | | | | | | | | | (22468) op(e0, e1) = all_42_1
% 176.58/27.41 | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | COMBINE_EQS: (532), (22466) imply:
% 176.58/27.41 | | | | | | | | | | | | | | | (22469) all_20_2 = e1
% 176.58/27.41 | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | COMBINE_EQS: (582), (22469) imply:
% 176.58/27.41 | | | | | | | | | | | | | | | (22470) all_50_2 = e1
% 176.58/27.41 | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | REDUCE: (606), (22469) imply:
% 176.58/27.41 | | | | | | | | | | | | | | | (22471) ~ (all_61_3 = e1)
% 176.58/27.41 | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | REDUCE: (627), (22469) imply:
% 176.58/27.41 | | | | | | | | | | | | | | | (22472) ~ (all_61_14 = e1)
% 176.58/27.41 | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | REDUCE: (22327), (22469) imply:
% 176.58/27.41 | | | | | | | | | | | | | | | (22473) ~ (all_22_1 = e1)
% 176.58/27.41 | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | REDUCE: (695), (22469) imply:
% 176.58/27.41 | | | | | | | | | | | | | | | (22474) op(e1, e2) = all_65_75
% 176.58/27.41 | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | REDUCE: (697), (22469) imply:
% 176.58/27.41 | | | | | | | | | | | | | | | (22475) op(e1, e0) = all_65_78
% 176.58/27.41 | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | REDUCE: (22352), (22469) imply:
% 176.58/27.41 | | | | | | | | | | | | | | | (22476) op(e2, e1) = all_65_75
% 176.58/27.41 | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | REDUCE: (764), (22469) imply:
% 176.58/27.41 | | | | | | | | | | | | | | | (22477) op(e0, e1) = all_65_78
% 176.58/27.41 | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | REDUCE: (76), (22469) imply:
% 176.58/27.41 | | | | | | | | | | | | | | | (22478) op(e0, e0) = e1
% 176.58/27.41 | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | BETA: splitting (122) gives:
% 176.58/27.41 | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | Case 1:
% 176.58/27.41 | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | (22479) ~ (all_50_2 = e1)
% 176.58/27.41 | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | REDUCE: (22470), (22479) imply:
% 176.58/27.41 | | | | | | | | | | | | | | | | (22480) $false
% 176.58/27.41 | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | CLOSE: (22480) is inconsistent.
% 176.58/27.41 | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | Case 2:
% 176.58/27.41 | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | (22481) op(e0, e1) = all_50_1 & $i(all_50_1) & ( ~
% 176.58/27.41 | | | | | | | | | | | | | | | | (all_50_1 = e2) | ( ~ (all_50_0 = e3) & op(e2,
% 176.58/27.41 | | | | | | | | | | | | | | | | e0) = all_50_0 & $i(all_50_0)))
% 176.58/27.41 | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | ALPHA: (22481) implies:
% 176.58/27.41 | | | | | | | | | | | | | | | | (22482) op(e0, e1) = all_50_1
% 176.58/27.41 | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_11, all_50_1, e1,
% 176.58/27.41 | | | | | | | | | | | | | | | | e0, simplifying with (224), (22482) gives:
% 176.58/27.41 | | | | | | | | | | | | | | | | (22483) all_61_11 = all_50_1
% 176.58/27.41 | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_11, all_65_78, e1,
% 176.58/27.41 | | | | | | | | | | | | | | | | e0, simplifying with (224), (22477) gives:
% 176.58/27.41 | | | | | | | | | | | | | | | | (22484) all_65_78 = all_61_11
% 176.58/27.41 | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_42_1, all_65_78, e1,
% 176.58/27.41 | | | | | | | | | | | | | | | | e0, simplifying with (22468), (22477) gives:
% 176.58/27.41 | | | | | | | | | | | | | | | | (22485) all_65_78 = all_42_1
% 176.58/27.41 | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_14, all_65_78, e0,
% 176.58/27.41 | | | | | | | | | | | | | | | | e1, simplifying with (227), (22475) gives:
% 176.58/27.41 | | | | | | | | | | | | | | | | (22486) all_65_78 = all_61_14
% 176.58/27.41 | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_6, all_65_75, e2,
% 176.58/27.41 | | | | | | | | | | | | | | | | e1, simplifying with (229), (22474) gives:
% 176.58/27.41 | | | | | | | | | | | | | | | | (22487) all_65_75 = all_61_6
% 176.58/27.41 | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_9, all_65_75, e1,
% 176.58/27.41 | | | | | | | | | | | | | | | | e2, simplifying with (232), (22476) gives:
% 176.58/27.41 | | | | | | | | | | | | | | | | (22488) all_65_75 = all_61_9
% 176.58/27.41 | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | COMBINE_EQS: (22487), (22488) imply:
% 176.58/27.41 | | | | | | | | | | | | | | | | (22489) all_61_6 = all_61_9
% 176.58/27.41 | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | COMBINE_EQS: (22485), (22486) imply:
% 176.58/27.41 | | | | | | | | | | | | | | | | (22490) all_61_14 = all_42_1
% 176.58/27.41 | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | SIMP: (22490) implies:
% 176.58/27.41 | | | | | | | | | | | | | | | | (22491) all_61_14 = all_42_1
% 176.58/27.41 | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | COMBINE_EQS: (22484), (22485) imply:
% 176.58/27.41 | | | | | | | | | | | | | | | | (22492) all_61_11 = all_42_1
% 176.58/27.41 | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | SIMP: (22492) implies:
% 176.58/27.41 | | | | | | | | | | | | | | | | (22493) all_61_11 = all_42_1
% 176.58/27.41 | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | COMBINE_EQS: (22483), (22493) imply:
% 176.58/27.41 | | | | | | | | | | | | | | | | (22494) all_50_1 = all_42_1
% 176.58/27.41 | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | COMBINE_EQS: (505), (22491) imply:
% 176.58/27.41 | | | | | | | | | | | | | | | | (22495) all_63_11 = all_42_1
% 176.58/27.41 | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | REDUCE: (206), (22493) imply:
% 176.58/27.41 | | | | | | | | | | | | | | | | (22496) ~ (all_61_3 = all_42_1)
% 176.58/27.41 | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | REDUCE: (22326), (22491) imply:
% 176.58/27.41 | | | | | | | | | | | | | | | | (22497) ~ (all_42_1 = all_22_1)
% 176.58/27.41 | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | REDUCE: (21458), (22491) imply:
% 176.58/27.41 | | | | | | | | | | | | | | | | (22498) ~ (all_42_1 = e3)
% 176.58/27.41 | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | REDUCE: (22472), (22491) imply:
% 176.58/27.41 | | | | | | | | | | | | | | | | (22499) ~ (all_42_1 = e1)
% 176.58/27.41 | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | REDUCE: (672), (22489) imply:
% 176.58/27.41 | | | | | | | | | | | | | | | | (22500) op(all_61_9, e1) = all_65_38
% 176.58/27.41 | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | REDUCE: (21518), (22493) imply:
% 176.58/27.41 | | | | | | | | | | | | | | | | (22501) op(all_42_1, e1) = all_61_3
% 176.58/27.41 | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | REDUCE: (680), (22491) imply:
% 176.58/27.41 | | | | | | | | | | | | | | | | (22502) op(all_42_1, e1) = all_65_46
% 176.58/27.41 | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | REDUCE: (21524), (22489) imply:
% 176.58/27.41 | | | | | | | | | | | | | | | | (22503) op(e1, all_61_9) = all_61_4
% 176.58/27.41 | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | REDUCE: (746), (22493) imply:
% 176.58/27.41 | | | | | | | | | | | | | | | | (22504) op(e1, all_42_1) = all_65_46
% 176.58/27.41 | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | REDUCE: (21525), (22491) imply:
% 176.58/27.41 | | | | | | | | | | | | | | | | (22505) op(e1, all_42_1) = all_61_12
% 176.58/27.41 | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_12, all_65_46,
% 176.58/27.41 | | | | | | | | | | | | | | | | all_42_1, e1, simplifying with (22504), (22505)
% 176.58/27.41 | | | | | | | | | | | | | | | | gives:
% 176.58/27.41 | | | | | | | | | | | | | | | | (22506) all_65_46 = all_61_12
% 176.58/27.41 | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_38, all_61_4,
% 176.58/27.41 | | | | | | | | | | | | | | | | all_61_9, e1, simplifying with (738), (22503)
% 176.58/27.41 | | | | | | | | | | | | | | | | gives:
% 176.58/27.41 | | | | | | | | | | | | | | | | (22507) all_65_38 = all_61_4
% 176.58/27.41 | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_3, all_65_46, e1,
% 176.58/27.41 | | | | | | | | | | | | | | | | all_42_1, simplifying with (22501), (22502) gives:
% 176.58/27.41 | | | | | | | | | | | | | | | | (22508) all_65_46 = all_61_3
% 176.58/27.41 | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_1, all_65_38, e1,
% 176.58/27.41 | | | | | | | | | | | | | | | | all_61_9, simplifying with (21517), (22500) gives:
% 176.58/27.41 | | | | | | | | | | | | | | | | (22509) all_65_38 = all_61_1
% 176.58/27.41 | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | COMBINE_EQS: (22507), (22509) imply:
% 176.58/27.41 | | | | | | | | | | | | | | | | (22510) all_61_1 = all_61_4
% 176.58/27.41 | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | COMBINE_EQS: (22506), (22508) imply:
% 176.58/27.41 | | | | | | | | | | | | | | | | (22511) all_61_3 = all_61_12
% 176.58/27.41 | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | REDUCE: (22496), (22511) imply:
% 176.58/27.41 | | | | | | | | | | | | | | | | (22512) ~ (all_61_12 = all_42_1)
% 176.58/27.41 | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | REDUCE: (22322), (22511) imply:
% 176.58/27.41 | | | | | | | | | | | | | | | | (22513) ~ (all_61_12 = all_22_1)
% 176.58/27.41 | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | REDUCE: (21517), (22510) imply:
% 176.58/27.41 | | | | | | | | | | | | | | | | (22514) op(all_61_9, e1) = all_61_4
% 176.58/27.41 | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | BETA: splitting (161) gives:
% 176.58/27.41 | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | Case 1:
% 176.58/27.41 | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | (22515) ~ (all_58_2 = e2)
% 176.58/27.41 | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | REDUCE: (478), (22515) imply:
% 176.58/27.41 | | | | | | | | | | | | | | | | | (22516) ~ (all_52_2 = e2)
% 176.58/27.41 | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | BETA: splitting (164) gives:
% 176.58/27.41 | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | Case 1:
% 176.58/27.41 | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | (22517) ~ (all_58_1 = e1)
% 176.58/27.41 | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | REDUCE: (481), (22517) imply:
% 176.58/27.41 | | | | | | | | | | | | | | | | | | (22518) ~ (all_52_1 = e1)
% 176.58/27.41 | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | BETA: splitting (158) gives:
% 176.58/27.41 | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | Case 1:
% 176.58/27.41 | | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | (22519) ~ (all_58_3 = e2)
% 176.58/27.41 | | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | REDUCE: (475), (22519) imply:
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | (22520) ~ (all_52_3 = e2)
% 176.58/27.41 | | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | BETA: splitting (165) gives:
% 176.58/27.41 | | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | Case 1:
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | (22521) ~ (all_58_1 = e3)
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | REDUCE: (481), (22521) imply:
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | (22522) ~ (all_52_1 = e3)
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (18), (50), (150), (163), (475), (481),
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | (536), (731), (22293), (22478), (22518), (22520),
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | (22522) are inconsistent by sub-proof #263.
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | Case 2:
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | (22523) all_58_0 = e2
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (484), (22523) imply:
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | (22524) all_52_0 = e2
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | SIMP: (22524) implies:
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | (22525) all_52_0 = e2
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | REDUCE: (714), (22525) imply:
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | (22526) op(e3, e2) = unit
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_4, unit, e2, e3,
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | simplifying with (237), (22526) gives:
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | (22527) all_61_4 = unit
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (488), (22527) imply:
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | (22528) all_63_1 = unit
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | REDUCE: (200), (22527) imply:
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | (22529) ~ (all_61_12 = unit)
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | SIMP: (22529) implies:
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | (22530) ~ (all_61_12 = unit)
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | REDUCE: (22323), (22527) imply:
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | (22531) ~ (all_22_1 = unit)
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | SIMP: (22531) implies:
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | (22532) ~ (all_22_1 = unit)
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | REDUCE: (21499), (22527) imply:
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | (22533) ~ (all_4_1 = unit)
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | SIMP: (22533) implies:
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | (22534) ~ (all_4_1 = unit)
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | REDUCE: (22366), (22527) imply:
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | (22535) ~ (unit = e1)
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | REDUCE: (22281), (22527) imply:
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | (22536) ~ (unit = e0)
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | BETA: splitting (270) gives:
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | (22537) all_63_1 = e3
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (22528), (22537) imply:
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | (22538) unit = e3
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | REDUCE: (21765), (22538) imply:
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | (22539) $false
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | CLOSE: (22539) is inconsistent.
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | (22540) all_63_1 = e2 | all_63_1 = e1 | all_63_1 = e0
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (22540) gives:
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | | (22541) all_63_1 = e2
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (22528), (22541) imply:
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | | (22542) unit = e2
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (22530), (22542) imply:
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | | (22543) ~ (all_61_12 = e2)
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (22532), (22542) imply:
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | | (22544) ~ (all_22_1 = e2)
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (22534), (22542) imply:
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | | (22545) ~ (all_4_1 = e2)
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (258) gives:
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | | | (22546) all_63_13 = e3
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (22319), (22546) imply:
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | | | (22547) all_22_1 = e3
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (22513), (22547) imply:
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | | | (22548) ~ (all_61_12 = e3)
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (263) gives:
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | | | | (22549) all_63_8 = e3
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (21490), (22549) imply:
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | | | | (22550) all_4_1 = e3
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (21508), (22550) imply:
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | | | | (22551) $false
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (22551) is inconsistent.
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | | | | (22552) all_63_8 = e2 | all_63_8 = e1 | all_63_8 = e0
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (268) gives:
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | (22553) all_63_3 = e3
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (491), (22553) imply:
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | (22554) all_61_12 = e3
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (22548), (22554) imply:
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | (22555) $false
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (22555) is inconsistent.
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | (22556) all_63_3 = e2 | all_63_3 = e1 | all_63_3 = e0
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (22556) gives:
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | (22557) all_63_3 = e2
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (491), (22557) imply:
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | (22558) all_61_12 = e2
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (22543), (22558) imply:
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | (22559) $false
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (22559) is inconsistent.
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | (22560) all_63_3 = e1 | all_63_3 = e0
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (22552) gives:
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | (22561) all_63_8 = e2
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (21490), (22545), (22561) are inconsistent by
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #43.
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | (22562) all_63_8 = e1 | all_63_8 = e0
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (22560) gives:
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (22563) all_63_3 = e1
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (491), (22367), (22563) are inconsistent by
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #491.
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (22564) all_63_3 = e0
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (491), (22564) imply:
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (22565) all_61_12 = e0
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (22565) implies:
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (22566) all_61_12 = e0
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (21505), (22566) imply:
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (22567) ~ (all_4_1 = e0)
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (22567) implies:
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (22568) ~ (all_4_1 = e0)
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (21490), (22369), (22562), (22568) are
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #47.
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | | | (22569) all_63_13 = e2 | all_63_13 = e1 | all_63_13 = e0
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (22319), (22328), (22473), (22544), (22569) are
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #415.
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | | (22570) all_63_1 = e1 | all_63_1 = e0
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (22528), (22535), (22536), (22570) are
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #231.
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | End of split
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | End of split
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | End of split
% 176.58/27.41 | | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | Case 2:
% 176.58/27.41 | | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | (22571) all_58_1 = e0
% 176.58/27.41 | | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (481), (22571) imply:
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | (22572) all_52_1 = e0
% 176.58/27.41 | | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | SIMP: (22572) implies:
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | (22573) all_52_1 = e0
% 176.58/27.41 | | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | REDUCE: (731), (22573) imply:
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | (22574) op(e2, e0) = unit
% 176.58/27.41 | | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_22_1, unit, e0, e2,
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | simplifying with (22276), (22574) gives:
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | (22575) all_22_1 = unit
% 176.58/27.41 | | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (22320), (22575) imply:
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | (22576) all_63_7 = unit
% 176.58/27.41 | | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | REDUCE: (22323), (22575) imply:
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | (22577) ~ (all_61_4 = unit)
% 176.58/27.41 | | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | REDUCE: (22513), (22575) imply:
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | (22578) ~ (all_61_12 = unit)
% 176.58/27.41 | | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | REDUCE: (22497), (22575) imply:
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | (22579) ~ (all_42_1 = unit)
% 176.58/27.41 | | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | REDUCE: (22473), (22575) imply:
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | (22580) ~ (unit = e1)
% 176.58/27.41 | | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | REDUCE: (22328), (22575) imply:
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | (22581) ~ (unit = e0)
% 176.58/27.41 | | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | BETA: splitting (264) gives:
% 176.58/27.41 | | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | Case 1:
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | (22582) all_63_7 = e3
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (22576), (22582) imply:
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | (22583) unit = e3
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | REDUCE: (21765), (22583) imply:
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | (22584) $false
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | CLOSE: (22584) is inconsistent.
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | Case 2:
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | (22585) all_63_7 = e2 | all_63_7 = e1 | all_63_7 = e0
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | BETA: splitting (22585) gives:
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | (22586) all_63_7 = e2
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (22576), (22586) imply:
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | (22587) unit = e2
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | REDUCE: (22577), (22587) imply:
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | (22588) ~ (all_61_4 = e2)
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | REDUCE: (22578), (22587) imply:
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | (22589) ~ (all_61_12 = e2)
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | REDUCE: (22579), (22587) imply:
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | (22590) ~ (all_42_1 = e2)
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (270) gives:
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | | (22591) all_63_1 = e3
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.41 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (488), (22591) imply:
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | | (22592) all_61_4 = e3
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (200), (22592) imply:
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | | (22593) ~ (all_61_12 = e3)
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | | SIMP: (22593) implies:
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | | (22594) ~ (all_61_12 = e3)
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (268) gives:
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | | | (22595) all_63_3 = e3
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (491), (22595) imply:
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | | | (22596) all_61_12 = e3
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (22594), (22596) imply:
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | | | (22597) $false
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (22597) is inconsistent.
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | | | (22598) all_63_3 = e2 | all_63_3 = e1 | all_63_3 = e0
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (22598) gives:
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | | | | (22599) all_63_3 = e2
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (491), (22599) imply:
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | | | | (22600) all_61_12 = e2
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (22589), (22600) imply:
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | | | | (22601) $false
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (22601) is inconsistent.
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | | | | (22602) all_63_3 = e1 | all_63_3 = e0
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (22602) gives:
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | (22603) all_63_3 = e1
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (491), (22367), (22603) are inconsistent by
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #491.
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | (22604) all_63_3 = e0
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (491), (22604) imply:
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | (22605) all_61_12 = e0
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (22605) implies:
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | (22606) all_61_12 = e0
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (22512), (22606) imply:
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | (22607) ~ (all_42_1 = e0)
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (22607) implies:
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | (22608) ~ (all_42_1 = e0)
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (260), (22495), (22498), (22499), (22590), (22608)
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #449.
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | | (22609) all_63_1 = e2 | all_63_1 = e1 | all_63_1 = e0
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (488), (22281), (22366), (22588), (22609) are
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #485.
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | End of split
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | (22610) ~ (all_63_7 = e2)
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | REDUCE: (22576), (22610) imply:
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | (22611) ~ (unit = e2)
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (21766), (22580), (22581), (22611) are
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #398.
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | End of split
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | End of split
% 176.58/27.42 | | | | | | | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | | | | | | End of split
% 176.58/27.42 | | | | | | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | | | | | Case 2:
% 176.58/27.42 | | | | | | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | | | | | | (22612) all_58_2 = e2
% 176.58/27.42 | | | | | | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | | | | | | REF_CLOSE: (478), (22516), (22612) are inconsistent by
% 176.58/27.42 | | | | | | | | | | | | | | | | | | sub-proof #433.
% 176.58/27.42 | | | | | | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | | | | | End of split
% 176.58/27.42 | | | | | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | | | | Case 2:
% 176.58/27.42 | | | | | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | | | | | (22613) all_58_1 = e1
% 176.58/27.42 | | | | | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | | | | | COMBINE_EQS: (481), (22613) imply:
% 176.58/27.42 | | | | | | | | | | | | | | | | | (22614) all_52_1 = e1
% 176.58/27.42 | | | | | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | | | | | SIMP: (22614) implies:
% 176.58/27.42 | | | | | | | | | | | | | | | | | (22615) all_52_1 = e1
% 176.58/27.42 | | | | | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | | | | | REDUCE: (731), (22615) imply:
% 176.58/27.42 | | | | | | | | | | | | | | | | | (22616) op(e2, e1) = unit
% 176.58/27.42 | | | | | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_9, unit, e1, e2,
% 176.58/27.42 | | | | | | | | | | | | | | | | | simplifying with (232), (22616) gives:
% 176.58/27.42 | | | | | | | | | | | | | | | | | (22617) all_61_9 = unit
% 176.58/27.42 | | | | | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | | | | | REDUCE: (22514), (22617) imply:
% 176.58/27.42 | | | | | | | | | | | | | | | | | (22618) op(unit, e1) = all_61_4
% 176.58/27.42 | | | | | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e1, all_61_4, e1, unit,
% 176.58/27.42 | | | | | | | | | | | | | | | | | simplifying with (8), (22618) gives:
% 176.58/27.42 | | | | | | | | | | | | | | | | | (22619) all_61_4 = e1
% 176.58/27.42 | | | | | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | | | | | REDUCE: (22366), (22619) imply:
% 176.58/27.42 | | | | | | | | | | | | | | | | | (22620) $false
% 176.58/27.42 | | | | | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | | | | | CLOSE: (22620) is inconsistent.
% 176.58/27.42 | | | | | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | | | | End of split
% 176.58/27.42 | | | | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | | | End of split
% 176.58/27.42 | | | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | | End of split
% 176.58/27.42 | | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | End of split
% 176.58/27.42 | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | End of split
% 176.58/27.42 | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | Case 2:
% 176.58/27.42 | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | (22621) all_36_2 = e0
% 176.58/27.42 | | | | | | | | | | | | (22622) op(e3, e0) = all_36_1 & $i(all_36_1) & ( ~
% 176.58/27.42 | | | | | | | | | | | | (all_36_1 = e2) | ( ~ (all_36_0 = e1) & op(e2,
% 176.58/27.42 | | | | | | | | | | | | e3) = all_36_0 & $i(all_36_0)))
% 176.58/27.42 | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | ALPHA: (22622) implies:
% 176.58/27.42 | | | | | | | | | | | | (22623) op(e3, e0) = all_36_1
% 176.58/27.42 | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | COMBINE_EQS: (557), (22621) imply:
% 176.58/27.42 | | | | | | | | | | | | (22624) all_14_2 = e0
% 176.58/27.42 | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | SIMP: (22624) implies:
% 176.58/27.42 | | | | | | | | | | | | (22625) all_14_2 = e0
% 176.58/27.42 | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | COMBINE_EQS: (549), (22625) imply:
% 176.58/27.42 | | | | | | | | | | | | (22626) all_44_2 = e0
% 176.58/27.42 | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | REDUCE: (634), (22625) imply:
% 176.58/27.42 | | | | | | | | | | | | (22627) op(e0, e3) = all_65_0
% 176.58/27.42 | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | REDUCE: (21538), (22625) imply:
% 176.58/27.42 | | | | | | | | | | | | (22628) op(e0, e1) = all_65_32
% 176.58/27.42 | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | REDUCE: (637), (22625) imply:
% 176.58/27.42 | | | | | | | | | | | | (22629) op(e0, e0) = all_65_3
% 176.58/27.42 | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | REDUCE: (21515), (22625) imply:
% 176.58/27.42 | | | | | | | | | | | | (22630) op(all_4_1, e1) = e0
% 176.58/27.42 | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | REDUCE: (698), (22625) imply:
% 176.58/27.42 | | | | | | | | | | | | (22631) op(e3, e0) = all_65_0
% 176.58/27.42 | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | REDUCE: (67), (22625) imply:
% 176.58/27.42 | | | | | | | | | | | | (22632) op(e3, e3) = e0
% 176.58/27.42 | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | REDUCE: (715), (22625) imply:
% 176.58/27.42 | | | | | | | | | | | | (22633) op(e2, e0) = all_65_16
% 176.58/27.42 | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | REDUCE: (732), (22625) imply:
% 176.58/27.42 | | | | | | | | | | | | (22634) op(e1, e0) = all_65_32
% 176.58/27.42 | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | REDUCE: (749), (22625) imply:
% 176.58/27.42 | | | | | | | | | | | | (22635) op(e0, e0) = all_65_49
% 176.58/27.42 | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | BETA: splitting (113) gives:
% 176.58/27.42 | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | Case 1:
% 176.58/27.42 | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | (22636) ~ (all_44_2 = e0)
% 176.58/27.42 | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | REDUCE: (22626), (22636) imply:
% 176.58/27.42 | | | | | | | | | | | | | (22637) $false
% 176.58/27.42 | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | CLOSE: (22637) is inconsistent.
% 176.58/27.42 | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | Case 2:
% 176.58/27.42 | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | (22638) op(e3, e0) = all_44_1 & $i(all_44_1) & ( ~
% 176.58/27.42 | | | | | | | | | | | | | (all_44_1 = e1) | ( ~ (all_44_0 = e2) & op(e1,
% 176.58/27.42 | | | | | | | | | | | | | e3) = all_44_0 & $i(all_44_0)))
% 176.58/27.42 | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | ALPHA: (22638) implies:
% 176.58/27.42 | | | | | | | | | | | | | (22639) op(e3, e0) = all_44_1
% 176.58/27.42 | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_20_2, all_65_3, e0,
% 176.58/27.42 | | | | | | | | | | | | | e0, simplifying with (76), (22629) gives:
% 176.58/27.42 | | | | | | | | | | | | | (22640) all_65_3 = all_20_2
% 176.58/27.42 | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_49, all_65_3, e0,
% 176.58/27.42 | | | | | | | | | | | | | e0, simplifying with (22629), (22635) gives:
% 176.58/27.42 | | | | | | | | | | | | | (22641) all_65_3 = all_65_49
% 176.58/27.42 | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_11, all_65_32, e1,
% 176.58/27.42 | | | | | | | | | | | | | e0, simplifying with (224), (22628) gives:
% 176.58/27.42 | | | | | | | | | | | | | (22642) all_65_32 = all_61_11
% 176.58/27.42 | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_3, all_65_0, e3,
% 176.58/27.42 | | | | | | | | | | | | | e0, simplifying with (226), (22627) gives:
% 176.58/27.42 | | | | | | | | | | | | | (22643) all_65_0 = all_61_3
% 176.58/27.42 | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_14, all_65_32, e0,
% 176.58/27.42 | | | | | | | | | | | | | e1, simplifying with (227), (22634) gives:
% 176.58/27.42 | | | | | | | | | | | | | (22644) all_65_32 = all_61_14
% 176.58/27.42 | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_22_1, all_65_16, e0,
% 176.58/27.42 | | | | | | | | | | | | | e2, simplifying with (22276), (22633) gives:
% 176.58/27.42 | | | | | | | | | | | | | (22645) all_65_16 = all_22_1
% 176.58/27.42 | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_12, all_44_1, e0,
% 176.58/27.42 | | | | | | | | | | | | | e3, simplifying with (235), (22639) gives:
% 176.58/27.42 | | | | | | | | | | | | | (22646) all_61_12 = all_44_1
% 176.58/27.42 | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_12, all_65_0, e0,
% 176.58/27.42 | | | | | | | | | | | | | e3, simplifying with (235), (22631) gives:
% 176.58/27.42 | | | | | | | | | | | | | (22647) all_65_0 = all_61_12
% 176.58/27.42 | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_36_1, all_65_0, e0,
% 176.58/27.42 | | | | | | | | | | | | | e3, simplifying with (22623), (22631) gives:
% 176.58/27.42 | | | | | | | | | | | | | (22648) all_65_0 = all_36_1
% 176.58/27.42 | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | COMBINE_EQS: (22647), (22648) imply:
% 176.58/27.42 | | | | | | | | | | | | | (22649) all_61_12 = all_36_1
% 176.58/27.42 | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | SIMP: (22649) implies:
% 176.58/27.42 | | | | | | | | | | | | | (22650) all_61_12 = all_36_1
% 176.58/27.42 | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | COMBINE_EQS: (22643), (22648) imply:
% 176.58/27.42 | | | | | | | | | | | | | (22651) all_61_3 = all_36_1
% 176.58/27.42 | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | SIMP: (22651) implies:
% 176.58/27.42 | | | | | | | | | | | | | (22652) all_61_3 = all_36_1
% 176.58/27.42 | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | COMBINE_EQS: (22640), (22641) imply:
% 176.58/27.42 | | | | | | | | | | | | | (22653) all_65_49 = all_20_2
% 176.58/27.42 | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | COMBINE_EQS: (22642), (22644) imply:
% 176.58/27.42 | | | | | | | | | | | | | (22654) all_61_11 = all_61_14
% 176.58/27.42 | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | COMBINE_EQS: (22646), (22650) imply:
% 176.58/27.42 | | | | | | | | | | | | | (22655) all_44_1 = all_36_1
% 176.58/27.42 | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | REDUCE: (185), (22654) imply:
% 176.58/27.42 | | | | | | | | | | | | | (22656) ~ (all_61_9 = all_61_14)
% 176.58/27.42 | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | REDUCE: (685), (22652) imply:
% 176.58/27.42 | | | | | | | | | | | | | (22657) op(all_36_1, e0) = all_65_55
% 176.58/27.42 | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | REDUCE: (691), (22654) imply:
% 176.58/27.42 | | | | | | | | | | | | | (22658) op(all_61_14, e2) = all_65_67
% 176.58/27.42 | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | REDUCE: (693), (22654) imply:
% 176.58/27.42 | | | | | | | | | | | | | (22659) op(all_61_14, e0) = all_65_71
% 176.58/27.42 | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | REDUCE: (649), (22650) imply:
% 176.58/27.42 | | | | | | | | | | | | | (22660) op(all_36_1, e0) = all_65_15
% 176.58/27.42 | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | REDUCE: (22351), (22654) imply:
% 176.58/27.42 | | | | | | | | | | | | | (22661) op(e2, all_61_14) = all_65_61
% 176.58/27.42 | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | REDUCE: (761), (22652) imply:
% 176.58/27.42 | | | | | | | | | | | | | (22662) op(e0, all_36_1) = all_65_73
% 176.58/27.42 | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | REDUCE: (763), (22654) imply:
% 176.58/27.42 | | | | | | | | | | | | | (22663) op(e0, all_61_14) = all_65_77
% 176.58/27.42 | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | REDUCE: (752), (22650) imply:
% 176.58/27.42 | | | | | | | | | | | | | (22664) op(e0, all_36_1) = all_65_55
% 176.58/27.42 | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_73, all_65_55,
% 176.58/27.42 | | | | | | | | | | | | | all_36_1, e0, simplifying with (22662), (22664)
% 176.58/27.42 | | | | | | | | | | | | | gives:
% 176.58/27.42 | | | | | | | | | | | | | (22665) all_65_55 = all_65_73
% 176.58/27.42 | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_71, all_65_77,
% 176.58/27.42 | | | | | | | | | | | | | all_61_14, e0, simplifying with (760), (22663)
% 176.58/27.42 | | | | | | | | | | | | | gives:
% 176.58/27.42 | | | | | | | | | | | | | (22666) all_65_71 = all_65_77
% 176.58/27.42 | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_27, all_65_61,
% 176.58/27.42 | | | | | | | | | | | | | all_61_14, e2, simplifying with (726), (22661)
% 176.58/27.42 | | | | | | | | | | | | | gives:
% 176.58/27.42 | | | | | | | | | | | | | (22667) all_65_27 = all_65_61
% 176.58/27.42 | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_55, all_65_15, e0,
% 176.58/27.42 | | | | | | | | | | | | | all_36_1, simplifying with (22657), (22660) gives:
% 176.58/27.42 | | | | | | | | | | | | | (22668) all_65_15 = all_65_55
% 176.58/27.42 | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_47, all_65_71, e0,
% 176.58/27.42 | | | | | | | | | | | | | all_61_14, simplifying with (681), (22659) gives:
% 176.58/27.42 | | | | | | | | | | | | | (22669) all_65_47 = all_65_71
% 176.58/27.42 | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_45, all_65_67, e2,
% 176.58/27.42 | | | | | | | | | | | | | all_61_14, simplifying with (679), (22658) gives:
% 176.58/27.42 | | | | | | | | | | | | | (22670) all_65_45 = all_65_67
% 176.58/27.42 | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | COMBINE_EQS: (22666), (22669) imply:
% 176.58/27.42 | | | | | | | | | | | | | (22671) all_65_47 = all_65_77
% 176.58/27.42 | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | COMBINE_EQS: (22665), (22668) imply:
% 176.58/27.42 | | | | | | | | | | | | | (22672) all_65_15 = all_65_73
% 176.58/27.42 | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | REDUCE: (22349), (22670) imply:
% 176.58/27.42 | | | | | | | | | | | | | (22673) op(all_61_6, e0) = all_65_67
% 176.58/27.42 | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | REDUCE: (661), (22667) imply:
% 176.58/27.42 | | | | | | | | | | | | | (22674) op(all_61_9, e0) = all_65_61
% 176.58/27.42 | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | REDUCE: (22659), (22666) imply:
% 176.58/27.42 | | | | | | | | | | | | | (22675) op(all_61_14, e0) = all_65_77
% 176.58/27.42 | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | REDUCE: (713), (22672) imply:
% 176.58/27.42 | | | | | | | | | | | | | (22676) op(e3, all_20_2) = all_65_73
% 176.58/27.42 | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | REDUCE: (747), (22671) imply:
% 176.58/27.42 | | | | | | | | | | | | | (22677) op(e1, all_20_2) = all_65_77
% 176.58/27.42 | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | BETA: splitting (110) gives:
% 176.58/27.42 | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | Case 1:
% 176.58/27.42 | | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | | (22678) ~ (all_42_2 = e1)
% 176.58/27.42 | | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | | REDUCE: (532), (22678) imply:
% 176.58/27.42 | | | | | | | | | | | | | | (22679) ~ (all_20_2 = e1)
% 176.58/27.42 | | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | | BETA: splitting (256) gives:
% 176.58/27.42 | | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | | Case 1:
% 176.58/27.42 | | | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | | | (22680) all_63_15 = e3
% 176.58/27.42 | | | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | | | REF_CLOSE: (422), (22354), (22680) are inconsistent by
% 176.58/27.42 | | | | | | | | | | | | | | | sub-proof #501.
% 176.58/27.42 | | | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | | Case 2:
% 176.58/27.42 | | | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | | | (22681) all_63_15 = e2 | all_63_15 = e1 | all_63_15 = e0
% 176.58/27.42 | | | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | | | BETA: splitting (22681) gives:
% 176.58/27.42 | | | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | | | Case 1:
% 176.58/27.42 | | | | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | | | | (22682) all_63_15 = e2
% 176.58/27.42 | | | | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | | | | REF_CLOSE: (422), (21770), (22682) are inconsistent by
% 176.58/27.42 | | | | | | | | | | | | | | | | sub-proof #500.
% 176.58/27.42 | | | | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | | | Case 2:
% 176.58/27.42 | | | | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | | | | (22683) all_63_15 = e1 | all_63_15 = e0
% 176.58/27.42 | | | | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | | | | BETA: splitting (22683) gives:
% 176.58/27.42 | | | | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | | | | Case 1:
% 176.58/27.42 | | | | | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | | | | | (22684) all_63_15 = e1
% 176.58/27.42 | | | | | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | | | | | REF_CLOSE: (422), (22679), (22684) are inconsistent by
% 176.58/27.42 | | | | | | | | | | | | | | | | | sub-proof #499.
% 176.58/27.42 | | | | | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | | | | Case 2:
% 176.58/27.42 | | | | | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | | | | | (22685) all_63_15 = e0
% 176.58/27.42 | | | | | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | | | | | COMBINE_EQS: (422), (22685) imply:
% 176.58/27.42 | | | | | | | | | | | | | | | | | (22686) all_20_2 = e0
% 176.58/27.42 | | | | | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | | | | | SIMP: (22686) implies:
% 176.58/27.42 | | | | | | | | | | | | | | | | | (22687) all_20_2 = e0
% 176.58/27.42 | | | | | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | | | | | REDUCE: (627), (22687) imply:
% 176.58/27.42 | | | | | | | | | | | | | | | | | (22688) ~ (all_61_14 = e0)
% 176.58/27.42 | | | | | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | | | | | REDUCE: (22331), (22687) imply:
% 176.58/27.42 | | | | | | | | | | | | | | | | | (22689) op(all_22_1, e2) = e0
% 176.58/27.42 | | | | | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | | | | | REDUCE: (22352), (22687) imply:
% 176.58/27.42 | | | | | | | | | | | | | | | | | (22690) op(e2, e0) = all_65_75
% 176.58/27.42 | | | | | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | | | | | REDUCE: (22677), (22687) imply:
% 176.58/27.42 | | | | | | | | | | | | | | | | | (22691) op(e1, e0) = all_65_77
% 176.58/27.42 | | | | | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | | | | | REDUCE: (764), (22687) imply:
% 176.58/27.42 | | | | | | | | | | | | | | | | | (22692) op(e0, e0) = all_65_78
% 176.58/27.42 | | | | | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | | | | | REDUCE: (76), (22687) imply:
% 176.58/27.42 | | | | | | | | | | | | | | | | | (22693) op(e0, e0) = e0
% 176.58/27.42 | | | | | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | | | | | BETA: splitting (170) gives:
% 176.58/27.42 | | | | | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | | | | | Case 1:
% 176.58/27.42 | | | | | | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | | | | | | (22694) ( ~ (all_60_0 = e0) & op(e3, e3) = all_60_0 &
% 176.58/27.42 | | | | | | | | | | | | | | | | | | $i(all_60_0)) | ( ~ (all_60_1 = e0) & op(e2, e2)
% 176.58/27.42 | | | | | | | | | | | | | | | | | | = all_60_1 & $i(all_60_1))
% 176.58/27.42 | | | | | | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | | | | | | REF_CLOSE: (50), (22293), (22632), (22694) are inconsistent
% 176.58/27.42 | | | | | | | | | | | | | | | | | | by sub-proof #151.
% 176.58/27.42 | | | | | | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | | | | | Case 2:
% 176.58/27.42 | | | | | | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | | | | | | (22695) ( ~ (all_60_2 = e0) & op(e1, e1) = all_60_2 &
% 176.58/27.42 | | | | | | | | | | | | | | | | | | $i(all_60_2)) | ( ~ (all_60_3 = e0) & op(e0, e0)
% 176.58/27.42 | | | | | | | | | | | | | | | | | | = all_60_3 & $i(all_60_3))
% 176.58/27.42 | | | | | | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | | | | | | BETA: splitting (22695) gives:
% 176.58/27.42 | | | | | | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | | | | | | Case 1:
% 176.58/27.42 | | | | | | | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | (22696) ~ (all_60_2 = e0) & op(e1, e1) = all_60_2 &
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | $i(all_60_2)
% 176.58/27.42 | | | | | | | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | ALPHA: (22696) implies:
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | (22697) op(e1, e1) = all_60_2
% 176.58/27.42 | | | | | | | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e0, all_65_78, e0, e0,
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | simplifying with (22692), (22693) gives:
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | (22698) all_65_78 = e0
% 176.58/27.42 | | | | | | | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_14, all_65_77, e0,
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | e1, simplifying with (227), (22691) gives:
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | (22699) all_65_77 = all_61_14
% 176.58/27.42 | | | | | | | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e3, all_60_2, e1, e1,
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | simplifying with (21466), (22697) gives:
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | (22700) all_60_2 = e3
% 176.58/27.42 | | | | | | | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_22_1, all_65_75, e0,
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | e2, simplifying with (22276), (22690) gives:
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | (22701) all_65_75 = all_22_1
% 176.58/27.42 | | | | | | | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | REDUCE: (22675), (22699) imply:
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | (22702) op(all_61_14, e0) = all_61_14
% 176.58/27.42 | | | | | | | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | BETA: splitting (157) gives:
% 176.58/27.42 | | | | | | | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | Case 1:
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | (22703) ~ (all_58_3 = e1)
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | REDUCE: (475), (22703) imply:
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | (22704) ~ (all_52_3 = e1)
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | BETA: splitting (158) gives:
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | (22705) ~ (all_58_3 = e2)
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | REDUCE: (475), (22705) imply:
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | (22706) ~ (all_52_3 = e2)
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (163) gives:
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | | (22707) ~ (all_58_1 = e0)
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (481), (22707) imply:
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | | (22708) ~ (all_52_1 = e0)
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (161) gives:
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | | | (22709) ~ (all_58_2 = e2)
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (478), (22709) imply:
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | | | (22710) ~ (all_52_2 = e2)
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (50), (148), (149), (158), (159), (227),
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | | | (265), (475), (481), (484), (497), (538), (539),
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | | | (629), (633), (748), (765), (21456), (21466),
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | | | (21765), (22276), (22283), (22324), (22656),
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | | | (22693), (22704), (22708), (22710) are
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #32.
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | | | (22711) all_58_2 = e2
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | | | (22712) all_58_1 = e1
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (481), (22712) imply:
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | | | (22713) all_52_1 = e1
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (22713) implies:
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | | | (22714) all_52_1 = e1
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (478), (22711) imply:
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | | | (22715) all_52_2 = e2
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (731), (22714) imply:
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | | | (22716) op(e2, e1) = unit
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (748), (22715) imply:
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | | | (22717) op(e1, e2) = unit
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_6, unit, e2, e1,
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (229), (22717) gives:
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | | | (22718) all_61_6 = unit
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_9, unit, e1, e2,
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (232), (22716) gives:
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | | | (22719) all_61_9 = unit
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (203), (22718) imply:
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | | | (22720) ~ (all_61_4 = unit)
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (22656), (22719) imply:
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | | | (22721) ~ (all_61_14 = unit)
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (22721) implies:
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | | | (22722) ~ (all_61_14 = unit)
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (22283), (22719) imply:
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | | | (22723) ~ (unit = e0)
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (22329), (22718) imply:
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | | | (22724) op(unit, e2) = all_61_14
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (672), (22718) imply:
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | | | (22725) op(unit, e1) = all_65_38
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (659), (22719) imply:
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | | | (22726) op(unit, e2) = all_65_25
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (21517), (22719) imply:
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | | | (22727) op(unit, e1) = all_61_1
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (21524), (22718) imply:
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | | | (22728) op(e1, unit) = all_61_4
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (738), (22719) imply:
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | | | (22729) op(e1, unit) = all_65_38
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_4, all_65_38, unit,
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | | | e1, simplifying with (22728), (22729) gives:
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | | | (22730) all_65_38 = all_61_4
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e1, all_61_1, e1, unit,
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (8), (22727) gives:
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | | | (22731) all_61_1 = e1
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_1, all_65_38, e1,
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | | | unit, simplifying with (22725), (22727) gives:
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | | | (22732) all_65_38 = all_61_1
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e2, all_65_25, e2, unit,
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (9), (22726) gives:
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | | | (22733) all_65_25 = e2
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_14, all_65_25, e2,
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | | | unit, simplifying with (22724), (22726) gives:
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | | | (22734) all_65_25 = all_61_14
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (22733), (22734) imply:
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | | | (22735) all_61_14 = e2
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (22735) implies:
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | | | (22736) all_61_14 = e2
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (22730), (22732) imply:
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | | | (22737) all_61_1 = all_61_4
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (22737) implies:
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | | | (22738) all_61_1 = all_61_4
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (22731), (22738) imply:
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | | | (22739) all_61_4 = e1
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (22739) implies:
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | | | (22740) all_61_4 = e1
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (21766), (22720), (22722), (22723), (22736),
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | | | (22740) are inconsistent by sub-proof #31.
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | | (22741) all_58_3 = e2
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (475), (22706), (22741) are inconsistent by
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | | sub-proof #459.
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | End of split
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | (22742) all_58_3 = e2
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | (22743) all_58_1 = e0
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (50), (475), (481), (632), (731), (22276),
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | (22689), (22742), (22743) are inconsistent by
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | | sub-proof #256.
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | End of split
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | Case 2:
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | (22744) all_58_3 = e1
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | (22745) all_58_2 = e0
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (478), (22745) imply:
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | (22746) all_52_2 = e0
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | SIMP: (22746) implies:
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | (22747) all_52_2 = e0
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (50), (224), (227), (475), (693), (748),
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | (765), (22688), (22702), (22744), (22747) are
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #48.
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | End of split
% 176.58/27.42 | | | | | | | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | | | | | | Case 2:
% 176.58/27.42 | | | | | | | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | (22748) ~ (all_60_3 = e0) & op(e0, e0) = all_60_3 &
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | $i(all_60_3)
% 176.58/27.42 | | | | | | | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (50), (22692), (22693), (22748) are inconsistent
% 176.58/27.42 | | | | | | | | | | | | | | | | | | | by sub-proof #156.
% 176.58/27.42 | | | | | | | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | | | | | | End of split
% 176.58/27.42 | | | | | | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | | | | | End of split
% 176.58/27.42 | | | | | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | | | | End of split
% 176.58/27.42 | | | | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | | | End of split
% 176.58/27.42 | | | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | | End of split
% 176.58/27.42 | | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | Case 2:
% 176.58/27.42 | | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | | (22749) all_42_2 = e1
% 176.58/27.42 | | | | | | | | | | | | | | (22750) op(e0, e1) = all_42_1 & $i(all_42_1) & ( ~
% 176.58/27.42 | | | | | | | | | | | | | | (all_42_1 = e3) | ( ~ (all_42_0 = e2) & op(e3,
% 176.58/27.42 | | | | | | | | | | | | | | e0) = all_42_0 & $i(all_42_0)))
% 176.58/27.42 | | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | | ALPHA: (22750) implies:
% 176.58/27.42 | | | | | | | | | | | | | | (22751) op(e0, e1) = all_42_1
% 176.58/27.42 | | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | | COMBINE_EQS: (532), (22749) imply:
% 176.58/27.42 | | | | | | | | | | | | | | (22752) all_20_2 = e1
% 176.58/27.42 | | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | | SIMP: (22752) implies:
% 176.58/27.42 | | | | | | | | | | | | | | (22753) all_20_2 = e1
% 176.58/27.42 | | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | | COMBINE_EQS: (582), (22753) imply:
% 176.58/27.42 | | | | | | | | | | | | | | (22754) all_50_2 = e1
% 176.58/27.42 | | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | | REDUCE: (695), (22753) imply:
% 176.58/27.42 | | | | | | | | | | | | | | (22755) op(e1, e2) = all_65_75
% 176.58/27.42 | | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | | REDUCE: (697), (22753) imply:
% 176.58/27.42 | | | | | | | | | | | | | | (22756) op(e1, e0) = all_65_78
% 176.58/27.42 | | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | | REDUCE: (22676), (22753) imply:
% 176.58/27.42 | | | | | | | | | | | | | | (22757) op(e3, e1) = all_65_73
% 176.58/27.42 | | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | | REDUCE: (22352), (22753) imply:
% 176.58/27.42 | | | | | | | | | | | | | | (22758) op(e2, e1) = all_65_75
% 176.58/27.42 | | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | | REDUCE: (22677), (22753) imply:
% 176.58/27.42 | | | | | | | | | | | | | | (22759) op(e1, e1) = all_65_77
% 176.58/27.42 | | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | | REDUCE: (764), (22753) imply:
% 176.58/27.42 | | | | | | | | | | | | | | (22760) op(e0, e1) = all_65_78
% 176.58/27.42 | | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | | BETA: splitting (122) gives:
% 176.58/27.42 | | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | | Case 1:
% 176.58/27.42 | | | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | | | (22761) ~ (all_50_2 = e1)
% 176.58/27.42 | | | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | | | REDUCE: (22754), (22761) imply:
% 176.58/27.42 | | | | | | | | | | | | | | | (22762) $false
% 176.58/27.42 | | | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | | | CLOSE: (22762) is inconsistent.
% 176.58/27.42 | | | | | | | | | | | | | | |
% 176.58/27.42 | | | | | | | | | | | | | | Case 2:
% 176.58/27.42 | | | | | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | | | | | (22763) op(e0, e1) = all_50_1 & $i(all_50_1) & ( ~
% 176.58/27.43 | | | | | | | | | | | | | | | (all_50_1 = e2) | ( ~ (all_50_0 = e3) & op(e2,
% 176.58/27.43 | | | | | | | | | | | | | | | e0) = all_50_0 & $i(all_50_0)))
% 176.58/27.43 | | | | | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | | | | | ALPHA: (22763) implies:
% 176.58/27.43 | | | | | | | | | | | | | | | (22764) op(e0, e1) = all_50_1
% 176.58/27.43 | | | | | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_50_1, all_65_78, e1,
% 176.58/27.43 | | | | | | | | | | | | | | | e0, simplifying with (22760), (22764) gives:
% 176.58/27.43 | | | | | | | | | | | | | | | (22765) all_65_78 = all_50_1
% 176.58/27.43 | | | | | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_42_1, all_65_78, e1,
% 176.58/27.43 | | | | | | | | | | | | | | | e0, simplifying with (22751), (22760) gives:
% 176.58/27.43 | | | | | | | | | | | | | | | (22766) all_65_78 = all_42_1
% 176.58/27.43 | | | | | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_14, all_65_78, e0,
% 176.58/27.43 | | | | | | | | | | | | | | | e1, simplifying with (227), (22756) gives:
% 176.58/27.43 | | | | | | | | | | | | | | | (22767) all_65_78 = all_61_14
% 176.58/27.43 | | | | | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e3, all_65_77, e1, e1,
% 176.58/27.43 | | | | | | | | | | | | | | | simplifying with (21466), (22759) gives:
% 176.58/27.43 | | | | | | | | | | | | | | | (22768) all_65_77 = e3
% 176.58/27.43 | | | | | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_6, all_65_75, e2,
% 176.58/27.43 | | | | | | | | | | | | | | | e1, simplifying with (229), (22755) gives:
% 176.58/27.43 | | | | | | | | | | | | | | | (22769) all_65_75 = all_61_6
% 176.58/27.43 | | | | | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_9, all_65_75, e1,
% 176.58/27.43 | | | | | | | | | | | | | | | e2, simplifying with (232), (22758) gives:
% 176.58/27.43 | | | | | | | | | | | | | | | (22770) all_65_75 = all_61_9
% 176.58/27.43 | | | | | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_4_1, all_65_73, e1,
% 176.58/27.43 | | | | | | | | | | | | | | | e3, simplifying with (21521), (22757) gives:
% 176.58/27.43 | | | | | | | | | | | | | | | (22771) all_65_73 = all_4_1
% 176.58/27.43 | | | | | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | | | | | COMBINE_EQS: (22769), (22770) imply:
% 176.58/27.43 | | | | | | | | | | | | | | | (22772) all_61_6 = all_61_9
% 176.58/27.43 | | | | | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | | | | | SIMP: (22772) implies:
% 176.58/27.43 | | | | | | | | | | | | | | | (22773) all_61_6 = all_61_9
% 176.58/27.43 | | | | | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | | | | | COMBINE_EQS: (22766), (22767) imply:
% 176.58/27.43 | | | | | | | | | | | | | | | (22774) all_61_14 = all_42_1
% 176.58/27.43 | | | | | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | | | | | COMBINE_EQS: (22765), (22767) imply:
% 176.58/27.43 | | | | | | | | | | | | | | | (22775) all_61_14 = all_50_1
% 176.58/27.43 | | | | | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | | | | | COMBINE_EQS: (22774), (22775) imply:
% 176.58/27.43 | | | | | | | | | | | | | | | (22776) all_50_1 = all_42_1
% 176.58/27.43 | | | | | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | | | | | REDUCE: (22656), (22774) imply:
% 176.58/27.43 | | | | | | | | | | | | | | | (22777) ~ (all_61_9 = all_42_1)
% 176.58/27.43 | | | | | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | | | | | REDUCE: (22329), (22773), (22774) imply:
% 176.58/27.43 | | | | | | | | | | | | | | | (22778) op(all_61_9, e2) = all_42_1
% 176.58/27.43 | | | | | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | | | | | REDUCE: (22673), (22773) imply:
% 176.58/27.43 | | | | | | | | | | | | | | | (22779) op(all_61_9, e0) = all_65_67
% 176.58/27.43 | | | | | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | | | | | REDUCE: (22675), (22768), (22774) imply:
% 176.58/27.43 | | | | | | | | | | | | | | | (22780) op(all_42_1, e0) = e3
% 176.58/27.43 | | | | | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | | | | | REDUCE: (724), (22773) imply:
% 176.58/27.43 | | | | | | | | | | | | | | | (22781) op(e2, all_61_9) = all_65_25
% 176.58/27.43 | | | | | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | | | | | REDUCE: (227), (22774) imply:
% 176.58/27.43 | | | | | | | | | | | | | | | (22782) op(e1, e0) = all_42_1
% 176.58/27.43 | | | | | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_61, all_65_67, e0,
% 176.58/27.43 | | | | | | | | | | | | | | | all_61_9, simplifying with (22674), (22779) gives:
% 176.58/27.43 | | | | | | | | | | | | | | | (22783) all_65_61 = all_65_67
% 176.58/27.43 | | | | | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_25, all_42_1, e2,
% 176.58/27.43 | | | | | | | | | | | | | | | all_61_9, simplifying with (659), (22778) gives:
% 176.58/27.43 | | | | | | | | | | | | | | | (22784) all_65_25 = all_42_1
% 176.58/27.43 | | | | | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | | | | | REDUCE: (22781), (22784) imply:
% 176.58/27.43 | | | | | | | | | | | | | | | (22785) op(e2, all_61_9) = all_42_1
% 176.58/27.43 | | | | | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | | | | | BETA: splitting (161) gives:
% 176.58/27.43 | | | | | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | | | | | Case 1:
% 176.58/27.43 | | | | | | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | | | | | | (22786) ~ (all_58_2 = e2)
% 176.58/27.43 | | | | | | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | | | | | | REDUCE: (478), (22786) imply:
% 176.58/27.43 | | | | | | | | | | | | | | | | (22787) ~ (all_52_2 = e2)
% 176.58/27.43 | | | | | | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | | | | | | BETA: splitting (160) gives:
% 176.58/27.43 | | | | | | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | | | | | | Case 1:
% 176.58/27.43 | | | | | | | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | | | | | | | (22788) ~ (all_58_2 = e0)
% 176.58/27.43 | | | | | | | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | | | | | | | REDUCE: (478), (22788) imply:
% 176.58/27.43 | | | | | | | | | | | | | | | | | (22789) ~ (all_52_2 = e0)
% 176.58/27.43 | | | | | | | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (18), (50), (149), (162), (478), (484),
% 176.58/27.43 | | | | | | | | | | | | | | | | | (538), (714), (748), (21466), (21521), (21765),
% 176.58/27.43 | | | | | | | | | | | | | | | | | (22630), (22787), (22789) are inconsistent by
% 176.58/27.43 | | | | | | | | | | | | | | | | | sub-proof #39.
% 176.58/27.43 | | | | | | | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | | | | | | Case 2:
% 176.58/27.43 | | | | | | | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | | | | | | | (22790) all_58_2 = e0
% 176.58/27.43 | | | | | | | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (21), (50), (478), (748), (22780), (22782),
% 176.58/27.43 | | | | | | | | | | | | | | | | | (22790) are inconsistent by sub-proof #30.
% 176.58/27.43 | | | | | | | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | | | | | | End of split
% 176.58/27.43 | | | | | | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | | | | | Case 2:
% 176.58/27.43 | | | | | | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | | | | | | (22791) all_58_2 = e2
% 176.58/27.43 | | | | | | | | | | | | | | | | (22792) all_58_1 = e1
% 176.58/27.43 | | | | | | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | | | | | | COMBINE_EQS: (481), (22792) imply:
% 176.58/27.43 | | | | | | | | | | | | | | | | (22793) all_52_1 = e1
% 176.58/27.43 | | | | | | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | | | | | | SIMP: (22793) implies:
% 176.58/27.43 | | | | | | | | | | | | | | | | (22794) all_52_1 = e1
% 176.58/27.43 | | | | | | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | | | | | | COMBINE_EQS: (478), (22791) imply:
% 176.58/27.43 | | | | | | | | | | | | | | | | (22795) all_52_2 = e2
% 176.58/27.43 | | | | | | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | | | | | | REDUCE: (125), (22795) imply:
% 176.58/27.43 | | | | | | | | | | | | | | | | (22796) inv(e1) = e2
% 176.58/27.43 | | | | | | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | | | | | | REDUCE: (731), (22794) imply:
% 176.58/27.43 | | | | | | | | | | | | | | | | (22797) op(e2, e1) = unit
% 176.58/27.43 | | | | | | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_9, unit, e1, e2,
% 176.58/27.43 | | | | | | | | | | | | | | | | simplifying with (232), (22797) gives:
% 176.58/27.43 | | | | | | | | | | | | | | | | (22798) all_61_9 = unit
% 176.58/27.43 | | | | | | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | | | | | | REDUCE: (22777), (22798) imply:
% 176.58/27.43 | | | | | | | | | | | | | | | | (22799) ~ (all_42_1 = unit)
% 176.58/27.43 | | | | | | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | | | | | | SIMP: (22799) implies:
% 176.58/27.43 | | | | | | | | | | | | | | | | (22800) ~ (all_42_1 = unit)
% 176.58/27.43 | | | | | | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | | | | | | REDUCE: (22283), (22798) imply:
% 176.58/27.43 | | | | | | | | | | | | | | | | (22801) ~ (unit = e0)
% 176.58/27.43 | | | | | | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | | | | | | REDUCE: (22778), (22798) imply:
% 176.58/27.43 | | | | | | | | | | | | | | | | (22802) op(unit, e2) = all_42_1
% 176.58/27.43 | | | | | | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | | | | | | REDUCE: (22779), (22798) imply:
% 176.58/27.43 | | | | | | | | | | | | | | | | (22803) op(unit, e0) = all_65_67
% 176.58/27.43 | | | | | | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | | | | | | REDUCE: (22785), (22798) imply:
% 176.58/27.43 | | | | | | | | | | | | | | | | (22804) op(e2, unit) = all_42_1
% 176.58/27.43 | | | | | | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e0, all_65_67, e0, unit,
% 176.58/27.43 | | | | | | | | | | | | | | | | simplifying with (7), (22803) gives:
% 176.58/27.43 | | | | | | | | | | | | | | | | (22805) all_65_67 = e0
% 176.58/27.43 | | | | | | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e2, all_42_1, e2, unit,
% 176.58/27.43 | | | | | | | | | | | | | | | | simplifying with (9), (22802) gives:
% 176.58/27.43 | | | | | | | | | | | | | | | | (22806) all_42_1 = e2
% 176.58/27.43 | | | | | | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | | | | | | REDUCE: (22800), (22806) imply:
% 176.58/27.43 | | | | | | | | | | | | | | | | (22807) ~ (unit = e2)
% 176.58/27.43 | | | | | | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | | | | | | SIMP: (22807) implies:
% 176.58/27.43 | | | | | | | | | | | | | | | | (22808) ~ (unit = e2)
% 176.58/27.43 | | | | | | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (13), (49), (50), (21766), (22782),
% 176.58/27.43 | | | | | | | | | | | | | | | | (22796), (22801), (22803), (22804), (22808) are
% 176.58/27.43 | | | | | | | | | | | | | | | | inconsistent by sub-proof #259.
% 176.58/27.43 | | | | | | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | | | | | End of split
% 176.58/27.43 | | | | | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | | | | End of split
% 176.58/27.43 | | | | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | | | End of split
% 176.58/27.43 | | | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | | End of split
% 176.58/27.43 | | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | End of split
% 176.58/27.43 | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | Case 2:
% 176.58/27.43 | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | (22809) all_28_2 = e3
% 176.58/27.43 | | | | | | | | | | | (22810) op(e0, e3) = all_28_1 & $i(all_28_1) & ( ~
% 176.58/27.43 | | | | | | | | | | | (all_28_1 = e2) | ( ~ (all_28_0 = e1) & op(e2,
% 176.58/27.43 | | | | | | | | | | | e0) = all_28_0 & $i(all_28_0)))
% 176.58/27.43 | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | ALPHA: (22810) implies:
% 176.58/27.43 | | | | | | | | | | | (22811) op(e0, e3) = all_28_1
% 176.58/27.43 | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | COMBINE_EQS: (563), (22809) imply:
% 176.58/27.43 | | | | | | | | | | | (22812) all_20_2 = e3
% 176.58/27.43 | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | SIMP: (22812) implies:
% 176.58/27.43 | | | | | | | | | | | (22813) all_20_2 = e3
% 176.58/27.43 | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | REDUCE: (22327), (22813) imply:
% 176.58/27.43 | | | | | | | | | | | (22814) ~ (all_22_1 = e3)
% 176.58/27.43 | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | REDUCE: (22331), (22813) imply:
% 176.58/27.43 | | | | | | | | | | | (22815) op(all_22_1, e2) = e3
% 176.58/27.43 | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | REDUCE: (694), (22813) imply:
% 176.58/27.43 | | | | | | | | | | | (22816) op(e3, e3) = all_65_73
% 176.58/27.43 | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | REDUCE: (695), (22813) imply:
% 176.58/27.43 | | | | | | | | | | | (22817) op(e3, e2) = all_65_75
% 176.58/27.43 | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | REDUCE: (697), (22813) imply:
% 176.58/27.43 | | | | | | | | | | | (22818) op(e3, e0) = all_65_78
% 176.58/27.43 | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | REDUCE: (713), (22813) imply:
% 176.58/27.43 | | | | | | | | | | | (22819) op(e3, e3) = all_65_15
% 176.58/27.43 | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | REDUCE: (22352), (22813) imply:
% 176.58/27.43 | | | | | | | | | | | (22820) op(e2, e3) = all_65_75
% 176.58/27.43 | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | REDUCE: (764), (22813) imply:
% 176.58/27.43 | | | | | | | | | | | (22821) op(e0, e3) = all_65_78
% 176.58/27.43 | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | REDUCE: (76), (22813) imply:
% 176.58/27.43 | | | | | | | | | | | (22822) op(e0, e0) = e3
% 176.58/27.43 | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_3, all_65_78, e3,
% 176.58/27.43 | | | | | | | | | | | e0, simplifying with (226), (22821) gives:
% 176.58/27.43 | | | | | | | | | | | (22823) all_65_78 = all_61_3
% 176.58/27.43 | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | GROUND_INST: instantiating (50) with all_28_1, all_65_78, e3,
% 176.58/27.43 | | | | | | | | | | | e0, simplifying with (22811), (22821) gives:
% 176.58/27.43 | | | | | | | | | | | (22824) all_65_78 = all_28_1
% 176.58/27.43 | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_1, all_65_75, e3,
% 176.58/27.43 | | | | | | | | | | | e2, simplifying with (234), (22820) gives:
% 176.58/27.43 | | | | | | | | | | | (22825) all_65_75 = all_61_1
% 176.58/27.43 | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_12, all_65_78, e0,
% 176.58/27.43 | | | | | | | | | | | e3, simplifying with (235), (22818) gives:
% 176.58/27.43 | | | | | | | | | | | (22826) all_65_78 = all_61_12
% 176.58/27.43 | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_4, all_65_75, e2,
% 176.58/27.43 | | | | | | | | | | | e3, simplifying with (237), (22817) gives:
% 176.58/27.43 | | | | | | | | | | | (22827) all_65_75 = all_61_4
% 176.58/27.43 | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | GROUND_INST: instantiating (50) with all_14_2, all_65_15, e3,
% 176.58/27.43 | | | | | | | | | | | e3, simplifying with (67), (22819) gives:
% 176.58/27.43 | | | | | | | | | | | (22828) all_65_15 = all_14_2
% 176.58/27.43 | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_73, all_65_15, e3,
% 176.58/27.43 | | | | | | | | | | | e3, simplifying with (22816), (22819) gives:
% 176.58/27.43 | | | | | | | | | | | (22829) all_65_15 = all_65_73
% 176.58/27.43 | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | COMBINE_EQS: (22828), (22829) imply:
% 176.58/27.43 | | | | | | | | | | | (22830) all_65_73 = all_14_2
% 176.58/27.43 | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | COMBINE_EQS: (22825), (22827) imply:
% 176.58/27.43 | | | | | | | | | | | (22831) all_61_1 = all_61_4
% 176.58/27.43 | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | COMBINE_EQS: (22824), (22826) imply:
% 176.58/27.43 | | | | | | | | | | | (22832) all_61_12 = all_28_1
% 176.58/27.43 | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | SIMP: (22832) implies:
% 176.58/27.43 | | | | | | | | | | | (22833) all_61_12 = all_28_1
% 176.58/27.43 | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | COMBINE_EQS: (22823), (22824) imply:
% 176.58/27.43 | | | | | | | | | | | (22834) all_61_3 = all_28_1
% 176.58/27.43 | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | SIMP: (22834) implies:
% 176.58/27.43 | | | | | | | | | | | (22835) all_61_3 = all_28_1
% 176.58/27.43 | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | REDUCE: (213), (22831) imply:
% 176.58/27.43 | | | | | | | | | | | (22836) ~ (all_61_4 = all_61_9)
% 176.58/27.43 | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | REDUCE: (603), (22833) imply:
% 176.58/27.43 | | | | | | | | | | | (22837) ~ (all_28_1 = all_14_2)
% 176.58/27.43 | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | REDUCE: (650), (22831) imply:
% 176.58/27.43 | | | | | | | | | | | (22838) op(all_61_4, e3) = all_65_16
% 176.58/27.43 | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | REDUCE: (682), (22835) imply:
% 176.58/27.43 | | | | | | | | | | | (22839) op(all_28_1, e3) = all_65_49
% 176.58/27.43 | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | REDUCE: (685), (22835) imply:
% 176.58/27.43 | | | | | | | | | | | (22840) op(all_28_1, e0) = all_65_55
% 176.58/27.43 | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | REDUCE: (21517), (22831) imply:
% 176.58/27.43 | | | | | | | | | | | (22841) op(all_61_9, e1) = all_61_4
% 176.58/27.43 | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | REDUCE: (21518), (22835) imply:
% 176.58/27.43 | | | | | | | | | | | (22842) op(all_61_11, e1) = all_28_1
% 176.58/27.43 | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | REDUCE: (646), (22833) imply:
% 176.58/27.43 | | | | | | | | | | | (22843) op(all_28_1, e3) = all_65_12
% 176.58/27.43 | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | REDUCE: (649), (22828), (22833) imply:
% 176.58/27.43 | | | | | | | | | | | (22844) op(all_28_1, e0) = all_14_2
% 176.58/27.43 | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | REDUCE: (710), (22835) imply:
% 176.58/27.43 | | | | | | | | | | | (22845) op(e3, all_28_1) = all_65_12
% 176.58/27.43 | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | REDUCE: (701), (22833) imply:
% 176.58/27.43 | | | | | | | | | | | (22846) op(e3, all_28_1) = all_65_3
% 176.58/27.43 | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | REDUCE: (235), (22833) imply:
% 176.58/27.43 | | | | | | | | | | | (22847) op(e3, e0) = all_28_1
% 176.58/27.43 | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_12, all_65_3,
% 176.58/27.43 | | | | | | | | | | | all_28_1, e3, simplifying with (22845), (22846)
% 176.58/27.43 | | | | | | | | | | | gives:
% 176.58/27.43 | | | | | | | | | | | (22848) all_65_3 = all_65_12
% 176.58/27.43 | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | GROUND_INST: instantiating (50) with all_14_2, all_65_55, e0,
% 176.58/27.43 | | | | | | | | | | | all_28_1, simplifying with (22840), (22844) gives:
% 176.58/27.43 | | | | | | | | | | | (22849) all_65_55 = all_14_2
% 176.58/27.43 | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_49, all_65_12, e3,
% 176.58/27.43 | | | | | | | | | | | all_28_1, simplifying with (22839), (22843) gives:
% 176.58/27.43 | | | | | | | | | | | (22850) all_65_12 = all_65_49
% 176.58/27.43 | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_4, all_65_16, e3,
% 176.58/27.43 | | | | | | | | | | | all_61_4, simplifying with (638), (22838) gives:
% 176.58/27.43 | | | | | | | | | | | (22851) all_65_4 = all_65_16
% 176.58/27.43 | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | COMBINE_EQS: (22848), (22850) imply:
% 176.58/27.43 | | | | | | | | | | | (22852) all_65_3 = all_65_49
% 176.58/27.43 | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | REDUCE: (637), (22852) imply:
% 176.58/27.43 | | | | | | | | | | | (22853) op(all_14_2, e0) = all_65_49
% 176.58/27.43 | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | BETA: splitting (101) gives:
% 176.58/27.43 | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | Case 1:
% 176.58/27.43 | | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | | (22854) ~ (all_36_2 = e0)
% 176.58/27.43 | | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | | REDUCE: (557), (22854) imply:
% 176.58/27.43 | | | | | | | | | | | | (22855) ~ (all_14_2 = e0)
% 176.58/27.43 | | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | | BETA: splitting (107) gives:
% 176.58/27.43 | | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | | Case 1:
% 176.58/27.43 | | | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | | | (22856) ~ (all_40_2 = e1)
% 176.58/27.43 | | | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | | | REDUCE: (553), (22856) imply:
% 176.58/27.43 | | | | | | | | | | | | | (22857) ~ (all_14_2 = e1)
% 176.58/27.43 | | | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | | | REF_CLOSE: (10), (50), (67), (151), (159), (162), (165),
% 176.58/27.43 | | | | | | | | | | | | | (166), (167), (168), (226), (230), (234), (235),
% 176.58/27.43 | | | | | | | | | | | | | (236), (237), (271), (475), (478), (481), (484),
% 176.58/27.43 | | | | | | | | | | | | | (534), (588), (599), (601), (603), (635), (636),
% 176.58/27.43 | | | | | | | | | | | | | (637), (638), (642), (646), (650), (666), (682),
% 176.58/27.43 | | | | | | | | | | | | | (698), (714), (715), (731), (732), (748), (749),
% 176.58/27.43 | | | | | | | | | | | | | (765), (21765), (21769), (22855), (22857) are
% 176.58/27.43 | | | | | | | | | | | | | inconsistent by sub-proof #502.
% 176.58/27.43 | | | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | | Case 2:
% 176.58/27.43 | | | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | | | (22858) all_40_2 = e1
% 176.58/27.43 | | | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | | | COMBINE_EQS: (553), (22858) imply:
% 176.58/27.43 | | | | | | | | | | | | | (22859) all_14_2 = e1
% 176.58/27.43 | | | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | | | SIMP: (22859) implies:
% 176.58/27.43 | | | | | | | | | | | | | (22860) all_14_2 = e1
% 176.58/27.43 | | | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | | | COMBINE_EQS: (466), (22860) imply:
% 176.58/27.43 | | | | | | | | | | | | | (22861) all_48_2 = e1
% 176.58/27.43 | | | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | | | REDUCE: (22837), (22860) imply:
% 176.58/27.43 | | | | | | | | | | | | | (22862) ~ (all_28_1 = e1)
% 176.58/27.43 | | | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | | | REDUCE: (22844), (22860) imply:
% 176.58/27.43 | | | | | | | | | | | | | (22863) op(all_28_1, e0) = e1
% 176.58/27.43 | | | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | | | REDUCE: (22853), (22860) imply:
% 176.58/27.43 | | | | | | | | | | | | | (22864) op(e1, e0) = all_65_49
% 176.58/27.43 | | | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | | | REDUCE: (749), (22860) imply:
% 176.58/27.43 | | | | | | | | | | | | | (22865) op(e0, e1) = all_65_49
% 176.58/27.43 | | | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | | | BETA: splitting (119) gives:
% 176.58/27.43 | | | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | | | Case 1:
% 176.58/27.43 | | | | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | | | | (22866) ~ (all_48_2 = e1)
% 176.58/27.43 | | | | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | | | | REDUCE: (22861), (22866) imply:
% 176.58/27.43 | | | | | | | | | | | | | | (22867) $false
% 176.58/27.43 | | | | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | | | | CLOSE: (22867) is inconsistent.
% 176.58/27.43 | | | | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | | | Case 2:
% 176.58/27.43 | | | | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_11, all_65_49, e1,
% 176.58/27.43 | | | | | | | | | | | | | | e0, simplifying with (224), (22865) gives:
% 176.58/27.43 | | | | | | | | | | | | | | (22868) all_65_49 = all_61_11
% 176.58/27.43 | | | | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_14, all_65_49, e0,
% 176.58/27.43 | | | | | | | | | | | | | | e1, simplifying with (227), (22864) gives:
% 176.58/27.43 | | | | | | | | | | | | | | (22869) all_65_49 = all_61_14
% 176.58/27.43 | | | | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | | | | COMBINE_EQS: (22868), (22869) imply:
% 176.58/27.43 | | | | | | | | | | | | | | (22870) all_61_11 = all_61_14
% 176.58/27.43 | | | | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | | | | SIMP: (22870) implies:
% 176.58/27.43 | | | | | | | | | | | | | | (22871) all_61_11 = all_61_14
% 176.58/27.43 | | | | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | | | | REDUCE: (22842), (22871) imply:
% 176.58/27.43 | | | | | | | | | | | | | | (22872) op(all_61_14, e1) = all_28_1
% 176.58/27.43 | | | | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_46, all_28_1, e1,
% 176.58/27.43 | | | | | | | | | | | | | | all_61_14, simplifying with (680), (22872) gives:
% 176.58/27.43 | | | | | | | | | | | | | | (22873) all_65_46 = all_28_1
% 176.58/27.43 | | | | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | | | | BETA: splitting (159) gives:
% 176.58/27.43 | | | | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | | | | Case 1:
% 176.58/27.43 | | | | | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | | | | | (22874) ~ (all_58_3 = e3)
% 176.58/27.43 | | | | | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | | | | | REDUCE: (475), (22874) imply:
% 176.58/27.43 | | | | | | | | | | | | | | | (22875) ~ (all_52_3 = e3)
% 176.58/27.43 | | | | | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | | | | | BETA: splitting (163) gives:
% 176.58/27.43 | | | | | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | | | | | Case 1:
% 176.58/27.43 | | | | | | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | | | | | | (22876) ~ (all_58_1 = e0)
% 176.58/27.43 | | | | | | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | | | | | | REDUCE: (481), (22876) imply:
% 176.58/27.43 | | | | | | | | | | | | | | | | (22877) ~ (all_52_1 = e0)
% 176.58/27.43 | | | | | | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | | | | | | BETA: splitting (158) gives:
% 176.58/27.43 | | | | | | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | | | | | | Case 1:
% 176.58/27.43 | | | | | | | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | | | | | | | (22878) ~ (all_58_3 = e2)
% 176.58/27.43 | | | | | | | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | | | | | | | REDUCE: (475), (22878) imply:
% 176.58/27.43 | | | | | | | | | | | | | | | | | (22879) ~ (all_52_3 = e2)
% 176.58/27.43 | | | | | | | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | | | | | | | BETA: splitting (160) gives:
% 176.58/27.43 | | | | | | | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | | | | | | | Case 1:
% 176.58/27.43 | | | | | | | | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | | | | | | | | (22880) ~ (all_58_2 = e0)
% 176.58/27.43 | | | | | | | | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | | | | | | | | REDUCE: (478), (22880) imply:
% 176.58/27.43 | | | | | | | | | | | | | | | | | | (22881) ~ (all_52_2 = e0)
% 176.58/27.43 | | | | | | | | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | | | | | | | | BETA: splitting (157) gives:
% 176.58/27.43 | | | | | | | | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | | | | | | | | Case 1:
% 176.58/27.43 | | | | | | | | | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | | | | | | | | | (22882) ~ (all_58_3 = e1)
% 176.58/27.43 | | | | | | | | | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | | | | | | | | | REDUCE: (475), (22882) imply:
% 176.58/27.43 | | | | | | | | | | | | | | | | | | | (22883) ~ (all_52_3 = e1)
% 176.58/27.43 | | | | | | | | | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (50), (148), (539), (765), (21765), (22822),
% 176.58/27.43 | | | | | | | | | | | | | | | | | | | (22875), (22879), (22883) are inconsistent by
% 176.58/27.43 | | | | | | | | | | | | | | | | | | | sub-proof #439.
% 176.58/27.43 | | | | | | | | | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | | | | | | | | Case 2:
% 176.58/27.43 | | | | | | | | | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | | | | | | | | | (22884) all_58_2 = e0
% 176.58/27.43 | | | | | | | | | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (478), (22881), (22884) are inconsistent by
% 176.58/27.43 | | | | | | | | | | | | | | | | | | | sub-proof #436.
% 176.58/27.43 | | | | | | | | | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | | | | | | | | End of split
% 176.58/27.43 | | | | | | | | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | | | | | | | Case 2:
% 176.58/27.43 | | | | | | | | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | | | | | | | | (22885) all_58_2 = e0
% 176.58/27.43 | | | | | | | | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (478), (22885) imply:
% 176.58/27.43 | | | | | | | | | | | | | | | | | | (22886) all_52_2 = e0
% 176.58/27.43 | | | | | | | | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | | | | | | | | REDUCE: (748), (22886) imply:
% 176.58/27.43 | | | | | | | | | | | | | | | | | | (22887) op(e1, e0) = unit
% 176.58/27.43 | | | | | | | | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (50), (227), (22862), (22872), (22887) are
% 176.58/27.43 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #36.
% 176.58/27.43 | | | | | | | | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | | | | | | | End of split
% 176.58/27.43 | | | | | | | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | | | | | | Case 2:
% 176.58/27.43 | | | | | | | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | | | | | | | (22888) all_58_1 = e0
% 176.58/27.43 | | | | | | | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | | | | | | | REF_CLOSE: (481), (22877), (22888) are inconsistent by
% 176.58/27.43 | | | | | | | | | | | | | | | | | sub-proof #462.
% 176.58/27.43 | | | | | | | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | | | | | | End of split
% 176.58/27.43 | | | | | | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | | | | | Case 2:
% 176.58/27.43 | | | | | | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | | | | | | (22889) all_58_3 = e2
% 176.58/27.43 | | | | | | | | | | | | | | | | (22890) all_58_1 = e0
% 176.58/27.43 | | | | | | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | | | | | | REF_CLOSE: (9), (50), (475), (481), (731), (22276), (22815),
% 176.58/27.43 | | | | | | | | | | | | | | | | (22875), (22889), (22890) are inconsistent by
% 176.58/27.43 | | | | | | | | | | | | | | | | sub-proof #348.
% 176.58/27.43 | | | | | | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | | | | | End of split
% 176.58/27.43 | | | | | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | | | | Case 2:
% 176.58/27.43 | | | | | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | | | | | (22891) all_58_0 = e0
% 176.58/27.43 | | | | | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | | | | | REF_CLOSE: (7), (18), (50), (484), (714), (22847), (22863),
% 176.58/27.43 | | | | | | | | | | | | | | | (22891) are inconsistent by sub-proof #29.
% 176.58/27.43 | | | | | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | | | | End of split
% 176.58/27.43 | | | | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | | | End of split
% 176.58/27.43 | | | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | | End of split
% 176.58/27.43 | | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | Case 2:
% 176.58/27.43 | | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | | (22892) all_36_2 = e0
% 176.58/27.43 | | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | | COMBINE_EQS: (557), (22892) imply:
% 176.58/27.43 | | | | | | | | | | | | (22893) all_14_2 = e0
% 176.58/27.43 | | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | | REDUCE: (21538), (22893) imply:
% 176.58/27.43 | | | | | | | | | | | | (22894) op(e0, e1) = all_65_32
% 176.58/27.43 | | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | | REDUCE: (715), (22893) imply:
% 176.58/27.43 | | | | | | | | | | | | (22895) op(e2, e0) = all_65_16
% 176.58/27.43 | | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | | REDUCE: (732), (22893) imply:
% 176.58/27.43 | | | | | | | | | | | | (22896) op(e1, e0) = all_65_32
% 176.58/27.43 | | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | | REDUCE: (749), (22893) imply:
% 176.58/27.43 | | | | | | | | | | | | (22897) op(e0, e0) = all_65_49
% 176.58/27.43 | | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | | GROUND_INST: instantiating (50) with e3, all_65_49, e0, e0,
% 176.58/27.43 | | | | | | | | | | | | simplifying with (22822), (22897) gives:
% 176.58/27.43 | | | | | | | | | | | | (22898) all_65_49 = e3
% 176.58/27.43 | | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_11, all_65_32, e1,
% 176.58/27.43 | | | | | | | | | | | | e0, simplifying with (224), (22894) gives:
% 176.58/27.43 | | | | | | | | | | | | (22899) all_65_32 = all_61_11
% 176.58/27.43 | | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_14, all_65_32, e0,
% 176.58/27.43 | | | | | | | | | | | | e1, simplifying with (227), (22896) gives:
% 176.58/27.43 | | | | | | | | | | | | (22900) all_65_32 = all_61_14
% 176.58/27.43 | | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_22_1, all_65_16, e0,
% 176.58/27.43 | | | | | | | | | | | | e2, simplifying with (22276), (22895) gives:
% 176.58/27.43 | | | | | | | | | | | | (22901) all_65_16 = all_22_1
% 176.58/27.43 | | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | | COMBINE_EQS: (22899), (22900) imply:
% 176.58/27.43 | | | | | | | | | | | | (22902) all_61_11 = all_61_14
% 176.58/27.43 | | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | | SIMP: (22902) implies:
% 176.58/27.43 | | | | | | | | | | | | (22903) all_61_11 = all_61_14
% 176.58/27.43 | | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | | REDUCE: (185), (22903) imply:
% 176.58/27.43 | | | | | | | | | | | | (22904) ~ (all_61_9 = all_61_14)
% 176.58/27.43 | | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | | REDUCE: (22838), (22901) imply:
% 176.58/27.43 | | | | | | | | | | | | (22905) op(all_61_4, e3) = all_22_1
% 176.58/27.43 | | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | | BETA: splitting (161) gives:
% 176.58/27.43 | | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | | Case 1:
% 176.58/27.43 | | | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | | | (22906) ~ (all_58_2 = e2)
% 176.58/27.43 | | | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | | | REDUCE: (478), (22906) imply:
% 176.58/27.43 | | | | | | | | | | | | | (22907) ~ (all_52_2 = e2)
% 176.58/27.43 | | | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | | | REF_CLOSE: (3), (9), (10), (23), (50), (150), (163), (164),
% 176.58/27.43 | | | | | | | | | | | | | (165), (237), (478), (481), (484), (536), (714),
% 176.58/27.43 | | | | | | | | | | | | | (731), (21765), (22276), (22293), (22814),
% 176.58/27.43 | | | | | | | | | | | | | (22815), (22822), (22905), (22907) are
% 176.58/27.43 | | | | | | | | | | | | | inconsistent by sub-proof #389.
% 176.58/27.43 | | | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | | Case 2:
% 176.58/27.43 | | | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | | | (22908) all_58_2 = e2
% 176.58/27.43 | | | | | | | | | | | | | (22909) all_58_1 = e1
% 176.58/27.43 | | | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | | | COMBINE_EQS: (481), (22909) imply:
% 176.58/27.43 | | | | | | | | | | | | | (22910) all_52_1 = e1
% 176.58/27.43 | | | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | | | SIMP: (22910) implies:
% 176.58/27.43 | | | | | | | | | | | | | (22911) all_52_1 = e1
% 176.58/27.43 | | | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | | | COMBINE_EQS: (478), (22908) imply:
% 176.58/27.43 | | | | | | | | | | | | | (22912) all_52_2 = e2
% 176.58/27.43 | | | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | | | SIMP: (22912) implies:
% 176.58/27.43 | | | | | | | | | | | | | (22913) all_52_2 = e2
% 176.58/27.43 | | | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | | | REDUCE: (731), (22911) imply:
% 176.58/27.43 | | | | | | | | | | | | | (22914) op(e2, e1) = unit
% 176.58/27.43 | | | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | | | REDUCE: (748), (22913) imply:
% 176.58/27.43 | | | | | | | | | | | | | (22915) op(e1, e2) = unit
% 176.58/27.43 | | | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_6, unit, e2, e1,
% 176.58/27.43 | | | | | | | | | | | | | simplifying with (229), (22915) gives:
% 176.58/27.43 | | | | | | | | | | | | | (22916) all_61_6 = unit
% 176.58/27.43 | | | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_9, unit, e1, e2,
% 176.58/27.43 | | | | | | | | | | | | | simplifying with (232), (22914) gives:
% 176.58/27.43 | | | | | | | | | | | | | (22917) all_61_9 = unit
% 176.58/27.43 | | | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | | | REDUCE: (22836), (22917) imply:
% 176.58/27.43 | | | | | | | | | | | | | (22918) ~ (all_61_4 = unit)
% 176.58/27.43 | | | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | | | REDUCE: (22904), (22917) imply:
% 176.58/27.43 | | | | | | | | | | | | | (22919) ~ (all_61_14 = unit)
% 176.58/27.43 | | | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | | | SIMP: (22919) implies:
% 176.58/27.43 | | | | | | | | | | | | | (22920) ~ (all_61_14 = unit)
% 176.58/27.43 | | | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | | | REDUCE: (22283), (22917) imply:
% 176.58/27.43 | | | | | | | | | | | | | (22921) ~ (unit = e0)
% 176.58/27.43 | | | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | | | REDUCE: (22329), (22916) imply:
% 176.58/27.43 | | | | | | | | | | | | | (22922) op(unit, e2) = all_61_14
% 176.58/27.43 | | | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | | | REDUCE: (672), (22916) imply:
% 176.58/27.43 | | | | | | | | | | | | | (22923) op(unit, e1) = all_65_38
% 176.58/27.43 | | | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | | | REDUCE: (659), (22917) imply:
% 176.58/27.43 | | | | | | | | | | | | | (22924) op(unit, e2) = all_65_25
% 176.58/27.43 | | | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | | | REDUCE: (22841), (22917) imply:
% 176.58/27.43 | | | | | | | | | | | | | (22925) op(unit, e1) = all_61_4
% 176.58/27.43 | | | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e1, all_65_38, e1, unit,
% 176.58/27.43 | | | | | | | | | | | | | simplifying with (8), (22923) gives:
% 176.58/27.43 | | | | | | | | | | | | | (22926) all_65_38 = e1
% 176.58/27.43 | | | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_4, all_65_38, e1,
% 176.58/27.43 | | | | | | | | | | | | | unit, simplifying with (22923), (22925) gives:
% 176.58/27.43 | | | | | | | | | | | | | (22927) all_65_38 = all_61_4
% 176.58/27.43 | | | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e2, all_65_25, e2, unit,
% 176.58/27.43 | | | | | | | | | | | | | simplifying with (9), (22924) gives:
% 176.58/27.43 | | | | | | | | | | | | | (22928) all_65_25 = e2
% 176.58/27.43 | | | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_14, all_65_25, e2,
% 176.58/27.43 | | | | | | | | | | | | | unit, simplifying with (22922), (22924) gives:
% 176.58/27.43 | | | | | | | | | | | | | (22929) all_65_25 = all_61_14
% 176.58/27.43 | | | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | | | COMBINE_EQS: (22928), (22929) imply:
% 176.58/27.43 | | | | | | | | | | | | | (22930) all_61_14 = e2
% 176.58/27.43 | | | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | | | SIMP: (22930) implies:
% 176.58/27.43 | | | | | | | | | | | | | (22931) all_61_14 = e2
% 176.58/27.43 | | | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | | | COMBINE_EQS: (22926), (22927) imply:
% 176.58/27.43 | | | | | | | | | | | | | (22932) all_61_4 = e1
% 176.58/27.43 | | | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | | | REF_CLOSE: (21766), (22918), (22920), (22921), (22931),
% 176.58/27.43 | | | | | | | | | | | | | (22932) are inconsistent by sub-proof #31.
% 176.58/27.43 | | | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | | End of split
% 176.58/27.43 | | | | | | | | | | | |
% 176.58/27.43 | | | | | | | | | | | End of split
% 176.58/27.43 | | | | | | | | | | |
% 176.58/27.44 | | | | | | | | | | End of split
% 176.58/27.44 | | | | | | | | | |
% 176.58/27.44 | | | | | | | | | End of split
% 176.58/27.44 | | | | | | | | |
% 176.58/27.44 | | | | | | | | End of split
% 176.58/27.44 | | | | | | | |
% 176.58/27.44 | | | | | | | Case 2:
% 176.58/27.44 | | | | | | | |
% 176.58/27.44 | | | | | | | | (22933) all_20_2 = e2
% 176.58/27.44 | | | | | | | | (22934) op(e0, e2) = all_20_1 & $i(all_20_1) & ( ~ (all_20_1
% 176.58/27.44 | | | | | | | | = e1) | ( ~ (all_20_0 = e3) & op(e1, e0) =
% 176.58/27.44 | | | | | | | | all_20_0 & $i(all_20_0)))
% 176.58/27.44 | | | | | | | |
% 176.58/27.44 | | | | | | | | ALPHA: (22934) implies:
% 176.58/27.44 | | | | | | | | (22935) op(e0, e2) = all_20_1
% 176.58/27.44 | | | | | | | |
% 176.58/27.44 | | | | | | | | COMBINE_EQS: (581), (22933) imply:
% 176.58/27.44 | | | | | | | | (22936) all_46_2 = e2
% 176.58/27.44 | | | | | | | |
% 176.58/27.44 | | | | | | | | REDUCE: (606), (22933) imply:
% 176.58/27.44 | | | | | | | | (22937) ~ (all_61_3 = e2)
% 176.58/27.44 | | | | | | | |
% 176.58/27.44 | | | | | | | | REDUCE: (624), (22933) imply:
% 176.58/27.44 | | | | | | | | (22938) ~ (all_61_11 = e2)
% 176.58/27.44 | | | | | | | |
% 176.58/27.44 | | | | | | | | REDUCE: (625), (22933) imply:
% 176.58/27.44 | | | | | | | | (22939) ~ (all_61_12 = e2)
% 176.58/27.44 | | | | | | | |
% 176.58/27.44 | | | | | | | | REDUCE: (626), (22933) imply:
% 176.58/27.44 | | | | | | | | (22940) ~ (all_61_13 = e2)
% 176.58/27.44 | | | | | | | |
% 176.58/27.44 | | | | | | | | REDUCE: (627), (22933) imply:
% 176.58/27.44 | | | | | | | | (22941) ~ (all_61_14 = e2)
% 176.58/27.44 | | | | | | | |
% 176.58/27.44 | | | | | | | | REDUCE: (694), (22933) imply:
% 176.58/27.44 | | | | | | | | (22942) op(e2, e3) = all_65_73
% 176.58/27.44 | | | | | | | |
% 176.58/27.44 | | | | | | | | REDUCE: (695), (22933) imply:
% 176.58/27.44 | | | | | | | | (22943) op(e2, e2) = all_65_75
% 176.58/27.44 | | | | | | | |
% 176.58/27.44 | | | | | | | | REDUCE: (696), (22933) imply:
% 176.58/27.44 | | | | | | | | (22944) op(e2, e1) = all_65_77
% 176.58/27.44 | | | | | | | |
% 176.58/27.44 | | | | | | | | REDUCE: (697), (22933) imply:
% 176.58/27.44 | | | | | | | | (22945) op(e2, e0) = all_65_78
% 176.58/27.44 | | | | | | | |
% 176.58/27.44 | | | | | | | | REDUCE: (713), (22933) imply:
% 176.58/27.44 | | | | | | | | (22946) op(e3, e2) = all_65_15
% 176.58/27.44 | | | | | | | |
% 176.58/27.44 | | | | | | | | REDUCE: (730), (22933) imply:
% 176.58/27.44 | | | | | | | | (22947) op(e2, e2) = all_65_31
% 176.58/27.44 | | | | | | | |
% 176.58/27.44 | | | | | | | | REDUCE: (747), (22933) imply:
% 176.58/27.44 | | | | | | | | (22948) op(e1, e2) = all_65_47
% 176.58/27.44 | | | | | | | |
% 176.58/27.44 | | | | | | | | REDUCE: (764), (22933) imply:
% 176.58/27.44 | | | | | | | | (22949) op(e0, e2) = all_65_78
% 176.58/27.44 | | | | | | | |
% 176.58/27.44 | | | | | | | | REDUCE: (76), (22933) imply:
% 176.58/27.44 | | | | | | | | (22950) op(e0, e0) = e2
% 176.58/27.44 | | | | | | | |
% 176.58/27.44 | | | | | | | | BETA: splitting (116) gives:
% 176.58/27.44 | | | | | | | |
% 176.58/27.44 | | | | | | | | Case 1:
% 176.58/27.44 | | | | | | | | |
% 176.58/27.44 | | | | | | | | | (22951) ~ (all_46_2 = e2)
% 176.58/27.44 | | | | | | | | |
% 176.58/27.44 | | | | | | | | | REDUCE: (22936), (22951) imply:
% 176.58/27.44 | | | | | | | | | (22952) $false
% 176.58/27.44 | | | | | | | | |
% 176.58/27.44 | | | | | | | | | CLOSE: (22952) is inconsistent.
% 176.58/27.44 | | | | | | | | |
% 176.58/27.44 | | | | | | | | Case 2:
% 176.58/27.44 | | | | | | | | |
% 176.58/27.44 | | | | | | | | | (22953) op(e0, e2) = all_46_1 & $i(all_46_1) & ( ~
% 176.58/27.44 | | | | | | | | | (all_46_1 = e3) | ( ~ (all_46_0 = e1) & op(e3,
% 176.58/27.44 | | | | | | | | | e0) = all_46_0 & $i(all_46_0)))
% 176.58/27.44 | | | | | | | | |
% 176.58/27.44 | | | | | | | | | ALPHA: (22953) implies:
% 176.58/27.44 | | | | | | | | | (22954) op(e0, e2) = all_46_1
% 176.58/27.44 | | | | | | | | | (22955) ~ (all_46_1 = e3) | ( ~ (all_46_0 = e1) & op(e3,
% 176.58/27.44 | | | | | | | | | e0) = all_46_0 & $i(all_46_0))
% 176.58/27.44 | | | | | | | | |
% 176.58/27.44 | | | | | | | | | GROUND_INST: instantiating (50) with all_61_7, all_20_1, e2,
% 176.58/27.44 | | | | | | | | | e0, simplifying with (225), (22935) gives:
% 176.58/27.44 | | | | | | | | | (22956) all_61_7 = all_20_1
% 176.58/27.44 | | | | | | | | |
% 176.58/27.44 | | | | | | | | | GROUND_INST: instantiating (50) with all_61_7, all_46_1, e2,
% 176.58/27.44 | | | | | | | | | e0, simplifying with (225), (22954) gives:
% 176.58/27.44 | | | | | | | | | (22957) all_61_7 = all_46_1
% 176.58/27.44 | | | | | | | | |
% 176.58/27.44 | | | | | | | | | GROUND_INST: instantiating (50) with all_61_7, all_65_78, e2,
% 176.58/27.44 | | | | | | | | | e0, simplifying with (225), (22949) gives:
% 176.58/27.44 | | | | | | | | | (22958) all_65_78 = all_61_7
% 176.58/27.44 | | | | | | | | |
% 176.58/27.44 | | | | | | | | | GROUND_INST: instantiating (50) with all_61_6, all_65_47, e2,
% 176.58/27.44 | | | | | | | | | e1, simplifying with (229), (22948) gives:
% 176.58/27.44 | | | | | | | | | (22959) all_65_47 = all_61_6
% 176.58/27.44 | | | | | | | | |
% 176.58/27.44 | | | | | | | | | GROUND_INST: instantiating (50) with all_61_13, all_65_78, e0,
% 176.58/27.44 | | | | | | | | | e2, simplifying with (231), (22945) gives:
% 176.58/27.44 | | | | | | | | | (22960) all_65_78 = all_61_13
% 176.58/27.44 | | | | | | | | |
% 176.58/27.44 | | | | | | | | | GROUND_INST: instantiating (50) with all_61_9, all_65_77, e1,
% 176.58/27.44 | | | | | | | | | e2, simplifying with (232), (22944) gives:
% 176.58/27.44 | | | | | | | | | (22961) all_65_77 = all_61_9
% 176.58/27.44 | | | | | | | | |
% 176.58/27.44 | | | | | | | | | GROUND_INST: instantiating (50) with all_6_2, all_65_31, e2,
% 176.58/27.44 | | | | | | | | | e2, simplifying with (55), (22947) gives:
% 176.58/27.44 | | | | | | | | | (22962) all_65_31 = all_6_2
% 176.58/27.44 | | | | | | | | |
% 176.58/27.44 | | | | | | | | | GROUND_INST: instantiating (50) with all_65_75, all_65_31, e2,
% 176.58/27.44 | | | | | | | | | e2, simplifying with (22943), (22947) gives:
% 176.58/27.44 | | | | | | | | | (22963) all_65_31 = all_65_75
% 176.58/27.44 | | | | | | | | |
% 176.58/27.44 | | | | | | | | | GROUND_INST: instantiating (50) with all_61_1, all_65_73, e3,
% 176.58/27.44 | | | | | | | | | e2, simplifying with (234), (22942) gives:
% 176.58/27.44 | | | | | | | | | (22964) all_65_73 = all_61_1
% 176.58/27.44 | | | | | | | | |
% 176.58/27.44 | | | | | | | | | GROUND_INST: instantiating (50) with all_61_4, all_65_15, e2,
% 176.58/27.44 | | | | | | | | | e3, simplifying with (237), (22946) gives:
% 176.58/27.44 | | | | | | | | | (22965) all_65_15 = all_61_4
% 176.58/27.44 | | | | | | | | |
% 176.58/27.44 | | | | | | | | | COMBINE_EQS: (22962), (22963) imply:
% 176.58/27.44 | | | | | | | | | (22966) all_65_75 = all_6_2
% 176.58/27.44 | | | | | | | | |
% 176.58/27.44 | | | | | | | | | COMBINE_EQS: (22958), (22960) imply:
% 176.58/27.44 | | | | | | | | | (22967) all_61_7 = all_61_13
% 176.58/27.44 | | | | | | | | |
% 176.58/27.44 | | | | | | | | | SIMP: (22967) implies:
% 176.58/27.44 | | | | | | | | | (22968) all_61_7 = all_61_13
% 176.58/27.44 | | | | | | | | |
% 176.58/27.44 | | | | | | | | | COMBINE_EQS: (22957), (22968) imply:
% 176.58/27.44 | | | | | | | | | (22969) all_61_13 = all_46_1
% 176.58/27.44 | | | | | | | | |
% 176.58/27.44 | | | | | | | | | COMBINE_EQS: (22956), (22968) imply:
% 176.58/27.44 | | | | | | | | | (22970) all_61_13 = all_20_1
% 176.58/27.44 | | | | | | | | |
% 176.58/27.44 | | | | | | | | | COMBINE_EQS: (22969), (22970) imply:
% 176.58/27.44 | | | | | | | | | (22971) all_46_1 = all_20_1
% 176.58/27.44 | | | | | | | | |
% 176.58/27.44 | | | | | | | | | SIMP: (22971) implies:
% 176.58/27.44 | | | | | | | | | (22972) all_46_1 = all_20_1
% 176.58/27.44 | | | | | | | | |
% 176.58/27.44 | | | | | | | | | COMBINE_EQS: (508), (22956) imply:
% 176.58/27.44 | | | | | | | | | (22973) all_63_13 = all_20_1
% 176.58/27.44 | | | | | | | | |
% 176.58/27.44 | | | | | | | | | REDUCE: (212), (22970) imply:
% 176.58/27.44 | | | | | | | | | (22974) ~ (all_61_1 = all_20_1)
% 176.58/27.44 | | | | | | | | |
% 176.58/27.44 | | | | | | | | | REDUCE: (207), (22956) imply:
% 176.58/27.44 | | | | | | | | | (22975) ~ (all_61_3 = all_20_1)
% 176.58/27.44 | | | | | | | | |
% 176.58/27.44 | | | | | | | | | REDUCE: (192), (22956) imply:
% 176.58/27.44 | | | | | | | | | (22976) ~ (all_61_11 = all_20_1)
% 176.58/27.44 | | | | | | | | |
% 176.58/27.44 | | | | | | | | | SIMP: (22976) implies:
% 176.58/27.44 | | | | | | | | | (22977) ~ (all_61_11 = all_20_1)
% 176.58/27.44 | | | | | | | | |
% 176.58/27.44 | | | | | | | | | REDUCE: (184), (22970) imply:
% 176.58/27.44 | | | | | | | | | (22978) ~ (all_61_9 = all_20_1)
% 176.58/27.44 | | | | | | | | |
% 176.58/27.44 | | | | | | | | | REDUCE: (180), (22970) imply:
% 176.58/27.44 | | | | | | | | | (22979) ~ (all_61_12 = all_20_1)
% 176.58/27.44 | | | | | | | | |
% 176.58/27.44 | | | | | | | | | REDUCE: (615), (22970) imply:
% 176.58/27.44 | | | | | | | | | (22980) ~ (all_20_1 = all_6_2)
% 176.58/27.44 | | | | | | | | |
% 176.58/27.44 | | | | | | | | | REDUCE: (22940), (22970) imply:
% 176.58/27.44 | | | | | | | | | (22981) ~ (all_20_1 = e2)
% 176.58/27.44 | | | | | | | | |
% 176.58/27.44 | | | | | | | | | REDUCE: (687), (22956) imply:
% 176.58/27.44 | | | | | | | | | (22982) op(all_20_1, e2) = all_65_59
% 176.58/27.44 | | | | | | | | |
% 176.58/27.44 | | | | | | | | | REDUCE: (689), (22956) imply:
% 176.58/27.44 | | | | | | | | | (22983) op(all_20_1, e0) = all_65_63
% 176.58/27.44 | | | | | | | | |
% 176.58/27.44 | | | | | | | | | REDUCE: (649), (22965) imply:
% 176.58/27.44 | | | | | | | | | (22984) op(all_61_12, e0) = all_61_4
% 176.58/27.44 | | | | | | | | |
% 176.58/27.44 | | | | | | | | | REDUCE: (663), (22970) imply:
% 176.58/27.44 | | | | | | | | | (22985) op(all_20_1, e2) = all_65_29
% 176.58/27.44 | | | | | | | | |
% 176.58/27.44 | | | | | | | | | REDUCE: (665), (22962), (22970) imply:
% 176.58/27.44 | | | | | | | | | (22986) op(all_20_1, e0) = all_6_2
% 176.58/27.44 | | | | | | | | |
% 176.58/27.44 | | | | | | | | | REDUCE: (681), (22959) imply:
% 176.58/27.44 | | | | | | | | | (22987) op(all_61_14, e0) = all_61_6
% 176.58/27.44 | | | | | | | | |
% 176.58/27.44 | | | | | | | | | REDUCE: (728), (22956) imply:
% 176.58/27.44 | | | | | | | | | (22988) op(e2, all_20_1) = all_65_29
% 176.58/27.44 | | | | | | | | |
% 176.58/27.44 | | | | | | | | | REDUCE: (722), (22970) imply:
% 176.58/27.44 | | | | | | | | | (22989) op(e2, all_20_1) = all_65_23
% 176.58/27.44 | | | | | | | | |
% 176.58/27.44 | | | | | | | | | REDUCE: (231), (22970) imply:
% 176.58/27.44 | | | | | | | | | (22990) op(e2, e0) = all_20_1
% 176.58/27.44 | | | | | | | | |
% 176.58/27.44 | | | | | | | | | REDUCE: (761), (22964) imply:
% 176.58/27.44 | | | | | | | | | (22991) op(e0, all_61_3) = all_61_1
% 176.58/27.44 | | | | | | | | |
% 176.58/27.44 | | | | | | | | | REDUCE: (763), (22961) imply:
% 176.58/27.44 | | | | | | | | | (22992) op(e0, all_61_11) = all_61_9
% 176.58/27.44 | | | | | | | | |
% 176.58/27.44 | | | | | | | | | GROUND_INST: instantiating (50) with all_65_29, all_65_23,
% 176.58/27.44 | | | | | | | | | all_20_1, e2, simplifying with (22988), (22989)
% 176.58/27.44 | | | | | | | | | gives:
% 176.58/27.44 | | | | | | | | | (22993) all_65_23 = all_65_29
% 176.58/27.44 | | | | | | | | |
% 176.58/27.44 | | | | | | | | | GROUND_INST: instantiating (50) with all_6_2, all_65_63, e0,
% 176.58/27.44 | | | | | | | | | all_20_1, simplifying with (22983), (22986) gives:
% 176.58/27.44 | | | | | | | | | (22994) all_65_63 = all_6_2
% 176.58/27.44 | | | | | | | | |
% 176.58/27.44 | | | | | | | | | GROUND_INST: instantiating (50) with all_65_59, all_65_29, e2,
% 176.58/27.44 | | | | | | | | | all_20_1, simplifying with (22982), (22985) gives:
% 176.58/27.44 | | | | | | | | | (22995) all_65_29 = all_65_59
% 176.58/27.44 | | | | | | | | |
% 176.58/27.44 | | | | | | | | | COMBINE_EQS: (22993), (22995) imply:
% 176.58/27.44 | | | | | | | | | (22996) all_65_23 = all_65_59
% 176.58/27.44 | | | | | | | | |
% 176.58/27.44 | | | | | | | | | REDUCE: (657), (22996) imply:
% 176.58/27.44 | | | | | | | | | (22997) op(all_6_2, e0) = all_65_59
% 176.58/27.44 | | | | | | | | |
% 176.58/27.44 | | | | | | | | | BETA: splitting (80) gives:
% 176.58/27.44 | | | | | | | | |
% 176.58/27.44 | | | | | | | | | Case 1:
% 176.58/27.44 | | | | | | | | | |
% 176.58/27.44 | | | | | | | | | | (22998) ~ (all_22_2 = e0)
% 176.58/27.44 | | | | | | | | | |
% 176.58/27.44 | | | | | | | | | | REDUCE: (449), (22998) imply:
% 176.58/27.44 | | | | | | | | | | (22999) ~ (all_6_2 = e0)
% 176.58/27.44 | | | | | | | | | |
% 176.58/27.44 | | | | | | | | | | BETA: splitting (266) gives:
% 176.58/27.44 | | | | | | | | | |
% 176.58/27.44 | | | | | | | | | | Case 1:
% 176.58/27.44 | | | | | | | | | | |
% 176.58/27.44 | | | | | | | | | | | (23000) all_63_5 = e3
% 176.58/27.44 | | | | | | | | | | |
% 176.58/27.44 | | | | | | | | | | | COMBINE_EQS: (587), (23000) imply:
% 176.58/27.44 | | | | | | | | | | | (23001) all_6_2 = e3
% 176.58/27.44 | | | | | | | | | | |
% 176.58/27.44 | | | | | | | | | | | REDUCE: (21541), (23001) imply:
% 176.58/27.44 | | | | | | | | | | | (23002) $false
% 176.58/27.44 | | | | | | | | | | |
% 176.58/27.44 | | | | | | | | | | | CLOSE: (23002) is inconsistent.
% 176.58/27.44 | | | | | | | | | | |
% 176.58/27.44 | | | | | | | | | | Case 2:
% 176.58/27.44 | | | | | | | | | | |
% 176.58/27.44 | | | | | | | | | | | (23003) all_63_5 = e2 | all_63_5 = e1 | all_63_5 = e0
% 176.58/27.44 | | | | | | | | | | |
% 176.58/27.44 | | | | | | | | | | | BETA: splitting (23003) gives:
% 176.58/27.44 | | | | | | | | | | |
% 176.58/27.44 | | | | | | | | | | | Case 1:
% 176.58/27.44 | | | | | | | | | | | |
% 176.58/27.44 | | | | | | | | | | | | (23004) all_63_5 = e2
% 176.58/27.44 | | | | | | | | | | | |
% 176.58/27.44 | | | | | | | | | | | | COMBINE_EQS: (587), (23004) imply:
% 176.58/27.44 | | | | | | | | | | | | (23005) all_6_2 = e2
% 176.58/27.44 | | | | | | | | | | | |
% 176.58/27.44 | | | | | | | | | | | | REDUCE: (609), (23005) imply:
% 176.58/27.44 | | | | | | | | | | | | (23006) ~ (all_61_6 = e2)
% 176.58/27.44 | | | | | | | | | | | |
% 176.58/27.44 | | | | | | | | | | | | REDUCE: (613), (23005) imply:
% 176.58/27.44 | | | | | | | | | | | | (23007) ~ (all_61_9 = e2)
% 176.58/27.44 | | | | | | | | | | | |
% 176.58/27.44 | | | | | | | | | | | | REDUCE: (22986), (23005) imply:
% 176.58/27.44 | | | | | | | | | | | | (23008) op(all_20_1, e0) = e2
% 176.58/27.44 | | | | | | | | | | | |
% 176.58/27.44 | | | | | | | | | | | | REDUCE: (654), (23005) imply:
% 176.58/27.44 | | | | | | | | | | | | (23009) op(e2, e3) = all_65_20
% 176.58/27.44 | | | | | | | | | | | |
% 176.58/27.44 | | | | | | | | | | | | REDUCE: (656), (23005) imply:
% 176.58/27.44 | | | | | | | | | | | | (23010) op(e2, e1) = all_65_22
% 176.58/27.44 | | | | | | | | | | | |
% 176.58/27.44 | | | | | | | | | | | | REDUCE: (22997), (23005) imply:
% 176.58/27.44 | | | | | | | | | | | | (23011) op(e2, e0) = all_65_59
% 176.58/27.44 | | | | | | | | | | | |
% 176.58/27.44 | | | | | | | | | | | | REDUCE: (703), (23005) imply:
% 176.58/27.44 | | | | | | | | | | | | (23012) op(e3, e2) = all_65_5
% 176.58/27.44 | | | | | | | | | | | |
% 176.58/27.44 | | | | | | | | | | | | REDUCE: (737), (23005) imply:
% 176.58/27.44 | | | | | | | | | | | | (23013) op(e1, e2) = all_65_37
% 176.58/27.44 | | | | | | | | | | | |
% 176.58/27.44 | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_6, all_65_37, e2,
% 176.58/27.44 | | | | | | | | | | | | e1, simplifying with (229), (23013) gives:
% 176.58/27.44 | | | | | | | | | | | | (23014) all_65_37 = all_61_6
% 176.58/27.44 | | | | | | | | | | | |
% 176.58/27.44 | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_20_1, all_65_59, e0,
% 176.58/27.44 | | | | | | | | | | | | e2, simplifying with (22990), (23011) gives:
% 176.58/27.44 | | | | | | | | | | | | (23015) all_65_59 = all_20_1
% 176.58/27.44 | | | | | | | | | | | |
% 176.58/27.44 | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_9, all_65_22, e1,
% 176.58/27.44 | | | | | | | | | | | | e2, simplifying with (232), (23010) gives:
% 176.58/27.44 | | | | | | | | | | | | (23016) all_65_22 = all_61_9
% 176.58/27.44 | | | | | | | | | | | |
% 176.58/27.44 | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_1, all_65_20, e3,
% 176.58/27.44 | | | | | | | | | | | | e2, simplifying with (234), (23009) gives:
% 176.58/27.44 | | | | | | | | | | | | (23017) all_65_20 = all_61_1
% 176.58/27.44 | | | | | | | | | | | |
% 176.58/27.44 | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_4, all_65_5, e2,
% 176.58/27.44 | | | | | | | | | | | | e3, simplifying with (237), (23012) gives:
% 176.58/27.44 | | | | | | | | | | | | (23018) all_65_5 = all_61_4
% 176.58/27.44 | | | | | | | | | | | |
% 176.58/27.44 | | | | | | | | | | | | REDUCE: (671), (23014) imply:
% 176.58/27.44 | | | | | | | | | | | | (23019) op(all_61_6, e2) = all_61_6
% 176.58/27.44 | | | | | | | | | | | |
% 176.58/27.44 | | | | | | | | | | | | BETA: splitting (101) gives:
% 176.58/27.44 | | | | | | | | | | | |
% 176.58/27.44 | | | | | | | | | | | | Case 1:
% 176.58/27.44 | | | | | | | | | | | | |
% 176.58/27.44 | | | | | | | | | | | | | (23020) ~ (all_36_2 = e0)
% 176.58/27.44 | | | | | | | | | | | | |
% 176.58/27.44 | | | | | | | | | | | | | REDUCE: (557), (23020) imply:
% 176.58/27.44 | | | | | | | | | | | | | (23021) ~ (all_14_2 = e0)
% 176.58/27.44 | | | | | | | | | | | | |
% 176.58/27.44 | | | | | | | | | | | | | BETA: splitting (107) gives:
% 176.58/27.44 | | | | | | | | | | | | |
% 176.58/27.44 | | | | | | | | | | | | | Case 1:
% 176.58/27.44 | | | | | | | | | | | | | |
% 176.58/27.44 | | | | | | | | | | | | | | (23022) ~ (all_40_2 = e1)
% 176.58/27.44 | | | | | | | | | | | | | |
% 176.58/27.44 | | | | | | | | | | | | | | REDUCE: (553), (23022) imply:
% 176.58/27.44 | | | | | | | | | | | | | | (23023) ~ (all_14_2 = e1)
% 176.58/27.44 | | | | | | | | | | | | | |
% 176.58/27.44 | | | | | | | | | | | | | | REF_CLOSE: (10), (50), (67), (151), (159), (162), (165),
% 176.58/27.44 | | | | | | | | | | | | | | (166), (167), (168), (226), (230), (234), (235),
% 176.58/27.44 | | | | | | | | | | | | | | (236), (237), (271), (475), (478), (481), (484),
% 176.58/27.44 | | | | | | | | | | | | | | (534), (588), (599), (601), (603), (635), (636),
% 176.58/27.44 | | | | | | | | | | | | | | (637), (638), (642), (646), (650), (666), (682),
% 176.58/27.44 | | | | | | | | | | | | | | (698), (714), (715), (731), (732), (748), (749),
% 176.58/27.44 | | | | | | | | | | | | | | (765), (21765), (21769), (23021), (23023) are
% 176.58/27.44 | | | | | | | | | | | | | | inconsistent by sub-proof #502.
% 176.58/27.44 | | | | | | | | | | | | | |
% 176.58/27.44 | | | | | | | | | | | | | Case 2:
% 176.58/27.44 | | | | | | | | | | | | | |
% 176.58/27.44 | | | | | | | | | | | | | | (23024) all_40_2 = e1
% 176.58/27.44 | | | | | | | | | | | | | |
% 176.58/27.44 | | | | | | | | | | | | | | COMBINE_EQS: (553), (23024) imply:
% 176.58/27.44 | | | | | | | | | | | | | | (23025) all_14_2 = e1
% 176.58/27.44 | | | | | | | | | | | | | |
% 176.58/27.44 | | | | | | | | | | | | | | SIMP: (23025) implies:
% 176.58/27.44 | | | | | | | | | | | | | | (23026) all_14_2 = e1
% 176.58/27.44 | | | | | | | | | | | | | |
% 176.58/27.44 | | | | | | | | | | | | | | REDUCE: (603), (23026) imply:
% 176.58/27.44 | | | | | | | | | | | | | | (23027) ~ (all_61_12 = e1)
% 176.58/27.44 | | | | | | | | | | | | | |
% 176.58/27.44 | | | | | | | | | | | | | | REDUCE: (635), (23026) imply:
% 176.58/27.44 | | | | | | | | | | | | | | (23028) op(e1, e2) = all_65_1
% 176.58/27.44 | | | | | | | | | | | | | |
% 176.58/27.44 | | | | | | | | | | | | | | REDUCE: (637), (23026) imply:
% 176.58/27.44 | | | | | | | | | | | | | | (23029) op(e1, e0) = all_65_3
% 176.58/27.44 | | | | | | | | | | | | | |
% 176.58/27.44 | | | | | | | | | | | | | | REDUCE: (715), (23026) imply:
% 176.58/27.44 | | | | | | | | | | | | | | (23030) op(e2, e1) = all_65_16
% 176.58/27.44 | | | | | | | | | | | | | |
% 176.58/27.44 | | | | | | | | | | | | | | REDUCE: (732), (23026) imply:
% 176.58/27.44 | | | | | | | | | | | | | | (23031) op(e1, e1) = all_65_32
% 176.58/27.44 | | | | | | | | | | | | | |
% 176.58/27.44 | | | | | | | | | | | | | | REDUCE: (749), (23026) imply:
% 176.58/27.44 | | | | | | | | | | | | | | (23032) op(e0, e1) = all_65_49
% 176.58/27.44 | | | | | | | | | | | | | |
% 176.58/27.44 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_11, all_65_49, e1,
% 176.58/27.44 | | | | | | | | | | | | | | e0, simplifying with (224), (23032) gives:
% 176.58/27.44 | | | | | | | | | | | | | | (23033) all_65_49 = all_61_11
% 176.58/27.44 | | | | | | | | | | | | | |
% 176.58/27.44 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_14, all_65_3, e0,
% 176.58/27.44 | | | | | | | | | | | | | | e1, simplifying with (227), (23029) gives:
% 176.58/27.44 | | | | | | | | | | | | | | (23034) all_65_3 = all_61_14
% 176.58/27.44 | | | | | | | | | | | | | |
% 176.58/27.44 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e3, all_65_32, e1, e1,
% 176.58/27.44 | | | | | | | | | | | | | | simplifying with (21466), (23031) gives:
% 176.58/27.44 | | | | | | | | | | | | | | (23035) all_65_32 = e3
% 176.58/27.44 | | | | | | | | | | | | | |
% 176.58/27.44 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_6, all_65_1, e2,
% 176.58/27.44 | | | | | | | | | | | | | | e1, simplifying with (229), (23028) gives:
% 176.58/27.44 | | | | | | | | | | | | | | (23036) all_65_1 = all_61_6
% 176.58/27.44 | | | | | | | | | | | | | |
% 176.58/27.44 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_9, all_65_16, e1,
% 176.58/27.44 | | | | | | | | | | | | | | e2, simplifying with (232), (23030) gives:
% 176.58/27.44 | | | | | | | | | | | | | | (23037) all_65_16 = all_61_9
% 176.58/27.44 | | | | | | | | | | | | | |
% 176.58/27.44 | | | | | | | | | | | | | | BETA: splitting (157) gives:
% 176.58/27.44 | | | | | | | | | | | | | |
% 176.58/27.44 | | | | | | | | | | | | | | Case 1:
% 176.58/27.44 | | | | | | | | | | | | | | |
% 176.58/27.44 | | | | | | | | | | | | | | | (23038) ~ (all_58_3 = e1)
% 176.58/27.44 | | | | | | | | | | | | | | |
% 176.58/27.44 | | | | | | | | | | | | | | | REDUCE: (475), (23038) imply:
% 176.58/27.44 | | | | | | | | | | | | | | | (23039) ~ (all_52_3 = e1)
% 176.58/27.44 | | | | | | | | | | | | | | |
% 176.58/27.44 | | | | | | | | | | | | | | | BETA: splitting (161) gives:
% 176.58/27.44 | | | | | | | | | | | | | | |
% 176.58/27.44 | | | | | | | | | | | | | | | Case 1:
% 176.58/27.44 | | | | | | | | | | | | | | | |
% 176.58/27.44 | | | | | | | | | | | | | | | | (23040) ~ (all_58_2 = e2)
% 176.58/27.44 | | | | | | | | | | | | | | | |
% 176.58/27.44 | | | | | | | | | | | | | | | | REDUCE: (478), (23040) imply:
% 176.58/27.44 | | | | | | | | | | | | | | | | (23041) ~ (all_52_2 = e2)
% 176.58/27.44 | | | | | | | | | | | | | | | |
% 176.58/27.44 | | | | | | | | | | | | | | | | BETA: splitting (158) gives:
% 176.58/27.44 | | | | | | | | | | | | | | | |
% 176.58/27.44 | | | | | | | | | | | | | | | | Case 1:
% 176.58/27.44 | | | | | | | | | | | | | | | | |
% 176.58/27.44 | | | | | | | | | | | | | | | | | (23042) ~ (all_58_3 = e2)
% 176.58/27.44 | | | | | | | | | | | | | | | | |
% 176.58/27.44 | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (50), (148), (149), (159), (185), (232),
% 176.58/27.44 | | | | | | | | | | | | | | | | | (257), (475), (484), (510), (538), (539), (629),
% 176.58/27.44 | | | | | | | | | | | | | | | | | (633), (748), (765), (21457), (21466), (21765),
% 176.58/27.44 | | | | | | | | | | | | | | | | | (22938), (22950), (22977), (22990), (23039),
% 176.58/27.44 | | | | | | | | | | | | | | | | | (23041), (23042) are inconsistent by sub-proof
% 176.58/27.44 | | | | | | | | | | | | | | | | | #28.
% 176.58/27.44 | | | | | | | | | | | | | | | | |
% 176.58/27.44 | | | | | | | | | | | | | | | | Case 2:
% 176.58/27.44 | | | | | | | | | | | | | | | | |
% 176.58/27.44 | | | | | | | | | | | | | | | | | (23043) all_58_3 = e2
% 176.58/27.44 | | | | | | | | | | | | | | | | | (23044) all_58_1 = e0
% 176.58/27.44 | | | | | | | | | | | | | | | | |
% 176.58/27.44 | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (50), (475), (481), (632), (731), (22990),
% 176.58/27.44 | | | | | | | | | | | | | | | | | (23008), (23043), (23044) are inconsistent by
% 176.58/27.44 | | | | | | | | | | | | | | | | | sub-proof #378.
% 176.58/27.44 | | | | | | | | | | | | | | | | |
% 176.58/27.44 | | | | | | | | | | | | | | | | End of split
% 176.58/27.44 | | | | | | | | | | | | | | | |
% 176.58/27.44 | | | | | | | | | | | | | | | Case 2:
% 176.58/27.44 | | | | | | | | | | | | | | | |
% 176.58/27.44 | | | | | | | | | | | | | | | | (23045) all_58_2 = e2
% 176.58/27.44 | | | | | | | | | | | | | | | | (23046) all_58_1 = e1
% 176.58/27.44 | | | | | | | | | | | | | | | |
% 176.58/27.44 | | | | | | | | | | | | | | | | COMBINE_EQS: (481), (23046) imply:
% 176.58/27.44 | | | | | | | | | | | | | | | | (23047) all_52_1 = e1
% 176.58/27.44 | | | | | | | | | | | | | | | |
% 176.58/27.44 | | | | | | | | | | | | | | | | SIMP: (23047) implies:
% 176.58/27.44 | | | | | | | | | | | | | | | | (23048) all_52_1 = e1
% 176.58/27.44 | | | | | | | | | | | | | | | |
% 176.58/27.44 | | | | | | | | | | | | | | | | COMBINE_EQS: (478), (23045) imply:
% 176.58/27.44 | | | | | | | | | | | | | | | | (23049) all_52_2 = e2
% 176.58/27.44 | | | | | | | | | | | | | | | |
% 176.58/27.44 | | | | | | | | | | | | | | | | SIMP: (23049) implies:
% 176.58/27.44 | | | | | | | | | | | | | | | | (23050) all_52_2 = e2
% 176.58/27.44 | | | | | | | | | | | | | | | |
% 176.58/27.44 | | | | | | | | | | | | | | | | REDUCE: (731), (23048) imply:
% 176.58/27.44 | | | | | | | | | | | | | | | | (23051) op(e2, e1) = unit
% 176.58/27.44 | | | | | | | | | | | | | | | |
% 176.58/27.44 | | | | | | | | | | | | | | | | REDUCE: (748), (23050) imply:
% 176.58/27.44 | | | | | | | | | | | | | | | | (23052) op(e1, e2) = unit
% 176.58/27.44 | | | | | | | | | | | | | | | |
% 176.58/27.44 | | | | | | | | | | | | | | | | REF_CLOSE: (9), (50), (229), (232), (659), (23007), (23019),
% 176.58/27.44 | | | | | | | | | | | | | | | | (23051), (23052) are inconsistent by sub-proof
% 176.58/27.44 | | | | | | | | | | | | | | | | #52.
% 176.58/27.44 | | | | | | | | | | | | | | | |
% 176.58/27.44 | | | | | | | | | | | | | | | End of split
% 176.58/27.44 | | | | | | | | | | | | | | |
% 176.58/27.44 | | | | | | | | | | | | | | Case 2:
% 176.58/27.44 | | | | | | | | | | | | | | |
% 176.58/27.44 | | | | | | | | | | | | | | | (23053) all_58_3 = e1
% 176.58/27.44 | | | | | | | | | | | | | | | (23054) all_58_2 = e0
% 176.58/27.44 | | | | | | | | | | | | | | |
% 176.58/27.44 | | | | | | | | | | | | | | | COMBINE_EQS: (478), (23054) imply:
% 176.58/27.44 | | | | | | | | | | | | | | | (23055) all_52_2 = e0
% 176.58/27.44 | | | | | | | | | | | | | | |
% 176.58/27.44 | | | | | | | | | | | | | | | SIMP: (23055) implies:
% 176.58/27.44 | | | | | | | | | | | | | | | (23056) all_52_2 = e0
% 176.58/27.44 | | | | | | | | | | | | | | |
% 176.58/27.44 | | | | | | | | | | | | | | | COMBINE_EQS: (475), (23053) imply:
% 176.58/27.44 | | | | | | | | | | | | | | | (23057) all_52_3 = e1
% 176.58/27.44 | | | | | | | | | | | | | | |
% 176.58/27.44 | | | | | | | | | | | | | | | REDUCE: (748), (23056) imply:
% 176.58/27.44 | | | | | | | | | | | | | | | (23058) op(e1, e0) = unit
% 176.58/27.44 | | | | | | | | | | | | | | |
% 176.58/27.44 | | | | | | | | | | | | | | | REDUCE: (765), (23057) imply:
% 176.58/27.44 | | | | | | | | | | | | | | | (23059) op(e0, e1) = unit
% 176.58/27.44 | | | | | | | | | | | | | | |
% 176.58/27.44 | | | | | | | | | | | | | | | REF_CLOSE: (8), (50), (224), (227), (680), (746), (21518),
% 176.58/27.44 | | | | | | | | | | | | | | | (21525), (23027), (23058), (23059) are
% 176.58/27.44 | | | | | | | | | | | | | | | inconsistent by sub-proof #27.
% 176.58/27.44 | | | | | | | | | | | | | | |
% 176.58/27.44 | | | | | | | | | | | | | | End of split
% 176.58/27.44 | | | | | | | | | | | | | |
% 176.58/27.44 | | | | | | | | | | | | | End of split
% 176.58/27.44 | | | | | | | | | | | | |
% 176.58/27.44 | | | | | | | | | | | | Case 2:
% 176.58/27.44 | | | | | | | | | | | | |
% 176.58/27.44 | | | | | | | | | | | | | (23060) all_36_2 = e0
% 176.58/27.44 | | | | | | | | | | | | | (23061) op(e3, e0) = all_36_1 & $i(all_36_1) & ( ~
% 176.58/27.44 | | | | | | | | | | | | | (all_36_1 = e2) | ( ~ (all_36_0 = e1) & op(e2,
% 176.58/27.44 | | | | | | | | | | | | | e3) = all_36_0 & $i(all_36_0)))
% 176.58/27.44 | | | | | | | | | | | | |
% 176.58/27.44 | | | | | | | | | | | | | ALPHA: (23061) implies:
% 176.58/27.44 | | | | | | | | | | | | | (23062) op(e3, e0) = all_36_1
% 176.58/27.44 | | | | | | | | | | | | |
% 176.58/27.44 | | | | | | | | | | | | | COMBINE_EQS: (557), (23060) imply:
% 176.58/27.44 | | | | | | | | | | | | | (23063) all_14_2 = e0
% 176.58/27.44 | | | | | | | | | | | | |
% 176.58/27.44 | | | | | | | | | | | | | REDUCE: (634), (23063) imply:
% 176.58/27.44 | | | | | | | | | | | | | (23064) op(e0, e3) = all_65_0
% 176.58/27.44 | | | | | | | | | | | | |
% 176.58/27.44 | | | | | | | | | | | | | REDUCE: (21538), (23063) imply:
% 176.58/27.44 | | | | | | | | | | | | | (23065) op(e0, e1) = all_65_32
% 176.58/27.44 | | | | | | | | | | | | |
% 176.58/27.44 | | | | | | | | | | | | | REDUCE: (637), (23063) imply:
% 176.58/27.44 | | | | | | | | | | | | | (23066) op(e0, e0) = all_65_3
% 176.58/27.44 | | | | | | | | | | | | |
% 176.58/27.44 | | | | | | | | | | | | | REDUCE: (698), (23063) imply:
% 176.58/27.44 | | | | | | | | | | | | | (23067) op(e3, e0) = all_65_0
% 176.58/27.44 | | | | | | | | | | | | |
% 176.58/27.44 | | | | | | | | | | | | | REDUCE: (715), (23063) imply:
% 176.58/27.44 | | | | | | | | | | | | | (23068) op(e2, e0) = all_65_16
% 176.58/27.44 | | | | | | | | | | | | |
% 176.58/27.44 | | | | | | | | | | | | | REDUCE: (732), (23063) imply:
% 176.58/27.44 | | | | | | | | | | | | | (23069) op(e1, e0) = all_65_32
% 176.58/27.44 | | | | | | | | | | | | |
% 176.58/27.44 | | | | | | | | | | | | | REDUCE: (749), (23063) imply:
% 176.58/27.44 | | | | | | | | | | | | | (23070) op(e0, e0) = all_65_49
% 176.58/27.44 | | | | | | | | | | | | |
% 176.58/27.44 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e2, all_65_3, e0, e0,
% 176.58/27.44 | | | | | | | | | | | | | simplifying with (22950), (23066) gives:
% 176.58/27.44 | | | | | | | | | | | | | (23071) all_65_3 = e2
% 176.58/27.44 | | | | | | | | | | | | |
% 176.58/27.44 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_49, all_65_3, e0,
% 176.58/27.44 | | | | | | | | | | | | | e0, simplifying with (23066), (23070) gives:
% 176.58/27.44 | | | | | | | | | | | | | (23072) all_65_3 = all_65_49
% 176.58/27.44 | | | | | | | | | | | | |
% 176.58/27.44 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_11, all_65_32, e1,
% 176.58/27.44 | | | | | | | | | | | | | e0, simplifying with (224), (23065) gives:
% 176.58/27.44 | | | | | | | | | | | | | (23073) all_65_32 = all_61_11
% 176.58/27.44 | | | | | | | | | | | | |
% 176.58/27.44 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_3, all_65_0, e3,
% 176.58/27.44 | | | | | | | | | | | | | e0, simplifying with (226), (23064) gives:
% 176.58/27.44 | | | | | | | | | | | | | (23074) all_65_0 = all_61_3
% 176.58/27.44 | | | | | | | | | | | | |
% 176.58/27.44 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_14, all_65_32, e0,
% 176.58/27.44 | | | | | | | | | | | | | e1, simplifying with (227), (23069) gives:
% 176.58/27.44 | | | | | | | | | | | | | (23075) all_65_32 = all_61_14
% 176.58/27.44 | | | | | | | | | | | | |
% 176.58/27.44 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_20_1, all_65_16, e0,
% 176.58/27.44 | | | | | | | | | | | | | e2, simplifying with (22990), (23068) gives:
% 176.58/27.44 | | | | | | | | | | | | | (23076) all_65_16 = all_20_1
% 176.58/27.44 | | | | | | | | | | | | |
% 176.58/27.44 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_12, all_65_0, e0,
% 176.58/27.44 | | | | | | | | | | | | | e3, simplifying with (235), (23067) gives:
% 176.58/27.44 | | | | | | | | | | | | | (23077) all_65_0 = all_61_12
% 176.58/27.44 | | | | | | | | | | | | |
% 176.58/27.44 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_36_1, all_65_0, e0,
% 176.58/27.44 | | | | | | | | | | | | | e3, simplifying with (23062), (23067) gives:
% 176.58/27.44 | | | | | | | | | | | | | (23078) all_65_0 = all_36_1
% 176.58/27.44 | | | | | | | | | | | | |
% 176.58/27.44 | | | | | | | | | | | | | COMBINE_EQS: (23074), (23078) imply:
% 176.58/27.44 | | | | | | | | | | | | | (23079) all_61_3 = all_36_1
% 176.58/27.44 | | | | | | | | | | | | |
% 176.58/27.44 | | | | | | | | | | | | | SIMP: (23079) implies:
% 176.58/27.44 | | | | | | | | | | | | | (23080) all_61_3 = all_36_1
% 176.58/27.44 | | | | | | | | | | | | |
% 176.58/27.44 | | | | | | | | | | | | | COMBINE_EQS: (23077), (23078) imply:
% 176.58/27.44 | | | | | | | | | | | | | (23081) all_61_12 = all_36_1
% 176.58/27.44 | | | | | | | | | | | | |
% 176.58/27.44 | | | | | | | | | | | | | SIMP: (23081) implies:
% 176.58/27.44 | | | | | | | | | | | | | (23082) all_61_12 = all_36_1
% 176.58/27.44 | | | | | | | | | | | | |
% 176.58/27.44 | | | | | | | | | | | | | COMBINE_EQS: (23071), (23072) imply:
% 176.58/27.44 | | | | | | | | | | | | | (23083) all_65_49 = e2
% 176.58/27.44 | | | | | | | | | | | | |
% 176.58/27.44 | | | | | | | | | | | | | COMBINE_EQS: (23073), (23075) imply:
% 176.58/27.44 | | | | | | | | | | | | | (23084) all_61_11 = all_61_14
% 176.58/27.44 | | | | | | | | | | | | |
% 176.58/27.44 | | | | | | | | | | | | | SIMP: (23084) implies:
% 176.58/27.44 | | | | | | | | | | | | | (23085) all_61_11 = all_61_14
% 176.58/27.44 | | | | | | | | | | | | |
% 176.58/27.44 | | | | | | | | | | | | | REDUCE: (22977), (23085) imply:
% 176.58/27.44 | | | | | | | | | | | | | (23086) ~ (all_61_14 = all_20_1)
% 176.58/27.44 | | | | | | | | | | | | |
% 176.58/27.44 | | | | | | | | | | | | | REDUCE: (179), (23082) imply:
% 176.58/27.44 | | | | | | | | | | | | | (23087) ~ (all_61_14 = all_36_1)
% 176.58/27.44 | | | | | | | | | | | | |
% 176.58/27.44 | | | | | | | | | | | | | SIMP: (23087) implies:
% 176.58/27.44 | | | | | | | | | | | | | (23088) ~ (all_61_14 = all_36_1)
% 176.58/27.44 | | | | | | | | | | | | |
% 176.58/27.44 | | | | | | | | | | | | | REDUCE: (21518), (23080), (23085) imply:
% 176.58/27.44 | | | | | | | | | | | | | (23089) op(all_61_14, e1) = all_36_1
% 176.58/27.44 | | | | | | | | | | | | |
% 176.58/27.44 | | | | | | | | | | | | | REDUCE: (693), (23085) imply:
% 176.58/27.44 | | | | | | | | | | | | | (23090) op(all_61_14, e0) = all_65_71
% 176.58/27.44 | | | | | | | | | | | | |
% 176.58/27.44 | | | | | | | | | | | | | REDUCE: (22992), (23085) imply:
% 176.58/27.44 | | | | | | | | | | | | | (23091) op(e0, all_61_14) = all_61_9
% 176.58/27.44 | | | | | | | | | | | | |
% 176.58/27.44 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_71, all_61_9,
% 176.58/27.44 | | | | | | | | | | | | | all_61_14, e0, simplifying with (760), (23091)
% 176.58/27.44 | | | | | | | | | | | | | gives:
% 176.58/27.44 | | | | | | | | | | | | | (23092) all_65_71 = all_61_9
% 176.58/27.44 | | | | | | | | | | | | |
% 176.58/27.44 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_6, all_65_71, e0,
% 176.58/27.44 | | | | | | | | | | | | | all_61_14, simplifying with (22987), (23090)
% 176.58/27.44 | | | | | | | | | | | | | gives:
% 176.58/27.44 | | | | | | | | | | | | | (23093) all_65_71 = all_61_6
% 176.58/27.44 | | | | | | | | | | | | |
% 176.58/27.44 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_46, all_36_1, e1,
% 176.58/27.44 | | | | | | | | | | | | | all_61_14, simplifying with (680), (23089) gives:
% 176.58/27.44 | | | | | | | | | | | | | (23094) all_65_46 = all_36_1
% 176.58/27.44 | | | | | | | | | | | | |
% 176.58/27.44 | | | | | | | | | | | | | COMBINE_EQS: (23092), (23093) imply:
% 176.58/27.44 | | | | | | | | | | | | | (23095) all_61_6 = all_61_9
% 176.58/27.44 | | | | | | | | | | | | |
% 176.58/27.44 | | | | | | | | | | | | | REDUCE: (193), (23095) imply:
% 176.58/27.44 | | | | | | | | | | | | | (23096) ~ (all_61_9 = all_61_14)
% 176.58/27.44 | | | | | | | | | | | | |
% 176.58/27.44 | | | | | | | | | | | | | REDUCE: (23019), (23095) imply:
% 176.58/27.44 | | | | | | | | | | | | | (23097) op(all_61_9, e2) = all_61_9
% 176.58/27.44 | | | | | | | | | | | | |
% 176.58/27.44 | | | | | | | | | | | | | REDUCE: (22987), (23095) imply:
% 176.58/27.44 | | | | | | | | | | | | | (23098) op(all_61_14, e0) = all_61_9
% 176.58/27.44 | | | | | | | | | | | | |
% 176.58/27.44 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_25, all_61_9, e2,
% 176.58/27.44 | | | | | | | | | | | | | all_61_9, simplifying with (659), (23097) gives:
% 176.58/27.44 | | | | | | | | | | | | | (23099) all_65_25 = all_61_9
% 176.58/27.44 | | | | | | | | | | | | |
% 176.58/27.44 | | | | | | | | | | | | | BETA: splitting (157) gives:
% 176.58/27.44 | | | | | | | | | | | | |
% 176.58/27.44 | | | | | | | | | | | | | Case 1:
% 176.58/27.44 | | | | | | | | | | | | | |
% 176.58/27.44 | | | | | | | | | | | | | | (23100) ~ (all_58_3 = e1)
% 176.58/27.44 | | | | | | | | | | | | | |
% 176.58/27.44 | | | | | | | | | | | | | | REDUCE: (475), (23100) imply:
% 176.58/27.44 | | | | | | | | | | | | | | (23101) ~ (all_52_3 = e1)
% 176.58/27.44 | | | | | | | | | | | | | |
% 176.58/27.44 | | | | | | | | | | | | | | BETA: splitting (161) gives:
% 176.58/27.44 | | | | | | | | | | | | | |
% 176.58/27.44 | | | | | | | | | | | | | | Case 1:
% 176.58/27.44 | | | | | | | | | | | | | | |
% 176.58/27.44 | | | | | | | | | | | | | | | (23102) ~ (all_58_2 = e2)
% 176.58/27.44 | | | | | | | | | | | | | | |
% 176.58/27.44 | | | | | | | | | | | | | | | REDUCE: (478), (23102) imply:
% 176.58/27.44 | | | | | | | | | | | | | | | (23103) ~ (all_52_2 = e2)
% 176.58/27.44 | | | | | | | | | | | | | | |
% 176.58/27.44 | | | | | | | | | | | | | | | BETA: splitting (159) gives:
% 176.58/27.44 | | | | | | | | | | | | | | |
% 176.58/27.44 | | | | | | | | | | | | | | | Case 1:
% 176.58/27.44 | | | | | | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | | | | | | (23104) ~ (all_58_3 = e3)
% 176.58/27.45 | | | | | | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | | | | | | REDUCE: (475), (23104) imply:
% 176.58/27.45 | | | | | | | | | | | | | | | | (23105) ~ (all_52_3 = e3)
% 176.58/27.45 | | | | | | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | | | | | | BETA: splitting (158) gives:
% 176.58/27.45 | | | | | | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | | | | | | Case 1:
% 176.58/27.45 | | | | | | | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | | | | | | | (23106) ~ (all_58_3 = e2)
% 176.58/27.45 | | | | | | | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | | | | | | | REDUCE: (475), (23106) imply:
% 176.58/27.45 | | | | | | | | | | | | | | | | | (23107) ~ (all_52_3 = e2)
% 176.58/27.45 | | | | | | | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (50), (148), (232), (260), (505), (539),
% 176.58/27.45 | | | | | | | | | | | | | | | | | (765), (21458), (22941), (22950), (22990),
% 176.58/27.45 | | | | | | | | | | | | | | | | | (23086), (23096), (23101), (23105), (23107) are
% 176.58/27.45 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #26.
% 176.58/27.45 | | | | | | | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | | | | | | Case 2:
% 176.58/27.45 | | | | | | | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | | | | | | | (23108) all_58_3 = e2
% 176.58/27.45 | | | | | | | | | | | | | | | | | (23109) all_58_1 = e0
% 176.58/27.45 | | | | | | | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (50), (475), (481), (632), (731), (22990),
% 176.58/27.45 | | | | | | | | | | | | | | | | | (23008), (23108), (23109) are inconsistent by
% 176.58/27.45 | | | | | | | | | | | | | | | | | sub-proof #378.
% 176.58/27.45 | | | | | | | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | | | | | | End of split
% 176.58/27.45 | | | | | | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | | | | | Case 2:
% 176.58/27.45 | | | | | | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | | | | | | (23110) all_58_3 = e3
% 176.58/27.45 | | | | | | | | | | | | | | | | (23111) all_58_0 = e0
% 176.58/27.45 | | | | | | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | | | | | | REF_CLOSE: (50), (149), (475), (484), (538), (629), (633),
% 176.58/27.45 | | | | | | | | | | | | | | | | (748), (21466), (21765), (23103), (23110), (23111)
% 176.58/27.45 | | | | | | | | | | | | | | | | are inconsistent by sub-proof #33.
% 176.58/27.45 | | | | | | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | | | | | End of split
% 176.58/27.45 | | | | | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | | | | Case 2:
% 176.58/27.45 | | | | | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | | | | | (23112) all_58_1 = e1
% 176.58/27.45 | | | | | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | | | | | COMBINE_EQS: (481), (23112) imply:
% 176.58/27.45 | | | | | | | | | | | | | | | (23113) all_52_1 = e1
% 176.58/27.45 | | | | | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | | | | | SIMP: (23113) implies:
% 176.58/27.45 | | | | | | | | | | | | | | | (23114) all_52_1 = e1
% 176.58/27.45 | | | | | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | | | | | REDUCE: (731), (23114) imply:
% 176.58/27.45 | | | | | | | | | | | | | | | (23115) op(e2, e1) = unit
% 176.58/27.45 | | | | | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | | | | | REF_CLOSE: (9), (50), (232), (23007), (23097), (23115) are
% 176.58/27.45 | | | | | | | | | | | | | | | inconsistent by sub-proof #25.
% 176.58/27.45 | | | | | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | | | | End of split
% 176.58/27.45 | | | | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | | | Case 2:
% 176.58/27.45 | | | | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | | | | (23116) all_58_2 = e0
% 176.58/27.45 | | | | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | | | | COMBINE_EQS: (478), (23116) imply:
% 176.58/27.45 | | | | | | | | | | | | | | (23117) all_52_2 = e0
% 176.58/27.45 | | | | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | | | | REDUCE: (748), (23117) imply:
% 176.58/27.45 | | | | | | | | | | | | | | (23118) op(e1, e0) = unit
% 176.58/27.45 | | | | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_14, unit, e0, e1,
% 176.58/27.45 | | | | | | | | | | | | | | simplifying with (227), (23118) gives:
% 176.58/27.45 | | | | | | | | | | | | | | (23119) all_61_14 = unit
% 176.58/27.45 | | | | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | | | | REDUCE: (23096), (23119) imply:
% 176.58/27.45 | | | | | | | | | | | | | | (23120) ~ (all_61_9 = unit)
% 176.58/27.45 | | | | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | | | | REDUCE: (23088), (23119) imply:
% 176.58/27.45 | | | | | | | | | | | | | | (23121) ~ (all_36_1 = unit)
% 176.58/27.45 | | | | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | | | | SIMP: (23121) implies:
% 176.58/27.45 | | | | | | | | | | | | | | (23122) ~ (all_36_1 = unit)
% 176.58/27.45 | | | | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | | | | REDUCE: (22941), (23119) imply:
% 176.58/27.45 | | | | | | | | | | | | | | (23123) ~ (unit = e2)
% 176.58/27.45 | | | | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | | | | REDUCE: (23089), (23119) imply:
% 176.58/27.45 | | | | | | | | | | | | | | (23124) op(unit, e1) = all_36_1
% 176.58/27.45 | | | | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | | | | REDUCE: (23098), (23119) imply:
% 176.58/27.45 | | | | | | | | | | | | | | (23125) op(unit, e0) = all_61_9
% 176.58/27.45 | | | | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e0, all_61_9, e0, unit,
% 176.58/27.45 | | | | | | | | | | | | | | simplifying with (7), (23125) gives:
% 176.58/27.45 | | | | | | | | | | | | | | (23126) all_61_9 = e0
% 176.58/27.45 | | | | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e1, all_36_1, e1, unit,
% 176.58/27.45 | | | | | | | | | | | | | | simplifying with (8), (23124) gives:
% 176.58/27.45 | | | | | | | | | | | | | | (23127) all_36_1 = e1
% 176.58/27.45 | | | | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | | | | REDUCE: (23120), (23126) imply:
% 176.58/27.45 | | | | | | | | | | | | | | (23128) ~ (unit = e0)
% 176.58/27.45 | | | | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | | | | SIMP: (23128) implies:
% 176.58/27.45 | | | | | | | | | | | | | | (23129) ~ (unit = e0)
% 176.58/27.45 | | | | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | | | | REDUCE: (23122), (23127) imply:
% 176.58/27.45 | | | | | | | | | | | | | | (23130) ~ (unit = e1)
% 176.58/27.45 | | | | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | | | | SIMP: (23130) implies:
% 176.58/27.45 | | | | | | | | | | | | | | (23131) ~ (unit = e1)
% 176.58/27.45 | | | | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | | | | REF_CLOSE: (21766), (23123), (23129), (23131) are
% 176.58/27.45 | | | | | | | | | | | | | | inconsistent by sub-proof #398.
% 176.58/27.45 | | | | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | | | End of split
% 176.58/27.45 | | | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | | End of split
% 176.58/27.45 | | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | Case 2:
% 176.58/27.45 | | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | | (23132) all_63_5 = e1 | all_63_5 = e0
% 176.58/27.45 | | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | | REF_CLOSE: (587), (21768), (22999), (23132) are inconsistent
% 176.58/27.45 | | | | | | | | | | | | by sub-proof #524.
% 176.58/27.45 | | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | End of split
% 176.58/27.45 | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | End of split
% 176.58/27.45 | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | Case 2:
% 176.58/27.45 | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | (23133) all_22_2 = e0
% 176.58/27.45 | | | | | | | | | | (23134) op(e2, e0) = all_22_1 & $i(all_22_1) & ( ~
% 176.58/27.45 | | | | | | | | | | (all_22_1 = e1) | ( ~ (all_22_0 = e3) & op(e1,
% 176.58/27.45 | | | | | | | | | | e2) = all_22_0 & $i(all_22_0)))
% 176.58/27.45 | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | ALPHA: (23134) implies:
% 176.58/27.45 | | | | | | | | | | (23135) op(e2, e0) = all_22_1
% 176.58/27.45 | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | COMBINE_EQS: (449), (23133) imply:
% 176.58/27.45 | | | | | | | | | | (23136) all_6_2 = e0
% 176.58/27.45 | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | COMBINE_EQS: (580), (23136) imply:
% 176.58/27.45 | | | | | | | | | | (23137) all_38_2 = e0
% 176.58/27.45 | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | REDUCE: (604), (23136) imply:
% 176.58/27.45 | | | | | | | | | | (23138) ~ (all_61_1 = e0)
% 176.58/27.45 | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | REDUCE: (609), (23136) imply:
% 176.58/27.45 | | | | | | | | | | (23139) ~ (all_61_6 = e0)
% 176.58/27.45 | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | REDUCE: (22980), (23136) imply:
% 176.58/27.45 | | | | | | | | | | (23140) ~ (all_20_1 = e0)
% 176.58/27.45 | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | REDUCE: (21768), (23136) imply:
% 176.58/27.45 | | | | | | | | | | (23141) ~ (e1 = e0)
% 176.58/27.45 | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | REDUCE: (654), (23136) imply:
% 176.58/27.45 | | | | | | | | | | (23142) op(e0, e3) = all_65_20
% 176.58/27.45 | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | REDUCE: (656), (23136) imply:
% 176.58/27.45 | | | | | | | | | | (23143) op(e0, e1) = all_65_22
% 176.58/27.45 | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | REDUCE: (703), (23136) imply:
% 176.58/27.45 | | | | | | | | | | (23144) op(e3, e0) = all_65_5
% 176.58/27.45 | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | REDUCE: (720), (23136) imply:
% 176.58/27.45 | | | | | | | | | | (23145) op(e2, e0) = all_65_21
% 176.58/27.45 | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | REDUCE: (737), (23136) imply:
% 176.58/27.45 | | | | | | | | | | (23146) op(e1, e0) = all_65_37
% 176.58/27.45 | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | REDUCE: (754), (23136) imply:
% 176.58/27.45 | | | | | | | | | | (23147) op(e0, e0) = all_65_59
% 176.58/27.45 | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | BETA: splitting (104) gives:
% 176.58/27.45 | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | Case 1:
% 176.58/27.45 | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | (23148) ~ (all_38_2 = e0)
% 176.58/27.45 | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | REDUCE: (23137), (23148) imply:
% 176.58/27.45 | | | | | | | | | | | (23149) $false
% 176.58/27.45 | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | CLOSE: (23149) is inconsistent.
% 176.58/27.45 | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | Case 2:
% 176.58/27.45 | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | (23150) op(e2, e0) = all_38_1 & $i(all_38_1) & ( ~
% 176.58/27.45 | | | | | | | | | | | (all_38_1 = e3) | ( ~ (all_38_0 = e1) & op(e3,
% 176.58/27.45 | | | | | | | | | | | e2) = all_38_0 & $i(all_38_0)))
% 176.58/27.45 | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | ALPHA: (23150) implies:
% 176.58/27.45 | | | | | | | | | | | (23151) op(e2, e0) = all_38_1
% 176.58/27.45 | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | GROUND_INST: instantiating (50) with e2, all_65_59, e0, e0,
% 176.58/27.45 | | | | | | | | | | | simplifying with (22950), (23147) gives:
% 176.58/27.45 | | | | | | | | | | | (23152) all_65_59 = e2
% 176.58/27.45 | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_11, all_65_22, e1,
% 176.58/27.45 | | | | | | | | | | | e0, simplifying with (224), (23143) gives:
% 176.58/27.45 | | | | | | | | | | | (23153) all_65_22 = all_61_11
% 176.58/27.45 | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_3, all_65_20, e3,
% 176.58/27.45 | | | | | | | | | | | e0, simplifying with (226), (23142) gives:
% 176.58/27.45 | | | | | | | | | | | (23154) all_65_20 = all_61_3
% 176.58/27.45 | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_14, all_65_37, e0,
% 176.58/27.45 | | | | | | | | | | | e1, simplifying with (227), (23146) gives:
% 176.58/27.45 | | | | | | | | | | | (23155) all_65_37 = all_61_14
% 176.58/27.45 | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | GROUND_INST: instantiating (50) with all_20_1, all_38_1, e0,
% 176.58/27.45 | | | | | | | | | | | e2, simplifying with (22990), (23151) gives:
% 176.58/27.45 | | | | | | | | | | | (23156) all_38_1 = all_20_1
% 176.58/27.45 | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | GROUND_INST: instantiating (50) with all_38_1, all_65_21, e0,
% 176.58/27.45 | | | | | | | | | | | e2, simplifying with (23145), (23151) gives:
% 176.58/27.45 | | | | | | | | | | | (23157) all_65_21 = all_38_1
% 176.58/27.45 | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | GROUND_INST: instantiating (50) with all_22_1, all_65_21, e0,
% 176.58/27.45 | | | | | | | | | | | e2, simplifying with (23135), (23145) gives:
% 176.58/27.45 | | | | | | | | | | | (23158) all_65_21 = all_22_1
% 176.58/27.45 | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_12, all_65_5, e0,
% 176.58/27.45 | | | | | | | | | | | e3, simplifying with (235), (23144) gives:
% 176.58/27.45 | | | | | | | | | | | (23159) all_65_5 = all_61_12
% 176.58/27.45 | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | COMBINE_EQS: (23157), (23158) imply:
% 176.58/27.45 | | | | | | | | | | | (23160) all_38_1 = all_22_1
% 176.58/27.45 | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | SIMP: (23160) implies:
% 176.58/27.45 | | | | | | | | | | | (23161) all_38_1 = all_22_1
% 176.58/27.45 | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | COMBINE_EQS: (23156), (23161) imply:
% 176.58/27.45 | | | | | | | | | | | (23162) all_22_1 = all_20_1
% 176.58/27.45 | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | SIMP: (23162) implies:
% 176.58/27.45 | | | | | | | | | | | (23163) all_22_1 = all_20_1
% 176.58/27.45 | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | REDUCE: (671), (23155) imply:
% 176.58/27.45 | | | | | | | | | | | (23164) op(all_61_6, e2) = all_61_14
% 176.58/27.45 | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | REDUCE: (721), (23153) imply:
% 176.58/27.45 | | | | | | | | | | | (23165) op(e2, all_61_9) = all_61_11
% 176.58/27.45 | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | BETA: splitting (101) gives:
% 176.58/27.45 | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | Case 1:
% 176.58/27.45 | | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | | (23166) ~ (all_36_2 = e0)
% 176.58/27.45 | | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | | REDUCE: (557), (23166) imply:
% 176.58/27.45 | | | | | | | | | | | | (23167) ~ (all_14_2 = e0)
% 176.58/27.45 | | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | | BETA: splitting (107) gives:
% 176.58/27.45 | | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | | Case 1:
% 176.58/27.45 | | | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | | | (23168) ~ (all_40_2 = e1)
% 176.58/27.45 | | | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | | | REDUCE: (553), (23168) imply:
% 176.58/27.45 | | | | | | | | | | | | | (23169) ~ (all_14_2 = e1)
% 176.58/27.45 | | | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | | | REF_CLOSE: (10), (50), (67), (151), (159), (162), (165),
% 176.58/27.45 | | | | | | | | | | | | | (166), (167), (168), (226), (230), (234), (235),
% 176.58/27.45 | | | | | | | | | | | | | (236), (237), (271), (475), (478), (481), (484),
% 176.58/27.45 | | | | | | | | | | | | | (534), (588), (599), (601), (603), (635), (636),
% 176.58/27.45 | | | | | | | | | | | | | (637), (638), (642), (646), (650), (666), (682),
% 176.58/27.45 | | | | | | | | | | | | | (698), (714), (715), (731), (732), (748), (749),
% 176.58/27.45 | | | | | | | | | | | | | (765), (21765), (21769), (23167), (23169) are
% 176.58/27.45 | | | | | | | | | | | | | inconsistent by sub-proof #502.
% 176.58/27.45 | | | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | | Case 2:
% 176.58/27.45 | | | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | | | (23170) all_40_2 = e1
% 176.58/27.45 | | | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | | | COMBINE_EQS: (553), (23170) imply:
% 176.58/27.45 | | | | | | | | | | | | | (23171) all_14_2 = e1
% 176.58/27.45 | | | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | | | REDUCE: (603), (23171) imply:
% 176.58/27.45 | | | | | | | | | | | | | (23172) ~ (all_61_12 = e1)
% 176.58/27.45 | | | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | | | REDUCE: (635), (23171) imply:
% 176.58/27.45 | | | | | | | | | | | | | (23173) op(e1, e2) = all_65_1
% 176.58/27.45 | | | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | | | REDUCE: (637), (23171) imply:
% 176.58/27.45 | | | | | | | | | | | | | (23174) op(e1, e0) = all_65_3
% 176.58/27.45 | | | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | | | REDUCE: (715), (23171) imply:
% 176.58/27.45 | | | | | | | | | | | | | (23175) op(e2, e1) = all_65_16
% 176.58/27.45 | | | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | | | REDUCE: (732), (23171) imply:
% 176.58/27.45 | | | | | | | | | | | | | (23176) op(e1, e1) = all_65_32
% 176.58/27.45 | | | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | | | REDUCE: (749), (23171) imply:
% 176.58/27.45 | | | | | | | | | | | | | (23177) op(e0, e1) = all_65_49
% 176.58/27.45 | | | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_11, all_65_49, e1,
% 176.58/27.45 | | | | | | | | | | | | | e0, simplifying with (224), (23177) gives:
% 176.58/27.45 | | | | | | | | | | | | | (23178) all_65_49 = all_61_11
% 176.58/27.45 | | | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_14, all_65_3, e0,
% 176.58/27.45 | | | | | | | | | | | | | e1, simplifying with (227), (23174) gives:
% 176.58/27.45 | | | | | | | | | | | | | (23179) all_65_3 = all_61_14
% 176.58/27.45 | | | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e3, all_65_32, e1, e1,
% 176.58/27.45 | | | | | | | | | | | | | simplifying with (21466), (23176) gives:
% 176.58/27.45 | | | | | | | | | | | | | (23180) all_65_32 = e3
% 176.58/27.45 | | | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_6, all_65_1, e2,
% 176.58/27.45 | | | | | | | | | | | | | e1, simplifying with (229), (23173) gives:
% 176.58/27.45 | | | | | | | | | | | | | (23181) all_65_1 = all_61_6
% 176.58/27.45 | | | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_9, all_65_16, e1,
% 176.58/27.45 | | | | | | | | | | | | | e2, simplifying with (232), (23175) gives:
% 176.58/27.45 | | | | | | | | | | | | | (23182) all_65_16 = all_61_9
% 176.58/27.45 | | | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | | | BETA: splitting (161) gives:
% 176.58/27.45 | | | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | | | Case 1:
% 176.58/27.45 | | | | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | | | | (23183) ~ (all_58_2 = e2)
% 176.58/27.45 | | | | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | | | | REDUCE: (478), (23183) imply:
% 176.58/27.45 | | | | | | | | | | | | | | (23184) ~ (all_52_2 = e2)
% 176.58/27.45 | | | | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | | | | BETA: splitting (157) gives:
% 176.58/27.45 | | | | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | | | | Case 1:
% 176.58/27.45 | | | | | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | | | | | (23185) ~ (all_58_3 = e1)
% 176.58/27.45 | | | | | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | | | | | REDUCE: (475), (23185) imply:
% 176.58/27.45 | | | | | | | | | | | | | | | (23186) ~ (all_52_3 = e1)
% 176.58/27.45 | | | | | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | | | | | BETA: splitting (163) gives:
% 176.58/27.45 | | | | | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | | | | | Case 1:
% 176.58/27.45 | | | | | | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | | | | | | (23187) ~ (all_58_1 = e0)
% 176.58/27.45 | | | | | | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | | | | | | REDUCE: (481), (23187) imply:
% 176.58/27.45 | | | | | | | | | | | | | | | | (23188) ~ (all_52_1 = e0)
% 176.58/27.45 | | | | | | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | | | | | | BETA: splitting (158) gives:
% 176.58/27.45 | | | | | | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | | | | | | Case 1:
% 176.58/27.45 | | | | | | | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | | | | | | | (23189) ~ (all_58_3 = e2)
% 176.58/27.45 | | | | | | | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (50), (148), (149), (159), (185), (232),
% 176.58/27.45 | | | | | | | | | | | | | | | | | (257), (475), (484), (510), (538), (539), (629),
% 176.58/27.45 | | | | | | | | | | | | | | | | | (633), (748), (765), (21457), (21466), (21765),
% 176.58/27.45 | | | | | | | | | | | | | | | | | (22938), (22950), (22977), (22990), (23184),
% 176.58/27.45 | | | | | | | | | | | | | | | | | (23186), (23189) are inconsistent by sub-proof
% 176.58/27.45 | | | | | | | | | | | | | | | | | #28.
% 176.58/27.45 | | | | | | | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | | | | | | Case 2:
% 176.58/27.45 | | | | | | | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | | | | | | | (23190) all_58_1 = e0
% 176.58/27.45 | | | | | | | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | | | | | | | REF_CLOSE: (481), (23188), (23190) are inconsistent by
% 176.58/27.45 | | | | | | | | | | | | | | | | | sub-proof #462.
% 176.58/27.45 | | | | | | | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | | | | | | End of split
% 176.58/27.45 | | | | | | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | | | | | Case 2:
% 176.58/27.45 | | | | | | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | | | | | | (23191) all_58_1 = e0
% 176.58/27.45 | | | | | | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | | | | | | COMBINE_EQS: (481), (23191) imply:
% 176.58/27.45 | | | | | | | | | | | | | | | | (23192) all_52_1 = e0
% 176.58/27.45 | | | | | | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | | | | | | SIMP: (23192) implies:
% 176.58/27.45 | | | | | | | | | | | | | | | | (23193) all_52_1 = e0
% 176.58/27.45 | | | | | | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | | | | | | REDUCE: (731), (23193) imply:
% 176.58/27.45 | | | | | | | | | | | | | | | | (23194) op(e2, e0) = unit
% 176.58/27.45 | | | | | | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_20_1, unit, e0, e2,
% 176.58/27.45 | | | | | | | | | | | | | | | | simplifying with (22990), (23194) gives:
% 176.58/27.45 | | | | | | | | | | | | | | | | (23195) all_20_1 = unit
% 176.58/27.45 | | | | | | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | | | | | | REDUCE: (22974), (23195) imply:
% 176.58/27.45 | | | | | | | | | | | | | | | | (23196) ~ (all_61_1 = unit)
% 176.58/27.45 | | | | | | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | | | | | | REDUCE: (22975), (23195) imply:
% 176.58/27.45 | | | | | | | | | | | | | | | | (23197) ~ (all_61_3 = unit)
% 176.58/27.45 | | | | | | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | | | | | | REDUCE: (22978), (23195) imply:
% 176.58/27.45 | | | | | | | | | | | | | | | | (23198) ~ (all_61_9 = unit)
% 176.58/27.45 | | | | | | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | | | | | | REDUCE: (22977), (23195) imply:
% 176.58/27.45 | | | | | | | | | | | | | | | | (23199) ~ (all_61_11 = unit)
% 176.58/27.45 | | | | | | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | | | | | | REDUCE: (22981), (23195) imply:
% 176.58/27.45 | | | | | | | | | | | | | | | | (23200) ~ (unit = e2)
% 176.58/27.45 | | | | | | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | | | | | | REDUCE: (23140), (23195) imply:
% 176.58/27.45 | | | | | | | | | | | | | | | | (23201) ~ (unit = e0)
% 176.58/27.45 | | | | | | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | | | | | | BETA: splitting (21766) gives:
% 176.58/27.45 | | | | | | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | | | | | | Case 1:
% 176.58/27.45 | | | | | | | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | | | | | | | (23202) unit = e2
% 176.58/27.45 | | | | | | | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | | | | | | | REDUCE: (23200), (23202) imply:
% 176.58/27.45 | | | | | | | | | | | | | | | | | (23203) $false
% 176.58/27.45 | | | | | | | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | | | | | | | CLOSE: (23203) is inconsistent.
% 176.58/27.45 | | | | | | | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | | | | | | Case 2:
% 176.58/27.45 | | | | | | | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | | | | | | | (23204) unit = e1 | unit = e0
% 176.58/27.45 | | | | | | | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | | | | | | | BETA: splitting (23204) gives:
% 176.58/27.45 | | | | | | | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | | | | | | | Case 1:
% 176.58/27.45 | | | | | | | | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | | | | | | | | (23205) unit = e1
% 176.58/27.45 | | | | | | | | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | | | | | | | | REDUCE: (23196), (23205) imply:
% 176.58/27.45 | | | | | | | | | | | | | | | | | | (23206) ~ (all_61_1 = e1)
% 176.58/27.45 | | | | | | | | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | | | | | | | | REDUCE: (23197), (23205) imply:
% 176.58/27.45 | | | | | | | | | | | | | | | | | | (23207) ~ (all_61_3 = e1)
% 176.58/27.45 | | | | | | | | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | | | | | | | | REDUCE: (23198), (23205) imply:
% 176.58/27.45 | | | | | | | | | | | | | | | | | | (23208) ~ (all_61_9 = e1)
% 176.58/27.45 | | | | | | | | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | | | | | | | | REDUCE: (23199), (23205) imply:
% 176.58/27.45 | | | | | | | | | | | | | | | | | | (23209) ~ (all_61_11 = e1)
% 176.58/27.45 | | | | | | | | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | | | | | | | | BETA: splitting (257) gives:
% 176.58/27.45 | | | | | | | | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | | | | | | | | Case 1:
% 176.58/27.45 | | | | | | | | | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | | | | | | | | | (23210) all_63_14 = e3
% 176.58/27.45 | | | | | | | | | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (510), (23210) imply:
% 176.58/27.45 | | | | | | | | | | | | | | | | | | | (23211) all_61_11 = e3
% 176.58/27.45 | | | | | | | | | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | | | | | | | | | REDUCE: (21457), (23211) imply:
% 176.58/27.45 | | | | | | | | | | | | | | | | | | | (23212) $false
% 176.58/27.45 | | | | | | | | | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | | | | | | | | | CLOSE: (23212) is inconsistent.
% 176.58/27.45 | | | | | | | | | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | | | | | | | | Case 2:
% 176.58/27.45 | | | | | | | | | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | | | | | | | | | (23213) all_63_14 = e2 | all_63_14 = e1 | all_63_14 = e0
% 176.58/27.45 | | | | | | | | | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | | | | | | | | | BETA: splitting (23213) gives:
% 176.58/27.45 | | | | | | | | | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | | | | | | | | | Case 1:
% 176.58/27.45 | | | | | | | | | | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | | | | | | | | | | (23214) all_63_14 = e2
% 176.58/27.45 | | | | | | | | | | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (510), (23214) imply:
% 176.58/27.45 | | | | | | | | | | | | | | | | | | | | (23215) all_61_11 = e2
% 176.58/27.45 | | | | | | | | | | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | | | | | | | | | | REDUCE: (22938), (23215) imply:
% 176.58/27.45 | | | | | | | | | | | | | | | | | | | | (23216) $false
% 176.58/27.45 | | | | | | | | | | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | | | | | | | | | | CLOSE: (23216) is inconsistent.
% 176.58/27.45 | | | | | | | | | | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | | | | | | | | | Case 2:
% 176.58/27.45 | | | | | | | | | | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | | | | | | | | | | (23217) all_63_14 = e1 | all_63_14 = e0
% 176.58/27.45 | | | | | | | | | | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | | | | | | | | | | BETA: splitting (265) gives:
% 176.58/27.45 | | | | | | | | | | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.58/27.45 | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | | | | | | | | | | | (23218) all_63_6 = e3
% 176.58/27.45 | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (497), (21456), (23218) are inconsistent by
% 176.58/27.45 | | | | | | | | | | | | | | | | | | | | | sub-proof #396.
% 176.58/27.45 | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.58/27.45 | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | | | | | | | | | | | (23219) all_63_6 = e2 | all_63_6 = e1 | all_63_6 = e0
% 176.58/27.45 | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (23217) gives:
% 176.58/27.45 | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.58/27.45 | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | | | | | | | | | | | | (23220) all_63_14 = e1
% 176.58/27.45 | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (510), (23209), (23220) are inconsistent by
% 176.58/27.45 | | | | | | | | | | | | | | | | | | | | | | sub-proof #519.
% 176.58/27.45 | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.58/27.45 | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | | | | | | | | | | | | (23221) all_63_14 = e0
% 176.58/27.45 | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (510), (23221) imply:
% 176.58/27.45 | | | | | | | | | | | | | | | | | | | | | | (23222) all_61_11 = e0
% 176.58/27.45 | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | | | | | | | | | | | | SIMP: (23222) implies:
% 176.58/27.45 | | | | | | | | | | | | | | | | | | | | | | (23223) all_61_11 = e0
% 176.58/27.45 | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (206), (23223) imply:
% 176.58/27.45 | | | | | | | | | | | | | | | | | | | | | | (23224) ~ (all_61_3 = e0)
% 176.58/27.45 | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (185), (23223) imply:
% 176.58/27.45 | | | | | | | | | | | | | | | | | | | | | | (23225) ~ (all_61_9 = e0)
% 176.58/27.45 | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (259) gives:
% 176.58/27.45 | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.58/27.45 | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | | | | | | | | | | | | | (23226) all_63_12 = e3
% 176.58/27.45 | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (506), (23226) imply:
% 176.58/27.45 | | | | | | | | | | | | | | | | | | | | | | | (23227) all_61_3 = e3
% 176.58/27.45 | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (23227) implies:
% 176.58/27.45 | | | | | | | | | | | | | | | | | | | | | | | (23228) all_61_3 = e3
% 176.58/27.45 | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (215), (23228) imply:
% 176.58/27.45 | | | | | | | | | | | | | | | | | | | | | | | (23229) ~ (all_61_1 = e3)
% 176.58/27.45 | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (213), (267), (493), (497), (23138), (23206),
% 176.58/27.45 | | | | | | | | | | | | | | | | | | | | | | | (23208), (23219), (23225), (23229) are
% 176.58/27.45 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #164.
% 176.58/27.45 | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.58/27.45 | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | | | | | | | | | | | | | (23230) all_63_12 = e2 | all_63_12 = e1 | all_63_12 = e0
% 176.58/27.45 | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (506), (22937), (23207), (23224), (23230) are
% 176.58/27.45 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #330.
% 176.58/27.45 | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.58/27.45 | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | | | | | | | | | | | End of split
% 176.58/27.45 | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | | | | | | | | | | End of split
% 176.58/27.45 | | | | | | | | | | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | | | | | | | | | End of split
% 176.58/27.45 | | | | | | | | | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | | | | | | | | End of split
% 176.58/27.45 | | | | | | | | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | | | | | | | Case 2:
% 176.58/27.45 | | | | | | | | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | | | | | | | | (23231) ~ (unit = e1)
% 176.58/27.45 | | | | | | | | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | | | | | | | | REF_CLOSE: (23201), (23204), (23231) are inconsistent by
% 176.58/27.45 | | | | | | | | | | | | | | | | | | sub-proof #419.
% 176.58/27.45 | | | | | | | | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | | | | | | | End of split
% 176.58/27.45 | | | | | | | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | | | | | | End of split
% 176.58/27.45 | | | | | | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | | | | | End of split
% 176.58/27.45 | | | | | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | | | | Case 2:
% 176.58/27.45 | | | | | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | | | | | (23232) all_58_3 = e1
% 176.58/27.45 | | | | | | | | | | | | | | | (23233) all_58_2 = e0
% 176.58/27.45 | | | | | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | | | | | COMBINE_EQS: (478), (23233) imply:
% 176.58/27.45 | | | | | | | | | | | | | | | (23234) all_52_2 = e0
% 176.58/27.45 | | | | | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | | | | | SIMP: (23234) implies:
% 176.58/27.45 | | | | | | | | | | | | | | | (23235) all_52_2 = e0
% 176.58/27.45 | | | | | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | | | | | COMBINE_EQS: (475), (23232) imply:
% 176.58/27.45 | | | | | | | | | | | | | | | (23236) all_52_3 = e1
% 176.58/27.45 | | | | | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | | | | | REDUCE: (748), (23235) imply:
% 176.58/27.45 | | | | | | | | | | | | | | | (23237) op(e1, e0) = unit
% 176.58/27.45 | | | | | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | | | | | REDUCE: (765), (23236) imply:
% 176.58/27.45 | | | | | | | | | | | | | | | (23238) op(e0, e1) = unit
% 176.58/27.45 | | | | | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | | | | | REF_CLOSE: (8), (50), (224), (227), (680), (746), (21518),
% 176.58/27.45 | | | | | | | | | | | | | | | (21525), (23172), (23237), (23238) are
% 176.58/27.45 | | | | | | | | | | | | | | | inconsistent by sub-proof #27.
% 176.58/27.45 | | | | | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | | | | End of split
% 176.58/27.45 | | | | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | | | Case 2:
% 176.58/27.45 | | | | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | | | | (23239) all_58_2 = e2
% 176.58/27.45 | | | | | | | | | | | | | | (23240) all_58_1 = e1
% 176.58/27.45 | | | | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | | | | COMBINE_EQS: (481), (23240) imply:
% 176.58/27.45 | | | | | | | | | | | | | | (23241) all_52_1 = e1
% 176.58/27.45 | | | | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | | | | SIMP: (23241) implies:
% 176.58/27.45 | | | | | | | | | | | | | | (23242) all_52_1 = e1
% 176.58/27.45 | | | | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | | | | COMBINE_EQS: (478), (23239) imply:
% 176.58/27.45 | | | | | | | | | | | | | | (23243) all_52_2 = e2
% 176.58/27.45 | | | | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | | | | SIMP: (23243) implies:
% 176.58/27.45 | | | | | | | | | | | | | | (23244) all_52_2 = e2
% 176.58/27.45 | | | | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | | | | REDUCE: (731), (23242) imply:
% 176.58/27.45 | | | | | | | | | | | | | | (23245) op(e2, e1) = unit
% 176.58/27.45 | | | | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | | | | REDUCE: (748), (23244) imply:
% 176.58/27.45 | | | | | | | | | | | | | | (23246) op(e1, e2) = unit
% 176.58/27.45 | | | | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_6, unit, e2, e1,
% 176.58/27.45 | | | | | | | | | | | | | | simplifying with (229), (23246) gives:
% 176.58/27.45 | | | | | | | | | | | | | | (23247) all_61_6 = unit
% 176.58/27.45 | | | | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_9, unit, e1, e2,
% 176.58/27.45 | | | | | | | | | | | | | | simplifying with (232), (23245) gives:
% 176.58/27.45 | | | | | | | | | | | | | | (23248) all_61_9 = unit
% 176.58/27.45 | | | | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | | | | REDUCE: (23164), (23247) imply:
% 176.58/27.45 | | | | | | | | | | | | | | (23249) op(unit, e2) = all_61_14
% 176.58/27.45 | | | | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | | | | REDUCE: (659), (23248) imply:
% 176.58/27.45 | | | | | | | | | | | | | | (23250) op(unit, e2) = all_65_25
% 176.58/27.45 | | | | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | | | | REDUCE: (724), (23247) imply:
% 176.58/27.45 | | | | | | | | | | | | | | (23251) op(e2, unit) = all_65_25
% 176.58/27.45 | | | | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | | | | REDUCE: (23165), (23248) imply:
% 176.58/27.45 | | | | | | | | | | | | | | (23252) op(e2, unit) = all_61_11
% 176.58/27.45 | | | | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e2, all_61_11, unit, e2,
% 176.58/27.45 | | | | | | | | | | | | | | simplifying with (5), (23252) gives:
% 176.58/27.45 | | | | | | | | | | | | | | (23253) all_61_11 = e2
% 176.58/27.45 | | | | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_11, all_65_25,
% 176.58/27.45 | | | | | | | | | | | | | | unit, e2, simplifying with (23251), (23252) gives:
% 176.58/27.45 | | | | | | | | | | | | | | (23254) all_65_25 = all_61_11
% 176.58/27.45 | | | | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_14, all_65_25, e2,
% 176.58/27.45 | | | | | | | | | | | | | | unit, simplifying with (23249), (23250) gives:
% 176.58/27.45 | | | | | | | | | | | | | | (23255) all_65_25 = all_61_14
% 176.58/27.45 | | | | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | | | | COMBINE_EQS: (23254), (23255) imply:
% 176.58/27.45 | | | | | | | | | | | | | | (23256) all_61_11 = all_61_14
% 176.58/27.45 | | | | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | | | | SIMP: (23256) implies:
% 176.58/27.45 | | | | | | | | | | | | | | (23257) all_61_11 = all_61_14
% 176.58/27.45 | | | | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | | | | COMBINE_EQS: (23253), (23257) imply:
% 176.58/27.45 | | | | | | | | | | | | | | (23258) all_61_14 = e2
% 176.58/27.45 | | | | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | | | | REDUCE: (22941), (23258) imply:
% 176.58/27.45 | | | | | | | | | | | | | | (23259) $false
% 176.58/27.45 | | | | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | | | | CLOSE: (23259) is inconsistent.
% 176.58/27.45 | | | | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | | | End of split
% 176.58/27.45 | | | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | | End of split
% 176.58/27.45 | | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | Case 2:
% 176.58/27.45 | | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | | (23260) all_36_2 = e0
% 176.58/27.45 | | | | | | | | | | | | (23261) op(e3, e0) = all_36_1 & $i(all_36_1) & ( ~
% 176.58/27.45 | | | | | | | | | | | | (all_36_1 = e2) | ( ~ (all_36_0 = e1) & op(e2,
% 176.58/27.45 | | | | | | | | | | | | e3) = all_36_0 & $i(all_36_0)))
% 176.58/27.45 | | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | | ALPHA: (23261) implies:
% 176.58/27.45 | | | | | | | | | | | | (23262) op(e3, e0) = all_36_1
% 176.58/27.45 | | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | | COMBINE_EQS: (557), (23260) imply:
% 176.58/27.45 | | | | | | | | | | | | (23263) all_14_2 = e0
% 176.58/27.45 | | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | | SIMP: (23263) implies:
% 176.58/27.45 | | | | | | | | | | | | (23264) all_14_2 = e0
% 176.58/27.45 | | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | | COMBINE_EQS: (549), (23264) imply:
% 176.58/27.45 | | | | | | | | | | | | (23265) all_44_2 = e0
% 176.58/27.45 | | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | | REDUCE: (603), (23264) imply:
% 176.58/27.45 | | | | | | | | | | | | (23266) ~ (all_61_12 = e0)
% 176.58/27.45 | | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | | REDUCE: (21507), (23264) imply:
% 176.58/27.45 | | | | | | | | | | | | (23267) ~ (all_4_1 = e0)
% 176.58/27.45 | | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | | SIMP: (23267) implies:
% 176.58/27.45 | | | | | | | | | | | | (23268) ~ (all_4_1 = e0)
% 176.58/27.45 | | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | | REDUCE: (634), (23264) imply:
% 176.58/27.45 | | | | | | | | | | | | (23269) op(e0, e3) = all_65_0
% 176.58/27.45 | | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | | REDUCE: (21538), (23264) imply:
% 176.58/27.45 | | | | | | | | | | | | (23270) op(e0, e1) = all_65_32
% 176.58/27.45 | | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | | REDUCE: (637), (23264) imply:
% 176.58/27.45 | | | | | | | | | | | | (23271) op(e0, e0) = all_65_3
% 176.58/27.45 | | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | | REDUCE: (21515), (23264) imply:
% 176.58/27.45 | | | | | | | | | | | | (23272) op(all_4_1, e1) = e0
% 176.58/27.45 | | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | | REDUCE: (698), (23264) imply:
% 176.58/27.45 | | | | | | | | | | | | (23273) op(e3, e0) = all_65_0
% 176.58/27.45 | | | | | | | | | | | |
% 176.58/27.45 | | | | | | | | | | | | REDUCE: (715), (23264) imply:
% 176.58/27.46 | | | | | | | | | | | | (23274) op(e2, e0) = all_65_16
% 176.58/27.46 | | | | | | | | | | | |
% 176.58/27.46 | | | | | | | | | | | | REDUCE: (732), (23264) imply:
% 176.58/27.46 | | | | | | | | | | | | (23275) op(e1, e0) = all_65_32
% 176.58/27.46 | | | | | | | | | | | |
% 176.58/27.46 | | | | | | | | | | | | REDUCE: (749), (23264) imply:
% 176.58/27.46 | | | | | | | | | | | | (23276) op(e0, e0) = all_65_49
% 176.58/27.46 | | | | | | | | | | | |
% 176.58/27.46 | | | | | | | | | | | | BETA: splitting (113) gives:
% 176.58/27.46 | | | | | | | | | | | |
% 176.58/27.46 | | | | | | | | | | | | Case 1:
% 176.58/27.46 | | | | | | | | | | | | |
% 176.58/27.46 | | | | | | | | | | | | | (23277) ~ (all_44_2 = e0)
% 176.58/27.46 | | | | | | | | | | | | |
% 176.58/27.46 | | | | | | | | | | | | | REDUCE: (23265), (23277) imply:
% 176.58/27.46 | | | | | | | | | | | | | (23278) $false
% 176.58/27.46 | | | | | | | | | | | | |
% 176.58/27.46 | | | | | | | | | | | | | CLOSE: (23278) is inconsistent.
% 176.58/27.46 | | | | | | | | | | | | |
% 176.58/27.46 | | | | | | | | | | | | Case 2:
% 176.58/27.46 | | | | | | | | | | | | |
% 176.58/27.46 | | | | | | | | | | | | | (23279) op(e3, e0) = all_44_1 & $i(all_44_1) & ( ~
% 176.58/27.46 | | | | | | | | | | | | | (all_44_1 = e1) | ( ~ (all_44_0 = e2) & op(e1,
% 176.58/27.46 | | | | | | | | | | | | | e3) = all_44_0 & $i(all_44_0)))
% 176.58/27.46 | | | | | | | | | | | | |
% 176.58/27.46 | | | | | | | | | | | | | ALPHA: (23279) implies:
% 176.58/27.46 | | | | | | | | | | | | | (23280) op(e3, e0) = all_44_1
% 176.58/27.46 | | | | | | | | | | | | |
% 176.58/27.46 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e2, all_65_3, e0, e0,
% 176.58/27.46 | | | | | | | | | | | | | simplifying with (22950), (23271) gives:
% 176.58/27.46 | | | | | | | | | | | | | (23281) all_65_3 = e2
% 176.58/27.46 | | | | | | | | | | | | |
% 176.58/27.46 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_49, all_65_3, e0,
% 176.58/27.46 | | | | | | | | | | | | | e0, simplifying with (23271), (23276) gives:
% 176.58/27.46 | | | | | | | | | | | | | (23282) all_65_3 = all_65_49
% 176.58/27.46 | | | | | | | | | | | | |
% 176.58/27.46 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_11, all_65_32, e1,
% 176.58/27.46 | | | | | | | | | | | | | e0, simplifying with (224), (23270) gives:
% 176.58/27.46 | | | | | | | | | | | | | (23283) all_65_32 = all_61_11
% 176.58/27.46 | | | | | | | | | | | | |
% 176.58/27.46 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_3, all_65_0, e3,
% 176.58/27.46 | | | | | | | | | | | | | e0, simplifying with (226), (23269) gives:
% 176.58/27.46 | | | | | | | | | | | | | (23284) all_65_0 = all_61_3
% 176.58/27.46 | | | | | | | | | | | | |
% 176.58/27.46 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_14, all_65_32, e0,
% 176.58/27.46 | | | | | | | | | | | | | e1, simplifying with (227), (23275) gives:
% 176.58/27.46 | | | | | | | | | | | | | (23285) all_65_32 = all_61_14
% 176.58/27.46 | | | | | | | | | | | | |
% 176.58/27.46 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_20_1, all_65_16, e0,
% 176.58/27.46 | | | | | | | | | | | | | e2, simplifying with (22990), (23274) gives:
% 176.58/27.46 | | | | | | | | | | | | | (23286) all_65_16 = all_20_1
% 176.58/27.46 | | | | | | | | | | | | |
% 176.58/27.46 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_12, all_44_1, e0,
% 176.58/27.46 | | | | | | | | | | | | | e3, simplifying with (235), (23280) gives:
% 176.58/27.46 | | | | | | | | | | | | | (23287) all_61_12 = all_44_1
% 176.58/27.46 | | | | | | | | | | | | |
% 176.58/27.46 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_12, all_65_0, e0,
% 176.58/27.46 | | | | | | | | | | | | | e3, simplifying with (235), (23273) gives:
% 176.58/27.46 | | | | | | | | | | | | | (23288) all_65_0 = all_61_12
% 176.58/27.46 | | | | | | | | | | | | |
% 176.58/27.46 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_36_1, all_65_0, e0,
% 176.58/27.46 | | | | | | | | | | | | | e3, simplifying with (23262), (23273) gives:
% 176.58/27.46 | | | | | | | | | | | | | (23289) all_65_0 = all_36_1
% 176.58/27.46 | | | | | | | | | | | | |
% 176.58/27.46 | | | | | | | | | | | | | COMBINE_EQS: (23288), (23289) imply:
% 176.58/27.46 | | | | | | | | | | | | | (23290) all_61_12 = all_36_1
% 176.58/27.46 | | | | | | | | | | | | |
% 176.58/27.46 | | | | | | | | | | | | | SIMP: (23290) implies:
% 176.58/27.46 | | | | | | | | | | | | | (23291) all_61_12 = all_36_1
% 176.58/27.46 | | | | | | | | | | | | |
% 176.58/27.46 | | | | | | | | | | | | | COMBINE_EQS: (23284), (23289) imply:
% 176.58/27.46 | | | | | | | | | | | | | (23292) all_61_3 = all_36_1
% 176.58/27.46 | | | | | | | | | | | | |
% 176.58/27.46 | | | | | | | | | | | | | SIMP: (23292) implies:
% 176.58/27.46 | | | | | | | | | | | | | (23293) all_61_3 = all_36_1
% 176.58/27.46 | | | | | | | | | | | | |
% 176.58/27.46 | | | | | | | | | | | | | COMBINE_EQS: (23281), (23282) imply:
% 176.58/27.46 | | | | | | | | | | | | | (23294) all_65_49 = e2
% 176.58/27.46 | | | | | | | | | | | | |
% 176.58/27.46 | | | | | | | | | | | | | COMBINE_EQS: (23283), (23285) imply:
% 176.58/27.46 | | | | | | | | | | | | | (23295) all_61_11 = all_61_14
% 176.58/27.46 | | | | | | | | | | | | |
% 176.58/27.46 | | | | | | | | | | | | | SIMP: (23295) implies:
% 176.58/27.46 | | | | | | | | | | | | | (23296) all_61_11 = all_61_14
% 176.58/27.46 | | | | | | | | | | | | |
% 176.58/27.46 | | | | | | | | | | | | | COMBINE_EQS: (23287), (23291) imply:
% 176.58/27.46 | | | | | | | | | | | | | (23297) all_44_1 = all_36_1
% 176.58/27.46 | | | | | | | | | | | | |
% 176.58/27.46 | | | | | | | | | | | | | SIMP: (23297) implies:
% 176.58/27.46 | | | | | | | | | | | | | (23298) all_44_1 = all_36_1
% 176.58/27.46 | | | | | | | | | | | | |
% 176.58/27.46 | | | | | | | | | | | | | COMBINE_EQS: (506), (23293) imply:
% 176.58/27.46 | | | | | | | | | | | | | (23299) all_63_12 = all_36_1
% 176.58/27.46 | | | | | | | | | | | | |
% 176.58/27.46 | | | | | | | | | | | | | REDUCE: (215), (23293) imply:
% 176.58/27.46 | | | | | | | | | | | | | (23300) ~ (all_61_1 = all_36_1)
% 176.58/27.46 | | | | | | | | | | | | |
% 176.58/27.46 | | | | | | | | | | | | | REDUCE: (22977), (23296) imply:
% 176.58/27.46 | | | | | | | | | | | | | (23301) ~ (all_61_14 = all_20_1)
% 176.58/27.46 | | | | | | | | | | | | |
% 176.58/27.46 | | | | | | | | | | | | | REDUCE: (22979), (23291) imply:
% 176.58/27.46 | | | | | | | | | | | | | (23302) ~ (all_36_1 = all_20_1)
% 176.58/27.46 | | | | | | | | | | | | |
% 176.58/27.46 | | | | | | | | | | | | | REDUCE: (21505), (23291) imply:
% 176.58/27.46 | | | | | | | | | | | | | (23303) ~ (all_36_1 = all_4_1)
% 176.58/27.46 | | | | | | | | | | | | |
% 176.58/27.46 | | | | | | | | | | | | | REDUCE: (22939), (23291) imply:
% 176.58/27.46 | | | | | | | | | | | | | (23304) ~ (all_36_1 = e2)
% 176.58/27.46 | | | | | | | | | | | | |
% 176.58/27.46 | | | | | | | | | | | | | REDUCE: (23266), (23291) imply:
% 176.58/27.46 | | | | | | | | | | | | | (23305) ~ (all_36_1 = e0)
% 176.58/27.46 | | | | | | | | | | | | |
% 176.58/27.46 | | | | | | | | | | | | | REDUCE: (685), (23293) imply:
% 176.58/27.46 | | | | | | | | | | | | | (23306) op(all_36_1, e0) = all_65_55
% 176.58/27.46 | | | | | | | | | | | | |
% 176.58/27.46 | | | | | | | | | | | | | REDUCE: (693), (23296) imply:
% 176.58/27.46 | | | | | | | | | | | | | (23307) op(all_61_14, e0) = all_65_71
% 176.58/27.46 | | | | | | | | | | | | |
% 176.58/27.46 | | | | | | | | | | | | | REDUCE: (22984), (23291) imply:
% 176.58/27.46 | | | | | | | | | | | | | (23308) op(all_36_1, e0) = all_61_4
% 176.58/27.46 | | | | | | | | | | | | |
% 176.58/27.46 | | | | | | | | | | | | | REDUCE: (22991), (23293) imply:
% 176.58/27.46 | | | | | | | | | | | | | (23309) op(e0, all_36_1) = all_61_1
% 176.58/27.46 | | | | | | | | | | | | |
% 176.58/27.46 | | | | | | | | | | | | | REDUCE: (22992), (23296) imply:
% 176.58/27.46 | | | | | | | | | | | | | (23310) op(e0, all_61_14) = all_61_9
% 176.58/27.46 | | | | | | | | | | | | |
% 176.58/27.46 | | | | | | | | | | | | | REDUCE: (752), (23291) imply:
% 176.58/27.46 | | | | | | | | | | | | | (23311) op(e0, all_36_1) = all_65_55
% 176.58/27.46 | | | | | | | | | | | | |
% 176.58/27.46 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_1, all_65_55,
% 176.58/27.46 | | | | | | | | | | | | | all_36_1, e0, simplifying with (23309), (23311)
% 176.58/27.46 | | | | | | | | | | | | | gives:
% 176.58/27.46 | | | | | | | | | | | | | (23312) all_65_55 = all_61_1
% 176.58/27.46 | | | | | | | | | | | | |
% 176.58/27.46 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_71, all_61_9,
% 176.58/27.46 | | | | | | | | | | | | | all_61_14, e0, simplifying with (760), (23310)
% 176.58/27.46 | | | | | | | | | | | | | gives:
% 176.58/27.46 | | | | | | | | | | | | | (23313) all_65_71 = all_61_9
% 176.58/27.46 | | | | | | | | | | | | |
% 176.58/27.46 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_4, all_65_55, e0,
% 176.58/27.46 | | | | | | | | | | | | | all_36_1, simplifying with (23306), (23308) gives:
% 176.58/27.46 | | | | | | | | | | | | | (23314) all_65_55 = all_61_4
% 176.58/27.46 | | | | | | | | | | | | |
% 176.58/27.46 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_6, all_65_71, e0,
% 176.58/27.46 | | | | | | | | | | | | | all_61_14, simplifying with (22987), (23307)
% 176.58/27.46 | | | | | | | | | | | | | gives:
% 176.58/27.46 | | | | | | | | | | | | | (23315) all_65_71 = all_61_6
% 176.58/27.46 | | | | | | | | | | | | |
% 176.58/27.46 | | | | | | | | | | | | | COMBINE_EQS: (23312), (23314) imply:
% 176.58/27.46 | | | | | | | | | | | | | (23316) all_61_1 = all_61_4
% 176.58/27.46 | | | | | | | | | | | | |
% 176.58/27.46 | | | | | | | | | | | | | SIMP: (23316) implies:
% 176.58/27.46 | | | | | | | | | | | | | (23317) all_61_1 = all_61_4
% 176.58/27.46 | | | | | | | | | | | | |
% 176.58/27.46 | | | | | | | | | | | | | COMBINE_EQS: (23313), (23315) imply:
% 176.58/27.46 | | | | | | | | | | | | | (23318) all_61_6 = all_61_9
% 176.58/27.46 | | | | | | | | | | | | |
% 176.58/27.46 | | | | | | | | | | | | | REDUCE: (23300), (23317) imply:
% 176.58/27.46 | | | | | | | | | | | | | (23319) ~ (all_61_4 = all_36_1)
% 176.58/27.46 | | | | | | | | | | | | |
% 176.58/27.46 | | | | | | | | | | | | | REDUCE: (22974), (23317) imply:
% 176.58/27.46 | | | | | | | | | | | | | (23320) ~ (all_61_4 = all_20_1)
% 176.58/27.46 | | | | | | | | | | | | |
% 176.58/27.46 | | | | | | | | | | | | | REDUCE: (23138), (23317) imply:
% 176.58/27.46 | | | | | | | | | | | | | (23321) ~ (all_61_4 = e0)
% 176.58/27.46 | | | | | | | | | | | | |
% 176.58/27.46 | | | | | | | | | | | | | REDUCE: (193), (23318) imply:
% 176.58/27.46 | | | | | | | | | | | | | (23322) ~ (all_61_9 = all_61_14)
% 176.58/27.46 | | | | | | | | | | | | |
% 176.58/27.46 | | | | | | | | | | | | | REDUCE: (23139), (23318) imply:
% 176.58/27.46 | | | | | | | | | | | | | (23323) ~ (all_61_9 = e0)
% 176.58/27.46 | | | | | | | | | | | | |
% 176.58/27.46 | | | | | | | | | | | | | REDUCE: (22987), (23318) imply:
% 176.58/27.46 | | | | | | | | | | | | | (23324) op(all_61_14, e0) = all_61_9
% 176.58/27.46 | | | | | | | | | | | | |
% 176.58/27.46 | | | | | | | | | | | | | BETA: splitting (157) gives:
% 176.58/27.46 | | | | | | | | | | | | |
% 176.58/27.46 | | | | | | | | | | | | | Case 1:
% 176.58/27.46 | | | | | | | | | | | | | |
% 176.58/27.46 | | | | | | | | | | | | | | (23325) ~ (all_58_3 = e1)
% 176.58/27.46 | | | | | | | | | | | | | |
% 176.58/27.46 | | | | | | | | | | | | | | REDUCE: (475), (23325) imply:
% 176.58/27.46 | | | | | | | | | | | | | | (23326) ~ (all_52_3 = e1)
% 176.58/27.46 | | | | | | | | | | | | | |
% 176.58/27.46 | | | | | | | | | | | | | | BETA: splitting (162) gives:
% 176.58/27.46 | | | | | | | | | | | | | |
% 176.58/27.46 | | | | | | | | | | | | | | Case 1:
% 176.58/27.46 | | | | | | | | | | | | | | |
% 176.58/27.46 | | | | | | | | | | | | | | | (23327) ~ (all_58_2 = e3)
% 176.58/27.46 | | | | | | | | | | | | | | |
% 176.58/27.46 | | | | | | | | | | | | | | | REDUCE: (478), (23327) imply:
% 176.58/27.46 | | | | | | | | | | | | | | | (23328) ~ (all_52_2 = e3)
% 176.58/27.46 | | | | | | | | | | | | | | |
% 176.58/27.46 | | | | | | | | | | | | | | | BETA: splitting (167) gives:
% 176.58/27.46 | | | | | | | | | | | | | | |
% 176.58/27.46 | | | | | | | | | | | | | | | Case 1:
% 176.58/27.46 | | | | | | | | | | | | | | | |
% 176.58/27.46 | | | | | | | | | | | | | | | | (23329) ~ (all_58_0 = e1)
% 176.58/27.46 | | | | | | | | | | | | | | | |
% 176.58/27.46 | | | | | | | | | | | | | | | | REDUCE: (484), (23329) imply:
% 176.58/27.46 | | | | | | | | | | | | | | | | (23330) ~ (all_52_0 = e1)
% 176.58/27.46 | | | | | | | | | | | | | | | |
% 176.58/27.46 | | | | | | | | | | | | | | | | BETA: splitting (158) gives:
% 176.58/27.46 | | | | | | | | | | | | | | | |
% 176.58/27.46 | | | | | | | | | | | | | | | | Case 1:
% 176.58/27.46 | | | | | | | | | | | | | | | | |
% 176.58/27.46 | | | | | | | | | | | | | | | | | (23331) ~ (all_58_3 = e2)
% 176.58/27.46 | | | | | | | | | | | | | | | | |
% 176.58/27.46 | | | | | | | | | | | | | | | | | REDUCE: (475), (23331) imply:
% 176.58/27.46 | | | | | | | | | | | | | | | | | (23332) ~ (all_52_3 = e2)
% 176.58/27.46 | | | | | | | | | | | | | | | | |
% 176.58/27.46 | | | | | | | | | | | | | | | | | BETA: splitting (159) gives:
% 176.58/27.46 | | | | | | | | | | | | | | | | |
% 176.58/27.46 | | | | | | | | | | | | | | | | | Case 1:
% 176.58/27.46 | | | | | | | | | | | | | | | | | |
% 176.58/27.46 | | | | | | | | | | | | | | | | | | (23333) ~ (all_58_3 = e3)
% 176.58/27.46 | | | | | | | | | | | | | | | | | |
% 176.58/27.46 | | | | | | | | | | | | | | | | | | REDUCE: (475), (23333) imply:
% 176.58/27.46 | | | | | | | | | | | | | | | | | | (23334) ~ (all_52_3 = e3)
% 176.58/27.46 | | | | | | | | | | | | | | | | | |
% 176.58/27.46 | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (50), (148), (232), (260), (505), (539),
% 176.58/27.46 | | | | | | | | | | | | | | | | | | (765), (21458), (22941), (22950), (22990),
% 176.58/27.46 | | | | | | | | | | | | | | | | | | (23301), (23322), (23326), (23332), (23334) are
% 176.58/27.46 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #26.
% 176.58/27.46 | | | | | | | | | | | | | | | | | |
% 176.58/27.46 | | | | | | | | | | | | | | | | | Case 2:
% 176.58/27.46 | | | | | | | | | | | | | | | | | |
% 176.58/27.46 | | | | | | | | | | | | | | | | | | (23335) all_58_0 = e0
% 176.58/27.46 | | | | | | | | | | | | | | | | | |
% 176.58/27.46 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (484), (23335) imply:
% 176.58/27.46 | | | | | | | | | | | | | | | | | | (23336) all_52_0 = e0
% 176.58/27.46 | | | | | | | | | | | | | | | | | |
% 176.58/27.46 | | | | | | | | | | | | | | | | | | SIMP: (23336) implies:
% 176.58/27.46 | | | | | | | | | | | | | | | | | | (23337) all_52_0 = e0
% 176.58/27.46 | | | | | | | | | | | | | | | | | |
% 176.58/27.46 | | | | | | | | | | | | | | | | | | REDUCE: (714), (23337) imply:
% 176.58/27.46 | | | | | | | | | | | | | | | | | | (23338) op(e3, e0) = unit
% 176.58/27.46 | | | | | | | | | | | | | | | | | |
% 176.58/27.46 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_36_1, unit, e0, e3,
% 176.58/27.46 | | | | | | | | | | | | | | | | | | simplifying with (23262), (23338) gives:
% 176.58/27.46 | | | | | | | | | | | | | | | | | | (23339) all_36_1 = unit
% 176.58/27.46 | | | | | | | | | | | | | | | | | |
% 176.58/27.46 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (23299), (23339) imply:
% 176.58/27.46 | | | | | | | | | | | | | | | | | | (23340) all_63_12 = unit
% 176.58/27.46 | | | | | | | | | | | | | | | | | |
% 176.58/27.46 | | | | | | | | | | | | | | | | | | REDUCE: (23319), (23339) imply:
% 176.58/27.46 | | | | | | | | | | | | | | | | | | (23341) ~ (all_61_4 = unit)
% 176.58/27.46 | | | | | | | | | | | | | | | | | |
% 176.58/27.46 | | | | | | | | | | | | | | | | | | REDUCE: (23302), (23339) imply:
% 176.58/27.46 | | | | | | | | | | | | | | | | | | (23342) ~ (all_20_1 = unit)
% 176.58/27.46 | | | | | | | | | | | | | | | | | |
% 176.58/27.46 | | | | | | | | | | | | | | | | | | SIMP: (23342) implies:
% 176.58/27.46 | | | | | | | | | | | | | | | | | | (23343) ~ (all_20_1 = unit)
% 176.58/27.46 | | | | | | | | | | | | | | | | | |
% 176.58/27.46 | | | | | | | | | | | | | | | | | | REDUCE: (23303), (23339) imply:
% 176.58/27.46 | | | | | | | | | | | | | | | | | | (23344) ~ (all_4_1 = unit)
% 176.58/27.46 | | | | | | | | | | | | | | | | | |
% 176.58/27.46 | | | | | | | | | | | | | | | | | | SIMP: (23344) implies:
% 176.58/27.46 | | | | | | | | | | | | | | | | | | (23345) ~ (all_4_1 = unit)
% 176.58/27.46 | | | | | | | | | | | | | | | | | |
% 176.58/27.46 | | | | | | | | | | | | | | | | | | REDUCE: (23304), (23339) imply:
% 176.58/27.46 | | | | | | | | | | | | | | | | | | (23346) ~ (unit = e2)
% 176.58/27.46 | | | | | | | | | | | | | | | | | |
% 176.58/27.46 | | | | | | | | | | | | | | | | | | REDUCE: (23305), (23339) imply:
% 176.58/27.46 | | | | | | | | | | | | | | | | | | (23347) ~ (unit = e0)
% 176.58/27.46 | | | | | | | | | | | | | | | | | |
% 176.58/27.46 | | | | | | | | | | | | | | | | | | BETA: splitting (259) gives:
% 176.58/27.46 | | | | | | | | | | | | | | | | | |
% 176.58/27.46 | | | | | | | | | | | | | | | | | | Case 1:
% 176.58/27.46 | | | | | | | | | | | | | | | | | | |
% 176.58/27.46 | | | | | | | | | | | | | | | | | | | (23348) all_63_12 = e3
% 176.58/27.46 | | | | | | | | | | | | | | | | | | |
% 176.58/27.46 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (23340), (23348) imply:
% 176.58/27.46 | | | | | | | | | | | | | | | | | | | (23349) unit = e3
% 176.58/27.46 | | | | | | | | | | | | | | | | | | |
% 176.58/27.46 | | | | | | | | | | | | | | | | | | | REDUCE: (21765), (23349) imply:
% 176.58/27.46 | | | | | | | | | | | | | | | | | | | (23350) $false
% 176.58/27.46 | | | | | | | | | | | | | | | | | | |
% 176.58/27.46 | | | | | | | | | | | | | | | | | | | CLOSE: (23350) is inconsistent.
% 176.58/27.46 | | | | | | | | | | | | | | | | | | |
% 176.58/27.46 | | | | | | | | | | | | | | | | | | Case 2:
% 176.58/27.46 | | | | | | | | | | | | | | | | | | |
% 176.58/27.46 | | | | | | | | | | | | | | | | | | | (23351) all_63_12 = e2 | all_63_12 = e1 | all_63_12 = e0
% 176.58/27.46 | | | | | | | | | | | | | | | | | | |
% 176.58/27.46 | | | | | | | | | | | | | | | | | | | BETA: splitting (23351) gives:
% 176.58/27.46 | | | | | | | | | | | | | | | | | | |
% 176.58/27.46 | | | | | | | | | | | | | | | | | | | Case 1:
% 176.58/27.46 | | | | | | | | | | | | | | | | | | | |
% 176.58/27.46 | | | | | | | | | | | | | | | | | | | | (23352) all_63_12 = e2
% 176.58/27.46 | | | | | | | | | | | | | | | | | | | |
% 176.58/27.46 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (23340), (23352) imply:
% 176.58/27.46 | | | | | | | | | | | | | | | | | | | | (23353) unit = e2
% 176.58/27.46 | | | | | | | | | | | | | | | | | | | |
% 176.58/27.46 | | | | | | | | | | | | | | | | | | | | REDUCE: (23346), (23353) imply:
% 176.58/27.46 | | | | | | | | | | | | | | | | | | | | (23354) $false
% 176.58/27.46 | | | | | | | | | | | | | | | | | | | |
% 176.58/27.46 | | | | | | | | | | | | | | | | | | | | CLOSE: (23354) is inconsistent.
% 176.58/27.46 | | | | | | | | | | | | | | | | | | | |
% 176.58/27.46 | | | | | | | | | | | | | | | | | | | Case 2:
% 176.58/27.46 | | | | | | | | | | | | | | | | | | | |
% 176.58/27.46 | | | | | | | | | | | | | | | | | | | | (23355) all_63_12 = e1 | all_63_12 = e0
% 176.58/27.46 | | | | | | | | | | | | | | | | | | | |
% 176.58/27.46 | | | | | | | | | | | | | | | | | | | | BETA: splitting (23355) gives:
% 176.58/27.46 | | | | | | | | | | | | | | | | | | | |
% 176.58/27.46 | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.58/27.46 | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.46 | | | | | | | | | | | | | | | | | | | | | (23356) all_63_12 = e1
% 176.58/27.46 | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.46 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (23340), (23356) imply:
% 176.58/27.46 | | | | | | | | | | | | | | | | | | | | | (23357) unit = e1
% 176.58/27.46 | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.46 | | | | | | | | | | | | | | | | | | | | | REDUCE: (23341), (23357) imply:
% 176.58/27.46 | | | | | | | | | | | | | | | | | | | | | (23358) ~ (all_61_4 = e1)
% 176.58/27.46 | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.46 | | | | | | | | | | | | | | | | | | | | | REDUCE: (23343), (23357) imply:
% 176.58/27.46 | | | | | | | | | | | | | | | | | | | | | (23359) ~ (all_20_1 = e1)
% 176.58/27.46 | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.46 | | | | | | | | | | | | | | | | | | | | | REDUCE: (23345), (23357) imply:
% 176.58/27.46 | | | | | | | | | | | | | | | | | | | | | (23360) ~ (all_4_1 = e1)
% 176.58/27.46 | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.46 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (22955) gives:
% 176.58/27.46 | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.46 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.58/27.46 | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.46 | | | | | | | | | | | | | | | | | | | | | | (23361) ~ (all_46_1 = e3)
% 176.58/27.46 | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.46 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (22972), (23361) imply:
% 176.58/27.46 | | | | | | | | | | | | | | | | | | | | | | (23362) ~ (all_20_1 = e3)
% 176.58/27.46 | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.46 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (258), (22973), (22981), (23140), (23359), (23362)
% 176.58/27.46 | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #379.
% 176.58/27.46 | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.46 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.58/27.46 | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.46 | | | | | | | | | | | | | | | | | | | | | | (23363) all_46_1 = e3
% 176.58/27.46 | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.46 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (22972), (23363) imply:
% 176.58/27.46 | | | | | | | | | | | | | | | | | | | | | | (23364) all_20_1 = e3
% 176.58/27.46 | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.46 | | | | | | | | | | | | | | | | | | | | | | SIMP: (23364) implies:
% 176.58/27.46 | | | | | | | | | | | | | | | | | | | | | | (23365) all_20_1 = e3
% 176.58/27.46 | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.46 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (23320), (23365) imply:
% 176.58/27.46 | | | | | | | | | | | | | | | | | | | | | | (23366) ~ (all_61_4 = e3)
% 176.58/27.46 | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.46 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (263) gives:
% 176.58/27.46 | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.46 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.58/27.46 | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.46 | | | | | | | | | | | | | | | | | | | | | | | (23367) all_63_8 = e3
% 176.58/27.46 | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.46 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (21490), (23367) imply:
% 176.58/27.46 | | | | | | | | | | | | | | | | | | | | | | | (23368) all_4_1 = e3
% 176.58/27.46 | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.46 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (21508), (23368) imply:
% 176.58/27.46 | | | | | | | | | | | | | | | | | | | | | | | (23369) $false
% 176.58/27.46 | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.46 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (23369) is inconsistent.
% 176.58/27.46 | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.46 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.58/27.46 | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.46 | | | | | | | | | | | | | | | | | | | | | | | (23370) all_63_8 = e2 | all_63_8 = e1 | all_63_8 = e0
% 176.58/27.46 | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.46 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (270) gives:
% 176.58/27.46 | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.46 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.58/27.46 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.46 | | | | | | | | | | | | | | | | | | | | | | | | (23371) all_63_1 = e3
% 176.58/27.46 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.46 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (488), (23371) imply:
% 176.58/27.46 | | | | | | | | | | | | | | | | | | | | | | | | (23372) all_61_4 = e3
% 176.58/27.46 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.46 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (23366), (23372) imply:
% 176.58/27.46 | | | | | | | | | | | | | | | | | | | | | | | | (23373) $false
% 176.58/27.46 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.46 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (23373) is inconsistent.
% 176.58/27.46 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.46 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.58/27.46 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.46 | | | | | | | | | | | | | | | | | | | | | | | | (23374) all_63_1 = e2 | all_63_1 = e1 | all_63_1 = e0
% 176.58/27.46 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.46 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (23370) gives:
% 176.58/27.46 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.46 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.58/27.46 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | (23375) all_63_8 = e2
% 176.58/27.46 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (21490), (23375) imply:
% 176.58/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | (23376) all_4_1 = e2
% 176.58/27.46 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (21499), (23376) imply:
% 176.58/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | (23377) ~ (all_61_4 = e2)
% 176.58/27.46 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (488), (23321), (23358), (23374), (23377) are
% 176.58/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #485.
% 176.58/27.46 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.46 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.58/27.46 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | (23378) all_63_8 = e1 | all_63_8 = e0
% 176.58/27.46 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (21490), (23268), (23360), (23378) are
% 176.58/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #47.
% 176.58/27.46 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.46 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.58/27.46 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.46 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.58/27.46 | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.46 | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.58/27.46 | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.46 | | | | | | | | | | | | | | | | | | | | | End of split
% 176.58/27.46 | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.46 | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.58/27.46 | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.46 | | | | | | | | | | | | | | | | | | | | | (23379) all_63_12 = e0
% 176.58/27.46 | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.46 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (23340), (23379) imply:
% 176.58/27.46 | | | | | | | | | | | | | | | | | | | | | (23380) unit = e0
% 176.58/27.46 | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.46 | | | | | | | | | | | | | | | | | | | | | REDUCE: (23347), (23380) imply:
% 176.58/27.46 | | | | | | | | | | | | | | | | | | | | | (23381) $false
% 176.58/27.46 | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.46 | | | | | | | | | | | | | | | | | | | | | CLOSE: (23381) is inconsistent.
% 176.58/27.46 | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.46 | | | | | | | | | | | | | | | | | | | | End of split
% 176.58/27.46 | | | | | | | | | | | | | | | | | | | |
% 176.58/27.46 | | | | | | | | | | | | | | | | | | | End of split
% 176.58/27.46 | | | | | | | | | | | | | | | | | | |
% 176.58/27.46 | | | | | | | | | | | | | | | | | | End of split
% 176.58/27.46 | | | | | | | | | | | | | | | | | |
% 176.58/27.46 | | | | | | | | | | | | | | | | | End of split
% 176.58/27.46 | | | | | | | | | | | | | | | | |
% 176.58/27.46 | | | | | | | | | | | | | | | | Case 2:
% 176.58/27.46 | | | | | | | | | | | | | | | | |
% 176.58/27.46 | | | | | | | | | | | | | | | | | (23382) all_58_3 = e2
% 176.58/27.46 | | | | | | | | | | | | | | | | |
% 176.58/27.46 | | | | | | | | | | | | | | | | | COMBINE_EQS: (475), (23382) imply:
% 176.58/27.46 | | | | | | | | | | | | | | | | | (23383) all_52_3 = e2
% 176.58/27.46 | | | | | | | | | | | | | | | | |
% 176.58/27.46 | | | | | | | | | | | | | | | | | REDUCE: (633), (23383) imply:
% 176.58/27.46 | | | | | | | | | | | | | | | | | (23384) ~ (all_52_2 = e2)
% 176.58/27.46 | | | | | | | | | | | | | | | | |
% 176.58/27.46 | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (50), (149), (160), (162), (227), (478),
% 176.58/27.46 | | | | | | | | | | | | | | | | | (484), (538), (748), (21466), (21765), (23323),
% 176.58/27.46 | | | | | | | | | | | | | | | | | (23324), (23330), (23384) are inconsistent by
% 176.58/27.46 | | | | | | | | | | | | | | | | | sub-proof #23.
% 176.58/27.46 | | | | | | | | | | | | | | | | |
% 176.58/27.46 | | | | | | | | | | | | | | | | End of split
% 176.58/27.46 | | | | | | | | | | | | | | | |
% 176.58/27.46 | | | | | | | | | | | | | | | Case 2:
% 176.58/27.46 | | | | | | | | | | | | | | | |
% 176.58/27.46 | | | | | | | | | | | | | | | | (23385) all_58_2 = e3
% 176.58/27.46 | | | | | | | | | | | | | | | |
% 176.58/27.46 | | | | | | | | | | | | | | | | REF_CLOSE: (478), (23328), (23385) are inconsistent by
% 176.58/27.46 | | | | | | | | | | | | | | | | sub-proof #507.
% 176.58/27.46 | | | | | | | | | | | | | | | |
% 176.58/27.46 | | | | | | | | | | | | | | | End of split
% 176.58/27.46 | | | | | | | | | | | | | | |
% 176.58/27.46 | | | | | | | | | | | | | | Case 2:
% 176.58/27.46 | | | | | | | | | | | | | | |
% 176.58/27.46 | | | | | | | | | | | | | | | (23386) all_58_0 = e1
% 176.58/27.46 | | | | | | | | | | | | | | |
% 176.58/27.46 | | | | | | | | | | | | | | | COMBINE_EQS: (484), (23386) imply:
% 176.58/27.46 | | | | | | | | | | | | | | | (23387) all_52_0 = e1
% 176.58/27.46 | | | | | | | | | | | | | | |
% 176.58/27.46 | | | | | | | | | | | | | | | SIMP: (23387) implies:
% 176.58/27.46 | | | | | | | | | | | | | | | (23388) all_52_0 = e1
% 176.58/27.46 | | | | | | | | | | | | | | |
% 176.58/27.46 | | | | | | | | | | | | | | | REDUCE: (714), (23388) imply:
% 176.58/27.46 | | | | | | | | | | | | | | | (23389) op(e3, e1) = unit
% 176.58/27.46 | | | | | | | | | | | | | | |
% 176.58/27.46 | | | | | | | | | | | | | | | REF_CLOSE: (8), (18), (50), (21521), (23272), (23389) are
% 176.58/27.46 | | | | | | | | | | | | | | | inconsistent by sub-proof #41.
% 176.58/27.46 | | | | | | | | | | | | | | |
% 176.58/27.46 | | | | | | | | | | | | | | End of split
% 176.58/27.46 | | | | | | | | | | | | | |
% 176.58/27.46 | | | | | | | | | | | | | Case 2:
% 176.58/27.46 | | | | | | | | | | | | | |
% 176.58/27.46 | | | | | | | | | | | | | | (23390) all_58_2 = e0
% 176.58/27.46 | | | | | | | | | | | | | |
% 176.58/27.46 | | | | | | | | | | | | | | COMBINE_EQS: (478), (23390) imply:
% 176.58/27.46 | | | | | | | | | | | | | | (23391) all_52_2 = e0
% 176.58/27.46 | | | | | | | | | | | | | |
% 176.58/27.46 | | | | | | | | | | | | | | SIMP: (23391) implies:
% 176.58/27.46 | | | | | | | | | | | | | | (23392) all_52_2 = e0
% 176.58/27.46 | | | | | | | | | | | | | |
% 176.58/27.46 | | | | | | | | | | | | | | REDUCE: (748), (23392) imply:
% 176.58/27.46 | | | | | | | | | | | | | | (23393) op(e1, e0) = unit
% 176.58/27.46 | | | | | | | | | | | | | |
% 176.58/27.46 | | | | | | | | | | | | | | REF_CLOSE: (7), (50), (227), (23323), (23324), (23393) are
% 176.58/27.46 | | | | | | | | | | | | | | inconsistent by sub-proof #24.
% 176.58/27.46 | | | | | | | | | | | | | |
% 176.58/27.46 | | | | | | | | | | | | | End of split
% 176.58/27.46 | | | | | | | | | | | | |
% 176.58/27.46 | | | | | | | | | | | | End of split
% 176.58/27.46 | | | | | | | | | | | |
% 176.58/27.46 | | | | | | | | | | | End of split
% 176.58/27.46 | | | | | | | | | | |
% 176.58/27.46 | | | | | | | | | | End of split
% 176.58/27.46 | | | | | | | | | |
% 176.58/27.46 | | | | | | | | | End of split
% 176.58/27.46 | | | | | | | | |
% 176.58/27.46 | | | | | | | | End of split
% 176.58/27.46 | | | | | | | |
% 176.58/27.46 | | | | | | | End of split
% 176.58/27.46 | | | | | | |
% 176.58/27.46 | | | | | | Case 2:
% 176.58/27.46 | | | | | | |
% 176.58/27.46 | | | | | | | (23394) all_14_2 = e2
% 176.58/27.46 | | | | | | | (23395) op(e3, e2) = all_14_1 & $i(all_14_1) & ( ~ (all_14_1 =
% 176.58/27.46 | | | | | | | e0) | ( ~ (all_14_0 = e1) & op(e0, e3) = all_14_0 &
% 176.58/27.46 | | | | | | | $i(all_14_0)))
% 176.58/27.46 | | | | | | |
% 176.58/27.46 | | | | | | | ALPHA: (23395) implies:
% 176.58/27.46 | | | | | | | (23396) op(e3, e2) = all_14_1
% 176.58/27.46 | | | | | | | (23397) ~ (all_14_1 = e0) | ( ~ (all_14_0 = e1) & op(e0, e3) =
% 176.58/27.46 | | | | | | | all_14_0 & $i(all_14_0))
% 176.58/27.46 | | | | | | |
% 176.58/27.46 | | | | | | | COMBINE_EQS: (561), (23394) imply:
% 176.58/27.46 | | | | | | | (23398) all_26_2 = e2
% 176.58/27.46 | | | | | | |
% 176.58/27.46 | | | | | | | REDUCE: (597), (23394) imply:
% 176.58/27.46 | | | | | | | (23399) ~ (all_61_3 = e2)
% 176.58/27.46 | | | | | | |
% 176.58/27.46 | | | | | | | REDUCE: (599), (23394) imply:
% 176.58/27.46 | | | | | | | (23400) ~ (all_61_4 = e2)
% 176.58/27.46 | | | | | | |
% 176.58/27.46 | | | | | | | REDUCE: (603), (23394) imply:
% 176.58/27.46 | | | | | | | (23401) ~ (all_61_12 = e2)
% 176.58/27.46 | | | | | | |
% 176.58/27.46 | | | | | | | REDUCE: (21507), (23394) imply:
% 176.58/27.46 | | | | | | | (23402) ~ (all_4_1 = e2)
% 176.58/27.46 | | | | | | |
% 176.58/27.46 | | | | | | | SIMP: (23402) implies:
% 176.58/27.46 | | | | | | | (23403) ~ (all_4_1 = e2)
% 176.58/27.46 | | | | | | |
% 176.58/27.46 | | | | | | | REDUCE: (634), (23394) imply:
% 176.58/27.46 | | | | | | | (23404) op(e2, e3) = all_65_0
% 176.58/27.46 | | | | | | |
% 176.58/27.46 | | | | | | | REDUCE: (635), (23394) imply:
% 176.58/27.46 | | | | | | | (23405) op(e2, e2) = all_65_1
% 176.58/27.46 | | | | | | |
% 176.58/27.46 | | | | | | | REDUCE: (21538), (23394) imply:
% 176.58/27.46 | | | | | | | (23406) op(e2, e1) = all_65_32
% 176.58/27.46 | | | | | | |
% 176.58/27.46 | | | | | | | REDUCE: (637), (23394) imply:
% 176.58/27.46 | | | | | | | (23407) op(e2, e0) = all_65_3
% 176.58/27.46 | | | | | | |
% 176.58/27.46 | | | | | | | REDUCE: (21515), (23394) imply:
% 176.58/27.46 | | | | | | | (23408) op(all_4_1, e1) = e2
% 176.58/27.46 | | | | | | |
% 176.58/27.46 | | | | | | | REDUCE: (698), (23394) imply:
% 176.58/27.46 | | | | | | | (23409) op(e3, e2) = all_65_0
% 176.58/27.46 | | | | | | |
% 176.58/27.46 | | | | | | | REDUCE: (67), (23394) imply:
% 176.58/27.46 | | | | | | | (23410) op(e3, e3) = e2
% 176.58/27.46 | | | | | | |
% 176.58/27.46 | | | | | | | REDUCE: (715), (23394) imply:
% 176.58/27.46 | | | | | | | (23411) op(e2, e2) = all_65_16
% 176.58/27.46 | | | | | | |
% 176.58/27.46 | | | | | | | REDUCE: (732), (23394) imply:
% 176.58/27.46 | | | | | | | (23412) op(e1, e2) = all_65_32
% 176.58/27.46 | | | | | | |
% 176.58/27.46 | | | | | | | REDUCE: (749), (23394) imply:
% 176.58/27.46 | | | | | | | (23413) op(e0, e2) = all_65_49
% 176.58/27.46 | | | | | | |
% 176.58/27.46 | | | | | | | BETA: splitting (86) gives:
% 176.58/27.46 | | | | | | |
% 176.58/27.46 | | | | | | | Case 1:
% 176.58/27.46 | | | | | | | |
% 176.58/27.46 | | | | | | | | (23414) ~ (all_26_2 = e2)
% 176.58/27.46 | | | | | | | |
% 176.58/27.46 | | | | | | | | REDUCE: (23398), (23414) imply:
% 176.58/27.46 | | | | | | | | (23415) $false
% 176.58/27.46 | | | | | | | |
% 176.58/27.46 | | | | | | | | CLOSE: (23415) is inconsistent.
% 176.58/27.46 | | | | | | | |
% 176.58/27.46 | | | | | | | Case 2:
% 176.58/27.46 | | | | | | | |
% 176.58/27.46 | | | | | | | | (23416) op(e3, e2) = all_26_1 & $i(all_26_1) & ( ~ (all_26_1
% 176.58/27.46 | | | | | | | | = e1) | ( ~ (all_26_0 = e0) & op(e1, e3) =
% 176.58/27.46 | | | | | | | | all_26_0 & $i(all_26_0)))
% 176.58/27.46 | | | | | | | |
% 176.58/27.46 | | | | | | | | ALPHA: (23416) implies:
% 176.58/27.46 | | | | | | | | (23417) op(e3, e2) = all_26_1
% 176.58/27.46 | | | | | | | |
% 176.58/27.46 | | | | | | | | GROUND_INST: instantiating (50) with all_61_7, all_65_49, e2,
% 176.58/27.46 | | | | | | | | e0, simplifying with (225), (23413) gives:
% 176.58/27.46 | | | | | | | | (23418) all_65_49 = all_61_7
% 176.58/27.46 | | | | | | | |
% 176.58/27.46 | | | | | | | | GROUND_INST: instantiating (50) with all_61_6, all_65_32, e2,
% 176.58/27.46 | | | | | | | | e1, simplifying with (229), (23412) gives:
% 176.58/27.46 | | | | | | | | (23419) all_65_32 = all_61_6
% 176.58/27.46 | | | | | | | |
% 176.58/27.46 | | | | | | | | GROUND_INST: instantiating (50) with all_61_13, all_65_3, e0,
% 176.58/27.46 | | | | | | | | e2, simplifying with (231), (23407) gives:
% 176.58/27.46 | | | | | | | | (23420) all_65_3 = all_61_13
% 176.58/27.46 | | | | | | | |
% 176.58/27.46 | | | | | | | | GROUND_INST: instantiating (50) with all_61_9, all_65_32, e1,
% 176.58/27.46 | | | | | | | | e2, simplifying with (232), (23406) gives:
% 176.58/27.46 | | | | | | | | (23421) all_65_32 = all_61_9
% 176.58/27.46 | | | | | | | |
% 176.58/27.46 | | | | | | | | GROUND_INST: instantiating (50) with all_6_2, all_65_1, e2, e2,
% 176.58/27.46 | | | | | | | | simplifying with (55), (23405) gives:
% 176.58/27.46 | | | | | | | | (23422) all_65_1 = all_6_2
% 176.58/27.46 | | | | | | | |
% 176.58/27.46 | | | | | | | | GROUND_INST: instantiating (50) with all_65_16, all_65_1, e2,
% 176.58/27.46 | | | | | | | | e2, simplifying with (23405), (23411) gives:
% 176.58/27.46 | | | | | | | | (23423) all_65_1 = all_65_16
% 176.58/27.46 | | | | | | | |
% 176.58/27.46 | | | | | | | | GROUND_INST: instantiating (50) with all_61_1, all_65_0, e3, e2,
% 176.58/27.46 | | | | | | | | simplifying with (234), (23404) gives:
% 176.58/27.46 | | | | | | | | (23424) all_65_0 = all_61_1
% 176.58/27.46 | | | | | | | |
% 176.58/27.46 | | | | | | | | GROUND_INST: instantiating (50) with all_61_4, all_26_1, e2, e3,
% 176.58/27.46 | | | | | | | | simplifying with (237), (23417) gives:
% 176.58/27.46 | | | | | | | | (23425) all_61_4 = all_26_1
% 176.58/27.46 | | | | | | | |
% 176.58/27.46 | | | | | | | | GROUND_INST: instantiating (50) with all_61_4, all_65_0, e2, e3,
% 176.58/27.46 | | | | | | | | simplifying with (237), (23409) gives:
% 176.58/27.46 | | | | | | | | (23426) all_65_0 = all_61_4
% 176.58/27.46 | | | | | | | |
% 176.58/27.46 | | | | | | | | GROUND_INST: instantiating (50) with all_14_1, all_65_0, e2, e3,
% 176.58/27.46 | | | | | | | | simplifying with (23396), (23409) gives:
% 176.58/27.46 | | | | | | | | (23427) all_65_0 = all_14_1
% 176.58/27.46 | | | | | | | |
% 176.58/27.46 | | | | | | | | COMBINE_EQS: (23426), (23427) imply:
% 176.58/27.46 | | | | | | | | (23428) all_61_4 = all_14_1
% 176.58/27.46 | | | | | | | |
% 176.58/27.46 | | | | | | | | SIMP: (23428) implies:
% 176.58/27.46 | | | | | | | | (23429) all_61_4 = all_14_1
% 176.58/27.46 | | | | | | | |
% 176.58/27.46 | | | | | | | | COMBINE_EQS: (23424), (23427) imply:
% 176.58/27.46 | | | | | | | | (23430) all_61_1 = all_14_1
% 176.58/27.46 | | | | | | | |
% 176.58/27.46 | | | | | | | | SIMP: (23430) implies:
% 176.58/27.46 | | | | | | | | (23431) all_61_1 = all_14_1
% 176.58/27.46 | | | | | | | |
% 176.58/27.46 | | | | | | | | COMBINE_EQS: (23422), (23423) imply:
% 176.58/27.46 | | | | | | | | (23432) all_65_16 = all_6_2
% 176.58/27.46 | | | | | | | |
% 176.58/27.46 | | | | | | | | SIMP: (23432) implies:
% 176.58/27.46 | | | | | | | | (23433) all_65_16 = all_6_2
% 176.58/27.46 | | | | | | | |
% 176.58/27.46 | | | | | | | | COMBINE_EQS: (23419), (23421) imply:
% 176.58/27.46 | | | | | | | | (23434) all_61_6 = all_61_9
% 176.58/27.46 | | | | | | | |
% 176.58/27.46 | | | | | | | | SIMP: (23434) implies:
% 176.58/27.46 | | | | | | | | (23435) all_61_6 = all_61_9
% 176.58/27.46 | | | | | | | |
% 176.58/27.46 | | | | | | | | COMBINE_EQS: (23425), (23429) imply:
% 176.58/27.46 | | | | | | | | (23436) all_26_1 = all_14_1
% 176.58/27.46 | | | | | | | |
% 176.58/27.46 | | | | | | | | COMBINE_EQS: (501), (23435) imply:
% 176.58/27.46 | | | | | | | | (23437) all_63_9 = all_61_9
% 176.58/27.46 | | | | | | | |
% 176.58/27.46 | | | | | | | | COMBINE_EQS: (493), (23431) imply:
% 176.58/27.46 | | | | | | | | (23438) all_63_4 = all_14_1
% 176.58/27.46 | | | | | | | |
% 176.58/27.46 | | | | | | | | REDUCE: (215), (23431) imply:
% 176.58/27.46 | | | | | | | | (23439) ~ (all_61_3 = all_14_1)
% 176.58/27.46 | | | | | | | |
% 176.58/27.46 | | | | | | | | SIMP: (23439) implies:
% 176.58/27.46 | | | | | | | | (23440) ~ (all_61_3 = all_14_1)
% 176.58/27.46 | | | | | | | |
% 176.58/27.46 | | | | | | | | REDUCE: (212), (23431) imply:
% 176.58/27.46 | | | | | | | | (23441) ~ (all_61_13 = all_14_1)
% 176.58/27.46 | | | | | | | |
% 176.58/27.46 | | | | | | | | SIMP: (23441) implies:
% 176.58/27.46 | | | | | | | | (23442) ~ (all_61_13 = all_14_1)
% 176.58/27.46 | | | | | | | |
% 176.58/27.46 | | | | | | | | REDUCE: (203), (23429), (23435) imply:
% 176.58/27.46 | | | | | | | | (23443) ~ (all_61_9 = all_14_1)
% 176.58/27.46 | | | | | | | |
% 176.58/27.46 | | | | | | | | SIMP: (23443) implies:
% 176.58/27.46 | | | | | | | | (23444) ~ (all_61_9 = all_14_1)
% 176.58/27.46 | | | | | | | |
% 176.58/27.46 | | | | | | | | REDUCE: (202), (23429) imply:
% 176.58/27.46 | | | | | | | | (23445) ~ (all_61_7 = all_14_1)
% 176.58/27.46 | | | | | | | |
% 176.58/27.46 | | | | | | | | SIMP: (23445) implies:
% 176.58/27.46 | | | | | | | | (23446) ~ (all_61_7 = all_14_1)
% 176.58/27.46 | | | | | | | |
% 176.58/27.46 | | | | | | | | REDUCE: (200), (23429) imply:
% 176.58/27.46 | | | | | | | | (23447) ~ (all_61_12 = all_14_1)
% 176.58/27.46 | | | | | | | |
% 176.58/27.46 | | | | | | | | SIMP: (23447) implies:
% 176.58/27.46 | | | | | | | | (23448) ~ (all_61_12 = all_14_1)
% 176.58/27.46 | | | | | | | |
% 176.58/27.46 | | | | | | | | REDUCE: (607), (23429) imply:
% 176.58/27.46 | | | | | | | | (23449) ~ (all_14_1 = all_6_2)
% 176.58/27.46 | | | | | | | |
% 176.58/27.46 | | | | | | | | REDUCE: (21499), (23429) imply:
% 176.58/27.46 | | | | | | | | (23450) ~ (all_14_1 = all_4_1)
% 176.58/27.46 | | | | | | | |
% 176.58/27.46 | | | | | | | | REDUCE: (23400), (23429) imply:
% 176.58/27.46 | | | | | | | | (23451) ~ (all_14_1 = e2)
% 176.58/27.46 | | | | | | | |
% 176.58/27.46 | | | | | | | | REDUCE: (193), (23435) imply:
% 176.58/27.46 | | | | | | | | (23452) ~ (all_61_9 = all_61_14)
% 176.58/27.46 | | | | | | | |
% 176.58/27.46 | | | | | | | | REDUCE: (650), (23431), (23433) imply:
% 176.58/27.46 | | | | | | | | (23453) op(all_14_1, e3) = all_6_2
% 176.58/27.46 | | | | | | | |
% 176.58/27.46 | | | | | | | | REDUCE: (651), (23431) imply:
% 176.58/27.46 | | | | | | | | (23454) op(all_14_1, e2) = all_65_17
% 176.58/27.47 | | | | | | | |
% 176.58/27.47 | | | | | | | | REDUCE: (638), (23429) imply:
% 176.58/27.47 | | | | | | | | (23455) op(all_14_1, e3) = all_65_4
% 176.58/27.47 | | | | | | | |
% 176.58/27.47 | | | | | | | | REDUCE: (639), (23429) imply:
% 176.58/27.47 | | | | | | | | (23456) op(all_14_1, e2) = all_65_5
% 176.58/27.47 | | | | | | | |
% 176.58/27.47 | | | | | | | | REDUCE: (671), (23435) imply:
% 176.58/27.47 | | | | | | | | (23457) op(all_61_9, e2) = all_65_37
% 176.58/27.47 | | | | | | | |
% 176.58/27.47 | | | | | | | | REDUCE: (672), (23435) imply:
% 176.58/27.47 | | | | | | | | (23458) op(all_61_9, e1) = all_65_38
% 176.58/27.47 | | | | | | | |
% 176.58/27.47 | | | | | | | | REDUCE: (21517), (23431) imply:
% 176.58/27.47 | | | | | | | | (23459) op(all_61_9, e1) = all_14_1
% 176.58/27.47 | | | | | | | |
% 176.58/27.47 | | | | | | | | REDUCE: (719), (23431) imply:
% 176.58/27.47 | | | | | | | | (23460) op(e2, all_14_1) = all_65_20
% 176.58/27.47 | | | | | | | |
% 176.58/27.47 | | | | | | | | REDUCE: (716), (23429) imply:
% 176.58/27.47 | | | | | | | | (23461) op(e2, all_14_1) = all_65_17
% 176.58/27.47 | | | | | | | |
% 176.58/27.47 | | | | | | | | REDUCE: (724), (23435) imply:
% 176.58/27.47 | | | | | | | | (23462) op(e2, all_61_9) = all_65_25
% 176.58/27.47 | | | | | | | |
% 176.58/27.47 | | | | | | | | REDUCE: (229), (23435) imply:
% 176.58/27.47 | | | | | | | | (23463) op(e1, e2) = all_61_9
% 176.58/27.47 | | | | | | | |
% 176.58/27.47 | | | | | | | | GROUND_INST: instantiating (50) with all_65_20, all_65_17,
% 176.58/27.47 | | | | | | | | all_14_1, e2, simplifying with (23460), (23461)
% 176.58/27.47 | | | | | | | | gives:
% 176.58/27.47 | | | | | | | | (23464) all_65_17 = all_65_20
% 176.58/27.47 | | | | | | | |
% 176.58/27.47 | | | | | | | | GROUND_INST: instantiating (50) with all_65_22, all_65_25,
% 176.58/27.47 | | | | | | | | all_61_9, e2, simplifying with (721), (23462)
% 176.58/27.47 | | | | | | | | gives:
% 176.58/27.47 | | | | | | | | (23465) all_65_22 = all_65_25
% 176.58/27.47 | | | | | | | |
% 176.58/27.47 | | | | | | | | GROUND_INST: instantiating (50) with all_65_17, all_65_5, e2,
% 176.58/27.47 | | | | | | | | all_14_1, simplifying with (23454), (23456) gives:
% 176.58/27.47 | | | | | | | | (23466) all_65_5 = all_65_17
% 176.58/27.47 | | | | | | | |
% 176.58/27.47 | | | | | | | | GROUND_INST: instantiating (50) with all_6_2, all_65_4, e3,
% 176.58/27.47 | | | | | | | | all_14_1, simplifying with (23453), (23455) gives:
% 176.58/27.47 | | | | | | | | (23467) all_65_4 = all_6_2
% 176.58/27.47 | | | | | | | |
% 176.58/27.47 | | | | | | | | GROUND_INST: instantiating (50) with all_14_1, all_65_38, e1,
% 176.58/27.47 | | | | | | | | all_61_9, simplifying with (23458), (23459) gives:
% 176.58/27.47 | | | | | | | | (23468) all_65_38 = all_14_1
% 176.58/27.47 | | | | | | | |
% 176.58/27.47 | | | | | | | | GROUND_INST: instantiating (50) with all_65_25, all_65_37, e2,
% 176.58/27.47 | | | | | | | | all_61_9, simplifying with (659), (23457) gives:
% 176.58/27.47 | | | | | | | | (23469) all_65_25 = all_65_37
% 176.58/27.47 | | | | | | | |
% 176.58/27.47 | | | | | | | | COMBINE_EQS: (23465), (23469) imply:
% 176.58/27.47 | | | | | | | | (23470) all_65_22 = all_65_37
% 176.58/27.47 | | | | | | | |
% 176.58/27.47 | | | | | | | | COMBINE_EQS: (23464), (23466) imply:
% 176.58/27.47 | | | | | | | | (23471) all_65_5 = all_65_20
% 176.58/27.47 | | | | | | | |
% 176.58/27.47 | | | | | | | | REDUCE: (656), (23470) imply:
% 176.58/27.47 | | | | | | | | (23472) op(all_6_2, e1) = all_65_37
% 176.58/27.47 | | | | | | | |
% 176.58/27.47 | | | | | | | | REDUCE: (703), (23471) imply:
% 176.58/27.47 | | | | | | | | (23473) op(e3, all_6_2) = all_65_20
% 176.58/27.47 | | | | | | | |
% 176.58/27.47 | | | | | | | | REDUCE: (738), (23468) imply:
% 176.58/27.47 | | | | | | | | (23474) op(e1, all_61_9) = all_14_1
% 176.58/27.47 | | | | | | | |
% 176.58/27.47 | | | | | | | | BETA: splitting (77) gives:
% 176.58/27.47 | | | | | | | |
% 176.58/27.47 | | | | | | | | Case 1:
% 176.58/27.47 | | | | | | | | |
% 176.58/27.47 | | | | | | | | | (23475) ~ (all_20_2 = e2)
% 176.58/27.47 | | | | | | | | |
% 176.58/27.47 | | | | | | | | | BETA: splitting (80) gives:
% 176.58/27.47 | | | | | | | | |
% 176.58/27.47 | | | | | | | | | Case 1:
% 176.58/27.47 | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | (23476) ~ (all_22_2 = e0)
% 176.58/27.47 | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | REDUCE: (449), (23476) imply:
% 176.58/27.47 | | | | | | | | | | (23477) ~ (all_6_2 = e0)
% 176.58/27.47 | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | BETA: splitting (266) gives:
% 176.58/27.47 | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | Case 1:
% 176.58/27.47 | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | | (23478) all_63_5 = e3
% 176.58/27.47 | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | | COMBINE_EQS: (587), (23478) imply:
% 176.58/27.47 | | | | | | | | | | | (23479) all_6_2 = e3
% 176.58/27.47 | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | | REDUCE: (21541), (23479) imply:
% 176.58/27.47 | | | | | | | | | | | (23480) $false
% 176.58/27.47 | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | | CLOSE: (23480) is inconsistent.
% 176.58/27.47 | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | Case 2:
% 176.58/27.47 | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | | (23481) all_63_5 = e2 | all_63_5 = e1 | all_63_5 = e0
% 176.58/27.47 | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | | BETA: splitting (23481) gives:
% 176.58/27.47 | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | | Case 1:
% 176.58/27.47 | | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | | | (23482) all_63_5 = e2
% 176.58/27.47 | | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | | | COMBINE_EQS: (587), (23482) imply:
% 176.58/27.47 | | | | | | | | | | | | (23483) all_6_2 = e2
% 176.58/27.47 | | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | | | REDUCE: (611), (23483) imply:
% 176.58/27.47 | | | | | | | | | | | | (23484) ~ (all_61_7 = e2)
% 176.58/27.47 | | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | | | REDUCE: (613), (23483) imply:
% 176.58/27.47 | | | | | | | | | | | | (23485) ~ (all_61_9 = e2)
% 176.58/27.47 | | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | | | REDUCE: (615), (23483) imply:
% 176.58/27.47 | | | | | | | | | | | | (23486) ~ (all_61_13 = e2)
% 176.58/27.47 | | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | | | REDUCE: (23472), (23483) imply:
% 176.58/27.47 | | | | | | | | | | | | (23487) op(e2, e1) = all_65_37
% 176.58/27.47 | | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | | | REDUCE: (657), (23483) imply:
% 176.58/27.47 | | | | | | | | | | | | (23488) op(e2, e0) = all_65_23
% 176.58/27.47 | | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | | | REDUCE: (754), (23483) imply:
% 176.58/27.47 | | | | | | | | | | | | (23489) op(e0, e2) = all_65_59
% 176.58/27.47 | | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_7, all_65_59, e2,
% 176.58/27.47 | | | | | | | | | | | | e0, simplifying with (225), (23489) gives:
% 176.58/27.47 | | | | | | | | | | | | (23490) all_65_59 = all_61_7
% 176.58/27.47 | | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_13, all_65_23, e0,
% 176.58/27.47 | | | | | | | | | | | | e2, simplifying with (231), (23488) gives:
% 176.58/27.47 | | | | | | | | | | | | (23491) all_65_23 = all_61_13
% 176.58/27.47 | | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_9, all_65_37, e1,
% 176.58/27.47 | | | | | | | | | | | | e2, simplifying with (232), (23487) gives:
% 176.58/27.47 | | | | | | | | | | | | (23492) all_65_37 = all_61_9
% 176.58/27.47 | | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | | | REDUCE: (687), (23490) imply:
% 176.58/27.47 | | | | | | | | | | | | (23493) op(all_61_7, e2) = all_61_7
% 176.58/27.47 | | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | | | REDUCE: (23457), (23492) imply:
% 176.58/27.47 | | | | | | | | | | | | (23494) op(all_61_9, e2) = all_61_9
% 176.58/27.47 | | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | | | BETA: splitting (89) gives:
% 176.58/27.47 | | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | | | Case 1:
% 176.58/27.47 | | | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | | | | (23495) ~ (all_28_2 = e3)
% 176.58/27.47 | | | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | | | | REDUCE: (563), (23495) imply:
% 176.58/27.47 | | | | | | | | | | | | | (23496) ~ (all_20_2 = e3)
% 176.58/27.47 | | | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | | | | BETA: splitting (110) gives:
% 176.58/27.47 | | | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | | | | Case 1:
% 176.58/27.47 | | | | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | | | | | (23497) ~ (all_42_2 = e1)
% 176.58/27.47 | | | | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | | | | | REDUCE: (532), (23497) imply:
% 176.58/27.47 | | | | | | | | | | | | | | (23498) ~ (all_20_2 = e1)
% 176.58/27.47 | | | | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | | | | | BETA: splitting (256) gives:
% 176.58/27.47 | | | | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | | | | | Case 1:
% 176.58/27.47 | | | | | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | | | | | | (23499) all_63_15 = e3
% 176.58/27.47 | | | | | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | | | | | | REF_CLOSE: (422), (23496), (23499) are inconsistent by
% 176.58/27.47 | | | | | | | | | | | | | | | sub-proof #501.
% 176.58/27.47 | | | | | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | | | | | Case 2:
% 176.58/27.47 | | | | | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | | | | | | (23500) all_63_15 = e2 | all_63_15 = e1 | all_63_15 = e0
% 176.58/27.47 | | | | | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | | | | | | BETA: splitting (23500) gives:
% 176.58/27.47 | | | | | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | | | | | | Case 1:
% 176.58/27.47 | | | | | | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | | | | | | | (23501) all_63_15 = e2
% 176.58/27.47 | | | | | | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | | | | | | | REF_CLOSE: (422), (23475), (23501) are inconsistent by
% 176.58/27.47 | | | | | | | | | | | | | | | | sub-proof #500.
% 176.58/27.47 | | | | | | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | | | | | | Case 2:
% 176.58/27.47 | | | | | | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | | | | | | | (23502) all_63_15 = e1 | all_63_15 = e0
% 176.58/27.47 | | | | | | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | | | | | | | BETA: splitting (23502) gives:
% 176.58/27.47 | | | | | | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | | | | | | | Case 1:
% 176.58/27.47 | | | | | | | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | | | | | | | | (23503) all_63_15 = e1
% 176.58/27.47 | | | | | | | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | | | | | | | | REF_CLOSE: (422), (23498), (23503) are inconsistent by
% 176.58/27.47 | | | | | | | | | | | | | | | | | sub-proof #499.
% 176.58/27.47 | | | | | | | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | | | | | | | Case 2:
% 176.58/27.47 | | | | | | | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | | | | | | | | (23504) all_63_15 = e0
% 176.58/27.47 | | | | | | | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | | | | | | | | COMBINE_EQS: (422), (23504) imply:
% 176.58/27.47 | | | | | | | | | | | | | | | | | (23505) all_20_2 = e0
% 176.58/27.47 | | | | | | | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | | | | | | | | SIMP: (23505) implies:
% 176.58/27.47 | | | | | | | | | | | | | | | | | (23506) all_20_2 = e0
% 176.58/27.47 | | | | | | | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | | | | | | | | REDUCE: (617), (23506) imply:
% 176.58/27.47 | | | | | | | | | | | | | | | | | (23507) ~ (all_61_7 = e0)
% 176.58/27.47 | | | | | | | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | | | | | | | | REDUCE: (625), (23506) imply:
% 176.58/27.47 | | | | | | | | | | | | | | | | | (23508) ~ (all_61_12 = e0)
% 176.58/27.47 | | | | | | | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | | | | | | | | REDUCE: (627), (23506) imply:
% 176.58/27.47 | | | | | | | | | | | | | | | | | (23509) ~ (all_61_14 = e0)
% 176.58/27.47 | | | | | | | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | | | | | | | | REDUCE: (694), (23506) imply:
% 176.58/27.47 | | | | | | | | | | | | | | | | | (23510) op(e0, e3) = all_65_73
% 176.58/27.47 | | | | | | | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | | | | | | | | REDUCE: (695), (23506) imply:
% 176.58/27.47 | | | | | | | | | | | | | | | | | (23511) op(e0, e2) = all_65_75
% 176.58/27.47 | | | | | | | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | | | | | | | | REDUCE: (696), (23506) imply:
% 176.58/27.47 | | | | | | | | | | | | | | | | | (23512) op(e0, e1) = all_65_77
% 176.58/27.47 | | | | | | | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | | | | | | | | REDUCE: (713), (23506) imply:
% 176.58/27.47 | | | | | | | | | | | | | | | | | (23513) op(e3, e0) = all_65_15
% 176.58/27.47 | | | | | | | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | | | | | | | | REDUCE: (730), (23506) imply:
% 176.58/27.47 | | | | | | | | | | | | | | | | | (23514) op(e2, e0) = all_65_31
% 176.58/27.47 | | | | | | | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | | | | | | | | REDUCE: (747), (23506) imply:
% 176.58/27.47 | | | | | | | | | | | | | | | | | (23515) op(e1, e0) = all_65_47
% 176.58/27.47 | | | | | | | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | | | | | | | | REDUCE: (764), (23506) imply:
% 176.58/27.47 | | | | | | | | | | | | | | | | | (23516) op(e0, e0) = all_65_78
% 176.58/27.47 | | | | | | | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | | | | | | | | REDUCE: (76), (23506) imply:
% 176.58/27.47 | | | | | | | | | | | | | | | | | (23517) op(e0, e0) = e0
% 176.58/27.47 | | | | | | | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e0, all_65_78, e0, e0,
% 176.58/27.47 | | | | | | | | | | | | | | | | | simplifying with (23516), (23517) gives:
% 176.58/27.47 | | | | | | | | | | | | | | | | | (23518) all_65_78 = e0
% 176.58/27.47 | | | | | | | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_11, all_65_77, e1,
% 176.58/27.47 | | | | | | | | | | | | | | | | | e0, simplifying with (224), (23512) gives:
% 176.58/27.47 | | | | | | | | | | | | | | | | | (23519) all_65_77 = all_61_11
% 176.58/27.47 | | | | | | | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_7, all_65_75, e2,
% 176.58/27.47 | | | | | | | | | | | | | | | | | e0, simplifying with (225), (23511) gives:
% 176.58/27.47 | | | | | | | | | | | | | | | | | (23520) all_65_75 = all_61_7
% 176.58/27.47 | | | | | | | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_3, all_65_73, e3,
% 176.58/27.47 | | | | | | | | | | | | | | | | | e0, simplifying with (226), (23510) gives:
% 176.58/27.47 | | | | | | | | | | | | | | | | | (23521) all_65_73 = all_61_3
% 176.58/27.47 | | | | | | | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_14, all_65_47, e0,
% 176.58/27.47 | | | | | | | | | | | | | | | | | e1, simplifying with (227), (23515) gives:
% 176.58/27.47 | | | | | | | | | | | | | | | | | (23522) all_65_47 = all_61_14
% 176.58/27.47 | | | | | | | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_13, all_65_31, e0,
% 176.58/27.47 | | | | | | | | | | | | | | | | | e2, simplifying with (231), (23514) gives:
% 176.58/27.47 | | | | | | | | | | | | | | | | | (23523) all_65_31 = all_61_13
% 176.58/27.47 | | | | | | | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_12, all_65_15, e0,
% 176.58/27.47 | | | | | | | | | | | | | | | | | e3, simplifying with (235), (23513) gives:
% 176.58/27.47 | | | | | | | | | | | | | | | | | (23524) all_65_15 = all_61_12
% 176.58/27.47 | | | | | | | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | | | | | | | | REDUCE: (681), (23522) imply:
% 176.58/27.47 | | | | | | | | | | | | | | | | | (23525) op(all_61_14, e0) = all_61_14
% 176.58/27.47 | | | | | | | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | | | | | | | | BETA: splitting (157) gives:
% 176.58/27.47 | | | | | | | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | | | | | | | | Case 1:
% 176.58/27.47 | | | | | | | | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | | | | | | | | | (23526) ~ (all_58_3 = e1)
% 176.58/27.47 | | | | | | | | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | | | | | | | | | REDUCE: (475), (23526) imply:
% 176.58/27.47 | | | | | | | | | | | | | | | | | | (23527) ~ (all_52_3 = e1)
% 176.58/27.47 | | | | | | | | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | | | | | | | | | BETA: splitting (159) gives:
% 176.58/27.47 | | | | | | | | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | | | | | | | | | Case 1:
% 176.58/27.47 | | | | | | | | | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | | | | | | | | | | (23528) ~ (all_58_3 = e3)
% 176.58/27.47 | | | | | | | | | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | | | | | | | | | | REDUCE: (475), (23528) imply:
% 176.58/27.47 | | | | | | | | | | | | | | | | | | | (23529) ~ (all_52_3 = e3)
% 176.58/27.47 | | | | | | | | | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (50), (148), (158), (163), (225), (231),
% 176.58/27.47 | | | | | | | | | | | | | | | | | | | (475), (481), (539), (663), (731), (765), (23486),
% 176.58/27.47 | | | | | | | | | | | | | | | | | | | (23493), (23517), (23527), (23529) are
% 176.58/27.47 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #53.
% 176.58/27.47 | | | | | | | | | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | | | | | | | | | Case 2:
% 176.58/27.47 | | | | | | | | | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | | | | | | | | | | (23530) all_58_3 = e3
% 176.58/27.47 | | | | | | | | | | | | | | | | | | | (23531) all_58_0 = e0
% 176.58/27.47 | | | | | | | | | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (484), (23531) imply:
% 176.58/27.47 | | | | | | | | | | | | | | | | | | | (23532) all_52_0 = e0
% 176.58/27.47 | | | | | | | | | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | | | | | | | | | | SIMP: (23532) implies:
% 176.58/27.47 | | | | | | | | | | | | | | | | | | | (23533) all_52_0 = e0
% 176.58/27.47 | | | | | | | | | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (475), (23530) imply:
% 176.58/27.47 | | | | | | | | | | | | | | | | | | | (23534) all_52_3 = e3
% 176.58/27.47 | | | | | | | | | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | | | | | | | | | | REDUCE: (714), (23533) imply:
% 176.58/27.47 | | | | | | | | | | | | | | | | | | | (23535) op(e3, e0) = unit
% 176.58/27.47 | | | | | | | | | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | | | | | | | | | | REDUCE: (765), (23534) imply:
% 176.58/27.47 | | | | | | | | | | | | | | | | | | | (23536) op(e0, e3) = unit
% 176.58/27.47 | | | | | | | | | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_3, unit, e3, e0,
% 176.58/27.47 | | | | | | | | | | | | | | | | | | | simplifying with (226), (23536) gives:
% 176.58/27.47 | | | | | | | | | | | | | | | | | | | (23537) all_61_3 = unit
% 176.58/27.47 | | | | | | | | | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_12, unit, e0, e3,
% 176.58/27.47 | | | | | | | | | | | | | | | | | | | simplifying with (235), (23535) gives:
% 176.58/27.47 | | | | | | | | | | | | | | | | | | | (23538) all_61_12 = unit
% 176.58/27.47 | | | | | | | | | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (491), (23538) imply:
% 176.58/27.47 | | | | | | | | | | | | | | | | | | | (23539) all_63_3 = unit
% 176.58/27.47 | | | | | | | | | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | | | | | | | | | | REDUCE: (207), (23537) imply:
% 176.58/27.47 | | | | | | | | | | | | | | | | | | | (23540) ~ (all_61_7 = unit)
% 176.58/27.47 | | | | | | | | | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | | | | | | | | | | SIMP: (23540) implies:
% 176.58/27.47 | | | | | | | | | | | | | | | | | | | (23541) ~ (all_61_7 = unit)
% 176.58/27.47 | | | | | | | | | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | | | | | | | | | | REDUCE: (23448), (23538) imply:
% 176.58/27.47 | | | | | | | | | | | | | | | | | | | (23542) ~ (all_14_1 = unit)
% 176.58/27.47 | | | | | | | | | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | | | | | | | | | | SIMP: (23542) implies:
% 176.58/27.47 | | | | | | | | | | | | | | | | | | | (23543) ~ (all_14_1 = unit)
% 176.58/27.47 | | | | | | | | | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | | | | | | | | | | REDUCE: (23401), (23538) imply:
% 176.58/27.47 | | | | | | | | | | | | | | | | | | | (23544) ~ (unit = e2)
% 176.58/27.47 | | | | | | | | | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | | | | | | | | | | REDUCE: (23508), (23538) imply:
% 176.58/27.47 | | | | | | | | | | | | | | | | | | | (23545) ~ (unit = e0)
% 176.58/27.47 | | | | | | | | | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | | | | | | | | | | BETA: splitting (268) gives:
% 176.58/27.47 | | | | | | | | | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | | | | | | | | | | Case 1:
% 176.58/27.47 | | | | | | | | | | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | | | | | | | | | | | (23546) all_63_3 = e3
% 176.58/27.47 | | | | | | | | | | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (23539), (23546) imply:
% 176.58/27.47 | | | | | | | | | | | | | | | | | | | | (23547) unit = e3
% 176.58/27.47 | | | | | | | | | | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | | | | | | | | | | | REDUCE: (21765), (23547) imply:
% 176.58/27.47 | | | | | | | | | | | | | | | | | | | | (23548) $false
% 176.58/27.47 | | | | | | | | | | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | | | | | | | | | | | CLOSE: (23548) is inconsistent.
% 176.58/27.47 | | | | | | | | | | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | | | | | | | | | | Case 2:
% 176.58/27.47 | | | | | | | | | | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | | | | | | | | | | | (23549) all_63_3 = e2 | all_63_3 = e1 | all_63_3 = e0
% 176.58/27.47 | | | | | | | | | | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | | | | | | | | | | | BETA: splitting (23549) gives:
% 176.58/27.47 | | | | | | | | | | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.58/27.47 | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | | | | | | | | | | | | (23550) all_63_3 = e2
% 176.58/27.47 | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (23539), (23550) imply:
% 176.58/27.47 | | | | | | | | | | | | | | | | | | | | | (23551) unit = e2
% 176.58/27.47 | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | | | | | | | | | | | | REDUCE: (23544), (23551) imply:
% 176.58/27.47 | | | | | | | | | | | | | | | | | | | | | (23552) $false
% 176.58/27.47 | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | | | | | | | | | | | | CLOSE: (23552) is inconsistent.
% 176.58/27.47 | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.58/27.47 | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | | | | | | | | | | | | (23553) all_63_3 = e1 | all_63_3 = e0
% 176.58/27.47 | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (23553) gives:
% 176.58/27.47 | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.58/27.47 | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | | | | | | | | | | | | | (23554) all_63_3 = e1
% 176.58/27.47 | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (23539), (23554) imply:
% 176.58/27.47 | | | | | | | | | | | | | | | | | | | | | | (23555) unit = e1
% 176.58/27.47 | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (23541), (23555) imply:
% 176.58/27.47 | | | | | | | | | | | | | | | | | | | | | | (23556) ~ (all_61_7 = e1)
% 176.58/27.47 | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (23543), (23555) imply:
% 176.58/27.47 | | | | | | | | | | | | | | | | | | | | | | (23557) ~ (all_14_1 = e1)
% 176.58/27.47 | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (23536), (23555) imply:
% 176.58/27.47 | | | | | | | | | | | | | | | | | | | | | | (23558) op(e0, e3) = e1
% 176.58/27.47 | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (258) gives:
% 176.58/27.47 | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.58/27.47 | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | | | | | | | | | | | | | | (23559) all_63_13 = e3
% 176.58/27.47 | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (508), (23559) imply:
% 176.58/27.47 | | | | | | | | | | | | | | | | | | | | | | | (23560) all_61_7 = e3
% 176.58/27.47 | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (23446), (23560) imply:
% 176.58/27.47 | | | | | | | | | | | | | | | | | | | | | | | (23561) ~ (all_14_1 = e3)
% 176.58/27.47 | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (23561) implies:
% 176.58/27.47 | | | | | | | | | | | | | | | | | | | | | | | (23562) ~ (all_14_1 = e3)
% 176.58/27.47 | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (50), (267), (23397), (23438), (23451), (23557),
% 176.58/27.47 | | | | | | | | | | | | | | | | | | | | | | | (23558), (23562) are inconsistent by sub-proof
% 176.58/27.47 | | | | | | | | | | | | | | | | | | | | | | | #295.
% 176.58/27.47 | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.58/27.47 | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | | | | | | | | | | | | | | (23563) all_63_13 = e2 | all_63_13 = e1 | all_63_13 = e0
% 176.58/27.47 | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (508), (23484), (23507), (23556), (23563) are
% 176.58/27.47 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #444.
% 176.58/27.47 | | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.58/27.47 | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.58/27.47 | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | | | | | | | | | | | | | (23564) all_63_3 = e0
% 176.58/27.47 | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (23539), (23564) imply:
% 176.58/27.47 | | | | | | | | | | | | | | | | | | | | | | (23565) unit = e0
% 176.58/27.47 | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (23545), (23565) imply:
% 176.58/27.47 | | | | | | | | | | | | | | | | | | | | | | (23566) $false
% 176.58/27.47 | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (23566) is inconsistent.
% 176.58/27.47 | | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | | | | | | | | | | | | End of split
% 176.58/27.47 | | | | | | | | | | | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | | | | | | | | | | | End of split
% 176.58/27.47 | | | | | | | | | | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | | | | | | | | | | End of split
% 176.58/27.47 | | | | | | | | | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | | | | | | | | | End of split
% 176.58/27.47 | | | | | | | | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | | | | | | | | Case 2:
% 176.58/27.47 | | | | | | | | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | | | | | | | | | (23567) all_58_3 = e1
% 176.58/27.47 | | | | | | | | | | | | | | | | | | (23568) all_58_2 = e0
% 176.58/27.47 | | | | | | | | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (478), (23568) imply:
% 176.58/27.47 | | | | | | | | | | | | | | | | | | (23569) all_52_2 = e0
% 176.58/27.47 | | | | | | | | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (50), (224), (227), (475), (693), (748),
% 176.58/27.47 | | | | | | | | | | | | | | | | | | (765), (23509), (23525), (23567), (23569) are
% 176.58/27.47 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #48.
% 176.58/27.47 | | | | | | | | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | | | | | | | | End of split
% 176.58/27.47 | | | | | | | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | | | | | | | End of split
% 176.58/27.47 | | | | | | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | | | | | | End of split
% 176.58/27.47 | | | | | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | | | | | End of split
% 176.58/27.47 | | | | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | | | | Case 2:
% 176.58/27.47 | | | | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | | | | | (23570) all_42_2 = e1
% 176.58/27.47 | | | | | | | | | | | | | | (23571) op(e0, e1) = all_42_1 & $i(all_42_1) & ( ~
% 176.58/27.47 | | | | | | | | | | | | | | (all_42_1 = e3) | ( ~ (all_42_0 = e2) & op(e3,
% 176.58/27.47 | | | | | | | | | | | | | | e0) = all_42_0 & $i(all_42_0)))
% 176.58/27.47 | | | | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | | | | | ALPHA: (23571) implies:
% 176.58/27.47 | | | | | | | | | | | | | | (23572) op(e0, e1) = all_42_1
% 176.58/27.47 | | | | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | | | | | COMBINE_EQS: (532), (23570) imply:
% 176.58/27.47 | | | | | | | | | | | | | | (23573) all_20_2 = e1
% 176.58/27.47 | | | | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | | | | | SIMP: (23573) implies:
% 176.58/27.47 | | | | | | | | | | | | | | (23574) all_20_2 = e1
% 176.58/27.47 | | | | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | | | | | REDUCE: (23475), (23574) imply:
% 176.58/27.47 | | | | | | | | | | | | | | (23575) ~ (e2 = e1)
% 176.58/27.47 | | | | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | | | | | REDUCE: (696), (23574) imply:
% 176.58/27.47 | | | | | | | | | | | | | | (23576) op(e1, e1) = all_65_77
% 176.58/27.47 | | | | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | | | | | REDUCE: (697), (23574) imply:
% 176.58/27.47 | | | | | | | | | | | | | | (23577) op(e1, e0) = all_65_78
% 176.58/27.47 | | | | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | | | | | REDUCE: (713), (23574) imply:
% 176.58/27.47 | | | | | | | | | | | | | | (23578) op(e3, e1) = all_65_15
% 176.58/27.47 | | | | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | | | | | REDUCE: (730), (23574) imply:
% 176.58/27.47 | | | | | | | | | | | | | | (23579) op(e2, e1) = all_65_31
% 176.58/27.47 | | | | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | | | | | REDUCE: (747), (23574) imply:
% 176.58/27.47 | | | | | | | | | | | | | | (23580) op(e1, e1) = all_65_47
% 176.58/27.47 | | | | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | | | | | REDUCE: (764), (23574) imply:
% 176.58/27.47 | | | | | | | | | | | | | | (23581) op(e0, e1) = all_65_78
% 176.58/27.47 | | | | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_11, all_42_1, e1,
% 176.58/27.47 | | | | | | | | | | | | | | e0, simplifying with (224), (23572) gives:
% 176.58/27.47 | | | | | | | | | | | | | | (23582) all_61_11 = all_42_1
% 176.58/27.47 | | | | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_11, all_65_78, e1,
% 176.58/27.47 | | | | | | | | | | | | | | e0, simplifying with (224), (23581) gives:
% 176.58/27.47 | | | | | | | | | | | | | | (23583) all_65_78 = all_61_11
% 176.58/27.47 | | | | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_14, all_65_78, e0,
% 176.58/27.47 | | | | | | | | | | | | | | e1, simplifying with (227), (23577) gives:
% 176.58/27.47 | | | | | | | | | | | | | | (23584) all_65_78 = all_61_14
% 176.58/27.47 | | | | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e3, all_65_47, e1, e1,
% 176.58/27.47 | | | | | | | | | | | | | | simplifying with (21466), (23580) gives:
% 176.58/27.47 | | | | | | | | | | | | | | (23585) all_65_47 = e3
% 176.58/27.47 | | | | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_77, all_65_47, e1,
% 176.58/27.47 | | | | | | | | | | | | | | e1, simplifying with (23576), (23580) gives:
% 176.58/27.47 | | | | | | | | | | | | | | (23586) all_65_47 = all_65_77
% 176.58/27.47 | | | | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_9, all_65_31, e1,
% 176.58/27.47 | | | | | | | | | | | | | | e2, simplifying with (232), (23579) gives:
% 176.58/27.47 | | | | | | | | | | | | | | (23587) all_65_31 = all_61_9
% 176.58/27.47 | | | | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_4_1, all_65_15, e1,
% 176.58/27.47 | | | | | | | | | | | | | | e3, simplifying with (21521), (23578) gives:
% 176.58/27.47 | | | | | | | | | | | | | | (23588) all_65_15 = all_4_1
% 176.58/27.47 | | | | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | | | | | COMBINE_EQS: (23585), (23586) imply:
% 176.58/27.47 | | | | | | | | | | | | | | (23589) all_65_77 = e3
% 176.58/27.47 | | | | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | | | | | SIMP: (23589) implies:
% 176.58/27.47 | | | | | | | | | | | | | | (23590) all_65_77 = e3
% 176.58/27.47 | | | | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | | | | | COMBINE_EQS: (23583), (23584) imply:
% 176.58/27.47 | | | | | | | | | | | | | | (23591) all_61_11 = all_61_14
% 176.58/27.47 | | | | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | | | | | SIMP: (23591) implies:
% 176.58/27.47 | | | | | | | | | | | | | | (23592) all_61_11 = all_61_14
% 176.58/27.47 | | | | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | | | | | COMBINE_EQS: (23582), (23592) imply:
% 176.58/27.47 | | | | | | | | | | | | | | (23593) all_61_14 = all_42_1
% 176.58/27.47 | | | | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | | | | | REDUCE: (693), (23582) imply:
% 176.58/27.47 | | | | | | | | | | | | | | (23594) op(all_42_1, e0) = all_65_71
% 176.58/27.47 | | | | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | | | | | REDUCE: (681), (23585), (23593) imply:
% 176.58/27.47 | | | | | | | | | | | | | | (23595) op(all_42_1, e0) = e3
% 176.58/27.47 | | | | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | | | | | REDUCE: (227), (23593) imply:
% 176.58/27.47 | | | | | | | | | | | | | | (23596) op(e1, e0) = all_42_1
% 176.58/27.47 | | | | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e3, all_65_71, e0,
% 176.58/27.47 | | | | | | | | | | | | | | all_42_1, simplifying with (23594), (23595) gives:
% 176.58/27.47 | | | | | | | | | | | | | | (23597) all_65_71 = e3
% 176.58/27.47 | | | | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | | | | | BETA: splitting (157) gives:
% 176.58/27.47 | | | | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | | | | | Case 1:
% 176.58/27.47 | | | | | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | | | | | | (23598) ~ (all_58_3 = e1)
% 176.58/27.47 | | | | | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | | | | | | REDUCE: (475), (23598) imply:
% 176.58/27.47 | | | | | | | | | | | | | | | (23599) ~ (all_52_3 = e1)
% 176.58/27.47 | | | | | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (20), (50), (149), (160), (161), (162),
% 176.58/27.47 | | | | | | | | | | | | | | | (232), (475), (478), (481), (484), (538), (714),
% 176.58/27.47 | | | | | | | | | | | | | | | (731), (748), (21466), (21521), (21765), (23408),
% 176.58/27.47 | | | | | | | | | | | | | | | (23485), (23494), (23599) are inconsistent by
% 176.58/27.47 | | | | | | | | | | | | | | | sub-proof #20.
% 176.58/27.47 | | | | | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | | | | | Case 2:
% 176.58/27.47 | | | | | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | | | | | | (23600) all_58_2 = e0
% 176.58/27.47 | | | | | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | | | | | | REF_CLOSE: (7), (21), (50), (478), (748), (23595), (23596),
% 176.58/27.47 | | | | | | | | | | | | | | | (23600) are inconsistent by sub-proof #37.
% 176.58/27.47 | | | | | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | | | | | End of split
% 176.58/27.47 | | | | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | | | | End of split
% 176.58/27.47 | | | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | | | Case 2:
% 176.58/27.47 | | | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | | | | (23601) all_28_2 = e3
% 176.58/27.47 | | | | | | | | | | | | | (23602) op(e0, e3) = all_28_1 & $i(all_28_1) & ( ~
% 176.58/27.47 | | | | | | | | | | | | | (all_28_1 = e2) | ( ~ (all_28_0 = e1) & op(e2,
% 176.58/27.47 | | | | | | | | | | | | | e0) = all_28_0 & $i(all_28_0)))
% 176.58/27.47 | | | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | | | | ALPHA: (23602) implies:
% 176.58/27.47 | | | | | | | | | | | | | (23603) op(e0, e3) = all_28_1
% 176.58/27.47 | | | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | | | | COMBINE_EQS: (563), (23601) imply:
% 176.58/27.47 | | | | | | | | | | | | | (23604) all_20_2 = e3
% 176.58/27.47 | | | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | | | | REDUCE: (694), (23604) imply:
% 176.58/27.47 | | | | | | | | | | | | | (23605) op(e3, e3) = all_65_73
% 176.58/27.47 | | | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | | | | REDUCE: (696), (23604) imply:
% 176.58/27.47 | | | | | | | | | | | | | (23606) op(e3, e1) = all_65_77
% 176.58/27.47 | | | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | | | | REDUCE: (697), (23604) imply:
% 176.58/27.47 | | | | | | | | | | | | | (23607) op(e3, e0) = all_65_78
% 176.58/27.47 | | | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | | | | REDUCE: (713), (23604) imply:
% 176.58/27.47 | | | | | | | | | | | | | (23608) op(e3, e3) = all_65_15
% 176.58/27.47 | | | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | | | | REDUCE: (747), (23604) imply:
% 176.58/27.47 | | | | | | | | | | | | | (23609) op(e1, e3) = all_65_47
% 176.58/27.47 | | | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | | | | REDUCE: (764), (23604) imply:
% 176.58/27.47 | | | | | | | | | | | | | (23610) op(e0, e3) = all_65_78
% 176.58/27.47 | | | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_3, all_65_78, e3,
% 176.58/27.47 | | | | | | | | | | | | | e0, simplifying with (226), (23610) gives:
% 176.58/27.47 | | | | | | | | | | | | | (23611) all_65_78 = all_61_3
% 176.58/27.47 | | | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_28_1, all_65_78, e3,
% 176.58/27.47 | | | | | | | | | | | | | e0, simplifying with (23603), (23610) gives:
% 176.58/27.47 | | | | | | | | | | | | | (23612) all_65_78 = all_28_1
% 176.58/27.47 | | | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_4_1, all_65_47, e3,
% 176.58/27.47 | | | | | | | | | | | | | e1, simplifying with (21451), (23609) gives:
% 176.58/27.47 | | | | | | | | | | | | | (23613) all_65_47 = all_4_1
% 176.58/27.47 | | | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_12, all_65_78, e0,
% 176.58/27.47 | | | | | | | | | | | | | e3, simplifying with (235), (23607) gives:
% 176.58/27.47 | | | | | | | | | | | | | (23614) all_65_78 = all_61_12
% 176.58/27.47 | | | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_4_1, all_65_77, e1,
% 176.58/27.47 | | | | | | | | | | | | | e3, simplifying with (21521), (23606) gives:
% 176.58/27.47 | | | | | | | | | | | | | (23615) all_65_77 = all_4_1
% 176.58/27.47 | | | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e2, all_65_15, e3, e3,
% 176.58/27.47 | | | | | | | | | | | | | simplifying with (23410), (23608) gives:
% 176.58/27.47 | | | | | | | | | | | | | (23616) all_65_15 = e2
% 176.58/27.47 | | | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_73, all_65_15, e3,
% 176.58/27.47 | | | | | | | | | | | | | e3, simplifying with (23605), (23608) gives:
% 176.58/27.47 | | | | | | | | | | | | | (23617) all_65_15 = all_65_73
% 176.58/27.47 | | | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | | | | COMBINE_EQS: (23616), (23617) imply:
% 176.58/27.47 | | | | | | | | | | | | | (23618) all_65_73 = e2
% 176.58/27.47 | | | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | | | | COMBINE_EQS: (23611), (23612) imply:
% 176.58/27.47 | | | | | | | | | | | | | (23619) all_61_3 = all_28_1
% 176.58/27.47 | | | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | | | | COMBINE_EQS: (23611), (23614) imply:
% 176.58/27.47 | | | | | | | | | | | | | (23620) all_61_3 = all_61_12
% 176.58/27.47 | | | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | | | | COMBINE_EQS: (23619), (23620) imply:
% 176.58/27.47 | | | | | | | | | | | | | (23621) all_61_12 = all_28_1
% 176.58/27.47 | | | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | | | | SIMP: (23621) implies:
% 176.58/27.47 | | | | | | | | | | | | | (23622) all_61_12 = all_28_1
% 176.58/27.47 | | | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | | | | REDUCE: (685), (23619) imply:
% 176.58/27.47 | | | | | | | | | | | | | (23623) op(all_28_1, e0) = all_65_55
% 176.58/27.47 | | | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | | | | REDUCE: (21518), (23619) imply:
% 176.58/27.47 | | | | | | | | | | | | | (23624) op(all_61_11, e1) = all_28_1
% 176.58/27.47 | | | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | | | | REDUCE: (649), (23616), (23622) imply:
% 176.58/27.47 | | | | | | | | | | | | | (23625) op(all_28_1, e0) = e2
% 176.58/27.47 | | | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | | | | REDUCE: (681), (23613) imply:
% 176.58/27.47 | | | | | | | | | | | | | (23626) op(all_61_14, e0) = all_4_1
% 176.58/27.47 | | | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | | | | REDUCE: (752), (23622) imply:
% 176.58/27.47 | | | | | | | | | | | | | (23627) op(e0, all_28_1) = all_65_55
% 176.58/27.47 | | | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e2, all_65_55, e0,
% 176.58/27.47 | | | | | | | | | | | | | all_28_1, simplifying with (23623), (23625) gives:
% 176.58/27.47 | | | | | | | | | | | | | (23628) all_65_55 = e2
% 176.58/27.47 | | | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | | | | REDUCE: (23627), (23628) imply:
% 176.58/27.47 | | | | | | | | | | | | | (23629) op(e0, all_28_1) = e2
% 176.58/27.47 | | | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | | | | BETA: splitting (157) gives:
% 176.58/27.47 | | | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | | | | Case 1:
% 176.58/27.47 | | | | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | | | | | (23630) ~ (all_58_3 = e1)
% 176.58/27.47 | | | | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | | | | | REDUCE: (475), (23630) imply:
% 176.58/27.47 | | | | | | | | | | | | | | (23631) ~ (all_52_3 = e1)
% 176.58/27.47 | | | | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (20), (50), (149), (160), (161), (162),
% 176.58/27.47 | | | | | | | | | | | | | | (232), (475), (478), (481), (484), (538), (714),
% 176.58/27.47 | | | | | | | | | | | | | | (731), (748), (21466), (21521), (21765), (23408),
% 176.58/27.47 | | | | | | | | | | | | | | (23485), (23494), (23631) are inconsistent by
% 176.58/27.47 | | | | | | | | | | | | | | sub-proof #20.
% 176.58/27.47 | | | | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | | | | Case 2:
% 176.58/27.47 | | | | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | | | | | (23632) all_58_3 = e1
% 176.58/27.47 | | | | | | | | | | | | | | (23633) all_58_2 = e0
% 176.58/27.47 | | | | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | | | | | COMBINE_EQS: (478), (23633) imply:
% 176.58/27.47 | | | | | | | | | | | | | | (23634) all_52_2 = e0
% 176.58/27.47 | | | | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | | | | | SIMP: (23634) implies:
% 176.58/27.47 | | | | | | | | | | | | | | (23635) all_52_2 = e0
% 176.58/27.47 | | | | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | | | | | COMBINE_EQS: (475), (23632) imply:
% 176.58/27.47 | | | | | | | | | | | | | | (23636) all_52_3 = e1
% 176.58/27.47 | | | | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | | | | | REDUCE: (748), (23635) imply:
% 176.58/27.47 | | | | | | | | | | | | | | (23637) op(e1, e0) = unit
% 176.58/27.47 | | | | | | | | | | | | | |
% 176.58/27.47 | | | | | | | | | | | | | | REDUCE: (765), (23636) imply:
% 176.58/27.47 | | | | | | | | | | | | | | (23638) op(e0, e1) = unit
% 176.58/27.47 | | | | | | | | | | | | | |
% 176.58/27.48 | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (50), (224), (227), (680), (693),
% 176.58/27.48 | | | | | | | | | | | | | | (21472), (21489), (23624), (23626), (23629),
% 176.70/27.48 | | | | | | | | | | | | | | (23637), (23638) are inconsistent by sub-proof
% 176.70/27.48 | | | | | | | | | | | | | | #19.
% 176.70/27.48 | | | | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | | | End of split
% 176.70/27.48 | | | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | | End of split
% 176.70/27.48 | | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | Case 2:
% 176.70/27.48 | | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | | (23639) all_63_5 = e1 | all_63_5 = e0
% 176.70/27.48 | | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | | REF_CLOSE: (587), (21768), (23477), (23639) are inconsistent
% 176.70/27.48 | | | | | | | | | | | | by sub-proof #524.
% 176.70/27.48 | | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | End of split
% 176.70/27.48 | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | End of split
% 176.70/27.48 | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | Case 2:
% 176.70/27.48 | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | (23640) all_22_2 = e0
% 176.70/27.48 | | | | | | | | | | (23641) op(e2, e0) = all_22_1 & $i(all_22_1) & ( ~
% 176.70/27.48 | | | | | | | | | | (all_22_1 = e1) | ( ~ (all_22_0 = e3) & op(e1,
% 176.70/27.48 | | | | | | | | | | e2) = all_22_0 & $i(all_22_0)))
% 176.70/27.48 | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | ALPHA: (23641) implies:
% 176.70/27.48 | | | | | | | | | | (23642) op(e2, e0) = all_22_1
% 176.70/27.48 | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | COMBINE_EQS: (449), (23640) imply:
% 176.70/27.48 | | | | | | | | | | (23643) all_6_2 = e0
% 176.70/27.48 | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | COMBINE_EQS: (580), (23643) imply:
% 176.70/27.48 | | | | | | | | | | (23644) all_38_2 = e0
% 176.70/27.48 | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | REDUCE: (613), (23643) imply:
% 176.70/27.48 | | | | | | | | | | (23645) ~ (all_61_9 = e0)
% 176.70/27.48 | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | REDUCE: (615), (23643) imply:
% 176.70/27.48 | | | | | | | | | | (23646) ~ (all_61_13 = e0)
% 176.70/27.48 | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | REDUCE: (21541), (23643) imply:
% 176.70/27.48 | | | | | | | | | | (23647) ~ (e3 = e0)
% 176.70/27.48 | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | REDUCE: (654), (23643) imply:
% 176.70/27.48 | | | | | | | | | | (23648) op(e0, e3) = all_65_20
% 176.70/27.48 | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | REDUCE: (655), (23643) imply:
% 176.70/27.48 | | | | | | | | | | (23649) op(e0, e2) = all_65_21
% 176.70/27.48 | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | REDUCE: (23472), (23643) imply:
% 176.70/27.48 | | | | | | | | | | (23650) op(e0, e1) = all_65_37
% 176.70/27.48 | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | REDUCE: (657), (23643) imply:
% 176.70/27.48 | | | | | | | | | | (23651) op(e0, e0) = all_65_23
% 176.70/27.48 | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | REDUCE: (23473), (23643) imply:
% 176.70/27.48 | | | | | | | | | | (23652) op(e3, e0) = all_65_20
% 176.70/27.48 | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | REDUCE: (720), (23643) imply:
% 176.70/27.48 | | | | | | | | | | (23653) op(e2, e0) = all_65_21
% 176.70/27.48 | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | REDUCE: (55), (23643) imply:
% 176.70/27.48 | | | | | | | | | | (23654) op(e2, e2) = e0
% 176.70/27.48 | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | REDUCE: (737), (23643) imply:
% 176.70/27.48 | | | | | | | | | | (23655) op(e1, e0) = all_65_37
% 176.70/27.48 | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | REDUCE: (754), (23643) imply:
% 176.70/27.48 | | | | | | | | | | (23656) op(e0, e0) = all_65_59
% 176.70/27.48 | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | BETA: splitting (104) gives:
% 176.70/27.48 | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | Case 1:
% 176.70/27.48 | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | (23657) ~ (all_38_2 = e0)
% 176.70/27.48 | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | REDUCE: (23644), (23657) imply:
% 176.70/27.48 | | | | | | | | | | | (23658) $false
% 176.70/27.48 | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | CLOSE: (23658) is inconsistent.
% 176.70/27.48 | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | Case 2:
% 176.70/27.48 | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | (23659) op(e2, e0) = all_38_1 & $i(all_38_1) & ( ~
% 176.70/27.48 | | | | | | | | | | | (all_38_1 = e3) | ( ~ (all_38_0 = e1) & op(e3,
% 176.70/27.48 | | | | | | | | | | | e2) = all_38_0 & $i(all_38_0)))
% 176.70/27.48 | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | ALPHA: (23659) implies:
% 176.70/27.48 | | | | | | | | | | | (23660) op(e2, e0) = all_38_1
% 176.70/27.48 | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | GROUND_INST: instantiating (50) with all_20_2, all_65_23, e0,
% 176.70/27.48 | | | | | | | | | | | e0, simplifying with (76), (23651) gives:
% 176.70/27.48 | | | | | | | | | | | (23661) all_65_23 = all_20_2
% 176.70/27.48 | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_59, all_65_23, e0,
% 176.70/27.48 | | | | | | | | | | | e0, simplifying with (23651), (23656) gives:
% 176.70/27.48 | | | | | | | | | | | (23662) all_65_23 = all_65_59
% 176.70/27.48 | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_11, all_65_37, e1,
% 176.70/27.48 | | | | | | | | | | | e0, simplifying with (224), (23650) gives:
% 176.70/27.48 | | | | | | | | | | | (23663) all_65_37 = all_61_11
% 176.70/27.48 | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_7, all_65_21, e2,
% 176.70/27.48 | | | | | | | | | | | e0, simplifying with (225), (23649) gives:
% 176.70/27.48 | | | | | | | | | | | (23664) all_65_21 = all_61_7
% 176.70/27.48 | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_3, all_65_20, e3,
% 176.70/27.48 | | | | | | | | | | | e0, simplifying with (226), (23648) gives:
% 176.70/27.48 | | | | | | | | | | | (23665) all_65_20 = all_61_3
% 176.70/27.48 | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_14, all_65_37, e0,
% 176.70/27.48 | | | | | | | | | | | e1, simplifying with (227), (23655) gives:
% 176.70/27.48 | | | | | | | | | | | (23666) all_65_37 = all_61_14
% 176.70/27.48 | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_13, all_38_1, e0,
% 176.70/27.48 | | | | | | | | | | | e2, simplifying with (231), (23660) gives:
% 176.70/27.48 | | | | | | | | | | | (23667) all_61_13 = all_38_1
% 176.70/27.48 | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_13, all_65_21, e0,
% 176.70/27.48 | | | | | | | | | | | e2, simplifying with (231), (23653) gives:
% 176.70/27.48 | | | | | | | | | | | (23668) all_65_21 = all_61_13
% 176.70/27.48 | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | GROUND_INST: instantiating (50) with all_22_1, all_65_21, e0,
% 176.70/27.48 | | | | | | | | | | | e2, simplifying with (23642), (23653) gives:
% 176.70/27.48 | | | | | | | | | | | (23669) all_65_21 = all_22_1
% 176.70/27.48 | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_12, all_65_20, e0,
% 176.70/27.48 | | | | | | | | | | | e3, simplifying with (235), (23652) gives:
% 176.70/27.48 | | | | | | | | | | | (23670) all_65_20 = all_61_12
% 176.70/27.48 | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | COMBINE_EQS: (23665), (23670) imply:
% 176.70/27.48 | | | | | | | | | | | (23671) all_61_3 = all_61_12
% 176.70/27.48 | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | SIMP: (23671) implies:
% 176.70/27.48 | | | | | | | | | | | (23672) all_61_3 = all_61_12
% 176.70/27.48 | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | COMBINE_EQS: (23664), (23669) imply:
% 176.70/27.48 | | | | | | | | | | | (23673) all_61_7 = all_22_1
% 176.70/27.48 | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | SIMP: (23673) implies:
% 176.70/27.48 | | | | | | | | | | | (23674) all_61_7 = all_22_1
% 176.70/27.48 | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | COMBINE_EQS: (23668), (23669) imply:
% 176.70/27.48 | | | | | | | | | | | (23675) all_61_13 = all_22_1
% 176.70/27.48 | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | SIMP: (23675) implies:
% 176.70/27.48 | | | | | | | | | | | (23676) all_61_13 = all_22_1
% 176.70/27.48 | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | COMBINE_EQS: (23661), (23662) imply:
% 176.70/27.48 | | | | | | | | | | | (23677) all_65_59 = all_20_2
% 176.70/27.48 | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | SIMP: (23677) implies:
% 176.70/27.48 | | | | | | | | | | | (23678) all_65_59 = all_20_2
% 176.70/27.48 | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | COMBINE_EQS: (23663), (23666) imply:
% 176.70/27.48 | | | | | | | | | | | (23679) all_61_11 = all_61_14
% 176.70/27.48 | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | COMBINE_EQS: (23667), (23676) imply:
% 176.70/27.48 | | | | | | | | | | | (23680) all_38_1 = all_22_1
% 176.70/27.48 | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | SIMP: (23680) implies:
% 176.70/27.48 | | | | | | | | | | | (23681) all_38_1 = all_22_1
% 176.70/27.48 | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | COMBINE_EQS: (508), (23674) imply:
% 176.70/27.48 | | | | | | | | | | | (23682) all_63_13 = all_22_1
% 176.70/27.48 | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | COMBINE_EQS: (506), (23672) imply:
% 176.70/27.48 | | | | | | | | | | | (23683) all_63_12 = all_61_12
% 176.70/27.48 | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | COMBINE_EQS: (498), (23676) imply:
% 176.70/27.48 | | | | | | | | | | | (23684) all_63_7 = all_22_1
% 176.70/27.48 | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | REDUCE: (184), (23676) imply:
% 176.70/27.48 | | | | | | | | | | | (23685) ~ (all_61_9 = all_22_1)
% 176.70/27.48 | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | REDUCE: (180), (23676) imply:
% 176.70/27.48 | | | | | | | | | | | (23686) ~ (all_61_12 = all_22_1)
% 176.70/27.48 | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | REDUCE: (177), (23676) imply:
% 176.70/27.48 | | | | | | | | | | | (23687) ~ (all_61_14 = all_22_1)
% 176.70/27.48 | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | SIMP: (23687) implies:
% 176.70/27.48 | | | | | | | | | | | (23688) ~ (all_61_14 = all_22_1)
% 176.70/27.48 | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | REDUCE: (626), (23676) imply:
% 176.70/27.48 | | | | | | | | | | | (23689) ~ (all_22_1 = all_20_2)
% 176.70/27.48 | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | REDUCE: (23442), (23676) imply:
% 176.70/27.48 | | | | | | | | | | | (23690) ~ (all_22_1 = all_14_1)
% 176.70/27.48 | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | REDUCE: (23646), (23676) imply:
% 176.70/27.48 | | | | | | | | | | | (23691) ~ (all_22_1 = e0)
% 176.70/27.48 | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | REDUCE: (685), (23672) imply:
% 176.70/27.48 | | | | | | | | | | | (23692) op(all_61_12, e0) = all_65_55
% 176.70/27.48 | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | REDUCE: (687), (23674), (23678) imply:
% 176.70/27.48 | | | | | | | | | | | (23693) op(all_22_1, e2) = all_20_2
% 176.70/27.48 | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | REDUCE: (689), (23674) imply:
% 176.70/27.48 | | | | | | | | | | | (23694) op(all_22_1, e0) = all_65_63
% 176.70/27.48 | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | REDUCE: (23457), (23666) imply:
% 176.70/27.48 | | | | | | | | | | | (23695) op(all_61_9, e2) = all_61_14
% 176.70/27.48 | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | REDUCE: (21518), (23672), (23679) imply:
% 176.70/27.48 | | | | | | | | | | | (23696) op(all_61_14, e1) = all_61_12
% 176.70/27.48 | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | REDUCE: (693), (23679) imply:
% 176.70/27.48 | | | | | | | | | | | (23697) op(all_61_14, e0) = all_65_71
% 176.70/27.48 | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | REDUCE: (663), (23676) imply:
% 176.70/27.48 | | | | | | | | | | | (23698) op(all_22_1, e2) = all_65_29
% 176.70/27.48 | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | REDUCE: (665), (23676) imply:
% 176.70/27.48 | | | | | | | | | | | (23699) op(all_22_1, e0) = all_65_31
% 176.70/27.48 | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | REDUCE: (761), (23672) imply:
% 176.70/27.48 | | | | | | | | | | | (23700) op(e0, all_61_12) = all_65_73
% 176.70/27.48 | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | REDUCE: (762), (23674) imply:
% 176.70/27.48 | | | | | | | | | | | (23701) op(e0, all_22_1) = all_65_75
% 176.70/27.48 | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | REDUCE: (763), (23679) imply:
% 176.70/27.48 | | | | | | | | | | | (23702) op(e0, all_61_14) = all_65_77
% 176.70/27.48 | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | REDUCE: (756), (23676) imply:
% 176.70/27.48 | | | | | | | | | | | (23703) op(e0, all_22_1) = all_65_63
% 176.70/27.48 | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_75, all_65_63,
% 176.70/27.48 | | | | | | | | | | | all_22_1, e0, simplifying with (23701), (23703)
% 176.70/27.48 | | | | | | | | | | | gives:
% 176.70/27.48 | | | | | | | | | | | (23704) all_65_63 = all_65_75
% 176.70/27.48 | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_71, all_65_77,
% 176.70/27.48 | | | | | | | | | | | all_61_14, e0, simplifying with (760), (23702)
% 176.70/27.48 | | | | | | | | | | | gives:
% 176.70/27.48 | | | | | | | | | | | (23705) all_65_71 = all_65_77
% 176.70/27.48 | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_55, all_65_73,
% 176.70/27.48 | | | | | | | | | | | all_61_12, e0, simplifying with (752), (23700)
% 176.70/27.48 | | | | | | | | | | | gives:
% 176.70/27.48 | | | | | | | | | | | (23706) all_65_55 = all_65_73
% 176.70/27.48 | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_63, all_65_31, e0,
% 176.70/27.48 | | | | | | | | | | | all_22_1, simplifying with (23694), (23699) gives:
% 176.70/27.48 | | | | | | | | | | | (23707) all_65_31 = all_65_63
% 176.70/27.48 | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | GROUND_INST: instantiating (50) with all_20_2, all_65_29, e2,
% 176.70/27.48 | | | | | | | | | | | all_22_1, simplifying with (23693), (23698) gives:
% 176.70/27.48 | | | | | | | | | | | (23708) all_65_29 = all_20_2
% 176.70/27.48 | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_47, all_65_71, e0,
% 176.70/27.48 | | | | | | | | | | | all_61_14, simplifying with (681), (23697) gives:
% 176.70/27.48 | | | | | | | | | | | (23709) all_65_47 = all_65_71
% 176.70/27.48 | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_46, all_61_12, e1,
% 176.70/27.48 | | | | | | | | | | | all_61_14, simplifying with (680), (23696) gives:
% 176.70/27.48 | | | | | | | | | | | (23710) all_65_46 = all_61_12
% 176.70/27.48 | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_15, all_65_55, e0,
% 176.70/27.48 | | | | | | | | | | | all_61_12, simplifying with (649), (23692) gives:
% 176.70/27.48 | | | | | | | | | | | (23711) all_65_15 = all_65_55
% 176.70/27.48 | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | COMBINE_EQS: (23705), (23709) imply:
% 176.70/27.48 | | | | | | | | | | | (23712) all_65_47 = all_65_77
% 176.70/27.48 | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | COMBINE_EQS: (23704), (23707) imply:
% 176.70/27.48 | | | | | | | | | | | (23713) all_65_31 = all_65_75
% 176.70/27.48 | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | COMBINE_EQS: (23706), (23711) imply:
% 176.70/27.48 | | | | | | | | | | | (23714) all_65_15 = all_65_73
% 176.70/27.48 | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | REDUCE: (23692), (23706) imply:
% 176.70/27.48 | | | | | | | | | | | (23715) op(all_61_12, e0) = all_65_73
% 176.70/27.48 | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | REDUCE: (23697), (23705) imply:
% 176.70/27.48 | | | | | | | | | | | (23716) op(all_61_14, e0) = all_65_77
% 176.70/27.48 | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | REDUCE: (713), (23714) imply:
% 176.70/27.48 | | | | | | | | | | | (23717) op(e3, all_20_2) = all_65_73
% 176.70/27.48 | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | REDUCE: (730), (23713) imply:
% 176.70/27.48 | | | | | | | | | | | (23718) op(e2, all_20_2) = all_65_75
% 176.70/27.48 | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | REDUCE: (747), (23712) imply:
% 176.70/27.48 | | | | | | | | | | | (23719) op(e1, all_20_2) = all_65_77
% 176.70/27.48 | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | BETA: splitting (89) gives:
% 176.70/27.48 | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | Case 1:
% 176.70/27.48 | | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | | (23720) ~ (all_28_2 = e3)
% 176.70/27.48 | | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | | REDUCE: (563), (23720) imply:
% 176.70/27.48 | | | | | | | | | | | | (23721) ~ (all_20_2 = e3)
% 176.70/27.48 | | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | | BETA: splitting (110) gives:
% 176.70/27.48 | | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | | Case 1:
% 176.70/27.48 | | | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | | | (23722) ~ (all_42_2 = e1)
% 176.70/27.48 | | | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | | | REDUCE: (532), (23722) imply:
% 176.70/27.48 | | | | | | | | | | | | | (23723) ~ (all_20_2 = e1)
% 176.70/27.48 | | | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | | | BETA: splitting (256) gives:
% 176.70/27.48 | | | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | | | Case 1:
% 176.70/27.48 | | | | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | | | | (23724) all_63_15 = e3
% 176.70/27.48 | | | | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | | | | REF_CLOSE: (422), (23721), (23724) are inconsistent by
% 176.70/27.48 | | | | | | | | | | | | | | sub-proof #501.
% 176.70/27.48 | | | | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | | | Case 2:
% 176.70/27.48 | | | | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | | | | (23725) all_63_15 = e2 | all_63_15 = e1 | all_63_15 = e0
% 176.70/27.48 | | | | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | | | | BETA: splitting (23725) gives:
% 176.70/27.48 | | | | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | | | | Case 1:
% 176.70/27.48 | | | | | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | | | | | (23726) all_63_15 = e2
% 176.70/27.48 | | | | | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | | | | | REF_CLOSE: (422), (23475), (23726) are inconsistent by
% 176.70/27.48 | | | | | | | | | | | | | | | sub-proof #500.
% 176.70/27.48 | | | | | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | | | | Case 2:
% 176.70/27.48 | | | | | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | | | | | (23727) all_63_15 = e1 | all_63_15 = e0
% 176.70/27.48 | | | | | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | | | | | BETA: splitting (23727) gives:
% 176.70/27.48 | | | | | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | | | | | Case 1:
% 176.70/27.48 | | | | | | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | | | | | | (23728) all_63_15 = e1
% 176.70/27.48 | | | | | | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | | | | | | REF_CLOSE: (422), (23723), (23728) are inconsistent by
% 176.70/27.48 | | | | | | | | | | | | | | | | sub-proof #499.
% 176.70/27.48 | | | | | | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | | | | | Case 2:
% 176.70/27.48 | | | | | | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | | | | | | (23729) all_63_15 = e0
% 176.70/27.48 | | | | | | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | | | | | | COMBINE_EQS: (422), (23729) imply:
% 176.70/27.48 | | | | | | | | | | | | | | | | (23730) all_20_2 = e0
% 176.70/27.48 | | | | | | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | | | | | | SIMP: (23730) implies:
% 176.70/27.48 | | | | | | | | | | | | | | | | (23731) all_20_2 = e0
% 176.70/27.48 | | | | | | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | | | | | | REDUCE: (627), (23731) imply:
% 176.70/27.48 | | | | | | | | | | | | | | | | (23732) ~ (all_61_14 = e0)
% 176.70/27.48 | | | | | | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | | | | | | REDUCE: (23693), (23731) imply:
% 176.70/27.48 | | | | | | | | | | | | | | | | (23733) op(all_22_1, e2) = e0
% 176.70/27.48 | | | | | | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | | | | | | REDUCE: (23718), (23731) imply:
% 176.70/27.48 | | | | | | | | | | | | | | | | (23734) op(e2, e0) = all_65_75
% 176.70/27.48 | | | | | | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | | | | | | REDUCE: (23719), (23731) imply:
% 176.70/27.48 | | | | | | | | | | | | | | | | (23735) op(e1, e0) = all_65_77
% 176.70/27.48 | | | | | | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | | | | | | REDUCE: (764), (23731) imply:
% 176.70/27.48 | | | | | | | | | | | | | | | | (23736) op(e0, e0) = all_65_78
% 176.70/27.48 | | | | | | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | | | | | | REDUCE: (76), (23731) imply:
% 176.70/27.48 | | | | | | | | | | | | | | | | (23737) op(e0, e0) = e0
% 176.70/27.48 | | | | | | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e0, all_65_78, e0, e0,
% 176.70/27.48 | | | | | | | | | | | | | | | | simplifying with (23736), (23737) gives:
% 176.70/27.48 | | | | | | | | | | | | | | | | (23738) all_65_78 = e0
% 176.70/27.48 | | | | | | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_14, all_65_77, e0,
% 176.70/27.48 | | | | | | | | | | | | | | | | e1, simplifying with (227), (23735) gives:
% 176.70/27.48 | | | | | | | | | | | | | | | | (23739) all_65_77 = all_61_14
% 176.70/27.48 | | | | | | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_22_1, all_65_75, e0,
% 176.70/27.48 | | | | | | | | | | | | | | | | e2, simplifying with (23642), (23734) gives:
% 176.70/27.48 | | | | | | | | | | | | | | | | (23740) all_65_75 = all_22_1
% 176.70/27.48 | | | | | | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | | | | | | REDUCE: (23716), (23739) imply:
% 176.70/27.48 | | | | | | | | | | | | | | | | (23741) op(all_61_14, e0) = all_61_14
% 176.70/27.48 | | | | | | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | | | | | | BETA: splitting (157) gives:
% 176.70/27.48 | | | | | | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | | | | | | Case 1:
% 176.70/27.48 | | | | | | | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | | | | | | | (23742) ~ (all_58_3 = e1)
% 176.70/27.48 | | | | | | | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | | | | | | | REDUCE: (475), (23742) imply:
% 176.70/27.48 | | | | | | | | | | | | | | | | | (23743) ~ (all_52_3 = e1)
% 176.70/27.48 | | | | | | | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | | | | | | | BETA: splitting (161) gives:
% 176.70/27.48 | | | | | | | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | | | | | | | Case 1:
% 176.70/27.48 | | | | | | | | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | | | | | | | | (23744) ~ (all_58_2 = e2)
% 176.70/27.48 | | | | | | | | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | | | | | | | | REDUCE: (478), (23744) imply:
% 176.70/27.48 | | | | | | | | | | | | | | | | | | (23745) ~ (all_52_2 = e2)
% 176.70/27.48 | | | | | | | | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | | | | | | | | BETA: splitting (163) gives:
% 176.70/27.48 | | | | | | | | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | | | | | | | | Case 1:
% 176.70/27.48 | | | | | | | | | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | | | | | | | | | (23746) ~ (all_58_1 = e0)
% 176.70/27.48 | | | | | | | | | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | | | | | | | | | REDUCE: (481), (23746) imply:
% 176.70/27.48 | | | | | | | | | | | | | | | | | | | (23747) ~ (all_52_1 = e0)
% 176.70/27.48 | | | | | | | | | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (50), (148), (149), (158), (159), (227),
% 176.70/27.48 | | | | | | | | | | | | | | | | | | | (265), (475), (481), (484), (497), (538), (539),
% 176.70/27.48 | | | | | | | | | | | | | | | | | | | (629), (633), (748), (765), (21456), (21466),
% 176.70/27.48 | | | | | | | | | | | | | | | | | | | (21765), (23452), (23642), (23645), (23685),
% 176.70/27.48 | | | | | | | | | | | | | | | | | | | (23737), (23743), (23745), (23747) are
% 176.70/27.48 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #32.
% 176.70/27.48 | | | | | | | | | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | | | | | | | | Case 2:
% 176.70/27.48 | | | | | | | | | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | | | | | | | | | (23748) all_58_3 = e2
% 176.70/27.48 | | | | | | | | | | | | | | | | | | | (23749) all_58_1 = e0
% 176.70/27.48 | | | | | | | | | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (50), (475), (481), (632), (731), (23642),
% 176.70/27.48 | | | | | | | | | | | | | | | | | | | (23733), (23748), (23749) are inconsistent by
% 176.70/27.48 | | | | | | | | | | | | | | | | | | | sub-proof #351.
% 176.70/27.48 | | | | | | | | | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | | | | | | | | End of split
% 176.70/27.48 | | | | | | | | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | | | | | | | Case 2:
% 176.70/27.48 | | | | | | | | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | | | | | | | | (23750) all_58_1 = e1
% 176.70/27.48 | | | | | | | | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (481), (23750) imply:
% 176.70/27.48 | | | | | | | | | | | | | | | | | | (23751) all_52_1 = e1
% 176.70/27.48 | | | | | | | | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | | | | | | | | SIMP: (23751) implies:
% 176.70/27.48 | | | | | | | | | | | | | | | | | | (23752) all_52_1 = e1
% 176.70/27.48 | | | | | | | | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | | | | | | | | REDUCE: (731), (23752) imply:
% 176.70/27.48 | | | | | | | | | | | | | | | | | | (23753) op(e2, e1) = unit
% 176.70/27.48 | | | | | | | | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_9, unit, e1, e2,
% 176.70/27.48 | | | | | | | | | | | | | | | | | | simplifying with (232), (23753) gives:
% 176.70/27.48 | | | | | | | | | | | | | | | | | | (23754) all_61_9 = unit
% 176.70/27.48 | | | | | | | | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | | | | | | | | REDUCE: (23452), (23754) imply:
% 176.70/27.48 | | | | | | | | | | | | | | | | | | (23755) ~ (all_61_14 = unit)
% 176.70/27.48 | | | | | | | | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | | | | | | | | SIMP: (23755) implies:
% 176.70/27.48 | | | | | | | | | | | | | | | | | | (23756) ~ (all_61_14 = unit)
% 176.70/27.48 | | | | | | | | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | | | | | | | | REDUCE: (23444), (23754) imply:
% 176.70/27.48 | | | | | | | | | | | | | | | | | | (23757) ~ (all_14_1 = unit)
% 176.70/27.48 | | | | | | | | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | | | | | | | | SIMP: (23757) implies:
% 176.70/27.48 | | | | | | | | | | | | | | | | | | (23758) ~ (all_14_1 = unit)
% 176.70/27.48 | | | | | | | | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | | | | | | | | REDUCE: (23645), (23754) imply:
% 176.70/27.48 | | | | | | | | | | | | | | | | | | (23759) ~ (unit = e0)
% 176.70/27.48 | | | | | | | | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | | | | | | | | REDUCE: (23695), (23754) imply:
% 176.70/27.48 | | | | | | | | | | | | | | | | | | (23760) op(unit, e2) = all_61_14
% 176.70/27.48 | | | | | | | | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | | | | | | | | REDUCE: (23459), (23754) imply:
% 176.70/27.48 | | | | | | | | | | | | | | | | | | (23761) op(unit, e1) = all_14_1
% 176.70/27.48 | | | | | | | | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e1, all_14_1, e1, unit,
% 176.70/27.48 | | | | | | | | | | | | | | | | | | simplifying with (8), (23761) gives:
% 176.70/27.48 | | | | | | | | | | | | | | | | | | (23762) all_14_1 = e1
% 176.70/27.48 | | | | | | | | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e2, all_61_14, e2, unit,
% 176.70/27.48 | | | | | | | | | | | | | | | | | | simplifying with (9), (23760) gives:
% 176.70/27.48 | | | | | | | | | | | | | | | | | | (23763) all_61_14 = e2
% 176.70/27.48 | | | | | | | | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | | | | | | | | REDUCE: (23756), (23763) imply:
% 176.70/27.48 | | | | | | | | | | | | | | | | | | (23764) ~ (unit = e2)
% 176.70/27.48 | | | | | | | | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | | | | | | | | SIMP: (23764) implies:
% 176.70/27.48 | | | | | | | | | | | | | | | | | | (23765) ~ (unit = e2)
% 176.70/27.48 | | | | | | | | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | | | | | | | | REDUCE: (23758), (23762) imply:
% 176.70/27.48 | | | | | | | | | | | | | | | | | | (23766) ~ (unit = e1)
% 176.70/27.48 | | | | | | | | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | | | | | | | | SIMP: (23766) implies:
% 176.70/27.48 | | | | | | | | | | | | | | | | | | (23767) ~ (unit = e1)
% 176.70/27.48 | | | | | | | | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | | | | | | | | REF_CLOSE: (21766), (23759), (23765), (23767) are
% 176.70/27.48 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #398.
% 176.70/27.48 | | | | | | | | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | | | | | | | End of split
% 176.70/27.48 | | | | | | | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | | | | | | Case 2:
% 176.70/27.48 | | | | | | | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | | | | | | | (23768) all_58_3 = e1
% 176.70/27.48 | | | | | | | | | | | | | | | | | (23769) all_58_2 = e0
% 176.70/27.48 | | | | | | | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | | | | | | | COMBINE_EQS: (478), (23769) imply:
% 176.70/27.48 | | | | | | | | | | | | | | | | | (23770) all_52_2 = e0
% 176.70/27.48 | | | | | | | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | | | | | | | SIMP: (23770) implies:
% 176.70/27.48 | | | | | | | | | | | | | | | | | (23771) all_52_2 = e0
% 176.70/27.48 | | | | | | | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (50), (224), (227), (475), (693), (748),
% 176.70/27.48 | | | | | | | | | | | | | | | | | (765), (23732), (23741), (23768), (23771) are
% 176.70/27.48 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #48.
% 176.70/27.48 | | | | | | | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | | | | | | End of split
% 176.70/27.48 | | | | | | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | | | | | End of split
% 176.70/27.48 | | | | | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | | | | End of split
% 176.70/27.48 | | | | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | | | End of split
% 176.70/27.48 | | | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | | Case 2:
% 176.70/27.48 | | | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | | | (23772) all_42_2 = e1
% 176.70/27.48 | | | | | | | | | | | | | (23773) op(e0, e1) = all_42_1 & $i(all_42_1) & ( ~
% 176.70/27.48 | | | | | | | | | | | | | (all_42_1 = e3) | ( ~ (all_42_0 = e2) & op(e3,
% 176.70/27.48 | | | | | | | | | | | | | e0) = all_42_0 & $i(all_42_0)))
% 176.70/27.48 | | | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | | | ALPHA: (23773) implies:
% 176.70/27.48 | | | | | | | | | | | | | (23774) op(e0, e1) = all_42_1
% 176.70/27.48 | | | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | | | COMBINE_EQS: (532), (23772) imply:
% 176.70/27.48 | | | | | | | | | | | | | (23775) all_20_2 = e1
% 176.70/27.48 | | | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | | | COMBINE_EQS: (582), (23775) imply:
% 176.70/27.48 | | | | | | | | | | | | | (23776) all_50_2 = e1
% 176.70/27.48 | | | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | | | REDUCE: (625), (23775) imply:
% 176.70/27.48 | | | | | | | | | | | | | (23777) ~ (all_61_12 = e1)
% 176.70/27.48 | | | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | | | REDUCE: (23689), (23775) imply:
% 176.70/27.48 | | | | | | | | | | | | | (23778) ~ (all_22_1 = e1)
% 176.70/27.48 | | | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | | | REDUCE: (697), (23775) imply:
% 176.70/27.48 | | | | | | | | | | | | | (23779) op(e1, e0) = all_65_78
% 176.70/27.48 | | | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | | | REDUCE: (23719), (23775) imply:
% 176.70/27.48 | | | | | | | | | | | | | (23780) op(e1, e1) = all_65_77
% 176.70/27.48 | | | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | | | REDUCE: (764), (23775) imply:
% 176.70/27.48 | | | | | | | | | | | | | (23781) op(e0, e1) = all_65_78
% 176.70/27.48 | | | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | | | REDUCE: (76), (23775) imply:
% 176.70/27.48 | | | | | | | | | | | | | (23782) op(e0, e0) = e1
% 176.70/27.48 | | | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | | | BETA: splitting (122) gives:
% 176.70/27.48 | | | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | | | Case 1:
% 176.70/27.48 | | | | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | | | | (23783) ~ (all_50_2 = e1)
% 176.70/27.48 | | | | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | | | | REDUCE: (23776), (23783) imply:
% 176.70/27.48 | | | | | | | | | | | | | | (23784) $false
% 176.70/27.48 | | | | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | | | | CLOSE: (23784) is inconsistent.
% 176.70/27.48 | | | | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | | | Case 2:
% 176.70/27.48 | | | | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | | | | (23785) op(e0, e1) = all_50_1 & $i(all_50_1) & ( ~
% 176.70/27.48 | | | | | | | | | | | | | | (all_50_1 = e2) | ( ~ (all_50_0 = e3) & op(e2,
% 176.70/27.48 | | | | | | | | | | | | | | e0) = all_50_0 & $i(all_50_0)))
% 176.70/27.48 | | | | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | | | | ALPHA: (23785) implies:
% 176.70/27.48 | | | | | | | | | | | | | | (23786) op(e0, e1) = all_50_1
% 176.70/27.48 | | | | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_50_1, all_65_78, e1,
% 176.70/27.48 | | | | | | | | | | | | | | e0, simplifying with (23781), (23786) gives:
% 176.70/27.48 | | | | | | | | | | | | | | (23787) all_65_78 = all_50_1
% 176.70/27.48 | | | | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_42_1, all_65_78, e1,
% 176.70/27.48 | | | | | | | | | | | | | | e0, simplifying with (23774), (23781) gives:
% 176.70/27.48 | | | | | | | | | | | | | | (23788) all_65_78 = all_42_1
% 176.70/27.48 | | | | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_14, all_65_78, e0,
% 176.70/27.48 | | | | | | | | | | | | | | e1, simplifying with (227), (23779) gives:
% 176.70/27.48 | | | | | | | | | | | | | | (23789) all_65_78 = all_61_14
% 176.70/27.48 | | | | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e3, all_65_77, e1, e1,
% 176.70/27.48 | | | | | | | | | | | | | | simplifying with (21466), (23780) gives:
% 176.70/27.48 | | | | | | | | | | | | | | (23790) all_65_77 = e3
% 176.70/27.48 | | | | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | | | | COMBINE_EQS: (23788), (23789) imply:
% 176.70/27.48 | | | | | | | | | | | | | | (23791) all_61_14 = all_42_1
% 176.70/27.48 | | | | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | | | | COMBINE_EQS: (23787), (23789) imply:
% 176.70/27.48 | | | | | | | | | | | | | | (23792) all_61_14 = all_50_1
% 176.70/27.48 | | | | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | | | | COMBINE_EQS: (23791), (23792) imply:
% 176.70/27.48 | | | | | | | | | | | | | | (23793) all_50_1 = all_42_1
% 176.70/27.48 | | | | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | | | | COMBINE_EQS: (505), (23791) imply:
% 176.70/27.48 | | | | | | | | | | | | | | (23794) all_63_11 = all_42_1
% 176.70/27.48 | | | | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | | | | REDUCE: (23452), (23791) imply:
% 176.70/27.48 | | | | | | | | | | | | | | (23795) ~ (all_61_9 = all_42_1)
% 176.70/27.48 | | | | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | | | | REDUCE: (23688), (23791) imply:
% 176.70/27.48 | | | | | | | | | | | | | | (23796) ~ (all_42_1 = all_22_1)
% 176.70/27.48 | | | | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | | | | REDUCE: (21498), (23791) imply:
% 176.70/27.48 | | | | | | | | | | | | | | (23797) ~ (all_42_1 = all_4_1)
% 176.70/27.48 | | | | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | | | | REDUCE: (21458), (23791) imply:
% 176.70/27.48 | | | | | | | | | | | | | | (23798) ~ (all_42_1 = e3)
% 176.70/27.48 | | | | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | | | | REDUCE: (23716), (23790), (23791) imply:
% 176.70/27.48 | | | | | | | | | | | | | | (23799) op(all_42_1, e0) = e3
% 176.70/27.48 | | | | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | | | | REDUCE: (227), (23791) imply:
% 176.70/27.48 | | | | | | | | | | | | | | (23800) op(e1, e0) = all_42_1
% 176.70/27.48 | | | | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | | | | BETA: splitting (157) gives:
% 176.70/27.48 | | | | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | | | | Case 1:
% 176.70/27.48 | | | | | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | | | | | (23801) ~ (all_58_3 = e1)
% 176.70/27.48 | | | | | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | | | | | REDUCE: (475), (23801) imply:
% 176.70/27.48 | | | | | | | | | | | | | | | (23802) ~ (all_52_3 = e1)
% 176.70/27.48 | | | | | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | | | | | BETA: splitting (159) gives:
% 176.70/27.48 | | | | | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | | | | | Case 1:
% 176.70/27.48 | | | | | | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | | | | | | (23803) ~ (all_58_3 = e3)
% 176.70/27.48 | | | | | | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | | | | | | REDUCE: (475), (23803) imply:
% 176.70/27.48 | | | | | | | | | | | | | | | | (23804) ~ (all_52_3 = e3)
% 176.70/27.48 | | | | | | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | | | | | | BETA: splitting (158) gives:
% 176.70/27.48 | | | | | | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | | | | | | Case 1:
% 176.70/27.48 | | | | | | | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | | | | | | | (23805) ~ (all_58_3 = e2)
% 176.70/27.48 | | | | | | | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | | | | | | | REDUCE: (475), (23805) imply:
% 176.70/27.48 | | | | | | | | | | | | | | | | | (23806) ~ (all_52_3 = e2)
% 176.70/27.48 | | | | | | | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (50), (148), (539), (765), (21466), (21765),
% 176.70/27.48 | | | | | | | | | | | | | | | | | (23782), (23802), (23804), (23806) are
% 176.70/27.48 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #18.
% 176.70/27.48 | | | | | | | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | | | | | | Case 2:
% 176.70/27.48 | | | | | | | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | | | | | | | (23807) all_58_1 = e0
% 176.70/27.48 | | | | | | | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | | | | | | | COMBINE_EQS: (481), (23807) imply:
% 176.70/27.48 | | | | | | | | | | | | | | | | | (23808) all_52_1 = e0
% 176.70/27.48 | | | | | | | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | | | | | | | SIMP: (23808) implies:
% 176.70/27.48 | | | | | | | | | | | | | | | | | (23809) all_52_1 = e0
% 176.70/27.48 | | | | | | | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | | | | | | | REDUCE: (731), (23809) imply:
% 176.70/27.48 | | | | | | | | | | | | | | | | | (23810) op(e2, e0) = unit
% 176.70/27.48 | | | | | | | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_22_1, unit, e0, e2,
% 176.70/27.48 | | | | | | | | | | | | | | | | | simplifying with (23642), (23810) gives:
% 176.70/27.48 | | | | | | | | | | | | | | | | | (23811) all_22_1 = unit
% 176.70/27.48 | | | | | | | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | | | | | | | COMBINE_EQS: (23684), (23811) imply:
% 176.70/27.48 | | | | | | | | | | | | | | | | | (23812) all_63_7 = unit
% 176.70/27.48 | | | | | | | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | | | | | | | REDUCE: (23685), (23811) imply:
% 176.70/27.48 | | | | | | | | | | | | | | | | | (23813) ~ (all_61_9 = unit)
% 176.70/27.48 | | | | | | | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | | | | | | | REDUCE: (23796), (23811) imply:
% 176.70/27.48 | | | | | | | | | | | | | | | | | (23814) ~ (all_42_1 = unit)
% 176.70/27.48 | | | | | | | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | | | | | | | REDUCE: (23778), (23811) imply:
% 176.70/27.48 | | | | | | | | | | | | | | | | | (23815) ~ (unit = e1)
% 176.70/27.48 | | | | | | | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | | | | | | | REDUCE: (23691), (23811) imply:
% 176.70/27.48 | | | | | | | | | | | | | | | | | (23816) ~ (unit = e0)
% 176.70/27.48 | | | | | | | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | | | | | | | BETA: splitting (264) gives:
% 176.70/27.48 | | | | | | | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | | | | | | | Case 1:
% 176.70/27.48 | | | | | | | | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | | | | | | | | (23817) all_63_7 = e3
% 176.70/27.48 | | | | | | | | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (23812), (23817) imply:
% 176.70/27.48 | | | | | | | | | | | | | | | | | | (23818) unit = e3
% 176.70/27.48 | | | | | | | | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | | | | | | | | REDUCE: (21765), (23818) imply:
% 176.70/27.48 | | | | | | | | | | | | | | | | | | (23819) $false
% 176.70/27.48 | | | | | | | | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | | | | | | | | CLOSE: (23819) is inconsistent.
% 176.70/27.48 | | | | | | | | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | | | | | | | Case 2:
% 176.70/27.48 | | | | | | | | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | | | | | | | | (23820) all_63_7 = e2 | all_63_7 = e1 | all_63_7 = e0
% 176.70/27.48 | | | | | | | | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | | | | | | | | BETA: splitting (23820) gives:
% 176.70/27.48 | | | | | | | | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | | | | | | | | Case 1:
% 176.70/27.48 | | | | | | | | | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | | | | | | | | | (23821) all_63_7 = e2
% 176.70/27.48 | | | | | | | | | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (23812), (23821) imply:
% 176.70/27.48 | | | | | | | | | | | | | | | | | | | (23822) unit = e2
% 176.70/27.48 | | | | | | | | | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | | | | | | | | | REDUCE: (23813), (23822) imply:
% 176.70/27.48 | | | | | | | | | | | | | | | | | | | (23823) ~ (all_61_9 = e2)
% 176.70/27.48 | | | | | | | | | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | | | | | | | | | REDUCE: (23814), (23822) imply:
% 176.70/27.48 | | | | | | | | | | | | | | | | | | | (23824) ~ (all_42_1 = e2)
% 176.70/27.48 | | | | | | | | | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | | | | | | | | | BETA: splitting (260) gives:
% 176.70/27.48 | | | | | | | | | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | | | | | | | | | Case 1:
% 176.70/27.48 | | | | | | | | | | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | | | | | | | | | | (23825) all_63_11 = e3
% 176.70/27.48 | | | | | | | | | | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (23794), (23825) imply:
% 176.70/27.48 | | | | | | | | | | | | | | | | | | | | (23826) all_42_1 = e3
% 176.70/27.48 | | | | | | | | | | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | | | | | | | | | | REDUCE: (23798), (23826) imply:
% 176.70/27.48 | | | | | | | | | | | | | | | | | | | | (23827) $false
% 176.70/27.48 | | | | | | | | | | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | | | | | | | | | | CLOSE: (23827) is inconsistent.
% 176.70/27.48 | | | | | | | | | | | | | | | | | | | |
% 176.70/27.48 | | | | | | | | | | | | | | | | | | | Case 2:
% 176.70/27.48 | | | | | | | | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | | (23828) all_63_11 = e2 | all_63_11 = e1 | all_63_11 = e0
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | | BETA: splitting (262) gives:
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | | | (23829) all_63_9 = e3
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (23437), (23829) imply:
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | | | (23830) all_61_9 = e3
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | | | REDUCE: (21456), (23830) imply:
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | | | (23831) $false
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | | | CLOSE: (23831) is inconsistent.
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | | | (23832) all_63_9 = e2 | all_63_9 = e1 | all_63_9 = e0
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (23832) gives:
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | | | | (23833) all_63_9 = e2
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (23437), (23833) imply:
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | | | | (23834) all_61_9 = e2
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (23823), (23834) imply:
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | | | | (23835) $false
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (23835) is inconsistent.
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | | | | (23836) all_63_9 = e1 | all_63_9 = e0
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (23836) gives:
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | | | | | (23837) all_63_9 = e1
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (23437), (23837) imply:
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | | | | | (23838) all_61_9 = e1
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (23795), (23838) imply:
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | | | | | (23839) ~ (all_42_1 = e1)
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (23839) implies:
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | | | | | (23840) ~ (all_42_1 = e1)
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (21501), (23838) imply:
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | | | | | (23841) ~ (all_4_1 = e1)
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (23841) implies:
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | | | | | (23842) ~ (all_4_1 = e1)
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (263) gives:
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | | | | | | (23843) all_63_8 = e3
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (21490), (23843) imply:
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | | | | | | (23844) all_4_1 = e3
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (21508), (23844) imply:
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | | | | | | (23845) $false
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (23845) is inconsistent.
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | | | | | | (23846) all_63_8 = e2 | all_63_8 = e1 | all_63_8 = e0
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (23846) gives:
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | (23847) all_63_8 = e2
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (21490), (23847) imply:
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | (23848) all_4_1 = e2
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (23403), (23848) imply:
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | (23849) $false
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (23849) is inconsistent.
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | (23850) all_63_8 = e1 | all_63_8 = e0
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (23850) gives:
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | (23851) all_63_8 = e1
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (21490), (23851) imply:
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | (23852) all_4_1 = e1
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (23842), (23852) imply:
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | (23853) $false
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (23853) is inconsistent.
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | (23854) all_63_8 = e0
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (21490), (23854) imply:
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | (23855) all_4_1 = e0
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (23797), (23855) imply:
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | (23856) ~ (all_42_1 = e0)
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (23794), (23824), (23828), (23840), (23856) are
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #450.
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | | | | | (23857) all_63_9 = e0
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (23437), (23857) imply:
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | | | | | (23858) all_61_9 = e0
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (23645), (23858) imply:
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | | | | | (23859) $false
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (23859) is inconsistent.
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | | | End of split
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | | End of split
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | End of split
% 176.70/27.49 | | | | | | | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | | | | | | Case 2:
% 176.70/27.49 | | | | | | | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | (23860) ~ (all_63_7 = e2)
% 176.70/27.49 | | | | | | | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | REDUCE: (23812), (23860) imply:
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | (23861) ~ (unit = e2)
% 176.70/27.49 | | | | | | | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (21766), (23815), (23816), (23861) are
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #398.
% 176.70/27.49 | | | | | | | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | | | | | | End of split
% 176.70/27.49 | | | | | | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | | | | | End of split
% 176.70/27.49 | | | | | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | | | | End of split
% 176.70/27.49 | | | | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | | | Case 2:
% 176.70/27.49 | | | | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | | | | (23862) all_58_0 = e0
% 176.70/27.49 | | | | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | | | | COMBINE_EQS: (484), (23862) imply:
% 176.70/27.49 | | | | | | | | | | | | | | | | (23863) all_52_0 = e0
% 176.70/27.49 | | | | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | | | | SIMP: (23863) implies:
% 176.70/27.49 | | | | | | | | | | | | | | | | (23864) all_52_0 = e0
% 176.70/27.49 | | | | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | | | | REDUCE: (714), (23864) imply:
% 176.70/27.49 | | | | | | | | | | | | | | | | (23865) op(e3, e0) = unit
% 176.70/27.49 | | | | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_12, unit, e0, e3,
% 176.70/27.49 | | | | | | | | | | | | | | | | simplifying with (235), (23865) gives:
% 176.70/27.49 | | | | | | | | | | | | | | | | (23866) all_61_12 = unit
% 176.70/27.49 | | | | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | | | | COMBINE_EQS: (23683), (23866) imply:
% 176.70/27.49 | | | | | | | | | | | | | | | | (23867) all_63_12 = unit
% 176.70/27.49 | | | | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | | | | REDUCE: (23686), (23866) imply:
% 176.70/27.49 | | | | | | | | | | | | | | | | (23868) ~ (all_22_1 = unit)
% 176.70/27.49 | | | | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | | | | SIMP: (23868) implies:
% 176.70/27.49 | | | | | | | | | | | | | | | | (23869) ~ (all_22_1 = unit)
% 176.70/27.49 | | | | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | | | | REDUCE: (23448), (23866) imply:
% 176.70/27.49 | | | | | | | | | | | | | | | | (23870) ~ (all_14_1 = unit)
% 176.70/27.49 | | | | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | | | | SIMP: (23870) implies:
% 176.70/27.49 | | | | | | | | | | | | | | | | (23871) ~ (all_14_1 = unit)
% 176.70/27.49 | | | | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | | | | REDUCE: (21505), (23866) imply:
% 176.70/27.49 | | | | | | | | | | | | | | | | (23872) ~ (all_4_1 = unit)
% 176.70/27.49 | | | | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | | | | SIMP: (23872) implies:
% 176.70/27.49 | | | | | | | | | | | | | | | | (23873) ~ (all_4_1 = unit)
% 176.70/27.49 | | | | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | | | | REDUCE: (23401), (23866) imply:
% 176.70/27.49 | | | | | | | | | | | | | | | | (23874) ~ (unit = e2)
% 176.70/27.49 | | | | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | | | | REDUCE: (23777), (23866) imply:
% 176.70/27.49 | | | | | | | | | | | | | | | | (23875) ~ (unit = e1)
% 176.70/27.49 | | | | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | | | | BETA: splitting (259) gives:
% 176.70/27.49 | | | | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | | | | Case 1:
% 176.70/27.49 | | | | | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | | | | | (23876) all_63_12 = e3
% 176.70/27.49 | | | | | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | | | | | COMBINE_EQS: (23867), (23876) imply:
% 176.70/27.49 | | | | | | | | | | | | | | | | | (23877) unit = e3
% 176.70/27.49 | | | | | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | | | | | REDUCE: (21765), (23877) imply:
% 176.70/27.49 | | | | | | | | | | | | | | | | | (23878) $false
% 176.70/27.49 | | | | | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | | | | | CLOSE: (23878) is inconsistent.
% 176.70/27.49 | | | | | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | | | | Case 2:
% 176.70/27.49 | | | | | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | | | | | (23879) all_63_12 = e2 | all_63_12 = e1 | all_63_12 = e0
% 176.70/27.49 | | | | | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | | | | | BETA: splitting (23879) gives:
% 176.70/27.49 | | | | | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | | | | | Case 1:
% 176.70/27.49 | | | | | | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | | | | | | (23880) all_63_12 = e2
% 176.70/27.49 | | | | | | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (23867), (23880) imply:
% 176.70/27.49 | | | | | | | | | | | | | | | | | | (23881) unit = e2
% 176.70/27.49 | | | | | | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | | | | | | REDUCE: (23874), (23881) imply:
% 176.70/27.49 | | | | | | | | | | | | | | | | | | (23882) $false
% 176.70/27.49 | | | | | | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | | | | | | CLOSE: (23882) is inconsistent.
% 176.70/27.49 | | | | | | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | | | | | Case 2:
% 176.70/27.49 | | | | | | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | | | | | | (23883) all_63_12 = e1 | all_63_12 = e0
% 176.70/27.49 | | | | | | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | | | | | | BETA: splitting (23883) gives:
% 176.70/27.49 | | | | | | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | | | | | | Case 1:
% 176.70/27.49 | | | | | | | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | (23884) all_63_12 = e1
% 176.70/27.49 | | | | | | | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (23867), (23884) imply:
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | (23885) unit = e1
% 176.70/27.49 | | | | | | | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | REDUCE: (23875), (23885) imply:
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | (23886) $false
% 176.70/27.49 | | | | | | | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | CLOSE: (23886) is inconsistent.
% 176.70/27.49 | | | | | | | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | | | | | | Case 2:
% 176.70/27.49 | | | | | | | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | (23887) all_63_12 = e0
% 176.70/27.49 | | | | | | | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (23867), (23887) imply:
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | (23888) unit = e0
% 176.70/27.49 | | | | | | | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | REDUCE: (23871), (23888) imply:
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | (23889) ~ (all_14_1 = e0)
% 176.70/27.49 | | | | | | | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | REDUCE: (23873), (23888) imply:
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | (23890) ~ (all_4_1 = e0)
% 176.70/27.49 | | | | | | | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | BETA: splitting (263) gives:
% 176.70/27.49 | | | | | | | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | Case 1:
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | | (23891) all_63_8 = e3
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (21490), (23891) imply:
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | | (23892) all_4_1 = e3
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | | REDUCE: (21508), (23892) imply:
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | | (23893) $false
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | | CLOSE: (23893) is inconsistent.
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | Case 2:
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | | (23894) all_63_8 = e2 | all_63_8 = e1 | all_63_8 = e0
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | | BETA: splitting (23894) gives:
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | | | (23895) all_63_8 = e2
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (21490), (23895) imply:
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | | | (23896) all_4_1 = e2
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | | | REDUCE: (23403), (23896) imply:
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | | | (23897) $false
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | | | CLOSE: (23897) is inconsistent.
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | | | (23898) all_63_8 = e1 | all_63_8 = e0
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (23898) gives:
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | | | | (23899) all_63_8 = e1
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (21490), (23899) imply:
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | | | | (23900) all_4_1 = e1
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (21501), (23900) imply:
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | | | | (23901) ~ (all_61_9 = e1)
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (23450), (23900) imply:
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | | | | (23902) ~ (all_14_1 = e1)
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (258), (265), (267), (497), (23438), (23444),
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | | | | (23451), (23645), (23682), (23685), (23690),
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | | | | (23691), (23778), (23889), (23901), (23902) are
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #130.
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | | | | (23903) all_63_8 = e0
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (21490), (23903) imply:
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | | | | (23904) all_4_1 = e0
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (23890), (23904) imply:
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | | | | (23905) $false
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (23905) is inconsistent.
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | | | End of split
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | | End of split
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | | | | | | | End of split
% 176.70/27.49 | | | | | | | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | | | | | | End of split
% 176.70/27.49 | | | | | | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | | | | | End of split
% 176.70/27.49 | | | | | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | | | | End of split
% 176.70/27.49 | | | | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | | | End of split
% 176.70/27.49 | | | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | | Case 2:
% 176.70/27.49 | | | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | | | (23906) all_58_2 = e0
% 176.70/27.49 | | | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | | | REF_CLOSE: (7), (21), (50), (478), (748), (23799), (23800),
% 176.70/27.49 | | | | | | | | | | | | | | | (23906) are inconsistent by sub-proof #37.
% 176.70/27.49 | | | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | | End of split
% 176.70/27.49 | | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | End of split
% 176.70/27.49 | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | End of split
% 176.70/27.49 | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | Case 2:
% 176.70/27.49 | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | (23907) all_28_2 = e3
% 176.70/27.49 | | | | | | | | | | | | (23908) op(e0, e3) = all_28_1 & $i(all_28_1) & ( ~
% 176.70/27.49 | | | | | | | | | | | | (all_28_1 = e2) | ( ~ (all_28_0 = e1) & op(e2,
% 176.70/27.49 | | | | | | | | | | | | e0) = all_28_0 & $i(all_28_0)))
% 176.70/27.49 | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | ALPHA: (23908) implies:
% 176.70/27.49 | | | | | | | | | | | | (23909) op(e0, e3) = all_28_1
% 176.70/27.49 | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | COMBINE_EQS: (563), (23907) imply:
% 176.70/27.49 | | | | | | | | | | | | (23910) all_20_2 = e3
% 176.70/27.49 | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | REDUCE: (23689), (23910) imply:
% 176.70/27.49 | | | | | | | | | | | | (23911) ~ (all_22_1 = e3)
% 176.70/27.49 | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | REDUCE: (23693), (23910) imply:
% 176.70/27.49 | | | | | | | | | | | | (23912) op(all_22_1, e2) = e3
% 176.70/27.49 | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | REDUCE: (696), (23910) imply:
% 176.70/27.49 | | | | | | | | | | | | (23913) op(e3, e1) = all_65_77
% 176.70/27.49 | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | REDUCE: (697), (23910) imply:
% 176.70/27.49 | | | | | | | | | | | | (23914) op(e3, e0) = all_65_78
% 176.70/27.49 | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | REDUCE: (23717), (23910) imply:
% 176.70/27.49 | | | | | | | | | | | | (23915) op(e3, e3) = all_65_73
% 176.70/27.49 | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | REDUCE: (764), (23910) imply:
% 176.70/27.49 | | | | | | | | | | | | (23916) op(e0, e3) = all_65_78
% 176.70/27.49 | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | REDUCE: (76), (23910) imply:
% 176.70/27.49 | | | | | | | | | | | | (23917) op(e0, e0) = e3
% 176.70/27.49 | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_28_1, all_65_78, e3,
% 176.70/27.49 | | | | | | | | | | | | e0, simplifying with (23909), (23916) gives:
% 176.70/27.49 | | | | | | | | | | | | (23918) all_65_78 = all_28_1
% 176.70/27.49 | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_12, all_65_78, e0,
% 176.70/27.49 | | | | | | | | | | | | e3, simplifying with (235), (23914) gives:
% 176.70/27.49 | | | | | | | | | | | | (23919) all_65_78 = all_61_12
% 176.70/27.49 | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_4_1, all_65_77, e1,
% 176.70/27.49 | | | | | | | | | | | | e3, simplifying with (21521), (23913) gives:
% 176.70/27.49 | | | | | | | | | | | | (23920) all_65_77 = all_4_1
% 176.70/27.49 | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | GROUND_INST: instantiating (50) with e2, all_65_73, e3, e3,
% 176.70/27.49 | | | | | | | | | | | | simplifying with (23410), (23915) gives:
% 176.70/27.49 | | | | | | | | | | | | (23921) all_65_73 = e2
% 176.70/27.49 | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | COMBINE_EQS: (23918), (23919) imply:
% 176.70/27.49 | | | | | | | | | | | | (23922) all_61_12 = all_28_1
% 176.70/27.49 | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | SIMP: (23922) implies:
% 176.70/27.49 | | | | | | | | | | | | (23923) all_61_12 = all_28_1
% 176.70/27.49 | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | REDUCE: (179), (23923) imply:
% 176.70/27.49 | | | | | | | | | | | | (23924) ~ (all_61_14 = all_28_1)
% 176.70/27.49 | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | SIMP: (23924) implies:
% 176.70/27.49 | | | | | | | | | | | | (23925) ~ (all_61_14 = all_28_1)
% 176.70/27.49 | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | REDUCE: (23686), (23923) imply:
% 176.70/27.49 | | | | | | | | | | | | (23926) ~ (all_28_1 = all_22_1)
% 176.70/27.49 | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | REDUCE: (23715), (23921), (23923) imply:
% 176.70/27.49 | | | | | | | | | | | | (23927) op(all_28_1, e0) = e2
% 176.70/27.49 | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | REDUCE: (23696), (23923) imply:
% 176.70/27.49 | | | | | | | | | | | | (23928) op(all_61_14, e1) = all_28_1
% 176.70/27.49 | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | REDUCE: (23716), (23920) imply:
% 176.70/27.49 | | | | | | | | | | | | (23929) op(all_61_14, e0) = all_4_1
% 176.70/27.49 | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | REDUCE: (235), (23923) imply:
% 176.70/27.49 | | | | | | | | | | | | (23930) op(e3, e0) = all_28_1
% 176.70/27.49 | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | BETA: splitting (161) gives:
% 176.70/27.49 | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | Case 1:
% 176.70/27.49 | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | (23931) ~ (all_58_2 = e2)
% 176.70/27.49 | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | REDUCE: (478), (23931) imply:
% 176.70/27.49 | | | | | | | | | | | | | (23932) ~ (all_52_2 = e2)
% 176.70/27.49 | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | BETA: splitting (157) gives:
% 176.70/27.49 | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | Case 1:
% 176.70/27.49 | | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | | (23933) ~ (all_58_3 = e1)
% 176.70/27.49 | | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | | REDUCE: (475), (23933) imply:
% 176.70/27.49 | | | | | | | | | | | | | | (23934) ~ (all_52_3 = e1)
% 176.70/27.49 | | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | | BETA: splitting (165) gives:
% 176.70/27.49 | | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | | Case 1:
% 176.70/27.49 | | | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | | | (23935) ~ (all_58_1 = e3)
% 176.70/27.49 | | | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | | | REDUCE: (481), (23935) imply:
% 176.70/27.49 | | | | | | | | | | | | | | | (23936) ~ (all_52_1 = e3)
% 176.70/27.49 | | | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | | | BETA: splitting (168) gives:
% 176.70/27.49 | | | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | | | Case 1:
% 176.70/27.49 | | | | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | | | | (23937) ~ (all_58_0 = e2)
% 176.70/27.49 | | | | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | | | | REDUCE: (484), (23937) imply:
% 176.70/27.49 | | | | | | | | | | | | | | | | (23938) ~ (all_52_0 = e2)
% 176.70/27.49 | | | | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | | | | BETA: splitting (159) gives:
% 176.70/27.49 | | | | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | | | | Case 1:
% 176.70/27.49 | | | | | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | | | | | (23939) ~ (all_58_3 = e3)
% 176.70/27.49 | | | | | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | | | | | REDUCE: (475), (23939) imply:
% 176.70/27.49 | | | | | | | | | | | | | | | | | (23940) ~ (all_52_3 = e3)
% 176.70/27.49 | | | | | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (9), (50), (148), (150), (163), (164), (165),
% 176.70/27.49 | | | | | | | | | | | | | | | | | (475), (478), (481), (484), (536), (539), (630),
% 176.70/27.49 | | | | | | | | | | | | | | | | | (632), (731), (765), (21765), (23642), (23654),
% 176.70/27.49 | | | | | | | | | | | | | | | | | (23912), (23917), (23932), (23934), (23940) are
% 176.70/27.49 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #347.
% 176.70/27.49 | | | | | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | | | | Case 2:
% 176.70/27.49 | | | | | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | | | | | (23941) all_58_0 = e0
% 176.70/27.49 | | | | | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | | | | | COMBINE_EQS: (484), (23941) imply:
% 176.70/27.49 | | | | | | | | | | | | | | | | | (23942) all_52_0 = e0
% 176.70/27.49 | | | | | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | | | | | SIMP: (23942) implies:
% 176.70/27.49 | | | | | | | | | | | | | | | | | (23943) all_52_0 = e0
% 176.70/27.49 | | | | | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | | | | | REDUCE: (23938), (23943) imply:
% 176.70/27.49 | | | | | | | | | | | | | | | | | (23944) ~ (e2 = e0)
% 176.70/27.49 | | | | | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | | | | | REDUCE: (714), (23943) imply:
% 176.70/27.49 | | | | | | | | | | | | | | | | | (23945) op(e3, e0) = unit
% 176.70/27.49 | | | | | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (19), (50), (23927), (23930), (23945) are
% 176.70/27.49 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #17.
% 176.70/27.49 | | | | | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | | | | End of split
% 176.70/27.49 | | | | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | | | Case 2:
% 176.70/27.49 | | | | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | | | | (23946) all_58_1 = e3
% 176.70/27.49 | | | | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | | | | REF_CLOSE: (481), (23936), (23946) are inconsistent by
% 176.70/27.49 | | | | | | | | | | | | | | | | sub-proof #511.
% 176.70/27.49 | | | | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | | | End of split
% 176.70/27.49 | | | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | | Case 2:
% 176.70/27.49 | | | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | | | (23947) all_58_1 = e3
% 176.70/27.49 | | | | | | | | | | | | | | | (23948) all_58_0 = e2
% 176.70/27.49 | | | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | | | COMBINE_EQS: (484), (23948) imply:
% 176.70/27.49 | | | | | | | | | | | | | | | (23949) all_52_0 = e2
% 176.70/27.49 | | | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | | | SIMP: (23949) implies:
% 176.70/27.49 | | | | | | | | | | | | | | | (23950) all_52_0 = e2
% 176.70/27.49 | | | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | | | COMBINE_EQS: (481), (23947) imply:
% 176.70/27.49 | | | | | | | | | | | | | | | (23951) all_52_1 = e3
% 176.70/27.49 | | | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | | | SIMP: (23951) implies:
% 176.70/27.49 | | | | | | | | | | | | | | | (23952) all_52_1 = e3
% 176.70/27.49 | | | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | | | REDUCE: (629), (23950) imply:
% 176.70/27.49 | | | | | | | | | | | | | | | (23953) ~ (all_52_2 = e2)
% 176.70/27.49 | | | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | | | REDUCE: (632), (23952) imply:
% 176.70/27.49 | | | | | | | | | | | | | | | (23954) ~ (all_52_3 = e3)
% 176.70/27.49 | | | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | | | SIMP: (23954) implies:
% 176.70/27.49 | | | | | | | | | | | | | | | (23955) ~ (all_52_3 = e3)
% 176.70/27.49 | | | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | | | REF_CLOSE: (3), (9), (50), (148), (150), (163), (164), (165),
% 176.70/27.49 | | | | | | | | | | | | | | | (475), (478), (481), (484), (536), (539), (630),
% 176.70/27.49 | | | | | | | | | | | | | | | (632), (731), (765), (21765), (23642), (23654),
% 176.70/27.49 | | | | | | | | | | | | | | | (23912), (23917), (23932), (23934), (23955) are
% 176.70/27.49 | | | | | | | | | | | | | | | inconsistent by sub-proof #347.
% 176.70/27.49 | | | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | | End of split
% 176.70/27.49 | | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | Case 2:
% 176.70/27.49 | | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | | (23956) all_58_2 = e0
% 176.70/27.49 | | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | | COMBINE_EQS: (478), (23956) imply:
% 176.70/27.49 | | | | | | | | | | | | | | (23957) all_52_2 = e0
% 176.70/27.49 | | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | | SIMP: (23957) implies:
% 176.70/27.49 | | | | | | | | | | | | | | (23958) all_52_2 = e0
% 176.70/27.49 | | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | | REDUCE: (748), (23958) imply:
% 176.70/27.49 | | | | | | | | | | | | | | (23959) op(e1, e0) = unit
% 176.70/27.49 | | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_14, unit, e0, e1,
% 176.70/27.49 | | | | | | | | | | | | | | simplifying with (227), (23959) gives:
% 176.70/27.49 | | | | | | | | | | | | | | (23960) all_61_14 = unit
% 176.70/27.49 | | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | | REDUCE: (23925), (23960) imply:
% 176.70/27.49 | | | | | | | | | | | | | | (23961) ~ (all_28_1 = unit)
% 176.70/27.49 | | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | | SIMP: (23961) implies:
% 176.70/27.49 | | | | | | | | | | | | | | (23962) ~ (all_28_1 = unit)
% 176.70/27.49 | | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | | REDUCE: (23688), (23960) imply:
% 176.70/27.49 | | | | | | | | | | | | | | (23963) ~ (all_22_1 = unit)
% 176.70/27.49 | | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | | SIMP: (23963) implies:
% 176.70/27.49 | | | | | | | | | | | | | | (23964) ~ (all_22_1 = unit)
% 176.70/27.49 | | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | | REDUCE: (21498), (23960) imply:
% 176.70/27.49 | | | | | | | | | | | | | | (23965) ~ (all_4_1 = unit)
% 176.70/27.49 | | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | | SIMP: (23965) implies:
% 176.70/27.49 | | | | | | | | | | | | | | (23966) ~ (all_4_1 = unit)
% 176.70/27.49 | | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | | REDUCE: (23928), (23960) imply:
% 176.70/27.49 | | | | | | | | | | | | | | (23967) op(unit, e1) = all_28_1
% 176.70/27.49 | | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | | REDUCE: (23929), (23960) imply:
% 176.70/27.49 | | | | | | | | | | | | | | (23968) op(unit, e0) = all_4_1
% 176.70/27.49 | | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e0, all_4_1, e0, unit,
% 176.70/27.49 | | | | | | | | | | | | | | simplifying with (7), (23968) gives:
% 176.70/27.49 | | | | | | | | | | | | | | (23969) all_4_1 = e0
% 176.70/27.49 | | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e1, all_28_1, e1, unit,
% 176.70/27.49 | | | | | | | | | | | | | | simplifying with (8), (23967) gives:
% 176.70/27.49 | | | | | | | | | | | | | | (23970) all_28_1 = e1
% 176.70/27.49 | | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | | REDUCE: (23926), (23970) imply:
% 176.70/27.49 | | | | | | | | | | | | | | (23971) ~ (all_22_1 = e1)
% 176.70/27.49 | | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | | SIMP: (23971) implies:
% 176.70/27.49 | | | | | | | | | | | | | | (23972) ~ (all_22_1 = e1)
% 176.70/27.49 | | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | | REDUCE: (23962), (23970) imply:
% 176.70/27.49 | | | | | | | | | | | | | | (23973) ~ (unit = e1)
% 176.70/27.49 | | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | | SIMP: (23973) implies:
% 176.70/27.49 | | | | | | | | | | | | | | (23974) ~ (unit = e1)
% 176.70/27.49 | | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | | REDUCE: (23966), (23969) imply:
% 176.70/27.49 | | | | | | | | | | | | | | (23975) ~ (unit = e0)
% 176.70/27.49 | | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | | SIMP: (23975) implies:
% 176.70/27.49 | | | | | | | | | | | | | | (23976) ~ (unit = e0)
% 176.70/27.49 | | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | | REF_CLOSE: (258), (264), (21766), (23682), (23684), (23691),
% 176.70/27.49 | | | | | | | | | | | | | | (23911), (23964), (23972), (23974), (23976) are
% 176.70/27.49 | | | | | | | | | | | | | | inconsistent by sub-proof #16.
% 176.70/27.49 | | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | End of split
% 176.70/27.49 | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | Case 2:
% 176.70/27.49 | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | (23977) all_58_1 = e1
% 176.70/27.49 | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | COMBINE_EQS: (481), (23977) imply:
% 176.70/27.49 | | | | | | | | | | | | | (23978) all_52_1 = e1
% 176.70/27.49 | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | SIMP: (23978) implies:
% 176.70/27.49 | | | | | | | | | | | | | (23979) all_52_1 = e1
% 176.70/27.49 | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | REDUCE: (731), (23979) imply:
% 176.70/27.49 | | | | | | | | | | | | | (23980) op(e2, e1) = unit
% 176.70/27.49 | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_9, unit, e1, e2,
% 176.70/27.49 | | | | | | | | | | | | | simplifying with (232), (23980) gives:
% 176.70/27.49 | | | | | | | | | | | | | (23981) all_61_9 = unit
% 176.70/27.49 | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | REDUCE: (23685), (23981) imply:
% 176.70/27.49 | | | | | | | | | | | | | (23982) ~ (all_22_1 = unit)
% 176.70/27.49 | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | SIMP: (23982) implies:
% 176.70/27.49 | | | | | | | | | | | | | (23983) ~ (all_22_1 = unit)
% 176.70/27.49 | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | REDUCE: (23444), (23981) imply:
% 176.70/27.49 | | | | | | | | | | | | | (23984) ~ (all_14_1 = unit)
% 176.70/27.49 | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | SIMP: (23984) implies:
% 176.70/27.49 | | | | | | | | | | | | | (23985) ~ (all_14_1 = unit)
% 176.70/27.49 | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | REDUCE: (23645), (23981) imply:
% 176.70/27.49 | | | | | | | | | | | | | (23986) ~ (unit = e0)
% 176.70/27.49 | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | REDUCE: (23459), (23981) imply:
% 176.70/27.49 | | | | | | | | | | | | | (23987) op(unit, e1) = all_14_1
% 176.70/27.49 | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e1, all_14_1, e1, unit,
% 176.70/27.49 | | | | | | | | | | | | | simplifying with (8), (23987) gives:
% 176.70/27.49 | | | | | | | | | | | | | (23988) all_14_1 = e1
% 176.70/27.49 | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | REDUCE: (23690), (23988) imply:
% 176.70/27.49 | | | | | | | | | | | | | (23989) ~ (all_22_1 = e1)
% 176.70/27.49 | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | REDUCE: (23985), (23988) imply:
% 176.70/27.49 | | | | | | | | | | | | | (23990) ~ (unit = e1)
% 176.70/27.49 | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | SIMP: (23990) implies:
% 176.70/27.49 | | | | | | | | | | | | | (23991) ~ (unit = e1)
% 176.70/27.49 | | | | | | | | | | | | |
% 176.70/27.49 | | | | | | | | | | | | | REF_CLOSE: (258), (264), (21766), (23682), (23684), (23691),
% 176.70/27.49 | | | | | | | | | | | | | (23911), (23983), (23986), (23989), (23991) are
% 176.70/27.49 | | | | | | | | | | | | | inconsistent by sub-proof #16.
% 176.70/27.49 | | | | | | | | | | | | |
% 176.72/27.49 | | | | | | | | | | | | End of split
% 176.72/27.49 | | | | | | | | | | | |
% 176.72/27.49 | | | | | | | | | | | End of split
% 176.72/27.49 | | | | | | | | | | |
% 176.72/27.49 | | | | | | | | | | End of split
% 176.72/27.49 | | | | | | | | | |
% 176.72/27.49 | | | | | | | | | End of split
% 176.72/27.49 | | | | | | | | |
% 176.72/27.49 | | | | | | | | Case 2:
% 176.72/27.49 | | | | | | | | |
% 176.72/27.49 | | | | | | | | | (23992) all_20_2 = e2
% 176.72/27.49 | | | | | | | | | (23993) op(e0, e2) = all_20_1 & $i(all_20_1) & ( ~
% 176.72/27.49 | | | | | | | | | (all_20_1 = e1) | ( ~ (all_20_0 = e3) & op(e1,
% 176.72/27.49 | | | | | | | | | e0) = all_20_0 & $i(all_20_0)))
% 176.72/27.49 | | | | | | | | |
% 176.72/27.49 | | | | | | | | | ALPHA: (23993) implies:
% 176.72/27.49 | | | | | | | | | (23994) op(e0, e2) = all_20_1
% 176.72/27.49 | | | | | | | | |
% 176.72/27.49 | | | | | | | | | REDUCE: (627), (23992) imply:
% 176.72/27.49 | | | | | | | | | (23995) ~ (all_61_14 = e2)
% 176.72/27.49 | | | | | | | | |
% 176.72/27.49 | | | | | | | | | REDUCE: (695), (23992) imply:
% 176.72/27.49 | | | | | | | | | (23996) op(e2, e2) = all_65_75
% 176.72/27.49 | | | | | | | | |
% 176.72/27.49 | | | | | | | | | REDUCE: (696), (23992) imply:
% 176.72/27.50 | | | | | | | | | (23997) op(e2, e1) = all_65_77
% 176.72/27.50 | | | | | | | | |
% 176.72/27.50 | | | | | | | | | REDUCE: (697), (23992) imply:
% 176.72/27.50 | | | | | | | | | (23998) op(e2, e0) = all_65_78
% 176.72/27.50 | | | | | | | | |
% 176.72/27.50 | | | | | | | | | REDUCE: (713), (23992) imply:
% 176.72/27.50 | | | | | | | | | (23999) op(e3, e2) = all_65_15
% 176.72/27.50 | | | | | | | | |
% 176.72/27.50 | | | | | | | | | REDUCE: (730), (23992) imply:
% 176.72/27.50 | | | | | | | | | (24000) op(e2, e2) = all_65_31
% 176.72/27.50 | | | | | | | | |
% 176.72/27.50 | | | | | | | | | REDUCE: (747), (23992) imply:
% 176.72/27.50 | | | | | | | | | (24001) op(e1, e2) = all_65_47
% 176.72/27.50 | | | | | | | | |
% 176.72/27.50 | | | | | | | | | REDUCE: (764), (23992) imply:
% 176.72/27.50 | | | | | | | | | (24002) op(e0, e2) = all_65_78
% 176.72/27.50 | | | | | | | | |
% 176.72/27.50 | | | | | | | | | GROUND_INST: instantiating (50) with all_61_7, all_20_1, e2,
% 176.72/27.50 | | | | | | | | | e0, simplifying with (225), (23994) gives:
% 176.72/27.50 | | | | | | | | | (24003) all_61_7 = all_20_1
% 176.72/27.50 | | | | | | | | |
% 176.72/27.50 | | | | | | | | | GROUND_INST: instantiating (50) with all_61_7, all_65_78, e2,
% 176.72/27.50 | | | | | | | | | e0, simplifying with (225), (24002) gives:
% 176.72/27.50 | | | | | | | | | (24004) all_65_78 = all_61_7
% 176.72/27.50 | | | | | | | | |
% 176.72/27.50 | | | | | | | | | GROUND_INST: instantiating (50) with all_61_9, all_65_47, e2,
% 176.72/27.50 | | | | | | | | | e1, simplifying with (23463), (24001) gives:
% 176.72/27.50 | | | | | | | | | (24005) all_65_47 = all_61_9
% 176.72/27.50 | | | | | | | | |
% 176.72/27.50 | | | | | | | | | GROUND_INST: instantiating (50) with all_61_13, all_65_78, e0,
% 176.72/27.50 | | | | | | | | | e2, simplifying with (231), (23998) gives:
% 176.72/27.50 | | | | | | | | | (24006) all_65_78 = all_61_13
% 176.72/27.50 | | | | | | | | |
% 176.72/27.50 | | | | | | | | | GROUND_INST: instantiating (50) with all_61_9, all_65_77, e1,
% 176.72/27.50 | | | | | | | | | e2, simplifying with (232), (23997) gives:
% 176.72/27.50 | | | | | | | | | (24007) all_65_77 = all_61_9
% 176.72/27.50 | | | | | | | | |
% 176.72/27.50 | | | | | | | | | GROUND_INST: instantiating (50) with all_6_2, all_65_31, e2,
% 176.72/27.50 | | | | | | | | | e2, simplifying with (55), (24000) gives:
% 176.72/27.50 | | | | | | | | | (24008) all_65_31 = all_6_2
% 176.72/27.50 | | | | | | | | |
% 176.72/27.50 | | | | | | | | | GROUND_INST: instantiating (50) with all_65_75, all_65_31, e2,
% 176.72/27.50 | | | | | | | | | e2, simplifying with (23996), (24000) gives:
% 176.72/27.50 | | | | | | | | | (24009) all_65_31 = all_65_75
% 176.72/27.50 | | | | | | | | |
% 176.72/27.50 | | | | | | | | | GROUND_INST: instantiating (50) with all_14_1, all_65_15, e2,
% 176.72/27.50 | | | | | | | | | e3, simplifying with (23396), (23999) gives:
% 176.72/27.50 | | | | | | | | | (24010) all_65_15 = all_14_1
% 176.72/27.50 | | | | | | | | |
% 176.72/27.50 | | | | | | | | | COMBINE_EQS: (24008), (24009) imply:
% 176.72/27.50 | | | | | | | | | (24011) all_65_75 = all_6_2
% 176.72/27.50 | | | | | | | | |
% 176.72/27.50 | | | | | | | | | COMBINE_EQS: (24004), (24006) imply:
% 176.72/27.50 | | | | | | | | | (24012) all_61_7 = all_61_13
% 176.72/27.50 | | | | | | | | |
% 176.72/27.50 | | | | | | | | | SIMP: (24012) implies:
% 176.72/27.50 | | | | | | | | | (24013) all_61_7 = all_61_13
% 176.72/27.50 | | | | | | | | |
% 176.72/27.50 | | | | | | | | | COMBINE_EQS: (24003), (24013) imply:
% 176.72/27.50 | | | | | | | | | (24014) all_61_13 = all_20_1
% 176.72/27.50 | | | | | | | | |
% 176.72/27.50 | | | | | | | | | REDUCE: (687), (24003) imply:
% 176.72/27.50 | | | | | | | | | (24015) op(all_20_1, e2) = all_65_59
% 176.72/27.50 | | | | | | | | |
% 176.72/27.50 | | | | | | | | | REDUCE: (689), (24003) imply:
% 176.72/27.50 | | | | | | | | | (24016) op(all_20_1, e0) = all_65_63
% 176.72/27.50 | | | | | | | | |
% 176.72/27.50 | | | | | | | | | REDUCE: (649), (24010) imply:
% 176.72/27.50 | | | | | | | | | (24017) op(all_61_12, e0) = all_14_1
% 176.72/27.50 | | | | | | | | |
% 176.72/27.50 | | | | | | | | | REDUCE: (663), (24014) imply:
% 176.72/27.50 | | | | | | | | | (24018) op(all_20_1, e2) = all_65_29
% 176.72/27.50 | | | | | | | | |
% 176.72/27.50 | | | | | | | | | REDUCE: (665), (24008), (24014) imply:
% 176.72/27.50 | | | | | | | | | (24019) op(all_20_1, e0) = all_6_2
% 176.72/27.50 | | | | | | | | |
% 176.72/27.50 | | | | | | | | | REDUCE: (681), (24005) imply:
% 176.72/27.50 | | | | | | | | | (24020) op(all_61_14, e0) = all_61_9
% 176.72/27.50 | | | | | | | | |
% 176.72/27.50 | | | | | | | | | REDUCE: (728), (24003) imply:
% 176.72/27.50 | | | | | | | | | (24021) op(e2, all_20_1) = all_65_29
% 176.72/27.50 | | | | | | | | |
% 176.72/27.50 | | | | | | | | | REDUCE: (722), (24014) imply:
% 176.72/27.50 | | | | | | | | | (24022) op(e2, all_20_1) = all_65_23
% 176.72/27.50 | | | | | | | | |
% 176.72/27.50 | | | | | | | | | REDUCE: (231), (24014) imply:
% 176.72/27.50 | | | | | | | | | (24023) op(e2, e0) = all_20_1
% 176.72/27.50 | | | | | | | | |
% 176.72/27.50 | | | | | | | | | GROUND_INST: instantiating (50) with all_65_29, all_65_23,
% 176.72/27.50 | | | | | | | | | all_20_1, e2, simplifying with (24021), (24022)
% 176.72/27.50 | | | | | | | | | gives:
% 176.72/27.50 | | | | | | | | | (24024) all_65_23 = all_65_29
% 176.72/27.50 | | | | | | | | |
% 176.72/27.50 | | | | | | | | | GROUND_INST: instantiating (50) with all_6_2, all_65_63, e0,
% 176.72/27.50 | | | | | | | | | all_20_1, simplifying with (24016), (24019) gives:
% 176.72/27.50 | | | | | | | | | (24025) all_65_63 = all_6_2
% 176.72/27.50 | | | | | | | | |
% 176.72/27.50 | | | | | | | | | GROUND_INST: instantiating (50) with all_65_59, all_65_29, e2,
% 176.72/27.50 | | | | | | | | | all_20_1, simplifying with (24015), (24018) gives:
% 176.72/27.50 | | | | | | | | | (24026) all_65_29 = all_65_59
% 176.72/27.50 | | | | | | | | |
% 176.72/27.50 | | | | | | | | | COMBINE_EQS: (24024), (24026) imply:
% 176.72/27.50 | | | | | | | | | (24027) all_65_23 = all_65_59
% 176.72/27.50 | | | | | | | | |
% 176.72/27.50 | | | | | | | | | REDUCE: (657), (24027) imply:
% 176.72/27.50 | | | | | | | | | (24028) op(all_6_2, e0) = all_65_59
% 176.72/27.50 | | | | | | | | |
% 176.72/27.50 | | | | | | | | | BETA: splitting (80) gives:
% 176.72/27.50 | | | | | | | | |
% 176.72/27.50 | | | | | | | | | Case 1:
% 176.72/27.50 | | | | | | | | | |
% 176.72/27.50 | | | | | | | | | | (24029) ~ (all_22_2 = e0)
% 176.72/27.50 | | | | | | | | | |
% 176.72/27.50 | | | | | | | | | | REDUCE: (449), (24029) imply:
% 176.72/27.50 | | | | | | | | | | (24030) ~ (all_6_2 = e0)
% 176.72/27.50 | | | | | | | | | |
% 176.72/27.50 | | | | | | | | | | BETA: splitting (266) gives:
% 176.72/27.50 | | | | | | | | | |
% 176.72/27.50 | | | | | | | | | | Case 1:
% 176.72/27.50 | | | | | | | | | | |
% 176.72/27.50 | | | | | | | | | | | (24031) all_63_5 = e3
% 176.72/27.50 | | | | | | | | | | |
% 176.72/27.50 | | | | | | | | | | | COMBINE_EQS: (587), (24031) imply:
% 176.72/27.50 | | | | | | | | | | | (24032) all_6_2 = e3
% 176.72/27.50 | | | | | | | | | | |
% 176.72/27.50 | | | | | | | | | | | REDUCE: (21541), (24032) imply:
% 176.72/27.50 | | | | | | | | | | | (24033) $false
% 176.72/27.50 | | | | | | | | | | |
% 176.72/27.50 | | | | | | | | | | | CLOSE: (24033) is inconsistent.
% 176.72/27.50 | | | | | | | | | | |
% 176.72/27.50 | | | | | | | | | | Case 2:
% 176.72/27.50 | | | | | | | | | | |
% 176.72/27.50 | | | | | | | | | | | (24034) all_63_5 = e2 | all_63_5 = e1 | all_63_5 = e0
% 176.72/27.50 | | | | | | | | | | |
% 176.72/27.50 | | | | | | | | | | | BETA: splitting (24034) gives:
% 176.72/27.50 | | | | | | | | | | |
% 176.72/27.50 | | | | | | | | | | | Case 1:
% 176.72/27.50 | | | | | | | | | | | |
% 176.72/27.50 | | | | | | | | | | | | (24035) all_63_5 = e2
% 176.72/27.50 | | | | | | | | | | | |
% 176.72/27.50 | | | | | | | | | | | | COMBINE_EQS: (587), (24035) imply:
% 176.72/27.50 | | | | | | | | | | | | (24036) all_6_2 = e2
% 176.72/27.50 | | | | | | | | | | | |
% 176.72/27.50 | | | | | | | | | | | | REDUCE: (24019), (24036) imply:
% 176.72/27.50 | | | | | | | | | | | | (24037) op(all_20_1, e0) = e2
% 176.72/27.50 | | | | | | | | | | | |
% 176.72/27.50 | | | | | | | | | | | | REDUCE: (23453), (24036) imply:
% 176.72/27.50 | | | | | | | | | | | | (24038) op(all_14_1, e3) = e2
% 176.72/27.50 | | | | | | | | | | | |
% 176.72/27.50 | | | | | | | | | | | | REDUCE: (23472), (24036) imply:
% 176.72/27.50 | | | | | | | | | | | | (24039) op(e2, e1) = all_65_37
% 176.72/27.50 | | | | | | | | | | | |
% 176.72/27.50 | | | | | | | | | | | | REDUCE: (24028), (24036) imply:
% 176.72/27.50 | | | | | | | | | | | | (24040) op(e2, e0) = all_65_59
% 176.72/27.50 | | | | | | | | | | | |
% 176.72/27.50 | | | | | | | | | | | | REDUCE: (23473), (24036) imply:
% 176.72/27.50 | | | | | | | | | | | | (24041) op(e3, e2) = all_65_20
% 176.72/27.50 | | | | | | | | | | | |
% 176.72/27.50 | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_20_1, all_65_59, e0,
% 176.72/27.50 | | | | | | | | | | | | e2, simplifying with (24023), (24040) gives:
% 176.72/27.50 | | | | | | | | | | | | (24042) all_65_59 = all_20_1
% 176.72/27.50 | | | | | | | | | | | |
% 176.72/27.50 | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_9, all_65_37, e1,
% 176.72/27.50 | | | | | | | | | | | | e2, simplifying with (232), (24039) gives:
% 176.72/27.50 | | | | | | | | | | | | (24043) all_65_37 = all_61_9
% 176.72/27.50 | | | | | | | | | | | |
% 176.72/27.50 | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_14_1, all_65_20, e2,
% 176.72/27.50 | | | | | | | | | | | | e3, simplifying with (23396), (24041) gives:
% 176.72/27.50 | | | | | | | | | | | | (24044) all_65_20 = all_14_1
% 176.72/27.50 | | | | | | | | | | | |
% 176.72/27.50 | | | | | | | | | | | | BETA: splitting (163) gives:
% 176.72/27.50 | | | | | | | | | | | |
% 176.72/27.50 | | | | | | | | | | | | Case 1:
% 176.72/27.50 | | | | | | | | | | | | |
% 176.72/27.50 | | | | | | | | | | | | | (24045) ~ (all_58_1 = e0)
% 176.72/27.50 | | | | | | | | | | | | |
% 176.72/27.50 | | | | | | | | | | | | | REDUCE: (481), (24045) imply:
% 176.72/27.50 | | | | | | | | | | | | | (24046) ~ (all_52_1 = e0)
% 176.72/27.50 | | | | | | | | | | | | |
% 176.72/27.50 | | | | | | | | | | | | | BETA: splitting (158) gives:
% 176.72/27.50 | | | | | | | | | | | | |
% 176.72/27.50 | | | | | | | | | | | | | Case 1:
% 176.72/27.50 | | | | | | | | | | | | | |
% 176.72/27.50 | | | | | | | | | | | | | | (24047) ~ (all_58_3 = e2)
% 176.72/27.50 | | | | | | | | | | | | | |
% 176.72/27.50 | | | | | | | | | | | | | | REDUCE: (475), (24047) imply:
% 176.72/27.50 | | | | | | | | | | | | | | (24048) ~ (all_52_3 = e2)
% 176.72/27.50 | | | | | | | | | | | | | |
% 176.72/27.50 | | | | | | | | | | | | | | BETA: splitting (160) gives:
% 176.72/27.50 | | | | | | | | | | | | | |
% 176.72/27.50 | | | | | | | | | | | | | | Case 1:
% 176.72/27.50 | | | | | | | | | | | | | | |
% 176.72/27.50 | | | | | | | | | | | | | | | (24049) ~ (all_58_2 = e0)
% 176.72/27.50 | | | | | | | | | | | | | | |
% 176.72/27.50 | | | | | | | | | | | | | | | REDUCE: (478), (24049) imply:
% 176.72/27.50 | | | | | | | | | | | | | | | (24050) ~ (all_52_2 = e0)
% 176.72/27.50 | | | | | | | | | | | | | | |
% 176.72/27.50 | | | | | | | | | | | | | | | BETA: splitting (157) gives:
% 176.72/27.50 | | | | | | | | | | | | | | |
% 176.72/27.50 | | | | | | | | | | | | | | | Case 1:
% 176.72/27.50 | | | | | | | | | | | | | | | |
% 176.72/27.50 | | | | | | | | | | | | | | | | (24051) ~ (all_58_3 = e1)
% 176.72/27.50 | | | | | | | | | | | | | | | |
% 176.72/27.50 | | | | | | | | | | | | | | | | REDUCE: (475), (24051) imply:
% 176.72/27.50 | | | | | | | | | | | | | | | | (24052) ~ (all_52_3 = e1)
% 176.72/27.50 | | | | | | | | | | | | | | | |
% 176.72/27.50 | | | | | | | | | | | | | | | | BETA: splitting (167) gives:
% 176.72/27.50 | | | | | | | | | | | | | | | |
% 176.72/27.50 | | | | | | | | | | | | | | | | Case 1:
% 176.72/27.50 | | | | | | | | | | | | | | | | |
% 176.72/27.50 | | | | | | | | | | | | | | | | | (24053) ~ (all_58_0 = e1)
% 176.72/27.50 | | | | | | | | | | | | | | | | |
% 176.72/27.50 | | | | | | | | | | | | | | | | | REDUCE: (484), (24053) imply:
% 176.72/27.50 | | | | | | | | | | | | | | | | | (24054) ~ (all_52_0 = e1)
% 176.72/27.50 | | | | | | | | | | | | | | | | |
% 176.72/27.50 | | | | | | | | | | | | | | | | | BETA: splitting (168) gives:
% 176.72/27.50 | | | | | | | | | | | | | | | | |
% 176.72/27.50 | | | | | | | | | | | | | | | | | Case 1:
% 176.72/27.50 | | | | | | | | | | | | | | | | | |
% 176.72/27.50 | | | | | | | | | | | | | | | | | | (24055) ~ (all_58_0 = e2)
% 176.72/27.50 | | | | | | | | | | | | | | | | | |
% 176.72/27.50 | | | | | | | | | | | | | | | | | | REDUCE: (484), (24055) imply:
% 176.72/27.50 | | | | | | | | | | | | | | | | | | (24056) ~ (all_52_0 = e2)
% 176.72/27.50 | | | | | | | | | | | | | | | | | |
% 176.72/27.50 | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7), (8), (13), (49), (50), (126), (148),
% 176.72/27.50 | | | | | | | | | | | | | | | | | | (149), (151), (159), (166), (226), (232), (235),
% 176.72/27.50 | | | | | | | | | | | | | | | | | | (475), (484), (534), (538), (539), (629), (631),
% 176.72/27.50 | | | | | | | | | | | | | | | | | | (633), (685), (714), (748), (765), (21765),
% 176.72/27.50 | | | | | | | | | | | | | | | | | | (21766), (23396), (23397), (23401), (23410),
% 176.72/27.50 | | | | | | | | | | | | | | | | | | (23448), (23474), (24017), (24048), (24052),
% 176.72/27.50 | | | | | | | | | | | | | | | | | | (24054), (24056) are inconsistent by sub-proof
% 176.72/27.50 | | | | | | | | | | | | | | | | | | #15.
% 176.72/27.50 | | | | | | | | | | | | | | | | | |
% 176.72/27.50 | | | | | | | | | | | | | | | | | Case 2:
% 176.72/27.50 | | | | | | | | | | | | | | | | | |
% 176.72/27.50 | | | | | | | | | | | | | | | | | | (24057) all_58_1 = e3
% 176.72/27.50 | | | | | | | | | | | | | | | | | | (24058) all_58_0 = e2
% 176.72/27.50 | | | | | | | | | | | | | | | | | |
% 176.72/27.50 | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (50), (481), (484), (628), (714), (23396),
% 176.72/27.50 | | | | | | | | | | | | | | | | | | (24038), (24057), (24058) are inconsistent by
% 176.72/27.50 | | | | | | | | | | | | | | | | | | sub-proof #365.
% 176.72/27.50 | | | | | | | | | | | | | | | | | |
% 176.72/27.50 | | | | | | | | | | | | | | | | | End of split
% 176.72/27.50 | | | | | | | | | | | | | | | | |
% 176.72/27.50 | | | | | | | | | | | | | | | | Case 2:
% 176.72/27.50 | | | | | | | | | | | | | | | | |
% 176.72/27.50 | | | | | | | | | | | | | | | | | (24059) all_58_0 = e1
% 176.72/27.50 | | | | | | | | | | | | | | | | |
% 176.72/27.50 | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (20), (50), (484), (714), (21521), (23408),
% 176.72/27.50 | | | | | | | | | | | | | | | | | (24059) are inconsistent by sub-proof #21.
% 176.72/27.50 | | | | | | | | | | | | | | | | |
% 176.72/27.50 | | | | | | | | | | | | | | | | End of split
% 176.72/27.50 | | | | | | | | | | | | | | | |
% 176.72/27.50 | | | | | | | | | | | | | | | Case 2:
% 176.72/27.50 | | | | | | | | | | | | | | | |
% 176.72/27.50 | | | | | | | | | | | | | | | | (24060) all_58_2 = e0
% 176.72/27.50 | | | | | | | | | | | | | | | |
% 176.72/27.50 | | | | | | | | | | | | | | | | REF_CLOSE: (478), (24050), (24060) are inconsistent by
% 176.72/27.50 | | | | | | | | | | | | | | | | sub-proof #436.
% 176.72/27.50 | | | | | | | | | | | | | | | |
% 176.72/27.50 | | | | | | | | | | | | | | | End of split
% 176.72/27.50 | | | | | | | | | | | | | | |
% 176.72/27.50 | | | | | | | | | | | | | | Case 2:
% 176.72/27.50 | | | | | | | | | | | | | | |
% 176.72/27.50 | | | | | | | | | | | | | | | (24061) all_58_3 = e1
% 176.72/27.50 | | | | | | | | | | | | | | | (24062) all_58_2 = e0
% 176.72/27.50 | | | | | | | | | | | | | | |
% 176.72/27.50 | | | | | | | | | | | | | | | COMBINE_EQS: (478), (24062) imply:
% 176.72/27.50 | | | | | | | | | | | | | | | (24063) all_52_2 = e0
% 176.72/27.50 | | | | | | | | | | | | | | |
% 176.72/27.50 | | | | | | | | | | | | | | | COMBINE_EQS: (475), (24061) imply:
% 176.72/27.50 | | | | | | | | | | | | | | | (24064) all_52_3 = e1
% 176.72/27.50 | | | | | | | | | | | | | | |
% 176.72/27.50 | | | | | | | | | | | | | | | REDUCE: (748), (24063) imply:
% 176.72/27.50 | | | | | | | | | | | | | | | (24065) op(e1, e0) = unit
% 176.72/27.50 | | | | | | | | | | | | | | |
% 176.72/27.50 | | | | | | | | | | | | | | | REDUCE: (765), (24064) imply:
% 176.72/27.50 | | | | | | | | | | | | | | | (24066) op(e0, e1) = unit
% 176.72/27.50 | | | | | | | | | | | | | | |
% 176.72/27.50 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_11, unit, e1, e0,
% 176.72/27.50 | | | | | | | | | | | | | | | simplifying with (224), (24066) gives:
% 176.72/27.50 | | | | | | | | | | | | | | | (24067) all_61_11 = unit
% 176.72/27.50 | | | | | | | | | | | | | | |
% 176.72/27.50 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_14, unit, e0, e1,
% 176.72/27.50 | | | | | | | | | | | | | | | simplifying with (227), (24065) gives:
% 176.72/27.50 | | | | | | | | | | | | | | | (24068) all_61_14 = unit
% 176.72/27.50 | | | | | | | | | | | | | | |
% 176.72/27.50 | | | | | | | | | | | | | | | REDUCE: (23452), (24068) imply:
% 176.72/27.50 | | | | | | | | | | | | | | | (24069) ~ (all_61_9 = unit)
% 176.72/27.50 | | | | | | | | | | | | | | |
% 176.72/27.50 | | | | | | | | | | | | | | | REDUCE: (179), (24068) imply:
% 176.72/27.50 | | | | | | | | | | | | | | | (24070) ~ (all_61_12 = unit)
% 176.72/27.50 | | | | | | | | | | | | | | |
% 176.72/27.50 | | | | | | | | | | | | | | | REDUCE: (23995), (24068) imply:
% 176.72/27.50 | | | | | | | | | | | | | | | (24071) ~ (unit = e2)
% 176.72/27.50 | | | | | | | | | | | | | | |
% 176.72/27.50 | | | | | | | | | | | | | | | REDUCE: (21518), (24067) imply:
% 176.72/27.50 | | | | | | | | | | | | | | | (24072) op(unit, e1) = all_61_3
% 176.72/27.50 | | | | | | | | | | | | | | |
% 176.72/27.50 | | | | | | | | | | | | | | | REDUCE: (693), (24067) imply:
% 176.72/27.50 | | | | | | | | | | | | | | | (24073) op(unit, e0) = all_65_71
% 176.72/27.50 | | | | | | | | | | | | | | |
% 176.72/27.50 | | | | | | | | | | | | | | | REDUCE: (680), (24068) imply:
% 176.72/27.50 | | | | | | | | | | | | | | | (24074) op(unit, e1) = all_65_46
% 176.72/27.50 | | | | | | | | | | | | | | |
% 176.72/27.50 | | | | | | | | | | | | | | | REDUCE: (24020), (24068) imply:
% 176.72/27.50 | | | | | | | | | | | | | | | (24075) op(unit, e0) = all_61_9
% 176.72/27.50 | | | | | | | | | | | | | | |
% 176.72/27.50 | | | | | | | | | | | | | | | REDUCE: (746), (24067) imply:
% 176.72/27.50 | | | | | | | | | | | | | | | (24076) op(e1, unit) = all_65_46
% 176.72/27.50 | | | | | | | | | | | | | | |
% 176.72/27.50 | | | | | | | | | | | | | | | REDUCE: (21525), (24068) imply:
% 176.72/27.50 | | | | | | | | | | | | | | | (24077) op(e1, unit) = all_61_12
% 176.72/27.50 | | | | | | | | | | | | | | |
% 176.72/27.50 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_12, all_65_46,
% 176.72/27.50 | | | | | | | | | | | | | | | unit, e1, simplifying with (24076), (24077) gives:
% 176.72/27.50 | | | | | | | | | | | | | | | (24078) all_65_46 = all_61_12
% 176.72/27.50 | | | | | | | | | | | | | | |
% 176.72/27.50 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e0, all_65_71, e0, unit,
% 176.72/27.50 | | | | | | | | | | | | | | | simplifying with (7), (24073) gives:
% 176.72/27.50 | | | | | | | | | | | | | | | (24079) all_65_71 = e0
% 176.72/27.50 | | | | | | | | | | | | | | |
% 176.72/27.50 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_9, all_65_71, e0,
% 176.72/27.50 | | | | | | | | | | | | | | | unit, simplifying with (24073), (24075) gives:
% 176.72/27.50 | | | | | | | | | | | | | | | (24080) all_65_71 = all_61_9
% 176.72/27.50 | | | | | | | | | | | | | | |
% 176.72/27.50 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e1, all_65_46, e1, unit,
% 176.72/27.50 | | | | | | | | | | | | | | | simplifying with (8), (24074) gives:
% 176.72/27.50 | | | | | | | | | | | | | | | (24081) all_65_46 = e1
% 176.72/27.50 | | | | | | | | | | | | | | |
% 176.72/27.50 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_3, all_65_46, e1,
% 176.72/27.50 | | | | | | | | | | | | | | | unit, simplifying with (24072), (24074) gives:
% 176.72/27.50 | | | | | | | | | | | | | | | (24082) all_65_46 = all_61_3
% 176.72/27.50 | | | | | | | | | | | | | | |
% 176.72/27.50 | | | | | | | | | | | | | | | COMBINE_EQS: (24081), (24082) imply:
% 176.72/27.50 | | | | | | | | | | | | | | | (24083) all_61_3 = e1
% 176.72/27.50 | | | | | | | | | | | | | | |
% 176.72/27.50 | | | | | | | | | | | | | | | COMBINE_EQS: (24078), (24082) imply:
% 176.72/27.50 | | | | | | | | | | | | | | | (24084) all_61_3 = all_61_12
% 176.72/27.50 | | | | | | | | | | | | | | |
% 176.72/27.50 | | | | | | | | | | | | | | | COMBINE_EQS: (24079), (24080) imply:
% 176.72/27.50 | | | | | | | | | | | | | | | (24085) all_61_9 = e0
% 176.72/27.50 | | | | | | | | | | | | | | |
% 176.72/27.50 | | | | | | | | | | | | | | | SIMP: (24085) implies:
% 176.72/27.50 | | | | | | | | | | | | | | | (24086) all_61_9 = e0
% 176.72/27.50 | | | | | | | | | | | | | | |
% 176.72/27.50 | | | | | | | | | | | | | | | COMBINE_EQS: (24083), (24084) imply:
% 176.72/27.50 | | | | | | | | | | | | | | | (24087) all_61_12 = e1
% 176.72/27.50 | | | | | | | | | | | | | | |
% 176.72/27.50 | | | | | | | | | | | | | | | SIMP: (24087) implies:
% 176.72/27.50 | | | | | | | | | | | | | | | (24088) all_61_12 = e1
% 176.72/27.50 | | | | | | | | | | | | | | |
% 176.72/27.50 | | | | | | | | | | | | | | | REDUCE: (24069), (24086) imply:
% 176.72/27.50 | | | | | | | | | | | | | | | (24089) ~ (unit = e0)
% 176.72/27.50 | | | | | | | | | | | | | | |
% 176.72/27.50 | | | | | | | | | | | | | | | SIMP: (24089) implies:
% 176.72/27.50 | | | | | | | | | | | | | | | (24090) ~ (unit = e0)
% 176.72/27.50 | | | | | | | | | | | | | | |
% 176.72/27.50 | | | | | | | | | | | | | | | REDUCE: (24070), (24088) imply:
% 176.72/27.50 | | | | | | | | | | | | | | | (24091) ~ (unit = e1)
% 176.72/27.50 | | | | | | | | | | | | | | |
% 176.72/27.50 | | | | | | | | | | | | | | | SIMP: (24091) implies:
% 176.72/27.50 | | | | | | | | | | | | | | | (24092) ~ (unit = e1)
% 176.72/27.50 | | | | | | | | | | | | | | |
% 176.72/27.50 | | | | | | | | | | | | | | | REF_CLOSE: (21766), (24071), (24090), (24092) are
% 176.72/27.50 | | | | | | | | | | | | | | | inconsistent by sub-proof #398.
% 176.72/27.50 | | | | | | | | | | | | | | |
% 176.72/27.50 | | | | | | | | | | | | | | End of split
% 176.72/27.50 | | | | | | | | | | | | | |
% 176.72/27.50 | | | | | | | | | | | | | Case 2:
% 176.72/27.50 | | | | | | | | | | | | | |
% 176.72/27.50 | | | | | | | | | | | | | | (24093) all_58_1 = e0
% 176.72/27.50 | | | | | | | | | | | | | |
% 176.72/27.50 | | | | | | | | | | | | | | REF_CLOSE: (481), (24046), (24093) are inconsistent by
% 176.72/27.50 | | | | | | | | | | | | | | sub-proof #462.
% 176.72/27.50 | | | | | | | | | | | | | |
% 176.72/27.50 | | | | | | | | | | | | | End of split
% 176.72/27.50 | | | | | | | | | | | | |
% 176.72/27.50 | | | | | | | | | | | | Case 2:
% 176.72/27.50 | | | | | | | | | | | | |
% 176.72/27.50 | | | | | | | | | | | | | (24094) all_58_3 = e2
% 176.72/27.50 | | | | | | | | | | | | | (24095) all_58_1 = e0
% 176.72/27.50 | | | | | | | | | | | | |
% 176.72/27.50 | | | | | | | | | | | | | REF_CLOSE: (7), (50), (475), (481), (632), (731), (24023),
% 176.72/27.50 | | | | | | | | | | | | | (24037), (24094), (24095) are inconsistent by
% 176.72/27.50 | | | | | | | | | | | | | sub-proof #378.
% 176.72/27.50 | | | | | | | | | | | | |
% 176.72/27.50 | | | | | | | | | | | | End of split
% 176.72/27.50 | | | | | | | | | | | |
% 176.72/27.50 | | | | | | | | | | | Case 2:
% 176.72/27.50 | | | | | | | | | | | |
% 176.72/27.50 | | | | | | | | | | | | (24096) all_63_5 = e1 | all_63_5 = e0
% 176.72/27.50 | | | | | | | | | | | |
% 176.72/27.50 | | | | | | | | | | | | REF_CLOSE: (587), (21768), (24030), (24096) are inconsistent
% 176.72/27.50 | | | | | | | | | | | | by sub-proof #524.
% 176.72/27.50 | | | | | | | | | | | |
% 176.72/27.50 | | | | | | | | | | | End of split
% 176.72/27.50 | | | | | | | | | | |
% 176.72/27.50 | | | | | | | | | | End of split
% 176.72/27.50 | | | | | | | | | |
% 176.72/27.50 | | | | | | | | | Case 2:
% 176.72/27.50 | | | | | | | | | |
% 176.72/27.50 | | | | | | | | | | (24097) all_22_2 = e0
% 176.72/27.50 | | | | | | | | | |
% 176.72/27.50 | | | | | | | | | | COMBINE_EQS: (449), (24097) imply:
% 176.72/27.50 | | | | | | | | | | (24098) all_6_2 = e0
% 176.72/27.50 | | | | | | | | | |
% 176.72/27.50 | | | | | | | | | | SIMP: (24098) implies:
% 176.72/27.50 | | | | | | | | | | (24099) all_6_2 = e0
% 176.72/27.50 | | | | | | | | | |
% 176.72/27.50 | | | | | | | | | | REDUCE: (613), (24099) imply:
% 176.72/27.50 | | | | | | | | | | (24100) ~ (all_61_9 = e0)
% 176.72/27.50 | | | | | | | | | |
% 176.72/27.50 | | | | | | | | | | REDUCE: (654), (24099) imply:
% 176.72/27.50 | | | | | | | | | | (24101) op(e0, e3) = all_65_20
% 176.72/27.50 | | | | | | | | | |
% 176.72/27.50 | | | | | | | | | | REDUCE: (23472), (24099) imply:
% 176.72/27.50 | | | | | | | | | | (24102) op(e0, e1) = all_65_37
% 176.72/27.50 | | | | | | | | | |
% 176.72/27.50 | | | | | | | | | | REDUCE: (23473), (24099) imply:
% 176.72/27.50 | | | | | | | | | | (24103) op(e3, e0) = all_65_20
% 176.72/27.50 | | | | | | | | | |
% 176.72/27.50 | | | | | | | | | | REDUCE: (737), (24099) imply:
% 176.72/27.50 | | | | | | | | | | (24104) op(e1, e0) = all_65_37
% 176.72/27.50 | | | | | | | | | |
% 176.72/27.50 | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_11, all_65_37, e1,
% 176.72/27.50 | | | | | | | | | | e0, simplifying with (224), (24102) gives:
% 176.72/27.50 | | | | | | | | | | (24105) all_65_37 = all_61_11
% 176.72/27.50 | | | | | | | | | |
% 176.72/27.50 | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_3, all_65_20, e3,
% 176.72/27.50 | | | | | | | | | | e0, simplifying with (226), (24101) gives:
% 176.72/27.50 | | | | | | | | | | (24106) all_65_20 = all_61_3
% 176.72/27.50 | | | | | | | | | |
% 176.72/27.50 | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_14, all_65_37, e0,
% 176.72/27.50 | | | | | | | | | | e1, simplifying with (227), (24104) gives:
% 176.72/27.50 | | | | | | | | | | (24107) all_65_37 = all_61_14
% 176.72/27.50 | | | | | | | | | |
% 176.72/27.50 | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_12, all_65_20, e0,
% 176.72/27.50 | | | | | | | | | | e3, simplifying with (235), (24103) gives:
% 176.72/27.50 | | | | | | | | | | (24108) all_65_20 = all_61_12
% 176.72/27.50 | | | | | | | | | |
% 176.72/27.50 | | | | | | | | | | COMBINE_EQS: (24106), (24108) imply:
% 176.72/27.50 | | | | | | | | | | (24109) all_61_3 = all_61_12
% 176.72/27.50 | | | | | | | | | |
% 176.72/27.50 | | | | | | | | | | SIMP: (24109) implies:
% 176.72/27.50 | | | | | | | | | | (24110) all_61_3 = all_61_12
% 176.72/27.50 | | | | | | | | | |
% 176.72/27.50 | | | | | | | | | | COMBINE_EQS: (24105), (24107) imply:
% 176.72/27.50 | | | | | | | | | | (24111) all_61_11 = all_61_14
% 176.72/27.50 | | | | | | | | | |
% 176.72/27.50 | | | | | | | | | | SIMP: (24111) implies:
% 176.72/27.50 | | | | | | | | | | (24112) all_61_11 = all_61_14
% 176.72/27.50 | | | | | | | | | |
% 176.72/27.50 | | | | | | | | | | REDUCE: (685), (24110) imply:
% 176.72/27.50 | | | | | | | | | | (24113) op(all_61_12, e0) = all_65_55
% 176.72/27.50 | | | | | | | | | |
% 176.72/27.50 | | | | | | | | | | REDUCE: (693), (24112) imply:
% 176.72/27.50 | | | | | | | | | | (24114) op(all_61_14, e0) = all_65_71
% 176.72/27.50 | | | | | | | | | |
% 176.72/27.50 | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_9, all_65_71, e0,
% 176.72/27.50 | | | | | | | | | | all_61_14, simplifying with (24020), (24114)
% 176.72/27.50 | | | | | | | | | | gives:
% 176.72/27.50 | | | | | | | | | | (24115) all_65_71 = all_61_9
% 176.72/27.50 | | | | | | | | | |
% 176.72/27.50 | | | | | | | | | | GROUND_INST: instantiating (50) with all_14_1, all_65_55, e0,
% 176.72/27.50 | | | | | | | | | | all_61_12, simplifying with (24017), (24113)
% 176.72/27.50 | | | | | | | | | | gives:
% 176.72/27.50 | | | | | | | | | | (24116) all_65_55 = all_14_1
% 176.72/27.50 | | | | | | | | | |
% 176.72/27.50 | | | | | | | | | | BETA: splitting (161) gives:
% 176.72/27.50 | | | | | | | | | |
% 176.72/27.50 | | | | | | | | | | Case 1:
% 176.72/27.50 | | | | | | | | | | |
% 176.72/27.50 | | | | | | | | | | | (24117) ~ (all_58_2 = e2)
% 176.72/27.50 | | | | | | | | | | |
% 176.72/27.50 | | | | | | | | | | | REDUCE: (478), (24117) imply:
% 176.72/27.50 | | | | | | | | | | | (24118) ~ (all_52_2 = e2)
% 176.72/27.50 | | | | | | | | | | |
% 176.72/27.50 | | | | | | | | | | | BETA: splitting (167) gives:
% 176.72/27.50 | | | | | | | | | | |
% 176.72/27.50 | | | | | | | | | | | Case 1:
% 176.72/27.50 | | | | | | | | | | | |
% 176.72/27.50 | | | | | | | | | | | | (24119) ~ (all_58_0 = e1)
% 176.72/27.50 | | | | | | | | | | | |
% 176.72/27.50 | | | | | | | | | | | | REDUCE: (484), (24119) imply:
% 176.72/27.50 | | | | | | | | | | | | (24120) ~ (all_52_0 = e1)
% 176.72/27.50 | | | | | | | | | | | |
% 176.72/27.50 | | | | | | | | | | | | REF_CLOSE: (7), (50), (149), (160), (162), (227), (478),
% 176.72/27.50 | | | | | | | | | | | | (484), (538), (748), (21466), (21765), (24020),
% 176.72/27.50 | | | | | | | | | | | | (24100), (24118), (24120) are inconsistent by
% 176.72/27.50 | | | | | | | | | | | | sub-proof #23.
% 176.72/27.50 | | | | | | | | | | | |
% 176.72/27.50 | | | | | | | | | | | Case 2:
% 176.72/27.50 | | | | | | | | | | | |
% 176.72/27.50 | | | | | | | | | | | | (24121) all_58_0 = e1
% 176.72/27.50 | | | | | | | | | | | |
% 176.72/27.50 | | | | | | | | | | | | REF_CLOSE: (8), (20), (50), (484), (714), (21521), (23408),
% 176.72/27.50 | | | | | | | | | | | | (24121) are inconsistent by sub-proof #21.
% 176.72/27.50 | | | | | | | | | | | |
% 176.72/27.50 | | | | | | | | | | | End of split
% 176.72/27.50 | | | | | | | | | | |
% 176.72/27.50 | | | | | | | | | | Case 2:
% 176.72/27.50 | | | | | | | | | | |
% 176.72/27.50 | | | | | | | | | | | (24122) all_58_2 = e2
% 176.72/27.50 | | | | | | | | | | | (24123) all_58_1 = e1
% 176.72/27.50 | | | | | | | | | | |
% 176.72/27.50 | | | | | | | | | | | COMBINE_EQS: (481), (24123) imply:
% 176.72/27.50 | | | | | | | | | | | (24124) all_52_1 = e1
% 176.72/27.50 | | | | | | | | | | |
% 176.72/27.50 | | | | | | | | | | | SIMP: (24124) implies:
% 176.72/27.50 | | | | | | | | | | | (24125) all_52_1 = e1
% 176.72/27.50 | | | | | | | | | | |
% 176.72/27.50 | | | | | | | | | | | COMBINE_EQS: (478), (24122) imply:
% 176.72/27.50 | | | | | | | | | | | (24126) all_52_2 = e2
% 176.72/27.50 | | | | | | | | | | |
% 176.72/27.50 | | | | | | | | | | | SIMP: (24126) implies:
% 176.72/27.50 | | | | | | | | | | | (24127) all_52_2 = e2
% 176.72/27.50 | | | | | | | | | | |
% 176.72/27.50 | | | | | | | | | | | REDUCE: (628), (24125) imply:
% 176.72/27.50 | | | | | | | | | | | (24128) ~ (all_52_0 = e1)
% 176.72/27.50 | | | | | | | | | | |
% 176.72/27.50 | | | | | | | | | | | REDUCE: (629), (24127) imply:
% 176.72/27.50 | | | | | | | | | | | (24129) ~ (all_52_0 = e2)
% 176.72/27.50 | | | | | | | | | | |
% 176.72/27.50 | | | | | | | | | | | REDUCE: (632), (24125) imply:
% 176.72/27.50 | | | | | | | | | | | (24130) ~ (all_52_3 = e1)
% 176.72/27.50 | | | | | | | | | | |
% 176.72/27.50 | | | | | | | | | | | SIMP: (24130) implies:
% 176.72/27.50 | | | | | | | | | | | (24131) ~ (all_52_3 = e1)
% 176.72/27.50 | | | | | | | | | | |
% 176.72/27.50 | | | | | | | | | | | REDUCE: (633), (24127) imply:
% 176.72/27.50 | | | | | | | | | | | (24132) ~ (all_52_3 = e2)
% 176.72/27.50 | | | | | | | | | | |
% 176.72/27.50 | | | | | | | | | | | SIMP: (24132) implies:
% 176.72/27.50 | | | | | | | | | | | (24133) ~ (all_52_3 = e2)
% 176.72/27.50 | | | | | | | | | | |
% 176.72/27.50 | | | | | | | | | | | REF_CLOSE: (6), (7), (8), (13), (49), (50), (126), (148),
% 176.72/27.50 | | | | | | | | | | | (149), (151), (159), (166), (226), (232), (235),
% 176.72/27.50 | | | | | | | | | | | (475), (484), (534), (538), (539), (629), (631),
% 176.72/27.50 | | | | | | | | | | | (633), (685), (714), (748), (765), (21765),
% 176.72/27.50 | | | | | | | | | | | (21766), (23396), (23397), (23401), (23410),
% 176.72/27.50 | | | | | | | | | | | (23448), (23474), (24017), (24128), (24129),
% 176.72/27.50 | | | | | | | | | | | (24131), (24133) are inconsistent by sub-proof
% 176.72/27.50 | | | | | | | | | | | #15.
% 176.72/27.50 | | | | | | | | | | |
% 176.72/27.50 | | | | | | | | | | End of split
% 176.72/27.50 | | | | | | | | | |
% 176.72/27.50 | | | | | | | | | End of split
% 176.72/27.50 | | | | | | | | |
% 176.72/27.50 | | | | | | | | End of split
% 176.72/27.50 | | | | | | | |
% 176.72/27.50 | | | | | | | End of split
% 176.72/27.50 | | | | | | |
% 176.72/27.50 | | | | | | End of split
% 176.72/27.50 | | | | | |
% 176.72/27.50 | | | | | Case 2:
% 176.72/27.50 | | | | | |
% 176.72/27.50 | | | | | | (24134) all_12_2 = e1
% 176.72/27.50 | | | | | | (24135) op(e2, e1) = all_12_1 & $i(all_12_1) & ( ~ (all_12_1 =
% 176.72/27.50 | | | | | | e3) | ( ~ (all_12_0 = e0) & op(e3, e2) = all_12_0 &
% 176.72/27.50 | | | | | | $i(all_12_0)))
% 176.72/27.50 | | | | | |
% 176.72/27.50 | | | | | | ALPHA: (24135) implies:
% 176.72/27.50 | | | | | | (24136) op(e2, e1) = all_12_1
% 176.72/27.50 | | | | | |
% 176.72/27.50 | | | | | | COMBINE_EQS: (575), (24134) imply:
% 176.72/27.50 | | | | | | (24137) all_6_2 = e1
% 176.72/27.50 | | | | | |
% 176.72/27.50 | | | | | | COMBINE_EQS: (570), (24137) imply:
% 176.72/27.50 | | | | | | (24138) all_16_2 = e1
% 176.72/27.50 | | | | | |
% 176.72/27.50 | | | | | | REDUCE: (604), (24137) imply:
% 176.72/27.50 | | | | | | (24139) ~ (all_61_1 = e1)
% 176.72/27.50 | | | | | |
% 176.72/27.50 | | | | | | REDUCE: (613), (24137) imply:
% 176.72/27.50 | | | | | | (24140) ~ (all_61_9 = e1)
% 176.72/27.50 | | | | | |
% 176.72/27.50 | | | | | | REDUCE: (615), (24137) imply:
% 176.72/27.50 | | | | | | (24141) ~ (all_61_13 = e1)
% 176.72/27.50 | | | | | |
% 176.72/27.50 | | | | | | REDUCE: (654), (24137) imply:
% 176.72/27.50 | | | | | | (24142) op(e1, e3) = all_65_20
% 176.72/27.50 | | | | | |
% 176.72/27.50 | | | | | | REDUCE: (655), (24137) imply:
% 176.72/27.50 | | | | | | (24143) op(e1, e2) = all_65_21
% 176.72/27.50 | | | | | |
% 176.72/27.50 | | | | | | REDUCE: (656), (24137) imply:
% 176.72/27.50 | | | | | | (24144) op(e1, e1) = all_65_22
% 176.72/27.50 | | | | | |
% 176.72/27.50 | | | | | | REDUCE: (657), (24137) imply:
% 176.72/27.50 | | | | | | (24145) op(e1, e0) = all_65_23
% 176.72/27.50 | | | | | |
% 176.72/27.50 | | | | | | REDUCE: (703), (24137) imply:
% 176.72/27.50 | | | | | | (24146) op(e3, e1) = all_65_5
% 176.72/27.50 | | | | | |
% 176.72/27.50 | | | | | | REDUCE: (720), (24137) imply:
% 176.72/27.50 | | | | | | (24147) op(e2, e1) = all_65_21
% 176.72/27.50 | | | | | |
% 176.72/27.50 | | | | | | REDUCE: (55), (24137) imply:
% 176.72/27.50 | | | | | | (24148) op(e2, e2) = e1
% 176.72/27.50 | | | | | |
% 176.72/27.50 | | | | | | REDUCE: (737), (24137) imply:
% 176.72/27.50 | | | | | | (24149) op(e1, e1) = all_65_37
% 176.72/27.50 | | | | | |
% 176.72/27.50 | | | | | | REDUCE: (754), (24137) imply:
% 176.72/27.50 | | | | | | (24150) op(e0, e1) = all_65_59
% 176.72/27.50 | | | | | |
% 176.72/27.50 | | | | | | BETA: splitting (71) gives:
% 176.72/27.50 | | | | | |
% 176.72/27.50 | | | | | | Case 1:
% 176.72/27.50 | | | | | | |
% 176.72/27.50 | | | | | | | (24151) ~ (all_16_2 = e1)
% 176.72/27.50 | | | | | | |
% 176.72/27.50 | | | | | | | REDUCE: (24138), (24151) imply:
% 176.72/27.50 | | | | | | | (24152) $false
% 176.72/27.50 | | | | | | |
% 176.72/27.50 | | | | | | | CLOSE: (24152) is inconsistent.
% 176.72/27.50 | | | | | | |
% 176.72/27.50 | | | | | | Case 2:
% 176.72/27.50 | | | | | | |
% 176.72/27.50 | | | | | | | (24153) op(e2, e1) = all_16_1 & $i(all_16_1) & ( ~ (all_16_1 =
% 176.72/27.50 | | | | | | | e0) | ( ~ (all_16_0 = e3) & op(e0, e2) = all_16_0 &
% 176.72/27.50 | | | | | | | $i(all_16_0)))
% 176.72/27.50 | | | | | | |
% 176.72/27.50 | | | | | | | ALPHA: (24153) implies:
% 176.72/27.50 | | | | | | | (24154) op(e2, e1) = all_16_1
% 176.72/27.50 | | | | | | |
% 176.72/27.50 | | | | | | | GROUND_INST: instantiating (50) with all_61_11, all_65_59, e1, e0,
% 176.72/27.50 | | | | | | | simplifying with (224), (24150) gives:
% 176.72/27.50 | | | | | | | (24155) all_65_59 = all_61_11
% 176.72/27.50 | | | | | | |
% 176.72/27.50 | | | | | | | GROUND_INST: instantiating (50) with all_61_14, all_65_23, e0, e1,
% 176.72/27.50 | | | | | | | simplifying with (227), (24145) gives:
% 176.72/27.50 | | | | | | | (24156) all_65_23 = all_61_14
% 176.72/27.50 | | | | | | |
% 176.72/27.51 | | | | | | | GROUND_INST: instantiating (50) with e3, all_65_22, e1, e1,
% 176.72/27.51 | | | | | | | simplifying with (21466), (24144) gives:
% 176.72/27.51 | | | | | | | (24157) all_65_22 = e3
% 176.72/27.51 | | | | | | |
% 176.72/27.51 | | | | | | | GROUND_INST: instantiating (50) with all_65_37, all_65_22, e1, e1,
% 176.72/27.51 | | | | | | | simplifying with (24144), (24149) gives:
% 176.72/27.51 | | | | | | | (24158) all_65_22 = all_65_37
% 176.72/27.51 | | | | | | |
% 176.72/27.51 | | | | | | | GROUND_INST: instantiating (50) with all_61_6, all_65_21, e2, e1,
% 176.72/27.51 | | | | | | | simplifying with (229), (24143) gives:
% 176.72/27.51 | | | | | | | (24159) all_65_21 = all_61_6
% 176.72/27.51 | | | | | | |
% 176.72/27.51 | | | | | | | GROUND_INST: instantiating (50) with all_4_1, all_65_20, e3, e1,
% 176.72/27.51 | | | | | | | simplifying with (21451), (24142) gives:
% 176.72/27.51 | | | | | | | (24160) all_65_20 = all_4_1
% 176.72/27.51 | | | | | | |
% 176.72/27.51 | | | | | | | GROUND_INST: instantiating (50) with all_61_9, all_16_1, e1, e2,
% 176.72/27.51 | | | | | | | simplifying with (232), (24154) gives:
% 176.72/27.51 | | | | | | | (24161) all_61_9 = all_16_1
% 176.72/27.51 | | | | | | |
% 176.72/27.51 | | | | | | | GROUND_INST: instantiating (50) with all_61_9, all_65_21, e1, e2,
% 176.72/27.51 | | | | | | | simplifying with (232), (24147) gives:
% 176.72/27.51 | | | | | | | (24162) all_65_21 = all_61_9
% 176.72/27.51 | | | | | | |
% 176.72/27.51 | | | | | | | GROUND_INST: instantiating (50) with all_12_1, all_65_21, e1, e2,
% 176.72/27.51 | | | | | | | simplifying with (24136), (24147) gives:
% 176.72/27.51 | | | | | | | (24163) all_65_21 = all_12_1
% 176.72/27.51 | | | | | | |
% 176.72/27.51 | | | | | | | GROUND_INST: instantiating (50) with all_4_1, all_65_5, e1, e3,
% 176.72/27.51 | | | | | | | simplifying with (21521), (24146) gives:
% 176.72/27.51 | | | | | | | (24164) all_65_5 = all_4_1
% 176.72/27.51 | | | | | | |
% 176.72/27.51 | | | | | | | COMBINE_EQS: (24159), (24163) imply:
% 176.72/27.51 | | | | | | | (24165) all_61_6 = all_12_1
% 176.72/27.51 | | | | | | |
% 176.72/27.51 | | | | | | | SIMP: (24165) implies:
% 176.72/27.51 | | | | | | | (24166) all_61_6 = all_12_1
% 176.72/27.51 | | | | | | |
% 176.72/27.51 | | | | | | | COMBINE_EQS: (24162), (24163) imply:
% 176.72/27.51 | | | | | | | (24167) all_61_9 = all_12_1
% 176.72/27.51 | | | | | | |
% 176.72/27.51 | | | | | | | SIMP: (24167) implies:
% 176.72/27.51 | | | | | | | (24168) all_61_9 = all_12_1
% 176.72/27.51 | | | | | | |
% 176.72/27.51 | | | | | | | COMBINE_EQS: (24157), (24158) imply:
% 176.72/27.51 | | | | | | | (24169) all_65_37 = e3
% 176.72/27.51 | | | | | | |
% 176.72/27.51 | | | | | | | COMBINE_EQS: (24161), (24168) imply:
% 176.72/27.51 | | | | | | | (24170) all_16_1 = all_12_1
% 176.72/27.51 | | | | | | |
% 176.72/27.51 | | | | | | | SIMP: (24170) implies:
% 176.72/27.51 | | | | | | | (24171) all_16_1 = all_12_1
% 176.72/27.51 | | | | | | |
% 176.72/27.51 | | | | | | | COMBINE_EQS: (497), (24168) imply:
% 176.72/27.51 | | | | | | | (24172) all_63_6 = all_12_1
% 176.72/27.51 | | | | | | |
% 176.72/27.51 | | | | | | | REDUCE: (213), (24168) imply:
% 176.72/27.51 | | | | | | | (24173) ~ (all_61_1 = all_12_1)
% 176.72/27.51 | | | | | | |
% 176.72/27.51 | | | | | | | REDUCE: (195), (24166) imply:
% 176.72/27.51 | | | | | | | (24174) ~ (all_61_7 = all_12_1)
% 176.72/27.51 | | | | | | |
% 176.72/27.51 | | | | | | | SIMP: (24174) implies:
% 176.72/27.51 | | | | | | | (24175) ~ (all_61_7 = all_12_1)
% 176.72/27.51 | | | | | | |
% 176.72/27.51 | | | | | | | REDUCE: (193), (24166) imply:
% 176.72/27.51 | | | | | | | (24176) ~ (all_61_14 = all_12_1)
% 176.72/27.51 | | | | | | |
% 176.72/27.51 | | | | | | | SIMP: (24176) implies:
% 176.72/27.51 | | | | | | | (24177) ~ (all_61_14 = all_12_1)
% 176.72/27.51 | | | | | | |
% 176.72/27.51 | | | | | | | REDUCE: (185), (24168) imply:
% 176.72/27.51 | | | | | | | (24178) ~ (all_61_11 = all_12_1)
% 176.72/27.51 | | | | | | |
% 176.72/27.51 | | | | | | | SIMP: (24178) implies:
% 176.72/27.51 | | | | | | | (24179) ~ (all_61_11 = all_12_1)
% 176.72/27.51 | | | | | | |
% 176.72/27.51 | | | | | | | REDUCE: (184), (24168) imply:
% 176.72/27.51 | | | | | | | (24180) ~ (all_61_13 = all_12_1)
% 176.72/27.51 | | | | | | |
% 176.72/27.51 | | | | | | | SIMP: (24180) implies:
% 176.72/27.51 | | | | | | | (24181) ~ (all_61_13 = all_12_1)
% 176.72/27.51 | | | | | | |
% 176.72/27.51 | | | | | | | REDUCE: (21501), (24168) imply:
% 176.72/27.51 | | | | | | | (24182) ~ (all_12_1 = all_4_1)
% 176.72/27.51 | | | | | | |
% 176.72/27.51 | | | | | | | REDUCE: (21456), (24168) imply:
% 176.72/27.51 | | | | | | | (24183) ~ (all_12_1 = e3)
% 176.72/27.51 | | | | | | |
% 176.72/27.51 | | | | | | | REDUCE: (24140), (24168) imply:
% 176.72/27.51 | | | | | | | (24184) ~ (all_12_1 = e1)
% 176.72/27.51 | | | | | | |
% 176.72/27.51 | | | | | | | REDUCE: (670), (24166) imply:
% 176.72/27.51 | | | | | | | (24185) op(all_12_1, e3) = all_65_36
% 176.72/27.51 | | | | | | |
% 176.72/27.51 | | | | | | | REDUCE: (671), (24166), (24169) imply:
% 176.72/27.51 | | | | | | | (24186) op(all_12_1, e2) = e3
% 176.72/27.51 | | | | | | |
% 176.72/27.51 | | | | | | | REDUCE: (672), (24166) imply:
% 176.72/27.51 | | | | | | | (24187) op(all_12_1, e1) = all_65_38
% 176.72/27.51 | | | | | | |
% 176.72/27.51 | | | | | | | REDUCE: (687), (24155) imply:
% 176.72/27.51 | | | | | | | (24188) op(all_61_7, e2) = all_61_11
% 176.72/27.51 | | | | | | |
% 176.72/27.51 | | | | | | | REDUCE: (658), (24168) imply:
% 176.72/27.51 | | | | | | | (24189) op(all_12_1, e3) = all_65_24
% 176.72/27.51 | | | | | | |
% 176.72/27.51 | | | | | | | REDUCE: (659), (24168) imply:
% 176.72/27.51 | | | | | | | (24190) op(all_12_1, e2) = all_65_25
% 176.72/27.51 | | | | | | |
% 176.72/27.51 | | | | | | | REDUCE: (21517), (24168) imply:
% 176.72/27.51 | | | | | | | (24191) op(all_12_1, e1) = all_61_1
% 176.72/27.51 | | | | | | |
% 176.72/27.51 | | | | | | | REDUCE: (21539), (24166) imply:
% 176.72/27.51 | | | | | | | (24192) op(e3, all_12_1) = all_65_33
% 176.72/27.51 | | | | | | |
% 176.72/27.51 | | | | | | | REDUCE: (704), (24168) imply:
% 176.72/27.51 | | | | | | | (24193) op(e3, all_12_1) = all_65_6
% 176.72/27.51 | | | | | | |
% 176.72/27.51 | | | | | | | REDUCE: (722), (24156) imply:
% 176.72/27.51 | | | | | | | (24194) op(e2, all_61_13) = all_61_14
% 176.72/27.51 | | | | | | |
% 176.72/27.51 | | | | | | | REDUCE: (21524), (24166) imply:
% 176.72/27.51 | | | | | | | (24195) op(e1, all_12_1) = all_61_4
% 176.72/27.51 | | | | | | |
% 176.72/27.51 | | | | | | | REDUCE: (738), (24168) imply:
% 176.72/27.51 | | | | | | | (24196) op(e1, all_12_1) = all_65_38
% 176.72/27.51 | | | | | | |
% 176.72/27.51 | | | | | | | REDUCE: (229), (24166) imply:
% 176.72/27.51 | | | | | | | (24197) op(e1, e2) = all_12_1
% 176.72/27.51 | | | | | | |
% 176.72/27.51 | | | | | | | GROUND_INST: instantiating (50) with all_61_4, all_65_38,
% 176.72/27.51 | | | | | | | all_12_1, e1, simplifying with (24195), (24196)
% 176.72/27.51 | | | | | | | gives:
% 176.72/27.51 | | | | | | | (24198) all_65_38 = all_61_4
% 176.72/27.51 | | | | | | |
% 176.72/27.51 | | | | | | | GROUND_INST: instantiating (50) with all_65_33, all_65_6,
% 176.72/27.51 | | | | | | | all_12_1, e3, simplifying with (24192), (24193)
% 176.72/27.51 | | | | | | | gives:
% 176.72/27.51 | | | | | | | (24199) all_65_6 = all_65_33
% 176.72/27.51 | | | | | | |
% 176.72/27.51 | | | | | | | GROUND_INST: instantiating (50) with all_61_1, all_65_38, e1,
% 176.72/27.51 | | | | | | | all_12_1, simplifying with (24187), (24191) gives:
% 176.72/27.51 | | | | | | | (24200) all_65_38 = all_61_1
% 176.72/27.51 | | | | | | |
% 176.72/27.51 | | | | | | | GROUND_INST: instantiating (50) with e3, all_65_25, e2, all_12_1,
% 176.72/27.51 | | | | | | | simplifying with (24186), (24190) gives:
% 176.72/27.51 | | | | | | | (24201) all_65_25 = e3
% 176.72/27.51 | | | | | | |
% 176.72/27.51 | | | | | | | GROUND_INST: instantiating (50) with all_65_36, all_65_24, e3,
% 176.72/27.51 | | | | | | | all_12_1, simplifying with (24185), (24189) gives:
% 176.72/27.51 | | | | | | | (24202) all_65_24 = all_65_36
% 176.72/27.51 | | | | | | |
% 176.72/27.51 | | | | | | | COMBINE_EQS: (24198), (24200) imply:
% 176.72/27.51 | | | | | | | (24203) all_61_1 = all_61_4
% 176.72/27.51 | | | | | | |
% 176.72/27.51 | | | | | | | COMBINE_EQS: (493), (24203) imply:
% 176.72/27.51 | | | | | | | (24204) all_63_4 = all_61_4
% 176.72/27.51 | | | | | | |
% 176.72/27.51 | | | | | | | REDUCE: (215), (24203) imply:
% 176.72/27.51 | | | | | | | (24205) ~ (all_61_3 = all_61_4)
% 176.72/27.51 | | | | | | |
% 176.72/27.51 | | | | | | | SIMP: (24205) implies:
% 176.72/27.51 | | | | | | | (24206) ~ (all_61_3 = all_61_4)
% 176.72/27.51 | | | | | | |
% 176.72/27.51 | | | | | | | REDUCE: (24173), (24203) imply:
% 176.72/27.51 | | | | | | | (24207) ~ (all_61_4 = all_12_1)
% 176.72/27.51 | | | | | | |
% 176.72/27.51 | | | | | | | REDUCE: (24139), (24203) imply:
% 176.72/27.51 | | | | | | | (24208) ~ (all_61_4 = e1)
% 176.72/27.51 | | | | | | |
% 176.72/27.51 | | | | | | | REDUCE: (650), (24203) imply:
% 176.72/27.51 | | | | | | | (24209) op(all_61_4, e3) = all_65_16
% 176.72/27.51 | | | | | | |
% 176.72/27.51 | | | | | | | REDUCE: (21536), (24202), (24203) imply:
% 176.72/27.51 | | | | | | | (24210) op(all_61_4, e1) = all_65_36
% 176.72/27.51 | | | | | | |
% 176.72/27.51 | | | | | | | REDUCE: (640), (24199) imply:
% 176.72/27.51 | | | | | | | (24211) op(all_61_4, e1) = all_65_33
% 176.72/27.51 | | | | | | |
% 176.72/27.51 | | | | | | | REDUCE: (702), (24203) imply:
% 176.72/27.51 | | | | | | | (24212) op(e3, all_61_4) = all_65_4
% 176.72/27.51 | | | | | | |
% 176.72/27.51 | | | | | | | REDUCE: (234), (24203) imply:
% 176.72/27.51 | | | | | | | (24213) op(e2, e3) = all_61_4
% 176.72/27.51 | | | | | | |
% 176.72/27.51 | | | | | | | GROUND_INST: instantiating (50) with all_65_1, all_65_4, all_61_4,
% 176.72/27.51 | | | | | | | e3, simplifying with (699), (24212) gives:
% 176.72/27.51 | | | | | | | (24214) all_65_1 = all_65_4
% 176.72/27.51 | | | | | | |
% 176.72/27.51 | | | | | | | GROUND_INST: instantiating (50) with all_65_36, all_65_33, e1,
% 176.72/27.51 | | | | | | | all_61_4, simplifying with (24210), (24211) gives:
% 176.72/27.51 | | | | | | | (24215) all_65_33 = all_65_36
% 176.72/27.51 | | | | | | |
% 176.72/27.51 | | | | | | | GROUND_INST: instantiating (50) with all_65_4, all_65_16, e3,
% 176.72/27.51 | | | | | | | all_61_4, simplifying with (638), (24209) gives:
% 176.72/27.51 | | | | | | | (24216) all_65_4 = all_65_16
% 176.72/27.51 | | | | | | |
% 176.72/27.51 | | | | | | | COMBINE_EQS: (24214), (24216) imply:
% 176.72/27.51 | | | | | | | (24217) all_65_1 = all_65_16
% 176.72/27.51 | | | | | | |
% 176.72/27.51 | | | | | | | REDUCE: (635), (24217) imply:
% 176.72/27.51 | | | | | | | (24218) op(all_14_2, e2) = all_65_16
% 176.72/27.51 | | | | | | |
% 176.72/27.51 | | | | | | | REDUCE: (21510), (24215) imply:
% 176.72/27.51 | | | | | | | (24219) op(all_4_1, e2) = all_65_36
% 176.72/27.51 | | | | | | |
% 176.72/27.51 | | | | | | | BETA: splitting (68) gives:
% 176.72/27.51 | | | | | | |
% 176.72/27.51 | | | | | | | Case 1:
% 176.72/27.51 | | | | | | | |
% 176.72/27.51 | | | | | | | | (24220) ~ (all_14_2 = e2)
% 176.72/27.51 | | | | | | | |
% 176.72/27.51 | | | | | | | | BETA: splitting (77) gives:
% 176.72/27.51 | | | | | | | |
% 176.72/27.51 | | | | | | | | Case 1:
% 176.72/27.51 | | | | | | | | |
% 176.72/27.51 | | | | | | | | | (24221) ~ (all_20_2 = e2)
% 176.72/27.51 | | | | | | | | |
% 176.72/27.51 | | | | | | | | | BETA: splitting (89) gives:
% 176.72/27.51 | | | | | | | | |
% 176.72/27.51 | | | | | | | | | Case 1:
% 176.72/27.51 | | | | | | | | | |
% 176.72/27.51 | | | | | | | | | | (24222) ~ (all_28_2 = e3)
% 176.72/27.51 | | | | | | | | | |
% 176.72/27.51 | | | | | | | | | | REDUCE: (563), (24222) imply:
% 176.72/27.51 | | | | | | | | | | (24223) ~ (all_20_2 = e3)
% 176.72/27.51 | | | | | | | | | |
% 176.72/27.51 | | | | | | | | | | BETA: splitting (101) gives:
% 176.72/27.51 | | | | | | | | | |
% 176.72/27.51 | | | | | | | | | | Case 1:
% 176.72/27.51 | | | | | | | | | | |
% 176.72/27.51 | | | | | | | | | | | (24224) ~ (all_36_2 = e0)
% 176.72/27.51 | | | | | | | | | | |
% 176.72/27.51 | | | | | | | | | | | REDUCE: (557), (24224) imply:
% 176.72/27.51 | | | | | | | | | | | (24225) ~ (all_14_2 = e0)
% 176.72/27.51 | | | | | | | | | | |
% 176.72/27.51 | | | | | | | | | | | BETA: splitting (107) gives:
% 176.72/27.51 | | | | | | | | | | |
% 176.72/27.51 | | | | | | | | | | | Case 1:
% 176.72/27.51 | | | | | | | | | | | |
% 176.72/27.51 | | | | | | | | | | | | (24226) ~ (all_40_2 = e1)
% 176.72/27.51 | | | | | | | | | | | |
% 176.72/27.51 | | | | | | | | | | | | REDUCE: (553), (24226) imply:
% 176.72/27.51 | | | | | | | | | | | | (24227) ~ (all_14_2 = e1)
% 176.72/27.51 | | | | | | | | | | | |
% 176.72/27.51 | | | | | | | | | | | | REF_CLOSE: (10), (50), (67), (151), (159), (162), (165),
% 176.72/27.51 | | | | | | | | | | | | (166), (167), (168), (226), (230), (234), (235),
% 176.72/27.51 | | | | | | | | | | | | (236), (237), (271), (475), (478), (481), (484),
% 176.72/27.51 | | | | | | | | | | | | (534), (588), (599), (601), (603), (635), (636),
% 176.72/27.51 | | | | | | | | | | | | (637), (638), (642), (646), (650), (666), (682),
% 176.72/27.51 | | | | | | | | | | | | (698), (714), (715), (731), (732), (748), (749),
% 176.72/27.51 | | | | | | | | | | | | (765), (21765), (24220), (24225), (24227) are
% 176.72/27.51 | | | | | | | | | | | | inconsistent by sub-proof #502.
% 176.72/27.51 | | | | | | | | | | | |
% 176.72/27.51 | | | | | | | | | | | Case 2:
% 176.72/27.51 | | | | | | | | | | | |
% 176.72/27.51 | | | | | | | | | | | | (24228) all_40_2 = e1
% 176.72/27.51 | | | | | | | | | | | | (24229) op(e3, e1) = all_40_1 & $i(all_40_1) & ( ~
% 176.72/27.51 | | | | | | | | | | | | (all_40_1 = e0) | ( ~ (all_40_0 = e2) & op(e0,
% 176.72/27.51 | | | | | | | | | | | | e3) = all_40_0 & $i(all_40_0)))
% 176.72/27.51 | | | | | | | | | | | |
% 176.72/27.51 | | | | | | | | | | | | ALPHA: (24229) implies:
% 176.72/27.51 | | | | | | | | | | | | (24230) op(e3, e1) = all_40_1
% 176.72/27.51 | | | | | | | | | | | |
% 176.72/27.51 | | | | | | | | | | | | COMBINE_EQS: (553), (24228) imply:
% 176.72/27.51 | | | | | | | | | | | | (24231) all_14_2 = e1
% 176.72/27.51 | | | | | | | | | | | |
% 176.72/27.51 | | | | | | | | | | | | COMBINE_EQS: (466), (24231) imply:
% 176.72/27.51 | | | | | | | | | | | | (24232) all_48_2 = e1
% 176.72/27.51 | | | | | | | | | | | |
% 176.72/27.51 | | | | | | | | | | | | REDUCE: (21507), (24231) imply:
% 176.72/27.51 | | | | | | | | | | | | (24233) ~ (all_4_1 = e1)
% 176.72/27.51 | | | | | | | | | | | |
% 176.72/27.51 | | | | | | | | | | | | SIMP: (24233) implies:
% 176.72/27.51 | | | | | | | | | | | | (24234) ~ (all_4_1 = e1)
% 176.72/27.51 | | | | | | | | | | | |
% 176.72/27.51 | | | | | | | | | | | | REDUCE: (637), (24231) imply:
% 176.72/27.51 | | | | | | | | | | | | (24235) op(e1, e0) = all_65_3
% 176.72/27.51 | | | | | | | | | | | |
% 176.72/27.51 | | | | | | | | | | | | REDUCE: (698), (24231) imply:
% 176.72/27.51 | | | | | | | | | | | | (24236) op(e3, e1) = all_65_0
% 176.72/27.51 | | | | | | | | | | | |
% 176.72/27.51 | | | | | | | | | | | | REDUCE: (67), (24231) imply:
% 176.72/27.51 | | | | | | | | | | | | (24237) op(e3, e3) = e1
% 176.72/27.51 | | | | | | | | | | | |
% 176.72/27.51 | | | | | | | | | | | | REDUCE: (715), (24231) imply:
% 176.72/27.51 | | | | | | | | | | | | (24238) op(e2, e1) = all_65_16
% 176.72/27.51 | | | | | | | | | | | |
% 176.72/27.51 | | | | | | | | | | | | REDUCE: (732), (24231) imply:
% 176.72/27.51 | | | | | | | | | | | | (24239) op(e1, e1) = all_65_32
% 176.72/27.51 | | | | | | | | | | | |
% 176.72/27.51 | | | | | | | | | | | | REDUCE: (749), (24231) imply:
% 176.72/27.51 | | | | | | | | | | | | (24240) op(e0, e1) = all_65_49
% 176.72/27.51 | | | | | | | | | | | |
% 176.72/27.51 | | | | | | | | | | | | BETA: splitting (119) gives:
% 176.72/27.51 | | | | | | | | | | | |
% 176.72/27.51 | | | | | | | | | | | | Case 1:
% 176.72/27.51 | | | | | | | | | | | | |
% 176.72/27.51 | | | | | | | | | | | | | (24241) ~ (all_48_2 = e1)
% 176.72/27.51 | | | | | | | | | | | | |
% 176.72/27.51 | | | | | | | | | | | | | REDUCE: (24232), (24241) imply:
% 176.72/27.51 | | | | | | | | | | | | | (24242) $false
% 176.72/27.51 | | | | | | | | | | | | |
% 176.72/27.51 | | | | | | | | | | | | | CLOSE: (24242) is inconsistent.
% 176.72/27.51 | | | | | | | | | | | | |
% 176.72/27.51 | | | | | | | | | | | | Case 2:
% 176.72/27.51 | | | | | | | | | | | | |
% 176.72/27.51 | | | | | | | | | | | | | (24243) op(e3, e1) = all_48_1 & $i(all_48_1) & ( ~
% 176.72/27.51 | | | | | | | | | | | | | (all_48_1 = e2) | ( ~ (all_48_0 = e0) & op(e2,
% 176.72/27.51 | | | | | | | | | | | | | e3) = all_48_0 & $i(all_48_0)))
% 176.72/27.51 | | | | | | | | | | | | |
% 176.72/27.51 | | | | | | | | | | | | | ALPHA: (24243) implies:
% 176.72/27.51 | | | | | | | | | | | | | (24244) op(e3, e1) = all_48_1
% 176.72/27.51 | | | | | | | | | | | | |
% 176.72/27.51 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_11, all_65_49, e1,
% 176.72/27.51 | | | | | | | | | | | | | e0, simplifying with (224), (24240) gives:
% 176.72/27.51 | | | | | | | | | | | | | (24245) all_65_49 = all_61_11
% 176.72/27.51 | | | | | | | | | | | | |
% 176.72/27.51 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_14, all_65_3, e0,
% 176.72/27.51 | | | | | | | | | | | | | e1, simplifying with (227), (24235) gives:
% 176.72/27.51 | | | | | | | | | | | | | (24246) all_65_3 = all_61_14
% 176.72/27.51 | | | | | | | | | | | | |
% 176.72/27.51 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e3, all_65_32, e1, e1,
% 176.72/27.51 | | | | | | | | | | | | | simplifying with (21466), (24239) gives:
% 176.72/27.51 | | | | | | | | | | | | | (24247) all_65_32 = e3
% 176.72/27.51 | | | | | | | | | | | | |
% 176.72/27.51 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_12_1, all_65_16, e1,
% 176.72/27.51 | | | | | | | | | | | | | e2, simplifying with (24136), (24238) gives:
% 176.72/27.51 | | | | | | | | | | | | | (24248) all_65_16 = all_12_1
% 176.72/27.51 | | | | | | | | | | | | |
% 176.72/27.51 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_4_1, all_48_1, e1, e3,
% 176.72/27.51 | | | | | | | | | | | | | simplifying with (21521), (24244) gives:
% 176.72/27.51 | | | | | | | | | | | | | (24249) all_48_1 = all_4_1
% 176.72/27.51 | | | | | | | | | | | | |
% 176.72/27.51 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_48_1, all_65_0, e1,
% 176.72/27.51 | | | | | | | | | | | | | e3, simplifying with (24236), (24244) gives:
% 176.72/27.51 | | | | | | | | | | | | | (24250) all_65_0 = all_48_1
% 176.72/27.51 | | | | | | | | | | | | |
% 176.72/27.51 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_40_1, all_65_0, e1,
% 176.72/27.51 | | | | | | | | | | | | | e3, simplifying with (24230), (24236) gives:
% 176.72/27.51 | | | | | | | | | | | | | (24251) all_65_0 = all_40_1
% 176.72/27.51 | | | | | | | | | | | | |
% 176.72/27.51 | | | | | | | | | | | | | COMBINE_EQS: (24250), (24251) imply:
% 176.72/27.51 | | | | | | | | | | | | | (24252) all_48_1 = all_40_1
% 176.72/27.51 | | | | | | | | | | | | |
% 176.72/27.51 | | | | | | | | | | | | | SIMP: (24252) implies:
% 176.72/27.51 | | | | | | | | | | | | | (24253) all_48_1 = all_40_1
% 176.72/27.51 | | | | | | | | | | | | |
% 176.72/27.51 | | | | | | | | | | | | | COMBINE_EQS: (24249), (24253) imply:
% 176.72/27.51 | | | | | | | | | | | | | (24254) all_40_1 = all_4_1
% 176.72/27.51 | | | | | | | | | | | | |
% 176.72/27.51 | | | | | | | | | | | | | BETA: splitting (110) gives:
% 176.72/27.51 | | | | | | | | | | | | |
% 176.72/27.51 | | | | | | | | | | | | | Case 1:
% 176.72/27.51 | | | | | | | | | | | | | |
% 176.72/27.51 | | | | | | | | | | | | | | (24255) ~ (all_42_2 = e1)
% 176.72/27.51 | | | | | | | | | | | | | |
% 176.72/27.51 | | | | | | | | | | | | | | REDUCE: (532), (24255) imply:
% 176.72/27.51 | | | | | | | | | | | | | | (24256) ~ (all_20_2 = e1)
% 176.72/27.51 | | | | | | | | | | | | | |
% 176.72/27.51 | | | | | | | | | | | | | | BETA: splitting (256) gives:
% 176.72/27.51 | | | | | | | | | | | | | |
% 176.72/27.51 | | | | | | | | | | | | | | Case 1:
% 176.72/27.51 | | | | | | | | | | | | | | |
% 176.72/27.51 | | | | | | | | | | | | | | | (24257) all_63_15 = e3
% 176.72/27.51 | | | | | | | | | | | | | | |
% 176.72/27.51 | | | | | | | | | | | | | | | COMBINE_EQS: (422), (24257) imply:
% 176.72/27.51 | | | | | | | | | | | | | | | (24258) all_20_2 = e3
% 176.72/27.51 | | | | | | | | | | | | | | |
% 176.72/27.51 | | | | | | | | | | | | | | | REDUCE: (24223), (24258) imply:
% 176.72/27.51 | | | | | | | | | | | | | | | (24259) $false
% 176.72/27.51 | | | | | | | | | | | | | | |
% 176.72/27.51 | | | | | | | | | | | | | | | CLOSE: (24259) is inconsistent.
% 176.72/27.51 | | | | | | | | | | | | | | |
% 176.72/27.51 | | | | | | | | | | | | | | Case 2:
% 176.72/27.51 | | | | | | | | | | | | | | |
% 176.72/27.51 | | | | | | | | | | | | | | | (24260) all_63_15 = e2 | all_63_15 = e1 | all_63_15 = e0
% 176.72/27.51 | | | | | | | | | | | | | | |
% 176.72/27.51 | | | | | | | | | | | | | | | BETA: splitting (24260) gives:
% 176.72/27.51 | | | | | | | | | | | | | | |
% 176.72/27.51 | | | | | | | | | | | | | | | Case 1:
% 176.72/27.51 | | | | | | | | | | | | | | | |
% 176.72/27.51 | | | | | | | | | | | | | | | | (24261) all_63_15 = e2
% 176.72/27.51 | | | | | | | | | | | | | | | |
% 176.72/27.51 | | | | | | | | | | | | | | | | COMBINE_EQS: (422), (24261) imply:
% 176.72/27.51 | | | | | | | | | | | | | | | | (24262) all_20_2 = e2
% 176.72/27.51 | | | | | | | | | | | | | | | |
% 176.72/27.51 | | | | | | | | | | | | | | | | REDUCE: (24221), (24262) imply:
% 176.72/27.51 | | | | | | | | | | | | | | | | (24263) $false
% 176.72/27.51 | | | | | | | | | | | | | | | |
% 176.72/27.51 | | | | | | | | | | | | | | | | CLOSE: (24263) is inconsistent.
% 176.72/27.51 | | | | | | | | | | | | | | | |
% 176.72/27.51 | | | | | | | | | | | | | | | Case 2:
% 176.72/27.51 | | | | | | | | | | | | | | | |
% 176.72/27.51 | | | | | | | | | | | | | | | | (24264) all_63_15 = e1 | all_63_15 = e0
% 176.72/27.51 | | | | | | | | | | | | | | | |
% 176.72/27.51 | | | | | | | | | | | | | | | | BETA: splitting (24264) gives:
% 176.72/27.51 | | | | | | | | | | | | | | | |
% 176.72/27.51 | | | | | | | | | | | | | | | | Case 1:
% 176.72/27.51 | | | | | | | | | | | | | | | | |
% 176.72/27.51 | | | | | | | | | | | | | | | | | (24265) all_63_15 = e1
% 176.72/27.51 | | | | | | | | | | | | | | | | |
% 176.72/27.51 | | | | | | | | | | | | | | | | | COMBINE_EQS: (422), (24265) imply:
% 176.72/27.51 | | | | | | | | | | | | | | | | | (24266) all_20_2 = e1
% 176.72/27.51 | | | | | | | | | | | | | | | | |
% 176.72/27.51 | | | | | | | | | | | | | | | | | REDUCE: (24256), (24266) imply:
% 176.72/27.51 | | | | | | | | | | | | | | | | | (24267) $false
% 176.72/27.51 | | | | | | | | | | | | | | | | |
% 176.72/27.51 | | | | | | | | | | | | | | | | | CLOSE: (24267) is inconsistent.
% 176.72/27.51 | | | | | | | | | | | | | | | | |
% 176.72/27.51 | | | | | | | | | | | | | | | | Case 2:
% 176.72/27.51 | | | | | | | | | | | | | | | | |
% 176.72/27.51 | | | | | | | | | | | | | | | | | (24268) all_63_15 = e0
% 176.72/27.51 | | | | | | | | | | | | | | | | |
% 176.72/27.51 | | | | | | | | | | | | | | | | | COMBINE_EQS: (422), (24268) imply:
% 176.72/27.51 | | | | | | | | | | | | | | | | | (24269) all_20_2 = e0
% 176.72/27.51 | | | | | | | | | | | | | | | | |
% 176.72/27.51 | | | | | | | | | | | | | | | | | REDUCE: (626), (24269) imply:
% 176.72/27.51 | | | | | | | | | | | | | | | | | (24270) ~ (all_61_13 = e0)
% 176.72/27.51 | | | | | | | | | | | | | | | | |
% 176.72/27.51 | | | | | | | | | | | | | | | | | REDUCE: (627), (24269) imply:
% 176.72/27.51 | | | | | | | | | | | | | | | | | (24271) ~ (all_61_14 = e0)
% 176.72/27.51 | | | | | | | | | | | | | | | | |
% 176.72/27.51 | | | | | | | | | | | | | | | | | REDUCE: (696), (24269) imply:
% 176.72/27.51 | | | | | | | | | | | | | | | | | (24272) op(e0, e1) = all_65_77
% 176.72/27.51 | | | | | | | | | | | | | | | | |
% 176.72/27.51 | | | | | | | | | | | | | | | | | REDUCE: (730), (24269) imply:
% 176.72/27.51 | | | | | | | | | | | | | | | | | (24273) op(e2, e0) = all_65_31
% 176.72/27.51 | | | | | | | | | | | | | | | | |
% 176.72/27.51 | | | | | | | | | | | | | | | | | REDUCE: (747), (24269) imply:
% 176.72/27.51 | | | | | | | | | | | | | | | | | (24274) op(e1, e0) = all_65_47
% 176.72/27.51 | | | | | | | | | | | | | | | | |
% 176.72/27.51 | | | | | | | | | | | | | | | | | REDUCE: (764), (24269) imply:
% 176.72/27.51 | | | | | | | | | | | | | | | | | (24275) op(e0, e0) = all_65_78
% 176.72/27.51 | | | | | | | | | | | | | | | | |
% 176.72/27.51 | | | | | | | | | | | | | | | | | REDUCE: (76), (24269) imply:
% 176.72/27.51 | | | | | | | | | | | | | | | | | (24276) op(e0, e0) = e0
% 176.72/27.51 | | | | | | | | | | | | | | | | |
% 176.72/27.51 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e0, all_65_78, e0, e0,
% 176.72/27.51 | | | | | | | | | | | | | | | | | simplifying with (24275), (24276) gives:
% 176.72/27.51 | | | | | | | | | | | | | | | | | (24277) all_65_78 = e0
% 176.72/27.51 | | | | | | | | | | | | | | | | |
% 176.72/27.51 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_11, all_65_77, e1,
% 176.72/27.51 | | | | | | | | | | | | | | | | | e0, simplifying with (224), (24272) gives:
% 176.72/27.51 | | | | | | | | | | | | | | | | | (24278) all_65_77 = all_61_11
% 176.72/27.51 | | | | | | | | | | | | | | | | |
% 176.72/27.51 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_14, all_65_47, e0,
% 176.72/27.51 | | | | | | | | | | | | | | | | | e1, simplifying with (227), (24274) gives:
% 176.72/27.51 | | | | | | | | | | | | | | | | | (24279) all_65_47 = all_61_14
% 176.72/27.51 | | | | | | | | | | | | | | | | |
% 176.72/27.51 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_13, all_65_31, e0,
% 176.72/27.51 | | | | | | | | | | | | | | | | | e2, simplifying with (231), (24273) gives:
% 176.72/27.51 | | | | | | | | | | | | | | | | | (24280) all_65_31 = all_61_13
% 176.72/27.51 | | | | | | | | | | | | | | | | |
% 176.72/27.51 | | | | | | | | | | | | | | | | | REDUCE: (665), (24280) imply:
% 176.72/27.51 | | | | | | | | | | | | | | | | | (24281) op(all_61_13, e0) = all_61_13
% 176.72/27.51 | | | | | | | | | | | | | | | | |
% 176.72/27.51 | | | | | | | | | | | | | | | | | REDUCE: (681), (24279) imply:
% 176.72/27.51 | | | | | | | | | | | | | | | | | (24282) op(all_61_14, e0) = all_61_14
% 176.72/27.51 | | | | | | | | | | | | | | | | |
% 176.72/27.51 | | | | | | | | | | | | | | | | | BETA: splitting (160) gives:
% 176.72/27.51 | | | | | | | | | | | | | | | | |
% 176.72/27.51 | | | | | | | | | | | | | | | | | Case 1:
% 176.72/27.51 | | | | | | | | | | | | | | | | | |
% 176.72/27.51 | | | | | | | | | | | | | | | | | | (24283) ~ (all_58_2 = e0)
% 176.72/27.51 | | | | | | | | | | | | | | | | | |
% 176.72/27.51 | | | | | | | | | | | | | | | | | | REDUCE: (478), (24283) imply:
% 176.72/27.51 | | | | | | | | | | | | | | | | | | (24284) ~ (all_52_2 = e0)
% 176.72/27.51 | | | | | | | | | | | | | | | | | |
% 176.72/27.51 | | | | | | | | | | | | | | | | | | BETA: splitting (159) gives:
% 176.72/27.51 | | | | | | | | | | | | | | | | | |
% 176.72/27.51 | | | | | | | | | | | | | | | | | | Case 1:
% 176.72/27.51 | | | | | | | | | | | | | | | | | | |
% 176.72/27.51 | | | | | | | | | | | | | | | | | | | (24285) ~ (all_58_3 = e3)
% 176.72/27.51 | | | | | | | | | | | | | | | | | | |
% 176.72/27.51 | | | | | | | | | | | | | | | | | | | REDUCE: (475), (24285) imply:
% 176.72/27.51 | | | | | | | | | | | | | | | | | | | (24286) ~ (all_52_3 = e3)
% 176.72/27.51 | | | | | | | | | | | | | | | | | | |
% 176.72/27.51 | | | | | | | | | | | | | | | | | | | BETA: splitting (166) gives:
% 176.72/27.51 | | | | | | | | | | | | | | | | | | |
% 176.72/27.51 | | | | | | | | | | | | | | | | | | | Case 1:
% 176.72/27.51 | | | | | | | | | | | | | | | | | | | |
% 176.72/27.51 | | | | | | | | | | | | | | | | | | | | (24287) ~ (all_58_0 = e0)
% 176.72/27.51 | | | | | | | | | | | | | | | | | | | |
% 176.72/27.51 | | | | | | | | | | | | | | | | | | | | REDUCE: (484), (24287) imply:
% 176.72/27.51 | | | | | | | | | | | | | | | | | | | | (24288) ~ (all_52_0 = e0)
% 176.72/27.51 | | | | | | | | | | | | | | | | | | | |
% 176.72/27.51 | | | | | | | | | | | | | | | | | | | | BETA: splitting (165) gives:
% 176.72/27.51 | | | | | | | | | | | | | | | | | | | |
% 176.72/27.51 | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.72/27.51 | | | | | | | | | | | | | | | | | | | | |
% 176.72/27.51 | | | | | | | | | | | | | | | | | | | | | (24289) ~ (all_58_1 = e3)
% 176.72/27.51 | | | | | | | | | | | | | | | | | | | | |
% 176.72/27.51 | | | | | | | | | | | | | | | | | | | | | REDUCE: (481), (24289) imply:
% 176.72/27.51 | | | | | | | | | | | | | | | | | | | | | (24290) ~ (all_52_1 = e3)
% 176.72/27.51 | | | | | | | | | | | | | | | | | | | | |
% 176.72/27.51 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (168) gives:
% 176.72/27.51 | | | | | | | | | | | | | | | | | | | | |
% 176.72/27.51 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.72/27.51 | | | | | | | | | | | | | | | | | | | | | |
% 176.72/27.51 | | | | | | | | | | | | | | | | | | | | | | (24291) ~ (all_58_0 = e2)
% 176.72/27.51 | | | | | | | | | | | | | | | | | | | | | |
% 176.72/27.51 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (484), (24291) imply:
% 176.72/27.51 | | | | | | | | | | | | | | | | | | | | | | (24292) ~ (all_52_0 = e2)
% 176.72/27.51 | | | | | | | | | | | | | | | | | | | | | |
% 176.72/27.51 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (167) gives:
% 176.72/27.51 | | | | | | | | | | | | | | | | | | | | | |
% 176.72/27.51 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.72/27.51 | | | | | | | | | | | | | | | | | | | | | | |
% 176.72/27.51 | | | | | | | | | | | | | | | | | | | | | | | (24293) ~ (all_58_0 = e1)
% 176.72/27.51 | | | | | | | | | | | | | | | | | | | | | | |
% 176.72/27.51 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (484), (24293) imply:
% 176.72/27.51 | | | | | | | | | | | | | | | | | | | | | | | (24294) ~ (all_52_0 = e1)
% 176.72/27.51 | | | | | | | | | | | | | | | | | | | | | | |
% 176.72/27.51 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (50), (151), (227), (534), (714), (24237),
% 176.72/27.51 | | | | | | | | | | | | | | | | | | | | | | | (24271), (24288), (24292), (24294) are
% 176.72/27.51 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #103.
% 176.72/27.51 | | | | | | | | | | | | | | | | | | | | | | |
% 176.72/27.51 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.72/27.51 | | | | | | | | | | | | | | | | | | | | | | |
% 176.72/27.51 | | | | | | | | | | | | | | | | | | | | | | | (24295) all_58_2 = e3
% 176.72/27.51 | | | | | | | | | | | | | | | | | | | | | | | (24296) all_58_0 = e1
% 176.72/27.51 | | | | | | | | | | | | | | | | | | | | | | |
% 176.72/27.51 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (484), (24296) imply:
% 176.72/27.51 | | | | | | | | | | | | | | | | | | | | | | | (24297) all_52_0 = e1
% 176.72/27.51 | | | | | | | | | | | | | | | | | | | | | | |
% 176.72/27.51 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (24297) implies:
% 176.72/27.51 | | | | | | | | | | | | | | | | | | | | | | | (24298) all_52_0 = e1
% 176.72/27.51 | | | | | | | | | | | | | | | | | | | | | | |
% 176.72/27.51 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (478), (24295) imply:
% 176.72/27.51 | | | | | | | | | | | | | | | | | | | | | | | (24299) all_52_2 = e3
% 176.72/27.51 | | | | | | | | | | | | | | | | | | | | | | |
% 176.72/27.51 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (24299) implies:
% 176.72/27.51 | | | | | | | | | | | | | | | | | | | | | | | (24300) all_52_2 = e3
% 176.72/27.51 | | | | | | | | | | | | | | | | | | | | | | |
% 176.72/27.51 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (628), (24298) imply:
% 176.72/27.51 | | | | | | | | | | | | | | | | | | | | | | | (24301) ~ (all_52_1 = e1)
% 176.72/27.51 | | | | | | | | | | | | | | | | | | | | | | |
% 176.72/27.51 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (24301) implies:
% 176.72/27.51 | | | | | | | | | | | | | | | | | | | | | | | (24302) ~ (all_52_1 = e1)
% 176.72/27.51 | | | | | | | | | | | | | | | | | | | | | | |
% 176.72/27.51 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (630), (24298) imply:
% 176.72/27.51 | | | | | | | | | | | | | | | | | | | | | | | (24303) ~ (all_52_3 = e1)
% 176.72/27.51 | | | | | | | | | | | | | | | | | | | | | | |
% 176.72/27.51 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (24303) implies:
% 176.72/27.51 | | | | | | | | | | | | | | | | | | | | | | | (24304) ~ (all_52_3 = e1)
% 176.72/27.51 | | | | | | | | | | | | | | | | | | | | | | |
% 176.72/27.51 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (633), (24300) imply:
% 176.72/27.51 | | | | | | | | | | | | | | | | | | | | | | | (24305) ~ (all_52_3 = e3)
% 176.72/27.51 | | | | | | | | | | | | | | | | | | | | | | |
% 176.72/27.51 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (714), (24298) imply:
% 176.72/27.51 | | | | | | | | | | | | | | | | | | | | | | | (24306) op(e3, e1) = unit
% 176.72/27.51 | | | | | | | | | | | | | | | | | | | | | | |
% 176.72/27.51 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (50), (148), (150), (158), (163), (231),
% 176.72/27.51 | | | | | | | | | | | | | | | | | | | | | | | (475), (481), (536), (539), (632), (731), (765),
% 176.72/27.51 | | | | | | | | | | | | | | | | | | | | | | | (21512), (21521), (24148), (24270), (24276),
% 176.72/27.51 | | | | | | | | | | | | | | | | | | | | | | | (24281), (24286), (24290), (24302), (24304),
% 176.72/27.51 | | | | | | | | | | | | | | | | | | | | | | | (24306) are inconsistent by sub-proof #14.
% 176.72/27.51 | | | | | | | | | | | | | | | | | | | | | | |
% 176.72/27.51 | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.72/27.51 | | | | | | | | | | | | | | | | | | | | | |
% 176.72/27.51 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.72/27.51 | | | | | | | | | | | | | | | | | | | | | |
% 176.72/27.51 | | | | | | | | | | | | | | | | | | | | | | (24307) all_58_1 = e3
% 176.72/27.51 | | | | | | | | | | | | | | | | | | | | | |
% 176.72/27.51 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (481), (24290), (24307) are inconsistent by
% 176.72/27.51 | | | | | | | | | | | | | | | | | | | | | | sub-proof #511.
% 176.72/27.51 | | | | | | | | | | | | | | | | | | | | | |
% 176.72/27.51 | | | | | | | | | | | | | | | | | | | | | End of split
% 176.72/27.51 | | | | | | | | | | | | | | | | | | | | |
% 176.72/27.51 | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.72/27.51 | | | | | | | | | | | | | | | | | | | | |
% 176.72/27.51 | | | | | | | | | | | | | | | | | | | | | (24308) all_58_1 = e3
% 176.72/27.51 | | | | | | | | | | | | | | | | | | | | | (24309) all_58_0 = e2
% 176.72/27.51 | | | | | | | | | | | | | | | | | | | | |
% 176.72/27.51 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (484), (24309) imply:
% 176.72/27.51 | | | | | | | | | | | | | | | | | | | | | (24310) all_52_0 = e2
% 176.72/27.51 | | | | | | | | | | | | | | | | | | | | |
% 176.72/27.51 | | | | | | | | | | | | | | | | | | | | | SIMP: (24310) implies:
% 176.72/27.51 | | | | | | | | | | | | | | | | | | | | | (24311) all_52_0 = e2
% 176.72/27.51 | | | | | | | | | | | | | | | | | | | | |
% 176.72/27.51 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (481), (24308) imply:
% 176.72/27.51 | | | | | | | | | | | | | | | | | | | | | (24312) all_52_1 = e3
% 176.72/27.51 | | | | | | | | | | | | | | | | | | | | |
% 176.72/27.51 | | | | | | | | | | | | | | | | | | | | | SIMP: (24312) implies:
% 176.72/27.51 | | | | | | | | | | | | | | | | | | | | | (24313) all_52_1 = e3
% 176.72/27.51 | | | | | | | | | | | | | | | | | | | | |
% 176.72/27.51 | | | | | | | | | | | | | | | | | | | | | REDUCE: (629), (24311) imply:
% 176.72/27.51 | | | | | | | | | | | | | | | | | | | | | (24314) ~ (all_52_2 = e2)
% 176.72/27.51 | | | | | | | | | | | | | | | | | | | | |
% 176.72/27.51 | | | | | | | | | | | | | | | | | | | | | SIMP: (24314) implies:
% 176.72/27.51 | | | | | | | | | | | | | | | | | | | | | (24315) ~ (all_52_2 = e2)
% 176.72/27.51 | | | | | | | | | | | | | | | | | | | | |
% 176.72/27.51 | | | | | | | | | | | | | | | | | | | | | REDUCE: (631), (24313) imply:
% 176.72/27.51 | | | | | | | | | | | | | | | | | | | | | (24316) ~ (all_52_2 = e3)
% 176.72/27.51 | | | | | | | | | | | | | | | | | | | | |
% 176.72/27.51 | | | | | | | | | | | | | | | | | | | | | SIMP: (24316) implies:
% 176.72/27.51 | | | | | | | | | | | | | | | | | | | | | (24317) ~ (all_52_2 = e3)
% 176.72/27.51 | | | | | | | | | | | | | | | | | | | | |
% 176.72/27.51 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (50), (149), (538), (748), (21466), (21765),
% 176.72/27.51 | | | | | | | | | | | | | | | | | | | | | (24284), (24315), (24317) are inconsistent by
% 176.72/27.51 | | | | | | | | | | | | | | | | | | | | | sub-proof #54.
% 176.72/27.51 | | | | | | | | | | | | | | | | | | | | |
% 176.72/27.51 | | | | | | | | | | | | | | | | | | | | End of split
% 176.72/27.51 | | | | | | | | | | | | | | | | | | | |
% 176.72/27.51 | | | | | | | | | | | | | | | | | | | Case 2:
% 176.72/27.51 | | | | | | | | | | | | | | | | | | | |
% 176.72/27.51 | | | | | | | | | | | | | | | | | | | | (24318) all_58_3 = e3
% 176.72/27.51 | | | | | | | | | | | | | | | | | | | |
% 176.72/27.51 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (475), (24286), (24318) are inconsistent by
% 176.72/27.51 | | | | | | | | | | | | | | | | | | | | sub-proof #509.
% 176.72/27.51 | | | | | | | | | | | | | | | | | | | |
% 176.72/27.51 | | | | | | | | | | | | | | | | | | | End of split
% 176.72/27.51 | | | | | | | | | | | | | | | | | | |
% 176.72/27.51 | | | | | | | | | | | | | | | | | | Case 2:
% 176.72/27.51 | | | | | | | | | | | | | | | | | | |
% 176.72/27.51 | | | | | | | | | | | | | | | | | | | (24319) all_58_3 = e3
% 176.72/27.51 | | | | | | | | | | | | | | | | | | | (24320) all_58_0 = e0
% 176.72/27.51 | | | | | | | | | | | | | | | | | | |
% 176.72/27.51 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (484), (24320) imply:
% 176.72/27.51 | | | | | | | | | | | | | | | | | | | (24321) all_52_0 = e0
% 176.72/27.51 | | | | | | | | | | | | | | | | | | |
% 176.72/27.51 | | | | | | | | | | | | | | | | | | | SIMP: (24321) implies:
% 176.72/27.51 | | | | | | | | | | | | | | | | | | | (24322) all_52_0 = e0
% 176.72/27.51 | | | | | | | | | | | | | | | | | | |
% 176.72/27.51 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (475), (24319) imply:
% 176.72/27.51 | | | | | | | | | | | | | | | | | | | (24323) all_52_3 = e3
% 176.72/27.51 | | | | | | | | | | | | | | | | | | |
% 176.72/27.51 | | | | | | | | | | | | | | | | | | | REDUCE: (629), (24322) imply:
% 176.72/27.51 | | | | | | | | | | | | | | | | | | | (24324) ~ (all_52_2 = e0)
% 176.72/27.51 | | | | | | | | | | | | | | | | | | |
% 176.72/27.51 | | | | | | | | | | | | | | | | | | | REDUCE: (633), (24323) imply:
% 176.72/27.51 | | | | | | | | | | | | | | | | | | | (24325) ~ (all_52_2 = e3)
% 176.72/27.51 | | | | | | | | | | | | | | | | | | |
% 176.72/27.51 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (50), (149), (161), (478), (481), (538),
% 176.72/27.51 | | | | | | | | | | | | | | | | | | | (731), (748), (21466), (21765), (24136), (24186),
% 176.72/27.51 | | | | | | | | | | | | | | | | | | | (24284), (24325) are inconsistent by sub-proof
% 176.72/27.51 | | | | | | | | | | | | | | | | | | | #12.
% 176.72/27.51 | | | | | | | | | | | | | | | | | | |
% 176.72/27.51 | | | | | | | | | | | | | | | | | | End of split
% 176.72/27.51 | | | | | | | | | | | | | | | | | |
% 176.72/27.51 | | | | | | | | | | | | | | | | | Case 2:
% 176.72/27.51 | | | | | | | | | | | | | | | | | |
% 176.72/27.51 | | | | | | | | | | | | | | | | | | (24326) all_58_3 = e1
% 176.72/27.51 | | | | | | | | | | | | | | | | | | (24327) all_58_2 = e0
% 176.72/27.51 | | | | | | | | | | | | | | | | | |
% 176.72/27.51 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (478), (24327) imply:
% 176.72/27.51 | | | | | | | | | | | | | | | | | | (24328) all_52_2 = e0
% 176.72/27.51 | | | | | | | | | | | | | | | | | |
% 176.72/27.51 | | | | | | | | | | | | | | | | | | SIMP: (24328) implies:
% 176.72/27.51 | | | | | | | | | | | | | | | | | | (24329) all_52_2 = e0
% 176.72/27.51 | | | | | | | | | | | | | | | | | |
% 176.72/27.51 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (475), (24326) imply:
% 176.72/27.51 | | | | | | | | | | | | | | | | | | (24330) all_52_3 = e1
% 176.72/27.51 | | | | | | | | | | | | | | | | | |
% 176.72/27.51 | | | | | | | | | | | | | | | | | | SIMP: (24330) implies:
% 176.72/27.51 | | | | | | | | | | | | | | | | | | (24331) all_52_3 = e1
% 176.72/27.51 | | | | | | | | | | | | | | | | | |
% 176.72/27.51 | | | | | | | | | | | | | | | | | | REDUCE: (748), (24329) imply:
% 176.72/27.51 | | | | | | | | | | | | | | | | | | (24332) op(e1, e0) = unit
% 176.72/27.51 | | | | | | | | | | | | | | | | | |
% 176.72/27.51 | | | | | | | | | | | | | | | | | | REDUCE: (765), (24331) imply:
% 176.72/27.51 | | | | | | | | | | | | | | | | | | (24333) op(e0, e1) = unit
% 176.72/27.51 | | | | | | | | | | | | | | | | | |
% 176.72/27.51 | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (50), (224), (227), (693), (24271), (24282),
% 176.72/27.51 | | | | | | | | | | | | | | | | | | (24332), (24333) are inconsistent by sub-proof
% 176.72/27.51 | | | | | | | | | | | | | | | | | | #49.
% 176.72/27.51 | | | | | | | | | | | | | | | | | |
% 176.72/27.51 | | | | | | | | | | | | | | | | | End of split
% 176.72/27.51 | | | | | | | | | | | | | | | | |
% 176.72/27.51 | | | | | | | | | | | | | | | | End of split
% 176.72/27.51 | | | | | | | | | | | | | | | |
% 176.72/27.51 | | | | | | | | | | | | | | | End of split
% 176.72/27.51 | | | | | | | | | | | | | | |
% 176.72/27.51 | | | | | | | | | | | | | | End of split
% 176.72/27.51 | | | | | | | | | | | | | |
% 176.72/27.51 | | | | | | | | | | | | | Case 2:
% 176.72/27.51 | | | | | | | | | | | | | |
% 176.72/27.51 | | | | | | | | | | | | | | (24334) all_42_2 = e1
% 176.72/27.51 | | | | | | | | | | | | | | (24335) op(e0, e1) = all_42_1 & $i(all_42_1) & ( ~
% 176.72/27.51 | | | | | | | | | | | | | | (all_42_1 = e3) | ( ~ (all_42_0 = e2) & op(e3,
% 176.72/27.51 | | | | | | | | | | | | | | e0) = all_42_0 & $i(all_42_0)))
% 176.72/27.51 | | | | | | | | | | | | | |
% 176.72/27.51 | | | | | | | | | | | | | | ALPHA: (24335) implies:
% 176.72/27.51 | | | | | | | | | | | | | | (24336) op(e0, e1) = all_42_1
% 176.72/27.51 | | | | | | | | | | | | | |
% 176.72/27.51 | | | | | | | | | | | | | | COMBINE_EQS: (532), (24334) imply:
% 176.72/27.51 | | | | | | | | | | | | | | (24337) all_20_2 = e1
% 176.72/27.51 | | | | | | | | | | | | | |
% 176.72/27.51 | | | | | | | | | | | | | | COMBINE_EQS: (582), (24337) imply:
% 176.72/27.51 | | | | | | | | | | | | | | (24338) all_50_2 = e1
% 176.72/27.51 | | | | | | | | | | | | | |
% 176.72/27.51 | | | | | | | | | | | | | | REDUCE: (696), (24337) imply:
% 176.72/27.51 | | | | | | | | | | | | | | (24339) op(e1, e1) = all_65_77
% 176.72/27.51 | | | | | | | | | | | | | |
% 176.72/27.51 | | | | | | | | | | | | | | REDUCE: (697), (24337) imply:
% 176.72/27.51 | | | | | | | | | | | | | | (24340) op(e1, e0) = all_65_78
% 176.72/27.51 | | | | | | | | | | | | | |
% 176.72/27.51 | | | | | | | | | | | | | | REDUCE: (713), (24337) imply:
% 176.72/27.51 | | | | | | | | | | | | | | (24341) op(e3, e1) = all_65_15
% 176.72/27.51 | | | | | | | | | | | | | |
% 176.72/27.51 | | | | | | | | | | | | | | REDUCE: (730), (24337) imply:
% 176.72/27.51 | | | | | | | | | | | | | | (24342) op(e2, e1) = all_65_31
% 176.72/27.51 | | | | | | | | | | | | | |
% 176.72/27.51 | | | | | | | | | | | | | | REDUCE: (747), (24337) imply:
% 176.72/27.51 | | | | | | | | | | | | | | (24343) op(e1, e1) = all_65_47
% 176.72/27.51 | | | | | | | | | | | | | |
% 176.72/27.51 | | | | | | | | | | | | | | REDUCE: (764), (24337) imply:
% 176.72/27.51 | | | | | | | | | | | | | | (24344) op(e0, e1) = all_65_78
% 176.72/27.51 | | | | | | | | | | | | | |
% 176.72/27.51 | | | | | | | | | | | | | | REDUCE: (76), (24337) imply:
% 176.72/27.51 | | | | | | | | | | | | | | (24345) op(e0, e0) = e1
% 176.72/27.51 | | | | | | | | | | | | | |
% 176.72/27.51 | | | | | | | | | | | | | | BETA: splitting (122) gives:
% 176.72/27.51 | | | | | | | | | | | | | |
% 176.72/27.51 | | | | | | | | | | | | | | Case 1:
% 176.72/27.51 | | | | | | | | | | | | | | |
% 176.72/27.51 | | | | | | | | | | | | | | | (24346) ~ (all_50_2 = e1)
% 176.72/27.51 | | | | | | | | | | | | | | |
% 176.72/27.51 | | | | | | | | | | | | | | | REDUCE: (24338), (24346) imply:
% 176.72/27.51 | | | | | | | | | | | | | | | (24347) $false
% 176.72/27.51 | | | | | | | | | | | | | | |
% 176.72/27.51 | | | | | | | | | | | | | | | CLOSE: (24347) is inconsistent.
% 176.72/27.51 | | | | | | | | | | | | | | |
% 176.72/27.51 | | | | | | | | | | | | | | Case 2:
% 176.72/27.51 | | | | | | | | | | | | | | |
% 176.72/27.51 | | | | | | | | | | | | | | | (24348) op(e0, e1) = all_50_1 & $i(all_50_1) & ( ~
% 176.72/27.51 | | | | | | | | | | | | | | | (all_50_1 = e2) | ( ~ (all_50_0 = e3) & op(e2,
% 176.72/27.51 | | | | | | | | | | | | | | | e0) = all_50_0 & $i(all_50_0)))
% 176.72/27.51 | | | | | | | | | | | | | | |
% 176.72/27.51 | | | | | | | | | | | | | | | ALPHA: (24348) implies:
% 176.72/27.51 | | | | | | | | | | | | | | | (24349) op(e0, e1) = all_50_1
% 176.72/27.51 | | | | | | | | | | | | | | |
% 176.72/27.51 | | | | | | | | | | | | | | | BETA: splitting (171) gives:
% 176.72/27.51 | | | | | | | | | | | | | | |
% 176.72/27.51 | | | | | | | | | | | | | | | Case 1:
% 176.72/27.51 | | | | | | | | | | | | | | | |
% 176.72/27.51 | | | | | | | | | | | | | | | | (24350) ( ~ (all_60_0 = e1) & op(e3, e3) = all_60_0 &
% 176.72/27.51 | | | | | | | | | | | | | | | | $i(all_60_0)) | ( ~ (all_60_1 = e1) & op(e2, e2)
% 176.72/27.51 | | | | | | | | | | | | | | | | = all_60_1 & $i(all_60_1))
% 176.72/27.51 | | | | | | | | | | | | | | | |
% 176.72/27.51 | | | | | | | | | | | | | | | | BETA: splitting (24350) gives:
% 176.72/27.51 | | | | | | | | | | | | | | | |
% 176.72/27.51 | | | | | | | | | | | | | | | | Case 1:
% 176.72/27.51 | | | | | | | | | | | | | | | | |
% 176.72/27.51 | | | | | | | | | | | | | | | | | (24351) ~ (all_60_0 = e1) & op(e3, e3) = all_60_0 &
% 176.72/27.51 | | | | | | | | | | | | | | | | | $i(all_60_0)
% 176.72/27.51 | | | | | | | | | | | | | | | | |
% 176.72/27.51 | | | | | | | | | | | | | | | | | REF_CLOSE: (50), (24237), (24351) are inconsistent by
% 176.72/27.51 | | | | | | | | | | | | | | | | | sub-proof #334.
% 176.72/27.51 | | | | | | | | | | | | | | | | |
% 176.72/27.51 | | | | | | | | | | | | | | | | Case 2:
% 176.72/27.51 | | | | | | | | | | | | | | | | |
% 176.72/27.51 | | | | | | | | | | | | | | | | | (24352) ~ (all_60_1 = e1) & op(e2, e2) = all_60_1 &
% 176.72/27.51 | | | | | | | | | | | | | | | | | $i(all_60_1)
% 176.72/27.51 | | | | | | | | | | | | | | | | |
% 176.72/27.51 | | | | | | | | | | | | | | | | | REF_CLOSE: (50), (24148), (24352) are inconsistent by
% 176.72/27.51 | | | | | | | | | | | | | | | | | sub-proof #333.
% 176.72/27.51 | | | | | | | | | | | | | | | | |
% 176.72/27.51 | | | | | | | | | | | | | | | | End of split
% 176.72/27.51 | | | | | | | | | | | | | | | |
% 176.72/27.51 | | | | | | | | | | | | | | | Case 2:
% 176.72/27.51 | | | | | | | | | | | | | | | |
% 176.72/27.51 | | | | | | | | | | | | | | | | (24353) ( ~ (all_60_2 = e1) & op(e1, e1) = all_60_2 &
% 176.72/27.51 | | | | | | | | | | | | | | | | $i(all_60_2)) | ( ~ (all_60_3 = e1) & op(e0, e0)
% 176.72/27.51 | | | | | | | | | | | | | | | | = all_60_3 & $i(all_60_3))
% 176.72/27.51 | | | | | | | | | | | | | | | |
% 176.72/27.51 | | | | | | | | | | | | | | | | BETA: splitting (24353) gives:
% 176.72/27.51 | | | | | | | | | | | | | | | |
% 176.72/27.51 | | | | | | | | | | | | | | | | Case 1:
% 176.72/27.51 | | | | | | | | | | | | | | | | |
% 176.72/27.51 | | | | | | | | | | | | | | | | | (24354) ~ (all_60_2 = e1) & op(e1, e1) = all_60_2 &
% 176.72/27.51 | | | | | | | | | | | | | | | | | $i(all_60_2)
% 176.72/27.51 | | | | | | | | | | | | | | | | |
% 176.72/27.51 | | | | | | | | | | | | | | | | | ALPHA: (24354) implies:
% 176.72/27.51 | | | | | | | | | | | | | | | | | (24355) op(e1, e1) = all_60_2
% 176.72/27.51 | | | | | | | | | | | | | | | | |
% 176.72/27.51 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_11, all_42_1, e1,
% 176.72/27.51 | | | | | | | | | | | | | | | | | e0, simplifying with (224), (24336) gives:
% 176.72/27.51 | | | | | | | | | | | | | | | | | (24356) all_61_11 = all_42_1
% 176.72/27.51 | | | | | | | | | | | | | | | | |
% 176.72/27.52 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_11, all_50_1, e1,
% 176.72/27.52 | | | | | | | | | | | | | | | | | e0, simplifying with (224), (24349) gives:
% 176.72/27.52 | | | | | | | | | | | | | | | | | (24357) all_61_11 = all_50_1
% 176.72/27.52 | | | | | | | | | | | | | | | | |
% 176.72/27.52 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_11, all_65_78, e1,
% 176.72/27.52 | | | | | | | | | | | | | | | | | e0, simplifying with (224), (24344) gives:
% 176.72/27.52 | | | | | | | | | | | | | | | | | (24358) all_65_78 = all_61_11
% 176.72/27.52 | | | | | | | | | | | | | | | | |
% 176.72/27.52 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_14, all_65_78, e0,
% 176.72/27.52 | | | | | | | | | | | | | | | | | e1, simplifying with (227), (24340) gives:
% 176.72/27.52 | | | | | | | | | | | | | | | | | (24359) all_65_78 = all_61_14
% 176.72/27.52 | | | | | | | | | | | | | | | | |
% 176.72/27.52 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e3, all_65_77, e1, e1,
% 176.72/27.52 | | | | | | | | | | | | | | | | | simplifying with (21466), (24339) gives:
% 176.72/27.52 | | | | | | | | | | | | | | | | | (24360) all_65_77 = e3
% 176.72/27.52 | | | | | | | | | | | | | | | | |
% 176.72/27.52 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_77, all_65_47, e1,
% 176.72/27.52 | | | | | | | | | | | | | | | | | e1, simplifying with (24339), (24343) gives:
% 176.72/27.52 | | | | | | | | | | | | | | | | | (24361) all_65_47 = all_65_77
% 176.72/27.52 | | | | | | | | | | | | | | | | |
% 176.72/27.52 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_60_2, all_65_47, e1,
% 176.72/27.52 | | | | | | | | | | | | | | | | | e1, simplifying with (24343), (24355) gives:
% 176.72/27.52 | | | | | | | | | | | | | | | | | (24362) all_65_47 = all_60_2
% 176.72/27.52 | | | | | | | | | | | | | | | | |
% 176.72/27.52 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_12_1, all_65_31, e1,
% 176.72/27.52 | | | | | | | | | | | | | | | | | e2, simplifying with (24136), (24342) gives:
% 176.72/27.52 | | | | | | | | | | | | | | | | | (24363) all_65_31 = all_12_1
% 176.72/27.52 | | | | | | | | | | | | | | | | |
% 176.72/27.52 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_4_1, all_65_15, e1,
% 176.72/27.52 | | | | | | | | | | | | | | | | | e3, simplifying with (21521), (24341) gives:
% 176.72/27.52 | | | | | | | | | | | | | | | | | (24364) all_65_15 = all_4_1
% 176.72/27.52 | | | | | | | | | | | | | | | | |
% 176.72/27.52 | | | | | | | | | | | | | | | | | COMBINE_EQS: (24361), (24362) imply:
% 176.72/27.52 | | | | | | | | | | | | | | | | | (24365) all_65_77 = all_60_2
% 176.72/27.52 | | | | | | | | | | | | | | | | |
% 176.72/27.52 | | | | | | | | | | | | | | | | | SIMP: (24365) implies:
% 176.74/27.52 | | | | | | | | | | | | | | | | | (24366) all_65_77 = all_60_2
% 176.74/27.52 | | | | | | | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | | | | | | | COMBINE_EQS: (24360), (24366) imply:
% 176.74/27.52 | | | | | | | | | | | | | | | | | (24367) all_60_2 = e3
% 176.74/27.52 | | | | | | | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | | | | | | | COMBINE_EQS: (24358), (24359) imply:
% 176.74/27.52 | | | | | | | | | | | | | | | | | (24368) all_61_11 = all_61_14
% 176.74/27.52 | | | | | | | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | | | | | | | SIMP: (24368) implies:
% 176.74/27.52 | | | | | | | | | | | | | | | | | (24369) all_61_11 = all_61_14
% 176.74/27.52 | | | | | | | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | | | | | | | COMBINE_EQS: (24357), (24369) imply:
% 176.74/27.52 | | | | | | | | | | | | | | | | | (24370) all_61_14 = all_50_1
% 176.74/27.52 | | | | | | | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | | | | | | | COMBINE_EQS: (24356), (24369) imply:
% 176.74/27.52 | | | | | | | | | | | | | | | | | (24371) all_61_14 = all_42_1
% 176.74/27.52 | | | | | | | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | | | | | | | COMBINE_EQS: (24370), (24371) imply:
% 176.74/27.52 | | | | | | | | | | | | | | | | | (24372) all_50_1 = all_42_1
% 176.74/27.52 | | | | | | | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | | | | | | | COMBINE_EQS: (24362), (24367) imply:
% 176.74/27.52 | | | | | | | | | | | | | | | | | (24373) all_65_47 = e3
% 176.74/27.52 | | | | | | | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | | | | | | | REDUCE: (177), (24371) imply:
% 176.74/27.52 | | | | | | | | | | | | | | | | | (24374) ~ (all_61_13 = all_42_1)
% 176.74/27.52 | | | | | | | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | | | | | | | REDUCE: (24188), (24356) imply:
% 176.74/27.52 | | | | | | | | | | | | | | | | | (24375) op(all_61_7, e2) = all_42_1
% 176.74/27.52 | | | | | | | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | | | | | | | REDUCE: (21518), (24356) imply:
% 176.74/27.52 | | | | | | | | | | | | | | | | | (24376) op(all_42_1, e1) = all_61_3
% 176.74/27.52 | | | | | | | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | | | | | | | REDUCE: (693), (24356) imply:
% 176.74/27.52 | | | | | | | | | | | | | | | | | (24377) op(all_42_1, e0) = all_65_71
% 176.74/27.52 | | | | | | | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | | | | | | | REDUCE: (665), (24363) imply:
% 176.74/27.52 | | | | | | | | | | | | | | | | | (24378) op(all_61_13, e0) = all_12_1
% 176.74/27.52 | | | | | | | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | | | | | | | REDUCE: (680), (24371) imply:
% 176.74/27.52 | | | | | | | | | | | | | | | | | (24379) op(all_42_1, e1) = all_65_46
% 176.74/27.52 | | | | | | | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | | | | | | | REDUCE: (681), (24371), (24373) imply:
% 176.74/27.52 | | | | | | | | | | | | | | | | | (24380) op(all_42_1, e0) = e3
% 176.74/27.52 | | | | | | | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | | | | | | | REDUCE: (712), (24356) imply:
% 176.74/27.52 | | | | | | | | | | | | | | | | | (24381) op(e3, all_42_1) = all_65_14
% 176.74/27.52 | | | | | | | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | | | | | | | REDUCE: (21540), (24371) imply:
% 176.74/27.52 | | | | | | | | | | | | | | | | | (24382) op(e3, all_42_1) = all_65_35
% 176.74/27.52 | | | | | | | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | | | | | | | REDUCE: (746), (24356) imply:
% 176.74/27.52 | | | | | | | | | | | | | | | | | (24383) op(e1, all_42_1) = all_65_46
% 176.74/27.52 | | | | | | | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | | | | | | | REDUCE: (21525), (24371) imply:
% 176.74/27.52 | | | | | | | | | | | | | | | | | (24384) op(e1, all_42_1) = all_61_12
% 176.74/27.52 | | | | | | | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | | | | | | | REDUCE: (227), (24371) imply:
% 176.74/27.52 | | | | | | | | | | | | | | | | | (24385) op(e1, e0) = all_42_1
% 176.74/27.52 | | | | | | | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_12, all_65_46,
% 176.74/27.52 | | | | | | | | | | | | | | | | | all_42_1, e1, simplifying with (24383), (24384)
% 176.74/27.52 | | | | | | | | | | | | | | | | | gives:
% 176.74/27.52 | | | | | | | | | | | | | | | | | (24386) all_65_46 = all_61_12
% 176.74/27.52 | | | | | | | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_35, all_65_14,
% 176.74/27.52 | | | | | | | | | | | | | | | | | all_42_1, e3, simplifying with (24381), (24382)
% 176.74/27.52 | | | | | | | | | | | | | | | | | gives:
% 176.74/27.52 | | | | | | | | | | | | | | | | | (24387) all_65_14 = all_65_35
% 176.74/27.52 | | | | | | | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e3, all_65_71, e0,
% 176.74/27.52 | | | | | | | | | | | | | | | | | all_42_1, simplifying with (24377), (24380) gives:
% 176.74/27.52 | | | | | | | | | | | | | | | | | (24388) all_65_71 = e3
% 176.74/27.52 | | | | | | | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_3, all_65_46, e1,
% 176.74/27.52 | | | | | | | | | | | | | | | | | all_42_1, simplifying with (24376), (24379) gives:
% 176.74/27.52 | | | | | | | | | | | | | | | | | (24389) all_65_46 = all_61_3
% 176.74/27.52 | | | | | | | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | | | | | | | COMBINE_EQS: (24386), (24389) imply:
% 176.74/27.52 | | | | | | | | | | | | | | | | | (24390) all_61_3 = all_61_12
% 176.74/27.52 | | | | | | | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | | | | | | | REDUCE: (21537), (24390) imply:
% 176.74/27.52 | | | | | | | | | | | | | | | | | (24391) op(all_61_12, e1) = all_65_65
% 176.74/27.52 | | | | | | | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | | | | | | | REDUCE: (648), (24387) imply:
% 176.74/27.52 | | | | | | | | | | | | | | | | | (24392) op(all_61_12, e1) = all_65_35
% 176.74/27.52 | | | | | | | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_65, all_65_35, e1,
% 176.74/27.52 | | | | | | | | | | | | | | | | | all_61_12, simplifying with (24391), (24392)
% 176.74/27.52 | | | | | | | | | | | | | | | | | gives:
% 176.74/27.52 | | | | | | | | | | | | | | | | | (24393) all_65_35 = all_65_65
% 176.74/27.52 | | | | | | | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | | | | | | | REDUCE: (21512), (24393) imply:
% 176.74/27.52 | | | | | | | | | | | | | | | | | (24394) op(all_4_1, e0) = all_65_65
% 176.74/27.52 | | | | | | | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | | | | | | | BETA: splitting (157) gives:
% 176.74/27.52 | | | | | | | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | | | | | | | Case 1:
% 176.74/27.52 | | | | | | | | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | | | | | | | | (24395) ~ (all_58_3 = e1)
% 176.74/27.52 | | | | | | | | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | | | | | | | | REDUCE: (475), (24395) imply:
% 176.74/27.52 | | | | | | | | | | | | | | | | | | (24396) ~ (all_52_3 = e1)
% 176.74/27.52 | | | | | | | | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | | | | | | | | BETA: splitting (160) gives:
% 176.74/27.52 | | | | | | | | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | | | | | | | | Case 1:
% 176.74/27.52 | | | | | | | | | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | | | | | | | | | (24397) ~ (all_58_2 = e0)
% 176.74/27.52 | | | | | | | | | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | | | | | | | | | REDUCE: (478), (24397) imply:
% 176.74/27.52 | | | | | | | | | | | | | | | | | | | (24398) ~ (all_52_2 = e0)
% 176.74/27.52 | | | | | | | | | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | | | | | | | | | BETA: splitting (161) gives:
% 176.74/27.52 | | | | | | | | | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | | | | | | | | | Case 1:
% 176.74/27.52 | | | | | | | | | | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | | | | | | | | | | (24399) ~ (all_58_2 = e2)
% 176.74/27.52 | | | | | | | | | | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | | | | | | | | | | REDUCE: (478), (24399) imply:
% 176.74/27.52 | | | | | | | | | | | | | | | | | | | | (24400) ~ (all_52_2 = e2)
% 176.74/27.52 | | | | | | | | | | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | | | | | | | | | | BETA: splitting (162) gives:
% 176.74/27.52 | | | | | | | | | | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.74/27.52 | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | | | | | | | | | | | (24401) ~ (all_58_2 = e3)
% 176.74/27.52 | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | | | | | | | | | | | REDUCE: (478), (24401) imply:
% 176.74/27.52 | | | | | | | | | | | | | | | | | | | | | (24402) ~ (all_52_2 = e3)
% 176.74/27.52 | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (50), (149), (538), (748), (21466), (21765),
% 176.74/27.52 | | | | | | | | | | | | | | | | | | | | | (24398), (24400), (24402) are inconsistent by
% 176.74/27.52 | | | | | | | | | | | | | | | | | | | | | sub-proof #54.
% 176.74/27.52 | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.74/27.52 | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | | | | | | | | | | | (24403) all_58_2 = e3
% 176.74/27.52 | | | | | | | | | | | | | | | | | | | | | (24404) all_58_0 = e1
% 176.74/27.52 | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (484), (24404) imply:
% 176.74/27.52 | | | | | | | | | | | | | | | | | | | | | (24405) all_52_0 = e1
% 176.74/27.52 | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | | | | | | | | | | | SIMP: (24405) implies:
% 176.74/27.52 | | | | | | | | | | | | | | | | | | | | | (24406) all_52_0 = e1
% 176.74/27.52 | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (478), (24403) imply:
% 176.74/27.52 | | | | | | | | | | | | | | | | | | | | | (24407) all_52_2 = e3
% 176.74/27.52 | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | | | | | | | | | | | REDUCE: (628), (24406) imply:
% 176.74/27.52 | | | | | | | | | | | | | | | | | | | | | (24408) ~ (all_52_1 = e1)
% 176.74/27.52 | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | | | | | | | | | | | SIMP: (24408) implies:
% 176.74/27.52 | | | | | | | | | | | | | | | | | | | | | (24409) ~ (all_52_1 = e1)
% 176.74/27.52 | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | | | | | | | | | | | REDUCE: (631), (24407) imply:
% 176.74/27.52 | | | | | | | | | | | | | | | | | | | | | (24410) ~ (all_52_1 = e3)
% 176.74/27.52 | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | | | | | | | | | | | REDUCE: (714), (24406) imply:
% 176.74/27.52 | | | | | | | | | | | | | | | | | | | | | (24411) op(e3, e1) = unit
% 176.74/27.52 | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_4_1, unit, e1, e3,
% 176.74/27.52 | | | | | | | | | | | | | | | | | | | | | simplifying with (21521), (24411) gives:
% 176.74/27.52 | | | | | | | | | | | | | | | | | | | | | (24412) all_4_1 = unit
% 176.74/27.52 | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | | | | | | | | | | | REDUCE: (24234), (24412) imply:
% 176.74/27.52 | | | | | | | | | | | | | | | | | | | | | (24413) ~ (unit = e1)
% 176.74/27.52 | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | | | | | | | | | | | REDUCE: (24219), (24412) imply:
% 176.74/27.52 | | | | | | | | | | | | | | | | | | | | | (24414) op(unit, e2) = all_65_36
% 176.74/27.52 | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | | | | | | | | | | | REDUCE: (24394), (24412) imply:
% 176.74/27.52 | | | | | | | | | | | | | | | | | | | | | (24415) op(unit, e0) = all_65_65
% 176.74/27.52 | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e0, all_65_65, e0, unit,
% 176.74/27.52 | | | | | | | | | | | | | | | | | | | | | simplifying with (7), (24415) gives:
% 176.74/27.52 | | | | | | | | | | | | | | | | | | | | | (24416) all_65_65 = e0
% 176.74/27.52 | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e2, all_65_36, e2, unit,
% 176.74/27.52 | | | | | | | | | | | | | | | | | | | | | simplifying with (9), (24414) gives:
% 176.74/27.52 | | | | | | | | | | | | | | | | | | | | | (24417) all_65_36 = e2
% 176.74/27.52 | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (158) gives:
% 176.74/27.52 | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.74/27.52 | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | | | | | | | | | | | | (24418) ~ (all_58_3 = e2)
% 176.74/27.52 | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (475), (24418) imply:
% 176.74/27.52 | | | | | | | | | | | | | | | | | | | | | | (24419) ~ (all_52_3 = e2)
% 176.74/27.52 | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (163) gives:
% 176.74/27.52 | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.74/27.52 | | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | | | | | | | | | | | | | (24420) ~ (all_58_1 = e0)
% 176.74/27.52 | | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (481), (24420) imply:
% 176.74/27.52 | | | | | | | | | | | | | | | | | | | | | | | (24421) ~ (all_52_1 = e0)
% 176.74/27.52 | | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (150) gives:
% 176.74/27.52 | | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.74/27.52 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | | | | | | | | | | | | | | (24422) all_56_1 = e3
% 176.74/27.52 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (536), (24410), (24422) are inconsistent by
% 176.74/27.52 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #455.
% 176.74/27.52 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.74/27.52 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | | | | | | | | | | | | | | (24423) all_56_1 = e2 | all_56_1 = e1 | all_56_1 = e0
% 176.74/27.52 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (24423) gives:
% 176.74/27.52 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.74/27.52 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | (24424) all_56_1 = e2
% 176.74/27.52 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (536), (24424) imply:
% 176.74/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | (24425) all_52_1 = e2
% 176.74/27.52 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (24425) implies:
% 176.74/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | (24426) all_52_1 = e2
% 176.74/27.52 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (731), (24426) imply:
% 176.74/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | (24427) op(e2, e2) = unit
% 176.74/27.52 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e1, unit, e2, e2,
% 176.74/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (24148), (24427) gives:
% 176.74/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | (24428) unit = e1
% 176.74/27.52 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (24413), (24428) imply:
% 176.74/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | (24429) $false
% 176.74/27.52 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (24429) is inconsistent.
% 176.74/27.52 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.74/27.52 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | (24430) all_56_1 = e1 | all_56_1 = e0
% 176.74/27.52 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (536), (24409), (24421), (24430) are inconsistent
% 176.74/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #454.
% 176.74/27.52 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.74/27.52 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.74/27.52 | | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.74/27.52 | | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | | | | | | | | | | | | | (24431) all_58_3 = e2
% 176.74/27.52 | | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (475), (24419), (24431) are inconsistent by
% 176.74/27.52 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #459.
% 176.74/27.52 | | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.74/27.52 | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.74/27.52 | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | | | | | | | | | | | | (24432) all_58_3 = e2
% 176.74/27.52 | | | | | | | | | | | | | | | | | | | | | | (24433) all_58_1 = e0
% 176.74/27.52 | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (481), (24433) imply:
% 176.74/27.52 | | | | | | | | | | | | | | | | | | | | | | (24434) all_52_1 = e0
% 176.74/27.52 | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | | | | | | | | | | | | SIMP: (24434) implies:
% 176.74/27.52 | | | | | | | | | | | | | | | | | | | | | | (24435) all_52_1 = e0
% 176.74/27.52 | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9), (50), (225), (231), (475), (663), (689),
% 176.74/27.52 | | | | | | | | | | | | | | | | | | | | | | (731), (765), (21766), (24141), (24181), (24374),
% 176.74/27.52 | | | | | | | | | | | | | | | | | | | | | | (24375), (24378), (24432), (24435) are
% 176.74/27.52 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #317.
% 176.74/27.52 | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | | | | | | | | | | | End of split
% 176.74/27.52 | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | | | | | | | | | | End of split
% 176.74/27.52 | | | | | | | | | | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | | | | | | | | | Case 2:
% 176.74/27.52 | | | | | | | | | | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | | | | | | | | | | (24436) all_58_1 = e1
% 176.74/27.52 | | | | | | | | | | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (23), (50), (481), (731), (24136), (24186),
% 176.74/27.52 | | | | | | | | | | | | | | | | | | | | (24436) are inconsistent by sub-proof #11.
% 176.74/27.52 | | | | | | | | | | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | | | | | | | | | End of split
% 176.74/27.52 | | | | | | | | | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | | | | | | | | Case 2:
% 176.74/27.52 | | | | | | | | | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | | | | | | | | | (24437) all_58_3 = e1
% 176.74/27.52 | | | | | | | | | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (475), (24396), (24437) are inconsistent by
% 176.74/27.52 | | | | | | | | | | | | | | | | | | | sub-proof #460.
% 176.74/27.52 | | | | | | | | | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | | | | | | | | End of split
% 176.74/27.52 | | | | | | | | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | | | | | | | Case 2:
% 176.74/27.52 | | | | | | | | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | | | | | | | | (24438) all_58_2 = e0
% 176.74/27.52 | | | | | | | | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (478), (24438) imply:
% 176.74/27.52 | | | | | | | | | | | | | | | | | | (24439) all_52_2 = e0
% 176.74/27.52 | | | | | | | | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | | | | | | | | SIMP: (24439) implies:
% 176.74/27.52 | | | | | | | | | | | | | | | | | | (24440) all_52_2 = e0
% 176.74/27.52 | | | | | | | | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | | | | | | | | REDUCE: (748), (24440) imply:
% 176.74/27.52 | | | | | | | | | | | | | | | | | | (24441) op(e1, e0) = unit
% 176.74/27.52 | | | | | | | | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (21), (50), (24380), (24385), (24441) are
% 176.74/27.52 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #38.
% 176.74/27.52 | | | | | | | | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | | | | | | | End of split
% 176.74/27.52 | | | | | | | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | | | | | | Case 2:
% 176.74/27.52 | | | | | | | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | | | | | | | (24442) ~ (all_60_3 = e1) & op(e0, e0) = all_60_3 &
% 176.74/27.52 | | | | | | | | | | | | | | | | | $i(all_60_3)
% 176.74/27.52 | | | | | | | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | | | | | | | REF_CLOSE: (50), (24345), (24442) are inconsistent by
% 176.74/27.52 | | | | | | | | | | | | | | | | | sub-proof #299.
% 176.74/27.52 | | | | | | | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | | | | | | End of split
% 176.74/27.52 | | | | | | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | | | | | End of split
% 176.74/27.52 | | | | | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | | | | End of split
% 176.74/27.52 | | | | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | | | End of split
% 176.74/27.52 | | | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | | End of split
% 176.74/27.52 | | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | End of split
% 176.74/27.52 | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | Case 2:
% 176.74/27.52 | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | (24443) all_36_2 = e0
% 176.74/27.52 | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | COMBINE_EQS: (557), (24443) imply:
% 176.74/27.52 | | | | | | | | | | | (24444) all_14_2 = e0
% 176.74/27.52 | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | SIMP: (24444) implies:
% 176.74/27.52 | | | | | | | | | | | (24445) all_14_2 = e0
% 176.74/27.52 | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | REDUCE: (599), (24445) imply:
% 176.74/27.52 | | | | | | | | | | | (24446) ~ (all_61_4 = e0)
% 176.74/27.52 | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | REDUCE: (24218), (24445) imply:
% 176.74/27.52 | | | | | | | | | | | (24447) op(e0, e2) = all_65_16
% 176.74/27.52 | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | REDUCE: (21538), (24445) imply:
% 176.74/27.52 | | | | | | | | | | | (24448) op(e0, e1) = all_65_32
% 176.74/27.52 | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | REDUCE: (637), (24445) imply:
% 176.74/27.52 | | | | | | | | | | | (24449) op(e0, e0) = all_65_3
% 176.74/27.52 | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | REDUCE: (715), (24445) imply:
% 176.74/27.52 | | | | | | | | | | | (24450) op(e2, e0) = all_65_16
% 176.74/27.52 | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | REDUCE: (732), (24445) imply:
% 176.74/27.52 | | | | | | | | | | | (24451) op(e1, e0) = all_65_32
% 176.74/27.52 | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | REDUCE: (749), (24445) imply:
% 176.74/27.52 | | | | | | | | | | | (24452) op(e0, e0) = all_65_49
% 176.74/27.52 | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | GROUND_INST: instantiating (50) with all_20_2, all_65_3, e0,
% 176.74/27.52 | | | | | | | | | | | e0, simplifying with (76), (24449) gives:
% 176.74/27.52 | | | | | | | | | | | (24453) all_65_3 = all_20_2
% 176.74/27.52 | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_49, all_65_3, e0,
% 176.74/27.52 | | | | | | | | | | | e0, simplifying with (24449), (24452) gives:
% 176.74/27.52 | | | | | | | | | | | (24454) all_65_3 = all_65_49
% 176.74/27.52 | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_11, all_65_32, e1,
% 176.74/27.52 | | | | | | | | | | | e0, simplifying with (224), (24448) gives:
% 176.74/27.52 | | | | | | | | | | | (24455) all_65_32 = all_61_11
% 176.74/27.52 | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_7, all_65_16, e2,
% 176.74/27.52 | | | | | | | | | | | e0, simplifying with (225), (24447) gives:
% 176.74/27.52 | | | | | | | | | | | (24456) all_65_16 = all_61_7
% 176.74/27.52 | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_14, all_65_32, e0,
% 176.74/27.52 | | | | | | | | | | | e1, simplifying with (227), (24451) gives:
% 176.74/27.52 | | | | | | | | | | | (24457) all_65_32 = all_61_14
% 176.74/27.52 | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_13, all_65_16, e0,
% 176.74/27.52 | | | | | | | | | | | e2, simplifying with (231), (24450) gives:
% 176.74/27.52 | | | | | | | | | | | (24458) all_65_16 = all_61_13
% 176.74/27.52 | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | COMBINE_EQS: (24453), (24454) imply:
% 176.74/27.52 | | | | | | | | | | | (24459) all_65_49 = all_20_2
% 176.74/27.52 | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | COMBINE_EQS: (24456), (24458) imply:
% 176.74/27.52 | | | | | | | | | | | (24460) all_61_7 = all_61_13
% 176.74/27.52 | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | SIMP: (24460) implies:
% 176.74/27.52 | | | | | | | | | | | (24461) all_61_7 = all_61_13
% 176.74/27.52 | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | COMBINE_EQS: (24455), (24457) imply:
% 176.74/27.52 | | | | | | | | | | | (24462) all_61_11 = all_61_14
% 176.74/27.52 | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | REDUCE: (24188), (24461), (24462) imply:
% 176.74/27.52 | | | | | | | | | | | (24463) op(all_61_13, e2) = all_61_14
% 176.74/27.52 | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | REDUCE: (689), (24461) imply:
% 176.74/27.52 | | | | | | | | | | | (24464) op(all_61_13, e0) = all_65_63
% 176.74/27.52 | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | REDUCE: (693), (24462) imply:
% 176.74/27.52 | | | | | | | | | | | (24465) op(all_61_14, e0) = all_65_71
% 176.74/27.52 | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | REDUCE: (762), (24461) imply:
% 176.74/27.52 | | | | | | | | | | | (24466) op(e0, all_61_13) = all_65_75
% 176.74/27.52 | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | REDUCE: (763), (24462) imply:
% 176.74/27.52 | | | | | | | | | | | (24467) op(e0, all_61_14) = all_65_77
% 176.74/27.52 | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_71, all_65_77,
% 176.74/27.52 | | | | | | | | | | | all_61_14, e0, simplifying with (760), (24467)
% 176.74/27.52 | | | | | | | | | | | gives:
% 176.74/27.52 | | | | | | | | | | | (24468) all_65_71 = all_65_77
% 176.74/27.52 | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_63, all_65_75,
% 176.74/27.52 | | | | | | | | | | | all_61_13, e0, simplifying with (756), (24466)
% 176.74/27.52 | | | | | | | | | | | gives:
% 176.74/27.52 | | | | | | | | | | | (24469) all_65_63 = all_65_75
% 176.74/27.52 | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_47, all_65_71, e0,
% 176.74/27.52 | | | | | | | | | | | all_61_14, simplifying with (681), (24465) gives:
% 176.74/27.52 | | | | | | | | | | | (24470) all_65_47 = all_65_71
% 176.74/27.52 | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_31, all_65_63, e0,
% 176.74/27.52 | | | | | | | | | | | all_61_13, simplifying with (665), (24464) gives:
% 176.74/27.52 | | | | | | | | | | | (24471) all_65_31 = all_65_63
% 176.74/27.52 | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_29, all_61_14, e2,
% 176.74/27.52 | | | | | | | | | | | all_61_13, simplifying with (663), (24463) gives:
% 176.74/27.52 | | | | | | | | | | | (24472) all_65_29 = all_61_14
% 176.74/27.52 | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | COMBINE_EQS: (24468), (24470) imply:
% 176.74/27.52 | | | | | | | | | | | (24473) all_65_47 = all_65_77
% 176.74/27.52 | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | COMBINE_EQS: (24469), (24471) imply:
% 176.74/27.52 | | | | | | | | | | | (24474) all_65_31 = all_65_75
% 176.74/27.52 | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | REDUCE: (24464), (24469) imply:
% 176.74/27.52 | | | | | | | | | | | (24475) op(all_61_13, e0) = all_65_75
% 176.74/27.52 | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | REDUCE: (24465), (24468) imply:
% 176.74/27.52 | | | | | | | | | | | (24476) op(all_61_14, e0) = all_65_77
% 176.74/27.52 | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | REDUCE: (730), (24474) imply:
% 176.74/27.52 | | | | | | | | | | | (24477) op(e2, all_20_2) = all_65_75
% 176.74/27.52 | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | REDUCE: (747), (24473) imply:
% 176.74/27.52 | | | | | | | | | | | (24478) op(e1, all_20_2) = all_65_77
% 176.74/27.52 | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | BETA: splitting (110) gives:
% 176.74/27.52 | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | Case 1:
% 176.74/27.52 | | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | | (24479) ~ (all_42_2 = e1)
% 176.74/27.52 | | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | | REDUCE: (532), (24479) imply:
% 176.74/27.52 | | | | | | | | | | | | (24480) ~ (all_20_2 = e1)
% 176.74/27.52 | | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | | BETA: splitting (256) gives:
% 176.74/27.52 | | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | | Case 1:
% 176.74/27.52 | | | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | | | (24481) all_63_15 = e3
% 176.74/27.52 | | | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | | | REF_CLOSE: (422), (24223), (24481) are inconsistent by
% 176.74/27.52 | | | | | | | | | | | | | sub-proof #501.
% 176.74/27.52 | | | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | | Case 2:
% 176.74/27.52 | | | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | | | (24482) all_63_15 = e2 | all_63_15 = e1 | all_63_15 = e0
% 176.74/27.52 | | | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | | | BETA: splitting (24482) gives:
% 176.74/27.52 | | | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | | | Case 1:
% 176.74/27.52 | | | | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | | | | (24483) all_63_15 = e2
% 176.74/27.52 | | | | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | | | | REF_CLOSE: (422), (24221), (24483) are inconsistent by
% 176.74/27.52 | | | | | | | | | | | | | | sub-proof #500.
% 176.74/27.52 | | | | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | | | Case 2:
% 176.74/27.52 | | | | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | | | | (24484) all_63_15 = e1 | all_63_15 = e0
% 176.74/27.52 | | | | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | | | | BETA: splitting (24484) gives:
% 176.74/27.52 | | | | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | | | | Case 1:
% 176.74/27.52 | | | | | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | | | | | (24485) all_63_15 = e1
% 176.74/27.52 | | | | | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | | | | | REF_CLOSE: (422), (24480), (24485) are inconsistent by
% 176.74/27.52 | | | | | | | | | | | | | | | sub-proof #499.
% 176.74/27.52 | | | | | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | | | | Case 2:
% 176.74/27.52 | | | | | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | | | | | (24486) all_63_15 = e0
% 176.74/27.52 | | | | | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | | | | | COMBINE_EQS: (422), (24486) imply:
% 176.74/27.52 | | | | | | | | | | | | | | | (24487) all_20_2 = e0
% 176.74/27.52 | | | | | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | | | | | SIMP: (24487) implies:
% 176.74/27.52 | | | | | | | | | | | | | | | (24488) all_20_2 = e0
% 176.74/27.52 | | | | | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | | | | | REDUCE: (626), (24488) imply:
% 176.74/27.52 | | | | | | | | | | | | | | | (24489) ~ (all_61_13 = e0)
% 176.74/27.52 | | | | | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | | | | | REDUCE: (627), (24488) imply:
% 176.74/27.52 | | | | | | | | | | | | | | | (24490) ~ (all_61_14 = e0)
% 176.74/27.52 | | | | | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | | | | | REDUCE: (24477), (24488) imply:
% 176.74/27.52 | | | | | | | | | | | | | | | (24491) op(e2, e0) = all_65_75
% 176.74/27.52 | | | | | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | | | | | REDUCE: (24478), (24488) imply:
% 176.74/27.52 | | | | | | | | | | | | | | | (24492) op(e1, e0) = all_65_77
% 176.74/27.52 | | | | | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | | | | | REDUCE: (764), (24488) imply:
% 176.74/27.52 | | | | | | | | | | | | | | | (24493) op(e0, e0) = all_65_78
% 176.74/27.52 | | | | | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | | | | | REDUCE: (76), (24488) imply:
% 176.74/27.52 | | | | | | | | | | | | | | | (24494) op(e0, e0) = e0
% 176.74/27.52 | | | | | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e0, all_65_78, e0, e0,
% 176.74/27.52 | | | | | | | | | | | | | | | simplifying with (24493), (24494) gives:
% 176.74/27.52 | | | | | | | | | | | | | | | (24495) all_65_78 = e0
% 176.74/27.52 | | | | | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_14, all_65_77, e0,
% 176.74/27.52 | | | | | | | | | | | | | | | e1, simplifying with (227), (24492) gives:
% 176.74/27.52 | | | | | | | | | | | | | | | (24496) all_65_77 = all_61_14
% 176.74/27.52 | | | | | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_13, all_65_75, e0,
% 176.74/27.52 | | | | | | | | | | | | | | | e2, simplifying with (231), (24491) gives:
% 176.74/27.52 | | | | | | | | | | | | | | | (24497) all_65_75 = all_61_13
% 176.74/27.52 | | | | | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | | | | | REDUCE: (24475), (24497) imply:
% 176.74/27.52 | | | | | | | | | | | | | | | (24498) op(all_61_13, e0) = all_61_13
% 176.74/27.52 | | | | | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | | | | | REDUCE: (24476), (24496) imply:
% 176.74/27.52 | | | | | | | | | | | | | | | (24499) op(all_61_14, e0) = all_61_14
% 176.74/27.52 | | | | | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | | | | | BETA: splitting (162) gives:
% 176.74/27.52 | | | | | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | | | | | Case 1:
% 176.74/27.52 | | | | | | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | | | | | | (24500) ~ (all_58_2 = e3)
% 176.74/27.52 | | | | | | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | | | | | | REDUCE: (478), (24500) imply:
% 176.74/27.52 | | | | | | | | | | | | | | | | (24501) ~ (all_52_2 = e3)
% 176.74/27.52 | | | | | | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | | | | | | BETA: splitting (157) gives:
% 176.74/27.52 | | | | | | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | | | | | | Case 1:
% 176.74/27.52 | | | | | | | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | | | | | | | (24502) ~ (all_58_3 = e1)
% 176.74/27.52 | | | | | | | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | | | | | | | REDUCE: (475), (24502) imply:
% 176.74/27.52 | | | | | | | | | | | | | | | | | (24503) ~ (all_52_3 = e1)
% 176.74/27.52 | | | | | | | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | | | | | | | BETA: splitting (160) gives:
% 176.74/27.52 | | | | | | | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | | | | | | | Case 1:
% 176.74/27.52 | | | | | | | | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | | | | | | | | (24504) ~ (all_58_2 = e0)
% 176.74/27.52 | | | | | | | | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | | | | | | | | REDUCE: (478), (24504) imply:
% 176.74/27.52 | | | | | | | | | | | | | | | | | | (24505) ~ (all_52_2 = e0)
% 176.74/27.52 | | | | | | | | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (50), (149), (161), (478), (481), (538),
% 176.74/27.52 | | | | | | | | | | | | | | | | | | (731), (748), (21466), (21765), (24136), (24186),
% 176.74/27.52 | | | | | | | | | | | | | | | | | | (24501), (24505) are inconsistent by sub-proof
% 176.74/27.52 | | | | | | | | | | | | | | | | | | #12.
% 176.74/27.52 | | | | | | | | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | | | | | | | Case 2:
% 176.74/27.52 | | | | | | | | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | | | | | | | | (24506) all_58_3 = e1
% 176.74/27.52 | | | | | | | | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | | | | | | | | REF_CLOSE: (475), (24503), (24506) are inconsistent by
% 176.74/27.52 | | | | | | | | | | | | | | | | | | sub-proof #460.
% 176.74/27.52 | | | | | | | | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | | | | | | | End of split
% 176.74/27.52 | | | | | | | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | | | | | | Case 2:
% 176.74/27.52 | | | | | | | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | | | | | | | (24507) all_58_3 = e1
% 176.74/27.52 | | | | | | | | | | | | | | | | | (24508) all_58_2 = e0
% 176.74/27.52 | | | | | | | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | | | | | | | COMBINE_EQS: (478), (24508) imply:
% 176.74/27.52 | | | | | | | | | | | | | | | | | (24509) all_52_2 = e0
% 176.74/27.52 | | | | | | | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (50), (224), (227), (475), (693), (748),
% 176.74/27.52 | | | | | | | | | | | | | | | | | (765), (24490), (24499), (24507), (24509) are
% 176.74/27.52 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #48.
% 176.74/27.52 | | | | | | | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | | | | | | End of split
% 176.74/27.52 | | | | | | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | | | | | Case 2:
% 176.74/27.52 | | | | | | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | | | | | | (24510) all_58_2 = e3
% 176.74/27.52 | | | | | | | | | | | | | | | | (24511) all_58_0 = e1
% 176.74/27.52 | | | | | | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | | | | | | COMBINE_EQS: (484), (24511) imply:
% 176.74/27.52 | | | | | | | | | | | | | | | | (24512) all_52_0 = e1
% 176.74/27.52 | | | | | | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | | | | | | SIMP: (24512) implies:
% 176.74/27.52 | | | | | | | | | | | | | | | | (24513) all_52_0 = e1
% 176.74/27.52 | | | | | | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | | | | | | COMBINE_EQS: (478), (24510) imply:
% 176.74/27.52 | | | | | | | | | | | | | | | | (24514) all_52_2 = e3
% 176.74/27.52 | | | | | | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | | | | | | REDUCE: (628), (24513) imply:
% 176.74/27.52 | | | | | | | | | | | | | | | | (24515) ~ (all_52_1 = e1)
% 176.74/27.52 | | | | | | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | | | | | | SIMP: (24515) implies:
% 176.74/27.52 | | | | | | | | | | | | | | | | (24516) ~ (all_52_1 = e1)
% 176.74/27.52 | | | | | | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | | | | | | REDUCE: (630), (24513) imply:
% 176.74/27.52 | | | | | | | | | | | | | | | | (24517) ~ (all_52_3 = e1)
% 176.74/27.52 | | | | | | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | | | | | | SIMP: (24517) implies:
% 176.74/27.52 | | | | | | | | | | | | | | | | (24518) ~ (all_52_3 = e1)
% 176.74/27.52 | | | | | | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | | | | | | REDUCE: (631), (24514) imply:
% 176.74/27.52 | | | | | | | | | | | | | | | | (24519) ~ (all_52_1 = e3)
% 176.74/27.52 | | | | | | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | | | | | | REDUCE: (633), (24514) imply:
% 176.74/27.52 | | | | | | | | | | | | | | | | (24520) ~ (all_52_3 = e3)
% 176.74/27.52 | | | | | | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | | | | | | SIMP: (24520) implies:
% 176.74/27.52 | | | | | | | | | | | | | | | | (24521) ~ (all_52_3 = e3)
% 176.74/27.52 | | | | | | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | | | | | | REDUCE: (714), (24513) imply:
% 176.74/27.52 | | | | | | | | | | | | | | | | (24522) op(e3, e1) = unit
% 176.74/27.52 | | | | | | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | | | | | | REF_CLOSE: (7), (50), (148), (150), (158), (163), (231),
% 176.74/27.52 | | | | | | | | | | | | | | | | (475), (481), (536), (539), (632), (731), (765),
% 176.74/27.52 | | | | | | | | | | | | | | | | (21512), (21521), (24148), (24489), (24494),
% 176.74/27.52 | | | | | | | | | | | | | | | | (24498), (24516), (24518), (24519), (24521),
% 176.74/27.52 | | | | | | | | | | | | | | | | (24522) are inconsistent by sub-proof #14.
% 176.74/27.52 | | | | | | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | | | | | End of split
% 176.74/27.52 | | | | | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | | | | End of split
% 176.74/27.52 | | | | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | | | End of split
% 176.74/27.52 | | | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | | End of split
% 176.74/27.52 | | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | Case 2:
% 176.74/27.52 | | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | | (24523) all_42_2 = e1
% 176.74/27.52 | | | | | | | | | | | | (24524) op(e0, e1) = all_42_1 & $i(all_42_1) & ( ~
% 176.74/27.52 | | | | | | | | | | | | (all_42_1 = e3) | ( ~ (all_42_0 = e2) & op(e3,
% 176.74/27.52 | | | | | | | | | | | | e0) = all_42_0 & $i(all_42_0)))
% 176.74/27.52 | | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | | ALPHA: (24524) implies:
% 176.74/27.52 | | | | | | | | | | | | (24525) op(e0, e1) = all_42_1
% 176.74/27.52 | | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | | COMBINE_EQS: (532), (24523) imply:
% 176.74/27.52 | | | | | | | | | | | | (24526) all_20_2 = e1
% 176.74/27.52 | | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | | SIMP: (24526) implies:
% 176.74/27.52 | | | | | | | | | | | | (24527) all_20_2 = e1
% 176.74/27.52 | | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | | COMBINE_EQS: (582), (24527) imply:
% 176.74/27.52 | | | | | | | | | | | | (24528) all_50_2 = e1
% 176.74/27.52 | | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | | REDUCE: (697), (24527) imply:
% 176.74/27.52 | | | | | | | | | | | | (24529) op(e1, e0) = all_65_78
% 176.74/27.52 | | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | | REDUCE: (24477), (24527) imply:
% 176.74/27.52 | | | | | | | | | | | | (24530) op(e2, e1) = all_65_75
% 176.74/27.52 | | | | | | | | | | | |
% 176.74/27.52 | | | | | | | | | | | | REDUCE: (24478), (24527) imply:
% 176.74/27.53 | | | | | | | | | | | | (24531) op(e1, e1) = all_65_77
% 176.74/27.53 | | | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | | | REDUCE: (764), (24527) imply:
% 176.74/27.53 | | | | | | | | | | | | (24532) op(e0, e1) = all_65_78
% 176.74/27.53 | | | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | | | REDUCE: (76), (24527) imply:
% 176.74/27.53 | | | | | | | | | | | | (24533) op(e0, e0) = e1
% 176.74/27.53 | | | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | | | BETA: splitting (122) gives:
% 176.74/27.53 | | | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | | | Case 1:
% 176.74/27.53 | | | | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | | | | (24534) ~ (all_50_2 = e1)
% 176.74/27.53 | | | | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | | | | REDUCE: (24528), (24534) imply:
% 176.74/27.53 | | | | | | | | | | | | | (24535) $false
% 176.74/27.53 | | | | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | | | | CLOSE: (24535) is inconsistent.
% 176.74/27.53 | | | | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | | | Case 2:
% 176.74/27.53 | | | | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | | | | (24536) op(e0, e1) = all_50_1 & $i(all_50_1) & ( ~
% 176.74/27.53 | | | | | | | | | | | | | (all_50_1 = e2) | ( ~ (all_50_0 = e3) & op(e2,
% 176.74/27.53 | | | | | | | | | | | | | e0) = all_50_0 & $i(all_50_0)))
% 176.74/27.53 | | | | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | | | | ALPHA: (24536) implies:
% 176.74/27.53 | | | | | | | | | | | | | (24537) op(e0, e1) = all_50_1
% 176.74/27.53 | | | | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_50_1, all_65_78, e1,
% 176.74/27.53 | | | | | | | | | | | | | e0, simplifying with (24532), (24537) gives:
% 176.74/27.53 | | | | | | | | | | | | | (24538) all_65_78 = all_50_1
% 176.74/27.53 | | | | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_42_1, all_65_78, e1,
% 176.74/27.53 | | | | | | | | | | | | | e0, simplifying with (24525), (24532) gives:
% 176.74/27.53 | | | | | | | | | | | | | (24539) all_65_78 = all_42_1
% 176.74/27.53 | | | | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_14, all_65_78, e0,
% 176.74/27.53 | | | | | | | | | | | | | e1, simplifying with (227), (24529) gives:
% 176.74/27.53 | | | | | | | | | | | | | (24540) all_65_78 = all_61_14
% 176.74/27.53 | | | | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e3, all_65_77, e1, e1,
% 176.74/27.53 | | | | | | | | | | | | | simplifying with (21466), (24531) gives:
% 176.74/27.53 | | | | | | | | | | | | | (24541) all_65_77 = e3
% 176.74/27.53 | | | | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_12_1, all_65_75, e1,
% 176.74/27.53 | | | | | | | | | | | | | e2, simplifying with (24136), (24530) gives:
% 176.74/27.53 | | | | | | | | | | | | | (24542) all_65_75 = all_12_1
% 176.74/27.53 | | | | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | | | | COMBINE_EQS: (24539), (24540) imply:
% 176.74/27.53 | | | | | | | | | | | | | (24543) all_61_14 = all_42_1
% 176.74/27.53 | | | | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | | | | COMBINE_EQS: (24538), (24540) imply:
% 176.74/27.53 | | | | | | | | | | | | | (24544) all_61_14 = all_50_1
% 176.74/27.53 | | | | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | | | | COMBINE_EQS: (24543), (24544) imply:
% 176.74/27.53 | | | | | | | | | | | | | (24545) all_50_1 = all_42_1
% 176.74/27.53 | | | | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | | | | REDUCE: (177), (24543) imply:
% 176.74/27.53 | | | | | | | | | | | | | (24546) ~ (all_61_13 = all_42_1)
% 176.74/27.53 | | | | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | | | | REDUCE: (24463), (24543) imply:
% 176.74/27.53 | | | | | | | | | | | | | (24547) op(all_61_13, e2) = all_42_1
% 176.74/27.53 | | | | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | | | | REDUCE: (24475), (24542) imply:
% 176.74/27.53 | | | | | | | | | | | | | (24548) op(all_61_13, e0) = all_12_1
% 176.74/27.53 | | | | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | | | | REDUCE: (24476), (24541), (24543) imply:
% 176.74/27.53 | | | | | | | | | | | | | (24549) op(all_42_1, e0) = e3
% 176.74/27.53 | | | | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | | | | REDUCE: (227), (24543) imply:
% 176.74/27.53 | | | | | | | | | | | | | (24550) op(e1, e0) = all_42_1
% 176.74/27.53 | | | | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | | | | BETA: splitting (157) gives:
% 176.74/27.53 | | | | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | | | | Case 1:
% 176.74/27.53 | | | | | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | | | | | (24551) ~ (all_58_3 = e1)
% 176.74/27.53 | | | | | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | | | | | REDUCE: (475), (24551) imply:
% 176.74/27.53 | | | | | | | | | | | | | | (24552) ~ (all_52_3 = e1)
% 176.74/27.53 | | | | | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | | | | | BETA: splitting (161) gives:
% 176.74/27.53 | | | | | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | | | | | Case 1:
% 176.74/27.53 | | | | | | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | | | | | | (24553) ~ (all_58_2 = e2)
% 176.74/27.53 | | | | | | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | | | | | | REDUCE: (478), (24553) imply:
% 176.74/27.53 | | | | | | | | | | | | | | | (24554) ~ (all_52_2 = e2)
% 176.74/27.53 | | | | | | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | | | | | | BETA: splitting (163) gives:
% 176.74/27.53 | | | | | | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | | | | | | Case 1:
% 176.74/27.53 | | | | | | | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | | | | | | | (24555) ~ (all_58_1 = e0)
% 176.74/27.53 | | | | | | | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | | | | | | | REDUCE: (481), (24555) imply:
% 176.74/27.53 | | | | | | | | | | | | | | | | (24556) ~ (all_52_1 = e0)
% 176.74/27.53 | | | | | | | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | | | | | | | BETA: splitting (158) gives:
% 176.74/27.53 | | | | | | | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | | | | | | | Case 1:
% 176.74/27.53 | | | | | | | | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | | | | | | | | (24557) ~ (all_58_3 = e2)
% 176.74/27.53 | | | | | | | | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | | | | | | | | REDUCE: (475), (24557) imply:
% 176.74/27.53 | | | | | | | | | | | | | | | | | (24558) ~ (all_52_3 = e2)
% 176.74/27.53 | | | | | | | | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | | | | | | | | BETA: splitting (159) gives:
% 176.74/27.53 | | | | | | | | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | | | | | | | | Case 1:
% 176.74/27.53 | | | | | | | | | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | | | | | | | | | (24559) ~ (all_58_3 = e3)
% 176.74/27.53 | | | | | | | | | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | | | | | | | | | REDUCE: (475), (24559) imply:
% 176.74/27.53 | | | | | | | | | | | | | | | | | | (24560) ~ (all_52_3 = e3)
% 176.74/27.53 | | | | | | | | | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (50), (148), (201), (236), (270), (488),
% 176.74/27.53 | | | | | | | | | | | | | | | | | | (539), (765), (24136), (24207), (24208), (24446),
% 176.74/27.53 | | | | | | | | | | | | | | | | | | (24533), (24552), (24558), (24560) are
% 176.74/27.53 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #319.
% 176.74/27.53 | | | | | | | | | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | | | | | | | | Case 2:
% 176.74/27.53 | | | | | | | | | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | | | | | | | | | (24561) all_58_3 = e3
% 176.74/27.53 | | | | | | | | | | | | | | | | | | (24562) all_58_0 = e0
% 176.74/27.53 | | | | | | | | | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | | | | | | | | | REF_CLOSE: (50), (149), (475), (484), (538), (629), (633),
% 176.74/27.53 | | | | | | | | | | | | | | | | | | (748), (21466), (21765), (24554), (24561), (24562)
% 176.74/27.53 | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #33.
% 176.74/27.53 | | | | | | | | | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | | | | | | | | End of split
% 176.74/27.53 | | | | | | | | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | | | | | | | Case 2:
% 176.74/27.53 | | | | | | | | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | | | | | | | | (24563) all_58_1 = e0
% 176.74/27.53 | | | | | | | | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | | | | | | | | REF_CLOSE: (481), (24556), (24563) are inconsistent by
% 176.74/27.53 | | | | | | | | | | | | | | | | | sub-proof #462.
% 176.74/27.53 | | | | | | | | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | | | | | | | End of split
% 176.74/27.53 | | | | | | | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | | | | | | Case 2:
% 176.74/27.53 | | | | | | | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | | | | | | | (24564) all_58_1 = e0
% 176.74/27.53 | | | | | | | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | | | | | | | COMBINE_EQS: (481), (24564) imply:
% 176.74/27.53 | | | | | | | | | | | | | | | | (24565) all_52_1 = e0
% 176.74/27.53 | | | | | | | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | | | | | | | SIMP: (24565) implies:
% 176.74/27.53 | | | | | | | | | | | | | | | | (24566) all_52_1 = e0
% 176.74/27.53 | | | | | | | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | | | | | | | REDUCE: (731), (24566) imply:
% 176.74/27.53 | | | | | | | | | | | | | | | | (24567) op(e2, e0) = unit
% 176.74/27.53 | | | | | | | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_13, unit, e0, e2,
% 176.74/27.53 | | | | | | | | | | | | | | | | simplifying with (231), (24567) gives:
% 176.74/27.53 | | | | | | | | | | | | | | | | (24568) all_61_13 = unit
% 176.74/27.53 | | | | | | | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | | | | | | | REDUCE: (24546), (24568) imply:
% 176.74/27.53 | | | | | | | | | | | | | | | | (24569) ~ (all_42_1 = unit)
% 176.74/27.53 | | | | | | | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | | | | | | | SIMP: (24569) implies:
% 176.74/27.53 | | | | | | | | | | | | | | | | (24570) ~ (all_42_1 = unit)
% 176.74/27.53 | | | | | | | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | | | | | | | REDUCE: (24181), (24568) imply:
% 176.74/27.53 | | | | | | | | | | | | | | | | (24571) ~ (all_12_1 = unit)
% 176.74/27.53 | | | | | | | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | | | | | | | SIMP: (24571) implies:
% 176.74/27.53 | | | | | | | | | | | | | | | | (24572) ~ (all_12_1 = unit)
% 176.74/27.53 | | | | | | | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | | | | | | | REDUCE: (24141), (24568) imply:
% 176.74/27.53 | | | | | | | | | | | | | | | | (24573) ~ (unit = e1)
% 176.74/27.53 | | | | | | | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | | | | | | | REDUCE: (24547), (24568) imply:
% 176.74/27.53 | | | | | | | | | | | | | | | | (24574) op(unit, e2) = all_42_1
% 176.74/27.53 | | | | | | | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | | | | | | | REDUCE: (24548), (24568) imply:
% 176.74/27.53 | | | | | | | | | | | | | | | | (24575) op(unit, e0) = all_12_1
% 176.74/27.53 | | | | | | | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e0, all_12_1, e0, unit,
% 176.74/27.53 | | | | | | | | | | | | | | | | simplifying with (7), (24575) gives:
% 176.74/27.53 | | | | | | | | | | | | | | | | (24576) all_12_1 = e0
% 176.74/27.53 | | | | | | | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e2, all_42_1, e2, unit,
% 176.74/27.53 | | | | | | | | | | | | | | | | simplifying with (9), (24574) gives:
% 176.74/27.53 | | | | | | | | | | | | | | | | (24577) all_42_1 = e2
% 176.74/27.53 | | | | | | | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | | | | | | | REF_CLOSE: (21766), (24570), (24572), (24573), (24576),
% 176.74/27.53 | | | | | | | | | | | | | | | | (24577) are inconsistent by sub-proof #318.
% 176.74/27.53 | | | | | | | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | | | | | | End of split
% 176.74/27.53 | | | | | | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | | | | | Case 2:
% 176.74/27.53 | | | | | | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | | | | | | (24578) all_58_1 = e1
% 176.74/27.53 | | | | | | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | | | | | | REF_CLOSE: (9), (23), (50), (481), (731), (24136), (24186),
% 176.74/27.53 | | | | | | | | | | | | | | | (24578) are inconsistent by sub-proof #11.
% 176.74/27.53 | | | | | | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | | | | | End of split
% 176.74/27.53 | | | | | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | | | | Case 2:
% 176.74/27.53 | | | | | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | | | | | (24579) all_58_2 = e0
% 176.74/27.53 | | | | | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | | | | | REF_CLOSE: (7), (21), (50), (478), (748), (24549), (24550),
% 176.74/27.53 | | | | | | | | | | | | | | (24579) are inconsistent by sub-proof #30.
% 176.74/27.53 | | | | | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | | | | End of split
% 176.74/27.53 | | | | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | | | End of split
% 176.74/27.53 | | | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | | End of split
% 176.74/27.53 | | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | End of split
% 176.74/27.53 | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | Case 2:
% 176.74/27.53 | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | (24580) all_28_2 = e3
% 176.74/27.53 | | | | | | | | | | (24581) op(e0, e3) = all_28_1 & $i(all_28_1) & ( ~
% 176.74/27.53 | | | | | | | | | | (all_28_1 = e2) | ( ~ (all_28_0 = e1) & op(e2,
% 176.74/27.53 | | | | | | | | | | e0) = all_28_0 & $i(all_28_0)))
% 176.74/27.53 | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | ALPHA: (24581) implies:
% 176.74/27.53 | | | | | | | | | | (24582) op(e0, e3) = all_28_1
% 176.74/27.53 | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | COMBINE_EQS: (563), (24580) imply:
% 176.74/27.53 | | | | | | | | | | (24583) all_20_2 = e3
% 176.74/27.53 | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | SIMP: (24583) implies:
% 176.74/27.53 | | | | | | | | | | (24584) all_20_2 = e3
% 176.74/27.53 | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | REDUCE: (625), (24584) imply:
% 176.74/27.53 | | | | | | | | | | (24585) ~ (all_61_12 = e3)
% 176.74/27.53 | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | REDUCE: (694), (24584) imply:
% 176.74/27.53 | | | | | | | | | | (24586) op(e3, e3) = all_65_73
% 176.74/27.53 | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | REDUCE: (695), (24584) imply:
% 176.74/27.53 | | | | | | | | | | (24587) op(e3, e2) = all_65_75
% 176.74/27.53 | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | REDUCE: (697), (24584) imply:
% 176.74/27.53 | | | | | | | | | | (24588) op(e3, e0) = all_65_78
% 176.74/27.53 | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | REDUCE: (713), (24584) imply:
% 176.74/27.53 | | | | | | | | | | (24589) op(e3, e3) = all_65_15
% 176.74/27.53 | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | REDUCE: (730), (24584) imply:
% 176.74/27.53 | | | | | | | | | | (24590) op(e2, e3) = all_65_31
% 176.74/27.53 | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | REDUCE: (747), (24584) imply:
% 176.74/27.53 | | | | | | | | | | (24591) op(e1, e3) = all_65_47
% 176.74/27.53 | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | REDUCE: (764), (24584) imply:
% 176.74/27.53 | | | | | | | | | | (24592) op(e0, e3) = all_65_78
% 176.74/27.53 | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | REDUCE: (76), (24584) imply:
% 176.74/27.53 | | | | | | | | | | (24593) op(e0, e0) = e3
% 176.74/27.53 | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_3, all_65_78, e3,
% 176.74/27.53 | | | | | | | | | | e0, simplifying with (226), (24592) gives:
% 176.74/27.53 | | | | | | | | | | (24594) all_65_78 = all_61_3
% 176.74/27.53 | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | GROUND_INST: instantiating (50) with all_28_1, all_65_78, e3,
% 176.74/27.53 | | | | | | | | | | e0, simplifying with (24582), (24592) gives:
% 176.74/27.53 | | | | | | | | | | (24595) all_65_78 = all_28_1
% 176.74/27.53 | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | GROUND_INST: instantiating (50) with all_4_1, all_65_47, e3,
% 176.74/27.53 | | | | | | | | | | e1, simplifying with (21451), (24591) gives:
% 176.74/27.53 | | | | | | | | | | (24596) all_65_47 = all_4_1
% 176.74/27.53 | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_4, all_65_31, e3,
% 176.74/27.53 | | | | | | | | | | e2, simplifying with (24213), (24590) gives:
% 176.74/27.53 | | | | | | | | | | (24597) all_65_31 = all_61_4
% 176.74/27.53 | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_12, all_65_78, e0,
% 176.74/27.53 | | | | | | | | | | e3, simplifying with (235), (24588) gives:
% 176.74/27.53 | | | | | | | | | | (24598) all_65_78 = all_61_12
% 176.74/27.53 | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_4, all_65_75, e2,
% 176.74/27.53 | | | | | | | | | | e3, simplifying with (237), (24587) gives:
% 176.74/27.53 | | | | | | | | | | (24599) all_65_75 = all_61_4
% 176.74/27.53 | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | GROUND_INST: instantiating (50) with all_14_2, all_65_15, e3,
% 176.74/27.53 | | | | | | | | | | e3, simplifying with (67), (24589) gives:
% 176.74/27.53 | | | | | | | | | | (24600) all_65_15 = all_14_2
% 176.74/27.53 | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_73, all_65_15, e3,
% 176.74/27.53 | | | | | | | | | | e3, simplifying with (24586), (24589) gives:
% 176.74/27.53 | | | | | | | | | | (24601) all_65_15 = all_65_73
% 176.74/27.53 | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | COMBINE_EQS: (24600), (24601) imply:
% 176.74/27.53 | | | | | | | | | | (24602) all_65_73 = all_14_2
% 176.74/27.53 | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | COMBINE_EQS: (24595), (24598) imply:
% 176.74/27.53 | | | | | | | | | | (24603) all_61_12 = all_28_1
% 176.74/27.53 | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | SIMP: (24603) implies:
% 176.74/27.53 | | | | | | | | | | (24604) all_61_12 = all_28_1
% 176.74/27.53 | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | COMBINE_EQS: (24594), (24595) imply:
% 176.74/27.53 | | | | | | | | | | (24605) all_61_3 = all_28_1
% 176.74/27.53 | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | SIMP: (24605) implies:
% 176.74/27.53 | | | | | | | | | | (24606) all_61_3 = all_28_1
% 176.74/27.53 | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | COMBINE_EQS: (491), (24604) imply:
% 176.74/27.53 | | | | | | | | | | (24607) all_63_3 = all_28_1
% 176.74/27.53 | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | REDUCE: (206), (24606) imply:
% 176.74/27.53 | | | | | | | | | | (24608) ~ (all_61_11 = all_28_1)
% 176.74/27.53 | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | SIMP: (24608) implies:
% 176.74/27.53 | | | | | | | | | | (24609) ~ (all_61_11 = all_28_1)
% 176.74/27.53 | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | REDUCE: (180), (24604) imply:
% 176.74/27.53 | | | | | | | | | | (24610) ~ (all_61_13 = all_28_1)
% 176.74/27.53 | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | SIMP: (24610) implies:
% 176.74/27.53 | | | | | | | | | | (24611) ~ (all_61_13 = all_28_1)
% 176.74/27.53 | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | REDUCE: (603), (24604) imply:
% 176.74/27.53 | | | | | | | | | | (24612) ~ (all_28_1 = all_14_2)
% 176.74/27.53 | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | REDUCE: (24585), (24604) imply:
% 176.74/27.53 | | | | | | | | | | (24613) ~ (all_28_1 = e3)
% 176.74/27.53 | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | REDUCE: (682), (24606) imply:
% 176.74/27.53 | | | | | | | | | | (24614) op(all_28_1, e3) = all_65_49
% 176.74/27.53 | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | REDUCE: (685), (24606) imply:
% 176.74/27.53 | | | | | | | | | | (24615) op(all_28_1, e0) = all_65_55
% 176.74/27.53 | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | REDUCE: (21518), (24606) imply:
% 176.74/27.53 | | | | | | | | | | (24616) op(all_61_11, e1) = all_28_1
% 176.74/27.53 | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | REDUCE: (646), (24604) imply:
% 176.74/27.53 | | | | | | | | | | (24617) op(all_28_1, e3) = all_65_12
% 176.74/27.53 | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | REDUCE: (649), (24600), (24604) imply:
% 176.74/27.53 | | | | | | | | | | (24618) op(all_28_1, e0) = all_14_2
% 176.74/27.53 | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | REDUCE: (665), (24597) imply:
% 176.74/27.53 | | | | | | | | | | (24619) op(all_61_13, e0) = all_61_4
% 176.74/27.53 | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | REDUCE: (681), (24596) imply:
% 176.74/27.53 | | | | | | | | | | (24620) op(all_61_14, e0) = all_4_1
% 176.74/27.53 | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | REDUCE: (710), (24606) imply:
% 176.74/27.53 | | | | | | | | | | (24621) op(e3, all_28_1) = all_65_12
% 176.74/27.53 | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | REDUCE: (701), (24604) imply:
% 176.74/27.53 | | | | | | | | | | (24622) op(e3, all_28_1) = all_65_3
% 176.74/27.53 | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | REDUCE: (235), (24604) imply:
% 176.74/27.53 | | | | | | | | | | (24623) op(e3, e0) = all_28_1
% 176.74/27.53 | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_12, all_65_3,
% 176.74/27.53 | | | | | | | | | | all_28_1, e3, simplifying with (24621), (24622)
% 176.74/27.53 | | | | | | | | | | gives:
% 176.74/27.53 | | | | | | | | | | (24624) all_65_3 = all_65_12
% 176.74/27.53 | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | GROUND_INST: instantiating (50) with all_14_2, all_65_55, e0,
% 176.74/27.53 | | | | | | | | | | all_28_1, simplifying with (24615), (24618) gives:
% 176.74/27.53 | | | | | | | | | | (24625) all_65_55 = all_14_2
% 176.74/27.53 | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_49, all_65_12, e3,
% 176.74/27.53 | | | | | | | | | | all_28_1, simplifying with (24614), (24617) gives:
% 176.74/27.53 | | | | | | | | | | (24626) all_65_12 = all_65_49
% 176.74/27.53 | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | COMBINE_EQS: (24624), (24626) imply:
% 176.74/27.53 | | | | | | | | | | (24627) all_65_3 = all_65_49
% 176.74/27.53 | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | REDUCE: (637), (24627) imply:
% 176.74/27.53 | | | | | | | | | | (24628) op(all_14_2, e0) = all_65_49
% 176.74/27.53 | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | BETA: splitting (101) gives:
% 176.74/27.53 | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | Case 1:
% 176.74/27.53 | | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | | (24629) ~ (all_36_2 = e0)
% 176.74/27.53 | | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | | REDUCE: (557), (24629) imply:
% 176.74/27.53 | | | | | | | | | | | (24630) ~ (all_14_2 = e0)
% 176.74/27.53 | | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | | BETA: splitting (107) gives:
% 176.74/27.53 | | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | | Case 1:
% 176.74/27.53 | | | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | | | (24631) ~ (all_40_2 = e1)
% 176.74/27.53 | | | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | | | REDUCE: (553), (24631) imply:
% 176.74/27.53 | | | | | | | | | | | | (24632) ~ (all_14_2 = e1)
% 176.74/27.53 | | | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | | | REF_CLOSE: (10), (50), (67), (151), (159), (162), (165),
% 176.74/27.53 | | | | | | | | | | | | (166), (167), (168), (226), (230), (234), (235),
% 176.74/27.53 | | | | | | | | | | | | (236), (237), (271), (475), (478), (481), (484),
% 176.74/27.53 | | | | | | | | | | | | (534), (588), (599), (601), (603), (635), (636),
% 176.74/27.53 | | | | | | | | | | | | (637), (638), (642), (646), (650), (666), (682),
% 176.74/27.53 | | | | | | | | | | | | (698), (714), (715), (731), (732), (748), (749),
% 176.74/27.53 | | | | | | | | | | | | (765), (21765), (24220), (24630), (24632) are
% 176.74/27.53 | | | | | | | | | | | | inconsistent by sub-proof #502.
% 176.74/27.53 | | | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | | Case 2:
% 176.74/27.53 | | | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | | | (24633) all_40_2 = e1
% 176.74/27.53 | | | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | | | COMBINE_EQS: (553), (24633) imply:
% 176.74/27.53 | | | | | | | | | | | | (24634) all_14_2 = e1
% 176.74/27.53 | | | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | | | REDUCE: (24612), (24634) imply:
% 176.74/27.53 | | | | | | | | | | | | (24635) ~ (all_28_1 = e1)
% 176.74/27.53 | | | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | | | REDUCE: (24618), (24634) imply:
% 176.74/27.53 | | | | | | | | | | | | (24636) op(all_28_1, e0) = e1
% 176.74/27.53 | | | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | | | REDUCE: (24628), (24634) imply:
% 176.74/27.53 | | | | | | | | | | | | (24637) op(e1, e0) = all_65_49
% 176.74/27.53 | | | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | | | REDUCE: (749), (24634) imply:
% 176.74/27.53 | | | | | | | | | | | | (24638) op(e0, e1) = all_65_49
% 176.74/27.53 | | | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_11, all_65_49, e1,
% 176.74/27.53 | | | | | | | | | | | | e0, simplifying with (224), (24638) gives:
% 176.74/27.53 | | | | | | | | | | | | (24639) all_65_49 = all_61_11
% 176.74/27.53 | | | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_14, all_65_49, e0,
% 176.74/27.53 | | | | | | | | | | | | e1, simplifying with (227), (24637) gives:
% 176.74/27.53 | | | | | | | | | | | | (24640) all_65_49 = all_61_14
% 176.74/27.53 | | | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | | | COMBINE_EQS: (24639), (24640) imply:
% 176.74/27.53 | | | | | | | | | | | | (24641) all_61_11 = all_61_14
% 176.74/27.53 | | | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | | | SIMP: (24641) implies:
% 176.74/27.53 | | | | | | | | | | | | (24642) all_61_11 = all_61_14
% 176.74/27.53 | | | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | | | REDUCE: (24609), (24642) imply:
% 176.74/27.53 | | | | | | | | | | | | (24643) ~ (all_61_14 = all_28_1)
% 176.74/27.53 | | | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | | | REDUCE: (24188), (24642) imply:
% 176.74/27.53 | | | | | | | | | | | | (24644) op(all_61_7, e2) = all_61_14
% 176.74/27.53 | | | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | | | REDUCE: (24616), (24642) imply:
% 176.74/27.53 | | | | | | | | | | | | (24645) op(all_61_14, e1) = all_28_1
% 176.74/27.53 | | | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_46, all_28_1, e1,
% 176.74/27.53 | | | | | | | | | | | | all_61_14, simplifying with (680), (24645) gives:
% 176.74/27.53 | | | | | | | | | | | | (24646) all_65_46 = all_28_1
% 176.74/27.53 | | | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | | | BETA: splitting (157) gives:
% 176.74/27.53 | | | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | | | Case 1:
% 176.74/27.53 | | | | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | | | | (24647) ~ (all_58_3 = e1)
% 176.74/27.53 | | | | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | | | | REDUCE: (475), (24647) imply:
% 176.74/27.53 | | | | | | | | | | | | | (24648) ~ (all_52_3 = e1)
% 176.74/27.53 | | | | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | | | | BETA: splitting (159) gives:
% 176.74/27.53 | | | | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | | | | Case 1:
% 176.74/27.53 | | | | | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | | | | | (24649) ~ (all_58_3 = e3)
% 176.74/27.53 | | | | | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | | | | | REDUCE: (475), (24649) imply:
% 176.74/27.53 | | | | | | | | | | | | | | (24650) ~ (all_52_3 = e3)
% 176.74/27.53 | | | | | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | | | | | BETA: splitting (158) gives:
% 176.74/27.53 | | | | | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | | | | | Case 1:
% 176.74/27.53 | | | | | | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | | | | | | (24651) ~ (all_58_3 = e2)
% 176.74/27.53 | | | | | | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | | | | | | REDUCE: (475), (24651) imply:
% 176.74/27.53 | | | | | | | | | | | | | | | (24652) ~ (all_52_3 = e2)
% 176.74/27.53 | | | | | | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | | | | | | REF_CLOSE: (50), (148), (539), (765), (21765), (24593),
% 176.74/27.53 | | | | | | | | | | | | | | | (24648), (24650), (24652) are inconsistent by
% 176.74/27.53 | | | | | | | | | | | | | | | sub-proof #439.
% 176.74/27.53 | | | | | | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | | | | | Case 2:
% 176.74/27.53 | | | | | | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | | | | | | (24653) all_58_3 = e2
% 176.74/27.53 | | | | | | | | | | | | | | | (24654) all_58_1 = e0
% 176.74/27.53 | | | | | | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | | | | | | REF_CLOSE: (9), (50), (177), (225), (231), (268), (475),
% 176.74/27.53 | | | | | | | | | | | | | | | (481), (663), (731), (765), (21766), (24141),
% 176.74/27.53 | | | | | | | | | | | | | | | (24607), (24611), (24613), (24635), (24643),
% 176.74/27.53 | | | | | | | | | | | | | | | (24644), (24653), (24654) are inconsistent by
% 176.74/27.53 | | | | | | | | | | | | | | | sub-proof #313.
% 176.74/27.53 | | | | | | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | | | | | End of split
% 176.74/27.53 | | | | | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | | | | Case 2:
% 176.74/27.53 | | | | | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | | | | | (24655) all_58_0 = e0
% 176.74/27.53 | | | | | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | | | | | REF_CLOSE: (7), (18), (50), (484), (714), (24623), (24636),
% 176.74/27.53 | | | | | | | | | | | | | | (24655) are inconsistent by sub-proof #29.
% 176.74/27.53 | | | | | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | | | | End of split
% 176.74/27.53 | | | | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | | | Case 2:
% 176.74/27.53 | | | | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | | | | (24656) all_58_2 = e0
% 176.74/27.53 | | | | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | | | | COMBINE_EQS: (478), (24656) imply:
% 176.74/27.53 | | | | | | | | | | | | | (24657) all_52_2 = e0
% 176.74/27.53 | | | | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | | | | SIMP: (24657) implies:
% 176.74/27.53 | | | | | | | | | | | | | (24658) all_52_2 = e0
% 176.74/27.53 | | | | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | | | | REDUCE: (748), (24658) imply:
% 176.74/27.53 | | | | | | | | | | | | | (24659) op(e1, e0) = unit
% 176.74/27.53 | | | | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | | | | REF_CLOSE: (8), (50), (227), (24635), (24645), (24659) are
% 176.74/27.53 | | | | | | | | | | | | | inconsistent by sub-proof #36.
% 176.74/27.53 | | | | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | | | End of split
% 176.74/27.53 | | | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | | End of split
% 176.74/27.53 | | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | Case 2:
% 176.74/27.53 | | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | | (24660) all_36_2 = e0
% 176.74/27.53 | | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | | COMBINE_EQS: (557), (24660) imply:
% 176.74/27.53 | | | | | | | | | | | (24661) all_14_2 = e0
% 176.74/27.53 | | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | | SIMP: (24661) implies:
% 176.74/27.53 | | | | | | | | | | | (24662) all_14_2 = e0
% 176.74/27.53 | | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | | REDUCE: (599), (24662) imply:
% 176.74/27.53 | | | | | | | | | | | (24663) ~ (all_61_4 = e0)
% 176.74/27.53 | | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | | REDUCE: (21507), (24662) imply:
% 176.74/27.53 | | | | | | | | | | | (24664) ~ (all_4_1 = e0)
% 176.74/27.53 | | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | | SIMP: (24664) implies:
% 176.74/27.53 | | | | | | | | | | | (24665) ~ (all_4_1 = e0)
% 176.74/27.53 | | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | | REDUCE: (24218), (24662) imply:
% 176.74/27.53 | | | | | | | | | | | (24666) op(e0, e2) = all_65_16
% 176.74/27.53 | | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | | REDUCE: (21538), (24662) imply:
% 176.74/27.53 | | | | | | | | | | | (24667) op(e0, e1) = all_65_32
% 176.74/27.53 | | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | | REDUCE: (715), (24662) imply:
% 176.74/27.53 | | | | | | | | | | | (24668) op(e2, e0) = all_65_16
% 176.74/27.53 | | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | | REDUCE: (732), (24662) imply:
% 176.74/27.53 | | | | | | | | | | | (24669) op(e1, e0) = all_65_32
% 176.74/27.53 | | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | | REDUCE: (749), (24662) imply:
% 176.74/27.53 | | | | | | | | | | | (24670) op(e0, e0) = all_65_49
% 176.74/27.53 | | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | | GROUND_INST: instantiating (50) with e3, all_65_49, e0, e0,
% 176.74/27.53 | | | | | | | | | | | simplifying with (24593), (24670) gives:
% 176.74/27.53 | | | | | | | | | | | (24671) all_65_49 = e3
% 176.74/27.53 | | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_11, all_65_32, e1,
% 176.74/27.53 | | | | | | | | | | | e0, simplifying with (224), (24667) gives:
% 176.74/27.53 | | | | | | | | | | | (24672) all_65_32 = all_61_11
% 176.74/27.53 | | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_7, all_65_16, e2,
% 176.74/27.53 | | | | | | | | | | | e0, simplifying with (225), (24666) gives:
% 176.74/27.53 | | | | | | | | | | | (24673) all_65_16 = all_61_7
% 176.74/27.53 | | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_14, all_65_32, e0,
% 176.74/27.53 | | | | | | | | | | | e1, simplifying with (227), (24669) gives:
% 176.74/27.53 | | | | | | | | | | | (24674) all_65_32 = all_61_14
% 176.74/27.53 | | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_13, all_65_16, e0,
% 176.74/27.53 | | | | | | | | | | | e2, simplifying with (231), (24668) gives:
% 176.74/27.53 | | | | | | | | | | | (24675) all_65_16 = all_61_13
% 176.74/27.53 | | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | | COMBINE_EQS: (24673), (24675) imply:
% 176.74/27.53 | | | | | | | | | | | (24676) all_61_7 = all_61_13
% 176.74/27.53 | | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | | SIMP: (24676) implies:
% 176.74/27.53 | | | | | | | | | | | (24677) all_61_7 = all_61_13
% 176.74/27.53 | | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | | COMBINE_EQS: (24672), (24674) imply:
% 176.74/27.53 | | | | | | | | | | | (24678) all_61_11 = all_61_14
% 176.74/27.53 | | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | | SIMP: (24678) implies:
% 176.74/27.53 | | | | | | | | | | | (24679) all_61_11 = all_61_14
% 176.74/27.53 | | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | | REDUCE: (689), (24677) imply:
% 176.74/27.53 | | | | | | | | | | | (24680) op(all_61_13, e0) = all_65_63
% 176.74/27.53 | | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | | REDUCE: (693), (24679) imply:
% 176.74/27.53 | | | | | | | | | | | (24681) op(all_61_14, e0) = all_65_71
% 176.74/27.53 | | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | | GROUND_INST: instantiating (50) with all_4_1, all_65_71, e0,
% 176.74/27.53 | | | | | | | | | | | all_61_14, simplifying with (24620), (24681)
% 176.74/27.53 | | | | | | | | | | | gives:
% 176.74/27.53 | | | | | | | | | | | (24682) all_65_71 = all_4_1
% 176.74/27.53 | | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_4, all_65_63, e0,
% 176.74/27.53 | | | | | | | | | | | all_61_13, simplifying with (24619), (24680)
% 176.74/27.53 | | | | | | | | | | | gives:
% 176.74/27.53 | | | | | | | | | | | (24683) all_65_63 = all_61_4
% 176.74/27.53 | | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | | BETA: splitting (157) gives:
% 176.74/27.53 | | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | | Case 1:
% 176.74/27.53 | | | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | | | (24684) ~ (all_58_3 = e1)
% 176.74/27.53 | | | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | | | REDUCE: (475), (24684) imply:
% 176.74/27.53 | | | | | | | | | | | | (24685) ~ (all_52_3 = e1)
% 176.74/27.53 | | | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | | | BETA: splitting (161) gives:
% 176.74/27.53 | | | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | | | Case 1:
% 176.74/27.53 | | | | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | | | | (24686) ~ (all_58_2 = e2)
% 176.74/27.53 | | | | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | | | | REDUCE: (478), (24686) imply:
% 176.74/27.53 | | | | | | | | | | | | | (24687) ~ (all_52_2 = e2)
% 176.74/27.53 | | | | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | | | | BETA: splitting (163) gives:
% 176.74/27.53 | | | | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | | | | Case 1:
% 176.74/27.53 | | | | | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | | | | | (24688) ~ (all_58_1 = e0)
% 176.74/27.53 | | | | | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | | | | | REDUCE: (481), (24688) imply:
% 176.74/27.53 | | | | | | | | | | | | | | (24689) ~ (all_52_1 = e0)
% 176.74/27.53 | | | | | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | | | | | REF_CLOSE: (50), (148), (149), (158), (159), (475), (481),
% 176.74/27.53 | | | | | | | | | | | | | | (484), (538), (539), (629), (633), (748), (765),
% 176.74/27.53 | | | | | | | | | | | | | | (21466), (21765), (24593), (24685), (24687),
% 176.74/27.53 | | | | | | | | | | | | | | (24689) are inconsistent by sub-proof #10.
% 176.74/27.53 | | | | | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | | | | Case 2:
% 176.74/27.53 | | | | | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | | | | | (24690) all_58_1 = e0
% 176.74/27.53 | | | | | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | | | | | COMBINE_EQS: (481), (24690) imply:
% 176.74/27.53 | | | | | | | | | | | | | | (24691) all_52_1 = e0
% 176.74/27.53 | | | | | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | | | | | SIMP: (24691) implies:
% 176.74/27.53 | | | | | | | | | | | | | | (24692) all_52_1 = e0
% 176.74/27.53 | | | | | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | | | | | REDUCE: (731), (24692) imply:
% 176.74/27.53 | | | | | | | | | | | | | | (24693) op(e2, e0) = unit
% 176.74/27.53 | | | | | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | | | | | REF_CLOSE: (7), (50), (231), (24619), (24663), (24693) are
% 176.74/27.53 | | | | | | | | | | | | | | inconsistent by sub-proof #112.
% 176.74/27.53 | | | | | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | | | | End of split
% 176.74/27.53 | | | | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | | | Case 2:
% 176.74/27.53 | | | | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | | | | (24694) all_58_1 = e1
% 176.74/27.53 | | | | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | | | | REF_CLOSE: (9), (23), (50), (481), (731), (24136), (24186),
% 176.74/27.53 | | | | | | | | | | | | | (24694) are inconsistent by sub-proof #11.
% 176.74/27.53 | | | | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | | | End of split
% 176.74/27.53 | | | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | | Case 2:
% 176.74/27.53 | | | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | | | (24695) all_58_2 = e0
% 176.74/27.53 | | | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | | | COMBINE_EQS: (478), (24695) imply:
% 176.74/27.53 | | | | | | | | | | | | (24696) all_52_2 = e0
% 176.74/27.53 | | | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | | | SIMP: (24696) implies:
% 176.74/27.53 | | | | | | | | | | | | (24697) all_52_2 = e0
% 176.74/27.53 | | | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | | | REDUCE: (748), (24697) imply:
% 176.74/27.53 | | | | | | | | | | | | (24698) op(e1, e0) = unit
% 176.74/27.53 | | | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | | | REF_CLOSE: (7), (50), (227), (24620), (24665), (24698) are
% 176.74/27.53 | | | | | | | | | | | | inconsistent by sub-proof #34.
% 176.74/27.53 | | | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | | End of split
% 176.74/27.53 | | | | | | | | | | |
% 176.74/27.53 | | | | | | | | | | End of split
% 176.74/27.53 | | | | | | | | | |
% 176.74/27.54 | | | | | | | | | End of split
% 176.74/27.54 | | | | | | | | |
% 176.74/27.54 | | | | | | | | Case 2:
% 176.74/27.54 | | | | | | | | |
% 176.74/27.54 | | | | | | | | | (24699) all_20_2 = e2
% 176.74/27.54 | | | | | | | | | (24700) op(e0, e2) = all_20_1 & $i(all_20_1) & ( ~
% 176.74/27.54 | | | | | | | | | (all_20_1 = e1) | ( ~ (all_20_0 = e3) & op(e1,
% 176.74/27.54 | | | | | | | | | e0) = all_20_0 & $i(all_20_0)))
% 176.74/27.54 | | | | | | | | |
% 176.74/27.54 | | | | | | | | | ALPHA: (24700) implies:
% 176.74/27.54 | | | | | | | | | (24701) op(e0, e2) = all_20_1
% 176.74/27.54 | | | | | | | | |
% 176.74/27.54 | | | | | | | | | COMBINE_EQS: (581), (24699) imply:
% 176.74/27.54 | | | | | | | | | (24702) all_46_2 = e2
% 176.74/27.54 | | | | | | | | |
% 176.74/27.54 | | | | | | | | | REDUCE: (606), (24699) imply:
% 176.74/27.54 | | | | | | | | | (24703) ~ (all_61_3 = e2)
% 176.74/27.54 | | | | | | | | |
% 176.74/27.54 | | | | | | | | | REDUCE: (624), (24699) imply:
% 176.74/27.54 | | | | | | | | | (24704) ~ (all_61_11 = e2)
% 176.74/27.54 | | | | | | | | |
% 176.74/27.54 | | | | | | | | | REDUCE: (626), (24699) imply:
% 176.74/27.54 | | | | | | | | | (24705) ~ (all_61_13 = e2)
% 176.74/27.54 | | | | | | | | |
% 176.74/27.54 | | | | | | | | | REDUCE: (696), (24699) imply:
% 176.74/27.54 | | | | | | | | | (24706) op(e2, e1) = all_65_77
% 176.74/27.54 | | | | | | | | |
% 176.74/27.54 | | | | | | | | | REDUCE: (697), (24699) imply:
% 176.74/27.54 | | | | | | | | | (24707) op(e2, e0) = all_65_78
% 176.74/27.54 | | | | | | | | |
% 176.74/27.54 | | | | | | | | | REDUCE: (713), (24699) imply:
% 176.74/27.54 | | | | | | | | | (24708) op(e3, e2) = all_65_15
% 176.74/27.54 | | | | | | | | |
% 176.74/27.54 | | | | | | | | | REDUCE: (747), (24699) imply:
% 176.74/27.54 | | | | | | | | | (24709) op(e1, e2) = all_65_47
% 176.74/27.54 | | | | | | | | |
% 176.74/27.54 | | | | | | | | | REDUCE: (764), (24699) imply:
% 176.74/27.54 | | | | | | | | | (24710) op(e0, e2) = all_65_78
% 176.74/27.54 | | | | | | | | |
% 176.74/27.54 | | | | | | | | | REDUCE: (76), (24699) imply:
% 176.74/27.54 | | | | | | | | | (24711) op(e0, e0) = e2
% 176.74/27.54 | | | | | | | | |
% 176.74/27.54 | | | | | | | | | BETA: splitting (116) gives:
% 176.74/27.54 | | | | | | | | |
% 176.74/27.54 | | | | | | | | | Case 1:
% 176.74/27.54 | | | | | | | | | |
% 176.74/27.54 | | | | | | | | | | (24712) ~ (all_46_2 = e2)
% 176.74/27.54 | | | | | | | | | |
% 176.74/27.54 | | | | | | | | | | REDUCE: (24702), (24712) imply:
% 176.74/27.54 | | | | | | | | | | (24713) $false
% 176.74/27.54 | | | | | | | | | |
% 176.74/27.54 | | | | | | | | | | CLOSE: (24713) is inconsistent.
% 176.74/27.54 | | | | | | | | | |
% 176.74/27.54 | | | | | | | | | Case 2:
% 176.74/27.54 | | | | | | | | | |
% 176.74/27.54 | | | | | | | | | | (24714) op(e0, e2) = all_46_1 & $i(all_46_1) & ( ~
% 176.74/27.54 | | | | | | | | | | (all_46_1 = e3) | ( ~ (all_46_0 = e1) & op(e3,
% 176.74/27.54 | | | | | | | | | | e0) = all_46_0 & $i(all_46_0)))
% 176.74/27.54 | | | | | | | | | |
% 176.74/27.54 | | | | | | | | | | ALPHA: (24714) implies:
% 176.74/27.54 | | | | | | | | | | (24715) op(e0, e2) = all_46_1
% 176.74/27.54 | | | | | | | | | |
% 176.74/27.54 | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_7, all_46_1, e2,
% 176.74/27.54 | | | | | | | | | | e0, simplifying with (225), (24715) gives:
% 176.74/27.54 | | | | | | | | | | (24716) all_61_7 = all_46_1
% 176.74/27.54 | | | | | | | | | |
% 176.74/27.54 | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_7, all_65_78, e2,
% 176.74/27.54 | | | | | | | | | | e0, simplifying with (225), (24710) gives:
% 176.74/27.54 | | | | | | | | | | (24717) all_65_78 = all_61_7
% 176.74/27.54 | | | | | | | | | |
% 176.74/27.54 | | | | | | | | | | GROUND_INST: instantiating (50) with all_20_1, all_65_78, e2,
% 176.74/27.54 | | | | | | | | | | e0, simplifying with (24701), (24710) gives:
% 176.74/27.54 | | | | | | | | | | (24718) all_65_78 = all_20_1
% 176.74/27.54 | | | | | | | | | |
% 176.74/27.54 | | | | | | | | | | GROUND_INST: instantiating (50) with all_12_1, all_65_47, e2,
% 176.74/27.54 | | | | | | | | | | e1, simplifying with (24197), (24709) gives:
% 176.74/27.54 | | | | | | | | | | (24719) all_65_47 = all_12_1
% 176.74/27.54 | | | | | | | | | |
% 176.74/27.54 | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_13, all_65_78, e0,
% 176.74/27.54 | | | | | | | | | | e2, simplifying with (231), (24707) gives:
% 176.74/27.54 | | | | | | | | | | (24720) all_65_78 = all_61_13
% 176.74/27.54 | | | | | | | | | |
% 176.74/27.54 | | | | | | | | | | GROUND_INST: instantiating (50) with all_12_1, all_65_77, e1,
% 176.74/27.54 | | | | | | | | | | e2, simplifying with (24136), (24706) gives:
% 176.74/27.54 | | | | | | | | | | (24721) all_65_77 = all_12_1
% 176.74/27.54 | | | | | | | | | |
% 176.74/27.54 | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_4, all_65_15, e2,
% 176.74/27.54 | | | | | | | | | | e3, simplifying with (237), (24708) gives:
% 176.74/27.54 | | | | | | | | | | (24722) all_65_15 = all_61_4
% 176.74/27.54 | | | | | | | | | |
% 176.74/27.54 | | | | | | | | | | COMBINE_EQS: (24718), (24720) imply:
% 176.74/27.54 | | | | | | | | | | (24723) all_61_13 = all_20_1
% 176.74/27.54 | | | | | | | | | |
% 176.74/27.54 | | | | | | | | | | COMBINE_EQS: (24717), (24720) imply:
% 176.74/27.54 | | | | | | | | | | (24724) all_61_7 = all_61_13
% 176.74/27.54 | | | | | | | | | |
% 176.74/27.54 | | | | | | | | | | SIMP: (24724) implies:
% 176.74/27.54 | | | | | | | | | | (24725) all_61_7 = all_61_13
% 176.74/27.54 | | | | | | | | | |
% 176.74/27.54 | | | | | | | | | | COMBINE_EQS: (24716), (24725) imply:
% 176.74/27.54 | | | | | | | | | | (24726) all_61_13 = all_46_1
% 176.74/27.54 | | | | | | | | | |
% 176.74/27.54 | | | | | | | | | | SIMP: (24726) implies:
% 176.74/27.54 | | | | | | | | | | (24727) all_61_13 = all_46_1
% 176.74/27.54 | | | | | | | | | |
% 176.74/27.54 | | | | | | | | | | COMBINE_EQS: (24723), (24727) imply:
% 176.74/27.54 | | | | | | | | | | (24728) all_46_1 = all_20_1
% 176.74/27.54 | | | | | | | | | |
% 176.74/27.54 | | | | | | | | | | SIMP: (24728) implies:
% 176.74/27.54 | | | | | | | | | | (24729) all_46_1 = all_20_1
% 176.74/27.54 | | | | | | | | | |
% 176.74/27.54 | | | | | | | | | | COMBINE_EQS: (24716), (24729) imply:
% 176.74/27.54 | | | | | | | | | | (24730) all_61_7 = all_20_1
% 176.74/27.54 | | | | | | | | | |
% 176.74/27.54 | | | | | | | | | | COMBINE_EQS: (508), (24730) imply:
% 176.74/27.54 | | | | | | | | | | (24731) all_63_13 = all_20_1
% 176.74/27.54 | | | | | | | | | |
% 176.74/27.54 | | | | | | | | | | REDUCE: (207), (24730) imply:
% 176.74/27.54 | | | | | | | | | | (24732) ~ (all_61_3 = all_20_1)
% 176.74/27.54 | | | | | | | | | |
% 176.74/27.54 | | | | | | | | | | REDUCE: (192), (24730) imply:
% 176.74/27.54 | | | | | | | | | | (24733) ~ (all_61_11 = all_20_1)
% 176.74/27.54 | | | | | | | | | |
% 176.74/27.54 | | | | | | | | | | SIMP: (24733) implies:
% 176.74/27.54 | | | | | | | | | | (24734) ~ (all_61_11 = all_20_1)
% 176.74/27.54 | | | | | | | | | |
% 176.74/27.54 | | | | | | | | | | REDUCE: (24181), (24723) imply:
% 176.74/27.54 | | | | | | | | | | (24735) ~ (all_20_1 = all_12_1)
% 176.74/27.54 | | | | | | | | | |
% 176.74/27.54 | | | | | | | | | | REDUCE: (24705), (24723) imply:
% 176.74/27.54 | | | | | | | | | | (24736) ~ (all_20_1 = e2)
% 176.74/27.54 | | | | | | | | | |
% 176.74/27.54 | | | | | | | | | | REDUCE: (24188), (24730) imply:
% 176.74/27.54 | | | | | | | | | | (24737) op(all_20_1, e2) = all_61_11
% 176.74/27.54 | | | | | | | | | |
% 176.74/27.54 | | | | | | | | | | REDUCE: (663), (24723) imply:
% 176.74/27.54 | | | | | | | | | | (24738) op(all_20_1, e2) = all_65_29
% 176.74/27.54 | | | | | | | | | |
% 176.74/27.54 | | | | | | | | | | REDUCE: (681), (24719) imply:
% 176.74/27.54 | | | | | | | | | | (24739) op(all_61_14, e0) = all_12_1
% 176.74/27.54 | | | | | | | | | |
% 176.74/27.54 | | | | | | | | | | REDUCE: (728), (24730) imply:
% 176.74/27.54 | | | | | | | | | | (24740) op(e2, all_20_1) = all_65_29
% 176.74/27.54 | | | | | | | | | |
% 176.74/27.54 | | | | | | | | | | REDUCE: (24194), (24723) imply:
% 176.74/27.54 | | | | | | | | | | (24741) op(e2, all_20_1) = all_61_14
% 176.74/27.54 | | | | | | | | | |
% 176.74/27.54 | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_14, all_65_29,
% 176.74/27.54 | | | | | | | | | | all_20_1, e2, simplifying with (24740), (24741)
% 176.74/27.54 | | | | | | | | | | gives:
% 176.74/27.54 | | | | | | | | | | (24742) all_65_29 = all_61_14
% 176.74/27.54 | | | | | | | | | |
% 176.74/27.54 | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_11, all_65_29, e2,
% 176.74/27.54 | | | | | | | | | | all_20_1, simplifying with (24737), (24738) gives:
% 176.74/27.54 | | | | | | | | | | (24743) all_65_29 = all_61_11
% 176.74/27.54 | | | | | | | | | |
% 176.74/27.54 | | | | | | | | | | COMBINE_EQS: (24742), (24743) imply:
% 176.74/27.54 | | | | | | | | | | (24744) all_61_11 = all_61_14
% 176.74/27.54 | | | | | | | | | |
% 176.74/27.54 | | | | | | | | | | REDUCE: (206), (24744) imply:
% 176.74/27.54 | | | | | | | | | | (24745) ~ (all_61_3 = all_61_14)
% 176.74/27.54 | | | | | | | | | |
% 176.74/27.54 | | | | | | | | | | REDUCE: (24734), (24744) imply:
% 176.74/27.54 | | | | | | | | | | (24746) ~ (all_61_14 = all_20_1)
% 176.74/27.54 | | | | | | | | | |
% 176.74/27.54 | | | | | | | | | | REDUCE: (24704), (24744) imply:
% 176.74/27.54 | | | | | | | | | | (24747) ~ (all_61_14 = e2)
% 176.74/27.54 | | | | | | | | | |
% 176.74/27.54 | | | | | | | | | | REDUCE: (21518), (24744) imply:
% 176.74/27.54 | | | | | | | | | | (24748) op(all_61_14, e1) = all_61_3
% 176.74/27.54 | | | | | | | | | |
% 176.74/27.54 | | | | | | | | | | REDUCE: (693), (24744) imply:
% 176.74/27.54 | | | | | | | | | | (24749) op(all_61_14, e0) = all_65_71
% 176.74/27.54 | | | | | | | | | |
% 176.74/27.54 | | | | | | | | | | REDUCE: (746), (24744) imply:
% 176.74/27.54 | | | | | | | | | | (24750) op(e1, all_61_14) = all_65_46
% 176.74/27.54 | | | | | | | | | |
% 176.74/27.54 | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_12, all_65_46,
% 176.74/27.54 | | | | | | | | | | all_61_14, e1, simplifying with (21525), (24750)
% 176.74/27.54 | | | | | | | | | | gives:
% 176.74/27.54 | | | | | | | | | | (24751) all_65_46 = all_61_12
% 176.74/27.54 | | | | | | | | | |
% 176.74/27.54 | | | | | | | | | | GROUND_INST: instantiating (50) with all_12_1, all_65_71, e0,
% 176.74/27.54 | | | | | | | | | | all_61_14, simplifying with (24739), (24749)
% 176.74/27.54 | | | | | | | | | | gives:
% 176.74/27.54 | | | | | | | | | | (24752) all_65_71 = all_12_1
% 176.74/27.54 | | | | | | | | | |
% 176.74/27.54 | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_46, all_61_3, e1,
% 176.74/27.54 | | | | | | | | | | all_61_14, simplifying with (680), (24748) gives:
% 176.74/27.54 | | | | | | | | | | (24753) all_65_46 = all_61_3
% 176.74/27.54 | | | | | | | | | |
% 176.74/27.54 | | | | | | | | | | COMBINE_EQS: (24751), (24753) imply:
% 176.74/27.54 | | | | | | | | | | (24754) all_61_3 = all_61_12
% 176.74/27.54 | | | | | | | | | |
% 176.74/27.54 | | | | | | | | | | SIMP: (24754) implies:
% 176.74/27.54 | | | | | | | | | | (24755) all_61_3 = all_61_12
% 176.74/27.54 | | | | | | | | | |
% 176.74/27.54 | | | | | | | | | | REDUCE: (24732), (24755) imply:
% 176.74/27.54 | | | | | | | | | | (24756) ~ (all_61_12 = all_20_1)
% 176.74/27.54 | | | | | | | | | |
% 176.74/27.54 | | | | | | | | | | REDUCE: (24703), (24755) imply:
% 176.74/27.54 | | | | | | | | | | (24757) ~ (all_61_12 = e2)
% 176.74/27.54 | | | | | | | | | |
% 176.74/27.54 | | | | | | | | | | REDUCE: (682), (24755) imply:
% 176.74/27.54 | | | | | | | | | | (24758) op(all_61_12, e3) = all_65_49
% 176.74/27.54 | | | | | | | | | |
% 176.74/27.54 | | | | | | | | | | REDUCE: (24748), (24755) imply:
% 176.74/27.54 | | | | | | | | | | (24759) op(all_61_14, e1) = all_61_12
% 176.74/27.54 | | | | | | | | | |
% 176.74/27.54 | | | | | | | | | | REDUCE: (710), (24755) imply:
% 176.74/27.54 | | | | | | | | | | (24760) op(e3, all_61_12) = all_65_12
% 176.74/27.54 | | | | | | | | | |
% 176.74/27.54 | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_3, all_65_12,
% 176.74/27.54 | | | | | | | | | | all_61_12, e3, simplifying with (701), (24760)
% 176.74/27.54 | | | | | | | | | | gives:
% 176.74/27.54 | | | | | | | | | | (24761) all_65_3 = all_65_12
% 176.74/27.54 | | | | | | | | | |
% 176.74/27.54 | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_12, all_65_49, e3,
% 176.74/27.54 | | | | | | | | | | all_61_12, simplifying with (646), (24758) gives:
% 176.74/27.54 | | | | | | | | | | (24762) all_65_12 = all_65_49
% 176.74/27.54 | | | | | | | | | |
% 176.74/27.54 | | | | | | | | | | COMBINE_EQS: (24761), (24762) imply:
% 176.74/27.54 | | | | | | | | | | (24763) all_65_3 = all_65_49
% 176.74/27.54 | | | | | | | | | |
% 176.74/27.54 | | | | | | | | | | REDUCE: (637), (24763) imply:
% 176.74/27.54 | | | | | | | | | | (24764) op(all_14_2, e0) = all_65_49
% 176.74/27.54 | | | | | | | | | |
% 176.74/27.54 | | | | | | | | | | BETA: splitting (101) gives:
% 176.74/27.54 | | | | | | | | | |
% 176.74/27.54 | | | | | | | | | | Case 1:
% 176.74/27.54 | | | | | | | | | | |
% 176.74/27.54 | | | | | | | | | | | (24765) ~ (all_36_2 = e0)
% 176.74/27.54 | | | | | | | | | | |
% 176.74/27.54 | | | | | | | | | | | REDUCE: (557), (24765) imply:
% 176.74/27.54 | | | | | | | | | | | (24766) ~ (all_14_2 = e0)
% 176.74/27.54 | | | | | | | | | | |
% 176.74/27.54 | | | | | | | | | | | BETA: splitting (107) gives:
% 176.74/27.54 | | | | | | | | | | |
% 176.74/27.54 | | | | | | | | | | | Case 1:
% 176.74/27.54 | | | | | | | | | | | |
% 176.74/27.54 | | | | | | | | | | | | (24767) ~ (all_40_2 = e1)
% 176.74/27.54 | | | | | | | | | | | |
% 176.74/27.54 | | | | | | | | | | | | REDUCE: (553), (24767) imply:
% 176.74/27.54 | | | | | | | | | | | | (24768) ~ (all_14_2 = e1)
% 176.74/27.54 | | | | | | | | | | | |
% 176.74/27.54 | | | | | | | | | | | | REF_CLOSE: (10), (50), (67), (151), (159), (162), (165),
% 176.74/27.54 | | | | | | | | | | | | (166), (167), (168), (226), (230), (234), (235),
% 176.74/27.54 | | | | | | | | | | | | (236), (237), (271), (475), (478), (481), (484),
% 176.74/27.54 | | | | | | | | | | | | (534), (588), (599), (601), (603), (635), (636),
% 176.74/27.54 | | | | | | | | | | | | (637), (638), (642), (646), (650), (666), (682),
% 176.74/27.54 | | | | | | | | | | | | (698), (714), (715), (731), (732), (748), (749),
% 176.74/27.54 | | | | | | | | | | | | (765), (21765), (24220), (24766), (24768) are
% 176.74/27.54 | | | | | | | | | | | | inconsistent by sub-proof #502.
% 176.74/27.54 | | | | | | | | | | | |
% 176.74/27.54 | | | | | | | | | | | Case 2:
% 176.74/27.54 | | | | | | | | | | | |
% 176.74/27.54 | | | | | | | | | | | | (24769) all_40_2 = e1
% 176.74/27.54 | | | | | | | | | | | |
% 176.74/27.54 | | | | | | | | | | | | COMBINE_EQS: (553), (24769) imply:
% 176.74/27.54 | | | | | | | | | | | | (24770) all_14_2 = e1
% 176.74/27.54 | | | | | | | | | | | |
% 176.74/27.54 | | | | | | | | | | | | REDUCE: (603), (24770) imply:
% 176.74/27.54 | | | | | | | | | | | | (24771) ~ (all_61_12 = e1)
% 176.74/27.54 | | | | | | | | | | | |
% 176.74/27.54 | | | | | | | | | | | | REDUCE: (24764), (24770) imply:
% 176.74/27.54 | | | | | | | | | | | | (24772) op(e1, e0) = all_65_49
% 176.74/27.54 | | | | | | | | | | | |
% 176.74/27.54 | | | | | | | | | | | | REDUCE: (715), (24770) imply:
% 176.74/27.54 | | | | | | | | | | | | (24773) op(e2, e1) = all_65_16
% 176.74/27.54 | | | | | | | | | | | |
% 176.74/27.54 | | | | | | | | | | | | REDUCE: (732), (24770) imply:
% 176.74/27.54 | | | | | | | | | | | | (24774) op(e1, e1) = all_65_32
% 176.74/27.54 | | | | | | | | | | | |
% 176.74/27.54 | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_14, all_65_49, e0,
% 176.74/27.54 | | | | | | | | | | | | e1, simplifying with (227), (24772) gives:
% 176.74/27.54 | | | | | | | | | | | | (24775) all_65_49 = all_61_14
% 176.74/27.54 | | | | | | | | | | | |
% 176.74/27.54 | | | | | | | | | | | | GROUND_INST: instantiating (50) with e3, all_65_32, e1, e1,
% 176.74/27.54 | | | | | | | | | | | | simplifying with (21466), (24774) gives:
% 176.74/27.54 | | | | | | | | | | | | (24776) all_65_32 = e3
% 176.74/27.54 | | | | | | | | | | | |
% 176.74/27.54 | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_12_1, all_65_16, e1,
% 176.74/27.54 | | | | | | | | | | | | e2, simplifying with (24136), (24773) gives:
% 176.74/27.54 | | | | | | | | | | | | (24777) all_65_16 = all_12_1
% 176.74/27.54 | | | | | | | | | | | |
% 176.74/27.54 | | | | | | | | | | | | BETA: splitting (157) gives:
% 176.74/27.54 | | | | | | | | | | | |
% 176.74/27.54 | | | | | | | | | | | | Case 1:
% 176.74/27.54 | | | | | | | | | | | | |
% 176.74/27.54 | | | | | | | | | | | | | (24778) ~ (all_58_3 = e1)
% 176.74/27.54 | | | | | | | | | | | | |
% 176.74/27.54 | | | | | | | | | | | | | REDUCE: (475), (24778) imply:
% 176.74/27.54 | | | | | | | | | | | | | (24779) ~ (all_52_3 = e1)
% 176.74/27.54 | | | | | | | | | | | | |
% 176.74/27.54 | | | | | | | | | | | | | REF_CLOSE: (8), (9), (23), (50), (148), (149), (158), (160),
% 176.74/27.54 | | | | | | | | | | | | | (161), (162), (163), (164), (225), (231), (232),
% 176.74/27.54 | | | | | | | | | | | | | (475), (478), (481), (484), (538), (539), (630),
% 176.74/27.54 | | | | | | | | | | | | | (633), (663), (728), (731), (748), (765), (21466),
% 176.74/27.54 | | | | | | | | | | | | | (21765), (24136), (24140), (24186), (24188),
% 176.74/27.54 | | | | | | | | | | | | | (24194), (24711), (24747), (24779) are
% 176.74/27.54 | | | | | | | | | | | | | inconsistent by sub-proof #9.
% 176.74/27.54 | | | | | | | | | | | | |
% 176.74/27.54 | | | | | | | | | | | | Case 2:
% 176.74/27.54 | | | | | | | | | | | | |
% 176.74/27.54 | | | | | | | | | | | | | (24780) all_58_2 = e0
% 176.74/27.54 | | | | | | | | | | | | |
% 176.74/27.54 | | | | | | | | | | | | | COMBINE_EQS: (478), (24780) imply:
% 176.74/27.54 | | | | | | | | | | | | | (24781) all_52_2 = e0
% 176.74/27.54 | | | | | | | | | | | | |
% 176.74/27.54 | | | | | | | | | | | | | SIMP: (24781) implies:
% 176.74/27.54 | | | | | | | | | | | | | (24782) all_52_2 = e0
% 176.74/27.54 | | | | | | | | | | | | |
% 176.74/27.54 | | | | | | | | | | | | | REDUCE: (748), (24782) imply:
% 176.74/27.54 | | | | | | | | | | | | | (24783) op(e1, e0) = unit
% 176.74/27.54 | | | | | | | | | | | | |
% 176.74/27.54 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_14, unit, e0, e1,
% 176.74/27.54 | | | | | | | | | | | | | simplifying with (227), (24783) gives:
% 176.74/27.54 | | | | | | | | | | | | | (24784) all_61_14 = unit
% 176.74/27.54 | | | | | | | | | | | | |
% 176.74/27.54 | | | | | | | | | | | | | REDUCE: (24759), (24784) imply:
% 176.74/27.54 | | | | | | | | | | | | | (24785) op(unit, e1) = all_61_12
% 176.74/27.54 | | | | | | | | | | | | |
% 176.74/27.54 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e1, all_61_12, e1, unit,
% 176.74/27.54 | | | | | | | | | | | | | simplifying with (8), (24785) gives:
% 176.74/27.54 | | | | | | | | | | | | | (24786) all_61_12 = e1
% 176.74/27.54 | | | | | | | | | | | | |
% 176.74/27.54 | | | | | | | | | | | | | REDUCE: (24771), (24786) imply:
% 176.74/27.54 | | | | | | | | | | | | | (24787) $false
% 176.74/27.54 | | | | | | | | | | | | |
% 176.74/27.54 | | | | | | | | | | | | | CLOSE: (24787) is inconsistent.
% 176.74/27.54 | | | | | | | | | | | | |
% 176.74/27.54 | | | | | | | | | | | | End of split
% 176.74/27.54 | | | | | | | | | | | |
% 176.74/27.54 | | | | | | | | | | | End of split
% 176.74/27.54 | | | | | | | | | | |
% 176.74/27.54 | | | | | | | | | | Case 2:
% 176.74/27.54 | | | | | | | | | | |
% 176.74/27.54 | | | | | | | | | | | (24788) all_36_2 = e0
% 176.74/27.54 | | | | | | | | | | | (24789) op(e3, e0) = all_36_1 & $i(all_36_1) & ( ~
% 176.74/27.54 | | | | | | | | | | | (all_36_1 = e2) | ( ~ (all_36_0 = e1) & op(e2,
% 176.74/27.54 | | | | | | | | | | | e3) = all_36_0 & $i(all_36_0)))
% 176.74/27.54 | | | | | | | | | | |
% 176.74/27.54 | | | | | | | | | | | ALPHA: (24789) implies:
% 176.74/27.54 | | | | | | | | | | | (24790) op(e3, e0) = all_36_1
% 176.74/27.54 | | | | | | | | | | |
% 176.74/27.54 | | | | | | | | | | | COMBINE_EQS: (557), (24788) imply:
% 176.74/27.54 | | | | | | | | | | | (24791) all_14_2 = e0
% 176.74/27.54 | | | | | | | | | | |
% 176.74/27.54 | | | | | | | | | | | COMBINE_EQS: (549), (24791) imply:
% 176.74/27.54 | | | | | | | | | | | (24792) all_44_2 = e0
% 176.74/27.54 | | | | | | | | | | |
% 176.74/27.54 | | | | | | | | | | | REDUCE: (603), (24791) imply:
% 176.74/27.54 | | | | | | | | | | | (24793) ~ (all_61_12 = e0)
% 176.74/27.54 | | | | | | | | | | |
% 176.74/27.54 | | | | | | | | | | | REDUCE: (698), (24791) imply:
% 176.74/27.54 | | | | | | | | | | | (24794) op(e3, e0) = all_65_0
% 176.74/27.54 | | | | | | | | | | |
% 176.74/27.54 | | | | | | | | | | | REDUCE: (732), (24791) imply:
% 176.74/27.54 | | | | | | | | | | | (24795) op(e1, e0) = all_65_32
% 176.74/27.54 | | | | | | | | | | |
% 176.74/27.54 | | | | | | | | | | | REDUCE: (749), (24791) imply:
% 176.74/27.54 | | | | | | | | | | | (24796) op(e0, e0) = all_65_49
% 176.74/27.54 | | | | | | | | | | |
% 176.74/27.54 | | | | | | | | | | | BETA: splitting (113) gives:
% 176.74/27.54 | | | | | | | | | | |
% 176.74/27.54 | | | | | | | | | | | Case 1:
% 176.74/27.54 | | | | | | | | | | | |
% 176.74/27.54 | | | | | | | | | | | | (24797) ~ (all_44_2 = e0)
% 176.74/27.54 | | | | | | | | | | | |
% 176.74/27.54 | | | | | | | | | | | | REDUCE: (24792), (24797) imply:
% 176.74/27.54 | | | | | | | | | | | | (24798) $false
% 176.74/27.54 | | | | | | | | | | | |
% 176.74/27.54 | | | | | | | | | | | | CLOSE: (24798) is inconsistent.
% 176.74/27.54 | | | | | | | | | | | |
% 176.74/27.54 | | | | | | | | | | | Case 2:
% 176.74/27.54 | | | | | | | | | | | |
% 176.74/27.54 | | | | | | | | | | | | (24799) op(e3, e0) = all_44_1 & $i(all_44_1) & ( ~
% 176.74/27.54 | | | | | | | | | | | | (all_44_1 = e1) | ( ~ (all_44_0 = e2) & op(e1,
% 176.74/27.54 | | | | | | | | | | | | e3) = all_44_0 & $i(all_44_0)))
% 176.74/27.54 | | | | | | | | | | | |
% 176.74/27.54 | | | | | | | | | | | | ALPHA: (24799) implies:
% 176.74/27.54 | | | | | | | | | | | | (24800) op(e3, e0) = all_44_1
% 176.74/27.54 | | | | | | | | | | | |
% 176.74/27.54 | | | | | | | | | | | | GROUND_INST: instantiating (50) with e2, all_65_49, e0, e0,
% 176.74/27.54 | | | | | | | | | | | | simplifying with (24711), (24796) gives:
% 176.74/27.54 | | | | | | | | | | | | (24801) all_65_49 = e2
% 176.74/27.54 | | | | | | | | | | | |
% 176.74/27.54 | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_14, all_65_32, e0,
% 176.74/27.54 | | | | | | | | | | | | e1, simplifying with (227), (24795) gives:
% 176.74/27.54 | | | | | | | | | | | | (24802) all_65_32 = all_61_14
% 176.74/27.54 | | | | | | | | | | | |
% 176.74/27.54 | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_12, all_44_1, e0,
% 176.74/27.54 | | | | | | | | | | | | e3, simplifying with (235), (24800) gives:
% 176.74/27.54 | | | | | | | | | | | | (24803) all_61_12 = all_44_1
% 176.74/27.54 | | | | | | | | | | | |
% 176.74/27.54 | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_12, all_65_0, e0,
% 176.74/27.54 | | | | | | | | | | | | e3, simplifying with (235), (24794) gives:
% 176.74/27.54 | | | | | | | | | | | | (24804) all_65_0 = all_61_12
% 176.74/27.54 | | | | | | | | | | | |
% 176.74/27.54 | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_36_1, all_65_0, e0,
% 176.74/27.54 | | | | | | | | | | | | e3, simplifying with (24790), (24794) gives:
% 176.74/27.54 | | | | | | | | | | | | (24805) all_65_0 = all_36_1
% 176.74/27.54 | | | | | | | | | | | |
% 176.74/27.54 | | | | | | | | | | | | COMBINE_EQS: (24804), (24805) imply:
% 176.74/27.54 | | | | | | | | | | | | (24806) all_61_12 = all_36_1
% 176.74/27.54 | | | | | | | | | | | |
% 176.74/27.54 | | | | | | | | | | | | SIMP: (24806) implies:
% 176.74/27.54 | | | | | | | | | | | | (24807) all_61_12 = all_36_1
% 176.74/27.54 | | | | | | | | | | | |
% 176.74/27.54 | | | | | | | | | | | | COMBINE_EQS: (24803), (24807) imply:
% 176.74/27.54 | | | | | | | | | | | | (24808) all_44_1 = all_36_1
% 176.74/27.54 | | | | | | | | | | | |
% 176.74/27.54 | | | | | | | | | | | | COMBINE_EQS: (491), (24807) imply:
% 176.74/27.54 | | | | | | | | | | | | (24809) all_63_3 = all_36_1
% 176.74/27.54 | | | | | | | | | | | |
% 176.74/27.54 | | | | | | | | | | | | REDUCE: (179), (24807) imply:
% 176.74/27.54 | | | | | | | | | | | | (24810) ~ (all_61_14 = all_36_1)
% 176.74/27.54 | | | | | | | | | | | |
% 176.74/27.54 | | | | | | | | | | | | SIMP: (24810) implies:
% 176.74/27.54 | | | | | | | | | | | | (24811) ~ (all_61_14 = all_36_1)
% 176.74/27.54 | | | | | | | | | | | |
% 176.74/27.54 | | | | | | | | | | | | REDUCE: (24756), (24807) imply:
% 176.74/27.54 | | | | | | | | | | | | (24812) ~ (all_36_1 = all_20_1)
% 176.74/27.54 | | | | | | | | | | | |
% 176.74/27.54 | | | | | | | | | | | | REDUCE: (24757), (24807) imply:
% 176.74/27.54 | | | | | | | | | | | | (24813) ~ (all_36_1 = e2)
% 176.74/27.54 | | | | | | | | | | | |
% 176.74/27.54 | | | | | | | | | | | | REDUCE: (24793), (24807) imply:
% 176.74/27.54 | | | | | | | | | | | | (24814) ~ (all_36_1 = e0)
% 176.74/27.54 | | | | | | | | | | | |
% 176.74/27.54 | | | | | | | | | | | | BETA: splitting (157) gives:
% 176.74/27.54 | | | | | | | | | | | |
% 176.74/27.54 | | | | | | | | | | | | Case 1:
% 176.74/27.54 | | | | | | | | | | | | |
% 176.74/27.54 | | | | | | | | | | | | | (24815) ~ (all_58_3 = e1)
% 176.74/27.54 | | | | | | | | | | | | |
% 176.74/27.54 | | | | | | | | | | | | | REDUCE: (475), (24815) imply:
% 176.74/27.54 | | | | | | | | | | | | | (24816) ~ (all_52_3 = e1)
% 176.74/27.54 | | | | | | | | | | | | |
% 176.74/27.54 | | | | | | | | | | | | | REF_CLOSE: (8), (9), (23), (50), (148), (149), (158), (160),
% 176.74/27.54 | | | | | | | | | | | | | (161), (162), (163), (164), (225), (231), (232),
% 176.74/27.54 | | | | | | | | | | | | | (475), (478), (481), (484), (538), (539), (630),
% 176.74/27.54 | | | | | | | | | | | | | (633), (663), (728), (731), (748), (765), (21466),
% 176.74/27.54 | | | | | | | | | | | | | (21765), (24136), (24140), (24186), (24188),
% 176.74/27.54 | | | | | | | | | | | | | (24194), (24711), (24747), (24816) are
% 176.74/27.54 | | | | | | | | | | | | | inconsistent by sub-proof #9.
% 176.74/27.54 | | | | | | | | | | | | |
% 176.74/27.54 | | | | | | | | | | | | Case 2:
% 176.74/27.54 | | | | | | | | | | | | |
% 176.74/27.54 | | | | | | | | | | | | | (24817) all_58_2 = e0
% 176.74/27.54 | | | | | | | | | | | | |
% 176.74/27.54 | | | | | | | | | | | | | COMBINE_EQS: (478), (24817) imply:
% 176.74/27.54 | | | | | | | | | | | | | (24818) all_52_2 = e0
% 176.74/27.54 | | | | | | | | | | | | |
% 176.74/27.54 | | | | | | | | | | | | | SIMP: (24818) implies:
% 176.74/27.54 | | | | | | | | | | | | | (24819) all_52_2 = e0
% 176.74/27.54 | | | | | | | | | | | | |
% 176.74/27.54 | | | | | | | | | | | | | REDUCE: (748), (24819) imply:
% 176.74/27.54 | | | | | | | | | | | | | (24820) op(e1, e0) = unit
% 176.74/27.54 | | | | | | | | | | | | |
% 176.74/27.54 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_14, unit, e0, e1,
% 176.74/27.54 | | | | | | | | | | | | | simplifying with (227), (24820) gives:
% 176.74/27.54 | | | | | | | | | | | | | (24821) all_61_14 = unit
% 176.74/27.54 | | | | | | | | | | | | |
% 176.74/27.54 | | | | | | | | | | | | | COMBINE_EQS: (505), (24821) imply:
% 176.74/27.54 | | | | | | | | | | | | | (24822) all_63_11 = unit
% 176.74/27.54 | | | | | | | | | | | | |
% 176.74/27.54 | | | | | | | | | | | | | REDUCE: (24811), (24821) imply:
% 176.74/27.54 | | | | | | | | | | | | | (24823) ~ (all_36_1 = unit)
% 176.74/27.54 | | | | | | | | | | | | |
% 176.74/27.54 | | | | | | | | | | | | | SIMP: (24823) implies:
% 176.74/27.54 | | | | | | | | | | | | | (24824) ~ (all_36_1 = unit)
% 176.74/27.54 | | | | | | | | | | | | |
% 176.74/27.54 | | | | | | | | | | | | | REDUCE: (24746), (24821) imply:
% 176.74/27.54 | | | | | | | | | | | | | (24825) ~ (all_20_1 = unit)
% 176.74/27.54 | | | | | | | | | | | | |
% 176.74/27.54 | | | | | | | | | | | | | SIMP: (24825) implies:
% 176.74/27.54 | | | | | | | | | | | | | (24826) ~ (all_20_1 = unit)
% 176.74/27.54 | | | | | | | | | | | | |
% 176.74/27.54 | | | | | | | | | | | | | REDUCE: (24177), (24821) imply:
% 176.74/27.54 | | | | | | | | | | | | | (24827) ~ (all_12_1 = unit)
% 176.74/27.54 | | | | | | | | | | | | |
% 176.74/27.54 | | | | | | | | | | | | | SIMP: (24827) implies:
% 176.74/27.54 | | | | | | | | | | | | | (24828) ~ (all_12_1 = unit)
% 176.74/27.54 | | | | | | | | | | | | |
% 176.74/27.54 | | | | | | | | | | | | | REDUCE: (24747), (24821) imply:
% 176.74/27.54 | | | | | | | | | | | | | (24829) ~ (unit = e2)
% 176.74/27.54 | | | | | | | | | | | | |
% 176.74/27.54 | | | | | | | | | | | | | REDUCE: (24739), (24821) imply:
% 176.74/27.54 | | | | | | | | | | | | | (24830) op(unit, e0) = all_12_1
% 176.74/27.54 | | | | | | | | | | | | |
% 176.74/27.54 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e0, all_12_1, e0, unit,
% 176.74/27.54 | | | | | | | | | | | | | simplifying with (7), (24830) gives:
% 176.74/27.54 | | | | | | | | | | | | | (24831) all_12_1 = e0
% 176.74/27.54 | | | | | | | | | | | | |
% 176.74/27.54 | | | | | | | | | | | | | REDUCE: (24735), (24831) imply:
% 176.74/27.54 | | | | | | | | | | | | | (24832) ~ (all_20_1 = e0)
% 176.74/27.54 | | | | | | | | | | | | |
% 176.74/27.54 | | | | | | | | | | | | | REDUCE: (24828), (24831) imply:
% 176.74/27.54 | | | | | | | | | | | | | (24833) ~ (unit = e0)
% 176.74/27.54 | | | | | | | | | | | | |
% 176.74/27.54 | | | | | | | | | | | | | SIMP: (24833) implies:
% 176.74/27.54 | | | | | | | | | | | | | (24834) ~ (unit = e0)
% 176.74/27.54 | | | | | | | | | | | | |
% 176.74/27.54 | | | | | | | | | | | | | REF_CLOSE: (258), (260), (268), (21765), (24731), (24736),
% 176.74/27.54 | | | | | | | | | | | | | (24809), (24812), (24813), (24814), (24822),
% 176.74/27.54 | | | | | | | | | | | | | (24824), (24826), (24829), (24832), (24834) are
% 176.74/27.54 | | | | | | | | | | | | | inconsistent by sub-proof #135.
% 176.74/27.54 | | | | | | | | | | | | |
% 176.74/27.54 | | | | | | | | | | | | End of split
% 176.74/27.54 | | | | | | | | | | | |
% 176.74/27.54 | | | | | | | | | | | End of split
% 176.74/27.54 | | | | | | | | | | |
% 176.74/27.54 | | | | | | | | | | End of split
% 176.74/27.54 | | | | | | | | | |
% 176.74/27.54 | | | | | | | | | End of split
% 176.74/27.54 | | | | | | | | |
% 176.74/27.54 | | | | | | | | End of split
% 176.74/27.54 | | | | | | | |
% 176.74/27.54 | | | | | | | Case 2:
% 176.74/27.54 | | | | | | | |
% 176.74/27.54 | | | | | | | | (24835) all_14_2 = e2
% 176.74/27.54 | | | | | | | | (24836) op(e3, e2) = all_14_1 & $i(all_14_1) & ( ~ (all_14_1
% 176.74/27.54 | | | | | | | | = e0) | ( ~ (all_14_0 = e1) & op(e0, e3) =
% 176.74/27.54 | | | | | | | | all_14_0 & $i(all_14_0)))
% 176.74/27.54 | | | | | | | |
% 176.74/27.54 | | | | | | | | ALPHA: (24836) implies:
% 176.74/27.54 | | | | | | | | (24837) op(e3, e2) = all_14_1
% 176.74/27.54 | | | | | | | | (24838) ~ (all_14_1 = e0) | ( ~ (all_14_0 = e1) & op(e0, e3)
% 176.74/27.54 | | | | | | | | = all_14_0 & $i(all_14_0))
% 176.74/27.54 | | | | | | | |
% 176.74/27.54 | | | | | | | | COMBINE_EQS: (561), (24835) imply:
% 176.74/27.54 | | | | | | | | (24839) all_26_2 = e2
% 176.74/27.54 | | | | | | | |
% 176.74/27.54 | | | | | | | | REDUCE: (597), (24835) imply:
% 176.74/27.54 | | | | | | | | (24840) ~ (all_61_3 = e2)
% 176.74/27.54 | | | | | | | |
% 176.74/27.54 | | | | | | | | REDUCE: (599), (24835) imply:
% 176.74/27.54 | | | | | | | | (24841) ~ (all_61_4 = e2)
% 176.74/27.54 | | | | | | | |
% 176.74/27.54 | | | | | | | | REDUCE: (603), (24835) imply:
% 176.74/27.54 | | | | | | | | (24842) ~ (all_61_12 = e2)
% 176.74/27.54 | | | | | | | |
% 176.74/27.54 | | | | | | | | REDUCE: (21507), (24835) imply:
% 176.74/27.54 | | | | | | | | (24843) ~ (all_4_1 = e2)
% 176.74/27.54 | | | | | | | |
% 176.74/27.54 | | | | | | | | SIMP: (24843) implies:
% 176.74/27.54 | | | | | | | | (24844) ~ (all_4_1 = e2)
% 176.74/27.54 | | | | | | | |
% 176.74/27.54 | | | | | | | | REDUCE: (21538), (24835) imply:
% 176.74/27.54 | | | | | | | | (24845) op(e2, e1) = all_65_32
% 176.74/27.54 | | | | | | | |
% 176.74/27.54 | | | | | | | | REDUCE: (637), (24835) imply:
% 176.74/27.54 | | | | | | | | (24846) op(e2, e0) = all_65_3
% 176.74/27.54 | | | | | | | |
% 176.74/27.54 | | | | | | | | REDUCE: (21515), (24835) imply:
% 176.74/27.54 | | | | | | | | (24847) op(all_4_1, e1) = e2
% 176.74/27.54 | | | | | | | |
% 176.74/27.54 | | | | | | | | REDUCE: (698), (24835) imply:
% 176.74/27.54 | | | | | | | | (24848) op(e3, e2) = all_65_0
% 176.74/27.54 | | | | | | | |
% 176.74/27.54 | | | | | | | | REDUCE: (67), (24835) imply:
% 176.74/27.54 | | | | | | | | (24849) op(e3, e3) = e2
% 176.74/27.54 | | | | | | | |
% 176.74/27.54 | | | | | | | | REDUCE: (715), (24835) imply:
% 176.74/27.54 | | | | | | | | (24850) op(e2, e2) = all_65_16
% 176.74/27.54 | | | | | | | |
% 176.74/27.54 | | | | | | | | REDUCE: (749), (24835) imply:
% 176.74/27.54 | | | | | | | | (24851) op(e0, e2) = all_65_49
% 176.74/27.54 | | | | | | | |
% 176.74/27.54 | | | | | | | | BETA: splitting (86) gives:
% 176.74/27.54 | | | | | | | |
% 176.74/27.54 | | | | | | | | Case 1:
% 176.74/27.54 | | | | | | | | |
% 176.74/27.54 | | | | | | | | | (24852) ~ (all_26_2 = e2)
% 176.74/27.54 | | | | | | | | |
% 176.74/27.54 | | | | | | | | | REDUCE: (24839), (24852) imply:
% 176.74/27.54 | | | | | | | | | (24853) $false
% 176.74/27.54 | | | | | | | | |
% 176.74/27.54 | | | | | | | | | CLOSE: (24853) is inconsistent.
% 176.74/27.54 | | | | | | | | |
% 176.74/27.54 | | | | | | | | Case 2:
% 176.74/27.54 | | | | | | | | |
% 176.74/27.54 | | | | | | | | | (24854) op(e3, e2) = all_26_1 & $i(all_26_1) & ( ~
% 176.74/27.54 | | | | | | | | | (all_26_1 = e1) | ( ~ (all_26_0 = e0) & op(e1,
% 176.74/27.54 | | | | | | | | | e3) = all_26_0 & $i(all_26_0)))
% 176.74/27.54 | | | | | | | | |
% 176.74/27.54 | | | | | | | | | ALPHA: (24854) implies:
% 176.74/27.54 | | | | | | | | | (24855) op(e3, e2) = all_26_1
% 176.74/27.54 | | | | | | | | |
% 176.74/27.54 | | | | | | | | | GROUND_INST: instantiating (50) with all_61_7, all_65_49, e2,
% 176.74/27.54 | | | | | | | | | e0, simplifying with (225), (24851) gives:
% 176.74/27.54 | | | | | | | | | (24856) all_65_49 = all_61_7
% 176.74/27.54 | | | | | | | | |
% 176.74/27.54 | | | | | | | | | GROUND_INST: instantiating (50) with all_61_13, all_65_3, e0,
% 176.74/27.54 | | | | | | | | | e2, simplifying with (231), (24846) gives:
% 176.74/27.54 | | | | | | | | | (24857) all_65_3 = all_61_13
% 176.74/27.54 | | | | | | | | |
% 176.74/27.54 | | | | | | | | | GROUND_INST: instantiating (50) with all_12_1, all_65_32, e1,
% 176.74/27.54 | | | | | | | | | e2, simplifying with (24136), (24845) gives:
% 176.74/27.54 | | | | | | | | | (24858) all_65_32 = all_12_1
% 176.74/27.54 | | | | | | | | |
% 176.74/27.54 | | | | | | | | | GROUND_INST: instantiating (50) with e1, all_65_16, e2, e2,
% 176.74/27.54 | | | | | | | | | simplifying with (24148), (24850) gives:
% 176.74/27.54 | | | | | | | | | (24859) all_65_16 = e1
% 176.74/27.54 | | | | | | | | |
% 176.74/27.54 | | | | | | | | | GROUND_INST: instantiating (50) with all_61_4, all_26_1, e2,
% 176.74/27.54 | | | | | | | | | e3, simplifying with (237), (24855) gives:
% 176.74/27.55 | | | | | | | | | (24860) all_61_4 = all_26_1
% 176.74/27.55 | | | | | | | | |
% 176.74/27.55 | | | | | | | | | GROUND_INST: instantiating (50) with all_61_4, all_65_0, e2,
% 176.74/27.55 | | | | | | | | | e3, simplifying with (237), (24848) gives:
% 176.74/27.55 | | | | | | | | | (24861) all_65_0 = all_61_4
% 176.74/27.55 | | | | | | | | |
% 176.74/27.55 | | | | | | | | | GROUND_INST: instantiating (50) with all_14_1, all_65_0, e2,
% 176.74/27.55 | | | | | | | | | e3, simplifying with (24837), (24848) gives:
% 176.74/27.55 | | | | | | | | | (24862) all_65_0 = all_14_1
% 176.74/27.55 | | | | | | | | |
% 176.74/27.55 | | | | | | | | | COMBINE_EQS: (24861), (24862) imply:
% 176.74/27.55 | | | | | | | | | (24863) all_61_4 = all_14_1
% 176.74/27.55 | | | | | | | | |
% 176.74/27.55 | | | | | | | | | SIMP: (24863) implies:
% 176.74/27.55 | | | | | | | | | (24864) all_61_4 = all_14_1
% 176.74/27.55 | | | | | | | | |
% 176.74/27.55 | | | | | | | | | COMBINE_EQS: (24860), (24864) imply:
% 176.74/27.55 | | | | | | | | | (24865) all_26_1 = all_14_1
% 176.74/27.55 | | | | | | | | |
% 176.74/27.55 | | | | | | | | | COMBINE_EQS: (24204), (24864) imply:
% 176.74/27.55 | | | | | | | | | (24866) all_63_4 = all_14_1
% 176.74/27.55 | | | | | | | | |
% 176.74/27.55 | | | | | | | | | REDUCE: (24206), (24864) imply:
% 176.74/27.55 | | | | | | | | | (24867) ~ (all_61_3 = all_14_1)
% 176.74/27.55 | | | | | | | | |
% 176.74/27.55 | | | | | | | | | REDUCE: (202), (24864) imply:
% 176.74/27.55 | | | | | | | | | (24868) ~ (all_61_7 = all_14_1)
% 176.74/27.55 | | | | | | | | |
% 176.74/27.55 | | | | | | | | | SIMP: (24868) implies:
% 176.74/27.55 | | | | | | | | | (24869) ~ (all_61_7 = all_14_1)
% 176.74/27.55 | | | | | | | | |
% 176.74/27.55 | | | | | | | | | REDUCE: (24841), (24864) imply:
% 176.74/27.55 | | | | | | | | | (24870) ~ (all_14_1 = e2)
% 176.74/27.55 | | | | | | | | |
% 176.74/27.55 | | | | | | | | | REDUCE: (24208), (24864) imply:
% 176.74/27.55 | | | | | | | | | (24871) ~ (all_14_1 = e1)
% 176.74/27.55 | | | | | | | | |
% 176.74/27.55 | | | | | | | | | REDUCE: (682), (24856) imply:
% 176.74/27.55 | | | | | | | | | (24872) op(all_61_3, e3) = all_61_7
% 176.74/27.55 | | | | | | | | |
% 176.74/27.55 | | | | | | | | | REDUCE: (24209), (24859), (24864) imply:
% 176.74/27.55 | | | | | | | | | (24873) op(all_14_1, e3) = e1
% 176.74/27.55 | | | | | | | | |
% 176.74/27.55 | | | | | | | | | REDUCE: (701), (24857) imply:
% 176.74/27.55 | | | | | | | | | (24874) op(e3, all_61_12) = all_61_13
% 176.74/27.55 | | | | | | | | |
% 176.74/27.55 | | | | | | | | | BETA: splitting (77) gives:
% 176.74/27.55 | | | | | | | | |
% 176.74/27.55 | | | | | | | | | Case 1:
% 176.74/27.55 | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | (24875) ~ (all_20_2 = e2)
% 176.74/27.55 | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | BETA: splitting (89) gives:
% 176.74/27.55 | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | Case 1:
% 176.74/27.55 | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | (24876) ~ (all_28_2 = e3)
% 176.74/27.55 | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | REDUCE: (563), (24876) imply:
% 176.74/27.55 | | | | | | | | | | | (24877) ~ (all_20_2 = e3)
% 176.74/27.55 | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | BETA: splitting (110) gives:
% 176.74/27.55 | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | Case 1:
% 176.74/27.55 | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | (24878) ~ (all_42_2 = e1)
% 176.74/27.55 | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | REDUCE: (532), (24878) imply:
% 176.74/27.55 | | | | | | | | | | | | (24879) ~ (all_20_2 = e1)
% 176.74/27.55 | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | BETA: splitting (256) gives:
% 176.74/27.55 | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | Case 1:
% 176.74/27.55 | | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | | (24880) all_63_15 = e3
% 176.74/27.55 | | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | | REF_CLOSE: (422), (24877), (24880) are inconsistent by
% 176.74/27.55 | | | | | | | | | | | | | sub-proof #501.
% 176.74/27.55 | | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | Case 2:
% 176.74/27.55 | | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | | (24881) all_63_15 = e2 | all_63_15 = e1 | all_63_15 = e0
% 176.74/27.55 | | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | | BETA: splitting (24881) gives:
% 176.74/27.55 | | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | | Case 1:
% 176.74/27.55 | | | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | | | (24882) all_63_15 = e2
% 176.74/27.55 | | | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | | | REF_CLOSE: (422), (24875), (24882) are inconsistent by
% 176.74/27.55 | | | | | | | | | | | | | | sub-proof #500.
% 176.74/27.55 | | | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | | Case 2:
% 176.74/27.55 | | | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | | | (24883) all_63_15 = e1 | all_63_15 = e0
% 176.74/27.55 | | | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | | | BETA: splitting (24883) gives:
% 176.74/27.55 | | | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | | | Case 1:
% 176.74/27.55 | | | | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | | | | (24884) all_63_15 = e1
% 176.74/27.55 | | | | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | | | | REF_CLOSE: (422), (24879), (24884) are inconsistent by
% 176.74/27.55 | | | | | | | | | | | | | | | sub-proof #499.
% 176.74/27.55 | | | | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | | | Case 2:
% 176.74/27.55 | | | | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | | | | (24885) all_63_15 = e0
% 176.74/27.55 | | | | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | | | | COMBINE_EQS: (422), (24885) imply:
% 176.74/27.55 | | | | | | | | | | | | | | | (24886) all_20_2 = e0
% 176.74/27.55 | | | | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | | | | SIMP: (24886) implies:
% 176.74/27.55 | | | | | | | | | | | | | | | (24887) all_20_2 = e0
% 176.74/27.55 | | | | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | | | | REDUCE: (625), (24887) imply:
% 176.74/27.55 | | | | | | | | | | | | | | | (24888) ~ (all_61_12 = e0)
% 176.74/27.55 | | | | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | | | | REDUCE: (713), (24887) imply:
% 176.74/27.55 | | | | | | | | | | | | | | | (24889) op(e3, e0) = all_65_15
% 176.74/27.55 | | | | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_12, all_65_15, e0,
% 176.74/27.55 | | | | | | | | | | | | | | | e3, simplifying with (235), (24889) gives:
% 176.74/27.55 | | | | | | | | | | | | | | | (24890) all_65_15 = all_61_12
% 176.74/27.55 | | | | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | | | | BETA: splitting (159) gives:
% 176.74/27.55 | | | | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | | | | Case 1:
% 176.74/27.55 | | | | | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | | | | | (24891) ~ (all_58_3 = e3)
% 176.74/27.55 | | | | | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | | | | | REDUCE: (475), (24891) imply:
% 176.74/27.55 | | | | | | | | | | | | | | | | (24892) ~ (all_52_3 = e3)
% 176.74/27.55 | | | | | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8), (20), (50), (151), (162), (165), (166),
% 176.74/27.55 | | | | | | | | | | | | | | | | (167), (168), (267), (475), (478), (481), (484),
% 176.74/27.55 | | | | | | | | | | | | | | | | (534), (714), (21521), (21765), (21766), (24148),
% 176.74/27.55 | | | | | | | | | | | | | | | | (24837), (24838), (24847), (24849), (24866),
% 176.74/27.55 | | | | | | | | | | | | | | | | (24870), (24871), (24873), (24892) are
% 176.74/27.55 | | | | | | | | | | | | | | | | inconsistent by sub-proof #8.
% 176.74/27.55 | | | | | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | | | | Case 2:
% 176.74/27.55 | | | | | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | | | | | (24893) all_58_0 = e0
% 176.74/27.55 | | | | | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | | | | | COMBINE_EQS: (484), (24893) imply:
% 176.74/27.55 | | | | | | | | | | | | | | | | (24894) all_52_0 = e0
% 176.74/27.55 | | | | | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | | | | | SIMP: (24894) implies:
% 176.74/27.55 | | | | | | | | | | | | | | | | (24895) all_52_0 = e0
% 176.74/27.55 | | | | | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | | | | | REDUCE: (714), (24895) imply:
% 176.74/27.55 | | | | | | | | | | | | | | | | (24896) op(e3, e0) = unit
% 176.74/27.55 | | | | | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_12, unit, e0, e3,
% 176.74/27.55 | | | | | | | | | | | | | | | | simplifying with (235), (24896) gives:
% 176.74/27.55 | | | | | | | | | | | | | | | | (24897) all_61_12 = unit
% 176.74/27.55 | | | | | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | | | | | REDUCE: (179), (24897) imply:
% 176.74/27.55 | | | | | | | | | | | | | | | | (24898) ~ (all_61_14 = unit)
% 176.74/27.55 | | | | | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | | | | | SIMP: (24898) implies:
% 176.74/27.55 | | | | | | | | | | | | | | | | (24899) ~ (all_61_14 = unit)
% 176.74/27.55 | | | | | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | | | | | REDUCE: (21505), (24897) imply:
% 176.74/27.55 | | | | | | | | | | | | | | | | (24900) ~ (all_4_1 = unit)
% 176.74/27.55 | | | | | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | | | | | SIMP: (24900) implies:
% 176.74/27.55 | | | | | | | | | | | | | | | | (24901) ~ (all_4_1 = unit)
% 176.74/27.55 | | | | | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | | | | | REDUCE: (24842), (24897) imply:
% 176.74/27.55 | | | | | | | | | | | | | | | | (24902) ~ (unit = e2)
% 176.74/27.55 | | | | | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | | | | | REDUCE: (24888), (24897) imply:
% 176.74/27.55 | | | | | | | | | | | | | | | | (24903) ~ (unit = e0)
% 176.74/27.55 | | | | | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | | | | | BETA: splitting (21766) gives:
% 176.74/27.55 | | | | | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | | | | | Case 1:
% 176.74/27.55 | | | | | | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | | | | | | (24904) unit = e2
% 176.74/27.55 | | | | | | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | | | | | | REDUCE: (24902), (24904) imply:
% 176.74/27.55 | | | | | | | | | | | | | | | | | (24905) $false
% 176.74/27.55 | | | | | | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | | | | | | CLOSE: (24905) is inconsistent.
% 176.74/27.55 | | | | | | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | | | | | Case 2:
% 176.74/27.55 | | | | | | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | | | | | | (24906) unit = e1 | unit = e0
% 176.74/27.55 | | | | | | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | | | | | | BETA: splitting (24906) gives:
% 176.74/27.55 | | | | | | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | | | | | | Case 1:
% 176.74/27.55 | | | | | | | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | | | | | | | (24907) unit = e1
% 176.74/27.55 | | | | | | | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | | | | | | | REDUCE: (24899), (24907) imply:
% 176.74/27.55 | | | | | | | | | | | | | | | | | | (24908) ~ (all_61_14 = e1)
% 176.74/27.55 | | | | | | | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | | | | | | | REDUCE: (24901), (24907) imply:
% 176.74/27.55 | | | | | | | | | | | | | | | | | | (24909) ~ (all_4_1 = e1)
% 176.74/27.55 | | | | | | | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | | | | | | | BETA: splitting (263) gives:
% 176.74/27.55 | | | | | | | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | | | | | | | Case 1:
% 176.74/27.55 | | | | | | | | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | | | | | | | | (24910) all_63_8 = e3
% 176.74/27.55 | | | | | | | | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (21490), (24910) imply:
% 176.74/27.55 | | | | | | | | | | | | | | | | | | | (24911) all_4_1 = e3
% 176.74/27.55 | | | | | | | | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | | | | | | | | REDUCE: (21508), (24911) imply:
% 176.74/27.55 | | | | | | | | | | | | | | | | | | | (24912) $false
% 176.74/27.55 | | | | | | | | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | | | | | | | | CLOSE: (24912) is inconsistent.
% 176.74/27.55 | | | | | | | | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | | | | | | | Case 2:
% 176.74/27.55 | | | | | | | | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | | | | | | | | (24913) all_63_8 = e2 | all_63_8 = e1 | all_63_8 = e0
% 176.74/27.55 | | | | | | | | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | | | | | | | | BETA: splitting (24913) gives:
% 176.74/27.55 | | | | | | | | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | | | | | | | | Case 1:
% 176.74/27.55 | | | | | | | | | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | | | | | | | | | (24914) all_63_8 = e2
% 176.74/27.55 | | | | | | | | | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (21490), (24914) imply:
% 176.74/27.55 | | | | | | | | | | | | | | | | | | | | (24915) all_4_1 = e2
% 176.74/27.55 | | | | | | | | | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | | | | | | | | | REDUCE: (24844), (24915) imply:
% 176.74/27.55 | | | | | | | | | | | | | | | | | | | | (24916) $false
% 176.74/27.55 | | | | | | | | | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | | | | | | | | | CLOSE: (24916) is inconsistent.
% 176.74/27.55 | | | | | | | | | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | | | | | | | | Case 2:
% 176.74/27.55 | | | | | | | | | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | | | | | | | | | (24917) all_63_8 = e1 | all_63_8 = e0
% 176.74/27.55 | | | | | | | | | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | | | | | | | | | BETA: splitting (24917) gives:
% 176.74/27.55 | | | | | | | | | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.74/27.55 | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | | | | | | | | | | (24918) all_63_8 = e1
% 176.74/27.55 | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (21490), (24918) imply:
% 176.74/27.55 | | | | | | | | | | | | | | | | | | | | | (24919) all_4_1 = e1
% 176.74/27.55 | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | | | | | | | | | | REDUCE: (24909), (24919) imply:
% 176.74/27.55 | | | | | | | | | | | | | | | | | | | | | (24920) $false
% 176.74/27.55 | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | | | | | | | | | | CLOSE: (24920) is inconsistent.
% 176.74/27.55 | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.74/27.55 | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | | | | | | | | | | (24921) all_63_8 = e0
% 176.74/27.55 | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (21490), (24921) imply:
% 176.74/27.55 | | | | | | | | | | | | | | | | | | | | | (24922) all_4_1 = e0
% 176.74/27.55 | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | | | | | | | | | | REDUCE: (21498), (24922) imply:
% 176.74/27.55 | | | | | | | | | | | | | | | | | | | | | (24923) ~ (all_61_14 = e0)
% 176.74/27.55 | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | | | | | | | | | | REDUCE: (24182), (24922) imply:
% 176.74/27.55 | | | | | | | | | | | | | | | | | | | | | (24924) ~ (all_12_1 = e0)
% 176.74/27.55 | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (260), (265), (505), (21458), (24172), (24177),
% 176.74/27.55 | | | | | | | | | | | | | | | | | | | | | (24183), (24184), (24908), (24923), (24924) are
% 176.74/27.55 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #298.
% 176.74/27.55 | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | | | | | | | | | End of split
% 176.74/27.55 | | | | | | | | | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | | | | | | | | End of split
% 176.74/27.55 | | | | | | | | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | | | | | | | End of split
% 176.74/27.55 | | | | | | | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | | | | | | Case 2:
% 176.74/27.55 | | | | | | | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | | | | | | | (24925) ~ (unit = e1)
% 176.74/27.55 | | | | | | | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | | | | | | | REF_CLOSE: (24903), (24906), (24925) are inconsistent by
% 176.74/27.55 | | | | | | | | | | | | | | | | | | sub-proof #419.
% 176.74/27.55 | | | | | | | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | | | | | | End of split
% 176.74/27.55 | | | | | | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | | | | | End of split
% 176.74/27.55 | | | | | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | | | | End of split
% 176.74/27.55 | | | | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | | | End of split
% 176.74/27.55 | | | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | | End of split
% 176.74/27.55 | | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | End of split
% 176.74/27.55 | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | Case 2:
% 176.74/27.55 | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | (24926) all_42_2 = e1
% 176.74/27.55 | | | | | | | | | | | | (24927) op(e0, e1) = all_42_1 & $i(all_42_1) & ( ~
% 176.74/27.55 | | | | | | | | | | | | (all_42_1 = e3) | ( ~ (all_42_0 = e2) & op(e3,
% 176.74/27.55 | | | | | | | | | | | | e0) = all_42_0 & $i(all_42_0)))
% 176.74/27.55 | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | ALPHA: (24927) implies:
% 176.74/27.55 | | | | | | | | | | | | (24928) op(e0, e1) = all_42_1
% 176.74/27.55 | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | COMBINE_EQS: (532), (24926) imply:
% 176.74/27.55 | | | | | | | | | | | | (24929) all_20_2 = e1
% 176.74/27.55 | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | SIMP: (24929) implies:
% 176.74/27.55 | | | | | | | | | | | | (24930) all_20_2 = e1
% 176.74/27.55 | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | REDUCE: (606), (24930) imply:
% 176.74/27.55 | | | | | | | | | | | | (24931) ~ (all_61_3 = e1)
% 176.74/27.55 | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | REDUCE: (617), (24930) imply:
% 176.74/27.55 | | | | | | | | | | | | (24932) ~ (all_61_7 = e1)
% 176.74/27.55 | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | REDUCE: (627), (24930) imply:
% 176.74/27.55 | | | | | | | | | | | | (24933) ~ (all_61_14 = e1)
% 176.74/27.55 | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | REDUCE: (24875), (24930) imply:
% 176.74/27.55 | | | | | | | | | | | | (24934) ~ (e2 = e1)
% 176.74/27.55 | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | REDUCE: (697), (24930) imply:
% 176.74/27.55 | | | | | | | | | | | | (24935) op(e1, e0) = all_65_78
% 176.74/27.55 | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | REDUCE: (713), (24930) imply:
% 176.74/27.55 | | | | | | | | | | | | (24936) op(e3, e1) = all_65_15
% 176.74/27.55 | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | REDUCE: (764), (24930) imply:
% 176.74/27.55 | | | | | | | | | | | | (24937) op(e0, e1) = all_65_78
% 176.74/27.55 | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_11, all_42_1, e1,
% 176.74/27.55 | | | | | | | | | | | | e0, simplifying with (224), (24928) gives:
% 176.74/27.55 | | | | | | | | | | | | (24938) all_61_11 = all_42_1
% 176.74/27.55 | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_11, all_65_78, e1,
% 176.74/27.55 | | | | | | | | | | | | e0, simplifying with (224), (24937) gives:
% 176.74/27.55 | | | | | | | | | | | | (24939) all_65_78 = all_61_11
% 176.74/27.55 | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_14, all_65_78, e0,
% 176.74/27.55 | | | | | | | | | | | | e1, simplifying with (227), (24935) gives:
% 176.74/27.55 | | | | | | | | | | | | (24940) all_65_78 = all_61_14
% 176.74/27.55 | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_4_1, all_65_15, e1,
% 176.74/27.55 | | | | | | | | | | | | e3, simplifying with (21521), (24936) gives:
% 176.74/27.55 | | | | | | | | | | | | (24941) all_65_15 = all_4_1
% 176.74/27.55 | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | COMBINE_EQS: (24939), (24940) imply:
% 176.74/27.55 | | | | | | | | | | | | (24942) all_61_11 = all_61_14
% 176.74/27.55 | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | SIMP: (24942) implies:
% 176.74/27.55 | | | | | | | | | | | | (24943) all_61_11 = all_61_14
% 176.74/27.55 | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | COMBINE_EQS: (24938), (24943) imply:
% 176.74/27.55 | | | | | | | | | | | | (24944) all_61_14 = all_42_1
% 176.74/27.55 | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | COMBINE_EQS: (505), (24944) imply:
% 176.74/27.55 | | | | | | | | | | | | (24945) all_63_11 = all_42_1
% 176.74/27.55 | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | REDUCE: (206), (24938) imply:
% 176.74/27.55 | | | | | | | | | | | | (24946) ~ (all_61_3 = all_42_1)
% 176.74/27.55 | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | REDUCE: (192), (24938) imply:
% 176.74/27.55 | | | | | | | | | | | | (24947) ~ (all_61_7 = all_42_1)
% 176.74/27.55 | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | REDUCE: (21458), (24944) imply:
% 176.74/27.55 | | | | | | | | | | | | (24948) ~ (all_42_1 = e3)
% 176.74/27.55 | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | REDUCE: (24933), (24944) imply:
% 176.74/27.55 | | | | | | | | | | | | (24949) ~ (all_42_1 = e1)
% 176.74/27.55 | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | REDUCE: (21518), (24938) imply:
% 176.74/27.55 | | | | | | | | | | | | (24950) op(all_42_1, e1) = all_61_3
% 176.74/27.55 | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | REDUCE: (680), (24944) imply:
% 176.74/27.55 | | | | | | | | | | | | (24951) op(all_42_1, e1) = all_65_46
% 176.74/27.55 | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | REDUCE: (746), (24938) imply:
% 176.74/27.55 | | | | | | | | | | | | (24952) op(e1, all_42_1) = all_65_46
% 176.74/27.55 | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | REDUCE: (21525), (24944) imply:
% 176.74/27.55 | | | | | | | | | | | | (24953) op(e1, all_42_1) = all_61_12
% 176.74/27.55 | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_12, all_65_46,
% 176.74/27.55 | | | | | | | | | | | | all_42_1, e1, simplifying with (24952), (24953)
% 176.74/27.55 | | | | | | | | | | | | gives:
% 176.74/27.55 | | | | | | | | | | | | (24954) all_65_46 = all_61_12
% 176.74/27.55 | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_3, all_65_46, e1,
% 176.74/27.55 | | | | | | | | | | | | all_42_1, simplifying with (24950), (24951) gives:
% 176.74/27.55 | | | | | | | | | | | | (24955) all_65_46 = all_61_3
% 176.74/27.55 | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | COMBINE_EQS: (24954), (24955) imply:
% 176.74/27.55 | | | | | | | | | | | | (24956) all_61_3 = all_61_12
% 176.74/27.55 | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | COMBINE_EQS: (506), (24956) imply:
% 176.74/27.55 | | | | | | | | | | | | (24957) all_63_12 = all_61_12
% 176.74/27.55 | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | REDUCE: (207), (24956) imply:
% 176.74/27.55 | | | | | | | | | | | | (24958) ~ (all_61_7 = all_61_12)
% 176.74/27.55 | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | SIMP: (24958) implies:
% 176.74/27.55 | | | | | | | | | | | | (24959) ~ (all_61_7 = all_61_12)
% 176.74/27.55 | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | REDUCE: (24946), (24956) imply:
% 176.74/27.55 | | | | | | | | | | | | (24960) ~ (all_61_12 = all_42_1)
% 176.74/27.55 | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | REDUCE: (24867), (24956) imply:
% 176.74/27.55 | | | | | | | | | | | | (24961) ~ (all_61_12 = all_14_1)
% 176.74/27.55 | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | REDUCE: (24931), (24956) imply:
% 176.74/27.55 | | | | | | | | | | | | (24962) ~ (all_61_12 = e1)
% 176.74/27.55 | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | REDUCE: (24872), (24956) imply:
% 176.74/27.55 | | | | | | | | | | | | (24963) op(all_61_12, e3) = all_61_7
% 176.74/27.55 | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | REDUCE: (710), (24956) imply:
% 176.74/27.55 | | | | | | | | | | | | (24964) op(e3, all_61_12) = all_65_12
% 176.74/27.55 | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_13, all_65_12,
% 176.74/27.55 | | | | | | | | | | | | all_61_12, e3, simplifying with (24874), (24964)
% 176.74/27.55 | | | | | | | | | | | | gives:
% 176.74/27.55 | | | | | | | | | | | | (24965) all_65_12 = all_61_13
% 176.74/27.55 | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_12, all_61_7, e3,
% 176.74/27.55 | | | | | | | | | | | | all_61_12, simplifying with (646), (24963) gives:
% 176.74/27.55 | | | | | | | | | | | | (24966) all_65_12 = all_61_7
% 176.74/27.55 | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | COMBINE_EQS: (24965), (24966) imply:
% 176.74/27.55 | | | | | | | | | | | | (24967) all_61_7 = all_61_13
% 176.74/27.55 | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | COMBINE_EQS: (508), (24967) imply:
% 176.74/27.55 | | | | | | | | | | | | (24968) all_63_13 = all_61_13
% 176.74/27.55 | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | REDUCE: (24959), (24967) imply:
% 176.74/27.55 | | | | | | | | | | | | (24969) ~ (all_61_12 = all_61_13)
% 176.74/27.55 | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | REDUCE: (24947), (24967) imply:
% 176.74/27.55 | | | | | | | | | | | | (24970) ~ (all_61_13 = all_42_1)
% 176.74/27.55 | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | REDUCE: (24869), (24967) imply:
% 176.74/27.55 | | | | | | | | | | | | (24971) ~ (all_61_13 = all_14_1)
% 176.74/27.55 | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | BETA: splitting (159) gives:
% 176.74/27.55 | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | Case 1:
% 176.74/27.55 | | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | | (24972) ~ (all_58_3 = e3)
% 176.74/27.55 | | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | | REDUCE: (475), (24972) imply:
% 176.74/27.55 | | | | | | | | | | | | | (24973) ~ (all_52_3 = e3)
% 176.74/27.55 | | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | | REF_CLOSE: (5), (8), (20), (50), (151), (162), (165), (166),
% 176.74/27.55 | | | | | | | | | | | | | (167), (168), (267), (475), (478), (481), (484),
% 176.74/27.55 | | | | | | | | | | | | | (534), (714), (21521), (21765), (21766), (24148),
% 176.74/27.55 | | | | | | | | | | | | | (24837), (24838), (24847), (24849), (24866),
% 176.74/27.55 | | | | | | | | | | | | | (24870), (24871), (24873), (24973) are
% 176.74/27.55 | | | | | | | | | | | | | inconsistent by sub-proof #8.
% 176.74/27.55 | | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | Case 2:
% 176.74/27.55 | | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | | (24974) all_58_0 = e0
% 176.74/27.55 | | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | | COMBINE_EQS: (484), (24974) imply:
% 176.74/27.55 | | | | | | | | | | | | | (24975) all_52_0 = e0
% 176.74/27.55 | | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | | SIMP: (24975) implies:
% 176.74/27.55 | | | | | | | | | | | | | (24976) all_52_0 = e0
% 176.74/27.55 | | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | | REDUCE: (714), (24976) imply:
% 176.74/27.55 | | | | | | | | | | | | | (24977) op(e3, e0) = unit
% 176.74/27.55 | | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_12, unit, e0, e3,
% 176.74/27.55 | | | | | | | | | | | | | simplifying with (235), (24977) gives:
% 176.74/27.55 | | | | | | | | | | | | | (24978) all_61_12 = unit
% 176.74/27.55 | | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | | COMBINE_EQS: (24957), (24978) imply:
% 176.74/27.55 | | | | | | | | | | | | | (24979) all_63_12 = unit
% 176.74/27.55 | | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | | REDUCE: (24960), (24978) imply:
% 176.74/27.55 | | | | | | | | | | | | | (24980) ~ (all_42_1 = unit)
% 176.74/27.55 | | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | | SIMP: (24980) implies:
% 176.74/27.55 | | | | | | | | | | | | | (24981) ~ (all_42_1 = unit)
% 176.74/27.55 | | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | | REDUCE: (24961), (24978) imply:
% 176.74/27.55 | | | | | | | | | | | | | (24982) ~ (all_14_1 = unit)
% 176.74/27.55 | | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | | SIMP: (24982) implies:
% 176.74/27.55 | | | | | | | | | | | | | (24983) ~ (all_14_1 = unit)
% 176.74/27.55 | | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | | REDUCE: (24842), (24978) imply:
% 176.74/27.55 | | | | | | | | | | | | | (24984) ~ (unit = e2)
% 176.74/27.55 | | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | | REDUCE: (24962), (24978) imply:
% 176.74/27.55 | | | | | | | | | | | | | (24985) ~ (unit = e1)
% 176.74/27.55 | | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | | BETA: splitting (21766) gives:
% 176.74/27.55 | | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | | Case 1:
% 176.74/27.55 | | | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | | | (24986) unit = e2
% 176.74/27.55 | | | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | | | REDUCE: (24984), (24986) imply:
% 176.74/27.55 | | | | | | | | | | | | | | (24987) $false
% 176.74/27.55 | | | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | | | CLOSE: (24987) is inconsistent.
% 176.74/27.55 | | | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | | Case 2:
% 176.74/27.55 | | | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | | | (24988) unit = e1 | unit = e0
% 176.74/27.55 | | | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | | | BETA: splitting (259) gives:
% 176.74/27.55 | | | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | | | Case 1:
% 176.74/27.55 | | | | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | | | | (24989) all_63_12 = e3
% 176.74/27.55 | | | | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | | | | COMBINE_EQS: (24979), (24989) imply:
% 176.74/27.55 | | | | | | | | | | | | | | | (24990) unit = e3
% 176.74/27.55 | | | | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | | | | REDUCE: (21765), (24990) imply:
% 176.74/27.55 | | | | | | | | | | | | | | | (24991) $false
% 176.74/27.55 | | | | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | | | | CLOSE: (24991) is inconsistent.
% 176.74/27.55 | | | | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | | | Case 2:
% 176.74/27.55 | | | | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | | | | (24992) all_63_12 = e2 | all_63_12 = e1 | all_63_12 = e0
% 176.74/27.55 | | | | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | | | | BETA: splitting (24988) gives:
% 176.74/27.55 | | | | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | | | | Case 1:
% 176.74/27.55 | | | | | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | | | | | (24993) unit = e1
% 176.74/27.55 | | | | | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | | | | | REDUCE: (24985), (24993) imply:
% 176.74/27.55 | | | | | | | | | | | | | | | | (24994) $false
% 176.74/27.55 | | | | | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | | | | | CLOSE: (24994) is inconsistent.
% 176.74/27.55 | | | | | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | | | | Case 2:
% 176.74/27.55 | | | | | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | | | | | (24995) unit = e0
% 176.74/27.55 | | | | | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | | | | | REDUCE: (24981), (24995) imply:
% 176.74/27.55 | | | | | | | | | | | | | | | | (24996) ~ (all_42_1 = e0)
% 176.74/27.55 | | | | | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | | | | | REDUCE: (24983), (24995) imply:
% 176.74/27.55 | | | | | | | | | | | | | | | | (24997) ~ (all_14_1 = e0)
% 176.74/27.55 | | | | | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | | | | | BETA: splitting (260) gives:
% 176.74/27.55 | | | | | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | | | | | Case 1:
% 176.74/27.55 | | | | | | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | | | | | | (24998) all_63_11 = e3
% 176.74/27.55 | | | | | | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | | | | | | COMBINE_EQS: (24945), (24998) imply:
% 176.74/27.55 | | | | | | | | | | | | | | | | | (24999) all_42_1 = e3
% 176.74/27.55 | | | | | | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | | | | | | REDUCE: (24948), (24999) imply:
% 176.74/27.55 | | | | | | | | | | | | | | | | | (25000) $false
% 176.74/27.55 | | | | | | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | | | | | | CLOSE: (25000) is inconsistent.
% 176.74/27.55 | | | | | | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | | | | | Case 2:
% 176.74/27.55 | | | | | | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | | | | | | (25001) all_63_11 = e2 | all_63_11 = e1 | all_63_11 = e0
% 176.74/27.55 | | | | | | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | | | | | | BETA: splitting (25001) gives:
% 176.74/27.55 | | | | | | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | | | | | | Case 1:
% 176.74/27.55 | | | | | | | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | | | | | | | (25002) all_63_11 = e2
% 176.74/27.55 | | | | | | | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (24945), (25002) imply:
% 176.74/27.55 | | | | | | | | | | | | | | | | | | (25003) all_42_1 = e2
% 176.74/27.55 | | | | | | | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | | | | | | | REDUCE: (24970), (25003) imply:
% 176.74/27.55 | | | | | | | | | | | | | | | | | | (25004) ~ (all_61_13 = e2)
% 176.74/27.55 | | | | | | | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | | | | | | | BETA: splitting (258) gives:
% 176.74/27.55 | | | | | | | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | | | | | | | Case 1:
% 176.74/27.55 | | | | | | | | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | | | | | | | | (25005) all_63_13 = e3
% 176.74/27.55 | | | | | | | | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (24968), (25005) imply:
% 176.74/27.55 | | | | | | | | | | | | | | | | | | | (25006) all_61_13 = e3
% 176.74/27.55 | | | | | | | | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | | | | | | | | REDUCE: (24971), (25006) imply:
% 176.74/27.55 | | | | | | | | | | | | | | | | | | | (25007) ~ (all_14_1 = e3)
% 176.74/27.55 | | | | | | | | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | | | | | | | | SIMP: (25007) implies:
% 176.74/27.55 | | | | | | | | | | | | | | | | | | | (25008) ~ (all_14_1 = e3)
% 176.74/27.55 | | | | | | | | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (267), (24866), (24870), (24871), (24997), (25008)
% 176.74/27.55 | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #353.
% 176.74/27.55 | | | | | | | | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | | | | | | | Case 2:
% 176.74/27.55 | | | | | | | | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | | | | | | | | (25009) ~ (all_63_13 = e3)
% 176.74/27.55 | | | | | | | | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | | | | | | | | REDUCE: (24968), (25009) imply:
% 176.74/27.55 | | | | | | | | | | | | | | | | | | | (25010) ~ (all_61_13 = e3)
% 176.74/27.55 | | | | | | | | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (180), (264), (498), (24141), (24842), (24957),
% 176.74/27.55 | | | | | | | | | | | | | | | | | | | (24962), (24992), (25004), (25010) are
% 176.74/27.55 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #105.
% 176.74/27.55 | | | | | | | | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | | | | | | | End of split
% 176.74/27.55 | | | | | | | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | | | | | | Case 2:
% 176.74/27.55 | | | | | | | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | | | | | | | (25011) all_63_11 = e1 | all_63_11 = e0
% 176.74/27.55 | | | | | | | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | | | | | | | REF_CLOSE: (24945), (24949), (24996), (25011) are
% 176.74/27.55 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #451.
% 176.74/27.55 | | | | | | | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | | | | | | End of split
% 176.74/27.55 | | | | | | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | | | | | End of split
% 176.74/27.55 | | | | | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | | | | End of split
% 176.74/27.55 | | | | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | | | End of split
% 176.74/27.55 | | | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | | End of split
% 176.74/27.55 | | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | End of split
% 176.74/27.55 | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | End of split
% 176.74/27.55 | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | Case 2:
% 176.74/27.55 | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | (25012) all_28_2 = e3
% 176.74/27.55 | | | | | | | | | | | (25013) op(e0, e3) = all_28_1 & $i(all_28_1) & ( ~
% 176.74/27.55 | | | | | | | | | | | (all_28_1 = e2) | ( ~ (all_28_0 = e1) & op(e2,
% 176.74/27.55 | | | | | | | | | | | e0) = all_28_0 & $i(all_28_0)))
% 176.74/27.55 | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | ALPHA: (25013) implies:
% 176.74/27.55 | | | | | | | | | | | (25014) op(e0, e3) = all_28_1
% 176.74/27.55 | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | COMBINE_EQS: (563), (25012) imply:
% 176.74/27.55 | | | | | | | | | | | (25015) all_20_2 = e3
% 176.74/27.55 | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | REDUCE: (694), (25015) imply:
% 176.74/27.55 | | | | | | | | | | | (25016) op(e3, e3) = all_65_73
% 176.74/27.55 | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | REDUCE: (695), (25015) imply:
% 176.74/27.55 | | | | | | | | | | | (25017) op(e3, e2) = all_65_75
% 176.74/27.55 | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | REDUCE: (696), (25015) imply:
% 176.74/27.55 | | | | | | | | | | | (25018) op(e3, e1) = all_65_77
% 176.74/27.55 | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | REDUCE: (697), (25015) imply:
% 176.74/27.55 | | | | | | | | | | | (25019) op(e3, e0) = all_65_78
% 176.74/27.55 | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | REDUCE: (713), (25015) imply:
% 176.74/27.55 | | | | | | | | | | | (25020) op(e3, e3) = all_65_15
% 176.74/27.55 | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | REDUCE: (764), (25015) imply:
% 176.74/27.55 | | | | | | | | | | | (25021) op(e0, e3) = all_65_78
% 176.74/27.55 | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_3, all_65_78, e3,
% 176.74/27.55 | | | | | | | | | | | e0, simplifying with (226), (25021) gives:
% 176.74/27.55 | | | | | | | | | | | (25022) all_65_78 = all_61_3
% 176.74/27.55 | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | GROUND_INST: instantiating (50) with all_28_1, all_65_78, e3,
% 176.74/27.55 | | | | | | | | | | | e0, simplifying with (25014), (25021) gives:
% 176.74/27.55 | | | | | | | | | | | (25023) all_65_78 = all_28_1
% 176.74/27.55 | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_12, all_65_78, e0,
% 176.74/27.55 | | | | | | | | | | | e3, simplifying with (235), (25019) gives:
% 176.74/27.55 | | | | | | | | | | | (25024) all_65_78 = all_61_12
% 176.74/27.55 | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | GROUND_INST: instantiating (50) with all_4_1, all_65_77, e1,
% 176.74/27.55 | | | | | | | | | | | e3, simplifying with (21521), (25018) gives:
% 176.74/27.55 | | | | | | | | | | | (25025) all_65_77 = all_4_1
% 176.74/27.55 | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | GROUND_INST: instantiating (50) with all_14_1, all_65_75, e2,
% 176.74/27.55 | | | | | | | | | | | e3, simplifying with (24837), (25017) gives:
% 176.74/27.55 | | | | | | | | | | | (25026) all_65_75 = all_14_1
% 176.74/27.55 | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | GROUND_INST: instantiating (50) with e2, all_65_15, e3, e3,
% 176.74/27.55 | | | | | | | | | | | simplifying with (24849), (25020) gives:
% 176.74/27.55 | | | | | | | | | | | (25027) all_65_15 = e2
% 176.74/27.55 | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_73, all_65_15, e3,
% 176.74/27.55 | | | | | | | | | | | e3, simplifying with (25016), (25020) gives:
% 176.74/27.55 | | | | | | | | | | | (25028) all_65_15 = all_65_73
% 176.74/27.55 | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | COMBINE_EQS: (25027), (25028) imply:
% 176.74/27.55 | | | | | | | | | | | (25029) all_65_73 = e2
% 176.74/27.55 | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | COMBINE_EQS: (25023), (25024) imply:
% 176.74/27.55 | | | | | | | | | | | (25030) all_61_12 = all_28_1
% 176.74/27.55 | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | SIMP: (25030) implies:
% 176.74/27.55 | | | | | | | | | | | (25031) all_61_12 = all_28_1
% 176.74/27.55 | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | COMBINE_EQS: (25022), (25023) imply:
% 176.74/27.55 | | | | | | | | | | | (25032) all_61_3 = all_28_1
% 176.74/27.55 | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | SIMP: (25032) implies:
% 176.74/27.55 | | | | | | | | | | | (25033) all_61_3 = all_28_1
% 176.74/27.55 | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | REDUCE: (685), (25033) imply:
% 176.74/27.55 | | | | | | | | | | | (25034) op(all_28_1, e0) = all_65_55
% 176.74/27.55 | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | REDUCE: (649), (25027), (25031) imply:
% 176.74/27.55 | | | | | | | | | | | (25035) op(all_28_1, e0) = e2
% 176.74/27.55 | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | REDUCE: (235), (25031) imply:
% 176.74/27.55 | | | | | | | | | | | (25036) op(e3, e0) = all_28_1
% 176.74/27.55 | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | GROUND_INST: instantiating (50) with e2, all_65_55, e0,
% 176.74/27.55 | | | | | | | | | | | all_28_1, simplifying with (25034), (25035) gives:
% 176.74/27.55 | | | | | | | | | | | (25037) all_65_55 = e2
% 176.74/27.55 | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | BETA: splitting (159) gives:
% 176.74/27.55 | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | Case 1:
% 176.74/27.55 | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | (25038) ~ (all_58_3 = e3)
% 176.74/27.55 | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | REDUCE: (475), (25038) imply:
% 176.74/27.55 | | | | | | | | | | | | (25039) ~ (all_52_3 = e3)
% 176.74/27.55 | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | REF_CLOSE: (5), (8), (20), (50), (151), (162), (165), (166),
% 176.74/27.55 | | | | | | | | | | | | (167), (168), (267), (475), (478), (481), (484),
% 176.74/27.55 | | | | | | | | | | | | (534), (714), (21521), (21765), (21766), (24148),
% 176.74/27.55 | | | | | | | | | | | | (24837), (24838), (24847), (24849), (24866),
% 176.74/27.55 | | | | | | | | | | | | (24870), (24871), (24873), (25039) are
% 176.74/27.55 | | | | | | | | | | | | inconsistent by sub-proof #8.
% 176.74/27.55 | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | Case 2:
% 176.74/27.55 | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | (25040) all_58_0 = e0
% 176.74/27.55 | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | COMBINE_EQS: (484), (25040) imply:
% 176.74/27.55 | | | | | | | | | | | | (25041) all_52_0 = e0
% 176.74/27.55 | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | SIMP: (25041) implies:
% 176.74/27.55 | | | | | | | | | | | | (25042) all_52_0 = e0
% 176.74/27.55 | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | REDUCE: (714), (25042) imply:
% 176.74/27.55 | | | | | | | | | | | | (25043) op(e3, e0) = unit
% 176.74/27.55 | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | | REF_CLOSE: (7), (19), (50), (25035), (25036), (25043) are
% 176.74/27.55 | | | | | | | | | | | | inconsistent by sub-proof #17.
% 176.74/27.55 | | | | | | | | | | | |
% 176.74/27.55 | | | | | | | | | | | End of split
% 176.74/27.55 | | | | | | | | | | |
% 176.74/27.56 | | | | | | | | | | End of split
% 176.74/27.56 | | | | | | | | | |
% 176.74/27.56 | | | | | | | | | Case 2:
% 176.74/27.56 | | | | | | | | | |
% 176.74/27.56 | | | | | | | | | | (25044) all_20_2 = e2
% 176.74/27.56 | | | | | | | | | |
% 176.74/27.56 | | | | | | | | | | REDUCE: (695), (25044) imply:
% 176.74/27.56 | | | | | | | | | | (25045) op(e2, e2) = all_65_75
% 176.74/27.56 | | | | | | | | | |
% 176.74/27.56 | | | | | | | | | | REDUCE: (696), (25044) imply:
% 176.74/27.56 | | | | | | | | | | (25046) op(e2, e1) = all_65_77
% 176.74/27.56 | | | | | | | | | |
% 176.74/27.56 | | | | | | | | | | REDUCE: (713), (25044) imply:
% 176.74/27.56 | | | | | | | | | | (25047) op(e3, e2) = all_65_15
% 176.74/27.56 | | | | | | | | | |
% 176.74/27.56 | | | | | | | | | | REDUCE: (730), (25044) imply:
% 176.74/27.56 | | | | | | | | | | (25048) op(e2, e2) = all_65_31
% 176.74/27.56 | | | | | | | | | |
% 176.74/27.56 | | | | | | | | | | GROUND_INST: instantiating (50) with all_12_1, all_65_77, e1,
% 176.74/27.56 | | | | | | | | | | e2, simplifying with (24136), (25046) gives:
% 176.74/27.56 | | | | | | | | | | (25049) all_65_77 = all_12_1
% 176.74/27.56 | | | | | | | | | |
% 176.74/27.56 | | | | | | | | | | GROUND_INST: instantiating (50) with e1, all_65_31, e2, e2,
% 176.74/27.56 | | | | | | | | | | simplifying with (24148), (25048) gives:
% 176.74/27.56 | | | | | | | | | | (25050) all_65_31 = e1
% 176.74/27.56 | | | | | | | | | |
% 176.74/27.56 | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_75, all_65_31, e2,
% 176.74/27.56 | | | | | | | | | | e2, simplifying with (25045), (25048) gives:
% 176.74/27.56 | | | | | | | | | | (25051) all_65_31 = all_65_75
% 176.74/27.56 | | | | | | | | | |
% 176.74/27.56 | | | | | | | | | | GROUND_INST: instantiating (50) with all_14_1, all_65_15, e2,
% 176.74/27.56 | | | | | | | | | | e3, simplifying with (24837), (25047) gives:
% 176.74/27.56 | | | | | | | | | | (25052) all_65_15 = all_14_1
% 176.74/27.56 | | | | | | | | | |
% 176.74/27.56 | | | | | | | | | | COMBINE_EQS: (25050), (25051) imply:
% 176.74/27.56 | | | | | | | | | | (25053) all_65_75 = e1
% 176.74/27.56 | | | | | | | | | |
% 176.74/27.56 | | | | | | | | | | BETA: splitting (157) gives:
% 176.74/27.56 | | | | | | | | | |
% 176.74/27.56 | | | | | | | | | | Case 1:
% 176.74/27.56 | | | | | | | | | | |
% 176.74/27.56 | | | | | | | | | | | (25054) ~ (all_58_3 = e1)
% 176.74/27.56 | | | | | | | | | | |
% 176.74/27.56 | | | | | | | | | | | REDUCE: (475), (25054) imply:
% 176.74/27.56 | | | | | | | | | | | (25055) ~ (all_52_3 = e1)
% 176.74/27.56 | | | | | | | | | | |
% 176.74/27.56 | | | | | | | | | | | BETA: splitting (160) gives:
% 176.74/27.56 | | | | | | | | | | |
% 176.74/27.56 | | | | | | | | | | | Case 1:
% 176.74/27.56 | | | | | | | | | | | |
% 176.74/27.56 | | | | | | | | | | | | (25056) ~ (all_58_2 = e0)
% 176.74/27.56 | | | | | | | | | | | |
% 176.74/27.56 | | | | | | | | | | | | REDUCE: (478), (25056) imply:
% 176.74/27.56 | | | | | | | | | | | | (25057) ~ (all_52_2 = e0)
% 176.74/27.56 | | | | | | | | | | | |
% 176.74/27.56 | | | | | | | | | | | | BETA: splitting (162) gives:
% 176.74/27.56 | | | | | | | | | | | |
% 176.74/27.56 | | | | | | | | | | | | Case 1:
% 176.74/27.56 | | | | | | | | | | | | |
% 176.74/27.56 | | | | | | | | | | | | | (25058) ~ (all_58_2 = e3)
% 176.74/27.56 | | | | | | | | | | | | |
% 176.74/27.56 | | | | | | | | | | | | | REDUCE: (478), (25058) imply:
% 176.74/27.56 | | | | | | | | | | | | | (25059) ~ (all_52_2 = e3)
% 176.74/27.56 | | | | | | | | | | | | |
% 176.74/27.56 | | | | | | | | | | | | | REF_CLOSE: (9), (50), (149), (161), (478), (481), (538),
% 176.74/27.56 | | | | | | | | | | | | | (731), (748), (21466), (21765), (24136), (24186),
% 176.74/27.56 | | | | | | | | | | | | | (25057), (25059) are inconsistent by sub-proof
% 176.74/27.56 | | | | | | | | | | | | | #12.
% 176.74/27.56 | | | | | | | | | | | | |
% 176.74/27.56 | | | | | | | | | | | | Case 2:
% 176.74/27.56 | | | | | | | | | | | | |
% 176.74/27.56 | | | | | | | | | | | | | (25060) all_58_0 = e1
% 176.74/27.56 | | | | | | | | | | | | |
% 176.74/27.56 | | | | | | | | | | | | | REF_CLOSE: (8), (20), (50), (484), (714), (21521), (24847),
% 176.74/27.56 | | | | | | | | | | | | | (25060) are inconsistent by sub-proof #21.
% 176.74/27.56 | | | | | | | | | | | | |
% 176.74/27.56 | | | | | | | | | | | | End of split
% 176.74/27.56 | | | | | | | | | | | |
% 176.74/27.56 | | | | | | | | | | | Case 2:
% 176.74/27.56 | | | | | | | | | | | |
% 176.74/27.56 | | | | | | | | | | | | (25061) all_58_3 = e1
% 176.74/27.56 | | | | | | | | | | | |
% 176.74/27.56 | | | | | | | | | | | | REF_CLOSE: (475), (25055), (25061) are inconsistent by
% 176.74/27.56 | | | | | | | | | | | | sub-proof #460.
% 176.74/27.56 | | | | | | | | | | | |
% 176.74/27.56 | | | | | | | | | | | End of split
% 176.74/27.56 | | | | | | | | | | |
% 176.74/27.56 | | | | | | | | | | Case 2:
% 176.74/27.56 | | | | | | | | | | |
% 176.74/27.56 | | | | | | | | | | | (25062) all_58_3 = e1
% 176.74/27.56 | | | | | | | | | | | (25063) all_58_2 = e0
% 176.74/27.56 | | | | | | | | | | |
% 176.74/27.56 | | | | | | | | | | | COMBINE_EQS: (478), (25063) imply:
% 176.74/27.56 | | | | | | | | | | | (25064) all_52_2 = e0
% 176.74/27.56 | | | | | | | | | | |
% 176.74/27.56 | | | | | | | | | | | SIMP: (25064) implies:
% 176.74/27.56 | | | | | | | | | | | (25065) all_52_2 = e0
% 176.74/27.56 | | | | | | | | | | |
% 176.74/27.56 | | | | | | | | | | | REF_CLOSE: (5), (20), (50), (151), (165), (168), (267),
% 176.74/27.56 | | | | | | | | | | | (475), (481), (484), (534), (629), (630), (714),
% 176.74/27.56 | | | | | | | | | | | (21765), (21766), (24148), (24837), (24838),
% 176.74/27.56 | | | | | | | | | | | (24849), (24866), (24870), (24871), (24873),
% 176.74/27.56 | | | | | | | | | | | (25062), (25065) are inconsistent by sub-proof
% 176.74/27.56 | | | | | | | | | | | #297.
% 176.74/27.56 | | | | | | | | | | |
% 176.74/27.56 | | | | | | | | | | End of split
% 176.74/27.56 | | | | | | | | | |
% 176.74/27.56 | | | | | | | | | End of split
% 176.74/27.56 | | | | | | | | |
% 176.74/27.56 | | | | | | | | End of split
% 176.74/27.56 | | | | | | | |
% 176.74/27.56 | | | | | | | End of split
% 176.74/27.56 | | | | | | |
% 176.74/27.56 | | | | | | End of split
% 176.74/27.56 | | | | | |
% 176.74/27.56 | | | | | End of split
% 176.74/27.56 | | | | |
% 176.74/27.56 | | | | End of split
% 176.74/27.56 | | | |
% 176.74/27.56 | | | Case 2:
% 176.74/27.56 | | | |
% 176.74/27.56 | | | | (25066) all_6_2 = e3
% 176.74/27.56 | | | | (25067) op(e2, e3) = all_6_1 & $i(all_6_1) & ( ~ (all_6_1 = e1) | ( ~
% 176.74/27.56 | | | | (all_6_0 = e0) & op(e1, e2) = all_6_0 & $i(all_6_0)))
% 176.74/27.56 | | | |
% 176.74/27.56 | | | | ALPHA: (25067) implies:
% 176.74/27.56 | | | | (25068) op(e2, e3) = all_6_1
% 176.74/27.56 | | | |
% 176.74/27.56 | | | | COMBINE_EQS: (578), (25066) imply:
% 176.74/27.56 | | | | (25069) all_30_2 = e3
% 176.74/27.56 | | | |
% 176.74/27.56 | | | | REDUCE: (607), (25066) imply:
% 176.74/27.56 | | | | (25070) ~ (all_61_4 = e3)
% 176.74/27.56 | | | |
% 176.74/27.56 | | | | REDUCE: (611), (25066) imply:
% 176.74/27.56 | | | | (25071) ~ (all_61_7 = e3)
% 176.74/27.56 | | | |
% 176.74/27.56 | | | | REDUCE: (615), (25066) imply:
% 176.74/27.56 | | | | (25072) ~ (all_61_13 = e3)
% 176.74/27.56 | | | |
% 176.74/27.56 | | | | REDUCE: (654), (25066) imply:
% 176.74/27.56 | | | | (25073) op(e3, e3) = all_65_20
% 176.74/27.56 | | | |
% 176.74/27.56 | | | | REDUCE: (655), (25066) imply:
% 176.74/27.56 | | | | (25074) op(e3, e2) = all_65_21
% 176.74/27.56 | | | |
% 176.74/27.56 | | | | REDUCE: (656), (25066) imply:
% 176.74/27.56 | | | | (25075) op(e3, e1) = all_65_22
% 176.74/27.56 | | | |
% 176.74/27.56 | | | | REDUCE: (657), (25066) imply:
% 176.74/27.56 | | | | (25076) op(e3, e0) = all_65_23
% 176.74/27.56 | | | |
% 176.74/27.56 | | | | REDUCE: (703), (25066) imply:
% 176.74/27.56 | | | | (25077) op(e3, e3) = all_65_5
% 176.74/27.56 | | | |
% 176.74/27.56 | | | | REDUCE: (720), (25066) imply:
% 176.74/27.56 | | | | (25078) op(e2, e3) = all_65_21
% 176.74/27.56 | | | |
% 176.74/27.56 | | | | REDUCE: (55), (25066) imply:
% 176.74/27.56 | | | | (25079) op(e2, e2) = e3
% 176.74/27.56 | | | |
% 176.74/27.56 | | | | REDUCE: (737), (25066) imply:
% 176.74/27.56 | | | | (25080) op(e1, e3) = all_65_37
% 176.74/27.56 | | | |
% 176.74/27.56 | | | | REDUCE: (754), (25066) imply:
% 176.74/27.56 | | | | (25081) op(e0, e3) = all_65_59
% 176.74/27.56 | | | |
% 176.74/27.56 | | | | BETA: splitting (92) gives:
% 176.74/27.56 | | | |
% 176.74/27.56 | | | | Case 1:
% 176.74/27.56 | | | | |
% 176.74/27.56 | | | | | (25082) ~ (all_30_2 = e3)
% 176.74/27.56 | | | | |
% 176.74/27.56 | | | | | REDUCE: (25069), (25082) imply:
% 176.74/27.56 | | | | | (25083) $false
% 176.74/27.56 | | | | |
% 176.74/27.56 | | | | | CLOSE: (25083) is inconsistent.
% 176.74/27.56 | | | | |
% 176.74/27.56 | | | | Case 2:
% 176.74/27.56 | | | | |
% 176.74/27.56 | | | | | (25084) op(e2, e3) = all_30_1 & $i(all_30_1) & ( ~ (all_30_1 = e0)
% 176.74/27.56 | | | | | | ( ~ (all_30_0 = e1) & op(e0, e2) = all_30_0 &
% 176.74/27.56 | | | | | $i(all_30_0)))
% 176.74/27.56 | | | | |
% 176.74/27.56 | | | | | ALPHA: (25084) implies:
% 176.74/27.56 | | | | | (25085) op(e2, e3) = all_30_1
% 176.74/27.56 | | | | |
% 176.74/27.56 | | | | | GROUND_INST: instantiating (50) with all_61_3, all_65_59, e3, e0,
% 176.74/27.56 | | | | | simplifying with (226), (25081) gives:
% 176.74/27.56 | | | | | (25086) all_65_59 = all_61_3
% 176.74/27.56 | | | | |
% 176.74/27.56 | | | | | GROUND_INST: instantiating (50) with all_4_1, all_65_37, e3, e1,
% 176.74/27.56 | | | | | simplifying with (21451), (25080) gives:
% 176.74/27.56 | | | | | (25087) all_65_37 = all_4_1
% 176.74/27.56 | | | | |
% 176.74/27.56 | | | | | GROUND_INST: instantiating (50) with all_61_1, all_30_1, e3, e2,
% 176.74/27.56 | | | | | simplifying with (234), (25085) gives:
% 176.74/27.56 | | | | | (25088) all_61_1 = all_30_1
% 176.74/27.56 | | | | |
% 176.74/27.56 | | | | | GROUND_INST: instantiating (50) with all_61_1, all_65_21, e3, e2,
% 176.74/27.56 | | | | | simplifying with (234), (25078) gives:
% 176.74/27.56 | | | | | (25089) all_65_21 = all_61_1
% 176.74/27.56 | | | | |
% 176.74/27.56 | | | | | GROUND_INST: instantiating (50) with all_6_1, all_65_21, e3, e2,
% 176.74/27.56 | | | | | simplifying with (25068), (25078) gives:
% 176.74/27.56 | | | | | (25090) all_65_21 = all_6_1
% 176.74/27.56 | | | | |
% 176.74/27.56 | | | | | GROUND_INST: instantiating (50) with all_61_12, all_65_23, e0, e3,
% 176.74/27.56 | | | | | simplifying with (235), (25076) gives:
% 176.74/27.56 | | | | | (25091) all_65_23 = all_61_12
% 176.74/27.56 | | | | |
% 176.74/27.56 | | | | | GROUND_INST: instantiating (50) with all_4_1, all_65_22, e1, e3,
% 176.74/27.56 | | | | | simplifying with (21521), (25075) gives:
% 176.74/27.56 | | | | | (25092) all_65_22 = all_4_1
% 176.74/27.56 | | | | |
% 176.74/27.56 | | | | | GROUND_INST: instantiating (50) with all_61_4, all_65_21, e2, e3,
% 176.74/27.56 | | | | | simplifying with (237), (25074) gives:
% 176.74/27.56 | | | | | (25093) all_65_21 = all_61_4
% 176.74/27.56 | | | | |
% 176.74/27.56 | | | | | GROUND_INST: instantiating (50) with all_14_2, all_65_5, e3, e3,
% 176.74/27.56 | | | | | simplifying with (67), (25077) gives:
% 176.74/27.56 | | | | | (25094) all_65_5 = all_14_2
% 176.74/27.56 | | | | |
% 176.74/27.56 | | | | | GROUND_INST: instantiating (50) with all_65_20, all_65_5, e3, e3,
% 176.74/27.56 | | | | | simplifying with (25073), (25077) gives:
% 176.74/27.56 | | | | | (25095) all_65_5 = all_65_20
% 176.74/27.56 | | | | |
% 176.74/27.56 | | | | | COMBINE_EQS: (25094), (25095) imply:
% 176.74/27.56 | | | | | (25096) all_65_20 = all_14_2
% 176.74/27.56 | | | | |
% 176.74/27.56 | | | | | COMBINE_EQS: (25089), (25090) imply:
% 176.74/27.56 | | | | | (25097) all_61_1 = all_6_1
% 176.74/27.56 | | | | |
% 176.74/27.56 | | | | | SIMP: (25097) implies:
% 176.74/27.56 | | | | | (25098) all_61_1 = all_6_1
% 176.74/27.56 | | | | |
% 176.74/27.56 | | | | | COMBINE_EQS: (25090), (25093) imply:
% 176.74/27.56 | | | | | (25099) all_61_4 = all_6_1
% 176.74/27.56 | | | | |
% 176.74/27.56 | | | | | SIMP: (25099) implies:
% 176.74/27.56 | | | | | (25100) all_61_4 = all_6_1
% 176.74/27.56 | | | | |
% 176.74/27.56 | | | | | COMBINE_EQS: (25088), (25098) imply:
% 176.74/27.56 | | | | | (25101) all_30_1 = all_6_1
% 176.74/27.56 | | | | |
% 176.74/27.56 | | | | | SIMP: (25101) implies:
% 176.74/27.56 | | | | | (25102) all_30_1 = all_6_1
% 176.74/27.56 | | | | |
% 176.74/27.56 | | | | | COMBINE_EQS: (493), (25098) imply:
% 176.74/27.56 | | | | | (25103) all_63_4 = all_6_1
% 176.74/27.56 | | | | |
% 176.74/27.56 | | | | | REDUCE: (215), (25098) imply:
% 176.74/27.56 | | | | | (25104) ~ (all_61_3 = all_6_1)
% 176.74/27.56 | | | | |
% 176.74/27.56 | | | | | SIMP: (25104) implies:
% 176.74/27.56 | | | | | (25105) ~ (all_61_3 = all_6_1)
% 176.74/27.56 | | | | |
% 176.74/27.56 | | | | | REDUCE: (213), (25098) imply:
% 176.74/27.56 | | | | | (25106) ~ (all_61_9 = all_6_1)
% 176.74/27.56 | | | | |
% 176.74/27.56 | | | | | SIMP: (25106) implies:
% 176.74/27.56 | | | | | (25107) ~ (all_61_9 = all_6_1)
% 176.74/27.56 | | | | |
% 176.74/27.56 | | | | | REDUCE: (212), (25098) imply:
% 176.74/27.56 | | | | | (25108) ~ (all_61_13 = all_6_1)
% 176.74/27.56 | | | | |
% 176.74/27.56 | | | | | SIMP: (25108) implies:
% 176.74/27.56 | | | | | (25109) ~ (all_61_13 = all_6_1)
% 176.74/27.56 | | | | |
% 176.74/27.56 | | | | | REDUCE: (200), (25100) imply:
% 176.74/27.56 | | | | | (25110) ~ (all_61_12 = all_6_1)
% 176.74/27.56 | | | | |
% 176.74/27.56 | | | | | SIMP: (25110) implies:
% 176.74/27.56 | | | | | (25111) ~ (all_61_12 = all_6_1)
% 176.74/27.56 | | | | |
% 176.74/27.56 | | | | | REDUCE: (599), (25100) imply:
% 176.74/27.56 | | | | | (25112) ~ (all_14_2 = all_6_1)
% 176.74/27.56 | | | | |
% 176.74/27.56 | | | | | SIMP: (25112) implies:
% 176.74/27.56 | | | | | (25113) ~ (all_14_2 = all_6_1)
% 176.74/27.56 | | | | |
% 176.74/27.56 | | | | | REDUCE: (25070), (25100) imply:
% 176.74/27.56 | | | | | (25114) ~ (all_6_1 = e3)
% 176.74/27.56 | | | | |
% 176.74/27.56 | | | | | REDUCE: (650), (25098) imply:
% 176.74/27.56 | | | | | (25115) op(all_6_1, e3) = all_65_16
% 176.74/27.56 | | | | |
% 176.74/27.56 | | | | | REDUCE: (651), (25098) imply:
% 176.74/27.56 | | | | | (25116) op(all_6_1, e2) = all_65_17
% 176.74/27.56 | | | | |
% 176.74/27.56 | | | | | REDUCE: (21536), (25098) imply:
% 176.74/27.56 | | | | | (25117) op(all_6_1, e1) = all_65_24
% 176.74/27.56 | | | | |
% 176.74/27.56 | | | | | REDUCE: (653), (25098) imply:
% 176.74/27.56 | | | | | (25118) op(all_6_1, e0) = all_65_19
% 176.74/27.56 | | | | |
% 176.74/27.56 | | | | | REDUCE: (638), (25100) imply:
% 176.74/27.56 | | | | | (25119) op(all_6_1, e3) = all_65_4
% 176.74/27.56 | | | | |
% 176.74/27.56 | | | | | REDUCE: (639), (25094), (25100) imply:
% 176.74/27.56 | | | | | (25120) op(all_6_1, e2) = all_14_2
% 176.74/27.56 | | | | |
% 176.74/27.56 | | | | | REDUCE: (640), (25100) imply:
% 176.74/27.56 | | | | | (25121) op(all_6_1, e1) = all_65_6
% 176.74/27.56 | | | | |
% 176.74/27.56 | | | | | REDUCE: (641), (25100) imply:
% 176.74/27.56 | | | | | (25122) op(all_6_1, e0) = all_65_7
% 176.74/27.56 | | | | |
% 176.74/27.56 | | | | | REDUCE: (671), (25087) imply:
% 176.74/27.56 | | | | | (25123) op(all_61_6, e2) = all_4_1
% 176.74/27.56 | | | | |
% 176.74/27.56 | | | | | REDUCE: (687), (25086) imply:
% 176.74/27.56 | | | | | (25124) op(all_61_7, e2) = all_61_3
% 176.74/27.56 | | | | |
% 176.74/27.56 | | | | | REDUCE: (21517), (25098) imply:
% 176.74/27.56 | | | | | (25125) op(all_61_9, e1) = all_6_1
% 176.74/27.56 | | | | |
% 176.74/27.56 | | | | | REDUCE: (702), (25098) imply:
% 176.74/27.56 | | | | | (25126) op(e3, all_6_1) = all_65_4
% 176.74/27.56 | | | | |
% 176.74/27.56 | | | | | REDUCE: (699), (25100) imply:
% 176.74/27.56 | | | | | (25127) op(e3, all_6_1) = all_65_1
% 176.74/27.56 | | | | |
% 176.74/27.56 | | | | | REDUCE: (237), (25100) imply:
% 176.74/27.56 | | | | | (25128) op(e3, e2) = all_6_1
% 176.74/27.56 | | | | |
% 176.74/27.56 | | | | | REDUCE: (716), (25100) imply:
% 176.74/27.56 | | | | | (25129) op(e2, all_6_1) = all_65_17
% 176.74/27.56 | | | | |
% 176.74/27.56 | | | | | REDUCE: (722), (25091) imply:
% 176.74/27.56 | | | | | (25130) op(e2, all_61_13) = all_61_12
% 176.74/27.56 | | | | |
% 176.74/27.56 | | | | | REDUCE: (736), (25098) imply:
% 176.74/27.56 | | | | | (25131) op(e1, all_6_1) = all_65_36
% 176.74/27.56 | | | | |
% 176.74/27.56 | | | | | REDUCE: (733), (25100) imply:
% 176.74/27.56 | | | | | (25132) op(e1, all_6_1) = all_65_33
% 176.74/27.56 | | | | |
% 176.74/27.56 | | | | | GROUND_INST: instantiating (50) with all_65_36, all_65_33, all_6_1,
% 176.74/27.56 | | | | | e1, simplifying with (25131), (25132) gives:
% 176.74/27.56 | | | | | (25133) all_65_33 = all_65_36
% 176.74/27.56 | | | | |
% 176.74/27.56 | | | | | GROUND_INST: instantiating (50) with all_65_4, all_65_1, all_6_1, e3,
% 176.74/27.56 | | | | | simplifying with (25126), (25127) gives:
% 176.74/27.56 | | | | | (25134) all_65_1 = all_65_4
% 176.74/27.56 | | | | |
% 176.74/27.56 | | | | | GROUND_INST: instantiating (50) with all_65_19, all_65_7, e0, all_6_1,
% 176.74/27.56 | | | | | simplifying with (25118), (25122) gives:
% 176.74/27.56 | | | | | (25135) all_65_7 = all_65_19
% 176.74/27.56 | | | | |
% 176.74/27.56 | | | | | GROUND_INST: instantiating (50) with all_65_24, all_65_6, e1, all_6_1,
% 176.74/27.56 | | | | | simplifying with (25117), (25121) gives:
% 176.74/27.56 | | | | | (25136) all_65_6 = all_65_24
% 176.74/27.56 | | | | |
% 176.74/27.56 | | | | | GROUND_INST: instantiating (50) with all_14_2, all_65_17, e2, all_6_1,
% 176.74/27.56 | | | | | simplifying with (25116), (25120) gives:
% 176.74/27.56 | | | | | (25137) all_65_17 = all_14_2
% 176.74/27.56 | | | | |
% 176.74/27.56 | | | | | GROUND_INST: instantiating (50) with all_65_16, all_65_4, e3, all_6_1,
% 176.74/27.56 | | | | | simplifying with (25115), (25119) gives:
% 176.74/27.56 | | | | | (25138) all_65_4 = all_65_16
% 176.74/27.56 | | | | |
% 176.74/27.56 | | | | | COMBINE_EQS: (25134), (25138) imply:
% 176.74/27.56 | | | | | (25139) all_65_1 = all_65_16
% 176.74/27.56 | | | | |
% 176.74/27.56 | | | | | REDUCE: (635), (25139) imply:
% 176.74/27.56 | | | | | (25140) op(all_14_2, e2) = all_65_16
% 176.74/27.56 | | | | |
% 176.74/27.56 | | | | | REDUCE: (21510), (25133) imply:
% 176.74/27.56 | | | | | (25141) op(all_4_1, e2) = all_65_36
% 176.74/27.56 | | | | |
% 176.74/27.56 | | | | | REDUCE: (25129), (25137) imply:
% 176.74/27.56 | | | | | (25142) op(e2, all_6_1) = all_14_2
% 176.74/27.56 | | | | |
% 176.74/27.56 | | | | | BETA: splitting (11) gives:
% 176.74/27.56 | | | | |
% 176.74/27.56 | | | | | Case 1:
% 176.74/27.56 | | | | | |
% 176.74/27.56 | | | | | | (25143) unit = e3
% 176.74/27.56 | | | | | |
% 176.74/27.56 | | | | | | REDUCE: (9), (25143) imply:
% 176.74/27.56 | | | | | | (25144) op(e3, e2) = e2
% 176.74/27.56 | | | | | |
% 176.74/27.56 | | | | | | REDUCE: (8), (25143) imply:
% 176.74/27.56 | | | | | | (25145) op(e3, e1) = e1
% 176.74/27.56 | | | | | |
% 176.74/27.56 | | | | | | REDUCE: (7), (25143) imply:
% 176.74/27.56 | | | | | | (25146) op(e3, e0) = e0
% 176.74/27.56 | | | | | |
% 176.74/27.56 | | | | | | REDUCE: (6), (25143) imply:
% 176.74/27.56 | | | | | | (25147) op(e3, e3) = e3
% 176.74/27.56 | | | | | |
% 176.74/27.56 | | | | | | REDUCE: (3), (25143) imply:
% 176.74/27.56 | | | | | | (25148) op(e0, e3) = e0
% 176.74/27.56 | | | | | |
% 176.74/27.56 | | | | | | GROUND_INST: instantiating (50) with all_61_3, e0, e3, e0,
% 176.74/27.56 | | | | | | simplifying with (226), (25148) gives:
% 176.74/27.56 | | | | | | (25149) all_61_3 = e0
% 176.74/27.56 | | | | | |
% 176.74/27.56 | | | | | | GROUND_INST: instantiating (50) with all_61_12, e0, e0, e3,
% 176.74/27.56 | | | | | | simplifying with (235), (25146) gives:
% 176.74/27.56 | | | | | | (25150) all_61_12 = e0
% 176.74/27.56 | | | | | |
% 176.74/27.56 | | | | | | GROUND_INST: instantiating (50) with all_4_1, e1, e1, e3,
% 176.74/27.56 | | | | | | simplifying with (21521), (25145) gives:
% 176.74/27.56 | | | | | | (25151) all_4_1 = e1
% 176.74/27.56 | | | | | |
% 176.74/27.56 | | | | | | GROUND_INST: instantiating (50) with all_6_1, e2, e2, e3,
% 176.74/27.56 | | | | | | simplifying with (25128), (25144) gives:
% 176.74/27.56 | | | | | | (25152) all_6_1 = e2
% 176.74/27.56 | | | | | |
% 176.74/27.56 | | | | | | GROUND_INST: instantiating (50) with all_14_2, e3, e3, e3,
% 176.74/27.56 | | | | | | simplifying with (67), (25147) gives:
% 176.74/27.56 | | | | | | (25153) all_14_2 = e3
% 176.74/27.56 | | | | | |
% 176.74/27.56 | | | | | | REDUCE: (207), (25149) imply:
% 176.74/27.56 | | | | | | (25154) ~ (all_61_7 = e0)
% 176.74/27.56 | | | | | |
% 176.74/27.56 | | | | | | SIMP: (25154) implies:
% 176.74/27.56 | | | | | | (25155) ~ (all_61_7 = e0)
% 176.74/27.56 | | | | | |
% 176.74/27.56 | | | | | | REDUCE: (206), (25149) imply:
% 176.74/27.56 | | | | | | (25156) ~ (all_61_11 = e0)
% 176.74/27.56 | | | | | |
% 176.74/27.56 | | | | | | SIMP: (25156) implies:
% 176.74/27.56 | | | | | | (25157) ~ (all_61_11 = e0)
% 176.74/27.56 | | | | | |
% 176.74/27.56 | | | | | | REDUCE: (25107), (25152) imply:
% 176.74/27.56 | | | | | | (25158) ~ (all_61_9 = e2)
% 176.74/27.56 | | | | | |
% 176.74/27.56 | | | | | | REDUCE: (21501), (25151) imply:
% 176.74/27.56 | | | | | | (25159) ~ (all_61_9 = e1)
% 176.74/27.56 | | | | | |
% 176.74/27.56 | | | | | | REDUCE: (21503), (25151) imply:
% 176.74/27.56 | | | | | | (25160) ~ (all_61_11 = e1)
% 176.74/27.56 | | | | | |
% 176.74/27.56 | | | | | | REDUCE: (179), (25150) imply:
% 176.74/27.56 | | | | | | (25161) ~ (all_61_14 = e0)
% 176.74/27.56 | | | | | |
% 176.74/27.56 | | | | | | SIMP: (25161) implies:
% 176.74/27.56 | | | | | | (25162) ~ (all_61_14 = e0)
% 176.74/27.56 | | | | | |
% 176.74/27.56 | | | | | | REDUCE: (625), (25150) imply:
% 176.74/27.56 | | | | | | (25163) ~ (all_20_2 = e0)
% 176.74/27.56 | | | | | |
% 176.74/27.56 | | | | | | SIMP: (25163) implies:
% 176.74/27.56 | | | | | | (25164) ~ (all_20_2 = e0)
% 176.74/27.56 | | | | | |
% 176.74/27.56 | | | | | | REDUCE: (21498), (25151) imply:
% 176.74/27.56 | | | | | | (25165) ~ (all_61_14 = e1)
% 176.74/27.56 | | | | | |
% 176.74/27.56 | | | | | | REDUCE: (649), (25150) imply:
% 176.74/27.56 | | | | | | (25166) op(e0, e0) = all_65_15
% 176.74/27.56 | | | | | |
% 176.74/27.56 | | | | | | REDUCE: (698), (25153) imply:
% 176.74/27.56 | | | | | | (25167) op(e3, e3) = all_65_0
% 176.74/27.56 | | | | | |
% 176.74/27.56 | | | | | | REDUCE: (752), (25150) imply:
% 176.74/27.56 | | | | | | (25168) op(e0, e0) = all_65_55
% 176.74/27.56 | | | | | |
% 176.74/27.56 | | | | | | BETA: splitting (173) gives:
% 176.74/27.56 | | | | | |
% 176.74/27.56 | | | | | | Case 1:
% 176.74/27.56 | | | | | | |
% 176.74/27.56 | | | | | | | (25169) ( ~ (all_60_0 = e3) & op(e3, e3) = all_60_0 &
% 176.74/27.56 | | | | | | | $i(all_60_0)) | ( ~ (all_60_1 = e3) & op(e2, e2) =
% 176.74/27.56 | | | | | | | all_60_1 & $i(all_60_1))
% 176.74/27.56 | | | | | | |
% 176.74/27.56 | | | | | | | BETA: splitting (25169) gives:
% 176.74/27.56 | | | | | | |
% 176.74/27.56 | | | | | | | Case 1:
% 176.74/27.56 | | | | | | | |
% 176.74/27.56 | | | | | | | | (25170) ~ (all_60_0 = e3) & op(e3, e3) = all_60_0 &
% 176.74/27.56 | | | | | | | | $i(all_60_0)
% 176.74/27.56 | | | | | | | |
% 176.74/27.56 | | | | | | | | ALPHA: (25170) implies:
% 176.74/27.56 | | | | | | | | (25171) ~ (all_60_0 = e3)
% 176.74/27.56 | | | | | | | | (25172) op(e3, e3) = all_60_0
% 176.74/27.56 | | | | | | | |
% 176.74/27.56 | | | | | | | | BETA: splitting (265) gives:
% 176.74/27.56 | | | | | | | |
% 176.74/27.56 | | | | | | | | Case 1:
% 176.74/27.56 | | | | | | | | |
% 176.74/27.56 | | | | | | | | | (25173) all_63_6 = e3
% 176.74/27.56 | | | | | | | | |
% 176.74/27.56 | | | | | | | | | REF_CLOSE: (497), (21456), (25173) are inconsistent by
% 176.74/27.56 | | | | | | | | | sub-proof #396.
% 176.74/27.56 | | | | | | | | |
% 176.74/27.56 | | | | | | | | Case 2:
% 176.74/27.56 | | | | | | | | |
% 176.74/27.56 | | | | | | | | | (25174) all_63_6 = e2 | all_63_6 = e1 | all_63_6 = e0
% 176.74/27.56 | | | | | | | | |
% 176.74/27.56 | | | | | | | | | BETA: splitting (25174) gives:
% 176.74/27.56 | | | | | | | | |
% 176.74/27.56 | | | | | | | | | Case 1:
% 176.74/27.56 | | | | | | | | | |
% 176.74/27.56 | | | | | | | | | | (25175) all_63_6 = e2
% 176.74/27.56 | | | | | | | | | |
% 176.74/27.56 | | | | | | | | | | REF_CLOSE: (497), (25158), (25175) are inconsistent by
% 176.74/27.56 | | | | | | | | | | sub-proof #413.
% 176.74/27.56 | | | | | | | | | |
% 176.74/27.56 | | | | | | | | | Case 2:
% 176.74/27.56 | | | | | | | | | |
% 176.74/27.56 | | | | | | | | | | (25176) all_63_6 = e1 | all_63_6 = e0
% 176.74/27.56 | | | | | | | | | |
% 176.74/27.56 | | | | | | | | | | BETA: splitting (257) gives:
% 176.74/27.56 | | | | | | | | | |
% 176.74/27.56 | | | | | | | | | | Case 1:
% 176.74/27.56 | | | | | | | | | | |
% 176.74/27.56 | | | | | | | | | | | (25177) all_63_14 = e3
% 176.74/27.56 | | | | | | | | | | |
% 176.74/27.56 | | | | | | | | | | | REF_CLOSE: (510), (21457), (25177) are inconsistent by
% 176.74/27.56 | | | | | | | | | | | sub-proof #55.
% 176.74/27.56 | | | | | | | | | | |
% 176.74/27.56 | | | | | | | | | | Case 2:
% 176.74/27.56 | | | | | | | | | | |
% 176.74/27.56 | | | | | | | | | | | (25178) all_63_14 = e2 | all_63_14 = e1 | all_63_14 = e0
% 176.74/27.56 | | | | | | | | | | |
% 176.74/27.56 | | | | | | | | | | | BETA: splitting (25178) gives:
% 176.74/27.56 | | | | | | | | | | |
% 176.74/27.56 | | | | | | | | | | | Case 1:
% 176.74/27.56 | | | | | | | | | | | |
% 176.74/27.56 | | | | | | | | | | | | (25179) all_63_14 = e2
% 176.74/27.56 | | | | | | | | | | | |
% 176.74/27.56 | | | | | | | | | | | | COMBINE_EQS: (510), (25179) imply:
% 176.74/27.56 | | | | | | | | | | | | (25180) all_61_11 = e2
% 176.74/27.56 | | | | | | | | | | | |
% 176.74/27.56 | | | | | | | | | | | | SIMP: (25180) implies:
% 176.74/27.56 | | | | | | | | | | | | (25181) all_61_11 = e2
% 176.74/27.56 | | | | | | | | | | | |
% 176.74/27.56 | | | | | | | | | | | | REDUCE: (192), (25181) imply:
% 176.74/27.56 | | | | | | | | | | | | (25182) ~ (all_61_7 = e2)
% 176.74/27.56 | | | | | | | | | | | |
% 176.74/27.56 | | | | | | | | | | | | REDUCE: (729), (25181) imply:
% 176.74/27.56 | | | | | | | | | | | | (25183) op(e2, e2) = all_65_30
% 176.74/27.56 | | | | | | | | | | | |
% 176.74/27.56 | | | | | | | | | | | | BETA: splitting (25176) gives:
% 176.74/27.56 | | | | | | | | | | | |
% 176.74/27.56 | | | | | | | | | | | | Case 1:
% 176.74/27.56 | | | | | | | | | | | | |
% 176.74/27.56 | | | | | | | | | | | | | (25184) all_63_6 = e1
% 176.74/27.56 | | | | | | | | | | | | |
% 176.74/27.56 | | | | | | | | | | | | | REF_CLOSE: (497), (25159), (25184) are inconsistent by
% 176.74/27.56 | | | | | | | | | | | | | sub-proof #412.
% 176.74/27.56 | | | | | | | | | | | | |
% 176.74/27.56 | | | | | | | | | | | | Case 2:
% 176.74/27.56 | | | | | | | | | | | | |
% 176.74/27.56 | | | | | | | | | | | | | (25185) all_63_6 = e0
% 176.74/27.56 | | | | | | | | | | | | |
% 176.74/27.56 | | | | | | | | | | | | | COMBINE_EQS: (497), (25185) imply:
% 176.74/27.56 | | | | | | | | | | | | | (25186) all_61_9 = e0
% 176.74/27.56 | | | | | | | | | | | | |
% 176.74/27.56 | | | | | | | | | | | | | SIMP: (25186) implies:
% 176.74/27.56 | | | | | | | | | | | | | (25187) all_61_9 = e0
% 176.74/27.56 | | | | | | | | | | | | |
% 176.74/27.56 | | | | | | | | | | | | | REDUCE: (661), (25187) imply:
% 176.74/27.56 | | | | | | | | | | | | | (25188) op(e0, e0) = all_65_27
% 176.74/27.56 | | | | | | | | | | | | |
% 176.74/27.56 | | | | | | | | | | | | | REDUCE: (755), (25187) imply:
% 176.74/27.56 | | | | | | | | | | | | | (25189) op(e0, e0) = all_65_61
% 176.74/27.56 | | | | | | | | | | | | |
% 176.74/27.56 | | | | | | | | | | | | | BETA: splitting (258) gives:
% 176.74/27.56 | | | | | | | | | | | | |
% 176.74/27.56 | | | | | | | | | | | | | Case 1:
% 176.74/27.56 | | | | | | | | | | | | | |
% 176.74/27.56 | | | | | | | | | | | | | | (25190) all_63_13 = e3
% 176.74/27.56 | | | | | | | | | | | | | |
% 176.74/27.56 | | | | | | | | | | | | | | REF_CLOSE: (508), (25071), (25190) are inconsistent by
% 176.74/27.56 | | | | | | | | | | | | | | sub-proof #526.
% 176.74/27.56 | | | | | | | | | | | | | |
% 176.74/27.56 | | | | | | | | | | | | | Case 2:
% 176.74/27.56 | | | | | | | | | | | | | |
% 176.74/27.56 | | | | | | | | | | | | | | (25191) all_63_13 = e2 | all_63_13 = e1 | all_63_13 = e0
% 176.74/27.56 | | | | | | | | | | | | | |
% 176.74/27.56 | | | | | | | | | | | | | | BETA: splitting (25191) gives:
% 176.74/27.56 | | | | | | | | | | | | | |
% 176.74/27.56 | | | | | | | | | | | | | | Case 1:
% 176.74/27.56 | | | | | | | | | | | | | | |
% 176.74/27.56 | | | | | | | | | | | | | | | (25192) all_63_13 = e2
% 176.74/27.56 | | | | | | | | | | | | | | |
% 176.74/27.56 | | | | | | | | | | | | | | | REF_CLOSE: (508), (25182), (25192) are inconsistent by
% 176.74/27.56 | | | | | | | | | | | | | | | sub-proof #525.
% 176.74/27.56 | | | | | | | | | | | | | | |
% 176.74/27.56 | | | | | | | | | | | | | | Case 2:
% 176.74/27.56 | | | | | | | | | | | | | | |
% 176.74/27.56 | | | | | | | | | | | | | | | (25193) all_63_13 = e1 | all_63_13 = e0
% 176.74/27.56 | | | | | | | | | | | | | | |
% 176.74/27.56 | | | | | | | | | | | | | | | BETA: splitting (260) gives:
% 176.74/27.56 | | | | | | | | | | | | | | |
% 176.74/27.56 | | | | | | | | | | | | | | | Case 1:
% 176.74/27.56 | | | | | | | | | | | | | | | |
% 176.74/27.56 | | | | | | | | | | | | | | | | (25194) all_63_11 = e3
% 176.74/27.56 | | | | | | | | | | | | | | | |
% 176.74/27.56 | | | | | | | | | | | | | | | | COMBINE_EQS: (505), (25194) imply:
% 176.74/27.56 | | | | | | | | | | | | | | | | (25195) all_61_14 = e3
% 176.74/27.56 | | | | | | | | | | | | | | | |
% 176.74/27.56 | | | | | | | | | | | | | | | | REDUCE: (21458), (25195) imply:
% 176.74/27.56 | | | | | | | | | | | | | | | | (25196) $false
% 176.74/27.56 | | | | | | | | | | | | | | | |
% 176.74/27.56 | | | | | | | | | | | | | | | | CLOSE: (25196) is inconsistent.
% 176.74/27.56 | | | | | | | | | | | | | | | |
% 176.74/27.56 | | | | | | | | | | | | | | | Case 2:
% 176.74/27.56 | | | | | | | | | | | | | | | |
% 176.74/27.56 | | | | | | | | | | | | | | | | (25197) all_63_11 = e2 | all_63_11 = e1 | all_63_11 = e0
% 176.74/27.56 | | | | | | | | | | | | | | | |
% 176.74/27.56 | | | | | | | | | | | | | | | | BETA: splitting (25197) gives:
% 176.74/27.56 | | | | | | | | | | | | | | | |
% 176.74/27.56 | | | | | | | | | | | | | | | | Case 1:
% 176.74/27.56 | | | | | | | | | | | | | | | | |
% 176.74/27.56 | | | | | | | | | | | | | | | | | (25198) all_63_11 = e2
% 176.74/27.56 | | | | | | | | | | | | | | | | |
% 176.74/27.56 | | | | | | | | | | | | | | | | | COMBINE_EQS: (505), (25198) imply:
% 176.74/27.56 | | | | | | | | | | | | | | | | | (25199) all_61_14 = e2
% 176.74/27.56 | | | | | | | | | | | | | | | | |
% 176.74/27.56 | | | | | | | | | | | | | | | | | REDUCE: (193), (25199) imply:
% 176.74/27.56 | | | | | | | | | | | | | | | | | (25200) ~ (all_61_6 = e2)
% 176.74/27.56 | | | | | | | | | | | | | | | | |
% 176.74/27.56 | | | | | | | | | | | | | | | | | REDUCE: (627), (25199) imply:
% 176.74/27.56 | | | | | | | | | | | | | | | | | (25201) ~ (all_20_2 = e2)
% 176.74/27.56 | | | | | | | | | | | | | | | | |
% 176.74/27.56 | | | | | | | | | | | | | | | | | SIMP: (25201) implies:
% 176.74/27.56 | | | | | | | | | | | | | | | | | (25202) ~ (all_20_2 = e2)
% 176.74/27.56 | | | | | | | | | | | | | | | | |
% 176.74/27.56 | | | | | | | | | | | | | | | | | REDUCE: (679), (25199) imply:
% 176.74/27.56 | | | | | | | | | | | | | | | | | (25203) op(e2, e2) = all_65_45
% 176.74/27.56 | | | | | | | | | | | | | | | | |
% 176.74/27.56 | | | | | | | | | | | | | | | | | BETA: splitting (25193) gives:
% 176.74/27.56 | | | | | | | | | | | | | | | | |
% 176.74/27.56 | | | | | | | | | | | | | | | | | Case 1:
% 176.74/27.56 | | | | | | | | | | | | | | | | | |
% 176.74/27.56 | | | | | | | | | | | | | | | | | | (25204) all_63_13 = e1
% 176.74/27.56 | | | | | | | | | | | | | | | | | |
% 176.74/27.56 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (508), (25204) imply:
% 176.74/27.56 | | | | | | | | | | | | | | | | | | (25205) all_61_7 = e1
% 176.74/27.56 | | | | | | | | | | | | | | | | | |
% 176.74/27.56 | | | | | | | | | | | | | | | | | | SIMP: (25205) implies:
% 176.74/27.56 | | | | | | | | | | | | | | | | | | (25206) all_61_7 = e1
% 176.74/27.56 | | | | | | | | | | | | | | | | | |
% 176.74/27.56 | | | | | | | | | | | | | | | | | | REDUCE: (195), (25206) imply:
% 176.74/27.56 | | | | | | | | | | | | | | | | | | (25207) ~ (all_61_6 = e1)
% 176.74/27.56 | | | | | | | | | | | | | | | | | |
% 176.74/27.56 | | | | | | | | | | | | | | | | | | REDUCE: (617), (25206) imply:
% 176.74/27.56 | | | | | | | | | | | | | | | | | | (25208) ~ (all_20_2 = e1)
% 176.74/27.56 | | | | | | | | | | | | | | | | | |
% 176.74/27.56 | | | | | | | | | | | | | | | | | | SIMP: (25208) implies:
% 176.74/27.56 | | | | | | | | | | | | | | | | | | (25209) ~ (all_20_2 = e1)
% 176.74/27.56 | | | | | | | | | | | | | | | | | |
% 176.74/27.56 | | | | | | | | | | | | | | | | | | REDUCE: (688), (25206) imply:
% 176.74/27.56 | | | | | | | | | | | | | | | | | | (25210) op(e1, e1) = all_65_61
% 176.74/27.56 | | | | | | | | | | | | | | | | | |
% 176.74/27.56 | | | | | | | | | | | | | | | | | | REDUCE: (745), (25206) imply:
% 176.74/27.56 | | | | | | | | | | | | | | | | | | (25211) op(e1, e1) = all_65_45
% 176.74/27.56 | | | | | | | | | | | | | | | | | |
% 176.74/27.56 | | | | | | | | | | | | | | | | | | BETA: splitting (262) gives:
% 176.74/27.56 | | | | | | | | | | | | | | | | | |
% 176.74/27.56 | | | | | | | | | | | | | | | | | | Case 1:
% 176.74/27.56 | | | | | | | | | | | | | | | | | | |
% 176.74/27.56 | | | | | | | | | | | | | | | | | | | (25212) all_63_9 = e3
% 176.74/27.56 | | | | | | | | | | | | | | | | | | |
% 176.74/27.56 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (501), (25212) imply:
% 176.74/27.56 | | | | | | | | | | | | | | | | | | | (25213) all_61_6 = e3
% 176.74/27.56 | | | | | | | | | | | | | | | | | | |
% 176.74/27.56 | | | | | | | | | | | | | | | | | | | REDUCE: (21454), (25213) imply:
% 176.74/27.56 | | | | | | | | | | | | | | | | | | | (25214) $false
% 176.74/27.56 | | | | | | | | | | | | | | | | | | |
% 176.74/27.56 | | | | | | | | | | | | | | | | | | | CLOSE: (25214) is inconsistent.
% 176.74/27.56 | | | | | | | | | | | | | | | | | | |
% 176.74/27.56 | | | | | | | | | | | | | | | | | | Case 2:
% 176.74/27.56 | | | | | | | | | | | | | | | | | | |
% 176.74/27.56 | | | | | | | | | | | | | | | | | | | (25215) all_63_9 = e2 | all_63_9 = e1 | all_63_9 = e0
% 176.74/27.56 | | | | | | | | | | | | | | | | | | |
% 176.74/27.56 | | | | | | | | | | | | | | | | | | | BETA: splitting (25215) gives:
% 176.74/27.56 | | | | | | | | | | | | | | | | | | |
% 176.74/27.56 | | | | | | | | | | | | | | | | | | | Case 1:
% 176.74/27.56 | | | | | | | | | | | | | | | | | | | |
% 176.74/27.56 | | | | | | | | | | | | | | | | | | | | (25216) all_63_9 = e2
% 176.74/27.56 | | | | | | | | | | | | | | | | | | | |
% 176.74/27.56 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (501), (25216) imply:
% 176.74/27.56 | | | | | | | | | | | | | | | | | | | | (25217) all_61_6 = e2
% 176.74/27.56 | | | | | | | | | | | | | | | | | | | |
% 176.74/27.56 | | | | | | | | | | | | | | | | | | | | REDUCE: (25200), (25217) imply:
% 176.74/27.56 | | | | | | | | | | | | | | | | | | | | (25218) $false
% 176.74/27.56 | | | | | | | | | | | | | | | | | | | |
% 176.74/27.56 | | | | | | | | | | | | | | | | | | | | CLOSE: (25218) is inconsistent.
% 176.74/27.56 | | | | | | | | | | | | | | | | | | | |
% 176.74/27.56 | | | | | | | | | | | | | | | | | | | Case 2:
% 176.74/27.56 | | | | | | | | | | | | | | | | | | | |
% 176.74/27.56 | | | | | | | | | | | | | | | | | | | | (25219) all_63_9 = e1 | all_63_9 = e0
% 176.74/27.56 | | | | | | | | | | | | | | | | | | | |
% 176.74/27.56 | | | | | | | | | | | | | | | | | | | | BETA: splitting (256) gives:
% 176.74/27.56 | | | | | | | | | | | | | | | | | | | |
% 176.74/27.56 | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.74/27.56 | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.56 | | | | | | | | | | | | | | | | | | | | | (25220) all_63_15 = e3
% 176.74/27.56 | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.56 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (422), (25220) imply:
% 176.74/27.56 | | | | | | | | | | | | | | | | | | | | | (25221) all_20_2 = e3
% 176.74/27.56 | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.56 | | | | | | | | | | | | | | | | | | | | | SIMP: (25221) implies:
% 176.74/27.56 | | | | | | | | | | | | | | | | | | | | | (25222) all_20_2 = e3
% 176.74/27.56 | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.56 | | | | | | | | | | | | | | | | | | | | | REDUCE: (694), (25222) imply:
% 176.74/27.56 | | | | | | | | | | | | | | | | | | | | | (25223) op(e3, e3) = all_65_73
% 176.74/27.56 | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.56 | | | | | | | | | | | | | | | | | | | | | REDUCE: (713), (25222) imply:
% 176.74/27.56 | | | | | | | | | | | | | | | | | | | | | (25224) op(e3, e3) = all_65_15
% 176.74/27.56 | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.56 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (25219) gives:
% 176.74/27.56 | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.56 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.74/27.56 | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.56 | | | | | | | | | | | | | | | | | | | | | | (25225) all_63_9 = e1
% 176.74/27.56 | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.56 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (501), (25225) imply:
% 176.74/27.56 | | | | | | | | | | | | | | | | | | | | | | (25226) all_61_6 = e1
% 176.74/27.56 | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.56 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (25207), (25226) imply:
% 176.74/27.56 | | | | | | | | | | | | | | | | | | | | | | (25227) $false
% 176.74/27.56 | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.56 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (25227) is inconsistent.
% 176.74/27.56 | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.56 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.74/27.56 | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.56 | | | | | | | | | | | | | | | | | | | | | | (25228) all_63_9 = e0
% 176.74/27.56 | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.56 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (501), (25228) imply:
% 176.74/27.56 | | | | | | | | | | | | | | | | | | | | | | (25229) all_61_6 = e0
% 176.74/27.56 | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.56 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (673), (25229) imply:
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | | (25230) op(e0, e0) = all_65_39
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (758), (25229) imply:
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | | (25231) op(e0, e0) = all_65_67
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_67, all_65_61, e0,
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | | e0, simplifying with (25189), (25231) gives:
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | | (25232) all_65_61 = all_65_67
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_61, all_65_55, e0,
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | | e0, simplifying with (25168), (25189) gives:
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | | (25233) all_65_55 = all_65_61
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_55, all_65_39, e0,
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | | e0, simplifying with (25168), (25230) gives:
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | | (25234) all_65_39 = all_65_55
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_39, all_65_27, e0,
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | | e0, simplifying with (25188), (25230) gives:
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | | (25235) all_65_27 = all_65_39
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_27, all_65_15, e0,
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | | e0, simplifying with (25166), (25188) gives:
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | | (25236) all_65_15 = all_65_27
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_61, all_65_45, e1,
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | | e1, simplifying with (25210), (25211) gives:
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | | (25237) all_65_45 = all_65_61
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e3, all_65_30, e2, e2,
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | | simplifying with (25079), (25183) gives:
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | | (25238) all_65_30 = e3
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_45, all_65_30, e2,
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | | e2, simplifying with (25183), (25203) gives:
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | | (25239) all_65_30 = all_65_45
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_73, all_65_15, e3,
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | | e3, simplifying with (25223), (25224) gives:
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | | (25240) all_65_15 = all_65_73
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_15, all_65_0, e3,
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | | e3, simplifying with (25167), (25224) gives:
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | | (25241) all_65_0 = all_65_15
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_60_0, all_65_0, e3,
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | | e3, simplifying with (25167), (25172) gives:
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | | (25242) all_65_0 = all_60_0
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (25241), (25242) imply:
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | | (25243) all_65_15 = all_60_0
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | | SIMP: (25243) implies:
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | | (25244) all_65_15 = all_60_0
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (25236), (25240) imply:
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | | (25245) all_65_27 = all_65_73
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | | SIMP: (25245) implies:
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | | (25246) all_65_27 = all_65_73
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (25240), (25244) imply:
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | | (25247) all_65_73 = all_60_0
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (25235), (25246) imply:
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | | (25248) all_65_39 = all_65_73
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | | SIMP: (25248) implies:
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | | (25249) all_65_39 = all_65_73
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (25238), (25239) imply:
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | | (25250) all_65_45 = e3
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | | SIMP: (25250) implies:
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | | (25251) all_65_45 = e3
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (25234), (25249) imply:
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | | (25252) all_65_55 = all_65_73
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | | SIMP: (25252) implies:
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | | (25253) all_65_55 = all_65_73
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (25237), (25251) imply:
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | | (25254) all_65_61 = e3
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | | SIMP: (25254) implies:
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | | (25255) all_65_61 = e3
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (25233), (25253) imply:
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | | (25256) all_65_61 = all_65_73
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | | SIMP: (25256) implies:
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | | (25257) all_65_61 = all_65_73
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (25232), (25255) imply:
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | | (25258) all_65_67 = e3
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (25232), (25257) imply:
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | | (25259) all_65_67 = all_65_73
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (25258), (25259) imply:
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | | (25260) all_65_73 = e3
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (25247), (25260) imply:
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | | (25261) all_60_0 = e3
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | | SIMP: (25261) implies:
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | | (25262) all_60_0 = e3
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (25171), (25262) imply:
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | | (25263) $false
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (25263) is inconsistent.
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | End of split
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | (25264) all_63_15 = e2 | all_63_15 = e1 | all_63_15 = e0
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (422), (25164), (25202), (25209), (25264) are
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #206.
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | End of split
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | End of split
% 176.74/27.57 | | | | | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | | | | | End of split
% 176.74/27.57 | | | | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | | | | Case 2:
% 176.74/27.57 | | | | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | | | | | (25265) all_63_13 = e0
% 176.74/27.57 | | | | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | | | | | REF_CLOSE: (508), (25155), (25265) are inconsistent by
% 176.74/27.57 | | | | | | | | | | | | | | | | | | sub-proof #523.
% 176.74/27.57 | | | | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | | | | End of split
% 176.74/27.57 | | | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | | | Case 2:
% 176.74/27.57 | | | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | | | | (25266) all_63_11 = e1 | all_63_11 = e0
% 176.74/27.57 | | | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | | | | REF_CLOSE: (505), (25162), (25165), (25266) are inconsistent
% 176.74/27.57 | | | | | | | | | | | | | | | | | by sub-proof #522.
% 176.74/27.57 | | | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | | | End of split
% 176.74/27.57 | | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | | End of split
% 176.74/27.57 | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | End of split
% 176.74/27.57 | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | End of split
% 176.74/27.57 | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | End of split
% 176.74/27.57 | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | Case 2:
% 176.74/27.57 | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | (25267) all_63_14 = e1 | all_63_14 = e0
% 176.74/27.57 | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | REF_CLOSE: (510), (25157), (25160), (25267) are inconsistent
% 176.74/27.57 | | | | | | | | | | | | by sub-proof #428.
% 176.74/27.57 | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | End of split
% 176.74/27.57 | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | End of split
% 176.74/27.57 | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | End of split
% 176.74/27.57 | | | | | | | | |
% 176.74/27.57 | | | | | | | | End of split
% 176.74/27.57 | | | | | | | |
% 176.74/27.57 | | | | | | | Case 2:
% 176.74/27.57 | | | | | | | |
% 176.74/27.57 | | | | | | | | (25268) ~ (all_60_1 = e3) & op(e2, e2) = all_60_1 &
% 176.74/27.57 | | | | | | | | $i(all_60_1)
% 176.74/27.57 | | | | | | | |
% 176.74/27.57 | | | | | | | | ALPHA: (25268) implies:
% 176.74/27.57 | | | | | | | | (25269) ~ (all_60_1 = e3)
% 176.74/27.57 | | | | | | | | (25270) op(e2, e2) = all_60_1
% 176.74/27.57 | | | | | | | |
% 176.74/27.57 | | | | | | | | BETA: splitting (265) gives:
% 176.74/27.57 | | | | | | | |
% 176.74/27.57 | | | | | | | | Case 1:
% 176.74/27.57 | | | | | | | | |
% 176.74/27.57 | | | | | | | | | (25271) all_63_6 = e3
% 176.74/27.57 | | | | | | | | |
% 176.74/27.57 | | | | | | | | | REF_CLOSE: (497), (21456), (25271) are inconsistent by
% 176.74/27.57 | | | | | | | | | sub-proof #396.
% 176.74/27.57 | | | | | | | | |
% 176.74/27.57 | | | | | | | | Case 2:
% 176.74/27.57 | | | | | | | | |
% 176.74/27.57 | | | | | | | | | (25272) all_63_6 = e2 | all_63_6 = e1 | all_63_6 = e0
% 176.74/27.57 | | | | | | | | |
% 176.74/27.57 | | | | | | | | | BETA: splitting (25272) gives:
% 176.74/27.57 | | | | | | | | |
% 176.74/27.57 | | | | | | | | | Case 1:
% 176.74/27.57 | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | (25273) all_63_6 = e2
% 176.74/27.57 | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | REF_CLOSE: (497), (25158), (25273) are inconsistent by
% 176.74/27.57 | | | | | | | | | | sub-proof #413.
% 176.74/27.57 | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | Case 2:
% 176.74/27.57 | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | (25274) all_63_6 = e1 | all_63_6 = e0
% 176.74/27.57 | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | BETA: splitting (257) gives:
% 176.74/27.57 | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | Case 1:
% 176.74/27.57 | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | (25275) all_63_14 = e3
% 176.74/27.57 | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | REF_CLOSE: (510), (21457), (25275) are inconsistent by
% 176.74/27.57 | | | | | | | | | | | sub-proof #55.
% 176.74/27.57 | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | Case 2:
% 176.74/27.57 | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | (25276) all_63_14 = e2 | all_63_14 = e1 | all_63_14 = e0
% 176.74/27.57 | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | BETA: splitting (25276) gives:
% 176.74/27.57 | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | Case 1:
% 176.74/27.57 | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | (25277) all_63_14 = e2
% 176.74/27.57 | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | COMBINE_EQS: (510), (25277) imply:
% 176.74/27.57 | | | | | | | | | | | | (25278) all_61_11 = e2
% 176.74/27.57 | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | SIMP: (25278) implies:
% 176.74/27.57 | | | | | | | | | | | | (25279) all_61_11 = e2
% 176.74/27.57 | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | REDUCE: (192), (25279) imply:
% 176.74/27.57 | | | | | | | | | | | | (25280) ~ (all_61_7 = e2)
% 176.74/27.57 | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | REDUCE: (691), (25279) imply:
% 176.74/27.57 | | | | | | | | | | | | (25281) op(e2, e2) = all_65_67
% 176.74/27.57 | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | REDUCE: (729), (25279) imply:
% 176.74/27.57 | | | | | | | | | | | | (25282) op(e2, e2) = all_65_30
% 176.74/27.57 | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | BETA: splitting (25274) gives:
% 176.74/27.57 | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | Case 1:
% 176.74/27.57 | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | (25283) all_63_6 = e1
% 176.74/27.57 | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | REF_CLOSE: (497), (25159), (25283) are inconsistent by
% 176.74/27.57 | | | | | | | | | | | | | sub-proof #412.
% 176.74/27.57 | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | Case 2:
% 176.74/27.57 | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | (25284) all_63_6 = e0
% 176.74/27.57 | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | COMBINE_EQS: (497), (25284) imply:
% 176.74/27.57 | | | | | | | | | | | | | (25285) all_61_9 = e0
% 176.74/27.57 | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | SIMP: (25285) implies:
% 176.74/27.57 | | | | | | | | | | | | | (25286) all_61_9 = e0
% 176.74/27.57 | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | REDUCE: (184), (25286) imply:
% 176.74/27.57 | | | | | | | | | | | | | (25287) ~ (all_61_13 = e0)
% 176.74/27.57 | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | SIMP: (25287) implies:
% 176.74/27.57 | | | | | | | | | | | | | (25288) ~ (all_61_13 = e0)
% 176.74/27.57 | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | REDUCE: (755), (25286) imply:
% 176.74/27.57 | | | | | | | | | | | | | (25289) op(e0, e0) = all_65_61
% 176.74/27.57 | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | BETA: splitting (258) gives:
% 176.74/27.57 | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | Case 1:
% 176.74/27.57 | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | (25290) all_63_13 = e3
% 176.74/27.57 | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | REF_CLOSE: (508), (25071), (25290) are inconsistent by
% 176.74/27.57 | | | | | | | | | | | | | | sub-proof #526.
% 176.74/27.57 | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | Case 2:
% 176.74/27.57 | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | (25291) all_63_13 = e2 | all_63_13 = e1 | all_63_13 = e0
% 176.74/27.57 | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | BETA: splitting (25291) gives:
% 176.74/27.57 | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | Case 1:
% 176.74/27.57 | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | | (25292) all_63_13 = e2
% 176.74/27.57 | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | | REF_CLOSE: (508), (25280), (25292) are inconsistent by
% 176.74/27.57 | | | | | | | | | | | | | | | sub-proof #525.
% 176.74/27.57 | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | Case 2:
% 176.74/27.57 | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | | (25293) all_63_13 = e1 | all_63_13 = e0
% 176.74/27.57 | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | | BETA: splitting (260) gives:
% 176.74/27.57 | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | | Case 1:
% 176.74/27.57 | | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | | | (25294) all_63_11 = e3
% 176.74/27.57 | | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | | | COMBINE_EQS: (505), (25294) imply:
% 176.74/27.57 | | | | | | | | | | | | | | | | (25295) all_61_14 = e3
% 176.74/27.57 | | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | | | REDUCE: (21458), (25295) imply:
% 176.74/27.57 | | | | | | | | | | | | | | | | (25296) $false
% 176.74/27.57 | | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | | | CLOSE: (25296) is inconsistent.
% 176.74/27.57 | | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | | Case 2:
% 176.74/27.57 | | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | | | (25297) all_63_11 = e2 | all_63_11 = e1 | all_63_11 = e0
% 176.74/27.57 | | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | | | BETA: splitting (25297) gives:
% 176.74/27.57 | | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | | | Case 1:
% 176.74/27.57 | | | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | | | | (25298) all_63_11 = e2
% 176.74/27.57 | | | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | | | | COMBINE_EQS: (505), (25298) imply:
% 176.74/27.57 | | | | | | | | | | | | | | | | | (25299) all_61_14 = e2
% 176.74/27.57 | | | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | | | | REDUCE: (193), (25299) imply:
% 176.74/27.57 | | | | | | | | | | | | | | | | | (25300) ~ (all_61_6 = e2)
% 176.74/27.57 | | | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | | | | REDUCE: (177), (25299) imply:
% 176.74/27.57 | | | | | | | | | | | | | | | | | (25301) ~ (all_61_13 = e2)
% 176.74/27.57 | | | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | | | | REDUCE: (726), (25299) imply:
% 176.74/27.57 | | | | | | | | | | | | | | | | | (25302) op(e2, e2) = all_65_27
% 176.74/27.57 | | | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | | | | BETA: splitting (25293) gives:
% 176.74/27.57 | | | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | | | | Case 1:
% 176.74/27.57 | | | | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | | | | | (25303) all_63_13 = e1
% 176.74/27.57 | | | | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (508), (25303) imply:
% 176.74/27.57 | | | | | | | | | | | | | | | | | | (25304) all_61_7 = e1
% 176.74/27.57 | | | | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | | | | | SIMP: (25304) implies:
% 176.74/27.57 | | | | | | | | | | | | | | | | | | (25305) all_61_7 = e1
% 176.74/27.57 | | | | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | | | | | REDUCE: (195), (25305) imply:
% 176.74/27.57 | | | | | | | | | | | | | | | | | | (25306) ~ (all_61_6 = e1)
% 176.74/27.57 | | | | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | | | | | REDUCE: (745), (25305) imply:
% 176.74/27.57 | | | | | | | | | | | | | | | | | | (25307) op(e1, e1) = all_65_45
% 176.74/27.57 | | | | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | | | | | BETA: splitting (262) gives:
% 176.74/27.57 | | | | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | | | | | Case 1:
% 176.74/27.57 | | | | | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | (25308) all_63_9 = e3
% 176.74/27.57 | | | | | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (501), (25308) imply:
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | (25309) all_61_6 = e3
% 176.74/27.57 | | | | | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | REDUCE: (21454), (25309) imply:
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | (25310) $false
% 176.74/27.57 | | | | | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | CLOSE: (25310) is inconsistent.
% 176.74/27.57 | | | | | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | | | | | Case 2:
% 176.74/27.57 | | | | | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | (25311) all_63_9 = e2 | all_63_9 = e1 | all_63_9 = e0
% 176.74/27.57 | | | | | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | BETA: splitting (25311) gives:
% 176.74/27.57 | | | | | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | Case 1:
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | (25312) all_63_9 = e2
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (501), (25312) imply:
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | (25313) all_61_6 = e2
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | REDUCE: (25300), (25313) imply:
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | (25314) $false
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | CLOSE: (25314) is inconsistent.
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | Case 2:
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | (25315) all_63_9 = e1 | all_63_9 = e0
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | BETA: splitting (264) gives:
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | (25316) all_63_7 = e3
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (498), (25072), (25316) are inconsistent by
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | sub-proof #280.
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | (25317) all_63_7 = e2 | all_63_7 = e1 | all_63_7 = e0
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (25317) gives:
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | | (25318) all_63_7 = e2
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (498), (25301), (25318) are inconsistent by
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | | sub-proof #278.
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | | (25319) all_63_7 = e1 | all_63_7 = e0
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (25319) gives:
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | | | (25320) all_63_7 = e1
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (498), (25320) imply:
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | | | (25321) all_61_13 = e1
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (25321) implies:
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | | | (25322) all_61_13 = e1
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (664), (25322) imply:
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | | | (25323) op(e1, e1) = all_65_30
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (739), (25322) imply:
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | | | (25324) op(e1, e1) = all_65_39
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (25315) gives:
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | | | | (25325) all_63_9 = e1
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (501), (25325) imply:
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | | | | (25326) all_61_6 = e1
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (25306), (25326) imply:
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | | | | (25327) $false
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (25327) is inconsistent.
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | | | | (25328) all_63_9 = e0
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (501), (25328) imply:
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | | | | (25329) all_61_6 = e0
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (673), (25329) imply:
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | | | | (25330) op(e0, e0) = all_65_39
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (758), (25329) imply:
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | | | | (25331) op(e0, e0) = all_65_67
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_61, all_65_55, e0,
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | | | | e0, simplifying with (25168), (25289) gives:
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | | | | (25332) all_65_55 = all_65_61
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_67, all_65_55, e0,
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | | | | e0, simplifying with (25168), (25331) gives:
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | | | | (25333) all_65_55 = all_65_67
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_55, all_65_39, e0,
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | | | | e0, simplifying with (25168), (25330) gives:
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | | | | (25334) all_65_39 = all_65_55
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_45, all_65_39, e1,
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | | | | e1, simplifying with (25307), (25324) gives:
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | | | | (25335) all_65_39 = all_65_45
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_39, all_65_30, e1,
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | | | | e1, simplifying with (25323), (25324) gives:
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | | | | (25336) all_65_30 = all_65_39
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_60_1, all_65_67, e2,
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | | | | e2, simplifying with (25270), (25281) gives:
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | | | | (25337) all_65_67 = all_60_1
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e3, all_65_27, e2, e2,
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (25079), (25302) gives:
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | | | | (25338) all_65_27 = e3
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_30, all_65_27, e2,
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | | | | e2, simplifying with (25282), (25302) gives:
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | | | | (25339) all_65_27 = all_65_30
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (25338), (25339) imply:
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | | | | (25340) all_65_30 = e3
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (25340) implies:
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | | | | (25341) all_65_30 = e3
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (25336), (25341) imply:
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | | | | (25342) all_65_39 = e3
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (25342) implies:
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | | | | (25343) all_65_39 = e3
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (25334), (25335) imply:
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | | | | (25344) all_65_45 = all_65_55
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (25335), (25343) imply:
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | | | | (25345) all_65_45 = e3
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (25344), (25345) imply:
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | | | | (25346) all_65_55 = e3
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (25346) implies:
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | | | | (25347) all_65_55 = e3
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (25332), (25333) imply:
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | | | | (25348) all_65_61 = all_65_67
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (25332), (25347) imply:
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | | | | (25349) all_65_61 = e3
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (25348), (25349) imply:
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | | | | (25350) all_65_67 = e3
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (25337), (25350) imply:
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | | | | (25351) all_60_1 = e3
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (25351) implies:
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | | | | (25352) all_60_1 = e3
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (25269), (25352) imply:
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | | | | (25353) $false
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (25353) is inconsistent.
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | | | (25354) all_63_7 = e0
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (498), (25288), (25354) are inconsistent by
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #276.
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | End of split
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | End of split
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | End of split
% 176.74/27.57 | | | | | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | | | | | End of split
% 176.74/27.57 | | | | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | | | | Case 2:
% 176.74/27.57 | | | | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | | | | | (25355) all_63_13 = e0
% 176.74/27.57 | | | | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | | | | | REF_CLOSE: (508), (25155), (25355) are inconsistent by
% 176.74/27.57 | | | | | | | | | | | | | | | | | | sub-proof #523.
% 176.74/27.57 | | | | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | | | | End of split
% 176.74/27.57 | | | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | | | Case 2:
% 176.74/27.57 | | | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | | | | (25356) all_63_11 = e1 | all_63_11 = e0
% 176.74/27.57 | | | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | | | | REF_CLOSE: (505), (25162), (25165), (25356) are inconsistent
% 176.74/27.57 | | | | | | | | | | | | | | | | | by sub-proof #522.
% 176.74/27.57 | | | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | | | End of split
% 176.74/27.57 | | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | | End of split
% 176.74/27.57 | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | End of split
% 176.74/27.57 | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | End of split
% 176.74/27.57 | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | End of split
% 176.74/27.57 | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | Case 2:
% 176.74/27.57 | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | (25357) all_63_14 = e1 | all_63_14 = e0
% 176.74/27.57 | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | REF_CLOSE: (510), (25157), (25160), (25357) are inconsistent
% 176.74/27.57 | | | | | | | | | | | | by sub-proof #428.
% 176.74/27.57 | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | End of split
% 176.74/27.57 | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | End of split
% 176.74/27.57 | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | End of split
% 176.74/27.57 | | | | | | | | |
% 176.74/27.57 | | | | | | | | End of split
% 176.74/27.57 | | | | | | | |
% 176.74/27.57 | | | | | | | End of split
% 176.74/27.57 | | | | | | |
% 176.74/27.57 | | | | | | Case 2:
% 176.74/27.57 | | | | | | |
% 176.74/27.57 | | | | | | | (25358) ( ~ (all_60_2 = e3) & op(e1, e1) = all_60_2 &
% 176.74/27.57 | | | | | | | $i(all_60_2)) | ( ~ (all_60_3 = e3) & op(e0, e0) =
% 176.74/27.57 | | | | | | | all_60_3 & $i(all_60_3))
% 176.74/27.57 | | | | | | |
% 176.74/27.57 | | | | | | | BETA: splitting (25358) gives:
% 176.74/27.57 | | | | | | |
% 176.74/27.57 | | | | | | | Case 1:
% 176.74/27.57 | | | | | | | |
% 176.74/27.57 | | | | | | | | (25359) ~ (all_60_2 = e3) & op(e1, e1) = all_60_2 &
% 176.74/27.57 | | | | | | | | $i(all_60_2)
% 176.74/27.57 | | | | | | | |
% 176.74/27.57 | | | | | | | | ALPHA: (25359) implies:
% 176.74/27.57 | | | | | | | | (25360) ~ (all_60_2 = e3)
% 176.74/27.57 | | | | | | | | (25361) op(e1, e1) = all_60_2
% 176.74/27.57 | | | | | | | |
% 176.74/27.57 | | | | | | | | BETA: splitting (265) gives:
% 176.74/27.57 | | | | | | | |
% 176.74/27.57 | | | | | | | | Case 1:
% 176.74/27.57 | | | | | | | | |
% 176.74/27.57 | | | | | | | | | (25362) all_63_6 = e3
% 176.74/27.57 | | | | | | | | |
% 176.74/27.57 | | | | | | | | | REF_CLOSE: (497), (21456), (25362) are inconsistent by
% 176.74/27.57 | | | | | | | | | sub-proof #396.
% 176.74/27.57 | | | | | | | | |
% 176.74/27.57 | | | | | | | | Case 2:
% 176.74/27.57 | | | | | | | | |
% 176.74/27.57 | | | | | | | | | (25363) all_63_6 = e2 | all_63_6 = e1 | all_63_6 = e0
% 176.74/27.57 | | | | | | | | |
% 176.74/27.57 | | | | | | | | | BETA: splitting (25363) gives:
% 176.74/27.57 | | | | | | | | |
% 176.74/27.57 | | | | | | | | | Case 1:
% 176.74/27.57 | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | (25364) all_63_6 = e2
% 176.74/27.57 | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | REF_CLOSE: (497), (25158), (25364) are inconsistent by
% 176.74/27.57 | | | | | | | | | | sub-proof #413.
% 176.74/27.57 | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | Case 2:
% 176.74/27.57 | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | (25365) all_63_6 = e1 | all_63_6 = e0
% 176.74/27.57 | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | BETA: splitting (257) gives:
% 176.74/27.57 | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | Case 1:
% 176.74/27.57 | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | (25366) all_63_14 = e3
% 176.74/27.57 | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | REF_CLOSE: (510), (21457), (25366) are inconsistent by
% 176.74/27.57 | | | | | | | | | | | sub-proof #55.
% 176.74/27.57 | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | Case 2:
% 176.74/27.57 | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | (25367) all_63_14 = e2 | all_63_14 = e1 | all_63_14 = e0
% 176.74/27.57 | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | BETA: splitting (25367) gives:
% 176.74/27.57 | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | Case 1:
% 176.74/27.57 | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | (25368) all_63_14 = e2
% 176.74/27.57 | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | COMBINE_EQS: (510), (25368) imply:
% 176.74/27.57 | | | | | | | | | | | | (25369) all_61_11 = e2
% 176.74/27.57 | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | SIMP: (25369) implies:
% 176.74/27.57 | | | | | | | | | | | | (25370) all_61_11 = e2
% 176.74/27.57 | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | REDUCE: (192), (25370) imply:
% 176.74/27.57 | | | | | | | | | | | | (25371) ~ (all_61_7 = e2)
% 176.74/27.57 | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | REDUCE: (691), (25370) imply:
% 176.74/27.57 | | | | | | | | | | | | (25372) op(e2, e2) = all_65_67
% 176.74/27.57 | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | REDUCE: (729), (25370) imply:
% 176.74/27.57 | | | | | | | | | | | | (25373) op(e2, e2) = all_65_30
% 176.74/27.57 | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | BETA: splitting (25365) gives:
% 176.74/27.57 | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | Case 1:
% 176.74/27.57 | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | (25374) all_63_6 = e1
% 176.74/27.57 | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | REF_CLOSE: (497), (25159), (25374) are inconsistent by
% 176.74/27.57 | | | | | | | | | | | | | sub-proof #412.
% 176.74/27.57 | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | Case 2:
% 176.74/27.57 | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | (25375) all_63_6 = e0
% 176.74/27.57 | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | COMBINE_EQS: (497), (25375) imply:
% 176.74/27.57 | | | | | | | | | | | | | (25376) all_61_9 = e0
% 176.74/27.57 | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | SIMP: (25376) implies:
% 176.74/27.57 | | | | | | | | | | | | | (25377) all_61_9 = e0
% 176.74/27.57 | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | REDUCE: (661), (25377) imply:
% 176.74/27.57 | | | | | | | | | | | | | (25378) op(e0, e0) = all_65_27
% 176.74/27.57 | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | REDUCE: (755), (25377) imply:
% 176.74/27.57 | | | | | | | | | | | | | (25379) op(e0, e0) = all_65_61
% 176.74/27.57 | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | BETA: splitting (258) gives:
% 176.74/27.57 | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | Case 1:
% 176.74/27.57 | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | (25380) all_63_13 = e3
% 176.74/27.57 | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | REF_CLOSE: (508), (25071), (25380) are inconsistent by
% 176.74/27.57 | | | | | | | | | | | | | | sub-proof #526.
% 176.74/27.57 | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | Case 2:
% 176.74/27.57 | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | (25381) all_63_13 = e2 | all_63_13 = e1 | all_63_13 = e0
% 176.74/27.57 | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | BETA: splitting (25381) gives:
% 176.74/27.57 | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | Case 1:
% 176.74/27.57 | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | | (25382) all_63_13 = e2
% 176.74/27.57 | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | | REF_CLOSE: (508), (25371), (25382) are inconsistent by
% 176.74/27.57 | | | | | | | | | | | | | | | sub-proof #525.
% 176.74/27.57 | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | Case 2:
% 176.74/27.57 | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | | (25383) all_63_13 = e1 | all_63_13 = e0
% 176.74/27.57 | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | | BETA: splitting (260) gives:
% 176.74/27.57 | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | | Case 1:
% 176.74/27.57 | | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | | | (25384) all_63_11 = e3
% 176.74/27.57 | | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | | | COMBINE_EQS: (505), (25384) imply:
% 176.74/27.57 | | | | | | | | | | | | | | | | (25385) all_61_14 = e3
% 176.74/27.57 | | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | | | REDUCE: (21458), (25385) imply:
% 176.74/27.57 | | | | | | | | | | | | | | | | (25386) $false
% 176.74/27.57 | | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | | | CLOSE: (25386) is inconsistent.
% 176.74/27.57 | | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | | Case 2:
% 176.74/27.57 | | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | | | (25387) all_63_11 = e2 | all_63_11 = e1 | all_63_11 = e0
% 176.74/27.57 | | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | | | BETA: splitting (25387) gives:
% 176.74/27.57 | | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | | | Case 1:
% 176.74/27.57 | | | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | | | | (25388) all_63_11 = e2
% 176.74/27.57 | | | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | | | | COMBINE_EQS: (505), (25388) imply:
% 176.74/27.57 | | | | | | | | | | | | | | | | | (25389) all_61_14 = e2
% 176.74/27.57 | | | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | | | | REDUCE: (193), (25389) imply:
% 176.74/27.57 | | | | | | | | | | | | | | | | | (25390) ~ (all_61_6 = e2)
% 176.74/27.57 | | | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | | | | REDUCE: (627), (25389) imply:
% 176.74/27.57 | | | | | | | | | | | | | | | | | (25391) ~ (all_20_2 = e2)
% 176.74/27.57 | | | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | | | | SIMP: (25391) implies:
% 176.74/27.57 | | | | | | | | | | | | | | | | | (25392) ~ (all_20_2 = e2)
% 176.74/27.57 | | | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | | | | REDUCE: (679), (25389) imply:
% 176.74/27.57 | | | | | | | | | | | | | | | | | (25393) op(e2, e2) = all_65_45
% 176.74/27.57 | | | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | | | | REDUCE: (726), (25389) imply:
% 176.74/27.57 | | | | | | | | | | | | | | | | | (25394) op(e2, e2) = all_65_27
% 176.74/27.57 | | | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | | | | BETA: splitting (25383) gives:
% 176.74/27.57 | | | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | | | | Case 1:
% 176.74/27.57 | | | | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | | | | | (25395) all_63_13 = e1
% 176.74/27.57 | | | | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (508), (25395) imply:
% 176.74/27.57 | | | | | | | | | | | | | | | | | | (25396) all_61_7 = e1
% 176.74/27.57 | | | | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | | | | | SIMP: (25396) implies:
% 176.74/27.57 | | | | | | | | | | | | | | | | | | (25397) all_61_7 = e1
% 176.74/27.57 | | | | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | | | | | REDUCE: (195), (25397) imply:
% 176.74/27.57 | | | | | | | | | | | | | | | | | | (25398) ~ (all_61_6 = e1)
% 176.74/27.57 | | | | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | | | | | REDUCE: (617), (25397) imply:
% 176.74/27.57 | | | | | | | | | | | | | | | | | | (25399) ~ (all_20_2 = e1)
% 176.74/27.57 | | | | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | | | | | SIMP: (25399) implies:
% 176.74/27.57 | | | | | | | | | | | | | | | | | | (25400) ~ (all_20_2 = e1)
% 176.74/27.57 | | | | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | | | | | REDUCE: (745), (25397) imply:
% 176.74/27.57 | | | | | | | | | | | | | | | | | | (25401) op(e1, e1) = all_65_45
% 176.74/27.57 | | | | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | | | | | BETA: splitting (262) gives:
% 176.74/27.57 | | | | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | | | | | Case 1:
% 176.74/27.57 | | | | | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | (25402) all_63_9 = e3
% 176.74/27.57 | | | | | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (501), (25402) imply:
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | (25403) all_61_6 = e3
% 176.74/27.57 | | | | | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | REDUCE: (21454), (25403) imply:
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | (25404) $false
% 176.74/27.57 | | | | | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | CLOSE: (25404) is inconsistent.
% 176.74/27.57 | | | | | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | | | | | Case 2:
% 176.74/27.57 | | | | | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | (25405) all_63_9 = e2 | all_63_9 = e1 | all_63_9 = e0
% 176.74/27.57 | | | | | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | BETA: splitting (25405) gives:
% 176.74/27.57 | | | | | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | Case 1:
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | (25406) all_63_9 = e2
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (501), (25406) imply:
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | (25407) all_61_6 = e2
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | REDUCE: (25390), (25407) imply:
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | (25408) $false
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | CLOSE: (25408) is inconsistent.
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | Case 2:
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | (25409) all_63_9 = e1 | all_63_9 = e0
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | BETA: splitting (256) gives:
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | (25410) all_63_15 = e3
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (422), (25410) imply:
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | (25411) all_20_2 = e3
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | SIMP: (25411) implies:
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | (25412) all_20_2 = e3
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | REDUCE: (694), (25412) imply:
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | (25413) op(e3, e3) = all_65_73
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | REDUCE: (713), (25412) imply:
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | (25414) op(e3, e3) = all_65_15
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (25409) gives:
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | | (25415) all_63_9 = e1
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (501), (25415) imply:
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | | (25416) all_61_6 = e1
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (25398), (25416) imply:
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | | (25417) $false
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (25417) is inconsistent.
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.57 | | | | | | | | | | | | | | | | | | | | | | (25418) all_63_9 = e0
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (501), (25418) imply:
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | (25419) all_61_6 = e0
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (673), (25419) imply:
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | (25420) op(e0, e0) = all_65_39
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (758), (25419) imply:
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | (25421) op(e0, e0) = all_65_67
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_67, all_65_55, e0,
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | e0, simplifying with (25168), (25421) gives:
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | (25422) all_65_55 = all_65_67
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_55, all_65_39, e0,
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | e0, simplifying with (25168), (25420) gives:
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | (25423) all_65_39 = all_65_55
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_55, all_65_27, e0,
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | e0, simplifying with (25168), (25378) gives:
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | (25424) all_65_27 = all_65_55
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_61, all_65_27, e0,
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | e0, simplifying with (25378), (25379) gives:
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | (25425) all_65_27 = all_65_61
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_39, all_65_15, e0,
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | e0, simplifying with (25166), (25420) gives:
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | (25426) all_65_15 = all_65_39
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_60_2, all_65_45, e1,
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | e1, simplifying with (25361), (25401) gives:
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | (25427) all_65_45 = all_60_2
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e3, all_65_30, e2, e2,
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | simplifying with (25079), (25373) gives:
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | (25428) all_65_30 = e3
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_67, all_65_30, e2,
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | e2, simplifying with (25372), (25373) gives:
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | (25429) all_65_30 = all_65_67
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_45, all_65_27, e2,
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | e2, simplifying with (25393), (25394) gives:
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | (25430) all_65_27 = all_65_45
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_15, all_65_0, e3,
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | e3, simplifying with (25167), (25414) gives:
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | (25431) all_65_0 = all_65_15
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_73, all_65_0, e3,
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | e3, simplifying with (25167), (25413) gives:
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | (25432) all_65_0 = all_65_73
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (25431), (25432) imply:
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | (25433) all_65_15 = all_65_73
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | SIMP: (25433) implies:
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | (25434) all_65_15 = all_65_73
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (25426), (25434) imply:
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | (25435) all_65_39 = all_65_73
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | SIMP: (25435) implies:
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | (25436) all_65_39 = all_65_73
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (25425), (25430) imply:
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | (25437) all_65_45 = all_65_61
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (25424), (25430) imply:
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | (25438) all_65_45 = all_65_55
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (25428), (25429) imply:
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | (25439) all_65_67 = e3
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | SIMP: (25439) implies:
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | (25440) all_65_67 = e3
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (25423), (25436) imply:
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | (25441) all_65_55 = all_65_73
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | SIMP: (25441) implies:
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | (25442) all_65_55 = all_65_73
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (25437), (25438) imply:
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | (25443) all_65_55 = all_65_61
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | SIMP: (25443) implies:
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | (25444) all_65_55 = all_65_61
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (25427), (25437) imply:
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | (25445) all_65_61 = all_60_2
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (25422), (25444) imply:
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | (25446) all_65_61 = all_65_67
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (25442), (25444) imply:
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | (25447) all_65_61 = all_65_73
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (25446), (25447) imply:
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | (25448) all_65_67 = all_65_73
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | SIMP: (25448) implies:
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | (25449) all_65_67 = all_65_73
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (25445), (25447) imply:
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | (25450) all_65_73 = all_60_2
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (25440), (25449) imply:
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | (25451) all_65_73 = e3
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | SIMP: (25451) implies:
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | (25452) all_65_73 = e3
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (25450), (25452) imply:
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | (25453) all_60_2 = e3
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | SIMP: (25453) implies:
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | (25454) all_60_2 = e3
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (25360), (25454) imply:
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | (25455) $false
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (25455) is inconsistent.
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | End of split
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | (25456) all_63_15 = e2 | all_63_15 = e1 | all_63_15 = e0
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (422), (25164), (25392), (25400), (25456) are
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #206.
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | End of split
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | End of split
% 176.74/27.58 | | | | | | | | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | | | | | | | End of split
% 176.74/27.58 | | | | | | | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | | | | | | Case 2:
% 176.74/27.58 | | | | | | | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | | | | | | | (25457) all_63_13 = e0
% 176.74/27.58 | | | | | | | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | | | | | | | REF_CLOSE: (508), (25155), (25457) are inconsistent by
% 176.74/27.58 | | | | | | | | | | | | | | | | | | sub-proof #523.
% 176.74/27.58 | | | | | | | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | | | | | | End of split
% 176.74/27.58 | | | | | | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | | | | | Case 2:
% 176.74/27.58 | | | | | | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | | | | | | (25458) all_63_11 = e1 | all_63_11 = e0
% 176.74/27.58 | | | | | | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | | | | | | REF_CLOSE: (505), (25162), (25165), (25458) are inconsistent
% 176.74/27.58 | | | | | | | | | | | | | | | | | by sub-proof #522.
% 176.74/27.58 | | | | | | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | | | | | End of split
% 176.74/27.58 | | | | | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | | | | End of split
% 176.74/27.58 | | | | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | | | End of split
% 176.74/27.58 | | | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | | End of split
% 176.74/27.58 | | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | End of split
% 176.74/27.58 | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | Case 2:
% 176.74/27.58 | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | (25459) all_63_14 = e1 | all_63_14 = e0
% 176.74/27.58 | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | REF_CLOSE: (510), (25157), (25160), (25459) are inconsistent
% 176.74/27.58 | | | | | | | | | | | | by sub-proof #428.
% 176.74/27.58 | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | End of split
% 176.74/27.58 | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | End of split
% 176.74/27.58 | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | End of split
% 176.74/27.58 | | | | | | | | |
% 176.74/27.58 | | | | | | | | End of split
% 176.74/27.58 | | | | | | | |
% 176.74/27.58 | | | | | | | Case 2:
% 176.74/27.58 | | | | | | | |
% 176.74/27.58 | | | | | | | | (25460) ~ (all_60_3 = e3) & op(e0, e0) = all_60_3 &
% 176.74/27.58 | | | | | | | | $i(all_60_3)
% 176.74/27.58 | | | | | | | |
% 176.74/27.58 | | | | | | | | ALPHA: (25460) implies:
% 176.74/27.58 | | | | | | | | (25461) ~ (all_60_3 = e3)
% 176.74/27.58 | | | | | | | | (25462) op(e0, e0) = all_60_3
% 176.74/27.58 | | | | | | | |
% 176.74/27.58 | | | | | | | | BETA: splitting (265) gives:
% 176.74/27.58 | | | | | | | |
% 176.74/27.58 | | | | | | | | Case 1:
% 176.74/27.58 | | | | | | | | |
% 176.74/27.58 | | | | | | | | | (25463) all_63_6 = e3
% 176.74/27.58 | | | | | | | | |
% 176.74/27.58 | | | | | | | | | REF_CLOSE: (497), (21456), (25463) are inconsistent by
% 176.74/27.58 | | | | | | | | | sub-proof #396.
% 176.74/27.58 | | | | | | | | |
% 176.74/27.58 | | | | | | | | Case 2:
% 176.74/27.58 | | | | | | | | |
% 176.74/27.58 | | | | | | | | | (25464) all_63_6 = e2 | all_63_6 = e1 | all_63_6 = e0
% 176.74/27.58 | | | | | | | | |
% 176.74/27.58 | | | | | | | | | BETA: splitting (25464) gives:
% 176.74/27.58 | | | | | | | | |
% 176.74/27.58 | | | | | | | | | Case 1:
% 176.74/27.58 | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | (25465) all_63_6 = e2
% 176.74/27.58 | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | REF_CLOSE: (497), (25158), (25465) are inconsistent by
% 176.74/27.58 | | | | | | | | | | sub-proof #413.
% 176.74/27.58 | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | Case 2:
% 176.74/27.58 | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | (25466) all_63_6 = e1 | all_63_6 = e0
% 176.74/27.58 | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | BETA: splitting (257) gives:
% 176.74/27.58 | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | Case 1:
% 176.74/27.58 | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | (25467) all_63_14 = e3
% 176.74/27.58 | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | REF_CLOSE: (510), (21457), (25467) are inconsistent by
% 176.74/27.58 | | | | | | | | | | | sub-proof #55.
% 176.74/27.58 | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | Case 2:
% 176.74/27.58 | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | (25468) all_63_14 = e2 | all_63_14 = e1 | all_63_14 = e0
% 176.74/27.58 | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | BETA: splitting (25468) gives:
% 176.74/27.58 | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | Case 1:
% 176.74/27.58 | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | (25469) all_63_14 = e2
% 176.74/27.58 | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | COMBINE_EQS: (510), (25469) imply:
% 176.74/27.58 | | | | | | | | | | | | (25470) all_61_11 = e2
% 176.74/27.58 | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | SIMP: (25470) implies:
% 176.74/27.58 | | | | | | | | | | | | (25471) all_61_11 = e2
% 176.74/27.58 | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | REDUCE: (192), (25471) imply:
% 176.74/27.58 | | | | | | | | | | | | (25472) ~ (all_61_7 = e2)
% 176.74/27.58 | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | REDUCE: (729), (25471) imply:
% 176.74/27.58 | | | | | | | | | | | | (25473) op(e2, e2) = all_65_30
% 176.74/27.58 | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | BETA: splitting (25466) gives:
% 176.74/27.58 | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | Case 1:
% 176.74/27.58 | | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | | (25474) all_63_6 = e1
% 176.74/27.58 | | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | | REF_CLOSE: (497), (25159), (25474) are inconsistent by
% 176.74/27.58 | | | | | | | | | | | | | sub-proof #412.
% 176.74/27.58 | | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | Case 2:
% 176.74/27.58 | | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | | (25475) all_63_6 = e0
% 176.74/27.58 | | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | | COMBINE_EQS: (497), (25475) imply:
% 176.74/27.58 | | | | | | | | | | | | | (25476) all_61_9 = e0
% 176.74/27.58 | | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | | SIMP: (25476) implies:
% 176.74/27.58 | | | | | | | | | | | | | (25477) all_61_9 = e0
% 176.74/27.58 | | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | | REDUCE: (184), (25477) imply:
% 176.74/27.58 | | | | | | | | | | | | | (25478) ~ (all_61_13 = e0)
% 176.74/27.58 | | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | | SIMP: (25478) implies:
% 176.74/27.58 | | | | | | | | | | | | | (25479) ~ (all_61_13 = e0)
% 176.74/27.58 | | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | | REDUCE: (755), (25477) imply:
% 176.74/27.58 | | | | | | | | | | | | | (25480) op(e0, e0) = all_65_61
% 176.74/27.58 | | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | | BETA: splitting (258) gives:
% 176.74/27.58 | | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | | Case 1:
% 176.74/27.58 | | | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | | | (25481) all_63_13 = e3
% 176.74/27.58 | | | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | | | REF_CLOSE: (508), (25071), (25481) are inconsistent by
% 176.74/27.58 | | | | | | | | | | | | | | sub-proof #526.
% 176.74/27.58 | | | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | | Case 2:
% 176.74/27.58 | | | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | | | (25482) all_63_13 = e2 | all_63_13 = e1 | all_63_13 = e0
% 176.74/27.58 | | | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | | | BETA: splitting (25482) gives:
% 176.74/27.58 | | | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | | | Case 1:
% 176.74/27.58 | | | | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | | | | (25483) all_63_13 = e2
% 176.74/27.58 | | | | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | | | | REF_CLOSE: (508), (25472), (25483) are inconsistent by
% 176.74/27.58 | | | | | | | | | | | | | | | sub-proof #525.
% 176.74/27.58 | | | | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | | | Case 2:
% 176.74/27.58 | | | | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | | | | (25484) all_63_13 = e1 | all_63_13 = e0
% 176.74/27.58 | | | | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | | | | BETA: splitting (260) gives:
% 176.74/27.58 | | | | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | | | | Case 1:
% 176.74/27.58 | | | | | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | | | | | (25485) all_63_11 = e3
% 176.74/27.58 | | | | | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | | | | | COMBINE_EQS: (505), (25485) imply:
% 176.74/27.58 | | | | | | | | | | | | | | | | (25486) all_61_14 = e3
% 176.74/27.58 | | | | | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | | | | | REDUCE: (21458), (25486) imply:
% 176.74/27.58 | | | | | | | | | | | | | | | | (25487) $false
% 176.74/27.58 | | | | | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | | | | | CLOSE: (25487) is inconsistent.
% 176.74/27.58 | | | | | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | | | | Case 2:
% 176.74/27.58 | | | | | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | | | | | (25488) all_63_11 = e2 | all_63_11 = e1 | all_63_11 = e0
% 176.74/27.58 | | | | | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | | | | | BETA: splitting (25488) gives:
% 176.74/27.58 | | | | | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | | | | | Case 1:
% 176.74/27.58 | | | | | | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | | | | | | (25489) all_63_11 = e2
% 176.74/27.58 | | | | | | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | | | | | | COMBINE_EQS: (505), (25489) imply:
% 176.74/27.58 | | | | | | | | | | | | | | | | | (25490) all_61_14 = e2
% 176.74/27.58 | | | | | | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | | | | | | REDUCE: (193), (25490) imply:
% 176.74/27.58 | | | | | | | | | | | | | | | | | (25491) ~ (all_61_6 = e2)
% 176.74/27.58 | | | | | | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | | | | | | REDUCE: (177), (25490) imply:
% 176.74/27.58 | | | | | | | | | | | | | | | | | (25492) ~ (all_61_13 = e2)
% 176.74/27.58 | | | | | | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | | | | | | REDUCE: (627), (25490) imply:
% 176.74/27.58 | | | | | | | | | | | | | | | | | (25493) ~ (all_20_2 = e2)
% 176.74/27.58 | | | | | | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | | | | | | SIMP: (25493) implies:
% 176.74/27.58 | | | | | | | | | | | | | | | | | (25494) ~ (all_20_2 = e2)
% 176.74/27.58 | | | | | | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | | | | | | REDUCE: (726), (25490) imply:
% 176.74/27.58 | | | | | | | | | | | | | | | | | (25495) op(e2, e2) = all_65_27
% 176.74/27.58 | | | | | | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | | | | | | BETA: splitting (25484) gives:
% 176.74/27.58 | | | | | | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | | | | | | Case 1:
% 176.74/27.58 | | | | | | | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | | | | | | | (25496) all_63_13 = e1
% 176.74/27.58 | | | | | | | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (508), (25496) imply:
% 176.74/27.58 | | | | | | | | | | | | | | | | | | (25497) all_61_7 = e1
% 176.74/27.58 | | | | | | | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | | | | | | | SIMP: (25497) implies:
% 176.74/27.58 | | | | | | | | | | | | | | | | | | (25498) all_61_7 = e1
% 176.74/27.58 | | | | | | | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | | | | | | | REDUCE: (195), (25498) imply:
% 176.74/27.58 | | | | | | | | | | | | | | | | | | (25499) ~ (all_61_6 = e1)
% 176.74/27.58 | | | | | | | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | | | | | | | REDUCE: (617), (25498) imply:
% 176.74/27.58 | | | | | | | | | | | | | | | | | | (25500) ~ (all_20_2 = e1)
% 176.74/27.58 | | | | | | | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | | | | | | | SIMP: (25500) implies:
% 176.74/27.58 | | | | | | | | | | | | | | | | | | (25501) ~ (all_20_2 = e1)
% 176.74/27.58 | | | | | | | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | | | | | | | REDUCE: (745), (25498) imply:
% 176.74/27.58 | | | | | | | | | | | | | | | | | | (25502) op(e1, e1) = all_65_45
% 176.74/27.58 | | | | | | | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | | | | | | | BETA: splitting (262) gives:
% 176.74/27.58 | | | | | | | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | | | | | | | Case 1:
% 176.74/27.58 | | | | | | | | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | (25503) all_63_9 = e3
% 176.74/27.58 | | | | | | | | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (501), (25503) imply:
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | (25504) all_61_6 = e3
% 176.74/27.58 | | | | | | | | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | REDUCE: (21454), (25504) imply:
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | (25505) $false
% 176.74/27.58 | | | | | | | | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | CLOSE: (25505) is inconsistent.
% 176.74/27.58 | | | | | | | | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | | | | | | | Case 2:
% 176.74/27.58 | | | | | | | | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | (25506) all_63_9 = e2 | all_63_9 = e1 | all_63_9 = e0
% 176.74/27.58 | | | | | | | | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | BETA: splitting (25506) gives:
% 176.74/27.58 | | | | | | | | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | Case 1:
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | (25507) all_63_9 = e2
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (501), (25507) imply:
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | (25508) all_61_6 = e2
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | REDUCE: (25491), (25508) imply:
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | (25509) $false
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | CLOSE: (25509) is inconsistent.
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | Case 2:
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | (25510) all_63_9 = e1 | all_63_9 = e0
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | BETA: splitting (256) gives:
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | (25511) all_63_15 = e3
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (422), (25511) imply:
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | (25512) all_20_2 = e3
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | SIMP: (25512) implies:
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | (25513) all_20_2 = e3
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | REDUCE: (694), (25513) imply:
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | (25514) op(e3, e3) = all_65_73
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | REDUCE: (713), (25513) imply:
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | (25515) op(e3, e3) = all_65_15
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (264) gives:
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | (25516) all_63_7 = e3
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (498), (25072), (25516) are inconsistent by
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | sub-proof #280.
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | (25517) all_63_7 = e2 | all_63_7 = e1 | all_63_7 = e0
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (25517) gives:
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | | (25518) all_63_7 = e2
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (498), (25492), (25518) are inconsistent by
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #278.
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | | (25519) all_63_7 = e1 | all_63_7 = e0
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (25519) gives:
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | | | (25520) all_63_7 = e1
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (498), (25520) imply:
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | | | (25521) all_61_13 = e1
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (25521) implies:
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | | | (25522) all_61_13 = e1
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (664), (25522) imply:
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | | | (25523) op(e1, e1) = all_65_30
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (739), (25522) imply:
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | | | (25524) op(e1, e1) = all_65_39
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (25510) gives:
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | (25525) all_63_9 = e1
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (501), (25525) imply:
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | (25526) all_61_6 = e1
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (25499), (25526) imply:
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | (25527) $false
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (25527) is inconsistent.
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | (25528) all_63_9 = e0
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (501), (25528) imply:
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | (25529) all_61_6 = e0
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (673), (25529) imply:
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | (25530) op(e0, e0) = all_65_39
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (758), (25529) imply:
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | (25531) op(e0, e0) = all_65_67
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_67, all_65_61, e0,
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | e0, simplifying with (25480), (25531) gives:
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | (25532) all_65_61 = all_65_67
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_60_3, all_65_61, e0,
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | e0, simplifying with (25462), (25480) gives:
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | (25533) all_65_61 = all_60_3
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_67, all_65_39, e0,
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | e0, simplifying with (25530), (25531) gives:
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | (25534) all_65_39 = all_65_67
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_55, all_65_15, e0,
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | e0, simplifying with (25166), (25168) gives:
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | (25535) all_65_15 = all_65_55
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_61, all_65_15, e0,
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | e0, simplifying with (25166), (25480) gives:
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | (25536) all_65_15 = all_65_61
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_45, all_65_39, e1,
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | e1, simplifying with (25502), (25524) gives:
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | (25537) all_65_39 = all_65_45
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_39, all_65_30, e1,
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | e1, simplifying with (25523), (25524) gives:
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | (25538) all_65_30 = all_65_39
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e3, all_65_27, e2, e2,
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (25079), (25495) gives:
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | (25539) all_65_27 = e3
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_30, all_65_27, e2,
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | e2, simplifying with (25473), (25495) gives:
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | (25540) all_65_27 = all_65_30
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_15, all_65_0, e3,
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | e3, simplifying with (25167), (25515) gives:
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | (25541) all_65_0 = all_65_15
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_73, all_65_0, e3,
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | e3, simplifying with (25167), (25514) gives:
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | (25542) all_65_0 = all_65_73
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (25541), (25542) imply:
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | (25543) all_65_15 = all_65_73
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (25543) implies:
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | (25544) all_65_15 = all_65_73
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (25535), (25536) imply:
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | (25545) all_65_55 = all_65_61
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (25535), (25544) imply:
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | (25546) all_65_55 = all_65_73
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (25539), (25540) imply:
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | (25547) all_65_30 = e3
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (25547) implies:
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | (25548) all_65_30 = e3
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (25538), (25548) imply:
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | (25549) all_65_39 = e3
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (25549) implies:
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | (25550) all_65_39 = e3
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (25534), (25537) imply:
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | (25551) all_65_45 = all_65_67
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (25537), (25550) imply:
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | (25552) all_65_45 = e3
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (25551), (25552) imply:
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | (25553) all_65_67 = e3
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (25553) implies:
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | (25554) all_65_67 = e3
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (25545), (25546) imply:
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | (25555) all_65_61 = all_65_73
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (25555) implies:
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | (25556) all_65_61 = all_65_73
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (25532), (25556) imply:
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | (25557) all_65_67 = all_65_73
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (25557) implies:
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | (25558) all_65_67 = all_65_73
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (25533), (25556) imply:
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | (25559) all_65_73 = all_60_3
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (25554), (25558) imply:
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | (25560) all_65_73 = e3
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (25560) implies:
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | (25561) all_65_73 = e3
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (25559), (25561) imply:
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | (25562) all_60_3 = e3
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (25562) implies:
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | (25563) all_60_3 = e3
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (25461), (25563) imply:
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | (25564) $false
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (25564) is inconsistent.
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | | | (25565) all_63_7 = e0
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (498), (25479), (25565) are inconsistent by
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #276.
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | End of split
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | (25566) all_63_15 = e2 | all_63_15 = e1 | all_63_15 = e0
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (422), (25164), (25494), (25501), (25566) are
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #206.
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | | End of split
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | | | | | | | | End of split
% 176.74/27.58 | | | | | | | | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | | | | | | | End of split
% 176.74/27.58 | | | | | | | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | | | | | | Case 2:
% 176.74/27.58 | | | | | | | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | | | | | | | (25567) all_63_13 = e0
% 176.74/27.58 | | | | | | | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | | | | | | | REF_CLOSE: (508), (25155), (25567) are inconsistent by
% 176.74/27.58 | | | | | | | | | | | | | | | | | | sub-proof #523.
% 176.74/27.58 | | | | | | | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | | | | | | End of split
% 176.74/27.58 | | | | | | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | | | | | Case 2:
% 176.74/27.58 | | | | | | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | | | | | | (25568) all_63_11 = e1 | all_63_11 = e0
% 176.74/27.58 | | | | | | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | | | | | | REF_CLOSE: (505), (25162), (25165), (25568) are inconsistent
% 176.74/27.58 | | | | | | | | | | | | | | | | | by sub-proof #522.
% 176.74/27.58 | | | | | | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | | | | | End of split
% 176.74/27.58 | | | | | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | | | | End of split
% 176.74/27.58 | | | | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | | | End of split
% 176.74/27.58 | | | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | | End of split
% 176.74/27.58 | | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | End of split
% 176.74/27.58 | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | Case 2:
% 176.74/27.58 | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | (25569) all_63_14 = e1 | all_63_14 = e0
% 176.74/27.58 | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | | REF_CLOSE: (510), (25157), (25160), (25569) are inconsistent
% 176.74/27.58 | | | | | | | | | | | | by sub-proof #428.
% 176.74/27.58 | | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | End of split
% 176.74/27.58 | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | End of split
% 176.74/27.58 | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | End of split
% 176.74/27.58 | | | | | | | | |
% 176.74/27.58 | | | | | | | | End of split
% 176.74/27.58 | | | | | | | |
% 176.74/27.58 | | | | | | | End of split
% 176.74/27.58 | | | | | | |
% 176.74/27.58 | | | | | | End of split
% 176.74/27.58 | | | | | |
% 176.74/27.58 | | | | | Case 2:
% 176.74/27.58 | | | | | |
% 176.74/27.58 | | | | | | (25570) ~ (unit = e3)
% 176.74/27.58 | | | | | | (25571) unit = e2 | unit = e1 | unit = e0
% 176.74/27.58 | | | | | |
% 176.74/27.58 | | | | | | BETA: splitting (68) gives:
% 176.74/27.58 | | | | | |
% 176.74/27.58 | | | | | | Case 1:
% 176.74/27.58 | | | | | | |
% 176.74/27.58 | | | | | | | (25572) ~ (all_14_2 = e2)
% 176.74/27.58 | | | | | | |
% 176.74/27.58 | | | | | | | BETA: splitting (77) gives:
% 176.74/27.58 | | | | | | |
% 176.74/27.58 | | | | | | | Case 1:
% 176.74/27.58 | | | | | | | |
% 176.74/27.58 | | | | | | | | (25573) ~ (all_20_2 = e2)
% 176.74/27.58 | | | | | | | |
% 176.74/27.58 | | | | | | | | BETA: splitting (89) gives:
% 176.74/27.58 | | | | | | | |
% 176.74/27.58 | | | | | | | | Case 1:
% 176.74/27.58 | | | | | | | | |
% 176.74/27.58 | | | | | | | | | (25574) ~ (all_28_2 = e3)
% 176.74/27.58 | | | | | | | | |
% 176.74/27.58 | | | | | | | | | REDUCE: (563), (25574) imply:
% 176.74/27.58 | | | | | | | | | (25575) ~ (all_20_2 = e3)
% 176.74/27.58 | | | | | | | | |
% 176.74/27.58 | | | | | | | | | BETA: splitting (101) gives:
% 176.74/27.58 | | | | | | | | |
% 176.74/27.58 | | | | | | | | | Case 1:
% 176.74/27.58 | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | (25576) ~ (all_36_2 = e0)
% 176.74/27.58 | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | REDUCE: (557), (25576) imply:
% 176.74/27.58 | | | | | | | | | | (25577) ~ (all_14_2 = e0)
% 176.74/27.58 | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | BETA: splitting (107) gives:
% 176.74/27.58 | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | Case 1:
% 176.74/27.58 | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | (25578) ~ (all_40_2 = e1)
% 176.74/27.58 | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | REDUCE: (553), (25578) imply:
% 176.74/27.58 | | | | | | | | | | | (25579) ~ (all_14_2 = e1)
% 176.74/27.58 | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | REF_CLOSE: (10), (50), (67), (151), (159), (162), (165),
% 176.74/27.58 | | | | | | | | | | | (166), (167), (168), (226), (230), (234), (235),
% 176.74/27.58 | | | | | | | | | | | (236), (237), (271), (475), (478), (481), (484),
% 176.74/27.58 | | | | | | | | | | | (534), (588), (599), (601), (603), (635), (636),
% 176.74/27.58 | | | | | | | | | | | (637), (638), (642), (646), (650), (666), (682),
% 176.74/27.58 | | | | | | | | | | | (698), (714), (715), (731), (732), (748), (749),
% 176.74/27.58 | | | | | | | | | | | (765), (25570), (25572), (25577), (25579) are
% 176.74/27.58 | | | | | | | | | | | inconsistent by sub-proof #502.
% 176.74/27.58 | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | Case 2:
% 176.74/27.58 | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | (25580) all_40_2 = e1
% 176.74/27.58 | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | COMBINE_EQS: (553), (25580) imply:
% 176.74/27.58 | | | | | | | | | | | (25581) all_14_2 = e1
% 176.74/27.58 | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | REDUCE: (25113), (25581) imply:
% 176.74/27.58 | | | | | | | | | | | (25582) ~ (all_6_1 = e1)
% 176.74/27.58 | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | SIMP: (25582) implies:
% 176.74/27.58 | | | | | | | | | | | (25583) ~ (all_6_1 = e1)
% 176.74/27.58 | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | REDUCE: (25572), (25581) imply:
% 176.74/27.58 | | | | | | | | | | | (25584) ~ (e2 = e1)
% 176.74/27.58 | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | REDUCE: (25140), (25581) imply:
% 176.74/27.58 | | | | | | | | | | | (25585) op(e1, e2) = all_65_16
% 176.74/27.58 | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | REDUCE: (637), (25581) imply:
% 176.74/27.58 | | | | | | | | | | | (25586) op(e1, e0) = all_65_3
% 176.74/27.58 | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | REDUCE: (25120), (25581) imply:
% 176.74/27.58 | | | | | | | | | | | (25587) op(all_6_1, e2) = e1
% 176.74/27.58 | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | REDUCE: (715), (25581) imply:
% 176.74/27.58 | | | | | | | | | | | (25588) op(e2, e1) = all_65_16
% 176.74/27.58 | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | REDUCE: (749), (25581) imply:
% 176.74/27.58 | | | | | | | | | | | (25589) op(e0, e1) = all_65_49
% 176.74/27.58 | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_11, all_65_49, e1,
% 176.74/27.58 | | | | | | | | | | | e0, simplifying with (224), (25589) gives:
% 176.74/27.58 | | | | | | | | | | | (25590) all_65_49 = all_61_11
% 176.74/27.58 | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_14, all_65_3, e0,
% 176.74/27.58 | | | | | | | | | | | e1, simplifying with (227), (25586) gives:
% 176.74/27.58 | | | | | | | | | | | (25591) all_65_3 = all_61_14
% 176.74/27.58 | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_6, all_65_16, e2,
% 176.74/27.58 | | | | | | | | | | | e1, simplifying with (229), (25585) gives:
% 176.74/27.58 | | | | | | | | | | | (25592) all_65_16 = all_61_6
% 176.74/27.58 | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_9, all_65_16, e1,
% 176.74/27.58 | | | | | | | | | | | e2, simplifying with (232), (25588) gives:
% 176.74/27.58 | | | | | | | | | | | (25593) all_65_16 = all_61_9
% 176.74/27.58 | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | COMBINE_EQS: (25592), (25593) imply:
% 176.74/27.58 | | | | | | | | | | | (25594) all_61_6 = all_61_9
% 176.74/27.58 | | | | | | | | | | |
% 176.74/27.58 | | | | | | | | | | | SIMP: (25594) implies:
% 176.74/27.59 | | | | | | | | | | | (25595) all_61_6 = all_61_9
% 176.74/27.59 | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | REDUCE: (672), (25595) imply:
% 176.74/27.59 | | | | | | | | | | | (25596) op(all_61_9, e1) = all_65_38
% 176.74/27.59 | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | GROUND_INST: instantiating (50) with all_6_1, all_65_38, e1,
% 176.74/27.59 | | | | | | | | | | | all_61_9, simplifying with (25125), (25596) gives:
% 176.74/27.59 | | | | | | | | | | | (25597) all_65_38 = all_6_1
% 176.74/27.59 | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | BETA: splitting (110) gives:
% 176.74/27.59 | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | Case 1:
% 176.74/27.59 | | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | | (25598) ~ (all_42_2 = e1)
% 176.74/27.59 | | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | | REDUCE: (532), (25598) imply:
% 176.74/27.59 | | | | | | | | | | | | (25599) ~ (all_20_2 = e1)
% 176.74/27.59 | | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | | BETA: splitting (256) gives:
% 176.74/27.59 | | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | | Case 1:
% 176.74/27.59 | | | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | | | (25600) all_63_15 = e3
% 176.74/27.59 | | | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | | | COMBINE_EQS: (422), (25600) imply:
% 176.74/27.59 | | | | | | | | | | | | | (25601) all_20_2 = e3
% 176.74/27.59 | | | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | | | REDUCE: (25575), (25601) imply:
% 176.74/27.59 | | | | | | | | | | | | | (25602) $false
% 176.74/27.59 | | | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | | | CLOSE: (25602) is inconsistent.
% 176.74/27.59 | | | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | | Case 2:
% 176.74/27.59 | | | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | | | (25603) all_63_15 = e2 | all_63_15 = e1 | all_63_15 = e0
% 176.74/27.59 | | | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | | | BETA: splitting (25603) gives:
% 176.74/27.59 | | | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | | | Case 1:
% 176.74/27.59 | | | | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | | | | (25604) all_63_15 = e2
% 176.74/27.59 | | | | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | | | | COMBINE_EQS: (422), (25604) imply:
% 176.74/27.59 | | | | | | | | | | | | | | (25605) all_20_2 = e2
% 176.74/27.59 | | | | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | | | | REDUCE: (25573), (25605) imply:
% 176.74/27.59 | | | | | | | | | | | | | | (25606) $false
% 176.74/27.59 | | | | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | | | | CLOSE: (25606) is inconsistent.
% 176.74/27.59 | | | | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | | | Case 2:
% 176.74/27.59 | | | | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | | | | (25607) all_63_15 = e1 | all_63_15 = e0
% 176.74/27.59 | | | | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | | | | BETA: splitting (25607) gives:
% 176.74/27.59 | | | | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | | | | Case 1:
% 176.74/27.59 | | | | | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | | | | | (25608) all_63_15 = e1
% 176.74/27.59 | | | | | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | | | | | COMBINE_EQS: (422), (25608) imply:
% 176.74/27.59 | | | | | | | | | | | | | | | (25609) all_20_2 = e1
% 176.74/27.59 | | | | | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | | | | | REDUCE: (25599), (25609) imply:
% 176.74/27.59 | | | | | | | | | | | | | | | (25610) $false
% 176.74/27.59 | | | | | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | | | | | CLOSE: (25610) is inconsistent.
% 176.74/27.59 | | | | | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | | | | Case 2:
% 176.74/27.59 | | | | | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | | | | | (25611) all_63_15 = e0
% 176.74/27.59 | | | | | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | | | | | COMBINE_EQS: (422), (25611) imply:
% 176.74/27.59 | | | | | | | | | | | | | | | (25612) all_20_2 = e0
% 176.74/27.59 | | | | | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | | | | | REDUCE: (626), (25612) imply:
% 176.74/27.59 | | | | | | | | | | | | | | | (25613) ~ (all_61_13 = e0)
% 176.74/27.59 | | | | | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | | | | | REDUCE: (730), (25612) imply:
% 176.74/27.59 | | | | | | | | | | | | | | | (25614) op(e2, e0) = all_65_31
% 176.74/27.59 | | | | | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_13, all_65_31, e0,
% 176.74/27.59 | | | | | | | | | | | | | | | e2, simplifying with (231), (25614) gives:
% 176.74/27.59 | | | | | | | | | | | | | | | (25615) all_65_31 = all_61_13
% 176.74/27.59 | | | | | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | | | | | REDUCE: (665), (25615) imply:
% 176.74/27.59 | | | | | | | | | | | | | | | (25616) op(all_61_13, e0) = all_61_13
% 176.74/27.59 | | | | | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | | | | | BETA: splitting (158) gives:
% 176.74/27.59 | | | | | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | | | | | Case 1:
% 176.74/27.59 | | | | | | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | | | | | | (25617) ~ (all_58_3 = e2)
% 176.74/27.59 | | | | | | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | | | | | | REDUCE: (475), (25617) imply:
% 176.74/27.59 | | | | | | | | | | | | | | | | (25618) ~ (all_52_3 = e2)
% 176.74/27.59 | | | | | | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | | | | | | BETA: splitting (163) gives:
% 176.74/27.59 | | | | | | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | | | | | | Case 1:
% 176.74/27.59 | | | | | | | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | | | | | | | (25619) ~ (all_58_1 = e0)
% 176.74/27.59 | | | | | | | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (20), (50), (150), (164), (165), (232),
% 176.74/27.59 | | | | | | | | | | | | | | | | | (481), (484), (536), (714), (731), (25079),
% 176.74/27.59 | | | | | | | | | | | | | | | | | (25125), (25128), (25570), (25583), (25587),
% 176.74/27.59 | | | | | | | | | | | | | | | | | (25619) are inconsistent by sub-proof #5.
% 176.74/27.59 | | | | | | | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | | | | | | Case 2:
% 176.74/27.59 | | | | | | | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | | | | | | | (25620) all_58_3 = e2
% 176.74/27.59 | | | | | | | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | | | | | | | REF_CLOSE: (475), (25618), (25620) are inconsistent by
% 176.74/27.59 | | | | | | | | | | | | | | | | | sub-proof #459.
% 176.74/27.59 | | | | | | | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | | | | | | End of split
% 176.74/27.59 | | | | | | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | | | | | Case 2:
% 176.74/27.59 | | | | | | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | | | | | | (25621) all_58_1 = e0
% 176.74/27.59 | | | | | | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | | | | | | REF_CLOSE: (7), (50), (231), (481), (731), (25613), (25616),
% 176.74/27.59 | | | | | | | | | | | | | | | | (25621) are inconsistent by sub-proof #87.
% 176.74/27.59 | | | | | | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | | | | | End of split
% 176.74/27.59 | | | | | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | | | | End of split
% 176.74/27.59 | | | | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | | | End of split
% 176.74/27.59 | | | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | | End of split
% 176.74/27.59 | | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | Case 2:
% 176.74/27.59 | | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | | (25622) all_42_2 = e1
% 176.74/27.59 | | | | | | | | | | | | (25623) op(e0, e1) = all_42_1 & $i(all_42_1) & ( ~
% 176.74/27.59 | | | | | | | | | | | | (all_42_1 = e3) | ( ~ (all_42_0 = e2) & op(e3,
% 176.74/27.59 | | | | | | | | | | | | e0) = all_42_0 & $i(all_42_0)))
% 176.74/27.59 | | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | | ALPHA: (25623) implies:
% 176.74/27.59 | | | | | | | | | | | | (25624) op(e0, e1) = all_42_1
% 176.74/27.59 | | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | | COMBINE_EQS: (532), (25622) imply:
% 176.74/27.59 | | | | | | | | | | | | (25625) all_20_2 = e1
% 176.74/27.59 | | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | | COMBINE_EQS: (582), (25625) imply:
% 176.74/27.59 | | | | | | | | | | | | (25626) all_50_2 = e1
% 176.74/27.59 | | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | | REDUCE: (626), (25625) imply:
% 176.74/27.59 | | | | | | | | | | | | (25627) ~ (all_61_13 = e1)
% 176.74/27.59 | | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | | REDUCE: (697), (25625) imply:
% 176.74/27.59 | | | | | | | | | | | | (25628) op(e1, e0) = all_65_78
% 176.74/27.59 | | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | | REDUCE: (730), (25625) imply:
% 176.74/27.59 | | | | | | | | | | | | (25629) op(e2, e1) = all_65_31
% 176.74/27.59 | | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | | REDUCE: (764), (25625) imply:
% 176.74/27.59 | | | | | | | | | | | | (25630) op(e0, e1) = all_65_78
% 176.74/27.59 | | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | | BETA: splitting (122) gives:
% 176.74/27.59 | | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | | Case 1:
% 176.74/27.59 | | | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | | | (25631) ~ (all_50_2 = e1)
% 176.74/27.59 | | | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | | | REDUCE: (25626), (25631) imply:
% 176.74/27.59 | | | | | | | | | | | | | (25632) $false
% 176.74/27.59 | | | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | | | CLOSE: (25632) is inconsistent.
% 176.74/27.59 | | | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | | Case 2:
% 176.74/27.59 | | | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_11, all_65_78, e1,
% 176.74/27.59 | | | | | | | | | | | | | e0, simplifying with (224), (25630) gives:
% 176.74/27.59 | | | | | | | | | | | | | (25633) all_65_78 = all_61_11
% 176.74/27.59 | | | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_42_1, all_65_78, e1,
% 176.74/27.59 | | | | | | | | | | | | | e0, simplifying with (25624), (25630) gives:
% 176.74/27.59 | | | | | | | | | | | | | (25634) all_65_78 = all_42_1
% 176.74/27.59 | | | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_14, all_65_78, e0,
% 176.74/27.59 | | | | | | | | | | | | | e1, simplifying with (227), (25628) gives:
% 176.74/27.59 | | | | | | | | | | | | | (25635) all_65_78 = all_61_14
% 176.74/27.59 | | | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_9, all_65_31, e1,
% 176.74/27.59 | | | | | | | | | | | | | e2, simplifying with (232), (25629) gives:
% 176.74/27.59 | | | | | | | | | | | | | (25636) all_65_31 = all_61_9
% 176.74/27.59 | | | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | | | COMBINE_EQS: (25633), (25634) imply:
% 176.74/27.59 | | | | | | | | | | | | | (25637) all_61_11 = all_42_1
% 176.74/27.59 | | | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | | | SIMP: (25637) implies:
% 176.74/27.59 | | | | | | | | | | | | | (25638) all_61_11 = all_42_1
% 176.74/27.59 | | | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | | | COMBINE_EQS: (25634), (25635) imply:
% 176.74/27.59 | | | | | | | | | | | | | (25639) all_61_14 = all_42_1
% 176.74/27.59 | | | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | | | SIMP: (25639) implies:
% 176.74/27.59 | | | | | | | | | | | | | (25640) all_61_14 = all_42_1
% 176.74/27.59 | | | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | | | REDUCE: (21518), (25638) imply:
% 176.74/27.59 | | | | | | | | | | | | | (25641) op(all_42_1, e1) = all_61_3
% 176.74/27.59 | | | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | | | REDUCE: (665), (25636) imply:
% 176.74/27.59 | | | | | | | | | | | | | (25642) op(all_61_13, e0) = all_61_9
% 176.74/27.59 | | | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | | | REDUCE: (680), (25640) imply:
% 176.74/27.59 | | | | | | | | | | | | | (25643) op(all_42_1, e1) = all_65_46
% 176.74/27.59 | | | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | | | REDUCE: (746), (25638) imply:
% 176.74/27.59 | | | | | | | | | | | | | (25644) op(e1, all_42_1) = all_65_46
% 176.74/27.59 | | | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | | | REDUCE: (21525), (25640) imply:
% 176.74/27.59 | | | | | | | | | | | | | (25645) op(e1, all_42_1) = all_61_12
% 176.74/27.59 | | | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_12, all_65_46,
% 176.74/27.59 | | | | | | | | | | | | | all_42_1, e1, simplifying with (25644), (25645)
% 176.74/27.59 | | | | | | | | | | | | | gives:
% 176.74/27.59 | | | | | | | | | | | | | (25646) all_65_46 = all_61_12
% 176.74/27.59 | | | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_3, all_65_46, e1,
% 176.74/27.59 | | | | | | | | | | | | | all_42_1, simplifying with (25641), (25643) gives:
% 176.74/27.59 | | | | | | | | | | | | | (25647) all_65_46 = all_61_3
% 176.74/27.59 | | | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | | | COMBINE_EQS: (25646), (25647) imply:
% 176.74/27.59 | | | | | | | | | | | | | (25648) all_61_3 = all_61_12
% 176.74/27.59 | | | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | | | REDUCE: (25124), (25648) imply:
% 176.74/27.59 | | | | | | | | | | | | | (25649) op(all_61_7, e2) = all_61_12
% 176.74/27.59 | | | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | | | BETA: splitting (163) gives:
% 176.74/27.59 | | | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | | | Case 1:
% 176.74/27.59 | | | | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | | | | (25650) ~ (all_58_1 = e0)
% 176.74/27.59 | | | | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (20), (50), (150), (164), (165), (232),
% 176.74/27.59 | | | | | | | | | | | | | | (481), (484), (536), (714), (731), (25079),
% 176.74/27.59 | | | | | | | | | | | | | | (25125), (25128), (25570), (25583), (25587),
% 176.74/27.59 | | | | | | | | | | | | | | (25650) are inconsistent by sub-proof #5.
% 176.74/27.59 | | | | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | | | Case 2:
% 176.74/27.59 | | | | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | | | | (25651) all_58_3 = e2
% 176.74/27.59 | | | | | | | | | | | | | | (25652) all_58_1 = e0
% 176.74/27.59 | | | | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | | | | COMBINE_EQS: (481), (25652) imply:
% 176.74/27.59 | | | | | | | | | | | | | | (25653) all_52_1 = e0
% 176.74/27.59 | | | | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | | | | SIMP: (25653) implies:
% 176.74/27.59 | | | | | | | | | | | | | | (25654) all_52_1 = e0
% 176.74/27.59 | | | | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | | | | COMBINE_EQS: (475), (25651) imply:
% 176.74/27.59 | | | | | | | | | | | | | | (25655) all_52_3 = e2
% 176.74/27.59 | | | | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | | | | SIMP: (25655) implies:
% 176.74/27.59 | | | | | | | | | | | | | | (25656) all_52_3 = e2
% 176.74/27.59 | | | | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | | | | REDUCE: (731), (25654) imply:
% 176.74/27.59 | | | | | | | | | | | | | | (25657) op(e2, e0) = unit
% 176.74/27.59 | | | | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | | | | REDUCE: (765), (25656) imply:
% 176.74/27.59 | | | | | | | | | | | | | | (25658) op(e0, e2) = unit
% 176.74/27.59 | | | | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_7, unit, e2, e0,
% 176.74/27.59 | | | | | | | | | | | | | | simplifying with (225), (25658) gives:
% 176.74/27.59 | | | | | | | | | | | | | | (25659) all_61_7 = unit
% 176.74/27.59 | | | | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_13, unit, e0, e2,
% 176.74/27.59 | | | | | | | | | | | | | | simplifying with (231), (25657) gives:
% 176.74/27.59 | | | | | | | | | | | | | | (25660) all_61_13 = unit
% 176.74/27.59 | | | | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | | | | REDUCE: (184), (25660) imply:
% 176.74/27.59 | | | | | | | | | | | | | | (25661) ~ (all_61_9 = unit)
% 176.74/27.59 | | | | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | | | | REDUCE: (180), (25660) imply:
% 176.74/27.59 | | | | | | | | | | | | | | (25662) ~ (all_61_12 = unit)
% 176.74/27.59 | | | | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | | | | REDUCE: (25627), (25660) imply:
% 176.74/27.59 | | | | | | | | | | | | | | (25663) ~ (unit = e1)
% 176.74/27.59 | | | | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | | | | REDUCE: (25649), (25659) imply:
% 176.74/27.59 | | | | | | | | | | | | | | (25664) op(unit, e2) = all_61_12
% 176.74/27.59 | | | | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | | | | REDUCE: (689), (25659) imply:
% 176.74/27.59 | | | | | | | | | | | | | | (25665) op(unit, e0) = all_65_63
% 176.74/27.59 | | | | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | | | | REDUCE: (663), (25660) imply:
% 176.74/27.59 | | | | | | | | | | | | | | (25666) op(unit, e2) = all_65_29
% 176.74/27.59 | | | | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | | | | REDUCE: (25642), (25660) imply:
% 176.74/27.59 | | | | | | | | | | | | | | (25667) op(unit, e0) = all_61_9
% 176.74/27.59 | | | | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e0, all_65_63, e0, unit,
% 176.74/27.59 | | | | | | | | | | | | | | simplifying with (7), (25665) gives:
% 176.74/27.59 | | | | | | | | | | | | | | (25668) all_65_63 = e0
% 176.74/27.59 | | | | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_9, all_65_63, e0,
% 176.74/27.59 | | | | | | | | | | | | | | unit, simplifying with (25665), (25667) gives:
% 176.74/27.59 | | | | | | | | | | | | | | (25669) all_65_63 = all_61_9
% 176.74/27.59 | | | | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e2, all_65_29, e2, unit,
% 176.74/27.59 | | | | | | | | | | | | | | simplifying with (9), (25666) gives:
% 176.74/27.59 | | | | | | | | | | | | | | (25670) all_65_29 = e2
% 176.74/27.59 | | | | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_12, all_65_29, e2,
% 176.74/27.59 | | | | | | | | | | | | | | unit, simplifying with (25664), (25666) gives:
% 176.74/27.59 | | | | | | | | | | | | | | (25671) all_65_29 = all_61_12
% 176.74/27.59 | | | | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | | | | COMBINE_EQS: (25670), (25671) imply:
% 176.74/27.59 | | | | | | | | | | | | | | (25672) all_61_12 = e2
% 176.74/27.59 | | | | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | | | | COMBINE_EQS: (25668), (25669) imply:
% 176.74/27.59 | | | | | | | | | | | | | | (25673) all_61_9 = e0
% 176.74/27.59 | | | | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | | | | REF_CLOSE: (25571), (25661), (25662), (25663), (25672),
% 176.74/27.59 | | | | | | | | | | | | | | (25673) are inconsistent by sub-proof #95.
% 176.74/27.59 | | | | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | | | End of split
% 176.74/27.59 | | | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | | End of split
% 176.74/27.59 | | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | End of split
% 176.74/27.59 | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | End of split
% 176.74/27.59 | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | Case 2:
% 176.74/27.59 | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | (25674) all_36_2 = e0
% 176.74/27.59 | | | | | | | | | | (25675) op(e3, e0) = all_36_1 & $i(all_36_1) & ( ~
% 176.74/27.59 | | | | | | | | | | (all_36_1 = e2) | ( ~ (all_36_0 = e1) & op(e2,
% 176.74/27.59 | | | | | | | | | | e3) = all_36_0 & $i(all_36_0)))
% 176.74/27.59 | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | ALPHA: (25675) implies:
% 176.74/27.59 | | | | | | | | | | (25676) op(e3, e0) = all_36_1
% 176.74/27.59 | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | COMBINE_EQS: (557), (25674) imply:
% 176.74/27.59 | | | | | | | | | | (25677) all_14_2 = e0
% 176.74/27.59 | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | SIMP: (25677) implies:
% 176.74/27.59 | | | | | | | | | | (25678) all_14_2 = e0
% 176.74/27.59 | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | COMBINE_EQS: (549), (25678) imply:
% 176.74/27.59 | | | | | | | | | | (25679) all_44_2 = e0
% 176.74/27.59 | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | REDUCE: (634), (25678) imply:
% 176.74/27.59 | | | | | | | | | | (25680) op(e0, e3) = all_65_0
% 176.74/27.59 | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | REDUCE: (25140), (25678) imply:
% 176.74/27.59 | | | | | | | | | | (25681) op(e0, e2) = all_65_16
% 176.74/27.59 | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | REDUCE: (21538), (25678) imply:
% 176.74/27.59 | | | | | | | | | | (25682) op(e0, e1) = all_65_32
% 176.74/27.59 | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | REDUCE: (637), (25678) imply:
% 176.74/27.59 | | | | | | | | | | (25683) op(e0, e0) = all_65_3
% 176.74/27.59 | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | REDUCE: (25120), (25678) imply:
% 176.74/27.59 | | | | | | | | | | (25684) op(all_6_1, e2) = e0
% 176.74/27.59 | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | REDUCE: (21515), (25678) imply:
% 176.74/27.59 | | | | | | | | | | (25685) op(all_4_1, e1) = e0
% 176.74/27.59 | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | REDUCE: (698), (25678) imply:
% 176.74/27.59 | | | | | | | | | | (25686) op(e3, e0) = all_65_0
% 176.74/27.59 | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | REDUCE: (67), (25678) imply:
% 176.74/27.59 | | | | | | | | | | (25687) op(e3, e3) = e0
% 176.74/27.59 | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | REDUCE: (715), (25678) imply:
% 176.74/27.59 | | | | | | | | | | (25688) op(e2, e0) = all_65_16
% 176.74/27.59 | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | REDUCE: (25142), (25678) imply:
% 176.74/27.59 | | | | | | | | | | (25689) op(e2, all_6_1) = e0
% 176.74/27.59 | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | REDUCE: (732), (25678) imply:
% 176.74/27.59 | | | | | | | | | | (25690) op(e1, e0) = all_65_32
% 176.74/27.59 | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | REDUCE: (749), (25678) imply:
% 176.74/27.59 | | | | | | | | | | (25691) op(e0, e0) = all_65_49
% 176.74/27.59 | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | BETA: splitting (113) gives:
% 176.74/27.59 | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | Case 1:
% 176.74/27.59 | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | (25692) ~ (all_44_2 = e0)
% 176.74/27.59 | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | REDUCE: (25679), (25692) imply:
% 176.74/27.59 | | | | | | | | | | | (25693) $false
% 176.74/27.59 | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | CLOSE: (25693) is inconsistent.
% 176.74/27.59 | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | Case 2:
% 176.74/27.59 | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | (25694) op(e3, e0) = all_44_1 & $i(all_44_1) & ( ~
% 176.74/27.59 | | | | | | | | | | | (all_44_1 = e1) | ( ~ (all_44_0 = e2) & op(e1,
% 176.74/27.59 | | | | | | | | | | | e3) = all_44_0 & $i(all_44_0)))
% 176.74/27.59 | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | ALPHA: (25694) implies:
% 176.74/27.59 | | | | | | | | | | | (25695) op(e3, e0) = all_44_1
% 176.74/27.59 | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | GROUND_INST: instantiating (50) with all_20_2, all_65_3, e0,
% 176.74/27.59 | | | | | | | | | | | e0, simplifying with (76), (25683) gives:
% 176.74/27.59 | | | | | | | | | | | (25696) all_65_3 = all_20_2
% 176.74/27.59 | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_49, all_65_3, e0,
% 176.74/27.59 | | | | | | | | | | | e0, simplifying with (25683), (25691) gives:
% 176.74/27.59 | | | | | | | | | | | (25697) all_65_3 = all_65_49
% 176.74/27.59 | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_11, all_65_32, e1,
% 176.74/27.59 | | | | | | | | | | | e0, simplifying with (224), (25682) gives:
% 176.74/27.59 | | | | | | | | | | | (25698) all_65_32 = all_61_11
% 176.74/27.59 | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_7, all_65_16, e2,
% 176.74/27.59 | | | | | | | | | | | e0, simplifying with (225), (25681) gives:
% 176.74/27.59 | | | | | | | | | | | (25699) all_65_16 = all_61_7
% 176.74/27.59 | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_3, all_65_0, e3,
% 176.74/27.59 | | | | | | | | | | | e0, simplifying with (226), (25680) gives:
% 176.74/27.59 | | | | | | | | | | | (25700) all_65_0 = all_61_3
% 176.74/27.59 | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_14, all_65_32, e0,
% 176.74/27.59 | | | | | | | | | | | e1, simplifying with (227), (25690) gives:
% 176.74/27.59 | | | | | | | | | | | (25701) all_65_32 = all_61_14
% 176.74/27.59 | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_13, all_65_16, e0,
% 176.74/27.59 | | | | | | | | | | | e2, simplifying with (231), (25688) gives:
% 176.74/27.59 | | | | | | | | | | | (25702) all_65_16 = all_61_13
% 176.74/27.59 | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_12, all_44_1, e0,
% 176.74/27.59 | | | | | | | | | | | e3, simplifying with (235), (25695) gives:
% 176.74/27.59 | | | | | | | | | | | (25703) all_61_12 = all_44_1
% 176.74/27.59 | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_12, all_65_0, e0,
% 176.74/27.59 | | | | | | | | | | | e3, simplifying with (235), (25686) gives:
% 176.74/27.59 | | | | | | | | | | | (25704) all_65_0 = all_61_12
% 176.74/27.59 | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | GROUND_INST: instantiating (50) with all_36_1, all_65_0, e0,
% 176.74/27.59 | | | | | | | | | | | e3, simplifying with (25676), (25686) gives:
% 176.74/27.59 | | | | | | | | | | | (25705) all_65_0 = all_36_1
% 176.74/27.59 | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | COMBINE_EQS: (25704), (25705) imply:
% 176.74/27.59 | | | | | | | | | | | (25706) all_61_12 = all_36_1
% 176.74/27.59 | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | SIMP: (25706) implies:
% 176.74/27.59 | | | | | | | | | | | (25707) all_61_12 = all_36_1
% 176.74/27.59 | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | COMBINE_EQS: (25700), (25705) imply:
% 176.74/27.59 | | | | | | | | | | | (25708) all_61_3 = all_36_1
% 176.74/27.59 | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | SIMP: (25708) implies:
% 176.74/27.59 | | | | | | | | | | | (25709) all_61_3 = all_36_1
% 176.74/27.59 | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | COMBINE_EQS: (25696), (25697) imply:
% 176.74/27.59 | | | | | | | | | | | (25710) all_65_49 = all_20_2
% 176.74/27.59 | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | COMBINE_EQS: (25699), (25702) imply:
% 176.74/27.59 | | | | | | | | | | | (25711) all_61_7 = all_61_13
% 176.74/27.59 | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | SIMP: (25711) implies:
% 176.74/27.59 | | | | | | | | | | | (25712) all_61_7 = all_61_13
% 176.74/27.59 | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | COMBINE_EQS: (25698), (25701) imply:
% 176.74/27.59 | | | | | | | | | | | (25713) all_61_11 = all_61_14
% 176.74/27.59 | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | COMBINE_EQS: (25703), (25707) imply:
% 176.74/27.59 | | | | | | | | | | | (25714) all_44_1 = all_36_1
% 176.74/27.59 | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | REDUCE: (682), (25709), (25710) imply:
% 176.74/27.59 | | | | | | | | | | | (25715) op(all_36_1, e3) = all_20_2
% 176.74/27.59 | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | REDUCE: (685), (25709) imply:
% 176.74/27.59 | | | | | | | | | | | (25716) op(all_36_1, e0) = all_65_55
% 176.74/27.59 | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | REDUCE: (25124), (25709), (25712) imply:
% 176.74/27.59 | | | | | | | | | | | (25717) op(all_61_13, e2) = all_36_1
% 176.74/27.59 | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | REDUCE: (689), (25712) imply:
% 176.74/27.59 | | | | | | | | | | | (25718) op(all_61_13, e0) = all_65_63
% 176.74/27.59 | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | REDUCE: (693), (25713) imply:
% 176.74/27.59 | | | | | | | | | | | (25719) op(all_61_14, e0) = all_65_71
% 176.74/27.59 | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | REDUCE: (646), (25707) imply:
% 176.74/27.59 | | | | | | | | | | | (25720) op(all_36_1, e3) = all_65_12
% 176.74/27.59 | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | REDUCE: (649), (25707) imply:
% 176.74/27.59 | | | | | | | | | | | (25721) op(all_36_1, e0) = all_65_15
% 176.74/27.59 | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | REDUCE: (728), (25712) imply:
% 176.74/27.59 | | | | | | | | | | | (25722) op(e2, all_61_13) = all_65_29
% 176.74/27.59 | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | REDUCE: (761), (25709) imply:
% 176.74/27.59 | | | | | | | | | | | (25723) op(e0, all_36_1) = all_65_73
% 176.74/27.59 | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | REDUCE: (762), (25712) imply:
% 176.74/27.59 | | | | | | | | | | | (25724) op(e0, all_61_13) = all_65_75
% 176.74/27.59 | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | REDUCE: (763), (25713) imply:
% 176.74/27.59 | | | | | | | | | | | (25725) op(e0, all_61_14) = all_65_77
% 176.74/27.59 | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | REDUCE: (752), (25707) imply:
% 176.74/27.59 | | | | | | | | | | | (25726) op(e0, all_36_1) = all_65_55
% 176.74/27.59 | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_73, all_65_55,
% 176.74/27.59 | | | | | | | | | | | all_36_1, e0, simplifying with (25723), (25726)
% 176.74/27.59 | | | | | | | | | | | gives:
% 176.74/27.59 | | | | | | | | | | | (25727) all_65_55 = all_65_73
% 176.74/27.59 | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_71, all_65_77,
% 176.74/27.59 | | | | | | | | | | | all_61_14, e0, simplifying with (760), (25725)
% 176.74/27.59 | | | | | | | | | | | gives:
% 176.74/27.59 | | | | | | | | | | | (25728) all_65_71 = all_65_77
% 176.74/27.59 | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_63, all_65_75,
% 176.74/27.59 | | | | | | | | | | | all_61_13, e0, simplifying with (756), (25724)
% 176.74/27.59 | | | | | | | | | | | gives:
% 176.74/27.59 | | | | | | | | | | | (25729) all_65_63 = all_65_75
% 176.74/27.59 | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_55, all_65_15, e0,
% 176.74/27.59 | | | | | | | | | | | all_36_1, simplifying with (25716), (25721) gives:
% 176.74/27.59 | | | | | | | | | | | (25730) all_65_15 = all_65_55
% 176.74/27.59 | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | GROUND_INST: instantiating (50) with all_20_2, all_65_12, e3,
% 176.74/27.59 | | | | | | | | | | | all_36_1, simplifying with (25715), (25720) gives:
% 176.74/27.59 | | | | | | | | | | | (25731) all_65_12 = all_20_2
% 176.74/27.59 | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_47, all_65_71, e0,
% 176.74/27.59 | | | | | | | | | | | all_61_14, simplifying with (681), (25719) gives:
% 176.74/27.59 | | | | | | | | | | | (25732) all_65_47 = all_65_71
% 176.74/27.59 | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_31, all_65_63, e0,
% 176.74/27.59 | | | | | | | | | | | all_61_13, simplifying with (665), (25718) gives:
% 176.74/27.59 | | | | | | | | | | | (25733) all_65_31 = all_65_63
% 176.74/27.59 | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_29, all_36_1, e2,
% 176.74/27.59 | | | | | | | | | | | all_61_13, simplifying with (663), (25717) gives:
% 176.74/27.59 | | | | | | | | | | | (25734) all_65_29 = all_36_1
% 176.74/27.59 | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | COMBINE_EQS: (25728), (25732) imply:
% 176.74/27.59 | | | | | | | | | | | (25735) all_65_47 = all_65_77
% 176.74/27.59 | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | COMBINE_EQS: (25729), (25733) imply:
% 176.74/27.59 | | | | | | | | | | | (25736) all_65_31 = all_65_75
% 176.74/27.59 | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | COMBINE_EQS: (25727), (25730) imply:
% 176.74/27.59 | | | | | | | | | | | (25737) all_65_15 = all_65_73
% 176.74/27.59 | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | REDUCE: (25719), (25728) imply:
% 176.74/27.59 | | | | | | | | | | | (25738) op(all_61_14, e0) = all_65_77
% 176.74/27.59 | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | REDUCE: (713), (25737) imply:
% 176.74/27.59 | | | | | | | | | | | (25739) op(e3, all_20_2) = all_65_73
% 176.74/27.59 | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | REDUCE: (25722), (25734) imply:
% 176.74/27.59 | | | | | | | | | | | (25740) op(e2, all_61_13) = all_36_1
% 176.74/27.59 | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | REDUCE: (730), (25736) imply:
% 176.74/27.59 | | | | | | | | | | | (25741) op(e2, all_20_2) = all_65_75
% 176.74/27.59 | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | REDUCE: (747), (25735) imply:
% 176.74/27.59 | | | | | | | | | | | (25742) op(e1, all_20_2) = all_65_77
% 176.74/27.59 | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | BETA: splitting (110) gives:
% 176.74/27.59 | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | Case 1:
% 176.74/27.59 | | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | | (25743) ~ (all_42_2 = e1)
% 176.74/27.59 | | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | | REDUCE: (532), (25743) imply:
% 176.74/27.59 | | | | | | | | | | | | (25744) ~ (all_20_2 = e1)
% 176.74/27.59 | | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | | BETA: splitting (256) gives:
% 176.74/27.59 | | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | | Case 1:
% 176.74/27.59 | | | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | | | (25745) all_63_15 = e3
% 176.74/27.59 | | | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | | | REF_CLOSE: (422), (25575), (25745) are inconsistent by
% 176.74/27.59 | | | | | | | | | | | | | sub-proof #501.
% 176.74/27.59 | | | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | | Case 2:
% 176.74/27.59 | | | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | | | (25746) all_63_15 = e2 | all_63_15 = e1 | all_63_15 = e0
% 176.74/27.59 | | | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | | | BETA: splitting (25746) gives:
% 176.74/27.59 | | | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | | | Case 1:
% 176.74/27.59 | | | | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | | | | (25747) all_63_15 = e2
% 176.74/27.59 | | | | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | | | | REF_CLOSE: (422), (25573), (25747) are inconsistent by
% 176.74/27.59 | | | | | | | | | | | | | | sub-proof #500.
% 176.74/27.59 | | | | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | | | Case 2:
% 176.74/27.59 | | | | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | | | | (25748) ~ (all_63_15 = e2)
% 176.74/27.59 | | | | | | | | | | | | | | (25749) all_63_15 = e1 | all_63_15 = e0
% 176.74/27.59 | | | | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | | | | BETA: splitting (25749) gives:
% 176.74/27.59 | | | | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | | | | Case 1:
% 176.74/27.59 | | | | | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | | | | | (25750) all_63_15 = e1
% 176.74/27.59 | | | | | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | | | | | REF_CLOSE: (422), (25744), (25750) are inconsistent by
% 176.74/27.59 | | | | | | | | | | | | | | | sub-proof #499.
% 176.74/27.59 | | | | | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | | | | Case 2:
% 176.74/27.59 | | | | | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | | | | | (25751) all_63_15 = e0
% 176.74/27.59 | | | | | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | | | | | COMBINE_EQS: (422), (25751) imply:
% 176.74/27.59 | | | | | | | | | | | | | | | (25752) all_20_2 = e0
% 176.74/27.59 | | | | | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | | | | | SIMP: (25752) implies:
% 176.74/27.59 | | | | | | | | | | | | | | | (25753) all_20_2 = e0
% 176.74/27.59 | | | | | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | | | | | REDUCE: (25573), (25753) imply:
% 176.74/27.59 | | | | | | | | | | | | | | | (25754) ~ (e2 = e0)
% 176.74/27.59 | | | | | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | | | | | REDUCE: (25744), (25753) imply:
% 176.74/27.59 | | | | | | | | | | | | | | | (25755) ~ (e1 = e0)
% 176.74/27.59 | | | | | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | | | | | REDUCE: (25715), (25753) imply:
% 176.74/27.59 | | | | | | | | | | | | | | | (25756) op(all_36_1, e3) = e0
% 176.74/27.59 | | | | | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | | | | | REDUCE: (25739), (25753) imply:
% 176.74/27.59 | | | | | | | | | | | | | | | (25757) op(e3, e0) = all_65_73
% 176.74/27.59 | | | | | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | | | | | REDUCE: (25741), (25753) imply:
% 176.74/27.59 | | | | | | | | | | | | | | | (25758) op(e2, e0) = all_65_75
% 176.74/27.59 | | | | | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_13, all_65_75, e0,
% 176.74/27.59 | | | | | | | | | | | | | | | e2, simplifying with (231), (25758) gives:
% 176.74/27.59 | | | | | | | | | | | | | | | (25759) all_65_75 = all_61_13
% 176.74/27.59 | | | | | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_36_1, all_65_73, e0,
% 176.74/27.59 | | | | | | | | | | | | | | | e3, simplifying with (25676), (25757) gives:
% 176.74/27.59 | | | | | | | | | | | | | | | (25760) all_65_73 = all_36_1
% 176.74/27.59 | | | | | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | | | | | BETA: splitting (162) gives:
% 176.74/27.59 | | | | | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | | | | | Case 1:
% 176.74/27.59 | | | | | | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | | | | | | (25761) ~ (all_58_2 = e3)
% 176.74/27.59 | | | | | | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | | | | | | REDUCE: (478), (25761) imply:
% 176.74/27.59 | | | | | | | | | | | | | | | | (25762) ~ (all_52_2 = e3)
% 176.74/27.59 | | | | | | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | | | | | | BETA: splitting (167) gives:
% 176.74/27.59 | | | | | | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | | | | | | Case 1:
% 176.74/27.59 | | | | | | | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | | | | | | | (25763) ~ (all_58_0 = e1)
% 176.74/27.59 | | | | | | | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | | | | | | | REDUCE: (484), (25763) imply:
% 176.74/27.59 | | | | | | | | | | | | | | | | | (25764) ~ (all_52_0 = e1)
% 176.74/27.59 | | | | | | | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | | | | | | | BETA: splitting (161) gives:
% 176.74/27.59 | | | | | | | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | | | | | | | Case 1:
% 176.74/27.59 | | | | | | | | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | | | | | | | | (25765) ~ (all_58_2 = e2)
% 176.74/27.59 | | | | | | | | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | | | | | | | | REDUCE: (478), (25765) imply:
% 176.74/27.59 | | | | | | | | | | | | | | | | | | (25766) ~ (all_52_2 = e2)
% 176.74/27.59 | | | | | | | | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (10), (13), (19), (49), (50),
% 176.74/27.59 | | | | | | | | | | | | | | | | | | (124), (150), (151), (164), (166), (168), (231),
% 176.74/27.59 | | | | | | | | | | | | | | | | | | (475), (478), (481), (484), (534), (536), (628),
% 176.74/27.59 | | | | | | | | | | | | | | | | | | (630), (632), (714), (731), (25128), (25570),
% 176.74/27.59 | | | | | | | | | | | | | | | | | | (25676), (25684), (25687), (25740), (25756),
% 176.74/27.59 | | | | | | | | | | | | | | | | | | (25764), (25766) are inconsistent by sub-proof
% 176.74/27.59 | | | | | | | | | | | | | | | | | | #58.
% 176.74/27.59 | | | | | | | | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | | | | | | | Case 2:
% 176.74/27.59 | | | | | | | | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | | | | | | | | (25767) all_58_2 = e2
% 176.74/27.59 | | | | | | | | | | | | | | | | | | (25768) all_58_1 = e1
% 176.74/27.59 | | | | | | | | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (481), (25768) imply:
% 176.74/27.59 | | | | | | | | | | | | | | | | | | (25769) all_52_1 = e1
% 176.74/27.59 | | | | | | | | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | | | | | | | | SIMP: (25769) implies:
% 176.74/27.59 | | | | | | | | | | | | | | | | | | (25770) all_52_1 = e1
% 176.74/27.59 | | | | | | | | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (478), (25767) imply:
% 176.74/27.59 | | | | | | | | | | | | | | | | | | (25771) all_52_2 = e2
% 176.74/27.59 | | | | | | | | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | | | | | | | | REDUCE: (731), (25770) imply:
% 176.74/27.59 | | | | | | | | | | | | | | | | | | (25772) op(e2, e1) = unit
% 176.74/27.59 | | | | | | | | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | | | | | | | | REDUCE: (748), (25771) imply:
% 176.74/27.59 | | | | | | | | | | | | | | | | | | (25773) op(e1, e2) = unit
% 176.74/27.59 | | | | | | | | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_6, unit, e2, e1,
% 176.74/27.59 | | | | | | | | | | | | | | | | | | simplifying with (229), (25773) gives:
% 176.74/27.59 | | | | | | | | | | | | | | | | | | (25774) all_61_6 = unit
% 176.74/27.59 | | | | | | | | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_9, unit, e1, e2,
% 176.74/27.59 | | | | | | | | | | | | | | | | | | simplifying with (232), (25772) gives:
% 176.74/27.59 | | | | | | | | | | | | | | | | | | (25775) all_61_9 = unit
% 176.74/27.59 | | | | | | | | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | | | | | | | | REDUCE: (25123), (25774) imply:
% 176.74/27.59 | | | | | | | | | | | | | | | | | | (25776) op(unit, e2) = all_4_1
% 176.74/27.59 | | | | | | | | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | | | | | | | | REDUCE: (672), (25774) imply:
% 176.74/27.59 | | | | | | | | | | | | | | | | | | (25777) op(unit, e1) = all_65_38
% 176.74/27.59 | | | | | | | | | | | | | | | | | |
% 176.74/27.59 | | | | | | | | | | | | | | | | | | REDUCE: (659), (25775) imply:
% 176.74/27.60 | | | | | | | | | | | | | | | | | | (25778) op(unit, e2) = all_65_25
% 176.74/27.60 | | | | | | | | | | | | | | | | | |
% 176.74/27.60 | | | | | | | | | | | | | | | | | | REDUCE: (25125), (25775) imply:
% 176.74/27.60 | | | | | | | | | | | | | | | | | | (25779) op(unit, e1) = all_6_1
% 176.74/27.60 | | | | | | | | | | | | | | | | | |
% 176.74/27.60 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e1, all_65_38, e1, unit,
% 176.74/27.60 | | | | | | | | | | | | | | | | | | simplifying with (8), (25777) gives:
% 176.74/27.60 | | | | | | | | | | | | | | | | | | (25780) all_65_38 = e1
% 176.74/27.60 | | | | | | | | | | | | | | | | | |
% 176.74/27.60 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_6_1, all_65_38, e1,
% 176.74/27.60 | | | | | | | | | | | | | | | | | | unit, simplifying with (25777), (25779) gives:
% 176.74/27.60 | | | | | | | | | | | | | | | | | | (25781) all_65_38 = all_6_1
% 176.74/27.60 | | | | | | | | | | | | | | | | | |
% 176.74/27.60 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e2, all_65_25, e2, unit,
% 176.74/27.60 | | | | | | | | | | | | | | | | | | simplifying with (9), (25778) gives:
% 176.74/27.60 | | | | | | | | | | | | | | | | | | (25782) all_65_25 = e2
% 176.74/27.60 | | | | | | | | | | | | | | | | | |
% 176.74/27.60 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_4_1, all_65_25, e2,
% 176.74/27.60 | | | | | | | | | | | | | | | | | | unit, simplifying with (25776), (25778) gives:
% 176.74/27.60 | | | | | | | | | | | | | | | | | | (25783) all_65_25 = all_4_1
% 176.74/27.60 | | | | | | | | | | | | | | | | | |
% 176.74/27.60 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (25782), (25783) imply:
% 176.74/27.60 | | | | | | | | | | | | | | | | | | (25784) all_4_1 = e2
% 176.74/27.60 | | | | | | | | | | | | | | | | | |
% 176.74/27.60 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (25780), (25781) imply:
% 176.74/27.60 | | | | | | | | | | | | | | | | | | (25785) all_6_1 = e1
% 176.74/27.60 | | | | | | | | | | | | | | | | | |
% 176.74/27.60 | | | | | | | | | | | | | | | | | | SIMP: (25785) implies:
% 176.74/27.60 | | | | | | | | | | | | | | | | | | (25786) all_6_1 = e1
% 176.74/27.60 | | | | | | | | | | | | | | | | | |
% 176.74/27.60 | | | | | | | | | | | | | | | | | | REF_CLOSE: (50), (21452), (25689), (25784), (25786) are
% 176.74/27.60 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #4.
% 176.74/27.60 | | | | | | | | | | | | | | | | | |
% 176.74/27.60 | | | | | | | | | | | | | | | | | End of split
% 176.74/27.60 | | | | | | | | | | | | | | | | |
% 176.74/27.60 | | | | | | | | | | | | | | | | Case 2:
% 176.74/27.60 | | | | | | | | | | | | | | | | |
% 176.74/27.60 | | | | | | | | | | | | | | | | | (25787) all_58_2 = e3
% 176.74/27.60 | | | | | | | | | | | | | | | | |
% 176.74/27.60 | | | | | | | | | | | | | | | | | REF_CLOSE: (478), (25762), (25787) are inconsistent by
% 176.74/27.60 | | | | | | | | | | | | | | | | | sub-proof #507.
% 176.74/27.60 | | | | | | | | | | | | | | | | |
% 176.74/27.60 | | | | | | | | | | | | | | | | End of split
% 176.74/27.60 | | | | | | | | | | | | | | | |
% 176.74/27.60 | | | | | | | | | | | | | | | Case 2:
% 176.74/27.60 | | | | | | | | | | | | | | | |
% 176.74/27.60 | | | | | | | | | | | | | | | | (25788) all_58_0 = e1
% 176.74/27.60 | | | | | | | | | | | | | | | |
% 176.74/27.60 | | | | | | | | | | | | | | | | REF_CLOSE: (8), (18), (50), (484), (714), (21521), (25685),
% 176.74/27.60 | | | | | | | | | | | | | | | | (25788) are inconsistent by sub-proof #40.
% 176.74/27.60 | | | | | | | | | | | | | | | |
% 176.74/27.60 | | | | | | | | | | | | | | | End of split
% 176.74/27.60 | | | | | | | | | | | | | | |
% 176.74/27.60 | | | | | | | | | | | | | | End of split
% 176.74/27.60 | | | | | | | | | | | | | |
% 176.74/27.60 | | | | | | | | | | | | | End of split
% 176.74/27.60 | | | | | | | | | | | | |
% 176.74/27.60 | | | | | | | | | | | | End of split
% 176.74/27.60 | | | | | | | | | | | |
% 176.74/27.60 | | | | | | | | | | | Case 2:
% 176.74/27.60 | | | | | | | | | | | |
% 176.74/27.60 | | | | | | | | | | | | (25789) all_42_2 = e1
% 176.74/27.60 | | | | | | | | | | | | (25790) op(e0, e1) = all_42_1 & $i(all_42_1) & ( ~
% 176.74/27.60 | | | | | | | | | | | | (all_42_1 = e3) | ( ~ (all_42_0 = e2) & op(e3,
% 176.74/27.60 | | | | | | | | | | | | e0) = all_42_0 & $i(all_42_0)))
% 176.74/27.60 | | | | | | | | | | | |
% 176.74/27.60 | | | | | | | | | | | | ALPHA: (25790) implies:
% 176.74/27.60 | | | | | | | | | | | | (25791) op(e0, e1) = all_42_1
% 176.74/27.60 | | | | | | | | | | | |
% 176.74/27.60 | | | | | | | | | | | | COMBINE_EQS: (532), (25789) imply:
% 176.74/27.60 | | | | | | | | | | | | (25792) all_20_2 = e1
% 176.74/27.60 | | | | | | | | | | | |
% 176.74/27.60 | | | | | | | | | | | | SIMP: (25792) implies:
% 176.74/27.60 | | | | | | | | | | | | (25793) all_20_2 = e1
% 176.74/27.60 | | | | | | | | | | | |
% 176.74/27.60 | | | | | | | | | | | | REDUCE: (695), (25793) imply:
% 176.74/27.60 | | | | | | | | | | | | (25794) op(e1, e2) = all_65_75
% 176.74/27.60 | | | | | | | | | | | |
% 176.74/27.60 | | | | | | | | | | | | REDUCE: (697), (25793) imply:
% 176.74/27.60 | | | | | | | | | | | | (25795) op(e1, e0) = all_65_78
% 176.74/27.60 | | | | | | | | | | | |
% 176.74/27.60 | | | | | | | | | | | | REDUCE: (25739), (25793) imply:
% 176.74/27.60 | | | | | | | | | | | | (25796) op(e3, e1) = all_65_73
% 176.74/27.60 | | | | | | | | | | | |
% 176.74/27.60 | | | | | | | | | | | | REDUCE: (25741), (25793) imply:
% 176.74/27.60 | | | | | | | | | | | | (25797) op(e2, e1) = all_65_75
% 176.74/27.60 | | | | | | | | | | | |
% 176.74/27.60 | | | | | | | | | | | | REDUCE: (25742), (25793) imply:
% 176.74/27.60 | | | | | | | | | | | | (25798) op(e1, e1) = all_65_77
% 176.74/27.60 | | | | | | | | | | | |
% 176.74/27.60 | | | | | | | | | | | | REDUCE: (764), (25793) imply:
% 176.74/27.60 | | | | | | | | | | | | (25799) op(e0, e1) = all_65_78
% 176.74/27.60 | | | | | | | | | | | |
% 176.74/27.60 | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_42_1, all_65_78, e1,
% 176.74/27.60 | | | | | | | | | | | | e0, simplifying with (25791), (25799) gives:
% 176.74/27.60 | | | | | | | | | | | | (25800) all_65_78 = all_42_1
% 176.74/27.60 | | | | | | | | | | | |
% 176.74/27.60 | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_14, all_65_78, e0,
% 176.74/27.60 | | | | | | | | | | | | e1, simplifying with (227), (25795) gives:
% 176.74/27.60 | | | | | | | | | | | | (25801) all_65_78 = all_61_14
% 176.74/27.60 | | | | | | | | | | | |
% 176.74/27.60 | | | | | | | | | | | | GROUND_INST: instantiating (50) with e3, all_65_77, e1, e1,
% 176.74/27.60 | | | | | | | | | | | | simplifying with (21466), (25798) gives:
% 176.74/27.60 | | | | | | | | | | | | (25802) all_65_77 = e3
% 176.74/27.60 | | | | | | | | | | | |
% 176.74/27.60 | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_6, all_65_75, e2,
% 176.74/27.60 | | | | | | | | | | | | e1, simplifying with (229), (25794) gives:
% 176.74/27.60 | | | | | | | | | | | | (25803) all_65_75 = all_61_6
% 176.74/27.60 | | | | | | | | | | | |
% 176.74/27.60 | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_9, all_65_75, e1,
% 176.74/27.60 | | | | | | | | | | | | e2, simplifying with (232), (25797) gives:
% 176.74/27.60 | | | | | | | | | | | | (25804) all_65_75 = all_61_9
% 176.74/27.60 | | | | | | | | | | | |
% 176.74/27.60 | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_4_1, all_65_73, e1,
% 176.74/27.60 | | | | | | | | | | | | e3, simplifying with (21521), (25796) gives:
% 176.74/27.60 | | | | | | | | | | | | (25805) all_65_73 = all_4_1
% 176.74/27.60 | | | | | | | | | | | |
% 176.74/27.60 | | | | | | | | | | | | COMBINE_EQS: (25803), (25804) imply:
% 176.74/27.60 | | | | | | | | | | | | (25806) all_61_6 = all_61_9
% 176.74/27.60 | | | | | | | | | | | |
% 176.74/27.60 | | | | | | | | | | | | SIMP: (25806) implies:
% 176.74/27.60 | | | | | | | | | | | | (25807) all_61_6 = all_61_9
% 176.74/27.60 | | | | | | | | | | | |
% 176.74/27.60 | | | | | | | | | | | | COMBINE_EQS: (25800), (25801) imply:
% 176.74/27.60 | | | | | | | | | | | | (25808) all_61_14 = all_42_1
% 176.74/27.60 | | | | | | | | | | | |
% 176.74/27.60 | | | | | | | | | | | | REDUCE: (25123), (25807) imply:
% 176.74/27.60 | | | | | | | | | | | | (25809) op(all_61_9, e2) = all_4_1
% 176.74/27.60 | | | | | | | | | | | |
% 176.74/27.60 | | | | | | | | | | | | REDUCE: (672), (25807) imply:
% 176.74/27.60 | | | | | | | | | | | | (25810) op(all_61_9, e1) = all_65_38
% 176.74/27.60 | | | | | | | | | | | |
% 176.74/27.60 | | | | | | | | | | | | REDUCE: (25738), (25802), (25808) imply:
% 176.74/27.60 | | | | | | | | | | | | (25811) op(all_42_1, e0) = e3
% 176.74/27.60 | | | | | | | | | | | |
% 176.74/27.60 | | | | | | | | | | | | REDUCE: (227), (25808) imply:
% 176.74/27.60 | | | | | | | | | | | | (25812) op(e1, e0) = all_42_1
% 176.74/27.60 | | | | | | | | | | | |
% 176.74/27.60 | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_6_1, all_65_38, e1,
% 176.74/27.60 | | | | | | | | | | | | all_61_9, simplifying with (25125), (25810) gives:
% 176.74/27.60 | | | | | | | | | | | | (25813) all_65_38 = all_6_1
% 176.74/27.60 | | | | | | | | | | | |
% 176.74/27.60 | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_25, all_4_1, e2,
% 176.74/27.60 | | | | | | | | | | | | all_61_9, simplifying with (659), (25809) gives:
% 176.74/27.60 | | | | | | | | | | | | (25814) all_65_25 = all_4_1
% 176.74/27.60 | | | | | | | | | | | |
% 176.74/27.60 | | | | | | | | | | | | BETA: splitting (157) gives:
% 176.74/27.60 | | | | | | | | | | | |
% 176.74/27.60 | | | | | | | | | | | | Case 1:
% 176.74/27.60 | | | | | | | | | | | | |
% 176.74/27.60 | | | | | | | | | | | | | (25815) ~ (all_58_3 = e1)
% 176.74/27.60 | | | | | | | | | | | | |
% 176.74/27.60 | | | | | | | | | | | | | REDUCE: (475), (25815) imply:
% 176.74/27.60 | | | | | | | | | | | | | (25816) ~ (all_52_3 = e1)
% 176.74/27.60 | | | | | | | | | | | | |
% 176.74/27.60 | | | | | | | | | | | | | REF_CLOSE: (8), (9), (18), (50), (149), (160), (161), (162),
% 176.74/27.60 | | | | | | | | | | | | | (232), (475), (478), (481), (484), (538), (714),
% 176.74/27.60 | | | | | | | | | | | | | (731), (748), (21452), (21466), (21521), (25125),
% 176.74/27.60 | | | | | | | | | | | | | (25570), (25685), (25689), (25809), (25816) are
% 176.74/27.60 | | | | | | | | | | | | | inconsistent by sub-proof #3.
% 176.74/27.60 | | | | | | | | | | | | |
% 176.74/27.60 | | | | | | | | | | | | Case 2:
% 176.74/27.60 | | | | | | | | | | | | |
% 176.74/27.60 | | | | | | | | | | | | | (25817) all_58_2 = e0
% 176.74/27.60 | | | | | | | | | | | | |
% 176.74/27.60 | | | | | | | | | | | | | REF_CLOSE: (7), (21), (50), (478), (748), (25811), (25812),
% 176.74/27.60 | | | | | | | | | | | | | (25817) are inconsistent by sub-proof #37.
% 176.74/27.60 | | | | | | | | | | | | |
% 176.74/27.60 | | | | | | | | | | | | End of split
% 176.74/27.60 | | | | | | | | | | | |
% 176.74/27.60 | | | | | | | | | | | End of split
% 176.74/27.60 | | | | | | | | | | |
% 176.74/27.60 | | | | | | | | | | End of split
% 176.74/27.60 | | | | | | | | | |
% 176.74/27.60 | | | | | | | | | End of split
% 176.74/27.60 | | | | | | | | |
% 176.74/27.60 | | | | | | | | Case 2:
% 176.74/27.60 | | | | | | | | |
% 176.74/27.60 | | | | | | | | | (25818) all_28_2 = e3
% 176.74/27.60 | | | | | | | | | (25819) op(e0, e3) = all_28_1 & $i(all_28_1) & ( ~
% 176.74/27.60 | | | | | | | | | (all_28_1 = e2) | ( ~ (all_28_0 = e1) & op(e2,
% 176.74/27.60 | | | | | | | | | e0) = all_28_0 & $i(all_28_0)))
% 176.74/27.60 | | | | | | | | |
% 176.74/27.60 | | | | | | | | | ALPHA: (25819) implies:
% 176.74/27.60 | | | | | | | | | (25820) op(e0, e3) = all_28_1
% 176.74/27.60 | | | | | | | | |
% 176.74/27.60 | | | | | | | | | COMBINE_EQS: (563), (25818) imply:
% 176.74/27.60 | | | | | | | | | (25821) all_20_2 = e3
% 176.74/27.60 | | | | | | | | |
% 176.74/27.60 | | | | | | | | | SIMP: (25821) implies:
% 176.74/27.60 | | | | | | | | | (25822) all_20_2 = e3
% 176.74/27.60 | | | | | | | | |
% 176.74/27.60 | | | | | | | | | COMBINE_EQS: (555), (25822) imply:
% 176.74/27.60 | | | | | | | | | (25823) all_34_2 = e3
% 176.74/27.60 | | | | | | | | |
% 176.74/27.60 | | | | | | | | | REDUCE: (625), (25822) imply:
% 176.74/27.60 | | | | | | | | | (25824) ~ (all_61_12 = e3)
% 176.74/27.60 | | | | | | | | |
% 176.74/27.60 | | | | | | | | | REDUCE: (694), (25822) imply:
% 176.74/27.60 | | | | | | | | | (25825) op(e3, e3) = all_65_73
% 176.74/27.60 | | | | | | | | |
% 176.74/27.60 | | | | | | | | | REDUCE: (695), (25822) imply:
% 176.74/27.60 | | | | | | | | | (25826) op(e3, e2) = all_65_75
% 176.74/27.60 | | | | | | | | |
% 176.74/27.60 | | | | | | | | | REDUCE: (696), (25822) imply:
% 176.74/27.60 | | | | | | | | | (25827) op(e3, e1) = all_65_77
% 176.74/27.60 | | | | | | | | |
% 176.74/27.60 | | | | | | | | | REDUCE: (697), (25822) imply:
% 176.74/27.60 | | | | | | | | | (25828) op(e3, e0) = all_65_78
% 176.74/27.60 | | | | | | | | |
% 176.74/27.60 | | | | | | | | | REDUCE: (713), (25822) imply:
% 176.74/27.60 | | | | | | | | | (25829) op(e3, e3) = all_65_15
% 176.74/27.60 | | | | | | | | |
% 176.74/27.60 | | | | | | | | | REDUCE: (730), (25822) imply:
% 176.74/27.60 | | | | | | | | | (25830) op(e2, e3) = all_65_31
% 176.74/27.60 | | | | | | | | |
% 176.74/27.60 | | | | | | | | | REDUCE: (764), (25822) imply:
% 176.74/27.60 | | | | | | | | | (25831) op(e0, e3) = all_65_78
% 176.74/27.60 | | | | | | | | |
% 176.74/27.60 | | | | | | | | | REDUCE: (76), (25822) imply:
% 176.74/27.60 | | | | | | | | | (25832) op(e0, e0) = e3
% 176.74/27.60 | | | | | | | | |
% 176.74/27.60 | | | | | | | | | BETA: splitting (98) gives:
% 176.74/27.60 | | | | | | | | |
% 176.74/27.60 | | | | | | | | | Case 1:
% 176.74/27.60 | | | | | | | | | |
% 176.74/27.60 | | | | | | | | | | (25833) ~ (all_34_2 = e3)
% 176.74/27.60 | | | | | | | | | |
% 176.74/27.60 | | | | | | | | | | REDUCE: (25823), (25833) imply:
% 176.74/27.60 | | | | | | | | | | (25834) $false
% 176.74/27.60 | | | | | | | | | |
% 176.74/27.60 | | | | | | | | | | CLOSE: (25834) is inconsistent.
% 176.74/27.60 | | | | | | | | | |
% 176.74/27.60 | | | | | | | | | Case 2:
% 176.74/27.60 | | | | | | | | | |
% 176.74/27.60 | | | | | | | | | | (25835) op(e0, e3) = all_34_1 & $i(all_34_1) & ( ~
% 176.74/27.60 | | | | | | | | | | (all_34_1 = e1) | ( ~ (all_34_0 = e2) & op(e1,
% 176.74/27.60 | | | | | | | | | | e0) = all_34_0 & $i(all_34_0)))
% 176.74/27.60 | | | | | | | | | |
% 176.74/27.60 | | | | | | | | | | ALPHA: (25835) implies:
% 176.74/27.60 | | | | | | | | | | (25836) op(e0, e3) = all_34_1
% 176.74/27.60 | | | | | | | | | |
% 176.74/27.60 | | | | | | | | | | BETA: splitting (173) gives:
% 176.74/27.60 | | | | | | | | | |
% 176.74/27.60 | | | | | | | | | | Case 1:
% 176.74/27.60 | | | | | | | | | | |
% 176.74/27.60 | | | | | | | | | | | (25837) ( ~ (all_60_0 = e3) & op(e3, e3) = all_60_0 &
% 176.74/27.60 | | | | | | | | | | | $i(all_60_0)) | ( ~ (all_60_1 = e3) & op(e2, e2)
% 176.74/27.60 | | | | | | | | | | | = all_60_1 & $i(all_60_1))
% 176.74/27.60 | | | | | | | | | | |
% 176.74/27.60 | | | | | | | | | | | BETA: splitting (25837) gives:
% 176.74/27.60 | | | | | | | | | | |
% 176.74/27.60 | | | | | | | | | | | Case 1:
% 176.74/27.60 | | | | | | | | | | | |
% 176.74/27.60 | | | | | | | | | | | | (25838) ~ (all_60_0 = e3) & op(e3, e3) = all_60_0 &
% 176.74/27.60 | | | | | | | | | | | | $i(all_60_0)
% 176.74/27.60 | | | | | | | | | | | |
% 176.74/27.60 | | | | | | | | | | | | ALPHA: (25838) implies:
% 176.74/27.60 | | | | | | | | | | | | (25839) ~ (all_60_0 = e3)
% 176.74/27.60 | | | | | | | | | | | | (25840) op(e3, e3) = all_60_0
% 176.74/27.60 | | | | | | | | | | | |
% 176.74/27.60 | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_3, all_65_78, e3,
% 176.74/27.60 | | | | | | | | | | | | e0, simplifying with (226), (25831) gives:
% 176.74/27.60 | | | | | | | | | | | | (25841) all_65_78 = all_61_3
% 176.74/27.60 | | | | | | | | | | | |
% 176.74/27.60 | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_34_1, all_65_78, e3,
% 176.74/27.60 | | | | | | | | | | | | e0, simplifying with (25831), (25836) gives:
% 176.74/27.60 | | | | | | | | | | | | (25842) all_65_78 = all_34_1
% 176.74/27.60 | | | | | | | | | | | |
% 176.74/27.60 | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_28_1, all_65_78, e3,
% 176.74/27.60 | | | | | | | | | | | | e0, simplifying with (25820), (25831) gives:
% 176.74/27.60 | | | | | | | | | | | | (25843) all_65_78 = all_28_1
% 176.74/27.60 | | | | | | | | | | | |
% 176.74/27.60 | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_6_1, all_65_31, e3,
% 176.74/27.60 | | | | | | | | | | | | e2, simplifying with (25068), (25830) gives:
% 176.74/27.60 | | | | | | | | | | | | (25844) all_65_31 = all_6_1
% 176.74/27.60 | | | | | | | | | | | |
% 176.74/27.60 | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_12, all_65_78, e0,
% 176.74/27.60 | | | | | | | | | | | | e3, simplifying with (235), (25828) gives:
% 176.74/27.60 | | | | | | | | | | | | (25845) all_65_78 = all_61_12
% 176.74/27.60 | | | | | | | | | | | |
% 176.74/27.60 | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_4_1, all_65_77, e1,
% 176.74/27.60 | | | | | | | | | | | | e3, simplifying with (21521), (25827) gives:
% 176.74/27.60 | | | | | | | | | | | | (25846) all_65_77 = all_4_1
% 176.74/27.60 | | | | | | | | | | | |
% 176.74/27.60 | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_6_1, all_65_75, e2,
% 176.74/27.60 | | | | | | | | | | | | e3, simplifying with (25128), (25826) gives:
% 176.74/27.60 | | | | | | | | | | | | (25847) all_65_75 = all_6_1
% 176.74/27.60 | | | | | | | | | | | |
% 176.74/27.60 | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_14_2, all_65_73, e3,
% 176.74/27.60 | | | | | | | | | | | | e3, simplifying with (67), (25825) gives:
% 176.74/27.60 | | | | | | | | | | | | (25848) all_65_73 = all_14_2
% 176.74/27.60 | | | | | | | | | | | |
% 176.74/27.60 | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_73, all_65_15, e3,
% 176.74/27.60 | | | | | | | | | | | | e3, simplifying with (25825), (25829) gives:
% 176.74/27.60 | | | | | | | | | | | | (25849) all_65_15 = all_65_73
% 176.74/27.60 | | | | | | | | | | | |
% 176.74/27.60 | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_60_0, all_65_15, e3,
% 176.74/27.60 | | | | | | | | | | | | e3, simplifying with (25829), (25840) gives:
% 176.74/27.60 | | | | | | | | | | | | (25850) all_65_15 = all_60_0
% 176.74/27.60 | | | | | | | | | | | |
% 176.74/27.60 | | | | | | | | | | | | COMBINE_EQS: (25849), (25850) imply:
% 176.74/27.60 | | | | | | | | | | | | (25851) all_65_73 = all_60_0
% 176.74/27.60 | | | | | | | | | | | |
% 176.74/27.60 | | | | | | | | | | | | SIMP: (25851) implies:
% 176.74/27.60 | | | | | | | | | | | | (25852) all_65_73 = all_60_0
% 176.74/27.60 | | | | | | | | | | | |
% 176.74/27.60 | | | | | | | | | | | | COMBINE_EQS: (25848), (25852) imply:
% 176.74/27.60 | | | | | | | | | | | | (25853) all_60_0 = all_14_2
% 176.74/27.60 | | | | | | | | | | | |
% 176.74/27.60 | | | | | | | | | | | | COMBINE_EQS: (25841), (25845) imply:
% 176.74/27.60 | | | | | | | | | | | | (25854) all_61_3 = all_61_12
% 176.74/27.60 | | | | | | | | | | | |
% 176.74/27.60 | | | | | | | | | | | | COMBINE_EQS: (25841), (25843) imply:
% 176.74/27.60 | | | | | | | | | | | | (25855) all_61_3 = all_28_1
% 176.74/27.60 | | | | | | | | | | | |
% 176.74/27.60 | | | | | | | | | | | | COMBINE_EQS: (25841), (25842) imply:
% 176.74/27.60 | | | | | | | | | | | | (25856) all_61_3 = all_34_1
% 176.74/27.60 | | | | | | | | | | | |
% 176.74/27.60 | | | | | | | | | | | | COMBINE_EQS: (25854), (25856) imply:
% 176.74/27.60 | | | | | | | | | | | | (25857) all_61_12 = all_34_1
% 176.74/27.60 | | | | | | | | | | | |
% 176.74/27.60 | | | | | | | | | | | | SIMP: (25857) implies:
% 176.74/27.60 | | | | | | | | | | | | (25858) all_61_12 = all_34_1
% 176.74/27.60 | | | | | | | | | | | |
% 176.74/27.60 | | | | | | | | | | | | COMBINE_EQS: (25855), (25856) imply:
% 176.74/27.60 | | | | | | | | | | | | (25859) all_34_1 = all_28_1
% 176.74/27.60 | | | | | | | | | | | |
% 176.74/27.60 | | | | | | | | | | | | COMBINE_EQS: (25858), (25859) imply:
% 176.74/27.60 | | | | | | | | | | | | (25860) all_61_12 = all_28_1
% 176.74/27.60 | | | | | | | | | | | |
% 176.74/27.60 | | | | | | | | | | | | COMBINE_EQS: (491), (25860) imply:
% 176.74/27.60 | | | | | | | | | | | | (25861) all_63_3 = all_28_1
% 176.74/27.60 | | | | | | | | | | | |
% 176.74/27.60 | | | | | | | | | | | | REDUCE: (180), (25860) imply:
% 176.74/27.60 | | | | | | | | | | | | (25862) ~ (all_61_13 = all_28_1)
% 176.74/27.60 | | | | | | | | | | | |
% 176.74/27.60 | | | | | | | | | | | | SIMP: (25862) implies:
% 176.74/27.60 | | | | | | | | | | | | (25863) ~ (all_61_13 = all_28_1)
% 176.74/27.60 | | | | | | | | | | | |
% 176.74/27.60 | | | | | | | | | | | | REDUCE: (603), (25860) imply:
% 176.74/27.60 | | | | | | | | | | | | (25864) ~ (all_28_1 = all_14_2)
% 176.74/27.60 | | | | | | | | | | | |
% 176.74/27.60 | | | | | | | | | | | | REDUCE: (25111), (25860) imply:
% 176.74/27.60 | | | | | | | | | | | | (25865) ~ (all_28_1 = all_6_1)
% 176.74/27.60 | | | | | | | | | | | |
% 176.74/27.60 | | | | | | | | | | | | REDUCE: (21505), (25860) imply:
% 176.74/27.60 | | | | | | | | | | | | (25866) ~ (all_28_1 = all_4_1)
% 176.74/27.60 | | | | | | | | | | | |
% 176.74/27.60 | | | | | | | | | | | | REDUCE: (25824), (25860) imply:
% 176.74/27.60 | | | | | | | | | | | | (25867) ~ (all_28_1 = e3)
% 176.74/27.60 | | | | | | | | | | | |
% 176.74/27.60 | | | | | | | | | | | | REDUCE: (25839), (25853) imply:
% 176.74/27.60 | | | | | | | | | | | | (25868) ~ (all_14_2 = e3)
% 176.74/27.60 | | | | | | | | | | | |
% 176.74/27.60 | | | | | | | | | | | | REDUCE: (682), (25855) imply:
% 176.74/27.60 | | | | | | | | | | | | (25869) op(all_28_1, e3) = all_65_49
% 176.74/27.60 | | | | | | | | | | | |
% 176.74/27.60 | | | | | | | | | | | | REDUCE: (25124), (25855) imply:
% 176.74/27.60 | | | | | | | | | | | | (25870) op(all_61_7, e2) = all_28_1
% 176.74/27.60 | | | | | | | | | | | |
% 176.74/27.60 | | | | | | | | | | | | REDUCE: (21518), (25855) imply:
% 176.74/27.60 | | | | | | | | | | | | (25871) op(all_61_11, e1) = all_28_1
% 176.74/27.60 | | | | | | | | | | | |
% 176.74/27.60 | | | | | | | | | | | | REDUCE: (646), (25860) imply:
% 176.74/27.60 | | | | | | | | | | | | (25872) op(all_28_1, e3) = all_65_12
% 176.74/27.60 | | | | | | | | | | | |
% 176.74/27.60 | | | | | | | | | | | | REDUCE: (665), (25844) imply:
% 176.74/27.60 | | | | | | | | | | | | (25873) op(all_61_13, e0) = all_6_1
% 176.74/27.60 | | | | | | | | | | | |
% 176.74/27.60 | | | | | | | | | | | | REDUCE: (710), (25855) imply:
% 176.74/27.60 | | | | | | | | | | | | (25874) op(e3, all_28_1) = all_65_12
% 176.74/27.60 | | | | | | | | | | | |
% 176.74/27.60 | | | | | | | | | | | | REDUCE: (701), (25860) imply:
% 176.74/27.60 | | | | | | | | | | | | (25875) op(e3, all_28_1) = all_65_3
% 176.74/27.60 | | | | | | | | | | | |
% 176.74/27.60 | | | | | | | | | | | | REDUCE: (744), (25855) imply:
% 176.74/27.60 | | | | | | | | | | | | (25876) op(e1, all_28_1) = all_65_44
% 176.74/27.60 | | | | | | | | | | | |
% 176.74/27.60 | | | | | | | | | | | | REDUCE: (735), (25860) imply:
% 176.74/27.60 | | | | | | | | | | | | (25877) op(e1, all_28_1) = all_65_35
% 176.74/27.60 | | | | | | | | | | | |
% 176.74/27.60 | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_44, all_65_35,
% 176.74/27.60 | | | | | | | | | | | | all_28_1, e1, simplifying with (25876), (25877)
% 176.74/27.60 | | | | | | | | | | | | gives:
% 176.74/27.60 | | | | | | | | | | | | (25878) all_65_35 = all_65_44
% 176.74/27.60 | | | | | | | | | | | |
% 176.74/27.60 | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_12, all_65_3,
% 176.74/27.60 | | | | | | | | | | | | all_28_1, e3, simplifying with (25874), (25875)
% 176.74/27.60 | | | | | | | | | | | | gives:
% 176.74/27.60 | | | | | | | | | | | | (25879) all_65_3 = all_65_12
% 176.74/27.60 | | | | | | | | | | | |
% 176.74/27.60 | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_49, all_65_12, e3,
% 176.74/27.60 | | | | | | | | | | | | all_28_1, simplifying with (25869), (25872) gives:
% 176.74/27.60 | | | | | | | | | | | | (25880) all_65_12 = all_65_49
% 176.74/27.60 | | | | | | | | | | | |
% 176.74/27.60 | | | | | | | | | | | | COMBINE_EQS: (25879), (25880) imply:
% 176.74/27.60 | | | | | | | | | | | | (25881) all_65_3 = all_65_49
% 176.74/27.60 | | | | | | | | | | | |
% 176.74/27.60 | | | | | | | | | | | | REDUCE: (637), (25881) imply:
% 176.74/27.60 | | | | | | | | | | | | (25882) op(all_14_2, e0) = all_65_49
% 176.74/27.60 | | | | | | | | | | | |
% 176.74/27.60 | | | | | | | | | | | | REDUCE: (21512), (25878) imply:
% 176.74/27.60 | | | | | | | | | | | | (25883) op(all_4_1, e0) = all_65_44
% 176.74/27.60 | | | | | | | | | | | |
% 176.74/27.60 | | | | | | | | | | | | BETA: splitting (101) gives:
% 176.74/27.60 | | | | | | | | | | | |
% 176.74/27.60 | | | | | | | | | | | | Case 1:
% 176.74/27.60 | | | | | | | | | | | | |
% 176.74/27.60 | | | | | | | | | | | | | (25884) ~ (all_36_2 = e0)
% 176.74/27.60 | | | | | | | | | | | | |
% 176.74/27.60 | | | | | | | | | | | | | REDUCE: (557), (25884) imply:
% 176.74/27.60 | | | | | | | | | | | | | (25885) ~ (all_14_2 = e0)
% 176.74/27.60 | | | | | | | | | | | | |
% 176.74/27.60 | | | | | | | | | | | | | BETA: splitting (271) gives:
% 176.74/27.60 | | | | | | | | | | | | |
% 176.74/27.60 | | | | | | | | | | | | | Case 1:
% 176.74/27.60 | | | | | | | | | | | | | |
% 176.74/27.60 | | | | | | | | | | | | | | (25886) all_63_0 = e3
% 176.74/27.60 | | | | | | | | | | | | | |
% 176.74/27.60 | | | | | | | | | | | | | | COMBINE_EQS: (588), (25886) imply:
% 176.74/27.60 | | | | | | | | | | | | | | (25887) all_14_2 = e3
% 176.74/27.60 | | | | | | | | | | | | | |
% 176.74/27.60 | | | | | | | | | | | | | | REDUCE: (25868), (25887) imply:
% 176.74/27.60 | | | | | | | | | | | | | | (25888) $false
% 176.74/27.60 | | | | | | | | | | | | | |
% 176.74/27.60 | | | | | | | | | | | | | | CLOSE: (25888) is inconsistent.
% 176.74/27.60 | | | | | | | | | | | | | |
% 176.74/27.60 | | | | | | | | | | | | | Case 2:
% 176.74/27.60 | | | | | | | | | | | | | |
% 176.74/27.60 | | | | | | | | | | | | | | (25889) all_63_0 = e2 | all_63_0 = e1 | all_63_0 = e0
% 176.74/27.60 | | | | | | | | | | | | | |
% 176.74/27.60 | | | | | | | | | | | | | | BETA: splitting (25889) gives:
% 176.74/27.60 | | | | | | | | | | | | | |
% 176.74/27.60 | | | | | | | | | | | | | | Case 1:
% 176.74/27.60 | | | | | | | | | | | | | | |
% 176.74/27.60 | | | | | | | | | | | | | | | (25890) all_63_0 = e2
% 176.74/27.60 | | | | | | | | | | | | | | |
% 176.74/27.60 | | | | | | | | | | | | | | | COMBINE_EQS: (588), (25890) imply:
% 176.74/27.60 | | | | | | | | | | | | | | | (25891) all_14_2 = e2
% 176.74/27.60 | | | | | | | | | | | | | | |
% 176.74/27.60 | | | | | | | | | | | | | | | REDUCE: (25572), (25891) imply:
% 176.74/27.60 | | | | | | | | | | | | | | | (25892) $false
% 176.74/27.60 | | | | | | | | | | | | | | |
% 176.74/27.60 | | | | | | | | | | | | | | | CLOSE: (25892) is inconsistent.
% 176.74/27.60 | | | | | | | | | | | | | | |
% 176.74/27.60 | | | | | | | | | | | | | | Case 2:
% 176.74/27.60 | | | | | | | | | | | | | | |
% 176.74/27.60 | | | | | | | | | | | | | | | (25893) ~ (all_63_0 = e2)
% 176.74/27.60 | | | | | | | | | | | | | | | (25894) all_63_0 = e1 | all_63_0 = e0
% 176.74/27.60 | | | | | | | | | | | | | | |
% 176.74/27.60 | | | | | | | | | | | | | | | BETA: splitting (25894) gives:
% 176.74/27.60 | | | | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | | | | Case 1:
% 176.74/27.61 | | | | | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | | | | | (25895) all_63_0 = e1
% 176.74/27.61 | | | | | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | | | | | COMBINE_EQS: (588), (25895) imply:
% 176.74/27.61 | | | | | | | | | | | | | | | | (25896) all_14_2 = e1
% 176.74/27.61 | | | | | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | | | | | COMBINE_EQS: (553), (25896) imply:
% 176.74/27.61 | | | | | | | | | | | | | | | | (25897) all_40_2 = e1
% 176.74/27.61 | | | | | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | | | | | COMBINE_EQS: (466), (25896) imply:
% 176.74/27.61 | | | | | | | | | | | | | | | | (25898) all_48_2 = e1
% 176.74/27.61 | | | | | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | | | | | REDUCE: (25864), (25896) imply:
% 176.74/27.61 | | | | | | | | | | | | | | | | (25899) ~ (all_28_1 = e1)
% 176.74/27.61 | | | | | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | | | | | REDUCE: (25113), (25896) imply:
% 176.74/27.61 | | | | | | | | | | | | | | | | (25900) ~ (all_6_1 = e1)
% 176.74/27.61 | | | | | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | | | | | SIMP: (25900) implies:
% 176.74/27.61 | | | | | | | | | | | | | | | | (25901) ~ (all_6_1 = e1)
% 176.74/27.61 | | | | | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | | | | | REDUCE: (21507), (25896) imply:
% 176.74/27.61 | | | | | | | | | | | | | | | | (25902) ~ (all_4_1 = e1)
% 176.74/27.61 | | | | | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | | | | | SIMP: (25902) implies:
% 176.74/27.61 | | | | | | | | | | | | | | | | (25903) ~ (all_4_1 = e1)
% 176.74/27.61 | | | | | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | | | | | REDUCE: (25572), (25896) imply:
% 176.74/27.61 | | | | | | | | | | | | | | | | (25904) ~ (e2 = e1)
% 176.74/27.61 | | | | | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | | | | | REDUCE: (25140), (25896) imply:
% 176.74/27.61 | | | | | | | | | | | | | | | | (25905) op(e1, e2) = all_65_16
% 176.74/27.61 | | | | | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | | | | | REDUCE: (25882), (25896) imply:
% 176.74/27.61 | | | | | | | | | | | | | | | | (25906) op(e1, e0) = all_65_49
% 176.74/27.61 | | | | | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | | | | | REDUCE: (25120), (25896) imply:
% 176.74/27.61 | | | | | | | | | | | | | | | | (25907) op(all_6_1, e2) = e1
% 176.74/27.61 | | | | | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | | | | | REDUCE: (698), (25896) imply:
% 176.74/27.61 | | | | | | | | | | | | | | | | (25908) op(e3, e1) = all_65_0
% 176.74/27.61 | | | | | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | | | | | REDUCE: (715), (25896) imply:
% 176.74/27.61 | | | | | | | | | | | | | | | | (25909) op(e2, e1) = all_65_16
% 176.74/27.61 | | | | | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | | | | | REDUCE: (732), (25896) imply:
% 176.74/27.61 | | | | | | | | | | | | | | | | (25910) op(e1, e1) = all_65_32
% 176.74/27.61 | | | | | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | | | | | REDUCE: (749), (25896) imply:
% 176.74/27.61 | | | | | | | | | | | | | | | | (25911) op(e0, e1) = all_65_49
% 176.74/27.61 | | | | | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | | | | | BETA: splitting (107) gives:
% 176.74/27.61 | | | | | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | | | | | Case 1:
% 176.74/27.61 | | | | | | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | | | | | | (25912) ~ (all_40_2 = e1)
% 176.74/27.61 | | | | | | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | | | | | | REDUCE: (25897), (25912) imply:
% 176.74/27.61 | | | | | | | | | | | | | | | | | (25913) $false
% 176.74/27.61 | | | | | | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | | | | | | CLOSE: (25913) is inconsistent.
% 176.74/27.61 | | | | | | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | | | | | Case 2:
% 176.74/27.61 | | | | | | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | | | | | | (25914) op(e3, e1) = all_40_1 & $i(all_40_1) & ( ~
% 176.74/27.61 | | | | | | | | | | | | | | | | | (all_40_1 = e0) | ( ~ (all_40_0 = e2) & op(e0,
% 176.74/27.61 | | | | | | | | | | | | | | | | | e3) = all_40_0 & $i(all_40_0)))
% 176.74/27.61 | | | | | | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | | | | | | ALPHA: (25914) implies:
% 176.74/27.61 | | | | | | | | | | | | | | | | | (25915) op(e3, e1) = all_40_1
% 176.74/27.61 | | | | | | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | | | | | | BETA: splitting (119) gives:
% 176.74/27.61 | | | | | | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | | | | | | Case 1:
% 176.74/27.61 | | | | | | | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | | | | | | | (25916) ~ (all_48_2 = e1)
% 176.74/27.61 | | | | | | | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | | | | | | | REDUCE: (25898), (25916) imply:
% 176.74/27.61 | | | | | | | | | | | | | | | | | | (25917) $false
% 176.74/27.61 | | | | | | | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | | | | | | | CLOSE: (25917) is inconsistent.
% 176.74/27.61 | | | | | | | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | | | | | | Case 2:
% 176.74/27.61 | | | | | | | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | | | | | | | (25918) op(e3, e1) = all_48_1 & $i(all_48_1) & ( ~
% 176.74/27.61 | | | | | | | | | | | | | | | | | | (all_48_1 = e2) | ( ~ (all_48_0 = e0) & op(e2,
% 176.74/27.61 | | | | | | | | | | | | | | | | | | e3) = all_48_0 & $i(all_48_0)))
% 176.74/27.61 | | | | | | | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | | | | | | | ALPHA: (25918) implies:
% 176.74/27.61 | | | | | | | | | | | | | | | | | | (25919) op(e3, e1) = all_48_1
% 176.74/27.61 | | | | | | | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_11, all_65_49, e1,
% 176.74/27.61 | | | | | | | | | | | | | | | | | | e0, simplifying with (224), (25911) gives:
% 176.74/27.61 | | | | | | | | | | | | | | | | | | (25920) all_65_49 = all_61_11
% 176.74/27.61 | | | | | | | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_14, all_65_49, e0,
% 176.74/27.61 | | | | | | | | | | | | | | | | | | e1, simplifying with (227), (25906) gives:
% 176.74/27.61 | | | | | | | | | | | | | | | | | | (25921) all_65_49 = all_61_14
% 176.74/27.61 | | | | | | | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e3, all_65_32, e1, e1,
% 176.74/27.61 | | | | | | | | | | | | | | | | | | simplifying with (21466), (25910) gives:
% 176.74/27.61 | | | | | | | | | | | | | | | | | | (25922) all_65_32 = e3
% 176.74/27.61 | | | | | | | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_6, all_65_16, e2,
% 176.74/27.61 | | | | | | | | | | | | | | | | | | e1, simplifying with (229), (25905) gives:
% 176.74/27.61 | | | | | | | | | | | | | | | | | | (25923) all_65_16 = all_61_6
% 176.74/27.61 | | | | | | | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_9, all_65_16, e1,
% 176.74/27.61 | | | | | | | | | | | | | | | | | | e2, simplifying with (232), (25909) gives:
% 176.74/27.61 | | | | | | | | | | | | | | | | | | (25924) all_65_16 = all_61_9
% 176.74/27.61 | | | | | | | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_4_1, all_48_1, e1, e3,
% 176.74/27.61 | | | | | | | | | | | | | | | | | | simplifying with (21521), (25919) gives:
% 176.74/27.61 | | | | | | | | | | | | | | | | | | (25925) all_48_1 = all_4_1
% 176.74/27.61 | | | | | | | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_48_1, all_65_0, e1,
% 176.74/27.61 | | | | | | | | | | | | | | | | | | e3, simplifying with (25908), (25919) gives:
% 176.74/27.61 | | | | | | | | | | | | | | | | | | (25926) all_65_0 = all_48_1
% 176.74/27.61 | | | | | | | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_40_1, all_65_0, e1,
% 176.74/27.61 | | | | | | | | | | | | | | | | | | e3, simplifying with (25908), (25915) gives:
% 176.74/27.61 | | | | | | | | | | | | | | | | | | (25927) all_65_0 = all_40_1
% 176.74/27.61 | | | | | | | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (25926), (25927) imply:
% 176.74/27.61 | | | | | | | | | | | | | | | | | | (25928) all_48_1 = all_40_1
% 176.74/27.61 | | | | | | | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | | | | | | | SIMP: (25928) implies:
% 176.74/27.61 | | | | | | | | | | | | | | | | | | (25929) all_48_1 = all_40_1
% 176.74/27.61 | | | | | | | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (25923), (25924) imply:
% 176.74/27.61 | | | | | | | | | | | | | | | | | | (25930) all_61_6 = all_61_9
% 176.74/27.61 | | | | | | | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | | | | | | | SIMP: (25930) implies:
% 176.74/27.61 | | | | | | | | | | | | | | | | | | (25931) all_61_6 = all_61_9
% 176.74/27.61 | | | | | | | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (25920), (25921) imply:
% 176.74/27.61 | | | | | | | | | | | | | | | | | | (25932) all_61_11 = all_61_14
% 176.74/27.61 | | | | | | | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | | | | | | | SIMP: (25932) implies:
% 176.74/27.61 | | | | | | | | | | | | | | | | | | (25933) all_61_11 = all_61_14
% 176.74/27.61 | | | | | | | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (25925), (25929) imply:
% 176.74/27.61 | | | | | | | | | | | | | | | | | | (25934) all_40_1 = all_4_1
% 176.74/27.61 | | | | | | | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | | | | | | | SIMP: (25934) implies:
% 176.74/27.61 | | | | | | | | | | | | | | | | | | (25935) all_40_1 = all_4_1
% 176.74/27.61 | | | | | | | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | | | | | | | REDUCE: (672), (25931) imply:
% 176.74/27.61 | | | | | | | | | | | | | | | | | | (25936) op(all_61_9, e1) = all_65_38
% 176.74/27.61 | | | | | | | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | | | | | | | REDUCE: (690), (25933) imply:
% 176.74/27.61 | | | | | | | | | | | | | | | | | | (25937) op(all_61_14, e3) = all_65_65
% 176.74/27.61 | | | | | | | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | | | | | | | REDUCE: (25871), (25933) imply:
% 176.74/27.61 | | | | | | | | | | | | | | | | | | (25938) op(all_61_14, e1) = all_28_1
% 176.74/27.61 | | | | | | | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_46, all_28_1, e1,
% 176.74/27.61 | | | | | | | | | | | | | | | | | | all_61_14, simplifying with (680), (25938) gives:
% 176.74/27.61 | | | | | | | | | | | | | | | | | | (25939) all_65_46 = all_28_1
% 176.74/27.61 | | | | | | | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_44, all_65_65, e3,
% 176.74/27.61 | | | | | | | | | | | | | | | | | | all_61_14, simplifying with (678), (25937) gives:
% 176.74/27.61 | | | | | | | | | | | | | | | | | | (25940) all_65_44 = all_65_65
% 176.74/27.61 | | | | | | | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_6_1, all_65_38, e1,
% 176.74/27.61 | | | | | | | | | | | | | | | | | | all_61_9, simplifying with (25125), (25936) gives:
% 176.74/27.61 | | | | | | | | | | | | | | | | | | (25941) all_65_38 = all_6_1
% 176.74/27.61 | | | | | | | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | | | | | | | REDUCE: (25883), (25940) imply:
% 176.74/27.61 | | | | | | | | | | | | | | | | | | (25942) op(all_4_1, e0) = all_65_65
% 176.74/27.61 | | | | | | | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | | | | | | | BETA: splitting (157) gives:
% 176.74/27.61 | | | | | | | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | | | | | | | Case 1:
% 176.74/27.61 | | | | | | | | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | (25943) ~ (all_58_3 = e1)
% 176.74/27.61 | | | | | | | | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | REDUCE: (475), (25943) imply:
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | (25944) ~ (all_52_3 = e1)
% 176.74/27.61 | | | | | | | | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | BETA: splitting (160) gives:
% 176.74/27.61 | | | | | | | | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | Case 1:
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | | (25945) ~ (all_58_2 = e0)
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | | REDUCE: (478), (25945) imply:
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | | (25946) ~ (all_52_2 = e0)
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | | BETA: splitting (167) gives:
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | | | (25947) ~ (all_58_0 = e1)
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | | | REDUCE: (484), (25947) imply:
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | | | (25948) ~ (all_52_0 = e1)
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (162) gives:
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | | | | (25949) ~ (all_58_2 = e3)
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (478), (25949) imply:
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | | | | (25950) ~ (all_52_2 = e3)
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (161) gives:
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | | | | | (25951) ~ (all_58_2 = e2)
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (478), (25951) imply:
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | | | | | (25952) ~ (all_52_2 = e2)
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (50), (149), (538), (748), (21466), (25570),
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | | | | | (25946), (25950), (25952) are inconsistent by
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #54.
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | | | | | (25953) all_58_1 = e1
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (481), (25953) imply:
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | | | | | (25954) all_52_1 = e1
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (25954) implies:
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | | | | | (25955) all_52_1 = e1
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (731), (25955) imply:
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | | | | | (25956) op(e2, e1) = unit
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (50), (232), (25125), (25901), (25956) are
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #7.
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | | | | (25957) all_58_0 = e1
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (484), (25948), (25957) are inconsistent by
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | | | | sub-proof #470.
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | | | End of split
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | | | (25958) all_58_0 = e1
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (484), (25958) imply:
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | | | (25959) all_52_0 = e1
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | | | SIMP: (25959) implies:
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | | | (25960) all_52_0 = e1
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | | | REDUCE: (628), (25960) imply:
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | | | (25961) ~ (all_52_1 = e1)
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | | | SIMP: (25961) implies:
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | | | (25962) ~ (all_52_1 = e1)
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | | | REDUCE: (714), (25960) imply:
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | | | (25963) op(e3, e1) = unit
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_4_1, unit, e1, e3,
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | | | simplifying with (21521), (25963) gives:
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | | | (25964) all_4_1 = unit
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (21490), (25964) imply:
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | | | (25965) all_63_8 = unit
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | | | REDUCE: (25903), (25964) imply:
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | | | (25966) ~ (unit = e1)
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | | | REDUCE: (25141), (25964) imply:
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | | | (25967) op(unit, e2) = all_65_36
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | | | REDUCE: (25942), (25964) imply:
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | | | (25968) op(unit, e0) = all_65_65
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e0, all_65_65, e0, unit,
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | | | simplifying with (7), (25968) gives:
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | | | (25969) all_65_65 = e0
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e2, all_65_36, e2, unit,
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | | | simplifying with (9), (25967) gives:
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | | | (25970) all_65_36 = e2
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (158) gives:
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | | | | (25971) ~ (all_58_3 = e2)
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (475), (25971) imply:
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | | | | (25972) ~ (all_52_3 = e2)
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (20), (50), (150), (163), (165), (475),
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | | | | (481), (484), (536), (714), (731), (25079),
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | | | | (25128), (25570), (25907), (25962), (25972) are
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #96.
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | | | | (25973) all_58_3 = e2
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | | | | (25974) all_58_1 = e0
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (481), (25974) imply:
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | | | | (25975) all_52_1 = e0
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | | | | SIMP: (25975) implies:
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | | | | (25976) all_52_1 = e0
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (475), (25973) imply:
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | | | | (25977) all_52_3 = e2
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (731), (25976) imply:
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | | | | (25978) op(e2, e0) = unit
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (765), (25977) imply:
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | | | | (25979) op(e0, e2) = unit
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_7, unit, e2, e0,
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | | | | simplifying with (225), (25979) gives:
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | | | | (25980) all_61_7 = unit
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_13, unit, e0, e2,
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | | | | simplifying with (231), (25978) gives:
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | | | | (25981) all_61_13 = unit
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (25863), (25981) imply:
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | | | | (25982) ~ (all_28_1 = unit)
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | | | | SIMP: (25982) implies:
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | | | | (25983) ~ (all_28_1 = unit)
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (25109), (25981) imply:
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | | | | (25984) ~ (all_6_1 = unit)
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | | | | SIMP: (25984) implies:
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | | | | (25985) ~ (all_6_1 = unit)
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (25870), (25980) imply:
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | | | | (25986) op(unit, e2) = all_28_1
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (689), (25980) imply:
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | | | | (25987) op(unit, e0) = all_65_63
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (663), (25981) imply:
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | | | | (25988) op(unit, e2) = all_65_29
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (25873), (25981) imply:
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | | | | (25989) op(unit, e0) = all_6_1
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e0, all_65_63, e0, unit,
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | | | | simplifying with (7), (25987) gives:
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | | | | (25990) all_65_63 = e0
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_6_1, all_65_63, e0,
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | | | | unit, simplifying with (25987), (25989) gives:
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | | | | (25991) all_65_63 = all_6_1
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e2, all_65_29, e2, unit,
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | | | | simplifying with (9), (25988) gives:
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | | | | (25992) all_65_29 = e2
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_28_1, all_65_29, e2,
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | | | | unit, simplifying with (25986), (25988) gives:
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | | | | (25993) all_65_29 = all_28_1
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (25992), (25993) imply:
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | | | | (25994) all_28_1 = e2
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (25990), (25991) imply:
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | | | | (25995) all_6_1 = e0
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (25983), (25994) imply:
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | | | | (25996) ~ (unit = e2)
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | | | | SIMP: (25996) implies:
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | | | | (25997) ~ (unit = e2)
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (25985), (25995) imply:
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | | | | (25998) ~ (unit = e0)
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | | | | SIMP: (25998) implies:
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | | | | (25999) ~ (unit = e0)
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (263), (25570), (25965), (25966), (25997), (25999)
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #219.
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | | | End of split
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | | End of split
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | Case 2:
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | | (26000) all_58_3 = e1
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (475), (25944), (26000) are inconsistent by
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | | sub-proof #460.
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | End of split
% 176.74/27.61 | | | | | | | | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | | | | | | | Case 2:
% 176.74/27.61 | | | | | | | | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | (26001) all_58_2 = e0
% 176.74/27.61 | | | | | | | | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (50), (227), (478), (748), (25899), (25938),
% 176.74/27.61 | | | | | | | | | | | | | | | | | | | (26001) are inconsistent by sub-proof #35.
% 176.74/27.61 | | | | | | | | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | | | | | | | End of split
% 176.74/27.61 | | | | | | | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | | | | | | End of split
% 176.74/27.61 | | | | | | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | | | | | End of split
% 176.74/27.61 | | | | | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | | | | Case 2:
% 176.74/27.61 | | | | | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | | | | | (26002) all_63_0 = e0
% 176.74/27.61 | | | | | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | | | | | COMBINE_EQS: (588), (26002) imply:
% 176.74/27.61 | | | | | | | | | | | | | | | | (26003) all_14_2 = e0
% 176.74/27.61 | | | | | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | | | | | REDUCE: (25885), (26003) imply:
% 176.74/27.61 | | | | | | | | | | | | | | | | (26004) $false
% 176.74/27.61 | | | | | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | | | | | CLOSE: (26004) is inconsistent.
% 176.74/27.61 | | | | | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | | | | End of split
% 176.74/27.61 | | | | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | | | End of split
% 176.74/27.61 | | | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | | End of split
% 176.74/27.61 | | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | Case 2:
% 176.74/27.61 | | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | | (26005) all_36_2 = e0
% 176.74/27.61 | | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | | COMBINE_EQS: (557), (26005) imply:
% 176.74/27.61 | | | | | | | | | | | | | (26006) all_14_2 = e0
% 176.74/27.61 | | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | | SIMP: (26006) implies:
% 176.74/27.61 | | | | | | | | | | | | | (26007) all_14_2 = e0
% 176.74/27.61 | | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | | REDUCE: (25864), (26007) imply:
% 176.74/27.61 | | | | | | | | | | | | | (26008) ~ (all_28_1 = e0)
% 176.74/27.61 | | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | | REDUCE: (25113), (26007) imply:
% 176.74/27.61 | | | | | | | | | | | | | (26009) ~ (all_6_1 = e0)
% 176.74/27.61 | | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | | SIMP: (26009) implies:
% 176.74/27.61 | | | | | | | | | | | | | (26010) ~ (all_6_1 = e0)
% 176.74/27.61 | | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | | REDUCE: (25572), (26007) imply:
% 176.74/27.61 | | | | | | | | | | | | | (26011) ~ (e2 = e0)
% 176.74/27.61 | | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | | REDUCE: (25120), (26007) imply:
% 176.74/27.61 | | | | | | | | | | | | | (26012) op(all_6_1, e2) = e0
% 176.74/27.61 | | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | | BETA: splitting (158) gives:
% 176.74/27.61 | | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | | Case 1:
% 176.74/27.61 | | | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | | | (26013) ~ (all_58_3 = e2)
% 176.74/27.61 | | | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | | | REDUCE: (475), (26013) imply:
% 176.74/27.61 | | | | | | | | | | | | | | (26014) ~ (all_52_3 = e2)
% 176.74/27.61 | | | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | | | BETA: splitting (163) gives:
% 176.74/27.61 | | | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | | | Case 1:
% 176.74/27.61 | | | | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | | | | (26015) ~ (all_58_1 = e0)
% 176.74/27.61 | | | | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | | | | REDUCE: (481), (26015) imply:
% 176.74/27.61 | | | | | | | | | | | | | | | (26016) ~ (all_52_1 = e0)
% 176.74/27.61 | | | | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | | | | BETA: splitting (164) gives:
% 176.74/27.61 | | | | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | | | | Case 1:
% 176.74/27.61 | | | | | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | | | | | (26017) ~ (all_58_1 = e1)
% 176.74/27.61 | | | | | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | | | | | REDUCE: (481), (26017) imply:
% 176.74/27.61 | | | | | | | | | | | | | | | | (26018) ~ (all_52_1 = e1)
% 176.74/27.61 | | | | | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | | | | | REF_CLOSE: (9), (19), (50), (150), (165), (168), (481),
% 176.74/27.61 | | | | | | | | | | | | | | | | (484), (536), (714), (731), (25079), (25128),
% 176.74/27.61 | | | | | | | | | | | | | | | | (25570), (26012), (26016), (26018) are
% 176.74/27.61 | | | | | | | | | | | | | | | | inconsistent by sub-proof #76.
% 176.74/27.61 | | | | | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | | | | Case 2:
% 176.74/27.61 | | | | | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | | | | | (26019) all_58_2 = e2
% 176.74/27.61 | | | | | | | | | | | | | | | | (26020) all_58_1 = e1
% 176.74/27.61 | | | | | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | | | | | COMBINE_EQS: (481), (26020) imply:
% 176.74/27.61 | | | | | | | | | | | | | | | | (26021) all_52_1 = e1
% 176.74/27.61 | | | | | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | | | | | SIMP: (26021) implies:
% 176.74/27.61 | | | | | | | | | | | | | | | | (26022) all_52_1 = e1
% 176.74/27.61 | | | | | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | | | | | COMBINE_EQS: (478), (26019) imply:
% 176.74/27.61 | | | | | | | | | | | | | | | | (26023) all_52_2 = e2
% 176.74/27.61 | | | | | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | | | | | SIMP: (26023) implies:
% 176.74/27.61 | | | | | | | | | | | | | | | | (26024) all_52_2 = e2
% 176.74/27.61 | | | | | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | | | | | REDUCE: (731), (26022) imply:
% 176.74/27.61 | | | | | | | | | | | | | | | | (26025) op(e2, e1) = unit
% 176.74/27.61 | | | | | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | | | | | REDUCE: (748), (26024) imply:
% 176.74/27.61 | | | | | | | | | | | | | | | | (26026) op(e1, e2) = unit
% 176.74/27.61 | | | | | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_6, unit, e2, e1,
% 176.74/27.61 | | | | | | | | | | | | | | | | simplifying with (229), (26026) gives:
% 176.74/27.61 | | | | | | | | | | | | | | | | (26027) all_61_6 = unit
% 176.74/27.61 | | | | | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_9, unit, e1, e2,
% 176.74/27.61 | | | | | | | | | | | | | | | | simplifying with (232), (26025) gives:
% 176.74/27.61 | | | | | | | | | | | | | | | | (26028) all_61_9 = unit
% 176.74/27.61 | | | | | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | | | | | REDUCE: (25123), (26027) imply:
% 176.74/27.61 | | | | | | | | | | | | | | | | (26029) op(unit, e2) = all_4_1
% 176.74/27.61 | | | | | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | | | | | REDUCE: (672), (26027) imply:
% 176.74/27.61 | | | | | | | | | | | | | | | | (26030) op(unit, e1) = all_65_38
% 176.74/27.61 | | | | | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | | | | | REDUCE: (659), (26028) imply:
% 176.74/27.61 | | | | | | | | | | | | | | | | (26031) op(unit, e2) = all_65_25
% 176.74/27.61 | | | | | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | | | | | REDUCE: (25125), (26028) imply:
% 176.74/27.61 | | | | | | | | | | | | | | | | (26032) op(unit, e1) = all_6_1
% 176.74/27.61 | | | | | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e1, all_65_38, e1, unit,
% 176.74/27.61 | | | | | | | | | | | | | | | | simplifying with (8), (26030) gives:
% 176.74/27.61 | | | | | | | | | | | | | | | | (26033) all_65_38 = e1
% 176.74/27.61 | | | | | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_6_1, all_65_38, e1,
% 176.74/27.61 | | | | | | | | | | | | | | | | unit, simplifying with (26030), (26032) gives:
% 176.74/27.61 | | | | | | | | | | | | | | | | (26034) all_65_38 = all_6_1
% 176.74/27.61 | | | | | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e2, all_65_25, e2, unit,
% 176.74/27.61 | | | | | | | | | | | | | | | | simplifying with (9), (26031) gives:
% 176.74/27.61 | | | | | | | | | | | | | | | | (26035) all_65_25 = e2
% 176.74/27.61 | | | | | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_4_1, all_65_25, e2,
% 176.74/27.61 | | | | | | | | | | | | | | | | unit, simplifying with (26029), (26031) gives:
% 176.74/27.61 | | | | | | | | | | | | | | | | (26036) all_65_25 = all_4_1
% 176.74/27.61 | | | | | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | | | | | COMBINE_EQS: (26035), (26036) imply:
% 176.74/27.61 | | | | | | | | | | | | | | | | (26037) all_4_1 = e2
% 176.74/27.61 | | | | | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | | | | | SIMP: (26037) implies:
% 176.74/27.61 | | | | | | | | | | | | | | | | (26038) all_4_1 = e2
% 176.74/27.61 | | | | | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | | | | | COMBINE_EQS: (26033), (26034) imply:
% 176.74/27.61 | | | | | | | | | | | | | | | | (26039) all_6_1 = e1
% 176.74/27.61 | | | | | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | | | | | REDUCE: (25865), (26039) imply:
% 176.74/27.61 | | | | | | | | | | | | | | | | (26040) ~ (all_28_1 = e1)
% 176.74/27.61 | | | | | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | | | | | REDUCE: (25866), (26038) imply:
% 176.74/27.61 | | | | | | | | | | | | | | | | (26041) ~ (all_28_1 = e2)
% 176.74/27.61 | | | | | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | | | | | REF_CLOSE: (268), (25861), (25867), (26008), (26040), (26041)
% 176.74/27.61 | | | | | | | | | | | | | | | | are inconsistent by sub-proof #430.
% 176.74/27.61 | | | | | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | | | | End of split
% 176.74/27.61 | | | | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | | | Case 2:
% 176.74/27.61 | | | | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | | | | (26042) all_58_3 = e2
% 176.74/27.61 | | | | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | | | | COMBINE_EQS: (475), (26042) imply:
% 176.74/27.61 | | | | | | | | | | | | | | | (26043) all_52_3 = e2
% 176.74/27.61 | | | | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | | | | REDUCE: (26014), (26043) imply:
% 176.74/27.61 | | | | | | | | | | | | | | | (26044) $false
% 176.74/27.61 | | | | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | | | | CLOSE: (26044) is inconsistent.
% 176.74/27.61 | | | | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | | | End of split
% 176.74/27.61 | | | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | | Case 2:
% 176.74/27.61 | | | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | | | (26045) all_58_1 = e0
% 176.74/27.61 | | | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | | | COMBINE_EQS: (481), (26045) imply:
% 176.74/27.61 | | | | | | | | | | | | | | (26046) all_52_1 = e0
% 176.74/27.61 | | | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | | | SIMP: (26046) implies:
% 176.74/27.61 | | | | | | | | | | | | | | (26047) all_52_1 = e0
% 176.74/27.61 | | | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | | | REDUCE: (731), (26047) imply:
% 176.74/27.61 | | | | | | | | | | | | | | (26048) op(e2, e0) = unit
% 176.74/27.61 | | | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | | | REF_CLOSE: (7), (50), (231), (25873), (26010), (26048) are
% 176.74/27.61 | | | | | | | | | | | | | | inconsistent by sub-proof #82.
% 176.74/27.61 | | | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | | End of split
% 176.74/27.61 | | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | End of split
% 176.74/27.61 | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | Case 2:
% 176.74/27.61 | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | (26049) ~ (all_60_1 = e3) & op(e2, e2) = all_60_1 &
% 176.74/27.61 | | | | | | | | | | | | $i(all_60_1)
% 176.74/27.61 | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | ALPHA: (26049) implies:
% 176.74/27.61 | | | | | | | | | | | | (26050) ~ (all_60_1 = e3)
% 176.74/27.61 | | | | | | | | | | | | (26051) op(e2, e2) = all_60_1
% 176.74/27.61 | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | GROUND_INST: instantiating (50) with e3, all_60_1, e2, e2,
% 176.74/27.61 | | | | | | | | | | | | simplifying with (25079), (26051) gives:
% 176.74/27.61 | | | | | | | | | | | | (26052) all_60_1 = e3
% 176.74/27.61 | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | REDUCE: (26050), (26052) imply:
% 176.74/27.61 | | | | | | | | | | | | (26053) $false
% 176.74/27.61 | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | CLOSE: (26053) is inconsistent.
% 176.74/27.61 | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | End of split
% 176.74/27.61 | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | Case 2:
% 176.74/27.61 | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | (26054) ( ~ (all_60_2 = e3) & op(e1, e1) = all_60_2 &
% 176.74/27.61 | | | | | | | | | | | $i(all_60_2)) | ( ~ (all_60_3 = e3) & op(e0, e0)
% 176.74/27.61 | | | | | | | | | | | = all_60_3 & $i(all_60_3))
% 176.74/27.61 | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | BETA: splitting (26054) gives:
% 176.74/27.61 | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | Case 1:
% 176.74/27.61 | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | (26055) ~ (all_60_2 = e3) & op(e1, e1) = all_60_2 &
% 176.74/27.61 | | | | | | | | | | | | $i(all_60_2)
% 176.74/27.61 | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | ALPHA: (26055) implies:
% 176.74/27.61 | | | | | | | | | | | | (26056) ~ (all_60_2 = e3)
% 176.74/27.61 | | | | | | | | | | | | (26057) op(e1, e1) = all_60_2
% 176.74/27.61 | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | GROUND_INST: instantiating (50) with e3, all_60_2, e1, e1,
% 176.74/27.61 | | | | | | | | | | | | simplifying with (21466), (26057) gives:
% 176.74/27.61 | | | | | | | | | | | | (26058) all_60_2 = e3
% 176.74/27.61 | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | REDUCE: (26056), (26058) imply:
% 176.74/27.61 | | | | | | | | | | | | (26059) $false
% 176.74/27.61 | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | CLOSE: (26059) is inconsistent.
% 176.74/27.61 | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | Case 2:
% 176.74/27.61 | | | | | | | | | | | |
% 176.74/27.61 | | | | | | | | | | | | (26060) ~ (all_60_3 = e3) & op(e0, e0) = all_60_3 &
% 176.74/27.61 | | | | | | | | | | | | $i(all_60_3)
% 176.74/27.62 | | | | | | | | | | | |
% 176.74/27.62 | | | | | | | | | | | | ALPHA: (26060) implies:
% 176.74/27.62 | | | | | | | | | | | | (26061) ~ (all_60_3 = e3)
% 176.74/27.62 | | | | | | | | | | | | (26062) op(e0, e0) = all_60_3
% 176.74/27.62 | | | | | | | | | | | |
% 176.74/27.62 | | | | | | | | | | | | GROUND_INST: instantiating (50) with e3, all_60_3, e0, e0,
% 176.74/27.62 | | | | | | | | | | | | simplifying with (25832), (26062) gives:
% 176.74/27.62 | | | | | | | | | | | | (26063) all_60_3 = e3
% 176.74/27.62 | | | | | | | | | | | |
% 176.74/27.62 | | | | | | | | | | | | REDUCE: (26061), (26063) imply:
% 176.74/27.62 | | | | | | | | | | | | (26064) $false
% 176.74/27.62 | | | | | | | | | | | |
% 176.74/27.62 | | | | | | | | | | | | CLOSE: (26064) is inconsistent.
% 176.74/27.62 | | | | | | | | | | | |
% 176.74/27.62 | | | | | | | | | | | End of split
% 176.74/27.62 | | | | | | | | | | |
% 176.74/27.62 | | | | | | | | | | End of split
% 176.74/27.62 | | | | | | | | | |
% 176.74/27.62 | | | | | | | | | End of split
% 176.74/27.62 | | | | | | | | |
% 176.74/27.62 | | | | | | | | End of split
% 176.74/27.62 | | | | | | | |
% 176.74/27.62 | | | | | | | Case 2:
% 176.74/27.62 | | | | | | | |
% 176.74/27.62 | | | | | | | | (26065) all_20_2 = e2
% 176.74/27.62 | | | | | | | | (26066) op(e0, e2) = all_20_1 & $i(all_20_1) & ( ~ (all_20_1
% 176.74/27.62 | | | | | | | | = e1) | ( ~ (all_20_0 = e3) & op(e1, e0) =
% 176.74/27.62 | | | | | | | | all_20_0 & $i(all_20_0)))
% 176.74/27.62 | | | | | | | |
% 176.74/27.62 | | | | | | | | ALPHA: (26066) implies:
% 176.74/27.62 | | | | | | | | (26067) op(e0, e2) = all_20_1
% 176.74/27.62 | | | | | | | |
% 176.74/27.62 | | | | | | | | COMBINE_EQS: (581), (26065) imply:
% 176.74/27.62 | | | | | | | | (26068) all_46_2 = e2
% 176.74/27.62 | | | | | | | |
% 176.74/27.62 | | | | | | | | REDUCE: (695), (26065) imply:
% 176.74/27.62 | | | | | | | | (26069) op(e2, e2) = all_65_75
% 176.74/27.62 | | | | | | | |
% 176.74/27.62 | | | | | | | | REDUCE: (696), (26065) imply:
% 176.74/27.62 | | | | | | | | (26070) op(e2, e1) = all_65_77
% 176.74/27.62 | | | | | | | |
% 176.74/27.62 | | | | | | | | REDUCE: (697), (26065) imply:
% 176.74/27.62 | | | | | | | | (26071) op(e2, e0) = all_65_78
% 176.74/27.62 | | | | | | | |
% 176.74/27.62 | | | | | | | | REDUCE: (713), (26065) imply:
% 176.74/27.62 | | | | | | | | (26072) op(e3, e2) = all_65_15
% 176.74/27.62 | | | | | | | |
% 176.74/27.62 | | | | | | | | REDUCE: (730), (26065) imply:
% 176.74/27.62 | | | | | | | | (26073) op(e2, e2) = all_65_31
% 176.74/27.62 | | | | | | | |
% 176.74/27.62 | | | | | | | | REDUCE: (747), (26065) imply:
% 176.74/27.62 | | | | | | | | (26074) op(e1, e2) = all_65_47
% 176.74/27.62 | | | | | | | |
% 176.74/27.62 | | | | | | | | REDUCE: (764), (26065) imply:
% 176.74/27.62 | | | | | | | | (26075) op(e0, e2) = all_65_78
% 176.74/27.62 | | | | | | | |
% 176.74/27.62 | | | | | | | | BETA: splitting (116) gives:
% 176.74/27.62 | | | | | | | |
% 176.74/27.62 | | | | | | | | Case 1:
% 176.74/27.62 | | | | | | | | |
% 176.74/27.62 | | | | | | | | | (26076) ~ (all_46_2 = e2)
% 176.74/27.62 | | | | | | | | |
% 176.74/27.62 | | | | | | | | | REDUCE: (26068), (26076) imply:
% 176.74/27.62 | | | | | | | | | (26077) $false
% 176.74/27.62 | | | | | | | | |
% 176.74/27.62 | | | | | | | | | CLOSE: (26077) is inconsistent.
% 176.74/27.62 | | | | | | | | |
% 176.74/27.62 | | | | | | | | Case 2:
% 176.74/27.62 | | | | | | | | |
% 176.74/27.62 | | | | | | | | | (26078) op(e0, e2) = all_46_1 & $i(all_46_1) & ( ~
% 176.74/27.62 | | | | | | | | | (all_46_1 = e3) | ( ~ (all_46_0 = e1) & op(e3,
% 176.74/27.62 | | | | | | | | | e0) = all_46_0 & $i(all_46_0)))
% 176.74/27.62 | | | | | | | | |
% 176.74/27.62 | | | | | | | | | ALPHA: (26078) implies:
% 176.74/27.62 | | | | | | | | | (26079) op(e0, e2) = all_46_1
% 176.74/27.62 | | | | | | | | |
% 176.74/27.62 | | | | | | | | | GROUND_INST: instantiating (50) with all_61_7, all_46_1, e2,
% 176.74/27.62 | | | | | | | | | e0, simplifying with (225), (26079) gives:
% 176.74/27.62 | | | | | | | | | (26080) all_61_7 = all_46_1
% 176.74/27.62 | | | | | | | | |
% 176.74/27.62 | | | | | | | | | GROUND_INST: instantiating (50) with all_61_7, all_65_78, e2,
% 176.74/27.62 | | | | | | | | | e0, simplifying with (225), (26075) gives:
% 176.74/27.62 | | | | | | | | | (26081) all_65_78 = all_61_7
% 176.74/27.62 | | | | | | | | |
% 176.74/27.62 | | | | | | | | | GROUND_INST: instantiating (50) with all_20_1, all_65_78, e2,
% 176.74/27.62 | | | | | | | | | e0, simplifying with (26067), (26075) gives:
% 176.74/27.62 | | | | | | | | | (26082) all_65_78 = all_20_1
% 176.74/27.62 | | | | | | | | |
% 176.74/27.62 | | | | | | | | | GROUND_INST: instantiating (50) with all_61_6, all_65_47, e2,
% 176.74/27.62 | | | | | | | | | e1, simplifying with (229), (26074) gives:
% 176.74/27.62 | | | | | | | | | (26083) all_65_47 = all_61_6
% 176.74/27.62 | | | | | | | | |
% 176.74/27.62 | | | | | | | | | GROUND_INST: instantiating (50) with all_61_13, all_65_78, e0,
% 176.74/27.62 | | | | | | | | | e2, simplifying with (231), (26071) gives:
% 176.74/27.62 | | | | | | | | | (26084) all_65_78 = all_61_13
% 176.74/27.62 | | | | | | | | |
% 176.74/27.62 | | | | | | | | | GROUND_INST: instantiating (50) with all_61_9, all_65_77, e1,
% 176.74/27.62 | | | | | | | | | e2, simplifying with (232), (26070) gives:
% 176.74/27.62 | | | | | | | | | (26085) all_65_77 = all_61_9
% 176.74/27.62 | | | | | | | | |
% 176.74/27.62 | | | | | | | | | GROUND_INST: instantiating (50) with e3, all_65_31, e2, e2,
% 176.74/27.62 | | | | | | | | | simplifying with (25079), (26073) gives:
% 176.74/27.62 | | | | | | | | | (26086) all_65_31 = e3
% 176.74/27.62 | | | | | | | | |
% 176.74/27.62 | | | | | | | | | GROUND_INST: instantiating (50) with all_65_75, all_65_31, e2,
% 176.74/27.62 | | | | | | | | | e2, simplifying with (26069), (26073) gives:
% 176.74/27.62 | | | | | | | | | (26087) all_65_31 = all_65_75
% 176.74/27.62 | | | | | | | | |
% 176.74/27.62 | | | | | | | | | GROUND_INST: instantiating (50) with all_6_1, all_65_15, e2,
% 176.74/27.62 | | | | | | | | | e3, simplifying with (25128), (26072) gives:
% 176.74/27.62 | | | | | | | | | (26088) all_65_15 = all_6_1
% 176.74/27.62 | | | | | | | | |
% 176.74/27.62 | | | | | | | | | COMBINE_EQS: (26086), (26087) imply:
% 176.74/27.62 | | | | | | | | | (26089) all_65_75 = e3
% 176.74/27.62 | | | | | | | | |
% 176.74/27.62 | | | | | | | | | COMBINE_EQS: (26082), (26084) imply:
% 176.74/27.62 | | | | | | | | | (26090) all_61_13 = all_20_1
% 176.74/27.62 | | | | | | | | |
% 176.74/27.62 | | | | | | | | | COMBINE_EQS: (26081), (26084) imply:
% 176.74/27.62 | | | | | | | | | (26091) all_61_7 = all_61_13
% 176.74/27.62 | | | | | | | | |
% 176.74/27.62 | | | | | | | | | SIMP: (26091) implies:
% 176.74/27.62 | | | | | | | | | (26092) all_61_7 = all_61_13
% 176.74/27.62 | | | | | | | | |
% 176.74/27.62 | | | | | | | | | COMBINE_EQS: (26080), (26092) imply:
% 176.74/27.62 | | | | | | | | | (26093) all_61_13 = all_46_1
% 176.74/27.62 | | | | | | | | |
% 176.74/27.62 | | | | | | | | | SIMP: (26093) implies:
% 176.74/27.62 | | | | | | | | | (26094) all_61_13 = all_46_1
% 176.74/27.62 | | | | | | | | |
% 176.74/27.62 | | | | | | | | | COMBINE_EQS: (26090), (26094) imply:
% 176.74/27.62 | | | | | | | | | (26095) all_46_1 = all_20_1
% 176.74/27.62 | | | | | | | | |
% 176.74/27.62 | | | | | | | | | SIMP: (26095) implies:
% 176.74/27.62 | | | | | | | | | (26096) all_46_1 = all_20_1
% 176.74/27.62 | | | | | | | | |
% 176.74/27.62 | | | | | | | | | COMBINE_EQS: (26080), (26096) imply:
% 176.74/27.62 | | | | | | | | | (26097) all_61_7 = all_20_1
% 176.74/27.62 | | | | | | | | |
% 176.74/27.62 | | | | | | | | | REDUCE: (25124), (26097) imply:
% 176.74/27.62 | | | | | | | | | (26098) op(all_20_1, e2) = all_61_3
% 176.74/27.62 | | | | | | | | |
% 176.74/27.62 | | | | | | | | | REDUCE: (689), (26097) imply:
% 176.74/27.62 | | | | | | | | | (26099) op(all_20_1, e0) = all_65_63
% 176.74/27.62 | | | | | | | | |
% 176.74/27.62 | | | | | | | | | REDUCE: (663), (26090) imply:
% 176.74/27.62 | | | | | | | | | (26100) op(all_20_1, e2) = all_65_29
% 176.74/27.62 | | | | | | | | |
% 176.74/27.62 | | | | | | | | | REDUCE: (665), (26086), (26090) imply:
% 176.74/27.62 | | | | | | | | | (26101) op(all_20_1, e0) = e3
% 176.74/27.62 | | | | | | | | |
% 176.74/27.62 | | | | | | | | | REDUCE: (681), (26083) imply:
% 176.74/27.62 | | | | | | | | | (26102) op(all_61_14, e0) = all_61_6
% 176.74/27.62 | | | | | | | | |
% 176.74/27.62 | | | | | | | | | REDUCE: (728), (26097) imply:
% 176.74/27.62 | | | | | | | | | (26103) op(e2, all_20_1) = all_65_29
% 176.74/27.62 | | | | | | | | |
% 176.74/27.62 | | | | | | | | | REDUCE: (25130), (26090) imply:
% 176.74/27.62 | | | | | | | | | (26104) op(e2, all_20_1) = all_61_12
% 176.74/27.62 | | | | | | | | |
% 176.74/27.62 | | | | | | | | | REDUCE: (231), (26090) imply:
% 176.74/27.62 | | | | | | | | | (26105) op(e2, e0) = all_20_1
% 176.74/27.62 | | | | | | | | |
% 176.74/27.62 | | | | | | | | | REDUCE: (763), (26085) imply:
% 176.74/27.62 | | | | | | | | | (26106) op(e0, all_61_11) = all_61_9
% 176.74/27.62 | | | | | | | | |
% 176.74/27.62 | | | | | | | | | GROUND_INST: instantiating (50) with all_61_12, all_65_29,
% 176.74/27.62 | | | | | | | | | all_20_1, e2, simplifying with (26103), (26104)
% 176.74/27.62 | | | | | | | | | gives:
% 176.74/27.62 | | | | | | | | | (26107) all_65_29 = all_61_12
% 176.74/27.62 | | | | | | | | |
% 176.74/27.62 | | | | | | | | | GROUND_INST: instantiating (50) with e3, all_65_63, e0,
% 176.74/27.62 | | | | | | | | | all_20_1, simplifying with (26099), (26101) gives:
% 176.74/27.62 | | | | | | | | | (26108) all_65_63 = e3
% 176.74/27.62 | | | | | | | | |
% 176.74/27.62 | | | | | | | | | GROUND_INST: instantiating (50) with all_61_3, all_65_29, e2,
% 176.74/27.62 | | | | | | | | | all_20_1, simplifying with (26098), (26100) gives:
% 176.74/27.62 | | | | | | | | | (26109) all_65_29 = all_61_3
% 176.74/27.62 | | | | | | | | |
% 176.74/27.62 | | | | | | | | | COMBINE_EQS: (26107), (26109) imply:
% 176.74/27.62 | | | | | | | | | (26110) all_61_3 = all_61_12
% 176.74/27.62 | | | | | | | | |
% 176.74/27.62 | | | | | | | | | BETA: splitting (101) gives:
% 176.74/27.62 | | | | | | | | |
% 176.74/27.62 | | | | | | | | | Case 1:
% 176.74/27.62 | | | | | | | | | |
% 176.74/27.62 | | | | | | | | | | (26111) ~ (all_36_2 = e0)
% 176.74/27.62 | | | | | | | | | |
% 176.74/27.62 | | | | | | | | | | REDUCE: (557), (26111) imply:
% 176.74/27.62 | | | | | | | | | | (26112) ~ (all_14_2 = e0)
% 176.74/27.62 | | | | | | | | | |
% 176.74/27.62 | | | | | | | | | | BETA: splitting (107) gives:
% 176.74/27.62 | | | | | | | | | |
% 176.74/27.62 | | | | | | | | | | Case 1:
% 176.74/27.62 | | | | | | | | | | |
% 176.74/27.62 | | | | | | | | | | | (26113) ~ (all_40_2 = e1)
% 176.74/27.62 | | | | | | | | | | |
% 176.74/27.62 | | | | | | | | | | | REDUCE: (553), (26113) imply:
% 176.74/27.62 | | | | | | | | | | | (26114) ~ (all_14_2 = e1)
% 176.74/27.62 | | | | | | | | | | |
% 176.74/27.62 | | | | | | | | | | | REF_CLOSE: (10), (50), (67), (151), (159), (162), (165),
% 176.74/27.62 | | | | | | | | | | | (166), (167), (168), (226), (230), (234), (235),
% 176.74/27.62 | | | | | | | | | | | (236), (237), (271), (475), (478), (481), (484),
% 176.74/27.62 | | | | | | | | | | | (534), (588), (599), (601), (603), (635), (636),
% 176.74/27.62 | | | | | | | | | | | (637), (638), (642), (646), (650), (666), (682),
% 176.74/27.62 | | | | | | | | | | | (698), (714), (715), (731), (732), (748), (749),
% 176.74/27.62 | | | | | | | | | | | (765), (25570), (25572), (26112), (26114) are
% 176.74/27.62 | | | | | | | | | | | inconsistent by sub-proof #502.
% 176.74/27.62 | | | | | | | | | | |
% 176.74/27.62 | | | | | | | | | | Case 2:
% 176.74/27.62 | | | | | | | | | | |
% 176.74/27.62 | | | | | | | | | | | (26115) all_40_2 = e1
% 176.74/27.62 | | | | | | | | | | |
% 176.74/27.62 | | | | | | | | | | | COMBINE_EQS: (553), (26115) imply:
% 176.74/27.62 | | | | | | | | | | | (26116) all_14_2 = e1
% 176.74/27.62 | | | | | | | | | | |
% 176.74/27.62 | | | | | | | | | | | SIMP: (26116) implies:
% 176.74/27.62 | | | | | | | | | | | (26117) all_14_2 = e1
% 176.74/27.62 | | | | | | | | | | |
% 176.74/27.62 | | | | | | | | | | | REDUCE: (25113), (26117) imply:
% 176.74/27.62 | | | | | | | | | | | (26118) ~ (all_6_1 = e1)
% 176.74/27.62 | | | | | | | | | | |
% 176.74/27.62 | | | | | | | | | | | SIMP: (26118) implies:
% 176.74/27.62 | | | | | | | | | | | (26119) ~ (all_6_1 = e1)
% 176.74/27.62 | | | | | | | | | | |
% 176.74/27.62 | | | | | | | | | | | REDUCE: (25572), (26117) imply:
% 176.74/27.62 | | | | | | | | | | | (26120) ~ (e2 = e1)
% 176.74/27.62 | | | | | | | | | | |
% 176.74/27.62 | | | | | | | | | | | REDUCE: (25140), (26117) imply:
% 176.74/27.62 | | | | | | | | | | | (26121) op(e1, e2) = all_65_16
% 176.74/27.62 | | | | | | | | | | |
% 176.74/27.62 | | | | | | | | | | | REDUCE: (25120), (26117) imply:
% 176.74/27.62 | | | | | | | | | | | (26122) op(all_6_1, e2) = e1
% 176.74/27.62 | | | | | | | | | | |
% 176.74/27.62 | | | | | | | | | | | REDUCE: (715), (26117) imply:
% 176.74/27.62 | | | | | | | | | | | (26123) op(e2, e1) = all_65_16
% 176.74/27.62 | | | | | | | | | | |
% 176.74/27.62 | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_6, all_65_16, e2,
% 176.74/27.62 | | | | | | | | | | | e1, simplifying with (229), (26121) gives:
% 176.74/27.62 | | | | | | | | | | | (26124) all_65_16 = all_61_6
% 176.74/27.62 | | | | | | | | | | |
% 176.74/27.62 | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_9, all_65_16, e1,
% 176.74/27.62 | | | | | | | | | | | e2, simplifying with (232), (26123) gives:
% 176.74/27.62 | | | | | | | | | | | (26125) all_65_16 = all_61_9
% 176.74/27.62 | | | | | | | | | | |
% 176.74/27.62 | | | | | | | | | | | COMBINE_EQS: (26124), (26125) imply:
% 176.74/27.62 | | | | | | | | | | | (26126) all_61_6 = all_61_9
% 176.74/27.62 | | | | | | | | | | |
% 176.74/27.62 | | | | | | | | | | | REDUCE: (672), (26126) imply:
% 176.74/27.62 | | | | | | | | | | | (26127) op(all_61_9, e1) = all_65_38
% 176.74/27.62 | | | | | | | | | | |
% 176.74/27.62 | | | | | | | | | | | GROUND_INST: instantiating (50) with all_6_1, all_65_38, e1,
% 176.74/27.62 | | | | | | | | | | | all_61_9, simplifying with (25125), (26127) gives:
% 176.74/27.62 | | | | | | | | | | | (26128) all_65_38 = all_6_1
% 176.74/27.62 | | | | | | | | | | |
% 176.74/27.62 | | | | | | | | | | | BETA: splitting (161) gives:
% 176.74/27.62 | | | | | | | | | | |
% 176.74/27.62 | | | | | | | | | | | Case 1:
% 176.74/27.62 | | | | | | | | | | | |
% 176.74/27.62 | | | | | | | | | | | | (26129) ~ (all_58_2 = e2)
% 176.74/27.62 | | | | | | | | | | | |
% 176.74/27.62 | | | | | | | | | | | | REDUCE: (478), (26129) imply:
% 176.74/27.62 | | | | | | | | | | | | (26130) ~ (all_52_2 = e2)
% 176.74/27.62 | | | | | | | | | | | |
% 176.74/27.62 | | | | | | | | | | | | REF_CLOSE: (7), (9), (20), (21), (50), (150), (163), (164),
% 176.74/27.62 | | | | | | | | | | | | (165), (478), (481), (484), (536), (714), (731),
% 176.74/27.62 | | | | | | | | | | | | (25079), (25128), (25570), (26101), (26105),
% 176.74/27.62 | | | | | | | | | | | | (26122), (26130) are inconsistent by sub-proof
% 176.74/27.62 | | | | | | | | | | | | #64.
% 176.74/27.62 | | | | | | | | | | | |
% 176.74/27.62 | | | | | | | | | | | Case 2:
% 176.74/27.62 | | | | | | | | | | | |
% 176.74/27.62 | | | | | | | | | | | | (26131) all_58_1 = e1
% 176.74/27.62 | | | | | | | | | | | |
% 176.74/27.62 | | | | | | | | | | | | REF_CLOSE: (8), (50), (232), (481), (731), (25125), (26119),
% 176.74/27.62 | | | | | | | | | | | | (26131) are inconsistent by sub-proof #6.
% 176.74/27.62 | | | | | | | | | | | |
% 176.74/27.62 | | | | | | | | | | | End of split
% 176.74/27.62 | | | | | | | | | | |
% 176.74/27.62 | | | | | | | | | | End of split
% 176.74/27.62 | | | | | | | | | |
% 176.74/27.62 | | | | | | | | | Case 2:
% 176.74/27.62 | | | | | | | | | |
% 176.74/27.62 | | | | | | | | | | (26132) all_36_2 = e0
% 176.74/27.62 | | | | | | | | | |
% 176.74/27.62 | | | | | | | | | | COMBINE_EQS: (557), (26132) imply:
% 176.74/27.62 | | | | | | | | | | (26133) all_14_2 = e0
% 176.74/27.62 | | | | | | | | | |
% 176.74/27.62 | | | | | | | | | | REDUCE: (25572), (26133) imply:
% 176.74/27.62 | | | | | | | | | | (26134) ~ (e2 = e0)
% 176.74/27.62 | | | | | | | | | |
% 176.74/27.62 | | | | | | | | | | REDUCE: (21538), (26133) imply:
% 176.74/27.62 | | | | | | | | | | (26135) op(e0, e1) = all_65_32
% 176.74/27.62 | | | | | | | | | |
% 176.74/27.62 | | | | | | | | | | REDUCE: (25120), (26133) imply:
% 176.74/27.62 | | | | | | | | | | (26136) op(all_6_1, e2) = e0
% 176.74/27.62 | | | | | | | | | |
% 176.74/27.62 | | | | | | | | | | REDUCE: (21515), (26133) imply:
% 176.74/27.62 | | | | | | | | | | (26137) op(all_4_1, e1) = e0
% 176.74/27.62 | | | | | | | | | |
% 176.74/27.62 | | | | | | | | | | REDUCE: (715), (26133) imply:
% 176.74/27.62 | | | | | | | | | | (26138) op(e2, e0) = all_65_16
% 176.74/27.62 | | | | | | | | | |
% 176.74/27.62 | | | | | | | | | | REDUCE: (25142), (26133) imply:
% 176.74/27.62 | | | | | | | | | | (26139) op(e2, all_6_1) = e0
% 176.74/27.62 | | | | | | | | | |
% 176.74/27.62 | | | | | | | | | | REDUCE: (732), (26133) imply:
% 176.74/27.62 | | | | | | | | | | (26140) op(e1, e0) = all_65_32
% 176.74/27.62 | | | | | | | | | |
% 176.74/27.62 | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_11, all_65_32, e1,
% 176.74/27.62 | | | | | | | | | | e0, simplifying with (224), (26135) gives:
% 176.74/27.62 | | | | | | | | | | (26141) all_65_32 = all_61_11
% 176.74/27.62 | | | | | | | | | |
% 176.74/27.62 | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_14, all_65_32, e0,
% 176.74/27.62 | | | | | | | | | | e1, simplifying with (227), (26140) gives:
% 176.74/27.62 | | | | | | | | | | (26142) all_65_32 = all_61_14
% 176.74/27.62 | | | | | | | | | |
% 176.74/27.62 | | | | | | | | | | GROUND_INST: instantiating (50) with all_20_1, all_65_16, e0,
% 176.74/27.62 | | | | | | | | | | e2, simplifying with (26105), (26138) gives:
% 176.74/27.62 | | | | | | | | | | (26143) all_65_16 = all_20_1
% 176.74/27.62 | | | | | | | | | |
% 176.74/27.62 | | | | | | | | | | COMBINE_EQS: (26141), (26142) imply:
% 176.74/27.62 | | | | | | | | | | (26144) all_61_11 = all_61_14
% 176.74/27.62 | | | | | | | | | |
% 176.74/27.62 | | | | | | | | | | SIMP: (26144) implies:
% 176.74/27.62 | | | | | | | | | | (26145) all_61_11 = all_61_14
% 176.74/27.62 | | | | | | | | | |
% 176.74/27.62 | | | | | | | | | | REDUCE: (693), (26145) imply:
% 176.74/27.62 | | | | | | | | | | (26146) op(all_61_14, e0) = all_65_71
% 176.74/27.62 | | | | | | | | | |
% 176.74/27.62 | | | | | | | | | | REDUCE: (26106), (26145) imply:
% 176.74/27.62 | | | | | | | | | | (26147) op(e0, all_61_14) = all_61_9
% 176.74/27.62 | | | | | | | | | |
% 176.74/27.62 | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_71, all_61_9,
% 176.74/27.62 | | | | | | | | | | all_61_14, e0, simplifying with (760), (26147)
% 176.74/27.62 | | | | | | | | | | gives:
% 176.74/27.62 | | | | | | | | | | (26148) all_65_71 = all_61_9
% 176.74/27.62 | | | | | | | | | |
% 176.74/27.62 | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_6, all_65_71, e0,
% 176.74/27.62 | | | | | | | | | | all_61_14, simplifying with (26102), (26146)
% 176.74/27.62 | | | | | | | | | | gives:
% 176.74/27.62 | | | | | | | | | | (26149) all_65_71 = all_61_6
% 176.74/27.62 | | | | | | | | | |
% 176.74/27.62 | | | | | | | | | | COMBINE_EQS: (26148), (26149) imply:
% 176.74/27.62 | | | | | | | | | | (26150) all_61_6 = all_61_9
% 176.74/27.62 | | | | | | | | | |
% 176.74/27.62 | | | | | | | | | | REDUCE: (25123), (26150) imply:
% 176.74/27.62 | | | | | | | | | | (26151) op(all_61_9, e2) = all_4_1
% 176.74/27.62 | | | | | | | | | |
% 176.74/27.62 | | | | | | | | | | REDUCE: (672), (26150) imply:
% 176.74/27.62 | | | | | | | | | | (26152) op(all_61_9, e1) = all_65_38
% 176.74/27.62 | | | | | | | | | |
% 176.74/27.62 | | | | | | | | | | GROUND_INST: instantiating (50) with all_6_1, all_65_38, e1,
% 176.74/27.62 | | | | | | | | | | all_61_9, simplifying with (25125), (26152) gives:
% 176.74/27.62 | | | | | | | | | | (26153) all_65_38 = all_6_1
% 176.74/27.62 | | | | | | | | | |
% 176.74/27.62 | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_25, all_4_1, e2,
% 176.74/27.62 | | | | | | | | | | all_61_9, simplifying with (659), (26151) gives:
% 176.74/27.62 | | | | | | | | | | (26154) all_65_25 = all_4_1
% 176.74/27.62 | | | | | | | | | |
% 176.74/27.62 | | | | | | | | | | BETA: splitting (157) gives:
% 176.74/27.62 | | | | | | | | | |
% 176.74/27.62 | | | | | | | | | | Case 1:
% 176.74/27.62 | | | | | | | | | | |
% 176.74/27.62 | | | | | | | | | | | (26155) ~ (all_58_3 = e1)
% 176.74/27.62 | | | | | | | | | | |
% 176.74/27.62 | | | | | | | | | | | REDUCE: (475), (26155) imply:
% 176.74/27.62 | | | | | | | | | | | (26156) ~ (all_52_3 = e1)
% 176.74/27.62 | | | | | | | | | | |
% 176.74/27.62 | | | | | | | | | | | REF_CLOSE: (8), (9), (18), (50), (149), (160), (161), (162),
% 176.74/27.62 | | | | | | | | | | | (232), (475), (478), (481), (484), (538), (714),
% 176.74/27.62 | | | | | | | | | | | (731), (748), (21452), (21466), (21521), (25125),
% 176.74/27.62 | | | | | | | | | | | (25570), (26137), (26139), (26151), (26156) are
% 176.74/27.62 | | | | | | | | | | | inconsistent by sub-proof #3.
% 176.74/27.62 | | | | | | | | | | |
% 176.74/27.62 | | | | | | | | | | Case 2:
% 176.74/27.62 | | | | | | | | | | |
% 176.74/27.62 | | | | | | | | | | | (26157) all_58_3 = e1
% 176.74/27.62 | | | | | | | | | | |
% 176.74/27.62 | | | | | | | | | | | COMBINE_EQS: (475), (26157) imply:
% 176.74/27.62 | | | | | | | | | | | (26158) all_52_3 = e1
% 176.74/27.62 | | | | | | | | | | |
% 176.74/27.62 | | | | | | | | | | | REDUCE: (632), (26158) imply:
% 176.74/27.62 | | | | | | | | | | | (26159) ~ (all_52_1 = e1)
% 176.74/27.62 | | | | | | | | | | |
% 176.74/27.62 | | | | | | | | | | | REF_CLOSE: (7), (9), (19), (21), (50), (150), (161), (163),
% 176.74/27.62 | | | | | | | | | | | (164), (165), (168), (478), (481), (484), (536),
% 176.74/27.62 | | | | | | | | | | | (714), (731), (25079), (25128), (25570), (26101),
% 176.74/27.62 | | | | | | | | | | | (26105), (26136), (26159) are inconsistent by
% 176.74/27.62 | | | | | | | | | | | sub-proof #73.
% 176.74/27.62 | | | | | | | | | | |
% 176.74/27.62 | | | | | | | | | | End of split
% 176.74/27.62 | | | | | | | | | |
% 176.74/27.62 | | | | | | | | | End of split
% 176.74/27.62 | | | | | | | | |
% 176.74/27.62 | | | | | | | | End of split
% 176.74/27.62 | | | | | | | |
% 176.74/27.62 | | | | | | | End of split
% 176.74/27.62 | | | | | | |
% 176.74/27.62 | | | | | | Case 2:
% 176.74/27.62 | | | | | | |
% 176.74/27.62 | | | | | | | (26160) all_14_2 = e2
% 176.74/27.62 | | | | | | | (26161) op(e3, e2) = all_14_1 & $i(all_14_1) & ( ~ (all_14_1 =
% 176.74/27.62 | | | | | | | e0) | ( ~ (all_14_0 = e1) & op(e0, e3) = all_14_0 &
% 176.74/27.62 | | | | | | | $i(all_14_0)))
% 176.74/27.62 | | | | | | |
% 176.74/27.62 | | | | | | | ALPHA: (26161) implies:
% 176.74/27.62 | | | | | | | (26162) op(e3, e2) = all_14_1
% 176.74/27.62 | | | | | | | (26163) ~ (all_14_1 = e0) | ( ~ (all_14_0 = e1) & op(e0, e3) =
% 176.74/27.62 | | | | | | | all_14_0 & $i(all_14_0))
% 176.74/27.62 | | | | | | |
% 176.74/27.62 | | | | | | | COMBINE_EQS: (561), (26160) imply:
% 176.74/27.62 | | | | | | | (26164) all_26_2 = e2
% 176.74/27.62 | | | | | | |
% 176.74/27.62 | | | | | | | REDUCE: (597), (26160) imply:
% 176.74/27.62 | | | | | | | (26165) ~ (all_61_3 = e2)
% 176.74/27.62 | | | | | | |
% 176.74/27.62 | | | | | | | REDUCE: (603), (26160) imply:
% 176.74/27.62 | | | | | | | (26166) ~ (all_61_12 = e2)
% 176.74/27.62 | | | | | | |
% 176.74/27.62 | | | | | | | REDUCE: (25113), (26160) imply:
% 176.74/27.62 | | | | | | | (26167) ~ (all_6_1 = e2)
% 176.74/27.62 | | | | | | |
% 176.74/27.62 | | | | | | | SIMP: (26167) implies:
% 176.74/27.62 | | | | | | | (26168) ~ (all_6_1 = e2)
% 176.74/27.62 | | | | | | |
% 176.74/27.62 | | | | | | | REDUCE: (21507), (26160) imply:
% 176.74/27.62 | | | | | | | (26169) ~ (all_4_1 = e2)
% 176.74/27.62 | | | | | | |
% 176.74/27.62 | | | | | | | SIMP: (26169) implies:
% 176.74/27.62 | | | | | | | (26170) ~ (all_4_1 = e2)
% 176.74/27.62 | | | | | | |
% 176.74/27.62 | | | | | | | REDUCE: (21538), (26160) imply:
% 176.74/27.62 | | | | | | | (26171) op(e2, e1) = all_65_32
% 176.74/27.62 | | | | | | |
% 176.74/27.62 | | | | | | | REDUCE: (637), (26160) imply:
% 176.74/27.62 | | | | | | | (26172) op(e2, e0) = all_65_3
% 176.74/27.62 | | | | | | |
% 176.74/27.62 | | | | | | | REDUCE: (21515), (26160) imply:
% 176.74/27.62 | | | | | | | (26173) op(all_4_1, e1) = e2
% 176.74/27.62 | | | | | | |
% 176.74/27.62 | | | | | | | REDUCE: (698), (26160) imply:
% 176.74/27.62 | | | | | | | (26174) op(e3, e2) = all_65_0
% 176.74/27.62 | | | | | | |
% 176.74/27.62 | | | | | | | REDUCE: (67), (26160) imply:
% 176.74/27.62 | | | | | | | (26175) op(e3, e3) = e2
% 176.74/27.62 | | | | | | |
% 176.74/27.62 | | | | | | | REDUCE: (715), (26160) imply:
% 176.74/27.62 | | | | | | | (26176) op(e2, e2) = all_65_16
% 176.74/27.62 | | | | | | |
% 176.74/27.62 | | | | | | | REDUCE: (732), (26160) imply:
% 176.74/27.62 | | | | | | | (26177) op(e1, e2) = all_65_32
% 176.74/27.62 | | | | | | |
% 176.74/27.62 | | | | | | | REDUCE: (749), (26160) imply:
% 176.74/27.62 | | | | | | | (26178) op(e0, e2) = all_65_49
% 176.74/27.62 | | | | | | |
% 176.74/27.62 | | | | | | | BETA: splitting (86) gives:
% 176.74/27.62 | | | | | | |
% 176.74/27.62 | | | | | | | Case 1:
% 176.74/27.62 | | | | | | | |
% 176.74/27.62 | | | | | | | | (26179) ~ (all_26_2 = e2)
% 176.74/27.62 | | | | | | | |
% 176.74/27.62 | | | | | | | | REDUCE: (26164), (26179) imply:
% 176.74/27.62 | | | | | | | | (26180) $false
% 176.74/27.62 | | | | | | | |
% 176.74/27.62 | | | | | | | | CLOSE: (26180) is inconsistent.
% 176.74/27.62 | | | | | | | |
% 176.74/27.62 | | | | | | | Case 2:
% 176.74/27.62 | | | | | | | |
% 176.74/27.62 | | | | | | | | (26181) op(e3, e2) = all_26_1 & $i(all_26_1) & ( ~ (all_26_1
% 176.74/27.62 | | | | | | | | = e1) | ( ~ (all_26_0 = e0) & op(e1, e3) =
% 176.74/27.62 | | | | | | | | all_26_0 & $i(all_26_0)))
% 176.74/27.62 | | | | | | | |
% 176.74/27.62 | | | | | | | | ALPHA: (26181) implies:
% 176.74/27.62 | | | | | | | | (26182) op(e3, e2) = all_26_1
% 176.74/27.62 | | | | | | | |
% 176.74/27.62 | | | | | | | | GROUND_INST: instantiating (50) with all_61_7, all_65_49, e2,
% 176.74/27.62 | | | | | | | | e0, simplifying with (225), (26178) gives:
% 176.74/27.62 | | | | | | | | (26183) all_65_49 = all_61_7
% 176.74/27.62 | | | | | | | |
% 176.74/27.62 | | | | | | | | GROUND_INST: instantiating (50) with all_61_6, all_65_32, e2,
% 176.74/27.62 | | | | | | | | e1, simplifying with (229), (26177) gives:
% 176.74/27.62 | | | | | | | | (26184) all_65_32 = all_61_6
% 176.74/27.62 | | | | | | | |
% 176.74/27.62 | | | | | | | | GROUND_INST: instantiating (50) with all_61_13, all_65_3, e0,
% 176.74/27.62 | | | | | | | | e2, simplifying with (231), (26172) gives:
% 176.74/27.62 | | | | | | | | (26185) all_65_3 = all_61_13
% 176.74/27.62 | | | | | | | |
% 176.74/27.62 | | | | | | | | GROUND_INST: instantiating (50) with all_61_9, all_65_32, e1,
% 176.74/27.62 | | | | | | | | e2, simplifying with (232), (26171) gives:
% 176.74/27.62 | | | | | | | | (26186) all_65_32 = all_61_9
% 176.74/27.62 | | | | | | | |
% 176.74/27.62 | | | | | | | | GROUND_INST: instantiating (50) with e3, all_65_16, e2, e2,
% 176.74/27.62 | | | | | | | | simplifying with (25079), (26176) gives:
% 176.74/27.62 | | | | | | | | (26187) all_65_16 = e3
% 176.74/27.62 | | | | | | | |
% 176.74/27.62 | | | | | | | | GROUND_INST: instantiating (50) with all_6_1, all_26_1, e2, e3,
% 176.74/27.62 | | | | | | | | simplifying with (25128), (26182) gives:
% 176.74/27.62 | | | | | | | | (26188) all_26_1 = all_6_1
% 176.74/27.62 | | | | | | | |
% 176.74/27.62 | | | | | | | | GROUND_INST: instantiating (50) with all_26_1, all_65_0, e2, e3,
% 176.74/27.62 | | | | | | | | simplifying with (26174), (26182) gives:
% 176.74/27.62 | | | | | | | | (26189) all_65_0 = all_26_1
% 176.74/27.62 | | | | | | | |
% 176.74/27.62 | | | | | | | | GROUND_INST: instantiating (50) with all_14_1, all_65_0, e2, e3,
% 176.74/27.62 | | | | | | | | simplifying with (26162), (26174) gives:
% 176.74/27.62 | | | | | | | | (26190) all_65_0 = all_14_1
% 176.74/27.62 | | | | | | | |
% 176.74/27.62 | | | | | | | | COMBINE_EQS: (26189), (26190) imply:
% 176.74/27.62 | | | | | | | | (26191) all_26_1 = all_14_1
% 176.74/27.62 | | | | | | | |
% 176.74/27.62 | | | | | | | | SIMP: (26191) implies:
% 176.74/27.62 | | | | | | | | (26192) all_26_1 = all_14_1
% 176.74/27.62 | | | | | | | |
% 176.74/27.62 | | | | | | | | COMBINE_EQS: (26184), (26186) imply:
% 176.74/27.62 | | | | | | | | (26193) all_61_6 = all_61_9
% 176.74/27.62 | | | | | | | |
% 176.74/27.62 | | | | | | | | SIMP: (26193) implies:
% 176.74/27.62 | | | | | | | | (26194) all_61_6 = all_61_9
% 176.74/27.62 | | | | | | | |
% 176.74/27.62 | | | | | | | | COMBINE_EQS: (26188), (26192) imply:
% 176.74/27.62 | | | | | | | | (26195) all_14_1 = all_6_1
% 176.74/27.62 | | | | | | | |
% 176.74/27.62 | | | | | | | | SIMP: (26195) implies:
% 176.74/27.62 | | | | | | | | (26196) all_14_1 = all_6_1
% 176.74/27.62 | | | | | | | |
% 176.74/27.62 | | | | | | | | REDUCE: (682), (26183) imply:
% 176.74/27.62 | | | | | | | | (26197) op(all_61_3, e3) = all_61_7
% 176.74/27.62 | | | | | | | |
% 176.74/27.62 | | | | | | | | REDUCE: (670), (26194) imply:
% 176.74/27.62 | | | | | | | | (26198) op(all_61_9, e3) = all_65_36
% 176.74/27.62 | | | | | | | |
% 176.74/27.62 | | | | | | | | REDUCE: (25123), (26194) imply:
% 176.74/27.62 | | | | | | | | (26199) op(all_61_9, e2) = all_4_1
% 176.74/27.62 | | | | | | | |
% 176.74/27.62 | | | | | | | | REDUCE: (701), (26185) imply:
% 176.74/27.62 | | | | | | | | (26200) op(e3, all_61_12) = all_61_13
% 176.74/27.62 | | | | | | | |
% 176.74/27.62 | | | | | | | | GROUND_INST: instantiating (50) with all_65_25, all_4_1, e2,
% 176.74/27.62 | | | | | | | | all_61_9, simplifying with (659), (26199) gives:
% 176.74/27.62 | | | | | | | | (26201) all_65_25 = all_4_1
% 176.74/27.62 | | | | | | | |
% 176.74/27.62 | | | | | | | | GROUND_INST: instantiating (50) with all_65_24, all_65_36, e3,
% 176.74/27.62 | | | | | | | | all_61_9, simplifying with (658), (26198) gives:
% 176.74/27.62 | | | | | | | | (26202) all_65_24 = all_65_36
% 176.74/27.62 | | | | | | | |
% 176.74/27.62 | | | | | | | | REDUCE: (25117), (26202) imply:
% 176.74/27.62 | | | | | | | | (26203) op(all_6_1, e1) = all_65_36
% 176.74/27.62 | | | | | | | |
% 176.74/27.62 | | | | | | | | BETA: splitting (77) gives:
% 176.74/27.62 | | | | | | | |
% 176.74/27.62 | | | | | | | | Case 1:
% 176.74/27.62 | | | | | | | | |
% 176.74/27.62 | | | | | | | | | (26204) ~ (all_20_2 = e2)
% 176.74/27.62 | | | | | | | | |
% 176.74/27.62 | | | | | | | | | BETA: splitting (89) gives:
% 176.74/27.62 | | | | | | | | |
% 176.74/27.62 | | | | | | | | | Case 1:
% 176.74/27.62 | | | | | | | | | |
% 176.74/27.62 | | | | | | | | | | (26205) ~ (all_28_2 = e3)
% 176.74/27.62 | | | | | | | | | |
% 176.74/27.62 | | | | | | | | | | REDUCE: (563), (26205) imply:
% 176.74/27.62 | | | | | | | | | | (26206) ~ (all_20_2 = e3)
% 176.74/27.62 | | | | | | | | | |
% 176.74/27.62 | | | | | | | | | | BETA: splitting (110) gives:
% 176.74/27.62 | | | | | | | | | |
% 176.74/27.62 | | | | | | | | | | Case 1:
% 176.74/27.62 | | | | | | | | | | |
% 176.74/27.62 | | | | | | | | | | | (26207) ~ (all_42_2 = e1)
% 176.74/27.62 | | | | | | | | | | |
% 176.74/27.62 | | | | | | | | | | | REDUCE: (532), (26207) imply:
% 176.74/27.62 | | | | | | | | | | | (26208) ~ (all_20_2 = e1)
% 176.74/27.62 | | | | | | | | | | |
% 176.74/27.62 | | | | | | | | | | | BETA: splitting (256) gives:
% 176.74/27.62 | | | | | | | | | | |
% 176.74/27.62 | | | | | | | | | | | Case 1:
% 176.74/27.62 | | | | | | | | | | | |
% 176.74/27.62 | | | | | | | | | | | | (26209) all_63_15 = e3
% 176.74/27.62 | | | | | | | | | | | |
% 176.74/27.62 | | | | | | | | | | | | COMBINE_EQS: (422), (26209) imply:
% 176.74/27.62 | | | | | | | | | | | | (26210) all_20_2 = e3
% 176.74/27.62 | | | | | | | | | | | |
% 176.74/27.62 | | | | | | | | | | | | REDUCE: (26206), (26210) imply:
% 176.74/27.62 | | | | | | | | | | | | (26211) $false
% 176.74/27.62 | | | | | | | | | | | |
% 176.74/27.62 | | | | | | | | | | | | CLOSE: (26211) is inconsistent.
% 176.74/27.62 | | | | | | | | | | | |
% 176.74/27.62 | | | | | | | | | | | Case 2:
% 176.74/27.62 | | | | | | | | | | | |
% 176.74/27.62 | | | | | | | | | | | | (26212) all_63_15 = e2 | all_63_15 = e1 | all_63_15 = e0
% 176.74/27.62 | | | | | | | | | | | |
% 176.74/27.62 | | | | | | | | | | | | BETA: splitting (26212) gives:
% 176.74/27.62 | | | | | | | | | | | |
% 176.74/27.62 | | | | | | | | | | | | Case 1:
% 176.74/27.62 | | | | | | | | | | | | |
% 176.74/27.62 | | | | | | | | | | | | | (26213) all_63_15 = e2
% 176.74/27.62 | | | | | | | | | | | | |
% 176.74/27.62 | | | | | | | | | | | | | COMBINE_EQS: (422), (26213) imply:
% 176.74/27.62 | | | | | | | | | | | | | (26214) all_20_2 = e2
% 176.74/27.62 | | | | | | | | | | | | |
% 176.74/27.62 | | | | | | | | | | | | | REDUCE: (26204), (26214) imply:
% 176.74/27.62 | | | | | | | | | | | | | (26215) $false
% 176.74/27.62 | | | | | | | | | | | | |
% 176.74/27.62 | | | | | | | | | | | | | CLOSE: (26215) is inconsistent.
% 176.74/27.62 | | | | | | | | | | | | |
% 176.74/27.62 | | | | | | | | | | | | Case 2:
% 176.74/27.62 | | | | | | | | | | | | |
% 176.74/27.62 | | | | | | | | | | | | | (26216) all_63_15 = e1 | all_63_15 = e0
% 176.74/27.62 | | | | | | | | | | | | |
% 176.74/27.62 | | | | | | | | | | | | | BETA: splitting (26216) gives:
% 176.74/27.62 | | | | | | | | | | | | |
% 176.74/27.62 | | | | | | | | | | | | | Case 1:
% 176.74/27.62 | | | | | | | | | | | | | |
% 176.74/27.62 | | | | | | | | | | | | | | (26217) all_63_15 = e1
% 176.74/27.62 | | | | | | | | | | | | | |
% 176.74/27.62 | | | | | | | | | | | | | | COMBINE_EQS: (422), (26217) imply:
% 176.74/27.62 | | | | | | | | | | | | | | (26218) all_20_2 = e1
% 176.74/27.62 | | | | | | | | | | | | | |
% 176.74/27.62 | | | | | | | | | | | | | | REDUCE: (26208), (26218) imply:
% 176.74/27.62 | | | | | | | | | | | | | | (26219) $false
% 176.74/27.62 | | | | | | | | | | | | | |
% 176.74/27.62 | | | | | | | | | | | | | | CLOSE: (26219) is inconsistent.
% 176.74/27.62 | | | | | | | | | | | | | |
% 176.74/27.62 | | | | | | | | | | | | | Case 2:
% 176.74/27.62 | | | | | | | | | | | | | |
% 176.74/27.62 | | | | | | | | | | | | | | (26220) all_63_15 = e0
% 176.74/27.62 | | | | | | | | | | | | | |
% 176.74/27.62 | | | | | | | | | | | | | | COMBINE_EQS: (422), (26220) imply:
% 176.74/27.62 | | | | | | | | | | | | | | (26221) all_20_2 = e0
% 176.74/27.62 | | | | | | | | | | | | | |
% 176.74/27.62 | | | | | | | | | | | | | | REDUCE: (627), (26221) imply:
% 176.74/27.62 | | | | | | | | | | | | | | (26222) ~ (all_61_14 = e0)
% 176.74/27.62 | | | | | | | | | | | | | |
% 176.74/27.62 | | | | | | | | | | | | | | REDUCE: (696), (26221) imply:
% 176.74/27.62 | | | | | | | | | | | | | | (26223) op(e0, e1) = all_65_77
% 176.74/27.62 | | | | | | | | | | | | | |
% 176.74/27.62 | | | | | | | | | | | | | | REDUCE: (747), (26221) imply:
% 176.74/27.62 | | | | | | | | | | | | | | (26224) op(e1, e0) = all_65_47
% 176.74/27.62 | | | | | | | | | | | | | |
% 176.74/27.62 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_11, all_65_77, e1,
% 176.74/27.62 | | | | | | | | | | | | | | e0, simplifying with (224), (26223) gives:
% 176.74/27.62 | | | | | | | | | | | | | | (26225) all_65_77 = all_61_11
% 176.74/27.62 | | | | | | | | | | | | | |
% 176.74/27.62 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_14, all_65_47, e0,
% 176.74/27.62 | | | | | | | | | | | | | | e1, simplifying with (227), (26224) gives:
% 176.74/27.63 | | | | | | | | | | | | | | (26226) all_65_47 = all_61_14
% 176.74/27.63 | | | | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | | | | | REDUCE: (681), (26226) imply:
% 176.74/27.63 | | | | | | | | | | | | | | (26227) op(all_61_14, e0) = all_61_14
% 176.74/27.63 | | | | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | | | | | BETA: splitting (162) gives:
% 176.74/27.63 | | | | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | | | | | Case 1:
% 176.74/27.63 | | | | | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | | | | | | (26228) ~ (all_58_2 = e3)
% 176.74/27.63 | | | | | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | | | | | | REDUCE: (478), (26228) imply:
% 176.74/27.63 | | | | | | | | | | | | | | | (26229) ~ (all_52_2 = e3)
% 176.74/27.63 | | | | | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | | | | | | BETA: splitting (157) gives:
% 176.74/27.63 | | | | | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | | | | | | Case 1:
% 176.74/27.63 | | | | | | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | | | | | | | (26230) ~ (all_58_3 = e1)
% 176.74/27.63 | | | | | | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | | | | | | | REDUCE: (475), (26230) imply:
% 176.74/27.63 | | | | | | | | | | | | | | | | (26231) ~ (all_52_3 = e1)
% 176.74/27.63 | | | | | | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | | | | | | | BETA: splitting (160) gives:
% 176.74/27.63 | | | | | | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | | | | | | | Case 1:
% 176.74/27.63 | | | | | | | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | | | | | | | | (26232) ~ (all_58_2 = e0)
% 176.74/27.63 | | | | | | | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | | | | | | | | REDUCE: (478), (26232) imply:
% 176.74/27.63 | | | | | | | | | | | | | | | | | (26233) ~ (all_52_2 = e0)
% 176.74/27.63 | | | | | | | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | | | | | | | | BETA: splitting (164) gives:
% 176.74/27.63 | | | | | | | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | | | | | | | | Case 1:
% 176.74/27.63 | | | | | | | | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | | | | | | | | | (26234) ~ (all_58_1 = e1)
% 176.74/27.63 | | | | | | | | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | | | | | | | | | REDUCE: (481), (26234) imply:
% 176.74/27.63 | | | | | | | | | | | | | | | | | | (26235) ~ (all_52_1 = e1)
% 176.74/27.63 | | | | | | | | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | | | | | | | | | BETA: splitting (161) gives:
% 176.74/27.63 | | | | | | | | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | | | | | | | | | Case 1:
% 176.74/27.63 | | | | | | | | | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | | | | | | | | | | (26236) ~ (all_58_2 = e2)
% 176.74/27.63 | | | | | | | | | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | | | | | | | | | | REDUCE: (478), (26236) imply:
% 176.74/27.63 | | | | | | | | | | | | | | | | | | | (26237) ~ (all_52_2 = e2)
% 176.74/27.63 | | | | | | | | | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (50), (149), (538), (748), (21466), (25570),
% 176.74/27.63 | | | | | | | | | | | | | | | | | | | (26229), (26233), (26237) are inconsistent by
% 176.74/27.63 | | | | | | | | | | | | | | | | | | | sub-proof #54.
% 176.74/27.63 | | | | | | | | | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | | | | | | | | | Case 2:
% 176.74/27.63 | | | | | | | | | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | | | | | | | | | | (26238) all_58_1 = e1
% 176.74/27.63 | | | | | | | | | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (481), (26235), (26238) are inconsistent by
% 176.74/27.63 | | | | | | | | | | | | | | | | | | | sub-proof #424.
% 176.74/27.63 | | | | | | | | | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | | | | | | | | | End of split
% 176.74/27.63 | | | | | | | | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | | | | | | | | Case 2:
% 176.74/27.63 | | | | | | | | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | | | | | | | | | (26239) all_58_1 = e1
% 176.74/27.63 | | | | | | | | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (50), (232), (481), (731), (26170), (26199),
% 176.74/27.63 | | | | | | | | | | | | | | | | | | (26239) are inconsistent by sub-proof #1.
% 176.74/27.63 | | | | | | | | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | | | | | | | | End of split
% 176.74/27.63 | | | | | | | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | | | | | | | Case 2:
% 176.74/27.63 | | | | | | | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | | | | | | | | (26240) all_58_3 = e1
% 176.74/27.63 | | | | | | | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | | | | | | | | REF_CLOSE: (475), (26231), (26240) are inconsistent by
% 176.74/27.63 | | | | | | | | | | | | | | | | | sub-proof #460.
% 176.74/27.63 | | | | | | | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | | | | | | | End of split
% 176.74/27.63 | | | | | | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | | | | | | Case 2:
% 176.74/27.63 | | | | | | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | | | | | | | (26241) all_58_3 = e1
% 176.74/27.63 | | | | | | | | | | | | | | | | (26242) all_58_2 = e0
% 176.74/27.63 | | | | | | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | | | | | | | COMBINE_EQS: (478), (26242) imply:
% 176.74/27.63 | | | | | | | | | | | | | | | | (26243) all_52_2 = e0
% 176.74/27.63 | | | | | | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | | | | | | | SIMP: (26243) implies:
% 176.74/27.63 | | | | | | | | | | | | | | | | (26244) all_52_2 = e0
% 176.74/27.63 | | | | | | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | | | | | | | REF_CLOSE: (7), (50), (224), (227), (475), (693), (748),
% 176.74/27.63 | | | | | | | | | | | | | | | | (765), (26222), (26227), (26241), (26244) are
% 176.74/27.63 | | | | | | | | | | | | | | | | inconsistent by sub-proof #48.
% 176.74/27.63 | | | | | | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | | | | | | End of split
% 176.74/27.63 | | | | | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | | | | | Case 2:
% 176.74/27.63 | | | | | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | | | | | | (26245) all_58_0 = e1
% 176.74/27.63 | | | | | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | | | | | | REF_CLOSE: (8), (20), (50), (484), (714), (21521), (26173),
% 176.74/27.63 | | | | | | | | | | | | | | | (26245) are inconsistent by sub-proof #21.
% 176.74/27.63 | | | | | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | | | | | End of split
% 176.74/27.63 | | | | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | | | | End of split
% 176.74/27.63 | | | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | | | End of split
% 176.74/27.63 | | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | | End of split
% 176.74/27.63 | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | Case 2:
% 176.74/27.63 | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | | (26246) all_42_2 = e1
% 176.74/27.63 | | | | | | | | | | | (26247) op(e0, e1) = all_42_1 & $i(all_42_1) & ( ~
% 176.74/27.63 | | | | | | | | | | | (all_42_1 = e3) | ( ~ (all_42_0 = e2) & op(e3,
% 176.74/27.63 | | | | | | | | | | | e0) = all_42_0 & $i(all_42_0)))
% 176.74/27.63 | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | | ALPHA: (26247) implies:
% 176.74/27.63 | | | | | | | | | | | (26248) op(e0, e1) = all_42_1
% 176.74/27.63 | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | | COMBINE_EQS: (532), (26246) imply:
% 176.74/27.63 | | | | | | | | | | | (26249) all_20_2 = e1
% 176.74/27.63 | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | | SIMP: (26249) implies:
% 176.74/27.63 | | | | | | | | | | | (26250) all_20_2 = e1
% 176.74/27.63 | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | | REDUCE: (696), (26250) imply:
% 176.74/27.63 | | | | | | | | | | | (26251) op(e1, e1) = all_65_77
% 176.74/27.63 | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | | REDUCE: (697), (26250) imply:
% 176.74/27.63 | | | | | | | | | | | (26252) op(e1, e0) = all_65_78
% 176.74/27.63 | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | | REDUCE: (730), (26250) imply:
% 176.74/27.63 | | | | | | | | | | | (26253) op(e2, e1) = all_65_31
% 176.74/27.63 | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | | REDUCE: (747), (26250) imply:
% 176.74/27.63 | | | | | | | | | | | (26254) op(e1, e1) = all_65_47
% 176.74/27.63 | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | | REDUCE: (764), (26250) imply:
% 176.74/27.63 | | | | | | | | | | | (26255) op(e0, e1) = all_65_78
% 176.74/27.63 | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | | REDUCE: (76), (26250) imply:
% 176.74/27.63 | | | | | | | | | | | (26256) op(e0, e0) = e1
% 176.74/27.63 | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_11, all_65_78, e1,
% 176.74/27.63 | | | | | | | | | | | e0, simplifying with (224), (26255) gives:
% 176.74/27.63 | | | | | | | | | | | (26257) all_65_78 = all_61_11
% 176.74/27.63 | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | | GROUND_INST: instantiating (50) with all_42_1, all_65_78, e1,
% 176.74/27.63 | | | | | | | | | | | e0, simplifying with (26248), (26255) gives:
% 176.74/27.63 | | | | | | | | | | | (26258) all_65_78 = all_42_1
% 176.74/27.63 | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_14, all_65_78, e0,
% 176.74/27.63 | | | | | | | | | | | e1, simplifying with (227), (26252) gives:
% 176.74/27.63 | | | | | | | | | | | (26259) all_65_78 = all_61_14
% 176.74/27.63 | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | | GROUND_INST: instantiating (50) with e3, all_65_47, e1, e1,
% 176.74/27.63 | | | | | | | | | | | simplifying with (21466), (26254) gives:
% 176.74/27.63 | | | | | | | | | | | (26260) all_65_47 = e3
% 176.74/27.63 | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_77, all_65_47, e1,
% 176.74/27.63 | | | | | | | | | | | e1, simplifying with (26251), (26254) gives:
% 176.74/27.63 | | | | | | | | | | | (26261) all_65_47 = all_65_77
% 176.74/27.63 | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_9, all_65_31, e1,
% 176.74/27.63 | | | | | | | | | | | e2, simplifying with (232), (26253) gives:
% 176.74/27.63 | | | | | | | | | | | (26262) all_65_31 = all_61_9
% 176.74/27.63 | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | | COMBINE_EQS: (26260), (26261) imply:
% 176.74/27.63 | | | | | | | | | | | (26263) all_65_77 = e3
% 176.74/27.63 | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | | COMBINE_EQS: (26257), (26258) imply:
% 176.74/27.63 | | | | | | | | | | | (26264) all_61_11 = all_42_1
% 176.74/27.63 | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | | SIMP: (26264) implies:
% 176.74/27.63 | | | | | | | | | | | (26265) all_61_11 = all_42_1
% 176.74/27.63 | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | | COMBINE_EQS: (26258), (26259) imply:
% 176.74/27.63 | | | | | | | | | | | (26266) all_61_14 = all_42_1
% 176.74/27.63 | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | | SIMP: (26266) implies:
% 176.74/27.63 | | | | | | | | | | | (26267) all_61_14 = all_42_1
% 176.74/27.63 | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | | REDUCE: (21518), (26265) imply:
% 176.74/27.63 | | | | | | | | | | | (26268) op(all_42_1, e1) = all_61_3
% 176.74/27.63 | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | | REDUCE: (693), (26265) imply:
% 176.74/27.63 | | | | | | | | | | | (26269) op(all_42_1, e0) = all_65_71
% 176.74/27.63 | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | | REDUCE: (680), (26267) imply:
% 176.74/27.63 | | | | | | | | | | | (26270) op(all_42_1, e1) = all_65_46
% 176.74/27.63 | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | | REDUCE: (681), (26260), (26267) imply:
% 176.74/27.63 | | | | | | | | | | | (26271) op(all_42_1, e0) = e3
% 176.74/27.63 | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | | REDUCE: (746), (26265) imply:
% 176.74/27.63 | | | | | | | | | | | (26272) op(e1, all_42_1) = all_65_46
% 176.74/27.63 | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | | REDUCE: (21525), (26267) imply:
% 176.74/27.63 | | | | | | | | | | | (26273) op(e1, all_42_1) = all_61_12
% 176.74/27.63 | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | | REDUCE: (227), (26267) imply:
% 176.74/27.63 | | | | | | | | | | | (26274) op(e1, e0) = all_42_1
% 176.74/27.63 | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_12, all_65_46,
% 176.74/27.63 | | | | | | | | | | | all_42_1, e1, simplifying with (26272), (26273)
% 176.74/27.63 | | | | | | | | | | | gives:
% 176.74/27.63 | | | | | | | | | | | (26275) all_65_46 = all_61_12
% 176.74/27.63 | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | | GROUND_INST: instantiating (50) with e3, all_65_71, e0,
% 176.74/27.63 | | | | | | | | | | | all_42_1, simplifying with (26269), (26271) gives:
% 176.74/27.63 | | | | | | | | | | | (26276) all_65_71 = e3
% 176.74/27.63 | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_3, all_65_46, e1,
% 176.74/27.63 | | | | | | | | | | | all_42_1, simplifying with (26268), (26270) gives:
% 176.74/27.63 | | | | | | | | | | | (26277) all_65_46 = all_61_3
% 176.74/27.63 | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | | COMBINE_EQS: (26275), (26277) imply:
% 176.74/27.63 | | | | | | | | | | | (26278) all_61_3 = all_61_12
% 176.74/27.63 | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | | REDUCE: (26197), (26278) imply:
% 176.74/27.63 | | | | | | | | | | | (26279) op(all_61_12, e3) = all_61_7
% 176.74/27.63 | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | | REDUCE: (25124), (26278) imply:
% 176.74/27.63 | | | | | | | | | | | (26280) op(all_61_7, e2) = all_61_12
% 176.74/27.63 | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | | REDUCE: (710), (26278) imply:
% 176.74/27.63 | | | | | | | | | | | (26281) op(e3, all_61_12) = all_65_12
% 176.74/27.63 | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | | REDUCE: (727), (26278) imply:
% 176.74/27.63 | | | | | | | | | | | (26282) op(e2, all_61_12) = all_65_28
% 176.74/27.63 | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_19, all_65_28,
% 176.74/27.63 | | | | | | | | | | | all_61_12, e2, simplifying with (718), (26282)
% 176.74/27.63 | | | | | | | | | | | gives:
% 176.74/27.63 | | | | | | | | | | | (26283) all_65_19 = all_65_28
% 176.74/27.63 | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_13, all_65_12,
% 176.74/27.63 | | | | | | | | | | | all_61_12, e3, simplifying with (26200), (26281)
% 176.74/27.63 | | | | | | | | | | | gives:
% 176.74/27.63 | | | | | | | | | | | (26284) all_65_12 = all_61_13
% 176.74/27.63 | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_12, all_61_7, e3,
% 176.74/27.63 | | | | | | | | | | | all_61_12, simplifying with (646), (26279) gives:
% 176.74/27.63 | | | | | | | | | | | (26285) all_65_12 = all_61_7
% 176.74/27.63 | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | | COMBINE_EQS: (26284), (26285) imply:
% 176.74/27.63 | | | | | | | | | | | (26286) all_61_7 = all_61_13
% 176.74/27.63 | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | | REDUCE: (686), (26286) imply:
% 176.74/27.63 | | | | | | | | | | | (26287) op(all_61_13, e3) = all_65_57
% 176.74/27.63 | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | | REDUCE: (26280), (26286) imply:
% 176.74/27.63 | | | | | | | | | | | (26288) op(all_61_13, e2) = all_61_12
% 176.74/27.63 | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | | REDUCE: (25118), (26283) imply:
% 176.74/27.63 | | | | | | | | | | | (26289) op(all_6_1, e0) = all_65_28
% 176.74/27.63 | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_29, all_61_12, e2,
% 176.74/27.63 | | | | | | | | | | | all_61_13, simplifying with (663), (26288) gives:
% 176.74/27.63 | | | | | | | | | | | (26290) all_65_29 = all_61_12
% 176.74/27.63 | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_28, all_65_57, e3,
% 176.74/27.63 | | | | | | | | | | | all_61_13, simplifying with (662), (26287) gives:
% 176.74/27.63 | | | | | | | | | | | (26291) all_65_28 = all_65_57
% 176.74/27.63 | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | | REDUCE: (26289), (26291) imply:
% 176.74/27.63 | | | | | | | | | | | (26292) op(all_6_1, e0) = all_65_57
% 176.74/27.63 | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | | BETA: splitting (161) gives:
% 176.74/27.63 | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | | Case 1:
% 176.74/27.63 | | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | | | (26293) ~ (all_58_2 = e2)
% 176.74/27.63 | | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | | | REDUCE: (478), (26293) imply:
% 176.74/27.63 | | | | | | | | | | | | (26294) ~ (all_52_2 = e2)
% 176.74/27.63 | | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | | | BETA: splitting (164) gives:
% 176.74/27.63 | | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | | | Case 1:
% 176.74/27.63 | | | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | | | | (26295) ~ (all_58_1 = e1)
% 176.74/27.63 | | | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | | | | REDUCE: (481), (26295) imply:
% 176.74/27.63 | | | | | | | | | | | | | (26296) ~ (all_52_1 = e1)
% 176.74/27.63 | | | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | | | | BETA: splitting (165) gives:
% 176.74/27.63 | | | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | | | | Case 1:
% 176.74/27.63 | | | | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | | | | | (26297) ~ (all_58_1 = e3)
% 176.74/27.63 | | | | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | | | | | REDUCE: (481), (26297) imply:
% 176.74/27.63 | | | | | | | | | | | | | | (26298) ~ (all_52_1 = e3)
% 176.74/27.63 | | | | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | | | | | BETA: splitting (168) gives:
% 176.74/27.63 | | | | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | | | | | Case 1:
% 176.74/27.63 | | | | | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | | | | | | (26299) ~ (all_58_0 = e2)
% 176.74/27.63 | | | | | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | | | | | | REDUCE: (484), (26299) imply:
% 176.74/27.63 | | | | | | | | | | | | | | | (26300) ~ (all_52_0 = e2)
% 176.74/27.63 | | | | | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | | | | | | BETA: splitting (163) gives:
% 176.74/27.63 | | | | | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | | | | | | Case 1:
% 176.74/27.63 | | | | | | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | | | | | | | (26301) ~ (all_58_1 = e0)
% 176.74/27.63 | | | | | | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | | | | | | | REDUCE: (481), (26301) imply:
% 176.74/27.63 | | | | | | | | | | | | | | | | (26302) ~ (all_52_1 = e0)
% 176.74/27.63 | | | | | | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | | | | | | | REF_CLOSE: (50), (150), (165), (481), (484), (536), (731),
% 176.74/27.63 | | | | | | | | | | | | | | | | (25079), (25570), (26296), (26300), (26302) are
% 176.74/27.63 | | | | | | | | | | | | | | | | inconsistent by sub-proof #77.
% 176.74/27.63 | | | | | | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | | | | | | Case 2:
% 176.74/27.63 | | | | | | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | | | | | | | (26303) all_58_1 = e0
% 176.74/27.63 | | | | | | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | | | | | | | COMBINE_EQS: (481), (26303) imply:
% 176.74/27.63 | | | | | | | | | | | | | | | | (26304) all_52_1 = e0
% 176.74/27.63 | | | | | | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | | | | | | | SIMP: (26304) implies:
% 176.74/27.63 | | | | | | | | | | | | | | | | (26305) all_52_1 = e0
% 176.74/27.63 | | | | | | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | | | | | | | REDUCE: (731), (26305) imply:
% 176.74/27.63 | | | | | | | | | | | | | | | | (26306) op(e2, e0) = unit
% 176.74/27.63 | | | | | | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | | | | | | | REF_CLOSE: (9), (50), (231), (26166), (26288), (26306) are
% 176.74/27.63 | | | | | | | | | | | | | | | | inconsistent by sub-proof #63.
% 176.74/27.63 | | | | | | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | | | | | | End of split
% 176.74/27.63 | | | | | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | | | | | Case 2:
% 176.74/27.63 | | | | | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | | | | | | (26307) all_58_1 = e3
% 176.74/27.63 | | | | | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | | | | | | REF_CLOSE: (481), (26298), (26307) are inconsistent by
% 176.74/27.63 | | | | | | | | | | | | | | | sub-proof #511.
% 176.74/27.63 | | | | | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | | | | | End of split
% 176.74/27.63 | | | | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | | | | Case 2:
% 176.74/27.63 | | | | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | | | | | (26308) all_58_1 = e3
% 176.74/27.63 | | | | | | | | | | | | | | (26309) all_58_0 = e2
% 176.74/27.63 | | | | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | | | | | COMBINE_EQS: (484), (26309) imply:
% 176.74/27.63 | | | | | | | | | | | | | | (26310) all_52_0 = e2
% 176.74/27.63 | | | | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | | | | | SIMP: (26310) implies:
% 176.74/27.63 | | | | | | | | | | | | | | (26311) all_52_0 = e2
% 176.74/27.63 | | | | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | | | | | COMBINE_EQS: (481), (26308) imply:
% 176.74/27.63 | | | | | | | | | | | | | | (26312) all_52_1 = e3
% 176.74/27.63 | | | | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | | | | | SIMP: (26312) implies:
% 176.74/27.63 | | | | | | | | | | | | | | (26313) all_52_1 = e3
% 176.74/27.63 | | | | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | | | | | REDUCE: (630), (26311) imply:
% 176.74/27.63 | | | | | | | | | | | | | | (26314) ~ (all_52_3 = e2)
% 176.74/27.63 | | | | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | | | | | SIMP: (26314) implies:
% 176.74/27.63 | | | | | | | | | | | | | | (26315) ~ (all_52_3 = e2)
% 176.74/27.63 | | | | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | | | | | REDUCE: (631), (26313) imply:
% 176.74/27.63 | | | | | | | | | | | | | | (26316) ~ (all_52_2 = e3)
% 176.74/27.63 | | | | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | | | | | SIMP: (26316) implies:
% 176.74/27.63 | | | | | | | | | | | | | | (26317) ~ (all_52_2 = e3)
% 176.74/27.63 | | | | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | | | | | REDUCE: (632), (26313) imply:
% 176.74/27.63 | | | | | | | | | | | | | | (26318) ~ (all_52_3 = e3)
% 176.74/27.63 | | | | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | | | | | SIMP: (26318) implies:
% 176.74/27.63 | | | | | | | | | | | | | | (26319) ~ (all_52_3 = e3)
% 176.74/27.63 | | | | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | | | | | REDUCE: (714), (26311) imply:
% 176.74/27.63 | | | | | | | | | | | | | | (26320) op(e3, e2) = unit
% 176.74/27.63 | | | | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_6_1, unit, e2, e3,
% 176.74/27.63 | | | | | | | | | | | | | | simplifying with (25128), (26320) gives:
% 176.74/27.63 | | | | | | | | | | | | | | (26321) all_6_1 = unit
% 176.74/27.63 | | | | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | | | | | REDUCE: (26203), (26321) imply:
% 176.74/27.63 | | | | | | | | | | | | | | (26322) op(unit, e1) = all_65_36
% 176.74/27.63 | | | | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | | | | | REDUCE: (26292), (26321) imply:
% 176.74/27.63 | | | | | | | | | | | | | | (26323) op(unit, e0) = all_65_57
% 176.74/27.63 | | | | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | | | | | REDUCE: (25131), (26321) imply:
% 176.74/27.63 | | | | | | | | | | | | | | (26324) op(e1, unit) = all_65_36
% 176.74/27.63 | | | | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e0, all_65_57, e0, unit,
% 176.74/27.63 | | | | | | | | | | | | | | simplifying with (7), (26323) gives:
% 176.74/27.63 | | | | | | | | | | | | | | (26325) all_65_57 = e0
% 176.74/27.63 | | | | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e1, all_65_36, e1, unit,
% 176.74/27.63 | | | | | | | | | | | | | | simplifying with (8), (26322) gives:
% 176.74/27.63 | | | | | | | | | | | | | | (26326) all_65_36 = e1
% 176.74/27.63 | | | | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | | | | | BETA: splitting (157) gives:
% 176.74/27.63 | | | | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | | | | | Case 1:
% 176.74/27.63 | | | | | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | | | | | | (26327) ~ (all_58_3 = e1)
% 176.74/27.63 | | | | | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | | | | | | REDUCE: (475), (26327) imply:
% 176.74/27.63 | | | | | | | | | | | | | | | (26328) ~ (all_52_3 = e1)
% 176.74/27.63 | | | | | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | | | | | | REF_CLOSE: (4), (50), (148), (539), (765), (21466), (25570),
% 176.74/27.63 | | | | | | | | | | | | | | | (26256), (26315), (26319), (26328) are
% 176.74/27.63 | | | | | | | | | | | | | | | inconsistent by sub-proof #18.
% 176.74/27.63 | | | | | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | | | | | Case 2:
% 176.74/27.63 | | | | | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | | | | | | (26329) all_58_2 = e0
% 176.74/27.63 | | | | | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | | | | | | COMBINE_EQS: (478), (26329) imply:
% 176.74/27.63 | | | | | | | | | | | | | | | (26330) all_52_2 = e0
% 176.74/27.63 | | | | | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | | | | | | SIMP: (26330) implies:
% 176.74/27.63 | | | | | | | | | | | | | | | (26331) all_52_2 = e0
% 176.74/27.63 | | | | | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | | | | | | REDUCE: (26317), (26331) imply:
% 176.74/27.63 | | | | | | | | | | | | | | | (26332) ~ (e3 = e0)
% 176.74/27.63 | | | | | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | | | | | | REDUCE: (748), (26331) imply:
% 176.74/27.63 | | | | | | | | | | | | | | | (26333) op(e1, e0) = unit
% 176.74/27.63 | | | | | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | | | | | | REF_CLOSE: (7), (21), (50), (26271), (26274), (26333) are
% 176.74/27.63 | | | | | | | | | | | | | | | inconsistent by sub-proof #38.
% 176.74/27.63 | | | | | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | | | | | End of split
% 176.74/27.63 | | | | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | | | | End of split
% 176.74/27.63 | | | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | | | Case 2:
% 176.74/27.63 | | | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | | | | (26334) all_58_2 = e2
% 176.74/27.63 | | | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | | | | REF_CLOSE: (478), (26294), (26334) are inconsistent by
% 176.74/27.63 | | | | | | | | | | | | | sub-proof #433.
% 176.74/27.63 | | | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | | | End of split
% 176.74/27.63 | | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | | Case 2:
% 176.74/27.63 | | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | | | (26335) all_58_1 = e1
% 176.74/27.63 | | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | | | REF_CLOSE: (9), (50), (232), (481), (731), (26170), (26199),
% 176.74/27.63 | | | | | | | | | | | | (26335) are inconsistent by sub-proof #1.
% 176.74/27.63 | | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | | End of split
% 176.74/27.63 | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | End of split
% 176.74/27.63 | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | Case 2:
% 176.74/27.63 | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | (26336) all_28_2 = e3
% 176.74/27.63 | | | | | | | | | | (26337) op(e0, e3) = all_28_1 & $i(all_28_1) & ( ~
% 176.74/27.63 | | | | | | | | | | (all_28_1 = e2) | ( ~ (all_28_0 = e1) & op(e2,
% 176.74/27.63 | | | | | | | | | | e0) = all_28_0 & $i(all_28_0)))
% 176.74/27.63 | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | ALPHA: (26337) implies:
% 176.74/27.63 | | | | | | | | | | (26338) op(e0, e3) = all_28_1
% 176.74/27.63 | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | COMBINE_EQS: (563), (26336) imply:
% 176.74/27.63 | | | | | | | | | | (26339) all_20_2 = e3
% 176.74/27.63 | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | SIMP: (26339) implies:
% 176.74/27.63 | | | | | | | | | | (26340) all_20_2 = e3
% 176.74/27.63 | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | COMBINE_EQS: (555), (26340) imply:
% 176.74/27.63 | | | | | | | | | | (26341) all_34_2 = e3
% 176.74/27.63 | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | REDUCE: (694), (26340) imply:
% 176.74/27.63 | | | | | | | | | | (26342) op(e3, e3) = all_65_73
% 176.74/27.63 | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | REDUCE: (697), (26340) imply:
% 176.74/27.63 | | | | | | | | | | (26343) op(e3, e0) = all_65_78
% 176.74/27.63 | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | REDUCE: (713), (26340) imply:
% 176.74/27.63 | | | | | | | | | | (26344) op(e3, e3) = all_65_15
% 176.74/27.63 | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | REDUCE: (747), (26340) imply:
% 176.74/27.63 | | | | | | | | | | (26345) op(e1, e3) = all_65_47
% 176.74/27.63 | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | REDUCE: (764), (26340) imply:
% 176.74/27.63 | | | | | | | | | | (26346) op(e0, e3) = all_65_78
% 176.74/27.63 | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | REDUCE: (76), (26340) imply:
% 176.74/27.63 | | | | | | | | | | (26347) op(e0, e0) = e3
% 176.74/27.63 | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | BETA: splitting (98) gives:
% 176.74/27.63 | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | Case 1:
% 176.74/27.63 | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | | (26348) ~ (all_34_2 = e3)
% 176.74/27.63 | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | | REDUCE: (26341), (26348) imply:
% 176.74/27.63 | | | | | | | | | | | (26349) $false
% 176.74/27.63 | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | | CLOSE: (26349) is inconsistent.
% 176.74/27.63 | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | Case 2:
% 176.74/27.63 | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | | (26350) op(e0, e3) = all_34_1 & $i(all_34_1) & ( ~
% 176.74/27.63 | | | | | | | | | | | (all_34_1 = e1) | ( ~ (all_34_0 = e2) & op(e1,
% 176.74/27.63 | | | | | | | | | | | e0) = all_34_0 & $i(all_34_0)))
% 176.74/27.63 | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | | ALPHA: (26350) implies:
% 176.74/27.63 | | | | | | | | | | | (26351) op(e0, e3) = all_34_1
% 176.74/27.63 | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | | BETA: splitting (173) gives:
% 176.74/27.63 | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | | Case 1:
% 176.74/27.63 | | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | | | (26352) ( ~ (all_60_0 = e3) & op(e3, e3) = all_60_0 &
% 176.74/27.63 | | | | | | | | | | | | $i(all_60_0)) | ( ~ (all_60_1 = e3) & op(e2, e2)
% 176.74/27.63 | | | | | | | | | | | | = all_60_1 & $i(all_60_1))
% 176.74/27.63 | | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | | | BETA: splitting (26352) gives:
% 176.74/27.63 | | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | | | Case 1:
% 176.74/27.63 | | | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | | | | (26353) ~ (all_60_0 = e3) & op(e3, e3) = all_60_0 &
% 176.74/27.63 | | | | | | | | | | | | | $i(all_60_0)
% 176.74/27.63 | | | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | | | | ALPHA: (26353) implies:
% 176.74/27.63 | | | | | | | | | | | | | (26354) op(e3, e3) = all_60_0
% 176.74/27.63 | | | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_3, all_28_1, e3,
% 176.74/27.63 | | | | | | | | | | | | | e0, simplifying with (226), (26338) gives:
% 176.74/27.63 | | | | | | | | | | | | | (26355) all_61_3 = all_28_1
% 176.74/27.63 | | | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_3, all_65_78, e3,
% 176.74/27.63 | | | | | | | | | | | | | e0, simplifying with (226), (26346) gives:
% 176.74/27.63 | | | | | | | | | | | | | (26356) all_65_78 = all_61_3
% 176.74/27.63 | | | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_34_1, all_65_78, e3,
% 176.74/27.63 | | | | | | | | | | | | | e0, simplifying with (26346), (26351) gives:
% 176.74/27.63 | | | | | | | | | | | | | (26357) all_65_78 = all_34_1
% 176.74/27.63 | | | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_4_1, all_65_47, e3,
% 176.74/27.63 | | | | | | | | | | | | | e1, simplifying with (21451), (26345) gives:
% 176.74/27.63 | | | | | | | | | | | | | (26358) all_65_47 = all_4_1
% 176.74/27.63 | | | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_12, all_65_78, e0,
% 176.74/27.63 | | | | | | | | | | | | | e3, simplifying with (235), (26343) gives:
% 176.74/27.63 | | | | | | | | | | | | | (26359) all_65_78 = all_61_12
% 176.74/27.63 | | | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e2, all_65_73, e3, e3,
% 176.74/27.63 | | | | | | | | | | | | | simplifying with (26175), (26342) gives:
% 176.74/27.63 | | | | | | | | | | | | | (26360) all_65_73 = e2
% 176.74/27.63 | | | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_73, all_65_15, e3,
% 176.74/27.63 | | | | | | | | | | | | | e3, simplifying with (26342), (26344) gives:
% 176.74/27.63 | | | | | | | | | | | | | (26361) all_65_15 = all_65_73
% 176.74/27.63 | | | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_60_0, all_65_15, e3,
% 176.74/27.63 | | | | | | | | | | | | | e3, simplifying with (26344), (26354) gives:
% 176.74/27.63 | | | | | | | | | | | | | (26362) all_65_15 = all_60_0
% 176.74/27.63 | | | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | | | | COMBINE_EQS: (26361), (26362) imply:
% 176.74/27.63 | | | | | | | | | | | | | (26363) all_65_73 = all_60_0
% 176.74/27.63 | | | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | | | | SIMP: (26363) implies:
% 176.74/27.63 | | | | | | | | | | | | | (26364) all_65_73 = all_60_0
% 176.74/27.63 | | | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | | | | COMBINE_EQS: (26360), (26364) imply:
% 176.74/27.63 | | | | | | | | | | | | | (26365) all_60_0 = e2
% 176.74/27.63 | | | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | | | | COMBINE_EQS: (26356), (26357) imply:
% 176.74/27.63 | | | | | | | | | | | | | (26366) all_61_3 = all_34_1
% 176.74/27.63 | | | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | | | | SIMP: (26366) implies:
% 176.74/27.63 | | | | | | | | | | | | | (26367) all_61_3 = all_34_1
% 176.74/27.63 | | | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | | | | COMBINE_EQS: (26357), (26359) imply:
% 176.74/27.63 | | | | | | | | | | | | | (26368) all_61_12 = all_34_1
% 176.74/27.63 | | | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | | | | SIMP: (26368) implies:
% 176.74/27.63 | | | | | | | | | | | | | (26369) all_61_12 = all_34_1
% 176.74/27.63 | | | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | | | | COMBINE_EQS: (26355), (26367) imply:
% 176.74/27.63 | | | | | | | | | | | | | (26370) all_34_1 = all_28_1
% 176.74/27.63 | | | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | | | | COMBINE_EQS: (26369), (26370) imply:
% 176.74/27.63 | | | | | | | | | | | | | (26371) all_61_12 = all_28_1
% 176.74/27.63 | | | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | | | | COMBINE_EQS: (26362), (26365) imply:
% 176.74/27.63 | | | | | | | | | | | | | (26372) all_65_15 = e2
% 176.74/27.63 | | | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | | | | REDUCE: (26166), (26371) imply:
% 176.74/27.63 | | | | | | | | | | | | | (26373) ~ (all_28_1 = e2)
% 176.74/27.63 | | | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | | | | REDUCE: (26197), (26355) imply:
% 176.74/27.63 | | | | | | | | | | | | | (26374) op(all_28_1, e3) = all_61_7
% 176.74/27.63 | | | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | | | | REDUCE: (685), (26355) imply:
% 176.74/27.63 | | | | | | | | | | | | | (26375) op(all_28_1, e0) = all_65_55
% 176.74/27.63 | | | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | | | | REDUCE: (25124), (26355) imply:
% 176.74/27.63 | | | | | | | | | | | | | (26376) op(all_61_7, e2) = all_28_1
% 176.74/27.63 | | | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | | | | REDUCE: (21518), (26355) imply:
% 176.74/27.63 | | | | | | | | | | | | | (26377) op(all_61_11, e1) = all_28_1
% 176.74/27.63 | | | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | | | | REDUCE: (646), (26371) imply:
% 176.74/27.63 | | | | | | | | | | | | | (26378) op(all_28_1, e3) = all_65_12
% 176.74/27.63 | | | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | | | | REDUCE: (649), (26371), (26372) imply:
% 176.74/27.63 | | | | | | | | | | | | | (26379) op(all_28_1, e0) = e2
% 176.74/27.63 | | | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | | | | REDUCE: (681), (26358) imply:
% 176.74/27.63 | | | | | | | | | | | | | (26380) op(all_61_14, e0) = all_4_1
% 176.74/27.63 | | | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | | | | REDUCE: (710), (26355) imply:
% 176.74/27.63 | | | | | | | | | | | | | (26381) op(e3, all_28_1) = all_65_12
% 176.74/27.63 | | | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | | | | REDUCE: (26200), (26371) imply:
% 176.74/27.63 | | | | | | | | | | | | | (26382) op(e3, all_28_1) = all_61_13
% 176.74/27.63 | | | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | | | | REDUCE: (752), (26371) imply:
% 176.74/27.63 | | | | | | | | | | | | | (26383) op(e0, all_28_1) = all_65_55
% 176.74/27.63 | | | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_13, all_65_12,
% 176.74/27.63 | | | | | | | | | | | | | all_28_1, e3, simplifying with (26381), (26382)
% 176.74/27.63 | | | | | | | | | | | | | gives:
% 176.74/27.63 | | | | | | | | | | | | | (26384) all_65_12 = all_61_13
% 176.74/27.63 | | | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e2, all_65_55, e0,
% 176.74/27.63 | | | | | | | | | | | | | all_28_1, simplifying with (26375), (26379) gives:
% 176.74/27.63 | | | | | | | | | | | | | (26385) all_65_55 = e2
% 176.74/27.63 | | | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_7, all_65_12, e3,
% 176.74/27.63 | | | | | | | | | | | | | all_28_1, simplifying with (26374), (26378) gives:
% 176.74/27.63 | | | | | | | | | | | | | (26386) all_65_12 = all_61_7
% 176.74/27.63 | | | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | | | | COMBINE_EQS: (26384), (26386) imply:
% 176.74/27.63 | | | | | | | | | | | | | (26387) all_61_7 = all_61_13
% 176.74/27.63 | | | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | | | | REDUCE: (26376), (26387) imply:
% 176.74/27.63 | | | | | | | | | | | | | (26388) op(all_61_13, e2) = all_28_1
% 176.74/27.63 | | | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | | | | REDUCE: (26383), (26385) imply:
% 176.74/27.63 | | | | | | | | | | | | | (26389) op(e0, all_28_1) = e2
% 176.74/27.63 | | | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_65_29, all_28_1, e2,
% 176.74/27.63 | | | | | | | | | | | | | all_61_13, simplifying with (663), (26388) gives:
% 176.74/27.63 | | | | | | | | | | | | | (26390) all_65_29 = all_28_1
% 176.74/27.63 | | | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | | | | BETA: splitting (164) gives:
% 176.74/27.63 | | | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | | | | Case 1:
% 176.74/27.63 | | | | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | | | | | (26391) ~ (all_58_1 = e1)
% 176.74/27.63 | | | | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | | | | | REDUCE: (481), (26391) imply:
% 176.74/27.63 | | | | | | | | | | | | | | (26392) ~ (all_52_1 = e1)
% 176.74/27.63 | | | | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | | | | | BETA: splitting (161) gives:
% 176.74/27.63 | | | | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | | | | | Case 1:
% 176.74/27.63 | | | | | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | | | | | | (26393) ~ (all_58_2 = e2)
% 176.74/27.63 | | | | | | | | | | | | | | |
% 176.74/27.63 | | | | | | | | | | | | | | | REDUCE: (478), (26393) imply:
% 176.74/27.64 | | | | | | | | | | | | | | | (26394) ~ (all_52_2 = e2)
% 176.74/27.64 | | | | | | | | | | | | | | |
% 176.74/27.64 | | | | | | | | | | | | | | | BETA: splitting (158) gives:
% 176.74/27.64 | | | | | | | | | | | | | | |
% 176.74/27.64 | | | | | | | | | | | | | | | Case 1:
% 176.74/27.64 | | | | | | | | | | | | | | | |
% 176.74/27.64 | | | | | | | | | | | | | | | | (26395) ~ (all_58_3 = e2)
% 176.74/27.64 | | | | | | | | | | | | | | | |
% 176.74/27.64 | | | | | | | | | | | | | | | | REDUCE: (475), (26395) imply:
% 176.74/27.64 | | | | | | | | | | | | | | | | (26396) ~ (all_52_3 = e2)
% 176.74/27.64 | | | | | | | | | | | | | | | |
% 176.74/27.64 | | | | | | | | | | | | | | | | BETA: splitting (163) gives:
% 176.74/27.64 | | | | | | | | | | | | | | | |
% 176.74/27.64 | | | | | | | | | | | | | | | | Case 1:
% 176.74/27.64 | | | | | | | | | | | | | | | | |
% 176.74/27.64 | | | | | | | | | | | | | | | | | (26397) ~ (all_58_1 = e0)
% 176.74/27.64 | | | | | | | | | | | | | | | | |
% 176.74/27.64 | | | | | | | | | | | | | | | | | REDUCE: (481), (26397) imply:
% 176.74/27.64 | | | | | | | | | | | | | | | | | (26398) ~ (all_52_1 = e0)
% 176.74/27.64 | | | | | | | | | | | | | | | | |
% 176.74/27.64 | | | | | | | | | | | | | | | | | BETA: splitting (160) gives:
% 176.74/27.64 | | | | | | | | | | | | | | | | |
% 176.74/27.64 | | | | | | | | | | | | | | | | | Case 1:
% 176.74/27.64 | | | | | | | | | | | | | | | | | |
% 176.74/27.64 | | | | | | | | | | | | | | | | | | (26399) ~ (all_58_2 = e0)
% 176.74/27.64 | | | | | | | | | | | | | | | | | |
% 176.74/27.64 | | | | | | | | | | | | | | | | | | REDUCE: (478), (26399) imply:
% 176.74/27.64 | | | | | | | | | | | | | | | | | | (26400) ~ (all_52_2 = e0)
% 176.74/27.64 | | | | | | | | | | | | | | | | | |
% 176.74/27.64 | | | | | | | | | | | | | | | | | | BETA: splitting (157) gives:
% 176.74/27.64 | | | | | | | | | | | | | | | | | |
% 176.74/27.64 | | | | | | | | | | | | | | | | | | Case 1:
% 176.74/27.64 | | | | | | | | | | | | | | | | | | |
% 176.74/27.64 | | | | | | | | | | | | | | | | | | | (26401) ~ (all_58_3 = e1)
% 176.74/27.64 | | | | | | | | | | | | | | | | | | |
% 176.74/27.64 | | | | | | | | | | | | | | | | | | | REDUCE: (475), (26401) imply:
% 176.74/27.64 | | | | | | | | | | | | | | | | | | | (26402) ~ (all_52_3 = e1)
% 176.74/27.64 | | | | | | | | | | | | | | | | | | |
% 176.74/27.64 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (50), (148), (149), (158), (159), (475), (481),
% 176.74/27.64 | | | | | | | | | | | | | | | | | | | (484), (538), (539), (629), (633), (748), (765),
% 176.74/27.64 | | | | | | | | | | | | | | | | | | | (21466), (25570), (26347), (26394), (26398),
% 176.74/27.64 | | | | | | | | | | | | | | | | | | | (26402) are inconsistent by sub-proof #10.
% 176.74/27.64 | | | | | | | | | | | | | | | | | | |
% 176.74/27.64 | | | | | | | | | | | | | | | | | | Case 2:
% 176.74/27.64 | | | | | | | | | | | | | | | | | | |
% 176.74/27.64 | | | | | | | | | | | | | | | | | | | (26403) all_58_2 = e0
% 176.74/27.64 | | | | | | | | | | | | | | | | | | |
% 176.74/27.64 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (478), (26400), (26403) are inconsistent by
% 176.74/27.64 | | | | | | | | | | | | | | | | | | | sub-proof #436.
% 176.74/27.64 | | | | | | | | | | | | | | | | | | |
% 176.74/27.64 | | | | | | | | | | | | | | | | | | End of split
% 176.74/27.64 | | | | | | | | | | | | | | | | | |
% 176.74/27.64 | | | | | | | | | | | | | | | | | Case 2:
% 176.74/27.64 | | | | | | | | | | | | | | | | | |
% 176.74/27.64 | | | | | | | | | | | | | | | | | | (26404) all_58_3 = e1
% 176.74/27.64 | | | | | | | | | | | | | | | | | | (26405) all_58_2 = e0
% 176.74/27.64 | | | | | | | | | | | | | | | | | |
% 176.74/27.64 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (478), (26405) imply:
% 176.74/27.64 | | | | | | | | | | | | | | | | | | (26406) all_52_2 = e0
% 176.74/27.64 | | | | | | | | | | | | | | | | | |
% 176.74/27.64 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (475), (26404) imply:
% 176.74/27.64 | | | | | | | | | | | | | | | | | | (26407) all_52_3 = e1
% 176.74/27.64 | | | | | | | | | | | | | | | | | |
% 176.74/27.64 | | | | | | | | | | | | | | | | | | SIMP: (26407) implies:
% 176.74/27.64 | | | | | | | | | | | | | | | | | | (26408) all_52_3 = e1
% 176.74/27.64 | | | | | | | | | | | | | | | | | |
% 176.74/27.64 | | | | | | | | | | | | | | | | | | REDUCE: (748), (26406) imply:
% 176.74/27.64 | | | | | | | | | | | | | | | | | | (26409) op(e1, e0) = unit
% 176.74/27.64 | | | | | | | | | | | | | | | | | |
% 176.74/27.64 | | | | | | | | | | | | | | | | | | REDUCE: (765), (26408) imply:
% 176.74/27.64 | | | | | | | | | | | | | | | | | | (26410) op(e0, e1) = unit
% 176.74/27.64 | | | | | | | | | | | | | | | | | |
% 176.74/27.64 | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (50), (224), (227), (680), (693),
% 176.74/27.64 | | | | | | | | | | | | | | | | | | (21472), (21489), (26377), (26380), (26389),
% 176.74/27.64 | | | | | | | | | | | | | | | | | | (26409), (26410) are inconsistent by sub-proof
% 176.74/27.64 | | | | | | | | | | | | | | | | | | #19.
% 176.74/27.64 | | | | | | | | | | | | | | | | | |
% 176.74/27.64 | | | | | | | | | | | | | | | | | End of split
% 176.74/27.64 | | | | | | | | | | | | | | | | |
% 176.74/27.64 | | | | | | | | | | | | | | | | Case 2:
% 176.74/27.64 | | | | | | | | | | | | | | | | |
% 176.74/27.64 | | | | | | | | | | | | | | | | | (26411) all_58_3 = e2
% 176.74/27.64 | | | | | | | | | | | | | | | | |
% 176.74/27.64 | | | | | | | | | | | | | | | | | REF_CLOSE: (475), (26396), (26411) are inconsistent by
% 176.74/27.64 | | | | | | | | | | | | | | | | | sub-proof #459.
% 176.74/27.64 | | | | | | | | | | | | | | | | |
% 176.74/27.64 | | | | | | | | | | | | | | | | End of split
% 176.74/27.64 | | | | | | | | | | | | | | | |
% 176.74/27.64 | | | | | | | | | | | | | | | Case 2:
% 176.74/27.64 | | | | | | | | | | | | | | | |
% 176.74/27.64 | | | | | | | | | | | | | | | | (26412) all_58_1 = e0
% 176.74/27.64 | | | | | | | | | | | | | | | |
% 176.74/27.64 | | | | | | | | | | | | | | | | REF_CLOSE: (9), (50), (231), (481), (731), (26373), (26388),
% 176.74/27.64 | | | | | | | | | | | | | | | | (26412) are inconsistent by sub-proof #61.
% 176.74/27.64 | | | | | | | | | | | | | | | |
% 176.74/27.64 | | | | | | | | | | | | | | | End of split
% 176.74/27.64 | | | | | | | | | | | | | | |
% 176.74/27.64 | | | | | | | | | | | | | | Case 2:
% 176.74/27.64 | | | | | | | | | | | | | | |
% 176.74/27.64 | | | | | | | | | | | | | | | (26413) all_58_1 = e1
% 176.74/27.64 | | | | | | | | | | | | | | |
% 176.74/27.64 | | | | | | | | | | | | | | | REF_CLOSE: (481), (26392), (26413) are inconsistent by
% 176.74/27.64 | | | | | | | | | | | | | | | sub-proof #424.
% 176.74/27.64 | | | | | | | | | | | | | | |
% 176.74/27.64 | | | | | | | | | | | | | | End of split
% 176.74/27.64 | | | | | | | | | | | | | |
% 176.74/27.64 | | | | | | | | | | | | | Case 2:
% 176.74/27.64 | | | | | | | | | | | | | |
% 176.74/27.64 | | | | | | | | | | | | | | (26414) all_58_1 = e1
% 176.74/27.64 | | | | | | | | | | | | | |
% 176.74/27.64 | | | | | | | | | | | | | | REF_CLOSE: (9), (50), (232), (481), (731), (26170), (26199),
% 176.74/27.64 | | | | | | | | | | | | | | (26414) are inconsistent by sub-proof #1.
% 176.74/27.64 | | | | | | | | | | | | | |
% 176.74/27.64 | | | | | | | | | | | | | End of split
% 176.74/27.64 | | | | | | | | | | | | |
% 176.74/27.64 | | | | | | | | | | | | Case 2:
% 176.74/27.64 | | | | | | | | | | | | |
% 176.74/27.64 | | | | | | | | | | | | | (26415) ~ (all_60_1 = e3) & op(e2, e2) = all_60_1 &
% 176.74/27.64 | | | | | | | | | | | | | $i(all_60_1)
% 176.74/27.64 | | | | | | | | | | | | |
% 176.74/27.64 | | | | | | | | | | | | | ALPHA: (26415) implies:
% 176.74/27.64 | | | | | | | | | | | | | (26416) ~ (all_60_1 = e3)
% 176.74/27.64 | | | | | | | | | | | | | (26417) op(e2, e2) = all_60_1
% 176.74/27.64 | | | | | | | | | | | | |
% 176.74/27.64 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e3, all_60_1, e2, e2,
% 176.74/27.64 | | | | | | | | | | | | | simplifying with (25079), (26417) gives:
% 176.74/27.64 | | | | | | | | | | | | | (26418) all_60_1 = e3
% 176.74/27.64 | | | | | | | | | | | | |
% 176.74/27.64 | | | | | | | | | | | | | REDUCE: (26416), (26418) imply:
% 176.74/27.64 | | | | | | | | | | | | | (26419) $false
% 176.74/27.64 | | | | | | | | | | | | |
% 176.74/27.64 | | | | | | | | | | | | | CLOSE: (26419) is inconsistent.
% 176.74/27.64 | | | | | | | | | | | | |
% 176.74/27.64 | | | | | | | | | | | | End of split
% 176.74/27.64 | | | | | | | | | | | |
% 176.74/27.64 | | | | | | | | | | | Case 2:
% 176.74/27.64 | | | | | | | | | | | |
% 176.74/27.64 | | | | | | | | | | | | (26420) ( ~ (all_60_2 = e3) & op(e1, e1) = all_60_2 &
% 176.74/27.64 | | | | | | | | | | | | $i(all_60_2)) | ( ~ (all_60_3 = e3) & op(e0, e0)
% 176.74/27.64 | | | | | | | | | | | | = all_60_3 & $i(all_60_3))
% 176.74/27.64 | | | | | | | | | | | |
% 176.74/27.64 | | | | | | | | | | | | BETA: splitting (26420) gives:
% 176.74/27.64 | | | | | | | | | | | |
% 176.74/27.64 | | | | | | | | | | | | Case 1:
% 176.74/27.64 | | | | | | | | | | | | |
% 176.74/27.64 | | | | | | | | | | | | | (26421) ~ (all_60_2 = e3) & op(e1, e1) = all_60_2 &
% 176.74/27.64 | | | | | | | | | | | | | $i(all_60_2)
% 176.74/27.64 | | | | | | | | | | | | |
% 176.74/27.64 | | | | | | | | | | | | | ALPHA: (26421) implies:
% 176.74/27.64 | | | | | | | | | | | | | (26422) ~ (all_60_2 = e3)
% 176.74/27.64 | | | | | | | | | | | | | (26423) op(e1, e1) = all_60_2
% 176.74/27.64 | | | | | | | | | | | | |
% 176.74/27.64 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e3, all_60_2, e1, e1,
% 176.74/27.64 | | | | | | | | | | | | | simplifying with (21466), (26423) gives:
% 176.74/27.64 | | | | | | | | | | | | | (26424) all_60_2 = e3
% 176.74/27.64 | | | | | | | | | | | | |
% 176.74/27.64 | | | | | | | | | | | | | REDUCE: (26422), (26424) imply:
% 176.74/27.64 | | | | | | | | | | | | | (26425) $false
% 176.74/27.64 | | | | | | | | | | | | |
% 176.74/27.64 | | | | | | | | | | | | | CLOSE: (26425) is inconsistent.
% 176.74/27.64 | | | | | | | | | | | | |
% 176.74/27.64 | | | | | | | | | | | | Case 2:
% 176.74/27.64 | | | | | | | | | | | | |
% 176.74/27.64 | | | | | | | | | | | | | (26426) ~ (all_60_3 = e3) & op(e0, e0) = all_60_3 &
% 176.74/27.64 | | | | | | | | | | | | | $i(all_60_3)
% 176.74/27.64 | | | | | | | | | | | | |
% 176.74/27.64 | | | | | | | | | | | | | ALPHA: (26426) implies:
% 176.74/27.64 | | | | | | | | | | | | | (26427) ~ (all_60_3 = e3)
% 176.74/27.64 | | | | | | | | | | | | | (26428) op(e0, e0) = all_60_3
% 176.74/27.64 | | | | | | | | | | | | |
% 176.74/27.64 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with e3, all_60_3, e0, e0,
% 176.74/27.64 | | | | | | | | | | | | | simplifying with (26347), (26428) gives:
% 176.74/27.64 | | | | | | | | | | | | | (26429) all_60_3 = e3
% 176.74/27.64 | | | | | | | | | | | | |
% 176.74/27.64 | | | | | | | | | | | | | REDUCE: (26427), (26429) imply:
% 176.74/27.64 | | | | | | | | | | | | | (26430) $false
% 176.74/27.64 | | | | | | | | | | | | |
% 176.74/27.64 | | | | | | | | | | | | | CLOSE: (26430) is inconsistent.
% 176.74/27.64 | | | | | | | | | | | | |
% 176.74/27.64 | | | | | | | | | | | | End of split
% 176.74/27.64 | | | | | | | | | | | |
% 176.74/27.64 | | | | | | | | | | | End of split
% 176.74/27.64 | | | | | | | | | | |
% 176.74/27.64 | | | | | | | | | | End of split
% 176.74/27.64 | | | | | | | | | |
% 176.74/27.64 | | | | | | | | | End of split
% 176.74/27.64 | | | | | | | | |
% 176.74/27.64 | | | | | | | | Case 2:
% 176.74/27.64 | | | | | | | | |
% 176.74/27.64 | | | | | | | | | (26431) all_20_2 = e2
% 176.74/27.64 | | | | | | | | | (26432) op(e0, e2) = all_20_1 & $i(all_20_1) & ( ~
% 176.74/27.64 | | | | | | | | | (all_20_1 = e1) | ( ~ (all_20_0 = e3) & op(e1,
% 176.74/27.64 | | | | | | | | | e0) = all_20_0 & $i(all_20_0)))
% 176.74/27.64 | | | | | | | | |
% 176.74/27.64 | | | | | | | | | ALPHA: (26432) implies:
% 176.74/27.64 | | | | | | | | | (26433) op(e0, e2) = all_20_1
% 176.74/27.64 | | | | | | | | |
% 176.74/27.64 | | | | | | | | | REDUCE: (624), (26431) imply:
% 176.74/27.64 | | | | | | | | | (26434) ~ (all_61_11 = e2)
% 176.74/27.64 | | | | | | | | |
% 176.74/27.64 | | | | | | | | | REDUCE: (695), (26431) imply:
% 176.74/27.64 | | | | | | | | | (26435) op(e2, e2) = all_65_75
% 176.74/27.64 | | | | | | | | |
% 176.74/27.64 | | | | | | | | | REDUCE: (696), (26431) imply:
% 176.74/27.64 | | | | | | | | | (26436) op(e2, e1) = all_65_77
% 176.74/27.64 | | | | | | | | |
% 176.74/27.64 | | | | | | | | | REDUCE: (697), (26431) imply:
% 176.74/27.64 | | | | | | | | | (26437) op(e2, e0) = all_65_78
% 176.74/27.64 | | | | | | | | |
% 176.74/27.64 | | | | | | | | | REDUCE: (730), (26431) imply:
% 176.74/27.64 | | | | | | | | | (26438) op(e2, e2) = all_65_31
% 176.74/27.64 | | | | | | | | |
% 176.74/27.64 | | | | | | | | | REDUCE: (764), (26431) imply:
% 176.74/27.64 | | | | | | | | | (26439) op(e0, e2) = all_65_78
% 176.74/27.64 | | | | | | | | |
% 176.74/27.64 | | | | | | | | | REDUCE: (76), (26431) imply:
% 176.74/27.64 | | | | | | | | | (26440) op(e0, e0) = e2
% 176.74/27.64 | | | | | | | | |
% 176.74/27.64 | | | | | | | | | GROUND_INST: instantiating (50) with all_61_7, all_65_78, e2,
% 176.74/27.64 | | | | | | | | | e0, simplifying with (225), (26439) gives:
% 176.74/27.64 | | | | | | | | | (26441) all_65_78 = all_61_7
% 176.74/27.64 | | | | | | | | |
% 176.74/27.64 | | | | | | | | | GROUND_INST: instantiating (50) with all_20_1, all_65_78, e2,
% 176.74/27.64 | | | | | | | | | e0, simplifying with (26433), (26439) gives:
% 176.74/27.64 | | | | | | | | | (26442) all_65_78 = all_20_1
% 176.74/27.64 | | | | | | | | |
% 176.74/27.64 | | | | | | | | | GROUND_INST: instantiating (50) with all_61_13, all_65_78, e0,
% 176.74/27.64 | | | | | | | | | e2, simplifying with (231), (26437) gives:
% 176.74/27.64 | | | | | | | | | (26443) all_65_78 = all_61_13
% 176.74/27.64 | | | | | | | | |
% 176.74/27.64 | | | | | | | | | GROUND_INST: instantiating (50) with all_61_9, all_65_77, e1,
% 176.74/27.64 | | | | | | | | | e2, simplifying with (232), (26436) gives:
% 176.74/27.64 | | | | | | | | | (26444) all_65_77 = all_61_9
% 176.74/27.64 | | | | | | | | |
% 176.74/27.64 | | | | | | | | | GROUND_INST: instantiating (50) with e3, all_65_31, e2, e2,
% 176.74/27.64 | | | | | | | | | simplifying with (25079), (26438) gives:
% 176.74/27.64 | | | | | | | | | (26445) all_65_31 = e3
% 176.74/27.64 | | | | | | | | |
% 176.74/27.64 | | | | | | | | | GROUND_INST: instantiating (50) with all_65_75, all_65_31, e2,
% 176.74/27.64 | | | | | | | | | e2, simplifying with (26435), (26438) gives:
% 176.74/27.64 | | | | | | | | | (26446) all_65_31 = all_65_75
% 176.74/27.64 | | | | | | | | |
% 176.74/27.64 | | | | | | | | | COMBINE_EQS: (26445), (26446) imply:
% 176.74/27.64 | | | | | | | | | (26447) all_65_75 = e3
% 176.74/27.64 | | | | | | | | |
% 176.74/27.64 | | | | | | | | | COMBINE_EQS: (26442), (26443) imply:
% 176.74/27.64 | | | | | | | | | (26448) all_61_13 = all_20_1
% 176.74/27.64 | | | | | | | | |
% 176.74/27.64 | | | | | | | | | SIMP: (26448) implies:
% 176.74/27.64 | | | | | | | | | (26449) all_61_13 = all_20_1
% 176.74/27.64 | | | | | | | | |
% 176.74/27.64 | | | | | | | | | COMBINE_EQS: (26441), (26442) imply:
% 176.74/27.64 | | | | | | | | | (26450) all_61_7 = all_20_1
% 176.74/27.64 | | | | | | | | |
% 176.74/27.64 | | | | | | | | | SIMP: (26450) implies:
% 176.74/27.64 | | | | | | | | | (26451) all_61_7 = all_20_1
% 176.74/27.64 | | | | | | | | |
% 176.74/27.64 | | | | | | | | | REDUCE: (192), (26451) imply:
% 176.74/27.64 | | | | | | | | | (26452) ~ (all_61_11 = all_20_1)
% 176.74/27.64 | | | | | | | | |
% 176.74/27.64 | | | | | | | | | SIMP: (26452) implies:
% 176.74/27.64 | | | | | | | | | (26453) ~ (all_61_11 = all_20_1)
% 176.74/27.64 | | | | | | | | |
% 176.74/27.64 | | | | | | | | | REDUCE: (25124), (26451) imply:
% 176.74/27.64 | | | | | | | | | (26454) op(all_20_1, e2) = all_61_3
% 176.74/27.64 | | | | | | | | |
% 176.74/27.64 | | | | | | | | | REDUCE: (689), (26451) imply:
% 176.74/27.64 | | | | | | | | | (26455) op(all_20_1, e0) = all_65_63
% 176.74/27.64 | | | | | | | | |
% 176.74/27.64 | | | | | | | | | REDUCE: (663), (26449) imply:
% 176.74/27.64 | | | | | | | | | (26456) op(all_20_1, e2) = all_65_29
% 176.74/27.64 | | | | | | | | |
% 176.74/27.64 | | | | | | | | | REDUCE: (665), (26445), (26449) imply:
% 176.74/27.64 | | | | | | | | | (26457) op(all_20_1, e0) = e3
% 176.74/27.64 | | | | | | | | |
% 176.74/27.64 | | | | | | | | | REDUCE: (728), (26451) imply:
% 176.74/27.64 | | | | | | | | | (26458) op(e2, all_20_1) = all_65_29
% 176.74/27.64 | | | | | | | | |
% 176.74/27.64 | | | | | | | | | REDUCE: (25130), (26449) imply:
% 176.74/27.64 | | | | | | | | | (26459) op(e2, all_20_1) = all_61_12
% 176.74/27.64 | | | | | | | | |
% 176.74/27.64 | | | | | | | | | REDUCE: (231), (26449) imply:
% 176.74/27.64 | | | | | | | | | (26460) op(e2, e0) = all_20_1
% 176.74/27.64 | | | | | | | | |
% 176.74/27.64 | | | | | | | | | GROUND_INST: instantiating (50) with all_61_12, all_65_29,
% 176.74/27.64 | | | | | | | | | all_20_1, e2, simplifying with (26458), (26459)
% 176.74/27.64 | | | | | | | | | gives:
% 176.74/27.64 | | | | | | | | | (26461) all_65_29 = all_61_12
% 176.74/27.64 | | | | | | | | |
% 176.74/27.64 | | | | | | | | | GROUND_INST: instantiating (50) with e3, all_65_63, e0,
% 176.74/27.64 | | | | | | | | | all_20_1, simplifying with (26455), (26457) gives:
% 176.74/27.64 | | | | | | | | | (26462) all_65_63 = e3
% 176.74/27.64 | | | | | | | | |
% 176.74/27.64 | | | | | | | | | GROUND_INST: instantiating (50) with all_61_3, all_65_29, e2,
% 176.74/27.64 | | | | | | | | | all_20_1, simplifying with (26454), (26456) gives:
% 176.74/27.64 | | | | | | | | | (26463) all_65_29 = all_61_3
% 176.74/27.64 | | | | | | | | |
% 176.74/27.64 | | | | | | | | | COMBINE_EQS: (26461), (26463) imply:
% 176.74/27.64 | | | | | | | | | (26464) all_61_3 = all_61_12
% 176.74/27.64 | | | | | | | | |
% 176.74/27.64 | | | | | | | | | REDUCE: (21518), (26464) imply:
% 176.74/27.64 | | | | | | | | | (26465) op(all_61_11, e1) = all_61_12
% 176.74/27.64 | | | | | | | | |
% 176.74/27.64 | | | | | | | | | REDUCE: (226), (26464) imply:
% 176.74/27.64 | | | | | | | | | (26466) op(e0, e3) = all_61_12
% 176.74/27.64 | | | | | | | | |
% 176.74/27.64 | | | | | | | | | BETA: splitting (161) gives:
% 176.74/27.64 | | | | | | | | |
% 176.74/27.64 | | | | | | | | | Case 1:
% 176.74/27.64 | | | | | | | | | |
% 176.74/27.64 | | | | | | | | | | (26467) ~ (all_58_2 = e2)
% 176.74/27.64 | | | | | | | | | |
% 176.74/27.64 | | | | | | | | | | REDUCE: (478), (26467) imply:
% 176.74/27.64 | | | | | | | | | | (26468) ~ (all_52_2 = e2)
% 176.74/27.64 | | | | | | | | | |
% 176.74/27.64 | | | | | | | | | | BETA: splitting (160) gives:
% 176.74/27.64 | | | | | | | | | |
% 176.74/27.64 | | | | | | | | | | Case 1:
% 176.74/27.64 | | | | | | | | | | |
% 176.74/27.64 | | | | | | | | | | | (26469) ~ (all_58_2 = e0)
% 176.74/27.64 | | | | | | | | | | |
% 176.74/27.64 | | | | | | | | | | | REDUCE: (478), (26469) imply:
% 176.74/27.64 | | | | | | | | | | | (26470) ~ (all_52_2 = e0)
% 176.74/27.64 | | | | | | | | | | |
% 176.74/27.64 | | | | | | | | | | | BETA: splitting (157) gives:
% 176.74/27.64 | | | | | | | | | | |
% 176.74/27.64 | | | | | | | | | | | Case 1:
% 176.74/27.64 | | | | | | | | | | | |
% 176.74/27.64 | | | | | | | | | | | | (26471) ~ (all_58_3 = e1)
% 176.74/27.64 | | | | | | | | | | | |
% 176.74/27.64 | | | | | | | | | | | | REDUCE: (475), (26471) imply:
% 176.74/27.64 | | | | | | | | | | | | (26472) ~ (all_52_3 = e1)
% 176.74/27.64 | | | | | | | | | | | |
% 176.74/27.64 | | | | | | | | | | | | BETA: splitting (158) gives:
% 176.74/27.64 | | | | | | | | | | | |
% 176.74/27.64 | | | | | | | | | | | | Case 1:
% 176.74/27.64 | | | | | | | | | | | | |
% 176.74/27.64 | | | | | | | | | | | | | (26473) ~ (all_58_3 = e2)
% 176.74/27.64 | | | | | | | | | | | | |
% 176.74/27.64 | | | | | | | | | | | | | REF_CLOSE: (7), (8), (50), (148), (149), (159), (185), (232),
% 176.74/27.64 | | | | | | | | | | | | | (257), (475), (484), (510), (538), (539), (629),
% 176.74/27.64 | | | | | | | | | | | | | (633), (748), (765), (21457), (21466), (25570),
% 176.74/27.64 | | | | | | | | | | | | | (26434), (26440), (26453), (26460), (26468),
% 176.74/27.64 | | | | | | | | | | | | | (26472), (26473) are inconsistent by sub-proof
% 176.74/27.64 | | | | | | | | | | | | | #28.
% 176.74/27.64 | | | | | | | | | | | | |
% 176.74/27.64 | | | | | | | | | | | | Case 2:
% 176.74/27.64 | | | | | | | | | | | | |
% 176.74/27.64 | | | | | | | | | | | | | (26474) all_58_1 = e0
% 176.74/27.64 | | | | | | | | | | | | |
% 176.74/27.64 | | | | | | | | | | | | | REF_CLOSE: (7), (21), (50), (481), (731), (26457), (26460),
% 176.74/27.64 | | | | | | | | | | | | | (26474) are inconsistent by sub-proof #74.
% 176.74/27.64 | | | | | | | | | | | | |
% 176.74/27.64 | | | | | | | | | | | | End of split
% 176.74/27.64 | | | | | | | | | | | |
% 176.74/27.64 | | | | | | | | | | | Case 2:
% 176.74/27.64 | | | | | | | | | | | |
% 176.74/27.64 | | | | | | | | | | | | (26475) all_58_2 = e0
% 176.74/27.64 | | | | | | | | | | | |
% 176.74/27.64 | | | | | | | | | | | | REF_CLOSE: (478), (26470), (26475) are inconsistent by
% 176.74/27.64 | | | | | | | | | | | | sub-proof #436.
% 176.74/27.64 | | | | | | | | | | | |
% 176.74/27.64 | | | | | | | | | | | End of split
% 176.74/27.64 | | | | | | | | | | |
% 176.74/27.64 | | | | | | | | | | Case 2:
% 176.74/27.64 | | | | | | | | | | |
% 176.74/27.64 | | | | | | | | | | | (26476) all_58_3 = e1
% 176.74/27.64 | | | | | | | | | | | (26477) all_58_2 = e0
% 176.74/27.64 | | | | | | | | | | |
% 176.74/27.64 | | | | | | | | | | | COMBINE_EQS: (478), (26477) imply:
% 176.74/27.64 | | | | | | | | | | | (26478) all_52_2 = e0
% 176.74/27.64 | | | | | | | | | | |
% 176.74/27.64 | | | | | | | | | | | SIMP: (26478) implies:
% 176.74/27.64 | | | | | | | | | | | (26479) all_52_2 = e0
% 176.74/27.64 | | | | | | | | | | |
% 176.74/27.64 | | | | | | | | | | | COMBINE_EQS: (475), (26476) imply:
% 176.74/27.64 | | | | | | | | | | | (26480) all_52_3 = e1
% 176.74/27.64 | | | | | | | | | | |
% 176.74/27.64 | | | | | | | | | | | SIMP: (26480) implies:
% 176.74/27.64 | | | | | | | | | | | (26481) all_52_3 = e1
% 176.74/27.64 | | | | | | | | | | |
% 176.74/27.64 | | | | | | | | | | | REDUCE: (748), (26479) imply:
% 176.74/27.64 | | | | | | | | | | | (26482) op(e1, e0) = unit
% 176.74/27.64 | | | | | | | | | | |
% 176.74/27.64 | | | | | | | | | | | REDUCE: (765), (26481) imply:
% 176.74/27.64 | | | | | | | | | | | (26483) op(e0, e1) = unit
% 176.74/27.64 | | | | | | | | | | |
% 176.74/27.64 | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_11, unit, e1, e0,
% 176.74/27.64 | | | | | | | | | | | simplifying with (224), (26483) gives:
% 176.74/27.64 | | | | | | | | | | | (26484) all_61_11 = unit
% 176.74/27.64 | | | | | | | | | | |
% 176.74/27.64 | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_14, unit, e0, e1,
% 176.74/27.64 | | | | | | | | | | | simplifying with (227), (26482) gives:
% 176.74/27.64 | | | | | | | | | | | (26485) all_61_14 = unit
% 176.74/27.64 | | | | | | | | | | |
% 176.74/27.64 | | | | | | | | | | | REDUCE: (26465), (26484) imply:
% 176.74/27.64 | | | | | | | | | | | (26486) op(unit, e1) = all_61_12
% 176.74/27.64 | | | | | | | | | | |
% 176.74/27.64 | | | | | | | | | | | REDUCE: (680), (26485) imply:
% 176.74/27.64 | | | | | | | | | | | (26487) op(unit, e1) = all_65_46
% 176.74/27.64 | | | | | | | | | | |
% 176.74/27.64 | | | | | | | | | | | GROUND_INST: instantiating (50) with e1, all_65_46, e1, unit,
% 176.74/27.64 | | | | | | | | | | | simplifying with (8), (26487) gives:
% 176.74/27.64 | | | | | | | | | | | (26488) all_65_46 = e1
% 176.74/27.64 | | | | | | | | | | |
% 176.74/27.64 | | | | | | | | | | | GROUND_INST: instantiating (50) with all_61_12, all_65_46, e1,
% 176.74/27.64 | | | | | | | | | | | unit, simplifying with (26486), (26487) gives:
% 176.74/27.64 | | | | | | | | | | | (26489) all_65_46 = all_61_12
% 176.74/27.64 | | | | | | | | | | |
% 176.74/27.64 | | | | | | | | | | | COMBINE_EQS: (26488), (26489) imply:
% 176.74/27.64 | | | | | | | | | | | (26490) all_61_12 = e1
% 176.74/27.64 | | | | | | | | | | |
% 176.74/27.64 | | | | | | | | | | | REDUCE: (25111), (26490) imply:
% 176.74/27.64 | | | | | | | | | | | (26491) ~ (all_6_1 = e1)
% 176.74/27.64 | | | | | | | | | | |
% 176.74/27.64 | | | | | | | | | | | SIMP: (26491) implies:
% 176.74/27.64 | | | | | | | | | | | (26492) ~ (all_6_1 = e1)
% 176.74/27.64 | | | | | | | | | | |
% 176.74/27.64 | | | | | | | | | | | REDUCE: (26466), (26490) imply:
% 176.74/27.64 | | | | | | | | | | | (26493) op(e0, e3) = e1
% 176.74/27.64 | | | | | | | | | | |
% 176.74/27.64 | | | | | | | | | | | REF_CLOSE: (50), (267), (25103), (25114), (26163), (26168),
% 176.74/27.64 | | | | | | | | | | | (26196), (26492), (26493) are inconsistent by
% 176.74/27.64 | | | | | | | | | | | sub-proof #69.
% 176.74/27.64 | | | | | | | | | | |
% 176.74/27.64 | | | | | | | | | | End of split
% 176.74/27.64 | | | | | | | | | |
% 176.74/27.64 | | | | | | | | | Case 2:
% 176.74/27.64 | | | | | | | | | |
% 176.74/27.64 | | | | | | | | | | (26494) all_58_1 = e1
% 176.74/27.64 | | | | | | | | | |
% 176.74/27.64 | | | | | | | | | | COMBINE_EQS: (481), (26494) imply:
% 176.74/27.64 | | | | | | | | | | (26495) all_52_1 = e1
% 176.74/27.64 | | | | | | | | | |
% 176.74/27.64 | | | | | | | | | | SIMP: (26495) implies:
% 176.74/27.64 | | | | | | | | | | (26496) all_52_1 = e1
% 176.74/27.64 | | | | | | | | | |
% 176.74/27.64 | | | | | | | | | | REDUCE: (731), (26496) imply:
% 176.74/27.64 | | | | | | | | | | (26497) op(e2, e1) = unit
% 176.74/27.64 | | | | | | | | | |
% 176.74/27.64 | | | | | | | | | | REF_CLOSE: (9), (50), (232), (26170), (26199), (26497) are
% 176.74/27.64 | | | | | | | | | | inconsistent by sub-proof #2.
% 176.74/27.64 | | | | | | | | | |
% 176.74/27.64 | | | | | | | | | End of split
% 176.74/27.64 | | | | | | | | |
% 176.74/27.64 | | | | | | | | End of split
% 176.74/27.64 | | | | | | | |
% 176.74/27.64 | | | | | | | End of split
% 176.74/27.64 | | | | | | |
% 176.74/27.64 | | | | | | End of split
% 176.74/27.64 | | | | | |
% 176.74/27.64 | | | | | End of split
% 176.74/27.64 | | | | |
% 176.74/27.64 | | | | End of split
% 176.74/27.64 | | | |
% 176.74/27.64 | | | End of split
% 176.74/27.64 | | |
% 176.74/27.64 | | End of split
% 176.74/27.64 | |
% 176.74/27.64 | End of split
% 176.74/27.64 |
% 176.74/27.64 End of proof
% 176.74/27.64
% 176.74/27.64 Sub-proof #1 shows that the following formulas are inconsistent:
% 176.74/27.64 ----------------------------------------------------------------
% 176.74/27.64 (1) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 176.74/27.64 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 176.74/27.64 (2) op(e2, all_52_1) = unit
% 176.74/27.65 (3) ~ (all_4_1 = e2)
% 176.74/27.65 (4) all_58_1 = all_52_1
% 176.74/27.65 (5) all_58_1 = e1
% 176.74/27.65 (6) op(e2, e1) = all_61_9
% 176.74/27.65 (7) op(all_61_9, e2) = all_4_1
% 176.74/27.65 (8) op(unit, e2) = e2
% 176.74/27.65
% 176.74/27.65 Begin of proof
% 176.74/27.65 |
% 176.74/27.65 | COMBINE_EQS: (4), (5) imply:
% 176.74/27.65 | (9) all_52_1 = e1
% 176.74/27.65 |
% 176.74/27.65 | SIMP: (9) implies:
% 176.74/27.65 | (10) all_52_1 = e1
% 176.74/27.65 |
% 176.74/27.65 | REDUCE: (2), (10) imply:
% 176.74/27.65 | (11) op(e2, e1) = unit
% 176.74/27.65 |
% 176.74/27.65 | REF_CLOSE: (1), (3), (6), (7), (8), (11) are inconsistent by sub-proof #2.
% 176.74/27.65 |
% 176.74/27.65 End of proof
% 176.74/27.65
% 176.74/27.65 Sub-proof #2 shows that the following formulas are inconsistent:
% 176.74/27.65 ----------------------------------------------------------------
% 176.74/27.65 (1) op(e2, e1) = unit
% 176.74/27.65 (2) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 176.74/27.65 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 176.74/27.65 (3) ~ (all_4_1 = e2)
% 176.74/27.65 (4) op(e2, e1) = all_61_9
% 176.74/27.65 (5) op(all_61_9, e2) = all_4_1
% 176.74/27.65 (6) op(unit, e2) = e2
% 176.74/27.65
% 176.74/27.65 Begin of proof
% 176.74/27.65 |
% 176.74/27.65 | GROUND_INST: instantiating (2) with all_61_9, unit, e1, e2, simplifying with
% 176.74/27.65 | (1), (4) gives:
% 176.74/27.65 | (7) all_61_9 = unit
% 176.74/27.65 |
% 176.74/27.65 | REDUCE: (5), (7) imply:
% 176.74/27.65 | (8) op(unit, e2) = all_4_1
% 176.74/27.65 |
% 176.74/27.65 | GROUND_INST: instantiating (2) with e2, all_4_1, e2, unit, simplifying with
% 176.74/27.65 | (6), (8) gives:
% 176.74/27.65 | (9) all_4_1 = e2
% 176.74/27.65 |
% 176.74/27.65 | REDUCE: (3), (9) imply:
% 176.74/27.65 | (10) $false
% 176.74/27.65 |
% 176.74/27.65 | CLOSE: (10) is inconsistent.
% 176.74/27.65 |
% 176.74/27.65 End of proof
% 176.74/27.65
% 176.74/27.65 Sub-proof #3 shows that the following formulas are inconsistent:
% 176.74/27.65 ----------------------------------------------------------------
% 176.74/27.65 (1) ~ (all_58_2 = e0) | all_58_3 = e1
% 176.74/27.65 (2) all_56_2 = e3 | all_56_2 = e2 | all_56_2 = e1 | all_56_2 = e0
% 176.74/27.65 (3) all_56_2 = all_52_2
% 176.74/27.65 (4) op(e3, all_52_0) = unit
% 176.74/27.65 (5) all_58_0 = all_52_0
% 176.74/27.65 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 176.74/27.65 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 176.74/27.65 (7) op(e2, all_6_1) = e0
% 176.74/27.65 (8) op(all_4_1, e1) = e0
% 176.74/27.65 (9) ~ (all_58_2 = e2) | all_58_1 = e1
% 176.74/27.65 (10) op(unit, e1) = e1
% 176.74/27.65 (11) all_58_3 = all_52_3
% 176.74/27.65 (12) ~ (e1 = e0)
% 176.74/27.65 (13) op(e2, all_52_1) = unit
% 176.74/27.65 (14) all_58_2 = all_52_2
% 176.74/27.65 (15) op(e1, e1) = e3
% 176.74/27.65 (16) ~ (all_52_3 = e1)
% 176.74/27.65 (17) ~ (all_4_1 = e2) | ( ~ (all_4_0 = e0) & op(e2, e1) = all_4_0 &
% 176.74/27.65 $i(all_4_0))
% 176.74/27.65 (18) all_58_1 = all_52_1
% 176.74/27.65 (19) op(e3, e1) = all_4_1
% 176.74/27.65 (20) ~ (all_58_2 = e3) | all_58_0 = e1
% 176.74/27.65 (21) op(e1, all_52_2) = unit
% 176.74/27.65 (22) op(e2, e1) = all_61_9
% 176.74/27.65 (23) op(all_61_9, e1) = all_6_1
% 176.74/27.65 (24) ~ (unit = e3)
% 176.74/27.65 (25) op(all_61_9, e2) = all_4_1
% 176.74/27.65 (26) op(unit, e2) = e2
% 176.74/27.65
% 176.74/27.65 Begin of proof
% 176.74/27.65 |
% 176.74/27.65 | BETA: splitting (1) gives:
% 176.74/27.65 |
% 176.74/27.65 | Case 1:
% 176.74/27.65 | |
% 176.74/27.65 | | (27) ~ (all_58_2 = e0)
% 176.74/27.65 | |
% 176.74/27.65 | | REDUCE: (14), (27) imply:
% 176.74/27.65 | | (28) ~ (all_52_2 = e0)
% 176.74/27.65 | |
% 176.74/27.65 | | BETA: splitting (20) gives:
% 176.74/27.65 | |
% 176.74/27.65 | | Case 1:
% 176.74/27.65 | | |
% 176.74/27.65 | | | (29) ~ (all_58_2 = e3)
% 176.74/27.65 | | |
% 176.74/27.65 | | | REDUCE: (14), (29) imply:
% 176.74/27.65 | | | (30) ~ (all_52_2 = e3)
% 176.74/27.65 | | |
% 176.74/27.65 | | | BETA: splitting (9) gives:
% 176.74/27.65 | | |
% 176.74/27.65 | | | Case 1:
% 176.74/27.65 | | | |
% 176.74/27.65 | | | | (31) ~ (all_58_2 = e2)
% 176.74/27.65 | | | |
% 176.74/27.65 | | | | REDUCE: (14), (31) imply:
% 176.74/27.65 | | | | (32) ~ (all_52_2 = e2)
% 176.74/27.65 | | | |
% 176.74/27.65 | | | | REF_CLOSE: (2), (3), (6), (15), (21), (24), (28), (30), (32) are
% 176.74/27.65 | | | | inconsistent by sub-proof #54.
% 176.74/27.65 | | | |
% 176.74/27.65 | | | Case 2:
% 176.74/27.65 | | | |
% 176.74/27.65 | | | | (33) all_58_1 = e1
% 176.74/27.65 | | | |
% 176.74/27.65 | | | | COMBINE_EQS: (18), (33) imply:
% 176.74/27.65 | | | | (34) all_52_1 = e1
% 176.74/27.65 | | | |
% 176.74/27.65 | | | | SIMP: (34) implies:
% 176.74/27.65 | | | | (35) all_52_1 = e1
% 176.74/27.65 | | | |
% 176.74/27.65 | | | | REDUCE: (13), (35) imply:
% 176.74/27.65 | | | | (36) op(e2, e1) = unit
% 176.74/27.65 | | | |
% 176.74/27.65 | | | | GROUND_INST: instantiating (6) with all_61_9, unit, e1, e2, simplifying
% 176.74/27.65 | | | | with (22), (36) gives:
% 176.74/27.65 | | | | (37) all_61_9 = unit
% 176.74/27.65 | | | |
% 176.74/27.65 | | | | REDUCE: (25), (37) imply:
% 176.74/27.65 | | | | (38) op(unit, e2) = all_4_1
% 176.74/27.65 | | | |
% 176.74/27.65 | | | | REDUCE: (23), (37) imply:
% 176.74/27.65 | | | | (39) op(unit, e1) = all_6_1
% 176.74/27.65 | | | |
% 176.74/27.65 | | | | GROUND_INST: instantiating (6) with e1, all_6_1, e1, unit, simplifying
% 176.74/27.65 | | | | with (10), (39) gives:
% 176.74/27.65 | | | | (40) all_6_1 = e1
% 176.74/27.65 | | | |
% 176.74/27.65 | | | | GROUND_INST: instantiating (6) with e2, all_4_1, e2, unit, simplifying
% 176.74/27.65 | | | | with (26), (38) gives:
% 176.74/27.65 | | | | (41) all_4_1 = e2
% 176.74/27.65 | | | |
% 176.74/27.65 | | | | REF_CLOSE: (6), (7), (17), (40), (41) are inconsistent by sub-proof #4.
% 176.74/27.65 | | | |
% 176.74/27.65 | | | End of split
% 176.74/27.65 | | |
% 176.74/27.65 | | Case 2:
% 176.74/27.65 | | |
% 176.74/27.65 | | | (42) all_58_0 = e1
% 176.74/27.65 | | |
% 176.74/27.65 | | | REF_CLOSE: (4), (5), (6), (8), (10), (12), (19), (42) are inconsistent by
% 176.74/27.65 | | | sub-proof #40.
% 176.74/27.65 | | |
% 176.74/27.65 | | End of split
% 176.74/27.65 | |
% 176.74/27.65 | Case 2:
% 176.74/27.65 | |
% 176.74/27.65 | | (43) all_58_3 = e1
% 176.74/27.65 | |
% 176.74/27.65 | | REF_CLOSE: (11), (16), (43) are inconsistent by sub-proof #460.
% 176.74/27.65 | |
% 176.74/27.65 | End of split
% 176.74/27.65 |
% 176.74/27.65 End of proof
% 176.74/27.65
% 176.74/27.65 Sub-proof #4 shows that the following formulas are inconsistent:
% 176.74/27.65 ----------------------------------------------------------------
% 176.74/27.65 (1) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 176.74/27.65 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 176.74/27.65 (2) op(e2, all_6_1) = e0
% 176.74/27.65 (3) all_6_1 = e1
% 176.74/27.65 (4) ~ (all_4_1 = e2) | ( ~ (all_4_0 = e0) & op(e2, e1) = all_4_0 &
% 176.74/27.65 $i(all_4_0))
% 176.74/27.65 (5) all_4_1 = e2
% 176.74/27.65
% 176.74/27.65 Begin of proof
% 176.74/27.65 |
% 176.74/27.65 | REDUCE: (2), (3) imply:
% 176.74/27.65 | (6) op(e2, e1) = e0
% 176.74/27.65 |
% 176.74/27.65 | BETA: splitting (4) gives:
% 176.74/27.65 |
% 176.74/27.65 | Case 1:
% 176.74/27.65 | |
% 176.74/27.65 | | (7) ~ (all_4_1 = e2)
% 176.74/27.65 | |
% 176.74/27.65 | | REDUCE: (5), (7) imply:
% 176.74/27.65 | | (8) $false
% 176.74/27.65 | |
% 176.74/27.65 | | CLOSE: (8) is inconsistent.
% 176.74/27.65 | |
% 176.74/27.65 | Case 2:
% 176.74/27.65 | |
% 176.74/27.65 | | (9) ~ (all_4_0 = e0) & op(e2, e1) = all_4_0 & $i(all_4_0)
% 176.74/27.65 | |
% 176.74/27.65 | | ALPHA: (9) implies:
% 176.74/27.65 | | (10) ~ (all_4_0 = e0)
% 176.74/27.65 | | (11) op(e2, e1) = all_4_0
% 176.74/27.65 | |
% 176.74/27.65 | | GROUND_INST: instantiating (1) with e0, all_4_0, e1, e2, simplifying with
% 176.74/27.65 | | (6), (11) gives:
% 176.74/27.65 | | (12) all_4_0 = e0
% 176.74/27.65 | |
% 176.74/27.65 | | REDUCE: (10), (12) imply:
% 176.74/27.65 | | (13) $false
% 176.74/27.65 | |
% 176.74/27.65 | | CLOSE: (13) is inconsistent.
% 176.74/27.65 | |
% 176.74/27.65 | End of split
% 176.74/27.65 |
% 176.74/27.65 End of proof
% 176.74/27.65
% 176.74/27.65 Sub-proof #5 shows that the following formulas are inconsistent:
% 176.74/27.65 ----------------------------------------------------------------
% 176.74/27.65 (1) ~ (all_58_1 = e3) | all_58_0 = e2
% 176.74/27.65 (2) op(e3, all_52_0) = unit
% 176.74/27.65 (3) all_58_0 = all_52_0
% 176.74/27.65 (4) all_56_1 = e3 | all_56_1 = e2 | all_56_1 = e1 | all_56_1 = e0
% 176.74/27.65 (5) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 176.74/27.65 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 176.74/27.65 (6) ~ (all_58_1 = e0)
% 176.74/27.65 (7) ~ (all_6_1 = e1)
% 176.74/27.65 (8) ~ (e2 = e1)
% 176.74/27.65 (9) op(unit, e1) = e1
% 176.74/27.65 (10) op(e2, e2) = e3
% 176.74/27.65 (11) all_56_1 = all_52_1
% 176.74/27.65 (12) op(e2, all_52_1) = unit
% 176.74/27.65 (13) all_58_1 = all_52_1
% 176.74/27.65 (14) op(e2, e1) = all_61_9
% 176.74/27.65 (15) op(e3, e2) = all_6_1
% 176.74/27.65 (16) ~ (all_58_1 = e1) | all_58_2 = e2
% 176.74/27.65 (17) op(all_61_9, e1) = all_6_1
% 176.74/27.65 (18) ~ (unit = e3)
% 176.74/27.65 (19) op(all_6_1, e2) = e1
% 176.74/27.65 (20) op(unit, e2) = e2
% 176.74/27.65
% 176.74/27.65 Begin of proof
% 176.74/27.65 |
% 176.74/27.65 | REDUCE: (6), (13) imply:
% 176.74/27.65 | (21) ~ (all_52_1 = e0)
% 176.74/27.65 |
% 176.74/27.65 | BETA: splitting (16) gives:
% 176.74/27.65 |
% 176.74/27.65 | Case 1:
% 176.74/27.65 | |
% 176.74/27.65 | | (22) ~ (all_58_1 = e1)
% 176.74/27.65 | |
% 176.74/27.65 | | REDUCE: (13), (22) imply:
% 176.74/27.65 | | (23) ~ (all_52_1 = e1)
% 176.74/27.65 | |
% 176.74/27.65 | | REF_CLOSE: (1), (2), (3), (4), (5), (8), (10), (11), (12), (13), (15), (18),
% 176.74/27.65 | | (19), (20), (21), (23) are inconsistent by sub-proof #97.
% 176.74/27.65 | |
% 176.74/27.65 | Case 2:
% 176.74/27.65 | |
% 176.74/27.65 | | (24) all_58_1 = e1
% 176.74/27.65 | |
% 176.74/27.65 | | REF_CLOSE: (5), (7), (9), (12), (13), (14), (17), (24) are inconsistent by
% 176.74/27.65 | | sub-proof #6.
% 176.74/27.65 | |
% 176.74/27.65 | End of split
% 176.74/27.65 |
% 176.74/27.65 End of proof
% 176.74/27.65
% 176.74/27.65 Sub-proof #6 shows that the following formulas are inconsistent:
% 176.74/27.65 ----------------------------------------------------------------
% 176.74/27.65 (1) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 176.74/27.65 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 176.74/27.65 (2) ~ (all_6_1 = e1)
% 176.74/27.65 (3) op(unit, e1) = e1
% 176.74/27.65 (4) op(e2, all_52_1) = unit
% 176.74/27.65 (5) all_58_1 = all_52_1
% 176.74/27.65 (6) all_58_1 = e1
% 176.74/27.65 (7) op(e2, e1) = all_61_9
% 176.74/27.65 (8) op(all_61_9, e1) = all_6_1
% 176.74/27.65
% 176.74/27.65 Begin of proof
% 176.74/27.65 |
% 176.74/27.65 | COMBINE_EQS: (5), (6) imply:
% 176.74/27.65 | (9) all_52_1 = e1
% 176.74/27.65 |
% 176.74/27.65 | SIMP: (9) implies:
% 176.74/27.65 | (10) all_52_1 = e1
% 176.74/27.65 |
% 176.74/27.65 | REDUCE: (4), (10) imply:
% 176.74/27.65 | (11) op(e2, e1) = unit
% 176.74/27.65 |
% 176.74/27.65 | REF_CLOSE: (1), (2), (3), (7), (8), (11) are inconsistent by sub-proof #7.
% 176.74/27.65 |
% 176.74/27.65 End of proof
% 176.74/27.65
% 176.74/27.65 Sub-proof #7 shows that the following formulas are inconsistent:
% 176.74/27.65 ----------------------------------------------------------------
% 176.74/27.65 (1) op(e2, e1) = unit
% 176.74/27.65 (2) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 176.74/27.65 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 176.74/27.65 (3) ~ (all_6_1 = e1)
% 176.74/27.65 (4) op(unit, e1) = e1
% 176.74/27.65 (5) op(e2, e1) = all_61_9
% 176.74/27.65 (6) op(all_61_9, e1) = all_6_1
% 176.74/27.65
% 176.74/27.65 Begin of proof
% 176.74/27.65 |
% 176.74/27.65 | GROUND_INST: instantiating (2) with all_61_9, unit, e1, e2, simplifying with
% 176.74/27.65 | (1), (5) gives:
% 176.74/27.65 | (7) all_61_9 = unit
% 176.74/27.65 |
% 176.74/27.65 | REDUCE: (6), (7) imply:
% 176.74/27.65 | (8) op(unit, e1) = all_6_1
% 176.74/27.65 |
% 176.74/27.65 | GROUND_INST: instantiating (2) with e1, all_6_1, e1, unit, simplifying with
% 176.74/27.65 | (4), (8) gives:
% 176.74/27.65 | (9) all_6_1 = e1
% 176.74/27.65 |
% 176.74/27.65 | REDUCE: (3), (9) imply:
% 176.74/27.65 | (10) $false
% 176.74/27.65 |
% 176.74/27.65 | CLOSE: (10) is inconsistent.
% 176.74/27.65 |
% 176.74/27.65 End of proof
% 176.74/27.65
% 176.74/27.65 Sub-proof #8 shows that the following formulas are inconsistent:
% 176.74/27.65 ----------------------------------------------------------------
% 176.74/27.65 (1) all_56_0 = e3 | all_56_0 = e2 | all_56_0 = e1 | all_56_0 = e0
% 176.74/27.65 (2) ~ (all_58_1 = e3) | all_58_0 = e2
% 176.85/27.65 (3) op(e3, all_52_0) = unit
% 176.85/27.65 (4) all_63_4 = all_14_1
% 176.85/27.65 (5) ~ (all_52_3 = e3)
% 176.85/27.65 (6) all_58_0 = all_52_0
% 176.85/27.65 (7) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 176.85/27.65 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 176.85/27.65 (8) ~ (all_14_1 = e1)
% 176.85/27.65 (9) op(e2, unit) = e2
% 176.85/27.65 (10) op(e2, e2) = e1
% 176.85/27.65 (11) ~ (all_14_1 = e2)
% 176.85/27.65 (12) all_63_4 = e3 | all_63_4 = e2 | all_63_4 = e1 | all_63_4 = e0
% 176.85/27.65 (13) ~ (all_58_0 = e2) | all_58_1 = e3
% 176.85/27.65 (14) ~ (all_58_0 = e0) | all_58_3 = e3
% 176.85/27.65 (15) op(all_14_1, e3) = e1
% 176.85/27.65 (16) ~ (e2 = e1)
% 176.85/27.65 (17) op(unit, e1) = e1
% 176.85/27.65 (18) all_58_3 = all_52_3
% 176.85/27.65 (19) all_58_2 = all_52_2
% 176.85/27.65 (20) unit = e2 | unit = e1 | unit = e0
% 176.85/27.65 (21) op(e3, e3) = e2
% 176.85/27.65 (22) all_58_1 = all_52_1
% 176.85/27.65 (23) op(e3, e1) = all_4_1
% 176.85/27.65 (24) op(e3, e2) = all_14_1
% 176.85/27.65 (25) ~ (all_58_2 = e3) | all_58_0 = e1
% 176.85/27.65 (26) op(all_4_1, e1) = e2
% 176.85/27.65 (27) ~ (unit = e3)
% 176.85/27.65 (28) ~ (all_14_1 = e0) | ( ~ (all_14_0 = e1) & op(e0, e3) = all_14_0 &
% 176.85/27.65 $i(all_14_0))
% 176.85/27.65 (29) all_56_0 = all_52_0
% 176.85/27.65 (30) ~ (all_58_0 = e1) | all_58_2 = e3
% 176.85/27.65
% 176.85/27.65 Begin of proof
% 176.85/27.65 |
% 176.85/27.65 | BETA: splitting (14) gives:
% 176.85/27.65 |
% 176.85/27.65 | Case 1:
% 176.85/27.65 | |
% 176.85/27.65 | | (31) ~ (all_58_0 = e0)
% 176.85/27.65 | |
% 176.85/27.65 | | REDUCE: (6), (31) imply:
% 176.85/27.65 | | (32) ~ (all_52_0 = e0)
% 176.85/27.65 | |
% 176.85/27.65 | | BETA: splitting (25) gives:
% 176.85/27.65 | |
% 176.85/27.65 | | Case 1:
% 176.85/27.65 | | |
% 176.85/27.65 | | | (33) ~ (all_58_2 = e3)
% 176.85/27.65 | | |
% 176.85/27.65 | | | REDUCE: (19), (33) imply:
% 176.85/27.65 | | | (34) ~ (all_52_2 = e3)
% 176.85/27.65 | | |
% 176.85/27.65 | | | BETA: splitting (30) gives:
% 176.85/27.65 | | |
% 176.85/27.65 | | | Case 1:
% 176.85/27.65 | | | |
% 176.85/27.65 | | | | (35) ~ (all_58_0 = e1)
% 176.85/27.65 | | | |
% 176.85/27.65 | | | | REDUCE: (6), (35) imply:
% 176.85/27.65 | | | | (36) ~ (all_52_0 = e1)
% 176.85/27.65 | | | |
% 176.85/27.65 | | | | REF_CLOSE: (1), (2), (3), (4), (6), (7), (8), (9), (10), (11), (12),
% 176.85/27.65 | | | | (13), (15), (16), (20), (21), (22), (24), (27), (28), (29),
% 176.85/27.65 | | | | (32), (36) are inconsistent by sub-proof #302.
% 176.85/27.65 | | | |
% 176.85/27.65 | | | Case 2:
% 176.85/27.65 | | | |
% 176.85/27.65 | | | | (37) all_58_2 = e3
% 176.85/27.65 | | | |
% 176.85/27.65 | | | | REF_CLOSE: (19), (34), (37) are inconsistent by sub-proof #507.
% 176.85/27.65 | | | |
% 176.85/27.65 | | | End of split
% 176.85/27.65 | | |
% 176.85/27.65 | | Case 2:
% 176.85/27.65 | | |
% 176.85/27.65 | | | (38) all_58_0 = e1
% 176.85/27.65 | | |
% 176.85/27.65 | | | COMBINE_EQS: (6), (38) imply:
% 176.85/27.65 | | | (39) all_52_0 = e1
% 176.85/27.65 | | |
% 176.85/27.65 | | | SIMP: (39) implies:
% 176.85/27.65 | | | (40) all_52_0 = e1
% 176.85/27.65 | | |
% 176.85/27.65 | | | REDUCE: (3), (40) imply:
% 176.85/27.65 | | | (41) op(e3, e1) = unit
% 176.85/27.65 | | |
% 176.85/27.65 | | | REF_CLOSE: (7), (16), (17), (23), (26), (41) are inconsistent by sub-proof
% 176.85/27.65 | | | #22.
% 176.85/27.65 | | |
% 176.85/27.65 | | End of split
% 176.85/27.65 | |
% 176.85/27.65 | Case 2:
% 176.85/27.65 | |
% 176.85/27.65 | | (42) all_58_3 = e3
% 176.85/27.65 | |
% 176.85/27.65 | | REF_CLOSE: (5), (18), (42) are inconsistent by sub-proof #509.
% 176.85/27.65 | |
% 176.85/27.65 | End of split
% 176.85/27.65 |
% 176.85/27.65 End of proof
% 176.85/27.65
% 176.85/27.65 Sub-proof #9 shows that the following formulas are inconsistent:
% 176.85/27.65 ----------------------------------------------------------------
% 176.85/27.65 (1) ~ (all_58_2 = e0) | all_58_3 = e1
% 176.85/27.65 (2) all_56_2 = e3 | all_56_2 = e2 | all_56_2 = e1 | all_56_2 = e0
% 176.85/27.65 (3) all_56_2 = all_52_2
% 176.85/27.65 (4) op(e2, all_61_13) = all_61_14
% 176.85/27.65 (5) ~ (all_52_0 = all_52_3)
% 176.85/27.65 (6) all_58_0 = all_52_0
% 176.85/27.65 (7) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 176.85/27.65 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 176.85/27.65 (8) ~ (all_58_3 = e2) | all_58_1 = e0
% 176.85/27.65 (9) ~ (all_58_2 = e2) | all_58_1 = e1
% 176.85/27.65 (10) op(e0, e2) = all_61_7
% 176.85/27.65 (11) op(unit, e1) = e1
% 176.85/27.65 (12) op(all_61_7, e2) = all_61_11
% 176.85/27.66 (13) all_56_3 = e3 | all_56_3 = e2 | all_56_3 = e1 | all_56_3 = e0
% 176.85/27.66 (14) all_58_3 = all_52_3
% 176.85/27.66 (15) ~ (e3 = e2)
% 176.85/27.66 (16) op(e2, all_52_1) = unit
% 176.85/27.66 (17) all_58_2 = all_52_2
% 176.85/27.66 (18) ~ (all_58_1 = e0) | all_58_3 = e2
% 176.85/27.66 (19) op(e1, e1) = e3
% 176.85/27.66 (20) op(e2, e0) = all_61_13
% 176.85/27.66 (21) ~ (all_52_3 = e1)
% 176.85/27.66 (22) op(e2, e1) = all_12_1
% 176.85/27.66 (23) all_56_3 = all_52_3
% 176.85/27.66 (24) op(all_12_1, e2) = e3
% 176.85/27.66 (25) all_58_1 = all_52_1
% 176.85/27.66 (26) ~ (all_58_2 = e3) | all_58_0 = e1
% 176.85/27.66 (27) ~ (all_61_9 = e1)
% 176.85/27.66 (28) ~ (all_61_14 = e2)
% 176.85/27.66 (29) op(e1, all_52_2) = unit
% 176.85/27.66 (30) op(e2, e1) = all_61_9
% 176.85/27.66 (31) ~ (all_58_1 = e1) | all_58_2 = e2
% 176.85/27.66 (32) ~ (unit = e3)
% 176.85/27.66 (33) op(e0, e0) = e2
% 176.85/27.66 (34) op(all_61_13, e2) = all_65_29
% 176.85/27.66 (35) op(e0, all_52_3) = unit
% 176.85/27.66 (36) ~ (all_52_2 = all_52_3)
% 176.85/27.66 (37) op(e2, all_61_7) = all_65_29
% 176.85/27.66 (38) op(unit, e2) = e2
% 176.85/27.66
% 176.85/27.66 Begin of proof
% 176.85/27.66 |
% 176.85/27.66 | BETA: splitting (1) gives:
% 176.85/27.66 |
% 176.85/27.66 | Case 1:
% 176.85/27.66 | |
% 176.85/27.66 | | (39) ~ (all_58_2 = e0)
% 176.85/27.66 | |
% 176.85/27.66 | | REDUCE: (17), (39) imply:
% 176.85/27.66 | | (40) ~ (all_52_2 = e0)
% 176.85/27.66 | |
% 176.85/27.66 | | BETA: splitting (18) gives:
% 176.85/27.66 | |
% 176.85/27.66 | | Case 1:
% 176.85/27.66 | | |
% 176.85/27.66 | | | (41) ~ (all_58_1 = e0)
% 176.85/27.66 | | |
% 176.85/27.66 | | | REDUCE: (25), (41) imply:
% 176.85/27.66 | | | (42) ~ (all_52_1 = e0)
% 176.85/27.66 | | |
% 176.85/27.66 | | | BETA: splitting (8) gives:
% 176.85/27.66 | | |
% 176.85/27.66 | | | Case 1:
% 176.85/27.66 | | | |
% 176.85/27.66 | | | | (43) ~ (all_58_3 = e2)
% 176.85/27.66 | | | |
% 176.85/27.66 | | | | REDUCE: (14), (43) imply:
% 176.85/27.66 | | | | (44) ~ (all_52_3 = e2)
% 176.85/27.66 | | | |
% 176.85/27.66 | | | | BETA: splitting (31) gives:
% 176.85/27.66 | | | |
% 176.85/27.66 | | | | Case 1:
% 176.85/27.66 | | | | |
% 176.85/27.66 | | | | | (45) ~ (all_58_1 = e1)
% 176.85/27.66 | | | | |
% 176.85/27.66 | | | | | REDUCE: (25), (45) imply:
% 176.85/27.66 | | | | | (46) ~ (all_52_1 = e1)
% 176.85/27.66 | | | | |
% 176.85/27.66 | | | | | BETA: splitting (9) gives:
% 176.85/27.66 | | | | |
% 176.85/27.66 | | | | | Case 1:
% 176.85/27.66 | | | | | |
% 176.85/27.66 | | | | | | (47) ~ (all_58_2 = e2)
% 176.85/27.66 | | | | | |
% 176.85/27.66 | | | | | | REDUCE: (17), (47) imply:
% 176.85/27.66 | | | | | | (48) ~ (all_52_2 = e2)
% 176.85/27.66 | | | | | |
% 176.85/27.66 | | | | | | BETA: splitting (26) gives:
% 176.85/27.66 | | | | | |
% 176.85/27.66 | | | | | | Case 1:
% 176.85/27.66 | | | | | | |
% 176.85/27.66 | | | | | | | (49) ~ (all_58_2 = e3)
% 176.85/27.66 | | | | | | |
% 176.85/27.66 | | | | | | | REDUCE: (17), (49) imply:
% 176.85/27.66 | | | | | | | (50) ~ (all_52_2 = e3)
% 176.85/27.66 | | | | | | |
% 176.85/27.66 | | | | | | | REF_CLOSE: (2), (3), (7), (19), (29), (32), (40), (48), (50) are
% 176.85/27.66 | | | | | | | inconsistent by sub-proof #54.
% 176.85/27.66 | | | | | | |
% 176.85/27.66 | | | | | | Case 2:
% 176.85/27.66 | | | | | | |
% 176.85/27.66 | | | | | | | (51) all_58_2 = e3
% 176.85/27.66 | | | | | | | (52) all_58_0 = e1
% 176.85/27.66 | | | | | | |
% 176.85/27.66 | | | | | | | COMBINE_EQS: (6), (52) imply:
% 176.85/27.66 | | | | | | | (53) all_52_0 = e1
% 176.85/27.66 | | | | | | |
% 176.85/27.66 | | | | | | | SIMP: (53) implies:
% 176.85/27.66 | | | | | | | (54) all_52_0 = e1
% 176.85/27.66 | | | | | | |
% 176.85/27.66 | | | | | | | COMBINE_EQS: (17), (51) imply:
% 176.85/27.66 | | | | | | | (55) all_52_2 = e3
% 176.85/27.66 | | | | | | |
% 176.85/27.66 | | | | | | | SIMP: (55) implies:
% 176.85/27.66 | | | | | | | (56) all_52_2 = e3
% 176.85/27.66 | | | | | | |
% 176.85/27.66 | | | | | | | REDUCE: (5), (54) imply:
% 176.85/27.66 | | | | | | | (57) ~ (all_52_3 = e1)
% 176.85/27.66 | | | | | | |
% 176.85/27.66 | | | | | | | REDUCE: (36), (56) imply:
% 176.85/27.66 | | | | | | | (58) ~ (all_52_3 = e3)
% 176.85/27.66 | | | | | | |
% 176.85/27.66 | | | | | | | SIMP: (58) implies:
% 176.85/27.66 | | | | | | | (59) ~ (all_52_3 = e3)
% 176.85/27.66 | | | | | | |
% 176.85/27.66 | | | | | | | REF_CLOSE: (7), (11), (13), (21), (23), (27), (30), (33), (35),
% 176.85/27.66 | | | | | | | (44), (59) are inconsistent by sub-proof #385.
% 176.85/27.66 | | | | | | |
% 176.85/27.66 | | | | | | End of split
% 176.85/27.66 | | | | | |
% 176.85/27.66 | | | | | Case 2:
% 176.85/27.66 | | | | | |
% 176.85/27.66 | | | | | | (60) all_58_1 = e1
% 176.85/27.66 | | | | | |
% 176.85/27.66 | | | | | | REF_CLOSE: (25), (46), (60) are inconsistent by sub-proof #424.
% 176.85/27.66 | | | | | |
% 176.85/27.66 | | | | | End of split
% 176.85/27.66 | | | | |
% 176.85/27.66 | | | | Case 2:
% 176.85/27.66 | | | | |
% 176.85/27.66 | | | | | (61) all_58_1 = e1
% 176.85/27.66 | | | | |
% 176.85/27.66 | | | | | REF_CLOSE: (7), (15), (16), (22), (24), (25), (38), (61) are
% 176.85/27.66 | | | | | inconsistent by sub-proof #11.
% 176.85/27.66 | | | | |
% 176.85/27.66 | | | | End of split
% 176.85/27.66 | | | |
% 176.85/27.66 | | | Case 2:
% 176.85/27.66 | | | |
% 176.85/27.66 | | | | (62) all_58_1 = e0
% 176.85/27.66 | | | |
% 176.85/27.66 | | | | REF_CLOSE: (25), (42), (62) are inconsistent by sub-proof #462.
% 176.85/27.66 | | | |
% 176.85/27.66 | | | End of split
% 176.85/27.66 | | |
% 176.85/27.66 | | Case 2:
% 176.85/27.66 | | |
% 176.85/27.66 | | | (63) all_58_3 = e2
% 176.85/27.66 | | | (64) all_58_1 = e0
% 176.85/27.66 | | |
% 176.85/27.66 | | | REF_CLOSE: (4), (7), (10), (12), (14), (16), (20), (25), (28), (34), (35),
% 176.85/27.66 | | | (37), (38), (63), (64) are inconsistent by sub-proof #208.
% 176.85/27.66 | | |
% 176.85/27.66 | | End of split
% 176.85/27.66 | |
% 176.85/27.66 | Case 2:
% 176.85/27.66 | |
% 176.85/27.66 | | (65) all_58_3 = e1
% 176.85/27.66 | |
% 176.85/27.66 | | REF_CLOSE: (14), (21), (65) are inconsistent by sub-proof #460.
% 176.85/27.66 | |
% 176.85/27.66 | End of split
% 176.85/27.66 |
% 176.85/27.66 End of proof
% 176.85/27.66
% 176.85/27.66 Sub-proof #10 shows that the following formulas are inconsistent:
% 176.85/27.66 ----------------------------------------------------------------
% 176.85/27.66 (1) op(e0, e0) = e3
% 176.85/27.66 (2) all_56_2 = e3 | all_56_2 = e2 | all_56_2 = e1 | all_56_2 = e0
% 176.85/27.66 (3) all_56_2 = all_52_2
% 176.85/27.66 (4) all_58_0 = all_52_0
% 176.85/27.66 (5) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 176.85/27.66 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 176.85/27.66 (6) ~ (all_58_3 = e2) | all_58_1 = e0
% 176.85/27.66 (7) all_56_3 = e3 | all_56_3 = e2 | all_56_3 = e1 | all_56_3 = e0
% 176.85/27.66 (8) all_58_3 = all_52_3
% 176.85/27.66 (9) ~ (all_52_2 = e2)
% 176.85/27.66 (10) op(e1, e1) = e3
% 176.85/27.66 (11) ~ (all_58_3 = e3) | all_58_0 = e0
% 176.85/27.66 (12) ~ (all_52_3 = e1)
% 176.85/27.66 (13) all_56_3 = all_52_3
% 176.85/27.66 (14) all_58_1 = all_52_1
% 176.85/27.66 (15) ~ (all_52_0 = all_52_2)
% 176.85/27.66 (16) op(e1, all_52_2) = unit
% 176.85/27.66 (17) ~ (unit = e3)
% 176.85/27.66 (18) op(e0, all_52_3) = unit
% 176.85/27.66 (19) ~ (all_52_2 = all_52_3)
% 176.85/27.66 (20) ~ (all_52_1 = e0)
% 176.85/27.66
% 176.85/27.66 Begin of proof
% 176.85/27.66 |
% 176.85/27.66 | BETA: splitting (6) gives:
% 176.85/27.66 |
% 176.85/27.66 | Case 1:
% 176.85/27.66 | |
% 176.85/27.66 | | (21) ~ (all_58_3 = e2)
% 176.85/27.66 | |
% 176.85/27.66 | | REDUCE: (8), (21) imply:
% 176.85/27.66 | | (22) ~ (all_52_3 = e2)
% 176.85/27.66 | |
% 176.85/27.66 | | BETA: splitting (11) gives:
% 176.85/27.66 | |
% 176.85/27.66 | | Case 1:
% 176.85/27.66 | | |
% 176.85/27.66 | | | (23) ~ (all_58_3 = e3)
% 176.85/27.66 | | |
% 176.85/27.66 | | | REDUCE: (8), (23) imply:
% 176.85/27.66 | | | (24) ~ (all_52_3 = e3)
% 176.85/27.66 | | |
% 176.85/27.66 | | | REF_CLOSE: (1), (5), (7), (12), (13), (17), (18), (22), (24) are
% 176.85/27.66 | | | inconsistent by sub-proof #439.
% 176.85/27.66 | | |
% 176.85/27.66 | | Case 2:
% 176.85/27.66 | | |
% 176.85/27.66 | | | (25) all_58_3 = e3
% 176.85/27.66 | | | (26) all_58_0 = e0
% 176.85/27.66 | | |
% 176.85/27.66 | | | REF_CLOSE: (2), (3), (4), (5), (8), (9), (10), (15), (16), (17), (19),
% 176.85/27.66 | | | (25), (26) are inconsistent by sub-proof #33.
% 176.85/27.66 | | |
% 176.85/27.66 | | End of split
% 176.85/27.66 | |
% 176.85/27.66 | Case 2:
% 176.85/27.66 | |
% 176.85/27.66 | | (27) all_58_1 = e0
% 176.85/27.66 | |
% 176.85/27.66 | | REF_CLOSE: (14), (20), (27) are inconsistent by sub-proof #462.
% 176.85/27.66 | |
% 176.85/27.66 | End of split
% 176.85/27.66 |
% 176.85/27.66 End of proof
% 176.85/27.66
% 176.85/27.66 Sub-proof #11 shows that the following formulas are inconsistent:
% 176.85/27.66 ----------------------------------------------------------------
% 176.85/27.66 (1) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 176.85/27.66 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 176.85/27.66 (2) ~ (e3 = e2)
% 176.85/27.66 (3) op(e2, all_52_1) = unit
% 176.85/27.66 (4) op(e2, e1) = all_12_1
% 176.85/27.66 (5) op(all_12_1, e2) = e3
% 176.85/27.66 (6) all_58_1 = all_52_1
% 176.85/27.66 (7) all_58_1 = e1
% 176.85/27.66 (8) op(unit, e2) = e2
% 176.85/27.66
% 176.85/27.66 Begin of proof
% 176.85/27.66 |
% 176.85/27.66 | COMBINE_EQS: (6), (7) imply:
% 176.85/27.66 | (9) all_52_1 = e1
% 176.85/27.66 |
% 176.85/27.66 | SIMP: (9) implies:
% 176.85/27.66 | (10) all_52_1 = e1
% 176.85/27.66 |
% 176.85/27.66 | REDUCE: (3), (10) imply:
% 176.85/27.66 | (11) op(e2, e1) = unit
% 176.85/27.66 |
% 176.85/27.66 | REF_CLOSE: (1), (2), (4), (5), (8), (11) are inconsistent by sub-proof #13.
% 176.85/27.66 |
% 176.85/27.66 End of proof
% 176.85/27.66
% 176.85/27.66 Sub-proof #12 shows that the following formulas are inconsistent:
% 176.85/27.66 ----------------------------------------------------------------
% 176.85/27.66 (1) all_56_2 = e3 | all_56_2 = e2 | all_56_2 = e1 | all_56_2 = e0
% 176.85/27.66 (2) all_56_2 = all_52_2
% 176.85/27.66 (3) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 176.85/27.66 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 176.85/27.66 (4) ~ (all_52_2 = e0)
% 176.85/27.66 (5) ~ (all_52_2 = e3)
% 176.85/27.66 (6) ~ (all_58_2 = e2) | all_58_1 = e1
% 176.85/27.66 (7) op(e2, all_52_1) = unit
% 176.85/27.66 (8) all_58_2 = all_52_2
% 176.85/27.66 (9) op(e1, e1) = e3
% 176.85/27.66 (10) op(e2, e1) = all_12_1
% 176.85/27.66 (11) op(all_12_1, e2) = e3
% 176.85/27.66 (12) all_58_1 = all_52_1
% 176.85/27.66 (13) op(e1, all_52_2) = unit
% 176.85/27.66 (14) ~ (unit = e3)
% 176.85/27.66 (15) op(unit, e2) = e2
% 176.85/27.66
% 176.85/27.66 Begin of proof
% 176.85/27.66 |
% 176.85/27.66 | BETA: splitting (6) gives:
% 176.85/27.66 |
% 176.85/27.66 | Case 1:
% 176.85/27.66 | |
% 176.85/27.66 | | (16) ~ (all_58_2 = e2)
% 176.85/27.66 | |
% 176.85/27.66 | | REDUCE: (8), (16) imply:
% 176.85/27.66 | | (17) ~ (all_52_2 = e2)
% 176.85/27.66 | |
% 176.85/27.66 | | REF_CLOSE: (1), (2), (3), (4), (5), (9), (13), (14), (17) are inconsistent
% 176.85/27.66 | | by sub-proof #54.
% 176.85/27.66 | |
% 176.85/27.66 | Case 2:
% 176.85/27.66 | |
% 176.85/27.66 | | (18) all_58_2 = e2
% 176.85/27.66 | | (19) all_58_1 = e1
% 176.85/27.66 | |
% 176.85/27.66 | | COMBINE_EQS: (12), (19) imply:
% 176.85/27.66 | | (20) all_52_1 = e1
% 176.85/27.66 | |
% 176.85/27.66 | | SIMP: (20) implies:
% 176.85/27.66 | | (21) all_52_1 = e1
% 176.85/27.66 | |
% 176.85/27.66 | | COMBINE_EQS: (8), (18) imply:
% 176.85/27.66 | | (22) all_52_2 = e2
% 176.85/27.66 | |
% 176.85/27.66 | | SIMP: (22) implies:
% 176.85/27.66 | | (23) all_52_2 = e2
% 176.85/27.66 | |
% 176.85/27.66 | | REDUCE: (5), (23) imply:
% 176.85/27.66 | | (24) ~ (e3 = e2)
% 176.85/27.66 | |
% 176.85/27.66 | | SIMP: (24) implies:
% 176.85/27.66 | | (25) ~ (e3 = e2)
% 176.85/27.66 | |
% 176.85/27.66 | | REDUCE: (7), (21) imply:
% 176.85/27.66 | | (26) op(e2, e1) = unit
% 176.85/27.66 | |
% 176.85/27.66 | | REF_CLOSE: (3), (10), (11), (15), (25), (26) are inconsistent by sub-proof
% 176.85/27.66 | | #13.
% 176.85/27.66 | |
% 176.85/27.66 | End of split
% 176.85/27.66 |
% 176.85/27.66 End of proof
% 176.85/27.66
% 176.85/27.66 Sub-proof #13 shows that the following formulas are inconsistent:
% 176.85/27.66 ----------------------------------------------------------------
% 176.85/27.66 (1) op(e2, e1) = unit
% 176.85/27.66 (2) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 176.85/27.66 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 176.85/27.66 (3) ~ (e3 = e2)
% 176.85/27.66 (4) op(e2, e1) = all_12_1
% 176.85/27.66 (5) op(all_12_1, e2) = e3
% 176.85/27.66 (6) op(unit, e2) = e2
% 176.85/27.66
% 176.85/27.66 Begin of proof
% 176.85/27.66 |
% 176.85/27.66 | GROUND_INST: instantiating (2) with all_12_1, unit, e1, e2, simplifying with
% 176.85/27.66 | (1), (4) gives:
% 176.85/27.66 | (7) all_12_1 = unit
% 176.85/27.66 |
% 176.85/27.66 | REDUCE: (5), (7) imply:
% 176.85/27.66 | (8) op(unit, e2) = e3
% 176.85/27.66 |
% 176.85/27.66 | GROUND_INST: instantiating (2) with e2, e3, e2, unit, simplifying with (6),
% 176.85/27.66 | (8) gives:
% 176.85/27.66 | (9) e3 = e2
% 176.85/27.66 |
% 176.85/27.66 | REDUCE: (3), (9) imply:
% 176.85/27.66 | (10) $false
% 176.85/27.66 |
% 176.85/27.66 | CLOSE: (10) is inconsistent.
% 176.85/27.66 |
% 176.85/27.66 End of proof
% 176.85/27.66
% 176.85/27.66 Sub-proof #14 shows that the following formulas are inconsistent:
% 176.85/27.66 ----------------------------------------------------------------
% 176.85/27.66 (1) op(all_61_13, e0) = all_61_13
% 176.85/27.66 (2) op(all_4_1, e0) = all_65_35
% 176.85/27.66 (3) ~ (all_52_3 = e3)
% 176.85/27.66 (4) ~ (all_52_1 = all_52_3)
% 176.85/27.66 (5) op(e3, e1) = unit
% 176.85/27.66 (6) all_56_1 = e3 | all_56_1 = e2 | all_56_1 = e1 | all_56_1 = e0
% 176.85/27.66 (7) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 176.85/27.66 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 176.85/27.66 (8) ~ (all_52_1 = e3)
% 176.85/27.66 (9) op(e2, e2) = e1
% 176.85/27.66 (10) ~ (all_58_3 = e2) | all_58_1 = e0
% 176.85/27.66 (11) op(e0, e0) = e0
% 176.85/27.66 (12) all_56_3 = e3 | all_56_3 = e2 | all_56_3 = e1 | all_56_3 = e0
% 176.85/27.66 (13) all_56_1 = all_52_1
% 176.85/27.66 (14) all_58_3 = all_52_3
% 176.85/27.66 (15) op(e2, all_52_1) = unit
% 176.85/27.66 (16) ~ (all_58_1 = e0) | all_58_3 = e2
% 176.85/27.66 (17) op(e2, e0) = all_61_13
% 176.85/27.66 (18) ~ (all_52_3 = e1)
% 176.85/27.66 (19) all_56_3 = all_52_3
% 176.85/27.66 (20) all_58_1 = all_52_1
% 176.85/27.66 (21) op(e3, e1) = all_4_1
% 176.85/27.66 (22) ~ (all_52_1 = e1)
% 176.85/27.66 (23) op(unit, e0) = e0
% 176.85/27.66 (24) ~ (all_61_13 = e0)
% 176.85/27.66 (25) op(e0, all_52_3) = unit
% 176.85/27.66
% 176.85/27.66 Begin of proof
% 176.85/27.66 |
% 176.85/27.66 | GROUND_INST: instantiating (7) with all_4_1, unit, e1, e3, simplifying with
% 176.85/27.66 | (5), (21) gives:
% 176.85/27.66 | (26) all_4_1 = unit
% 176.85/27.66 |
% 176.85/27.66 | REDUCE: (2), (26) imply:
% 176.85/27.66 | (27) op(unit, e0) = all_65_35
% 176.85/27.66 |
% 176.85/27.66 | GROUND_INST: instantiating (7) with e0, all_65_35, e0, unit, simplifying with
% 176.85/27.66 | (23), (27) gives:
% 176.85/27.66 | (28) all_65_35 = e0
% 176.85/27.66 |
% 176.85/27.66 | BETA: splitting (10) gives:
% 176.85/27.66 |
% 176.85/27.66 | Case 1:
% 176.85/27.66 | |
% 176.85/27.66 | | (29) ~ (all_58_3 = e2)
% 176.85/27.66 | |
% 176.85/27.66 | | REDUCE: (14), (29) imply:
% 176.85/27.66 | | (30) ~ (all_52_3 = e2)
% 176.85/27.66 | |
% 176.85/27.66 | | REF_CLOSE: (3), (4), (6), (7), (8), (9), (11), (12), (13), (14), (15), (16),
% 176.85/27.66 | | (18), (19), (20), (22), (25), (30) are inconsistent by sub-proof
% 176.85/27.66 | | #327.
% 176.85/27.66 | |
% 176.85/27.66 | Case 2:
% 176.85/27.66 | |
% 176.85/27.66 | | (31) all_58_1 = e0
% 176.85/27.66 | |
% 176.85/27.66 | | REF_CLOSE: (1), (7), (15), (17), (20), (23), (24), (31) are inconsistent by
% 176.85/27.66 | | sub-proof #87.
% 176.85/27.66 | |
% 176.85/27.66 | End of split
% 176.85/27.66 |
% 176.85/27.66 End of proof
% 176.85/27.66
% 176.85/27.66 Sub-proof #15 shows that the following formulas are inconsistent:
% 176.85/27.66 ----------------------------------------------------------------
% 176.85/27.66 (1) op(all_61_3, e0) = all_65_55
% 176.85/27.66 (2) all_56_0 = e3 | all_56_0 = e2 | all_56_0 = e1 | all_56_0 = e0
% 176.85/27.66 (3) all_56_2 = e3 | all_56_2 = e2 | all_56_2 = e1 | all_56_2 = e0
% 176.85/27.66 (4) all_56_2 = all_52_2
% 176.85/27.66 (5) op(e3, all_52_0) = unit
% 176.85/27.66 (6) ~ (all_52_3 = e2)
% 176.85/27.66 (7) all_58_0 = all_52_0
% 176.85/27.66 (8) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 176.85/27.66 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 176.85/27.66 (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (inv(v2) = v1) |
% 176.85/27.66 ~ (inv(v2) = v0))
% 176.85/27.66 (10) ~ (all_52_0 = e1)
% 176.85/27.66 (11) op(all_61_12, e0) = all_14_1
% 176.85/27.66 (12) ~ (all_58_0 = e0) | all_58_3 = e3
% 176.85/27.66 (13) inv(unit) = unit
% 176.85/27.66 (14) ~ (all_52_1 = all_52_2)
% 176.85/27.66 (15) inv(e2) = all_52_1
% 176.85/27.66 (16) ~ (all_52_0 = e2)
% 176.85/27.66 (17) op(unit, e1) = e1
% 176.85/27.66 (18) all_56_3 = e3 | all_56_3 = e2 | all_56_3 = e1 | all_56_3 = e0
% 176.85/27.66 (19) all_58_3 = all_52_3
% 176.85/27.66 (20) unit = e2 | unit = e1 | unit = e0
% 176.85/27.66 (21) ~ (all_58_3 = e3) | all_58_0 = e0
% 176.85/27.66 (22) ~ (all_52_3 = e1)
% 176.85/27.66 (23) op(e3, e0) = all_61_12
% 176.85/27.66 (24) all_56_3 = all_52_3
% 176.85/27.66 (25) op(e3, e3) = e2
% 176.85/27.66 (26) op(e3, unit) = e3
% 176.85/27.66 (27) ~ (all_61_12 = all_14_1)
% 176.85/27.66 (28) op(e3, e2) = all_14_1
% 176.85/27.66 (29) op(unit, e0) = e0
% 176.85/27.66 (30) ~ (all_52_0 = all_52_2)
% 176.85/27.66 (31) op(e1, all_52_2) = unit
% 176.85/27.66 (32) op(e2, e1) = all_61_9
% 176.85/27.66 (33) ~ (unit = e3)
% 176.85/27.66 (34) ~ (all_14_1 = e0) | ( ~ (all_14_0 = e1) & op(e0, e3) = all_14_0 &
% 176.85/27.66 $i(all_14_0))
% 176.85/27.66 (35) op(e1, all_61_9) = all_14_1
% 176.85/27.66 (36) all_56_0 = all_52_0
% 176.85/27.66 (37) ~ (all_61_12 = e2)
% 176.85/27.66 (38) op(e0, all_52_3) = unit
% 176.85/27.66 (39) ~ (all_52_2 = all_52_3)
% 176.85/27.66 (40) op(e0, e3) = all_61_3
% 176.85/27.66
% 176.85/27.66 Begin of proof
% 176.85/27.66 |
% 176.85/27.66 | BETA: splitting (21) gives:
% 176.85/27.66 |
% 176.85/27.66 | Case 1:
% 176.85/27.66 | |
% 176.85/27.66 | | (41) ~ (all_58_3 = e3)
% 176.85/27.66 | |
% 176.85/27.66 | | REDUCE: (19), (41) imply:
% 176.85/27.66 | | (42) ~ (all_52_3 = e3)
% 176.85/27.66 | |
% 176.85/27.66 | | BETA: splitting (12) gives:
% 176.85/27.66 | |
% 176.85/27.66 | | Case 1:
% 176.85/27.66 | | |
% 176.85/27.66 | | | (43) ~ (all_58_0 = e0)
% 176.85/27.66 | | |
% 176.85/27.66 | | | REDUCE: (7), (43) imply:
% 176.85/27.66 | | | (44) ~ (all_52_0 = e0)
% 176.85/27.66 | | |
% 176.85/27.66 | | | BETA: splitting (18) gives:
% 176.85/27.66 | | |
% 176.85/27.66 | | | Case 1:
% 176.85/27.66 | | | |
% 176.85/27.66 | | | | (45) all_56_3 = e3
% 176.85/27.66 | | | |
% 176.85/27.66 | | | | REF_CLOSE: (24), (42), (45) are inconsistent by sub-proof #442.
% 176.85/27.66 | | | |
% 176.85/27.66 | | | Case 2:
% 176.85/27.66 | | | |
% 176.85/27.66 | | | | (46) all_56_3 = e2 | all_56_3 = e1 | all_56_3 = e0
% 176.85/27.66 | | | |
% 176.85/27.66 | | | | BETA: splitting (46) gives:
% 176.85/27.66 | | | |
% 176.85/27.66 | | | | Case 1:
% 176.85/27.66 | | | | |
% 176.85/27.66 | | | | | (47) all_56_3 = e2
% 176.85/27.66 | | | | |
% 176.85/27.66 | | | | | REF_CLOSE: (6), (24), (47) are inconsistent by sub-proof #441.
% 176.85/27.66 | | | | |
% 176.85/27.66 | | | | Case 2:
% 176.85/27.66 | | | | |
% 176.85/27.66 | | | | | (48) all_56_3 = e1 | all_56_3 = e0
% 176.85/27.66 | | | | |
% 176.85/27.66 | | | | | BETA: splitting (2) gives:
% 176.85/27.66 | | | | |
% 176.85/27.66 | | | | | Case 1:
% 176.85/27.66 | | | | | |
% 176.85/27.66 | | | | | | (49) all_56_0 = e3
% 176.85/27.66 | | | | | |
% 176.85/27.66 | | | | | | COMBINE_EQS: (36), (49) imply:
% 176.85/27.66 | | | | | | (50) all_52_0 = e3
% 176.85/27.66 | | | | | |
% 176.85/27.66 | | | | | | SIMP: (50) implies:
% 176.85/27.66 | | | | | | (51) all_52_0 = e3
% 176.85/27.66 | | | | | |
% 176.85/27.66 | | | | | | REDUCE: (30), (51) imply:
% 176.85/27.66 | | | | | | (52) ~ (all_52_2 = e3)
% 176.85/27.66 | | | | | |
% 176.85/27.66 | | | | | | SIMP: (52) implies:
% 176.85/27.66 | | | | | | (53) ~ (all_52_2 = e3)
% 176.85/27.66 | | | | | |
% 176.85/27.66 | | | | | | REDUCE: (5), (51) imply:
% 176.85/27.66 | | | | | | (54) op(e3, e3) = unit
% 176.85/27.66 | | | | | |
% 176.85/27.66 | | | | | | BETA: splitting (48) gives:
% 176.85/27.66 | | | | | |
% 176.85/27.66 | | | | | | Case 1:
% 176.85/27.66 | | | | | | |
% 176.85/27.66 | | | | | | | (55) all_56_3 = e1
% 176.85/27.66 | | | | | | |
% 176.85/27.66 | | | | | | | REF_CLOSE: (22), (24), (55) are inconsistent by sub-proof #440.
% 176.85/27.66 | | | | | | |
% 176.85/27.66 | | | | | | Case 2:
% 176.85/27.66 | | | | | | |
% 176.85/27.66 | | | | | | | (56) all_56_3 = e0
% 176.85/27.66 | | | | | | |
% 176.85/27.66 | | | | | | | COMBINE_EQS: (24), (56) imply:
% 176.85/27.66 | | | | | | | (57) all_52_3 = e0
% 176.85/27.66 | | | | | | |
% 176.85/27.66 | | | | | | | SIMP: (57) implies:
% 176.85/27.66 | | | | | | | (58) all_52_3 = e0
% 176.85/27.66 | | | | | | |
% 176.85/27.66 | | | | | | | REDUCE: (39), (58) imply:
% 176.85/27.66 | | | | | | | (59) ~ (all_52_2 = e0)
% 176.85/27.67 | | | | | | |
% 176.85/27.67 | | | | | | | GROUND_INST: instantiating (8) with e2, unit, e3, e3, simplifying
% 176.85/27.67 | | | | | | | with (25), (54) gives:
% 176.85/27.67 | | | | | | | (60) unit = e2
% 176.85/27.67 | | | | | | |
% 176.85/27.67 | | | | | | | REDUCE: (13), (60) imply:
% 176.85/27.67 | | | | | | | (61) inv(e2) = e2
% 176.85/27.67 | | | | | | |
% 176.85/27.67 | | | | | | | REDUCE: (17), (60) imply:
% 176.85/27.67 | | | | | | | (62) op(e2, e1) = e1
% 176.85/27.67 | | | | | | |
% 176.85/27.67 | | | | | | | REDUCE: (26), (60) imply:
% 176.85/27.67 | | | | | | | (63) op(e3, e2) = e3
% 176.85/27.67 | | | | | | |
% 176.85/27.67 | | | | | | | GROUND_INST: instantiating (8) with all_61_9, e1, e1, e2,
% 176.85/27.67 | | | | | | | simplifying with (32), (62) gives:
% 176.85/27.67 | | | | | | | (64) all_61_9 = e1
% 176.85/27.67 | | | | | | |
% 176.85/27.67 | | | | | | | GROUND_INST: instantiating (8) with all_14_1, e3, e2, e3,
% 176.85/27.67 | | | | | | | simplifying with (28), (63) gives:
% 176.85/27.67 | | | | | | | (65) all_14_1 = e3
% 176.85/27.67 | | | | | | |
% 176.85/27.67 | | | | | | | GROUND_INST: instantiating (9) with all_52_1, e2, e2, simplifying
% 176.85/27.67 | | | | | | | with (15), (61) gives:
% 176.85/27.67 | | | | | | | (66) all_52_1 = e2
% 176.85/27.67 | | | | | | |
% 176.85/27.67 | | | | | | | REDUCE: (14), (66) imply:
% 176.85/27.67 | | | | | | | (67) ~ (all_52_2 = e2)
% 176.85/27.67 | | | | | | |
% 176.85/27.67 | | | | | | | SIMP: (67) implies:
% 176.85/27.67 | | | | | | | (68) ~ (all_52_2 = e2)
% 176.85/27.67 | | | | | | |
% 176.85/27.67 | | | | | | | REDUCE: (35), (64), (65) imply:
% 176.85/27.67 | | | | | | | (69) op(e1, e1) = e3
% 176.85/27.67 | | | | | | |
% 176.85/27.67 | | | | | | | REF_CLOSE: (3), (4), (8), (31), (33), (53), (59), (68), (69) are
% 176.85/27.67 | | | | | | | inconsistent by sub-proof #54.
% 176.85/27.67 | | | | | | |
% 176.85/27.67 | | | | | | End of split
% 176.85/27.67 | | | | | |
% 176.85/27.67 | | | | | Case 2:
% 176.85/27.67 | | | | | |
% 176.85/27.67 | | | | | | (70) all_56_0 = e2 | all_56_0 = e1 | all_56_0 = e0
% 176.85/27.67 | | | | | |
% 176.85/27.67 | | | | | | REF_CLOSE: (10), (16), (36), (44), (70) are inconsistent by
% 176.85/27.67 | | | | | | sub-proof #512.
% 176.85/27.67 | | | | | |
% 176.85/27.67 | | | | | End of split
% 176.85/27.67 | | | | |
% 176.85/27.67 | | | | End of split
% 176.85/27.67 | | | |
% 176.85/27.67 | | | End of split
% 176.85/27.67 | | |
% 176.85/27.67 | | Case 2:
% 176.85/27.67 | | |
% 176.85/27.67 | | | (71) all_58_3 = e3
% 176.85/27.67 | | |
% 176.85/27.67 | | | COMBINE_EQS: (19), (71) imply:
% 176.85/27.67 | | | (72) all_52_3 = e3
% 176.85/27.67 | | |
% 176.85/27.67 | | | REDUCE: (42), (72) imply:
% 176.85/27.67 | | | (73) $false
% 176.85/27.67 | | |
% 176.85/27.67 | | | CLOSE: (73) is inconsistent.
% 176.85/27.67 | | |
% 176.85/27.67 | | End of split
% 176.85/27.67 | |
% 176.85/27.67 | Case 2:
% 176.85/27.67 | |
% 176.85/27.67 | | (74) all_58_3 = e3
% 176.85/27.67 | | (75) all_58_0 = e0
% 176.85/27.67 | |
% 176.85/27.67 | | COMBINE_EQS: (7), (75) imply:
% 176.85/27.67 | | (76) all_52_0 = e0
% 176.85/27.67 | |
% 176.85/27.67 | | SIMP: (76) implies:
% 176.85/27.67 | | (77) all_52_0 = e0
% 176.85/27.67 | |
% 176.85/27.67 | | COMBINE_EQS: (19), (74) imply:
% 176.85/27.67 | | (78) all_52_3 = e3
% 176.85/27.67 | |
% 176.85/27.67 | | REDUCE: (5), (77) imply:
% 176.85/27.67 | | (79) op(e3, e0) = unit
% 176.85/27.67 | |
% 176.85/27.67 | | REDUCE: (38), (78) imply:
% 176.85/27.67 | | (80) op(e0, e3) = unit
% 176.85/27.67 | |
% 176.85/27.67 | | GROUND_INST: instantiating (8) with all_61_3, unit, e3, e0, simplifying with
% 176.85/27.67 | | (40), (80) gives:
% 176.85/27.67 | | (81) all_61_3 = unit
% 176.85/27.67 | |
% 176.85/27.67 | | GROUND_INST: instantiating (8) with all_61_12, unit, e0, e3, simplifying
% 176.85/27.67 | | with (23), (79) gives:
% 176.85/27.67 | | (82) all_61_12 = unit
% 176.85/27.67 | |
% 176.85/27.67 | | REDUCE: (27), (82) imply:
% 176.85/27.67 | | (83) ~ (all_14_1 = unit)
% 176.85/27.67 | |
% 176.85/27.67 | | SIMP: (83) implies:
% 176.85/27.67 | | (84) ~ (all_14_1 = unit)
% 176.85/27.67 | |
% 176.85/27.67 | | REDUCE: (37), (82) imply:
% 176.85/27.67 | | (85) ~ (unit = e2)
% 176.85/27.67 | |
% 176.85/27.67 | | REDUCE: (1), (81) imply:
% 176.85/27.67 | | (86) op(unit, e0) = all_65_55
% 176.85/27.67 | |
% 176.85/27.67 | | REDUCE: (11), (82) imply:
% 176.85/27.67 | | (87) op(unit, e0) = all_14_1
% 176.85/27.67 | |
% 176.85/27.67 | | GROUND_INST: instantiating (8) with e0, all_65_55, e0, unit, simplifying
% 176.85/27.67 | | with (29), (86) gives:
% 176.85/27.67 | | (88) all_65_55 = e0
% 176.85/27.67 | |
% 176.85/27.67 | | GROUND_INST: instantiating (8) with all_14_1, all_65_55, e0, unit,
% 176.85/27.67 | | simplifying with (86), (87) gives:
% 176.85/27.67 | | (89) all_65_55 = all_14_1
% 176.85/27.67 | |
% 176.85/27.67 | | COMBINE_EQS: (88), (89) imply:
% 176.85/27.67 | | (90) all_14_1 = e0
% 176.85/27.67 | |
% 176.85/27.67 | | REDUCE: (84), (90) imply:
% 176.85/27.67 | | (91) ~ (unit = e0)
% 176.85/27.67 | |
% 176.85/27.67 | | SIMP: (91) implies:
% 176.85/27.67 | | (92) ~ (unit = e0)
% 176.85/27.67 | |
% 176.85/27.67 | | BETA: splitting (20) gives:
% 176.85/27.67 | |
% 176.85/27.67 | | Case 1:
% 176.85/27.67 | | |
% 176.85/27.67 | | | (93) unit = e2
% 176.85/27.67 | | |
% 176.85/27.67 | | | REDUCE: (85), (93) imply:
% 176.85/27.67 | | | (94) $false
% 176.85/27.67 | | |
% 176.85/27.67 | | | CLOSE: (94) is inconsistent.
% 176.85/27.67 | | |
% 176.85/27.67 | | Case 2:
% 176.85/27.67 | | |
% 176.85/27.67 | | | (95) unit = e1 | unit = e0
% 176.85/27.67 | | |
% 176.85/27.67 | | | BETA: splitting (95) gives:
% 176.85/27.67 | | |
% 176.85/27.67 | | | Case 1:
% 176.85/27.67 | | | |
% 176.85/27.67 | | | | (96) unit = e1
% 176.85/27.67 | | | |
% 176.85/27.67 | | | | REDUCE: (80), (96) imply:
% 176.85/27.67 | | | | (97) op(e0, e3) = e1
% 176.85/27.67 | | | |
% 176.85/27.67 | | | | BETA: splitting (34) gives:
% 176.85/27.67 | | | |
% 176.85/27.67 | | | | Case 1:
% 176.85/27.67 | | | | |
% 176.85/27.67 | | | | | (98) ~ (all_14_1 = e0)
% 176.85/27.67 | | | | |
% 176.85/27.67 | | | | | REF_CLOSE: (8), (11), (23), (29), (79), (98) are inconsistent by
% 176.85/27.67 | | | | | sub-proof #336.
% 176.85/27.67 | | | | |
% 176.85/27.67 | | | | Case 2:
% 176.85/27.67 | | | | |
% 176.85/27.67 | | | | | (99) ~ (all_14_0 = e1) & op(e0, e3) = all_14_0 & $i(all_14_0)
% 176.85/27.67 | | | | |
% 176.85/27.67 | | | | | ALPHA: (99) implies:
% 176.85/27.67 | | | | | (100) ~ (all_14_0 = e1)
% 176.85/27.67 | | | | | (101) op(e0, e3) = all_14_0
% 176.85/27.67 | | | | |
% 176.85/27.67 | | | | | REF_CLOSE: (8), (97), (100), (101) are inconsistent by sub-proof #304.
% 176.85/27.67 | | | | |
% 176.85/27.67 | | | | End of split
% 176.85/27.67 | | | |
% 176.85/27.67 | | | Case 2:
% 176.85/27.67 | | | |
% 176.85/27.67 | | | | (102) ~ (unit = e1)
% 176.85/27.67 | | | |
% 176.85/27.67 | | | | REF_CLOSE: (92), (95), (102) are inconsistent by sub-proof #419.
% 176.85/27.67 | | | |
% 176.85/27.67 | | | End of split
% 176.85/27.67 | | |
% 176.85/27.67 | | End of split
% 176.85/27.67 | |
% 176.85/27.67 | End of split
% 176.85/27.67 |
% 176.85/27.67 End of proof
% 176.85/27.67
% 176.85/27.67 Sub-proof #16 shows that the following formulas are inconsistent:
% 176.85/27.67 ----------------------------------------------------------------
% 176.85/27.67 (1) ~ (all_22_1 = e1)
% 176.85/27.67 (2) all_63_7 = e3 | all_63_7 = e2 | all_63_7 = e1 | all_63_7 = e0
% 176.85/27.67 (3) ~ (unit = e1)
% 176.85/27.67 (4) all_63_13 = e3 | all_63_13 = e2 | all_63_13 = e1 | all_63_13 = e0
% 176.85/27.67 (5) ~ (all_22_1 = e0)
% 176.85/27.67 (6) all_63_13 = all_22_1
% 176.85/27.67 (7) unit = e2 | unit = e1 | unit = e0
% 176.85/27.67 (8) ~ (unit = e0)
% 176.85/27.67 (9) ~ (all_22_1 = unit)
% 176.85/27.67 (10) all_63_7 = all_22_1
% 176.85/27.67 (11) ~ (all_22_1 = e3)
% 176.85/27.67
% 176.85/27.67 Begin of proof
% 176.85/27.67 |
% 176.85/27.67 | BETA: splitting (2) gives:
% 176.85/27.67 |
% 176.85/27.67 | Case 1:
% 176.85/27.67 | |
% 176.85/27.67 | | (12) all_63_7 = e3
% 176.85/27.67 | |
% 176.85/27.67 | | COMBINE_EQS: (10), (12) imply:
% 176.85/27.67 | | (13) all_22_1 = e3
% 176.85/27.67 | |
% 176.85/27.67 | | REDUCE: (11), (13) imply:
% 176.85/27.67 | | (14) $false
% 176.85/27.67 | |
% 176.85/27.67 | | CLOSE: (14) is inconsistent.
% 176.85/27.67 | |
% 176.85/27.67 | Case 2:
% 176.85/27.67 | |
% 176.85/27.67 | | (15) ~ (all_63_7 = e3)
% 176.85/27.67 | | (16) all_63_7 = e2 | all_63_7 = e1 | all_63_7 = e0
% 176.85/27.67 | |
% 176.85/27.67 | | BETA: splitting (16) gives:
% 176.85/27.67 | |
% 176.85/27.67 | | Case 1:
% 176.85/27.67 | | |
% 176.85/27.67 | | | (17) all_63_7 = e2
% 176.85/27.67 | | |
% 176.85/27.67 | | | COMBINE_EQS: (10), (17) imply:
% 176.85/27.67 | | | (18) all_22_1 = e2
% 176.85/27.67 | | |
% 176.85/27.67 | | | REDUCE: (9), (18) imply:
% 176.85/27.67 | | | (19) ~ (unit = e2)
% 176.85/27.67 | | |
% 176.85/27.67 | | | SIMP: (19) implies:
% 176.85/27.67 | | | (20) ~ (unit = e2)
% 176.85/27.67 | | |
% 176.85/27.67 | | | REF_CLOSE: (3), (7), (8), (20) are inconsistent by sub-proof #398.
% 176.85/27.67 | | |
% 176.85/27.67 | | Case 2:
% 176.85/27.67 | | |
% 176.85/27.67 | | | (21) ~ (all_63_7 = e2)
% 176.85/27.67 | | |
% 176.85/27.67 | | | REDUCE: (10), (21) imply:
% 176.85/27.67 | | | (22) ~ (all_22_1 = e2)
% 176.85/27.67 | | |
% 176.85/27.67 | | | REF_CLOSE: (1), (4), (5), (6), (11), (22) are inconsistent by sub-proof
% 176.85/27.67 | | | #414.
% 176.85/27.67 | | |
% 176.85/27.67 | | End of split
% 176.85/27.67 | |
% 176.85/27.67 | End of split
% 176.85/27.67 |
% 176.85/27.67 End of proof
% 176.85/27.67
% 176.85/27.67 Sub-proof #17 shows that the following formulas are inconsistent:
% 176.85/27.67 ----------------------------------------------------------------
% 176.85/27.67 (1) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 176.85/27.67 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 176.85/27.67 (2) op(e3, e0) = unit
% 176.85/27.67 (3) op(e3, e0) = all_28_1
% 176.85/27.67 (4) ~ (e2 = e0)
% 176.85/27.67 (5) op(all_28_1, e0) = e2
% 176.85/27.67 (6) op(unit, e0) = e0
% 176.85/27.67
% 176.85/27.67 Begin of proof
% 176.85/27.67 |
% 176.85/27.67 | GROUND_INST: instantiating (1) with all_28_1, unit, e0, e3, simplifying with
% 176.85/27.67 | (2), (3) gives:
% 176.85/27.67 | (7) all_28_1 = unit
% 176.85/27.67 |
% 176.85/27.67 | REDUCE: (5), (7) imply:
% 176.85/27.67 | (8) op(unit, e0) = e2
% 176.85/27.67 |
% 176.85/27.67 | GROUND_INST: instantiating (1) with e0, e2, e0, unit, simplifying with (6),
% 176.85/27.67 | (8) gives:
% 176.85/27.67 | (9) e2 = e0
% 176.85/27.67 |
% 176.85/27.67 | REDUCE: (4), (9) imply:
% 176.85/27.67 | (10) $false
% 176.85/27.67 |
% 176.85/27.67 | CLOSE: (10) is inconsistent.
% 176.85/27.67 |
% 176.85/27.67 End of proof
% 176.85/27.67
% 176.85/27.67 Sub-proof #18 shows that the following formulas are inconsistent:
% 176.85/27.67 ----------------------------------------------------------------
% 176.85/27.67 (1) ~ (all_52_3 = e3)
% 176.85/27.67 (2) ~ (all_52_3 = e2)
% 176.85/27.67 (3) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 176.85/27.67 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 176.85/27.67 (4) all_56_3 = e3 | all_56_3 = e2 | all_56_3 = e1 | all_56_3 = e0
% 176.85/27.67 (5) op(e1, e1) = e3
% 176.85/27.67 (6) ~ (all_52_3 = e1)
% 176.85/27.67 (7) all_56_3 = all_52_3
% 176.85/27.67 (8) op(e1, unit) = e1
% 176.85/27.67 (9) op(e0, e0) = e1
% 176.85/27.67 (10) ~ (unit = e3)
% 176.85/27.67 (11) op(e0, all_52_3) = unit
% 176.85/27.67
% 176.85/27.67 Begin of proof
% 176.85/27.67 |
% 176.85/27.67 | BETA: splitting (4) gives:
% 176.85/27.67 |
% 176.85/27.67 | Case 1:
% 176.85/27.67 | |
% 176.85/27.67 | | (12) all_56_3 = e3
% 176.85/27.67 | |
% 176.85/27.67 | | REF_CLOSE: (1), (7), (12) are inconsistent by sub-proof #442.
% 176.85/27.67 | |
% 176.85/27.67 | Case 2:
% 176.85/27.67 | |
% 176.85/27.67 | | (13) all_56_3 = e2 | all_56_3 = e1 | all_56_3 = e0
% 176.85/27.67 | |
% 176.85/27.67 | | BETA: splitting (13) gives:
% 176.85/27.67 | |
% 176.85/27.67 | | Case 1:
% 176.85/27.67 | | |
% 176.85/27.67 | | | (14) all_56_3 = e2
% 176.85/27.67 | | |
% 176.85/27.67 | | | REF_CLOSE: (2), (7), (14) are inconsistent by sub-proof #441.
% 176.85/27.67 | | |
% 176.85/27.67 | | Case 2:
% 176.85/27.67 | | |
% 176.85/27.67 | | | (15) all_56_3 = e1 | all_56_3 = e0
% 176.85/27.67 | | |
% 176.85/27.67 | | | BETA: splitting (15) gives:
% 176.85/27.67 | | |
% 176.85/27.67 | | | Case 1:
% 176.85/27.67 | | | |
% 176.85/27.67 | | | | (16) all_56_3 = e1
% 176.85/27.67 | | | |
% 176.85/27.67 | | | | REF_CLOSE: (6), (7), (16) are inconsistent by sub-proof #440.
% 176.85/27.67 | | | |
% 176.85/27.67 | | | Case 2:
% 176.85/27.67 | | | |
% 176.85/27.67 | | | | (17) all_56_3 = e0
% 176.85/27.67 | | | |
% 176.85/27.67 | | | | COMBINE_EQS: (7), (17) imply:
% 176.85/27.67 | | | | (18) all_52_3 = e0
% 176.85/27.67 | | | |
% 176.85/27.67 | | | | SIMP: (18) implies:
% 176.85/27.67 | | | | (19) all_52_3 = e0
% 176.85/27.67 | | | |
% 176.85/27.67 | | | | REDUCE: (11), (19) imply:
% 176.85/27.67 | | | | (20) op(e0, e0) = unit
% 176.85/27.67 | | | |
% 176.85/27.67 | | | | GROUND_INST: instantiating (3) with e1, unit, e0, e0, simplifying with
% 176.85/27.67 | | | | (9), (20) gives:
% 176.85/27.67 | | | | (21) unit = e1
% 176.85/27.67 | | | |
% 176.85/27.67 | | | | REDUCE: (10), (21) imply:
% 176.85/27.67 | | | | (22) ~ (e3 = e1)
% 176.85/27.67 | | | |
% 176.85/27.67 | | | | SIMP: (22) implies:
% 176.85/27.67 | | | | (23) ~ (e3 = e1)
% 176.85/27.67 | | | |
% 176.85/27.67 | | | | REDUCE: (8), (21) imply:
% 176.85/27.67 | | | | (24) op(e1, e1) = e1
% 176.85/27.67 | | | |
% 176.85/27.67 | | | | GROUND_INST: instantiating (3) with e3, e1, e1, e1, simplifying with
% 176.85/27.67 | | | | (5), (24) gives:
% 176.85/27.67 | | | | (25) e3 = e1
% 176.85/27.67 | | | |
% 176.85/27.67 | | | | REDUCE: (23), (25) imply:
% 176.85/27.67 | | | | (26) $false
% 176.85/27.67 | | | |
% 176.85/27.67 | | | | CLOSE: (26) is inconsistent.
% 176.85/27.67 | | | |
% 176.85/27.67 | | | End of split
% 176.85/27.67 | | |
% 176.85/27.67 | | End of split
% 176.85/27.67 | |
% 176.85/27.67 | End of split
% 176.85/27.67 |
% 176.85/27.67 End of proof
% 176.85/27.67
% 176.85/27.67 Sub-proof #19 shows that the following formulas are inconsistent:
% 176.85/27.67 ----------------------------------------------------------------
% 176.85/27.67 (1) op(all_61_14, e1) = all_65_46
% 176.85/27.67 (2) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 176.85/27.67 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 176.85/27.67 (3) op(all_61_11, e1) = all_28_1
% 176.85/27.67 (4) ~ (all_32_1 = e0) | ( ~ (all_32_0 = e2) & op(e0, e1) = all_32_0 &
% 176.85/27.67 $i(all_32_0))
% 176.85/27.67 (5) op(all_61_14, e0) = all_4_1
% 176.85/27.67 (6) op(e0, e1) = unit
% 176.85/27.67 (7) op(unit, e1) = e1
% 176.85/27.67 (8) op(e0, e1) = all_61_11
% 176.85/27.67 (9) op(e1, e0) = all_61_14
% 176.85/27.67 (10) op(e1, e0) = unit
% 176.85/27.67 (11) op(unit, e0) = e0
% 176.85/27.67 (12) op(e0, all_28_1) = e2
% 176.85/27.67 (13) op(all_61_11, e0) = all_65_71
% 176.85/27.67 (14) all_32_1 = all_4_1
% 176.85/27.67
% 176.85/27.67 Begin of proof
% 176.85/27.67 |
% 176.85/27.67 | GROUND_INST: instantiating (2) with all_61_11, unit, e1, e0, simplifying with
% 176.85/27.67 | (6), (8) gives:
% 176.85/27.67 | (15) all_61_11 = unit
% 176.85/27.67 |
% 176.85/27.67 | GROUND_INST: instantiating (2) with all_61_14, unit, e0, e1, simplifying with
% 176.85/27.67 | (9), (10) gives:
% 176.85/27.67 | (16) all_61_14 = unit
% 176.85/27.67 |
% 176.85/27.67 | REDUCE: (3), (15) imply:
% 176.85/27.67 | (17) op(unit, e1) = all_28_1
% 176.85/27.67 |
% 176.85/27.67 | REDUCE: (13), (15) imply:
% 176.85/27.67 | (18) op(unit, e0) = all_65_71
% 176.85/27.67 |
% 176.85/27.67 | REDUCE: (1), (16) imply:
% 176.85/27.67 | (19) op(unit, e1) = all_65_46
% 176.85/27.67 |
% 176.85/27.67 | REDUCE: (5), (16) imply:
% 176.85/27.67 | (20) op(unit, e0) = all_4_1
% 176.85/27.67 |
% 176.85/27.67 | GROUND_INST: instantiating (2) with e0, all_65_71, e0, unit, simplifying with
% 176.85/27.67 | (11), (18) gives:
% 176.85/27.67 | (21) all_65_71 = e0
% 176.85/27.67 |
% 176.85/27.67 | GROUND_INST: instantiating (2) with all_4_1, all_65_71, e0, unit, simplifying
% 176.85/27.67 | with (18), (20) gives:
% 176.85/27.67 | (22) all_65_71 = all_4_1
% 176.85/27.67 |
% 176.85/27.67 | GROUND_INST: instantiating (2) with e1, all_65_46, e1, unit, simplifying with
% 176.85/27.67 | (7), (19) gives:
% 176.85/27.67 | (23) all_65_46 = e1
% 176.85/27.67 |
% 176.85/27.67 | GROUND_INST: instantiating (2) with all_28_1, all_65_46, e1, unit, simplifying
% 176.85/27.67 | with (17), (19) gives:
% 176.85/27.67 | (24) all_65_46 = all_28_1
% 176.85/27.67 |
% 176.85/27.67 | COMBINE_EQS: (23), (24) imply:
% 176.85/27.67 | (25) all_28_1 = e1
% 176.85/27.67 |
% 176.85/27.67 | COMBINE_EQS: (21), (22) imply:
% 176.85/27.67 | (26) all_4_1 = e0
% 176.85/27.67 |
% 176.85/27.67 | COMBINE_EQS: (14), (26) imply:
% 176.85/27.67 | (27) all_32_1 = e0
% 176.85/27.67 |
% 176.85/27.67 | REDUCE: (12), (25) imply:
% 176.85/27.67 | (28) op(e0, e1) = e2
% 176.85/27.67 |
% 176.85/27.67 | BETA: splitting (4) gives:
% 176.85/27.67 |
% 176.85/27.67 | Case 1:
% 176.85/27.67 | |
% 176.85/27.67 | | (29) ~ (all_32_1 = e0)
% 176.85/27.67 | |
% 176.85/27.67 | | REDUCE: (27), (29) imply:
% 176.85/27.67 | | (30) $false
% 176.85/27.67 | |
% 176.85/27.67 | | CLOSE: (30) is inconsistent.
% 176.85/27.67 | |
% 176.85/27.67 | Case 2:
% 176.85/27.67 | |
% 176.85/27.67 | | (31) ~ (all_32_0 = e2) & op(e0, e1) = all_32_0 & $i(all_32_0)
% 176.85/27.67 | |
% 176.85/27.67 | | ALPHA: (31) implies:
% 176.85/27.67 | | (32) ~ (all_32_0 = e2)
% 176.85/27.67 | | (33) op(e0, e1) = all_32_0
% 176.85/27.67 | |
% 176.85/27.67 | | GROUND_INST: instantiating (2) with e2, all_32_0, e1, e0, simplifying with
% 176.85/27.67 | | (28), (33) gives:
% 176.85/27.67 | | (34) all_32_0 = e2
% 176.85/27.67 | |
% 176.85/27.67 | | REDUCE: (32), (34) imply:
% 176.85/27.67 | | (35) $false
% 176.85/27.67 | |
% 176.85/27.67 | | CLOSE: (35) is inconsistent.
% 176.85/27.67 | |
% 176.85/27.67 | End of split
% 176.85/27.67 |
% 176.85/27.67 End of proof
% 176.85/27.67
% 176.85/27.67 Sub-proof #20 shows that the following formulas are inconsistent:
% 176.85/27.67 ----------------------------------------------------------------
% 176.85/27.67 (1) ~ (all_58_2 = e0) | all_58_3 = e1
% 176.85/27.67 (2) all_56_2 = e3 | all_56_2 = e2 | all_56_2 = e1 | all_56_2 = e0
% 176.85/27.67 (3) all_56_2 = all_52_2
% 176.85/27.67 (4) ~ (all_61_9 = e2)
% 176.85/27.67 (5) op(e3, all_52_0) = unit
% 176.85/27.67 (6) op(all_61_9, e2) = all_61_9
% 176.85/27.67 (7) all_58_0 = all_52_0
% 176.85/27.67 (8) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 176.85/27.67 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 176.85/27.67 (9) ~ (e2 = e1)
% 176.85/27.67 (10) ~ (all_58_2 = e2) | all_58_1 = e1
% 176.85/27.67 (11) op(unit, e1) = e1
% 176.85/27.67 (12) all_58_3 = all_52_3
% 176.85/27.67 (13) op(e2, all_52_1) = unit
% 176.85/27.67 (14) all_58_2 = all_52_2
% 176.85/27.67 (15) op(e1, e1) = e3
% 176.85/27.67 (16) ~ (all_52_3 = e1)
% 176.85/27.67 (17) all_58_1 = all_52_1
% 176.85/27.67 (18) op(e3, e1) = all_4_1
% 176.85/27.67 (19) ~ (all_58_2 = e3) | all_58_0 = e1
% 176.85/27.67 (20) op(e1, all_52_2) = unit
% 176.85/27.67 (21) op(e2, e1) = all_61_9
% 176.85/27.67 (22) op(all_4_1, e1) = e2
% 176.85/27.67 (23) ~ (unit = e3)
% 176.85/27.67 (24) op(unit, e2) = e2
% 176.85/27.67
% 176.85/27.67 Begin of proof
% 176.85/27.67 |
% 176.85/27.67 | BETA: splitting (1) gives:
% 176.85/27.67 |
% 176.85/27.67 | Case 1:
% 176.85/27.67 | |
% 176.85/27.67 | | (25) ~ (all_58_2 = e0)
% 176.85/27.67 | |
% 176.85/27.67 | | REDUCE: (14), (25) imply:
% 176.85/27.67 | | (26) ~ (all_52_2 = e0)
% 176.85/27.67 | |
% 176.85/27.67 | | BETA: splitting (19) gives:
% 176.85/27.67 | |
% 176.85/27.67 | | Case 1:
% 176.85/27.67 | | |
% 176.85/27.67 | | | (27) ~ (all_58_2 = e3)
% 176.85/27.67 | | |
% 176.85/27.67 | | | REDUCE: (14), (27) imply:
% 176.85/27.67 | | | (28) ~ (all_52_2 = e3)
% 176.85/27.67 | | |
% 176.85/27.67 | | | BETA: splitting (10) gives:
% 176.85/27.67 | | |
% 176.85/27.67 | | | Case 1:
% 176.85/27.67 | | | |
% 176.85/27.67 | | | | (29) ~ (all_58_2 = e2)
% 176.85/27.67 | | | |
% 176.85/27.67 | | | | REDUCE: (14), (29) imply:
% 176.85/27.67 | | | | (30) ~ (all_52_2 = e2)
% 176.85/27.67 | | | |
% 176.85/27.67 | | | | REF_CLOSE: (2), (3), (8), (15), (20), (23), (26), (28), (30) are
% 176.85/27.67 | | | | inconsistent by sub-proof #54.
% 176.85/27.67 | | | |
% 176.85/27.67 | | | Case 2:
% 176.85/27.67 | | | |
% 176.85/27.67 | | | | (31) all_58_1 = e1
% 176.85/27.67 | | | |
% 176.85/27.67 | | | | COMBINE_EQS: (17), (31) imply:
% 176.85/27.67 | | | | (32) all_52_1 = e1
% 176.85/27.67 | | | |
% 176.85/27.67 | | | | SIMP: (32) implies:
% 176.85/27.67 | | | | (33) all_52_1 = e1
% 176.85/27.67 | | | |
% 176.85/27.67 | | | | REDUCE: (13), (33) imply:
% 176.85/27.67 | | | | (34) op(e2, e1) = unit
% 176.85/27.67 | | | |
% 176.85/27.67 | | | | REF_CLOSE: (4), (6), (8), (21), (24), (34) are inconsistent by sub-proof
% 176.85/27.67 | | | | #25.
% 176.85/27.67 | | | |
% 176.85/27.67 | | | End of split
% 176.85/27.67 | | |
% 176.85/27.67 | | Case 2:
% 176.85/27.67 | | |
% 176.85/27.67 | | | (35) all_58_0 = e1
% 176.85/27.67 | | |
% 176.85/27.67 | | | REF_CLOSE: (5), (7), (8), (9), (11), (18), (22), (35) are inconsistent by
% 176.85/27.67 | | | sub-proof #21.
% 176.85/27.67 | | |
% 176.85/27.67 | | End of split
% 176.85/27.67 | |
% 176.85/27.67 | Case 2:
% 176.85/27.67 | |
% 176.85/27.67 | | (36) all_58_3 = e1
% 176.85/27.67 | |
% 176.85/27.67 | | REF_CLOSE: (12), (16), (36) are inconsistent by sub-proof #460.
% 176.85/27.67 | |
% 176.85/27.67 | End of split
% 176.85/27.67 |
% 176.85/27.67 End of proof
% 176.85/27.67
% 176.85/27.67 Sub-proof #21 shows that the following formulas are inconsistent:
% 176.85/27.67 ----------------------------------------------------------------
% 176.85/27.67 (1) op(e3, all_52_0) = unit
% 176.85/27.67 (2) all_58_0 = all_52_0
% 176.85/27.67 (3) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 176.85/27.67 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 176.85/27.67 (4) ~ (e2 = e1)
% 176.85/27.67 (5) op(unit, e1) = e1
% 176.85/27.67 (6) op(e3, e1) = all_4_1
% 176.85/27.67 (7) op(all_4_1, e1) = e2
% 176.85/27.67 (8) all_58_0 = e1
% 176.85/27.67
% 176.85/27.67 Begin of proof
% 176.85/27.67 |
% 176.85/27.67 | COMBINE_EQS: (2), (8) imply:
% 176.85/27.67 | (9) all_52_0 = e1
% 176.85/27.67 |
% 176.85/27.67 | SIMP: (9) implies:
% 176.85/27.67 | (10) all_52_0 = e1
% 176.85/27.67 |
% 176.85/27.67 | REDUCE: (1), (10) imply:
% 176.85/27.67 | (11) op(e3, e1) = unit
% 176.85/27.67 |
% 176.85/27.67 | REF_CLOSE: (3), (4), (5), (6), (7), (11) are inconsistent by sub-proof #22.
% 176.85/27.67 |
% 176.85/27.68 End of proof
% 176.85/27.68
% 176.85/27.68 Sub-proof #22 shows that the following formulas are inconsistent:
% 176.85/27.68 ----------------------------------------------------------------
% 176.85/27.68 (1) op(e3, e1) = unit
% 176.85/27.68 (2) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 176.85/27.68 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 176.85/27.68 (3) ~ (e2 = e1)
% 176.85/27.68 (4) op(unit, e1) = e1
% 176.85/27.68 (5) op(e3, e1) = all_4_1
% 176.85/27.68 (6) op(all_4_1, e1) = e2
% 176.85/27.68
% 176.85/27.68 Begin of proof
% 176.85/27.68 |
% 176.85/27.68 | GROUND_INST: instantiating (2) with all_4_1, unit, e1, e3, simplifying with
% 176.85/27.68 | (1), (5) gives:
% 176.85/27.68 | (7) all_4_1 = unit
% 176.85/27.68 |
% 176.85/27.68 | REDUCE: (6), (7) imply:
% 176.85/27.68 | (8) op(unit, e1) = e2
% 176.85/27.68 |
% 176.85/27.68 | GROUND_INST: instantiating (2) with e1, e2, e1, unit, simplifying with (4),
% 176.85/27.68 | (8) gives:
% 176.85/27.68 | (9) e2 = e1
% 176.85/27.68 |
% 176.85/27.68 | REDUCE: (3), (9) imply:
% 176.85/27.68 | (10) $false
% 176.85/27.68 |
% 176.85/27.68 | CLOSE: (10) is inconsistent.
% 176.85/27.68 |
% 176.85/27.68 End of proof
% 176.85/27.68
% 176.85/27.68 Sub-proof #23 shows that the following formulas are inconsistent:
% 176.85/27.68 ----------------------------------------------------------------
% 176.85/27.68 (1) ~ (all_58_2 = e0) | all_58_3 = e1
% 176.85/27.68 (2) all_56_2 = e3 | all_56_2 = e2 | all_56_2 = e1 | all_56_2 = e0
% 176.85/27.68 (3) all_56_2 = all_52_2
% 176.85/27.68 (4) all_58_0 = all_52_0
% 176.85/27.68 (5) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 176.85/27.68 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 176.85/27.68 (6) ~ (all_52_0 = e1)
% 176.85/27.68 (7) op(all_61_14, e0) = all_61_9
% 176.85/27.68 (8) ~ (all_52_2 = e2)
% 176.85/27.68 (9) all_58_2 = all_52_2
% 176.85/27.68 (10) op(e1, e1) = e3
% 176.85/27.68 (11) ~ (all_61_9 = e0)
% 176.85/27.68 (12) op(e1, e0) = all_61_14
% 176.85/27.68 (13) ~ (all_58_2 = e3) | all_58_0 = e1
% 176.85/27.68 (14) op(unit, e0) = e0
% 176.85/27.68 (15) op(e1, all_52_2) = unit
% 176.85/27.68 (16) ~ (unit = e3)
% 176.85/27.68
% 176.85/27.68 Begin of proof
% 176.85/27.68 |
% 176.85/27.68 | BETA: splitting (13) gives:
% 176.85/27.68 |
% 176.85/27.68 | Case 1:
% 176.85/27.68 | |
% 176.85/27.68 | | (17) ~ (all_58_2 = e3)
% 176.85/27.68 | |
% 176.85/27.68 | | REDUCE: (9), (17) imply:
% 176.85/27.68 | | (18) ~ (all_52_2 = e3)
% 176.85/27.68 | |
% 176.85/27.68 | | BETA: splitting (1) gives:
% 176.85/27.68 | |
% 176.85/27.68 | | Case 1:
% 176.85/27.68 | | |
% 176.85/27.68 | | | (19) ~ (all_58_2 = e0)
% 176.85/27.68 | | |
% 176.85/27.68 | | | REDUCE: (9), (19) imply:
% 176.85/27.68 | | | (20) ~ (all_52_2 = e0)
% 176.85/27.68 | | |
% 176.85/27.68 | | | REF_CLOSE: (2), (3), (5), (8), (10), (15), (16), (18), (20) are
% 176.85/27.68 | | | inconsistent by sub-proof #54.
% 176.85/27.68 | | |
% 176.85/27.68 | | Case 2:
% 176.85/27.68 | | |
% 176.85/27.68 | | | (21) all_58_2 = e0
% 176.85/27.68 | | |
% 176.85/27.68 | | | COMBINE_EQS: (9), (21) imply:
% 176.85/27.68 | | | (22) all_52_2 = e0
% 176.85/27.68 | | |
% 176.85/27.68 | | | SIMP: (22) implies:
% 176.85/27.68 | | | (23) all_52_2 = e0
% 176.85/27.68 | | |
% 176.85/27.68 | | | REDUCE: (15), (23) imply:
% 176.85/27.68 | | | (24) op(e1, e0) = unit
% 176.85/27.68 | | |
% 176.85/27.68 | | | REF_CLOSE: (5), (7), (11), (12), (14), (24) are inconsistent by sub-proof
% 176.85/27.68 | | | #24.
% 176.85/27.68 | | |
% 176.85/27.68 | | End of split
% 176.85/27.68 | |
% 176.85/27.68 | Case 2:
% 176.85/27.68 | |
% 176.85/27.68 | | (25) all_58_0 = e1
% 176.85/27.68 | |
% 176.85/27.68 | | REF_CLOSE: (4), (6), (25) are inconsistent by sub-proof #470.
% 176.85/27.68 | |
% 176.85/27.68 | End of split
% 176.85/27.68 |
% 176.85/27.68 End of proof
% 176.85/27.68
% 176.85/27.68 Sub-proof #24 shows that the following formulas are inconsistent:
% 176.85/27.68 ----------------------------------------------------------------
% 176.85/27.68 (1) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 176.85/27.68 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 176.85/27.68 (2) op(all_61_14, e0) = all_61_9
% 176.85/27.68 (3) ~ (all_61_9 = e0)
% 176.85/27.68 (4) op(e1, e0) = all_61_14
% 176.85/27.68 (5) op(e1, e0) = unit
% 176.85/27.68 (6) op(unit, e0) = e0
% 176.85/27.68
% 176.85/27.68 Begin of proof
% 176.85/27.68 |
% 176.85/27.68 | GROUND_INST: instantiating (1) with all_61_14, unit, e0, e1, simplifying with
% 176.85/27.68 | (4), (5) gives:
% 176.85/27.68 | (7) all_61_14 = unit
% 176.85/27.68 |
% 176.85/27.68 | REDUCE: (2), (7) imply:
% 176.85/27.68 | (8) op(unit, e0) = all_61_9
% 176.85/27.68 |
% 176.85/27.68 | GROUND_INST: instantiating (1) with e0, all_61_9, e0, unit, simplifying with
% 176.85/27.68 | (6), (8) gives:
% 176.85/27.68 | (9) all_61_9 = e0
% 176.85/27.68 |
% 176.85/27.68 | REDUCE: (3), (9) imply:
% 176.85/27.68 | (10) $false
% 176.85/27.68 |
% 176.85/27.68 | CLOSE: (10) is inconsistent.
% 176.85/27.68 |
% 176.85/27.68 End of proof
% 176.85/27.68
% 176.85/27.68 Sub-proof #25 shows that the following formulas are inconsistent:
% 176.85/27.68 ----------------------------------------------------------------
% 176.85/27.68 (1) op(e2, e1) = unit
% 176.85/27.68 (2) ~ (all_61_9 = e2)
% 176.85/27.68 (3) op(all_61_9, e2) = all_61_9
% 176.85/27.68 (4) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 176.85/27.68 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 176.85/27.68 (5) op(e2, e1) = all_61_9
% 176.85/27.68 (6) op(unit, e2) = e2
% 176.85/27.68
% 176.85/27.68 Begin of proof
% 176.85/27.68 |
% 176.85/27.68 | GROUND_INST: instantiating (4) with all_61_9, unit, e1, e2, simplifying with
% 176.85/27.68 | (1), (5) gives:
% 176.85/27.68 | (7) all_61_9 = unit
% 176.85/27.68 |
% 176.85/27.68 | REDUCE: (2), (7) imply:
% 176.85/27.68 | (8) ~ (unit = e2)
% 176.85/27.68 |
% 176.85/27.68 | REDUCE: (3), (7) imply:
% 176.85/27.68 | (9) op(unit, e2) = unit
% 176.85/27.68 |
% 176.85/27.68 | GROUND_INST: instantiating (4) with e2, unit, e2, unit, simplifying with (6),
% 176.85/27.68 | (9) gives:
% 176.85/27.68 | (10) unit = e2
% 176.85/27.68 |
% 176.85/27.68 | REDUCE: (8), (10) imply:
% 176.85/27.68 | (11) $false
% 176.85/27.68 |
% 176.85/27.68 | CLOSE: (11) is inconsistent.
% 176.85/27.68 |
% 176.85/27.68 End of proof
% 176.85/27.68
% 176.85/27.68 Sub-proof #26 shows that the following formulas are inconsistent:
% 176.85/27.68 ----------------------------------------------------------------
% 176.85/27.68 (1) op(e2, e0) = all_20_1
% 176.85/27.68 (2) ~ (all_52_3 = e3)
% 176.85/27.68 (3) ~ (all_52_3 = e2)
% 176.85/27.68 (4) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 176.85/27.68 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 176.85/27.68 (5) ~ (all_61_14 = all_20_1)
% 176.85/27.68 (6) ~ (all_61_9 = all_61_14)
% 176.85/27.68 (7) ~ (all_61_14 = e3)
% 176.85/27.68 (8) all_63_11 = e3 | all_63_11 = e2 | all_63_11 = e1 | all_63_11 = e0
% 176.85/27.68 (9) op(unit, e1) = e1
% 176.85/27.68 (10) all_56_3 = e3 | all_56_3 = e2 | all_56_3 = e1 | all_56_3 = e0
% 176.85/27.68 (11) all_63_11 = all_61_14
% 176.85/27.68 (12) ~ (all_52_3 = e1)
% 176.85/27.68 (13) all_56_3 = all_52_3
% 176.85/27.68 (14) op(unit, e0) = e0
% 176.85/27.68 (15) ~ (all_61_14 = e2)
% 176.85/27.68 (16) op(e2, e1) = all_61_9
% 176.85/27.68 (17) op(e0, e0) = e2
% 176.85/27.68 (18) op(e0, all_52_3) = unit
% 176.85/27.68
% 176.85/27.68 Begin of proof
% 176.85/27.68 |
% 176.85/27.68 | BETA: splitting (10) gives:
% 176.85/27.68 |
% 176.85/27.68 | Case 1:
% 176.85/27.68 | |
% 176.85/27.68 | | (19) all_56_3 = e3
% 176.85/27.68 | |
% 176.85/27.68 | | COMBINE_EQS: (13), (19) imply:
% 176.85/27.68 | | (20) all_52_3 = e3
% 176.85/27.68 | |
% 176.85/27.68 | | REDUCE: (2), (20) imply:
% 176.85/27.68 | | (21) $false
% 176.85/27.68 | |
% 176.85/27.68 | | CLOSE: (21) is inconsistent.
% 176.85/27.68 | |
% 176.85/27.68 | Case 2:
% 176.85/27.68 | |
% 176.85/27.68 | | (22) all_56_3 = e2 | all_56_3 = e1 | all_56_3 = e0
% 176.85/27.68 | |
% 176.85/27.68 | | BETA: splitting (22) gives:
% 176.85/27.68 | |
% 176.85/27.68 | | Case 1:
% 176.85/27.68 | | |
% 176.85/27.68 | | | (23) all_56_3 = e2
% 176.85/27.68 | | |
% 176.85/27.68 | | | COMBINE_EQS: (13), (23) imply:
% 176.85/27.68 | | | (24) all_52_3 = e2
% 176.85/27.68 | | |
% 176.85/27.68 | | | REDUCE: (3), (24) imply:
% 176.85/27.68 | | | (25) $false
% 176.85/27.68 | | |
% 176.85/27.68 | | | CLOSE: (25) is inconsistent.
% 176.85/27.68 | | |
% 176.85/27.68 | | Case 2:
% 176.85/27.68 | | |
% 176.85/27.68 | | | (26) all_56_3 = e1 | all_56_3 = e0
% 176.85/27.68 | | |
% 176.85/27.68 | | | BETA: splitting (26) gives:
% 176.85/27.68 | | |
% 176.85/27.68 | | | Case 1:
% 176.85/27.68 | | | |
% 176.85/27.68 | | | | (27) all_56_3 = e1
% 176.85/27.68 | | | |
% 176.85/27.68 | | | | COMBINE_EQS: (13), (27) imply:
% 176.85/27.68 | | | | (28) all_52_3 = e1
% 176.85/27.68 | | | |
% 176.85/27.68 | | | | REDUCE: (12), (28) imply:
% 176.85/27.68 | | | | (29) $false
% 176.85/27.68 | | | |
% 176.85/27.68 | | | | CLOSE: (29) is inconsistent.
% 176.85/27.68 | | | |
% 176.85/27.68 | | | Case 2:
% 176.85/27.68 | | | |
% 176.85/27.68 | | | | (30) all_56_3 = e0
% 176.85/27.68 | | | |
% 176.85/27.68 | | | | COMBINE_EQS: (13), (30) imply:
% 176.85/27.68 | | | | (31) all_52_3 = e0
% 176.85/27.68 | | | |
% 176.85/27.68 | | | | REDUCE: (18), (31) imply:
% 176.85/27.68 | | | | (32) op(e0, e0) = unit
% 176.85/27.68 | | | |
% 176.85/27.68 | | | | GROUND_INST: instantiating (4) with e2, unit, e0, e0, simplifying with
% 176.85/27.68 | | | | (17), (32) gives:
% 176.85/27.68 | | | | (33) unit = e2
% 176.85/27.68 | | | |
% 176.85/27.68 | | | | REDUCE: (9), (33) imply:
% 176.85/27.68 | | | | (34) op(e2, e1) = e1
% 176.85/27.68 | | | |
% 176.85/27.68 | | | | REDUCE: (14), (33) imply:
% 176.85/27.68 | | | | (35) op(e2, e0) = e0
% 176.85/27.68 | | | |
% 176.85/27.68 | | | | GROUND_INST: instantiating (4) with all_20_1, e0, e0, e2, simplifying
% 176.85/27.68 | | | | with (1), (35) gives:
% 176.85/27.68 | | | | (36) all_20_1 = e0
% 176.85/27.68 | | | |
% 176.85/27.68 | | | | GROUND_INST: instantiating (4) with all_61_9, e1, e1, e2, simplifying
% 176.85/27.68 | | | | with (16), (34) gives:
% 176.85/27.68 | | | | (37) all_61_9 = e1
% 176.85/27.68 | | | |
% 176.85/27.68 | | | | REDUCE: (6), (37) imply:
% 176.85/27.68 | | | | (38) ~ (all_61_14 = e1)
% 176.85/27.68 | | | |
% 176.85/27.68 | | | | SIMP: (38) implies:
% 176.85/27.68 | | | | (39) ~ (all_61_14 = e1)
% 176.85/27.68 | | | |
% 176.85/27.68 | | | | REDUCE: (5), (36) imply:
% 176.85/27.68 | | | | (40) ~ (all_61_14 = e0)
% 176.85/27.68 | | | |
% 176.85/27.68 | | | | BETA: splitting (8) gives:
% 176.85/27.68 | | | |
% 176.85/27.68 | | | | Case 1:
% 176.85/27.68 | | | | |
% 176.85/27.68 | | | | | (41) all_63_11 = e3
% 176.85/27.68 | | | | |
% 176.85/27.68 | | | | | COMBINE_EQS: (11), (41) imply:
% 176.85/27.68 | | | | | (42) all_61_14 = e3
% 176.85/27.68 | | | | |
% 176.85/27.68 | | | | | REDUCE: (7), (42) imply:
% 176.85/27.68 | | | | | (43) $false
% 176.85/27.68 | | | | |
% 176.85/27.68 | | | | | CLOSE: (43) is inconsistent.
% 176.85/27.68 | | | | |
% 176.85/27.68 | | | | Case 2:
% 176.85/27.68 | | | | |
% 176.85/27.68 | | | | | (44) all_63_11 = e2 | all_63_11 = e1 | all_63_11 = e0
% 176.85/27.68 | | | | |
% 176.85/27.68 | | | | | REF_CLOSE: (11), (15), (39), (40), (44) are inconsistent by sub-proof
% 176.85/27.68 | | | | | #521.
% 176.85/27.68 | | | | |
% 176.85/27.68 | | | | End of split
% 176.85/27.68 | | | |
% 176.85/27.68 | | | End of split
% 176.85/27.68 | | |
% 176.85/27.68 | | End of split
% 176.85/27.68 | |
% 176.85/27.68 | End of split
% 176.85/27.68 |
% 176.85/27.68 End of proof
% 176.85/27.68
% 176.85/27.68 Sub-proof #27 shows that the following formulas are inconsistent:
% 176.85/27.68 ----------------------------------------------------------------
% 176.85/27.68 (1) op(all_61_14, e1) = all_65_46
% 176.85/27.68 (2) op(all_61_11, e1) = all_61_3
% 176.85/27.68 (3) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 176.85/27.68 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 176.85/27.68 (4) op(e0, e1) = unit
% 176.85/27.68 (5) op(unit, e1) = e1
% 176.85/27.68 (6) op(e0, e1) = all_61_11
% 176.85/27.68 (7) op(e1, all_61_11) = all_65_46
% 176.85/27.68 (8) op(e1, all_61_14) = all_61_12
% 176.85/27.68 (9) op(e1, e0) = all_61_14
% 176.85/27.68 (10) op(e1, e0) = unit
% 176.85/27.68 (11) ~ (all_61_12 = e1)
% 176.85/27.68
% 176.85/27.68 Begin of proof
% 176.85/27.68 |
% 176.85/27.68 | GROUND_INST: instantiating (3) with all_61_11, unit, e1, e0, simplifying with
% 176.85/27.68 | (4), (6) gives:
% 176.85/27.68 | (12) all_61_11 = unit
% 176.85/27.68 |
% 176.85/27.68 | GROUND_INST: instantiating (3) with all_61_14, unit, e0, e1, simplifying with
% 176.85/27.68 | (9), (10) gives:
% 176.85/27.68 | (13) all_61_14 = unit
% 176.85/27.68 |
% 176.85/27.68 | REDUCE: (2), (12) imply:
% 176.85/27.68 | (14) op(unit, e1) = all_61_3
% 176.85/27.68 |
% 176.85/27.68 | REDUCE: (1), (13) imply:
% 176.85/27.68 | (15) op(unit, e1) = all_65_46
% 176.85/27.68 |
% 176.85/27.68 | REDUCE: (7), (12) imply:
% 176.85/27.68 | (16) op(e1, unit) = all_65_46
% 176.85/27.68 |
% 176.85/27.68 | REDUCE: (8), (13) imply:
% 176.85/27.68 | (17) op(e1, unit) = all_61_12
% 176.85/27.68 |
% 176.85/27.68 | GROUND_INST: instantiating (3) with all_61_12, all_65_46, unit, e1,
% 176.85/27.68 | simplifying with (16), (17) gives:
% 176.85/27.68 | (18) all_65_46 = all_61_12
% 176.85/27.68 |
% 176.85/27.68 | GROUND_INST: instantiating (3) with e1, all_65_46, e1, unit, simplifying with
% 176.85/27.68 | (5), (15) gives:
% 176.85/27.68 | (19) all_65_46 = e1
% 176.85/27.68 |
% 176.85/27.68 | GROUND_INST: instantiating (3) with all_61_3, all_65_46, e1, unit, simplifying
% 176.85/27.68 | with (14), (15) gives:
% 176.85/27.68 | (20) all_65_46 = all_61_3
% 176.85/27.68 |
% 176.85/27.68 | COMBINE_EQS: (18), (20) imply:
% 176.85/27.68 | (21) all_61_3 = all_61_12
% 176.85/27.68 |
% 176.85/27.68 | COMBINE_EQS: (19), (20) imply:
% 176.85/27.68 | (22) all_61_3 = e1
% 176.85/27.68 |
% 176.85/27.68 | COMBINE_EQS: (21), (22) imply:
% 176.85/27.68 | (23) all_61_12 = e1
% 176.85/27.68 |
% 176.85/27.68 | REDUCE: (11), (23) imply:
% 176.85/27.68 | (24) $false
% 176.85/27.68 |
% 176.85/27.68 | CLOSE: (24) is inconsistent.
% 176.85/27.68 |
% 176.85/27.68 End of proof
% 176.85/27.68
% 176.85/27.68 Sub-proof #28 shows that the following formulas are inconsistent:
% 176.85/27.68 ----------------------------------------------------------------
% 176.85/27.68 (1) op(e2, e0) = all_20_1
% 176.85/27.68 (2) all_56_2 = e3 | all_56_2 = e2 | all_56_2 = e1 | all_56_2 = e0
% 176.85/27.68 (3) all_56_2 = all_52_2
% 176.85/27.68 (4) ~ (all_61_9 = all_61_11)
% 176.85/27.68 (5) all_58_0 = all_52_0
% 176.85/27.68 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 176.85/27.68 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 176.85/27.68 (7) ~ (all_61_11 = e2)
% 176.85/27.68 (8) all_63_14 = all_61_11
% 176.85/27.68 (9) op(unit, e1) = e1
% 176.85/27.68 (10) all_56_3 = e3 | all_56_3 = e2 | all_56_3 = e1 | all_56_3 = e0
% 176.85/27.68 (11) all_58_3 = all_52_3
% 176.85/27.68 (12) ~ (all_61_11 = e3)
% 176.85/27.68 (13) ~ (all_52_2 = e2)
% 176.85/27.68 (14) op(e1, e1) = e3
% 176.85/27.68 (15) ~ (all_58_3 = e3) | all_58_0 = e0
% 176.85/27.68 (16) ~ (all_52_3 = e1)
% 176.85/27.68 (17) all_56_3 = all_52_3
% 176.85/27.68 (18) all_63_14 = e3 | all_63_14 = e2 | all_63_14 = e1 | all_63_14 = e0
% 176.85/27.68 (19) op(unit, e0) = e0
% 176.85/27.68 (20) ~ (all_52_0 = all_52_2)
% 176.85/27.68 (21) op(e1, all_52_2) = unit
% 176.85/27.68 (22) op(e2, e1) = all_61_9
% 176.85/27.68 (23) ~ (all_58_3 = e2)
% 176.85/27.68 (24) ~ (unit = e3)
% 176.85/27.68 (25) ~ (all_61_11 = all_20_1)
% 176.85/27.68 (26) op(e0, e0) = e2
% 176.85/27.68 (27) op(e0, all_52_3) = unit
% 176.85/27.68 (28) ~ (all_52_2 = all_52_3)
% 176.85/27.68
% 176.85/27.68 Begin of proof
% 176.85/27.68 |
% 176.85/27.68 | REDUCE: (11), (23) imply:
% 176.85/27.68 | (29) ~ (all_52_3 = e2)
% 176.85/27.68 |
% 176.85/27.68 | BETA: splitting (15) gives:
% 176.85/27.68 |
% 176.85/27.68 | Case 1:
% 176.85/27.68 | |
% 176.85/27.68 | | (30) ~ (all_58_3 = e3)
% 176.85/27.68 | |
% 176.85/27.68 | | REDUCE: (11), (30) imply:
% 176.85/27.68 | | (31) ~ (all_52_3 = e3)
% 176.85/27.68 | |
% 176.85/27.68 | | BETA: splitting (10) gives:
% 176.85/27.68 | |
% 176.85/27.68 | | Case 1:
% 176.85/27.68 | | |
% 176.85/27.68 | | | (32) all_56_3 = e3
% 176.85/27.68 | | |
% 176.85/27.68 | | | REF_CLOSE: (17), (31), (32) are inconsistent by sub-proof #442.
% 176.85/27.68 | | |
% 176.85/27.68 | | Case 2:
% 176.85/27.68 | | |
% 176.85/27.68 | | | (33) all_56_3 = e2 | all_56_3 = e1 | all_56_3 = e0
% 176.85/27.68 | | |
% 176.85/27.68 | | | BETA: splitting (33) gives:
% 176.85/27.68 | | |
% 176.85/27.68 | | | Case 1:
% 176.85/27.68 | | | |
% 176.85/27.68 | | | | (34) all_56_3 = e2
% 176.85/27.68 | | | |
% 176.85/27.68 | | | | REF_CLOSE: (17), (29), (34) are inconsistent by sub-proof #441.
% 176.85/27.68 | | | |
% 176.85/27.68 | | | Case 2:
% 176.85/27.68 | | | |
% 176.85/27.68 | | | | (35) all_56_3 = e1 | all_56_3 = e0
% 176.85/27.68 | | | |
% 176.85/27.68 | | | | BETA: splitting (35) gives:
% 176.85/27.68 | | | |
% 176.85/27.68 | | | | Case 1:
% 176.85/27.68 | | | | |
% 176.85/27.68 | | | | | (36) all_56_3 = e1
% 176.85/27.68 | | | | |
% 176.85/27.68 | | | | | REF_CLOSE: (16), (17), (36) are inconsistent by sub-proof #440.
% 176.85/27.68 | | | | |
% 176.85/27.68 | | | | Case 2:
% 176.85/27.68 | | | | |
% 176.85/27.68 | | | | | (37) all_56_3 = e0
% 176.85/27.68 | | | | |
% 176.85/27.68 | | | | | COMBINE_EQS: (17), (37) imply:
% 176.85/27.68 | | | | | (38) all_52_3 = e0
% 176.85/27.68 | | | | |
% 176.85/27.68 | | | | | SIMP: (38) implies:
% 176.85/27.68 | | | | | (39) all_52_3 = e0
% 176.85/27.68 | | | | |
% 176.85/27.68 | | | | | REDUCE: (27), (39) imply:
% 176.85/27.68 | | | | | (40) op(e0, e0) = unit
% 176.85/27.68 | | | | |
% 176.85/27.68 | | | | | GROUND_INST: instantiating (6) with e2, unit, e0, e0, simplifying with
% 176.85/27.68 | | | | | (26), (40) gives:
% 176.85/27.68 | | | | | (41) unit = e2
% 176.85/27.68 | | | | |
% 176.85/27.68 | | | | | REDUCE: (9), (41) imply:
% 176.85/27.68 | | | | | (42) op(e2, e1) = e1
% 176.85/27.68 | | | | |
% 176.85/27.68 | | | | | REDUCE: (19), (41) imply:
% 176.85/27.68 | | | | | (43) op(e2, e0) = e0
% 176.85/27.68 | | | | |
% 176.85/27.68 | | | | | GROUND_INST: instantiating (6) with all_20_1, e0, e0, e2, simplifying
% 176.85/27.68 | | | | | with (1), (43) gives:
% 176.85/27.68 | | | | | (44) all_20_1 = e0
% 176.85/27.68 | | | | |
% 176.85/27.68 | | | | | GROUND_INST: instantiating (6) with all_61_9, e1, e1, e2, simplifying
% 176.85/27.68 | | | | | with (22), (42) gives:
% 176.85/27.68 | | | | | (45) all_61_9 = e1
% 176.85/27.68 | | | | |
% 176.85/27.68 | | | | | REDUCE: (4), (45) imply:
% 176.85/27.68 | | | | | (46) ~ (all_61_11 = e1)
% 176.85/27.68 | | | | |
% 176.85/27.68 | | | | | SIMP: (46) implies:
% 176.85/27.68 | | | | | (47) ~ (all_61_11 = e1)
% 176.85/27.68 | | | | |
% 176.85/27.68 | | | | | REDUCE: (25), (44) imply:
% 176.85/27.68 | | | | | (48) ~ (all_61_11 = e0)
% 176.85/27.68 | | | | |
% 176.85/27.68 | | | | | REF_CLOSE: (7), (8), (12), (18), (47), (48) are inconsistent by
% 176.85/27.68 | | | | | sub-proof #343.
% 176.85/27.68 | | | | |
% 176.85/27.68 | | | | End of split
% 176.85/27.68 | | | |
% 176.85/27.68 | | | End of split
% 176.85/27.68 | | |
% 176.85/27.68 | | End of split
% 176.85/27.68 | |
% 176.85/27.68 | Case 2:
% 176.85/27.68 | |
% 176.85/27.68 | | (49) all_58_3 = e3
% 176.85/27.68 | | (50) all_58_0 = e0
% 176.85/27.68 | |
% 176.85/27.68 | | REF_CLOSE: (2), (3), (5), (6), (11), (13), (14), (20), (21), (24), (28),
% 176.85/27.68 | | (49), (50) are inconsistent by sub-proof #33.
% 176.85/27.68 | |
% 176.85/27.68 | End of split
% 176.85/27.68 |
% 176.85/27.68 End of proof
% 176.85/27.68
% 176.85/27.68 Sub-proof #29 shows that the following formulas are inconsistent:
% 176.85/27.68 ----------------------------------------------------------------
% 176.85/27.68 (1) op(e3, all_52_0) = unit
% 176.85/27.68 (2) all_58_0 = all_52_0
% 176.85/27.68 (3) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 176.85/27.68 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 176.85/27.68 (4) all_58_0 = e0
% 176.85/27.68 (5) ~ (e1 = e0)
% 176.85/27.68 (6) op(all_28_1, e0) = e1
% 176.85/27.68 (7) op(e3, e0) = all_28_1
% 176.85/27.68 (8) op(unit, e0) = e0
% 176.85/27.68
% 176.85/27.68 Begin of proof
% 176.85/27.68 |
% 176.85/27.68 | COMBINE_EQS: (2), (4) imply:
% 176.85/27.68 | (9) all_52_0 = e0
% 176.85/27.68 |
% 176.85/27.68 | SIMP: (9) implies:
% 176.85/27.68 | (10) all_52_0 = e0
% 176.85/27.68 |
% 176.85/27.68 | REDUCE: (1), (10) imply:
% 176.85/27.68 | (11) op(e3, e0) = unit
% 176.85/27.68 |
% 176.85/27.68 | GROUND_INST: instantiating (3) with all_28_1, unit, e0, e3, simplifying with
% 176.85/27.68 | (7), (11) gives:
% 176.85/27.68 | (12) all_28_1 = unit
% 176.85/27.68 |
% 176.85/27.68 | REDUCE: (6), (12) imply:
% 176.85/27.68 | (13) op(unit, e0) = e1
% 176.85/27.68 |
% 176.85/27.69 | GROUND_INST: instantiating (3) with e0, e1, e0, unit, simplifying with (8),
% 176.85/27.69 | (13) gives:
% 176.85/27.69 | (14) e1 = e0
% 176.85/27.69 |
% 176.85/27.69 | REDUCE: (5), (14) imply:
% 176.85/27.69 | (15) $false
% 176.85/27.69 |
% 176.85/27.69 | CLOSE: (15) is inconsistent.
% 176.85/27.69 |
% 176.85/27.69 End of proof
% 176.85/27.69
% 176.85/27.69 Sub-proof #30 shows that the following formulas are inconsistent:
% 176.85/27.69 ----------------------------------------------------------------
% 176.85/27.69 (1) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 176.85/27.69 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 176.85/27.69 (2) op(all_42_1, e0) = e3
% 176.85/27.69 (3) all_58_2 = e0
% 176.85/27.69 (4) op(e1, e0) = all_42_1
% 176.85/27.69 (5) all_58_2 = all_52_2
% 176.85/27.69 (6) ~ (e3 = e0)
% 176.85/27.69 (7) op(unit, e0) = e0
% 176.85/27.69 (8) op(e1, all_52_2) = unit
% 176.85/27.69
% 176.85/27.69 Begin of proof
% 176.85/27.69 |
% 176.85/27.69 | COMBINE_EQS: (3), (5) imply:
% 176.85/27.69 | (9) all_52_2 = e0
% 176.85/27.69 |
% 176.85/27.69 | REDUCE: (8), (9) imply:
% 176.85/27.69 | (10) op(e1, e0) = unit
% 176.85/27.69 |
% 176.85/27.69 | REF_CLOSE: (1), (2), (4), (6), (7), (10) are inconsistent by sub-proof #38.
% 176.85/27.69 |
% 176.85/27.69 End of proof
% 176.85/27.69
% 176.85/27.69 Sub-proof #31 shows that the following formulas are inconsistent:
% 176.85/27.69 ----------------------------------------------------------------
% 176.85/27.69 (1) ~ (all_61_4 = unit)
% 176.85/27.69 (2) all_61_4 = e1
% 176.85/27.69 (3) ~ (all_61_14 = unit)
% 176.85/27.69 (4) unit = e2 | unit = e1 | unit = e0
% 176.85/27.69 (5) ~ (unit = e0)
% 176.85/27.69 (6) all_61_14 = e2
% 176.85/27.69
% 176.85/27.69 Begin of proof
% 176.85/27.69 |
% 176.85/27.69 | REDUCE: (1), (2) imply:
% 176.85/27.69 | (7) ~ (unit = e1)
% 176.85/27.69 |
% 176.85/27.69 | SIMP: (7) implies:
% 176.85/27.69 | (8) ~ (unit = e1)
% 176.85/27.69 |
% 176.85/27.69 | REDUCE: (3), (6) imply:
% 176.85/27.69 | (9) ~ (unit = e2)
% 176.85/27.69 |
% 176.85/27.69 | SIMP: (9) implies:
% 176.85/27.69 | (10) ~ (unit = e2)
% 176.85/27.69 |
% 176.85/27.69 | REF_CLOSE: (4), (5), (8), (10) are inconsistent by sub-proof #398.
% 176.85/27.69 |
% 176.85/27.69 End of proof
% 176.85/27.69
% 176.85/27.69 Sub-proof #32 shows that the following formulas are inconsistent:
% 176.85/27.69 ----------------------------------------------------------------
% 176.85/27.69 (1) all_63_6 = all_61_9
% 176.85/27.69 (2) all_56_2 = e3 | all_56_2 = e2 | all_56_2 = e1 | all_56_2 = e0
% 176.85/27.69 (3) all_56_2 = all_52_2
% 176.85/27.69 (4) all_58_0 = all_52_0
% 176.85/27.69 (5) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 176.85/27.69 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 176.85/27.69 (6) op(e2, unit) = e2
% 176.85/27.69 (7) ~ (all_61_9 = all_61_14)
% 176.85/27.69 (8) ~ (all_61_9 = all_22_1)
% 176.85/27.69 (9) ~ (all_58_3 = e2) | all_58_1 = e0
% 176.85/27.69 (10) op(e0, e0) = e0
% 176.85/27.69 (11) all_63_6 = e3 | all_63_6 = e2 | all_63_6 = e1 | all_63_6 = e0
% 176.85/27.69 (12) all_56_3 = e3 | all_56_3 = e2 | all_56_3 = e1 | all_56_3 = e0
% 176.85/27.69 (13) all_58_3 = all_52_3
% 176.85/27.69 (14) ~ (all_52_2 = e2)
% 176.85/27.69 (15) op(e1, e1) = e3
% 176.85/27.69 (16) ~ (all_61_9 = e0)
% 176.85/27.69 (17) ~ (all_58_3 = e3) | all_58_0 = e0
% 176.85/27.69 (18) ~ (all_52_3 = e1)
% 176.85/27.69 (19) all_56_3 = all_52_3
% 176.85/27.69 (20) op(e1, e0) = all_61_14
% 176.85/27.69 (21) all_58_1 = all_52_1
% 176.85/27.69 (22) op(e1, unit) = e1
% 176.85/27.69 (23) ~ (all_52_0 = all_52_2)
% 176.85/27.69 (24) op(e1, all_52_2) = unit
% 176.85/27.69 (25) op(e2, e0) = all_22_1
% 176.85/27.69 (26) ~ (unit = e3)
% 176.85/27.69 (27) op(e0, all_52_3) = unit
% 176.85/27.69 (28) ~ (all_52_2 = all_52_3)
% 176.85/27.69 (29) ~ (all_52_1 = e0)
% 176.85/27.69 (30) ~ (all_61_9 = e3)
% 176.85/27.69
% 176.85/27.69 Begin of proof
% 176.85/27.69 |
% 176.85/27.69 | BETA: splitting (9) gives:
% 176.85/27.69 |
% 176.85/27.69 | Case 1:
% 176.85/27.69 | |
% 176.85/27.69 | | (31) ~ (all_58_3 = e2)
% 176.85/27.69 | |
% 176.85/27.69 | | REDUCE: (13), (31) imply:
% 176.85/27.69 | | (32) ~ (all_52_3 = e2)
% 176.85/27.69 | |
% 176.85/27.69 | | BETA: splitting (17) gives:
% 176.85/27.69 | |
% 176.85/27.69 | | Case 1:
% 176.85/27.69 | | |
% 176.85/27.69 | | | (33) ~ (all_58_3 = e3)
% 176.85/27.69 | | |
% 176.85/27.69 | | | REDUCE: (13), (33) imply:
% 176.85/27.69 | | | (34) ~ (all_52_3 = e3)
% 176.85/27.69 | | |
% 176.85/27.69 | | | BETA: splitting (12) gives:
% 176.85/27.69 | | |
% 176.85/27.69 | | | Case 1:
% 176.85/27.69 | | | |
% 176.85/27.69 | | | | (35) all_56_3 = e3
% 176.85/27.69 | | | |
% 176.85/27.69 | | | | COMBINE_EQS: (19), (35) imply:
% 176.85/27.69 | | | | (36) all_52_3 = e3
% 176.85/27.69 | | | |
% 176.85/27.69 | | | | REDUCE: (34), (36) imply:
% 176.85/27.69 | | | | (37) $false
% 176.85/27.69 | | | |
% 176.85/27.69 | | | | CLOSE: (37) is inconsistent.
% 176.85/27.69 | | | |
% 176.85/27.69 | | | Case 2:
% 176.85/27.69 | | | |
% 176.85/27.69 | | | | (38) all_56_3 = e2 | all_56_3 = e1 | all_56_3 = e0
% 176.85/27.69 | | | |
% 176.85/27.69 | | | | BETA: splitting (38) gives:
% 176.85/27.69 | | | |
% 176.85/27.69 | | | | Case 1:
% 176.85/27.69 | | | | |
% 176.85/27.69 | | | | | (39) all_56_3 = e2
% 176.85/27.69 | | | | |
% 176.85/27.69 | | | | | COMBINE_EQS: (19), (39) imply:
% 176.85/27.69 | | | | | (40) all_52_3 = e2
% 176.85/27.69 | | | | |
% 176.85/27.69 | | | | | REDUCE: (32), (40) imply:
% 176.85/27.69 | | | | | (41) $false
% 176.85/27.69 | | | | |
% 176.85/27.69 | | | | | CLOSE: (41) is inconsistent.
% 176.85/27.69 | | | | |
% 176.85/27.69 | | | | Case 2:
% 176.85/27.69 | | | | |
% 176.85/27.69 | | | | | (42) all_56_3 = e1 | all_56_3 = e0
% 176.85/27.69 | | | | |
% 176.85/27.69 | | | | | BETA: splitting (42) gives:
% 176.85/27.69 | | | | |
% 176.85/27.69 | | | | | Case 1:
% 176.85/27.69 | | | | | |
% 176.85/27.69 | | | | | | (43) all_56_3 = e1
% 176.85/27.69 | | | | | |
% 176.85/27.69 | | | | | | COMBINE_EQS: (19), (43) imply:
% 176.85/27.69 | | | | | | (44) all_52_3 = e1
% 176.85/27.69 | | | | | |
% 176.85/27.69 | | | | | | REDUCE: (18), (44) imply:
% 176.85/27.69 | | | | | | (45) $false
% 176.85/27.69 | | | | | |
% 176.85/27.69 | | | | | | CLOSE: (45) is inconsistent.
% 176.85/27.69 | | | | | |
% 176.85/27.69 | | | | | Case 2:
% 176.85/27.69 | | | | | |
% 176.85/27.69 | | | | | | (46) all_56_3 = e0
% 176.85/27.69 | | | | | |
% 176.85/27.69 | | | | | | COMBINE_EQS: (19), (46) imply:
% 176.85/27.69 | | | | | | (47) all_52_3 = e0
% 176.85/27.69 | | | | | |
% 176.85/27.69 | | | | | | REDUCE: (27), (47) imply:
% 176.85/27.69 | | | | | | (48) op(e0, e0) = unit
% 176.85/27.69 | | | | | |
% 176.85/27.69 | | | | | | GROUND_INST: instantiating (5) with e0, unit, e0, e0, simplifying
% 176.85/27.69 | | | | | | with (10), (48) gives:
% 176.85/27.69 | | | | | | (49) unit = e0
% 176.85/27.69 | | | | | |
% 176.85/27.69 | | | | | | REDUCE: (6), (49) imply:
% 176.85/27.69 | | | | | | (50) op(e2, e0) = e2
% 176.85/27.69 | | | | | |
% 176.85/27.69 | | | | | | REDUCE: (22), (49) imply:
% 176.85/27.69 | | | | | | (51) op(e1, e0) = e1
% 176.85/27.69 | | | | | |
% 176.85/27.69 | | | | | | GROUND_INST: instantiating (5) with all_61_14, e1, e0, e1,
% 176.85/27.69 | | | | | | simplifying with (20), (51) gives:
% 176.85/27.69 | | | | | | (52) all_61_14 = e1
% 176.85/27.69 | | | | | |
% 176.85/27.69 | | | | | | GROUND_INST: instantiating (5) with all_22_1, e2, e0, e2,
% 176.85/27.69 | | | | | | simplifying with (25), (50) gives:
% 176.85/27.69 | | | | | | (53) all_22_1 = e2
% 176.85/27.69 | | | | | |
% 176.85/27.69 | | | | | | REDUCE: (7), (52) imply:
% 176.85/27.69 | | | | | | (54) ~ (all_61_9 = e1)
% 176.85/27.69 | | | | | |
% 176.85/27.69 | | | | | | REDUCE: (8), (53) imply:
% 176.85/27.69 | | | | | | (55) ~ (all_61_9 = e2)
% 176.85/27.69 | | | | | |
% 176.85/27.69 | | | | | | REF_CLOSE: (1), (11), (16), (30), (54), (55) are inconsistent by
% 176.85/27.69 | | | | | | sub-proof #395.
% 176.85/27.69 | | | | | |
% 176.85/27.69 | | | | | End of split
% 176.85/27.69 | | | | |
% 176.85/27.69 | | | | End of split
% 176.85/27.69 | | | |
% 176.85/27.69 | | | End of split
% 176.85/27.69 | | |
% 176.85/27.69 | | Case 2:
% 176.85/27.69 | | |
% 176.85/27.69 | | | (56) all_58_3 = e3
% 176.85/27.69 | | | (57) all_58_0 = e0
% 176.85/27.69 | | |
% 176.85/27.69 | | | REF_CLOSE: (2), (3), (4), (5), (13), (14), (15), (23), (24), (26), (28),
% 176.85/27.69 | | | (56), (57) are inconsistent by sub-proof #33.
% 176.85/27.69 | | |
% 176.85/27.69 | | End of split
% 176.85/27.69 | |
% 176.85/27.69 | Case 2:
% 176.85/27.69 | |
% 176.85/27.69 | | (58) all_58_1 = e0
% 176.85/27.69 | |
% 176.85/27.69 | | REF_CLOSE: (21), (29), (58) are inconsistent by sub-proof #462.
% 176.85/27.69 | |
% 176.85/27.69 | End of split
% 176.85/27.69 |
% 176.85/27.69 End of proof
% 176.85/27.69
% 176.85/27.69 Sub-proof #33 shows that the following formulas are inconsistent:
% 176.85/27.69 ----------------------------------------------------------------
% 176.85/27.69 (1) all_56_2 = e3 | all_56_2 = e2 | all_56_2 = e1 | all_56_2 = e0
% 176.85/27.69 (2) all_56_2 = all_52_2
% 176.85/27.69 (3) all_58_0 = all_52_0
% 176.85/27.69 (4) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 176.85/27.69 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 176.85/27.69 (5) all_58_0 = e0
% 176.85/27.69 (6) all_58_3 = all_52_3
% 176.85/27.69 (7) ~ (all_52_2 = e2)
% 176.85/27.69 (8) op(e1, e1) = e3
% 176.85/27.69 (9) all_58_3 = e3
% 176.85/27.69 (10) ~ (all_52_0 = all_52_2)
% 176.85/27.69 (11) op(e1, all_52_2) = unit
% 176.85/27.69 (12) ~ (unit = e3)
% 176.85/27.69 (13) ~ (all_52_2 = all_52_3)
% 176.85/27.69
% 176.85/27.69 Begin of proof
% 176.85/27.69 |
% 176.85/27.69 | COMBINE_EQS: (3), (5) imply:
% 176.85/27.69 | (14) all_52_0 = e0
% 176.85/27.69 |
% 176.85/27.69 | SIMP: (14) implies:
% 176.85/27.69 | (15) all_52_0 = e0
% 176.85/27.69 |
% 176.85/27.69 | COMBINE_EQS: (6), (9) imply:
% 176.85/27.69 | (16) all_52_3 = e3
% 176.85/27.69 |
% 176.85/27.69 | REDUCE: (10), (15) imply:
% 176.85/27.69 | (17) ~ (all_52_2 = e0)
% 176.85/27.69 |
% 176.85/27.69 | SIMP: (17) implies:
% 176.85/27.69 | (18) ~ (all_52_2 = e0)
% 176.85/27.69 |
% 176.85/27.69 | REDUCE: (13), (16) imply:
% 176.85/27.69 | (19) ~ (all_52_2 = e3)
% 176.85/27.69 |
% 176.85/27.69 | REF_CLOSE: (1), (2), (4), (7), (8), (11), (12), (18), (19) are inconsistent by
% 176.85/27.69 | sub-proof #54.
% 176.85/27.69 |
% 176.85/27.69 End of proof
% 176.85/27.69
% 176.85/27.69 Sub-proof #34 shows that the following formulas are inconsistent:
% 176.85/27.69 ----------------------------------------------------------------
% 176.85/27.69 (1) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 176.85/27.69 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 176.85/27.69 (2) op(all_61_14, e0) = all_4_1
% 176.85/27.69 (3) ~ (all_4_1 = e0)
% 176.85/27.69 (4) op(e1, e0) = all_61_14
% 176.85/27.69 (5) op(e1, e0) = unit
% 176.85/27.69 (6) op(unit, e0) = e0
% 176.85/27.69
% 176.85/27.69 Begin of proof
% 176.85/27.69 |
% 176.85/27.69 | GROUND_INST: instantiating (1) with all_61_14, unit, e0, e1, simplifying with
% 176.85/27.69 | (4), (5) gives:
% 176.85/27.69 | (7) all_61_14 = unit
% 176.85/27.69 |
% 176.85/27.69 | REDUCE: (2), (7) imply:
% 176.85/27.69 | (8) op(unit, e0) = all_4_1
% 176.85/27.69 |
% 176.85/27.69 | GROUND_INST: instantiating (1) with e0, all_4_1, e0, unit, simplifying with
% 176.85/27.69 | (6), (8) gives:
% 176.85/27.69 | (9) all_4_1 = e0
% 176.85/27.69 |
% 176.85/27.69 | REDUCE: (3), (9) imply:
% 176.85/27.69 | (10) $false
% 176.85/27.69 |
% 176.85/27.69 | CLOSE: (10) is inconsistent.
% 176.85/27.69 |
% 176.85/27.69 End of proof
% 176.85/27.69
% 176.85/27.69 Sub-proof #35 shows that the following formulas are inconsistent:
% 176.85/27.69 ----------------------------------------------------------------
% 176.85/27.69 (1) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 176.85/27.69 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 176.85/27.69 (2) all_58_2 = e0
% 176.85/27.69 (3) op(unit, e1) = e1
% 176.85/27.69 (4) all_58_2 = all_52_2
% 176.85/27.69 (5) op(e1, e0) = all_61_14
% 176.85/27.69 (6) op(all_61_14, e1) = all_28_1
% 176.85/27.69 (7) ~ (all_28_1 = e1)
% 176.85/27.69 (8) op(e1, all_52_2) = unit
% 176.85/27.69
% 176.85/27.69 Begin of proof
% 176.85/27.69 |
% 176.85/27.69 | COMBINE_EQS: (2), (4) imply:
% 176.85/27.69 | (9) all_52_2 = e0
% 176.85/27.69 |
% 176.85/27.69 | SIMP: (9) implies:
% 176.85/27.69 | (10) all_52_2 = e0
% 176.85/27.69 |
% 176.85/27.69 | REDUCE: (8), (10) imply:
% 176.85/27.69 | (11) op(e1, e0) = unit
% 176.85/27.69 |
% 176.85/27.69 | REF_CLOSE: (1), (3), (5), (6), (7), (11) are inconsistent by sub-proof #36.
% 176.85/27.69 |
% 176.85/27.69 End of proof
% 176.85/27.69
% 176.85/27.69 Sub-proof #36 shows that the following formulas are inconsistent:
% 176.85/27.69 ----------------------------------------------------------------
% 176.85/27.69 (1) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 176.85/27.69 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 176.85/27.69 (2) op(unit, e1) = e1
% 176.85/27.69 (3) op(e1, e0) = all_61_14
% 176.85/27.69 (4) op(e1, e0) = unit
% 176.85/27.69 (5) op(all_61_14, e1) = all_28_1
% 176.85/27.69 (6) ~ (all_28_1 = e1)
% 176.85/27.69
% 176.85/27.69 Begin of proof
% 176.85/27.69 |
% 176.85/27.69 | GROUND_INST: instantiating (1) with all_61_14, unit, e0, e1, simplifying with
% 176.85/27.69 | (3), (4) gives:
% 176.85/27.69 | (7) all_61_14 = unit
% 176.85/27.69 |
% 176.85/27.69 | REDUCE: (5), (7) imply:
% 176.85/27.69 | (8) op(unit, e1) = all_28_1
% 176.85/27.69 |
% 176.85/27.69 | GROUND_INST: instantiating (1) with e1, all_28_1, e1, unit, simplifying with
% 176.85/27.69 | (2), (8) gives:
% 176.85/27.69 | (9) all_28_1 = e1
% 176.85/27.69 |
% 176.85/27.69 | REDUCE: (6), (9) imply:
% 176.85/27.69 | (10) $false
% 176.85/27.69 |
% 176.85/27.69 | CLOSE: (10) is inconsistent.
% 176.85/27.69 |
% 176.85/27.69 End of proof
% 176.85/27.69
% 176.85/27.69 Sub-proof #37 shows that the following formulas are inconsistent:
% 176.85/27.69 ----------------------------------------------------------------
% 176.85/27.69 (1) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 176.85/27.69 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 176.85/27.69 (2) op(all_42_1, e0) = e3
% 176.85/27.69 (3) all_58_2 = e0
% 176.85/27.69 (4) op(e1, e0) = all_42_1
% 176.85/27.69 (5) all_58_2 = all_52_2
% 176.85/27.69 (6) ~ (e3 = e0)
% 176.85/27.69 (7) op(unit, e0) = e0
% 176.85/27.69 (8) op(e1, all_52_2) = unit
% 176.85/27.69
% 176.85/27.69 Begin of proof
% 176.85/27.69 |
% 176.85/27.69 | COMBINE_EQS: (3), (5) imply:
% 176.85/27.69 | (9) all_52_2 = e0
% 176.85/27.69 |
% 176.85/27.69 | SIMP: (9) implies:
% 176.85/27.69 | (10) all_52_2 = e0
% 176.85/27.69 |
% 176.85/27.69 | REDUCE: (8), (10) imply:
% 176.85/27.69 | (11) op(e1, e0) = unit
% 176.85/27.69 |
% 176.85/27.69 | REF_CLOSE: (1), (2), (4), (6), (7), (11) are inconsistent by sub-proof #38.
% 176.85/27.69 |
% 176.85/27.69 End of proof
% 176.85/27.69
% 176.85/27.69 Sub-proof #38 shows that the following formulas are inconsistent:
% 176.85/27.69 ----------------------------------------------------------------
% 176.85/27.69 (1) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 176.85/27.69 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 176.85/27.69 (2) op(all_42_1, e0) = e3
% 176.85/27.69 (3) op(e1, e0) = all_42_1
% 176.85/27.69 (4) ~ (e3 = e0)
% 176.85/27.69 (5) op(e1, e0) = unit
% 176.85/27.69 (6) op(unit, e0) = e0
% 176.85/27.69
% 176.85/27.69 Begin of proof
% 176.85/27.69 |
% 176.85/27.69 | GROUND_INST: instantiating (1) with all_42_1, unit, e0, e1, simplifying with
% 176.85/27.69 | (3), (5) gives:
% 176.85/27.69 | (7) all_42_1 = unit
% 176.85/27.69 |
% 176.85/27.69 | REDUCE: (2), (7) imply:
% 176.85/27.69 | (8) op(unit, e0) = e3
% 176.85/27.69 |
% 176.85/27.69 | GROUND_INST: instantiating (1) with e0, e3, e0, unit, simplifying with (6),
% 176.85/27.69 | (8) gives:
% 176.85/27.69 | (9) e3 = e0
% 176.85/27.69 |
% 176.85/27.69 | REDUCE: (4), (9) imply:
% 176.85/27.69 | (10) $false
% 176.85/27.69 |
% 176.85/27.69 | CLOSE: (10) is inconsistent.
% 176.85/27.69 |
% 176.85/27.69 End of proof
% 176.85/27.69
% 176.85/27.69 Sub-proof #39 shows that the following formulas are inconsistent:
% 176.85/27.69 ----------------------------------------------------------------
% 176.85/27.69 (1) all_56_2 = e3 | all_56_2 = e2 | all_56_2 = e1 | all_56_2 = e0
% 176.85/27.69 (2) all_56_2 = all_52_2
% 176.85/27.69 (3) op(e3, all_52_0) = unit
% 176.85/27.69 (4) all_58_0 = all_52_0
% 176.85/27.69 (5) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 176.85/27.69 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 176.85/27.69 (6) ~ (all_52_2 = e0)
% 176.85/27.69 (7) op(all_4_1, e1) = e0
% 176.85/27.69 (8) op(unit, e1) = e1
% 176.85/27.69 (9) ~ (e1 = e0)
% 176.85/27.69 (10) ~ (all_52_2 = e2)
% 176.85/27.69 (11) all_58_2 = all_52_2
% 176.85/27.69 (12) op(e1, e1) = e3
% 176.85/27.69 (13) op(e3, e1) = all_4_1
% 176.85/27.69 (14) ~ (all_58_2 = e3) | all_58_0 = e1
% 176.85/27.69 (15) op(e1, all_52_2) = unit
% 176.85/27.69 (16) ~ (unit = e3)
% 176.85/27.69
% 176.85/27.69 Begin of proof
% 176.85/27.69 |
% 176.85/27.69 | BETA: splitting (14) gives:
% 176.85/27.69 |
% 176.85/27.69 | Case 1:
% 176.85/27.69 | |
% 176.85/27.69 | | (17) ~ (all_58_2 = e3)
% 176.85/27.69 | |
% 176.85/27.69 | | REDUCE: (11), (17) imply:
% 176.85/27.69 | | (18) ~ (all_52_2 = e3)
% 176.85/27.69 | |
% 176.85/27.69 | | REF_CLOSE: (1), (2), (5), (6), (10), (12), (15), (16), (18) are inconsistent
% 176.85/27.69 | | by sub-proof #54.
% 176.85/27.69 | |
% 176.85/27.69 | Case 2:
% 176.85/27.69 | |
% 176.85/27.69 | | (19) all_58_0 = e1
% 176.85/27.69 | |
% 176.85/27.69 | | REF_CLOSE: (3), (4), (5), (7), (8), (9), (13), (19) are inconsistent by
% 176.85/27.69 | | sub-proof #40.
% 176.85/27.69 | |
% 176.85/27.69 | End of split
% 176.85/27.69 |
% 176.85/27.69 End of proof
% 176.85/27.69
% 176.85/27.69 Sub-proof #40 shows that the following formulas are inconsistent:
% 176.85/27.69 ----------------------------------------------------------------
% 176.85/27.69 (1) op(e3, all_52_0) = unit
% 176.85/27.69 (2) all_58_0 = all_52_0
% 176.85/27.69 (3) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 176.85/27.69 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 176.85/27.69 (4) op(all_4_1, e1) = e0
% 176.85/27.69 (5) op(unit, e1) = e1
% 176.85/27.69 (6) ~ (e1 = e0)
% 176.85/27.69 (7) op(e3, e1) = all_4_1
% 176.85/27.69 (8) all_58_0 = e1
% 176.85/27.69
% 176.85/27.69 Begin of proof
% 176.85/27.69 |
% 176.85/27.69 | COMBINE_EQS: (2), (8) imply:
% 176.85/27.69 | (9) all_52_0 = e1
% 176.85/27.69 |
% 176.85/27.69 | SIMP: (9) implies:
% 176.85/27.69 | (10) all_52_0 = e1
% 176.85/27.69 |
% 176.85/27.69 | REDUCE: (1), (10) imply:
% 176.85/27.69 | (11) op(e3, e1) = unit
% 176.85/27.69 |
% 176.85/27.69 | REF_CLOSE: (3), (4), (5), (6), (7), (11) are inconsistent by sub-proof #41.
% 176.85/27.69 |
% 176.85/27.69 End of proof
% 176.85/27.69
% 176.85/27.69 Sub-proof #41 shows that the following formulas are inconsistent:
% 176.85/27.69 ----------------------------------------------------------------
% 176.85/27.69 (1) op(e3, e1) = unit
% 176.85/27.70 (2) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 176.85/27.70 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 176.85/27.70 (3) op(all_4_1, e1) = e0
% 176.85/27.70 (4) op(unit, e1) = e1
% 176.85/27.70 (5) ~ (e1 = e0)
% 176.85/27.70 (6) op(e3, e1) = all_4_1
% 176.85/27.70
% 176.85/27.70 Begin of proof
% 176.85/27.70 |
% 176.85/27.70 | GROUND_INST: instantiating (2) with all_4_1, unit, e1, e3, simplifying with
% 176.85/27.70 | (1), (6) gives:
% 176.85/27.70 | (7) all_4_1 = unit
% 176.85/27.70 |
% 176.85/27.70 | REDUCE: (3), (7) imply:
% 176.85/27.70 | (8) op(unit, e1) = e0
% 176.85/27.70 |
% 176.85/27.70 | GROUND_INST: instantiating (2) with e1, e0, e1, unit, simplifying with (4),
% 176.85/27.70 | (8) gives:
% 176.85/27.70 | (9) e1 = e0
% 176.85/27.70 |
% 176.85/27.70 | REDUCE: (5), (9) imply:
% 176.85/27.70 | (10) $false
% 176.85/27.70 |
% 176.85/27.70 | CLOSE: (10) is inconsistent.
% 176.85/27.70 |
% 176.85/27.70 End of proof
% 176.85/27.70
% 176.85/27.70 Sub-proof #42 shows that the following formulas are inconsistent:
% 176.85/27.70 ----------------------------------------------------------------
% 176.85/27.70 (1) all_63_8 = all_4_1
% 176.85/27.70 (2) ~ (all_4_1 = e0)
% 176.85/27.70 (3) ~ (all_4_1 = e2)
% 176.85/27.70 (4) ~ (all_4_1 = e1)
% 176.85/27.70 (5) all_63_8 = e2 | all_63_8 = e1 | all_63_8 = e0
% 176.85/27.70
% 176.85/27.70 Begin of proof
% 176.85/27.70 |
% 176.85/27.70 | BETA: splitting (5) gives:
% 176.85/27.70 |
% 176.85/27.70 | Case 1:
% 176.85/27.70 | |
% 176.85/27.70 | | (6) all_63_8 = e2
% 176.85/27.70 | |
% 176.85/27.70 | | REF_CLOSE: (1), (3), (6) are inconsistent by sub-proof #43.
% 176.85/27.70 | |
% 176.85/27.70 | Case 2:
% 176.85/27.70 | |
% 176.85/27.70 | | (7) all_63_8 = e1 | all_63_8 = e0
% 176.85/27.70 | |
% 176.85/27.70 | | REF_CLOSE: (1), (2), (4), (7) are inconsistent by sub-proof #47.
% 176.85/27.70 | |
% 176.85/27.70 | End of split
% 176.85/27.70 |
% 176.85/27.70 End of proof
% 176.85/27.70
% 176.85/27.70 Sub-proof #43 shows that the following formulas are inconsistent:
% 176.85/27.70 ----------------------------------------------------------------
% 176.85/27.70 (1) all_63_8 = all_4_1
% 176.85/27.70 (2) all_63_8 = e2
% 176.85/27.70 (3) ~ (all_4_1 = e2)
% 176.85/27.70
% 176.85/27.70 Begin of proof
% 176.85/27.70 |
% 176.85/27.70 | COMBINE_EQS: (1), (2) imply:
% 176.85/27.70 | (4) all_4_1 = e2
% 176.85/27.70 |
% 176.85/27.70 | SIMP: (4) implies:
% 176.85/27.70 | (5) all_4_1 = e2
% 176.85/27.70 |
% 176.85/27.70 | REDUCE: (3), (5) imply:
% 176.85/27.70 | (6) $false
% 176.85/27.70 |
% 176.85/27.70 | CLOSE: (6) is inconsistent.
% 176.85/27.70 |
% 176.85/27.70 End of proof
% 176.85/27.70
% 176.85/27.70 Sub-proof #44 shows that the following formulas are inconsistent:
% 176.85/27.70 ----------------------------------------------------------------
% 176.85/27.70 (1) all_63_8 = all_4_1
% 176.85/27.70 (2) all_63_8 = e3
% 176.85/27.70 (3) ~ (all_4_1 = e3)
% 176.85/27.70
% 176.85/27.70 Begin of proof
% 176.85/27.70 |
% 176.85/27.70 | COMBINE_EQS: (1), (2) imply:
% 176.85/27.70 | (4) all_4_1 = e3
% 176.85/27.70 |
% 176.85/27.70 | SIMP: (4) implies:
% 176.85/27.70 | (5) all_4_1 = e3
% 176.85/27.70 |
% 176.85/27.70 | REDUCE: (3), (5) imply:
% 176.85/27.70 | (6) $false
% 176.85/27.70 |
% 176.85/27.70 | CLOSE: (6) is inconsistent.
% 176.85/27.70 |
% 176.85/27.70 End of proof
% 176.85/27.70
% 176.85/27.70 Sub-proof #45 shows that the following formulas are inconsistent:
% 176.85/27.70 ----------------------------------------------------------------
% 176.85/27.70 (1) all_56_2 = e3 | all_56_2 = e2 | all_56_2 = e1 | all_56_2 = e0
% 176.85/27.70 (2) all_56_2 = all_52_2
% 176.85/27.70 (3) ~ (all_61_9 = e2)
% 176.85/27.70 (4) all_58_0 = all_52_0
% 176.85/27.70 (5) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 176.85/27.70 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 176.85/27.70 (6) op(all_61_9, e2) = all_65_25
% 176.85/27.70 (7) op(e1, e2) = all_61_6
% 176.85/27.70 (8) ~ (all_58_2 = e2) | all_58_1 = e1
% 176.85/27.70 (9) all_58_0 = e0
% 176.85/27.70 (10) all_58_3 = all_52_3
% 176.85/27.70 (11) op(e2, all_52_1) = unit
% 176.85/27.70 (12) all_58_2 = all_52_2
% 176.85/27.70 (13) op(e1, e1) = e3
% 176.85/27.70 (14) op(all_61_6, e2) = all_61_6
% 176.85/27.70 (15) all_58_1 = all_52_1
% 176.85/27.70 (16) all_58_3 = e3
% 176.85/27.70 (17) ~ (all_52_0 = all_52_2)
% 176.85/27.70 (18) op(e1, all_52_2) = unit
% 176.85/27.70 (19) op(e2, e1) = all_61_9
% 176.85/27.70 (20) ~ (unit = e3)
% 176.85/27.70 (21) ~ (all_52_2 = all_52_3)
% 176.85/27.70 (22) op(unit, e2) = e2
% 176.85/27.70
% 176.85/27.70 Begin of proof
% 176.85/27.70 |
% 176.85/27.70 | COMBINE_EQS: (4), (9) imply:
% 176.85/27.70 | (23) all_52_0 = e0
% 176.85/27.70 |
% 176.85/27.70 | SIMP: (23) implies:
% 176.85/27.70 | (24) all_52_0 = e0
% 176.85/27.70 |
% 176.85/27.70 | COMBINE_EQS: (10), (16) imply:
% 176.85/27.70 | (25) all_52_3 = e3
% 176.85/27.70 |
% 176.85/27.70 | REDUCE: (17), (24) imply:
% 176.85/27.70 | (26) ~ (all_52_2 = e0)
% 176.85/27.70 |
% 176.85/27.70 | SIMP: (26) implies:
% 176.85/27.70 | (27) ~ (all_52_2 = e0)
% 176.85/27.70 |
% 176.85/27.70 | REDUCE: (21), (25) imply:
% 176.85/27.70 | (28) ~ (all_52_2 = e3)
% 176.85/27.70 |
% 176.85/27.70 | REF_CLOSE: (1), (2), (3), (5), (6), (7), (8), (11), (12), (13), (14), (15),
% 176.85/27.70 | (18), (19), (20), (22), (27), (28) are inconsistent by sub-proof
% 176.85/27.70 | #46.
% 176.85/27.70 |
% 176.85/27.70 End of proof
% 176.85/27.70
% 176.85/27.70 Sub-proof #46 shows that the following formulas are inconsistent:
% 176.85/27.70 ----------------------------------------------------------------
% 176.85/27.70 (1) all_56_2 = e3 | all_56_2 = e2 | all_56_2 = e1 | all_56_2 = e0
% 176.85/27.70 (2) all_56_2 = all_52_2
% 176.85/27.70 (3) ~ (all_61_9 = e2)
% 176.85/27.70 (4) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 176.85/27.70 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 176.85/27.70 (5) ~ (all_52_2 = e0)
% 176.85/27.70 (6) op(all_61_9, e2) = all_65_25
% 176.85/27.70 (7) op(e1, e2) = all_61_6
% 176.85/27.70 (8) ~ (all_52_2 = e3)
% 176.85/27.70 (9) ~ (all_58_2 = e2) | all_58_1 = e1
% 176.85/27.70 (10) op(e2, all_52_1) = unit
% 176.85/27.70 (11) all_58_2 = all_52_2
% 176.85/27.70 (12) op(e1, e1) = e3
% 176.85/27.70 (13) op(all_61_6, e2) = all_61_6
% 176.85/27.70 (14) all_58_1 = all_52_1
% 176.85/27.70 (15) op(e1, all_52_2) = unit
% 176.85/27.70 (16) op(e2, e1) = all_61_9
% 176.85/27.70 (17) ~ (unit = e3)
% 176.85/27.70 (18) op(unit, e2) = e2
% 176.85/27.70
% 176.85/27.70 Begin of proof
% 176.85/27.70 |
% 176.85/27.70 | BETA: splitting (9) gives:
% 176.85/27.70 |
% 176.85/27.70 | Case 1:
% 176.85/27.70 | |
% 176.85/27.70 | | (19) ~ (all_58_2 = e2)
% 176.85/27.70 | |
% 176.85/27.70 | | REDUCE: (11), (19) imply:
% 176.85/27.70 | | (20) ~ (all_52_2 = e2)
% 176.85/27.70 | |
% 176.85/27.70 | | REF_CLOSE: (1), (2), (4), (5), (8), (12), (15), (17), (20) are inconsistent
% 176.85/27.70 | | by sub-proof #54.
% 176.85/27.70 | |
% 176.85/27.70 | Case 2:
% 176.85/27.70 | |
% 176.85/27.70 | | (21) all_58_2 = e2
% 176.85/27.70 | | (22) all_58_1 = e1
% 176.85/27.70 | |
% 176.85/27.70 | | REF_CLOSE: (3), (4), (6), (7), (10), (11), (13), (14), (15), (16), (18),
% 176.85/27.70 | | (21), (22) are inconsistent by sub-proof #50.
% 176.85/27.70 | |
% 176.85/27.70 | End of split
% 176.85/27.70 |
% 176.85/27.70 End of proof
% 176.85/27.70
% 176.85/27.70 Sub-proof #47 shows that the following formulas are inconsistent:
% 176.85/27.70 ----------------------------------------------------------------
% 176.85/27.70 (1) all_63_8 = e1 | all_63_8 = e0
% 176.85/27.70 (2) all_63_8 = all_4_1
% 176.85/27.70 (3) ~ (all_4_1 = e1)
% 176.85/27.70 (4) ~ (all_4_1 = e0)
% 176.85/27.70
% 176.85/27.70 Begin of proof
% 176.85/27.70 |
% 176.85/27.70 | BETA: splitting (1) gives:
% 176.85/27.70 |
% 176.85/27.70 | Case 1:
% 176.85/27.70 | |
% 176.85/27.70 | | (5) all_63_8 = e1
% 176.85/27.70 | |
% 176.85/27.70 | | COMBINE_EQS: (2), (5) imply:
% 176.85/27.70 | | (6) all_4_1 = e1
% 176.85/27.70 | |
% 176.85/27.70 | | SIMP: (6) implies:
% 176.85/27.70 | | (7) all_4_1 = e1
% 176.85/27.70 | |
% 176.85/27.70 | | REDUCE: (3), (7) imply:
% 176.85/27.70 | | (8) $false
% 176.85/27.70 | |
% 176.85/27.70 | | CLOSE: (8) is inconsistent.
% 176.85/27.70 | |
% 176.85/27.70 | Case 2:
% 176.85/27.70 | |
% 176.85/27.70 | | (9) all_63_8 = e0
% 176.85/27.70 | |
% 176.85/27.70 | | COMBINE_EQS: (2), (9) imply:
% 176.85/27.70 | | (10) all_4_1 = e0
% 176.85/27.70 | |
% 176.85/27.70 | | SIMP: (10) implies:
% 176.85/27.70 | | (11) all_4_1 = e0
% 176.85/27.70 | |
% 176.85/27.70 | | REDUCE: (4), (11) imply:
% 176.85/27.70 | | (12) $false
% 176.85/27.70 | |
% 176.85/27.70 | | CLOSE: (12) is inconsistent.
% 176.85/27.70 | |
% 176.85/27.70 | End of split
% 176.85/27.70 |
% 176.85/27.70 End of proof
% 176.85/27.70
% 176.85/27.70 Sub-proof #48 shows that the following formulas are inconsistent:
% 176.85/27.70 ----------------------------------------------------------------
% 176.85/27.70 (1) all_58_3 = e1
% 176.85/27.70 (2) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 176.85/27.70 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 176.85/27.70 (3) all_52_2 = e0
% 176.85/27.70 (4) op(all_61_14, e0) = all_61_14
% 176.85/27.70 (5) op(e0, e1) = all_61_11
% 176.85/27.70 (6) all_58_3 = all_52_3
% 176.85/27.70 (7) op(e1, e0) = all_61_14
% 176.85/27.70 (8) op(unit, e0) = e0
% 176.85/27.70 (9) op(e1, all_52_2) = unit
% 176.85/27.70 (10) op(all_61_11, e0) = all_65_71
% 176.85/27.70 (11) ~ (all_61_14 = e0)
% 176.85/27.70 (12) op(e0, all_52_3) = unit
% 176.85/27.70
% 176.85/27.70 Begin of proof
% 176.85/27.70 |
% 176.85/27.70 | COMBINE_EQS: (1), (6) imply:
% 176.85/27.70 | (13) all_52_3 = e1
% 176.85/27.70 |
% 176.85/27.70 | REDUCE: (3), (9) imply:
% 176.85/27.70 | (14) op(e1, e0) = unit
% 176.85/27.70 |
% 176.85/27.70 | REDUCE: (12), (13) imply:
% 176.85/27.70 | (15) op(e0, e1) = unit
% 176.85/27.70 |
% 176.85/27.70 | REF_CLOSE: (2), (4), (5), (7), (8), (10), (11), (14), (15) are inconsistent by
% 176.85/27.70 | sub-proof #49.
% 176.85/27.70 |
% 176.85/27.70 End of proof
% 176.85/27.70
% 176.85/27.70 Sub-proof #49 shows that the following formulas are inconsistent:
% 176.85/27.70 ----------------------------------------------------------------
% 176.85/27.70 (1) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 176.85/27.70 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 176.85/27.70 (2) op(all_61_14, e0) = all_61_14
% 176.85/27.70 (3) op(e0, e1) = unit
% 176.85/27.70 (4) op(e0, e1) = all_61_11
% 176.85/27.70 (5) op(e1, e0) = all_61_14
% 176.85/27.70 (6) op(e1, e0) = unit
% 176.85/27.70 (7) op(unit, e0) = e0
% 176.85/27.70 (8) op(all_61_11, e0) = all_65_71
% 176.85/27.70 (9) ~ (all_61_14 = e0)
% 176.85/27.70
% 176.85/27.70 Begin of proof
% 176.85/27.70 |
% 176.85/27.70 | GROUND_INST: instantiating (1) with all_61_11, unit, e1, e0, simplifying with
% 176.85/27.70 | (3), (4) gives:
% 176.85/27.70 | (10) all_61_11 = unit
% 176.85/27.70 |
% 176.85/27.70 | GROUND_INST: instantiating (1) with all_61_14, unit, e0, e1, simplifying with
% 176.85/27.70 | (5), (6) gives:
% 176.85/27.70 | (11) all_61_14 = unit
% 176.85/27.70 |
% 176.85/27.70 | REDUCE: (9), (11) imply:
% 176.85/27.70 | (12) ~ (unit = e0)
% 176.85/27.70 |
% 176.85/27.70 | REDUCE: (8), (10) imply:
% 176.85/27.70 | (13) op(unit, e0) = all_65_71
% 176.85/27.70 |
% 176.85/27.70 | REDUCE: (2), (11) imply:
% 176.85/27.70 | (14) op(unit, e0) = unit
% 176.85/27.70 |
% 176.85/27.70 | GROUND_INST: instantiating (1) with e0, all_65_71, e0, unit, simplifying with
% 176.85/27.70 | (7), (13) gives:
% 176.85/27.70 | (15) all_65_71 = e0
% 176.85/27.70 |
% 176.85/27.70 | GROUND_INST: instantiating (1) with unit, all_65_71, e0, unit, simplifying
% 176.85/27.70 | with (13), (14) gives:
% 176.85/27.70 | (16) all_65_71 = unit
% 176.85/27.70 |
% 176.85/27.70 | COMBINE_EQS: (15), (16) imply:
% 176.85/27.70 | (17) unit = e0
% 176.85/27.70 |
% 176.85/27.70 | SIMP: (17) implies:
% 176.85/27.70 | (18) unit = e0
% 176.85/27.70 |
% 176.85/27.70 | REDUCE: (12), (18) imply:
% 176.85/27.70 | (19) $false
% 176.85/27.70 |
% 176.85/27.70 | CLOSE: (19) is inconsistent.
% 176.85/27.70 |
% 176.85/27.70 End of proof
% 176.85/27.70
% 176.85/27.70 Sub-proof #50 shows that the following formulas are inconsistent:
% 176.85/27.70 ----------------------------------------------------------------
% 176.85/27.70 (1) ~ (all_61_9 = e2)
% 176.85/27.70 (2) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 176.85/27.70 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 176.85/27.70 (3) op(all_61_9, e2) = all_65_25
% 176.85/27.70 (4) op(e1, e2) = all_61_6
% 176.85/27.70 (5) op(e2, all_52_1) = unit
% 176.85/27.70 (6) all_58_2 = all_52_2
% 176.85/27.70 (7) op(all_61_6, e2) = all_61_6
% 176.85/27.70 (8) all_58_1 = all_52_1
% 176.85/27.70 (9) all_58_1 = e1
% 176.85/27.70 (10) op(e1, all_52_2) = unit
% 176.85/27.70 (11) op(e2, e1) = all_61_9
% 176.85/27.70 (12) all_58_2 = e2
% 176.85/27.70 (13) op(unit, e2) = e2
% 176.85/27.70
% 176.85/27.70 Begin of proof
% 176.85/27.70 |
% 176.85/27.70 | COMBINE_EQS: (8), (9) imply:
% 176.85/27.70 | (14) all_52_1 = e1
% 176.85/27.70 |
% 176.85/27.70 | SIMP: (14) implies:
% 176.85/27.70 | (15) all_52_1 = e1
% 176.85/27.70 |
% 176.85/27.70 | COMBINE_EQS: (6), (12) imply:
% 176.85/27.70 | (16) all_52_2 = e2
% 176.85/27.70 |
% 176.85/27.70 | SIMP: (16) implies:
% 176.85/27.70 | (17) all_52_2 = e2
% 176.85/27.70 |
% 176.85/27.70 | REF_CLOSE: (1), (2), (3), (4), (5), (7), (10), (11), (13), (15), (17) are
% 176.85/27.70 | inconsistent by sub-proof #51.
% 176.85/27.70 |
% 176.85/27.70 End of proof
% 176.85/27.70
% 176.85/27.70 Sub-proof #51 shows that the following formulas are inconsistent:
% 176.85/27.70 ----------------------------------------------------------------
% 176.85/27.70 (1) ~ (all_61_9 = e2)
% 176.85/27.70 (2) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 176.85/27.70 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 176.85/27.70 (3) op(all_61_9, e2) = all_65_25
% 176.85/27.70 (4) op(e1, e2) = all_61_6
% 176.85/27.70 (5) all_52_2 = e2
% 176.85/27.70 (6) op(e2, all_52_1) = unit
% 176.85/27.70 (7) op(all_61_6, e2) = all_61_6
% 176.85/27.70 (8) all_52_1 = e1
% 176.85/27.70 (9) op(e1, all_52_2) = unit
% 176.85/27.70 (10) op(e2, e1) = all_61_9
% 176.85/27.70 (11) op(unit, e2) = e2
% 176.85/27.70
% 176.85/27.70 Begin of proof
% 176.85/27.70 |
% 176.85/27.70 | REDUCE: (6), (8) imply:
% 176.85/27.70 | (12) op(e2, e1) = unit
% 176.85/27.70 |
% 176.85/27.70 | REDUCE: (5), (9) imply:
% 176.85/27.70 | (13) op(e1, e2) = unit
% 176.85/27.70 |
% 176.85/27.70 | REF_CLOSE: (1), (2), (3), (4), (7), (10), (11), (12), (13) are inconsistent by
% 176.85/27.70 | sub-proof #52.
% 176.85/27.70 |
% 176.85/27.70 End of proof
% 176.85/27.70
% 176.85/27.70 Sub-proof #52 shows that the following formulas are inconsistent:
% 176.85/27.70 ----------------------------------------------------------------
% 176.85/27.70 (1) op(e2, e1) = unit
% 176.85/27.70 (2) ~ (all_61_9 = e2)
% 176.85/27.70 (3) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 176.85/27.70 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 176.85/27.70 (4) op(all_61_9, e2) = all_65_25
% 176.85/27.70 (5) op(e1, e2) = all_61_6
% 176.85/27.70 (6) op(e1, e2) = unit
% 176.85/27.70 (7) op(all_61_6, e2) = all_61_6
% 176.85/27.70 (8) op(e2, e1) = all_61_9
% 176.85/27.70 (9) op(unit, e2) = e2
% 176.85/27.70
% 176.85/27.70 Begin of proof
% 176.85/27.70 |
% 176.85/27.70 | GROUND_INST: instantiating (3) with all_61_6, unit, e2, e1, simplifying with
% 176.85/27.70 | (5), (6) gives:
% 176.85/27.70 | (10) all_61_6 = unit
% 176.85/27.70 |
% 176.85/27.70 | GROUND_INST: instantiating (3) with all_61_9, unit, e1, e2, simplifying with
% 176.85/27.70 | (1), (8) gives:
% 176.85/27.70 | (11) all_61_9 = unit
% 176.85/27.70 |
% 176.85/27.70 | REDUCE: (2), (11) imply:
% 176.85/27.70 | (12) ~ (unit = e2)
% 176.85/27.70 |
% 176.85/27.70 | REDUCE: (7), (10) imply:
% 176.85/27.70 | (13) op(unit, e2) = unit
% 176.85/27.70 |
% 176.85/27.70 | REDUCE: (4), (11) imply:
% 176.85/27.70 | (14) op(unit, e2) = all_65_25
% 176.85/27.70 |
% 176.85/27.70 | GROUND_INST: instantiating (3) with e2, all_65_25, e2, unit, simplifying with
% 176.85/27.70 | (9), (14) gives:
% 176.85/27.70 | (15) all_65_25 = e2
% 176.85/27.70 |
% 176.85/27.70 | GROUND_INST: instantiating (3) with unit, all_65_25, e2, unit, simplifying
% 176.85/27.70 | with (13), (14) gives:
% 176.85/27.70 | (16) all_65_25 = unit
% 176.85/27.70 |
% 176.85/27.70 | COMBINE_EQS: (15), (16) imply:
% 176.85/27.70 | (17) unit = e2
% 176.85/27.70 |
% 176.85/27.70 | SIMP: (17) implies:
% 176.85/27.70 | (18) unit = e2
% 176.85/27.70 |
% 176.85/27.70 | REDUCE: (12), (18) imply:
% 176.85/27.70 | (19) $false
% 176.85/27.70 |
% 176.85/27.70 | CLOSE: (19) is inconsistent.
% 176.85/27.70 |
% 176.85/27.70 End of proof
% 176.85/27.70
% 176.85/27.70 Sub-proof #53 shows that the following formulas are inconsistent:
% 176.85/27.70 ----------------------------------------------------------------
% 176.85/27.70 (1) ~ (all_52_3 = e3)
% 176.85/27.70 (2) op(all_61_7, e2) = all_61_7
% 176.85/27.70 (3) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 176.85/27.70 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 176.85/27.70 (4) op(e2, unit) = e2
% 176.85/27.70 (5) ~ (all_61_13 = e2)
% 176.85/27.70 (6) ~ (all_58_3 = e2) | all_58_1 = e0
% 176.85/27.70 (7) op(e0, e0) = e0
% 176.85/27.70 (8) op(e0, e2) = all_61_7
% 176.85/27.70 (9) all_56_3 = e3 | all_56_3 = e2 | all_56_3 = e1 | all_56_3 = e0
% 176.85/27.70 (10) all_58_3 = all_52_3
% 176.85/27.70 (11) op(e2, all_52_1) = unit
% 176.85/27.70 (12) ~ (all_58_1 = e0) | all_58_3 = e2
% 176.85/27.70 (13) op(e2, e0) = all_61_13
% 176.85/27.70 (14) ~ (all_52_3 = e1)
% 176.85/27.70 (15) all_56_3 = all_52_3
% 176.85/27.70 (16) all_58_1 = all_52_1
% 176.85/27.70 (17) op(all_61_13, e2) = all_65_29
% 176.85/27.70 (18) op(e0, all_52_3) = unit
% 176.85/27.70 (19) op(unit, e2) = e2
% 176.85/27.70
% 176.85/27.70 Begin of proof
% 176.85/27.70 |
% 176.85/27.70 | BETA: splitting (12) gives:
% 176.85/27.70 |
% 176.85/27.70 | Case 1:
% 176.85/27.70 | |
% 176.85/27.70 | | (20) ~ (all_58_1 = e0)
% 176.85/27.70 | |
% 176.85/27.70 | | REDUCE: (16), (20) imply:
% 176.85/27.70 | | (21) ~ (all_52_1 = e0)
% 176.85/27.70 | |
% 176.85/27.70 | | BETA: splitting (6) gives:
% 176.85/27.70 | |
% 176.85/27.70 | | Case 1:
% 176.85/27.70 | | |
% 176.85/27.70 | | | (22) ~ (all_58_3 = e2)
% 176.85/27.70 | | |
% 176.85/27.70 | | | REDUCE: (10), (22) imply:
% 176.85/27.70 | | | (23) ~ (all_52_3 = e2)
% 176.85/27.70 | | |
% 176.85/27.70 | | | REF_CLOSE: (1), (3), (4), (5), (7), (9), (13), (14), (15), (18), (23) are
% 176.85/27.70 | | | inconsistent by sub-proof #289.
% 176.85/27.70 | | |
% 176.85/27.70 | | Case 2:
% 176.85/27.70 | | |
% 176.85/27.70 | | | (24) all_58_1 = e0
% 176.85/27.70 | | |
% 176.85/27.70 | | | REF_CLOSE: (16), (21), (24) are inconsistent by sub-proof #462.
% 176.85/27.70 | | |
% 176.85/27.70 | | End of split
% 176.85/27.70 | |
% 176.85/27.70 | Case 2:
% 176.85/27.70 | |
% 176.85/27.70 | | (25) all_58_3 = e2
% 176.85/27.70 | | (26) all_58_1 = e0
% 176.85/27.70 | |
% 176.85/27.70 | | REF_CLOSE: (2), (3), (5), (8), (10), (11), (13), (16), (17), (18), (19),
% 176.85/27.70 | | (25), (26) are inconsistent by sub-proof #437.
% 176.85/27.70 | |
% 176.85/27.70 | End of split
% 176.85/27.70 |
% 176.85/27.70 End of proof
% 176.85/27.70
% 176.85/27.70 Sub-proof #54 shows that the following formulas are inconsistent:
% 176.85/27.71 ----------------------------------------------------------------
% 176.85/27.71 (1) all_56_2 = e3 | all_56_2 = e2 | all_56_2 = e1 | all_56_2 = e0
% 176.85/27.71 (2) all_56_2 = all_52_2
% 176.85/27.71 (3) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 176.85/27.71 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 176.85/27.71 (4) ~ (all_52_2 = e0)
% 176.85/27.71 (5) ~ (all_52_2 = e3)
% 176.85/27.71 (6) ~ (all_52_2 = e2)
% 176.85/27.71 (7) op(e1, e1) = e3
% 176.85/27.71 (8) op(e1, all_52_2) = unit
% 176.85/27.71 (9) ~ (unit = e3)
% 176.85/27.71
% 176.85/27.71 Begin of proof
% 176.85/27.71 |
% 176.85/27.71 | BETA: splitting (1) gives:
% 176.85/27.71 |
% 176.85/27.71 | Case 1:
% 176.85/27.71 | |
% 176.85/27.71 | | (10) all_56_2 = e3
% 176.85/27.71 | |
% 176.85/27.71 | | REF_CLOSE: (2), (5), (10) are inconsistent by sub-proof #482.
% 176.85/27.71 | |
% 176.85/27.71 | Case 2:
% 176.85/27.71 | |
% 176.85/27.71 | | (11) all_56_2 = e2 | all_56_2 = e1 | all_56_2 = e0
% 176.85/27.71 | |
% 176.85/27.71 | | BETA: splitting (11) gives:
% 176.85/27.71 | |
% 176.85/27.71 | | Case 1:
% 176.85/27.71 | | |
% 176.85/27.71 | | | (12) all_56_2 = e2
% 176.85/27.71 | | |
% 176.85/27.71 | | | REF_CLOSE: (2), (6), (12) are inconsistent by sub-proof #481.
% 176.85/27.71 | | |
% 176.85/27.71 | | Case 2:
% 176.85/27.71 | | |
% 176.85/27.71 | | | (13) all_56_2 = e1 | all_56_2 = e0
% 176.85/27.71 | | |
% 176.85/27.71 | | | BETA: splitting (13) gives:
% 176.85/27.71 | | |
% 176.85/27.71 | | | Case 1:
% 176.85/27.71 | | | |
% 176.85/27.71 | | | | (14) all_56_2 = e1
% 176.85/27.71 | | | |
% 176.85/27.71 | | | | COMBINE_EQS: (2), (14) imply:
% 176.85/27.71 | | | | (15) all_52_2 = e1
% 176.85/27.71 | | | |
% 176.85/27.71 | | | | SIMP: (15) implies:
% 176.85/27.71 | | | | (16) all_52_2 = e1
% 176.85/27.71 | | | |
% 176.85/27.71 | | | | REDUCE: (8), (16) imply:
% 176.85/27.71 | | | | (17) op(e1, e1) = unit
% 176.85/27.71 | | | |
% 176.85/27.71 | | | | GROUND_INST: instantiating (3) with e3, unit, e1, e1, simplifying with
% 176.85/27.71 | | | | (7), (17) gives:
% 176.85/27.71 | | | | (18) unit = e3
% 176.85/27.71 | | | |
% 176.85/27.71 | | | | REDUCE: (9), (18) imply:
% 176.85/27.71 | | | | (19) $false
% 176.85/27.71 | | | |
% 176.85/27.71 | | | | CLOSE: (19) is inconsistent.
% 176.85/27.71 | | | |
% 176.85/27.71 | | | Case 2:
% 176.85/27.71 | | | |
% 176.85/27.71 | | | | (20) all_56_2 = e0
% 176.85/27.71 | | | |
% 176.85/27.71 | | | | REF_CLOSE: (2), (4), (20) are inconsistent by sub-proof #480.
% 176.85/27.71 | | | |
% 176.85/27.71 | | | End of split
% 176.85/27.71 | | |
% 176.85/27.71 | | End of split
% 176.85/27.71 | |
% 176.85/27.71 | End of split
% 176.85/27.71 |
% 176.85/27.71 End of proof
% 176.85/27.71
% 176.85/27.71 Sub-proof #55 shows that the following formulas are inconsistent:
% 176.85/27.71 ----------------------------------------------------------------
% 176.85/27.71 (1) all_63_14 = all_61_11
% 176.85/27.71 (2) all_63_14 = e3
% 176.85/27.71 (3) ~ (all_61_11 = e3)
% 176.85/27.71
% 176.85/27.71 Begin of proof
% 176.85/27.71 |
% 176.85/27.71 | COMBINE_EQS: (1), (2) imply:
% 176.85/27.71 | (4) all_61_11 = e3
% 176.85/27.71 |
% 176.85/27.71 | SIMP: (4) implies:
% 176.85/27.71 | (5) all_61_11 = e3
% 176.85/27.71 |
% 176.85/27.71 | REDUCE: (3), (5) imply:
% 176.85/27.71 | (6) $false
% 176.85/27.71 |
% 176.85/27.71 | CLOSE: (6) is inconsistent.
% 176.85/27.71 |
% 176.85/27.71 End of proof
% 176.85/27.71
% 176.85/27.71 Sub-proof #56 shows that the following formulas are inconsistent:
% 176.85/27.71 ----------------------------------------------------------------
% 176.85/27.71 (1) op(e0, e0) = e3
% 176.85/27.71 (2) all_56_2 = e3 | all_56_2 = e2 | all_56_2 = e1 | all_56_2 = e0
% 176.85/27.71 (3) all_56_2 = all_52_2
% 176.85/27.71 (4) op(e1, e1) = e0
% 176.85/27.71 (5) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 176.85/27.71 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 176.85/27.71 (6) ~ (all_52_2 = e0)
% 176.85/27.71 (7) ~ (all_52_2 = e3)
% 176.85/27.71 (8) ~ (all_52_2 = e2)
% 176.85/27.71 (9) op(e1, all_52_2) = unit
% 176.85/27.71 (10) ~ (unit = e3)
% 176.85/27.71 (11) op(e0, unit) = e0
% 176.85/27.71
% 176.85/27.71 Begin of proof
% 176.85/27.71 |
% 176.85/27.71 | BETA: splitting (2) gives:
% 176.85/27.71 |
% 176.85/27.71 | Case 1:
% 176.85/27.71 | |
% 176.85/27.71 | | (12) all_56_2 = e3
% 176.85/27.71 | |
% 176.85/27.71 | | COMBINE_EQS: (3), (12) imply:
% 176.85/27.71 | | (13) all_52_2 = e3
% 176.85/27.71 | |
% 176.85/27.71 | | REDUCE: (7), (13) imply:
% 176.85/27.71 | | (14) $false
% 176.85/27.71 | |
% 176.85/27.71 | | CLOSE: (14) is inconsistent.
% 176.85/27.71 | |
% 176.85/27.71 | Case 2:
% 176.85/27.71 | |
% 176.85/27.71 | | (15) all_56_2 = e2 | all_56_2 = e1 | all_56_2 = e0
% 176.85/27.71 | |
% 176.85/27.71 | | BETA: splitting (15) gives:
% 176.85/27.71 | |
% 176.85/27.71 | | Case 1:
% 176.85/27.71 | | |
% 176.85/27.71 | | | (16) all_56_2 = e2
% 176.85/27.71 | | |
% 176.85/27.71 | | | COMBINE_EQS: (3), (16) imply:
% 176.85/27.71 | | | (17) all_52_2 = e2
% 176.85/27.71 | | |
% 176.85/27.71 | | | REDUCE: (8), (17) imply:
% 176.85/27.71 | | | (18) $false
% 176.85/27.71 | | |
% 176.85/27.71 | | | CLOSE: (18) is inconsistent.
% 176.85/27.71 | | |
% 176.85/27.71 | | Case 2:
% 176.85/27.71 | | |
% 176.85/27.71 | | | (19) all_56_2 = e1 | all_56_2 = e0
% 176.85/27.71 | | |
% 176.85/27.71 | | | BETA: splitting (19) gives:
% 176.85/27.71 | | |
% 176.85/27.71 | | | Case 1:
% 176.85/27.71 | | | |
% 176.85/27.71 | | | | (20) all_56_2 = e1
% 176.85/27.71 | | | |
% 176.85/27.71 | | | | COMBINE_EQS: (3), (20) imply:
% 176.85/27.71 | | | | (21) all_52_2 = e1
% 176.85/27.71 | | | |
% 176.85/27.71 | | | | REDUCE: (9), (21) imply:
% 176.85/27.71 | | | | (22) op(e1, e1) = unit
% 176.85/27.71 | | | |
% 176.85/27.71 | | | | GROUND_INST: instantiating (5) with e0, unit, e1, e1, simplifying with
% 176.85/27.71 | | | | (4), (22) gives:
% 176.85/27.71 | | | | (23) unit = e0
% 176.85/27.71 | | | |
% 176.85/27.71 | | | | REF_CLOSE: (1), (5), (10), (11), (23) are inconsistent by sub-proof
% 176.85/27.71 | | | | #393.
% 176.85/27.71 | | | |
% 176.85/27.71 | | | Case 2:
% 176.85/27.71 | | | |
% 176.85/27.71 | | | | (24) all_56_2 = e0
% 176.85/27.71 | | | |
% 176.85/27.71 | | | | COMBINE_EQS: (3), (24) imply:
% 176.85/27.71 | | | | (25) all_52_2 = e0
% 176.85/27.71 | | | |
% 176.85/27.71 | | | | REDUCE: (6), (25) imply:
% 176.85/27.71 | | | | (26) $false
% 176.85/27.71 | | | |
% 176.85/27.71 | | | | CLOSE: (26) is inconsistent.
% 176.85/27.71 | | | |
% 176.85/27.71 | | | End of split
% 176.85/27.71 | | |
% 176.85/27.71 | | End of split
% 176.85/27.71 | |
% 176.85/27.71 | End of split
% 176.85/27.71 |
% 176.85/27.71 End of proof
% 176.85/27.71
% 176.85/27.71 Sub-proof #57 shows that the following formulas are inconsistent:
% 176.85/27.71 ----------------------------------------------------------------
% 176.85/27.71 (1) all_65_38 = e1
% 176.85/27.71 (2) ~ (all_61_13 = unit)
% 176.85/27.71 (3) all_65_25 = e2
% 176.85/27.71 (4) all_65_25 = all_61_8
% 176.85/27.71 (5) unit = e2 | unit = e1 | unit = e0
% 176.85/27.71 (6) ~ (unit = e0)
% 176.85/27.71 (7) all_65_38 = all_61_13
% 176.85/27.71 (8) ~ (all_61_8 = unit)
% 176.85/27.71
% 176.85/27.71 Begin of proof
% 176.85/27.71 |
% 176.85/27.71 | COMBINE_EQS: (3), (4) imply:
% 176.85/27.71 | (9) all_61_8 = e2
% 176.85/27.71 |
% 176.85/27.71 | SIMP: (9) implies:
% 176.85/27.71 | (10) all_61_8 = e2
% 176.85/27.71 |
% 176.85/27.71 | COMBINE_EQS: (1), (7) imply:
% 176.85/27.71 | (11) all_61_13 = e1
% 176.85/27.71 |
% 176.85/27.71 | REDUCE: (8), (10) imply:
% 176.85/27.71 | (12) ~ (unit = e2)
% 176.85/27.71 |
% 176.85/27.71 | SIMP: (12) implies:
% 176.85/27.71 | (13) ~ (unit = e2)
% 176.85/27.71 |
% 176.85/27.71 | REDUCE: (2), (11) imply:
% 176.85/27.71 | (14) ~ (unit = e1)
% 176.85/27.71 |
% 176.85/27.71 | SIMP: (14) implies:
% 176.85/27.71 | (15) ~ (unit = e1)
% 176.85/27.71 |
% 176.85/27.71 | REF_CLOSE: (5), (6), (13), (15) are inconsistent by sub-proof #398.
% 176.85/27.71 |
% 176.85/27.71 End of proof
% 176.85/27.71
% 176.85/27.71 Sub-proof #58 shows that the following formulas are inconsistent:
% 176.85/27.71 ----------------------------------------------------------------
% 176.85/27.71 (1) op(all_6_1, e2) = e0
% 176.85/27.71 (2) all_56_0 = e3 | all_56_0 = e2 | all_56_0 = e1 | all_56_0 = e0
% 176.85/27.71 (3) ~ (all_52_0 = all_52_1)
% 176.85/27.71 (4) op(e3, all_52_0) = unit
% 176.85/27.71 (5) ~ (all_52_1 = all_52_3)
% 176.85/27.71 (6) ~ (all_52_0 = all_52_3)
% 176.85/27.71 (7) all_58_0 = all_52_0
% 176.85/27.71 (8) all_56_1 = e3 | all_56_1 = e2 | all_56_1 = e1 | all_56_1 = e0
% 176.85/27.71 (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 176.85/27.71 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 176.85/27.71 (10) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (inv(v2) = v1) |
% 176.85/27.71 ~ (inv(v2) = v0))
% 176.85/27.71 (11) op(e2, unit) = e2
% 176.85/27.71 (12) ~ (all_52_0 = e1)
% 176.85/27.71 (13) ~ (all_58_0 = e2) | all_58_1 = e3
% 176.85/27.71 (14) op(all_36_1, e3) = e0
% 176.85/27.71 (15) ~ (all_58_0 = e0) | all_58_3 = e3
% 176.85/27.71 (16) op(e3, e0) = all_36_1
% 176.85/27.71 (17) op(e3, e3) = e0
% 176.85/27.71 (18) inv(unit) = unit
% 176.85/27.71 (19) op(unit, e3) = e3
% 176.85/27.71 (20) all_56_1 = all_52_1
% 176.85/27.71 (21) all_58_3 = all_52_3
% 176.85/27.71 (22) inv(e0) = all_52_3
% 176.85/27.71 (23) ~ (all_52_2 = e2)
% 176.85/27.71 (24) op(e2, all_52_1) = unit
% 176.85/27.71 (25) all_58_2 = all_52_2
% 176.85/27.71 (26) op(e2, e0) = all_61_13
% 176.85/27.71 (27) op(e2, all_61_13) = all_36_1
% 176.85/27.71 (28) all_58_1 = all_52_1
% 176.85/27.71 (29) op(e3, unit) = e3
% 176.85/27.71 (30) ~ (e2 = e0)
% 176.85/27.71 (31) op(e3, e2) = all_6_1
% 176.85/27.71 (32) ~ (all_58_1 = e1) | all_58_2 = e2
% 176.85/27.71 (33) ~ (unit = e3)
% 176.85/27.71 (34) all_56_0 = all_52_0
% 176.85/27.71 (35) op(unit, e2) = e2
% 176.85/27.71
% 176.85/27.71 Begin of proof
% 176.85/27.71 |
% 176.85/27.71 | BETA: splitting (32) gives:
% 176.85/27.71 |
% 176.85/27.71 | Case 1:
% 176.85/27.71 | |
% 176.85/27.71 | | (36) ~ (all_58_1 = e1)
% 176.85/27.71 | |
% 176.85/27.71 | | REDUCE: (28), (36) imply:
% 176.85/27.71 | | (37) ~ (all_52_1 = e1)
% 176.85/27.71 | |
% 176.85/27.71 | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12),
% 176.85/27.71 | | (13), (14), (15), (16), (17), (18), (19), (20), (21), (22), (24),
% 176.85/27.71 | | (26), (27), (29), (30), (31), (33), (34), (35), (37) are
% 176.85/27.71 | | inconsistent by sub-proof #91.
% 176.85/27.71 | |
% 176.85/27.71 | Case 2:
% 176.85/27.71 | |
% 176.85/27.71 | | (38) all_58_2 = e2
% 176.85/27.71 | |
% 176.85/27.71 | | REF_CLOSE: (23), (25), (38) are inconsistent by sub-proof #433.
% 176.85/27.71 | |
% 176.85/27.71 | End of split
% 176.85/27.71 |
% 176.85/27.71 End of proof
% 176.85/27.71
% 176.85/27.71 Sub-proof #59 shows that the following formulas are inconsistent:
% 176.85/27.71 ----------------------------------------------------------------
% 176.85/27.71 (1) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 176.85/27.71 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 176.85/27.71 (2) op(e2, e0) = all_61_13
% 176.85/27.71 (3) ~ (all_61_9 = e0)
% 176.85/27.71 (4) op(all_61_13, e0) = all_61_9
% 176.85/27.71 (5) op(unit, e0) = e0
% 176.85/27.71 (6) op(e2, e0) = unit
% 176.85/27.71
% 176.85/27.71 Begin of proof
% 176.85/27.71 |
% 176.85/27.71 | GROUND_INST: instantiating (1) with all_61_13, unit, e0, e2, simplifying with
% 176.85/27.71 | (2), (6) gives:
% 176.85/27.71 | (7) all_61_13 = unit
% 176.85/27.71 |
% 176.85/27.71 | REDUCE: (4), (7) imply:
% 176.85/27.71 | (8) op(unit, e0) = all_61_9
% 176.85/27.71 |
% 176.85/27.71 | GROUND_INST: instantiating (1) with e0, all_61_9, e0, unit, simplifying with
% 176.85/27.71 | (5), (8) gives:
% 176.85/27.71 | (9) all_61_9 = e0
% 176.85/27.71 |
% 176.85/27.71 | REDUCE: (3), (9) imply:
% 176.85/27.71 | (10) $false
% 176.85/27.71 |
% 176.85/27.71 | CLOSE: (10) is inconsistent.
% 176.85/27.71 |
% 176.85/27.71 End of proof
% 176.85/27.71
% 176.85/27.71 Sub-proof #60 shows that the following formulas are inconsistent:
% 176.85/27.71 ----------------------------------------------------------------
% 176.85/27.71 (1) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 176.85/27.71 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 176.85/27.71 (2) op(all_61_9, e2) = all_40_1
% 176.85/27.71 (3) op(unit, e1) = e1
% 176.85/27.71 (4) ~ (all_61_9 = all_40_1)
% 176.85/27.71 (5) op(e2, all_52_1) = unit
% 176.85/27.71 (6) ~ (all_61_9 = all_61_13)
% 176.85/27.71 (7) ~ (all_61_9 = e0)
% 176.85/27.71 (8) unit = e2 | unit = e1 | unit = e0
% 176.85/27.71 (9) all_58_1 = all_52_1
% 176.85/27.71 (10) all_58_1 = e1
% 176.85/27.71 (11) op(e2, e1) = all_61_9
% 176.85/27.71 (12) op(all_61_9, e1) = all_61_13
% 176.85/27.71 (13) op(unit, e2) = e2
% 176.85/27.71
% 176.85/27.71 Begin of proof
% 176.85/27.71 |
% 176.85/27.71 | COMBINE_EQS: (9), (10) imply:
% 176.85/27.71 | (14) all_52_1 = e1
% 176.85/27.71 |
% 176.85/27.71 | SIMP: (14) implies:
% 176.85/27.71 | (15) all_52_1 = e1
% 176.85/27.71 |
% 176.85/27.71 | REDUCE: (5), (15) imply:
% 176.85/27.71 | (16) op(e2, e1) = unit
% 176.85/27.71 |
% 176.85/27.71 | GROUND_INST: instantiating (1) with all_61_9, unit, e1, e2, simplifying with
% 176.85/27.71 | (11), (16) gives:
% 176.85/27.71 | (17) all_61_9 = unit
% 176.85/27.71 |
% 176.85/27.71 | REDUCE: (6), (17) imply:
% 176.85/27.71 | (18) ~ (all_61_13 = unit)
% 176.85/27.71 |
% 176.85/27.71 | SIMP: (18) implies:
% 176.85/27.71 | (19) ~ (all_61_13 = unit)
% 176.85/27.71 |
% 176.85/27.71 | REDUCE: (4), (17) imply:
% 176.85/27.71 | (20) ~ (all_40_1 = unit)
% 176.85/27.71 |
% 176.85/27.71 | SIMP: (20) implies:
% 176.85/27.71 | (21) ~ (all_40_1 = unit)
% 176.85/27.71 |
% 176.85/27.71 | REDUCE: (7), (17) imply:
% 176.85/27.71 | (22) ~ (unit = e0)
% 176.85/27.71 |
% 176.85/27.71 | REDUCE: (2), (17) imply:
% 176.85/27.71 | (23) op(unit, e2) = all_40_1
% 176.85/27.71 |
% 176.85/27.71 | REDUCE: (12), (17) imply:
% 176.85/27.71 | (24) op(unit, e1) = all_61_13
% 176.85/27.71 |
% 176.85/27.71 | GROUND_INST: instantiating (1) with e1, all_61_13, e1, unit, simplifying with
% 176.85/27.71 | (3), (24) gives:
% 176.85/27.71 | (25) all_61_13 = e1
% 176.85/27.71 |
% 176.85/27.71 | GROUND_INST: instantiating (1) with e2, all_40_1, e2, unit, simplifying with
% 176.85/27.71 | (13), (23) gives:
% 176.85/27.71 | (26) all_40_1 = e2
% 176.85/27.71 |
% 176.85/27.71 | REDUCE: (19), (25) imply:
% 176.85/27.71 | (27) ~ (unit = e1)
% 176.85/27.71 |
% 176.85/27.71 | SIMP: (27) implies:
% 176.85/27.71 | (28) ~ (unit = e1)
% 176.85/27.71 |
% 176.85/27.71 | REDUCE: (21), (26) imply:
% 176.85/27.71 | (29) ~ (unit = e2)
% 176.85/27.71 |
% 176.85/27.71 | SIMP: (29) implies:
% 176.85/27.71 | (30) ~ (unit = e2)
% 176.85/27.71 |
% 176.85/27.71 | REF_CLOSE: (8), (22), (28), (30) are inconsistent by sub-proof #398.
% 176.85/27.71 |
% 176.85/27.71 End of proof
% 176.85/27.71
% 176.85/27.71 Sub-proof #61 shows that the following formulas are inconsistent:
% 176.85/27.71 ----------------------------------------------------------------
% 176.85/27.71 (1) op(all_61_13, e2) = all_28_1
% 176.85/27.71 (2) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 176.85/27.71 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 176.85/27.71 (3) all_58_1 = e0
% 176.85/27.71 (4) ~ (all_28_1 = e2)
% 176.85/27.71 (5) op(e2, all_52_1) = unit
% 176.85/27.71 (6) op(e2, e0) = all_61_13
% 176.85/27.71 (7) all_58_1 = all_52_1
% 176.85/27.71 (8) op(unit, e2) = e2
% 176.85/27.71
% 176.85/27.71 Begin of proof
% 176.85/27.71 |
% 176.85/27.71 | COMBINE_EQS: (3), (7) imply:
% 176.85/27.71 | (9) all_52_1 = e0
% 176.85/27.71 |
% 176.85/27.71 | SIMP: (9) implies:
% 176.85/27.71 | (10) all_52_1 = e0
% 176.85/27.71 |
% 176.85/27.71 | REDUCE: (5), (10) imply:
% 176.85/27.71 | (11) op(e2, e0) = unit
% 176.85/27.71 |
% 176.85/27.71 | REF_CLOSE: (1), (2), (4), (6), (8), (11) are inconsistent by sub-proof #62.
% 176.85/27.71 |
% 176.85/27.71 End of proof
% 176.85/27.71
% 176.85/27.71 Sub-proof #62 shows that the following formulas are inconsistent:
% 176.85/27.71 ----------------------------------------------------------------
% 176.85/27.71 (1) op(all_61_13, e2) = all_28_1
% 176.85/27.71 (2) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 176.85/27.71 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 176.85/27.71 (3) ~ (all_28_1 = e2)
% 176.85/27.71 (4) op(e2, e0) = all_61_13
% 176.85/27.71 (5) op(e2, e0) = unit
% 176.85/27.71 (6) op(unit, e2) = e2
% 176.85/27.71
% 176.85/27.71 Begin of proof
% 176.85/27.71 |
% 176.85/27.71 | GROUND_INST: instantiating (2) with all_61_13, unit, e0, e2, simplifying with
% 176.85/27.71 | (4), (5) gives:
% 176.85/27.71 | (7) all_61_13 = unit
% 176.85/27.71 |
% 176.85/27.71 | REDUCE: (1), (7) imply:
% 176.85/27.71 | (8) op(unit, e2) = all_28_1
% 176.85/27.71 |
% 176.85/27.71 | GROUND_INST: instantiating (2) with e2, all_28_1, e2, unit, simplifying with
% 176.85/27.71 | (6), (8) gives:
% 176.85/27.71 | (9) all_28_1 = e2
% 176.85/27.71 |
% 176.85/27.71 | REDUCE: (3), (9) imply:
% 176.85/27.71 | (10) $false
% 176.85/27.71 |
% 176.85/27.71 | CLOSE: (10) is inconsistent.
% 176.85/27.71 |
% 176.85/27.71 End of proof
% 176.85/27.71
% 176.85/27.71 Sub-proof #63 shows that the following formulas are inconsistent:
% 176.85/27.71 ----------------------------------------------------------------
% 176.85/27.71 (1) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 176.85/27.71 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 176.85/27.71 (2) op(e2, e0) = all_61_13
% 176.85/27.71 (3) op(all_61_13, e2) = all_61_12
% 176.85/27.71 (4) op(e2, e0) = unit
% 176.85/27.71 (5) ~ (all_61_12 = e2)
% 176.85/27.71 (6) op(unit, e2) = e2
% 176.85/27.71
% 176.85/27.71 Begin of proof
% 176.85/27.71 |
% 176.85/27.71 | GROUND_INST: instantiating (1) with all_61_13, unit, e0, e2, simplifying with
% 176.85/27.71 | (2), (4) gives:
% 176.85/27.71 | (7) all_61_13 = unit
% 176.85/27.71 |
% 176.85/27.71 | REDUCE: (3), (7) imply:
% 176.85/27.71 | (8) op(unit, e2) = all_61_12
% 176.85/27.71 |
% 176.85/27.71 | GROUND_INST: instantiating (1) with e2, all_61_12, e2, unit, simplifying with
% 176.85/27.71 | (6), (8) gives:
% 176.85/27.71 | (9) all_61_12 = e2
% 176.85/27.71 |
% 176.85/27.71 | REDUCE: (5), (9) imply:
% 176.85/27.71 | (10) $false
% 176.85/27.71 |
% 176.85/27.71 | CLOSE: (10) is inconsistent.
% 176.85/27.71 |
% 176.85/27.71 End of proof
% 176.85/27.71
% 176.85/27.71 Sub-proof #64 shows that the following formulas are inconsistent:
% 176.85/27.71 ----------------------------------------------------------------
% 176.85/27.71 (1) op(e2, e0) = all_20_1
% 176.85/27.71 (2) ~ (all_58_1 = e3) | all_58_0 = e2
% 176.85/27.71 (3) op(e3, all_52_0) = unit
% 176.85/27.71 (4) all_58_0 = all_52_0
% 176.85/27.71 (5) op(all_20_1, e0) = e3
% 176.85/27.71 (6) all_56_1 = e3 | all_56_1 = e2 | all_56_1 = e1 | all_56_1 = e0
% 176.85/27.71 (7) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 176.85/27.71 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 176.85/27.71 (8) ~ (e2 = e1)
% 176.85/27.71 (9) op(e2, e2) = e3
% 176.85/27.71 (10) all_56_1 = all_52_1
% 176.85/27.71 (11) ~ (all_52_2 = e2)
% 176.85/27.71 (12) op(e2, all_52_1) = unit
% 176.85/27.71 (13) all_58_2 = all_52_2
% 176.85/27.71 (14) ~ (all_58_1 = e0) | all_58_3 = e2
% 176.85/27.71 (15) ~ (e3 = e0)
% 176.85/27.71 (16) all_58_1 = all_52_1
% 176.85/27.71 (17) op(unit, e0) = e0
% 176.85/27.71 (18) op(e3, e2) = all_6_1
% 176.85/27.71 (19) ~ (all_58_1 = e1) | all_58_2 = e2
% 176.85/27.71 (20) ~ (unit = e3)
% 176.85/27.71 (21) op(all_6_1, e2) = e1
% 176.85/27.71 (22) op(unit, e2) = e2
% 176.85/27.71
% 176.85/27.71 Begin of proof
% 176.85/27.71 |
% 176.85/27.71 | BETA: splitting (19) gives:
% 176.85/27.71 |
% 176.85/27.71 | Case 1:
% 176.85/27.71 | |
% 176.85/27.71 | | (23) ~ (all_58_1 = e1)
% 176.85/27.71 | |
% 176.85/27.71 | | REDUCE: (16), (23) imply:
% 176.85/27.71 | | (24) ~ (all_52_1 = e1)
% 176.85/27.71 | |
% 176.85/27.71 | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (12), (14),
% 176.85/27.71 | | (15), (16), (17), (18), (20), (21), (22), (24) are inconsistent
% 176.85/27.71 | | by sub-proof #78.
% 176.85/27.71 | |
% 176.85/27.71 | Case 2:
% 176.85/27.71 | |
% 176.85/27.71 | | (25) all_58_2 = e2
% 176.85/27.71 | |
% 176.85/27.71 | | COMBINE_EQS: (13), (25) imply:
% 176.85/27.71 | | (26) all_52_2 = e2
% 176.85/27.71 | |
% 176.85/27.71 | | REDUCE: (11), (26) imply:
% 176.85/27.71 | | (27) $false
% 176.85/27.71 | |
% 176.85/27.71 | | CLOSE: (27) is inconsistent.
% 176.85/27.71 | |
% 176.85/27.71 | End of split
% 176.85/27.71 |
% 176.85/27.71 End of proof
% 176.85/27.71
% 176.85/27.71 Sub-proof #65 shows that the following formulas are inconsistent:
% 176.85/27.71 ----------------------------------------------------------------
% 176.85/27.71 (1) op(all_6_1, e2) = e0
% 176.85/27.71 (2) ~ (all_58_1 = e3) | all_58_0 = e2
% 176.85/27.71 (3) op(e3, all_52_0) = unit
% 176.85/27.71 (4) ~ (all_52_3 = e2)
% 176.85/27.71 (5) all_58_0 = all_52_0
% 176.85/27.71 (6) all_56_1 = e3 | all_56_1 = e2 | all_56_1 = e1 | all_56_1 = e0
% 176.85/27.71 (7) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 176.85/27.71 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 176.85/27.71 (8) op(all_61_9, e2) = all_65_25
% 176.85/27.71 (9) ~ (all_58_0 = e2) | all_58_1 = e3
% 176.85/27.71 (10) ~ (all_61_8 = e2)
% 176.85/27.71 (11) op(e1, e2) = all_61_6
% 176.85/27.71 (12) op(e2, all_61_6) = all_65_25
% 176.85/27.71 (13) ~ (all_58_2 = e2) | all_58_1 = e1
% 176.85/27.71 (14) op(e2, e2) = e3
% 176.85/27.71 (15) all_56_1 = all_52_1
% 176.85/27.71 (16) all_58_3 = all_52_3
% 176.85/27.71 (17) op(e2, all_52_1) = unit
% 176.85/27.71 (18) all_58_2 = all_52_2
% 176.85/27.71 (19) ~ (all_58_1 = e0) | all_58_3 = e2
% 176.85/27.71 (20) all_58_1 = all_52_1
% 176.85/27.71 (21) ~ (e2 = e0)
% 176.85/27.71 (22) op(e2, all_61_9) = all_61_8
% 176.85/27.71 (23) op(e1, all_52_2) = unit
% 176.85/27.71 (24) op(e2, e1) = all_61_9
% 176.85/27.71 (25) op(e3, e2) = all_6_1
% 176.85/27.71 (26) ~ (all_58_1 = e1) | all_58_2 = e2
% 176.85/27.71 (27) ~ (unit = e3)
% 176.85/27.71 (28) op(unit, e2) = e2
% 176.85/27.71
% 176.85/27.71 Begin of proof
% 176.85/27.71 |
% 176.85/27.71 | BETA: splitting (19) gives:
% 176.85/27.71 |
% 176.85/27.71 | Case 1:
% 176.85/27.71 | |
% 176.85/27.71 | | (29) ~ (all_58_1 = e0)
% 176.85/27.71 | |
% 176.85/27.71 | | REDUCE: (20), (29) imply:
% 176.85/27.71 | | (30) ~ (all_52_1 = e0)
% 176.85/27.71 | |
% 176.85/27.71 | | BETA: splitting (13) gives:
% 176.85/27.71 | |
% 176.85/27.71 | | Case 1:
% 176.85/27.71 | | |
% 176.85/27.71 | | | (31) ~ (all_58_2 = e2)
% 176.85/27.71 | | |
% 176.85/27.71 | | | REDUCE: (18), (31) imply:
% 176.85/27.71 | | | (32) ~ (all_52_2 = e2)
% 176.85/27.71 | | |
% 176.85/27.71 | | | REF_CLOSE: (1), (2), (3), (5), (6), (7), (9), (14), (15), (17), (18),
% 176.85/27.71 | | | (20), (21), (25), (26), (27), (28), (30), (32) are inconsistent
% 176.85/27.71 | | | by sub-proof #75.
% 176.85/27.71 | | |
% 176.85/27.71 | | Case 2:
% 176.85/27.71 | | |
% 176.85/27.71 | | | (33) all_58_2 = e2
% 176.85/27.71 | | | (34) all_58_1 = e1
% 176.85/27.71 | | |
% 176.85/27.71 | | | REF_CLOSE: (7), (8), (10), (11), (12), (17), (18), (20), (22), (23), (24),
% 176.85/27.71 | | | (28), (33), (34) are inconsistent by sub-proof #67.
% 176.85/27.71 | | |
% 176.85/27.71 | | End of split
% 176.85/27.71 | |
% 176.85/27.71 | Case 2:
% 176.85/27.71 | |
% 176.85/27.71 | | (35) all_58_3 = e2
% 176.85/27.71 | |
% 176.85/27.71 | | REF_CLOSE: (4), (16), (35) are inconsistent by sub-proof #459.
% 176.85/27.71 | |
% 176.85/27.71 | End of split
% 176.85/27.71 |
% 176.85/27.71 End of proof
% 176.85/27.71
% 176.85/27.71 Sub-proof #66 shows that the following formulas are inconsistent:
% 176.85/27.71 ----------------------------------------------------------------
% 176.85/27.71 (1) ~ (all_58_1 = e3) | all_58_0 = e2
% 176.85/27.71 (2) all_58_0 = all_52_0
% 176.85/27.71 (3) all_56_1 = e3 | all_56_1 = e2 | all_56_1 = e1 | all_56_1 = e0
% 176.85/27.71 (4) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 176.85/27.71 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 176.85/27.71 (5) op(all_61_9, e2) = all_65_25
% 176.85/27.71 (6) ~ (all_61_8 = e2)
% 176.85/27.72 (7) op(e1, e2) = all_61_6
% 176.85/27.72 (8) op(e2, all_61_6) = all_65_25
% 176.85/27.72 (9) ~ (all_52_0 = e2)
% 176.85/27.72 (10) ~ (all_58_2 = e2) | all_58_1 = e1
% 176.85/27.72 (11) op(e2, e2) = e3
% 176.85/27.72 (12) all_56_1 = all_52_1
% 176.85/27.72 (13) op(e2, all_52_1) = unit
% 176.85/27.72 (14) all_58_2 = all_52_2
% 176.85/27.72 (15) all_58_1 = all_52_1
% 176.85/27.72 (16) op(e2, all_61_9) = all_61_8
% 176.85/27.72 (17) op(e1, all_52_2) = unit
% 176.85/27.72 (18) op(e2, e1) = all_61_9
% 176.85/27.72 (19) ~ (all_58_1 = e1) | all_58_2 = e2
% 176.85/27.72 (20) ~ (unit = e3)
% 176.85/27.72 (21) ~ (all_52_1 = e0)
% 176.85/27.72 (22) op(unit, e2) = e2
% 176.85/27.72
% 176.85/27.72 Begin of proof
% 176.85/27.72 |
% 176.85/27.72 | BETA: splitting (10) gives:
% 176.85/27.72 |
% 176.85/27.72 | Case 1:
% 176.85/27.72 | |
% 176.85/27.72 | | (23) ~ (all_58_2 = e2)
% 176.85/27.72 | |
% 176.85/27.72 | | REDUCE: (14), (23) imply:
% 176.85/27.72 | | (24) ~ (all_52_2 = e2)
% 176.85/27.72 | |
% 176.85/27.72 | | BETA: splitting (19) gives:
% 176.85/27.72 | |
% 176.85/27.72 | | Case 1:
% 176.85/27.72 | | |
% 176.85/27.72 | | | (25) ~ (all_58_1 = e1)
% 176.85/27.72 | | |
% 176.85/27.72 | | | REDUCE: (15), (25) imply:
% 176.85/27.72 | | | (26) ~ (all_52_1 = e1)
% 176.85/27.72 | | |
% 176.85/27.72 | | | REF_CLOSE: (1), (2), (3), (4), (9), (11), (12), (13), (15), (20), (21),
% 176.85/27.72 | | | (26) are inconsistent by sub-proof #77.
% 176.85/27.72 | | |
% 176.85/27.72 | | Case 2:
% 176.85/27.72 | | |
% 176.85/27.72 | | | (27) all_58_2 = e2
% 176.85/27.72 | | |
% 176.85/27.72 | | | REF_CLOSE: (14), (24), (27) are inconsistent by sub-proof #433.
% 176.85/27.72 | | |
% 176.85/27.72 | | End of split
% 176.85/27.72 | |
% 176.85/27.72 | Case 2:
% 176.85/27.72 | |
% 176.85/27.72 | | (28) all_58_2 = e2
% 176.85/27.72 | | (29) all_58_1 = e1
% 176.85/27.72 | |
% 176.85/27.72 | | REF_CLOSE: (4), (5), (6), (7), (8), (13), (14), (15), (16), (17), (18),
% 176.85/27.72 | | (22), (28), (29) are inconsistent by sub-proof #67.
% 176.85/27.72 | |
% 176.85/27.72 | End of split
% 176.85/27.72 |
% 176.85/27.72 End of proof
% 176.85/27.72
% 176.85/27.72 Sub-proof #67 shows that the following formulas are inconsistent:
% 176.85/27.72 ----------------------------------------------------------------
% 176.85/27.72 (1) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 176.85/27.72 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 176.85/27.72 (2) op(all_61_9, e2) = all_65_25
% 176.85/27.72 (3) ~ (all_61_8 = e2)
% 176.85/27.72 (4) op(e1, e2) = all_61_6
% 176.85/27.72 (5) op(e2, all_61_6) = all_65_25
% 176.85/27.72 (6) op(e2, all_52_1) = unit
% 176.85/27.72 (7) all_58_2 = all_52_2
% 176.85/27.72 (8) all_58_1 = all_52_1
% 176.85/27.72 (9) all_58_1 = e1
% 176.85/27.72 (10) op(e2, all_61_9) = all_61_8
% 176.85/27.72 (11) op(e1, all_52_2) = unit
% 176.85/27.72 (12) op(e2, e1) = all_61_9
% 176.85/27.72 (13) all_58_2 = e2
% 176.85/27.72 (14) op(unit, e2) = e2
% 176.85/27.72
% 176.85/27.72 Begin of proof
% 176.85/27.72 |
% 176.85/27.72 | COMBINE_EQS: (8), (9) imply:
% 176.85/27.72 | (15) all_52_1 = e1
% 176.85/27.72 |
% 176.85/27.72 | SIMP: (15) implies:
% 176.85/27.72 | (16) all_52_1 = e1
% 176.85/27.72 |
% 176.85/27.72 | COMBINE_EQS: (7), (13) imply:
% 176.85/27.72 | (17) all_52_2 = e2
% 176.85/27.72 |
% 176.85/27.72 | REF_CLOSE: (1), (2), (3), (4), (5), (6), (10), (11), (12), (14), (16), (17)
% 176.85/27.72 | are inconsistent by sub-proof #71.
% 176.85/27.72 |
% 176.85/27.72 End of proof
% 176.85/27.72
% 176.85/27.72 Sub-proof #68 shows that the following formulas are inconsistent:
% 176.85/27.72 ----------------------------------------------------------------
% 176.85/27.72 (1) op(all_61_13, e0) = all_61_13
% 176.85/27.72 (2) ~ (all_58_1 = e3) | all_58_0 = e2
% 176.85/27.72 (3) op(e3, all_52_0) = unit
% 176.85/27.72 (4) all_58_0 = all_52_0
% 176.85/27.72 (5) all_56_1 = e3 | all_56_1 = e2 | all_56_1 = e1 | all_56_1 = e0
% 176.85/27.72 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 176.85/27.72 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 176.85/27.72 (7) ~ (e2 = e1)
% 176.85/27.72 (8) ~ (all_58_3 = e2) | all_58_1 = e0
% 176.85/27.72 (9) op(e2, e2) = e3
% 176.85/27.72 (10) all_56_1 = all_52_1
% 176.85/27.72 (11) all_58_3 = all_52_3
% 176.85/27.72 (12) op(e2, all_52_1) = unit
% 176.85/27.72 (13) ~ (all_58_1 = e0) | all_58_3 = e2
% 176.85/27.72 (14) op(e2, e0) = all_61_13
% 176.85/27.72 (15) all_58_1 = all_52_1
% 176.85/27.72 (16) ~ (all_58_1 = e1)
% 176.85/27.72 (17) op(unit, e0) = e0
% 176.85/27.72 (18) ~ (all_61_13 = e0)
% 176.85/27.72 (19) op(e3, e2) = all_6_1
% 176.85/27.72 (20) ~ (unit = e3)
% 176.85/27.72 (21) op(all_6_1, e2) = e1
% 176.85/27.72 (22) op(unit, e2) = e2
% 176.85/27.72
% 176.85/27.72 Begin of proof
% 176.85/27.72 |
% 176.85/27.72 | REDUCE: (15), (16) imply:
% 176.85/27.72 | (23) ~ (all_52_1 = e1)
% 176.85/27.72 |
% 176.85/27.72 | BETA: splitting (8) gives:
% 176.85/27.72 |
% 176.85/27.72 | Case 1:
% 176.85/27.72 | |
% 176.85/27.72 | | (24) ~ (all_58_3 = e2)
% 176.85/27.72 | |
% 176.85/27.72 | | REDUCE: (11), (24) imply:
% 176.85/27.72 | | (25) ~ (all_52_3 = e2)
% 176.85/27.72 | |
% 176.85/27.72 | | REF_CLOSE: (2), (3), (4), (5), (6), (7), (9), (10), (11), (12), (13), (15),
% 176.85/27.72 | | (19), (20), (21), (22), (23), (25) are inconsistent by sub-proof
% 176.85/27.72 | | #96.
% 176.85/27.72 | |
% 176.85/27.72 | Case 2:
% 176.85/27.72 | |
% 176.85/27.72 | | (26) all_58_1 = e0
% 176.85/27.72 | |
% 176.85/27.72 | | COMBINE_EQS: (15), (26) imply:
% 176.85/27.72 | | (27) all_52_1 = e0
% 176.85/27.72 | |
% 176.85/27.72 | | SIMP: (27) implies:
% 176.85/27.72 | | (28) all_52_1 = e0
% 176.85/27.72 | |
% 176.85/27.72 | | REDUCE: (12), (28) imply:
% 176.85/27.72 | | (29) op(e2, e0) = unit
% 176.85/27.72 | |
% 176.85/27.72 | | REF_CLOSE: (1), (6), (14), (17), (18), (29) are inconsistent by sub-proof
% 176.85/27.72 | | #88.
% 176.85/27.72 | |
% 176.85/27.72 | End of split
% 176.85/27.72 |
% 176.85/27.72 End of proof
% 176.85/27.72
% 176.85/27.72 Sub-proof #69 shows that the following formulas are inconsistent:
% 176.85/27.72 ----------------------------------------------------------------
% 176.85/27.72 (1) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 176.85/27.72 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 176.85/27.72 (2) ~ (all_6_1 = e2)
% 176.85/27.72 (3) all_63_4 = e3 | all_63_4 = e2 | all_63_4 = e1 | all_63_4 = e0
% 176.85/27.72 (4) ~ (all_6_1 = e1)
% 176.85/27.72 (5) all_63_4 = all_6_1
% 176.85/27.72 (6) op(e0, e3) = e1
% 176.85/27.72 (7) ~ (all_6_1 = e3)
% 176.85/27.72 (8) all_14_1 = all_6_1
% 176.85/27.72 (9) ~ (all_14_1 = e0) | ( ~ (all_14_0 = e1) & op(e0, e3) = all_14_0 &
% 176.85/27.72 $i(all_14_0))
% 176.85/27.72
% 176.85/27.72 Begin of proof
% 176.85/27.72 |
% 176.85/27.72 | BETA: splitting (9) gives:
% 176.85/27.72 |
% 176.85/27.72 | Case 1:
% 176.85/27.72 | |
% 176.85/27.72 | | (10) ~ (all_14_1 = e0)
% 176.85/27.72 | |
% 176.85/27.72 | | REDUCE: (8), (10) imply:
% 176.85/27.72 | | (11) ~ (all_6_1 = e0)
% 176.85/27.72 | |
% 176.85/27.72 | | REF_CLOSE: (2), (3), (4), (5), (7), (11) are inconsistent by sub-proof #93.
% 176.85/27.72 | |
% 176.85/27.72 | Case 2:
% 176.85/27.72 | |
% 176.85/27.72 | | (12) ~ (all_14_0 = e1) & op(e0, e3) = all_14_0 & $i(all_14_0)
% 176.85/27.72 | |
% 176.85/27.72 | | ALPHA: (12) implies:
% 176.85/27.72 | | (13) ~ (all_14_0 = e1)
% 176.85/27.72 | | (14) op(e0, e3) = all_14_0
% 176.85/27.72 | |
% 176.85/27.72 | | REF_CLOSE: (1), (6), (13), (14) are inconsistent by sub-proof #304.
% 176.85/27.72 | |
% 176.85/27.72 | End of split
% 176.85/27.72 |
% 176.85/27.72 End of proof
% 176.85/27.72
% 176.85/27.72 Sub-proof #70 shows that the following formulas are inconsistent:
% 176.85/27.72 ----------------------------------------------------------------
% 176.85/27.72 (1) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 176.85/27.72 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 176.85/27.72 (2) op(all_61_9, e2) = all_65_25
% 176.85/27.72 (3) ~ (all_61_8 = e2)
% 176.85/27.72 (4) op(e1, e2) = all_61_6
% 176.85/27.72 (5) op(e2, all_61_6) = all_65_25
% 176.85/27.72 (6) op(e2, all_52_1) = unit
% 176.85/27.72 (7) all_58_2 = all_52_2
% 176.85/27.72 (8) all_58_1 = all_52_1
% 176.85/27.72 (9) all_58_1 = e1
% 176.85/27.72 (10) op(e2, all_61_9) = all_61_8
% 176.85/27.72 (11) op(e1, all_52_2) = unit
% 176.85/27.72 (12) op(e2, e1) = all_61_9
% 176.85/27.72 (13) all_58_2 = e2
% 176.85/27.72 (14) op(unit, e2) = e2
% 176.85/27.72
% 176.85/27.72 Begin of proof
% 176.85/27.72 |
% 176.85/27.72 | COMBINE_EQS: (8), (9) imply:
% 176.85/27.72 | (15) all_52_1 = e1
% 176.85/27.72 |
% 176.85/27.72 | SIMP: (15) implies:
% 176.85/27.72 | (16) all_52_1 = e1
% 176.85/27.72 |
% 176.85/27.72 | COMBINE_EQS: (7), (13) imply:
% 176.85/27.72 | (17) all_52_2 = e2
% 176.85/27.72 |
% 176.85/27.72 | SIMP: (17) implies:
% 176.85/27.72 | (18) all_52_2 = e2
% 176.85/27.72 |
% 176.85/27.72 | REF_CLOSE: (1), (2), (3), (4), (5), (6), (10), (11), (12), (14), (16), (18)
% 176.85/27.72 | are inconsistent by sub-proof #71.
% 176.85/27.72 |
% 176.85/27.72 End of proof
% 176.85/27.72
% 176.85/27.72 Sub-proof #71 shows that the following formulas are inconsistent:
% 176.85/27.72 ----------------------------------------------------------------
% 176.85/27.72 (1) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 176.85/27.72 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 176.85/27.72 (2) op(all_61_9, e2) = all_65_25
% 176.85/27.72 (3) ~ (all_61_8 = e2)
% 176.85/27.72 (4) op(e1, e2) = all_61_6
% 176.85/27.72 (5) op(e2, all_61_6) = all_65_25
% 176.85/27.72 (6) all_52_2 = e2
% 176.85/27.72 (7) op(e2, all_52_1) = unit
% 176.85/27.72 (8) all_52_1 = e1
% 176.85/27.72 (9) op(e2, all_61_9) = all_61_8
% 176.85/27.72 (10) op(e1, all_52_2) = unit
% 176.85/27.72 (11) op(e2, e1) = all_61_9
% 176.85/27.72 (12) op(unit, e2) = e2
% 176.85/27.72
% 176.85/27.72 Begin of proof
% 176.85/27.72 |
% 176.85/27.72 | REDUCE: (7), (8) imply:
% 176.85/27.72 | (13) op(e2, e1) = unit
% 176.85/27.72 |
% 176.85/27.72 | REDUCE: (6), (10) imply:
% 176.85/27.72 | (14) op(e1, e2) = unit
% 176.85/27.72 |
% 176.85/27.72 | REF_CLOSE: (1), (2), (3), (4), (5), (9), (11), (12), (13), (14) are
% 176.85/27.72 | inconsistent by sub-proof #72.
% 176.85/27.72 |
% 176.85/27.72 End of proof
% 176.85/27.72
% 176.85/27.72 Sub-proof #72 shows that the following formulas are inconsistent:
% 176.85/27.72 ----------------------------------------------------------------
% 176.85/27.72 (1) op(e2, e1) = unit
% 176.85/27.72 (2) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 176.85/27.72 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 176.85/27.72 (3) op(all_61_9, e2) = all_65_25
% 176.85/27.72 (4) ~ (all_61_8 = e2)
% 176.85/27.72 (5) op(e1, e2) = all_61_6
% 176.85/27.72 (6) op(e2, all_61_6) = all_65_25
% 176.85/27.72 (7) op(e1, e2) = unit
% 176.85/27.72 (8) op(e2, all_61_9) = all_61_8
% 176.85/27.72 (9) op(e2, e1) = all_61_9
% 176.85/27.72 (10) op(unit, e2) = e2
% 176.85/27.72
% 176.85/27.72 Begin of proof
% 176.85/27.72 |
% 176.85/27.72 | GROUND_INST: instantiating (2) with all_61_6, unit, e2, e1, simplifying with
% 176.85/27.72 | (5), (7) gives:
% 176.85/27.72 | (11) all_61_6 = unit
% 176.85/27.72 |
% 176.85/27.72 | GROUND_INST: instantiating (2) with all_61_9, unit, e1, e2, simplifying with
% 176.85/27.72 | (1), (9) gives:
% 176.85/27.72 | (12) all_61_9 = unit
% 176.85/27.72 |
% 176.85/27.72 | REDUCE: (3), (12) imply:
% 176.85/27.72 | (13) op(unit, e2) = all_65_25
% 176.85/27.72 |
% 176.85/27.72 | REDUCE: (6), (11) imply:
% 176.85/27.72 | (14) op(e2, unit) = all_65_25
% 176.85/27.72 |
% 176.85/27.72 | REDUCE: (8), (12) imply:
% 176.85/27.72 | (15) op(e2, unit) = all_61_8
% 176.85/27.72 |
% 176.85/27.72 | GROUND_INST: instantiating (2) with all_61_8, all_65_25, unit, e2, simplifying
% 176.85/27.72 | with (14), (15) gives:
% 176.85/27.72 | (16) all_65_25 = all_61_8
% 176.85/27.72 |
% 176.85/27.72 | GROUND_INST: instantiating (2) with e2, all_65_25, e2, unit, simplifying with
% 176.85/27.72 | (10), (13) gives:
% 176.85/27.72 | (17) all_65_25 = e2
% 176.85/27.72 |
% 176.85/27.72 | COMBINE_EQS: (16), (17) imply:
% 176.85/27.72 | (18) all_61_8 = e2
% 176.85/27.72 |
% 176.85/27.72 | SIMP: (18) implies:
% 176.85/27.72 | (19) all_61_8 = e2
% 176.85/27.72 |
% 176.85/27.72 | REDUCE: (4), (19) imply:
% 176.85/27.72 | (20) $false
% 176.85/27.72 |
% 176.85/27.72 | CLOSE: (20) is inconsistent.
% 176.85/27.72 |
% 176.85/27.72 End of proof
% 176.85/27.72
% 176.85/27.72 Sub-proof #73 shows that the following formulas are inconsistent:
% 176.85/27.72 ----------------------------------------------------------------
% 176.85/27.72 (1) op(e2, e0) = all_20_1
% 176.85/27.72 (2) op(all_6_1, e2) = e0
% 176.85/27.72 (3) ~ (all_58_1 = e3) | all_58_0 = e2
% 176.85/27.72 (4) op(e3, all_52_0) = unit
% 176.85/27.72 (5) all_58_0 = all_52_0
% 176.85/27.72 (6) op(all_20_1, e0) = e3
% 176.85/27.72 (7) all_56_1 = e3 | all_56_1 = e2 | all_56_1 = e1 | all_56_1 = e0
% 176.85/27.72 (8) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 176.85/27.72 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 176.85/27.72 (9) ~ (all_58_0 = e2) | all_58_1 = e3
% 176.85/27.72 (10) ~ (all_58_2 = e2) | all_58_1 = e1
% 176.85/27.72 (11) op(e2, e2) = e3
% 176.85/27.72 (12) all_56_1 = all_52_1
% 176.85/27.72 (13) op(e2, all_52_1) = unit
% 176.85/27.72 (14) all_58_2 = all_52_2
% 176.85/27.72 (15) ~ (all_58_1 = e0) | all_58_3 = e2
% 176.85/27.72 (16) ~ (e3 = e0)
% 176.85/27.72 (17) all_58_1 = all_52_1
% 176.85/27.72 (18) ~ (e2 = e0)
% 176.85/27.72 (19) ~ (all_52_1 = e1)
% 176.85/27.72 (20) op(unit, e0) = e0
% 176.85/27.72 (21) op(e3, e2) = all_6_1
% 176.85/27.72 (22) ~ (all_58_1 = e1) | all_58_2 = e2
% 176.85/27.72 (23) ~ (unit = e3)
% 176.85/27.72 (24) op(unit, e2) = e2
% 176.85/27.72
% 176.85/27.72 Begin of proof
% 176.85/27.72 |
% 176.85/27.72 | BETA: splitting (10) gives:
% 176.85/27.72 |
% 176.85/27.72 | Case 1:
% 176.85/27.72 | |
% 176.85/27.72 | | (25) ~ (all_58_2 = e2)
% 176.85/27.72 | |
% 176.85/27.72 | | REDUCE: (14), (25) imply:
% 176.85/27.72 | | (26) ~ (all_52_2 = e2)
% 176.85/27.72 | |
% 176.85/27.72 | | BETA: splitting (15) gives:
% 176.85/27.72 | |
% 176.85/27.72 | | Case 1:
% 176.85/27.72 | | |
% 176.85/27.72 | | | (27) ~ (all_58_1 = e0)
% 176.85/27.72 | | |
% 176.85/27.72 | | | REDUCE: (17), (27) imply:
% 176.85/27.72 | | | (28) ~ (all_52_1 = e0)
% 176.85/27.72 | | |
% 176.85/27.72 | | | REF_CLOSE: (2), (3), (4), (5), (7), (8), (9), (11), (12), (13), (14),
% 176.85/27.72 | | | (17), (18), (21), (22), (23), (24), (26), (28) are inconsistent
% 176.85/27.72 | | | by sub-proof #75.
% 176.85/27.72 | | |
% 176.85/27.72 | | Case 2:
% 176.85/27.72 | | |
% 176.85/27.72 | | | (29) all_58_1 = e0
% 176.85/27.72 | | |
% 176.85/27.72 | | | REF_CLOSE: (1), (6), (8), (13), (16), (17), (20), (29) are inconsistent by
% 176.85/27.72 | | | sub-proof #74.
% 176.85/27.72 | | |
% 176.85/27.72 | | End of split
% 176.85/27.72 | |
% 176.85/27.72 | Case 2:
% 176.85/27.72 | |
% 176.85/27.72 | | (30) all_58_1 = e1
% 176.85/27.72 | |
% 176.85/27.72 | | REF_CLOSE: (17), (19), (30) are inconsistent by sub-proof #424.
% 176.85/27.72 | |
% 176.85/27.72 | End of split
% 176.85/27.72 |
% 176.85/27.72 End of proof
% 176.85/27.72
% 176.85/27.72 Sub-proof #74 shows that the following formulas are inconsistent:
% 176.85/27.72 ----------------------------------------------------------------
% 176.85/27.72 (1) op(e2, e0) = all_20_1
% 176.85/27.72 (2) op(all_20_1, e0) = e3
% 176.85/27.72 (3) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 176.85/27.72 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 176.85/27.72 (4) all_58_1 = e0
% 176.85/27.72 (5) op(e2, all_52_1) = unit
% 176.85/27.72 (6) ~ (e3 = e0)
% 176.85/27.72 (7) all_58_1 = all_52_1
% 176.85/27.72 (8) op(unit, e0) = e0
% 176.85/27.72
% 176.85/27.72 Begin of proof
% 176.85/27.72 |
% 176.85/27.72 | COMBINE_EQS: (4), (7) imply:
% 176.85/27.72 | (9) all_52_1 = e0
% 176.85/27.72 |
% 176.85/27.72 | SIMP: (9) implies:
% 176.85/27.72 | (10) all_52_1 = e0
% 176.85/27.72 |
% 176.85/27.72 | REDUCE: (5), (10) imply:
% 176.85/27.72 | (11) op(e2, e0) = unit
% 176.85/27.72 |
% 176.85/27.72 | REF_CLOSE: (1), (2), (3), (6), (8), (11) are inconsistent by sub-proof #79.
% 176.85/27.72 |
% 176.85/27.72 End of proof
% 176.85/27.72
% 176.85/27.72 Sub-proof #75 shows that the following formulas are inconsistent:
% 176.85/27.72 ----------------------------------------------------------------
% 176.85/27.72 (1) op(all_6_1, e2) = e0
% 176.85/27.72 (2) ~ (all_58_1 = e3) | all_58_0 = e2
% 176.85/27.72 (3) op(e3, all_52_0) = unit
% 176.85/27.72 (4) all_58_0 = all_52_0
% 176.85/27.72 (5) all_56_1 = e3 | all_56_1 = e2 | all_56_1 = e1 | all_56_1 = e0
% 176.85/27.72 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 176.85/27.72 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 176.85/27.72 (7) ~ (all_58_0 = e2) | all_58_1 = e3
% 176.85/27.72 (8) op(e2, e2) = e3
% 176.85/27.72 (9) all_56_1 = all_52_1
% 176.85/27.72 (10) ~ (all_52_2 = e2)
% 176.85/27.72 (11) op(e2, all_52_1) = unit
% 176.85/27.72 (12) all_58_2 = all_52_2
% 176.85/27.72 (13) all_58_1 = all_52_1
% 176.85/27.72 (14) ~ (e2 = e0)
% 176.85/27.72 (15) op(e3, e2) = all_6_1
% 176.85/27.72 (16) ~ (all_58_1 = e1) | all_58_2 = e2
% 176.85/27.72 (17) ~ (unit = e3)
% 176.85/27.72 (18) ~ (all_52_1 = e0)
% 176.85/27.72 (19) op(unit, e2) = e2
% 176.85/27.72
% 176.85/27.72 Begin of proof
% 176.85/27.72 |
% 176.85/27.72 | BETA: splitting (16) gives:
% 176.85/27.72 |
% 176.85/27.72 | Case 1:
% 176.85/27.72 | |
% 176.85/27.72 | | (20) ~ (all_58_1 = e1)
% 176.85/27.72 | |
% 176.85/27.72 | | REDUCE: (13), (20) imply:
% 176.85/27.72 | | (21) ~ (all_52_1 = e1)
% 176.85/27.72 | |
% 176.85/27.72 | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (11), (13), (14),
% 176.85/27.72 | | (15), (17), (18), (19), (21) are inconsistent by sub-proof #76.
% 176.85/27.72 | |
% 176.85/27.72 | Case 2:
% 176.85/27.72 | |
% 176.85/27.72 | | (22) all_58_2 = e2
% 176.85/27.72 | |
% 176.85/27.72 | | REF_CLOSE: (10), (12), (22) are inconsistent by sub-proof #433.
% 176.85/27.72 | |
% 176.85/27.72 | End of split
% 176.85/27.72 |
% 176.85/27.72 End of proof
% 176.85/27.72
% 176.85/27.72 Sub-proof #76 shows that the following formulas are inconsistent:
% 176.85/27.72 ----------------------------------------------------------------
% 176.85/27.72 (1) op(all_6_1, e2) = e0
% 176.85/27.72 (2) ~ (all_58_1 = e3) | all_58_0 = e2
% 176.85/27.72 (3) op(e3, all_52_0) = unit
% 176.85/27.72 (4) all_58_0 = all_52_0
% 176.85/27.72 (5) all_56_1 = e3 | all_56_1 = e2 | all_56_1 = e1 | all_56_1 = e0
% 176.85/27.72 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 176.85/27.72 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 176.85/27.72 (7) ~ (all_58_0 = e2) | all_58_1 = e3
% 176.85/27.72 (8) op(e2, e2) = e3
% 176.85/27.72 (9) all_56_1 = all_52_1
% 176.85/27.72 (10) op(e2, all_52_1) = unit
% 176.85/27.72 (11) all_58_1 = all_52_1
% 176.85/27.72 (12) ~ (e2 = e0)
% 176.85/27.72 (13) ~ (all_52_1 = e1)
% 176.85/27.72 (14) op(e3, e2) = all_6_1
% 176.85/27.72 (15) ~ (unit = e3)
% 176.85/27.72 (16) ~ (all_52_1 = e0)
% 176.85/27.72 (17) op(unit, e2) = e2
% 176.85/27.72
% 176.85/27.72 Begin of proof
% 176.85/27.72 |
% 176.85/27.72 | BETA: splitting (7) gives:
% 176.85/27.72 |
% 176.85/27.72 | Case 1:
% 176.85/27.72 | |
% 176.85/27.72 | | (18) ~ (all_58_0 = e2)
% 176.85/27.72 | |
% 176.85/27.72 | | REDUCE: (4), (18) imply:
% 176.85/27.72 | | (19) ~ (all_52_0 = e2)
% 176.85/27.72 | |
% 176.85/27.72 | | REF_CLOSE: (2), (4), (5), (6), (8), (9), (10), (11), (13), (15), (16), (19)
% 176.85/27.72 | | are inconsistent by sub-proof #77.
% 176.85/27.72 | |
% 176.85/27.72 | Case 2:
% 176.85/27.72 | |
% 176.85/27.72 | | (20) all_58_0 = e2
% 176.85/27.72 | |
% 176.85/27.72 | | COMBINE_EQS: (4), (20) imply:
% 176.85/27.72 | | (21) all_52_0 = e2
% 176.85/27.72 | |
% 176.85/27.72 | | REDUCE: (3), (21) imply:
% 176.85/27.72 | | (22) op(e3, e2) = unit
% 176.85/27.72 | |
% 176.85/27.72 | | REF_CLOSE: (1), (6), (12), (14), (17), (22) are inconsistent by sub-proof
% 176.85/27.72 | | #92.
% 176.85/27.72 | |
% 176.85/27.72 | End of split
% 176.85/27.72 |
% 176.85/27.72 End of proof
% 176.85/27.72
% 176.85/27.72 Sub-proof #77 shows that the following formulas are inconsistent:
% 176.85/27.72 ----------------------------------------------------------------
% 176.85/27.72 (1) ~ (all_58_1 = e3) | all_58_0 = e2
% 176.85/27.72 (2) all_58_0 = all_52_0
% 176.85/27.72 (3) all_56_1 = e3 | all_56_1 = e2 | all_56_1 = e1 | all_56_1 = e0
% 176.85/27.72 (4) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 176.85/27.72 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 176.85/27.72 (5) ~ (all_52_0 = e2)
% 176.85/27.72 (6) op(e2, e2) = e3
% 176.85/27.72 (7) all_56_1 = all_52_1
% 176.85/27.72 (8) op(e2, all_52_1) = unit
% 176.85/27.72 (9) all_58_1 = all_52_1
% 176.85/27.72 (10) ~ (all_52_1 = e1)
% 176.85/27.72 (11) ~ (unit = e3)
% 176.85/27.72 (12) ~ (all_52_1 = e0)
% 176.85/27.72
% 176.85/27.72 Begin of proof
% 176.85/27.72 |
% 176.85/27.72 | BETA: splitting (1) gives:
% 176.85/27.72 |
% 176.85/27.72 | Case 1:
% 176.85/27.72 | |
% 176.85/27.72 | | (13) ~ (all_58_1 = e3)
% 176.85/27.72 | |
% 176.85/27.72 | | REDUCE: (9), (13) imply:
% 176.85/27.72 | | (14) ~ (all_52_1 = e3)
% 176.85/27.72 | |
% 176.85/27.72 | | REF_CLOSE: (3), (4), (6), (7), (8), (10), (11), (12), (14) are inconsistent
% 176.85/27.72 | | by sub-proof #98.
% 176.85/27.72 | |
% 176.85/27.72 | Case 2:
% 176.85/27.72 | |
% 176.85/27.72 | | (15) all_58_0 = e2
% 176.85/27.72 | |
% 176.85/27.72 | | REF_CLOSE: (2), (5), (15) are inconsistent by sub-proof #356.
% 176.85/27.72 | |
% 176.85/27.72 | End of split
% 176.85/27.72 |
% 176.85/27.72 End of proof
% 176.85/27.72
% 176.85/27.72 Sub-proof #78 shows that the following formulas are inconsistent:
% 176.85/27.72 ----------------------------------------------------------------
% 176.85/27.72 (1) op(e2, e0) = all_20_1
% 176.85/27.72 (2) ~ (all_58_1 = e3) | all_58_0 = e2
% 176.85/27.72 (3) op(e3, all_52_0) = unit
% 176.85/27.72 (4) all_58_0 = all_52_0
% 176.85/27.72 (5) op(all_20_1, e0) = e3
% 176.85/27.72 (6) all_56_1 = e3 | all_56_1 = e2 | all_56_1 = e1 | all_56_1 = e0
% 176.85/27.72 (7) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 176.85/27.72 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 176.85/27.72 (8) ~ (e2 = e1)
% 176.85/27.72 (9) op(e2, e2) = e3
% 176.85/27.72 (10) all_56_1 = all_52_1
% 176.85/27.72 (11) op(e2, all_52_1) = unit
% 176.85/27.72 (12) ~ (all_58_1 = e0) | all_58_3 = e2
% 176.85/27.72 (13) ~ (e3 = e0)
% 176.85/27.72 (14) all_58_1 = all_52_1
% 176.85/27.72 (15) ~ (all_52_1 = e1)
% 176.85/27.72 (16) op(unit, e0) = e0
% 176.85/27.72 (17) op(e3, e2) = all_6_1
% 176.85/27.72 (18) ~ (unit = e3)
% 176.85/27.72 (19) op(all_6_1, e2) = e1
% 176.85/27.72 (20) op(unit, e2) = e2
% 176.85/27.72
% 176.85/27.72 Begin of proof
% 176.85/27.72 |
% 176.85/27.72 | BETA: splitting (12) gives:
% 176.85/27.72 |
% 176.85/27.72 | Case 1:
% 176.85/27.72 | |
% 176.85/27.72 | | (21) ~ (all_58_1 = e0)
% 176.85/27.72 | |
% 176.85/27.72 | | REDUCE: (14), (21) imply:
% 176.85/27.72 | | (22) ~ (all_52_1 = e0)
% 176.85/27.72 | |
% 176.85/27.72 | | REF_CLOSE: (2), (3), (4), (6), (7), (8), (9), (10), (11), (14), (15), (17),
% 176.85/27.72 | | (18), (19), (20), (22) are inconsistent by sub-proof #97.
% 176.85/27.72 | |
% 176.85/27.72 | Case 2:
% 176.85/27.72 | |
% 176.85/27.72 | | (23) all_58_1 = e0
% 176.85/27.72 | |
% 176.85/27.72 | | COMBINE_EQS: (14), (23) imply:
% 176.85/27.72 | | (24) all_52_1 = e0
% 176.85/27.72 | |
% 176.85/27.72 | | SIMP: (24) implies:
% 176.85/27.72 | | (25) all_52_1 = e0
% 176.85/27.72 | |
% 176.85/27.72 | | REDUCE: (11), (25) imply:
% 176.85/27.72 | | (26) op(e2, e0) = unit
% 176.85/27.72 | |
% 176.85/27.72 | | REF_CLOSE: (1), (5), (7), (13), (16), (26) are inconsistent by sub-proof
% 176.85/27.72 | | #79.
% 176.85/27.72 | |
% 176.85/27.72 | End of split
% 176.85/27.72 |
% 176.85/27.72 End of proof
% 176.85/27.72
% 176.85/27.72 Sub-proof #79 shows that the following formulas are inconsistent:
% 176.85/27.72 ----------------------------------------------------------------
% 176.85/27.72 (1) op(e2, e0) = all_20_1
% 176.85/27.72 (2) op(all_20_1, e0) = e3
% 176.85/27.72 (3) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 176.85/27.72 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 176.85/27.72 (4) ~ (e3 = e0)
% 176.85/27.72 (5) op(unit, e0) = e0
% 176.85/27.72 (6) op(e2, e0) = unit
% 176.85/27.72
% 176.85/27.72 Begin of proof
% 176.85/27.72 |
% 176.85/27.72 | GROUND_INST: instantiating (3) with all_20_1, unit, e0, e2, simplifying with
% 176.85/27.72 | (1), (6) gives:
% 176.85/27.72 | (7) all_20_1 = unit
% 176.85/27.72 |
% 176.85/27.72 | REDUCE: (2), (7) imply:
% 176.85/27.72 | (8) op(unit, e0) = e3
% 176.85/27.72 |
% 176.85/27.72 | GROUND_INST: instantiating (3) with e0, e3, e0, unit, simplifying with (5),
% 176.85/27.72 | (8) gives:
% 176.85/27.72 | (9) e3 = e0
% 176.85/27.72 |
% 176.85/27.72 | REDUCE: (4), (9) imply:
% 176.85/27.72 | (10) $false
% 176.85/27.72 |
% 176.85/27.72 | CLOSE: (10) is inconsistent.
% 176.85/27.72 |
% 176.85/27.72 End of proof
% 176.85/27.72
% 176.85/27.72 Sub-proof #80 shows that the following formulas are inconsistent:
% 176.85/27.72 ----------------------------------------------------------------
% 176.85/27.72 (1) op(e0, e0) = e3
% 176.85/27.72 (2) ~ (all_52_0 = all_52_3)
% 176.85/27.73 (3) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 176.85/27.73 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 176.85/27.73 (4) all_52_0 = e1
% 176.85/27.73 (5) all_52_2 = e3
% 176.85/27.73 (6) ~ (all_58_3 = e2) | all_58_1 = e0
% 176.85/27.73 (7) all_56_3 = e3 | all_56_3 = e2 | all_56_3 = e1 | all_56_3 = e0
% 176.85/27.73 (8) all_58_3 = all_52_3
% 176.85/27.73 (9) op(e2, all_52_1) = unit
% 176.85/27.73 (10) ~ (all_58_1 = e0) | all_58_3 = e2
% 176.85/27.73 (11) op(e2, e0) = all_61_13
% 176.85/27.73 (12) all_56_3 = all_52_3
% 176.85/27.73 (13) all_58_1 = all_52_1
% 176.85/27.73 (14) op(all_61_13, e0) = all_6_1
% 176.85/27.73 (15) op(unit, e0) = e0
% 176.85/27.73 (16) ~ (unit = e3)
% 176.85/27.73 (17) ~ (all_6_1 = e0)
% 176.85/27.73 (18) op(e0, all_52_3) = unit
% 176.85/27.73 (19) ~ (all_52_2 = all_52_3)
% 176.85/27.73
% 176.85/27.73 Begin of proof
% 176.85/27.73 |
% 176.85/27.73 | REDUCE: (2), (4) imply:
% 176.85/27.73 | (20) ~ (all_52_3 = e1)
% 176.85/27.73 |
% 176.85/27.73 | SIMP: (20) implies:
% 176.85/27.73 | (21) ~ (all_52_3 = e1)
% 176.85/27.73 |
% 176.85/27.73 | REDUCE: (5), (19) imply:
% 176.85/27.73 | (22) ~ (all_52_3 = e3)
% 176.85/27.73 |
% 176.85/27.73 | SIMP: (22) implies:
% 176.85/27.73 | (23) ~ (all_52_3 = e3)
% 176.85/27.73 |
% 176.85/27.73 | REF_CLOSE: (1), (3), (6), (7), (8), (9), (10), (11), (12), (13), (14), (15),
% 176.85/27.73 | (16), (17), (18), (21), (23) are inconsistent by sub-proof #81.
% 176.85/27.73 |
% 176.85/27.73 End of proof
% 176.85/27.73
% 176.85/27.73 Sub-proof #81 shows that the following formulas are inconsistent:
% 176.85/27.73 ----------------------------------------------------------------
% 176.85/27.73 (1) op(e0, e0) = e3
% 176.85/27.73 (2) ~ (all_52_3 = e3)
% 176.85/27.73 (3) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 176.85/27.73 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 176.85/27.73 (4) ~ (all_58_3 = e2) | all_58_1 = e0
% 176.85/27.73 (5) all_56_3 = e3 | all_56_3 = e2 | all_56_3 = e1 | all_56_3 = e0
% 176.85/27.73 (6) all_58_3 = all_52_3
% 176.85/27.73 (7) op(e2, all_52_1) = unit
% 176.85/27.73 (8) ~ (all_58_1 = e0) | all_58_3 = e2
% 176.85/27.73 (9) op(e2, e0) = all_61_13
% 176.85/27.73 (10) ~ (all_52_3 = e1)
% 176.85/27.73 (11) all_56_3 = all_52_3
% 176.85/27.73 (12) all_58_1 = all_52_1
% 176.85/27.73 (13) op(all_61_13, e0) = all_6_1
% 176.85/27.73 (14) op(unit, e0) = e0
% 176.85/27.73 (15) ~ (unit = e3)
% 176.85/27.73 (16) ~ (all_6_1 = e0)
% 176.85/27.73 (17) op(e0, all_52_3) = unit
% 176.85/27.73
% 176.85/27.73 Begin of proof
% 176.85/27.73 |
% 176.85/27.73 | BETA: splitting (8) gives:
% 176.85/27.73 |
% 176.85/27.73 | Case 1:
% 176.85/27.73 | |
% 176.85/27.73 | | (18) ~ (all_58_1 = e0)
% 176.85/27.73 | |
% 176.85/27.73 | | REDUCE: (12), (18) imply:
% 176.85/27.73 | | (19) ~ (all_52_1 = e0)
% 176.85/27.73 | |
% 176.85/27.73 | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (10), (11), (12), (15), (17), (19)
% 176.85/27.73 | | are inconsistent by sub-proof #438.
% 176.85/27.73 | |
% 176.85/27.73 | Case 2:
% 176.85/27.73 | |
% 176.85/27.73 | | (20) all_58_1 = e0
% 176.85/27.73 | |
% 176.85/27.73 | | COMBINE_EQS: (12), (20) imply:
% 176.85/27.73 | | (21) all_52_1 = e0
% 176.85/27.73 | |
% 176.85/27.73 | | SIMP: (21) implies:
% 176.85/27.73 | | (22) all_52_1 = e0
% 176.85/27.73 | |
% 176.85/27.73 | | REDUCE: (7), (22) imply:
% 176.85/27.73 | | (23) op(e2, e0) = unit
% 176.85/27.73 | |
% 176.85/27.73 | | REF_CLOSE: (3), (9), (13), (14), (16), (23) are inconsistent by sub-proof
% 176.85/27.73 | | #82.
% 176.85/27.73 | |
% 176.85/27.73 | End of split
% 176.85/27.73 |
% 176.85/27.73 End of proof
% 176.85/27.73
% 176.85/27.73 Sub-proof #82 shows that the following formulas are inconsistent:
% 176.85/27.73 ----------------------------------------------------------------
% 176.85/27.73 (1) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 176.85/27.73 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 176.85/27.73 (2) op(e2, e0) = all_61_13
% 176.85/27.73 (3) op(all_61_13, e0) = all_6_1
% 176.85/27.73 (4) op(unit, e0) = e0
% 176.85/27.73 (5) op(e2, e0) = unit
% 176.85/27.73 (6) ~ (all_6_1 = e0)
% 176.85/27.73
% 176.85/27.73 Begin of proof
% 176.85/27.73 |
% 176.85/27.73 | GROUND_INST: instantiating (1) with all_61_13, unit, e0, e2, simplifying with
% 176.85/27.73 | (2), (5) gives:
% 176.85/27.73 | (7) all_61_13 = unit
% 176.85/27.73 |
% 176.85/27.73 | REDUCE: (3), (7) imply:
% 176.85/27.73 | (8) op(unit, e0) = all_6_1
% 176.85/27.73 |
% 176.85/27.73 | GROUND_INST: instantiating (1) with e0, all_6_1, e0, unit, simplifying with
% 176.85/27.73 | (4), (8) gives:
% 176.85/27.73 | (9) all_6_1 = e0
% 176.85/27.73 |
% 176.85/27.73 | REDUCE: (6), (9) imply:
% 176.85/27.73 | (10) $false
% 176.85/27.73 |
% 176.85/27.73 | CLOSE: (10) is inconsistent.
% 176.85/27.73 |
% 176.85/27.73 End of proof
% 176.85/27.73
% 176.85/27.73 Sub-proof #83 shows that the following formulas are inconsistent:
% 176.85/27.73 ----------------------------------------------------------------
% 176.85/27.73 (1) all_63_7 = all_61_13
% 176.85/27.73 (2) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 176.85/27.73 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 176.85/27.73 (3) all_63_7 = e3 | all_63_7 = e2 | all_63_7 = e1 | all_63_7 = e0
% 176.85/27.73 (4) op(e2, e1) = e2
% 176.85/27.73 (5) ~ (all_6_1 = e1) | ( ~ (all_6_0 = e0) & op(e1, e2) = all_6_0 &
% 176.85/27.73 $i(all_6_0))
% 176.85/27.73 (6) ~ (all_61_13 = all_42_1)
% 176.85/27.73 (7) all_6_1 = e1
% 176.85/27.73 (8) op(e1, e0) = all_42_1
% 176.85/27.73 (9) ~ (all_61_9 = all_61_13)
% 176.85/27.73 (10) ~ (all_61_13 = e1)
% 176.85/27.73 (11) ~ (all_61_13 = e3)
% 176.85/27.73 (12) op(e2, e1) = all_61_9
% 176.85/27.73 (13) op(e1, e0) = e0
% 176.85/27.73
% 176.85/27.73 Begin of proof
% 176.85/27.73 |
% 176.85/27.73 | BETA: splitting (5) gives:
% 176.85/27.73 |
% 176.85/27.73 | Case 1:
% 176.85/27.73 | |
% 176.85/27.73 | | (14) ~ (all_6_1 = e1)
% 176.85/27.73 | |
% 176.85/27.73 | | REDUCE: (7), (14) imply:
% 176.85/27.73 | | (15) $false
% 176.85/27.73 | |
% 176.85/27.73 | | CLOSE: (15) is inconsistent.
% 176.85/27.73 | |
% 176.85/27.73 | Case 2:
% 176.85/27.73 | |
% 176.85/27.73 | |
% 176.85/27.73 | | GROUND_INST: instantiating (2) with all_42_1, e0, e0, e1, simplifying with
% 176.85/27.73 | | (8), (13) gives:
% 176.85/27.73 | | (16) all_42_1 = e0
% 176.85/27.73 | |
% 176.85/27.73 | | REF_CLOSE: (1), (2), (3), (4), (6), (9), (10), (11), (12), (16) are
% 176.85/27.73 | | inconsistent by sub-proof #84.
% 176.85/27.73 | |
% 176.85/27.73 | End of split
% 176.85/27.73 |
% 176.85/27.73 End of proof
% 176.85/27.73
% 176.85/27.73 Sub-proof #84 shows that the following formulas are inconsistent:
% 176.85/27.73 ----------------------------------------------------------------
% 176.85/27.73 (1) all_63_7 = all_61_13
% 176.85/27.73 (2) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 176.85/27.73 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 176.85/27.73 (3) all_63_7 = e3 | all_63_7 = e2 | all_63_7 = e1 | all_63_7 = e0
% 176.85/27.73 (4) op(e2, e1) = e2
% 176.85/27.73 (5) ~ (all_61_13 = all_42_1)
% 176.85/27.73 (6) ~ (all_61_9 = all_61_13)
% 176.85/27.73 (7) all_42_1 = e0
% 176.85/27.73 (8) ~ (all_61_13 = e1)
% 176.85/27.73 (9) ~ (all_61_13 = e3)
% 176.85/27.73 (10) op(e2, e1) = all_61_9
% 176.85/27.73
% 176.85/27.73 Begin of proof
% 176.85/27.73 |
% 176.85/27.73 | GROUND_INST: instantiating (2) with all_61_9, e2, e1, e2, simplifying with
% 176.85/27.73 | (4), (10) gives:
% 176.85/27.73 | (11) all_61_9 = e2
% 176.85/27.73 |
% 176.85/27.73 | REDUCE: (6), (11) imply:
% 176.85/27.73 | (12) ~ (all_61_13 = e2)
% 176.85/27.73 |
% 176.85/27.73 | SIMP: (12) implies:
% 176.85/27.73 | (13) ~ (all_61_13 = e2)
% 176.85/27.73 |
% 176.85/27.73 | REDUCE: (5), (7) imply:
% 176.85/27.73 | (14) ~ (all_61_13 = e0)
% 176.85/27.73 |
% 176.85/27.73 | REF_CLOSE: (1), (3), (8), (9), (13), (14) are inconsistent by sub-proof #473.
% 176.85/27.73 |
% 176.85/27.73 End of proof
% 176.85/27.73
% 176.85/27.73 Sub-proof #85 shows that the following formulas are inconsistent:
% 176.85/27.73 ----------------------------------------------------------------
% 176.85/27.73 (1) op(all_61_13, e0) = all_61_13
% 176.85/27.73 (2) ~ (all_52_0 = all_52_1)
% 176.85/27.73 (3) all_56_1 = e3 | all_56_1 = e2 | all_56_1 = e1 | all_56_1 = e0
% 176.85/27.73 (4) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 176.85/27.73 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 176.85/27.73 (5) all_52_0 = e1
% 176.85/27.73 (6) all_52_2 = e3
% 176.85/27.73 (7) ~ (all_52_1 = all_52_2)
% 176.85/27.73 (8) op(e2, e2) = e3
% 176.85/27.73 (9) all_56_1 = all_52_1
% 176.85/27.73 (10) op(e2, all_52_1) = unit
% 176.85/27.73 (11) ~ (all_58_1 = e0) | all_58_3 = e2
% 176.85/27.73 (12) op(e2, e0) = all_61_13
% 176.85/27.73 (13) all_58_1 = all_52_1
% 176.85/27.73 (14) op(unit, e0) = e0
% 176.85/27.73 (15) ~ (all_61_13 = e0)
% 176.85/27.73 (16) ~ (unit = e3)
% 176.85/27.73
% 176.85/27.73 Begin of proof
% 176.85/27.73 |
% 176.85/27.73 | REDUCE: (2), (5) imply:
% 176.85/27.73 | (17) ~ (all_52_1 = e1)
% 176.85/27.73 |
% 176.85/27.73 | SIMP: (17) implies:
% 176.85/27.73 | (18) ~ (all_52_1 = e1)
% 176.85/27.73 |
% 176.85/27.73 | REDUCE: (6), (7) imply:
% 176.85/27.73 | (19) ~ (all_52_1 = e3)
% 176.85/27.73 |
% 176.85/27.73 | REF_CLOSE: (1), (3), (4), (8), (9), (10), (11), (12), (13), (14), (15), (16),
% 176.85/27.73 | (18), (19) are inconsistent by sub-proof #86.
% 176.85/27.73 |
% 176.85/27.73 End of proof
% 176.85/27.73
% 176.85/27.73 Sub-proof #86 shows that the following formulas are inconsistent:
% 176.85/27.73 ----------------------------------------------------------------
% 176.85/27.73 (1) op(all_61_13, e0) = all_61_13
% 176.85/27.73 (2) all_56_1 = e3 | all_56_1 = e2 | all_56_1 = e1 | all_56_1 = e0
% 176.85/27.73 (3) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 176.85/27.73 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 176.85/27.73 (4) ~ (all_52_1 = e3)
% 176.85/27.73 (5) op(e2, e2) = e3
% 176.85/27.73 (6) all_56_1 = all_52_1
% 176.85/27.73 (7) op(e2, all_52_1) = unit
% 176.85/27.73 (8) ~ (all_58_1 = e0) | all_58_3 = e2
% 176.85/27.73 (9) op(e2, e0) = all_61_13
% 176.85/27.73 (10) all_58_1 = all_52_1
% 176.85/27.73 (11) ~ (all_52_1 = e1)
% 176.85/27.73 (12) op(unit, e0) = e0
% 176.85/27.73 (13) ~ (all_61_13 = e0)
% 176.85/27.73 (14) ~ (unit = e3)
% 176.85/27.73
% 176.85/27.73 Begin of proof
% 176.85/27.73 |
% 176.85/27.73 | BETA: splitting (8) gives:
% 176.85/27.73 |
% 176.85/27.73 | Case 1:
% 176.85/27.73 | |
% 176.85/27.73 | | (15) ~ (all_58_1 = e0)
% 176.85/27.73 | |
% 176.85/27.73 | | REDUCE: (10), (15) imply:
% 176.85/27.73 | | (16) ~ (all_52_1 = e0)
% 176.85/27.73 | |
% 176.85/27.73 | | REF_CLOSE: (2), (3), (4), (5), (6), (7), (11), (14), (16) are inconsistent
% 176.85/27.73 | | by sub-proof #98.
% 176.85/27.73 | |
% 176.85/27.73 | Case 2:
% 176.85/27.73 | |
% 176.85/27.73 | | (17) all_58_1 = e0
% 176.85/27.73 | |
% 176.85/27.73 | | REF_CLOSE: (1), (3), (7), (9), (10), (12), (13), (17) are inconsistent by
% 176.85/27.73 | | sub-proof #87.
% 176.85/27.73 | |
% 176.85/27.73 | End of split
% 176.85/27.73 |
% 176.85/27.73 End of proof
% 176.85/27.73
% 176.85/27.73 Sub-proof #87 shows that the following formulas are inconsistent:
% 176.85/27.73 ----------------------------------------------------------------
% 176.85/27.73 (1) op(all_61_13, e0) = all_61_13
% 176.85/27.73 (2) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 176.85/27.73 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 176.85/27.73 (3) all_58_1 = e0
% 176.85/27.73 (4) op(e2, all_52_1) = unit
% 176.85/27.73 (5) op(e2, e0) = all_61_13
% 176.85/27.73 (6) all_58_1 = all_52_1
% 176.85/27.73 (7) op(unit, e0) = e0
% 176.85/27.73 (8) ~ (all_61_13 = e0)
% 176.85/27.73
% 176.85/27.73 Begin of proof
% 176.85/27.73 |
% 176.85/27.73 | COMBINE_EQS: (3), (6) imply:
% 176.85/27.73 | (9) all_52_1 = e0
% 176.85/27.73 |
% 176.85/27.73 | SIMP: (9) implies:
% 176.85/27.73 | (10) all_52_1 = e0
% 176.85/27.73 |
% 176.85/27.73 | REDUCE: (4), (10) imply:
% 176.85/27.73 | (11) op(e2, e0) = unit
% 176.85/27.73 |
% 176.85/27.73 | REF_CLOSE: (1), (2), (5), (7), (8), (11) are inconsistent by sub-proof #88.
% 176.85/27.73 |
% 176.85/27.73 End of proof
% 176.85/27.73
% 176.85/27.73 Sub-proof #88 shows that the following formulas are inconsistent:
% 176.85/27.73 ----------------------------------------------------------------
% 176.85/27.73 (1) op(all_61_13, e0) = all_61_13
% 176.85/27.73 (2) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 176.85/27.73 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 176.85/27.73 (3) op(e2, e0) = all_61_13
% 176.85/27.73 (4) op(unit, e0) = e0
% 176.85/27.73 (5) ~ (all_61_13 = e0)
% 176.85/27.73 (6) op(e2, e0) = unit
% 176.85/27.73
% 176.85/27.73 Begin of proof
% 176.85/27.73 |
% 176.85/27.73 | GROUND_INST: instantiating (2) with all_61_13, unit, e0, e2, simplifying with
% 176.85/27.73 | (3), (6) gives:
% 176.85/27.73 | (7) all_61_13 = unit
% 176.85/27.73 |
% 176.85/27.73 | REDUCE: (5), (7) imply:
% 176.85/27.73 | (8) ~ (unit = e0)
% 176.85/27.73 |
% 176.85/27.73 | REDUCE: (1), (7) imply:
% 176.85/27.73 | (9) op(unit, e0) = unit
% 176.85/27.73 |
% 176.85/27.73 | GROUND_INST: instantiating (2) with e0, unit, e0, unit, simplifying with (4),
% 176.85/27.73 | (9) gives:
% 176.85/27.73 | (10) unit = e0
% 176.85/27.73 |
% 176.85/27.73 | REDUCE: (8), (10) imply:
% 176.85/27.73 | (11) $false
% 176.85/27.73 |
% 176.85/27.73 | CLOSE: (11) is inconsistent.
% 176.85/27.73 |
% 176.85/27.73 End of proof
% 176.85/27.73
% 176.85/27.73 Sub-proof #89 shows that the following formulas are inconsistent:
% 176.85/27.73 ----------------------------------------------------------------
% 176.85/27.73 (1) op(all_61_9, e1) = all_61_9
% 176.85/27.73 (2) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 176.85/27.73 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 176.85/27.73 (3) op(unit, e1) = e1
% 176.85/27.73 (4) op(e2, all_52_1) = unit
% 176.85/27.73 (5) all_58_1 = all_52_1
% 176.85/27.73 (6) all_58_1 = e1
% 176.85/27.73 (7) ~ (all_61_9 = e1)
% 176.85/27.73 (8) op(e2, e1) = all_61_9
% 176.85/27.73
% 176.85/27.73 Begin of proof
% 176.85/27.73 |
% 176.85/27.73 | COMBINE_EQS: (5), (6) imply:
% 176.85/27.73 | (9) all_52_1 = e1
% 176.85/27.73 |
% 176.85/27.73 | SIMP: (9) implies:
% 176.85/27.73 | (10) all_52_1 = e1
% 176.85/27.73 |
% 176.85/27.73 | REDUCE: (4), (10) imply:
% 176.85/27.73 | (11) op(e2, e1) = unit
% 176.85/27.73 |
% 176.85/27.73 | REF_CLOSE: (1), (2), (3), (7), (8), (11) are inconsistent by sub-proof #90.
% 176.85/27.73 |
% 176.85/27.73 End of proof
% 176.85/27.73
% 176.85/27.73 Sub-proof #90 shows that the following formulas are inconsistent:
% 176.85/27.73 ----------------------------------------------------------------
% 176.85/27.73 (1) op(e2, e1) = unit
% 176.85/27.73 (2) op(all_61_9, e1) = all_61_9
% 176.85/27.73 (3) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 176.85/27.73 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 176.85/27.73 (4) op(unit, e1) = e1
% 176.85/27.73 (5) ~ (all_61_9 = e1)
% 176.85/27.73 (6) op(e2, e1) = all_61_9
% 176.85/27.73
% 176.85/27.73 Begin of proof
% 176.85/27.73 |
% 176.85/27.73 | GROUND_INST: instantiating (3) with all_61_9, unit, e1, e2, simplifying with
% 176.85/27.73 | (1), (6) gives:
% 176.85/27.73 | (7) all_61_9 = unit
% 176.85/27.73 |
% 176.85/27.73 | REDUCE: (5), (7) imply:
% 176.85/27.73 | (8) ~ (unit = e1)
% 176.85/27.73 |
% 176.85/27.73 | REDUCE: (2), (7) imply:
% 176.85/27.73 | (9) op(unit, e1) = unit
% 176.85/27.73 |
% 176.85/27.73 | GROUND_INST: instantiating (3) with e1, unit, e1, unit, simplifying with (4),
% 176.85/27.73 | (9) gives:
% 176.85/27.73 | (10) unit = e1
% 176.85/27.73 |
% 176.85/27.73 | REDUCE: (8), (10) imply:
% 176.85/27.73 | (11) $false
% 176.85/27.73 |
% 176.85/27.73 | CLOSE: (11) is inconsistent.
% 176.85/27.73 |
% 176.85/27.73 End of proof
% 176.85/27.73
% 176.85/27.73 Sub-proof #91 shows that the following formulas are inconsistent:
% 176.85/27.73 ----------------------------------------------------------------
% 176.85/27.73 (1) op(all_6_1, e2) = e0
% 176.85/27.73 (2) all_56_0 = e3 | all_56_0 = e2 | all_56_0 = e1 | all_56_0 = e0
% 176.85/27.73 (3) ~ (all_52_0 = all_52_1)
% 176.85/27.73 (4) op(e3, all_52_0) = unit
% 176.85/27.73 (5) ~ (all_52_1 = all_52_3)
% 176.85/27.73 (6) ~ (all_52_0 = all_52_3)
% 176.85/27.73 (7) all_58_0 = all_52_0
% 176.85/27.73 (8) all_56_1 = e3 | all_56_1 = e2 | all_56_1 = e1 | all_56_1 = e0
% 176.85/27.73 (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 176.85/27.73 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 176.85/27.73 (10) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (inv(v2) = v1) |
% 176.85/27.73 ~ (inv(v2) = v0))
% 176.85/27.73 (11) op(e2, unit) = e2
% 176.85/27.73 (12) ~ (all_52_0 = e1)
% 176.85/27.73 (13) ~ (all_58_0 = e2) | all_58_1 = e3
% 176.85/27.73 (14) op(all_36_1, e3) = e0
% 176.85/27.73 (15) ~ (all_58_0 = e0) | all_58_3 = e3
% 176.85/27.73 (16) op(e3, e0) = all_36_1
% 176.85/27.73 (17) op(e3, e3) = e0
% 176.85/27.73 (18) inv(unit) = unit
% 176.85/27.73 (19) op(unit, e3) = e3
% 176.85/27.73 (20) all_56_1 = all_52_1
% 176.85/27.73 (21) all_58_3 = all_52_3
% 176.85/27.73 (22) inv(e0) = all_52_3
% 176.85/27.73 (23) op(e2, all_52_1) = unit
% 176.85/27.73 (24) op(e2, e0) = all_61_13
% 176.85/27.73 (25) op(e2, all_61_13) = all_36_1
% 176.85/27.73 (26) op(e3, unit) = e3
% 176.85/27.73 (27) ~ (e2 = e0)
% 176.85/27.73 (28) ~ (all_52_1 = e1)
% 176.85/27.73 (29) op(e3, e2) = all_6_1
% 176.85/27.73 (30) ~ (unit = e3)
% 176.85/27.73 (31) all_56_0 = all_52_0
% 176.85/27.73 (32) op(unit, e2) = e2
% 176.85/27.73
% 176.85/27.73 Begin of proof
% 176.85/27.73 |
% 176.85/27.73 | BETA: splitting (13) gives:
% 176.85/27.73 |
% 176.85/27.73 | Case 1:
% 176.85/27.73 | |
% 176.85/27.73 | | (33) ~ (all_58_0 = e2)
% 176.85/27.73 | |
% 176.85/27.73 | | REDUCE: (7), (33) imply:
% 176.85/27.73 | | (34) ~ (all_52_0 = e2)
% 176.85/27.73 | |
% 176.85/27.73 | | BETA: splitting (15) gives:
% 176.85/27.73 | |
% 176.85/27.73 | | Case 1:
% 176.85/27.73 | | |
% 176.85/27.73 | | | (35) ~ (all_58_0 = e0)
% 176.85/27.73 | | |
% 176.85/27.73 | | | REDUCE: (7), (35) imply:
% 176.85/27.73 | | | (36) ~ (all_52_0 = e0)
% 176.85/27.73 | | |
% 176.85/27.73 | | | BETA: splitting (2) gives:
% 176.85/27.73 | | |
% 176.85/27.73 | | | Case 1:
% 176.85/27.73 | | | |
% 176.85/27.73 | | | | (37) all_56_0 = e3
% 176.85/27.73 | | | |
% 176.85/27.73 | | | | COMBINE_EQS: (31), (37) imply:
% 176.85/27.73 | | | | (38) all_52_0 = e3
% 176.85/27.73 | | | |
% 176.85/27.73 | | | | REDUCE: (3), (38) imply:
% 176.85/27.73 | | | | (39) ~ (all_52_1 = e3)
% 176.85/27.73 | | | |
% 176.85/27.73 | | | | SIMP: (39) implies:
% 176.85/27.73 | | | | (40) ~ (all_52_1 = e3)
% 176.85/27.73 | | | |
% 176.85/27.73 | | | | REDUCE: (4), (38) imply:
% 176.85/27.73 | | | | (41) op(e3, e3) = unit
% 176.85/27.73 | | | |
% 176.85/27.73 | | | | GROUND_INST: instantiating (9) with e0, unit, e3, e3, simplifying with
% 176.85/27.73 | | | | (17), (41) gives:
% 176.85/27.73 | | | | (42) unit = e0
% 176.85/27.73 | | | |
% 176.85/27.73 | | | | REDUCE: (18), (42) imply:
% 176.85/27.73 | | | | (43) inv(e0) = e0
% 176.85/27.73 | | | |
% 176.85/27.73 | | | | REDUCE: (26), (42) imply:
% 176.85/27.73 | | | | (44) op(e3, e0) = e3
% 176.85/27.73 | | | |
% 176.85/27.73 | | | | REDUCE: (11), (42) imply:
% 176.85/27.73 | | | | (45) op(e2, e0) = e2
% 176.85/27.73 | | | |
% 176.85/27.73 | | | | GROUND_INST: instantiating (9) with all_61_13, e2, e0, e2, simplifying
% 176.85/27.73 | | | | with (24), (45) gives:
% 176.85/27.73 | | | | (46) all_61_13 = e2
% 176.85/27.73 | | | |
% 176.85/27.73 | | | | GROUND_INST: instantiating (9) with all_36_1, e3, e0, e3, simplifying
% 176.85/27.73 | | | | with (16), (44) gives:
% 176.85/27.73 | | | | (47) all_36_1 = e3
% 176.85/27.73 | | | |
% 176.85/27.73 | | | | GROUND_INST: instantiating (10) with all_52_3, e0, e0, simplifying with
% 176.85/27.73 | | | | (22), (43) gives:
% 176.85/27.73 | | | | (48) all_52_3 = e0
% 176.85/27.73 | | | |
% 176.85/27.73 | | | | REDUCE: (5), (48) imply:
% 176.85/27.73 | | | | (49) ~ (all_52_1 = e0)
% 176.85/27.73 | | | |
% 176.85/27.73 | | | | REDUCE: (25), (46), (47) imply:
% 176.85/27.73 | | | | (50) op(e2, e2) = e3
% 176.85/27.73 | | | |
% 176.85/27.73 | | | | REF_CLOSE: (8), (9), (20), (23), (28), (30), (40), (49), (50) are
% 176.85/27.73 | | | | inconsistent by sub-proof #98.
% 176.85/27.73 | | | |
% 176.85/27.73 | | | Case 2:
% 176.85/27.73 | | | |
% 176.85/27.73 | | | | (51) all_56_0 = e2 | all_56_0 = e1 | all_56_0 = e0
% 176.85/27.73 | | | |
% 176.85/27.73 | | | | REF_CLOSE: (12), (31), (34), (36), (51) are inconsistent by sub-proof
% 176.85/27.73 | | | | #512.
% 176.85/27.73 | | | |
% 176.85/27.73 | | | End of split
% 176.85/27.73 | | |
% 176.85/27.73 | | Case 2:
% 176.85/27.73 | | |
% 176.85/27.73 | | | (52) all_58_3 = e3
% 176.85/27.73 | | | (53) all_58_0 = e0
% 176.85/27.73 | | |
% 176.85/27.73 | | | REF_CLOSE: (4), (6), (7), (9), (14), (16), (19), (21), (52), (53) are
% 176.85/27.73 | | | inconsistent by sub-proof #120.
% 176.85/27.73 | | |
% 176.85/27.73 | | End of split
% 176.85/27.73 | |
% 176.85/27.73 | Case 2:
% 176.85/27.73 | |
% 176.85/27.73 | | (54) all_58_0 = e2
% 176.85/27.73 | |
% 176.85/27.73 | | COMBINE_EQS: (7), (54) imply:
% 176.85/27.73 | | (55) all_52_0 = e2
% 176.85/27.73 | |
% 176.85/27.73 | | SIMP: (55) implies:
% 176.85/27.73 | | (56) all_52_0 = e2
% 176.85/27.73 | |
% 176.85/27.73 | | REDUCE: (4), (56) imply:
% 176.85/27.73 | | (57) op(e3, e2) = unit
% 176.85/27.73 | |
% 176.85/27.73 | | REF_CLOSE: (1), (9), (27), (29), (32), (57) are inconsistent by sub-proof
% 176.85/27.73 | | #92.
% 176.85/27.73 | |
% 176.85/27.73 | End of split
% 176.85/27.73 |
% 176.85/27.73 End of proof
% 176.85/27.73
% 176.85/27.73 Sub-proof #92 shows that the following formulas are inconsistent:
% 176.85/27.73 ----------------------------------------------------------------
% 176.85/27.73 (1) op(all_6_1, e2) = e0
% 176.85/27.73 (2) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 176.85/27.73 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 176.85/27.73 (3) op(e3, e2) = unit
% 176.85/27.73 (4) ~ (e2 = e0)
% 176.85/27.73 (5) op(e3, e2) = all_6_1
% 176.85/27.73 (6) op(unit, e2) = e2
% 176.85/27.73
% 176.85/27.73 Begin of proof
% 176.85/27.73 |
% 176.85/27.73 | GROUND_INST: instantiating (2) with all_6_1, unit, e2, e3, simplifying with
% 176.85/27.73 | (3), (5) gives:
% 176.85/27.73 | (7) all_6_1 = unit
% 176.85/27.73 |
% 176.85/27.73 | REDUCE: (1), (7) imply:
% 176.85/27.73 | (8) op(unit, e2) = e0
% 176.85/27.73 |
% 176.85/27.73 | GROUND_INST: instantiating (2) with e2, e0, e2, unit, simplifying with (6),
% 176.85/27.73 | (8) gives:
% 176.85/27.73 | (9) e2 = e0
% 176.85/27.73 |
% 176.85/27.73 | REDUCE: (4), (9) imply:
% 176.85/27.73 | (10) $false
% 176.85/27.73 |
% 176.85/27.73 | CLOSE: (10) is inconsistent.
% 176.85/27.73 |
% 176.85/27.73 End of proof
% 176.85/27.73
% 176.85/27.73 Sub-proof #93 shows that the following formulas are inconsistent:
% 176.85/27.73 ----------------------------------------------------------------
% 176.85/27.73 (1) ~ (all_6_1 = e2)
% 176.85/27.73 (2) all_63_4 = e3 | all_63_4 = e2 | all_63_4 = e1 | all_63_4 = e0
% 176.85/27.73 (3) ~ (all_6_1 = e1)
% 176.85/27.73 (4) all_63_4 = all_6_1
% 176.85/27.73 (5) ~ (all_6_1 = e3)
% 176.85/27.73 (6) ~ (all_6_1 = e0)
% 176.85/27.73
% 176.85/27.73 Begin of proof
% 176.85/27.73 |
% 176.85/27.73 | BETA: splitting (2) gives:
% 176.85/27.73 |
% 176.85/27.73 | Case 1:
% 176.85/27.73 | |
% 176.85/27.73 | | (7) all_63_4 = e3
% 176.85/27.73 | |
% 176.85/27.73 | | REF_CLOSE: (4), (5), (7) are inconsistent by sub-proof #94.
% 176.85/27.73 | |
% 176.85/27.73 | Case 2:
% 176.85/27.73 | |
% 176.85/27.73 | | (8) all_63_4 = e2 | all_63_4 = e1 | all_63_4 = e0
% 176.85/27.73 | |
% 176.85/27.73 | | REF_CLOSE: (1), (3), (4), (6), (8) are inconsistent by sub-proof #101.
% 176.85/27.73 | |
% 176.85/27.73 | End of split
% 176.85/27.73 |
% 176.85/27.73 End of proof
% 176.85/27.73
% 176.85/27.73 Sub-proof #94 shows that the following formulas are inconsistent:
% 176.85/27.73 ----------------------------------------------------------------
% 176.85/27.73 (1) all_63_4 = all_6_1
% 176.85/27.73 (2) all_63_4 = e3
% 176.85/27.73 (3) ~ (all_6_1 = e3)
% 176.85/27.73
% 176.85/27.73 Begin of proof
% 176.85/27.73 |
% 176.85/27.73 | COMBINE_EQS: (1), (2) imply:
% 176.85/27.73 | (4) all_6_1 = e3
% 176.85/27.73 |
% 176.85/27.73 | SIMP: (4) implies:
% 176.85/27.73 | (5) all_6_1 = e3
% 176.85/27.73 |
% 176.85/27.73 | REDUCE: (3), (5) imply:
% 176.85/27.73 | (6) $false
% 176.85/27.73 |
% 176.85/27.73 | CLOSE: (6) is inconsistent.
% 176.85/27.73 |
% 176.85/27.73 End of proof
% 176.85/27.73
% 176.85/27.73 Sub-proof #95 shows that the following formulas are inconsistent:
% 176.85/27.73 ----------------------------------------------------------------
% 176.85/27.73 (1) ~ (unit = e1)
% 176.85/27.73 (2) ~ (all_61_9 = unit)
% 176.85/27.73 (3) all_61_9 = e0
% 176.85/27.73 (4) unit = e2 | unit = e1 | unit = e0
% 176.85/27.73 (5) ~ (all_61_12 = unit)
% 176.85/27.73 (6) all_61_12 = e2
% 176.85/27.73
% 176.85/27.73 Begin of proof
% 176.85/27.73 |
% 176.85/27.73 | REDUCE: (2), (3) imply:
% 176.85/27.73 | (7) ~ (unit = e0)
% 176.85/27.73 |
% 176.85/27.73 | SIMP: (7) implies:
% 176.85/27.73 | (8) ~ (unit = e0)
% 176.85/27.73 |
% 176.85/27.73 | REDUCE: (5), (6) imply:
% 176.85/27.73 | (9) ~ (unit = e2)
% 176.85/27.73 |
% 176.85/27.73 | SIMP: (9) implies:
% 176.85/27.73 | (10) ~ (unit = e2)
% 176.85/27.73 |
% 177.30/27.73 | REF_CLOSE: (1), (4), (8), (10) are inconsistent by sub-proof #398.
% 177.30/27.73 |
% 177.30/27.73 End of proof
% 177.30/27.73
% 177.30/27.73 Sub-proof #96 shows that the following formulas are inconsistent:
% 177.30/27.73 ----------------------------------------------------------------
% 177.30/27.73 (1) ~ (all_58_1 = e3) | all_58_0 = e2
% 177.30/27.74 (2) op(e3, all_52_0) = unit
% 177.30/27.74 (3) ~ (all_52_3 = e2)
% 177.30/27.74 (4) all_58_0 = all_52_0
% 177.30/27.74 (5) all_56_1 = e3 | all_56_1 = e2 | all_56_1 = e1 | all_56_1 = e0
% 177.30/27.74 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 177.30/27.74 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 177.30/27.74 (7) ~ (e2 = e1)
% 177.30/27.74 (8) op(e2, e2) = e3
% 177.30/27.74 (9) all_56_1 = all_52_1
% 177.30/27.74 (10) all_58_3 = all_52_3
% 177.30/27.74 (11) op(e2, all_52_1) = unit
% 177.30/27.74 (12) ~ (all_58_1 = e0) | all_58_3 = e2
% 177.30/27.74 (13) all_58_1 = all_52_1
% 177.30/27.74 (14) ~ (all_52_1 = e1)
% 177.30/27.74 (15) op(e3, e2) = all_6_1
% 177.30/27.74 (16) ~ (unit = e3)
% 177.30/27.74 (17) op(all_6_1, e2) = e1
% 177.30/27.74 (18) op(unit, e2) = e2
% 177.30/27.74
% 177.30/27.74 Begin of proof
% 177.30/27.74 |
% 177.30/27.74 | BETA: splitting (12) gives:
% 177.30/27.74 |
% 177.30/27.74 | Case 1:
% 177.30/27.74 | |
% 177.30/27.74 | | (19) ~ (all_58_1 = e0)
% 177.30/27.74 | |
% 177.30/27.74 | | REDUCE: (13), (19) imply:
% 177.30/27.74 | | (20) ~ (all_52_1 = e0)
% 177.30/27.74 | |
% 177.30/27.74 | | REF_CLOSE: (1), (2), (4), (5), (6), (7), (8), (9), (11), (13), (14), (15),
% 177.30/27.74 | | (16), (17), (18), (20) are inconsistent by sub-proof #97.
% 177.30/27.74 | |
% 177.30/27.74 | Case 2:
% 177.30/27.74 | |
% 177.30/27.74 | | (21) all_58_3 = e2
% 177.30/27.74 | |
% 177.30/27.74 | | REF_CLOSE: (3), (10), (21) are inconsistent by sub-proof #459.
% 177.30/27.74 | |
% 177.30/27.74 | End of split
% 177.30/27.74 |
% 177.30/27.74 End of proof
% 177.30/27.74
% 177.30/27.74 Sub-proof #97 shows that the following formulas are inconsistent:
% 177.30/27.74 ----------------------------------------------------------------
% 177.30/27.74 (1) ~ (all_58_1 = e3) | all_58_0 = e2
% 177.30/27.74 (2) op(e3, all_52_0) = unit
% 177.30/27.74 (3) all_58_0 = all_52_0
% 177.30/27.74 (4) all_56_1 = e3 | all_56_1 = e2 | all_56_1 = e1 | all_56_1 = e0
% 177.30/27.74 (5) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 177.30/27.74 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 177.30/27.74 (6) ~ (e2 = e1)
% 177.30/27.74 (7) op(e2, e2) = e3
% 177.30/27.74 (8) all_56_1 = all_52_1
% 177.30/27.74 (9) op(e2, all_52_1) = unit
% 177.30/27.74 (10) all_58_1 = all_52_1
% 177.30/27.74 (11) ~ (all_52_1 = e1)
% 177.30/27.74 (12) op(e3, e2) = all_6_1
% 177.30/27.74 (13) ~ (unit = e3)
% 177.30/27.74 (14) op(all_6_1, e2) = e1
% 177.30/27.74 (15) ~ (all_52_1 = e0)
% 177.30/27.74 (16) op(unit, e2) = e2
% 177.30/27.74
% 177.30/27.74 Begin of proof
% 177.30/27.74 |
% 177.30/27.74 | BETA: splitting (1) gives:
% 177.30/27.74 |
% 177.30/27.74 | Case 1:
% 177.30/27.74 | |
% 177.30/27.74 | | (17) ~ (all_58_1 = e3)
% 177.30/27.74 | |
% 177.30/27.74 | | REDUCE: (10), (17) imply:
% 177.30/27.74 | | (18) ~ (all_52_1 = e3)
% 177.30/27.74 | |
% 177.30/27.74 | | REF_CLOSE: (4), (5), (7), (8), (9), (11), (13), (15), (18) are inconsistent
% 177.30/27.74 | | by sub-proof #98.
% 177.30/27.74 | |
% 177.30/27.74 | Case 2:
% 177.30/27.74 | |
% 177.30/27.74 | | (19) all_58_0 = e2
% 177.30/27.74 | |
% 177.30/27.74 | | COMBINE_EQS: (3), (19) imply:
% 177.30/27.74 | | (20) all_52_0 = e2
% 177.30/27.74 | |
% 177.30/27.74 | | SIMP: (20) implies:
% 177.30/27.74 | | (21) all_52_0 = e2
% 177.30/27.74 | |
% 177.30/27.74 | | REDUCE: (2), (21) imply:
% 177.30/27.74 | | (22) op(e3, e2) = unit
% 177.30/27.74 | |
% 177.30/27.74 | | REF_CLOSE: (5), (6), (12), (14), (16), (22) are inconsistent by sub-proof
% 177.30/27.74 | | #100.
% 177.30/27.74 | |
% 177.30/27.74 | End of split
% 177.30/27.74 |
% 177.30/27.74 End of proof
% 177.30/27.74
% 177.30/27.74 Sub-proof #98 shows that the following formulas are inconsistent:
% 177.30/27.74 ----------------------------------------------------------------
% 177.30/27.74 (1) all_56_1 = e3 | all_56_1 = e2 | all_56_1 = e1 | all_56_1 = e0
% 177.30/27.74 (2) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 177.30/27.74 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 177.30/27.74 (3) ~ (all_52_1 = e3)
% 177.30/27.74 (4) op(e2, e2) = e3
% 177.30/27.74 (5) all_56_1 = all_52_1
% 177.30/27.74 (6) op(e2, all_52_1) = unit
% 177.30/27.74 (7) ~ (all_52_1 = e1)
% 177.30/27.74 (8) ~ (unit = e3)
% 177.30/27.74 (9) ~ (all_52_1 = e0)
% 177.30/27.74
% 177.30/27.74 Begin of proof
% 177.30/27.74 |
% 177.30/27.74 | BETA: splitting (1) gives:
% 177.30/27.74 |
% 177.30/27.74 | Case 1:
% 177.30/27.74 | |
% 177.30/27.74 | | (10) all_56_1 = e3
% 177.30/27.74 | |
% 177.30/27.74 | | COMBINE_EQS: (5), (10) imply:
% 177.30/27.74 | | (11) all_52_1 = e3
% 177.30/27.74 | |
% 177.30/27.74 | | REDUCE: (3), (11) imply:
% 177.30/27.74 | | (12) $false
% 177.30/27.74 | |
% 177.30/27.74 | | CLOSE: (12) is inconsistent.
% 177.30/27.74 | |
% 177.30/27.74 | Case 2:
% 177.30/27.74 | |
% 177.30/27.74 | | (13) all_56_1 = e2 | all_56_1 = e1 | all_56_1 = e0
% 177.30/27.74 | |
% 177.30/27.74 | | BETA: splitting (13) gives:
% 177.30/27.74 | |
% 177.30/27.74 | | Case 1:
% 177.30/27.74 | | |
% 177.30/27.74 | | | (14) all_56_1 = e2
% 177.30/27.74 | | |
% 177.30/27.74 | | | COMBINE_EQS: (5), (14) imply:
% 177.30/27.74 | | | (15) all_52_1 = e2
% 177.30/27.74 | | |
% 177.30/27.74 | | | REDUCE: (6), (15) imply:
% 177.30/27.74 | | | (16) op(e2, e2) = unit
% 177.30/27.74 | | |
% 177.30/27.74 | | | GROUND_INST: instantiating (2) with e3, unit, e2, e2, simplifying with
% 177.30/27.74 | | | (4), (16) gives:
% 177.30/27.74 | | | (17) unit = e3
% 177.30/27.74 | | |
% 177.30/27.74 | | | REDUCE: (8), (17) imply:
% 177.30/27.74 | | | (18) $false
% 177.30/27.74 | | |
% 177.30/27.74 | | | CLOSE: (18) is inconsistent.
% 177.30/27.74 | | |
% 177.30/27.74 | | Case 2:
% 177.30/27.74 | | |
% 177.30/27.74 | | | (19) all_56_1 = e1 | all_56_1 = e0
% 177.30/27.74 | | |
% 177.30/27.74 | | | REF_CLOSE: (5), (7), (9), (19) are inconsistent by sub-proof #454.
% 177.30/27.74 | | |
% 177.30/27.74 | | End of split
% 177.30/27.74 | |
% 177.30/27.74 | End of split
% 177.30/27.74 |
% 177.30/27.74 End of proof
% 177.30/27.74
% 177.30/27.74 Sub-proof #99 shows that the following formulas are inconsistent:
% 177.30/27.74 ----------------------------------------------------------------
% 177.30/27.74 (1) op(e3, all_52_0) = unit
% 177.30/27.74 (2) all_58_0 = all_52_0
% 177.30/27.74 (3) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 177.30/27.74 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 177.30/27.74 (4) all_58_0 = e2
% 177.30/27.74 (5) ~ (e2 = e1)
% 177.30/27.74 (6) op(e3, e2) = all_6_1
% 177.30/27.74 (7) op(all_6_1, e2) = e1
% 177.30/27.74 (8) op(unit, e2) = e2
% 177.30/27.74
% 177.30/27.74 Begin of proof
% 177.30/27.74 |
% 177.30/27.74 | COMBINE_EQS: (2), (4) imply:
% 177.30/27.74 | (9) all_52_0 = e2
% 177.30/27.74 |
% 177.30/27.74 | SIMP: (9) implies:
% 177.30/27.74 | (10) all_52_0 = e2
% 177.30/27.74 |
% 177.30/27.74 | REDUCE: (1), (10) imply:
% 177.30/27.74 | (11) op(e3, e2) = unit
% 177.30/27.74 |
% 177.30/27.74 | REF_CLOSE: (3), (5), (6), (7), (8), (11) are inconsistent by sub-proof #100.
% 177.30/27.74 |
% 177.30/27.74 End of proof
% 177.30/27.74
% 177.30/27.74 Sub-proof #100 shows that the following formulas are inconsistent:
% 177.30/27.74 ----------------------------------------------------------------
% 177.30/27.74 (1) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 177.30/27.74 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 177.30/27.74 (2) ~ (e2 = e1)
% 177.30/27.74 (3) op(e3, e2) = unit
% 177.30/27.74 (4) op(e3, e2) = all_6_1
% 177.30/27.74 (5) op(all_6_1, e2) = e1
% 177.30/27.74 (6) op(unit, e2) = e2
% 177.30/27.74
% 177.30/27.74 Begin of proof
% 177.30/27.74 |
% 177.30/27.74 | GROUND_INST: instantiating (1) with all_6_1, unit, e2, e3, simplifying with
% 177.30/27.74 | (3), (4) gives:
% 177.30/27.74 | (7) all_6_1 = unit
% 177.30/27.74 |
% 177.30/27.74 | REDUCE: (5), (7) imply:
% 177.30/27.74 | (8) op(unit, e2) = e1
% 177.30/27.74 |
% 177.30/27.74 | GROUND_INST: instantiating (1) with e2, e1, e2, unit, simplifying with (6),
% 177.30/27.74 | (8) gives:
% 177.30/27.74 | (9) e2 = e1
% 177.30/27.74 |
% 177.30/27.74 | REDUCE: (2), (9) imply:
% 177.30/27.74 | (10) $false
% 177.30/27.74 |
% 177.30/27.74 | CLOSE: (10) is inconsistent.
% 177.30/27.74 |
% 177.30/27.74 End of proof
% 177.30/27.74
% 177.30/27.74 Sub-proof #101 shows that the following formulas are inconsistent:
% 177.30/27.74 ----------------------------------------------------------------
% 177.30/27.74 (1) ~ (all_6_1 = e2)
% 177.30/27.74 (2) ~ (all_6_1 = e1)
% 177.30/27.74 (3) all_63_4 = e2 | all_63_4 = e1 | all_63_4 = e0
% 177.30/27.74 (4) all_63_4 = all_6_1
% 177.30/27.74 (5) ~ (all_6_1 = e0)
% 177.30/27.74
% 177.30/27.74 Begin of proof
% 177.30/27.74 |
% 177.30/27.74 | BETA: splitting (3) gives:
% 177.30/27.74 |
% 177.30/27.74 | Case 1:
% 177.30/27.74 | |
% 177.30/27.74 | | (6) all_63_4 = e2
% 177.30/27.74 | |
% 177.30/27.74 | | COMBINE_EQS: (4), (6) imply:
% 177.30/27.74 | | (7) all_6_1 = e2
% 177.30/27.74 | |
% 177.30/27.74 | | SIMP: (7) implies:
% 177.30/27.74 | | (8) all_6_1 = e2
% 177.30/27.74 | |
% 177.30/27.74 | | REDUCE: (1), (8) imply:
% 177.30/27.74 | | (9) $false
% 177.30/27.74 | |
% 177.30/27.74 | | CLOSE: (9) is inconsistent.
% 177.30/27.74 | |
% 177.30/27.74 | Case 2:
% 177.30/27.74 | |
% 177.30/27.74 | | (10) all_63_4 = e1 | all_63_4 = e0
% 177.30/27.74 | |
% 177.30/27.74 | | REF_CLOSE: (2), (4), (5), (10) are inconsistent by sub-proof #102.
% 177.30/27.74 | |
% 177.30/27.74 | End of split
% 177.30/27.74 |
% 177.30/27.74 End of proof
% 177.30/27.74
% 177.30/27.74 Sub-proof #102 shows that the following formulas are inconsistent:
% 177.30/27.74 ----------------------------------------------------------------
% 177.30/27.74 (1) all_63_4 = e1 | all_63_4 = e0
% 177.30/27.74 (2) all_63_4 = all_6_1
% 177.30/27.74 (3) ~ (all_6_1 = e1)
% 177.30/27.74 (4) ~ (all_6_1 = e0)
% 177.30/27.74
% 177.30/27.74 Begin of proof
% 177.30/27.74 |
% 177.30/27.74 | BETA: splitting (1) gives:
% 177.30/27.74 |
% 177.30/27.74 | Case 1:
% 177.30/27.74 | |
% 177.30/27.74 | | (5) all_63_4 = e1
% 177.30/27.74 | |
% 177.30/27.74 | | COMBINE_EQS: (2), (5) imply:
% 177.30/27.74 | | (6) all_6_1 = e1
% 177.30/27.74 | |
% 177.30/27.74 | | SIMP: (6) implies:
% 177.30/27.74 | | (7) all_6_1 = e1
% 177.30/27.74 | |
% 177.30/27.74 | | REDUCE: (3), (7) imply:
% 177.30/27.74 | | (8) $false
% 177.30/27.74 | |
% 177.30/27.74 | | CLOSE: (8) is inconsistent.
% 177.30/27.74 | |
% 177.30/27.74 | Case 2:
% 177.30/27.74 | |
% 177.30/27.74 | | (9) all_63_4 = e0
% 177.30/27.74 | |
% 177.30/27.74 | | COMBINE_EQS: (2), (9) imply:
% 177.30/27.74 | | (10) all_6_1 = e0
% 177.30/27.74 | |
% 177.30/27.74 | | SIMP: (10) implies:
% 177.30/27.74 | | (11) all_6_1 = e0
% 177.30/27.74 | |
% 177.30/27.74 | | REDUCE: (4), (11) imply:
% 177.30/27.74 | | (12) $false
% 177.30/27.74 | |
% 177.30/27.74 | | CLOSE: (12) is inconsistent.
% 177.30/27.74 | |
% 177.30/27.74 | End of split
% 177.30/27.74 |
% 177.30/27.74 End of proof
% 177.30/27.74
% 177.30/27.74 Sub-proof #103 shows that the following formulas are inconsistent:
% 177.30/27.74 ----------------------------------------------------------------
% 177.30/27.74 (1) all_56_0 = e3 | all_56_0 = e2 | all_56_0 = e1 | all_56_0 = e0
% 177.30/27.74 (2) op(e3, all_52_0) = unit
% 177.30/27.74 (3) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 177.30/27.74 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 177.30/27.74 (4) ~ (all_52_0 = e1)
% 177.30/27.74 (5) ~ (all_52_0 = e0)
% 177.30/27.74 (6) ~ (all_52_0 = e2)
% 177.30/27.74 (7) op(e3, e3) = e1
% 177.30/27.74 (8) op(e1, e0) = all_61_14
% 177.30/27.74 (9) op(unit, e0) = e0
% 177.30/27.74 (10) all_56_0 = all_52_0
% 177.30/27.74 (11) ~ (all_61_14 = e0)
% 177.30/27.74
% 177.30/27.74 Begin of proof
% 177.30/27.74 |
% 177.30/27.74 | BETA: splitting (1) gives:
% 177.30/27.74 |
% 177.30/27.74 | Case 1:
% 177.30/27.74 | |
% 177.30/27.74 | | (12) all_56_0 = e3
% 177.30/27.74 | |
% 177.30/27.74 | | COMBINE_EQS: (10), (12) imply:
% 177.30/27.74 | | (13) all_52_0 = e3
% 177.30/27.74 | |
% 177.30/27.74 | | REDUCE: (2), (13) imply:
% 177.30/27.74 | | (14) op(e3, e3) = unit
% 177.30/27.74 | |
% 177.30/27.74 | | GROUND_INST: instantiating (3) with e1, unit, e3, e3, simplifying with (7),
% 177.30/27.74 | | (14) gives:
% 177.30/27.74 | | (15) unit = e1
% 177.30/27.74 | |
% 177.30/27.74 | | REF_CLOSE: (3), (8), (9), (11), (15) are inconsistent by sub-proof #498.
% 177.30/27.74 | |
% 177.30/27.74 | Case 2:
% 177.30/27.74 | |
% 177.30/27.74 | | (16) all_56_0 = e2 | all_56_0 = e1 | all_56_0 = e0
% 177.30/27.74 | |
% 177.30/27.74 | | REF_CLOSE: (4), (5), (6), (10), (16) are inconsistent by sub-proof #512.
% 177.30/27.74 | |
% 177.30/27.74 | End of split
% 177.30/27.74 |
% 177.30/27.74 End of proof
% 177.30/27.74
% 177.30/27.74 Sub-proof #104 shows that the following formulas are inconsistent:
% 177.30/27.74 ----------------------------------------------------------------
% 177.30/27.74 (1) all_58_3 = e1
% 177.30/27.74 (2) ~ (all_52_3 = e3)
% 177.30/27.74 (3) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 177.30/27.74 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 177.30/27.74 (4) all_52_2 = e0
% 177.30/27.74 (5) op(e1, e0) = all_8_1
% 177.30/27.74 (6) op(unit, e1) = e1
% 177.30/27.74 (7) all_58_3 = all_52_3
% 177.30/27.74 (8) op(all_8_1, e1) = e3
% 177.30/27.74 (9) op(e1, all_52_2) = unit
% 177.30/27.74
% 177.30/27.74 Begin of proof
% 177.30/27.74 |
% 177.30/27.74 | COMBINE_EQS: (1), (7) imply:
% 177.30/27.74 | (10) all_52_3 = e1
% 177.30/27.74 |
% 177.30/27.74 | REDUCE: (2), (10) imply:
% 177.30/27.74 | (11) ~ (e3 = e1)
% 177.30/27.74 |
% 177.30/27.74 | SIMP: (11) implies:
% 177.30/27.74 | (12) ~ (e3 = e1)
% 177.30/27.74 |
% 177.30/27.74 | REDUCE: (4), (9) imply:
% 177.30/27.74 | (13) op(e1, e0) = unit
% 177.30/27.74 |
% 177.30/27.74 | REF_CLOSE: (3), (5), (6), (8), (12), (13) are inconsistent by sub-proof #170.
% 177.30/27.74 |
% 177.30/27.74 End of proof
% 177.30/27.74
% 177.30/27.74 Sub-proof #105 shows that the following formulas are inconsistent:
% 177.30/27.74 ----------------------------------------------------------------
% 177.30/27.74 (1) all_63_7 = all_61_13
% 177.30/27.74 (2) all_63_7 = e3 | all_63_7 = e2 | all_63_7 = e1 | all_63_7 = e0
% 177.30/27.74 (3) ~ (all_61_13 = e2)
% 177.30/27.74 (4) ~ (all_61_12 = all_61_13)
% 177.30/27.74 (5) all_63_12 = all_61_12
% 177.30/27.74 (6) ~ (all_61_13 = e1)
% 177.30/27.74 (7) ~ (all_61_12 = e1)
% 177.30/27.74 (8) ~ (all_61_13 = e3)
% 177.30/27.74 (9) ~ (all_61_12 = e2)
% 177.30/27.74 (10) all_63_12 = e2 | all_63_12 = e1 | all_63_12 = e0
% 177.30/27.74
% 177.30/27.74 Begin of proof
% 177.30/27.74 |
% 177.30/27.74 | BETA: splitting (10) gives:
% 177.30/27.74 |
% 177.30/27.74 | Case 1:
% 177.30/27.74 | |
% 177.30/27.74 | | (11) all_63_12 = e2
% 177.30/27.74 | |
% 177.30/27.74 | | COMBINE_EQS: (5), (11) imply:
% 177.30/27.74 | | (12) all_61_12 = e2
% 177.30/27.74 | |
% 177.30/27.74 | | REDUCE: (9), (12) imply:
% 177.30/27.74 | | (13) $false
% 177.30/27.74 | |
% 177.30/27.74 | | CLOSE: (13) is inconsistent.
% 177.30/27.74 | |
% 177.30/27.74 | Case 2:
% 177.30/27.74 | |
% 177.30/27.74 | | (14) all_63_12 = e1 | all_63_12 = e0
% 177.30/27.74 | |
% 177.30/27.74 | | BETA: splitting (14) gives:
% 177.30/27.74 | |
% 177.30/27.74 | | Case 1:
% 177.30/27.74 | | |
% 177.30/27.74 | | | (15) all_63_12 = e1
% 177.30/27.74 | | |
% 177.30/27.74 | | | COMBINE_EQS: (5), (15) imply:
% 177.30/27.74 | | | (16) all_61_12 = e1
% 177.30/27.74 | | |
% 177.30/27.74 | | | REDUCE: (7), (16) imply:
% 177.30/27.74 | | | (17) $false
% 177.30/27.74 | | |
% 177.30/27.74 | | | CLOSE: (17) is inconsistent.
% 177.30/27.74 | | |
% 177.30/27.74 | | Case 2:
% 177.30/27.74 | | |
% 177.30/27.74 | | | (18) all_63_12 = e0
% 177.30/27.74 | | |
% 177.30/27.74 | | | COMBINE_EQS: (5), (18) imply:
% 177.30/27.74 | | | (19) all_61_12 = e0
% 177.30/27.74 | | |
% 177.30/27.74 | | | REDUCE: (4), (19) imply:
% 177.30/27.74 | | | (20) ~ (all_61_13 = e0)
% 177.30/27.74 | | |
% 177.30/27.74 | | | SIMP: (20) implies:
% 177.30/27.74 | | | (21) ~ (all_61_13 = e0)
% 177.30/27.74 | | |
% 177.30/27.74 | | | REF_CLOSE: (1), (2), (3), (6), (8), (21) are inconsistent by sub-proof
% 177.30/27.74 | | | #473.
% 177.30/27.74 | | |
% 177.30/27.74 | | End of split
% 177.30/27.74 | |
% 177.30/27.74 | End of split
% 177.30/27.74 |
% 177.30/27.74 End of proof
% 177.30/27.74
% 177.30/27.74 Sub-proof #106 shows that the following formulas are inconsistent:
% 177.30/27.74 ----------------------------------------------------------------
% 177.30/27.74 (1) ~ (all_52_3 = e3)
% 177.30/27.74 (2) ~ (all_52_3 = e2)
% 177.30/27.74 (3) ~ (all_61_8 = e0)
% 177.30/27.74 (4) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 177.30/27.74 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 177.30/27.74 (5) op(e1, e0) = all_8_1
% 177.30/27.74 (6) ~ (all_61_8 = e2)
% 177.30/27.74 (7) op(e0, e0) = e0
% 177.30/27.74 (8) all_63_2 = e3 | all_63_2 = e2 | all_63_2 = e1 | all_63_2 = e0
% 177.30/27.74 (9) all_56_3 = e3 | all_56_3 = e2 | all_56_3 = e1 | all_56_3 = e0
% 177.30/27.74 (10) ~ (all_61_8 = all_61_12)
% 177.30/27.74 (11) ~ (all_61_8 = all_8_1)
% 177.30/27.74 (12) ~ (all_52_3 = e1)
% 177.30/27.74 (13) op(e3, e0) = all_61_12
% 177.30/27.74 (14) all_56_3 = all_52_3
% 177.30/27.74 (15) op(e3, unit) = e3
% 177.30/27.74 (16) op(e1, unit) = e1
% 177.30/27.74 (17) op(e0, all_52_3) = unit
% 177.30/27.74 (18) all_63_2 = all_61_8
% 177.30/27.74
% 177.30/27.74 Begin of proof
% 177.30/27.74 |
% 177.30/27.74 | BETA: splitting (9) gives:
% 177.30/27.74 |
% 177.30/27.74 | Case 1:
% 177.30/27.74 | |
% 177.30/27.74 | | (19) all_56_3 = e3
% 177.30/27.74 | |
% 177.30/27.74 | | COMBINE_EQS: (14), (19) imply:
% 177.30/27.74 | | (20) all_52_3 = e3
% 177.30/27.74 | |
% 177.30/27.74 | | REDUCE: (1), (20) imply:
% 177.30/27.74 | | (21) $false
% 177.30/27.74 | |
% 177.30/27.74 | | CLOSE: (21) is inconsistent.
% 177.30/27.74 | |
% 177.30/27.74 | Case 2:
% 177.30/27.74 | |
% 177.30/27.74 | | (22) all_56_3 = e2 | all_56_3 = e1 | all_56_3 = e0
% 177.30/27.74 | |
% 177.30/27.74 | | BETA: splitting (22) gives:
% 177.30/27.74 | |
% 177.30/27.74 | | Case 1:
% 177.30/27.74 | | |
% 177.30/27.74 | | | (23) all_56_3 = e2
% 177.30/27.74 | | |
% 177.30/27.74 | | | COMBINE_EQS: (14), (23) imply:
% 177.30/27.74 | | | (24) all_52_3 = e2
% 177.30/27.74 | | |
% 177.30/27.74 | | | REDUCE: (2), (24) imply:
% 177.30/27.74 | | | (25) $false
% 177.30/27.74 | | |
% 177.30/27.74 | | | CLOSE: (25) is inconsistent.
% 177.30/27.74 | | |
% 177.30/27.74 | | Case 2:
% 177.30/27.74 | | |
% 177.30/27.74 | | | (26) all_56_3 = e1 | all_56_3 = e0
% 177.30/27.74 | | |
% 177.30/27.74 | | | BETA: splitting (26) gives:
% 177.30/27.74 | | |
% 177.30/27.74 | | | Case 1:
% 177.30/27.74 | | | |
% 177.30/27.74 | | | | (27) all_56_3 = e1
% 177.30/27.74 | | | |
% 177.30/27.74 | | | | COMBINE_EQS: (14), (27) imply:
% 177.30/27.74 | | | | (28) all_52_3 = e1
% 177.30/27.74 | | | |
% 177.30/27.74 | | | | REDUCE: (12), (28) imply:
% 177.30/27.74 | | | | (29) $false
% 177.30/27.74 | | | |
% 177.30/27.74 | | | | CLOSE: (29) is inconsistent.
% 177.30/27.74 | | | |
% 177.30/27.74 | | | Case 2:
% 177.30/27.74 | | | |
% 177.30/27.74 | | | | (30) all_56_3 = e0
% 177.30/27.74 | | | |
% 177.30/27.74 | | | | COMBINE_EQS: (14), (30) imply:
% 177.30/27.74 | | | | (31) all_52_3 = e0
% 177.30/27.74 | | | |
% 177.30/27.74 | | | | REDUCE: (17), (31) imply:
% 177.30/27.74 | | | | (32) op(e0, e0) = unit
% 177.30/27.74 | | | |
% 177.30/27.74 | | | | GROUND_INST: instantiating (4) with e0, unit, e0, e0, simplifying with
% 177.30/27.74 | | | | (7), (32) gives:
% 177.30/27.74 | | | | (33) unit = e0
% 177.30/27.74 | | | |
% 177.30/27.74 | | | | REDUCE: (15), (33) imply:
% 177.30/27.74 | | | | (34) op(e3, e0) = e3
% 177.30/27.74 | | | |
% 177.30/27.74 | | | | REDUCE: (16), (33) imply:
% 177.30/27.74 | | | | (35) op(e1, e0) = e1
% 177.30/27.74 | | | |
% 177.30/27.74 | | | | GROUND_INST: instantiating (4) with all_8_1, e1, e0, e1, simplifying
% 177.30/27.74 | | | | with (5), (35) gives:
% 177.30/27.74 | | | | (36) all_8_1 = e1
% 177.30/27.74 | | | |
% 177.30/27.74 | | | | GROUND_INST: instantiating (4) with all_61_12, e3, e0, e3, simplifying
% 177.30/27.74 | | | | with (13), (34) gives:
% 177.30/27.74 | | | | (37) all_61_12 = e3
% 177.30/27.74 | | | |
% 177.30/27.74 | | | | REDUCE: (10), (37) imply:
% 177.30/27.74 | | | | (38) ~ (all_61_8 = e3)
% 177.30/27.74 | | | |
% 177.30/27.74 | | | | REDUCE: (11), (36) imply:
% 177.30/27.74 | | | | (39) ~ (all_61_8 = e1)
% 177.30/27.74 | | | |
% 177.30/27.74 | | | | REF_CLOSE: (3), (6), (8), (18), (38), (39) are inconsistent by sub-proof
% 177.30/27.74 | | | | #400.
% 177.30/27.74 | | | |
% 177.30/27.74 | | | End of split
% 177.30/27.74 | | |
% 177.30/27.74 | | End of split
% 177.30/27.74 | |
% 177.30/27.74 | End of split
% 177.30/27.74 |
% 177.30/27.74 End of proof
% 177.30/27.74
% 177.30/27.74 Sub-proof #107 shows that the following formulas are inconsistent:
% 177.30/27.74 ----------------------------------------------------------------
% 177.30/27.74 (1) ~ (all_61_4 = e2)
% 177.30/27.74 (2) ~ (all_61_4 = all_61_12)
% 177.30/27.74 (3) all_63_12 = all_61_12
% 177.30/27.74 (4) all_63_1 = e2 | all_63_1 = e1 | all_63_1 = e0
% 177.30/27.74 (5) ~ (all_61_4 = e1)
% 177.30/27.74 (6) all_63_1 = all_61_4
% 177.30/27.74 (7) all_63_12 = e1 | all_63_12 = e0
% 177.30/27.74 (8) ~ (all_61_12 = e1)
% 177.30/27.74
% 177.30/27.74 Begin of proof
% 177.30/27.74 |
% 177.30/27.74 | BETA: splitting (7) gives:
% 177.30/27.74 |
% 177.30/27.74 | Case 1:
% 177.30/27.74 | |
% 177.30/27.74 | | (9) all_63_12 = e1
% 177.30/27.74 | |
% 177.30/27.74 | | COMBINE_EQS: (3), (9) imply:
% 177.30/27.74 | | (10) all_61_12 = e1
% 177.30/27.74 | |
% 177.30/27.74 | | REDUCE: (8), (10) imply:
% 177.30/27.74 | | (11) $false
% 177.30/27.74 | |
% 177.30/27.74 | | CLOSE: (11) is inconsistent.
% 177.30/27.74 | |
% 177.30/27.74 | Case 2:
% 177.30/27.74 | |
% 177.30/27.74 | | (12) all_63_12 = e0
% 177.30/27.74 | |
% 177.30/27.74 | | COMBINE_EQS: (3), (12) imply:
% 177.30/27.74 | | (13) all_61_12 = e0
% 177.30/27.74 | |
% 177.30/27.74 | | REDUCE: (2), (13) imply:
% 177.30/27.74 | | (14) ~ (all_61_4 = e0)
% 177.30/27.74 | |
% 177.30/27.74 | | REF_CLOSE: (1), (4), (5), (6), (14) are inconsistent by sub-proof #485.
% 177.30/27.74 | |
% 177.30/27.74 | End of split
% 177.30/27.74 |
% 177.30/27.74 End of proof
% 177.30/27.74
% 177.30/27.74 Sub-proof #108 shows that the following formulas are inconsistent:
% 177.30/27.74 ----------------------------------------------------------------
% 177.30/27.74 (1) op(e2, e0) = all_20_1
% 177.30/27.74 (2) op(e1, all_20_1) = all_65_67
% 177.30/27.74 (3) ~ (all_20_1 = e2)
% 177.30/27.74 (4) ~ (all_52_0 = all_52_1)
% 177.30/27.74 (5) all_56_2 = e3 | all_56_2 = e2 | all_56_2 = e1 | all_56_2 = e0
% 177.30/27.74 (6) all_56_2 = all_52_2
% 177.30/27.74 (7) op(e1, e1) = e0
% 177.30/27.74 (8) ~ (all_52_1 = all_52_3)
% 177.30/27.74 (9) ~ (all_52_0 = all_52_3)
% 177.30/27.74 (10) all_58_0 = all_52_0
% 177.30/27.74 (11) all_56_1 = e3 | all_56_1 = e2 | all_56_1 = e1 | all_56_1 = e0
% 177.30/27.74 (12) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 177.30/27.74 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 177.30/27.74 (13) ~ (all_52_2 = e0)
% 177.30/27.74 (14) op(e2, unit) = e2
% 177.30/27.74 (15) ~ (all_61_13 = e2)
% 177.30/27.74 (16) op(e1, e0) = all_8_1
% 177.30/27.74 (17) op(e2, e2) = e1
% 177.30/27.74 (18) ~ (all_52_1 = all_52_2)
% 177.30/27.74 (19) ~ (all_20_1 = e1)
% 177.30/27.74 (20) all_56_3 = e3 | all_56_3 = e2 | all_56_3 = e1 | all_56_3 = e0
% 177.30/27.74 (21) all_56_1 = all_52_1
% 177.30/27.74 (22) ~ (all_52_2 = e2)
% 177.30/27.74 (23) op(e2, all_52_1) = unit
% 177.30/27.74 (24) all_58_2 = all_52_2
% 177.30/27.74 (25) ~ (all_58_1 = e0) | all_58_3 = e2
% 177.30/27.74 (26) op(e2, e0) = all_61_13
% 177.30/27.74 (27) unit = e2 | unit = e1 | unit = e0
% 177.30/27.74 (28) all_56_3 = all_52_3
% 177.30/27.74 (29) all_58_1 = all_52_1
% 177.30/27.74 (30) op(e2, all_20_1) = all_8_1
% 177.30/27.74 (31) op(e1, unit) = e1
% 177.30/27.74 (32) ~ (all_58_2 = e3) | all_58_0 = e1
% 177.30/27.74 (33) op(e1, all_52_2) = unit
% 177.30/27.74 (34) op(e0, e0) = e2
% 177.30/27.74 (35) op(e0, all_52_3) = unit
% 177.30/27.74 (36) ~ (all_52_2 = all_52_3)
% 177.30/27.74
% 177.30/27.74 Begin of proof
% 177.30/27.74 |
% 177.30/27.74 | BETA: splitting (25) gives:
% 177.30/27.74 |
% 177.30/27.74 | Case 1:
% 177.30/27.74 | |
% 177.30/27.74 | | (37) ~ (all_58_1 = e0)
% 177.30/27.74 | |
% 177.30/27.74 | | REDUCE: (29), (37) imply:
% 177.30/27.74 | | (38) ~ (all_52_1 = e0)
% 177.30/27.74 | |
% 177.30/27.74 | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (10), (11), (12), (13), (14), (15),
% 177.30/27.74 | | (17), (18), (20), (21), (22), (23), (24), (26), (28), (32), (33),
% 177.30/27.74 | | (34), (35), (36), (38) are inconsistent by sub-proof #109.
% 177.30/27.74 | |
% 177.30/27.74 | Case 2:
% 177.30/27.74 | |
% 177.30/27.74 | | (39) all_58_1 = e0
% 177.30/27.74 | |
% 177.30/27.74 | | COMBINE_EQS: (29), (39) imply:
% 177.30/27.74 | | (40) all_52_1 = e0
% 177.30/27.74 | |
% 177.30/27.74 | | SIMP: (40) implies:
% 177.30/27.74 | | (41) all_52_1 = e0
% 177.30/27.74 | |
% 177.30/27.74 | | REDUCE: (23), (41) imply:
% 177.30/27.75 | | (42) op(e2, e0) = unit
% 177.30/27.75 | |
% 177.30/27.75 | | GROUND_INST: instantiating (12) with all_20_1, unit, e0, e2, simplifying
% 177.30/27.75 | | with (1), (42) gives:
% 177.30/27.75 | | (43) all_20_1 = unit
% 177.30/27.75 | |
% 177.30/27.75 | | REDUCE: (3), (43) imply:
% 177.30/27.75 | | (44) ~ (unit = e2)
% 177.30/27.75 | |
% 177.30/27.75 | | REDUCE: (19), (43) imply:
% 177.30/27.75 | | (45) ~ (unit = e1)
% 177.30/27.75 | |
% 177.30/27.75 | | REDUCE: (30), (43) imply:
% 177.30/27.75 | | (46) op(e2, unit) = all_8_1
% 177.30/27.75 | |
% 177.30/27.75 | | REDUCE: (2), (43) imply:
% 177.30/27.75 | | (47) op(e1, unit) = all_65_67
% 177.30/27.75 | |
% 177.30/27.75 | | REF_CLOSE: (12), (14), (16), (27), (31), (42), (44), (45), (46), (47) are
% 177.30/27.75 | | inconsistent by sub-proof #129.
% 177.30/27.75 | |
% 177.30/27.75 | End of split
% 177.30/27.75 |
% 177.30/27.75 End of proof
% 177.30/27.75
% 177.30/27.75 Sub-proof #109 shows that the following formulas are inconsistent:
% 177.30/27.75 ----------------------------------------------------------------
% 177.30/27.75 (1) ~ (all_52_0 = all_52_1)
% 177.30/27.75 (2) all_56_2 = e3 | all_56_2 = e2 | all_56_2 = e1 | all_56_2 = e0
% 177.30/27.75 (3) all_56_2 = all_52_2
% 177.30/27.75 (4) op(e1, e1) = e0
% 177.30/27.75 (5) ~ (all_52_1 = all_52_3)
% 177.30/27.75 (6) ~ (all_52_0 = all_52_3)
% 177.30/27.75 (7) all_58_0 = all_52_0
% 177.30/27.75 (8) all_56_1 = e3 | all_56_1 = e2 | all_56_1 = e1 | all_56_1 = e0
% 177.30/27.75 (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 177.30/27.75 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 177.30/27.75 (10) ~ (all_52_2 = e0)
% 177.30/27.75 (11) op(e2, unit) = e2
% 177.30/27.75 (12) ~ (all_61_13 = e2)
% 177.30/27.75 (13) op(e2, e2) = e1
% 177.30/27.75 (14) ~ (all_52_1 = all_52_2)
% 177.30/27.75 (15) all_56_3 = e3 | all_56_3 = e2 | all_56_3 = e1 | all_56_3 = e0
% 177.30/27.75 (16) all_56_1 = all_52_1
% 177.30/27.75 (17) ~ (all_52_2 = e2)
% 177.30/27.75 (18) op(e2, all_52_1) = unit
% 177.30/27.75 (19) all_58_2 = all_52_2
% 177.30/27.75 (20) op(e2, e0) = all_61_13
% 177.30/27.75 (21) all_56_3 = all_52_3
% 177.30/27.75 (22) ~ (all_58_2 = e3) | all_58_0 = e1
% 177.30/27.75 (23) op(e1, all_52_2) = unit
% 177.30/27.75 (24) op(e0, e0) = e2
% 177.30/27.75 (25) op(e0, all_52_3) = unit
% 177.30/27.75 (26) ~ (all_52_2 = all_52_3)
% 177.30/27.75 (27) ~ (all_52_1 = e0)
% 177.30/27.75
% 177.30/27.75 Begin of proof
% 177.30/27.75 |
% 177.30/27.75 | BETA: splitting (22) gives:
% 177.30/27.75 |
% 177.30/27.75 | Case 1:
% 177.30/27.75 | |
% 177.30/27.75 | | (28) ~ (all_58_2 = e3)
% 177.30/27.75 | |
% 177.30/27.75 | | REDUCE: (19), (28) imply:
% 177.30/27.75 | | (29) ~ (all_52_2 = e3)
% 177.30/27.75 | |
% 177.30/27.75 | | REF_CLOSE: (2), (3), (4), (9), (10), (11), (12), (17), (20), (23), (29) are
% 177.30/27.75 | | inconsistent by sub-proof #203.
% 177.30/27.75 | |
% 177.30/27.75 | Case 2:
% 177.30/27.75 | |
% 177.30/27.75 | | (30) all_58_2 = e3
% 177.30/27.75 | | (31) all_58_0 = e1
% 177.30/27.75 | |
% 177.30/27.75 | | COMBINE_EQS: (7), (31) imply:
% 177.30/27.75 | | (32) all_52_0 = e1
% 177.30/27.75 | |
% 177.30/27.75 | | SIMP: (32) implies:
% 177.30/27.75 | | (33) all_52_0 = e1
% 177.30/27.75 | |
% 177.30/27.75 | | COMBINE_EQS: (19), (30) imply:
% 177.30/27.75 | | (34) all_52_2 = e3
% 177.30/27.75 | |
% 177.30/27.75 | | REDUCE: (1), (33) imply:
% 177.30/27.75 | | (35) ~ (all_52_1 = e1)
% 177.30/27.75 | |
% 177.30/27.75 | | SIMP: (35) implies:
% 177.30/27.75 | | (36) ~ (all_52_1 = e1)
% 177.30/27.75 | |
% 177.30/27.75 | | REDUCE: (6), (33) imply:
% 177.30/27.75 | | (37) ~ (all_52_3 = e1)
% 177.30/27.75 | |
% 177.30/27.75 | | SIMP: (37) implies:
% 177.30/27.75 | | (38) ~ (all_52_3 = e1)
% 177.30/27.75 | |
% 177.30/27.75 | | REDUCE: (14), (34) imply:
% 177.30/27.75 | | (39) ~ (all_52_1 = e3)
% 177.30/27.75 | |
% 177.30/27.75 | | REDUCE: (26), (34) imply:
% 177.30/27.75 | | (40) ~ (all_52_3 = e3)
% 177.30/27.75 | |
% 177.30/27.75 | | SIMP: (40) implies:
% 177.30/27.75 | | (41) ~ (all_52_3 = e3)
% 177.30/27.75 | |
% 177.30/27.75 | | REF_CLOSE: (5), (8), (9), (13), (15), (16), (18), (21), (24), (25), (27),
% 177.30/27.75 | | (36), (38), (39), (41) are inconsistent by sub-proof #308.
% 177.30/27.75 | |
% 177.30/27.75 | End of split
% 177.30/27.75 |
% 177.30/27.75 End of proof
% 177.30/27.75
% 177.30/27.75 Sub-proof #110 shows that the following formulas are inconsistent:
% 177.30/27.75 ----------------------------------------------------------------
% 177.30/27.75 (1) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 177.30/27.75 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 177.30/27.75 (2) op(e1, e0) = all_8_1
% 177.30/27.75 (3) all_58_2 = e0
% 177.30/27.75 (4) op(unit, e1) = e1
% 177.30/27.75 (5) op(all_8_1, e1) = e3
% 177.30/27.75 (6) all_58_2 = all_52_2
% 177.30/27.75 (7) op(e1, all_52_2) = unit
% 177.30/27.75 (8) ~ (e3 = e1)
% 177.30/27.75
% 177.30/27.75 Begin of proof
% 177.30/27.75 |
% 177.30/27.75 | COMBINE_EQS: (3), (6) imply:
% 177.30/27.75 | (9) all_52_2 = e0
% 177.30/27.75 |
% 177.30/27.75 | SIMP: (9) implies:
% 177.30/27.75 | (10) all_52_2 = e0
% 177.30/27.75 |
% 177.30/27.75 | REDUCE: (7), (10) imply:
% 177.30/27.75 | (11) op(e1, e0) = unit
% 177.30/27.75 |
% 177.30/27.75 | REF_CLOSE: (1), (2), (4), (5), (8), (11) are inconsistent by sub-proof #170.
% 177.30/27.75 |
% 177.30/27.75 End of proof
% 177.30/27.75
% 177.30/27.75 Sub-proof #111 shows that the following formulas are inconsistent:
% 177.30/27.75 ----------------------------------------------------------------
% 177.30/27.75 (1) op(e0, e0) = e3
% 177.30/27.75 (2) ~ (all_52_3 = e3)
% 177.30/27.75 (3) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 177.30/27.75 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 177.30/27.75 (4) ~ (all_61_4 = e0)
% 177.30/27.75 (5) ~ (all_58_3 = e2) | all_58_1 = e0
% 177.30/27.75 (6) all_56_3 = e3 | all_56_3 = e2 | all_56_3 = e1 | all_56_3 = e0
% 177.30/27.75 (7) all_58_3 = all_52_3
% 177.30/27.75 (8) op(e2, all_52_1) = unit
% 177.30/27.75 (9) op(e2, e0) = all_61_13
% 177.30/27.75 (10) ~ (all_52_3 = e1)
% 177.30/27.75 (11) all_56_3 = all_52_3
% 177.30/27.75 (12) all_58_1 = all_52_1
% 177.30/27.75 (13) op(unit, e0) = e0
% 177.30/27.75 (14) op(all_61_13, e0) = all_61_4
% 177.30/27.75 (15) ~ (unit = e3)
% 177.30/27.75 (16) op(e0, all_52_3) = unit
% 177.30/27.75
% 177.30/27.75 Begin of proof
% 177.30/27.75 |
% 177.30/27.75 | BETA: splitting (5) gives:
% 177.30/27.75 |
% 177.30/27.75 | Case 1:
% 177.30/27.75 | |
% 177.30/27.75 | | (17) ~ (all_58_3 = e2)
% 177.30/27.75 | |
% 177.30/27.75 | | REDUCE: (7), (17) imply:
% 177.30/27.75 | | (18) ~ (all_52_3 = e2)
% 177.30/27.75 | |
% 177.30/27.75 | | REF_CLOSE: (1), (2), (3), (6), (10), (11), (15), (16), (18) are inconsistent
% 177.30/27.75 | | by sub-proof #439.
% 177.30/27.75 | |
% 177.30/27.75 | Case 2:
% 177.30/27.75 | |
% 177.30/27.75 | | (19) all_58_1 = e0
% 177.30/27.75 | |
% 177.30/27.75 | | COMBINE_EQS: (12), (19) imply:
% 177.30/27.75 | | (20) all_52_1 = e0
% 177.30/27.75 | |
% 177.30/27.75 | | SIMP: (20) implies:
% 177.30/27.75 | | (21) all_52_1 = e0
% 177.30/27.75 | |
% 177.30/27.75 | | REDUCE: (8), (21) imply:
% 177.30/27.75 | | (22) op(e2, e0) = unit
% 177.30/27.75 | |
% 177.30/27.75 | | REF_CLOSE: (3), (4), (9), (13), (14), (22) are inconsistent by sub-proof
% 177.30/27.75 | | #112.
% 177.30/27.75 | |
% 177.30/27.75 | End of split
% 177.30/27.75 |
% 177.30/27.75 End of proof
% 177.30/27.75
% 177.30/27.75 Sub-proof #112 shows that the following formulas are inconsistent:
% 177.30/27.75 ----------------------------------------------------------------
% 177.30/27.75 (1) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 177.30/27.75 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 177.30/27.75 (2) ~ (all_61_4 = e0)
% 177.30/27.75 (3) op(e2, e0) = all_61_13
% 177.30/27.75 (4) op(unit, e0) = e0
% 177.30/27.75 (5) op(all_61_13, e0) = all_61_4
% 177.30/27.75 (6) op(e2, e0) = unit
% 177.30/27.75
% 177.30/27.75 Begin of proof
% 177.30/27.75 |
% 177.30/27.75 | GROUND_INST: instantiating (1) with all_61_13, unit, e0, e2, simplifying with
% 177.30/27.75 | (3), (6) gives:
% 177.30/27.75 | (7) all_61_13 = unit
% 177.30/27.75 |
% 177.30/27.75 | REDUCE: (5), (7) imply:
% 177.30/27.75 | (8) op(unit, e0) = all_61_4
% 177.30/27.75 |
% 177.30/27.75 | GROUND_INST: instantiating (1) with e0, all_61_4, e0, unit, simplifying with
% 177.30/27.75 | (4), (8) gives:
% 177.30/27.75 | (9) all_61_4 = e0
% 177.30/27.75 |
% 177.30/27.75 | REDUCE: (2), (9) imply:
% 177.30/27.75 | (10) $false
% 177.30/27.75 |
% 177.30/27.75 | CLOSE: (10) is inconsistent.
% 177.30/27.75 |
% 177.30/27.75 End of proof
% 177.30/27.75
% 177.30/27.75 Sub-proof #113 shows that the following formulas are inconsistent:
% 177.30/27.75 ----------------------------------------------------------------
% 177.30/27.75 (1) ~ (all_61_8 = e0)
% 177.30/27.75 (2) ~ (all_61_8 = e2)
% 177.30/27.75 (3) ~ (all_8_1 = e3)
% 177.30/27.75 (4) all_63_8 = all_61_8
% 177.30/27.75 (5) all_63_14 = all_8_1
% 177.30/27.75 (6) ~ (all_61_8 = all_8_1)
% 177.30/27.75 (7) ~ (all_61_8 = e3)
% 177.30/27.75 (8) ~ (all_8_1 = e2)
% 177.30/27.75 (9) all_63_14 = e3 | all_63_14 = e2 | all_63_14 = e1 | all_63_14 = e0
% 177.30/27.75 (10) all_63_8 = e3 | all_63_8 = e2 | all_63_8 = e1 | all_63_8 = e0
% 177.30/27.75 (11) ~ (all_8_1 = e0)
% 177.30/27.75
% 177.30/27.75 Begin of proof
% 177.30/27.75 |
% 177.30/27.75 | BETA: splitting (10) gives:
% 177.30/27.75 |
% 177.30/27.75 | Case 1:
% 177.30/27.75 | |
% 177.30/27.75 | | (12) all_63_8 = e3
% 177.30/27.75 | |
% 177.30/27.75 | | REF_CLOSE: (4), (7), (12) are inconsistent by sub-proof #118.
% 177.30/27.75 | |
% 177.30/27.75 | Case 2:
% 177.30/27.75 | |
% 177.30/27.75 | | (13) all_63_8 = e2 | all_63_8 = e1 | all_63_8 = e0
% 177.30/27.75 | |
% 177.30/27.75 | | BETA: splitting (13) gives:
% 177.30/27.75 | |
% 177.30/27.75 | | Case 1:
% 177.30/27.75 | | |
% 177.30/27.75 | | | (14) all_63_8 = e2
% 177.30/27.75 | | |
% 177.30/27.75 | | | REF_CLOSE: (2), (4), (14) are inconsistent by sub-proof #117.
% 177.30/27.75 | | |
% 177.30/27.75 | | Case 2:
% 177.30/27.75 | | |
% 177.30/27.75 | | | (15) all_63_8 = e1 | all_63_8 = e0
% 177.30/27.75 | | |
% 177.30/27.75 | | | REF_CLOSE: (1), (3), (4), (5), (6), (8), (9), (11), (15) are inconsistent
% 177.30/27.75 | | | by sub-proof #115.
% 177.30/27.75 | | |
% 177.30/27.75 | | End of split
% 177.30/27.75 | |
% 177.30/27.75 | End of split
% 177.30/27.75 |
% 177.30/27.75 End of proof
% 177.30/27.75
% 177.30/27.75 Sub-proof #114 shows that the following formulas are inconsistent:
% 177.30/27.75 ----------------------------------------------------------------
% 177.30/27.75 (1) all_63_7 = all_61_13
% 177.30/27.75 (2) all_63_7 = e1
% 177.30/27.75 (3) ~ (all_61_13 = e1)
% 177.30/27.75
% 177.30/27.75 Begin of proof
% 177.30/27.75 |
% 177.30/27.75 | COMBINE_EQS: (1), (2) imply:
% 177.30/27.75 | (4) all_61_13 = e1
% 177.30/27.75 |
% 177.30/27.75 | SIMP: (4) implies:
% 177.30/27.75 | (5) all_61_13 = e1
% 177.30/27.75 |
% 177.30/27.75 | REDUCE: (3), (5) imply:
% 177.30/27.75 | (6) $false
% 177.30/27.75 |
% 177.30/27.75 | CLOSE: (6) is inconsistent.
% 177.30/27.75 |
% 177.30/27.75 End of proof
% 177.30/27.75
% 177.30/27.75 Sub-proof #115 shows that the following formulas are inconsistent:
% 177.30/27.75 ----------------------------------------------------------------
% 177.30/27.75 (1) all_63_8 = e1 | all_63_8 = e0
% 177.30/27.75 (2) ~ (all_61_8 = e0)
% 177.30/27.75 (3) ~ (all_8_1 = e3)
% 177.30/27.75 (4) all_63_8 = all_61_8
% 177.30/27.75 (5) all_63_14 = all_8_1
% 177.30/27.75 (6) ~ (all_61_8 = all_8_1)
% 177.30/27.75 (7) ~ (all_8_1 = e2)
% 177.30/27.75 (8) all_63_14 = e3 | all_63_14 = e2 | all_63_14 = e1 | all_63_14 = e0
% 177.30/27.75 (9) ~ (all_8_1 = e0)
% 177.30/27.75
% 177.30/27.75 Begin of proof
% 177.30/27.75 |
% 177.30/27.75 | BETA: splitting (1) gives:
% 177.30/27.75 |
% 177.30/27.75 | Case 1:
% 177.30/27.75 | |
% 177.30/27.75 | | (10) all_63_8 = e1
% 177.30/27.75 | |
% 177.30/27.75 | | COMBINE_EQS: (4), (10) imply:
% 177.30/27.75 | | (11) all_61_8 = e1
% 177.30/27.75 | |
% 177.30/27.75 | | SIMP: (11) implies:
% 177.30/27.75 | | (12) all_61_8 = e1
% 177.30/27.75 | |
% 177.30/27.75 | | REDUCE: (6), (12) imply:
% 177.30/27.75 | | (13) ~ (all_8_1 = e1)
% 177.30/27.75 | |
% 177.30/27.75 | | SIMP: (13) implies:
% 177.30/27.75 | | (14) ~ (all_8_1 = e1)
% 177.30/27.75 | |
% 177.30/27.75 | | REF_CLOSE: (3), (5), (7), (8), (9), (14) are inconsistent by sub-proof #150.
% 177.30/27.75 | |
% 177.30/27.75 | Case 2:
% 177.30/27.75 | |
% 177.30/27.75 | | (15) all_63_8 = e0
% 177.30/27.75 | |
% 177.30/27.75 | | REF_CLOSE: (2), (4), (15) are inconsistent by sub-proof #116.
% 177.30/27.75 | |
% 177.30/27.75 | End of split
% 177.30/27.75 |
% 177.30/27.75 End of proof
% 177.30/27.75
% 177.30/27.75 Sub-proof #116 shows that the following formulas are inconsistent:
% 177.30/27.75 ----------------------------------------------------------------
% 177.30/27.75 (1) all_63_8 = all_61_8
% 177.30/27.75 (2) all_63_8 = e0
% 177.30/27.75 (3) ~ (all_61_8 = e0)
% 177.30/27.75
% 177.30/27.75 Begin of proof
% 177.30/27.75 |
% 177.30/27.75 | COMBINE_EQS: (1), (2) imply:
% 177.30/27.75 | (4) all_61_8 = e0
% 177.30/27.75 |
% 177.30/27.75 | SIMP: (4) implies:
% 177.30/27.75 | (5) all_61_8 = e0
% 177.30/27.75 |
% 177.30/27.75 | REDUCE: (3), (5) imply:
% 177.30/27.75 | (6) $false
% 177.30/27.75 |
% 177.30/27.75 | CLOSE: (6) is inconsistent.
% 177.30/27.75 |
% 177.30/27.75 End of proof
% 177.30/27.75
% 177.30/27.75 Sub-proof #117 shows that the following formulas are inconsistent:
% 177.30/27.75 ----------------------------------------------------------------
% 177.30/27.75 (1) all_63_8 = all_61_8
% 177.30/27.75 (2) all_63_8 = e2
% 177.30/27.75 (3) ~ (all_61_8 = e2)
% 177.30/27.75
% 177.30/27.75 Begin of proof
% 177.30/27.75 |
% 177.30/27.75 | COMBINE_EQS: (1), (2) imply:
% 177.30/27.75 | (4) all_61_8 = e2
% 177.30/27.75 |
% 177.30/27.75 | SIMP: (4) implies:
% 177.30/27.75 | (5) all_61_8 = e2
% 177.30/27.75 |
% 177.30/27.75 | REDUCE: (3), (5) imply:
% 177.30/27.75 | (6) $false
% 177.30/27.75 |
% 177.30/27.75 | CLOSE: (6) is inconsistent.
% 177.30/27.75 |
% 177.30/27.75 End of proof
% 177.30/27.75
% 177.30/27.75 Sub-proof #118 shows that the following formulas are inconsistent:
% 177.30/27.75 ----------------------------------------------------------------
% 177.30/27.75 (1) all_63_8 = all_61_8
% 177.30/27.75 (2) all_63_8 = e3
% 177.30/27.75 (3) ~ (all_61_8 = e3)
% 177.30/27.75
% 177.30/27.75 Begin of proof
% 177.30/27.75 |
% 177.30/27.75 | COMBINE_EQS: (1), (2) imply:
% 177.30/27.75 | (4) all_61_8 = e3
% 177.30/27.75 |
% 177.30/27.75 | SIMP: (4) implies:
% 177.30/27.75 | (5) all_61_8 = e3
% 177.30/27.75 |
% 177.30/27.75 | REDUCE: (3), (5) imply:
% 177.30/27.75 | (6) $false
% 177.30/27.75 |
% 177.30/27.75 | CLOSE: (6) is inconsistent.
% 177.30/27.75 |
% 177.30/27.75 End of proof
% 177.30/27.75
% 177.30/27.75 Sub-proof #119 shows that the following formulas are inconsistent:
% 177.30/27.75 ----------------------------------------------------------------
% 177.30/27.75 (1) all_56_2 = e3 | all_56_2 = e2 | all_56_2 = e1 | all_56_2 = e0
% 177.30/27.75 (2) all_56_2 = all_52_2
% 177.30/27.75 (3) op(e1, e1) = e0
% 177.30/27.75 (4) op(e3, all_52_0) = unit
% 177.30/27.75 (5) all_58_0 = all_52_0
% 177.30/27.75 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 177.30/27.75 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 177.30/27.75 (7) ~ (all_52_2 = e0)
% 177.30/27.75 (8) ~ (all_36_1 = e1)
% 177.30/27.75 (9) op(e3, e1) = all_61_8
% 177.30/27.75 (10) op(unit, e1) = e1
% 177.30/27.75 (11) all_58_2 = all_52_2
% 177.30/27.75 (12) op(all_61_8, e1) = all_36_1
% 177.30/27.75 (13) op(e0, e0) = e1
% 177.30/27.75 (14) ~ (all_58_2 = e3) | all_58_0 = e1
% 177.30/27.75 (15) op(e1, all_52_2) = unit
% 177.30/27.75 (16) op(e0, unit) = e0
% 177.30/27.75 (17) ~ (all_58_2 = e2)
% 177.30/27.75
% 177.30/27.75 Begin of proof
% 177.30/27.75 |
% 177.30/27.75 | REDUCE: (11), (17) imply:
% 177.30/27.75 | (18) ~ (all_52_2 = e2)
% 177.30/27.75 |
% 177.30/27.75 | BETA: splitting (14) gives:
% 177.30/27.75 |
% 177.30/27.75 | Case 1:
% 177.30/27.75 | |
% 177.30/27.75 | | (19) ~ (all_58_2 = e3)
% 177.30/27.75 | |
% 177.30/27.75 | | REDUCE: (11), (19) imply:
% 177.30/27.75 | | (20) ~ (all_52_2 = e3)
% 177.30/27.75 | |
% 177.30/27.75 | | REF_CLOSE: (1), (2), (3), (6), (7), (13), (15), (16), (18), (20) are
% 177.30/27.75 | | inconsistent by sub-proof #194.
% 177.30/27.75 | |
% 177.30/27.75 | Case 2:
% 177.30/27.75 | |
% 177.30/27.75 | | (21) all_58_0 = e1
% 177.30/27.75 | |
% 177.30/27.75 | | REF_CLOSE: (4), (5), (6), (8), (9), (10), (12), (21) are inconsistent by
% 177.30/27.75 | | sub-proof #149.
% 177.30/27.75 | |
% 177.30/27.75 | End of split
% 177.30/27.75 |
% 177.30/27.75 End of proof
% 177.30/27.75
% 177.30/27.75 Sub-proof #120 shows that the following formulas are inconsistent:
% 177.30/27.75 ----------------------------------------------------------------
% 177.30/27.75 (1) op(e3, all_52_0) = unit
% 177.30/27.75 (2) ~ (all_52_0 = all_52_3)
% 177.30/27.75 (3) all_58_0 = all_52_0
% 177.30/27.75 (4) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 177.30/27.75 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 177.30/27.75 (5) op(all_36_1, e3) = e0
% 177.30/27.75 (6) op(e3, e0) = all_36_1
% 177.30/27.75 (7) op(unit, e3) = e3
% 177.30/27.75 (8) all_58_0 = e0
% 177.30/27.75 (9) all_58_3 = all_52_3
% 177.30/27.75 (10) all_58_3 = e3
% 177.30/27.75
% 177.30/27.75 Begin of proof
% 177.30/27.75 |
% 177.30/27.75 | COMBINE_EQS: (3), (8) imply:
% 177.30/27.75 | (11) all_52_0 = e0
% 177.30/27.75 |
% 177.30/27.75 | SIMP: (11) implies:
% 177.30/27.75 | (12) all_52_0 = e0
% 177.30/27.75 |
% 177.30/27.75 | COMBINE_EQS: (9), (10) imply:
% 177.30/27.75 | (13) all_52_3 = e3
% 177.30/27.75 |
% 177.30/27.75 | SIMP: (13) implies:
% 177.30/27.75 | (14) all_52_3 = e3
% 177.30/27.75 |
% 177.30/27.75 | REF_CLOSE: (1), (2), (4), (5), (6), (7), (12), (14) are inconsistent by
% 177.30/27.75 | sub-proof #405.
% 177.30/27.75 |
% 177.30/27.75 End of proof
% 177.30/27.75
% 177.30/27.75 Sub-proof #121 shows that the following formulas are inconsistent:
% 177.30/27.75 ----------------------------------------------------------------
% 177.30/27.75 (1) ~ (all_40_1 = e0)
% 177.30/27.75 (2) op(e3, all_52_0) = unit
% 177.30/27.75 (3) all_58_0 = all_52_0
% 177.30/27.75 (4) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 177.30/27.75 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 177.30/27.75 (5) all_58_0 = e0
% 177.30/27.75 (6) op(e3, e0) = all_61_12
% 177.30/27.75 (7) op(unit, e0) = e0
% 177.30/27.75 (8) op(all_61_12, e0) = all_40_1
% 177.30/27.75
% 177.30/27.75 Begin of proof
% 177.30/27.75 |
% 177.30/27.75 | COMBINE_EQS: (3), (5) imply:
% 177.30/27.75 | (9) all_52_0 = e0
% 177.30/27.75 |
% 177.30/27.75 | SIMP: (9) implies:
% 177.30/27.75 | (10) all_52_0 = e0
% 177.30/27.75 |
% 177.30/27.75 | REDUCE: (2), (10) imply:
% 177.30/27.75 | (11) op(e3, e0) = unit
% 177.30/27.75 |
% 177.30/27.75 | REF_CLOSE: (1), (4), (6), (7), (8), (11) are inconsistent by sub-proof #282.
% 177.30/27.75 |
% 177.30/27.75 End of proof
% 177.30/27.75
% 177.30/27.75 Sub-proof #122 shows that the following formulas are inconsistent:
% 177.30/27.75 ----------------------------------------------------------------
% 177.30/27.75 (1) ~ (all_52_0 = all_52_1)
% 177.30/27.75 (2) op(e1, e1) = e0
% 177.30/27.75 (3) all_58_0 = all_52_0
% 177.30/27.75 (4) all_56_1 = e3 | all_56_1 = e2 | all_56_1 = e1 | all_56_1 = e0
% 177.30/27.75 (5) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 177.30/27.75 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 177.30/27.75 (6) op(e1, e0) = all_8_1
% 177.30/27.75 (7) op(e2, e2) = e1
% 177.30/27.75 (8) ~ (all_52_0 = e0)
% 177.30/27.75 (9) op(e2, all_61_13) = all_8_1
% 177.30/27.75 (10) ~ (all_52_1 = all_52_2)
% 177.30/27.75 (11) op(unit, e1) = e1
% 177.30/27.75 (12) all_56_1 = all_52_1
% 177.30/27.75 (13) op(e2, all_52_1) = unit
% 177.30/27.75 (14) all_58_2 = all_52_2
% 177.30/27.75 (15) ~ (all_58_1 = e0) | all_58_3 = e2
% 177.30/27.75 (16) op(e2, e0) = all_61_13
% 177.30/27.75 (17) unit = e2 | unit = e1 | unit = e0
% 177.30/27.75 (18) ~ (all_61_13 = all_8_1)
% 177.30/27.75 (19) op(e1, all_61_13) = all_65_67
% 177.30/27.75 (20) all_58_1 = all_52_1
% 177.30/27.75 (21) ~ (all_61_13 = e1)
% 177.30/27.75 (22) op(e1, unit) = e1
% 177.30/27.75 (23) op(all_61_13, e1) = all_65_67
% 177.30/27.75 (24) op(all_61_13, e2) = all_8_1
% 177.30/27.75 (25) all_58_0 = e1
% 177.30/27.75 (26) all_58_2 = e3
% 177.30/27.75 (27) op(unit, e2) = e2
% 177.30/27.75
% 177.30/27.75 Begin of proof
% 177.30/27.75 |
% 177.30/27.75 | COMBINE_EQS: (3), (25) imply:
% 177.30/27.75 | (28) all_52_0 = e1
% 177.30/27.75 |
% 177.30/27.75 | SIMP: (28) implies:
% 177.30/27.75 | (29) all_52_0 = e1
% 177.30/27.75 |
% 177.30/27.75 | COMBINE_EQS: (14), (26) imply:
% 177.30/27.75 | (30) all_52_2 = e3
% 177.30/27.75 |
% 177.30/27.75 | SIMP: (30) implies:
% 177.30/27.75 | (31) all_52_2 = e3
% 177.30/27.75 |
% 177.30/27.75 | REDUCE: (1), (29) imply:
% 177.30/27.75 | (32) ~ (all_52_1 = e1)
% 177.30/27.75 |
% 177.30/27.75 | SIMP: (32) implies:
% 177.30/27.75 | (33) ~ (all_52_1 = e1)
% 177.30/27.75 |
% 177.30/27.75 | REDUCE: (8), (29) imply:
% 177.30/27.75 | (34) ~ (e1 = e0)
% 177.30/27.75 |
% 177.30/27.75 | REDUCE: (10), (31) imply:
% 177.30/27.75 | (35) ~ (all_52_1 = e3)
% 177.30/27.75 |
% 177.30/27.75 | REF_CLOSE: (2), (4), (5), (6), (7), (9), (11), (12), (13), (15), (16), (17),
% 177.30/27.75 | (18), (19), (20), (21), (22), (23), (24), (27), (33), (34), (35)
% 177.30/27.75 | are inconsistent by sub-proof #127.
% 177.30/27.75 |
% 177.30/27.75 End of proof
% 177.30/27.75
% 177.30/27.75 Sub-proof #123 shows that the following formulas are inconsistent:
% 177.30/27.75 ----------------------------------------------------------------
% 177.30/27.75 (1) all_56_0 = e3 | all_56_0 = e2 | all_56_0 = e1 | all_56_0 = e0
% 177.30/27.75 (2) op(e1, e1) = e0
% 177.30/27.75 (3) op(e3, all_52_0) = unit
% 177.30/27.75 (4) all_58_0 = all_52_0
% 177.30/27.75 (5) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 177.30/27.75 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 177.30/27.75 (6) ~ (all_52_0 = e0)
% 177.30/27.75 (7) ~ (all_52_2 = e3)
% 177.30/27.75 (8) ~ (all_52_0 = e2)
% 177.30/27.75 (9) ~ (e1 = e0)
% 177.30/27.75 (10) all_58_2 = all_52_2
% 177.30/27.75 (11) op(e3, e3) = e1
% 177.30/27.75 (12) op(e1, unit) = e1
% 177.30/27.75 (13) all_56_0 = all_52_0
% 177.30/27.75 (14) ~ (all_58_0 = e1) | all_58_2 = e3
% 177.30/27.75
% 177.30/27.75 Begin of proof
% 177.30/27.75 |
% 177.30/27.75 | BETA: splitting (14) gives:
% 177.30/27.75 |
% 177.30/27.75 | Case 1:
% 177.30/27.75 | |
% 177.30/27.75 | | (15) ~ (all_58_0 = e1)
% 177.30/27.75 | |
% 177.30/27.75 | | REDUCE: (4), (15) imply:
% 177.30/27.75 | | (16) ~ (all_52_0 = e1)
% 177.30/27.75 | |
% 177.30/27.75 | | BETA: splitting (1) gives:
% 177.30/27.75 | |
% 177.30/27.75 | | Case 1:
% 177.30/27.75 | | |
% 177.30/27.75 | | | (17) all_56_0 = e3
% 177.30/27.75 | | |
% 177.30/27.75 | | | COMBINE_EQS: (13), (17) imply:
% 177.30/27.75 | | | (18) all_52_0 = e3
% 177.30/27.75 | | |
% 177.30/27.75 | | | REDUCE: (3), (18) imply:
% 177.30/27.75 | | | (19) op(e3, e3) = unit
% 177.30/27.75 | | |
% 177.30/27.75 | | | GROUND_INST: instantiating (5) with e1, unit, e3, e3, simplifying with
% 177.30/27.75 | | | (11), (19) gives:
% 177.30/27.75 | | | (20) unit = e1
% 177.30/27.75 | | |
% 177.30/27.75 | | | REF_CLOSE: (2), (5), (9), (12), (20) are inconsistent by sub-proof #155.
% 177.30/27.75 | | |
% 177.30/27.75 | | Case 2:
% 177.30/27.75 | | |
% 177.30/27.75 | | | (21) all_56_0 = e2 | all_56_0 = e1 | all_56_0 = e0
% 177.30/27.75 | | |
% 177.30/27.75 | | | REF_CLOSE: (6), (8), (13), (16), (21) are inconsistent by sub-proof #512.
% 177.30/27.75 | | |
% 177.30/27.75 | | End of split
% 177.30/27.75 | |
% 177.30/27.75 | Case 2:
% 177.30/27.75 | |
% 177.30/27.75 | | (22) all_58_2 = e3
% 177.30/27.75 | |
% 177.30/27.75 | | COMBINE_EQS: (10), (22) imply:
% 177.30/27.75 | | (23) all_52_2 = e3
% 177.30/27.75 | |
% 177.30/27.75 | | REDUCE: (7), (23) imply:
% 177.30/27.75 | | (24) $false
% 177.30/27.75 | |
% 177.30/27.75 | | CLOSE: (24) is inconsistent.
% 177.30/27.75 | |
% 177.30/27.75 | End of split
% 177.30/27.75 |
% 177.30/27.75 End of proof
% 177.30/27.75
% 177.30/27.75 Sub-proof #124 shows that the following formulas are inconsistent:
% 177.30/27.75 ----------------------------------------------------------------
% 177.30/27.75 (1) ~ (all_61_4 = e2)
% 177.30/27.75 (2) ~ (all_40_1 = e0)
% 177.30/27.75 (3) all_63_8 = all_40_1
% 177.30/27.75 (4) all_63_7 = all_61_13
% 177.30/27.75 (5) all_63_2 = all_40_1
% 177.30/27.75 (6) ~ (all_61_13 = e2)
% 177.30/27.75 (7) ~ (all_61_4 = all_61_13)
% 177.30/27.75 (8) all_63_2 = e3 | all_63_2 = e2 | all_63_2 = e1 | all_63_2 = e0
% 177.30/27.75 (9) ~ (all_61_4 = e1)
% 177.30/27.75 (10) all_63_7 = e2 | all_63_7 = e1 | all_63_7 = e0
% 177.30/27.75 (11) all_63_1 = all_61_4
% 177.30/27.75 (12) ~ (all_40_1 = e1)
% 177.30/27.75 (13) ~ (all_61_13 = e1)
% 177.30/27.75 (14) ~ (all_61_4 = all_40_1)
% 177.30/27.75 (15) all_63_1 = e3 | all_63_1 = e2 | all_63_1 = e1 | all_63_1 = e0
% 177.30/27.75 (16) ~ (all_40_1 = e2)
% 177.30/27.75 (17) all_63_8 = e3 | all_63_8 = e2 | all_63_8 = e1 | all_63_8 = e0
% 177.30/27.75
% 177.30/27.75 Begin of proof
% 177.30/27.75 |
% 177.30/27.75 | BETA: splitting (10) gives:
% 177.30/27.75 |
% 177.30/27.75 | Case 1:
% 177.30/27.75 | |
% 177.30/27.75 | | (18) all_63_7 = e2
% 177.30/27.75 | |
% 177.30/27.75 | | COMBINE_EQS: (4), (18) imply:
% 177.30/27.75 | | (19) all_61_13 = e2
% 177.30/27.75 | |
% 177.30/27.75 | | REDUCE: (6), (19) imply:
% 177.30/27.75 | | (20) $false
% 177.30/27.75 | |
% 177.30/27.75 | | CLOSE: (20) is inconsistent.
% 177.30/27.75 | |
% 177.30/27.75 | Case 2:
% 177.30/27.75 | |
% 177.30/27.75 | | (21) all_63_7 = e1 | all_63_7 = e0
% 177.30/27.75 | |
% 177.30/27.75 | | BETA: splitting (8) gives:
% 177.30/27.75 | |
% 177.30/27.75 | | Case 1:
% 177.30/27.75 | | |
% 177.30/27.75 | | | (22) all_63_2 = e3
% 177.30/27.75 | | |
% 177.30/27.75 | | | COMBINE_EQS: (5), (22) imply:
% 177.30/27.75 | | | (23) all_40_1 = e3
% 177.30/27.75 | | |
% 177.30/27.75 | | | REDUCE: (14), (23) imply:
% 177.30/27.75 | | | (24) ~ (all_61_4 = e3)
% 177.30/27.75 | | |
% 177.30/27.75 | | | REF_CLOSE: (1), (4), (7), (9), (11), (13), (15), (21), (24) are
% 177.30/27.75 | | | inconsistent by sub-proof #126.
% 177.30/27.75 | | |
% 177.30/27.75 | | Case 2:
% 177.30/27.75 | | |
% 177.30/27.75 | | | (25) ~ (all_63_2 = e3)
% 177.30/27.75 | | |
% 177.30/27.75 | | | REDUCE: (5), (25) imply:
% 177.30/27.75 | | | (26) ~ (all_40_1 = e3)
% 177.30/27.75 | | |
% 177.30/27.75 | | | REF_CLOSE: (2), (3), (12), (16), (17), (26) are inconsistent by sub-proof
% 177.30/27.75 | | | #432.
% 177.30/27.75 | | |
% 177.30/27.75 | | End of split
% 177.30/27.75 | |
% 177.30/27.75 | End of split
% 177.30/27.75 |
% 177.30/27.75 End of proof
% 177.30/27.75
% 177.30/27.75 Sub-proof #125 shows that the following formulas are inconsistent:
% 177.30/27.75 ----------------------------------------------------------------
% 177.30/27.75 (1) all_63_6 = all_61_9
% 177.30/27.75 (2) all_63_6 = e2 | all_63_6 = e1 | all_63_6 = e0
% 177.30/27.75 (3) all_63_6 = all_12_1
% 177.30/27.75 (4) ~ (all_61_9 = e0)
% 177.30/27.75 (5) ~ (all_61_9 = e1)
% 177.30/27.75 (6) ~ (all_12_1 = e2)
% 177.30/27.75
% 177.30/27.75 Begin of proof
% 177.30/27.75 |
% 177.30/27.75 | BETA: splitting (2) gives:
% 177.30/27.75 |
% 177.30/27.75 | Case 1:
% 177.30/27.75 | |
% 177.30/27.75 | | (7) all_63_6 = e2
% 177.30/27.75 | |
% 177.30/27.75 | | COMBINE_EQS: (3), (7) imply:
% 177.30/27.75 | | (8) all_12_1 = e2
% 177.30/27.75 | |
% 177.30/27.75 | | REDUCE: (6), (8) imply:
% 177.30/27.75 | | (9) $false
% 177.30/27.75 | |
% 177.30/27.75 | | CLOSE: (9) is inconsistent.
% 177.30/27.75 | |
% 177.30/27.75 | Case 2:
% 177.30/27.75 | |
% 177.30/27.75 | | (10) all_63_6 = e1 | all_63_6 = e0
% 177.30/27.75 | |
% 177.30/27.75 | | REF_CLOSE: (1), (4), (5), (10) are inconsistent by sub-proof #408.
% 177.30/27.75 | |
% 177.30/27.75 | End of split
% 177.30/27.75 |
% 177.30/27.75 End of proof
% 177.30/27.75
% 177.30/27.75 Sub-proof #126 shows that the following formulas are inconsistent:
% 177.30/27.75 ----------------------------------------------------------------
% 177.30/27.75 (1) ~ (all_61_4 = e2)
% 177.30/27.75 (2) all_63_7 = all_61_13
% 177.30/27.75 (3) ~ (all_61_4 = all_61_13)
% 177.30/27.75 (4) ~ (all_61_4 = e1)
% 177.30/27.75 (5) all_63_1 = all_61_4
% 177.30/27.75 (6) ~ (all_61_4 = e3)
% 177.30/27.75 (7) ~ (all_61_13 = e1)
% 177.30/27.75 (8) all_63_7 = e1 | all_63_7 = e0
% 177.30/27.76 (9) all_63_1 = e3 | all_63_1 = e2 | all_63_1 = e1 | all_63_1 = e0
% 177.30/27.76
% 177.30/27.76 Begin of proof
% 177.30/27.76 |
% 177.30/27.76 | BETA: splitting (8) gives:
% 177.30/27.76 |
% 177.30/27.76 | Case 1:
% 177.30/27.76 | |
% 177.30/27.76 | | (10) all_63_7 = e1
% 177.30/27.76 | |
% 177.30/27.76 | | COMBINE_EQS: (2), (10) imply:
% 177.30/27.76 | | (11) all_61_13 = e1
% 177.30/27.76 | |
% 177.30/27.76 | | REDUCE: (7), (11) imply:
% 177.30/27.76 | | (12) $false
% 177.30/27.76 | |
% 177.30/27.76 | | CLOSE: (12) is inconsistent.
% 177.30/27.76 | |
% 177.30/27.76 | Case 2:
% 177.30/27.76 | |
% 177.30/27.76 | | (13) all_63_7 = e0
% 177.30/27.76 | |
% 177.30/27.76 | | COMBINE_EQS: (2), (13) imply:
% 177.30/27.76 | | (14) all_61_13 = e0
% 177.30/27.76 | |
% 177.30/27.76 | | REDUCE: (3), (14) imply:
% 177.30/27.76 | | (15) ~ (all_61_4 = e0)
% 177.30/27.76 | |
% 177.30/27.76 | | REF_CLOSE: (1), (4), (5), (6), (9), (15) are inconsistent by sub-proof #418.
% 177.30/27.76 | |
% 177.30/27.76 | End of split
% 177.30/27.76 |
% 177.30/27.76 End of proof
% 177.30/27.76
% 177.30/27.76 Sub-proof #127 shows that the following formulas are inconsistent:
% 177.30/27.76 ----------------------------------------------------------------
% 177.30/27.76 (1) op(e1, e1) = e0
% 177.30/27.76 (2) all_56_1 = e3 | all_56_1 = e2 | all_56_1 = e1 | all_56_1 = e0
% 177.30/27.76 (3) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 177.30/27.76 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 177.30/27.76 (4) ~ (all_52_1 = e3)
% 177.30/27.76 (5) op(e1, e0) = all_8_1
% 177.30/27.76 (6) op(e2, e2) = e1
% 177.30/27.76 (7) op(e2, all_61_13) = all_8_1
% 177.30/27.76 (8) op(unit, e1) = e1
% 177.30/27.76 (9) all_56_1 = all_52_1
% 177.30/27.76 (10) ~ (e1 = e0)
% 177.30/27.76 (11) op(e2, all_52_1) = unit
% 177.30/27.76 (12) ~ (all_58_1 = e0) | all_58_3 = e2
% 177.30/27.76 (13) op(e2, e0) = all_61_13
% 177.30/27.76 (14) unit = e2 | unit = e1 | unit = e0
% 177.30/27.76 (15) ~ (all_61_13 = all_8_1)
% 177.30/27.76 (16) op(e1, all_61_13) = all_65_67
% 177.30/27.76 (17) all_58_1 = all_52_1
% 177.30/27.76 (18) ~ (all_61_13 = e1)
% 177.30/27.76 (19) op(e1, unit) = e1
% 177.30/27.76 (20) ~ (all_52_1 = e1)
% 177.30/27.76 (21) op(all_61_13, e1) = all_65_67
% 177.30/27.76 (22) op(all_61_13, e2) = all_8_1
% 177.30/27.76 (23) op(unit, e2) = e2
% 177.30/27.76
% 177.30/27.76 Begin of proof
% 177.30/27.76 |
% 177.30/27.76 | BETA: splitting (12) gives:
% 177.30/27.76 |
% 177.30/27.76 | Case 1:
% 177.30/27.76 | |
% 177.30/27.76 | | (24) ~ (all_58_1 = e0)
% 177.30/27.76 | |
% 177.30/27.76 | | REDUCE: (17), (24) imply:
% 177.30/27.76 | | (25) ~ (all_52_1 = e0)
% 177.30/27.76 | |
% 177.30/27.76 | | BETA: splitting (2) gives:
% 177.30/27.76 | |
% 177.30/27.76 | | Case 1:
% 177.30/27.76 | | |
% 177.30/27.76 | | | (26) all_56_1 = e3
% 177.30/27.76 | | |
% 177.30/27.76 | | | COMBINE_EQS: (9), (26) imply:
% 177.30/27.76 | | | (27) all_52_1 = e3
% 177.30/27.76 | | |
% 177.30/27.76 | | | REDUCE: (4), (27) imply:
% 177.30/27.76 | | | (28) $false
% 177.30/27.76 | | |
% 177.30/27.76 | | | CLOSE: (28) is inconsistent.
% 177.30/27.76 | | |
% 177.30/27.76 | | Case 2:
% 177.30/27.76 | | |
% 177.30/27.76 | | | (29) all_56_1 = e2 | all_56_1 = e1 | all_56_1 = e0
% 177.30/27.76 | | |
% 177.30/27.76 | | | BETA: splitting (29) gives:
% 177.30/27.76 | | |
% 177.30/27.76 | | | Case 1:
% 177.30/27.76 | | | |
% 177.30/27.76 | | | | (30) all_56_1 = e2
% 177.30/27.76 | | | |
% 177.30/27.76 | | | | COMBINE_EQS: (9), (30) imply:
% 177.30/27.76 | | | | (31) all_52_1 = e2
% 177.30/27.76 | | | |
% 177.30/27.76 | | | | REDUCE: (11), (31) imply:
% 177.30/27.76 | | | | (32) op(e2, e2) = unit
% 177.30/27.76 | | | |
% 177.30/27.76 | | | | GROUND_INST: instantiating (3) with e1, unit, e2, e2, simplifying with
% 177.30/27.76 | | | | (6), (32) gives:
% 177.30/27.76 | | | | (33) unit = e1
% 177.30/27.76 | | | |
% 177.30/27.76 | | | | REF_CLOSE: (1), (3), (10), (19), (33) are inconsistent by sub-proof
% 177.30/27.76 | | | | #155.
% 177.30/27.76 | | | |
% 177.30/27.76 | | | Case 2:
% 177.30/27.76 | | | |
% 177.30/27.76 | | | | (34) all_56_1 = e1 | all_56_1 = e0
% 177.30/27.76 | | | |
% 177.30/27.76 | | | | REF_CLOSE: (9), (20), (25), (34) are inconsistent by sub-proof #454.
% 177.30/27.76 | | | |
% 177.30/27.76 | | | End of split
% 177.30/27.76 | | |
% 177.30/27.76 | | End of split
% 177.30/27.76 | |
% 177.30/27.76 | Case 2:
% 177.30/27.76 | |
% 177.30/27.76 | | (35) all_58_1 = e0
% 177.30/27.76 | |
% 177.30/27.76 | | REF_CLOSE: (3), (5), (7), (8), (11), (13), (14), (15), (16), (17), (18),
% 177.30/27.76 | | (21), (22), (23), (35) are inconsistent by sub-proof #128.
% 177.30/27.76 | |
% 177.30/27.76 | End of split
% 177.30/27.76 |
% 177.30/27.76 End of proof
% 177.30/27.76
% 177.30/27.76 Sub-proof #128 shows that the following formulas are inconsistent:
% 177.30/27.76 ----------------------------------------------------------------
% 177.30/27.76 (1) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 177.30/27.76 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 177.30/27.76 (2) all_58_1 = e0
% 177.30/27.76 (3) op(e1, e0) = all_8_1
% 177.30/27.76 (4) op(e2, all_61_13) = all_8_1
% 177.30/27.76 (5) op(unit, e1) = e1
% 177.30/27.76 (6) op(e2, all_52_1) = unit
% 177.30/27.76 (7) op(e2, e0) = all_61_13
% 177.30/27.76 (8) unit = e2 | unit = e1 | unit = e0
% 177.30/27.76 (9) ~ (all_61_13 = all_8_1)
% 177.30/27.76 (10) op(e1, all_61_13) = all_65_67
% 177.30/27.76 (11) all_58_1 = all_52_1
% 177.30/27.76 (12) ~ (all_61_13 = e1)
% 177.30/27.76 (13) op(all_61_13, e1) = all_65_67
% 177.30/27.76 (14) op(all_61_13, e2) = all_8_1
% 177.30/27.76 (15) op(unit, e2) = e2
% 177.30/27.76
% 177.30/27.76 Begin of proof
% 177.30/27.76 |
% 177.30/27.76 | COMBINE_EQS: (2), (11) imply:
% 177.30/27.76 | (16) all_52_1 = e0
% 177.30/27.76 |
% 177.30/27.76 | SIMP: (16) implies:
% 177.30/27.76 | (17) all_52_1 = e0
% 177.30/27.76 |
% 177.30/27.76 | REDUCE: (6), (17) imply:
% 177.30/27.76 | (18) op(e2, e0) = unit
% 177.30/27.76 |
% 177.30/27.76 | GROUND_INST: instantiating (1) with all_61_13, unit, e0, e2, simplifying with
% 177.30/27.76 | (7), (18) gives:
% 177.30/27.76 | (19) all_61_13 = unit
% 177.30/27.76 |
% 177.30/27.76 | REDUCE: (9), (19) imply:
% 177.30/27.76 | (20) ~ (all_8_1 = unit)
% 177.30/27.76 |
% 177.30/27.76 | SIMP: (20) implies:
% 177.30/27.76 | (21) ~ (all_8_1 = unit)
% 177.30/27.76 |
% 177.30/27.76 | REDUCE: (12), (19) imply:
% 177.30/27.76 | (22) ~ (unit = e1)
% 177.30/27.76 |
% 177.30/27.76 | REDUCE: (14), (19) imply:
% 177.30/27.76 | (23) op(unit, e2) = all_8_1
% 177.30/27.76 |
% 177.30/27.76 | REDUCE: (13), (19) imply:
% 177.30/27.76 | (24) op(unit, e1) = all_65_67
% 177.30/27.76 |
% 177.30/27.76 | REDUCE: (4), (19) imply:
% 177.30/27.76 | (25) op(e2, unit) = all_8_1
% 177.30/27.76 |
% 177.30/27.76 | REDUCE: (10), (19) imply:
% 177.30/27.76 | (26) op(e1, unit) = all_65_67
% 177.30/27.76 |
% 177.30/27.76 | GROUND_INST: instantiating (1) with e1, all_65_67, e1, unit, simplifying with
% 177.30/27.76 | (5), (24) gives:
% 177.30/27.76 | (27) all_65_67 = e1
% 177.30/27.76 |
% 177.30/27.76 | GROUND_INST: instantiating (1) with e2, all_8_1, e2, unit, simplifying with
% 177.30/27.76 | (15), (23) gives:
% 177.30/27.76 | (28) all_8_1 = e2
% 177.30/27.76 |
% 177.30/27.76 | REDUCE: (21), (28) imply:
% 177.30/27.76 | (29) ~ (unit = e2)
% 177.30/27.76 |
% 177.30/27.76 | SIMP: (29) implies:
% 177.30/27.76 | (30) ~ (unit = e2)
% 177.30/27.76 |
% 177.30/27.76 | REDUCE: (25), (28) imply:
% 177.30/27.76 | (31) op(e2, unit) = e2
% 177.30/27.76 |
% 177.30/27.76 | REDUCE: (26), (27) imply:
% 177.30/27.76 | (32) op(e1, unit) = e1
% 177.30/27.76 |
% 177.30/27.76 | REF_CLOSE: (1), (3), (8), (18), (22), (25), (26), (30), (31), (32) are
% 177.30/27.76 | inconsistent by sub-proof #129.
% 177.30/27.76 |
% 177.30/27.76 End of proof
% 177.30/27.76
% 177.30/27.76 Sub-proof #129 shows that the following formulas are inconsistent:
% 177.30/27.76 ----------------------------------------------------------------
% 177.30/27.76 (1) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 177.30/27.76 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 177.30/27.76 (2) op(e2, unit) = e2
% 177.30/27.76 (3) op(e1, e0) = all_8_1
% 177.30/27.76 (4) op(e1, unit) = all_65_67
% 177.30/27.76 (5) ~ (unit = e1)
% 177.30/27.76 (6) op(e2, unit) = all_8_1
% 177.30/27.76 (7) ~ (unit = e2)
% 177.30/27.76 (8) unit = e2 | unit = e1 | unit = e0
% 177.30/27.76 (9) op(e1, unit) = e1
% 177.30/27.76 (10) op(e2, e0) = unit
% 177.30/27.76
% 177.30/27.76 Begin of proof
% 177.30/27.76 |
% 177.30/27.76 | BETA: splitting (8) gives:
% 177.30/27.76 |
% 177.30/27.76 | Case 1:
% 177.30/27.76 | |
% 177.30/27.76 | | (11) unit = e2
% 177.30/27.76 | |
% 177.30/27.76 | | REDUCE: (7), (11) imply:
% 177.30/27.76 | | (12) $false
% 177.30/27.76 | |
% 177.30/27.76 | | CLOSE: (12) is inconsistent.
% 177.30/27.76 | |
% 177.30/27.76 | Case 2:
% 177.30/27.76 | |
% 177.30/27.76 | | (13) unit = e1 | unit = e0
% 177.30/27.76 | |
% 177.30/27.76 | | BETA: splitting (13) gives:
% 177.30/27.76 | |
% 177.30/27.76 | | Case 1:
% 177.30/27.76 | | |
% 177.30/27.76 | | | (14) unit = e1
% 177.30/27.76 | | |
% 177.30/27.76 | | | REDUCE: (5), (14) imply:
% 177.30/27.76 | | | (15) $false
% 177.30/27.76 | | |
% 177.30/27.76 | | | CLOSE: (15) is inconsistent.
% 177.30/27.76 | | |
% 177.30/27.76 | | Case 2:
% 177.30/27.76 | | |
% 177.30/27.76 | | | (16) unit = e0
% 177.30/27.76 | | |
% 177.30/27.76 | | | REDUCE: (5), (16) imply:
% 177.30/27.76 | | | (17) ~ (e1 = e0)
% 177.30/27.76 | | |
% 177.30/27.76 | | | SIMP: (17) implies:
% 177.30/27.76 | | | (18) ~ (e1 = e0)
% 177.30/27.76 | | |
% 177.30/27.76 | | | REDUCE: (6), (16) imply:
% 177.30/27.76 | | | (19) op(e2, e0) = all_8_1
% 177.30/27.76 | | |
% 177.30/27.76 | | | REDUCE: (2), (16) imply:
% 177.30/27.76 | | | (20) op(e2, e0) = e2
% 177.30/27.76 | | |
% 177.30/27.76 | | | REDUCE: (10), (16) imply:
% 177.30/27.76 | | | (21) op(e2, e0) = e0
% 177.30/27.76 | | |
% 177.30/27.76 | | | REDUCE: (4), (16) imply:
% 177.30/27.76 | | | (22) op(e1, e0) = all_65_67
% 177.30/27.76 | | |
% 177.30/27.76 | | | REDUCE: (9), (16) imply:
% 177.30/27.76 | | | (23) op(e1, e0) = e1
% 177.30/27.76 | | |
% 177.30/27.76 | | | GROUND_INST: instantiating (1) with all_8_1, all_65_67, e0, e1,
% 177.30/27.76 | | | simplifying with (3), (22) gives:
% 177.30/27.76 | | | (24) all_65_67 = all_8_1
% 177.30/27.76 | | |
% 177.30/27.76 | | | GROUND_INST: instantiating (1) with e1, all_65_67, e0, e1, simplifying
% 177.30/27.76 | | | with (22), (23) gives:
% 177.30/27.76 | | | (25) all_65_67 = e1
% 177.30/27.76 | | |
% 177.30/27.76 | | | GROUND_INST: instantiating (1) with e2, all_8_1, e0, e2, simplifying with
% 177.30/27.76 | | | (19), (20) gives:
% 177.30/27.76 | | | (26) all_8_1 = e2
% 177.30/27.76 | | |
% 177.30/27.76 | | | GROUND_INST: instantiating (1) with e0, all_8_1, e0, e2, simplifying with
% 177.30/27.76 | | | (19), (21) gives:
% 177.30/27.76 | | | (27) all_8_1 = e0
% 177.30/27.76 | | |
% 177.30/27.76 | | | COMBINE_EQS: (24), (25) imply:
% 177.30/27.76 | | | (28) all_8_1 = e1
% 177.30/27.76 | | |
% 177.30/27.76 | | | COMBINE_EQS: (26), (28) imply:
% 177.30/27.76 | | | (29) e2 = e1
% 177.30/27.76 | | |
% 177.30/27.76 | | | COMBINE_EQS: (26), (27) imply:
% 177.30/27.76 | | | (30) e2 = e0
% 177.30/27.76 | | |
% 177.30/27.76 | | | REF_CLOSE: (18), (29), (30) are inconsistent by sub-proof #403.
% 177.30/27.76 | | |
% 177.30/27.76 | | End of split
% 177.30/27.76 | |
% 177.30/27.76 | End of split
% 177.30/27.76 |
% 177.30/27.76 End of proof
% 177.30/27.76
% 177.30/27.76 Sub-proof #130 shows that the following formulas are inconsistent:
% 177.30/27.76 ----------------------------------------------------------------
% 177.30/27.76 (1) all_63_6 = all_61_9
% 177.30/27.76 (2) ~ (all_22_1 = e1)
% 177.30/27.76 (3) all_63_4 = all_14_1
% 177.30/27.76 (4) ~ (all_14_1 = e1)
% 177.30/27.76 (5) ~ (all_22_1 = all_14_1)
% 177.30/27.76 (6) ~ (all_14_1 = e2)
% 177.30/27.76 (7) all_63_4 = e3 | all_63_4 = e2 | all_63_4 = e1 | all_63_4 = e0
% 177.30/27.76 (8) ~ (all_61_9 = all_22_1)
% 177.30/27.76 (9) ~ (all_14_1 = e0)
% 177.30/27.76 (10) all_63_6 = e3 | all_63_6 = e2 | all_63_6 = e1 | all_63_6 = e0
% 177.30/27.76 (11) all_63_13 = e3 | all_63_13 = e2 | all_63_13 = e1 | all_63_13 = e0
% 177.30/27.76 (12) ~ (all_22_1 = e0)
% 177.30/27.76 (13) all_63_13 = all_22_1
% 177.30/27.76 (14) ~ (all_61_9 = e0)
% 177.30/27.76 (15) ~ (all_61_9 = e1)
% 177.30/27.76 (16) ~ (all_61_9 = all_14_1)
% 177.30/27.76
% 177.30/27.76 Begin of proof
% 177.30/27.76 |
% 177.30/27.76 | BETA: splitting (7) gives:
% 177.30/27.76 |
% 177.30/27.76 | Case 1:
% 177.30/27.76 | |
% 177.30/27.76 | | (17) all_63_4 = e3
% 177.30/27.76 | |
% 177.30/27.76 | | COMBINE_EQS: (3), (17) imply:
% 177.30/27.76 | | (18) all_14_1 = e3
% 177.30/27.76 | |
% 177.30/27.76 | | REDUCE: (16), (18) imply:
% 177.30/27.76 | | (19) ~ (all_61_9 = e3)
% 177.30/27.76 | |
% 177.30/27.76 | | REDUCE: (5), (18) imply:
% 177.30/27.76 | | (20) ~ (all_22_1 = e3)
% 177.30/27.76 | |
% 177.30/27.76 | | REF_CLOSE: (1), (2), (8), (10), (11), (12), (13), (14), (15), (19), (20) are
% 177.30/27.76 | | inconsistent by sub-proof #394.
% 177.30/27.76 | |
% 177.30/27.76 | Case 2:
% 177.30/27.76 | |
% 177.30/27.76 | | (21) all_63_4 = e2 | all_63_4 = e1 | all_63_4 = e0
% 177.30/27.76 | |
% 177.30/27.76 | | REF_CLOSE: (3), (4), (6), (9), (21) are inconsistent by sub-proof #354.
% 177.30/27.76 | |
% 177.30/27.76 | End of split
% 177.30/27.76 |
% 177.30/27.76 End of proof
% 177.30/27.76
% 177.30/27.76 Sub-proof #131 shows that the following formulas are inconsistent:
% 177.30/27.76 ----------------------------------------------------------------
% 177.30/27.76 (1) all_63_6 = all_61_9
% 177.30/27.76 (2) ~ (all_61_8 = all_61_9)
% 177.30/27.76 (3) all_63_11 = all_8_1
% 177.30/27.76 (4) ~ (all_61_8 = e0)
% 177.30/27.76 (5) ~ (all_61_9 = all_8_1)
% 177.30/27.76 (6) all_63_11 = e3 | all_63_11 = e2 | all_63_11 = e1 | all_63_11 = e0
% 177.30/27.76 (7) ~ (all_8_1 = e1)
% 177.30/27.76 (8) all_63_14 = all_8_1
% 177.30/27.76 (9) all_63_6 = e3 | all_63_6 = e2 | all_63_6 = e1 | all_63_6 = e0
% 177.30/27.76 (10) all_63_2 = e3 | all_63_2 = e2 | all_63_2 = e1 | all_63_2 = e0
% 177.30/27.76 (11) all_50_1 = all_8_1
% 177.30/27.76 (12) ~ (all_61_8 = all_8_1)
% 177.30/27.76 (13) ~ (all_61_9 = e0)
% 177.30/27.76 (14) all_63_14 = e3 | all_63_14 = e2 | all_63_14 = e1 | all_63_14 = e0
% 177.30/27.76 (15) ~ (all_8_1 = e3)
% 177.30/27.76 (16) ~ (all_61_9 = e1)
% 177.30/27.76 (17) ~ (all_50_1 = e2) | ( ~ (all_50_0 = e3) & op(e2, e0) = all_50_0 &
% 177.30/27.76 $i(all_50_0))
% 177.30/27.76 (18) ~ (all_8_1 = e0)
% 177.30/27.76 (19) ~ (all_61_8 = e1)
% 177.30/27.76 (20) all_63_2 = all_61_8
% 177.30/27.76
% 177.30/27.76 Begin of proof
% 177.30/27.76 |
% 177.30/27.76 | SIMP: (15) implies:
% 177.30/27.76 | (21) ~ (all_8_1 = e3)
% 177.30/27.76 |
% 177.30/27.76 | BETA: splitting (17) gives:
% 177.30/27.76 |
% 177.30/27.76 | Case 1:
% 177.30/27.76 | |
% 177.30/27.76 | | (22) ~ (all_50_1 = e2)
% 177.30/27.76 | |
% 177.30/27.76 | | REDUCE: (11), (22) imply:
% 177.30/27.76 | | (23) ~ (all_8_1 = e2)
% 177.30/27.76 | |
% 177.30/27.76 | | REF_CLOSE: (7), (8), (14), (18), (21), (23) are inconsistent by sub-proof
% 177.30/27.76 | | #150.
% 177.30/27.76 | |
% 177.30/27.76 | Case 2:
% 177.30/27.76 | |
% 177.30/27.76 | | (24) all_50_1 = e2
% 177.30/27.76 | |
% 177.30/27.76 | | COMBINE_EQS: (11), (24) imply:
% 177.30/27.76 | | (25) all_8_1 = e2
% 177.30/27.76 | |
% 177.30/27.76 | | SIMP: (25) implies:
% 177.30/27.76 | | (26) all_8_1 = e2
% 177.30/27.76 | |
% 177.30/27.76 | | REDUCE: (5), (26) imply:
% 177.30/27.76 | | (27) ~ (all_61_9 = e2)
% 177.30/27.76 | |
% 177.30/27.76 | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (9), (10), (12), (13), (16),
% 177.30/27.76 | | (18), (19), (20), (27) are inconsistent by sub-proof #176.
% 177.30/27.76 | |
% 177.30/27.76 | End of split
% 177.30/27.76 |
% 177.30/27.76 End of proof
% 177.30/27.76
% 177.30/27.76 Sub-proof #132 shows that the following formulas are inconsistent:
% 177.30/27.76 ----------------------------------------------------------------
% 177.30/27.76 (1) all_63_4 = all_14_1
% 177.30/27.76 (2) ~ (all_60_0 = e0)
% 177.30/27.76 (3) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 177.30/27.76 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 177.30/27.76 (4) ~ (all_14_1 = e2)
% 177.30/27.76 (5) all_63_4 = e3 | all_63_4 = e2 | all_63_4 = e1 | all_63_4 = e0
% 177.30/27.76 (6) ~ (all_14_1 = e0)
% 177.30/27.76 (7) op(e3, all_14_1) = e0
% 177.30/27.76 (8) op(e3, e3) = all_60_0
% 177.30/27.76 (9) ~ (unit = e0)
% 177.30/27.76 (10) unit = e1 | unit = e0
% 177.30/27.76 (11) ~ (all_14_1 = unit)
% 177.30/27.76
% 177.30/27.76 Begin of proof
% 177.30/27.76 |
% 177.30/27.76 | BETA: splitting (10) gives:
% 177.30/27.76 |
% 177.30/27.76 | Case 1:
% 177.30/27.76 | |
% 177.30/27.76 | | (12) unit = e1
% 177.30/27.76 | |
% 177.30/27.76 | | REDUCE: (11), (12) imply:
% 177.30/27.76 | | (13) ~ (all_14_1 = e1)
% 177.30/27.76 | |
% 177.30/27.76 | | BETA: splitting (5) gives:
% 177.30/27.76 | |
% 177.30/27.76 | | Case 1:
% 177.30/27.76 | | |
% 177.30/27.76 | | | (14) all_63_4 = e3
% 177.30/27.76 | | |
% 177.30/27.76 | | | COMBINE_EQS: (1), (14) imply:
% 177.30/27.76 | | | (15) all_14_1 = e3
% 177.30/27.76 | | |
% 177.30/27.76 | | | REDUCE: (7), (15) imply:
% 177.30/27.76 | | | (16) op(e3, e3) = e0
% 177.30/27.76 | | |
% 177.30/27.76 | | | REF_CLOSE: (2), (3), (8), (16) are inconsistent by sub-proof #152.
% 177.30/27.76 | | |
% 177.30/27.76 | | Case 2:
% 177.30/27.76 | | |
% 177.30/27.76 | | | (17) all_63_4 = e2 | all_63_4 = e1 | all_63_4 = e0
% 177.30/27.76 | | |
% 177.30/27.76 | | | REF_CLOSE: (1), (4), (6), (13), (17) are inconsistent by sub-proof #354.
% 177.30/27.76 | | |
% 177.30/27.76 | | End of split
% 177.30/27.76 | |
% 177.30/27.76 | Case 2:
% 177.30/27.76 | |
% 177.30/27.76 | | (18) ~ (unit = e1)
% 177.30/27.76 | |
% 177.30/27.76 | | REF_CLOSE: (9), (10), (18) are inconsistent by sub-proof #419.
% 177.30/27.76 | |
% 177.30/27.76 | End of split
% 177.30/27.76 |
% 177.30/27.76 End of proof
% 177.30/27.76
% 177.30/27.76 Sub-proof #133 shows that the following formulas are inconsistent:
% 177.30/27.76 ----------------------------------------------------------------
% 177.30/27.76 (1) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 177.30/27.76 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 177.30/27.76 (2) op(e3, e3) = e2
% 177.30/27.76 (3) unit = e0
% 177.30/27.76 (4) ~ (e2 = e0)
% 177.30/27.76 (5) op(e3, e3) = unit
% 177.30/27.76
% 177.30/27.76 Begin of proof
% 177.30/27.76 |
% 177.30/27.76 | GROUND_INST: instantiating (1) with e2, unit, e3, e3, simplifying with (2),
% 177.30/27.76 | (5) gives:
% 177.30/27.76 | (6) unit = e2
% 177.30/27.76 |
% 177.30/27.76 | COMBINE_EQS: (3), (6) imply:
% 177.30/27.76 | (7) e2 = e0
% 177.30/27.76 |
% 177.30/27.76 | REDUCE: (4), (7) imply:
% 177.30/27.76 | (8) $false
% 177.30/27.76 |
% 177.30/27.76 | CLOSE: (8) is inconsistent.
% 177.30/27.76 |
% 177.30/27.76 End of proof
% 177.30/27.76
% 177.30/27.76 Sub-proof #134 shows that the following formulas are inconsistent:
% 177.30/27.76 ----------------------------------------------------------------
% 177.30/27.76 (1) ~ (all_61_8 = all_61_9)
% 177.30/27.76 (2) all_63_11 = all_8_1
% 177.30/27.76 (3) ~ (all_61_8 = e0)
% 177.30/27.76 (4) op(all_8_1, e1) = e1
% 177.30/27.76 (5) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 177.30/27.76 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 177.30/27.76 (6) all_52_2 = e0
% 177.30/27.76 (7) ~ (all_24_1 = e2) | ( ~ (all_24_0 = e3) & op(e2, e1) = all_24_0 &
% 177.30/27.76 $i(all_24_0))
% 177.30/27.76 (8) op(e1, e0) = all_8_1
% 177.30/27.76 (9) op(e2, e3) = all_14_1
% 177.30/27.76 (10) all_63_11 = e3 | all_63_11 = e2 | all_63_11 = e1 | all_63_11 = e0
% 177.30/27.76 (11) ~ (all_8_1 = e1)
% 177.30/27.76 (12) ~ (all_61_8 = all_14_1)
% 177.30/27.76 (13) all_63_2 = e3 | all_63_2 = e2 | all_63_2 = e1 | all_63_2 = e0
% 177.30/27.76 (14) op(unit, e3) = e3
% 177.30/27.76 (15) ~ (all_61_8 = all_8_1)
% 177.30/27.76 (16) unit = e2 | unit = e1 | unit = e0
% 177.30/27.76 (17) op(all_8_1, e3) = all_65_65
% 177.30/27.76 (18) all_24_1 = all_8_1
% 177.30/27.76 (19) op(e1, all_52_2) = unit
% 177.30/27.76 (20) op(e2, e1) = all_61_9
% 177.30/27.76 (21) ~ (unit = e3)
% 177.30/27.76 (22) ~ (all_8_1 = e0)
% 177.30/27.76 (23) all_63_2 = all_61_8
% 177.30/27.76
% 177.30/27.76 Begin of proof
% 177.30/27.76 |
% 177.30/27.76 | REDUCE: (6), (19) imply:
% 177.30/27.76 | (24) op(e1, e0) = unit
% 177.30/27.76 |
% 177.30/27.76 | GROUND_INST: instantiating (5) with all_8_1, unit, e0, e1, simplifying with
% 177.30/27.76 | (8), (24) gives:
% 177.30/27.76 | (25) all_8_1 = unit
% 177.30/27.76 |
% 177.30/27.76 | COMBINE_EQS: (18), (25) imply:
% 177.30/27.76 | (26) all_24_1 = unit
% 177.30/27.76 |
% 177.30/27.76 | COMBINE_EQS: (2), (25) imply:
% 177.30/27.76 | (27) all_63_11 = unit
% 177.30/27.76 |
% 177.30/27.76 | REDUCE: (11), (25) imply:
% 177.30/27.76 | (28) ~ (unit = e1)
% 177.30/27.76 |
% 177.30/27.76 | REDUCE: (22), (25) imply:
% 177.30/27.76 | (29) ~ (unit = e0)
% 177.30/27.76 |
% 177.30/27.76 | REDUCE: (17), (25) imply:
% 177.30/27.76 | (30) op(unit, e3) = all_65_65
% 177.30/27.76 |
% 177.30/27.76 | REDUCE: (4), (25) imply:
% 177.30/27.76 | (31) op(unit, e1) = e1
% 177.30/27.76 |
% 177.30/27.76 | BETA: splitting (10) gives:
% 177.30/27.76 |
% 177.30/27.76 | Case 1:
% 177.30/27.76 | |
% 177.30/27.76 | | (32) all_63_11 = e3
% 177.30/27.76 | |
% 177.30/27.76 | | COMBINE_EQS: (27), (32) imply:
% 177.30/27.76 | | (33) unit = e3
% 177.30/27.76 | |
% 177.30/27.76 | | REDUCE: (21), (33) imply:
% 177.30/27.76 | | (34) $false
% 177.30/27.76 | |
% 177.30/27.76 | | CLOSE: (34) is inconsistent.
% 177.30/27.76 | |
% 177.30/27.76 | Case 2:
% 177.30/27.76 | |
% 177.30/27.76 | | (35) all_63_11 = e2 | all_63_11 = e1 | all_63_11 = e0
% 177.30/27.76 | |
% 177.30/27.76 | | BETA: splitting (16) gives:
% 177.30/27.76 | |
% 177.30/27.76 | | Case 1:
% 177.30/27.76 | | |
% 177.30/27.76 | | | (36) unit = e2
% 177.30/27.76 | | |
% 177.30/27.76 | | | COMBINE_EQS: (26), (36) imply:
% 177.30/27.76 | | | (37) all_24_1 = e2
% 177.30/27.76 | | |
% 177.30/27.76 | | | REDUCE: (30), (36) imply:
% 177.30/27.76 | | | (38) op(e2, e3) = all_65_65
% 177.30/27.76 | | |
% 177.30/27.76 | | | REDUCE: (14), (36) imply:
% 177.30/27.76 | | | (39) op(e2, e3) = e3
% 177.30/27.76 | | |
% 177.30/27.76 | | | REDUCE: (31), (36) imply:
% 177.30/27.76 | | | (40) op(e2, e1) = e1
% 177.30/27.76 | | |
% 177.30/27.76 | | | BETA: splitting (7) gives:
% 177.30/27.76 | | |
% 177.30/27.76 | | | Case 1:
% 177.30/27.76 | | | |
% 177.30/27.76 | | | | (41) ~ (all_24_1 = e2)
% 177.30/27.76 | | | |
% 177.30/27.76 | | | | REDUCE: (37), (41) imply:
% 177.30/27.76 | | | | (42) $false
% 177.30/27.76 | | | |
% 177.30/27.76 | | | | CLOSE: (42) is inconsistent.
% 177.30/27.76 | | | |
% 177.30/27.76 | | | Case 2:
% 177.30/27.76 | | | |
% 177.30/27.76 | | | | (43) ~ (all_24_0 = e3) & op(e2, e1) = all_24_0 & $i(all_24_0)
% 177.30/27.76 | | | |
% 177.30/27.76 | | | | ALPHA: (43) implies:
% 177.30/27.76 | | | | (44) op(e2, e1) = all_24_0
% 177.30/27.76 | | | |
% 177.30/27.76 | | | | GROUND_INST: instantiating (5) with all_61_9, e1, e1, e2, simplifying
% 177.30/27.76 | | | | with (20), (40) gives:
% 177.30/27.76 | | | | (45) all_61_9 = e1
% 177.30/27.76 | | | |
% 177.30/27.76 | | | | GROUND_INST: instantiating (5) with all_61_9, all_24_0, e1, e2,
% 177.30/27.76 | | | | simplifying with (20), (44) gives:
% 177.30/27.76 | | | | (46) all_61_9 = all_24_0
% 177.30/27.76 | | | |
% 177.30/27.76 | | | | GROUND_INST: instantiating (5) with all_14_1, all_65_65, e3, e2,
% 177.30/27.76 | | | | simplifying with (9), (38) gives:
% 177.30/27.76 | | | | (47) all_65_65 = all_14_1
% 177.30/27.76 | | | |
% 177.30/27.76 | | | | GROUND_INST: instantiating (5) with e3, all_65_65, e3, e2, simplifying
% 177.30/27.76 | | | | with (38), (39) gives:
% 177.30/27.76 | | | | (48) all_65_65 = e3
% 177.30/27.76 | | | |
% 177.30/27.76 | | | | COMBINE_EQS: (47), (48) imply:
% 177.30/27.76 | | | | (49) all_14_1 = e3
% 177.30/27.76 | | | |
% 177.30/27.76 | | | | SIMP: (49) implies:
% 177.30/27.76 | | | | (50) all_14_1 = e3
% 177.30/27.76 | | | |
% 177.30/27.76 | | | | COMBINE_EQS: (45), (46) imply:
% 177.30/27.76 | | | | (51) all_24_0 = e1
% 177.30/27.76 | | | |
% 177.30/27.76 | | | | REDUCE: (1), (45) imply:
% 177.30/27.76 | | | | (52) ~ (all_61_8 = e1)
% 177.30/27.76 | | | |
% 177.30/27.76 | | | | REDUCE: (12), (50) imply:
% 177.30/27.76 | | | | (53) ~ (all_61_8 = e3)
% 177.30/27.76 | | | |
% 177.30/27.76 | | | | REF_CLOSE: (2), (3), (11), (13), (15), (22), (23), (35), (52), (53) are
% 177.30/27.76 | | | | inconsistent by sub-proof #201.
% 177.30/27.76 | | | |
% 177.30/27.76 | | | End of split
% 177.30/27.76 | | |
% 177.30/27.76 | | Case 2:
% 177.30/27.76 | | |
% 177.30/27.76 | | | (54) unit = e1 | unit = e0
% 177.30/27.76 | | |
% 177.30/27.76 | | | REF_CLOSE: (28), (29), (54) are inconsistent by sub-proof #419.
% 177.30/27.76 | | |
% 177.30/27.76 | | End of split
% 177.30/27.76 | |
% 177.30/27.76 | End of split
% 177.30/27.76 |
% 177.30/27.76 End of proof
% 177.30/27.76
% 177.30/27.76 Sub-proof #135 shows that the following formulas are inconsistent:
% 177.30/27.76 ----------------------------------------------------------------
% 177.30/27.76 (1) ~ (all_20_1 = e2)
% 177.30/27.76 (2) ~ (all_20_1 = unit)
% 177.30/27.76 (3) all_63_11 = e3 | all_63_11 = e2 | all_63_11 = e1 | all_63_11 = e0
% 177.30/27.76 (4) all_63_13 = e3 | all_63_13 = e2 | all_63_13 = e1 | all_63_13 = e0
% 177.30/27.76 (5) all_63_3 = e3 | all_63_3 = e2 | all_63_3 = e1 | all_63_3 = e0
% 177.30/27.76 (6) ~ (unit = e2)
% 177.30/27.76 (7) all_63_13 = all_20_1
% 177.30/27.76 (8) ~ (unit = e0)
% 177.30/27.76 (9) ~ (all_20_1 = e0)
% 177.30/27.76 (10) ~ (all_36_1 = all_20_1)
% 177.30/27.76 (11) all_63_11 = unit
% 177.30/27.76 (12) ~ (all_36_1 = e0)
% 177.30/27.76 (13) ~ (all_36_1 = e2)
% 177.30/27.76 (14) ~ (unit = e3)
% 177.30/27.76 (15) ~ (all_36_1 = unit)
% 177.30/27.76 (16) all_63_3 = all_36_1
% 177.30/27.76
% 177.30/27.76 Begin of proof
% 177.30/27.76 |
% 177.30/27.76 | BETA: splitting (3) gives:
% 177.30/27.76 |
% 177.30/27.76 | Case 1:
% 177.30/27.76 | |
% 177.30/27.76 | | (17) all_63_11 = e3
% 177.30/27.76 | |
% 177.30/27.76 | | COMBINE_EQS: (11), (17) imply:
% 177.30/27.76 | | (18) unit = e3
% 177.30/27.76 | |
% 177.30/27.76 | | REDUCE: (14), (18) imply:
% 177.30/27.76 | | (19) $false
% 177.30/27.76 | |
% 177.30/27.76 | | CLOSE: (19) is inconsistent.
% 177.30/27.76 | |
% 177.30/27.76 | Case 2:
% 177.30/27.76 | |
% 177.30/27.76 | | (20) all_63_11 = e2 | all_63_11 = e1 | all_63_11 = e0
% 177.30/27.76 | |
% 177.30/27.76 | | BETA: splitting (20) gives:
% 177.30/27.76 | |
% 177.30/27.76 | | Case 1:
% 177.30/27.76 | | |
% 177.30/27.76 | | | (21) all_63_11 = e2
% 177.30/27.76 | | |
% 177.30/27.76 | | | COMBINE_EQS: (11), (21) imply:
% 177.30/27.76 | | | (22) unit = e2
% 177.30/27.76 | | |
% 177.30/27.76 | | | REDUCE: (6), (22) imply:
% 177.30/27.76 | | | (23) $false
% 177.30/27.76 | | |
% 177.30/27.76 | | | CLOSE: (23) is inconsistent.
% 177.30/27.76 | | |
% 177.30/27.76 | | Case 2:
% 177.30/27.76 | | |
% 177.30/27.76 | | | (24) all_63_11 = e1 | all_63_11 = e0
% 177.30/27.76 | | |
% 177.30/27.76 | | | BETA: splitting (24) gives:
% 177.30/27.76 | | |
% 177.30/27.76 | | | Case 1:
% 177.30/27.76 | | | |
% 177.30/27.76 | | | | (25) all_63_11 = e1
% 177.30/27.76 | | | |
% 177.30/27.76 | | | | COMBINE_EQS: (11), (25) imply:
% 177.30/27.76 | | | | (26) unit = e1
% 177.30/27.76 | | | |
% 177.30/27.76 | | | | REDUCE: (15), (26) imply:
% 177.30/27.76 | | | | (27) ~ (all_36_1 = e1)
% 177.30/27.76 | | | |
% 177.30/27.76 | | | | REDUCE: (2), (26) imply:
% 177.30/27.76 | | | | (28) ~ (all_20_1 = e1)
% 177.30/27.76 | | | |
% 177.30/27.76 | | | | BETA: splitting (4) gives:
% 177.30/27.76 | | | |
% 177.30/27.76 | | | | Case 1:
% 177.30/27.76 | | | | |
% 177.30/27.76 | | | | | (29) all_63_13 = e3
% 177.30/27.76 | | | | |
% 177.30/27.76 | | | | | COMBINE_EQS: (7), (29) imply:
% 177.30/27.76 | | | | | (30) all_20_1 = e3
% 177.30/27.76 | | | | |
% 177.30/27.76 | | | | | REDUCE: (10), (30) imply:
% 177.30/27.76 | | | | | (31) ~ (all_36_1 = e3)
% 177.30/27.76 | | | | |
% 177.30/27.76 | | | | | REF_CLOSE: (5), (12), (13), (16), (27), (31) are inconsistent by
% 177.30/27.76 | | | | | sub-proof #446.
% 177.30/27.76 | | | | |
% 177.30/27.76 | | | | Case 2:
% 177.30/27.76 | | | | |
% 177.30/27.76 | | | | | (32) all_63_13 = e2 | all_63_13 = e1 | all_63_13 = e0
% 177.30/27.76 | | | | |
% 177.30/27.76 | | | | | REF_CLOSE: (1), (7), (9), (28), (32) are inconsistent by sub-proof
% 177.30/27.76 | | | | | #380.
% 177.30/27.76 | | | | |
% 177.30/27.76 | | | | End of split
% 177.30/27.76 | | | |
% 177.30/27.76 | | | Case 2:
% 177.30/27.76 | | | |
% 177.30/27.76 | | | | (33) all_63_11 = e0
% 177.30/27.76 | | | |
% 177.30/27.76 | | | | COMBINE_EQS: (11), (33) imply:
% 177.30/27.76 | | | | (34) unit = e0
% 177.30/27.76 | | | |
% 177.30/27.76 | | | | REDUCE: (8), (34) imply:
% 177.30/27.77 | | | | (35) $false
% 177.30/27.77 | | | |
% 177.30/27.77 | | | | CLOSE: (35) is inconsistent.
% 177.30/27.77 | | | |
% 177.30/27.77 | | | End of split
% 177.30/27.77 | | |
% 177.30/27.77 | | End of split
% 177.30/27.77 | |
% 177.30/27.77 | End of split
% 177.30/27.77 |
% 177.30/27.77 End of proof
% 177.30/27.77
% 177.30/27.77 Sub-proof #136 shows that the following formulas are inconsistent:
% 177.30/27.77 ----------------------------------------------------------------
% 177.30/27.77 (1) all_63_14 = all_8_1
% 177.30/27.77 (2) all_63_3 = e3 | all_63_3 = e2 | all_63_3 = e1 | all_63_3 = e0
% 177.30/27.77 (3) ~ (all_36_1 = all_8_1)
% 177.30/27.77 (4) ~ (unit = e0)
% 177.30/27.77 (5) ~ (all_8_1 = e2)
% 177.30/27.77 (6) all_63_14 = e3 | all_63_14 = e2 | all_63_14 = e1 | all_63_14 = e0
% 177.30/27.77 (7) ~ (all_36_1 = e0)
% 177.30/27.77 (8) unit = e1 | unit = e0
% 177.30/27.77 (9) ~ (all_36_1 = e2)
% 177.30/27.77 (10) ~ (all_36_1 = unit)
% 177.30/27.77 (11) ~ (all_8_1 = unit)
% 177.30/27.77 (12) all_63_3 = all_36_1
% 177.30/27.77 (13) ~ (all_8_1 = e0)
% 177.30/27.77
% 177.30/27.77 Begin of proof
% 177.30/27.77 |
% 177.30/27.77 | BETA: splitting (8) gives:
% 177.30/27.77 |
% 177.30/27.77 | Case 1:
% 177.30/27.77 | |
% 177.30/27.77 | | (14) unit = e1
% 177.30/27.77 | |
% 177.30/27.77 | | REDUCE: (10), (14) imply:
% 177.30/27.77 | | (15) ~ (all_36_1 = e1)
% 177.30/27.77 | |
% 177.30/27.77 | | REDUCE: (11), (14) imply:
% 177.30/27.77 | | (16) ~ (all_8_1 = e1)
% 177.30/27.77 | |
% 177.30/27.77 | | REF_CLOSE: (1), (2), (3), (5), (6), (7), (9), (12), (13), (15), (16) are
% 177.30/27.77 | | inconsistent by sub-proof #137.
% 177.30/27.77 | |
% 177.30/27.77 | Case 2:
% 177.30/27.77 | |
% 177.30/27.77 | | (17) unit = e0
% 177.30/27.77 | |
% 177.30/27.77 | | REDUCE: (4), (17) imply:
% 177.30/27.77 | | (18) $false
% 177.30/27.77 | |
% 177.30/27.77 | | CLOSE: (18) is inconsistent.
% 177.30/27.77 | |
% 177.30/27.77 | End of split
% 177.30/27.77 |
% 177.30/27.77 End of proof
% 177.30/27.77
% 177.30/27.77 Sub-proof #137 shows that the following formulas are inconsistent:
% 177.30/27.77 ----------------------------------------------------------------
% 177.30/27.77 (1) ~ (all_36_1 = e1)
% 177.30/27.77 (2) ~ (all_8_1 = e1)
% 177.30/27.77 (3) all_63_14 = all_8_1
% 177.30/27.77 (4) all_63_3 = e3 | all_63_3 = e2 | all_63_3 = e1 | all_63_3 = e0
% 177.30/27.77 (5) ~ (all_36_1 = all_8_1)
% 177.30/27.77 (6) ~ (all_8_1 = e2)
% 177.30/27.77 (7) all_63_14 = e3 | all_63_14 = e2 | all_63_14 = e1 | all_63_14 = e0
% 177.30/27.77 (8) ~ (all_36_1 = e0)
% 177.30/27.77 (9) ~ (all_36_1 = e2)
% 177.30/27.77 (10) all_63_3 = all_36_1
% 177.30/27.77 (11) ~ (all_8_1 = e0)
% 177.30/27.77
% 177.30/27.77 Begin of proof
% 177.30/27.77 |
% 177.30/27.77 | BETA: splitting (7) gives:
% 177.30/27.77 |
% 177.30/27.77 | Case 1:
% 177.30/27.77 | |
% 177.30/27.77 | | (12) all_63_14 = e3
% 177.30/27.77 | |
% 177.30/27.77 | | COMBINE_EQS: (3), (12) imply:
% 177.30/27.77 | | (13) all_8_1 = e3
% 177.30/27.77 | |
% 177.30/27.77 | | REDUCE: (5), (13) imply:
% 177.30/27.77 | | (14) ~ (all_36_1 = e3)
% 177.30/27.77 | |
% 177.30/27.77 | | REF_CLOSE: (1), (4), (8), (9), (10), (14) are inconsistent by sub-proof
% 177.30/27.77 | | #446.
% 177.30/27.77 | |
% 177.30/27.77 | Case 2:
% 177.30/27.77 | |
% 177.30/27.77 | | (15) all_63_14 = e2 | all_63_14 = e1 | all_63_14 = e0
% 177.30/27.77 | |
% 177.30/27.77 | | REF_CLOSE: (2), (3), (6), (11), (15) are inconsistent by sub-proof #153.
% 177.30/27.77 | |
% 177.30/27.77 | End of split
% 177.30/27.77 |
% 177.30/27.77 End of proof
% 177.30/27.77
% 177.30/27.77 Sub-proof #138 shows that the following formulas are inconsistent:
% 177.30/27.77 ----------------------------------------------------------------
% 177.30/27.77 (1) all_63_6 = all_61_9
% 177.30/27.77 (2) ~ (all_40_1 = e0)
% 177.30/27.77 (3) all_63_8 = all_40_1
% 177.30/27.77 (4) ~ (all_61_9 = all_8_1)
% 177.30/27.77 (5) ~ (all_40_1 = all_8_1)
% 177.30/27.77 (6) all_63_14 = all_8_1
% 177.30/27.77 (7) all_63_6 = e3 | all_63_6 = e2 | all_63_6 = e1 | all_63_6 = e0
% 177.30/27.77 (8) ~ (all_61_9 = all_40_1)
% 177.30/27.77 (9) ~ (all_61_9 = unit)
% 177.30/27.77 (10) ~ (all_61_9 = e0)
% 177.30/27.77 (11) ~ (all_40_1 = e1)
% 177.30/27.77 (12) ~ (unit = e0)
% 177.30/27.77 (13) ~ (all_8_1 = e2)
% 177.30/27.77 (14) all_63_14 = e3 | all_63_14 = e2 | all_63_14 = e1 | all_63_14 = e0
% 177.30/27.77 (15) all_63_8 = e3 | all_63_8 = e2 | all_63_8 = e1 | all_63_8 = e0
% 177.30/27.77 (16) unit = e1 | unit = e0
% 177.30/27.77 (17) ~ (all_8_1 = unit)
% 177.30/27.77 (18) ~ (all_8_1 = e0)
% 177.30/27.77
% 177.30/27.77 Begin of proof
% 177.30/27.77 |
% 177.30/27.77 | BETA: splitting (16) gives:
% 177.30/27.77 |
% 177.30/27.77 | Case 1:
% 177.30/27.77 | |
% 177.30/27.77 | | (19) unit = e1
% 177.30/27.77 | |
% 177.30/27.77 | | REDUCE: (9), (19) imply:
% 177.30/27.77 | | (20) ~ (all_61_9 = e1)
% 177.30/27.77 | |
% 177.30/27.77 | | REDUCE: (17), (19) imply:
% 177.30/27.77 | | (21) ~ (all_8_1 = e1)
% 177.30/27.77 | |
% 177.30/27.77 | | BETA: splitting (14) gives:
% 177.30/27.77 | |
% 177.30/27.77 | | Case 1:
% 177.30/27.77 | | |
% 177.30/27.77 | | | (22) all_63_14 = e3
% 177.30/27.77 | | |
% 177.30/27.77 | | | COMBINE_EQS: (6), (22) imply:
% 177.30/27.77 | | | (23) all_8_1 = e3
% 177.30/27.77 | | |
% 177.30/27.77 | | | REDUCE: (4), (23) imply:
% 177.30/27.77 | | | (24) ~ (all_61_9 = e3)
% 177.30/27.77 | | |
% 177.30/27.77 | | | REDUCE: (5), (23) imply:
% 177.30/27.77 | | | (25) ~ (all_40_1 = e3)
% 177.30/27.77 | | |
% 177.30/27.77 | | | BETA: splitting (7) gives:
% 177.30/27.77 | | |
% 177.30/27.77 | | | Case 1:
% 177.30/27.77 | | | |
% 177.30/27.77 | | | | (26) all_63_6 = e3
% 177.30/27.77 | | | |
% 177.30/27.77 | | | | COMBINE_EQS: (1), (26) imply:
% 177.30/27.77 | | | | (27) all_61_9 = e3
% 177.30/27.77 | | | |
% 177.30/27.77 | | | | REDUCE: (24), (27) imply:
% 177.30/27.77 | | | | (28) $false
% 177.30/27.77 | | | |
% 177.30/27.77 | | | | CLOSE: (28) is inconsistent.
% 177.30/27.77 | | | |
% 177.30/27.77 | | | Case 2:
% 177.30/27.77 | | | |
% 177.30/27.77 | | | | (29) all_63_6 = e2 | all_63_6 = e1 | all_63_6 = e0
% 177.30/27.77 | | | |
% 177.30/27.77 | | | | BETA: splitting (29) gives:
% 177.30/27.77 | | | |
% 177.30/27.77 | | | | Case 1:
% 177.30/27.77 | | | | |
% 177.30/27.77 | | | | | (30) all_63_6 = e2
% 177.30/27.77 | | | | |
% 177.30/27.77 | | | | | COMBINE_EQS: (1), (30) imply:
% 177.30/27.77 | | | | | (31) all_61_9 = e2
% 177.30/27.77 | | | | |
% 177.30/27.77 | | | | | REDUCE: (8), (31) imply:
% 177.30/27.77 | | | | | (32) ~ (all_40_1 = e2)
% 177.30/27.77 | | | | |
% 177.30/27.77 | | | | | SIMP: (32) implies:
% 177.30/27.77 | | | | | (33) ~ (all_40_1 = e2)
% 177.30/27.77 | | | | |
% 177.30/27.77 | | | | | REF_CLOSE: (2), (3), (11), (15), (25), (33) are inconsistent by
% 177.30/27.77 | | | | | sub-proof #432.
% 177.30/27.77 | | | | |
% 177.30/27.77 | | | | Case 2:
% 177.30/27.77 | | | | |
% 177.30/27.77 | | | | | (34) all_63_6 = e1 | all_63_6 = e0
% 177.30/27.77 | | | | |
% 177.30/27.77 | | | | | REF_CLOSE: (1), (10), (20), (34) are inconsistent by sub-proof #408.
% 177.30/27.77 | | | | |
% 177.30/27.77 | | | | End of split
% 177.30/27.77 | | | |
% 177.30/27.77 | | | End of split
% 177.30/27.77 | | |
% 177.30/27.77 | | Case 2:
% 177.30/27.77 | | |
% 177.30/27.77 | | | (35) all_63_14 = e2 | all_63_14 = e1 | all_63_14 = e0
% 177.30/27.77 | | |
% 177.30/27.77 | | | REF_CLOSE: (6), (13), (18), (21), (35) are inconsistent by sub-proof #153.
% 177.30/27.77 | | |
% 177.30/27.77 | | End of split
% 177.30/27.77 | |
% 177.30/27.77 | Case 2:
% 177.30/27.77 | |
% 177.30/27.77 | | (36) unit = e0
% 177.30/27.77 | |
% 177.30/27.77 | | REDUCE: (12), (36) imply:
% 177.30/27.77 | | (37) $false
% 177.30/27.77 | |
% 177.30/27.77 | | CLOSE: (37) is inconsistent.
% 177.30/27.77 | |
% 177.30/27.77 | End of split
% 177.30/27.77 |
% 177.30/27.77 End of proof
% 177.30/27.77
% 177.30/27.77 Sub-proof #139 shows that the following formulas are inconsistent:
% 177.30/27.77 ----------------------------------------------------------------
% 177.30/27.77 (1) op(all_61_9, e2) = all_8_1
% 177.30/27.77 (2) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 177.30/27.77 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 177.30/27.77 (3) op(e2, all_52_1) = unit
% 177.30/27.77 (4) all_58_1 = all_52_1
% 177.30/27.77 (5) all_58_1 = e1
% 177.30/27.77 (6) ~ (all_8_1 = e2)
% 177.30/27.77 (7) op(e2, e1) = all_61_9
% 177.30/27.77 (8) op(unit, e2) = e2
% 177.30/27.77
% 177.30/27.77 Begin of proof
% 177.30/27.77 |
% 177.30/27.77 | COMBINE_EQS: (4), (5) imply:
% 177.30/27.77 | (9) all_52_1 = e1
% 177.30/27.77 |
% 177.30/27.77 | SIMP: (9) implies:
% 177.30/27.77 | (10) all_52_1 = e1
% 177.30/27.77 |
% 177.30/27.77 | REDUCE: (3), (10) imply:
% 177.30/27.77 | (11) op(e2, e1) = unit
% 177.30/27.77 |
% 177.30/27.77 | REF_CLOSE: (1), (2), (6), (7), (8), (11) are inconsistent by sub-proof #140.
% 177.30/27.77 |
% 177.30/27.77 End of proof
% 177.30/27.77
% 177.30/27.77 Sub-proof #140 shows that the following formulas are inconsistent:
% 177.30/27.77 ----------------------------------------------------------------
% 177.30/27.77 (1) op(e2, e1) = unit
% 177.30/27.77 (2) op(all_61_9, e2) = all_8_1
% 177.30/27.77 (3) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 177.30/27.77 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 177.30/27.77 (4) ~ (all_8_1 = e2)
% 177.30/27.77 (5) op(e2, e1) = all_61_9
% 177.30/27.77 (6) op(unit, e2) = e2
% 177.30/27.77
% 177.30/27.77 Begin of proof
% 177.30/27.77 |
% 177.30/27.77 | GROUND_INST: instantiating (3) with all_61_9, unit, e1, e2, simplifying with
% 177.30/27.77 | (1), (5) gives:
% 177.30/27.77 | (7) all_61_9 = unit
% 177.30/27.77 |
% 177.30/27.77 | REDUCE: (2), (7) imply:
% 177.30/27.77 | (8) op(unit, e2) = all_8_1
% 177.30/27.77 |
% 177.30/27.77 | GROUND_INST: instantiating (3) with e2, all_8_1, e2, unit, simplifying with
% 177.30/27.77 | (6), (8) gives:
% 177.30/27.77 | (9) all_8_1 = e2
% 177.30/27.77 |
% 177.30/27.77 | REDUCE: (4), (9) imply:
% 177.30/27.77 | (10) $false
% 177.30/27.77 |
% 177.30/27.77 | CLOSE: (10) is inconsistent.
% 177.30/27.77 |
% 177.30/27.77 End of proof
% 177.30/27.77
% 177.30/27.77 Sub-proof #141 shows that the following formulas are inconsistent:
% 177.30/27.77 ----------------------------------------------------------------
% 177.30/27.77 (1) ~ (all_52_0 = all_52_1)
% 177.30/27.77 (2) all_56_2 = e3 | all_56_2 = e2 | all_56_2 = e1 | all_56_2 = e0
% 177.30/27.77 (3) all_56_2 = all_52_2
% 177.30/27.77 (4) op(e1, e1) = e0
% 177.30/27.77 (5) ~ (all_52_1 = all_52_3)
% 177.30/27.77 (6) ~ (all_52_0 = all_52_3)
% 177.30/27.77 (7) all_58_0 = all_52_0
% 177.30/27.77 (8) all_56_1 = e3 | all_56_1 = e2 | all_56_1 = e1 | all_56_1 = e0
% 177.30/27.77 (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 177.30/27.77 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 177.30/27.77 (10) ~ (all_52_2 = e0)
% 177.30/27.77 (11) op(e2, e2) = e0
% 177.30/27.77 (12) ~ (all_52_1 = all_52_2)
% 177.30/27.77 (13) all_56_3 = e3 | all_56_3 = e2 | all_56_3 = e1 | all_56_3 = e0
% 177.30/27.77 (14) all_56_1 = all_52_1
% 177.30/27.77 (15) ~ (all_52_2 = e2)
% 177.30/27.77 (16) op(e2, all_52_1) = unit
% 177.30/27.77 (17) all_58_2 = all_52_2
% 177.30/27.77 (18) all_56_3 = all_52_3
% 177.30/27.77 (19) ~ (e2 = e0)
% 177.30/27.77 (20) ~ (all_58_2 = e3) | all_58_0 = e1
% 177.30/27.77 (21) op(e1, all_52_2) = unit
% 177.30/27.77 (22) op(e0, e0) = e2
% 177.30/27.77 (23) op(e0, unit) = e0
% 177.30/27.77 (24) op(e0, all_52_3) = unit
% 177.30/27.77 (25) ~ (all_52_2 = all_52_3)
% 177.30/27.77 (26) ~ (all_52_1 = e0)
% 177.30/27.77
% 177.30/27.77 Begin of proof
% 177.30/27.77 |
% 177.30/27.77 | BETA: splitting (20) gives:
% 177.30/27.77 |
% 177.30/27.77 | Case 1:
% 177.30/27.77 | |
% 177.30/27.77 | | (27) ~ (all_58_2 = e3)
% 177.30/27.77 | |
% 177.30/27.77 | | REDUCE: (17), (27) imply:
% 177.30/27.77 | | (28) ~ (all_52_2 = e3)
% 177.30/27.77 | |
% 177.30/27.77 | | REF_CLOSE: (2), (3), (4), (9), (10), (15), (19), (21), (22), (23), (28) are
% 177.30/27.77 | | inconsistent by sub-proof #146.
% 177.30/27.77 | |
% 177.30/27.77 | Case 2:
% 177.30/27.77 | |
% 177.30/27.77 | | (29) all_58_2 = e3
% 177.30/27.77 | | (30) all_58_0 = e1
% 177.30/27.77 | |
% 177.30/27.77 | | COMBINE_EQS: (7), (30) imply:
% 177.30/27.77 | | (31) all_52_0 = e1
% 177.30/27.77 | |
% 177.30/27.77 | | SIMP: (31) implies:
% 177.30/27.77 | | (32) all_52_0 = e1
% 177.30/27.77 | |
% 177.30/27.77 | | COMBINE_EQS: (17), (29) imply:
% 177.30/27.77 | | (33) all_52_2 = e3
% 177.30/27.77 | |
% 177.30/27.77 | | SIMP: (33) implies:
% 177.30/27.77 | | (34) all_52_2 = e3
% 177.30/27.77 | |
% 177.30/27.77 | | REDUCE: (1), (32) imply:
% 177.30/27.77 | | (35) ~ (all_52_1 = e1)
% 177.30/27.77 | |
% 177.30/27.77 | | SIMP: (35) implies:
% 177.30/27.77 | | (36) ~ (all_52_1 = e1)
% 177.30/27.77 | |
% 177.30/27.77 | | REDUCE: (6), (32) imply:
% 177.30/27.77 | | (37) ~ (all_52_3 = e1)
% 177.30/27.77 | |
% 177.30/27.77 | | SIMP: (37) implies:
% 177.30/27.77 | | (38) ~ (all_52_3 = e1)
% 177.30/27.77 | |
% 177.30/27.77 | | REDUCE: (12), (34) imply:
% 177.30/27.77 | | (39) ~ (all_52_1 = e3)
% 177.30/27.77 | |
% 177.30/27.77 | | REDUCE: (25), (34) imply:
% 177.30/27.77 | | (40) ~ (all_52_3 = e3)
% 177.30/27.77 | |
% 177.30/27.77 | | SIMP: (40) implies:
% 177.30/27.77 | | (41) ~ (all_52_3 = e3)
% 177.30/27.77 | |
% 177.30/27.77 | | REF_CLOSE: (5), (8), (9), (11), (13), (14), (16), (18), (22), (24), (26),
% 177.30/27.77 | | (36), (38), (39), (41) are inconsistent by sub-proof #340.
% 177.30/27.77 | |
% 177.30/27.77 | End of split
% 177.30/27.77 |
% 177.30/27.77 End of proof
% 177.30/27.77
% 177.30/27.77 Sub-proof #142 shows that the following formulas are inconsistent:
% 177.30/27.77 ----------------------------------------------------------------
% 177.30/27.77 (1) ~ (all_61_2 = e0)
% 177.30/27.77 (2) ~ (all_61_8 = e0)
% 177.30/27.77 (3) op(e3, e1) = all_65_18
% 177.30/27.77 (4) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 177.30/27.77 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 177.30/27.77 (5) ~ (all_61_2 = all_8_1)
% 177.30/27.77 (6) op(e3, e1) = all_61_8
% 177.30/27.77 (7) ~ (all_8_1 = e1)
% 177.30/27.77 (8) all_63_14 = all_8_1
% 177.30/27.77 (9) all_63_2 = e3 | all_63_2 = e2 | all_63_2 = e1 | all_63_2 = e0
% 177.30/27.77 (10) ~ (all_61_8 = all_8_1)
% 177.30/27.77 (11) op(e2, all_61_8) = all_65_18
% 177.30/27.77 (12) ~ (all_8_1 = e3) | ( ~ (all_8_0 = e2) & op(e3, e1) = all_8_0 &
% 177.30/27.77 $i(all_8_0))
% 177.30/27.77 (13) op(e2, all_61_2) = all_65_36
% 177.30/27.77 (14) all_63_8 = all_61_2
% 177.30/27.77 (15) ~ (all_8_1 = e2)
% 177.30/27.77 (16) all_63_14 = e3 | all_63_14 = e2 | all_63_14 = e1 | all_63_14 = e0
% 177.30/27.77 (17) ~ (all_61_2 = e1)
% 177.30/27.77 (18) all_63_8 = e3 | all_63_8 = e2 | all_63_8 = e1 | all_63_8 = e0
% 177.30/27.77 (19) ~ (all_8_1 = e0)
% 177.30/27.77 (20) ~ (all_61_8 = e1)
% 177.30/27.77 (21) all_63_2 = all_61_8
% 177.30/27.77
% 177.30/27.77 Begin of proof
% 177.30/27.77 |
% 177.30/27.77 | BETA: splitting (16) gives:
% 177.30/27.77 |
% 177.30/27.77 | Case 1:
% 177.30/27.77 | |
% 177.30/27.77 | | (22) all_63_14 = e3
% 177.30/27.77 | |
% 177.30/27.77 | | COMBINE_EQS: (8), (22) imply:
% 177.30/27.77 | | (23) all_8_1 = e3
% 177.30/27.77 | |
% 177.30/27.77 | | REDUCE: (5), (23) imply:
% 177.30/27.77 | | (24) ~ (all_61_2 = e3)
% 177.30/27.77 | |
% 177.30/27.77 | | REDUCE: (10), (23) imply:
% 177.30/27.77 | | (25) ~ (all_61_8 = e3)
% 177.30/27.77 | |
% 177.30/27.77 | | BETA: splitting (12) gives:
% 177.30/27.77 | |
% 177.30/27.77 | | Case 1:
% 177.30/27.77 | | |
% 177.30/27.77 | | | (26) ~ (all_8_1 = e3)
% 177.30/27.77 | | |
% 177.30/27.77 | | | REDUCE: (23), (26) imply:
% 177.30/27.77 | | | (27) $false
% 177.30/27.77 | | |
% 177.30/27.77 | | | CLOSE: (27) is inconsistent.
% 177.30/27.77 | | |
% 177.30/27.77 | | Case 2:
% 177.30/27.77 | | |
% 177.30/27.77 | | | (28) ~ (all_8_0 = e2) & op(e3, e1) = all_8_0 & $i(all_8_0)
% 177.30/27.77 | | |
% 177.30/27.77 | | | ALPHA: (28) implies:
% 177.30/27.77 | | | (29) ~ (all_8_0 = e2)
% 177.30/27.77 | | | (30) op(e3, e1) = all_8_0
% 177.30/27.77 | | |
% 177.30/27.77 | | | BETA: splitting (9) gives:
% 177.30/27.77 | | |
% 177.30/27.77 | | | Case 1:
% 177.30/27.77 | | | |
% 177.30/27.77 | | | | (31) all_63_2 = e3
% 177.30/27.77 | | | |
% 177.30/27.77 | | | | COMBINE_EQS: (21), (31) imply:
% 177.30/27.77 | | | | (32) all_61_8 = e3
% 177.30/27.77 | | | |
% 177.30/27.77 | | | | REDUCE: (25), (32) imply:
% 177.30/27.77 | | | | (33) $false
% 177.30/27.77 | | | |
% 177.30/27.77 | | | | CLOSE: (33) is inconsistent.
% 177.30/27.77 | | | |
% 177.30/27.77 | | | Case 2:
% 177.30/27.77 | | | |
% 177.30/27.77 | | | | (34) all_63_2 = e2 | all_63_2 = e1 | all_63_2 = e0
% 177.30/27.77 | | | |
% 177.30/27.77 | | | | BETA: splitting (18) gives:
% 177.30/27.77 | | | |
% 177.30/27.77 | | | | Case 1:
% 177.30/27.77 | | | | |
% 177.30/27.77 | | | | | (35) all_63_8 = e3
% 177.30/27.77 | | | | |
% 177.30/27.77 | | | | | COMBINE_EQS: (14), (35) imply:
% 177.30/27.77 | | | | | (36) all_61_2 = e3
% 177.30/27.77 | | | | |
% 177.30/27.77 | | | | | REDUCE: (24), (36) imply:
% 177.30/27.77 | | | | | (37) $false
% 177.30/27.77 | | | | |
% 177.30/27.77 | | | | | CLOSE: (37) is inconsistent.
% 177.30/27.77 | | | | |
% 177.30/27.77 | | | | Case 2:
% 177.30/27.77 | | | | |
% 177.30/27.77 | | | | | (38) all_63_8 = e2 | all_63_8 = e1 | all_63_8 = e0
% 177.30/27.77 | | | | |
% 177.30/27.77 | | | | | BETA: splitting (34) gives:
% 177.30/27.77 | | | | |
% 177.30/27.77 | | | | | Case 1:
% 177.30/27.77 | | | | | |
% 177.30/27.77 | | | | | | (39) all_63_2 = e2
% 177.30/27.77 | | | | | |
% 177.30/27.77 | | | | | | COMBINE_EQS: (21), (39) imply:
% 177.30/27.77 | | | | | | (40) all_61_8 = e2
% 177.30/27.77 | | | | | |
% 177.30/27.77 | | | | | | REDUCE: (6), (40) imply:
% 177.30/27.77 | | | | | | (41) op(e3, e1) = e2
% 177.30/27.77 | | | | | |
% 177.30/27.77 | | | | | | REDUCE: (11), (40) imply:
% 177.30/27.77 | | | | | | (42) op(e2, e2) = all_65_18
% 177.30/27.77 | | | | | |
% 177.30/27.77 | | | | | | BETA: splitting (38) gives:
% 177.30/27.77 | | | | | |
% 177.30/27.77 | | | | | | Case 1:
% 177.30/27.77 | | | | | | |
% 177.30/27.77 | | | | | | | (43) all_63_8 = e2
% 177.30/27.77 | | | | | | |
% 177.30/27.77 | | | | | | | COMBINE_EQS: (14), (43) imply:
% 177.30/27.77 | | | | | | | (44) all_61_2 = e2
% 177.30/27.77 | | | | | | |
% 177.30/27.77 | | | | | | | SIMP: (44) implies:
% 177.30/27.77 | | | | | | | (45) all_61_2 = e2
% 177.30/27.77 | | | | | | |
% 177.30/27.77 | | | | | | | REDUCE: (13), (45) imply:
% 177.30/27.77 | | | | | | | (46) op(e2, e2) = all_65_36
% 177.30/27.77 | | | | | | |
% 177.30/27.77 | | | | | | | GROUND_INST: instantiating (4) with all_65_36, all_65_18, e2, e2,
% 177.30/27.77 | | | | | | | simplifying with (42), (46) gives:
% 177.30/27.77 | | | | | | | (47) all_65_18 = all_65_36
% 177.30/27.77 | | | | | | |
% 177.30/27.77 | | | | | | | GROUND_INST: instantiating (4) with all_8_0, all_65_18, e1, e3,
% 177.30/27.77 | | | | | | | simplifying with (3), (30) gives:
% 177.30/27.77 | | | | | | | (48) all_65_18 = all_8_0
% 177.30/27.77 | | | | | | |
% 177.30/27.77 | | | | | | | GROUND_INST: instantiating (4) with e2, all_65_18, e1, e3,
% 177.30/27.77 | | | | | | | simplifying with (3), (41) gives:
% 177.30/27.77 | | | | | | | (49) all_65_18 = e2
% 177.30/27.77 | | | | | | |
% 177.30/27.77 | | | | | | | COMBINE_EQS: (47), (49) imply:
% 177.30/27.77 | | | | | | | (50) all_65_36 = e2
% 177.30/27.77 | | | | | | |
% 177.30/27.77 | | | | | | | COMBINE_EQS: (47), (48) imply:
% 177.30/27.77 | | | | | | | (51) all_65_36 = all_8_0
% 177.30/27.77 | | | | | | |
% 177.30/27.77 | | | | | | | COMBINE_EQS: (50), (51) imply:
% 177.30/27.77 | | | | | | | (52) all_8_0 = e2
% 177.30/27.77 | | | | | | |
% 177.30/27.77 | | | | | | | SIMP: (52) implies:
% 177.30/27.77 | | | | | | | (53) all_8_0 = e2
% 177.30/27.77 | | | | | | |
% 177.30/27.77 | | | | | | | REDUCE: (29), (53) imply:
% 177.30/27.77 | | | | | | | (54) $false
% 177.30/27.77 | | | | | | |
% 177.30/27.77 | | | | | | | CLOSE: (54) is inconsistent.
% 177.30/27.77 | | | | | | |
% 177.30/27.77 | | | | | | Case 2:
% 177.30/27.77 | | | | | | |
% 177.30/27.77 | | | | | | | (55) all_63_8 = e1 | all_63_8 = e0
% 177.30/27.77 | | | | | | |
% 177.30/27.77 | | | | | | | REF_CLOSE: (1), (14), (17), (55) are inconsistent by sub-proof
% 177.30/27.77 | | | | | | | #387.
% 177.30/27.77 | | | | | | |
% 177.30/27.77 | | | | | | End of split
% 177.30/27.77 | | | | | |
% 177.30/27.77 | | | | | Case 2:
% 177.30/27.77 | | | | | |
% 177.30/27.77 | | | | | | (56) all_63_2 = e1 | all_63_2 = e0
% 177.30/27.77 | | | | | |
% 177.30/27.77 | | | | | | REF_CLOSE: (2), (20), (21), (56) are inconsistent by sub-proof #402.
% 177.30/27.77 | | | | | |
% 177.30/27.77 | | | | | End of split
% 177.30/27.77 | | | | |
% 177.30/27.77 | | | | End of split
% 177.30/27.77 | | | |
% 177.30/27.77 | | | End of split
% 177.30/27.77 | | |
% 177.30/27.77 | | End of split
% 177.30/27.77 | |
% 177.30/27.77 | Case 2:
% 177.30/27.77 | |
% 177.30/27.77 | | (57) all_63_14 = e2 | all_63_14 = e1 | all_63_14 = e0
% 177.30/27.77 | |
% 177.30/27.77 | | REF_CLOSE: (7), (8), (15), (19), (57) are inconsistent by sub-proof #153.
% 177.30/27.77 | |
% 177.30/27.77 | End of split
% 177.30/27.77 |
% 177.30/27.77 End of proof
% 177.30/27.77
% 177.30/27.77 Sub-proof #143 shows that the following formulas are inconsistent:
% 177.30/27.77 ----------------------------------------------------------------
% 177.30/27.77 (1) ~ (all_20_1 = e2)
% 177.30/27.77 (2) all_63_9 = all_61_9
% 177.30/27.77 (3) ~ (all_20_1 = e3)
% 177.30/27.77 (4) all_63_13 = e3 | all_63_13 = e2 | all_63_13 = e1 | all_63_13 = e0
% 177.30/27.77 (5) ~ (all_61_9 = all_20_1)
% 177.30/27.77 (6) ~ (all_61_9 = e0)
% 177.30/27.77 (7) all_63_13 = all_20_1
% 177.30/27.77 (8) ~ (all_20_1 = e0)
% 177.30/27.77 (9) all_63_9 = e1 | all_63_9 = e0
% 177.30/27.77
% 177.30/27.77 Begin of proof
% 177.30/27.77 |
% 177.30/27.77 | BETA: splitting (4) gives:
% 177.30/27.77 |
% 177.30/27.77 | Case 1:
% 177.30/27.77 | |
% 177.30/27.77 | | (10) all_63_13 = e3
% 177.30/27.77 | |
% 177.30/27.77 | | COMBINE_EQS: (7), (10) imply:
% 177.30/27.77 | | (11) all_20_1 = e3
% 177.30/27.77 | |
% 177.30/27.77 | | SIMP: (11) implies:
% 177.30/27.77 | | (12) all_20_1 = e3
% 177.30/27.77 | |
% 177.30/27.77 | | REDUCE: (3), (12) imply:
% 177.30/27.77 | | (13) $false
% 177.30/27.77 | |
% 177.30/27.77 | | CLOSE: (13) is inconsistent.
% 177.30/27.77 | |
% 177.30/27.77 | Case 2:
% 177.30/27.77 | |
% 177.30/27.77 | | (14) all_63_13 = e2 | all_63_13 = e1 | all_63_13 = e0
% 177.30/27.77 | |
% 177.30/27.77 | | BETA: splitting (9) gives:
% 177.30/27.77 | |
% 177.30/27.77 | | Case 1:
% 177.30/27.77 | | |
% 177.30/27.77 | | | (15) all_63_9 = e1
% 177.30/27.77 | | |
% 177.30/27.77 | | | COMBINE_EQS: (2), (15) imply:
% 177.30/27.77 | | | (16) all_61_9 = e1
% 177.30/27.77 | | |
% 177.30/27.77 | | | REDUCE: (5), (16) imply:
% 177.30/27.77 | | | (17) ~ (all_20_1 = e1)
% 177.30/27.77 | | |
% 177.30/27.77 | | | SIMP: (17) implies:
% 177.30/27.77 | | | (18) ~ (all_20_1 = e1)
% 177.30/27.77 | | |
% 177.30/27.77 | | | REF_CLOSE: (1), (7), (8), (14), (18) are inconsistent by sub-proof #380.
% 177.30/27.77 | | |
% 177.30/27.77 | | Case 2:
% 177.30/27.77 | | |
% 177.30/27.77 | | | (19) all_63_9 = e0
% 177.30/27.77 | | |
% 177.30/27.77 | | | COMBINE_EQS: (2), (19) imply:
% 177.30/27.77 | | | (20) all_61_9 = e0
% 177.30/27.77 | | |
% 177.30/27.77 | | | REDUCE: (6), (20) imply:
% 177.30/27.77 | | | (21) $false
% 177.30/27.77 | | |
% 177.30/27.77 | | | CLOSE: (21) is inconsistent.
% 177.30/27.77 | | |
% 177.30/27.77 | | End of split
% 177.30/27.77 | |
% 177.30/27.77 | End of split
% 177.30/27.77 |
% 177.30/27.77 End of proof
% 177.30/27.77
% 177.30/27.77 Sub-proof #144 shows that the following formulas are inconsistent:
% 177.30/27.77 ----------------------------------------------------------------
% 177.30/27.77 (1) ~ (all_61_4 = e2)
% 177.30/27.77 (2) ~ (all_20_1 = e2)
% 177.30/27.77 (3) ~ (all_61_4 = all_20_1)
% 177.30/27.77 (4) all_63_4 = e3 | all_63_4 = e2 | all_63_4 = e1 | all_63_4 = e0
% 177.30/27.77 (5) ~ (all_20_1 = e3)
% 177.30/27.77 (6) ~ (all_20_1 = e1)
% 177.30/27.77 (7) ~ (all_61_4 = e1)
% 177.30/27.77 (8) all_63_13 = e3 | all_63_13 = e2 | all_63_13 = e1 | all_63_13 = e0
% 177.30/27.77 (9) all_63_4 = all_61_4
% 177.30/27.77 (10) ~ (all_61_4 = e3)
% 177.30/27.77 (11) all_63_13 = all_20_1
% 177.30/27.77
% 177.30/27.77 Begin of proof
% 177.30/27.77 |
% 177.30/27.77 | BETA: splitting (4) gives:
% 177.30/27.77 |
% 177.30/27.77 | Case 1:
% 177.30/27.77 | |
% 177.30/27.77 | | (12) all_63_4 = e3
% 177.30/27.77 | |
% 177.30/27.77 | | COMBINE_EQS: (9), (12) imply:
% 177.30/27.77 | | (13) all_61_4 = e3
% 177.30/27.77 | |
% 177.30/27.77 | | REDUCE: (10), (13) imply:
% 177.30/27.77 | | (14) $false
% 177.30/27.77 | |
% 177.30/27.77 | | CLOSE: (14) is inconsistent.
% 177.30/27.77 | |
% 177.30/27.77 | Case 2:
% 177.30/27.77 | |
% 177.30/27.77 | | (15) all_63_4 = e2 | all_63_4 = e1 | all_63_4 = e0
% 177.30/27.77 | |
% 177.30/27.77 | | REF_CLOSE: (1), (2), (3), (5), (6), (7), (8), (9), (11), (15) are
% 177.30/27.77 | | inconsistent by sub-proof #376.
% 177.30/27.77 | |
% 177.30/27.77 | End of split
% 177.30/27.77 |
% 177.30/27.77 End of proof
% 177.30/27.77
% 177.30/27.77 Sub-proof #145 shows that the following formulas are inconsistent:
% 177.30/27.77 ----------------------------------------------------------------
% 177.30/27.77 (1) ~ (all_58_2 = e0) | all_58_3 = e1
% 177.30/27.77 (2) all_56_2 = e3 | all_56_2 = e2 | all_56_2 = e1 | all_56_2 = e0
% 177.30/27.77 (3) all_56_2 = all_52_2
% 177.30/27.77 (4) op(e1, e1) = e0
% 177.30/27.77 (5) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 177.30/27.77 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 177.30/27.77 (6) ~ (all_52_2 = e3)
% 177.30/27.77 (7) all_58_3 = all_52_3
% 177.30/27.77 (8) ~ (all_52_2 = e2)
% 177.30/27.77 (9) all_58_2 = all_52_2
% 177.30/27.77 (10) ~ (all_52_3 = e1)
% 177.30/27.77 (11) ~ (e2 = e0)
% 177.30/27.77 (12) op(e1, all_52_2) = unit
% 177.30/27.77 (13) op(e0, e0) = e2
% 177.30/27.77 (14) op(e0, unit) = e0
% 177.30/27.77
% 177.30/27.77 Begin of proof
% 177.30/27.77 |
% 177.30/27.77 | BETA: splitting (1) gives:
% 177.30/27.77 |
% 177.30/27.77 | Case 1:
% 177.30/27.77 | |
% 177.30/27.77 | | (15) ~ (all_58_2 = e0)
% 177.30/27.77 | |
% 177.30/27.77 | | REDUCE: (9), (15) imply:
% 177.30/27.77 | | (16) ~ (all_52_2 = e0)
% 177.30/27.77 | |
% 177.30/27.77 | | REF_CLOSE: (2), (3), (4), (5), (6), (8), (11), (12), (13), (14), (16) are
% 177.30/27.77 | | inconsistent by sub-proof #146.
% 177.30/27.77 | |
% 177.30/27.77 | Case 2:
% 177.30/27.77 | |
% 177.30/27.77 | | (17) all_58_3 = e1
% 177.30/27.77 | |
% 177.30/27.77 | | REF_CLOSE: (7), (10), (17) are inconsistent by sub-proof #460.
% 177.30/27.77 | |
% 177.30/27.77 | End of split
% 177.30/27.77 |
% 177.30/27.77 End of proof
% 177.30/27.77
% 177.30/27.77 Sub-proof #146 shows that the following formulas are inconsistent:
% 177.30/27.77 ----------------------------------------------------------------
% 177.30/27.77 (1) all_56_2 = e3 | all_56_2 = e2 | all_56_2 = e1 | all_56_2 = e0
% 177.30/27.77 (2) all_56_2 = all_52_2
% 177.30/27.77 (3) op(e1, e1) = e0
% 177.30/27.77 (4) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 177.30/27.77 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 177.30/27.77 (5) ~ (all_52_2 = e0)
% 177.30/27.77 (6) ~ (all_52_2 = e3)
% 177.30/27.77 (7) ~ (all_52_2 = e2)
% 177.30/27.77 (8) ~ (e2 = e0)
% 177.30/27.77 (9) op(e1, all_52_2) = unit
% 177.30/27.77 (10) op(e0, e0) = e2
% 177.30/27.77 (11) op(e0, unit) = e0
% 177.30/27.77
% 177.30/27.77 Begin of proof
% 177.30/27.77 |
% 177.30/27.77 | BETA: splitting (1) gives:
% 177.30/27.77 |
% 177.30/27.77 | Case 1:
% 177.30/27.77 | |
% 177.30/27.77 | | (12) all_56_2 = e3
% 177.30/27.77 | |
% 177.30/27.77 | | REF_CLOSE: (2), (6), (12) are inconsistent by sub-proof #482.
% 177.30/27.77 | |
% 177.30/27.77 | Case 2:
% 177.30/27.77 | |
% 177.30/27.77 | | (13) all_56_2 = e2 | all_56_2 = e1 | all_56_2 = e0
% 177.30/27.77 | |
% 177.30/27.77 | | BETA: splitting (13) gives:
% 177.30/27.77 | |
% 177.30/27.77 | | Case 1:
% 177.30/27.77 | | |
% 177.30/27.77 | | | (14) all_56_2 = e2
% 177.30/27.77 | | |
% 177.30/27.77 | | | REF_CLOSE: (2), (7), (14) are inconsistent by sub-proof #481.
% 177.30/27.77 | | |
% 177.30/27.77 | | Case 2:
% 177.30/27.77 | | |
% 177.30/27.77 | | | (15) all_56_2 = e1 | all_56_2 = e0
% 177.30/27.77 | | |
% 177.30/27.77 | | | BETA: splitting (15) gives:
% 177.30/27.77 | | |
% 177.30/27.77 | | | Case 1:
% 177.30/27.77 | | | |
% 177.30/27.77 | | | | (16) all_56_2 = e1
% 177.30/27.77 | | | |
% 177.30/27.77 | | | | COMBINE_EQS: (2), (16) imply:
% 177.30/27.77 | | | | (17) all_52_2 = e1
% 177.30/27.77 | | | |
% 177.30/27.77 | | | | SIMP: (17) implies:
% 177.30/27.77 | | | | (18) all_52_2 = e1
% 177.30/27.77 | | | |
% 177.30/27.77 | | | | REDUCE: (9), (18) imply:
% 177.30/27.77 | | | | (19) op(e1, e1) = unit
% 177.30/27.77 | | | |
% 177.30/27.77 | | | | GROUND_INST: instantiating (4) with e0, unit, e1, e1, simplifying with
% 177.30/27.77 | | | | (3), (19) gives:
% 177.30/27.77 | | | | (20) unit = e0
% 177.30/27.77 | | | |
% 177.30/27.77 | | | | REDUCE: (11), (20) imply:
% 177.30/27.77 | | | | (21) op(e0, e0) = e0
% 177.30/27.77 | | | |
% 177.30/27.77 | | | | GROUND_INST: instantiating (4) with e2, e0, e0, e0, simplifying with
% 177.30/27.77 | | | | (10), (21) gives:
% 177.30/27.77 | | | | (22) e2 = e0
% 177.30/27.77 | | | |
% 177.30/27.77 | | | | REDUCE: (8), (22) imply:
% 177.30/27.77 | | | | (23) $false
% 177.30/27.77 | | | |
% 177.30/27.77 | | | | CLOSE: (23) is inconsistent.
% 177.30/27.77 | | | |
% 177.30/27.77 | | | Case 2:
% 177.30/27.77 | | | |
% 177.30/27.77 | | | | (24) all_56_2 = e0
% 177.30/27.77 | | | |
% 177.30/27.77 | | | | REF_CLOSE: (2), (5), (24) are inconsistent by sub-proof #480.
% 177.30/27.77 | | | |
% 177.30/27.77 | | | End of split
% 177.30/27.77 | | |
% 177.30/27.77 | | End of split
% 177.30/27.77 | |
% 177.30/27.77 | End of split
% 177.30/27.77 |
% 177.30/27.77 End of proof
% 177.30/27.77
% 177.30/27.77 Sub-proof #147 shows that the following formulas are inconsistent:
% 177.30/27.77 ----------------------------------------------------------------
% 177.30/27.77 (1) ~ (all_20_2 = e2)
% 177.30/27.77 (2) ~ (all_58_1 = e3) | all_58_0 = e2
% 177.30/27.77 (3) op(all_61_6, e2) = all_8_1
% 177.30/27.77 (4) op(all_61_6, e1) = all_65_38
% 177.30/27.77 (5) ~ (all_52_1 = all_52_3)
% 177.30/27.77 (6) ~ (all_52_0 = all_52_3)
% 177.30/27.77 (7) all_20_2 = e3
% 177.30/27.77 (8) all_58_0 = all_52_0
% 177.30/27.77 (9) all_56_1 = e3 | all_56_1 = e2 | all_56_1 = e1 | all_56_1 = e0
% 177.30/27.77 (10) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 177.30/27.77 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 177.30/27.77 (11) op(all_8_1, e1) = all_20_2
% 177.30/27.77 (12) op(e1, e0) = all_8_1
% 177.30/27.77 (13) op(all_61_9, e2) = all_65_25
% 177.30/27.78 (14) ~ (all_61_9 = all_8_1)
% 177.30/27.78 (15) op(e1, e2) = all_61_6
% 177.30/27.78 (16) ~ (all_58_3 = e1) | all_58_2 = e0
% 177.30/27.78 (17) ~ (all_61_9 = all_22_1)
% 177.30/27.78 (18) op(e2, e2) = e0
% 177.30/27.78 (19) ~ (all_58_3 = e2) | all_58_1 = e0
% 177.30/27.78 (20) op(e0, e0) = all_20_2
% 177.30/27.78 (21) ~ (all_58_2 = e2) | all_58_1 = e1
% 177.30/27.78 (22) op(unit, e1) = e1
% 177.30/27.78 (23) all_56_3 = e3 | all_56_3 = e2 | all_56_3 = e1 | all_56_3 = e0
% 177.30/27.78 (24) all_56_1 = all_52_1
% 177.30/27.78 (25) all_58_3 = all_52_3
% 177.30/27.78 (26) op(e2, all_52_1) = unit
% 177.30/27.78 (27) all_58_2 = all_52_2
% 177.30/27.78 (28) ~ (all_58_1 = e0) | all_58_3 = e2
% 177.30/27.78 (29) op(all_22_1, e2) = all_20_2
% 177.30/27.78 (30) ~ (all_61_9 = e0)
% 177.30/27.78 (31) unit = e2 | unit = e1 | unit = e0
% 177.30/27.78 (32) all_56_3 = all_52_3
% 177.30/27.78 (33) all_58_1 = all_52_1
% 177.30/27.78 (34) op(e1, all_52_2) = unit
% 177.30/27.78 (35) op(e2, e1) = all_61_9
% 177.30/27.78 (36) op(e2, e0) = all_22_1
% 177.30/27.78 (37) ~ (e3 = e1)
% 177.30/27.78 (38) ~ (all_58_1 = e1) | all_58_2 = e2
% 177.30/27.78 (39) op(all_61_9, e1) = all_22_1
% 177.30/27.78 (40) ~ (unit = e3)
% 177.30/27.78 (41) op(e0, unit) = e0
% 177.30/27.78 (42) op(e0, all_52_3) = unit
% 177.30/27.78 (43) op(unit, e2) = e2
% 177.30/27.78
% 177.30/27.78 Begin of proof
% 177.30/27.78 |
% 177.30/27.78 | REDUCE: (1), (7) imply:
% 177.30/27.78 | (44) ~ (e3 = e2)
% 177.30/27.78 |
% 177.30/27.78 | REDUCE: (7), (29) imply:
% 177.30/27.78 | (45) op(all_22_1, e2) = e3
% 177.30/27.78 |
% 177.30/27.78 | REDUCE: (7), (11) imply:
% 177.30/27.78 | (46) op(all_8_1, e1) = e3
% 177.30/27.78 |
% 177.30/27.78 | REDUCE: (7), (20) imply:
% 177.30/27.78 | (47) op(e0, e0) = e3
% 177.30/27.78 |
% 177.30/27.78 | BETA: splitting (16) gives:
% 177.30/27.78 |
% 177.30/27.78 | Case 1:
% 177.30/27.78 | |
% 177.30/27.78 | | (48) ~ (all_58_3 = e1)
% 177.30/27.78 | |
% 177.30/27.78 | | REDUCE: (25), (48) imply:
% 177.30/27.78 | | (49) ~ (all_52_3 = e1)
% 177.30/27.78 | |
% 177.30/27.78 | | BETA: splitting (19) gives:
% 177.30/27.78 | |
% 177.30/27.78 | | Case 1:
% 177.30/27.78 | | |
% 177.30/27.78 | | | (50) ~ (all_58_3 = e2)
% 177.30/27.78 | | |
% 177.30/27.78 | | | REDUCE: (25), (50) imply:
% 177.30/27.78 | | | (51) ~ (all_52_3 = e2)
% 177.30/27.78 | | |
% 177.30/27.78 | | | BETA: splitting (28) gives:
% 177.30/27.78 | | |
% 177.30/27.78 | | | Case 1:
% 177.30/27.78 | | | |
% 177.30/27.78 | | | | (52) ~ (all_58_1 = e0)
% 177.30/27.78 | | | |
% 177.30/27.78 | | | | REDUCE: (33), (52) imply:
% 177.30/27.78 | | | | (53) ~ (all_52_1 = e0)
% 177.30/27.78 | | | |
% 177.30/27.78 | | | | BETA: splitting (21) gives:
% 177.30/27.78 | | | |
% 177.30/27.78 | | | | Case 1:
% 177.30/27.78 | | | | |
% 177.30/27.78 | | | | | (54) ~ (all_58_2 = e2)
% 177.30/27.78 | | | | |
% 177.30/27.78 | | | | | REDUCE: (27), (54) imply:
% 177.30/27.78 | | | | | (55) ~ (all_52_2 = e2)
% 177.30/27.78 | | | | |
% 177.30/27.78 | | | | | REF_CLOSE: (2), (5), (6), (8), (9), (10), (18), (23), (24), (26),
% 177.30/27.78 | | | | | (27), (32), (33), (38), (40), (41), (42), (47), (49), (53),
% 177.30/27.78 | | | | | (55) are inconsistent by sub-proof #349.
% 177.30/27.78 | | | | |
% 177.30/27.78 | | | | Case 2:
% 177.30/27.78 | | | | |
% 177.30/27.78 | | | | | (56) all_58_2 = e2
% 177.30/27.78 | | | | | (57) all_58_1 = e1
% 177.30/27.78 | | | | |
% 177.30/27.78 | | | | | COMBINE_EQS: (33), (57) imply:
% 177.30/27.78 | | | | | (58) all_52_1 = e1
% 177.30/27.78 | | | | |
% 177.30/27.78 | | | | | SIMP: (58) implies:
% 177.30/27.78 | | | | | (59) all_52_1 = e1
% 177.30/27.78 | | | | |
% 177.30/27.78 | | | | | COMBINE_EQS: (27), (56) imply:
% 177.30/27.78 | | | | | (60) all_52_2 = e2
% 177.30/27.78 | | | | |
% 177.30/27.78 | | | | | REDUCE: (26), (59) imply:
% 177.30/27.78 | | | | | (61) op(e2, e1) = unit
% 177.30/27.78 | | | | |
% 177.30/27.78 | | | | | REDUCE: (34), (60) imply:
% 177.30/27.78 | | | | | (62) op(e1, e2) = unit
% 177.30/27.78 | | | | |
% 177.30/27.78 | | | | | GROUND_INST: instantiating (10) with all_61_6, unit, e2, e1,
% 177.30/27.78 | | | | | simplifying with (15), (62) gives:
% 177.30/27.78 | | | | | (63) all_61_6 = unit
% 177.30/27.78 | | | | |
% 177.30/27.78 | | | | | GROUND_INST: instantiating (10) with all_61_9, unit, e1, e2,
% 177.30/27.78 | | | | | simplifying with (35), (61) gives:
% 177.30/27.78 | | | | | (64) all_61_9 = unit
% 177.30/27.78 | | | | |
% 177.30/27.78 | | | | | REDUCE: (17), (64) imply:
% 177.30/27.78 | | | | | (65) ~ (all_22_1 = unit)
% 177.30/27.78 | | | | |
% 177.30/27.78 | | | | | SIMP: (65) implies:
% 177.30/27.78 | | | | | (66) ~ (all_22_1 = unit)
% 177.30/27.78 | | | | |
% 177.30/27.78 | | | | | REDUCE: (14), (64) imply:
% 177.30/27.78 | | | | | (67) ~ (all_8_1 = unit)
% 177.30/27.78 | | | | |
% 177.30/27.78 | | | | | SIMP: (67) implies:
% 177.30/27.78 | | | | | (68) ~ (all_8_1 = unit)
% 177.30/27.78 | | | | |
% 177.30/27.78 | | | | | REDUCE: (30), (64) imply:
% 177.30/27.78 | | | | | (69) ~ (unit = e0)
% 177.30/27.78 | | | | |
% 177.30/27.78 | | | | | REDUCE: (3), (63) imply:
% 177.30/27.78 | | | | | (70) op(unit, e2) = all_8_1
% 177.30/27.78 | | | | |
% 177.30/27.78 | | | | | REDUCE: (4), (63) imply:
% 177.30/27.78 | | | | | (71) op(unit, e1) = all_65_38
% 177.30/27.78 | | | | |
% 177.30/27.78 | | | | | REDUCE: (13), (64) imply:
% 177.30/27.78 | | | | | (72) op(unit, e2) = all_65_25
% 177.30/27.78 | | | | |
% 177.30/27.78 | | | | | REDUCE: (39), (64) imply:
% 177.30/27.78 | | | | | (73) op(unit, e1) = all_22_1
% 177.30/27.78 | | | | |
% 177.30/27.78 | | | | | GROUND_INST: instantiating (10) with e1, all_65_38, e1, unit,
% 177.30/27.78 | | | | | simplifying with (22), (71) gives:
% 177.30/27.78 | | | | | (74) all_65_38 = e1
% 177.30/27.78 | | | | |
% 177.30/27.78 | | | | | GROUND_INST: instantiating (10) with all_22_1, all_65_38, e1, unit,
% 177.30/27.78 | | | | | simplifying with (71), (73) gives:
% 177.30/27.78 | | | | | (75) all_65_38 = all_22_1
% 177.30/27.78 | | | | |
% 177.30/27.78 | | | | | GROUND_INST: instantiating (10) with e2, all_65_25, e2, unit,
% 177.30/27.78 | | | | | simplifying with (43), (72) gives:
% 177.30/27.78 | | | | | (76) all_65_25 = e2
% 177.30/27.78 | | | | |
% 177.30/27.78 | | | | | GROUND_INST: instantiating (10) with all_8_1, all_65_25, e2, unit,
% 177.30/27.78 | | | | | simplifying with (70), (72) gives:
% 177.30/27.78 | | | | | (77) all_65_25 = all_8_1
% 177.30/27.78 | | | | |
% 177.30/27.78 | | | | | COMBINE_EQS: (76), (77) imply:
% 177.30/27.78 | | | | | (78) all_8_1 = e2
% 177.30/27.78 | | | | |
% 177.30/27.78 | | | | | REF_CLOSE: (31), (66), (68), (69), (74), (75), (78) are inconsistent
% 177.30/27.78 | | | | | by sub-proof #165.
% 177.30/27.78 | | | | |
% 177.30/27.78 | | | | End of split
% 177.30/27.78 | | | |
% 177.30/27.78 | | | Case 2:
% 177.30/27.78 | | | |
% 177.30/27.78 | | | | (79) all_58_3 = e2
% 177.30/27.78 | | | |
% 177.30/27.78 | | | | REF_CLOSE: (25), (51), (79) are inconsistent by sub-proof #459.
% 177.30/27.78 | | | |
% 177.30/27.78 | | | End of split
% 177.30/27.78 | | |
% 177.30/27.78 | | Case 2:
% 177.30/27.78 | | |
% 177.30/27.78 | | | (80) all_58_1 = e0
% 177.30/27.78 | | |
% 177.30/27.78 | | | REF_CLOSE: (10), (26), (33), (36), (43), (44), (45), (80) are inconsistent
% 177.30/27.78 | | | by sub-proof #390.
% 177.30/27.78 | | |
% 177.30/27.78 | | End of split
% 177.30/27.78 | |
% 177.30/27.78 | Case 2:
% 177.30/27.78 | |
% 177.30/27.78 | | (81) all_58_2 = e0
% 177.30/27.78 | |
% 177.30/27.78 | | REF_CLOSE: (10), (12), (22), (27), (34), (37), (46), (81) are inconsistent
% 177.30/27.78 | | by sub-proof #148.
% 177.30/27.78 | |
% 177.30/27.78 | End of split
% 177.30/27.78 |
% 177.30/27.78 End of proof
% 177.30/27.78
% 177.30/27.78 Sub-proof #148 shows that the following formulas are inconsistent:
% 177.30/27.78 ----------------------------------------------------------------
% 177.30/27.78 (1) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 177.30/27.78 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 177.30/27.78 (2) op(e1, e0) = all_8_1
% 177.30/27.78 (3) all_58_2 = e0
% 177.30/27.78 (4) op(unit, e1) = e1
% 177.30/27.78 (5) op(all_8_1, e1) = e3
% 177.30/27.78 (6) all_58_2 = all_52_2
% 177.30/27.78 (7) op(e1, all_52_2) = unit
% 177.30/27.78 (8) ~ (e3 = e1)
% 177.30/27.78
% 177.30/27.78 Begin of proof
% 177.30/27.78 |
% 177.30/27.78 | COMBINE_EQS: (3), (6) imply:
% 177.30/27.78 | (9) all_52_2 = e0
% 177.30/27.78 |
% 177.30/27.78 | REDUCE: (7), (9) imply:
% 177.30/27.78 | (10) op(e1, e0) = unit
% 177.30/27.78 |
% 177.30/27.78 | REF_CLOSE: (1), (2), (4), (5), (8), (10) are inconsistent by sub-proof #170.
% 177.30/27.78 |
% 177.30/27.78 End of proof
% 177.30/27.78
% 177.30/27.78 Sub-proof #149 shows that the following formulas are inconsistent:
% 177.30/27.78 ----------------------------------------------------------------
% 177.30/27.78 (1) op(e3, all_52_0) = unit
% 177.30/27.78 (2) all_58_0 = all_52_0
% 177.30/27.78 (3) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 177.30/27.78 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 177.30/27.78 (4) ~ (all_36_1 = e1)
% 177.30/27.78 (5) op(e3, e1) = all_61_8
% 177.30/27.78 (6) op(unit, e1) = e1
% 177.30/27.78 (7) op(all_61_8, e1) = all_36_1
% 177.30/27.78 (8) all_58_0 = e1
% 177.30/27.78
% 177.30/27.78 Begin of proof
% 177.30/27.78 |
% 177.30/27.78 | COMBINE_EQS: (2), (8) imply:
% 177.30/27.78 | (9) all_52_0 = e1
% 177.30/27.78 |
% 177.30/27.78 | SIMP: (9) implies:
% 177.30/27.78 | (10) all_52_0 = e1
% 177.30/27.78 |
% 177.30/27.78 | REDUCE: (1), (10) imply:
% 177.30/27.78 | (11) op(e3, e1) = unit
% 177.30/27.78 |
% 177.30/27.78 | REF_CLOSE: (3), (4), (5), (6), (7), (11) are inconsistent by sub-proof #177.
% 177.30/27.78 |
% 177.30/27.78 End of proof
% 177.30/27.78
% 177.30/27.78 Sub-proof #150 shows that the following formulas are inconsistent:
% 177.30/27.78 ----------------------------------------------------------------
% 177.30/27.78 (1) ~ (all_8_1 = e3)
% 177.30/27.78 (2) ~ (all_8_1 = e1)
% 177.30/27.78 (3) all_63_14 = all_8_1
% 177.30/27.78 (4) ~ (all_8_1 = e2)
% 177.30/27.78 (5) all_63_14 = e3 | all_63_14 = e2 | all_63_14 = e1 | all_63_14 = e0
% 177.30/27.78 (6) ~ (all_8_1 = e0)
% 177.30/27.78
% 177.30/27.78 Begin of proof
% 177.30/27.78 |
% 177.30/27.78 | BETA: splitting (5) gives:
% 177.30/27.78 |
% 177.30/27.78 | Case 1:
% 177.30/27.78 | |
% 177.30/27.78 | | (7) all_63_14 = e3
% 177.30/27.78 | |
% 177.30/27.78 | | COMBINE_EQS: (3), (7) imply:
% 177.30/27.78 | | (8) all_8_1 = e3
% 177.30/27.78 | |
% 177.30/27.78 | | REDUCE: (1), (8) imply:
% 177.30/27.78 | | (9) $false
% 177.30/27.78 | |
% 177.30/27.78 | | CLOSE: (9) is inconsistent.
% 177.30/27.78 | |
% 177.30/27.78 | Case 2:
% 177.30/27.78 | |
% 177.30/27.78 | | (10) all_63_14 = e2 | all_63_14 = e1 | all_63_14 = e0
% 177.30/27.78 | |
% 177.30/27.78 | | REF_CLOSE: (2), (3), (4), (6), (10) are inconsistent by sub-proof #153.
% 177.30/27.78 | |
% 177.30/27.78 | End of split
% 177.30/27.78 |
% 177.30/27.78 End of proof
% 177.30/27.78
% 177.30/27.78 Sub-proof #151 shows that the following formulas are inconsistent:
% 177.30/27.78 ----------------------------------------------------------------
% 177.30/27.78 (1) ( ~ (all_60_0 = e0) & op(e3, e3) = all_60_0 & $i(all_60_0)) | ( ~
% 177.30/27.78 (all_60_1 = e0) & op(e2, e2) = all_60_1 & $i(all_60_1))
% 177.30/27.78 (2) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 177.30/27.78 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 177.30/27.78 (3) op(e3, e3) = e0
% 177.30/27.78 (4) op(e2, e2) = e0
% 177.30/27.78
% 177.30/27.78 Begin of proof
% 177.30/27.78 |
% 177.30/27.78 | BETA: splitting (1) gives:
% 177.30/27.78 |
% 177.30/27.78 | Case 1:
% 177.30/27.78 | |
% 177.30/27.78 | | (5) ~ (all_60_0 = e0) & op(e3, e3) = all_60_0 & $i(all_60_0)
% 177.30/27.78 | |
% 177.30/27.78 | | ALPHA: (5) implies:
% 177.30/27.78 | | (6) ~ (all_60_0 = e0)
% 177.30/27.78 | | (7) op(e3, e3) = all_60_0
% 177.30/27.78 | |
% 177.30/27.78 | | REF_CLOSE: (2), (3), (6), (7) are inconsistent by sub-proof #152.
% 177.30/27.78 | |
% 177.30/27.78 | Case 2:
% 177.30/27.78 | |
% 177.30/27.78 | | (8) ~ (all_60_1 = e0) & op(e2, e2) = all_60_1 & $i(all_60_1)
% 177.30/27.78 | |
% 177.30/27.78 | | ALPHA: (8) implies:
% 177.30/27.78 | | (9) ~ (all_60_1 = e0)
% 177.30/27.78 | | (10) op(e2, e2) = all_60_1
% 177.30/27.78 | |
% 177.30/27.78 | | REF_CLOSE: (2), (4), (9), (10) are inconsistent by sub-proof #158.
% 177.30/27.78 | |
% 177.30/27.78 | End of split
% 177.30/27.78 |
% 177.30/27.78 End of proof
% 177.30/27.78
% 177.30/27.78 Sub-proof #152 shows that the following formulas are inconsistent:
% 177.30/27.78 ----------------------------------------------------------------
% 177.30/27.78 (1) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 177.30/27.78 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 177.30/27.78 (2) op(e3, e3) = all_60_0
% 177.30/27.78 (3) op(e3, e3) = e0
% 177.30/27.78 (4) ~ (all_60_0 = e0)
% 177.30/27.78
% 177.30/27.78 Begin of proof
% 177.30/27.78 |
% 177.30/27.78 | GROUND_INST: instantiating (1) with e0, all_60_0, e3, e3, simplifying with
% 177.30/27.78 | (2), (3) gives:
% 177.30/27.78 | (5) all_60_0 = e0
% 177.30/27.78 |
% 177.30/27.78 | REDUCE: (4), (5) imply:
% 177.30/27.78 | (6) $false
% 177.30/27.78 |
% 177.30/27.78 | CLOSE: (6) is inconsistent.
% 177.30/27.78 |
% 177.30/27.78 End of proof
% 177.30/27.78
% 177.30/27.78 Sub-proof #153 shows that the following formulas are inconsistent:
% 177.30/27.78 ----------------------------------------------------------------
% 177.30/27.78 (1) ~ (all_8_1 = e1)
% 177.30/27.78 (2) all_63_14 = all_8_1
% 177.30/27.78 (3) ~ (all_8_1 = e2)
% 177.30/27.78 (4) all_63_14 = e2 | all_63_14 = e1 | all_63_14 = e0
% 177.30/27.78 (5) ~ (all_8_1 = e0)
% 177.30/27.78
% 177.30/27.78 Begin of proof
% 177.30/27.78 |
% 177.30/27.78 | BETA: splitting (4) gives:
% 177.30/27.78 |
% 177.30/27.78 | Case 1:
% 177.30/27.78 | |
% 177.30/27.78 | | (6) all_63_14 = e2
% 177.30/27.78 | |
% 177.30/27.78 | | COMBINE_EQS: (2), (6) imply:
% 177.30/27.78 | | (7) all_8_1 = e2
% 177.30/27.78 | |
% 177.30/27.78 | | REDUCE: (3), (7) imply:
% 177.30/27.78 | | (8) $false
% 177.30/27.78 | |
% 177.30/27.78 | | CLOSE: (8) is inconsistent.
% 177.30/27.78 | |
% 177.30/27.78 | Case 2:
% 177.30/27.78 | |
% 177.30/27.78 | | (9) all_63_14 = e1 | all_63_14 = e0
% 177.30/27.78 | |
% 177.30/27.78 | | REF_CLOSE: (1), (2), (5), (9) are inconsistent by sub-proof #205.
% 177.30/27.78 | |
% 177.30/27.78 | End of split
% 177.30/27.78 |
% 177.30/27.78 End of proof
% 177.30/27.78
% 177.30/27.78 Sub-proof #154 shows that the following formulas are inconsistent:
% 177.30/27.78 ----------------------------------------------------------------
% 177.30/27.78 (1) op(e1, e1) = e0
% 177.30/27.78 (2) ~ (all_52_3 = e3)
% 177.30/27.78 (3) ~ (all_52_3 = e2)
% 177.30/27.78 (4) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 177.30/27.78 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 177.30/27.78 (5) all_56_3 = e3 | all_56_3 = e2 | all_56_3 = e1 | all_56_3 = e0
% 177.30/27.78 (6) ~ (all_52_3 = e1)
% 177.30/27.78 (7) all_56_3 = all_52_3
% 177.30/27.78 (8) op(e1, unit) = e1
% 177.30/27.78 (9) op(e0, e0) = e1
% 177.30/27.78 (10) op(e0, all_52_3) = unit
% 177.30/27.78
% 177.30/27.78 Begin of proof
% 177.30/27.78 |
% 177.30/27.78 | BETA: splitting (5) gives:
% 177.30/27.78 |
% 177.30/27.78 | Case 1:
% 177.30/27.78 | |
% 177.30/27.78 | | (11) all_56_3 = e3
% 177.30/27.78 | |
% 177.30/27.78 | | REF_CLOSE: (2), (7), (11) are inconsistent by sub-proof #442.
% 177.30/27.78 | |
% 177.30/27.78 | Case 2:
% 177.30/27.78 | |
% 177.30/27.78 | | (12) all_56_3 = e2 | all_56_3 = e1 | all_56_3 = e0
% 177.30/27.78 | |
% 177.30/27.78 | | BETA: splitting (12) gives:
% 177.30/27.78 | |
% 177.30/27.78 | | Case 1:
% 177.30/27.78 | | |
% 177.30/27.78 | | | (13) all_56_3 = e2
% 177.30/27.78 | | |
% 177.30/27.78 | | | REF_CLOSE: (3), (7), (13) are inconsistent by sub-proof #441.
% 177.30/27.78 | | |
% 177.30/27.78 | | Case 2:
% 177.30/27.78 | | |
% 177.30/27.78 | | | (14) all_56_3 = e1 | all_56_3 = e0
% 177.30/27.78 | | |
% 177.30/27.78 | | | BETA: splitting (14) gives:
% 177.30/27.78 | | |
% 177.30/27.78 | | | Case 1:
% 177.30/27.78 | | | |
% 177.30/27.78 | | | | (15) all_56_3 = e1
% 177.30/27.78 | | | |
% 177.30/27.78 | | | | REF_CLOSE: (6), (7), (15) are inconsistent by sub-proof #440.
% 177.30/27.78 | | | |
% 177.30/27.78 | | | Case 2:
% 177.30/27.78 | | | |
% 177.30/27.78 | | | | (16) all_56_3 = e0
% 177.30/27.78 | | | |
% 177.30/27.78 | | | | COMBINE_EQS: (7), (16) imply:
% 177.30/27.78 | | | | (17) all_52_3 = e0
% 177.30/27.78 | | | |
% 177.30/27.78 | | | | SIMP: (17) implies:
% 177.30/27.78 | | | | (18) all_52_3 = e0
% 177.30/27.78 | | | |
% 177.30/27.78 | | | | REDUCE: (6), (18) imply:
% 177.30/27.78 | | | | (19) ~ (e1 = e0)
% 177.30/27.78 | | | |
% 177.30/27.78 | | | | SIMP: (19) implies:
% 177.30/27.78 | | | | (20) ~ (e1 = e0)
% 177.30/27.78 | | | |
% 177.30/27.78 | | | | REDUCE: (10), (18) imply:
% 177.30/27.78 | | | | (21) op(e0, e0) = unit
% 177.30/27.78 | | | |
% 177.30/27.78 | | | | GROUND_INST: instantiating (4) with e1, unit, e0, e0, simplifying with
% 177.30/27.78 | | | | (9), (21) gives:
% 177.30/27.78 | | | | (22) unit = e1
% 177.30/27.78 | | | |
% 177.30/27.78 | | | | REF_CLOSE: (1), (4), (8), (20), (22) are inconsistent by sub-proof #155.
% 177.30/27.78 | | | |
% 177.30/27.78 | | | End of split
% 177.30/27.78 | | |
% 177.30/27.78 | | End of split
% 177.30/27.78 | |
% 177.30/27.78 | End of split
% 177.30/27.78 |
% 177.30/27.78 End of proof
% 177.30/27.78
% 177.30/27.78 Sub-proof #155 shows that the following formulas are inconsistent:
% 177.30/27.78 ----------------------------------------------------------------
% 177.30/27.78 (1) op(e1, e1) = e0
% 177.30/27.78 (2) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 177.30/27.78 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 177.30/27.78 (3) unit = e1
% 177.30/27.78 (4) ~ (e1 = e0)
% 177.30/27.78 (5) op(e1, unit) = e1
% 177.30/27.78
% 177.30/27.78 Begin of proof
% 177.30/27.78 |
% 177.30/27.78 | REDUCE: (3), (5) imply:
% 177.30/27.78 | (6) op(e1, e1) = e1
% 177.30/27.78 |
% 177.30/27.78 | GROUND_INST: instantiating (2) with e0, e1, e1, e1, simplifying with (1), (6)
% 177.30/27.78 | gives:
% 177.30/27.78 | (7) e1 = e0
% 177.30/27.78 |
% 177.30/27.78 | REDUCE: (4), (7) imply:
% 177.30/27.78 | (8) $false
% 177.30/27.78 |
% 177.30/27.78 | CLOSE: (8) is inconsistent.
% 177.30/27.78 |
% 177.30/27.78 End of proof
% 177.30/27.78
% 177.30/27.78 Sub-proof #156 shows that the following formulas are inconsistent:
% 177.30/27.78 ----------------------------------------------------------------
% 177.30/27.78 (1) ~ (all_60_3 = e0) & op(e0, e0) = all_60_3 & $i(all_60_3)
% 177.30/27.78 (2) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 177.30/27.78 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 177.30/27.78 (3) op(e0, e0) = all_65_78
% 177.30/27.78 (4) op(e0, e0) = e0
% 177.30/27.78
% 177.30/27.78 Begin of proof
% 177.30/27.78 |
% 177.30/27.78 | ALPHA: (1) implies:
% 177.30/27.78 | (5) ~ (all_60_3 = e0)
% 177.30/27.78 | (6) op(e0, e0) = all_60_3
% 177.30/27.78 |
% 177.30/27.78 | GROUND_INST: instantiating (2) with all_60_3, all_65_78, e0, e0, simplifying
% 177.30/27.78 | with (3), (6) gives:
% 177.30/27.78 | (7) all_65_78 = all_60_3
% 177.30/27.78 |
% 177.30/27.78 | GROUND_INST: instantiating (2) with e0, all_65_78, e0, e0, simplifying with
% 177.30/27.78 | (3), (4) gives:
% 177.30/27.78 | (8) all_65_78 = e0
% 177.30/27.78 |
% 177.30/27.78 | COMBINE_EQS: (7), (8) imply:
% 177.30/27.78 | (9) all_60_3 = e0
% 177.30/27.78 |
% 177.30/27.78 | REDUCE: (5), (9) imply:
% 177.30/27.78 | (10) $false
% 177.30/27.78 |
% 177.30/27.78 | CLOSE: (10) is inconsistent.
% 177.30/27.78 |
% 177.30/27.78 End of proof
% 177.30/27.78
% 177.30/27.78 Sub-proof #157 shows that the following formulas are inconsistent:
% 177.30/27.78 ----------------------------------------------------------------
% 177.30/27.78 (1) ~ (all_60_2 = e0) & op(e1, e1) = all_60_2 & $i(all_60_2)
% 177.30/27.78 (2) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 177.30/27.78 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 177.30/27.78 (3) op(e1, e1) = e0
% 177.30/27.78
% 177.30/27.78 Begin of proof
% 177.30/27.78 |
% 177.30/27.78 | ALPHA: (1) implies:
% 177.30/27.78 | (4) ~ (all_60_2 = e0)
% 177.30/27.78 | (5) op(e1, e1) = all_60_2
% 177.30/27.78 |
% 177.30/27.78 | GROUND_INST: instantiating (2) with e0, all_60_2, e1, e1, simplifying with
% 177.30/27.78 | (3), (5) gives:
% 177.30/27.78 | (6) all_60_2 = e0
% 177.30/27.78 |
% 177.30/27.78 | REDUCE: (4), (6) imply:
% 177.30/27.78 | (7) $false
% 177.30/27.78 |
% 177.30/27.78 | CLOSE: (7) is inconsistent.
% 177.30/27.78 |
% 177.30/27.78 End of proof
% 177.30/27.78
% 177.30/27.78 Sub-proof #158 shows that the following formulas are inconsistent:
% 177.30/27.78 ----------------------------------------------------------------
% 177.30/27.78 (1) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 177.30/27.78 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 177.30/27.78 (2) op(e2, e2) = all_60_1
% 177.30/27.78 (3) op(e2, e2) = e0
% 177.30/27.78 (4) ~ (all_60_1 = e0)
% 177.30/27.78
% 177.30/27.78 Begin of proof
% 177.30/27.78 |
% 177.30/27.78 | GROUND_INST: instantiating (1) with e0, all_60_1, e2, e2, simplifying with
% 177.30/27.78 | (2), (3) gives:
% 177.30/27.78 | (5) all_60_1 = e0
% 177.30/27.78 |
% 177.30/27.78 | REDUCE: (4), (5) imply:
% 177.30/27.78 | (6) $false
% 177.30/27.78 |
% 177.30/27.78 | CLOSE: (6) is inconsistent.
% 177.30/27.78 |
% 177.30/27.78 End of proof
% 177.30/27.78
% 177.30/27.78 Sub-proof #159 shows that the following formulas are inconsistent:
% 177.30/27.78 ----------------------------------------------------------------
% 177.30/27.78 (1) ~ (all_40_1 = e0)
% 177.30/27.78 (2) all_63_8 = all_40_1
% 177.30/27.78 (3) all_63_3 = all_61_12
% 177.30/27.78 (4) all_63_4 = e3 | all_63_4 = e2 | all_63_4 = e1 | all_63_4 = e0
% 177.30/27.78 (5) all_63_12 = all_61_12
% 177.30/27.78 (6) ~ (all_61_1 = unit)
% 177.30/27.78 (7) all_63_4 = all_61_1
% 177.30/27.78 (8) ~ (unit = e1)
% 177.30/27.78 (9) all_63_12 = e3 | all_63_12 = e2 | all_63_12 = e1 | all_63_12 = e0
% 177.30/27.78 (10) ~ (all_61_12 = e0)
% 177.30/27.78 (11) all_63_3 = e3 | all_63_3 = e2 | all_63_3 = e1 | all_63_3 = e0
% 177.30/27.78 (12) unit = e2 | unit = e1 | unit = e0
% 177.30/27.78 (13) ~ (all_40_1 = e1)
% 177.30/27.78 (14) ~ (all_61_1 = e1)
% 177.30/27.78 (15) ~ (all_61_1 = e0)
% 177.30/27.78 (16) ~ (unit = e0)
% 177.30/27.78 (17) ~ (all_61_12 = e1)
% 177.30/27.78 (18) ~ (all_61_1 = all_61_12)
% 177.30/27.78 (19) ~ (all_61_12 = all_40_1)
% 177.30/27.78 (20) ~ (all_61_1 = all_40_1)
% 177.30/27.78 (21) all_63_8 = e3 | all_63_8 = e2 | all_63_8 = e1 | all_63_8 = e0
% 177.30/27.78
% 177.30/27.78 Begin of proof
% 177.30/27.78 |
% 177.30/27.78 | BETA: splitting (12) gives:
% 177.30/27.78 |
% 177.30/27.78 | Case 1:
% 177.30/27.78 | |
% 177.30/27.78 | | (22) unit = e2
% 177.30/27.78 | |
% 177.30/27.78 | | REDUCE: (6), (22) imply:
% 177.30/27.78 | | (23) ~ (all_61_1 = e2)
% 177.30/27.78 | |
% 177.30/27.78 | | REF_CLOSE: (1), (2), (3), (4), (5), (7), (9), (10), (11), (13), (14), (15),
% 177.30/27.78 | | (17), (18), (19), (20), (21), (23) are inconsistent by sub-proof
% 177.30/27.78 | | #187.
% 177.30/27.78 | |
% 177.30/27.78 | Case 2:
% 177.30/27.78 | |
% 177.30/27.78 | | (24) unit = e1 | unit = e0
% 177.30/27.78 | |
% 177.30/27.78 | | REF_CLOSE: (8), (16), (24) are inconsistent by sub-proof #419.
% 177.30/27.78 | |
% 177.30/27.78 | End of split
% 177.30/27.78 |
% 177.30/27.78 End of proof
% 177.30/27.78
% 177.30/27.78 Sub-proof #160 shows that the following formulas are inconsistent:
% 177.30/27.78 ----------------------------------------------------------------
% 177.30/27.78 (1) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 177.30/27.78 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 177.30/27.78 (2) ~ (e1 = e0)
% 177.30/27.78 (3) op(e3, e3) = e1
% 177.30/27.78 (4) unit = e0
% 177.30/27.78 (5) op(e3, e3) = unit
% 177.30/27.78
% 177.30/27.78 Begin of proof
% 177.30/27.78 |
% 177.30/27.78 | GROUND_INST: instantiating (1) with e1, unit, e3, e3, simplifying with (3),
% 177.30/27.78 | (5) gives:
% 177.30/27.78 | (6) unit = e1
% 177.30/27.78 |
% 177.30/27.78 | COMBINE_EQS: (4), (6) imply:
% 177.30/27.78 | (7) e1 = e0
% 177.30/27.78 |
% 177.30/27.78 | REDUCE: (2), (7) imply:
% 177.30/27.78 | (8) $false
% 177.30/27.78 |
% 177.30/27.78 | CLOSE: (8) is inconsistent.
% 177.30/27.78 |
% 177.30/27.78 End of proof
% 177.30/27.78
% 177.30/27.78 Sub-proof #161 shows that the following formulas are inconsistent:
% 177.30/27.78 ----------------------------------------------------------------
% 177.30/27.78 (1) ~ (all_61_4 = all_61_12)
% 177.30/27.78 (2) ~ (all_52_3 = e3)
% 177.30/27.78 (3) ~ (all_52_3 = e2)
% 177.30/27.78 (4) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 177.30/27.78 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 177.30/27.78 (5) op(e2, unit) = e2
% 177.30/27.78 (6) ~ (all_61_4 = e0)
% 177.30/27.78 (7) op(e0, e0) = e0
% 177.30/27.78 (8) ~ (all_61_4 = e1)
% 177.30/27.78 (9) all_56_3 = e3 | all_56_3 = e2 | all_56_3 = e1 | all_56_3 = e0
% 177.30/27.78 (10) all_63_1 = all_61_4
% 177.30/27.78 (11) ~ (all_52_3 = e1)
% 177.30/27.78 (12) op(e3, e0) = all_61_12
% 177.30/27.78 (13) all_56_3 = all_52_3
% 177.30/27.78 (14) op(e3, unit) = e3
% 177.30/27.78 (15) all_63_1 = e3 | all_63_1 = e2 | all_63_1 = e1 | all_63_1 = e0
% 177.30/27.78 (16) op(e2, e0) = all_22_1
% 177.30/27.78 (17) op(e0, all_52_3) = unit
% 177.30/27.78 (18) ~ (all_61_4 = all_22_1)
% 177.30/27.78
% 177.30/27.78 Begin of proof
% 177.30/27.78 |
% 177.30/27.78 | BETA: splitting (9) gives:
% 177.30/27.78 |
% 177.30/27.78 | Case 1:
% 177.30/27.78 | |
% 177.30/27.78 | | (19) all_56_3 = e3
% 177.30/27.78 | |
% 177.30/27.78 | | REF_CLOSE: (2), (13), (19) are inconsistent by sub-proof #442.
% 177.30/27.78 | |
% 177.30/27.78 | Case 2:
% 177.30/27.78 | |
% 177.30/27.78 | | (20) all_56_3 = e2 | all_56_3 = e1 | all_56_3 = e0
% 177.30/27.78 | |
% 177.30/27.78 | | BETA: splitting (20) gives:
% 177.30/27.78 | |
% 177.30/27.78 | | Case 1:
% 177.30/27.78 | | |
% 177.30/27.78 | | | (21) all_56_3 = e2
% 177.30/27.78 | | |
% 177.30/27.78 | | | REF_CLOSE: (3), (13), (21) are inconsistent by sub-proof #441.
% 177.30/27.78 | | |
% 177.30/27.78 | | Case 2:
% 177.30/27.78 | | |
% 177.30/27.78 | | | (22) all_56_3 = e1 | all_56_3 = e0
% 177.30/27.78 | | |
% 177.30/27.78 | | | BETA: splitting (22) gives:
% 177.30/27.78 | | |
% 177.30/27.78 | | | Case 1:
% 177.30/27.78 | | | |
% 177.30/27.78 | | | | (23) all_56_3 = e1
% 177.30/27.78 | | | |
% 177.30/27.78 | | | | REF_CLOSE: (11), (13), (23) are inconsistent by sub-proof #440.
% 177.30/27.78 | | | |
% 177.30/27.78 | | | Case 2:
% 177.30/27.78 | | | |
% 177.30/27.78 | | | | (24) all_56_3 = e0
% 177.30/27.78 | | | |
% 177.30/27.78 | | | | COMBINE_EQS: (13), (24) imply:
% 177.30/27.78 | | | | (25) all_52_3 = e0
% 177.30/27.78 | | | |
% 177.30/27.78 | | | | SIMP: (25) implies:
% 177.30/27.78 | | | | (26) all_52_3 = e0
% 177.30/27.78 | | | |
% 177.30/27.78 | | | | REDUCE: (17), (26) imply:
% 177.30/27.78 | | | | (27) op(e0, e0) = unit
% 177.30/27.78 | | | |
% 177.30/27.78 | | | | GROUND_INST: instantiating (4) with e0, unit, e0, e0, simplifying with
% 177.30/27.78 | | | | (7), (27) gives:
% 177.30/27.78 | | | | (28) unit = e0
% 177.30/27.78 | | | |
% 177.30/27.78 | | | | REDUCE: (14), (28) imply:
% 177.30/27.78 | | | | (29) op(e3, e0) = e3
% 177.30/27.78 | | | |
% 177.30/27.78 | | | | REDUCE: (5), (28) imply:
% 177.30/27.78 | | | | (30) op(e2, e0) = e2
% 177.30/27.78 | | | |
% 177.30/27.78 | | | | GROUND_INST: instantiating (4) with all_22_1, e2, e0, e2, simplifying
% 177.30/27.78 | | | | with (16), (30) gives:
% 177.30/27.78 | | | | (31) all_22_1 = e2
% 177.30/27.78 | | | |
% 177.30/27.78 | | | | GROUND_INST: instantiating (4) with all_61_12, e3, e0, e3, simplifying
% 177.30/27.78 | | | | with (12), (29) gives:
% 177.30/27.78 | | | | (32) all_61_12 = e3
% 177.30/27.78 | | | |
% 177.30/27.78 | | | | REDUCE: (1), (32) imply:
% 177.30/27.78 | | | | (33) ~ (all_61_4 = e3)
% 177.30/27.78 | | | |
% 177.30/27.78 | | | | REDUCE: (18), (31) imply:
% 177.30/27.78 | | | | (34) ~ (all_61_4 = e2)
% 177.30/27.78 | | | |
% 177.30/27.78 | | | | REF_CLOSE: (6), (8), (10), (15), (33), (34) are inconsistent by
% 177.30/27.78 | | | | sub-proof #418.
% 177.30/27.78 | | | |
% 177.30/27.78 | | | End of split
% 177.30/27.78 | | |
% 177.30/27.78 | | End of split
% 177.30/27.78 | |
% 177.30/27.78 | End of split
% 177.30/27.78 |
% 177.30/27.78 End of proof
% 177.30/27.78
% 177.30/27.78 Sub-proof #162 shows that the following formulas are inconsistent:
% 177.30/27.78 ----------------------------------------------------------------
% 177.30/27.78 (1) op(e2, e1) = unit
% 177.30/27.78 (2) ~ (all_22_1 = e1)
% 177.30/27.78 (3) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 177.30/27.78 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 177.30/27.78 (4) op(unit, e1) = e1
% 177.30/27.78 (5) op(e2, e1) = all_61_9
% 177.30/27.78 (6) op(all_61_9, e1) = all_22_1
% 177.30/27.78
% 177.30/27.78 Begin of proof
% 177.30/27.78 |
% 177.30/27.79 | GROUND_INST: instantiating (3) with all_61_9, unit, e1, e2, simplifying with
% 177.30/27.79 | (1), (5) gives:
% 177.30/27.79 | (7) all_61_9 = unit
% 177.30/27.79 |
% 177.30/27.79 | REDUCE: (6), (7) imply:
% 177.30/27.79 | (8) op(unit, e1) = all_22_1
% 177.30/27.79 |
% 177.30/27.79 | GROUND_INST: instantiating (3) with e1, all_22_1, e1, unit, simplifying with
% 177.30/27.79 | (4), (8) gives:
% 177.30/27.79 | (9) all_22_1 = e1
% 177.30/27.79 |
% 177.30/27.79 | REDUCE: (2), (9) imply:
% 177.30/27.79 | (10) $false
% 177.30/27.79 |
% 177.30/27.79 | CLOSE: (10) is inconsistent.
% 177.30/27.79 |
% 177.30/27.79 End of proof
% 177.30/27.79
% 177.30/27.79 Sub-proof #163 shows that the following formulas are inconsistent:
% 177.30/27.79 ----------------------------------------------------------------
% 177.30/27.79 (1) all_63_6 = all_61_9
% 177.30/27.79 (2) ~ (all_61_1 = all_61_9)
% 177.30/27.79 (3) all_63_4 = e3 | all_63_4 = e2 | all_63_4 = e1 | all_63_4 = e0
% 177.30/27.79 (4) all_63_4 = all_61_1
% 177.30/27.79 (5) all_63_6 = e3 | all_63_6 = e2 | all_63_6 = e1 | all_63_6 = e0
% 177.30/27.79 (6) ~ (all_61_1 = e3)
% 177.30/27.79 (7) ~ (all_61_9 = e0)
% 177.30/27.79 (8) ~ (all_61_1 = e1)
% 177.30/27.79 (9) ~ (all_61_1 = e0)
% 177.30/27.79 (10) ~ (all_61_9 = e1)
% 177.30/27.79 (11) ~ (all_61_9 = e3)
% 177.30/27.79
% 177.30/27.79 Begin of proof
% 177.30/27.79 |
% 177.30/27.79 | BETA: splitting (5) gives:
% 177.30/27.79 |
% 177.30/27.79 | Case 1:
% 177.30/27.79 | |
% 177.30/27.79 | | (12) all_63_6 = e3
% 177.30/27.79 | |
% 177.30/27.79 | | COMBINE_EQS: (1), (12) imply:
% 177.30/27.79 | | (13) all_61_9 = e3
% 177.30/27.79 | |
% 177.30/27.79 | | REDUCE: (11), (13) imply:
% 177.30/27.79 | | (14) $false
% 177.30/27.79 | |
% 177.30/27.79 | | CLOSE: (14) is inconsistent.
% 177.30/27.79 | |
% 177.30/27.79 | Case 2:
% 177.30/27.79 | |
% 177.30/27.79 | | (15) all_63_6 = e2 | all_63_6 = e1 | all_63_6 = e0
% 177.30/27.79 | |
% 177.30/27.79 | | REF_CLOSE: (1), (2), (3), (4), (6), (7), (8), (9), (10), (15) are
% 177.30/27.79 | | inconsistent by sub-proof #164.
% 177.30/27.79 | |
% 177.30/27.79 | End of split
% 177.30/27.79 |
% 177.30/27.79 End of proof
% 177.30/27.79
% 177.30/27.79 Sub-proof #164 shows that the following formulas are inconsistent:
% 177.30/27.79 ----------------------------------------------------------------
% 177.30/27.79 (1) all_63_6 = all_61_9
% 177.30/27.79 (2) ~ (all_61_1 = all_61_9)
% 177.30/27.79 (3) all_63_4 = e3 | all_63_4 = e2 | all_63_4 = e1 | all_63_4 = e0
% 177.30/27.79 (4) all_63_4 = all_61_1
% 177.30/27.79 (5) all_63_6 = e2 | all_63_6 = e1 | all_63_6 = e0
% 177.30/27.79 (6) ~ (all_61_1 = e3)
% 177.30/27.79 (7) ~ (all_61_9 = e0)
% 177.30/27.79 (8) ~ (all_61_1 = e1)
% 177.30/27.79 (9) ~ (all_61_1 = e0)
% 177.30/27.79 (10) ~ (all_61_9 = e1)
% 177.30/27.79
% 177.30/27.79 Begin of proof
% 177.30/27.79 |
% 177.30/27.79 | BETA: splitting (3) gives:
% 177.30/27.79 |
% 177.30/27.79 | Case 1:
% 177.30/27.79 | |
% 177.30/27.79 | | (11) all_63_4 = e3
% 177.30/27.79 | |
% 177.30/27.79 | | COMBINE_EQS: (4), (11) imply:
% 177.30/27.79 | | (12) all_61_1 = e3
% 177.30/27.79 | |
% 177.30/27.79 | | REDUCE: (6), (12) imply:
% 177.30/27.79 | | (13) $false
% 177.30/27.79 | |
% 177.30/27.79 | | CLOSE: (13) is inconsistent.
% 177.30/27.79 | |
% 177.30/27.79 | Case 2:
% 177.30/27.79 | |
% 177.30/27.79 | | (14) all_63_4 = e2 | all_63_4 = e1 | all_63_4 = e0
% 177.30/27.79 | |
% 177.30/27.79 | | REF_CLOSE: (1), (2), (4), (5), (7), (8), (9), (10), (14) are inconsistent by
% 177.30/27.79 | | sub-proof #409.
% 177.30/27.79 | |
% 177.30/27.79 | End of split
% 177.30/27.79 |
% 177.30/27.79 End of proof
% 177.30/27.79
% 177.30/27.79 Sub-proof #165 shows that the following formulas are inconsistent:
% 177.30/27.79 ----------------------------------------------------------------
% 177.30/27.79 (1) all_65_38 = e1
% 177.30/27.79 (2) all_65_38 = all_22_1
% 177.30/27.79 (3) unit = e2 | unit = e1 | unit = e0
% 177.30/27.79 (4) ~ (unit = e0)
% 177.30/27.79 (5) ~ (all_22_1 = unit)
% 177.30/27.79 (6) all_8_1 = e2
% 177.30/27.79 (7) ~ (all_8_1 = unit)
% 177.30/27.79
% 177.30/27.79 Begin of proof
% 177.30/27.79 |
% 177.30/27.79 | COMBINE_EQS: (1), (2) imply:
% 177.30/27.79 | (8) all_22_1 = e1
% 177.30/27.79 |
% 177.30/27.79 | REDUCE: (5), (8) imply:
% 177.30/27.79 | (9) ~ (unit = e1)
% 177.30/27.79 |
% 177.30/27.79 | SIMP: (9) implies:
% 177.30/27.79 | (10) ~ (unit = e1)
% 177.30/27.79 |
% 177.30/27.79 | REDUCE: (6), (7) imply:
% 177.30/27.79 | (11) ~ (unit = e2)
% 177.30/27.79 |
% 177.30/27.79 | SIMP: (11) implies:
% 177.30/27.79 | (12) ~ (unit = e2)
% 177.30/27.79 |
% 177.30/27.79 | REF_CLOSE: (3), (4), (10), (12) are inconsistent by sub-proof #398.
% 177.30/27.79 |
% 177.30/27.79 End of proof
% 177.30/27.79
% 177.30/27.79 Sub-proof #166 shows that the following formulas are inconsistent:
% 177.30/27.79 ----------------------------------------------------------------
% 177.30/27.79 (1) all_58_3 = e1
% 177.30/27.79 (2) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 177.30/27.79 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 177.30/27.79 (3) op(all_8_1, e1) = e0
% 177.30/27.79 (4) op(e1, e0) = all_8_1
% 177.30/27.79 (5) all_58_2 = e0
% 177.30/27.79 (6) op(unit, e1) = e1
% 177.30/27.79 (7) all_58_3 = all_52_3
% 177.30/27.79 (8) all_58_2 = all_52_2
% 177.30/27.79 (9) op(e1, all_52_2) = unit
% 177.30/27.79 (10) ~ (all_52_2 = all_52_3)
% 177.30/27.79
% 177.30/27.79 Begin of proof
% 177.30/27.79 |
% 177.30/27.79 | COMBINE_EQS: (5), (8) imply:
% 177.30/27.79 | (11) all_52_2 = e0
% 177.30/27.79 |
% 177.30/27.79 | SIMP: (11) implies:
% 177.30/27.79 | (12) all_52_2 = e0
% 177.30/27.79 |
% 177.30/27.79 | COMBINE_EQS: (1), (7) imply:
% 177.30/27.79 | (13) all_52_3 = e1
% 177.30/27.79 |
% 177.30/27.79 | REF_CLOSE: (2), (3), (4), (6), (9), (10), (12), (13) are inconsistent by
% 177.30/27.79 | sub-proof #167.
% 177.30/27.79 |
% 177.30/27.79 End of proof
% 177.30/27.79
% 177.30/27.79 Sub-proof #167 shows that the following formulas are inconsistent:
% 177.30/27.79 ----------------------------------------------------------------
% 177.30/27.79 (1) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 177.30/27.79 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 177.30/27.79 (2) op(all_8_1, e1) = e0
% 177.30/27.79 (3) all_52_2 = e0
% 177.30/27.79 (4) op(e1, e0) = all_8_1
% 177.30/27.79 (5) op(unit, e1) = e1
% 177.30/27.79 (6) all_52_3 = e1
% 177.30/27.79 (7) op(e1, all_52_2) = unit
% 177.30/27.79 (8) ~ (all_52_2 = all_52_3)
% 177.30/27.79
% 177.30/27.79 Begin of proof
% 177.30/27.79 |
% 177.30/27.79 | REDUCE: (3), (6), (8) imply:
% 177.30/27.79 | (9) ~ (e1 = e0)
% 177.30/27.79 |
% 177.30/27.79 | SIMP: (9) implies:
% 177.30/27.79 | (10) ~ (e1 = e0)
% 177.30/27.79 |
% 177.30/27.79 | REDUCE: (3), (7) imply:
% 177.30/27.79 | (11) op(e1, e0) = unit
% 177.30/27.79 |
% 177.30/27.79 | REF_CLOSE: (1), (2), (4), (5), (10), (11) are inconsistent by sub-proof #182.
% 177.30/27.79 |
% 177.30/27.79 End of proof
% 177.30/27.79
% 177.30/27.79 Sub-proof #168 shows that the following formulas are inconsistent:
% 177.30/27.79 ----------------------------------------------------------------
% 177.30/27.79 (1) ~ (all_58_2 = e0) | all_58_3 = e1
% 177.30/27.79 (2) all_56_2 = e3 | all_56_2 = e2 | all_56_2 = e1 | all_56_2 = e0
% 177.30/27.79 (3) all_56_2 = all_52_2
% 177.30/27.79 (4) op(e1, e1) = e0
% 177.30/27.79 (5) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 177.30/27.79 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 177.30/27.79 (6) ~ (all_52_2 = e3)
% 177.30/27.79 (7) ~ (all_61_12 = e3)
% 177.30/27.79 (8) all_58_3 = all_52_3
% 177.30/27.79 (9) ~ (all_52_2 = e2)
% 177.30/27.79 (10) all_58_2 = all_52_2
% 177.30/27.79 (11) ~ (all_52_3 = e1)
% 177.30/27.79 (12) op(e3, e0) = all_61_12
% 177.30/27.79 (13) op(e3, unit) = e3
% 177.30/27.79 (14) op(e1, all_52_2) = unit
% 177.30/27.79
% 177.30/27.79 Begin of proof
% 177.30/27.79 |
% 177.30/27.79 | BETA: splitting (1) gives:
% 177.30/27.79 |
% 177.30/27.79 | Case 1:
% 177.30/27.79 | |
% 177.30/27.79 | | (15) ~ (all_58_2 = e0)
% 177.30/27.79 | |
% 177.30/27.79 | | REDUCE: (10), (15) imply:
% 177.30/27.79 | | (16) ~ (all_52_2 = e0)
% 177.30/27.79 | |
% 177.30/27.79 | | REF_CLOSE: (2), (3), (4), (5), (6), (7), (9), (12), (13), (14), (16) are
% 177.30/27.79 | | inconsistent by sub-proof #169.
% 177.30/27.79 | |
% 177.30/27.79 | Case 2:
% 177.30/27.79 | |
% 177.30/27.79 | | (17) all_58_3 = e1
% 177.30/27.79 | |
% 177.30/27.79 | | REF_CLOSE: (8), (11), (17) are inconsistent by sub-proof #460.
% 177.30/27.79 | |
% 177.30/27.79 | End of split
% 177.30/27.79 |
% 177.30/27.79 End of proof
% 177.30/27.79
% 177.30/27.79 Sub-proof #169 shows that the following formulas are inconsistent:
% 177.30/27.79 ----------------------------------------------------------------
% 177.30/27.79 (1) all_56_2 = e3 | all_56_2 = e2 | all_56_2 = e1 | all_56_2 = e0
% 177.30/27.79 (2) all_56_2 = all_52_2
% 177.30/27.79 (3) op(e1, e1) = e0
% 177.30/27.79 (4) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 177.30/27.79 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 177.30/27.79 (5) ~ (all_52_2 = e0)
% 177.30/27.79 (6) ~ (all_52_2 = e3)
% 177.30/27.79 (7) ~ (all_61_12 = e3)
% 177.30/27.79 (8) ~ (all_52_2 = e2)
% 177.30/27.79 (9) op(e3, e0) = all_61_12
% 177.30/27.79 (10) op(e3, unit) = e3
% 177.30/27.79 (11) op(e1, all_52_2) = unit
% 177.30/27.79
% 177.30/27.79 Begin of proof
% 177.30/27.79 |
% 177.30/27.79 | BETA: splitting (1) gives:
% 177.30/27.79 |
% 177.30/27.79 | Case 1:
% 177.30/27.79 | |
% 177.30/27.79 | | (12) all_56_2 = e3
% 177.30/27.79 | |
% 177.30/27.79 | | COMBINE_EQS: (2), (12) imply:
% 177.30/27.79 | | (13) all_52_2 = e3
% 177.30/27.79 | |
% 177.30/27.79 | | REDUCE: (6), (13) imply:
% 177.30/27.79 | | (14) $false
% 177.30/27.79 | |
% 177.30/27.79 | | CLOSE: (14) is inconsistent.
% 177.30/27.79 | |
% 177.30/27.79 | Case 2:
% 177.30/27.79 | |
% 177.30/27.79 | | (15) all_56_2 = e2 | all_56_2 = e1 | all_56_2 = e0
% 177.30/27.79 | |
% 177.30/27.79 | | BETA: splitting (15) gives:
% 177.30/27.79 | |
% 177.30/27.79 | | Case 1:
% 177.30/27.79 | | |
% 177.30/27.79 | | | (16) all_56_2 = e2
% 177.30/27.79 | | |
% 177.30/27.79 | | | COMBINE_EQS: (2), (16) imply:
% 177.30/27.79 | | | (17) all_52_2 = e2
% 177.30/27.79 | | |
% 177.30/27.79 | | | REDUCE: (8), (17) imply:
% 177.30/27.79 | | | (18) $false
% 177.30/27.79 | | |
% 177.30/27.79 | | | CLOSE: (18) is inconsistent.
% 177.30/27.79 | | |
% 177.30/27.79 | | Case 2:
% 177.30/27.79 | | |
% 177.30/27.79 | | | (19) all_56_2 = e1 | all_56_2 = e0
% 177.30/27.79 | | |
% 177.30/27.79 | | | BETA: splitting (19) gives:
% 177.30/27.79 | | |
% 177.30/27.79 | | | Case 1:
% 177.30/27.79 | | | |
% 177.30/27.79 | | | | (20) all_56_2 = e1
% 177.30/27.79 | | | |
% 177.30/27.79 | | | | COMBINE_EQS: (2), (20) imply:
% 177.30/27.79 | | | | (21) all_52_2 = e1
% 177.30/27.79 | | | |
% 177.30/27.79 | | | | REDUCE: (11), (21) imply:
% 177.30/27.79 | | | | (22) op(e1, e1) = unit
% 177.30/27.79 | | | |
% 177.30/27.79 | | | | GROUND_INST: instantiating (4) with e0, unit, e1, e1, simplifying with
% 177.30/27.79 | | | | (3), (22) gives:
% 177.30/27.79 | | | | (23) unit = e0
% 177.30/27.79 | | | |
% 177.30/27.79 | | | | REDUCE: (10), (23) imply:
% 177.30/27.79 | | | | (24) op(e3, e0) = e3
% 177.30/27.79 | | | |
% 177.30/27.79 | | | | GROUND_INST: instantiating (4) with all_61_12, e3, e0, e3, simplifying
% 177.30/27.79 | | | | with (9), (24) gives:
% 177.30/27.79 | | | | (25) all_61_12 = e3
% 177.30/27.79 | | | |
% 177.30/27.79 | | | | REDUCE: (7), (25) imply:
% 177.30/27.79 | | | | (26) $false
% 177.30/27.79 | | | |
% 177.30/27.79 | | | | CLOSE: (26) is inconsistent.
% 177.30/27.79 | | | |
% 177.30/27.79 | | | Case 2:
% 177.30/27.79 | | | |
% 177.30/27.79 | | | | (27) all_56_2 = e0
% 177.30/27.79 | | | |
% 177.30/27.79 | | | | COMBINE_EQS: (2), (27) imply:
% 177.30/27.79 | | | | (28) all_52_2 = e0
% 177.30/27.79 | | | |
% 177.30/27.79 | | | | REDUCE: (5), (28) imply:
% 177.30/27.79 | | | | (29) $false
% 177.30/27.79 | | | |
% 177.30/27.79 | | | | CLOSE: (29) is inconsistent.
% 177.30/27.79 | | | |
% 177.30/27.79 | | | End of split
% 177.30/27.79 | | |
% 177.30/27.79 | | End of split
% 177.30/27.79 | |
% 177.30/27.79 | End of split
% 177.30/27.79 |
% 177.30/27.79 End of proof
% 177.30/27.79
% 177.30/27.79 Sub-proof #170 shows that the following formulas are inconsistent:
% 177.30/27.79 ----------------------------------------------------------------
% 177.30/27.79 (1) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 177.30/27.79 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 177.30/27.79 (2) op(e1, e0) = all_8_1
% 177.30/27.79 (3) op(unit, e1) = e1
% 177.30/27.79 (4) op(all_8_1, e1) = e3
% 177.30/27.79 (5) op(e1, e0) = unit
% 177.30/27.79 (6) ~ (e3 = e1)
% 177.30/27.79
% 177.30/27.79 Begin of proof
% 177.30/27.79 |
% 177.30/27.79 | GROUND_INST: instantiating (1) with all_8_1, unit, e0, e1, simplifying with
% 177.30/27.79 | (2), (5) gives:
% 177.30/27.79 | (7) all_8_1 = unit
% 177.30/27.79 |
% 177.30/27.79 | REDUCE: (4), (7) imply:
% 177.30/27.79 | (8) op(unit, e1) = e3
% 177.30/27.79 |
% 177.30/27.79 | GROUND_INST: instantiating (1) with e1, e3, e1, unit, simplifying with (3),
% 177.30/27.79 | (8) gives:
% 177.30/27.79 | (9) e3 = e1
% 177.30/27.79 |
% 177.30/27.79 | REDUCE: (6), (9) imply:
% 177.30/27.79 | (10) $false
% 177.30/27.79 |
% 177.30/27.79 | CLOSE: (10) is inconsistent.
% 177.30/27.79 |
% 177.30/27.79 End of proof
% 177.30/27.79
% 177.30/27.79 Sub-proof #171 shows that the following formulas are inconsistent:
% 177.30/27.79 ----------------------------------------------------------------
% 177.30/27.79 (1) all_56_2 = e3 | all_56_2 = e2 | all_56_2 = e1 | all_56_2 = e0
% 177.30/27.79 (2) all_56_2 = all_52_2
% 177.30/27.79 (3) op(e1, e1) = e0
% 177.30/27.79 (4) ~ (all_61_9 = e2)
% 177.30/27.79 (5) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 177.30/27.79 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 177.30/27.79 (6) op(e1, all_61_9) = all_65_38
% 177.30/27.79 (7) ~ (all_52_2 = e0)
% 177.30/27.79 (8) op(e2, unit) = e2
% 177.30/27.79 (9) ~ (all_61_13 = e2)
% 177.30/27.79 (10) op(e1, e2) = all_61_6
% 177.30/27.79 (11) ~ (all_52_2 = e3)
% 177.30/27.79 (12) ~ (all_58_2 = e2) | all_58_1 = e1
% 177.30/27.79 (13) op(e2, all_52_1) = unit
% 177.30/27.79 (14) all_58_2 = all_52_2
% 177.30/27.79 (15) op(e2, e0) = all_61_13
% 177.30/27.79 (16) ~ (all_61_9 = e0)
% 177.30/27.79 (17) unit = e2 | unit = e1 | unit = e0
% 177.30/27.79 (18) op(e1, all_61_6) = all_61_7
% 177.30/27.79 (19) all_58_1 = all_52_1
% 177.30/27.79 (20) op(e1, unit) = e1
% 177.30/27.79 (21) op(e1, all_52_2) = unit
% 177.30/27.79 (22) op(e2, e1) = all_61_9
% 177.30/27.79 (23) op(all_61_9, e1) = all_61_13
% 177.30/27.79
% 177.30/27.79 Begin of proof
% 177.30/27.79 |
% 177.30/27.79 | BETA: splitting (12) gives:
% 177.30/27.79 |
% 177.30/27.79 | Case 1:
% 177.30/27.79 | |
% 177.30/27.79 | | (24) ~ (all_58_2 = e2)
% 177.30/27.79 | |
% 177.30/27.79 | | REDUCE: (14), (24) imply:
% 177.30/27.79 | | (25) ~ (all_52_2 = e2)
% 177.30/27.79 | |
% 177.30/27.79 | | REF_CLOSE: (1), (2), (3), (5), (7), (8), (9), (11), (15), (21), (25) are
% 177.30/27.79 | | inconsistent by sub-proof #203.
% 177.30/27.79 | |
% 177.30/27.79 | Case 2:
% 177.30/27.79 | |
% 177.30/27.79 | | (26) all_58_2 = e2
% 177.30/27.79 | | (27) all_58_1 = e1
% 177.30/27.79 | |
% 177.30/27.79 | | REF_CLOSE: (3), (4), (5), (6), (10), (13), (14), (16), (17), (18), (19),
% 177.30/27.79 | | (20), (21), (22), (23), (26), (27) are inconsistent by sub-proof
% 177.30/27.79 | | #172.
% 177.30/27.79 | |
% 177.30/27.79 | End of split
% 177.30/27.79 |
% 177.30/27.79 End of proof
% 177.30/27.79
% 177.30/27.79 Sub-proof #172 shows that the following formulas are inconsistent:
% 177.30/27.79 ----------------------------------------------------------------
% 177.30/27.79 (1) op(e1, e1) = e0
% 177.30/27.79 (2) ~ (all_61_9 = e2)
% 177.30/27.79 (3) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 177.30/27.79 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 177.30/27.79 (4) op(e1, all_61_9) = all_65_38
% 177.30/27.79 (5) op(e1, e2) = all_61_6
% 177.30/27.79 (6) op(e2, all_52_1) = unit
% 177.30/27.79 (7) all_58_2 = all_52_2
% 177.30/27.79 (8) ~ (all_61_9 = e0)
% 177.30/27.79 (9) unit = e2 | unit = e1 | unit = e0
% 177.30/27.79 (10) op(e1, all_61_6) = all_61_7
% 177.30/27.79 (11) all_58_1 = all_52_1
% 177.30/27.79 (12) all_58_1 = e1
% 177.30/27.79 (13) op(e1, unit) = e1
% 177.30/27.79 (14) op(e1, all_52_2) = unit
% 177.30/27.79 (15) op(e2, e1) = all_61_9
% 177.30/27.79 (16) all_58_2 = e2
% 177.30/27.79 (17) op(all_61_9, e1) = all_61_13
% 177.30/27.79
% 177.30/27.79 Begin of proof
% 177.30/27.79 |
% 177.30/27.79 | COMBINE_EQS: (11), (12) imply:
% 177.30/27.79 | (18) all_52_1 = e1
% 177.30/27.79 |
% 177.30/27.79 | SIMP: (18) implies:
% 177.30/27.79 | (19) all_52_1 = e1
% 177.30/27.79 |
% 177.30/27.79 | COMBINE_EQS: (7), (16) imply:
% 177.30/27.79 | (20) all_52_2 = e2
% 177.30/27.79 |
% 177.30/27.79 | SIMP: (20) implies:
% 177.30/27.79 | (21) all_52_2 = e2
% 177.30/27.79 |
% 177.30/27.79 | REF_CLOSE: (1), (2), (3), (4), (5), (6), (8), (9), (10), (13), (14), (15),
% 177.30/27.79 | (17), (19), (21) are inconsistent by sub-proof #184.
% 177.30/27.79 |
% 177.30/27.79 End of proof
% 177.30/27.79
% 177.30/27.79 Sub-proof #173 shows that the following formulas are inconsistent:
% 177.30/27.79 ----------------------------------------------------------------
% 177.30/27.79 (1) all_63_6 = all_61_9
% 177.30/27.79 (2) ~ (all_40_1 = e0)
% 177.30/27.79 (3) ~ (all_61_9 = e2)
% 177.30/27.79 (4) all_63_8 = all_40_1
% 177.30/27.79 (5) all_63_11 = all_8_1
% 177.30/27.79 (6) all_63_2 = all_40_1
% 177.30/27.79 (7) all_63_12 = all_28_1
% 177.30/27.79 (8) ~ (all_28_1 = all_8_1)
% 177.30/27.79 (9) ~ (all_61_9 = all_8_1)
% 177.30/27.79 (10) ~ (all_40_1 = all_8_1)
% 177.30/27.79 (11) all_63_11 = e3 | all_63_11 = e2 | all_63_11 = e1 | all_63_11 = e0
% 177.30/27.79 (12) all_63_6 = e3 | all_63_6 = e2 | all_63_6 = e1 | all_63_6 = e0
% 177.30/27.79 (13) all_63_2 = e3 | all_63_2 = e2 | all_63_2 = e1 | all_63_2 = e0
% 177.30/27.79 (14) ~ (all_40_1 = all_28_1)
% 177.30/27.79 (15) all_63_12 = e3 | all_63_12 = e2 | all_63_12 = e1 | all_63_12 = e0
% 177.30/27.79 (16) ~ (all_61_9 = all_40_1)
% 177.30/27.79 (17) all_63_3 = e3 | all_63_3 = e2 | all_63_3 = e1 | all_63_3 = e0
% 177.30/27.79 (18) ~ (all_61_9 = e0)
% 177.30/27.79 (19) ~ (all_40_1 = e1)
% 177.30/27.79 (20) all_63_3 = all_28_1
% 177.30/27.79 (21) ~ (all_28_1 = e1)
% 177.30/27.79 (22) ~ (all_28_1 = e0)
% 177.30/27.79 (23) all_63_8 = e3 | all_63_8 = e2 | all_63_8 = e1 | all_63_8 = e0
% 177.30/27.79 (24) ~ (all_28_1 = e3)
% 177.30/27.79 (25) ~ (all_8_1 = e0)
% 177.30/27.79
% 177.30/27.79 Begin of proof
% 177.30/27.79 |
% 177.30/27.79 | BETA: splitting (15) gives:
% 177.30/27.79 |
% 177.30/27.79 | Case 1:
% 177.30/27.79 | |
% 177.30/27.79 | | (26) all_63_12 = e3
% 177.30/27.79 | |
% 177.30/27.79 | | COMBINE_EQS: (7), (26) imply:
% 177.30/27.79 | | (27) all_28_1 = e3
% 177.30/27.79 | |
% 177.30/27.79 | | REDUCE: (24), (27) imply:
% 177.30/27.79 | | (28) $false
% 177.30/27.79 | |
% 177.30/27.79 | | CLOSE: (28) is inconsistent.
% 177.30/27.79 | |
% 177.30/27.79 | Case 2:
% 177.30/27.79 | |
% 177.30/27.79 | | (29) ~ (all_63_12 = e3)
% 177.30/27.79 | | (30) all_63_12 = e2 | all_63_12 = e1 | all_63_12 = e0
% 177.30/27.79 | |
% 177.30/27.79 | | BETA: splitting (30) gives:
% 177.30/27.79 | |
% 177.30/27.79 | | Case 1:
% 177.30/27.79 | | |
% 177.30/27.79 | | | (31) all_63_12 = e2
% 177.30/27.79 | | |
% 177.30/27.79 | | | COMBINE_EQS: (7), (31) imply:
% 177.30/27.79 | | | (32) all_28_1 = e2
% 177.30/27.79 | | |
% 177.30/27.79 | | | REDUCE: (14), (32) imply:
% 177.30/27.79 | | | (33) ~ (all_40_1 = e2)
% 177.30/27.79 | | |
% 177.30/27.79 | | | REDUCE: (8), (32) imply:
% 177.30/27.79 | | | (34) ~ (all_8_1 = e2)
% 177.30/27.79 | | |
% 177.30/27.79 | | | SIMP: (34) implies:
% 177.30/27.79 | | | (35) ~ (all_8_1 = e2)
% 177.30/27.79 | | |
% 177.30/27.79 | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (9), (10), (11), (12), (13),
% 177.30/27.79 | | | (16), (18), (19), (23), (25), (33), (35) are inconsistent by
% 177.30/27.79 | | | sub-proof #174.
% 177.30/27.79 | | |
% 177.30/27.79 | | Case 2:
% 177.30/27.79 | | |
% 177.30/27.79 | | | (36) ~ (all_63_12 = e2)
% 177.30/27.79 | | |
% 177.30/27.79 | | | REDUCE: (7), (36) imply:
% 177.30/27.79 | | | (37) ~ (all_28_1 = e2)
% 177.30/27.79 | | |
% 177.30/27.79 | | | REF_CLOSE: (17), (20), (21), (22), (24), (37) are inconsistent by
% 177.30/27.79 | | | sub-proof #430.
% 177.30/27.79 | | |
% 177.30/27.79 | | End of split
% 177.30/27.79 | |
% 177.30/27.79 | End of split
% 177.30/27.79 |
% 177.30/27.79 End of proof
% 177.30/27.79
% 177.30/27.79 Sub-proof #174 shows that the following formulas are inconsistent:
% 177.30/27.79 ----------------------------------------------------------------
% 177.30/27.79 (1) all_63_6 = all_61_9
% 177.30/27.79 (2) ~ (all_40_1 = e0)
% 177.30/27.79 (3) ~ (all_61_9 = e2)
% 177.30/27.79 (4) all_63_8 = all_40_1
% 177.30/27.79 (5) all_63_11 = all_8_1
% 177.30/27.79 (6) all_63_2 = all_40_1
% 177.30/27.79 (7) ~ (all_61_9 = all_8_1)
% 177.30/27.79 (8) ~ (all_40_1 = all_8_1)
% 177.30/27.79 (9) all_63_11 = e3 | all_63_11 = e2 | all_63_11 = e1 | all_63_11 = e0
% 177.30/27.79 (10) all_63_6 = e3 | all_63_6 = e2 | all_63_6 = e1 | all_63_6 = e0
% 177.30/27.79 (11) all_63_2 = e3 | all_63_2 = e2 | all_63_2 = e1 | all_63_2 = e0
% 177.30/27.79 (12) ~ (all_61_9 = all_40_1)
% 177.30/27.79 (13) ~ (all_61_9 = e0)
% 177.30/27.79 (14) ~ (all_40_1 = e1)
% 177.30/27.79 (15) ~ (all_8_1 = e2)
% 177.30/27.79 (16) ~ (all_40_1 = e2)
% 177.30/27.79 (17) all_63_8 = e3 | all_63_8 = e2 | all_63_8 = e1 | all_63_8 = e0
% 177.30/27.79 (18) ~ (all_8_1 = e0)
% 177.30/27.79
% 177.30/27.79 Begin of proof
% 177.30/27.79 |
% 177.30/27.79 | BETA: splitting (11) gives:
% 177.30/27.79 |
% 177.30/27.79 | Case 1:
% 177.30/27.79 | |
% 177.30/27.79 | | (19) all_63_2 = e3
% 177.30/27.79 | |
% 177.30/27.79 | | COMBINE_EQS: (6), (19) imply:
% 177.30/27.79 | | (20) all_40_1 = e3
% 177.30/27.79 | |
% 177.30/27.79 | | REDUCE: (12), (20) imply:
% 177.30/27.79 | | (21) ~ (all_61_9 = e3)
% 177.30/27.79 | |
% 177.30/27.79 | | REDUCE: (8), (20) imply:
% 177.30/27.79 | | (22) ~ (all_8_1 = e3)
% 177.30/27.79 | |
% 177.30/27.79 | | SIMP: (22) implies:
% 177.30/27.79 | | (23) ~ (all_8_1 = e3)
% 177.30/27.79 | |
% 177.30/27.79 | | REF_CLOSE: (1), (3), (5), (7), (9), (10), (13), (15), (18), (21), (23) are
% 177.30/27.79 | | inconsistent by sub-proof #175.
% 177.30/27.79 | |
% 177.30/27.79 | Case 2:
% 177.30/27.79 | |
% 177.30/27.79 | | (24) ~ (all_63_2 = e3)
% 177.30/27.79 | |
% 177.30/27.79 | | REDUCE: (6), (24) imply:
% 177.30/27.79 | | (25) ~ (all_40_1 = e3)
% 177.30/27.79 | |
% 177.30/27.79 | | REF_CLOSE: (2), (4), (14), (16), (17), (25) are inconsistent by sub-proof
% 177.30/27.79 | | #432.
% 177.30/27.79 | |
% 177.30/27.79 | End of split
% 177.30/27.79 |
% 177.30/27.79 End of proof
% 177.30/27.79
% 177.30/27.79 Sub-proof #175 shows that the following formulas are inconsistent:
% 177.30/27.79 ----------------------------------------------------------------
% 177.30/27.79 (1) all_63_6 = all_61_9
% 177.30/27.79 (2) ~ (all_61_9 = e2)
% 177.30/27.79 (3) all_63_11 = all_8_1
% 177.30/27.79 (4) ~ (all_61_9 = all_8_1)
% 177.30/27.79 (5) ~ (all_8_1 = e3)
% 177.30/27.79 (6) all_63_11 = e3 | all_63_11 = e2 | all_63_11 = e1 | all_63_11 = e0
% 177.30/27.79 (7) all_63_6 = e3 | all_63_6 = e2 | all_63_6 = e1 | all_63_6 = e0
% 177.30/27.79 (8) ~ (all_61_9 = e0)
% 177.30/27.79 (9) ~ (all_8_1 = e2)
% 177.30/27.79 (10) ~ (all_8_1 = e0)
% 177.30/27.79 (11) ~ (all_61_9 = e3)
% 177.30/27.79
% 177.30/27.79 Begin of proof
% 177.30/27.79 |
% 177.30/27.79 | BETA: splitting (7) gives:
% 177.30/27.79 |
% 177.30/27.79 | Case 1:
% 177.30/27.79 | |
% 177.30/27.79 | | (12) all_63_6 = e3
% 177.30/27.79 | |
% 177.30/27.79 | | COMBINE_EQS: (1), (12) imply:
% 177.30/27.79 | | (13) all_61_9 = e3
% 177.30/27.79 | |
% 177.30/27.79 | | REDUCE: (11), (13) imply:
% 177.30/27.79 | | (14) $false
% 177.30/27.79 | |
% 177.30/27.79 | | CLOSE: (14) is inconsistent.
% 177.30/27.79 | |
% 177.30/27.79 | Case 2:
% 177.30/27.79 | |
% 177.30/27.79 | | (15) all_63_6 = e2 | all_63_6 = e1 | all_63_6 = e0
% 177.30/27.79 | |
% 177.30/27.79 | | BETA: splitting (6) gives:
% 177.30/27.79 | |
% 177.30/27.79 | | Case 1:
% 177.30/27.79 | | |
% 177.30/27.79 | | | (16) all_63_11 = e3
% 177.30/27.79 | | |
% 177.30/27.79 | | | COMBINE_EQS: (3), (16) imply:
% 177.30/27.79 | | | (17) all_8_1 = e3
% 177.30/27.79 | | |
% 177.30/27.79 | | | REDUCE: (5), (17) imply:
% 177.30/27.79 | | | (18) $false
% 177.30/27.79 | | |
% 177.30/27.79 | | | CLOSE: (18) is inconsistent.
% 177.30/27.79 | | |
% 177.30/27.79 | | Case 2:
% 177.30/27.79 | | |
% 177.30/27.79 | | | (19) all_63_11 = e2 | all_63_11 = e1 | all_63_11 = e0
% 177.30/27.79 | | |
% 177.30/27.79 | | | BETA: splitting (19) gives:
% 177.30/27.79 | | |
% 177.30/27.79 | | | Case 1:
% 177.30/27.79 | | | |
% 177.30/27.79 | | | | (20) all_63_11 = e2
% 177.30/27.79 | | | |
% 177.30/27.79 | | | | COMBINE_EQS: (3), (20) imply:
% 177.30/27.79 | | | | (21) all_8_1 = e2
% 177.30/27.79 | | | |
% 177.30/27.79 | | | | REDUCE: (9), (21) imply:
% 177.30/27.79 | | | | (22) $false
% 177.30/27.79 | | | |
% 177.30/27.79 | | | | CLOSE: (22) is inconsistent.
% 177.30/27.79 | | | |
% 177.30/27.79 | | | Case 2:
% 177.30/27.79 | | | |
% 177.30/27.79 | | | | (23) all_63_11 = e1 | all_63_11 = e0
% 177.30/27.79 | | | |
% 177.30/27.79 | | | | BETA: splitting (23) gives:
% 177.30/27.79 | | | |
% 177.30/27.79 | | | | Case 1:
% 177.30/27.79 | | | | |
% 177.30/27.79 | | | | | (24) all_63_11 = e1
% 177.30/27.79 | | | | |
% 177.30/27.79 | | | | | COMBINE_EQS: (3), (24) imply:
% 177.30/27.79 | | | | | (25) all_8_1 = e1
% 177.30/27.79 | | | | |
% 177.30/27.79 | | | | | REDUCE: (4), (25) imply:
% 177.30/27.79 | | | | | (26) ~ (all_61_9 = e1)
% 177.30/27.79 | | | | |
% 177.30/27.79 | | | | | REF_CLOSE: (1), (2), (8), (15), (26) are inconsistent by sub-proof
% 177.30/27.79 | | | | | #410.
% 177.30/27.79 | | | | |
% 177.30/27.79 | | | | Case 2:
% 177.30/27.79 | | | | |
% 177.30/27.79 | | | | | (27) all_63_11 = e0
% 177.30/27.79 | | | | |
% 177.30/27.79 | | | | | COMBINE_EQS: (3), (27) imply:
% 177.30/27.79 | | | | | (28) all_8_1 = e0
% 177.30/27.79 | | | | |
% 177.30/27.79 | | | | | REDUCE: (10), (28) imply:
% 177.30/27.79 | | | | | (29) $false
% 177.30/27.79 | | | | |
% 177.30/27.79 | | | | | CLOSE: (29) is inconsistent.
% 177.30/27.79 | | | | |
% 177.30/27.79 | | | | End of split
% 177.30/27.79 | | | |
% 177.30/27.79 | | | End of split
% 177.30/27.79 | | |
% 177.30/27.79 | | End of split
% 177.30/27.79 | |
% 177.30/27.79 | End of split
% 177.30/27.79 |
% 177.30/27.79 End of proof
% 177.30/27.79
% 177.30/27.79 Sub-proof #176 shows that the following formulas are inconsistent:
% 177.30/27.79 ----------------------------------------------------------------
% 177.30/27.79 (1) all_63_6 = all_61_9
% 177.30/27.79 (2) ~ (all_61_8 = all_61_9)
% 177.30/27.79 (3) ~ (all_61_9 = e2)
% 177.30/27.79 (4) all_63_11 = all_8_1
% 177.30/27.79 (5) ~ (all_61_8 = e0)
% 177.30/27.79 (6) ~ (all_61_9 = all_8_1)
% 177.30/27.79 (7) all_63_11 = e3 | all_63_11 = e2 | all_63_11 = e1 | all_63_11 = e0
% 177.30/27.79 (8) ~ (all_8_1 = e1)
% 177.30/27.79 (9) all_63_6 = e3 | all_63_6 = e2 | all_63_6 = e1 | all_63_6 = e0
% 177.30/27.79 (10) all_63_2 = e3 | all_63_2 = e2 | all_63_2 = e1 | all_63_2 = e0
% 177.30/27.79 (11) ~ (all_61_8 = all_8_1)
% 177.30/27.79 (12) ~ (all_61_9 = e0)
% 177.30/27.79 (13) ~ (all_61_9 = e1)
% 177.30/27.79 (14) ~ (all_8_1 = e0)
% 177.30/27.79 (15) ~ (all_61_8 = e1)
% 177.30/27.79 (16) all_63_2 = all_61_8
% 177.30/27.79
% 177.30/27.79 Begin of proof
% 177.30/27.79 |
% 177.30/27.79 | BETA: splitting (9) gives:
% 177.30/27.79 |
% 177.30/27.79 | Case 1:
% 177.30/27.79 | |
% 177.30/27.79 | | (17) all_63_6 = e3
% 177.30/27.79 | |
% 177.30/27.79 | | COMBINE_EQS: (1), (17) imply:
% 177.30/27.79 | | (18) all_61_9 = e3
% 177.30/27.79 | |
% 177.30/27.79 | | REDUCE: (2), (18) imply:
% 177.30/27.79 | | (19) ~ (all_61_8 = e3)
% 177.30/27.79 | |
% 177.30/27.79 | | REDUCE: (6), (18) imply:
% 177.30/27.79 | | (20) ~ (all_8_1 = e3)
% 177.30/27.79 | |
% 177.30/27.79 | | SIMP: (20) implies:
% 177.30/27.79 | | (21) ~ (all_8_1 = e3)
% 177.30/27.79 | |
% 177.30/27.79 | | REF_CLOSE: (4), (5), (7), (8), (10), (11), (14), (15), (16), (19), (21) are
% 177.30/27.79 | | inconsistent by sub-proof #200.
% 177.30/27.79 | |
% 177.30/27.79 | Case 2:
% 177.30/27.79 | |
% 177.30/27.79 | | (22) all_63_6 = e2 | all_63_6 = e1 | all_63_6 = e0
% 177.30/27.79 | |
% 177.30/27.79 | | REF_CLOSE: (1), (3), (12), (13), (22) are inconsistent by sub-proof #410.
% 177.30/27.79 | |
% 177.30/27.79 | End of split
% 177.30/27.79 |
% 177.30/27.79 End of proof
% 177.30/27.79
% 177.30/27.79 Sub-proof #177 shows that the following formulas are inconsistent:
% 177.30/27.79 ----------------------------------------------------------------
% 177.30/27.79 (1) op(e3, e1) = unit
% 177.30/27.79 (2) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 177.30/27.79 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 177.30/27.79 (3) ~ (all_36_1 = e1)
% 177.30/27.79 (4) op(e3, e1) = all_61_8
% 177.30/27.79 (5) op(unit, e1) = e1
% 177.30/27.79 (6) op(all_61_8, e1) = all_36_1
% 177.30/27.79
% 177.30/27.79 Begin of proof
% 177.30/27.79 |
% 177.30/27.79 | GROUND_INST: instantiating (2) with all_61_8, unit, e1, e3, simplifying with
% 177.30/27.79 | (1), (4) gives:
% 177.30/27.79 | (7) all_61_8 = unit
% 177.30/27.79 |
% 177.30/27.79 | REDUCE: (6), (7) imply:
% 177.30/27.79 | (8) op(unit, e1) = all_36_1
% 177.30/27.79 |
% 177.30/27.79 | GROUND_INST: instantiating (2) with e1, all_36_1, e1, unit, simplifying with
% 177.30/27.79 | (5), (8) gives:
% 177.30/27.79 | (9) all_36_1 = e1
% 177.30/27.79 |
% 177.30/27.79 | REDUCE: (3), (9) imply:
% 177.30/27.79 | (10) $false
% 177.30/27.79 |
% 177.30/27.79 | CLOSE: (10) is inconsistent.
% 177.30/27.79 |
% 177.30/27.79 End of proof
% 177.30/27.79
% 177.30/27.79 Sub-proof #178 shows that the following formulas are inconsistent:
% 177.30/27.79 ----------------------------------------------------------------
% 177.30/27.79 (1) ~ (all_61_6 = e2)
% 177.30/27.79 (2) ~ (all_61_6 = e0)
% 177.30/27.79 (3) all_63_9 = all_61_6
% 177.30/27.79 (4) ~ (all_61_6 = e1)
% 177.30/27.79 (5) all_63_9 = e2 | all_63_9 = e1 | all_63_9 = e0
% 177.30/27.79
% 177.30/27.79 Begin of proof
% 177.30/27.79 |
% 177.30/27.79 | BETA: splitting (5) gives:
% 177.30/27.79 |
% 177.30/27.79 | Case 1:
% 177.30/27.79 | |
% 177.30/27.79 | | (6) all_63_9 = e2
% 177.30/27.79 | |
% 177.30/27.79 | | COMBINE_EQS: (3), (6) imply:
% 177.30/27.79 | | (7) all_61_6 = e2
% 177.30/27.79 | |
% 177.30/27.79 | | REDUCE: (1), (7) imply:
% 177.30/27.79 | | (8) $false
% 177.30/27.79 | |
% 177.30/27.79 | | CLOSE: (8) is inconsistent.
% 177.30/27.79 | |
% 177.30/27.79 | Case 2:
% 177.30/27.79 | |
% 177.30/27.79 | | (9) all_63_9 = e1 | all_63_9 = e0
% 177.30/27.79 | |
% 177.30/27.80 | | REF_CLOSE: (2), (3), (4), (9) are inconsistent by sub-proof #367.
% 177.30/27.80 | |
% 177.30/27.80 | End of split
% 177.30/27.80 |
% 177.30/27.80 End of proof
% 177.30/27.80
% 177.30/27.80 Sub-proof #179 shows that the following formulas are inconsistent:
% 177.30/27.80 ----------------------------------------------------------------
% 177.30/27.80 (1) ~ (all_61_1 = e2)
% 177.30/27.80 (2) ~ (all_61_1 = all_61_3)
% 177.30/27.80 (3) all_63_12 = all_61_12
% 177.30/27.80 (4) ~ (all_61_3 = e1)
% 177.30/27.80 (5) all_63_4 = all_61_1
% 177.30/27.80 (6) ~ (all_61_12 = e3)
% 177.30/27.80 (7) all_63_4 = e2 | all_63_4 = e1 | all_63_4 = e0
% 177.30/27.80 (8) all_63_12 = e3 | all_63_12 = e2 | all_63_12 = e1 | all_63_12 = e0
% 177.30/27.80 (9) ~ (all_61_1 = e1)
% 177.30/27.80 (10) all_63_12 = all_61_3
% 177.30/27.80 (11) ~ (all_61_12 = e2)
% 177.30/27.80
% 177.30/27.80 Begin of proof
% 177.30/27.80 |
% 177.30/27.80 | BETA: splitting (7) gives:
% 177.30/27.80 |
% 177.30/27.80 | Case 1:
% 177.30/27.80 | |
% 177.30/27.80 | | (12) all_63_4 = e2
% 177.30/27.80 | |
% 177.30/27.80 | | COMBINE_EQS: (5), (12) imply:
% 177.30/27.80 | | (13) all_61_1 = e2
% 177.30/27.80 | |
% 177.30/27.80 | | REDUCE: (1), (13) imply:
% 177.30/27.80 | | (14) $false
% 177.30/27.80 | |
% 177.30/27.80 | | CLOSE: (14) is inconsistent.
% 177.30/27.80 | |
% 177.30/27.80 | Case 2:
% 177.30/27.80 | |
% 177.30/27.80 | | (15) all_63_4 = e1 | all_63_4 = e0
% 177.30/27.80 | |
% 177.30/27.80 | | REF_CLOSE: (2), (3), (4), (5), (6), (8), (9), (10), (11), (15) are
% 177.30/27.80 | | inconsistent by sub-proof #180.
% 177.30/27.80 | |
% 177.30/27.80 | End of split
% 177.30/27.80 |
% 177.30/27.80 End of proof
% 177.30/27.80
% 177.30/27.80 Sub-proof #180 shows that the following formulas are inconsistent:
% 177.30/27.80 ----------------------------------------------------------------
% 177.30/27.80 (1) ~ (all_61_1 = all_61_3)
% 177.30/27.80 (2) all_63_12 = all_61_12
% 177.30/27.80 (3) ~ (all_61_3 = e1)
% 177.30/27.80 (4) all_63_4 = all_61_1
% 177.30/27.80 (5) ~ (all_61_12 = e3)
% 177.30/27.80 (6) all_63_12 = e3 | all_63_12 = e2 | all_63_12 = e1 | all_63_12 = e0
% 177.30/27.80 (7) all_63_4 = e1 | all_63_4 = e0
% 177.30/27.80 (8) ~ (all_61_1 = e1)
% 177.30/27.80 (9) all_63_12 = all_61_3
% 177.30/27.80 (10) ~ (all_61_12 = e2)
% 177.30/27.80
% 177.30/27.80 Begin of proof
% 177.30/27.80 |
% 177.30/27.80 | BETA: splitting (6) gives:
% 177.30/27.80 |
% 177.30/27.80 | Case 1:
% 177.30/27.80 | |
% 177.30/27.80 | | (11) all_63_12 = e3
% 177.30/27.80 | |
% 177.30/27.80 | | COMBINE_EQS: (2), (11) imply:
% 177.30/27.80 | | (12) all_61_12 = e3
% 177.30/27.80 | |
% 177.30/27.80 | | REDUCE: (5), (12) imply:
% 177.30/27.80 | | (13) $false
% 177.30/27.80 | |
% 177.30/27.80 | | CLOSE: (13) is inconsistent.
% 177.30/27.80 | |
% 177.30/27.80 | Case 2:
% 177.30/27.80 | |
% 177.30/27.80 | | (14) all_63_12 = e2 | all_63_12 = e1 | all_63_12 = e0
% 177.30/27.80 | |
% 177.30/27.80 | | BETA: splitting (14) gives:
% 177.30/27.80 | |
% 177.30/27.80 | | Case 1:
% 177.30/27.80 | | |
% 177.30/27.80 | | | (15) all_63_12 = e2
% 177.30/27.80 | | |
% 177.30/27.80 | | | COMBINE_EQS: (2), (15) imply:
% 177.30/27.80 | | | (16) all_61_12 = e2
% 177.30/27.80 | | |
% 177.30/27.80 | | | REDUCE: (10), (16) imply:
% 177.30/27.80 | | | (17) $false
% 177.30/27.80 | | |
% 177.30/27.80 | | | CLOSE: (17) is inconsistent.
% 177.30/27.80 | | |
% 177.30/27.80 | | Case 2:
% 177.30/27.80 | | |
% 177.30/27.80 | | | (18) all_63_12 = e1 | all_63_12 = e0
% 177.30/27.80 | | |
% 177.30/27.80 | | | REF_CLOSE: (1), (3), (4), (7), (8), (9), (18) are inconsistent by
% 177.30/27.80 | | | sub-proof #192.
% 177.30/27.80 | | |
% 177.30/27.80 | | End of split
% 177.30/27.80 | |
% 177.30/27.80 | End of split
% 177.30/27.80 |
% 177.30/27.80 End of proof
% 177.30/27.80
% 177.30/27.80 Sub-proof #181 shows that the following formulas are inconsistent:
% 177.30/27.80 ----------------------------------------------------------------
% 177.30/27.80 (1) all_56_2 = e3 | all_56_2 = e2 | all_56_2 = e1 | all_56_2 = e0
% 177.30/27.80 (2) all_56_2 = all_52_2
% 177.30/27.80 (3) op(e1, e1) = e0
% 177.30/27.80 (4) all_58_0 = all_52_0
% 177.30/27.80 (5) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 177.30/27.80 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 177.30/27.80 (6) ~ (all_52_2 = e0)
% 177.30/27.80 (7) ~ (all_52_0 = e1)
% 177.30/27.80 (8) ~ (all_52_2 = e2)
% 177.30/27.80 (9) all_58_2 = all_52_2
% 177.30/27.80 (10) op(e0, e0) = e1
% 177.30/27.80 (11) ~ (all_58_2 = e3) | all_58_0 = e1
% 177.30/27.80 (12) op(e1, all_52_2) = unit
% 177.30/27.80 (13) op(e0, unit) = e0
% 177.30/27.80
% 177.30/27.80 Begin of proof
% 177.30/27.80 |
% 177.30/27.80 | BETA: splitting (11) gives:
% 177.30/27.80 |
% 177.30/27.80 | Case 1:
% 177.30/27.80 | |
% 177.30/27.80 | | (14) ~ (all_58_2 = e3)
% 177.30/27.80 | |
% 177.30/27.80 | | REDUCE: (9), (14) imply:
% 177.30/27.80 | | (15) ~ (all_52_2 = e3)
% 177.30/27.80 | |
% 177.30/27.80 | | REF_CLOSE: (1), (2), (3), (5), (6), (8), (10), (12), (13), (15) are
% 177.30/27.80 | | inconsistent by sub-proof #194.
% 177.30/27.80 | |
% 177.30/27.80 | Case 2:
% 177.30/27.80 | |
% 177.30/27.80 | | (16) all_58_0 = e1
% 177.30/27.80 | |
% 177.30/27.80 | | REF_CLOSE: (4), (7), (16) are inconsistent by sub-proof #470.
% 177.30/27.80 | |
% 177.30/27.80 | End of split
% 177.30/27.80 |
% 177.30/27.80 End of proof
% 177.30/27.80
% 177.30/27.80 Sub-proof #182 shows that the following formulas are inconsistent:
% 177.30/27.80 ----------------------------------------------------------------
% 177.30/27.80 (1) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 177.30/27.80 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 177.30/27.80 (2) op(all_8_1, e1) = e0
% 177.30/27.80 (3) op(e1, e0) = all_8_1
% 177.30/27.80 (4) op(unit, e1) = e1
% 177.30/27.80 (5) ~ (e1 = e0)
% 177.30/27.80 (6) op(e1, e0) = unit
% 177.30/27.80
% 177.30/27.80 Begin of proof
% 177.30/27.80 |
% 177.30/27.80 | GROUND_INST: instantiating (1) with all_8_1, unit, e0, e1, simplifying with
% 177.30/27.80 | (3), (6) gives:
% 177.30/27.80 | (7) all_8_1 = unit
% 177.30/27.80 |
% 177.30/27.80 | REDUCE: (2), (7) imply:
% 177.30/27.80 | (8) op(unit, e1) = e0
% 177.30/27.80 |
% 177.30/27.80 | GROUND_INST: instantiating (1) with e1, e0, e1, unit, simplifying with (4),
% 177.30/27.80 | (8) gives:
% 177.30/27.80 | (9) e1 = e0
% 177.30/27.80 |
% 177.30/27.80 | REDUCE: (5), (9) imply:
% 177.30/27.80 | (10) $false
% 177.30/27.80 |
% 177.30/27.80 | CLOSE: (10) is inconsistent.
% 177.30/27.80 |
% 177.30/27.80 End of proof
% 177.30/27.80
% 177.30/27.80 Sub-proof #183 shows that the following formulas are inconsistent:
% 177.30/27.80 ----------------------------------------------------------------
% 177.30/27.80 (1) op(e1, e1) = e0
% 177.30/27.80 (2) ~ (all_61_9 = e2)
% 177.30/27.80 (3) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 177.30/27.80 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 177.30/27.80 (4) op(e1, all_61_9) = all_65_38
% 177.30/27.80 (5) op(e1, e2) = all_61_6
% 177.30/27.80 (6) op(e2, all_52_1) = unit
% 177.30/27.80 (7) all_58_2 = all_52_2
% 177.30/27.80 (8) ~ (all_61_9 = e0)
% 177.30/27.80 (9) unit = e2 | unit = e1 | unit = e0
% 177.30/27.80 (10) op(e1, all_61_6) = all_61_7
% 177.30/27.80 (11) all_58_1 = all_52_1
% 177.30/27.80 (12) all_58_1 = e1
% 177.30/27.80 (13) op(e1, unit) = e1
% 177.30/27.80 (14) op(e1, all_52_2) = unit
% 177.30/27.80 (15) op(e2, e1) = all_61_9
% 177.30/27.80 (16) all_58_2 = e2
% 177.30/27.80 (17) op(all_61_9, e1) = all_61_13
% 177.30/27.80
% 177.30/27.80 Begin of proof
% 177.30/27.80 |
% 177.30/27.80 | COMBINE_EQS: (11), (12) imply:
% 177.30/27.80 | (18) all_52_1 = e1
% 177.30/27.80 |
% 177.30/27.80 | SIMP: (18) implies:
% 177.30/27.80 | (19) all_52_1 = e1
% 177.30/27.80 |
% 177.30/27.80 | COMBINE_EQS: (7), (16) imply:
% 177.30/27.80 | (20) all_52_2 = e2
% 177.30/27.80 |
% 177.30/27.80 | REF_CLOSE: (1), (2), (3), (4), (5), (6), (8), (9), (10), (13), (14), (15),
% 177.30/27.80 | (17), (19), (20) are inconsistent by sub-proof #184.
% 177.30/27.80 |
% 177.30/27.80 End of proof
% 177.30/27.80
% 177.30/27.80 Sub-proof #184 shows that the following formulas are inconsistent:
% 177.30/27.80 ----------------------------------------------------------------
% 177.30/27.80 (1) op(e1, e1) = e0
% 177.30/27.80 (2) ~ (all_61_9 = e2)
% 177.30/27.80 (3) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 177.30/27.80 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 177.30/27.80 (4) op(e1, all_61_9) = all_65_38
% 177.30/27.80 (5) op(e1, e2) = all_61_6
% 177.30/27.80 (6) all_52_2 = e2
% 177.30/27.80 (7) op(e2, all_52_1) = unit
% 177.30/27.80 (8) ~ (all_61_9 = e0)
% 177.30/27.80 (9) unit = e2 | unit = e1 | unit = e0
% 177.30/27.80 (10) op(e1, all_61_6) = all_61_7
% 177.30/27.80 (11) op(e1, unit) = e1
% 177.30/27.80 (12) all_52_1 = e1
% 177.30/27.80 (13) op(e1, all_52_2) = unit
% 177.30/27.80 (14) op(e2, e1) = all_61_9
% 177.30/27.80 (15) op(all_61_9, e1) = all_61_13
% 177.30/27.80
% 177.30/27.80 Begin of proof
% 177.30/27.80 |
% 177.30/27.80 | REDUCE: (7), (12) imply:
% 177.30/27.80 | (16) op(e2, e1) = unit
% 177.30/27.80 |
% 177.30/27.80 | REDUCE: (6), (13) imply:
% 177.30/27.80 | (17) op(e1, e2) = unit
% 177.30/27.80 |
% 177.30/27.80 | REF_CLOSE: (1), (2), (3), (4), (5), (8), (9), (10), (11), (14), (15), (16),
% 177.30/27.80 | (17) are inconsistent by sub-proof #185.
% 177.30/27.80 |
% 177.30/27.80 End of proof
% 177.30/27.80
% 177.30/27.80 Sub-proof #185 shows that the following formulas are inconsistent:
% 177.30/27.80 ----------------------------------------------------------------
% 177.30/27.80 (1) op(e2, e1) = unit
% 177.30/27.80 (2) op(e1, e1) = e0
% 177.30/27.80 (3) ~ (all_61_9 = e2)
% 177.30/27.80 (4) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 177.30/27.80 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 177.30/27.80 (5) op(e1, all_61_9) = all_65_38
% 177.30/27.80 (6) op(e1, e2) = all_61_6
% 177.30/27.80 (7) op(e1, e2) = unit
% 177.30/27.80 (8) ~ (all_61_9 = e0)
% 177.30/27.80 (9) unit = e2 | unit = e1 | unit = e0
% 177.30/27.80 (10) op(e1, all_61_6) = all_61_7
% 177.30/27.80 (11) op(e1, unit) = e1
% 177.30/27.80 (12) op(e2, e1) = all_61_9
% 177.30/27.80 (13) op(all_61_9, e1) = all_61_13
% 177.30/27.80
% 177.30/27.80 Begin of proof
% 177.30/27.80 |
% 177.30/27.80 | GROUND_INST: instantiating (4) with all_61_6, unit, e2, e1, simplifying with
% 177.30/27.80 | (6), (7) gives:
% 177.30/27.80 | (14) all_61_6 = unit
% 177.30/27.80 |
% 177.30/27.80 | GROUND_INST: instantiating (4) with all_61_9, unit, e1, e2, simplifying with
% 177.30/27.80 | (1), (12) gives:
% 177.30/27.80 | (15) all_61_9 = unit
% 177.30/27.80 |
% 177.30/27.80 | REDUCE: (3), (15) imply:
% 177.30/27.80 | (16) ~ (unit = e2)
% 177.30/27.80 |
% 177.30/27.80 | REDUCE: (8), (15) imply:
% 177.30/27.80 | (17) ~ (unit = e0)
% 177.30/27.80 |
% 177.30/27.80 | REDUCE: (13), (15) imply:
% 177.30/27.80 | (18) op(unit, e1) = all_61_13
% 177.30/27.80 |
% 177.30/27.80 | REDUCE: (10), (14) imply:
% 177.30/27.80 | (19) op(e1, unit) = all_61_7
% 177.30/27.80 |
% 177.30/27.80 | REDUCE: (5), (15) imply:
% 177.30/27.80 | (20) op(e1, unit) = all_65_38
% 177.30/27.80 |
% 177.30/27.80 | BETA: splitting (9) gives:
% 177.30/27.80 |
% 177.30/27.80 | Case 1:
% 177.30/27.80 | |
% 177.30/27.80 | | (21) unit = e2
% 177.30/27.80 | |
% 177.30/27.80 | | REDUCE: (16), (21) imply:
% 177.30/27.80 | | (22) $false
% 177.30/27.80 | |
% 177.30/27.80 | | CLOSE: (22) is inconsistent.
% 177.30/27.80 | |
% 177.30/27.80 | Case 2:
% 177.30/27.80 | |
% 177.30/27.80 | | (23) unit = e1 | unit = e0
% 177.30/27.80 | |
% 177.30/27.80 | | BETA: splitting (23) gives:
% 177.30/27.80 | |
% 177.30/27.80 | | Case 1:
% 177.30/27.80 | | |
% 177.30/27.80 | | | (24) unit = e1
% 177.30/27.80 | | |
% 177.30/27.80 | | | REDUCE: (17), (24) imply:
% 177.30/27.80 | | | (25) ~ (e1 = e0)
% 177.30/27.80 | | |
% 177.30/27.80 | | | REDUCE: (18), (24) imply:
% 177.30/27.80 | | | (26) op(e1, e1) = all_61_13
% 177.30/27.80 | | |
% 177.30/27.80 | | | REDUCE: (20), (24) imply:
% 177.30/27.80 | | | (27) op(e1, e1) = all_65_38
% 177.30/27.80 | | |
% 177.30/27.80 | | | REDUCE: (19), (24) imply:
% 177.30/27.80 | | | (28) op(e1, e1) = all_61_7
% 177.30/27.80 | | |
% 177.30/27.80 | | | REDUCE: (11), (24) imply:
% 177.30/27.80 | | | (29) op(e1, e1) = e1
% 177.30/27.80 | | |
% 177.30/27.80 | | | GROUND_INST: instantiating (4) with e0, all_61_7, e1, e1, simplifying with
% 177.30/27.80 | | | (2), (28) gives:
% 177.30/27.80 | | | (30) all_61_7 = e0
% 177.30/27.80 | | |
% 177.30/27.80 | | | GROUND_INST: instantiating (4) with all_61_7, all_65_38, e1, e1,
% 177.30/27.80 | | | simplifying with (27), (28) gives:
% 177.30/27.80 | | | (31) all_65_38 = all_61_7
% 177.30/27.80 | | |
% 177.30/27.80 | | | GROUND_INST: instantiating (4) with all_61_13, all_65_38, e1, e1,
% 177.30/27.80 | | | simplifying with (26), (27) gives:
% 177.30/27.80 | | | (32) all_65_38 = all_61_13
% 177.30/27.80 | | |
% 177.30/27.80 | | | GROUND_INST: instantiating (4) with e1, all_65_38, e1, e1, simplifying
% 177.30/27.80 | | | with (27), (29) gives:
% 177.30/27.80 | | | (33) all_65_38 = e1
% 177.30/27.80 | | |
% 177.30/27.80 | | | COMBINE_EQS: (31), (32) imply:
% 177.30/27.80 | | | (34) all_61_7 = all_61_13
% 177.30/27.80 | | |
% 177.30/27.80 | | | SIMP: (34) implies:
% 177.30/27.80 | | | (35) all_61_7 = all_61_13
% 177.30/27.80 | | |
% 177.30/27.80 | | | COMBINE_EQS: (32), (33) imply:
% 177.30/27.80 | | | (36) all_61_13 = e1
% 177.30/27.80 | | |
% 177.30/27.80 | | | COMBINE_EQS: (30), (35) imply:
% 177.30/27.80 | | | (37) all_61_13 = e0
% 177.30/27.80 | | |
% 177.30/27.80 | | | SIMP: (37) implies:
% 177.30/27.80 | | | (38) all_61_13 = e0
% 177.30/27.80 | | |
% 177.30/27.80 | | | COMBINE_EQS: (36), (38) imply:
% 177.30/27.80 | | | (39) e1 = e0
% 177.30/27.80 | | |
% 177.30/27.80 | | | REDUCE: (25), (39) imply:
% 177.30/27.80 | | | (40) $false
% 177.30/27.80 | | |
% 177.30/27.80 | | | CLOSE: (40) is inconsistent.
% 177.30/27.80 | | |
% 177.30/27.80 | | Case 2:
% 177.30/27.80 | | |
% 177.30/27.80 | | | (41) unit = e0
% 177.30/27.80 | | |
% 177.30/27.80 | | | REDUCE: (17), (41) imply:
% 177.30/27.80 | | | (42) $false
% 177.30/27.80 | | |
% 177.30/27.80 | | | CLOSE: (42) is inconsistent.
% 177.30/27.80 | | |
% 177.30/27.80 | | End of split
% 177.30/27.80 | |
% 177.30/27.80 | End of split
% 177.30/27.80 |
% 177.30/27.80 End of proof
% 177.30/27.80
% 177.30/27.80 Sub-proof #186 shows that the following formulas are inconsistent:
% 177.30/27.80 ----------------------------------------------------------------
% 177.30/27.80 (1) ~ (all_40_1 = e0)
% 177.30/27.80 (2) all_63_8 = all_40_1
% 177.30/27.80 (3) ~ (all_61_1 = e2)
% 177.30/27.80 (4) all_63_3 = all_61_12
% 177.30/27.80 (5) all_63_4 = e3 | all_63_4 = e2 | all_63_4 = e1 | all_63_4 = e0
% 177.30/27.80 (6) all_63_12 = all_61_12
% 177.30/27.80 (7) ~ (all_61_1 = unit)
% 177.30/27.80 (8) all_63_4 = all_61_1
% 177.30/27.80 (9) ~ (unit = e1)
% 177.30/27.80 (10) all_63_12 = e3 | all_63_12 = e2 | all_63_12 = e1 | all_63_12 = e0
% 177.30/27.80 (11) all_63_3 = e3 | all_63_3 = e2 | all_63_3 = e1 | all_63_3 = e0
% 177.30/27.80 (12) ~ (all_40_1 = e1)
% 177.30/27.80 (13) ~ (all_61_1 = e1)
% 177.30/27.80 (14) ~ (all_61_12 = e1)
% 177.30/27.80 (15) ~ (all_61_1 = all_61_12)
% 177.30/27.80 (16) ~ (all_61_12 = unit)
% 177.30/27.80 (17) ~ (all_61_12 = all_40_1)
% 177.30/27.80 (18) ~ (all_61_1 = all_40_1)
% 177.30/27.80 (19) all_63_8 = e3 | all_63_8 = e2 | all_63_8 = e1 | all_63_8 = e0
% 177.30/27.80 (20) unit = e1 | unit = e0
% 177.30/27.80
% 177.30/27.80 Begin of proof
% 177.30/27.80 |
% 177.30/27.80 | BETA: splitting (20) gives:
% 177.30/27.80 |
% 177.30/27.80 | Case 1:
% 177.30/27.80 | |
% 177.30/27.80 | | (21) unit = e1
% 177.30/27.80 | |
% 177.30/27.80 | | REDUCE: (9), (21) imply:
% 177.30/27.80 | | (22) $false
% 177.30/27.80 | |
% 177.30/27.80 | | CLOSE: (22) is inconsistent.
% 177.30/27.80 | |
% 177.30/27.80 | Case 2:
% 177.30/27.80 | |
% 177.30/27.80 | | (23) unit = e0
% 177.30/27.80 | |
% 177.30/27.80 | | REDUCE: (7), (23) imply:
% 177.30/27.80 | | (24) ~ (all_61_1 = e0)
% 177.30/27.80 | |
% 177.30/27.80 | | REDUCE: (16), (23) imply:
% 177.30/27.80 | | (25) ~ (all_61_12 = e0)
% 177.30/27.80 | |
% 177.30/27.80 | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (8), (10), (11), (12), (13), (14),
% 177.30/27.80 | | (15), (17), (18), (19), (24), (25) are inconsistent by sub-proof
% 177.30/27.80 | | #187.
% 177.30/27.80 | |
% 177.30/27.80 | End of split
% 177.30/27.80 |
% 177.30/27.80 End of proof
% 177.30/27.80
% 177.30/27.80 Sub-proof #187 shows that the following formulas are inconsistent:
% 177.30/27.80 ----------------------------------------------------------------
% 177.30/27.80 (1) ~ (all_40_1 = e0)
% 177.30/27.80 (2) all_63_8 = all_40_1
% 177.30/27.80 (3) ~ (all_61_1 = e2)
% 177.30/27.80 (4) all_63_3 = all_61_12
% 177.30/27.80 (5) all_63_4 = e3 | all_63_4 = e2 | all_63_4 = e1 | all_63_4 = e0
% 177.30/27.80 (6) all_63_12 = all_61_12
% 177.30/27.80 (7) all_63_4 = all_61_1
% 177.30/27.80 (8) all_63_12 = e3 | all_63_12 = e2 | all_63_12 = e1 | all_63_12 = e0
% 177.30/27.80 (9) ~ (all_61_12 = e0)
% 177.30/27.80 (10) all_63_3 = e3 | all_63_3 = e2 | all_63_3 = e1 | all_63_3 = e0
% 177.30/27.80 (11) ~ (all_40_1 = e1)
% 177.30/27.80 (12) ~ (all_61_1 = e1)
% 177.30/27.80 (13) ~ (all_61_1 = e0)
% 177.30/27.80 (14) ~ (all_61_12 = e1)
% 177.30/27.80 (15) ~ (all_61_1 = all_61_12)
% 177.30/27.80 (16) ~ (all_61_12 = all_40_1)
% 177.30/27.80 (17) ~ (all_61_1 = all_40_1)
% 177.30/27.80 (18) all_63_8 = e3 | all_63_8 = e2 | all_63_8 = e1 | all_63_8 = e0
% 177.30/27.80
% 177.30/27.80 Begin of proof
% 177.30/27.80 |
% 177.30/27.80 | BETA: splitting (5) gives:
% 177.30/27.80 |
% 177.30/27.80 | Case 1:
% 177.30/27.80 | |
% 177.30/27.80 | | (19) all_63_4 = e3
% 177.30/27.80 | |
% 177.30/27.80 | | COMBINE_EQS: (7), (19) imply:
% 177.30/27.80 | | (20) all_61_1 = e3
% 177.30/27.80 | |
% 177.30/27.80 | | REDUCE: (15), (20) imply:
% 177.30/27.80 | | (21) ~ (all_61_12 = e3)
% 177.30/27.80 | |
% 177.30/27.80 | | SIMP: (21) implies:
% 177.30/27.80 | | (22) ~ (all_61_12 = e3)
% 177.30/27.80 | |
% 177.30/27.80 | | REDUCE: (17), (20) imply:
% 177.30/27.80 | | (23) ~ (all_40_1 = e3)
% 177.30/27.80 | |
% 177.30/27.80 | | SIMP: (23) implies:
% 177.30/27.80 | | (24) ~ (all_40_1 = e3)
% 177.30/27.80 | |
% 177.30/27.80 | | BETA: splitting (10) gives:
% 177.30/27.80 | |
% 177.30/27.80 | | Case 1:
% 177.30/27.80 | | |
% 177.30/27.80 | | | (25) all_63_3 = e3
% 177.30/27.80 | | |
% 177.30/27.80 | | | REF_CLOSE: (4), (22), (25) are inconsistent by sub-proof #361.
% 177.30/27.80 | | |
% 177.30/27.80 | | Case 2:
% 177.30/27.80 | | |
% 177.30/27.80 | | | (26) ~ (all_63_3 = e3)
% 177.30/27.80 | | | (27) all_63_3 = e2 | all_63_3 = e1 | all_63_3 = e0
% 177.30/27.80 | | |
% 177.30/27.80 | | | BETA: splitting (27) gives:
% 177.30/27.80 | | |
% 177.30/27.80 | | | Case 1:
% 177.30/27.80 | | | |
% 177.30/27.80 | | | | (28) all_63_3 = e2
% 177.30/27.80 | | | |
% 177.30/27.80 | | | | COMBINE_EQS: (4), (28) imply:
% 177.30/27.80 | | | | (29) all_61_12 = e2
% 177.30/27.80 | | | |
% 177.30/27.80 | | | | SIMP: (29) implies:
% 177.30/27.80 | | | | (30) all_61_12 = e2
% 177.30/27.80 | | | |
% 177.30/27.80 | | | | REDUCE: (16), (30) imply:
% 177.30/27.80 | | | | (31) ~ (all_40_1 = e2)
% 177.30/27.80 | | | |
% 177.30/27.80 | | | | SIMP: (31) implies:
% 177.30/27.80 | | | | (32) ~ (all_40_1 = e2)
% 177.30/27.80 | | | |
% 177.30/27.80 | | | | REF_CLOSE: (1), (2), (11), (18), (24), (32) are inconsistent by
% 177.30/27.80 | | | | sub-proof #432.
% 177.30/27.80 | | | |
% 177.30/27.80 | | | Case 2:
% 177.30/27.80 | | | |
% 177.30/27.80 | | | | (33) ~ (all_63_3 = e2)
% 177.30/27.80 | | | |
% 177.30/27.80 | | | | REDUCE: (4), (33) imply:
% 177.30/27.80 | | | | (34) ~ (all_61_12 = e2)
% 177.30/27.80 | | | |
% 177.30/27.80 | | | | REF_CLOSE: (6), (8), (9), (14), (22), (34) are inconsistent by sub-proof
% 177.30/27.80 | | | | #188.
% 177.30/27.80 | | | |
% 177.30/27.80 | | | End of split
% 177.30/27.80 | | |
% 177.30/27.80 | | End of split
% 177.30/27.80 | |
% 177.30/27.80 | Case 2:
% 177.30/27.80 | |
% 177.30/27.80 | | (35) all_63_4 = e2 | all_63_4 = e1 | all_63_4 = e0
% 177.30/27.80 | |
% 177.30/27.80 | | REF_CLOSE: (3), (7), (12), (13), (35) are inconsistent by sub-proof #471.
% 177.30/27.80 | |
% 177.30/27.80 | End of split
% 177.30/27.80 |
% 177.30/27.80 End of proof
% 177.30/27.80
% 177.30/27.80 Sub-proof #188 shows that the following formulas are inconsistent:
% 177.30/27.80 ----------------------------------------------------------------
% 177.30/27.80 (1) all_63_12 = all_61_12
% 177.30/27.80 (2) ~ (all_61_12 = e3)
% 177.30/27.80 (3) all_63_12 = e3 | all_63_12 = e2 | all_63_12 = e1 | all_63_12 = e0
% 177.30/27.80 (4) ~ (all_61_12 = e0)
% 177.30/27.80 (5) ~ (all_61_12 = e1)
% 177.30/27.80 (6) ~ (all_61_12 = e2)
% 177.30/27.80
% 177.30/27.80 Begin of proof
% 177.30/27.80 |
% 177.30/27.80 | BETA: splitting (3) gives:
% 177.30/27.80 |
% 177.30/27.80 | Case 1:
% 177.30/27.80 | |
% 177.30/27.80 | | (7) all_63_12 = e3
% 177.30/27.80 | |
% 177.30/27.80 | | REF_CLOSE: (1), (2), (7) are inconsistent by sub-proof #189.
% 177.30/27.80 | |
% 177.30/27.80 | Case 2:
% 177.30/27.80 | |
% 177.30/27.80 | | (8) all_63_12 = e2 | all_63_12 = e1 | all_63_12 = e0
% 177.30/27.80 | |
% 177.30/27.80 | | REF_CLOSE: (1), (4), (5), (6), (8) are inconsistent by sub-proof #233.
% 177.30/27.80 | |
% 177.30/27.80 | End of split
% 177.30/27.80 |
% 177.30/27.80 End of proof
% 177.30/27.80
% 177.30/27.80 Sub-proof #189 shows that the following formulas are inconsistent:
% 177.30/27.80 ----------------------------------------------------------------
% 177.30/27.80 (1) all_63_12 = all_61_12
% 177.30/27.80 (2) all_63_12 = e3
% 177.30/27.80 (3) ~ (all_61_12 = e3)
% 177.30/27.80
% 177.30/27.80 Begin of proof
% 177.30/27.80 |
% 177.30/27.80 | COMBINE_EQS: (1), (2) imply:
% 177.30/27.80 | (4) all_61_12 = e3
% 177.30/27.80 |
% 177.30/27.80 | SIMP: (4) implies:
% 177.30/27.80 | (5) all_61_12 = e3
% 177.30/27.80 |
% 177.30/27.80 | REDUCE: (3), (5) imply:
% 177.30/27.80 | (6) $false
% 177.30/27.80 |
% 177.30/27.80 | CLOSE: (6) is inconsistent.
% 177.30/27.80 |
% 177.30/27.80 End of proof
% 177.30/27.80
% 177.30/27.80 Sub-proof #190 shows that the following formulas are inconsistent:
% 177.30/27.80 ----------------------------------------------------------------
% 177.30/27.80 (1) ~ (all_8_1 = e1)
% 177.30/27.80 (2) all_63_14 = all_8_1
% 177.30/27.80 (3) ~ (unit = e2)
% 177.30/27.80 (4) all_63_14 = unit
% 177.30/27.80 (5) all_63_14 = e2 | all_63_14 = e1 | all_63_14 = e0
% 177.30/27.80 (6) ~ (all_8_1 = e0)
% 177.30/27.80
% 177.30/27.80 Begin of proof
% 177.30/27.80 |
% 177.30/27.80 | BETA: splitting (5) gives:
% 177.30/27.80 |
% 177.30/27.80 | Case 1:
% 177.30/27.80 | |
% 177.30/27.80 | | (7) all_63_14 = e2
% 177.30/27.80 | |
% 177.30/27.80 | | COMBINE_EQS: (4), (7) imply:
% 177.30/27.80 | | (8) unit = e2
% 177.30/27.80 | |
% 177.30/27.80 | | REDUCE: (3), (8) imply:
% 177.30/27.80 | | (9) $false
% 177.30/27.80 | |
% 177.30/27.80 | | CLOSE: (9) is inconsistent.
% 177.30/27.80 | |
% 177.30/27.80 | Case 2:
% 177.30/27.80 | |
% 177.30/27.80 | | (10) all_63_14 = e1 | all_63_14 = e0
% 177.30/27.80 | |
% 177.30/27.80 | | REF_CLOSE: (1), (2), (6), (10) are inconsistent by sub-proof #205.
% 177.30/27.80 | |
% 177.30/27.80 | End of split
% 177.30/27.80 |
% 177.30/27.80 End of proof
% 177.30/27.80
% 177.30/27.80 Sub-proof #191 shows that the following formulas are inconsistent:
% 177.30/27.80 ----------------------------------------------------------------
% 177.30/27.80 (1) ~ (all_61_2 = e0)
% 177.30/27.80 (2) ~ (all_61_2 = all_61_3)
% 177.30/27.80 (3) ~ (all_61_1 = e2)
% 177.30/27.80 (4) ~ (all_61_1 = all_61_3)
% 177.30/27.80 (5) ~ (all_61_2 = e2)
% 177.30/27.80 (6) ~ (all_61_1 = all_61_2)
% 177.30/27.80 (7) all_63_4 = e3 | all_63_4 = e2 | all_63_4 = e1 | all_63_4 = e0
% 177.30/27.80 (8) all_63_4 = all_61_1
% 177.30/27.80 (9) all_63_12 = e3 | all_63_12 = e2 | all_63_12 = e1 | all_63_12 = e0
% 177.30/27.80 (10) ~ (all_61_1 = e3)
% 177.30/27.80 (11) ~ (all_61_3 = e3)
% 177.30/27.80 (12) ~ (all_61_3 = e2)
% 177.30/27.80 (13) all_63_8 = all_61_2
% 177.30/27.80 (14) all_63_12 = all_61_3
% 177.30/27.80 (15) ~ (all_61_2 = e3)
% 177.30/27.80 (16) all_63_8 = e3 | all_63_8 = e2 | all_63_8 = e1 | all_63_8 = e0
% 177.30/27.80
% 177.30/27.80 Begin of proof
% 177.30/27.80 |
% 177.30/27.80 | BETA: splitting (16) gives:
% 177.30/27.80 |
% 177.30/27.80 | Case 1:
% 177.30/27.80 | |
% 177.30/27.80 | | (17) all_63_8 = e3
% 177.30/27.80 | |
% 177.30/27.80 | | COMBINE_EQS: (13), (17) imply:
% 177.30/27.80 | | (18) all_61_2 = e3
% 177.30/27.80 | |
% 177.30/27.80 | | REDUCE: (15), (18) imply:
% 177.30/27.80 | | (19) $false
% 177.30/27.80 | |
% 177.30/27.80 | | CLOSE: (19) is inconsistent.
% 177.30/27.80 | |
% 177.30/27.80 | Case 2:
% 177.30/27.80 | |
% 177.30/27.80 | | (20) all_63_8 = e2 | all_63_8 = e1 | all_63_8 = e0
% 177.30/27.80 | |
% 177.30/27.80 | | BETA: splitting (20) gives:
% 177.30/27.80 | |
% 177.30/27.80 | | Case 1:
% 177.30/27.80 | | |
% 177.30/27.80 | | | (21) all_63_8 = e2
% 177.30/27.80 | | |
% 177.30/27.80 | | | COMBINE_EQS: (13), (21) imply:
% 177.30/27.80 | | | (22) all_61_2 = e2
% 177.30/27.80 | | |
% 177.30/27.80 | | | REDUCE: (5), (22) imply:
% 177.30/27.80 | | | (23) $false
% 177.30/27.80 | | |
% 177.30/27.80 | | | CLOSE: (23) is inconsistent.
% 177.30/27.80 | | |
% 177.30/27.80 | | Case 2:
% 177.30/27.80 | | |
% 177.30/27.80 | | | (24) all_63_8 = e1 | all_63_8 = e0
% 177.30/27.80 | | |
% 177.30/27.80 | | | BETA: splitting (9) gives:
% 177.30/27.80 | | |
% 177.30/27.80 | | | Case 1:
% 177.30/27.80 | | | |
% 177.30/27.80 | | | | (25) all_63_12 = e3
% 177.30/27.80 | | | |
% 177.30/27.80 | | | | COMBINE_EQS: (14), (25) imply:
% 177.30/27.80 | | | | (26) all_61_3 = e3
% 177.30/27.80 | | | |
% 177.30/27.80 | | | | REDUCE: (11), (26) imply:
% 177.30/27.80 | | | | (27) $false
% 177.30/27.80 | | | |
% 177.30/27.80 | | | | CLOSE: (27) is inconsistent.
% 177.30/27.80 | | | |
% 177.30/27.80 | | | Case 2:
% 177.30/27.80 | | | |
% 177.30/27.80 | | | | (28) all_63_12 = e2 | all_63_12 = e1 | all_63_12 = e0
% 177.30/27.80 | | | |
% 177.30/27.80 | | | | BETA: splitting (28) gives:
% 177.30/27.80 | | | |
% 177.30/27.80 | | | | Case 1:
% 177.30/27.80 | | | | |
% 177.30/27.80 | | | | | (29) all_63_12 = e2
% 177.30/27.80 | | | | |
% 177.30/27.80 | | | | | COMBINE_EQS: (14), (29) imply:
% 177.30/27.80 | | | | | (30) all_61_3 = e2
% 177.30/27.80 | | | | |
% 177.30/27.80 | | | | | REDUCE: (12), (30) imply:
% 177.30/27.80 | | | | | (31) $false
% 177.30/27.80 | | | | |
% 177.30/27.80 | | | | | CLOSE: (31) is inconsistent.
% 177.30/27.80 | | | | |
% 177.30/27.80 | | | | Case 2:
% 177.30/27.80 | | | | |
% 177.30/27.80 | | | | | (32) all_63_12 = e1 | all_63_12 = e0
% 177.30/27.80 | | | | |
% 177.30/27.80 | | | | | BETA: splitting (24) gives:
% 177.30/27.80 | | | | |
% 177.30/27.80 | | | | | Case 1:
% 177.30/27.80 | | | | | |
% 177.30/27.80 | | | | | | (33) all_63_8 = e1
% 177.30/27.80 | | | | | |
% 177.30/27.80 | | | | | | COMBINE_EQS: (13), (33) imply:
% 177.30/27.80 | | | | | | (34) all_61_2 = e1
% 177.30/27.80 | | | | | |
% 177.30/27.80 | | | | | | REDUCE: (6), (34) imply:
% 177.30/27.80 | | | | | | (35) ~ (all_61_1 = e1)
% 177.30/27.80 | | | | | |
% 177.30/27.80 | | | | | | REDUCE: (2), (34) imply:
% 177.30/27.80 | | | | | | (36) ~ (all_61_3 = e1)
% 177.30/27.80 | | | | | |
% 177.30/27.80 | | | | | | SIMP: (36) implies:
% 177.30/27.80 | | | | | | (37) ~ (all_61_3 = e1)
% 177.30/27.80 | | | | | |
% 177.30/27.80 | | | | | | BETA: splitting (7) gives:
% 177.30/27.80 | | | | | |
% 177.30/27.80 | | | | | | Case 1:
% 177.30/27.80 | | | | | | |
% 177.30/27.80 | | | | | | | (38) all_63_4 = e3
% 177.30/27.80 | | | | | | |
% 177.30/27.80 | | | | | | | COMBINE_EQS: (8), (38) imply:
% 177.30/27.80 | | | | | | | (39) all_61_1 = e3
% 177.30/27.80 | | | | | | |
% 177.30/27.80 | | | | | | | REDUCE: (10), (39) imply:
% 177.30/27.80 | | | | | | | (40) $false
% 177.30/27.80 | | | | | | |
% 177.30/27.80 | | | | | | | CLOSE: (40) is inconsistent.
% 177.30/27.80 | | | | | | |
% 177.30/27.80 | | | | | | Case 2:
% 177.30/27.80 | | | | | | |
% 177.30/27.80 | | | | | | | (41) all_63_4 = e2 | all_63_4 = e1 | all_63_4 = e0
% 177.30/27.80 | | | | | | |
% 177.30/27.80 | | | | | | | BETA: splitting (41) gives:
% 177.30/27.80 | | | | | | |
% 177.30/27.80 | | | | | | | Case 1:
% 177.30/27.80 | | | | | | | |
% 177.30/27.80 | | | | | | | | (42) all_63_4 = e2
% 177.30/27.80 | | | | | | | |
% 177.30/27.80 | | | | | | | | COMBINE_EQS: (8), (42) imply:
% 177.30/27.80 | | | | | | | | (43) all_61_1 = e2
% 177.30/27.80 | | | | | | | |
% 177.30/27.80 | | | | | | | | REDUCE: (3), (43) imply:
% 177.30/27.80 | | | | | | | | (44) $false
% 177.30/27.80 | | | | | | | |
% 177.30/27.80 | | | | | | | | CLOSE: (44) is inconsistent.
% 177.30/27.80 | | | | | | | |
% 177.30/27.80 | | | | | | | Case 2:
% 177.30/27.80 | | | | | | | |
% 177.30/27.80 | | | | | | | | (45) all_63_4 = e1 | all_63_4 = e0
% 177.30/27.80 | | | | | | | |
% 177.30/27.80 | | | | | | | | REF_CLOSE: (4), (8), (14), (32), (35), (37), (45) are
% 177.30/27.80 | | | | | | | | inconsistent by sub-proof #192.
% 177.30/27.80 | | | | | | | |
% 177.30/27.80 | | | | | | | End of split
% 177.30/27.80 | | | | | | |
% 177.30/27.80 | | | | | | End of split
% 177.30/27.80 | | | | | |
% 177.30/27.80 | | | | | Case 2:
% 177.30/27.80 | | | | | |
% 177.30/27.80 | | | | | | (46) all_63_8 = e0
% 177.30/27.80 | | | | | |
% 177.30/27.80 | | | | | | COMBINE_EQS: (13), (46) imply:
% 177.30/27.80 | | | | | | (47) all_61_2 = e0
% 177.30/27.80 | | | | | |
% 177.30/27.80 | | | | | | REDUCE: (1), (47) imply:
% 177.30/27.80 | | | | | | (48) $false
% 177.30/27.80 | | | | | |
% 177.30/27.80 | | | | | | CLOSE: (48) is inconsistent.
% 177.30/27.80 | | | | | |
% 177.30/27.80 | | | | | End of split
% 177.30/27.80 | | | | |
% 177.30/27.80 | | | | End of split
% 177.30/27.80 | | | |
% 177.30/27.80 | | | End of split
% 177.30/27.80 | | |
% 177.30/27.80 | | End of split
% 177.30/27.80 | |
% 177.30/27.80 | End of split
% 177.30/27.80 |
% 177.30/27.80 End of proof
% 177.30/27.80
% 177.30/27.80 Sub-proof #192 shows that the following formulas are inconsistent:
% 177.30/27.80 ----------------------------------------------------------------
% 177.30/27.80 (1) ~ (all_61_1 = all_61_3)
% 177.30/27.80 (2) ~ (all_61_3 = e1)
% 177.30/27.80 (3) all_63_4 = all_61_1
% 177.30/27.80 (4) all_63_4 = e1 | all_63_4 = e0
% 177.30/27.80 (5) ~ (all_61_1 = e1)
% 177.30/27.80 (6) all_63_12 = e1 | all_63_12 = e0
% 177.30/27.80 (7) all_63_12 = all_61_3
% 177.30/27.80
% 177.30/27.80 Begin of proof
% 177.30/27.80 |
% 177.30/27.80 | BETA: splitting (4) gives:
% 177.30/27.80 |
% 177.30/27.80 | Case 1:
% 177.30/27.80 | |
% 177.30/27.80 | | (8) all_63_4 = e1
% 177.30/27.80 | |
% 177.30/27.80 | | COMBINE_EQS: (3), (8) imply:
% 177.30/27.80 | | (9) all_61_1 = e1
% 177.30/27.80 | |
% 177.30/27.80 | | REDUCE: (5), (9) imply:
% 177.30/27.80 | | (10) $false
% 177.30/27.80 | |
% 177.30/27.80 | | CLOSE: (10) is inconsistent.
% 177.30/27.80 | |
% 177.30/27.80 | Case 2:
% 177.30/27.80 | |
% 177.30/27.80 | | (11) all_63_4 = e0
% 177.30/27.80 | |
% 177.30/27.80 | | COMBINE_EQS: (3), (11) imply:
% 177.30/27.80 | | (12) all_61_1 = e0
% 177.30/27.80 | |
% 177.30/27.80 | | REDUCE: (1), (12) imply:
% 177.30/27.80 | | (13) ~ (all_61_3 = e0)
% 177.30/27.80 | |
% 177.30/27.80 | | SIMP: (13) implies:
% 177.30/27.80 | | (14) ~ (all_61_3 = e0)
% 177.30/27.80 | |
% 177.30/27.80 | | REF_CLOSE: (2), (6), (7), (14) are inconsistent by sub-proof #420.
% 177.30/27.80 | |
% 177.30/27.80 | End of split
% 177.30/27.80 |
% 177.30/27.80 End of proof
% 177.30/27.80
% 177.30/27.80 Sub-proof #193 shows that the following formulas are inconsistent:
% 177.30/27.80 ----------------------------------------------------------------
% 177.30/27.80 (1) op(e3, all_52_0) = unit
% 177.30/27.80 (2) all_58_0 = all_52_0
% 177.30/27.80 (3) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 177.30/27.80 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 177.30/27.80 (4) op(e3, e1) = all_61_8
% 177.30/27.80 (5) op(e1, e3) = all_61_2
% 177.30/27.80 (6) op(unit, e3) = e3
% 177.30/27.80 (7) all_58_2 = all_52_2
% 177.30/27.80 (8) op(all_61_2, e3) = all_61_2
% 177.30/27.80 (9) ~ (all_61_8 = e3)
% 177.30/27.80 (10) op(e1, all_52_2) = unit
% 177.30/27.80 (11) all_58_0 = e1
% 177.30/27.80 (12) op(all_61_8, e3) = all_65_8
% 177.30/27.80 (13) all_58_2 = e3
% 177.30/27.80
% 177.30/27.80 Begin of proof
% 177.30/27.80 |
% 177.30/27.80 | COMBINE_EQS: (2), (11) imply:
% 177.30/27.80 | (14) all_52_0 = e1
% 177.30/27.80 |
% 177.30/27.80 | SIMP: (14) implies:
% 177.30/27.80 | (15) all_52_0 = e1
% 177.30/27.80 |
% 177.30/27.80 | COMBINE_EQS: (7), (13) imply:
% 177.30/27.80 | (16) all_52_2 = e3
% 177.30/27.80 |
% 177.30/27.80 | SIMP: (16) implies:
% 177.30/27.80 | (17) all_52_2 = e3
% 177.30/27.80 |
% 177.30/27.80 | REF_CLOSE: (1), (3), (4), (5), (6), (8), (9), (10), (12), (15), (17) are
% 177.30/27.80 | inconsistent by sub-proof #505.
% 177.30/27.80 |
% 177.30/27.80 End of proof
% 177.30/27.80
% 177.30/27.80 Sub-proof #194 shows that the following formulas are inconsistent:
% 177.30/27.80 ----------------------------------------------------------------
% 177.30/27.80 (1) all_56_2 = e3 | all_56_2 = e2 | all_56_2 = e1 | all_56_2 = e0
% 177.30/27.80 (2) all_56_2 = all_52_2
% 177.30/27.81 (3) op(e1, e1) = e0
% 177.30/27.81 (4) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 177.30/27.81 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 177.30/27.81 (5) ~ (all_52_2 = e0)
% 177.30/27.81 (6) ~ (all_52_2 = e3)
% 177.30/27.81 (7) ~ (all_52_2 = e2)
% 177.30/27.81 (8) op(e0, e0) = e1
% 177.30/27.81 (9) op(e1, all_52_2) = unit
% 177.30/27.81 (10) op(e0, unit) = e0
% 177.30/27.81
% 177.30/27.81 Begin of proof
% 177.30/27.81 |
% 177.30/27.81 | BETA: splitting (1) gives:
% 177.30/27.81 |
% 177.30/27.81 | Case 1:
% 177.30/27.81 | |
% 177.30/27.81 | | (11) all_56_2 = e3
% 177.30/27.81 | |
% 177.30/27.81 | | REF_CLOSE: (2), (6), (11) are inconsistent by sub-proof #482.
% 177.30/27.81 | |
% 177.30/27.81 | Case 2:
% 177.30/27.81 | |
% 177.30/27.81 | | (12) all_56_2 = e2 | all_56_2 = e1 | all_56_2 = e0
% 177.30/27.81 | |
% 177.30/27.81 | | BETA: splitting (12) gives:
% 177.30/27.81 | |
% 177.30/27.81 | | Case 1:
% 177.30/27.81 | | |
% 177.30/27.81 | | | (13) all_56_2 = e2
% 177.30/27.81 | | |
% 177.30/27.81 | | | REF_CLOSE: (2), (7), (13) are inconsistent by sub-proof #481.
% 177.30/27.81 | | |
% 177.30/27.81 | | Case 2:
% 177.30/27.81 | | |
% 177.30/27.81 | | | (14) all_56_2 = e1 | all_56_2 = e0
% 177.30/27.81 | | |
% 177.30/27.81 | | | BETA: splitting (14) gives:
% 177.30/27.81 | | |
% 177.30/27.81 | | | Case 1:
% 177.30/27.81 | | | |
% 177.30/27.81 | | | | (15) all_56_2 = e1
% 177.30/27.81 | | | |
% 177.30/27.81 | | | | COMBINE_EQS: (2), (15) imply:
% 177.30/27.81 | | | | (16) all_52_2 = e1
% 177.30/27.81 | | | |
% 177.30/27.81 | | | | SIMP: (16) implies:
% 177.30/27.81 | | | | (17) all_52_2 = e1
% 177.30/27.81 | | | |
% 177.30/27.81 | | | | REDUCE: (5), (17) imply:
% 177.30/27.81 | | | | (18) ~ (e1 = e0)
% 177.30/27.81 | | | |
% 177.30/27.81 | | | | REDUCE: (9), (17) imply:
% 177.30/27.81 | | | | (19) op(e1, e1) = unit
% 177.30/27.81 | | | |
% 177.30/27.81 | | | | GROUND_INST: instantiating (4) with e0, unit, e1, e1, simplifying with
% 177.30/27.81 | | | | (3), (19) gives:
% 177.30/27.81 | | | | (20) unit = e0
% 177.30/27.81 | | | |
% 177.30/27.81 | | | | REF_CLOSE: (4), (8), (10), (18), (20) are inconsistent by sub-proof
% 177.30/27.81 | | | | #265.
% 177.30/27.81 | | | |
% 177.30/27.81 | | | Case 2:
% 177.30/27.81 | | | |
% 177.30/27.81 | | | | (21) all_56_2 = e0
% 177.30/27.81 | | | |
% 177.30/27.81 | | | | REF_CLOSE: (2), (5), (21) are inconsistent by sub-proof #480.
% 177.30/27.81 | | | |
% 177.30/27.81 | | | End of split
% 177.30/27.81 | | |
% 177.30/27.81 | | End of split
% 177.30/27.81 | |
% 177.30/27.81 | End of split
% 177.30/27.81 |
% 177.30/27.81 End of proof
% 177.30/27.81
% 177.30/27.81 Sub-proof #195 shows that the following formulas are inconsistent:
% 177.30/27.81 ----------------------------------------------------------------
% 177.30/27.81 (1) ~ (all_61_8 = all_61_9)
% 177.30/27.81 (2) all_56_0 = e3 | all_56_0 = e2 | all_56_0 = e1 | all_56_0 = e0
% 177.30/27.81 (3) ~ (all_61_1 = all_61_9)
% 177.30/27.81 (4) ~ (all_52_0 = all_52_1)
% 177.30/27.81 (5) ~ (all_58_2 = e0) | all_58_3 = e1
% 177.30/27.81 (6) all_56_2 = e3 | all_56_2 = e2 | all_56_2 = e1 | all_56_2 = e0
% 177.30/27.81 (7) all_56_2 = all_52_2
% 177.30/27.81 (8) op(e1, e1) = e0
% 177.30/27.81 (9) ~ (all_58_1 = e3) | all_58_0 = e2
% 177.30/27.81 (10) ~ (all_61_9 = e2)
% 177.30/27.81 (11) op(e3, all_52_0) = unit
% 177.30/27.81 (12) all_63_7 = all_61_13
% 177.30/27.81 (13) ~ (all_52_1 = all_52_3)
% 177.30/27.81 (14) ~ (all_52_0 = all_52_3)
% 177.30/27.81 (15) all_58_0 = all_52_0
% 177.30/27.81 (16) all_63_11 = all_8_1
% 177.30/27.81 (17) ~ (all_61_1 = e2)
% 177.30/27.81 (18) all_56_1 = e3 | all_56_1 = e2 | all_56_1 = e1 | all_56_1 = e0
% 177.30/27.81 (19) ~ (all_61_8 = e0)
% 177.30/27.81 (20) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 177.30/27.81 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 177.30/27.81 (21) all_63_7 = e3 | all_63_7 = e2 | all_63_7 = e1 | all_63_7 = e0
% 177.30/27.81 (22) op(e2, unit) = e2
% 177.30/27.81 (23) ~ (all_61_13 = e2)
% 177.30/27.81 (24) op(all_61_4, e3) = all_65_4
% 177.30/27.81 (25) all_63_4 = e3 | all_63_4 = e2 | all_63_4 = e1 | all_63_4 = e0
% 177.30/27.81 (26) ~ (all_58_0 = e2) | all_58_1 = e3
% 177.30/27.81 (27) ~ (all_61_9 = all_8_1)
% 177.30/27.81 (28) op(e1, e2) = all_61_6
% 177.30/27.81 (29) ~ (all_58_3 = e1) | all_58_2 = e0
% 177.30/27.81 (30) all_63_11 = e3 | all_63_11 = e2 | all_63_11 = e1 | all_63_11 = e0
% 177.30/27.81 (31) ~ (all_52_1 = all_52_2)
% 177.30/27.81 (32) all_63_4 = all_61_1
% 177.30/27.81 (33) ~ (all_58_2 = e2) | all_58_1 = e1
% 177.30/27.81 (34) all_63_2 = e3 | all_63_2 = e2 | all_63_2 = e1 | all_63_2 = e0
% 177.30/27.81 (35) op(unit, e3) = e3
% 177.30/27.81 (36) all_56_1 = all_52_1
% 177.30/27.81 (37) all_58_3 = all_52_3
% 177.30/27.81 (38) ~ (all_61_8 = all_8_1)
% 177.30/27.81 (39) op(e2, all_52_1) = unit
% 177.30/27.81 (40) all_63_9 = all_61_6
% 177.30/27.81 (41) all_58_2 = all_52_2
% 177.30/27.81 (42) ~ (all_61_1 = e3)
% 177.30/27.81 (43) ~ (all_61_9 = all_61_13)
% 177.30/27.81 (44) all_63_9 = e3 | all_63_9 = e2 | all_63_9 = e1 | all_63_9 = e0
% 177.30/27.81 (45) op(e3, e3) = e3
% 177.30/27.81 (46) op(e2, e0) = all_61_13
% 177.30/27.81 (47) ~ (all_61_9 = e0)
% 177.30/27.81 (48) ~ (all_61_13 = all_8_1)
% 177.30/27.81 (49) all_58_1 = all_52_1
% 177.30/27.81 (50) op(all_61_1, e2) = all_65_17
% 177.30/27.81 (51) ~ (all_61_8 = e3)
% 177.30/27.81 (52) ~ (all_61_1 = all_61_13)
% 177.30/27.81 (53) ~ (all_52_0 = all_52_2)
% 177.30/27.81 (54) op(e2, e3) = all_61_1
% 177.30/27.81 (55) op(e1, all_52_2) = unit
% 177.30/27.81 (56) op(all_61_1, e3) = all_61_1
% 177.30/27.81 (57) op(e2, e1) = all_61_9
% 177.30/27.81 (58) ~ (unit = e3)
% 177.30/27.81 (59) all_56_0 = all_52_0
% 177.30/27.81 (60) op(e3, e2) = all_61_4
% 177.30/27.81 (61) ~ (all_58_2 = e3)
% 177.30/27.81 (62) ~ (all_8_1 = e0)
% 177.30/27.81 (63) op(all_61_4, e2) = all_61_4
% 177.30/27.81 (64) op(e2, e2) = e2
% 177.30/27.81 (65) all_63_2 = all_61_8
% 177.30/27.81 (66) op(unit, e2) = e2
% 177.30/27.81
% 177.30/27.81 Begin of proof
% 177.30/27.81 |
% 177.30/27.81 | REDUCE: (41), (61) imply:
% 177.30/27.81 | (67) ~ (all_52_2 = e3)
% 177.30/27.81 |
% 177.30/27.81 | BETA: splitting (26) gives:
% 177.30/27.81 |
% 177.30/27.81 | Case 1:
% 177.30/27.81 | |
% 177.30/27.81 | | (68) ~ (all_58_0 = e2)
% 177.30/27.81 | |
% 177.30/27.81 | | REDUCE: (15), (68) imply:
% 177.30/27.81 | | (69) ~ (all_52_0 = e2)
% 177.30/27.81 | |
% 177.30/27.81 | | BETA: splitting (9) gives:
% 177.30/27.81 | |
% 177.30/27.81 | | Case 1:
% 177.30/27.81 | | |
% 177.30/27.81 | | | (70) ~ (all_58_1 = e3)
% 177.30/27.81 | | |
% 177.30/27.81 | | | REDUCE: (49), (70) imply:
% 177.30/27.81 | | | (71) ~ (all_52_1 = e3)
% 177.30/27.81 | | |
% 177.30/27.81 | | | BETA: splitting (29) gives:
% 177.30/27.81 | | |
% 177.30/27.81 | | | Case 1:
% 177.30/27.81 | | | |
% 177.30/27.81 | | | | (72) ~ (all_58_3 = e1)
% 177.30/27.81 | | | |
% 177.30/27.81 | | | | REDUCE: (37), (72) imply:
% 177.30/27.81 | | | | (73) ~ (all_52_3 = e1)
% 177.30/27.81 | | | |
% 177.30/27.81 | | | | BETA: splitting (5) gives:
% 177.30/27.81 | | | |
% 177.30/27.81 | | | | Case 1:
% 177.30/27.81 | | | | |
% 177.30/27.81 | | | | | (74) ~ (all_58_2 = e0)
% 177.30/27.81 | | | | |
% 177.30/27.81 | | | | | REDUCE: (41), (74) imply:
% 177.30/27.81 | | | | | (75) ~ (all_52_2 = e0)
% 177.30/27.81 | | | | |
% 177.30/27.81 | | | | | BETA: splitting (33) gives:
% 177.30/27.81 | | | | |
% 177.30/27.81 | | | | | Case 1:
% 177.30/27.81 | | | | | |
% 177.30/27.81 | | | | | | (76) ~ (all_58_2 = e2)
% 177.30/27.81 | | | | | |
% 177.30/27.81 | | | | | | REDUCE: (41), (76) imply:
% 177.30/27.81 | | | | | | (77) ~ (all_52_2 = e2)
% 177.30/27.81 | | | | | |
% 177.30/27.81 | | | | | | REF_CLOSE: (6), (7), (8), (20), (22), (23), (46), (55), (67), (75),
% 177.30/27.81 | | | | | | (77) are inconsistent by sub-proof #203.
% 177.30/27.81 | | | | | |
% 177.30/27.81 | | | | | Case 2:
% 177.30/27.81 | | | | | |
% 177.30/27.81 | | | | | | (78) all_58_2 = e2
% 177.30/27.81 | | | | | | (79) all_58_1 = e1
% 177.30/27.81 | | | | | |
% 177.30/27.81 | | | | | | COMBINE_EQS: (49), (79) imply:
% 177.30/27.81 | | | | | | (80) all_52_1 = e1
% 177.30/27.81 | | | | | |
% 177.30/27.81 | | | | | | SIMP: (80) implies:
% 177.30/27.81 | | | | | | (81) all_52_1 = e1
% 177.30/27.81 | | | | | |
% 177.30/27.81 | | | | | | COMBINE_EQS: (41), (78) imply:
% 177.30/27.81 | | | | | | (82) all_52_2 = e2
% 177.30/27.81 | | | | | |
% 177.30/27.81 | | | | | | REF_CLOSE: (1), (3), (10), (12), (16), (17), (19), (20), (21), (23),
% 177.30/27.81 | | | | | | (25), (27), (28), (30), (32), (34), (38), (39), (40),
% 177.30/27.81 | | | | | | (42), (43), (44), (47), (48), (51), (52), (55), (57),
% 177.30/27.81 | | | | | | (58), (62), (65), (81), (82) are inconsistent by
% 177.30/27.81 | | | | | | sub-proof #199.
% 177.30/27.81 | | | | | |
% 177.30/27.81 | | | | | End of split
% 177.30/27.81 | | | | |
% 177.30/27.81 | | | | Case 2:
% 177.30/27.81 | | | | |
% 177.30/27.81 | | | | | (83) all_58_3 = e1
% 177.30/27.81 | | | | |
% 177.30/27.81 | | | | | REF_CLOSE: (37), (73), (83) are inconsistent by sub-proof #460.
% 177.30/27.81 | | | | |
% 177.30/27.81 | | | | End of split
% 177.30/27.81 | | | |
% 177.30/27.81 | | | Case 2:
% 177.30/27.81 | | | |
% 177.30/27.81 | | | | (84) all_58_3 = e1
% 177.30/27.81 | | | | (85) all_58_2 = e0
% 177.30/27.81 | | | |
% 177.30/27.81 | | | | COMBINE_EQS: (41), (85) imply:
% 177.30/27.81 | | | | (86) all_52_2 = e0
% 177.30/27.81 | | | |
% 177.30/27.81 | | | | SIMP: (86) implies:
% 177.30/27.81 | | | | (87) all_52_2 = e0
% 177.30/27.81 | | | |
% 177.30/27.81 | | | | COMBINE_EQS: (37), (84) imply:
% 177.30/27.81 | | | | (88) all_52_3 = e1
% 177.30/27.81 | | | |
% 177.30/27.81 | | | | REDUCE: (53), (87) imply:
% 177.30/27.81 | | | | (89) ~ (all_52_0 = e0)
% 177.30/27.81 | | | |
% 177.30/27.81 | | | | REDUCE: (14), (88) imply:
% 177.30/27.81 | | | | (90) ~ (all_52_0 = e1)
% 177.30/27.81 | | | |
% 177.30/27.81 | | | | REDUCE: (31), (87) imply:
% 177.30/27.81 | | | | (91) ~ (all_52_1 = e0)
% 177.30/27.81 | | | |
% 177.30/27.81 | | | | REDUCE: (13), (88) imply:
% 177.30/27.81 | | | | (92) ~ (all_52_1 = e1)
% 177.30/27.81 | | | |
% 177.30/27.81 | | | | REF_CLOSE: (2), (4), (11), (18), (20), (36), (39), (45), (59), (64),
% 177.30/27.81 | | | | (69), (71), (89), (90), (91), (92) are inconsistent by
% 177.30/27.81 | | | | sub-proof #197.
% 177.30/27.81 | | | |
% 177.30/27.81 | | | End of split
% 177.30/27.81 | | |
% 177.30/27.81 | | Case 2:
% 177.30/27.81 | | |
% 177.30/27.81 | | | (93) all_58_0 = e2
% 177.30/27.81 | | |
% 177.30/27.81 | | | REF_CLOSE: (15), (69), (93) are inconsistent by sub-proof #356.
% 177.30/27.81 | | |
% 177.30/27.81 | | End of split
% 177.30/27.81 | |
% 177.30/27.81 | Case 2:
% 177.30/27.81 | |
% 177.30/27.81 | | (94) all_58_1 = e3
% 177.30/27.81 | | (95) all_58_0 = e2
% 177.30/27.81 | |
% 177.30/27.81 | | COMBINE_EQS: (15), (95) imply:
% 177.30/27.81 | | (96) all_52_0 = e2
% 177.30/27.81 | |
% 177.30/27.81 | | COMBINE_EQS: (49), (94) imply:
% 177.30/27.81 | | (97) all_52_1 = e3
% 177.30/27.81 | |
% 177.30/27.81 | | SIMP: (97) implies:
% 177.30/27.81 | | (98) all_52_1 = e3
% 177.30/27.81 | |
% 177.30/27.81 | | REDUCE: (4), (96), (98) imply:
% 177.30/27.81 | | (99) ~ (e3 = e2)
% 177.30/27.81 | |
% 177.30/27.81 | | SIMP: (99) implies:
% 177.30/27.81 | | (100) ~ (e3 = e2)
% 177.30/27.81 | |
% 177.30/27.81 | | REDUCE: (11), (96) imply:
% 177.30/27.81 | | (101) op(e3, e2) = unit
% 177.30/27.81 | |
% 177.30/27.81 | | REDUCE: (39), (98) imply:
% 177.30/27.81 | | (102) op(e2, e3) = unit
% 177.30/27.81 | |
% 177.30/27.81 | | REF_CLOSE: (20), (24), (35), (50), (54), (56), (60), (63), (66), (100),
% 177.30/27.81 | | (101), (102) are inconsistent by sub-proof #196.
% 177.30/27.81 | |
% 177.30/27.81 | End of split
% 177.30/27.81 |
% 177.30/27.81 End of proof
% 177.30/27.81
% 177.30/27.81 Sub-proof #196 shows that the following formulas are inconsistent:
% 177.30/27.81 ----------------------------------------------------------------
% 177.30/27.81 (1) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 177.30/27.81 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 177.30/27.81 (2) op(e2, e3) = unit
% 177.30/27.81 (3) op(all_61_4, e3) = all_65_4
% 177.30/27.81 (4) op(unit, e3) = e3
% 177.30/27.81 (5) ~ (e3 = e2)
% 177.30/27.81 (6) op(e3, e2) = unit
% 177.30/27.81 (7) op(all_61_1, e2) = all_65_17
% 177.30/27.81 (8) op(e2, e3) = all_61_1
% 177.30/27.81 (9) op(all_61_1, e3) = all_61_1
% 177.30/27.81 (10) op(e3, e2) = all_61_4
% 177.30/27.81 (11) op(all_61_4, e2) = all_61_4
% 177.30/27.81 (12) op(unit, e2) = e2
% 177.30/27.81
% 177.30/27.81 Begin of proof
% 177.30/27.81 |
% 177.30/27.81 | GROUND_INST: instantiating (1) with all_61_1, unit, e3, e2, simplifying with
% 177.30/27.81 | (2), (8) gives:
% 177.30/27.81 | (13) all_61_1 = unit
% 177.30/27.81 |
% 177.30/27.81 | GROUND_INST: instantiating (1) with all_61_4, unit, e2, e3, simplifying with
% 177.30/27.81 | (6), (10) gives:
% 177.30/27.81 | (14) all_61_4 = unit
% 177.30/27.81 |
% 177.30/27.81 | REDUCE: (9), (13) imply:
% 177.30/27.81 | (15) op(unit, e3) = unit
% 177.30/27.81 |
% 177.30/27.81 | REDUCE: (7), (13) imply:
% 177.30/27.81 | (16) op(unit, e2) = all_65_17
% 177.30/27.81 |
% 177.30/27.81 | REDUCE: (3), (14) imply:
% 177.30/27.81 | (17) op(unit, e3) = all_65_4
% 177.30/27.81 |
% 177.30/27.81 | REDUCE: (11), (14) imply:
% 177.30/27.81 | (18) op(unit, e2) = unit
% 177.30/27.81 |
% 177.30/27.81 | GROUND_INST: instantiating (1) with e2, all_65_17, e2, unit, simplifying with
% 177.30/27.81 | (12), (16) gives:
% 177.30/27.81 | (19) all_65_17 = e2
% 177.30/27.81 |
% 177.30/27.81 | GROUND_INST: instantiating (1) with unit, all_65_17, e2, unit, simplifying
% 177.30/27.81 | with (16), (18) gives:
% 177.30/27.81 | (20) all_65_17 = unit
% 177.30/27.81 |
% 177.30/27.81 | GROUND_INST: instantiating (1) with e3, all_65_4, e3, unit, simplifying with
% 177.30/27.81 | (4), (17) gives:
% 177.30/27.81 | (21) all_65_4 = e3
% 177.30/27.81 |
% 177.30/27.81 | GROUND_INST: instantiating (1) with unit, all_65_4, e3, unit, simplifying with
% 177.30/27.81 | (15), (17) gives:
% 177.30/27.81 | (22) all_65_4 = unit
% 177.30/27.81 |
% 177.30/27.81 | COMBINE_EQS: (21), (22) imply:
% 177.30/27.81 | (23) unit = e3
% 177.30/27.81 |
% 177.30/27.81 | COMBINE_EQS: (19), (20) imply:
% 177.30/27.81 | (24) unit = e2
% 177.30/27.81 |
% 177.30/27.81 | SIMP: (24) implies:
% 177.30/27.81 | (25) unit = e2
% 177.30/27.81 |
% 177.30/27.81 | REF_CLOSE: (5), (23), (25) are inconsistent by sub-proof #198.
% 177.30/27.81 |
% 177.30/27.81 End of proof
% 177.30/27.81
% 177.30/27.81 Sub-proof #197 shows that the following formulas are inconsistent:
% 177.30/27.81 ----------------------------------------------------------------
% 177.30/27.81 (1) all_56_0 = e3 | all_56_0 = e2 | all_56_0 = e1 | all_56_0 = e0
% 177.30/27.81 (2) ~ (all_52_0 = all_52_1)
% 177.30/27.81 (3) op(e3, all_52_0) = unit
% 177.30/27.81 (4) all_56_1 = e3 | all_56_1 = e2 | all_56_1 = e1 | all_56_1 = e0
% 177.30/27.81 (5) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 177.30/27.81 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 177.30/27.81 (6) ~ (all_52_1 = e3)
% 177.30/27.81 (7) ~ (all_52_0 = e1)
% 177.30/27.81 (8) ~ (all_52_0 = e0)
% 177.30/27.81 (9) ~ (all_52_0 = e2)
% 177.30/27.81 (10) all_56_1 = all_52_1
% 177.30/27.81 (11) op(e2, all_52_1) = unit
% 177.30/27.81 (12) op(e3, e3) = e3
% 177.30/27.81 (13) ~ (all_52_1 = e1)
% 177.30/27.81 (14) all_56_0 = all_52_0
% 177.30/27.81 (15) ~ (all_52_1 = e0)
% 177.30/27.81 (16) op(e2, e2) = e2
% 177.30/27.81
% 177.30/27.81 Begin of proof
% 177.30/27.81 |
% 177.30/27.81 | BETA: splitting (4) gives:
% 177.30/27.81 |
% 177.30/27.81 | Case 1:
% 177.30/27.81 | |
% 177.30/27.81 | | (17) all_56_1 = e3
% 177.30/27.81 | |
% 177.30/27.81 | | COMBINE_EQS: (10), (17) imply:
% 177.30/27.81 | | (18) all_52_1 = e3
% 177.30/27.81 | |
% 177.30/27.81 | | REDUCE: (6), (18) imply:
% 177.30/27.81 | | (19) $false
% 177.30/27.81 | |
% 177.30/27.81 | | CLOSE: (19) is inconsistent.
% 177.30/27.81 | |
% 177.30/27.81 | Case 2:
% 177.30/27.81 | |
% 177.30/27.81 | | (20) all_56_1 = e2 | all_56_1 = e1 | all_56_1 = e0
% 177.30/27.81 | |
% 177.30/27.81 | | BETA: splitting (1) gives:
% 177.30/27.81 | |
% 177.30/27.81 | | Case 1:
% 177.30/27.81 | | |
% 177.30/27.81 | | | (21) all_56_0 = e3
% 177.30/27.81 | | |
% 177.30/27.81 | | | COMBINE_EQS: (14), (21) imply:
% 177.30/27.81 | | | (22) all_52_0 = e3
% 177.30/27.81 | | |
% 177.30/27.81 | | | SIMP: (22) implies:
% 177.30/27.81 | | | (23) all_52_0 = e3
% 177.30/27.81 | | |
% 177.30/27.81 | | | REDUCE: (2), (23) imply:
% 177.30/27.81 | | | (24) ~ (all_52_1 = e3)
% 177.30/27.81 | | |
% 177.30/27.81 | | | REDUCE: (3), (23) imply:
% 177.30/27.81 | | | (25) op(e3, e3) = unit
% 177.30/27.81 | | |
% 177.30/27.81 | | | BETA: splitting (20) gives:
% 177.30/27.81 | | |
% 177.30/27.81 | | | Case 1:
% 177.30/27.81 | | | |
% 177.30/27.81 | | | | (26) all_56_1 = e2
% 177.30/27.81 | | | |
% 177.30/27.81 | | | | COMBINE_EQS: (10), (26) imply:
% 177.30/27.81 | | | | (27) all_52_1 = e2
% 177.30/27.81 | | | |
% 177.30/27.81 | | | | SIMP: (27) implies:
% 177.30/27.81 | | | | (28) all_52_1 = e2
% 177.30/27.81 | | | |
% 177.30/27.81 | | | | REDUCE: (6), (28) imply:
% 177.30/27.81 | | | | (29) ~ (e3 = e2)
% 177.30/27.81 | | | |
% 177.30/27.81 | | | | SIMP: (29) implies:
% 177.30/27.81 | | | | (30) ~ (e3 = e2)
% 177.30/27.81 | | | |
% 177.30/27.81 | | | | REDUCE: (11), (28) imply:
% 177.30/27.81 | | | | (31) op(e2, e2) = unit
% 177.30/27.81 | | | |
% 177.30/27.81 | | | | GROUND_INST: instantiating (5) with e2, unit, e2, e2, simplifying with
% 177.30/27.81 | | | | (16), (31) gives:
% 177.30/27.81 | | | | (32) unit = e2
% 177.30/27.81 | | | |
% 177.30/27.81 | | | | GROUND_INST: instantiating (5) with e3, unit, e3, e3, simplifying with
% 177.30/27.81 | | | | (12), (25) gives:
% 177.30/27.81 | | | | (33) unit = e3
% 177.30/27.81 | | | |
% 177.30/27.81 | | | | REF_CLOSE: (30), (32), (33) are inconsistent by sub-proof #198.
% 177.30/27.81 | | | |
% 177.30/27.81 | | | Case 2:
% 177.30/27.81 | | | |
% 177.30/27.81 | | | | (34) all_56_1 = e1 | all_56_1 = e0
% 177.30/27.81 | | | |
% 177.30/27.81 | | | | REF_CLOSE: (10), (13), (15), (34) are inconsistent by sub-proof #454.
% 177.30/27.81 | | | |
% 177.30/27.81 | | | End of split
% 177.30/27.81 | | |
% 177.30/27.81 | | Case 2:
% 177.30/27.81 | | |
% 177.30/27.81 | | | (35) all_56_0 = e2 | all_56_0 = e1 | all_56_0 = e0
% 177.30/27.81 | | |
% 177.30/27.81 | | | REF_CLOSE: (7), (8), (9), (14), (35) are inconsistent by sub-proof #512.
% 177.30/27.81 | | |
% 177.30/27.81 | | End of split
% 177.30/27.81 | |
% 177.30/27.81 | End of split
% 177.30/27.81 |
% 177.30/27.81 End of proof
% 177.30/27.81
% 177.30/27.81 Sub-proof #198 shows that the following formulas are inconsistent:
% 177.30/27.81 ----------------------------------------------------------------
% 177.30/27.81 (1) unit = e3
% 177.30/27.81 (2) unit = e2
% 177.30/27.81 (3) ~ (e3 = e2)
% 177.30/27.81
% 177.30/27.81 Begin of proof
% 177.30/27.81 |
% 177.30/27.81 | COMBINE_EQS: (1), (2) imply:
% 177.30/27.81 | (4) e3 = e2
% 177.30/27.81 |
% 177.30/27.81 | SIMP: (4) implies:
% 177.30/27.81 | (5) e3 = e2
% 177.30/27.81 |
% 177.30/27.81 | REDUCE: (3), (5) imply:
% 177.30/27.81 | (6) $false
% 177.30/27.81 |
% 177.30/27.81 | CLOSE: (6) is inconsistent.
% 177.30/27.81 |
% 177.30/27.81 End of proof
% 177.30/27.81
% 177.30/27.81 Sub-proof #199 shows that the following formulas are inconsistent:
% 177.30/27.81 ----------------------------------------------------------------
% 177.30/27.81 (1) ~ (all_61_8 = all_61_9)
% 177.30/27.81 (2) ~ (all_61_1 = all_61_9)
% 177.30/27.81 (3) ~ (all_61_9 = e2)
% 177.30/27.81 (4) all_63_7 = all_61_13
% 177.30/27.81 (5) all_63_11 = all_8_1
% 177.30/27.81 (6) ~ (all_61_1 = e2)
% 177.30/27.81 (7) ~ (all_61_8 = e0)
% 177.30/27.81 (8) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 177.30/27.81 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 177.30/27.81 (9) all_63_7 = e3 | all_63_7 = e2 | all_63_7 = e1 | all_63_7 = e0
% 177.30/27.81 (10) ~ (all_61_13 = e2)
% 177.30/27.81 (11) all_63_4 = e3 | all_63_4 = e2 | all_63_4 = e1 | all_63_4 = e0
% 177.30/27.81 (12) ~ (all_61_9 = all_8_1)
% 177.30/27.81 (13) op(e1, e2) = all_61_6
% 177.30/27.81 (14) all_63_11 = e3 | all_63_11 = e2 | all_63_11 = e1 | all_63_11 = e0
% 177.30/27.81 (15) all_63_4 = all_61_1
% 177.30/27.81 (16) all_63_2 = e3 | all_63_2 = e2 | all_63_2 = e1 | all_63_2 = e0
% 177.30/27.81 (17) ~ (all_61_8 = all_8_1)
% 177.30/27.81 (18) all_52_2 = e2
% 177.30/27.81 (19) op(e2, all_52_1) = unit
% 177.30/27.81 (20) all_63_9 = all_61_6
% 177.30/27.81 (21) ~ (all_61_1 = e3)
% 177.30/27.81 (22) ~ (all_61_9 = all_61_13)
% 177.30/27.81 (23) all_63_9 = e3 | all_63_9 = e2 | all_63_9 = e1 | all_63_9 = e0
% 177.30/27.81 (24) ~ (all_61_9 = e0)
% 177.30/27.81 (25) ~ (all_61_13 = all_8_1)
% 177.30/27.81 (26) ~ (all_61_8 = e3)
% 177.30/27.81 (27) ~ (all_61_1 = all_61_13)
% 177.30/27.81 (28) all_52_1 = e1
% 177.30/27.81 (29) op(e1, all_52_2) = unit
% 177.30/27.81 (30) op(e2, e1) = all_61_9
% 177.30/27.81 (31) ~ (unit = e3)
% 177.30/27.81 (32) ~ (all_8_1 = e0)
% 177.30/27.81 (33) all_63_2 = all_61_8
% 177.30/27.81
% 177.30/27.81 Begin of proof
% 177.30/27.81 |
% 177.30/27.81 | REDUCE: (19), (28) imply:
% 177.30/27.81 | (34) op(e2, e1) = unit
% 177.30/27.81 |
% 177.30/27.81 | REDUCE: (18), (29) imply:
% 177.30/27.81 | (35) op(e1, e2) = unit
% 177.30/27.81 |
% 177.30/27.81 | GROUND_INST: instantiating (8) with all_61_6, unit, e2, e1, simplifying with
% 177.30/27.81 | (13), (35) gives:
% 177.30/27.81 | (36) all_61_6 = unit
% 177.30/27.81 |
% 177.30/27.81 | GROUND_INST: instantiating (8) with all_61_9, unit, e1, e2, simplifying with
% 177.30/27.81 | (30), (34) gives:
% 177.30/27.81 | (37) all_61_9 = unit
% 177.30/27.81 |
% 177.30/27.81 | COMBINE_EQS: (20), (36) imply:
% 177.30/27.81 | (38) all_63_9 = unit
% 177.30/27.81 |
% 177.30/27.81 | REDUCE: (2), (37) imply:
% 177.30/27.81 | (39) ~ (all_61_1 = unit)
% 177.30/27.81 |
% 177.30/27.81 | REDUCE: (1), (37) imply:
% 177.30/27.81 | (40) ~ (all_61_8 = unit)
% 177.30/27.81 |
% 177.30/27.81 | REDUCE: (22), (37) imply:
% 177.30/27.81 | (41) ~ (all_61_13 = unit)
% 177.30/27.81 |
% 177.30/27.81 | SIMP: (41) implies:
% 177.30/27.81 | (42) ~ (all_61_13 = unit)
% 177.30/27.81 |
% 177.30/27.81 | REDUCE: (12), (37) imply:
% 177.30/27.81 | (43) ~ (all_8_1 = unit)
% 177.30/27.81 |
% 177.30/27.81 | SIMP: (43) implies:
% 177.30/27.81 | (44) ~ (all_8_1 = unit)
% 177.30/27.81 |
% 177.30/27.81 | REDUCE: (3), (37) imply:
% 177.30/27.81 | (45) ~ (unit = e2)
% 177.30/27.81 |
% 177.30/27.81 | REDUCE: (24), (37) imply:
% 177.30/27.81 | (46) ~ (unit = e0)
% 177.30/27.81 |
% 177.30/27.81 | BETA: splitting (23) gives:
% 177.30/27.81 |
% 177.30/27.81 | Case 1:
% 177.30/27.81 | |
% 177.30/27.81 | | (47) all_63_9 = e3
% 177.30/27.81 | |
% 177.30/27.81 | | COMBINE_EQS: (38), (47) imply:
% 177.30/27.81 | | (48) unit = e3
% 177.30/27.81 | |
% 177.30/27.81 | | REDUCE: (31), (48) imply:
% 177.30/27.81 | | (49) $false
% 177.30/27.81 | |
% 177.30/27.81 | | CLOSE: (49) is inconsistent.
% 177.30/27.81 | |
% 177.30/27.81 | Case 2:
% 177.30/27.81 | |
% 177.30/27.81 | | (50) all_63_9 = e2 | all_63_9 = e1 | all_63_9 = e0
% 177.30/27.81 | |
% 177.30/27.81 | | BETA: splitting (50) gives:
% 177.30/27.81 | |
% 177.30/27.81 | | Case 1:
% 177.30/27.81 | | |
% 177.30/27.81 | | | (51) all_63_9 = e2
% 177.30/27.81 | | |
% 177.30/27.81 | | | COMBINE_EQS: (38), (51) imply:
% 177.30/27.81 | | | (52) unit = e2
% 177.30/27.81 | | |
% 177.30/27.81 | | | REDUCE: (45), (52) imply:
% 177.30/27.81 | | | (53) $false
% 177.30/27.81 | | |
% 177.30/27.81 | | | CLOSE: (53) is inconsistent.
% 177.30/27.81 | | |
% 177.30/27.81 | | Case 2:
% 177.30/27.81 | | |
% 177.30/27.81 | | | (54) all_63_9 = e1 | all_63_9 = e0
% 177.30/27.81 | | |
% 177.30/27.81 | | | BETA: splitting (54) gives:
% 177.30/27.81 | | |
% 177.30/27.81 | | | Case 1:
% 177.30/27.81 | | | |
% 177.30/27.81 | | | | (55) all_63_9 = e1
% 177.48/27.81 | | | |
% 177.48/27.81 | | | | COMBINE_EQS: (38), (55) imply:
% 177.48/27.81 | | | | (56) unit = e1
% 177.48/27.81 | | | |
% 177.48/27.81 | | | | REDUCE: (39), (56) imply:
% 177.48/27.81 | | | | (57) ~ (all_61_1 = e1)
% 177.48/27.81 | | | |
% 177.48/27.81 | | | | REDUCE: (40), (56) imply:
% 177.48/27.81 | | | | (58) ~ (all_61_8 = e1)
% 177.48/27.81 | | | |
% 177.48/27.81 | | | | REDUCE: (42), (56) imply:
% 177.48/27.81 | | | | (59) ~ (all_61_13 = e1)
% 177.48/27.81 | | | |
% 177.48/27.81 | | | | REDUCE: (44), (56) imply:
% 177.48/27.81 | | | | (60) ~ (all_8_1 = e1)
% 177.48/27.81 | | | |
% 177.48/27.81 | | | | BETA: splitting (11) gives:
% 177.48/27.81 | | | |
% 177.48/27.81 | | | | Case 1:
% 177.48/27.81 | | | | |
% 177.48/27.81 | | | | | (61) all_63_4 = e3
% 177.48/27.81 | | | | |
% 177.48/27.81 | | | | | COMBINE_EQS: (15), (61) imply:
% 177.48/27.81 | | | | | (62) all_61_1 = e3
% 177.48/27.81 | | | | |
% 177.48/27.81 | | | | | REDUCE: (21), (62) imply:
% 177.48/27.81 | | | | | (63) $false
% 177.48/27.81 | | | | |
% 177.48/27.81 | | | | | CLOSE: (63) is inconsistent.
% 177.48/27.81 | | | | |
% 177.48/27.81 | | | | Case 2:
% 177.48/27.81 | | | | |
% 177.48/27.81 | | | | | (64) all_63_4 = e2 | all_63_4 = e1 | all_63_4 = e0
% 177.48/27.81 | | | | |
% 177.48/27.81 | | | | | BETA: splitting (64) gives:
% 177.48/27.81 | | | | |
% 177.48/27.81 | | | | | Case 1:
% 177.48/27.81 | | | | | |
% 177.48/27.81 | | | | | | (65) all_63_4 = e2
% 177.48/27.81 | | | | | |
% 177.48/27.81 | | | | | | COMBINE_EQS: (15), (65) imply:
% 177.48/27.81 | | | | | | (66) all_61_1 = e2
% 177.48/27.81 | | | | | |
% 177.48/27.81 | | | | | | REDUCE: (6), (66) imply:
% 177.48/27.81 | | | | | | (67) $false
% 177.48/27.81 | | | | | |
% 177.48/27.81 | | | | | | CLOSE: (67) is inconsistent.
% 177.48/27.81 | | | | | |
% 177.48/27.81 | | | | | Case 2:
% 177.48/27.81 | | | | | |
% 177.48/27.81 | | | | | | (68) all_63_4 = e1 | all_63_4 = e0
% 177.48/27.81 | | | | | |
% 177.48/27.81 | | | | | | BETA: splitting (68) gives:
% 177.48/27.81 | | | | | |
% 177.48/27.81 | | | | | | Case 1:
% 177.48/27.81 | | | | | | |
% 177.48/27.81 | | | | | | | (69) all_63_4 = e1
% 177.48/27.81 | | | | | | |
% 177.48/27.81 | | | | | | | COMBINE_EQS: (15), (69) imply:
% 177.48/27.81 | | | | | | | (70) all_61_1 = e1
% 177.48/27.81 | | | | | | |
% 177.48/27.81 | | | | | | | REDUCE: (57), (70) imply:
% 177.48/27.81 | | | | | | | (71) $false
% 177.48/27.81 | | | | | | |
% 177.48/27.81 | | | | | | | CLOSE: (71) is inconsistent.
% 177.48/27.81 | | | | | | |
% 177.48/27.81 | | | | | | Case 2:
% 177.48/27.81 | | | | | | |
% 177.48/27.81 | | | | | | | (72) all_63_4 = e0
% 177.48/27.81 | | | | | | |
% 177.48/27.81 | | | | | | | COMBINE_EQS: (15), (72) imply:
% 177.48/27.81 | | | | | | | (73) all_61_1 = e0
% 177.48/27.81 | | | | | | |
% 177.48/27.81 | | | | | | | REDUCE: (27), (73) imply:
% 177.48/27.81 | | | | | | | (74) ~ (all_61_13 = e0)
% 177.48/27.81 | | | | | | |
% 177.48/27.81 | | | | | | | SIMP: (74) implies:
% 177.48/27.81 | | | | | | | (75) ~ (all_61_13 = e0)
% 177.48/27.81 | | | | | | |
% 177.48/27.81 | | | | | | | BETA: splitting (9) gives:
% 177.48/27.81 | | | | | | |
% 177.48/27.81 | | | | | | | Case 1:
% 177.48/27.81 | | | | | | | |
% 177.48/27.81 | | | | | | | | (76) all_63_7 = e3
% 177.48/27.81 | | | | | | | |
% 177.48/27.81 | | | | | | | | COMBINE_EQS: (4), (76) imply:
% 177.48/27.81 | | | | | | | | (77) all_61_13 = e3
% 177.48/27.81 | | | | | | | |
% 177.48/27.81 | | | | | | | | REDUCE: (25), (77) imply:
% 177.48/27.81 | | | | | | | | (78) ~ (all_8_1 = e3)
% 177.48/27.81 | | | | | | | |
% 177.48/27.81 | | | | | | | | SIMP: (78) implies:
% 177.48/27.81 | | | | | | | | (79) ~ (all_8_1 = e3)
% 177.48/27.81 | | | | | | | |
% 177.48/27.81 | | | | | | | | REF_CLOSE: (5), (7), (14), (16), (17), (26), (32), (33), (58),
% 177.48/27.81 | | | | | | | | (60), (79) are inconsistent by sub-proof #200.
% 177.48/27.81 | | | | | | | |
% 177.48/27.81 | | | | | | | Case 2:
% 177.48/27.81 | | | | | | | |
% 177.48/27.81 | | | | | | | | (80) all_63_7 = e2 | all_63_7 = e1 | all_63_7 = e0
% 177.48/27.81 | | | | | | | |
% 177.48/27.81 | | | | | | | | REF_CLOSE: (4), (10), (59), (75), (80) are inconsistent by
% 177.48/27.81 | | | | | | | | sub-proof #474.
% 177.48/27.81 | | | | | | | |
% 177.48/27.81 | | | | | | | End of split
% 177.48/27.81 | | | | | | |
% 177.48/27.81 | | | | | | End of split
% 177.48/27.81 | | | | | |
% 177.48/27.81 | | | | | End of split
% 177.48/27.81 | | | | |
% 177.48/27.81 | | | | End of split
% 177.48/27.81 | | | |
% 177.48/27.81 | | | Case 2:
% 177.48/27.81 | | | |
% 177.48/27.81 | | | | (81) all_63_9 = e0
% 177.48/27.81 | | | |
% 177.48/27.81 | | | | COMBINE_EQS: (38), (81) imply:
% 177.48/27.81 | | | | (82) unit = e0
% 177.48/27.81 | | | |
% 177.48/27.81 | | | | REDUCE: (46), (82) imply:
% 177.48/27.81 | | | | (83) $false
% 177.48/27.81 | | | |
% 177.48/27.81 | | | | CLOSE: (83) is inconsistent.
% 177.48/27.81 | | | |
% 177.48/27.81 | | | End of split
% 177.48/27.81 | | |
% 177.48/27.81 | | End of split
% 177.48/27.81 | |
% 177.48/27.81 | End of split
% 177.48/27.81 |
% 177.48/27.81 End of proof
% 177.48/27.81
% 177.48/27.81 Sub-proof #200 shows that the following formulas are inconsistent:
% 177.48/27.81 ----------------------------------------------------------------
% 177.48/27.81 (1) all_63_11 = all_8_1
% 177.48/27.81 (2) ~ (all_61_8 = e0)
% 177.48/27.81 (3) ~ (all_8_1 = e3)
% 177.48/27.81 (4) all_63_11 = e3 | all_63_11 = e2 | all_63_11 = e1 | all_63_11 = e0
% 177.48/27.81 (5) ~ (all_8_1 = e1)
% 177.48/27.81 (6) all_63_2 = e3 | all_63_2 = e2 | all_63_2 = e1 | all_63_2 = e0
% 177.48/27.81 (7) ~ (all_61_8 = all_8_1)
% 177.48/27.81 (8) ~ (all_61_8 = e3)
% 177.48/27.81 (9) ~ (all_8_1 = e0)
% 177.48/27.81 (10) ~ (all_61_8 = e1)
% 177.48/27.81 (11) all_63_2 = all_61_8
% 177.48/27.81
% 177.48/27.81 Begin of proof
% 177.48/27.81 |
% 177.48/27.81 | BETA: splitting (4) gives:
% 177.48/27.81 |
% 177.48/27.81 | Case 1:
% 177.48/27.81 | |
% 177.48/27.81 | | (12) all_63_11 = e3
% 177.48/27.81 | |
% 177.48/27.81 | | COMBINE_EQS: (1), (12) imply:
% 177.48/27.81 | | (13) all_8_1 = e3
% 177.48/27.81 | |
% 177.48/27.81 | | REDUCE: (3), (13) imply:
% 177.48/27.81 | | (14) $false
% 177.48/27.81 | |
% 177.48/27.81 | | CLOSE: (14) is inconsistent.
% 177.48/27.81 | |
% 177.48/27.81 | Case 2:
% 177.48/27.81 | |
% 177.48/27.81 | | (15) all_63_11 = e2 | all_63_11 = e1 | all_63_11 = e0
% 177.48/27.81 | |
% 177.48/27.81 | | REF_CLOSE: (1), (2), (5), (6), (7), (8), (9), (10), (11), (15) are
% 177.48/27.81 | | inconsistent by sub-proof #201.
% 177.48/27.81 | |
% 177.48/27.81 | End of split
% 177.48/27.81 |
% 177.48/27.81 End of proof
% 177.48/27.81
% 177.48/27.81 Sub-proof #201 shows that the following formulas are inconsistent:
% 177.48/27.81 ----------------------------------------------------------------
% 177.48/27.81 (1) all_63_11 = all_8_1
% 177.48/27.82 (2) ~ (all_61_8 = e0)
% 177.48/27.82 (3) ~ (all_8_1 = e1)
% 177.48/27.82 (4) all_63_2 = e3 | all_63_2 = e2 | all_63_2 = e1 | all_63_2 = e0
% 177.48/27.82 (5) ~ (all_61_8 = all_8_1)
% 177.48/27.82 (6) ~ (all_61_8 = e3)
% 177.48/27.82 (7) all_63_11 = e2 | all_63_11 = e1 | all_63_11 = e0
% 177.48/27.82 (8) ~ (all_8_1 = e0)
% 177.48/27.82 (9) ~ (all_61_8 = e1)
% 177.48/27.82 (10) all_63_2 = all_61_8
% 177.48/27.82
% 177.48/27.82 Begin of proof
% 177.48/27.82 |
% 177.48/27.82 | BETA: splitting (7) gives:
% 177.48/27.82 |
% 177.48/27.82 | Case 1:
% 177.48/27.82 | |
% 177.48/27.82 | | (11) all_63_11 = e2
% 177.48/27.82 | |
% 177.48/27.82 | | COMBINE_EQS: (1), (11) imply:
% 177.48/27.82 | | (12) all_8_1 = e2
% 177.48/27.82 | |
% 177.48/27.82 | | REDUCE: (5), (12) imply:
% 177.48/27.82 | | (13) ~ (all_61_8 = e2)
% 177.48/27.82 | |
% 177.48/27.82 | | REF_CLOSE: (2), (4), (6), (9), (10), (13) are inconsistent by sub-proof
% 177.48/27.82 | | #400.
% 177.48/27.82 | |
% 177.48/27.82 | Case 2:
% 177.48/27.82 | |
% 177.48/27.82 | | (14) all_63_11 = e1 | all_63_11 = e0
% 177.48/27.82 | |
% 177.48/27.82 | | REF_CLOSE: (1), (3), (8), (14) are inconsistent by sub-proof #202.
% 177.48/27.82 | |
% 177.48/27.82 | End of split
% 177.48/27.82 |
% 177.48/27.82 End of proof
% 177.48/27.82
% 177.48/27.82 Sub-proof #202 shows that the following formulas are inconsistent:
% 177.48/27.82 ----------------------------------------------------------------
% 177.48/27.82 (1) all_63_11 = e1 | all_63_11 = e0
% 177.48/27.82 (2) all_63_11 = all_8_1
% 177.48/27.82 (3) ~ (all_8_1 = e1)
% 177.48/27.82 (4) ~ (all_8_1 = e0)
% 177.48/27.82
% 177.48/27.82 Begin of proof
% 177.48/27.82 |
% 177.48/27.82 | BETA: splitting (1) gives:
% 177.48/27.82 |
% 177.48/27.82 | Case 1:
% 177.48/27.82 | |
% 177.48/27.82 | | (5) all_63_11 = e1
% 177.48/27.82 | |
% 177.48/27.82 | | COMBINE_EQS: (2), (5) imply:
% 177.48/27.82 | | (6) all_8_1 = e1
% 177.48/27.82 | |
% 177.48/27.82 | | REDUCE: (3), (6) imply:
% 177.48/27.82 | | (7) $false
% 177.48/27.82 | |
% 177.48/27.82 | | CLOSE: (7) is inconsistent.
% 177.48/27.82 | |
% 177.48/27.82 | Case 2:
% 177.48/27.82 | |
% 177.48/27.82 | | (8) all_63_11 = e0
% 177.48/27.82 | |
% 177.48/27.82 | | COMBINE_EQS: (2), (8) imply:
% 177.48/27.82 | | (9) all_8_1 = e0
% 177.48/27.82 | |
% 177.48/27.82 | | REDUCE: (4), (9) imply:
% 177.48/27.82 | | (10) $false
% 177.48/27.82 | |
% 177.48/27.82 | | CLOSE: (10) is inconsistent.
% 177.48/27.82 | |
% 177.48/27.82 | End of split
% 177.48/27.82 |
% 177.48/27.82 End of proof
% 177.48/27.82
% 177.48/27.82 Sub-proof #203 shows that the following formulas are inconsistent:
% 177.48/27.82 ----------------------------------------------------------------
% 177.48/27.82 (1) all_56_2 = e3 | all_56_2 = e2 | all_56_2 = e1 | all_56_2 = e0
% 177.48/27.82 (2) all_56_2 = all_52_2
% 177.48/27.82 (3) op(e1, e1) = e0
% 177.48/27.82 (4) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 177.48/27.82 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 177.48/27.82 (5) ~ (all_52_2 = e0)
% 177.48/27.82 (6) op(e2, unit) = e2
% 177.48/27.82 (7) ~ (all_61_13 = e2)
% 177.48/27.82 (8) ~ (all_52_2 = e3)
% 177.48/27.82 (9) ~ (all_52_2 = e2)
% 177.48/27.82 (10) op(e2, e0) = all_61_13
% 177.48/27.82 (11) op(e1, all_52_2) = unit
% 177.48/27.82
% 177.48/27.82 Begin of proof
% 177.48/27.82 |
% 177.48/27.82 | BETA: splitting (1) gives:
% 177.48/27.82 |
% 177.48/27.82 | Case 1:
% 177.48/27.82 | |
% 177.48/27.82 | | (12) all_56_2 = e3
% 177.48/27.82 | |
% 177.48/27.82 | | REF_CLOSE: (2), (8), (12) are inconsistent by sub-proof #482.
% 177.48/27.82 | |
% 177.48/27.82 | Case 2:
% 177.48/27.82 | |
% 177.48/27.82 | | (13) all_56_2 = e2 | all_56_2 = e1 | all_56_2 = e0
% 177.48/27.82 | |
% 177.48/27.82 | | BETA: splitting (13) gives:
% 177.48/27.82 | |
% 177.48/27.82 | | Case 1:
% 177.48/27.82 | | |
% 177.48/27.82 | | | (14) all_56_2 = e2
% 177.48/27.82 | | |
% 177.48/27.82 | | | REF_CLOSE: (2), (9), (14) are inconsistent by sub-proof #481.
% 177.48/27.82 | | |
% 177.48/27.82 | | Case 2:
% 177.48/27.82 | | |
% 177.48/27.82 | | | (15) all_56_2 = e1 | all_56_2 = e0
% 177.48/27.82 | | |
% 177.48/27.82 | | | BETA: splitting (15) gives:
% 177.48/27.82 | | |
% 177.48/27.82 | | | Case 1:
% 177.48/27.82 | | | |
% 177.48/27.82 | | | | (16) all_56_2 = e1
% 177.48/27.82 | | | |
% 177.48/27.82 | | | | COMBINE_EQS: (2), (16) imply:
% 177.48/27.82 | | | | (17) all_52_2 = e1
% 177.48/27.82 | | | |
% 177.48/27.82 | | | | SIMP: (17) implies:
% 177.48/27.82 | | | | (18) all_52_2 = e1
% 177.48/27.82 | | | |
% 177.48/27.82 | | | | REDUCE: (11), (18) imply:
% 177.48/27.82 | | | | (19) op(e1, e1) = unit
% 177.48/27.82 | | | |
% 177.48/27.82 | | | | GROUND_INST: instantiating (4) with e0, unit, e1, e1, simplifying with
% 177.48/27.82 | | | | (3), (19) gives:
% 177.48/27.82 | | | | (20) unit = e0
% 177.48/27.82 | | | |
% 177.48/27.82 | | | | REF_CLOSE: (4), (6), (7), (10), (20) are inconsistent by sub-proof #468.
% 177.48/27.82 | | | |
% 177.48/27.82 | | | Case 2:
% 177.48/27.82 | | | |
% 177.48/27.82 | | | | (21) all_56_2 = e0
% 177.48/27.82 | | | |
% 177.48/27.82 | | | | REF_CLOSE: (2), (5), (21) are inconsistent by sub-proof #480.
% 177.48/27.82 | | | |
% 177.48/27.82 | | | End of split
% 177.48/27.82 | | |
% 177.48/27.82 | | End of split
% 177.48/27.82 | |
% 177.48/27.82 | End of split
% 177.48/27.82 |
% 177.48/27.82 End of proof
% 177.48/27.82
% 177.48/27.82 Sub-proof #204 shows that the following formulas are inconsistent:
% 177.48/27.82 ----------------------------------------------------------------
% 177.48/27.82 (1) all_63_6 = all_61_9
% 177.48/27.82 (2) ~ (all_61_8 = all_61_9)
% 177.48/27.82 (3) ~ (all_61_9 = all_6_2)
% 177.48/27.82 (4) op(e0, all_61_12) = all_65_55
% 177.48/27.82 (5) all_63_5 = e3 | all_63_5 = e2 | all_63_5 = e1 | all_63_5 = e0
% 177.48/27.82 (6) ~ (all_61_1 = all_61_9)
% 177.48/27.82 (7) ~ (all_61_4 = all_6_2)
% 177.48/27.82 (8) all_22_2 = all_6_2
% 177.48/27.82 (9) op(e0, all_6_2) = all_65_59
% 177.48/27.82 (10) all_63_7 = all_61_13
% 177.48/27.82 (11) op(e3, all_14_2) = all_65_0
% 177.48/27.82 (12) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 177.48/27.82 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 177.48/27.82 (13) all_63_7 = e3 | all_63_7 = e2 | all_63_7 = e1 | all_63_7 = e0
% 177.48/27.82 (14) op(e2, all_61_13) = all_65_23
% 177.48/27.82 (15) op(e3, e0) = e0
% 177.48/27.82 (16) ~ (all_61_13 = all_20_2)
% 177.48/27.82 (17) ~ (all_24_1 = e2) | ( ~ (all_24_0 = e3) & op(e2, e1) = all_24_0 &
% 177.48/27.82 $i(all_24_0))
% 177.48/27.82 (18) ~ (all_61_12 = all_8_1)
% 177.48/27.82 (19) op(e3, e1) = all_61_8
% 177.48/27.82 (20) ~ (all_61_12 = all_61_13)
% 177.48/27.82 (21) all_63_5 = all_6_2
% 177.48/27.82 (22) ~ (all_61_13 = all_6_2)
% 177.48/27.82 (23) ~ (all_61_9 = all_8_1)
% 177.48/27.82 (24) op(e0, e0) = all_20_2
% 177.48/27.82 (25) all_63_14 = all_8_1
% 177.48/27.82 (26) op(all_6_2, e0) = all_65_23
% 177.48/27.82 (27) all_63_6 = e3 | all_63_6 = e2 | all_63_6 = e1 | all_63_6 = e0
% 177.48/27.82 (28) ~ (all_61_8 = all_8_1)
% 177.48/27.82 (29) ~ (all_22_2 = e0) | (op(e2, e0) = all_22_1 & $i(all_22_1) & ( ~
% 177.48/27.82 (all_22_1 = e1) | ( ~ (all_22_0 = e3) & op(e1, e2) = all_22_0 &
% 177.48/27.82 $i(all_22_0))))
% 177.48/27.82 (30) ~ (all_61_9 = all_61_13)
% 177.48/27.82 (31) op(e3, e3) = e3
% 177.48/27.82 (32) ~ (all_61_9 = e0)
% 177.48/27.82 (33) op(e3, e0) = all_61_12
% 177.48/27.82 (34) ~ (all_61_13 = all_8_1)
% 177.48/27.82 (35) op(all_20_2, e3) = all_65_73
% 177.48/27.82 (36) ~ (all_20_2 = all_8_1)
% 177.48/27.82 (37) all_63_15 = e3 | all_63_15 = e2 | all_63_15 = e1 | all_63_15 = e0
% 177.48/27.82 (38) all_63_14 = e3 | all_63_14 = e2 | all_63_14 = e1 | all_63_14 = e0
% 177.48/27.82 (39) all_24_1 = all_8_1
% 177.48/27.82 (40) op(e3, e1) = e1
% 177.48/27.82 (41) op(e2, e3) = all_61_1
% 177.48/27.82 (42) op(e3, e2) = e2
% 177.48/27.82 (43) op(e2, e3) = e2
% 177.48/27.82 (44) op(e3, e2) = all_61_4
% 177.48/27.82 (45) op(e3, e3) = all_14_2
% 177.48/27.82 (46) ~ (all_61_12 = all_20_2)
% 177.48/27.82 (47) all_63_15 = all_20_2
% 177.48/27.82 (48) op(e3, all_20_2) = all_65_15
% 177.48/27.82 (49) op(all_61_12, e0) = all_65_15
% 177.48/27.82
% 177.48/27.82 Begin of proof
% 177.48/27.82 |
% 177.48/27.82 | GROUND_INST: instantiating (12) with all_61_1, e2, e3, e2, simplifying with
% 177.48/27.82 | (41), (43) gives:
% 177.48/27.82 | (50) all_61_1 = e2
% 177.48/27.82 |
% 177.48/27.82 | GROUND_INST: instantiating (12) with all_61_12, e0, e0, e3, simplifying with
% 177.48/27.82 | (15), (33) gives:
% 177.48/27.82 | (51) all_61_12 = e0
% 177.48/27.82 |
% 177.48/27.82 | GROUND_INST: instantiating (12) with all_61_8, e1, e1, e3, simplifying with
% 177.48/27.82 | (19), (40) gives:
% 177.48/27.82 | (52) all_61_8 = e1
% 177.48/27.82 |
% 177.48/27.82 | GROUND_INST: instantiating (12) with all_61_4, e2, e2, e3, simplifying with
% 177.48/27.82 | (42), (44) gives:
% 177.48/27.82 | (53) all_61_4 = e2
% 177.48/27.82 |
% 177.48/27.82 | GROUND_INST: instantiating (12) with all_14_2, e3, e3, e3, simplifying with
% 177.48/27.82 | (31), (45) gives:
% 177.48/27.82 | (54) all_14_2 = e3
% 177.48/27.82 |
% 177.48/27.82 | REDUCE: (6), (50) imply:
% 177.48/27.82 | (55) ~ (all_61_9 = e2)
% 177.48/27.82 |
% 177.48/27.82 | SIMP: (55) implies:
% 177.48/27.82 | (56) ~ (all_61_9 = e2)
% 177.48/27.82 |
% 177.48/27.82 | REDUCE: (7), (53) imply:
% 177.48/27.82 | (57) ~ (all_6_2 = e2)
% 177.48/27.82 |
% 177.48/27.82 | SIMP: (57) implies:
% 177.48/27.82 | (58) ~ (all_6_2 = e2)
% 177.48/27.82 |
% 177.48/27.82 | REDUCE: (2), (52) imply:
% 177.48/27.82 | (59) ~ (all_61_9 = e1)
% 177.48/27.82 |
% 177.48/27.82 | SIMP: (59) implies:
% 177.48/27.82 | (60) ~ (all_61_9 = e1)
% 177.48/27.82 |
% 177.48/27.82 | REDUCE: (28), (52) imply:
% 177.48/27.82 | (61) ~ (all_8_1 = e1)
% 177.48/27.82 |
% 177.48/27.82 | SIMP: (61) implies:
% 177.48/27.82 | (62) ~ (all_8_1 = e1)
% 177.48/27.82 |
% 177.48/27.82 | REDUCE: (20), (51) imply:
% 177.48/27.82 | (63) ~ (all_61_13 = e0)
% 177.48/27.82 |
% 177.48/27.82 | SIMP: (63) implies:
% 177.48/27.82 | (64) ~ (all_61_13 = e0)
% 177.48/27.82 |
% 177.48/27.82 | REDUCE: (46), (51) imply:
% 177.48/27.82 | (65) ~ (all_20_2 = e0)
% 177.48/27.82 |
% 177.48/27.82 | SIMP: (65) implies:
% 177.48/27.82 | (66) ~ (all_20_2 = e0)
% 177.48/27.82 |
% 177.48/27.82 | REDUCE: (18), (51) imply:
% 177.48/27.82 | (67) ~ (all_8_1 = e0)
% 177.48/27.82 |
% 177.48/27.82 | SIMP: (67) implies:
% 177.48/27.82 | (68) ~ (all_8_1 = e0)
% 177.48/27.82 |
% 177.48/27.82 | REDUCE: (49), (51) imply:
% 177.48/27.82 | (69) op(e0, e0) = all_65_15
% 177.48/27.82 |
% 177.48/27.82 | REDUCE: (11), (54) imply:
% 177.48/27.82 | (70) op(e3, e3) = all_65_0
% 177.48/27.82 |
% 177.48/27.82 | REDUCE: (4), (51) imply:
% 177.48/27.82 | (71) op(e0, e0) = all_65_55
% 177.48/27.82 |
% 177.48/27.82 | BETA: splitting (27) gives:
% 177.48/27.82 |
% 177.48/27.82 | Case 1:
% 177.48/27.82 | |
% 177.48/27.82 | | (72) all_63_6 = e3
% 177.48/27.82 | |
% 177.48/27.82 | | COMBINE_EQS: (1), (72) imply:
% 177.48/27.82 | | (73) all_61_9 = e3
% 177.48/27.82 | |
% 177.48/27.82 | | SIMP: (73) implies:
% 177.48/27.82 | | (74) all_61_9 = e3
% 177.48/27.82 | |
% 177.48/27.82 | | REDUCE: (30), (74) imply:
% 177.48/27.82 | | (75) ~ (all_61_13 = e3)
% 177.48/27.82 | |
% 177.48/27.82 | | SIMP: (75) implies:
% 177.48/27.82 | | (76) ~ (all_61_13 = e3)
% 177.48/27.82 | |
% 177.48/27.82 | | REDUCE: (23), (74) imply:
% 177.48/27.82 | | (77) ~ (all_8_1 = e3)
% 177.48/27.82 | |
% 177.48/27.82 | | SIMP: (77) implies:
% 177.48/27.82 | | (78) ~ (all_8_1 = e3)
% 177.48/27.82 | |
% 177.48/27.82 | | REDUCE: (3), (74) imply:
% 177.48/27.82 | | (79) ~ (all_6_2 = e3)
% 177.48/27.82 | |
% 177.48/27.82 | | SIMP: (79) implies:
% 177.48/27.82 | | (80) ~ (all_6_2 = e3)
% 177.48/27.82 | |
% 177.48/27.82 | | BETA: splitting (38) gives:
% 177.48/27.82 | |
% 177.48/27.82 | | Case 1:
% 177.48/27.82 | | |
% 177.48/27.82 | | | (81) all_63_14 = e3
% 177.48/27.82 | | |
% 177.48/27.82 | | | COMBINE_EQS: (25), (81) imply:
% 177.48/27.82 | | | (82) all_8_1 = e3
% 177.48/27.82 | | |
% 177.48/27.82 | | | SIMP: (82) implies:
% 177.48/27.82 | | | (83) all_8_1 = e3
% 177.48/27.82 | | |
% 177.48/27.82 | | | REDUCE: (78), (83) imply:
% 177.48/27.82 | | | (84) $false
% 177.48/27.82 | | |
% 177.48/27.82 | | | CLOSE: (84) is inconsistent.
% 177.48/27.82 | | |
% 177.48/27.82 | | Case 2:
% 177.48/27.82 | | |
% 177.48/27.82 | | | (85) all_63_14 = e2 | all_63_14 = e1 | all_63_14 = e0
% 177.48/27.82 | | |
% 177.48/27.82 | | | BETA: splitting (85) gives:
% 177.48/27.82 | | |
% 177.48/27.82 | | | Case 1:
% 177.48/27.82 | | | |
% 177.48/27.82 | | | | (86) all_63_14 = e2
% 177.48/27.82 | | | |
% 177.48/27.82 | | | | COMBINE_EQS: (25), (86) imply:
% 177.48/27.82 | | | | (87) all_8_1 = e2
% 177.48/27.82 | | | |
% 177.48/27.82 | | | | SIMP: (87) implies:
% 177.48/27.82 | | | | (88) all_8_1 = e2
% 177.48/27.82 | | | |
% 177.48/27.82 | | | | COMBINE_EQS: (39), (88) imply:
% 177.48/27.82 | | | | (89) all_24_1 = e2
% 177.48/27.82 | | | |
% 177.48/27.82 | | | | REDUCE: (34), (88) imply:
% 177.48/27.82 | | | | (90) ~ (all_61_13 = e2)
% 177.48/27.82 | | | |
% 177.48/27.82 | | | | REDUCE: (36), (88) imply:
% 177.48/27.82 | | | | (91) ~ (all_20_2 = e2)
% 177.48/27.82 | | | |
% 177.48/27.82 | | | | BETA: splitting (13) gives:
% 177.48/27.82 | | | |
% 177.48/27.82 | | | | Case 1:
% 177.48/27.82 | | | | |
% 177.48/27.82 | | | | | (92) all_63_7 = e3
% 177.48/27.82 | | | | |
% 177.48/27.82 | | | | | COMBINE_EQS: (10), (92) imply:
% 177.48/27.82 | | | | | (93) all_61_13 = e3
% 177.48/27.82 | | | | |
% 177.48/27.82 | | | | | REDUCE: (76), (93) imply:
% 177.48/27.82 | | | | | (94) $false
% 177.48/27.82 | | | | |
% 177.48/27.82 | | | | | CLOSE: (94) is inconsistent.
% 177.48/27.82 | | | | |
% 177.48/27.82 | | | | Case 2:
% 177.48/27.82 | | | | |
% 177.48/27.82 | | | | | (95) all_63_7 = e2 | all_63_7 = e1 | all_63_7 = e0
% 177.48/27.82 | | | | |
% 177.48/27.82 | | | | | BETA: splitting (17) gives:
% 177.48/27.82 | | | | |
% 177.48/27.82 | | | | | Case 1:
% 177.48/27.82 | | | | | |
% 177.48/27.82 | | | | | | (96) ~ (all_24_1 = e2)
% 177.48/27.82 | | | | | |
% 177.48/27.82 | | | | | | REDUCE: (89), (96) imply:
% 177.48/27.82 | | | | | | (97) $false
% 177.48/27.82 | | | | | |
% 177.48/27.82 | | | | | | CLOSE: (97) is inconsistent.
% 177.48/27.82 | | | | | |
% 177.48/27.82 | | | | | Case 2:
% 177.48/27.82 | | | | | |
% 177.48/27.82 | | | | | | (98) ~ (all_24_0 = e3) & op(e2, e1) = all_24_0 & $i(all_24_0)
% 177.48/27.82 | | | | | |
% 177.48/27.82 | | | | | | ALPHA: (98) implies:
% 177.48/27.82 | | | | | | (99) ~ (all_24_0 = e3)
% 177.48/27.82 | | | | | | (100) op(e2, e1) = all_24_0
% 177.48/27.82 | | | | | |
% 177.48/27.82 | | | | | | BETA: splitting (95) gives:
% 177.48/27.82 | | | | | |
% 177.48/27.82 | | | | | | Case 1:
% 177.48/27.82 | | | | | | |
% 177.48/27.82 | | | | | | | (101) all_63_7 = e2
% 177.48/27.82 | | | | | | |
% 177.48/27.82 | | | | | | | COMBINE_EQS: (10), (101) imply:
% 177.48/27.82 | | | | | | | (102) all_61_13 = e2
% 177.48/27.82 | | | | | | |
% 177.48/27.82 | | | | | | | REDUCE: (90), (102) imply:
% 177.48/27.82 | | | | | | | (103) $false
% 177.48/27.82 | | | | | | |
% 177.48/27.82 | | | | | | | CLOSE: (103) is inconsistent.
% 177.48/27.82 | | | | | | |
% 177.48/27.82 | | | | | | Case 2:
% 177.48/27.82 | | | | | | |
% 177.48/27.82 | | | | | | | (104) all_63_7 = e1 | all_63_7 = e0
% 177.48/27.82 | | | | | | |
% 177.48/27.82 | | | | | | | BETA: splitting (104) gives:
% 177.48/27.82 | | | | | | |
% 177.48/27.82 | | | | | | | Case 1:
% 177.48/27.82 | | | | | | | |
% 177.48/27.82 | | | | | | | | (105) all_63_7 = e1
% 177.48/27.82 | | | | | | | |
% 177.48/27.82 | | | | | | | | COMBINE_EQS: (10), (105) imply:
% 177.48/27.82 | | | | | | | | (106) all_61_13 = e1
% 177.48/27.82 | | | | | | | |
% 177.48/27.82 | | | | | | | | REDUCE: (16), (106) imply:
% 177.48/27.82 | | | | | | | | (107) ~ (all_20_2 = e1)
% 177.48/27.82 | | | | | | | |
% 177.48/27.82 | | | | | | | | SIMP: (107) implies:
% 177.48/27.82 | | | | | | | | (108) ~ (all_20_2 = e1)
% 177.48/27.82 | | | | | | | |
% 177.48/27.82 | | | | | | | | REDUCE: (22), (106) imply:
% 177.48/27.82 | | | | | | | | (109) ~ (all_6_2 = e1)
% 177.48/27.82 | | | | | | | |
% 177.48/27.82 | | | | | | | | SIMP: (109) implies:
% 177.48/27.82 | | | | | | | | (110) ~ (all_6_2 = e1)
% 177.48/27.82 | | | | | | | |
% 177.48/27.82 | | | | | | | | REDUCE: (14), (106) imply:
% 177.48/27.82 | | | | | | | | (111) op(e2, e1) = all_65_23
% 177.48/27.82 | | | | | | | |
% 177.48/27.82 | | | | | | | | BETA: splitting (29) gives:
% 177.48/27.82 | | | | | | | |
% 177.48/27.82 | | | | | | | | Case 1:
% 177.48/27.82 | | | | | | | | |
% 177.48/27.82 | | | | | | | | | (112) ~ (all_22_2 = e0)
% 177.48/27.82 | | | | | | | | |
% 177.48/27.82 | | | | | | | | | REDUCE: (8), (112) imply:
% 177.48/27.82 | | | | | | | | | (113) ~ (all_6_2 = e0)
% 177.48/27.82 | | | | | | | | |
% 177.48/27.82 | | | | | | | | | BETA: splitting (5) gives:
% 177.48/27.82 | | | | | | | | |
% 177.48/27.82 | | | | | | | | | Case 1:
% 177.48/27.82 | | | | | | | | | |
% 177.48/27.82 | | | | | | | | | | (114) all_63_5 = e3
% 177.48/27.82 | | | | | | | | | |
% 177.48/27.82 | | | | | | | | | | COMBINE_EQS: (21), (114) imply:
% 177.48/27.82 | | | | | | | | | | (115) all_6_2 = e3
% 177.48/27.82 | | | | | | | | | |
% 177.48/27.82 | | | | | | | | | | REDUCE: (80), (115) imply:
% 177.48/27.82 | | | | | | | | | | (116) $false
% 177.48/27.82 | | | | | | | | | |
% 177.48/27.82 | | | | | | | | | | CLOSE: (116) is inconsistent.
% 177.48/27.82 | | | | | | | | | |
% 177.48/27.82 | | | | | | | | | Case 2:
% 177.48/27.82 | | | | | | | | | |
% 177.48/27.82 | | | | | | | | | | (117) all_63_5 = e2 | all_63_5 = e1 | all_63_5 = e0
% 177.48/27.82 | | | | | | | | | |
% 177.48/27.82 | | | | | | | | | | BETA: splitting (117) gives:
% 177.48/27.82 | | | | | | | | | |
% 177.48/27.82 | | | | | | | | | | Case 1:
% 177.48/27.82 | | | | | | | | | | |
% 177.48/27.82 | | | | | | | | | | | (118) all_63_5 = e2
% 177.48/27.82 | | | | | | | | | | |
% 177.48/27.82 | | | | | | | | | | | COMBINE_EQS: (21), (118) imply:
% 177.48/27.82 | | | | | | | | | | | (119) all_6_2 = e2
% 177.48/27.82 | | | | | | | | | | |
% 177.48/27.82 | | | | | | | | | | | REDUCE: (58), (119) imply:
% 177.48/27.82 | | | | | | | | | | | (120) $false
% 177.48/27.82 | | | | | | | | | | |
% 177.48/27.82 | | | | | | | | | | | CLOSE: (120) is inconsistent.
% 177.48/27.82 | | | | | | | | | | |
% 177.48/27.82 | | | | | | | | | | Case 2:
% 177.48/27.82 | | | | | | | | | | |
% 177.48/27.82 | | | | | | | | | | | (121) all_63_5 = e1 | all_63_5 = e0
% 177.48/27.82 | | | | | | | | | | |
% 177.48/27.82 | | | | | | | | | | | REF_CLOSE: (21), (110), (113), (121) are inconsistent by
% 177.48/27.82 | | | | | | | | | | | sub-proof #524.
% 177.48/27.82 | | | | | | | | | | |
% 177.48/27.82 | | | | | | | | | | End of split
% 177.48/27.82 | | | | | | | | | |
% 177.48/27.82 | | | | | | | | | End of split
% 177.48/27.82 | | | | | | | | |
% 177.48/27.82 | | | | | | | | Case 2:
% 177.48/27.82 | | | | | | | | |
% 177.48/27.82 | | | | | | | | | (122) all_22_2 = e0
% 177.48/27.82 | | | | | | | | |
% 177.48/27.82 | | | | | | | | | COMBINE_EQS: (8), (122) imply:
% 177.48/27.82 | | | | | | | | | (123) all_6_2 = e0
% 177.48/27.82 | | | | | | | | |
% 177.48/27.82 | | | | | | | | | SIMP: (123) implies:
% 177.48/27.82 | | | | | | | | | (124) all_6_2 = e0
% 177.48/27.82 | | | | | | | | |
% 177.48/27.82 | | | | | | | | | REDUCE: (26), (124) imply:
% 177.48/27.82 | | | | | | | | | (125) op(e0, e0) = all_65_23
% 177.48/27.82 | | | | | | | | |
% 177.48/27.82 | | | | | | | | | REDUCE: (9), (124) imply:
% 177.48/27.82 | | | | | | | | | (126) op(e0, e0) = all_65_59
% 177.48/27.82 | | | | | | | | |
% 177.48/27.82 | | | | | | | | | BETA: splitting (37) gives:
% 177.48/27.82 | | | | | | | | |
% 177.48/27.82 | | | | | | | | | Case 1:
% 177.48/27.82 | | | | | | | | | |
% 177.48/27.82 | | | | | | | | | | (127) all_63_15 = e3
% 177.48/27.82 | | | | | | | | | |
% 177.48/27.82 | | | | | | | | | | COMBINE_EQS: (47), (127) imply:
% 177.48/27.82 | | | | | | | | | | (128) all_20_2 = e3
% 177.48/27.82 | | | | | | | | | |
% 177.48/27.82 | | | | | | | | | | SIMP: (128) implies:
% 177.48/27.82 | | | | | | | | | | (129) all_20_2 = e3
% 177.48/27.82 | | | | | | | | | |
% 177.48/27.82 | | | | | | | | | | REDUCE: (35), (129) imply:
% 177.48/27.82 | | | | | | | | | | (130) op(e3, e3) = all_65_73
% 177.48/27.82 | | | | | | | | | |
% 177.48/27.82 | | | | | | | | | | REDUCE: (48), (129) imply:
% 177.48/27.82 | | | | | | | | | | (131) op(e3, e3) = all_65_15
% 177.48/27.82 | | | | | | | | | |
% 177.48/27.82 | | | | | | | | | | REDUCE: (24), (129) imply:
% 177.48/27.82 | | | | | | | | | | (132) op(e0, e0) = e3
% 177.48/27.82 | | | | | | | | | |
% 177.48/27.82 | | | | | | | | | | GROUND_INST: instantiating (12) with e3, all_65_55, e0, e0,
% 177.48/27.82 | | | | | | | | | | simplifying with (71), (132) gives:
% 177.48/27.82 | | | | | | | | | | (133) all_65_55 = e3
% 177.48/27.82 | | | | | | | | | |
% 177.48/27.82 | | | | | | | | | | GROUND_INST: instantiating (12) with all_65_55, all_65_23, e0,
% 177.48/27.82 | | | | | | | | | | e0, simplifying with (71), (125) gives:
% 177.48/27.82 | | | | | | | | | | (134) all_65_23 = all_65_55
% 177.48/27.82 | | | | | | | | | |
% 177.48/27.82 | | | | | | | | | | GROUND_INST: instantiating (12) with all_65_59, all_65_23, e0,
% 177.48/27.82 | | | | | | | | | | e0, simplifying with (125), (126) gives:
% 177.48/27.82 | | | | | | | | | | (135) all_65_23 = all_65_59
% 177.48/27.82 | | | | | | | | | |
% 177.48/27.82 | | | | | | | | | | GROUND_INST: instantiating (12) with all_65_55, all_65_15, e0,
% 177.48/27.82 | | | | | | | | | | e0, simplifying with (69), (71) gives:
% 177.48/27.82 | | | | | | | | | | (136) all_65_15 = all_65_55
% 177.48/27.82 | | | | | | | | | |
% 177.48/27.82 | | | | | | | | | | GROUND_INST: instantiating (12) with all_24_0, all_65_23, e1,
% 177.48/27.82 | | | | | | | | | | e2, simplifying with (100), (111) gives:
% 177.48/27.82 | | | | | | | | | | (137) all_65_23 = all_24_0
% 177.48/27.82 | | | | | | | | | |
% 177.48/27.82 | | | | | | | | | | GROUND_INST: instantiating (12) with all_65_15, all_65_0, e3,
% 177.48/27.82 | | | | | | | | | | e3, simplifying with (70), (131) gives:
% 177.48/27.82 | | | | | | | | | | (138) all_65_0 = all_65_15
% 177.48/27.82 | | | | | | | | | |
% 177.48/27.82 | | | | | | | | | | GROUND_INST: instantiating (12) with all_65_73, all_65_0, e3,
% 177.48/27.82 | | | | | | | | | | e3, simplifying with (70), (130) gives:
% 177.48/27.82 | | | | | | | | | | (139) all_65_0 = all_65_73
% 177.48/27.82 | | | | | | | | | |
% 177.48/27.82 | | | | | | | | | | COMBINE_EQS: (138), (139) imply:
% 177.48/27.82 | | | | | | | | | | (140) all_65_15 = all_65_73
% 177.48/27.82 | | | | | | | | | |
% 177.48/27.82 | | | | | | | | | | SIMP: (140) implies:
% 177.48/27.82 | | | | | | | | | | (141) all_65_15 = all_65_73
% 177.48/27.82 | | | | | | | | | |
% 177.48/27.82 | | | | | | | | | | COMBINE_EQS: (136), (141) imply:
% 177.48/27.82 | | | | | | | | | | (142) all_65_55 = all_65_73
% 177.48/27.82 | | | | | | | | | |
% 177.48/27.82 | | | | | | | | | | SIMP: (142) implies:
% 177.48/27.82 | | | | | | | | | | (143) all_65_55 = all_65_73
% 177.48/27.82 | | | | | | | | | |
% 177.48/27.82 | | | | | | | | | | COMBINE_EQS: (134), (135) imply:
% 177.48/27.82 | | | | | | | | | | (144) all_65_55 = all_65_59
% 177.48/27.82 | | | | | | | | | |
% 177.48/27.82 | | | | | | | | | | SIMP: (144) implies:
% 177.48/27.82 | | | | | | | | | | (145) all_65_55 = all_65_59
% 177.48/27.82 | | | | | | | | | |
% 177.48/27.82 | | | | | | | | | | COMBINE_EQS: (135), (137) imply:
% 177.48/27.82 | | | | | | | | | | (146) all_65_59 = all_24_0
% 177.48/27.82 | | | | | | | | | |
% 177.48/27.82 | | | | | | | | | | COMBINE_EQS: (133), (145) imply:
% 177.48/27.82 | | | | | | | | | | (147) all_65_59 = e3
% 177.48/27.82 | | | | | | | | | |
% 177.48/27.82 | | | | | | | | | | COMBINE_EQS: (143), (145) imply:
% 177.48/27.82 | | | | | | | | | | (148) all_65_59 = all_65_73
% 177.48/27.82 | | | | | | | | | |
% 177.48/27.82 | | | | | | | | | | COMBINE_EQS: (146), (148) imply:
% 177.48/27.82 | | | | | | | | | | (149) all_65_73 = all_24_0
% 177.48/27.82 | | | | | | | | | |
% 177.48/27.82 | | | | | | | | | | COMBINE_EQS: (147), (148) imply:
% 177.48/27.82 | | | | | | | | | | (150) all_65_73 = e3
% 177.48/27.82 | | | | | | | | | |
% 177.48/27.82 | | | | | | | | | | COMBINE_EQS: (149), (150) imply:
% 177.48/27.82 | | | | | | | | | | (151) all_24_0 = e3
% 177.48/27.82 | | | | | | | | | |
% 177.48/27.82 | | | | | | | | | | SIMP: (151) implies:
% 177.48/27.82 | | | | | | | | | | (152) all_24_0 = e3
% 177.48/27.82 | | | | | | | | | |
% 177.48/27.82 | | | | | | | | | | REDUCE: (99), (152) imply:
% 177.48/27.82 | | | | | | | | | | (153) $false
% 177.48/27.82 | | | | | | | | | |
% 177.48/27.82 | | | | | | | | | | CLOSE: (153) is inconsistent.
% 177.48/27.82 | | | | | | | | | |
% 177.48/27.82 | | | | | | | | | Case 2:
% 177.48/27.82 | | | | | | | | | |
% 177.48/27.82 | | | | | | | | | | (154) all_63_15 = e2 | all_63_15 = e1 | all_63_15 = e0
% 177.48/27.82 | | | | | | | | | |
% 177.48/27.82 | | | | | | | | | | REF_CLOSE: (47), (66), (91), (108), (154) are inconsistent by
% 177.48/27.82 | | | | | | | | | | sub-proof #206.
% 177.48/27.82 | | | | | | | | | |
% 177.48/27.82 | | | | | | | | | End of split
% 177.48/27.82 | | | | | | | | |
% 177.48/27.82 | | | | | | | | End of split
% 177.48/27.82 | | | | | | | |
% 177.48/27.82 | | | | | | | Case 2:
% 177.48/27.82 | | | | | | | |
% 177.48/27.82 | | | | | | | | (155) all_63_7 = e0
% 177.48/27.82 | | | | | | | |
% 177.48/27.82 | | | | | | | | COMBINE_EQS: (10), (155) imply:
% 177.48/27.82 | | | | | | | | (156) all_61_13 = e0
% 177.48/27.82 | | | | | | | |
% 177.48/27.82 | | | | | | | | REDUCE: (64), (156) imply:
% 177.48/27.82 | | | | | | | | (157) $false
% 177.48/27.82 | | | | | | | |
% 177.48/27.82 | | | | | | | | CLOSE: (157) is inconsistent.
% 177.48/27.82 | | | | | | | |
% 177.48/27.82 | | | | | | | End of split
% 177.48/27.82 | | | | | | |
% 177.48/27.82 | | | | | | End of split
% 177.48/27.82 | | | | | |
% 177.48/27.82 | | | | | End of split
% 177.48/27.82 | | | | |
% 177.48/27.82 | | | | End of split
% 177.48/27.82 | | | |
% 177.48/27.82 | | | Case 2:
% 177.48/27.82 | | | |
% 177.48/27.82 | | | | (158) all_63_14 = e1 | all_63_14 = e0
% 177.48/27.82 | | | |
% 177.48/27.82 | | | | REF_CLOSE: (25), (62), (68), (158) are inconsistent by sub-proof #205.
% 177.48/27.82 | | | |
% 177.48/27.82 | | | End of split
% 177.48/27.82 | | |
% 177.48/27.82 | | End of split
% 177.48/27.82 | |
% 177.48/27.82 | Case 2:
% 177.48/27.82 | |
% 177.48/27.82 | | (159) all_63_6 = e2 | all_63_6 = e1 | all_63_6 = e0
% 177.48/27.82 | |
% 177.48/27.82 | | REF_CLOSE: (1), (32), (56), (60), (159) are inconsistent by sub-proof #410.
% 177.48/27.82 | |
% 177.48/27.82 | End of split
% 177.48/27.82 |
% 177.48/27.82 End of proof
% 177.48/27.82
% 177.48/27.82 Sub-proof #205 shows that the following formulas are inconsistent:
% 177.48/27.82 ----------------------------------------------------------------
% 177.48/27.82 (1) all_63_14 = e1 | all_63_14 = e0
% 177.48/27.82 (2) all_63_14 = all_8_1
% 177.48/27.82 (3) ~ (all_8_1 = e1)
% 177.48/27.82 (4) ~ (all_8_1 = e0)
% 177.48/27.82
% 177.48/27.82 Begin of proof
% 177.48/27.82 |
% 177.48/27.82 | BETA: splitting (1) gives:
% 177.48/27.82 |
% 177.48/27.82 | Case 1:
% 177.48/27.82 | |
% 177.48/27.82 | | (5) all_63_14 = e1
% 177.48/27.82 | |
% 177.48/27.82 | | COMBINE_EQS: (2), (5) imply:
% 177.48/27.82 | | (6) all_8_1 = e1
% 177.48/27.82 | |
% 177.48/27.82 | | SIMP: (6) implies:
% 177.48/27.82 | | (7) all_8_1 = e1
% 177.48/27.82 | |
% 177.48/27.82 | | REDUCE: (3), (7) imply:
% 177.48/27.82 | | (8) $false
% 177.48/27.82 | |
% 177.48/27.82 | | CLOSE: (8) is inconsistent.
% 177.48/27.82 | |
% 177.48/27.82 | Case 2:
% 177.48/27.82 | |
% 177.48/27.82 | | (9) all_63_14 = e0
% 177.48/27.82 | |
% 177.48/27.82 | | COMBINE_EQS: (2), (9) imply:
% 177.48/27.82 | | (10) all_8_1 = e0
% 177.48/27.82 | |
% 177.48/27.82 | | SIMP: (10) implies:
% 177.48/27.82 | | (11) all_8_1 = e0
% 177.48/27.82 | |
% 177.48/27.82 | | REDUCE: (4), (11) imply:
% 177.48/27.82 | | (12) $false
% 177.48/27.82 | |
% 177.48/27.82 | | CLOSE: (12) is inconsistent.
% 177.48/27.82 | |
% 177.48/27.82 | End of split
% 177.48/27.82 |
% 177.48/27.82 End of proof
% 177.48/27.82
% 177.48/27.82 Sub-proof #206 shows that the following formulas are inconsistent:
% 177.48/27.82 ----------------------------------------------------------------
% 177.48/27.82 (1) ~ (all_20_2 = e2)
% 177.48/27.82 (2) ~ (all_20_2 = e0)
% 177.48/27.82 (3) ~ (all_20_2 = e1)
% 177.48/27.82 (4) all_63_15 = e2 | all_63_15 = e1 | all_63_15 = e0
% 177.48/27.82 (5) all_63_15 = all_20_2
% 177.48/27.82
% 177.48/27.82 Begin of proof
% 177.48/27.82 |
% 177.48/27.82 | BETA: splitting (4) gives:
% 177.48/27.82 |
% 177.48/27.82 | Case 1:
% 177.48/27.82 | |
% 177.48/27.82 | | (6) all_63_15 = e2
% 177.48/27.82 | |
% 177.48/27.82 | | REF_CLOSE: (1), (5), (6) are inconsistent by sub-proof #500.
% 177.48/27.82 | |
% 177.48/27.82 | Case 2:
% 177.48/27.82 | |
% 177.48/27.82 | | (7) all_63_15 = e1 | all_63_15 = e0
% 177.48/27.82 | |
% 177.48/27.82 | | BETA: splitting (7) gives:
% 177.48/27.82 | |
% 177.48/27.82 | | Case 1:
% 177.48/27.82 | | |
% 177.48/27.82 | | | (8) all_63_15 = e1
% 177.48/27.82 | | |
% 177.48/27.82 | | | REF_CLOSE: (3), (5), (8) are inconsistent by sub-proof #499.
% 177.48/27.82 | | |
% 177.48/27.82 | | Case 2:
% 177.48/27.82 | | |
% 177.48/27.82 | | | (9) all_63_15 = e0
% 177.48/27.82 | | |
% 177.48/27.82 | | | REF_CLOSE: (2), (5), (9) are inconsistent by sub-proof #207.
% 177.48/27.82 | | |
% 177.48/27.82 | | End of split
% 177.48/27.82 | |
% 177.48/27.82 | End of split
% 177.48/27.82 |
% 177.48/27.82 End of proof
% 177.48/27.82
% 177.48/27.82 Sub-proof #207 shows that the following formulas are inconsistent:
% 177.48/27.82 ----------------------------------------------------------------
% 177.48/27.82 (1) all_63_15 = all_20_2
% 177.48/27.82 (2) all_63_15 = e0
% 177.48/27.82 (3) ~ (all_20_2 = e0)
% 177.48/27.82
% 177.48/27.82 Begin of proof
% 177.48/27.82 |
% 177.48/27.82 | COMBINE_EQS: (1), (2) imply:
% 177.48/27.82 | (4) all_20_2 = e0
% 177.48/27.82 |
% 177.48/27.82 | SIMP: (4) implies:
% 177.48/27.82 | (5) all_20_2 = e0
% 177.48/27.82 |
% 177.48/27.82 | REDUCE: (3), (5) imply:
% 177.48/27.82 | (6) $false
% 177.48/27.82 |
% 177.48/27.82 | CLOSE: (6) is inconsistent.
% 177.48/27.82 |
% 177.48/27.82 End of proof
% 177.48/27.82
% 177.48/27.82 Sub-proof #208 shows that the following formulas are inconsistent:
% 177.48/27.82 ----------------------------------------------------------------
% 177.48/27.82 (1) op(e2, all_61_13) = all_61_14
% 177.48/27.82 (2) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 177.48/27.82 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 177.48/27.82 (3) all_58_1 = e0
% 177.48/27.82 (4) op(e0, e2) = all_61_7
% 177.48/27.82 (5) op(all_61_7, e2) = all_61_11
% 177.48/27.82 (6) all_58_3 = all_52_3
% 177.48/27.82 (7) op(e2, all_52_1) = unit
% 177.48/27.82 (8) op(e2, e0) = all_61_13
% 177.48/27.82 (9) all_58_1 = all_52_1
% 177.48/27.82 (10) ~ (all_61_14 = e2)
% 177.48/27.82 (11) all_58_3 = e2
% 177.48/27.82 (12) op(all_61_13, e2) = all_65_29
% 177.48/27.82 (13) op(e0, all_52_3) = unit
% 177.48/27.82 (14) op(e2, all_61_7) = all_65_29
% 177.48/27.82 (15) op(unit, e2) = e2
% 177.48/27.82
% 177.48/27.82 Begin of proof
% 177.48/27.82 |
% 177.48/27.82 | COMBINE_EQS: (3), (9) imply:
% 177.48/27.82 | (16) all_52_1 = e0
% 177.48/27.82 |
% 177.48/27.82 | SIMP: (16) implies:
% 177.48/27.82 | (17) all_52_1 = e0
% 177.48/27.82 |
% 177.48/27.82 | COMBINE_EQS: (6), (11) imply:
% 177.48/27.82 | (18) all_52_3 = e2
% 177.48/27.82 |
% 177.48/27.82 | SIMP: (18) implies:
% 177.48/27.82 | (19) all_52_3 = e2
% 177.48/27.82 |
% 177.48/27.82 | REF_CLOSE: (1), (2), (4), (5), (7), (8), (10), (12), (13), (14), (15), (17),
% 177.48/27.82 | (19) are inconsistent by sub-proof #325.
% 177.48/27.82 |
% 177.48/27.82 End of proof
% 177.48/27.82
% 177.48/27.82 Sub-proof #209 shows that the following formulas are inconsistent:
% 177.48/27.82 ----------------------------------------------------------------
% 177.48/27.82 (1) e3 = e1
% 177.48/27.82 (2) e3 = e2
% 177.48/27.82 (3) e3 = e0
% 177.48/27.82 (4) ~ (e1 = e0)
% 177.48/27.82
% 177.48/27.82 Begin of proof
% 177.48/27.82 |
% 177.48/27.82 | COMBINE_EQS: (1), (2) imply:
% 177.48/27.82 | (5) e2 = e1
% 177.48/27.82 |
% 177.48/27.82 | COMBINE_EQS: (2), (3) imply:
% 177.48/27.82 | (6) e2 = e0
% 177.48/27.82 |
% 177.48/27.82 | COMBINE_EQS: (5), (6) imply:
% 177.48/27.82 | (7) e1 = e0
% 177.48/27.82 |
% 177.48/27.82 | REDUCE: (4), (7) imply:
% 177.48/27.82 | (8) $false
% 177.48/27.82 |
% 177.48/27.82 | CLOSE: (8) is inconsistent.
% 177.48/27.82 |
% 177.48/27.82 End of proof
% 177.48/27.82
% 177.48/27.82 Sub-proof #210 shows that the following formulas are inconsistent:
% 177.48/27.82 ----------------------------------------------------------------
% 177.48/27.82 (1) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 177.48/27.82 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 177.48/27.82 (2) op(all_61_14, e1) = all_20_1
% 177.48/27.83 (3) ~ (all_20_1 = e1)
% 177.48/27.83 (4) op(unit, e1) = e1
% 177.48/27.83 (5) op(e1, e0) = all_61_14
% 177.48/27.83 (6) op(e1, e0) = unit
% 177.48/27.83
% 177.48/27.83 Begin of proof
% 177.48/27.83 |
% 177.48/27.83 | GROUND_INST: instantiating (1) with all_61_14, unit, e0, e1, simplifying with
% 177.48/27.83 | (5), (6) gives:
% 177.48/27.83 | (7) all_61_14 = unit
% 177.48/27.83 |
% 177.48/27.83 | REDUCE: (2), (7) imply:
% 177.48/27.83 | (8) op(unit, e1) = all_20_1
% 177.48/27.83 |
% 177.48/27.83 | GROUND_INST: instantiating (1) with e1, all_20_1, e1, unit, simplifying with
% 177.48/27.83 | (4), (8) gives:
% 177.48/27.83 | (9) all_20_1 = e1
% 177.48/27.83 |
% 177.48/27.83 | REDUCE: (3), (9) imply:
% 177.48/27.83 | (10) $false
% 177.48/27.83 |
% 177.48/27.83 | CLOSE: (10) is inconsistent.
% 177.48/27.83 |
% 177.48/27.83 End of proof
% 177.48/27.83
% 177.48/27.83 Sub-proof #211 shows that the following formulas are inconsistent:
% 177.48/27.83 ----------------------------------------------------------------
% 177.48/27.83 (1) all_63_13 = all_20_1
% 177.48/27.83 (2) all_63_13 = e1
% 177.48/27.83 (3) ~ (all_20_1 = e1)
% 177.48/27.83
% 177.48/27.83 Begin of proof
% 177.48/27.83 |
% 177.48/27.83 | COMBINE_EQS: (1), (2) imply:
% 177.48/27.83 | (4) all_20_1 = e1
% 177.48/27.83 |
% 177.48/27.83 | SIMP: (4) implies:
% 177.48/27.83 | (5) all_20_1 = e1
% 177.48/27.83 |
% 177.48/27.83 | REDUCE: (3), (5) imply:
% 177.48/27.83 | (6) $false
% 177.48/27.83 |
% 177.48/27.83 | CLOSE: (6) is inconsistent.
% 177.48/27.83 |
% 177.48/27.83 End of proof
% 177.48/27.83
% 177.48/27.83 Sub-proof #212 shows that the following formulas are inconsistent:
% 177.48/27.83 ----------------------------------------------------------------
% 177.48/27.83 (1) all_63_13 = all_20_1
% 177.48/27.83 (2) all_63_13 = e2
% 177.48/27.83 (3) ~ (all_20_1 = e2)
% 177.48/27.83
% 177.48/27.83 Begin of proof
% 177.48/27.83 |
% 177.48/27.83 | COMBINE_EQS: (1), (2) imply:
% 177.48/27.83 | (4) all_20_1 = e2
% 177.48/27.83 |
% 177.48/27.83 | SIMP: (4) implies:
% 177.48/27.83 | (5) all_20_1 = e2
% 177.48/27.83 |
% 177.48/27.83 | REDUCE: (3), (5) imply:
% 177.48/27.83 | (6) $false
% 177.48/27.83 |
% 177.48/27.83 | CLOSE: (6) is inconsistent.
% 177.48/27.83 |
% 177.48/27.83 End of proof
% 177.48/27.83
% 177.48/27.83 Sub-proof #213 shows that the following formulas are inconsistent:
% 177.48/27.83 ----------------------------------------------------------------
% 177.48/27.83 (1) op(e0, e0) = e3
% 177.48/27.83 (2) ~ (all_52_0 = all_52_1)
% 177.48/27.83 (3) all_56_2 = e3 | all_56_2 = e2 | all_56_2 = e1 | all_56_2 = e0
% 177.48/27.83 (4) all_56_2 = all_52_2
% 177.48/27.83 (5) ~ (all_52_1 = all_52_3)
% 177.48/27.83 (6) all_58_0 = all_52_0
% 177.48/27.83 (7) all_56_1 = e3 | all_56_1 = e2 | all_56_1 = e1 | all_56_1 = e0
% 177.48/27.83 (8) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 177.48/27.83 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 177.48/27.83 (9) op(e2, e2) = e1
% 177.48/27.83 (10) op(e1, e1) = e2
% 177.48/27.83 (11) ~ (all_58_3 = e1) | all_58_2 = e0
% 177.48/27.83 (12) ~ (all_52_1 = all_52_2)
% 177.48/27.83 (13) ~ (all_58_3 = e2) | all_58_1 = e0
% 177.48/27.83 (14) op(unit, e1) = e1
% 177.48/27.83 (15) all_56_3 = e3 | all_56_3 = e2 | all_56_3 = e1 | all_56_3 = e0
% 177.48/27.83 (16) op(all_61_13, e2) = all_61_14
% 177.48/27.83 (17) all_56_1 = all_52_1
% 177.48/27.83 (18) all_58_3 = all_52_3
% 177.48/27.83 (19) op(e2, all_52_1) = unit
% 177.48/27.83 (20) all_58_2 = all_52_2
% 177.48/27.83 (21) ~ (all_58_1 = e0) | all_58_3 = e2
% 177.48/27.83 (22) op(e2, e0) = all_61_13
% 177.48/27.83 (23) ~ (all_58_3 = e3) | all_58_0 = e0
% 177.48/27.83 (24) all_56_3 = all_52_3
% 177.48/27.83 (25) op(e1, e0) = all_61_14
% 177.48/27.83 (26) all_58_1 = all_52_1
% 177.48/27.83 (27) ~ (all_61_13 = e1)
% 177.48/27.83 (28) op(all_61_14, e1) = all_61_13
% 177.48/27.83 (29) ~ (all_52_0 = all_52_2)
% 177.48/27.83 (30) ~ (all_61_14 = e2)
% 177.48/27.83 (31) op(e1, all_52_2) = unit
% 177.48/27.83 (32) ~ (unit = e3)
% 177.48/27.83 (33) op(e0, all_52_3) = unit
% 177.48/27.83 (34) ~ (all_58_2 = e2)
% 177.48/27.83 (35) ~ (all_52_2 = all_52_3)
% 177.48/27.83 (36) op(unit, e2) = e2
% 177.48/27.83
% 177.48/27.83 Begin of proof
% 177.48/27.83 |
% 177.48/27.83 | REDUCE: (20), (34) imply:
% 177.48/27.83 | (37) ~ (all_52_2 = e2)
% 177.48/27.83 |
% 177.48/27.83 | BETA: splitting (11) gives:
% 177.48/27.83 |
% 177.48/27.83 | Case 1:
% 177.48/27.83 | |
% 177.48/27.83 | | (38) ~ (all_58_3 = e1)
% 177.48/27.83 | |
% 177.48/27.83 | | REDUCE: (18), (38) imply:
% 177.48/27.83 | | (39) ~ (all_52_3 = e1)
% 177.48/27.83 | |
% 177.48/27.83 | | BETA: splitting (21) gives:
% 177.48/27.83 | |
% 177.48/27.83 | | Case 1:
% 177.48/27.83 | | |
% 177.48/27.83 | | | (40) ~ (all_58_1 = e0)
% 177.48/27.83 | | |
% 177.48/27.83 | | | REDUCE: (26), (40) imply:
% 177.48/27.83 | | | (41) ~ (all_52_1 = e0)
% 177.48/27.83 | | |
% 177.48/27.83 | | | BETA: splitting (13) gives:
% 177.48/27.83 | | |
% 177.48/27.83 | | | Case 1:
% 177.48/27.83 | | | |
% 177.48/27.83 | | | | (42) ~ (all_58_3 = e2)
% 177.48/27.83 | | | |
% 177.48/27.83 | | | | REDUCE: (18), (42) imply:
% 177.48/27.83 | | | | (43) ~ (all_52_3 = e2)
% 177.48/27.83 | | | |
% 177.48/27.83 | | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (12),
% 177.48/27.83 | | | | (15), (17), (18), (19), (23), (24), (29), (31), (32), (33),
% 177.48/27.83 | | | | (35), (37), (39), (43) are inconsistent by sub-proof #214.
% 177.48/27.83 | | | |
% 177.48/27.83 | | | Case 2:
% 177.48/27.83 | | | |
% 177.48/27.83 | | | | (44) all_58_1 = e0
% 177.48/27.83 | | | |
% 177.48/27.83 | | | | REF_CLOSE: (26), (41), (44) are inconsistent by sub-proof #462.
% 177.48/27.83 | | | |
% 177.48/27.83 | | | End of split
% 177.48/27.83 | | |
% 177.48/27.83 | | Case 2:
% 177.48/27.83 | | |
% 177.48/27.83 | | | (45) all_58_1 = e0
% 177.48/27.83 | | |
% 177.48/27.83 | | | COMBINE_EQS: (26), (45) imply:
% 177.48/27.83 | | | (46) all_52_1 = e0
% 177.48/27.83 | | |
% 177.48/27.83 | | | SIMP: (46) implies:
% 177.48/27.83 | | | (47) all_52_1 = e0
% 177.48/27.83 | | |
% 177.48/27.83 | | | REDUCE: (19), (47) imply:
% 177.48/27.83 | | | (48) op(e2, e0) = unit
% 177.48/27.83 | | |
% 177.48/27.83 | | | GROUND_INST: instantiating (8) with all_61_13, unit, e0, e2, simplifying
% 177.48/27.83 | | | with (22), (48) gives:
% 177.48/27.83 | | | (49) all_61_13 = unit
% 177.48/27.83 | | |
% 177.48/27.83 | | | REDUCE: (16), (49) imply:
% 177.48/27.83 | | | (50) op(unit, e2) = all_61_14
% 177.48/27.83 | | |
% 177.48/27.83 | | | GROUND_INST: instantiating (8) with e2, all_61_14, e2, unit, simplifying
% 177.48/27.83 | | | with (36), (50) gives:
% 177.48/27.83 | | | (51) all_61_14 = e2
% 177.48/27.83 | | |
% 177.48/27.83 | | | REDUCE: (30), (51) imply:
% 177.48/27.83 | | | (52) $false
% 177.48/27.83 | | |
% 177.48/27.83 | | | CLOSE: (52) is inconsistent.
% 177.48/27.83 | | |
% 177.48/27.83 | | End of split
% 177.48/27.83 | |
% 177.48/27.83 | Case 2:
% 177.48/27.83 | |
% 177.48/27.83 | | (53) all_58_2 = e0
% 177.48/27.83 | |
% 177.48/27.83 | | COMBINE_EQS: (20), (53) imply:
% 177.48/27.83 | | (54) all_52_2 = e0
% 177.48/27.83 | |
% 177.48/27.83 | | SIMP: (54) implies:
% 177.48/27.83 | | (55) all_52_2 = e0
% 177.48/27.83 | |
% 177.48/27.83 | | REDUCE: (31), (55) imply:
% 177.48/27.83 | | (56) op(e1, e0) = unit
% 177.48/27.83 | |
% 177.48/27.83 | | GROUND_INST: instantiating (8) with all_61_14, unit, e0, e1, simplifying
% 177.48/27.83 | | with (25), (56) gives:
% 177.48/27.83 | | (57) all_61_14 = unit
% 177.48/27.83 | |
% 177.48/27.83 | | REDUCE: (28), (57) imply:
% 177.48/27.83 | | (58) op(unit, e1) = all_61_13
% 177.48/27.83 | |
% 177.48/27.83 | | GROUND_INST: instantiating (8) with e1, all_61_13, e1, unit, simplifying
% 177.48/27.83 | | with (14), (58) gives:
% 177.48/27.83 | | (59) all_61_13 = e1
% 177.48/27.83 | |
% 177.48/27.83 | | REDUCE: (27), (59) imply:
% 177.48/27.83 | | (60) $false
% 177.48/27.83 | |
% 177.48/27.83 | | CLOSE: (60) is inconsistent.
% 177.48/27.83 | |
% 177.48/27.83 | End of split
% 177.48/27.83 |
% 177.48/27.83 End of proof
% 177.48/27.83
% 177.48/27.83 Sub-proof #214 shows that the following formulas are inconsistent:
% 177.48/27.83 ----------------------------------------------------------------
% 177.48/27.83 (1) op(e0, e0) = e3
% 177.48/27.83 (2) ~ (all_52_0 = all_52_1)
% 177.48/27.83 (3) all_56_2 = e3 | all_56_2 = e2 | all_56_2 = e1 | all_56_2 = e0
% 177.48/27.83 (4) all_56_2 = all_52_2
% 177.48/27.83 (5) ~ (all_52_1 = all_52_3)
% 177.48/27.83 (6) ~ (all_52_3 = e2)
% 177.48/27.83 (7) all_58_0 = all_52_0
% 177.48/27.83 (8) all_56_1 = e3 | all_56_1 = e2 | all_56_1 = e1 | all_56_1 = e0
% 177.48/27.83 (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 177.48/27.83 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 177.48/27.83 (10) op(e2, e2) = e1
% 177.48/27.83 (11) op(e1, e1) = e2
% 177.48/27.83 (12) ~ (all_52_1 = all_52_2)
% 177.48/27.83 (13) all_56_3 = e3 | all_56_3 = e2 | all_56_3 = e1 | all_56_3 = e0
% 177.48/27.83 (14) all_56_1 = all_52_1
% 177.48/27.83 (15) all_58_3 = all_52_3
% 177.48/27.83 (16) ~ (all_52_2 = e2)
% 177.48/27.83 (17) op(e2, all_52_1) = unit
% 177.48/27.83 (18) ~ (all_58_3 = e3) | all_58_0 = e0
% 177.48/27.83 (19) ~ (all_52_3 = e1)
% 177.48/27.83 (20) all_56_3 = all_52_3
% 177.48/27.83 (21) ~ (all_52_0 = all_52_2)
% 177.48/27.83 (22) op(e1, all_52_2) = unit
% 177.48/27.83 (23) ~ (unit = e3)
% 177.48/27.83 (24) op(e0, all_52_3) = unit
% 177.48/27.83 (25) ~ (all_52_2 = all_52_3)
% 177.48/27.83
% 177.48/27.83 Begin of proof
% 177.48/27.83 |
% 177.48/27.83 | BETA: splitting (18) gives:
% 177.48/27.83 |
% 177.48/27.83 | Case 1:
% 177.48/27.83 | |
% 177.48/27.83 | | (26) ~ (all_58_3 = e3)
% 177.48/27.83 | |
% 177.48/27.83 | | REDUCE: (15), (26) imply:
% 177.48/27.83 | | (27) ~ (all_52_3 = e3)
% 177.48/27.83 | |
% 177.48/27.83 | | REF_CLOSE: (1), (6), (9), (13), (19), (20), (23), (24), (27) are
% 177.48/27.83 | | inconsistent by sub-proof #439.
% 177.48/27.83 | |
% 177.48/27.83 | Case 2:
% 177.48/27.83 | |
% 177.48/27.83 | | (28) all_58_3 = e3
% 177.48/27.83 | | (29) all_58_0 = e0
% 177.48/27.83 | |
% 177.48/27.83 | | COMBINE_EQS: (7), (29) imply:
% 177.48/27.83 | | (30) all_52_0 = e0
% 177.48/27.83 | |
% 177.48/27.83 | | SIMP: (30) implies:
% 177.48/27.83 | | (31) all_52_0 = e0
% 177.48/27.83 | |
% 177.48/27.83 | | COMBINE_EQS: (15), (28) imply:
% 177.48/27.83 | | (32) all_52_3 = e3
% 177.48/27.83 | |
% 177.48/27.83 | | REDUCE: (2), (31) imply:
% 177.48/27.83 | | (33) ~ (all_52_1 = e0)
% 177.48/27.83 | |
% 177.48/27.83 | | SIMP: (33) implies:
% 177.48/27.83 | | (34) ~ (all_52_1 = e0)
% 177.48/27.83 | |
% 177.48/27.83 | | REDUCE: (21), (31) imply:
% 177.48/27.83 | | (35) ~ (all_52_2 = e0)
% 177.48/27.83 | |
% 177.48/27.83 | | SIMP: (35) implies:
% 177.48/27.83 | | (36) ~ (all_52_2 = e0)
% 177.48/27.83 | |
% 177.48/27.83 | | REDUCE: (5), (32) imply:
% 177.48/27.83 | | (37) ~ (all_52_1 = e3)
% 177.48/27.83 | |
% 177.48/27.83 | | REDUCE: (25), (32) imply:
% 177.48/27.83 | | (38) ~ (all_52_2 = e3)
% 177.48/27.83 | |
% 177.48/27.83 | | BETA: splitting (3) gives:
% 177.48/27.83 | |
% 177.48/27.83 | | Case 1:
% 177.48/27.83 | | |
% 177.48/27.83 | | | (39) all_56_2 = e3
% 177.48/27.83 | | |
% 177.48/27.83 | | | REF_CLOSE: (4), (38), (39) are inconsistent by sub-proof #482.
% 177.48/27.83 | | |
% 177.48/27.83 | | Case 2:
% 177.48/27.83 | | |
% 177.48/27.83 | | | (40) all_56_2 = e2 | all_56_2 = e1 | all_56_2 = e0
% 177.48/27.83 | | |
% 177.48/27.83 | | | BETA: splitting (8) gives:
% 177.48/27.83 | | |
% 177.48/27.83 | | | Case 1:
% 177.48/27.83 | | | |
% 177.48/27.83 | | | | (41) all_56_1 = e3
% 177.48/27.83 | | | |
% 177.48/27.83 | | | | REF_CLOSE: (14), (37), (41) are inconsistent by sub-proof #455.
% 177.48/27.83 | | | |
% 177.48/27.83 | | | Case 2:
% 177.48/27.83 | | | |
% 177.48/27.83 | | | | (42) all_56_1 = e2 | all_56_1 = e1 | all_56_1 = e0
% 177.48/27.83 | | | |
% 177.48/27.83 | | | | BETA: splitting (40) gives:
% 177.48/27.83 | | | |
% 177.48/27.83 | | | | Case 1:
% 177.48/27.83 | | | | |
% 177.48/27.83 | | | | | (43) all_56_2 = e2
% 177.48/27.83 | | | | |
% 177.48/27.83 | | | | | REF_CLOSE: (4), (16), (43) are inconsistent by sub-proof #481.
% 177.48/27.83 | | | | |
% 177.48/27.83 | | | | Case 2:
% 177.48/27.83 | | | | |
% 177.48/27.83 | | | | | (44) all_56_2 = e1 | all_56_2 = e0
% 177.48/27.83 | | | | |
% 177.48/27.83 | | | | | BETA: splitting (44) gives:
% 177.48/27.83 | | | | |
% 177.48/27.83 | | | | | Case 1:
% 177.48/27.83 | | | | | |
% 177.48/27.83 | | | | | | (45) all_56_2 = e1
% 177.48/27.83 | | | | | |
% 177.48/27.83 | | | | | | COMBINE_EQS: (4), (45) imply:
% 177.48/27.83 | | | | | | (46) all_52_2 = e1
% 177.48/27.83 | | | | | |
% 177.48/27.83 | | | | | | SIMP: (46) implies:
% 177.48/27.83 | | | | | | (47) all_52_2 = e1
% 177.48/27.83 | | | | | |
% 177.48/27.83 | | | | | | REDUCE: (12), (47) imply:
% 177.48/27.83 | | | | | | (48) ~ (all_52_1 = e1)
% 177.48/27.83 | | | | | |
% 177.48/27.83 | | | | | | REDUCE: (22), (47) imply:
% 177.48/27.83 | | | | | | (49) op(e1, e1) = unit
% 177.48/27.83 | | | | | |
% 177.48/27.83 | | | | | | BETA: splitting (42) gives:
% 177.48/27.83 | | | | | |
% 177.48/27.83 | | | | | | Case 1:
% 177.48/27.83 | | | | | | |
% 177.48/27.83 | | | | | | | (50) all_56_1 = e2
% 177.48/27.83 | | | | | | |
% 177.48/27.83 | | | | | | | COMBINE_EQS: (14), (50) imply:
% 177.48/27.83 | | | | | | | (51) all_52_1 = e2
% 177.48/27.83 | | | | | | |
% 177.48/27.83 | | | | | | | SIMP: (51) implies:
% 177.48/27.83 | | | | | | | (52) all_52_1 = e2
% 177.48/27.83 | | | | | | |
% 177.48/27.83 | | | | | | | REDUCE: (48), (52) imply:
% 177.48/27.83 | | | | | | | (53) ~ (e2 = e1)
% 177.48/27.83 | | | | | | |
% 177.48/27.83 | | | | | | | REDUCE: (17), (52) imply:
% 177.48/27.83 | | | | | | | (54) op(e2, e2) = unit
% 177.48/27.83 | | | | | | |
% 177.48/27.83 | | | | | | | GROUND_INST: instantiating (9) with e2, unit, e1, e1, simplifying
% 177.48/27.83 | | | | | | | with (11), (49) gives:
% 177.48/27.83 | | | | | | | (55) unit = e2
% 177.48/27.83 | | | | | | |
% 177.48/27.83 | | | | | | | GROUND_INST: instantiating (9) with e1, unit, e2, e2, simplifying
% 177.48/27.83 | | | | | | | with (10), (54) gives:
% 177.48/27.83 | | | | | | | (56) unit = e1
% 177.48/27.83 | | | | | | |
% 177.48/27.83 | | | | | | | COMBINE_EQS: (55), (56) imply:
% 177.48/27.83 | | | | | | | (57) e2 = e1
% 177.48/27.83 | | | | | | |
% 177.48/27.83 | | | | | | | REDUCE: (53), (57) imply:
% 177.48/27.83 | | | | | | | (58) $false
% 177.48/27.83 | | | | | | |
% 177.48/27.83 | | | | | | | CLOSE: (58) is inconsistent.
% 177.48/27.83 | | | | | | |
% 177.48/27.83 | | | | | | Case 2:
% 177.48/27.83 | | | | | | |
% 177.48/27.83 | | | | | | | (59) all_56_1 = e1 | all_56_1 = e0
% 177.48/27.83 | | | | | | |
% 177.48/27.83 | | | | | | | REF_CLOSE: (14), (34), (48), (59) are inconsistent by sub-proof
% 177.48/27.83 | | | | | | | #454.
% 177.48/27.83 | | | | | | |
% 177.48/27.83 | | | | | | End of split
% 177.48/27.83 | | | | | |
% 177.48/27.83 | | | | | Case 2:
% 177.48/27.83 | | | | | |
% 177.48/27.83 | | | | | | (60) all_56_2 = e0
% 177.48/27.83 | | | | | |
% 177.48/27.83 | | | | | | REF_CLOSE: (4), (36), (60) are inconsistent by sub-proof #480.
% 177.48/27.83 | | | | | |
% 177.48/27.83 | | | | | End of split
% 177.48/27.83 | | | | |
% 177.48/27.83 | | | | End of split
% 177.48/27.83 | | | |
% 177.48/27.83 | | | End of split
% 177.48/27.83 | | |
% 177.48/27.83 | | End of split
% 177.48/27.83 | |
% 177.48/27.83 | End of split
% 177.48/27.83 |
% 177.48/27.83 End of proof
% 177.48/27.83
% 177.48/27.83 Sub-proof #215 shows that the following formulas are inconsistent:
% 177.48/27.83 ----------------------------------------------------------------
% 177.48/27.83 (1) all_56_2 = e3 | all_56_2 = e2 | all_56_2 = e1 | all_56_2 = e0
% 177.48/27.83 (2) all_56_2 = all_52_2
% 177.48/27.83 (3) op(e2, all_61_13) = all_61_14
% 177.48/27.83 (4) all_58_0 = all_52_0
% 177.48/27.83 (5) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 177.48/27.83 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 177.48/27.83 (6) op(e2, unit) = e2
% 177.48/27.83 (7) op(e2, e2) = e1
% 177.48/27.83 (8) op(e1, e1) = e2
% 177.48/27.83 (9) ~ (e2 = e1)
% 177.48/27.83 (10) ~ (all_58_3 = e2) | all_58_1 = e0
% 177.48/27.83 (11) ~ (all_58_2 = e2) | all_58_1 = e1
% 177.48/27.83 (12) op(e0, e2) = all_61_7
% 177.48/27.83 (13) op(all_61_7, e2) = all_61_11
% 177.48/27.83 (14) all_56_3 = e3 | all_56_3 = e2 | all_56_3 = e1 | all_56_3 = e0
% 177.48/27.83 (15) all_58_3 = all_52_3
% 177.48/27.83 (16) ~ (all_52_2 = e2)
% 177.48/27.83 (17) op(e2, all_52_1) = unit
% 177.48/27.83 (18) all_58_2 = all_52_2
% 177.48/27.83 (19) op(e2, e0) = all_61_13
% 177.48/27.83 (20) ~ (all_58_3 = e3) | all_58_0 = e0
% 177.48/27.83 (21) ~ (all_52_3 = e1)
% 177.48/27.83 (22) all_56_3 = all_52_3
% 177.48/27.83 (23) all_58_1 = all_52_1
% 177.48/27.83 (24) op(e1, unit) = e1
% 177.48/27.83 (25) op(e0, e0) = e1
% 177.48/27.83 (26) ~ (all_52_0 = all_52_2)
% 177.48/27.83 (27) ~ (all_61_14 = e2)
% 177.48/27.83 (28) op(e1, all_52_2) = unit
% 177.48/27.83 (29) ~ (all_58_1 = e1) | all_58_2 = e2
% 177.48/27.83 (30) op(all_61_13, e2) = all_65_29
% 177.48/27.83 (31) op(e0, all_52_3) = unit
% 177.48/27.83 (32) ~ (all_52_2 = all_52_3)
% 177.48/27.83 (33) op(e2, all_61_7) = all_65_29
% 177.48/27.83 (34) op(unit, e2) = e2
% 177.48/27.83
% 177.48/27.83 Begin of proof
% 177.48/27.83 |
% 177.48/27.83 | BETA: splitting (29) gives:
% 177.48/27.83 |
% 177.48/27.83 | Case 1:
% 177.48/27.83 | |
% 177.48/27.83 | | (35) ~ (all_58_1 = e1)
% 177.48/27.83 | |
% 177.48/27.83 | | REDUCE: (23), (35) imply:
% 177.48/27.83 | | (36) ~ (all_52_1 = e1)
% 177.48/27.83 | |
% 177.48/27.83 | | BETA: splitting (20) gives:
% 177.48/27.83 | |
% 177.48/27.83 | | Case 1:
% 177.48/27.83 | | |
% 177.48/27.83 | | | (37) ~ (all_58_3 = e3)
% 177.48/27.83 | | |
% 177.48/27.83 | | | REDUCE: (15), (37) imply:
% 177.48/27.83 | | | (38) ~ (all_52_3 = e3)
% 177.48/27.83 | | |
% 177.48/27.83 | | | REF_CLOSE: (3), (5), (8), (9), (10), (12), (13), (14), (15), (17), (19),
% 177.48/27.83 | | | (21), (22), (23), (24), (25), (27), (30), (31), (33), (34),
% 177.48/27.83 | | | (38) are inconsistent by sub-proof #217.
% 177.48/27.83 | | |
% 177.48/27.83 | | Case 2:
% 177.48/27.83 | | |
% 177.48/27.83 | | | (39) all_58_3 = e3
% 177.48/27.83 | | | (40) all_58_0 = e0
% 177.48/27.83 | | |
% 177.48/27.83 | | | REF_CLOSE: (1), (2), (4), (5), (6), (7), (8), (11), (15), (18), (23),
% 177.48/27.83 | | | (26), (28), (32), (36), (39), (40) are inconsistent by
% 177.48/27.83 | | | sub-proof #216.
% 177.48/27.83 | | |
% 177.48/27.83 | | End of split
% 177.48/27.83 | |
% 177.48/27.83 | Case 2:
% 177.48/27.83 | |
% 177.48/27.83 | | (41) all_58_2 = e2
% 177.48/27.83 | |
% 177.48/27.83 | | REF_CLOSE: (16), (18), (41) are inconsistent by sub-proof #433.
% 177.48/27.83 | |
% 177.48/27.83 | End of split
% 177.48/27.83 |
% 177.48/27.83 End of proof
% 177.48/27.83
% 177.48/27.83 Sub-proof #216 shows that the following formulas are inconsistent:
% 177.48/27.83 ----------------------------------------------------------------
% 177.48/27.83 (1) all_56_2 = e3 | all_56_2 = e2 | all_56_2 = e1 | all_56_2 = e0
% 177.48/27.83 (2) all_56_2 = all_52_2
% 177.48/27.83 (3) all_58_0 = all_52_0
% 177.48/27.83 (4) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 177.48/27.83 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 177.48/27.83 (5) op(e2, unit) = e2
% 177.48/27.83 (6) op(e2, e2) = e1
% 177.48/27.83 (7) op(e1, e1) = e2
% 177.48/27.83 (8) ~ (all_58_2 = e2) | all_58_1 = e1
% 177.48/27.83 (9) all_58_0 = e0
% 177.48/27.83 (10) all_58_3 = all_52_3
% 177.48/27.83 (11) all_58_2 = all_52_2
% 177.48/27.83 (12) all_58_1 = all_52_1
% 177.48/27.83 (13) all_58_3 = e3
% 177.48/27.83 (14) ~ (all_52_1 = e1)
% 177.48/27.83 (15) ~ (all_52_0 = all_52_2)
% 177.48/27.83 (16) op(e1, all_52_2) = unit
% 177.48/27.83 (17) ~ (all_52_2 = all_52_3)
% 177.48/27.83
% 177.48/27.83 Begin of proof
% 177.48/27.83 |
% 177.48/27.83 | COMBINE_EQS: (3), (9) imply:
% 177.48/27.83 | (18) all_52_0 = e0
% 177.48/27.83 |
% 177.48/27.83 | SIMP: (18) implies:
% 177.48/27.83 | (19) all_52_0 = e0
% 177.48/27.83 |
% 177.48/27.83 | COMBINE_EQS: (10), (13) imply:
% 177.48/27.83 | (20) all_52_3 = e3
% 177.48/27.83 |
% 177.48/27.83 | REDUCE: (15), (19) imply:
% 177.48/27.83 | (21) ~ (all_52_2 = e0)
% 177.48/27.83 |
% 177.48/27.83 | SIMP: (21) implies:
% 177.48/27.83 | (22) ~ (all_52_2 = e0)
% 177.48/27.83 |
% 177.48/27.83 | REDUCE: (17), (20) imply:
% 177.48/27.83 | (23) ~ (all_52_2 = e3)
% 177.48/27.83 |
% 177.48/27.83 | REF_CLOSE: (1), (2), (4), (5), (6), (7), (8), (11), (12), (14), (16), (22),
% 177.48/27.83 | (23) are inconsistent by sub-proof #227.
% 177.48/27.83 |
% 177.48/27.83 End of proof
% 177.48/27.83
% 177.48/27.83 Sub-proof #217 shows that the following formulas are inconsistent:
% 177.48/27.83 ----------------------------------------------------------------
% 177.48/27.83 (1) op(e2, all_61_13) = all_61_14
% 177.48/27.83 (2) ~ (all_52_3 = e3)
% 177.48/27.83 (3) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 177.48/27.83 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 177.48/27.83 (4) op(e1, e1) = e2
% 177.48/27.83 (5) ~ (e2 = e1)
% 177.48/27.83 (6) ~ (all_58_3 = e2) | all_58_1 = e0
% 177.48/27.83 (7) op(e0, e2) = all_61_7
% 177.48/27.83 (8) op(all_61_7, e2) = all_61_11
% 177.48/27.83 (9) all_56_3 = e3 | all_56_3 = e2 | all_56_3 = e1 | all_56_3 = e0
% 177.48/27.83 (10) all_58_3 = all_52_3
% 177.48/27.83 (11) op(e2, all_52_1) = unit
% 177.48/27.83 (12) op(e2, e0) = all_61_13
% 177.48/27.83 (13) ~ (all_52_3 = e1)
% 177.48/27.83 (14) all_56_3 = all_52_3
% 177.48/27.83 (15) all_58_1 = all_52_1
% 177.48/27.83 (16) op(e1, unit) = e1
% 177.48/27.83 (17) op(e0, e0) = e1
% 177.48/27.83 (18) ~ (all_61_14 = e2)
% 177.48/27.83 (19) op(all_61_13, e2) = all_65_29
% 177.48/27.83 (20) op(e0, all_52_3) = unit
% 177.48/27.83 (21) op(e2, all_61_7) = all_65_29
% 177.48/27.83 (22) op(unit, e2) = e2
% 177.48/27.83
% 177.48/27.83 Begin of proof
% 177.48/27.83 |
% 177.48/27.83 | BETA: splitting (6) gives:
% 177.48/27.83 |
% 177.48/27.83 | Case 1:
% 177.48/27.83 | |
% 177.48/27.83 | | (23) ~ (all_58_3 = e2)
% 177.48/27.83 | |
% 177.48/27.83 | | REDUCE: (10), (23) imply:
% 177.48/27.83 | | (24) ~ (all_52_3 = e2)
% 177.48/27.83 | |
% 177.48/27.83 | | REF_CLOSE: (2), (3), (4), (5), (9), (13), (14), (16), (17), (20), (24) are
% 177.48/27.83 | | inconsistent by sub-proof #218.
% 177.48/27.83 | |
% 177.48/27.83 | Case 2:
% 177.48/27.83 | |
% 177.48/27.83 | | (25) all_58_3 = e2
% 177.48/27.83 | | (26) all_58_1 = e0
% 177.48/27.83 | |
% 177.48/27.83 | | REF_CLOSE: (1), (3), (7), (8), (10), (11), (12), (15), (18), (19), (20),
% 177.48/27.83 | | (21), (22), (25), (26) are inconsistent by sub-proof #324.
% 177.48/27.83 | |
% 177.48/27.83 | End of split
% 177.48/27.83 |
% 177.48/27.83 End of proof
% 177.48/27.83
% 177.48/27.83 Sub-proof #218 shows that the following formulas are inconsistent:
% 177.48/27.83 ----------------------------------------------------------------
% 177.48/27.83 (1) ~ (all_52_3 = e3)
% 177.48/27.83 (2) ~ (all_52_3 = e2)
% 177.48/27.83 (3) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 177.48/27.83 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 177.48/27.83 (4) op(e1, e1) = e2
% 177.48/27.83 (5) ~ (e2 = e1)
% 177.48/27.83 (6) all_56_3 = e3 | all_56_3 = e2 | all_56_3 = e1 | all_56_3 = e0
% 177.48/27.83 (7) ~ (all_52_3 = e1)
% 177.48/27.83 (8) all_56_3 = all_52_3
% 177.48/27.83 (9) op(e1, unit) = e1
% 177.48/27.83 (10) op(e0, e0) = e1
% 177.48/27.83 (11) op(e0, all_52_3) = unit
% 177.48/27.83
% 177.48/27.83 Begin of proof
% 177.48/27.83 |
% 177.48/27.83 | BETA: splitting (6) gives:
% 177.48/27.83 |
% 177.48/27.83 | Case 1:
% 177.48/27.83 | |
% 177.48/27.83 | | (12) all_56_3 = e3
% 177.48/27.83 | |
% 177.48/27.83 | | COMBINE_EQS: (8), (12) imply:
% 177.48/27.83 | | (13) all_52_3 = e3
% 177.48/27.83 | |
% 177.48/27.83 | | REDUCE: (1), (13) imply:
% 177.48/27.83 | | (14) $false
% 177.48/27.83 | |
% 177.48/27.83 | | CLOSE: (14) is inconsistent.
% 177.48/27.83 | |
% 177.48/27.83 | Case 2:
% 177.48/27.83 | |
% 177.48/27.83 | | (15) all_56_3 = e2 | all_56_3 = e1 | all_56_3 = e0
% 177.48/27.83 | |
% 177.48/27.83 | | BETA: splitting (15) gives:
% 177.48/27.83 | |
% 177.48/27.83 | | Case 1:
% 177.48/27.83 | | |
% 177.48/27.83 | | | (16) all_56_3 = e2
% 177.48/27.83 | | |
% 177.48/27.83 | | | COMBINE_EQS: (8), (16) imply:
% 177.48/27.83 | | | (17) all_52_3 = e2
% 177.48/27.83 | | |
% 177.48/27.83 | | | REDUCE: (2), (17) imply:
% 177.48/27.83 | | | (18) $false
% 177.48/27.83 | | |
% 177.48/27.83 | | | CLOSE: (18) is inconsistent.
% 177.48/27.83 | | |
% 177.48/27.83 | | Case 2:
% 177.48/27.83 | | |
% 177.48/27.83 | | | (19) all_56_3 = e1 | all_56_3 = e0
% 177.48/27.83 | | |
% 177.48/27.83 | | | BETA: splitting (19) gives:
% 177.48/27.83 | | |
% 177.48/27.83 | | | Case 1:
% 177.48/27.83 | | | |
% 177.48/27.83 | | | | (20) all_56_3 = e1
% 177.48/27.83 | | | |
% 177.48/27.83 | | | | COMBINE_EQS: (8), (20) imply:
% 177.48/27.83 | | | | (21) all_52_3 = e1
% 177.48/27.83 | | | |
% 177.48/27.83 | | | | REDUCE: (7), (21) imply:
% 177.48/27.83 | | | | (22) $false
% 177.48/27.83 | | | |
% 177.48/27.83 | | | | CLOSE: (22) is inconsistent.
% 177.48/27.83 | | | |
% 177.48/27.83 | | | Case 2:
% 177.48/27.83 | | | |
% 177.48/27.83 | | | | (23) all_56_3 = e0
% 177.48/27.83 | | | |
% 177.48/27.83 | | | | COMBINE_EQS: (8), (23) imply:
% 177.48/27.83 | | | | (24) all_52_3 = e0
% 177.48/27.83 | | | |
% 177.48/27.83 | | | | REDUCE: (11), (24) imply:
% 177.48/27.83 | | | | (25) op(e0, e0) = unit
% 177.48/27.83 | | | |
% 177.48/27.83 | | | | GROUND_INST: instantiating (3) with e1, unit, e0, e0, simplifying with
% 177.48/27.83 | | | | (10), (25) gives:
% 177.48/27.83 | | | | (26) unit = e1
% 177.48/27.83 | | | |
% 177.48/27.83 | | | | REF_CLOSE: (3), (4), (5), (9), (26) are inconsistent by sub-proof #224.
% 177.48/27.83 | | | |
% 177.48/27.83 | | | End of split
% 177.48/27.83 | | |
% 177.48/27.83 | | End of split
% 177.48/27.83 | |
% 177.48/27.83 | End of split
% 177.48/27.83 |
% 177.48/27.83 End of proof
% 177.48/27.83
% 177.48/27.83 Sub-proof #219 shows that the following formulas are inconsistent:
% 177.48/27.83 ----------------------------------------------------------------
% 177.48/27.83 (1) all_63_8 = unit
% 177.48/27.83 (2) ~ (unit = e1)
% 177.48/27.83 (3) ~ (unit = e2)
% 177.48/27.83 (4) ~ (unit = e0)
% 177.48/27.83 (5) all_63_8 = e3 | all_63_8 = e2 | all_63_8 = e1 | all_63_8 = e0
% 177.48/27.83 (6) ~ (unit = e3)
% 177.48/27.83
% 177.48/27.83 Begin of proof
% 177.48/27.83 |
% 177.48/27.83 | BETA: splitting (5) gives:
% 177.48/27.83 |
% 177.48/27.83 | Case 1:
% 177.48/27.83 | |
% 177.48/27.83 | | (7) all_63_8 = e3
% 177.48/27.83 | |
% 177.48/27.83 | | COMBINE_EQS: (1), (7) imply:
% 177.48/27.83 | | (8) unit = e3
% 177.48/27.83 | |
% 177.48/27.83 | | SIMP: (8) implies:
% 177.48/27.83 | | (9) unit = e3
% 177.48/27.83 | |
% 177.48/27.83 | | REDUCE: (6), (9) imply:
% 177.48/27.83 | | (10) $false
% 177.48/27.83 | |
% 177.48/27.83 | | CLOSE: (10) is inconsistent.
% 177.48/27.83 | |
% 177.48/27.83 | Case 2:
% 177.48/27.83 | |
% 177.48/27.83 | | (11) all_63_8 = e2 | all_63_8 = e1 | all_63_8 = e0
% 177.48/27.83 | |
% 177.48/27.83 | | BETA: splitting (11) gives:
% 177.48/27.83 | |
% 177.48/27.83 | | Case 1:
% 177.48/27.83 | | |
% 177.48/27.83 | | | (12) all_63_8 = e2
% 177.48/27.83 | | |
% 177.48/27.83 | | | COMBINE_EQS: (1), (12) imply:
% 177.48/27.83 | | | (13) unit = e2
% 177.48/27.83 | | |
% 177.48/27.83 | | | SIMP: (13) implies:
% 177.48/27.83 | | | (14) unit = e2
% 177.48/27.83 | | |
% 177.48/27.83 | | | REDUCE: (3), (14) imply:
% 177.48/27.83 | | | (15) $false
% 177.48/27.83 | | |
% 177.48/27.83 | | | CLOSE: (15) is inconsistent.
% 177.48/27.83 | | |
% 177.48/27.83 | | Case 2:
% 177.48/27.83 | | |
% 177.48/27.83 | | | (16) all_63_8 = e1 | all_63_8 = e0
% 177.48/27.83 | | |
% 177.48/27.83 | | | REF_CLOSE: (1), (2), (4), (16) are inconsistent by sub-proof #220.
% 177.48/27.83 | | |
% 177.48/27.83 | | End of split
% 177.48/27.83 | |
% 177.48/27.83 | End of split
% 177.48/27.83 |
% 177.48/27.83 End of proof
% 177.48/27.83
% 177.48/27.83 Sub-proof #220 shows that the following formulas are inconsistent:
% 177.48/27.83 ----------------------------------------------------------------
% 177.48/27.83 (1) all_63_8 = e1 | all_63_8 = e0
% 177.48/27.83 (2) all_63_8 = unit
% 177.48/27.83 (3) ~ (unit = e1)
% 177.48/27.83 (4) ~ (unit = e0)
% 177.48/27.83
% 177.48/27.83 Begin of proof
% 177.48/27.83 |
% 177.48/27.83 | BETA: splitting (1) gives:
% 177.48/27.83 |
% 177.48/27.83 | Case 1:
% 177.48/27.83 | |
% 177.48/27.83 | | (5) all_63_8 = e1
% 177.48/27.83 | |
% 177.48/27.83 | | COMBINE_EQS: (2), (5) imply:
% 177.48/27.83 | | (6) unit = e1
% 177.48/27.83 | |
% 177.48/27.83 | | SIMP: (6) implies:
% 177.48/27.83 | | (7) unit = e1
% 177.48/27.83 | |
% 177.48/27.83 | | REDUCE: (3), (7) imply:
% 177.48/27.83 | | (8) $false
% 177.48/27.83 | |
% 177.48/27.83 | | CLOSE: (8) is inconsistent.
% 177.48/27.83 | |
% 177.48/27.83 | Case 2:
% 177.48/27.83 | |
% 177.48/27.83 | | (9) all_63_8 = e0
% 177.48/27.83 | |
% 177.48/27.83 | | COMBINE_EQS: (2), (9) imply:
% 177.48/27.83 | | (10) unit = e0
% 177.48/27.83 | |
% 177.48/27.83 | | SIMP: (10) implies:
% 177.48/27.83 | | (11) unit = e0
% 177.48/27.83 | |
% 177.48/27.83 | | REDUCE: (4), (11) imply:
% 177.48/27.83 | | (12) $false
% 177.48/27.83 | |
% 177.48/27.83 | | CLOSE: (12) is inconsistent.
% 177.48/27.83 | |
% 177.48/27.83 | End of split
% 177.48/27.83 |
% 177.48/27.83 End of proof
% 177.48/27.83
% 177.48/27.83 Sub-proof #221 shows that the following formulas are inconsistent:
% 177.48/27.83 ----------------------------------------------------------------
% 177.48/27.83 (1) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 177.48/27.83 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 177.48/27.83 (2) all_18_1 = all_10_1
% 177.48/27.84 (3) ~ (all_61_8 = e2)
% 177.48/27.84 (4) op(all_10_1, e1) = e1
% 177.48/27.84 (5) all_63_2 = e3 | all_63_2 = e2 | all_63_2 = e1 | all_63_2 = e0
% 177.48/27.84 (6) op(unit, e3) = e3
% 177.48/27.84 (7) op(e0, e1) = all_61_11
% 177.48/27.84 (8) op(e2, all_52_1) = unit
% 177.48/27.84 (9) ~ (all_61_8 = all_61_11)
% 177.48/27.84 (10) unit = e2 | unit = e1 | unit = e0
% 177.48/27.84 (11) all_58_1 = all_52_1
% 177.48/27.84 (12) op(e0, e3) = all_36_1
% 177.48/27.84 (13) all_58_1 = e1
% 177.48/27.84 (14) op(e2, e1) = all_10_1
% 177.48/27.84 (15) ~ (all_10_1 = e1)
% 177.48/27.84 (16) ~ (all_61_8 = all_10_1)
% 177.48/27.84 (17) op(all_10_1, e3) = all_65_36
% 177.48/27.84 (18) ~ (all_18_1 = e0) | ( ~ (all_18_0 = e3) & op(e0, e1) = all_18_0 &
% 177.48/27.84 $i(all_18_0))
% 177.48/27.84 (19) ~ (all_61_8 = all_36_1)
% 177.48/27.84 (20) ~ (all_10_1 = e2)
% 177.48/27.84 (21) all_63_2 = all_61_8
% 177.48/27.84
% 177.48/27.84 Begin of proof
% 177.48/27.84 |
% 177.48/27.84 | COMBINE_EQS: (11), (13) imply:
% 177.48/27.84 | (22) all_52_1 = e1
% 177.48/27.84 |
% 177.48/27.84 | SIMP: (22) implies:
% 177.48/27.84 | (23) all_52_1 = e1
% 177.48/27.84 |
% 177.48/27.84 | REDUCE: (8), (23) imply:
% 177.48/27.84 | (24) op(e2, e1) = unit
% 177.48/27.84 |
% 177.48/27.84 | GROUND_INST: instantiating (1) with all_10_1, unit, e1, e2, simplifying with
% 177.48/27.84 | (14), (24) gives:
% 177.48/27.84 | (25) all_10_1 = unit
% 177.48/27.84 |
% 177.48/27.84 | COMBINE_EQS: (2), (25) imply:
% 177.48/27.84 | (26) all_18_1 = unit
% 177.48/27.84 |
% 177.48/27.84 | REDUCE: (16), (25) imply:
% 177.48/27.84 | (27) ~ (all_61_8 = unit)
% 177.48/27.84 |
% 177.48/27.84 | REDUCE: (20), (25) imply:
% 177.48/27.84 | (28) ~ (unit = e2)
% 177.48/27.84 |
% 177.48/27.84 | REDUCE: (15), (25) imply:
% 177.48/27.84 | (29) ~ (unit = e1)
% 177.48/27.84 |
% 177.48/27.84 | REDUCE: (17), (25) imply:
% 177.48/27.84 | (30) op(unit, e3) = all_65_36
% 177.48/27.84 |
% 177.48/27.84 | REDUCE: (4), (25) imply:
% 177.48/27.84 | (31) op(unit, e1) = e1
% 177.48/27.84 |
% 177.48/27.84 | BETA: splitting (10) gives:
% 177.48/27.84 |
% 177.48/27.84 | Case 1:
% 177.48/27.84 | |
% 177.48/27.84 | | (32) unit = e2
% 177.48/27.84 | |
% 177.48/27.84 | | REDUCE: (28), (32) imply:
% 177.48/27.84 | | (33) $false
% 177.48/27.84 | |
% 177.48/27.84 | | CLOSE: (33) is inconsistent.
% 177.48/27.84 | |
% 177.48/27.84 | Case 2:
% 177.48/27.84 | |
% 177.48/27.84 | | (34) unit = e1 | unit = e0
% 177.48/27.84 | |
% 177.48/27.84 | | BETA: splitting (34) gives:
% 177.48/27.84 | |
% 177.48/27.84 | | Case 1:
% 177.48/27.84 | | |
% 177.48/27.84 | | | (35) unit = e1
% 177.48/27.84 | | |
% 177.48/27.84 | | | REDUCE: (29), (35) imply:
% 177.48/27.84 | | | (36) $false
% 177.48/27.84 | | |
% 177.48/27.84 | | | CLOSE: (36) is inconsistent.
% 177.48/27.84 | | |
% 177.48/27.84 | | Case 2:
% 177.48/27.84 | | |
% 177.48/27.84 | | | (37) unit = e0
% 177.48/27.84 | | |
% 177.48/27.84 | | | COMBINE_EQS: (26), (37) imply:
% 177.48/27.84 | | | (38) all_18_1 = e0
% 177.48/27.84 | | |
% 177.48/27.84 | | | REDUCE: (27), (37) imply:
% 177.48/27.84 | | | (39) ~ (all_61_8 = e0)
% 177.48/27.84 | | |
% 177.48/27.84 | | | REDUCE: (30), (37) imply:
% 177.48/27.84 | | | (40) op(e0, e3) = all_65_36
% 177.48/27.84 | | |
% 177.48/27.84 | | | REDUCE: (6), (37) imply:
% 177.48/27.84 | | | (41) op(e0, e3) = e3
% 177.48/27.84 | | |
% 177.48/27.84 | | | REDUCE: (31), (37) imply:
% 177.48/27.84 | | | (42) op(e0, e1) = e1
% 177.48/27.84 | | |
% 177.48/27.84 | | | BETA: splitting (18) gives:
% 177.48/27.84 | | |
% 177.48/27.84 | | | Case 1:
% 177.48/27.84 | | | |
% 177.48/27.84 | | | | (43) ~ (all_18_1 = e0)
% 177.48/27.84 | | | |
% 177.48/27.84 | | | | REDUCE: (38), (43) imply:
% 177.48/27.84 | | | | (44) $false
% 177.48/27.84 | | | |
% 177.48/27.84 | | | | CLOSE: (44) is inconsistent.
% 177.48/27.84 | | | |
% 177.48/27.84 | | | Case 2:
% 177.48/27.84 | | | |
% 177.48/27.84 | | | | (45) ~ (all_18_0 = e3) & op(e0, e1) = all_18_0 & $i(all_18_0)
% 177.48/27.84 | | | |
% 177.48/27.84 | | | | ALPHA: (45) implies:
% 177.48/27.84 | | | | (46) op(e0, e1) = all_18_0
% 177.48/27.84 | | | |
% 177.48/27.84 | | | | GROUND_INST: instantiating (1) with all_61_11, e1, e1, e0, simplifying
% 177.48/27.84 | | | | with (7), (42) gives:
% 177.48/27.84 | | | | (47) all_61_11 = e1
% 177.48/27.84 | | | |
% 177.48/27.84 | | | | GROUND_INST: instantiating (1) with all_61_11, all_18_0, e1, e0,
% 177.48/27.84 | | | | simplifying with (7), (46) gives:
% 177.48/27.84 | | | | (48) all_61_11 = all_18_0
% 177.48/27.84 | | | |
% 177.48/27.84 | | | | GROUND_INST: instantiating (1) with all_36_1, all_65_36, e3, e0,
% 177.48/27.84 | | | | simplifying with (12), (40) gives:
% 177.48/27.84 | | | | (49) all_65_36 = all_36_1
% 177.48/27.84 | | | |
% 177.48/27.84 | | | | GROUND_INST: instantiating (1) with e3, all_65_36, e3, e0, simplifying
% 177.48/27.84 | | | | with (40), (41) gives:
% 177.48/27.84 | | | | (50) all_65_36 = e3
% 177.48/27.84 | | | |
% 177.48/27.84 | | | | COMBINE_EQS: (49), (50) imply:
% 177.48/27.84 | | | | (51) all_36_1 = e3
% 177.48/27.84 | | | |
% 177.48/27.84 | | | | SIMP: (51) implies:
% 177.48/27.84 | | | | (52) all_36_1 = e3
% 177.48/27.84 | | | |
% 177.48/27.84 | | | | COMBINE_EQS: (47), (48) imply:
% 177.48/27.84 | | | | (53) all_18_0 = e1
% 177.48/27.84 | | | |
% 177.48/27.84 | | | | REDUCE: (9), (47) imply:
% 177.48/27.84 | | | | (54) ~ (all_61_8 = e1)
% 177.48/27.84 | | | |
% 177.48/27.84 | | | | REDUCE: (19), (52) imply:
% 177.48/27.84 | | | | (55) ~ (all_61_8 = e3)
% 177.48/27.84 | | | |
% 177.48/27.84 | | | | REF_CLOSE: (3), (5), (21), (39), (54), (55) are inconsistent by
% 177.48/27.84 | | | | sub-proof #400.
% 177.48/27.84 | | | |
% 177.48/27.84 | | | End of split
% 177.48/27.84 | | |
% 177.48/27.84 | | End of split
% 177.48/27.84 | |
% 177.48/27.84 | End of split
% 177.48/27.84 |
% 177.48/27.84 End of proof
% 177.48/27.84
% 177.48/27.84 Sub-proof #222 shows that the following formulas are inconsistent:
% 177.48/27.84 ----------------------------------------------------------------
% 177.48/27.84 (1) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 177.48/27.84 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 177.48/27.84 (2) all_52_2 = e0
% 177.48/27.84 (3) op(e0, e1) = all_61_11
% 177.48/27.84 (4) unit = e2 | unit = e1 | unit = e0
% 177.48/27.84 (5) all_52_3 = e1
% 177.48/27.84 (6) op(e1, e0) = all_61_14
% 177.48/27.84 (7) op(unit, e0) = e0
% 177.48/27.84 (8) ~ (all_61_14 = e2)
% 177.48/27.84 (9) op(e1, all_52_2) = unit
% 177.48/27.84 (10) op(all_61_11, e0) = all_65_71
% 177.48/27.84 (11) ~ (all_61_14 = e0)
% 177.48/27.84 (12) op(e0, all_52_3) = unit
% 177.48/27.84
% 177.48/27.84 Begin of proof
% 177.48/27.84 |
% 177.48/27.84 | REDUCE: (2), (9) imply:
% 177.48/27.84 | (13) op(e1, e0) = unit
% 177.48/27.84 |
% 177.48/27.84 | REDUCE: (5), (12) imply:
% 177.48/27.84 | (14) op(e0, e1) = unit
% 177.48/27.84 |
% 177.48/27.84 | REF_CLOSE: (1), (3), (4), (6), (7), (8), (10), (11), (13), (14) are
% 177.48/27.84 | inconsistent by sub-proof #226.
% 177.48/27.84 |
% 177.48/27.84 End of proof
% 177.48/27.84
% 177.48/27.84 Sub-proof #223 shows that the following formulas are inconsistent:
% 177.48/27.84 ----------------------------------------------------------------
% 177.48/27.84 (1) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 177.48/27.84 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 177.48/27.84 (2) op(all_61_4, e2) = all_40_1
% 177.48/27.84 (3) op(e3, e2) = unit
% 177.48/27.84 (4) ~ (all_40_1 = e2)
% 177.48/27.84 (5) op(e3, e2) = all_61_4
% 177.48/27.84 (6) op(unit, e2) = e2
% 177.48/27.84
% 177.48/27.84 Begin of proof
% 177.48/27.84 |
% 177.48/27.84 | GROUND_INST: instantiating (1) with all_61_4, unit, e2, e3, simplifying with
% 177.48/27.84 | (3), (5) gives:
% 177.48/27.84 | (7) all_61_4 = unit
% 177.48/27.84 |
% 177.48/27.84 | REDUCE: (2), (7) imply:
% 177.48/27.84 | (8) op(unit, e2) = all_40_1
% 177.48/27.84 |
% 177.48/27.84 | GROUND_INST: instantiating (1) with e2, all_40_1, e2, unit, simplifying with
% 177.48/27.84 | (6), (8) gives:
% 177.48/27.84 | (9) all_40_1 = e2
% 177.48/27.84 |
% 177.48/27.84 | REDUCE: (4), (9) imply:
% 177.48/27.84 | (10) $false
% 177.48/27.84 |
% 177.48/27.84 | CLOSE: (10) is inconsistent.
% 177.48/27.84 |
% 177.48/27.84 End of proof
% 177.48/27.84
% 177.48/27.84 Sub-proof #224 shows that the following formulas are inconsistent:
% 177.48/27.84 ----------------------------------------------------------------
% 177.48/27.84 (1) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 177.48/27.84 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 177.48/27.84 (2) op(e1, e1) = e2
% 177.48/27.84 (3) ~ (e2 = e1)
% 177.48/27.84 (4) unit = e1
% 177.48/27.84 (5) op(e1, unit) = e1
% 177.48/27.84
% 177.48/27.84 Begin of proof
% 177.48/27.84 |
% 177.48/27.84 | REDUCE: (4), (5) imply:
% 177.48/27.84 | (6) op(e1, e1) = e1
% 177.48/27.84 |
% 177.48/27.84 | GROUND_INST: instantiating (1) with e2, e1, e1, e1, simplifying with (2), (6)
% 177.48/27.84 | gives:
% 177.48/27.84 | (7) e2 = e1
% 177.48/27.84 |
% 177.48/27.84 | REDUCE: (3), (7) imply:
% 177.48/27.84 | (8) $false
% 177.48/27.84 |
% 177.48/27.84 | CLOSE: (8) is inconsistent.
% 177.48/27.84 |
% 177.48/27.84 End of proof
% 177.48/27.84
% 177.48/27.84 Sub-proof #225 shows that the following formulas are inconsistent:
% 177.48/27.84 ----------------------------------------------------------------
% 177.48/27.84 (1) all_63_7 = all_61_13
% 177.48/27.84 (2) all_63_7 = e3 | all_63_7 = e2 | all_63_7 = e1 | all_63_7 = e0
% 177.48/27.84 (3) all_63_6 = all_10_1
% 177.48/27.84 (4) ~ (all_61_4 = e0)
% 177.48/27.84 (5) ~ (all_61_4 = all_61_13)
% 177.48/27.84 (6) all_63_6 = e3 | all_63_6 = e2 | all_63_6 = e1 | all_63_6 = e0
% 177.48/27.84 (7) ~ (all_61_4 = e1)
% 177.48/27.84 (8) all_63_1 = all_61_4
% 177.48/27.84 (9) ~ (all_10_1 = e0)
% 177.48/27.84 (10) ~ (all_61_13 = e1)
% 177.48/27.84 (11) ~ (all_61_4 = all_10_1)
% 177.48/27.84 (12) all_63_1 = e3 | all_63_1 = e2 | all_63_1 = e1 | all_63_1 = e0
% 177.48/27.84 (13) ~ (all_10_1 = e1)
% 177.48/27.84 (14) ~ (all_61_13 = e0)
% 177.48/27.84 (15) ~ (all_10_1 = e2)
% 177.48/27.84 (16) ~ (all_61_13 = all_10_1)
% 177.48/27.84
% 177.48/27.84 Begin of proof
% 177.48/27.84 |
% 177.48/27.84 | BETA: splitting (6) gives:
% 177.48/27.84 |
% 177.48/27.84 | Case 1:
% 177.48/27.84 | |
% 177.48/27.84 | | (17) all_63_6 = e3
% 177.48/27.84 | |
% 177.48/27.84 | | COMBINE_EQS: (3), (17) imply:
% 177.48/27.84 | | (18) all_10_1 = e3
% 177.48/27.84 | |
% 177.48/27.84 | | REDUCE: (11), (18) imply:
% 177.48/27.84 | | (19) ~ (all_61_4 = e3)
% 177.48/27.84 | |
% 177.48/27.84 | | REDUCE: (16), (18) imply:
% 177.48/27.84 | | (20) ~ (all_61_13 = e3)
% 177.48/27.84 | |
% 177.48/27.84 | | BETA: splitting (12) gives:
% 177.48/27.84 | |
% 177.48/27.84 | | Case 1:
% 177.48/27.84 | | |
% 177.48/27.84 | | | (21) all_63_1 = e3
% 177.48/27.84 | | |
% 177.48/27.84 | | | COMBINE_EQS: (8), (21) imply:
% 177.48/27.84 | | | (22) all_61_4 = e3
% 177.48/27.84 | | |
% 177.48/27.84 | | | REDUCE: (19), (22) imply:
% 177.48/27.84 | | | (23) $false
% 177.48/27.84 | | |
% 177.48/27.84 | | | CLOSE: (23) is inconsistent.
% 177.48/27.84 | | |
% 177.48/27.84 | | Case 2:
% 177.48/27.84 | | |
% 177.48/27.84 | | | (24) all_63_1 = e2 | all_63_1 = e1 | all_63_1 = e0
% 177.48/27.84 | | |
% 177.48/27.84 | | | BETA: splitting (24) gives:
% 177.48/27.84 | | |
% 177.48/27.84 | | | Case 1:
% 177.48/27.84 | | | |
% 177.48/27.84 | | | | (25) all_63_1 = e2
% 177.48/27.84 | | | |
% 177.48/27.84 | | | | COMBINE_EQS: (8), (25) imply:
% 177.48/27.84 | | | | (26) all_61_4 = e2
% 177.48/27.84 | | | |
% 177.48/27.84 | | | | REDUCE: (5), (26) imply:
% 177.48/27.84 | | | | (27) ~ (all_61_13 = e2)
% 177.48/27.84 | | | |
% 177.48/27.84 | | | | SIMP: (27) implies:
% 177.48/27.84 | | | | (28) ~ (all_61_13 = e2)
% 177.48/27.84 | | | |
% 177.48/27.84 | | | | REF_CLOSE: (1), (2), (10), (14), (20), (28) are inconsistent by
% 177.48/27.84 | | | | sub-proof #473.
% 177.48/27.84 | | | |
% 177.48/27.84 | | | Case 2:
% 177.48/27.84 | | | |
% 177.48/27.84 | | | | (29) all_63_1 = e1 | all_63_1 = e0
% 177.48/27.84 | | | |
% 177.48/27.84 | | | | REF_CLOSE: (4), (7), (8), (29) are inconsistent by sub-proof #486.
% 177.48/27.84 | | | |
% 177.48/27.84 | | | End of split
% 177.48/27.84 | | |
% 177.48/27.84 | | End of split
% 177.48/27.84 | |
% 177.48/27.84 | Case 2:
% 177.48/27.84 | |
% 177.48/27.84 | | (30) all_63_6 = e2 | all_63_6 = e1 | all_63_6 = e0
% 177.48/27.84 | |
% 177.48/27.84 | | REF_CLOSE: (3), (9), (13), (15), (30) are inconsistent by sub-proof #288.
% 177.48/27.84 | |
% 177.48/27.84 | End of split
% 177.48/27.84 |
% 177.48/27.84 End of proof
% 177.48/27.84
% 177.48/27.84 Sub-proof #226 shows that the following formulas are inconsistent:
% 177.48/27.84 ----------------------------------------------------------------
% 177.48/27.84 (1) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 177.48/27.84 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 177.48/27.84 (2) op(e0, e1) = unit
% 177.48/27.84 (3) op(e0, e1) = all_61_11
% 177.48/27.84 (4) unit = e2 | unit = e1 | unit = e0
% 177.48/27.84 (5) op(e1, e0) = all_61_14
% 177.48/27.84 (6) op(e1, e0) = unit
% 177.48/27.84 (7) op(unit, e0) = e0
% 177.48/27.84 (8) ~ (all_61_14 = e2)
% 177.48/27.84 (9) op(all_61_11, e0) = all_65_71
% 177.48/27.84 (10) ~ (all_61_14 = e0)
% 177.48/27.84
% 177.48/27.84 Begin of proof
% 177.48/27.84 |
% 177.48/27.84 | GROUND_INST: instantiating (1) with all_61_11, unit, e1, e0, simplifying with
% 177.48/27.84 | (2), (3) gives:
% 177.48/27.84 | (11) all_61_11 = unit
% 177.48/27.84 |
% 177.48/27.84 | GROUND_INST: instantiating (1) with all_61_14, unit, e0, e1, simplifying with
% 177.48/27.84 | (5), (6) gives:
% 177.48/27.84 | (12) all_61_14 = unit
% 177.48/27.84 |
% 177.48/27.84 | REDUCE: (8), (12) imply:
% 177.48/27.84 | (13) ~ (unit = e2)
% 177.48/27.84 |
% 177.48/27.84 | REDUCE: (10), (12) imply:
% 177.48/27.84 | (14) ~ (unit = e0)
% 177.48/27.84 |
% 177.48/27.84 | REDUCE: (9), (11) imply:
% 177.48/27.84 | (15) op(unit, e0) = all_65_71
% 177.48/27.84 |
% 177.48/27.84 | BETA: splitting (4) gives:
% 177.48/27.84 |
% 177.48/27.84 | Case 1:
% 177.48/27.84 | |
% 177.48/27.84 | | (16) unit = e2
% 177.48/27.84 | |
% 177.48/27.84 | | REDUCE: (13), (16) imply:
% 177.48/27.84 | | (17) $false
% 177.48/27.84 | |
% 177.48/27.84 | | CLOSE: (17) is inconsistent.
% 177.48/27.84 | |
% 177.48/27.84 | Case 2:
% 177.48/27.84 | |
% 177.48/27.84 | | (18) unit = e1 | unit = e0
% 177.48/27.84 | |
% 177.48/27.84 | | BETA: splitting (18) gives:
% 177.48/27.84 | |
% 177.48/27.84 | | Case 1:
% 177.48/27.84 | | |
% 177.48/27.84 | | | (19) unit = e1
% 177.48/27.84 | | |
% 177.48/27.84 | | | REDUCE: (14), (19) imply:
% 177.48/27.84 | | | (20) ~ (e1 = e0)
% 177.48/27.84 | | |
% 177.48/27.84 | | | REDUCE: (15), (19) imply:
% 177.48/27.84 | | | (21) op(e1, e0) = all_65_71
% 177.48/27.84 | | |
% 177.48/27.84 | | | REDUCE: (7), (19) imply:
% 177.48/27.84 | | | (22) op(e1, e0) = e0
% 177.48/27.84 | | |
% 177.48/27.84 | | | REDUCE: (6), (19) imply:
% 177.48/27.84 | | | (23) op(e1, e0) = e1
% 177.48/27.84 | | |
% 177.48/27.84 | | | GROUND_INST: instantiating (1) with e1, all_65_71, e0, e1, simplifying
% 177.48/27.84 | | | with (21), (23) gives:
% 177.48/27.84 | | | (24) all_65_71 = e1
% 177.48/27.84 | | |
% 177.48/27.84 | | | GROUND_INST: instantiating (1) with e0, all_65_71, e0, e1, simplifying
% 177.48/27.84 | | | with (21), (22) gives:
% 177.48/27.84 | | | (25) all_65_71 = e0
% 177.48/27.84 | | |
% 177.48/27.84 | | | COMBINE_EQS: (24), (25) imply:
% 177.48/27.84 | | | (26) e1 = e0
% 177.48/27.84 | | |
% 177.48/27.84 | | | SIMP: (26) implies:
% 177.48/27.84 | | | (27) e1 = e0
% 177.48/27.84 | | |
% 177.48/27.84 | | | REDUCE: (20), (27) imply:
% 177.48/27.84 | | | (28) $false
% 177.48/27.84 | | |
% 177.48/27.84 | | | CLOSE: (28) is inconsistent.
% 177.48/27.84 | | |
% 177.48/27.84 | | Case 2:
% 177.48/27.84 | | |
% 177.48/27.84 | | | (29) ~ (unit = e1)
% 177.48/27.84 | | |
% 177.48/27.84 | | | REF_CLOSE: (4), (13), (14), (29) are inconsistent by sub-proof #398.
% 177.48/27.84 | | |
% 177.48/27.84 | | End of split
% 177.48/27.84 | |
% 177.48/27.84 | End of split
% 177.48/27.84 |
% 177.48/27.84 End of proof
% 177.48/27.84
% 177.48/27.84 Sub-proof #227 shows that the following formulas are inconsistent:
% 177.48/27.84 ----------------------------------------------------------------
% 177.48/27.84 (1) all_56_2 = e3 | all_56_2 = e2 | all_56_2 = e1 | all_56_2 = e0
% 177.48/27.84 (2) all_56_2 = all_52_2
% 177.48/27.84 (3) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 177.48/27.84 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 177.48/27.84 (4) ~ (all_52_2 = e0)
% 177.48/27.84 (5) op(e2, unit) = e2
% 177.48/27.84 (6) op(e2, e2) = e1
% 177.48/27.84 (7) op(e1, e1) = e2
% 177.48/27.84 (8) ~ (all_52_2 = e3)
% 177.48/27.84 (9) ~ (all_58_2 = e2) | all_58_1 = e1
% 177.48/27.84 (10) all_58_2 = all_52_2
% 177.48/27.84 (11) all_58_1 = all_52_1
% 177.48/27.84 (12) ~ (all_52_1 = e1)
% 177.48/27.84 (13) op(e1, all_52_2) = unit
% 177.48/27.84
% 177.48/27.84 Begin of proof
% 177.48/27.84 |
% 177.48/27.84 | BETA: splitting (9) gives:
% 177.48/27.84 |
% 177.48/27.84 | Case 1:
% 177.48/27.84 | |
% 177.48/27.84 | | (14) ~ (all_58_2 = e2)
% 177.48/27.84 | |
% 177.48/27.84 | | REDUCE: (10), (14) imply:
% 177.48/27.84 | | (15) ~ (all_52_2 = e2)
% 177.48/27.84 | |
% 177.48/27.84 | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (13), (15) are
% 177.48/27.84 | | inconsistent by sub-proof #228.
% 177.48/27.84 | |
% 177.48/27.84 | Case 2:
% 177.48/27.84 | |
% 177.48/27.84 | | (16) all_58_1 = e1
% 177.48/27.84 | |
% 177.48/27.84 | | REF_CLOSE: (11), (12), (16) are inconsistent by sub-proof #424.
% 177.48/27.84 | |
% 177.48/27.84 | End of split
% 177.48/27.84 |
% 177.48/27.84 End of proof
% 177.48/27.84
% 177.48/27.84 Sub-proof #228 shows that the following formulas are inconsistent:
% 177.48/27.84 ----------------------------------------------------------------
% 177.48/27.84 (1) all_56_2 = e3 | all_56_2 = e2 | all_56_2 = e1 | all_56_2 = e0
% 177.48/27.84 (2) all_56_2 = all_52_2
% 177.48/27.84 (3) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 177.48/27.84 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 177.48/27.84 (4) ~ (all_52_2 = e0)
% 177.48/27.84 (5) op(e2, unit) = e2
% 177.48/27.84 (6) op(e2, e2) = e1
% 177.48/27.84 (7) op(e1, e1) = e2
% 177.48/27.84 (8) ~ (all_52_2 = e3)
% 177.48/27.84 (9) ~ (all_52_2 = e2)
% 177.48/27.84 (10) op(e1, all_52_2) = unit
% 177.48/27.84
% 177.48/27.84 Begin of proof
% 177.48/27.84 |
% 177.48/27.84 | BETA: splitting (1) gives:
% 177.48/27.84 |
% 177.48/27.84 | Case 1:
% 177.48/27.84 | |
% 177.48/27.84 | | (11) all_56_2 = e3
% 177.48/27.84 | |
% 177.48/27.84 | | REF_CLOSE: (2), (8), (11) are inconsistent by sub-proof #482.
% 177.48/27.84 | |
% 177.48/27.84 | Case 2:
% 177.48/27.84 | |
% 177.48/27.84 | | (12) all_56_2 = e2 | all_56_2 = e1 | all_56_2 = e0
% 177.48/27.84 | |
% 177.48/27.84 | | BETA: splitting (12) gives:
% 177.48/27.84 | |
% 177.48/27.84 | | Case 1:
% 177.48/27.84 | | |
% 177.48/27.84 | | | (13) all_56_2 = e2
% 177.48/27.84 | | |
% 177.48/27.84 | | | REF_CLOSE: (2), (9), (13) are inconsistent by sub-proof #481.
% 177.48/27.84 | | |
% 177.48/27.84 | | Case 2:
% 177.48/27.84 | | |
% 177.48/27.84 | | | (14) ~ (all_56_2 = e2)
% 177.48/27.84 | | | (15) all_56_2 = e1 | all_56_2 = e0
% 177.48/27.84 | | |
% 177.48/27.84 | | | BETA: splitting (15) gives:
% 177.48/27.84 | | |
% 177.48/27.84 | | | Case 1:
% 177.48/27.84 | | | |
% 177.48/27.84 | | | | (16) all_56_2 = e1
% 177.48/27.84 | | | |
% 177.48/27.84 | | | | COMBINE_EQS: (2), (16) imply:
% 177.48/27.84 | | | | (17) all_52_2 = e1
% 177.48/27.84 | | | |
% 177.48/27.84 | | | | SIMP: (17) implies:
% 177.48/27.84 | | | | (18) all_52_2 = e1
% 177.48/27.84 | | | |
% 177.48/27.84 | | | | REDUCE: (9), (18) imply:
% 177.48/27.84 | | | | (19) ~ (e2 = e1)
% 177.48/27.84 | | | |
% 177.48/27.84 | | | | SIMP: (19) implies:
% 177.48/27.84 | | | | (20) ~ (e2 = e1)
% 177.48/27.84 | | | |
% 177.48/27.84 | | | | REDUCE: (10), (18) imply:
% 177.48/27.84 | | | | (21) op(e1, e1) = unit
% 177.48/27.84 | | | |
% 177.48/27.84 | | | | GROUND_INST: instantiating (3) with e2, unit, e1, e1, simplifying with
% 177.48/27.84 | | | | (7), (21) gives:
% 177.48/27.84 | | | | (22) unit = e2
% 177.48/27.84 | | | |
% 177.48/27.84 | | | | REF_CLOSE: (3), (5), (6), (20), (22) are inconsistent by sub-proof #306.
% 177.48/27.84 | | | |
% 177.48/27.84 | | | Case 2:
% 177.48/27.84 | | | |
% 177.48/27.84 | | | | (23) all_56_2 = e0
% 177.48/27.84 | | | |
% 177.48/27.84 | | | | REF_CLOSE: (2), (4), (23) are inconsistent by sub-proof #480.
% 177.48/27.84 | | | |
% 177.48/27.84 | | | End of split
% 177.48/27.84 | | |
% 177.48/27.84 | | End of split
% 177.48/27.84 | |
% 177.48/27.84 | End of split
% 177.48/27.84 |
% 177.48/27.84 End of proof
% 177.48/27.84
% 177.48/27.84 Sub-proof #229 shows that the following formulas are inconsistent:
% 177.48/27.84 ----------------------------------------------------------------
% 177.48/27.84 (1) all_56_0 = e3 | all_56_0 = e2 | all_56_0 = e1 | all_56_0 = e0
% 177.48/27.84 (2) ~ (all_58_1 = e3) | all_58_0 = e2
% 177.48/27.84 (3) op(e3, all_52_0) = unit
% 177.48/27.84 (4) all_58_0 = all_52_0
% 177.48/27.84 (5) all_56_1 = e3 | all_56_1 = e2 | all_56_1 = e1 | all_56_1 = e0
% 177.48/27.84 (6) ~ (all_61_8 = e0)
% 177.48/27.84 (7) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 177.48/27.84 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 177.48/27.84 (8) all_63_1 = all_14_1
% 177.48/27.84 (9) all_63_3 = all_61_12
% 177.48/27.84 (10) ~ (all_52_0 = e1)
% 177.48/27.84 (11) ~ (all_14_1 = e2)
% 177.48/27.84 (12) ~ (all_52_0 = e0)
% 177.48/27.84 (13) ~ (all_58_0 = e2) | all_58_1 = e3
% 177.48/27.84 (14) ~ (all_61_8 = e2)
% 177.48/27.84 (15) op(e2, e2) = e0
% 177.48/27.84 (16) ~ (all_14_1 = e0)
% 177.48/27.84 (17) ~ (all_61_8 = all_14_1)
% 177.48/27.84 (18) all_63_2 = e3 | all_63_2 = e2 | all_63_2 = e1 | all_63_2 = e0
% 177.48/27.84 (19) ~ (all_61_8 = all_61_12)
% 177.48/27.84 (20) all_56_1 = all_52_1
% 177.48/27.84 (21) ~ (all_61_12 = e0)
% 177.48/27.84 (22) op(e2, all_52_1) = unit
% 177.48/27.84 (23) all_63_3 = e3 | all_63_3 = e2 | all_63_3 = e1 | all_63_3 = e0
% 177.48/27.84 (24) unit = e2 | unit = e1 | unit = e0
% 177.48/27.84 (25) op(e3, e3) = e2
% 177.48/27.84 (26) all_58_1 = all_52_1
% 177.48/27.84 (27) ~ (all_61_12 = all_14_1)
% 177.48/27.84 (28) all_63_1 = e3 | all_63_1 = e2 | all_63_1 = e1 | all_63_1 = e0
% 177.48/27.84 (29) op(e3, e2) = all_14_1
% 177.48/27.84 (30) ~ (all_52_1 = e1)
% 177.48/27.84 (31) ~ (unit = e3)
% 177.48/27.84 (32) all_56_0 = all_52_0
% 177.48/27.84 (33) ~ (all_61_12 = e2)
% 177.48/27.84 (34) ~ (all_52_1 = e0)
% 177.48/27.84 (35) all_63_2 = all_61_8
% 177.48/27.84
% 177.48/27.84 Begin of proof
% 177.48/27.84 |
% 177.48/27.84 | BETA: splitting (2) gives:
% 177.48/27.84 |
% 177.48/27.84 | Case 1:
% 177.48/27.84 | |
% 177.48/27.84 | | (36) ~ (all_58_1 = e3)
% 177.48/27.84 | |
% 177.48/27.84 | | REDUCE: (26), (36) imply:
% 177.48/27.84 | | (37) ~ (all_52_1 = e3)
% 177.48/27.84 | |
% 177.48/27.84 | | REF_CLOSE: (1), (3), (4), (5), (7), (10), (12), (13), (15), (20), (22),
% 177.48/27.84 | | (25), (26), (30), (32), (34), (37) are inconsistent by sub-proof
% 177.48/27.84 | | #337.
% 177.48/27.84 | |
% 177.48/27.84 | Case 2:
% 177.48/27.84 | |
% 177.48/27.84 | | (38) all_58_0 = e2
% 177.48/27.84 | |
% 177.48/27.84 | | COMBINE_EQS: (4), (38) imply:
% 177.48/27.84 | | (39) all_52_0 = e2
% 177.48/27.84 | |
% 177.48/27.84 | | SIMP: (39) implies:
% 177.48/27.84 | | (40) all_52_0 = e2
% 177.48/27.84 | |
% 177.48/27.84 | | REDUCE: (3), (40) imply:
% 177.48/27.84 | | (41) op(e3, e2) = unit
% 177.48/27.84 | |
% 177.48/27.84 | | GROUND_INST: instantiating (7) with all_14_1, unit, e2, e3, simplifying with
% 177.48/27.84 | | (29), (41) gives:
% 177.48/27.84 | | (42) all_14_1 = unit
% 177.48/27.84 | |
% 177.48/27.84 | | COMBINE_EQS: (8), (42) imply:
% 177.48/27.84 | | (43) all_63_1 = unit
% 177.48/27.84 | |
% 177.48/27.84 | | REDUCE: (17), (42) imply:
% 177.48/27.84 | | (44) ~ (all_61_8 = unit)
% 177.48/27.84 | |
% 177.48/27.84 | | REDUCE: (27), (42) imply:
% 177.48/27.84 | | (45) ~ (all_61_12 = unit)
% 177.48/27.84 | |
% 177.48/27.84 | | REDUCE: (11), (42) imply:
% 177.48/27.84 | | (46) ~ (unit = e2)
% 177.48/27.84 | |
% 177.48/27.84 | | REDUCE: (16), (42) imply:
% 177.48/27.84 | | (47) ~ (unit = e0)
% 177.48/27.84 | |
% 177.48/27.84 | | BETA: splitting (24) gives:
% 177.48/27.84 | |
% 177.48/27.84 | | Case 1:
% 177.48/27.84 | | |
% 177.48/27.84 | | | (48) unit = e2
% 177.48/27.84 | | |
% 177.48/27.84 | | | REDUCE: (46), (48) imply:
% 177.48/27.84 | | | (49) $false
% 177.48/27.84 | | |
% 177.48/27.84 | | | CLOSE: (49) is inconsistent.
% 177.48/27.84 | | |
% 177.48/27.84 | | Case 2:
% 177.48/27.84 | | |
% 177.48/27.84 | | | (50) unit = e1 | unit = e0
% 177.48/27.84 | | |
% 177.48/27.84 | | | BETA: splitting (50) gives:
% 177.48/27.84 | | |
% 177.48/27.84 | | | Case 1:
% 177.48/27.84 | | | |
% 177.48/27.84 | | | | (51) unit = e1
% 177.48/27.84 | | | |
% 177.48/27.84 | | | | REDUCE: (44), (51) imply:
% 177.48/27.84 | | | | (52) ~ (all_61_8 = e1)
% 177.48/27.84 | | | |
% 177.48/27.84 | | | | REDUCE: (45), (51) imply:
% 177.48/27.84 | | | | (53) ~ (all_61_12 = e1)
% 177.48/27.84 | | | |
% 177.48/27.84 | | | | REF_CLOSE: (6), (9), (14), (18), (19), (21), (23), (33), (35), (52),
% 177.48/27.84 | | | | (53) are inconsistent by sub-proof #232.
% 177.48/27.84 | | | |
% 177.48/27.84 | | | Case 2:
% 177.48/27.84 | | | |
% 177.48/27.84 | | | | (54) ~ (unit = e1)
% 177.48/27.84 | | | |
% 177.48/27.84 | | | | REF_CLOSE: (28), (31), (43), (46), (47), (54) are inconsistent by
% 177.48/27.84 | | | | sub-proof #230.
% 177.48/27.84 | | | |
% 177.48/27.84 | | | End of split
% 177.48/27.84 | | |
% 177.48/27.84 | | End of split
% 177.48/27.84 | |
% 177.48/27.84 | End of split
% 177.48/27.84 |
% 177.48/27.84 End of proof
% 177.48/27.84
% 177.48/27.84 Sub-proof #230 shows that the following formulas are inconsistent:
% 177.48/27.84 ----------------------------------------------------------------
% 177.48/27.84 (1) ~ (unit = e1)
% 177.48/27.84 (2) ~ (unit = e2)
% 177.48/27.84 (3) ~ (unit = e0)
% 177.48/27.84 (4) all_63_1 = unit
% 177.48/27.84 (5) all_63_1 = e3 | all_63_1 = e2 | all_63_1 = e1 | all_63_1 = e0
% 177.48/27.84 (6) ~ (unit = e3)
% 177.48/27.84
% 177.48/27.84 Begin of proof
% 177.48/27.84 |
% 177.48/27.84 | BETA: splitting (5) gives:
% 177.48/27.84 |
% 177.48/27.84 | Case 1:
% 177.48/27.84 | |
% 177.48/27.84 | | (7) all_63_1 = e3
% 177.48/27.84 | |
% 177.48/27.84 | | COMBINE_EQS: (4), (7) imply:
% 177.48/27.84 | | (8) unit = e3
% 177.48/27.84 | |
% 177.48/27.84 | | REDUCE: (6), (8) imply:
% 177.48/27.84 | | (9) $false
% 177.48/27.84 | |
% 177.48/27.84 | | CLOSE: (9) is inconsistent.
% 177.48/27.84 | |
% 177.48/27.84 | Case 2:
% 177.48/27.84 | |
% 177.48/27.84 | | (10) all_63_1 = e2 | all_63_1 = e1 | all_63_1 = e0
% 177.48/27.84 | |
% 177.48/27.84 | | BETA: splitting (10) gives:
% 177.48/27.84 | |
% 177.48/27.84 | | Case 1:
% 177.48/27.84 | | |
% 177.48/27.84 | | | (11) all_63_1 = e2
% 177.48/27.84 | | |
% 177.48/27.84 | | | COMBINE_EQS: (4), (11) imply:
% 177.48/27.84 | | | (12) unit = e2
% 177.48/27.84 | | |
% 177.48/27.84 | | | REDUCE: (2), (12) imply:
% 177.48/27.84 | | | (13) $false
% 177.48/27.84 | | |
% 177.48/27.84 | | | CLOSE: (13) is inconsistent.
% 177.48/27.84 | | |
% 177.48/27.84 | | Case 2:
% 177.48/27.84 | | |
% 177.48/27.84 | | | (14) all_63_1 = e1 | all_63_1 = e0
% 177.48/27.84 | | |
% 177.48/27.84 | | | REF_CLOSE: (1), (3), (4), (14) are inconsistent by sub-proof #231.
% 177.48/27.84 | | |
% 177.48/27.84 | | End of split
% 177.48/27.84 | |
% 177.48/27.84 | End of split
% 177.48/27.84 |
% 177.48/27.84 End of proof
% 177.48/27.84
% 177.48/27.84 Sub-proof #231 shows that the following formulas are inconsistent:
% 177.48/27.84 ----------------------------------------------------------------
% 177.48/27.84 (1) all_63_1 = e1 | all_63_1 = e0
% 177.48/27.84 (2) all_63_1 = unit
% 177.48/27.84 (3) ~ (unit = e1)
% 177.48/27.84 (4) ~ (unit = e0)
% 177.48/27.84
% 177.48/27.84 Begin of proof
% 177.48/27.84 |
% 177.48/27.84 | BETA: splitting (1) gives:
% 177.48/27.84 |
% 177.48/27.84 | Case 1:
% 177.48/27.84 | |
% 177.48/27.84 | | (5) all_63_1 = e1
% 177.48/27.84 | |
% 177.48/27.84 | | COMBINE_EQS: (2), (5) imply:
% 177.48/27.84 | | (6) unit = e1
% 177.48/27.84 | |
% 177.48/27.84 | | REDUCE: (3), (6) imply:
% 177.48/27.84 | | (7) $false
% 177.48/27.84 | |
% 177.48/27.84 | | CLOSE: (7) is inconsistent.
% 177.48/27.84 | |
% 177.48/27.84 | Case 2:
% 177.48/27.84 | |
% 177.48/27.84 | | (8) all_63_1 = e0
% 177.48/27.84 | |
% 177.48/27.84 | | COMBINE_EQS: (2), (8) imply:
% 177.48/27.84 | | (9) unit = e0
% 177.48/27.84 | |
% 177.48/27.84 | | REDUCE: (4), (9) imply:
% 177.48/27.84 | | (10) $false
% 177.48/27.84 | |
% 177.48/27.84 | | CLOSE: (10) is inconsistent.
% 177.48/27.84 | |
% 177.48/27.84 | End of split
% 177.48/27.84 |
% 177.48/27.84 End of proof
% 177.48/27.84
% 177.48/27.84 Sub-proof #232 shows that the following formulas are inconsistent:
% 177.48/27.84 ----------------------------------------------------------------
% 177.48/27.84 (1) ~ (all_61_8 = e0)
% 177.48/27.84 (2) all_63_3 = all_61_12
% 177.48/27.84 (3) ~ (all_61_8 = e2)
% 177.48/27.84 (4) all_63_2 = e3 | all_63_2 = e2 | all_63_2 = e1 | all_63_2 = e0
% 177.48/27.84 (5) ~ (all_61_8 = all_61_12)
% 177.48/27.84 (6) ~ (all_61_12 = e0)
% 177.48/27.84 (7) all_63_3 = e3 | all_63_3 = e2 | all_63_3 = e1 | all_63_3 = e0
% 177.48/27.84 (8) ~ (all_61_12 = e1)
% 177.48/27.84 (9) ~ (all_61_12 = e2)
% 177.48/27.84 (10) ~ (all_61_8 = e1)
% 177.48/27.84 (11) all_63_2 = all_61_8
% 177.48/27.84
% 177.48/27.84 Begin of proof
% 177.48/27.84 |
% 177.48/27.84 | BETA: splitting (7) gives:
% 177.48/27.84 |
% 177.48/27.84 | Case 1:
% 177.48/27.84 | |
% 177.48/27.84 | | (12) all_63_3 = e3
% 177.48/27.84 | |
% 177.48/27.84 | | COMBINE_EQS: (2), (12) imply:
% 177.48/27.84 | | (13) all_61_12 = e3
% 177.48/27.84 | |
% 177.48/27.84 | | REDUCE: (5), (13) imply:
% 177.48/27.84 | | (14) ~ (all_61_8 = e3)
% 177.48/27.84 | |
% 177.48/27.84 | | REF_CLOSE: (1), (3), (4), (10), (11), (14) are inconsistent by sub-proof
% 177.48/27.84 | | #400.
% 177.48/27.84 | |
% 177.48/27.84 | Case 2:
% 177.48/27.84 | |
% 177.48/27.84 | | (15) all_63_3 = e2 | all_63_3 = e1 | all_63_3 = e0
% 177.48/27.84 | |
% 177.48/27.84 | | REF_CLOSE: (2), (6), (8), (9), (15) are inconsistent by sub-proof #489.
% 177.48/27.84 | |
% 177.48/27.84 | End of split
% 177.48/27.84 |
% 177.48/27.84 End of proof
% 177.48/27.84
% 177.48/27.84 Sub-proof #233 shows that the following formulas are inconsistent:
% 177.48/27.84 ----------------------------------------------------------------
% 177.48/27.84 (1) all_63_12 = all_61_12
% 177.48/27.84 (2) ~ (all_61_12 = e0)
% 177.48/27.85 (3) ~ (all_61_12 = e1)
% 177.48/27.85 (4) ~ (all_61_12 = e2)
% 177.48/27.85 (5) all_63_12 = e2 | all_63_12 = e1 | all_63_12 = e0
% 177.48/27.85
% 177.48/27.85 Begin of proof
% 177.48/27.85 |
% 177.48/27.85 | BETA: splitting (5) gives:
% 177.48/27.85 |
% 177.48/27.85 | Case 1:
% 177.48/27.85 | |
% 177.48/27.85 | | (6) all_63_12 = e2
% 177.48/27.85 | |
% 177.48/27.85 | | REF_CLOSE: (1), (4), (6) are inconsistent by sub-proof #234.
% 177.48/27.85 | |
% 177.48/27.85 | Case 2:
% 177.48/27.85 | |
% 177.48/27.85 | | (7) all_63_12 = e1 | all_63_12 = e0
% 177.48/27.85 | |
% 177.48/27.85 | | REF_CLOSE: (1), (2), (3), (7) are inconsistent by sub-proof #357.
% 177.48/27.85 | |
% 177.48/27.85 | End of split
% 177.48/27.85 |
% 177.48/27.85 End of proof
% 177.48/27.85
% 177.48/27.85 Sub-proof #234 shows that the following formulas are inconsistent:
% 177.48/27.85 ----------------------------------------------------------------
% 177.48/27.85 (1) all_63_12 = all_61_12
% 177.48/27.85 (2) all_63_12 = e2
% 177.48/27.85 (3) ~ (all_61_12 = e2)
% 177.48/27.85
% 177.48/27.85 Begin of proof
% 177.48/27.85 |
% 177.48/27.85 | COMBINE_EQS: (1), (2) imply:
% 177.48/27.85 | (4) all_61_12 = e2
% 177.48/27.85 |
% 177.48/27.85 | SIMP: (4) implies:
% 177.48/27.85 | (5) all_61_12 = e2
% 177.48/27.85 |
% 177.48/27.85 | REDUCE: (3), (5) imply:
% 177.48/27.85 | (6) $false
% 177.48/27.85 |
% 177.48/27.85 | CLOSE: (6) is inconsistent.
% 177.48/27.85 |
% 177.48/27.85 End of proof
% 177.48/27.85
% 177.48/27.85 Sub-proof #235 shows that the following formulas are inconsistent:
% 177.48/27.85 ----------------------------------------------------------------
% 177.48/27.85 (1) op(e1, e3) = all_26_0
% 177.48/27.85 (2) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 177.48/27.85 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 177.48/27.85 (3) op(e0, e0) = all_65_65
% 177.48/27.85 (4) all_63_6 = all_10_1
% 177.48/27.85 (5) op(e1, e3) = all_65_65
% 177.48/27.85 (6) op(e3, e1) = all_65_53
% 177.48/27.85 (7) all_63_6 = e3 | all_63_6 = e2 | all_63_6 = e1 | all_63_6 = e0
% 177.48/27.85 (8) ~ (all_10_1 = e0)
% 177.48/27.85 (9) op(e0, e0) = all_65_53
% 177.48/27.85 (10) ~ (all_10_1 = e1)
% 177.48/27.85 (11) op(e1, e3) = e0
% 177.48/27.85 (12) ~ (all_10_1 = e3) | ( ~ (all_10_0 = e0) & op(e3, e1) = all_10_0 &
% 177.48/27.85 $i(all_10_0))
% 177.48/27.85 (13) ~ (all_10_1 = e2)
% 177.48/27.85
% 177.48/27.85 Begin of proof
% 177.48/27.85 |
% 177.48/27.85 | BETA: splitting (7) gives:
% 177.48/27.85 |
% 177.48/27.85 | Case 1:
% 177.48/27.85 | |
% 177.48/27.85 | | (14) all_63_6 = e3
% 177.48/27.85 | |
% 177.48/27.85 | | COMBINE_EQS: (4), (14) imply:
% 177.48/27.85 | | (15) all_10_1 = e3
% 177.48/27.85 | |
% 177.48/27.85 | | SIMP: (15) implies:
% 177.48/27.85 | | (16) all_10_1 = e3
% 177.48/27.85 | |
% 177.48/27.85 | | BETA: splitting (12) gives:
% 177.48/27.85 | |
% 177.48/27.85 | | Case 1:
% 177.48/27.85 | | |
% 177.48/27.85 | | | (17) ~ (all_10_1 = e3)
% 177.48/27.85 | | |
% 177.48/27.85 | | | REDUCE: (16), (17) imply:
% 177.48/27.85 | | | (18) $false
% 177.48/27.85 | | |
% 177.48/27.85 | | | CLOSE: (18) is inconsistent.
% 177.48/27.85 | | |
% 177.48/27.85 | | Case 2:
% 177.48/27.85 | | |
% 177.48/27.85 | | | (19) ~ (all_10_0 = e0) & op(e3, e1) = all_10_0 & $i(all_10_0)
% 177.48/27.85 | | |
% 177.48/27.85 | | | ALPHA: (19) implies:
% 177.48/27.85 | | | (20) ~ (all_10_0 = e0)
% 177.48/27.85 | | | (21) op(e3, e1) = all_10_0
% 177.48/27.85 | | |
% 177.48/27.85 | | | GROUND_INST: instantiating (2) with all_65_65, all_65_53, e0, e0,
% 177.48/27.85 | | | simplifying with (3), (9) gives:
% 177.48/27.85 | | | (22) all_65_53 = all_65_65
% 177.48/27.85 | | |
% 177.48/27.85 | | | GROUND_INST: instantiating (2) with all_26_0, all_65_65, e3, e1,
% 177.48/27.85 | | | simplifying with (1), (5) gives:
% 177.48/27.85 | | | (23) all_65_65 = all_26_0
% 177.48/27.85 | | |
% 177.48/27.85 | | | GROUND_INST: instantiating (2) with e0, all_65_65, e3, e1, simplifying
% 177.48/27.85 | | | with (5), (11) gives:
% 177.48/27.85 | | | (24) all_65_65 = e0
% 177.48/27.85 | | |
% 177.48/27.85 | | | GROUND_INST: instantiating (2) with all_10_0, all_65_53, e1, e3,
% 177.48/27.85 | | | simplifying with (6), (21) gives:
% 177.48/27.85 | | | (25) all_65_53 = all_10_0
% 177.48/27.85 | | |
% 177.48/27.85 | | | COMBINE_EQS: (22), (25) imply:
% 177.48/27.85 | | | (26) all_65_65 = all_10_0
% 177.48/27.85 | | |
% 177.48/27.85 | | | SIMP: (26) implies:
% 177.48/27.85 | | | (27) all_65_65 = all_10_0
% 177.48/27.85 | | |
% 177.48/27.85 | | | COMBINE_EQS: (23), (27) imply:
% 177.48/27.85 | | | (28) all_26_0 = all_10_0
% 177.48/27.85 | | |
% 177.48/27.85 | | | COMBINE_EQS: (23), (24) imply:
% 177.48/27.85 | | | (29) all_26_0 = e0
% 177.48/27.85 | | |
% 177.48/27.85 | | | COMBINE_EQS: (28), (29) imply:
% 177.48/27.85 | | | (30) all_10_0 = e0
% 177.48/27.85 | | |
% 177.48/27.85 | | | SIMP: (30) implies:
% 177.48/27.85 | | | (31) all_10_0 = e0
% 177.48/27.85 | | |
% 177.48/27.85 | | | REDUCE: (20), (31) imply:
% 177.48/27.85 | | | (32) $false
% 177.48/27.85 | | |
% 177.48/27.85 | | | CLOSE: (32) is inconsistent.
% 177.48/27.85 | | |
% 177.48/27.85 | | End of split
% 177.48/27.85 | |
% 177.48/27.85 | Case 2:
% 177.48/27.85 | |
% 177.48/27.85 | | (33) all_63_6 = e2 | all_63_6 = e1 | all_63_6 = e0
% 177.48/27.85 | |
% 177.48/27.85 | | REF_CLOSE: (4), (8), (10), (13), (33) are inconsistent by sub-proof #288.
% 177.48/27.85 | |
% 177.48/27.85 | End of split
% 177.48/27.85 |
% 177.48/27.85 End of proof
% 177.48/27.85
% 177.48/27.85 Sub-proof #236 shows that the following formulas are inconsistent:
% 177.48/27.85 ----------------------------------------------------------------
% 177.48/27.85 (1) all_14_1 = e1
% 177.48/27.85 (2) ~ (all_28_1 = unit)
% 177.48/27.85 (3) ~ (all_28_1 = e2)
% 177.48/27.85 (4) all_63_3 = e3 | all_63_3 = e2 | all_63_3 = e1 | all_63_3 = e0
% 177.48/27.85 (5) ~ (unit = e2)
% 177.48/27.85 (6) unit = e2 | unit = e1 | unit = e0
% 177.48/27.85 (7) ~ (all_28_1 = all_14_1)
% 177.48/27.85 (8) all_63_3 = all_28_1
% 177.48/27.85 (9) ~ (all_28_1 = e3)
% 177.48/27.85 (10) ~ (all_14_1 = unit)
% 177.48/27.85
% 177.48/27.85 Begin of proof
% 177.48/27.85 |
% 177.48/27.85 | REDUCE: (1), (7) imply:
% 177.48/27.85 | (11) ~ (all_28_1 = e1)
% 177.48/27.85 |
% 177.48/27.85 | REDUCE: (1), (10) imply:
% 177.48/27.85 | (12) ~ (unit = e1)
% 177.48/27.85 |
% 177.48/27.85 | SIMP: (12) implies:
% 177.48/27.85 | (13) ~ (unit = e1)
% 177.48/27.85 |
% 177.48/27.85 | REF_CLOSE: (2), (3), (4), (5), (6), (8), (9), (11), (13) are inconsistent by
% 177.48/27.85 | sub-proof #315.
% 177.48/27.85 |
% 177.48/27.85 End of proof
% 177.48/27.85
% 177.48/27.85 Sub-proof #237 shows that the following formulas are inconsistent:
% 177.48/27.85 ----------------------------------------------------------------
% 177.48/27.85 (1) op(all_61_11, e1) = all_61_13
% 177.48/27.85 (2) all_58_3 = e1
% 177.48/27.85 (3) op(all_61_14, e1) = all_65_46
% 177.48/27.85 (4) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 177.48/27.85 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 177.48/27.85 (5) all_52_2 = e0
% 177.48/27.85 (6) ~ (all_61_14 = all_28_1)
% 177.48/27.85 (7) ~ (all_61_13 = all_61_14)
% 177.48/27.85 (8) ~ (all_28_1 = e2)
% 177.48/27.85 (9) op(unit, e1) = e1
% 177.48/27.85 (10) op(e0, e1) = all_61_11
% 177.48/27.85 (11) all_58_3 = all_52_3
% 177.48/27.85 (12) all_63_3 = e3 | all_63_3 = e2 | all_63_3 = e1 | all_63_3 = e0
% 177.48/27.85 (13) unit = e2 | unit = e1 | unit = e0
% 177.48/27.85 (14) op(e1, e0) = all_61_14
% 177.48/27.85 (15) all_63_3 = all_28_1
% 177.48/27.85 (16) ~ (all_61_14 = e2)
% 177.48/27.85 (17) op(e1, all_52_2) = unit
% 177.48/27.85 (18) ~ (all_28_1 = e3)
% 177.48/27.85 (19) ~ (all_61_13 = all_28_1)
% 177.48/27.85 (20) op(e0, all_52_3) = unit
% 177.48/27.85
% 177.48/27.85 Begin of proof
% 177.48/27.85 |
% 177.48/27.85 | COMBINE_EQS: (2), (11) imply:
% 177.48/27.85 | (21) all_52_3 = e1
% 177.48/27.85 |
% 177.48/27.85 | REDUCE: (5), (17) imply:
% 177.48/27.85 | (22) op(e1, e0) = unit
% 177.48/27.85 |
% 177.48/27.85 | REDUCE: (20), (21) imply:
% 177.48/27.85 | (23) op(e0, e1) = unit
% 177.48/27.85 |
% 177.48/27.85 | GROUND_INST: instantiating (4) with all_61_11, unit, e1, e0, simplifying with
% 177.48/27.85 | (10), (23) gives:
% 177.48/27.85 | (24) all_61_11 = unit
% 177.48/27.85 |
% 177.48/27.85 | GROUND_INST: instantiating (4) with all_61_14, unit, e0, e1, simplifying with
% 177.48/27.85 | (14), (22) gives:
% 177.48/27.85 | (25) all_61_14 = unit
% 177.48/27.85 |
% 177.48/27.85 | REDUCE: (7), (25) imply:
% 177.48/27.85 | (26) ~ (all_61_13 = unit)
% 177.48/27.85 |
% 177.48/27.85 | REDUCE: (6), (25) imply:
% 177.48/27.85 | (27) ~ (all_28_1 = unit)
% 177.48/27.85 |
% 177.48/27.85 | SIMP: (27) implies:
% 177.48/27.85 | (28) ~ (all_28_1 = unit)
% 177.48/27.85 |
% 177.48/27.85 | REDUCE: (16), (25) imply:
% 177.48/27.85 | (29) ~ (unit = e2)
% 177.48/27.85 |
% 177.48/27.85 | REDUCE: (1), (24) imply:
% 177.48/27.85 | (30) op(unit, e1) = all_61_13
% 177.48/27.85 |
% 177.48/27.85 | REDUCE: (3), (25) imply:
% 177.48/27.85 | (31) op(unit, e1) = all_65_46
% 177.48/27.85 |
% 177.48/27.85 | GROUND_INST: instantiating (4) with e1, all_65_46, e1, unit, simplifying with
% 177.48/27.85 | (9), (31) gives:
% 177.48/27.85 | (32) all_65_46 = e1
% 177.48/27.85 |
% 177.48/27.85 | GROUND_INST: instantiating (4) with all_61_13, all_65_46, e1, unit,
% 177.48/27.85 | simplifying with (30), (31) gives:
% 177.48/27.85 | (33) all_65_46 = all_61_13
% 177.48/27.85 |
% 177.48/27.85 | COMBINE_EQS: (32), (33) imply:
% 177.48/27.85 | (34) all_61_13 = e1
% 177.48/27.85 |
% 177.48/27.85 | REDUCE: (19), (34) imply:
% 177.48/27.85 | (35) ~ (all_28_1 = e1)
% 177.48/27.85 |
% 177.48/27.85 | SIMP: (35) implies:
% 177.48/27.85 | (36) ~ (all_28_1 = e1)
% 177.48/27.85 |
% 177.48/27.85 | REDUCE: (26), (34) imply:
% 177.48/27.85 | (37) ~ (unit = e1)
% 177.48/27.85 |
% 177.48/27.85 | SIMP: (37) implies:
% 177.48/27.85 | (38) ~ (unit = e1)
% 177.48/27.85 |
% 177.48/27.85 | REF_CLOSE: (8), (12), (13), (15), (18), (28), (29), (36), (38) are
% 177.48/27.85 | inconsistent by sub-proof #315.
% 177.48/27.85 |
% 177.48/27.85 End of proof
% 177.48/27.85
% 177.48/27.85 Sub-proof #238 shows that the following formulas are inconsistent:
% 177.48/27.85 ----------------------------------------------------------------
% 177.48/27.85 (1) ~ (all_61_11 = all_61_13)
% 177.48/27.85 (2) ~ (all_61_11 = all_10_1)
% 177.48/27.85 (3) all_56_2 = e3 | all_56_2 = e2 | all_56_2 = e1 | all_56_2 = e0
% 177.48/27.85 (4) all_56_2 = all_52_2
% 177.48/27.85 (5) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 177.48/27.85 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 177.48/27.85 (6) ~ (all_52_2 = e0)
% 177.48/27.85 (7) ~ (all_61_11 = e2)
% 177.48/27.85 (8) op(e1, e1) = e2
% 177.48/27.85 (9) ~ (all_52_2 = e3)
% 177.48/27.85 (10) all_63_14 = all_61_11
% 177.48/27.85 (11) op(unit, e1) = e1
% 177.48/27.85 (12) ~ (all_61_11 = e3)
% 177.48/27.85 (13) ~ (all_52_2 = e2)
% 177.48/27.85 (14) op(e2, e0) = all_61_13
% 177.48/27.85 (15) op(e2, e1) = all_10_1
% 177.48/27.85 (16) all_63_14 = e3 | all_63_14 = e2 | all_63_14 = e1 | all_63_14 = e0
% 177.48/27.85 (17) op(unit, e0) = e0
% 177.48/27.85 (18) op(e1, all_52_2) = unit
% 177.48/27.85
% 177.48/27.85 Begin of proof
% 177.48/27.85 |
% 177.48/27.85 | BETA: splitting (3) gives:
% 177.48/27.85 |
% 177.48/27.85 | Case 1:
% 177.48/27.85 | |
% 177.48/27.85 | | (19) all_56_2 = e3
% 177.48/27.85 | |
% 177.48/27.85 | | REF_CLOSE: (4), (9), (19) are inconsistent by sub-proof #482.
% 177.48/27.85 | |
% 177.48/27.85 | Case 2:
% 177.48/27.85 | |
% 177.48/27.85 | | (20) all_56_2 = e2 | all_56_2 = e1 | all_56_2 = e0
% 177.48/27.85 | |
% 177.48/27.85 | | BETA: splitting (20) gives:
% 177.48/27.85 | |
% 177.48/27.85 | | Case 1:
% 177.48/27.85 | | |
% 177.48/27.85 | | | (21) all_56_2 = e2
% 177.48/27.85 | | |
% 177.48/27.85 | | | REF_CLOSE: (4), (13), (21) are inconsistent by sub-proof #481.
% 177.48/27.85 | | |
% 177.48/27.85 | | Case 2:
% 177.48/27.85 | | |
% 177.48/27.85 | | | (22) all_56_2 = e1 | all_56_2 = e0
% 177.48/27.85 | | |
% 177.48/27.85 | | | BETA: splitting (22) gives:
% 177.48/27.85 | | |
% 177.48/27.85 | | | Case 1:
% 177.48/27.85 | | | |
% 177.48/27.85 | | | | (23) all_56_2 = e1
% 177.48/27.85 | | | |
% 177.48/27.85 | | | | COMBINE_EQS: (4), (23) imply:
% 177.48/27.85 | | | | (24) all_52_2 = e1
% 177.48/27.85 | | | |
% 177.48/27.85 | | | | SIMP: (24) implies:
% 177.48/27.85 | | | | (25) all_52_2 = e1
% 177.48/27.85 | | | |
% 177.48/27.85 | | | | REDUCE: (18), (25) imply:
% 177.48/27.85 | | | | (26) op(e1, e1) = unit
% 177.48/27.85 | | | |
% 177.48/27.85 | | | | GROUND_INST: instantiating (5) with e2, unit, e1, e1, simplifying with
% 177.48/27.85 | | | | (8), (26) gives:
% 177.48/27.85 | | | | (27) unit = e2
% 177.48/27.85 | | | |
% 177.48/27.85 | | | | REDUCE: (11), (27) imply:
% 177.48/27.85 | | | | (28) op(e2, e1) = e1
% 177.48/27.85 | | | |
% 177.48/27.85 | | | | REDUCE: (17), (27) imply:
% 177.48/27.85 | | | | (29) op(e2, e0) = e0
% 177.48/27.85 | | | |
% 177.48/27.85 | | | | GROUND_INST: instantiating (5) with all_61_13, e0, e0, e2, simplifying
% 177.48/27.85 | | | | with (14), (29) gives:
% 177.48/27.85 | | | | (30) all_61_13 = e0
% 177.48/27.85 | | | |
% 177.48/27.85 | | | | GROUND_INST: instantiating (5) with all_10_1, e1, e1, e2, simplifying
% 177.48/27.85 | | | | with (15), (28) gives:
% 177.48/27.85 | | | | (31) all_10_1 = e1
% 177.48/27.85 | | | |
% 177.48/27.85 | | | | REDUCE: (1), (30) imply:
% 177.48/27.85 | | | | (32) ~ (all_61_11 = e0)
% 177.48/27.85 | | | |
% 177.48/27.85 | | | | REDUCE: (2), (31) imply:
% 177.48/27.85 | | | | (33) ~ (all_61_11 = e1)
% 177.48/27.85 | | | |
% 177.48/27.85 | | | | REF_CLOSE: (7), (10), (12), (16), (32), (33) are inconsistent by
% 177.48/27.85 | | | | sub-proof #343.
% 177.48/27.85 | | | |
% 177.48/27.85 | | | Case 2:
% 177.48/27.85 | | | |
% 177.48/27.85 | | | | (34) all_56_2 = e0
% 177.48/27.85 | | | |
% 177.48/27.85 | | | | REF_CLOSE: (4), (6), (34) are inconsistent by sub-proof #480.
% 177.48/27.85 | | | |
% 177.48/27.85 | | | End of split
% 177.48/27.85 | | |
% 177.48/27.85 | | End of split
% 177.48/27.85 | |
% 177.48/27.85 | End of split
% 177.48/27.85 |
% 177.48/27.85 End of proof
% 177.48/27.85
% 177.48/27.85 Sub-proof #239 shows that the following formulas are inconsistent:
% 177.48/27.85 ----------------------------------------------------------------
% 177.48/27.85 (1) op(all_61_7, e2) = all_61_7
% 177.48/27.85 (2) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 177.48/27.85 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 177.48/27.85 (3) all_58_1 = e0
% 177.48/27.85 (4) ~ (all_61_13 = e2)
% 177.48/27.85 (5) op(e0, e2) = all_61_7
% 177.48/27.85 (6) all_58_3 = all_52_3
% 177.48/27.85 (7) op(e2, all_52_1) = unit
% 177.48/27.85 (8) op(e2, e0) = all_61_13
% 177.48/27.85 (9) all_58_1 = all_52_1
% 177.48/27.85 (10) all_58_3 = e2
% 177.48/27.85 (11) op(all_61_13, e2) = all_65_29
% 177.48/27.85 (12) op(e0, all_52_3) = unit
% 177.48/27.85 (13) op(unit, e2) = e2
% 177.48/27.85
% 177.48/27.85 Begin of proof
% 177.48/27.85 |
% 177.48/27.85 | COMBINE_EQS: (3), (9) imply:
% 177.48/27.85 | (14) all_52_1 = e0
% 177.48/27.85 |
% 177.48/27.85 | COMBINE_EQS: (6), (10) imply:
% 177.48/27.85 | (15) all_52_3 = e2
% 177.48/27.85 |
% 177.48/27.85 | SIMP: (15) implies:
% 177.48/27.85 | (16) all_52_3 = e2
% 177.48/27.85 |
% 177.48/27.85 | REF_CLOSE: (1), (2), (4), (5), (7), (8), (11), (12), (13), (14), (16) are
% 177.48/27.85 | inconsistent by sub-proof #457.
% 177.48/27.85 |
% 177.48/27.85 End of proof
% 177.48/27.85
% 177.48/27.85 Sub-proof #240 shows that the following formulas are inconsistent:
% 177.48/27.85 ----------------------------------------------------------------
% 177.48/27.85 (1) all_56_2 = e3 | all_56_2 = e2 | all_56_2 = e1 | all_56_2 = e0
% 177.48/27.85 (2) all_56_2 = all_52_2
% 177.48/27.85 (3) ~ (all_52_3 = e3)
% 177.48/27.85 (4) ~ (all_52_3 = e2)
% 177.48/27.85 (5) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 177.48/27.85 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 177.48/27.85 (6) ~ (all_52_2 = e0)
% 177.48/27.85 (7) op(e1, e1) = e2
% 177.48/27.85 (8) ~ (all_58_3 = e1) | all_58_2 = e0
% 177.48/27.85 (9) ~ (all_52_2 = e3)
% 177.48/27.85 (10) op(e0, e0) = e0
% 177.48/27.85 (11) all_56_3 = e3 | all_56_3 = e2 | all_56_3 = e1 | all_56_3 = e0
% 177.48/27.85 (12) all_58_3 = all_52_3
% 177.48/27.85 (13) ~ (all_52_2 = e2)
% 177.48/27.85 (14) all_58_2 = all_52_2
% 177.48/27.85 (15) all_56_3 = all_52_3
% 177.48/27.85 (16) op(e1, all_52_2) = unit
% 177.48/27.85 (17) op(e0, all_52_3) = unit
% 177.48/27.85 (18) ~ (all_52_2 = all_52_3)
% 177.48/27.85
% 177.48/27.85 Begin of proof
% 177.48/27.85 |
% 177.48/27.85 | BETA: splitting (8) gives:
% 177.48/27.85 |
% 177.48/27.85 | Case 1:
% 177.48/27.85 | |
% 177.48/27.85 | | (19) ~ (all_58_3 = e1)
% 177.48/27.85 | |
% 177.48/27.85 | | REDUCE: (12), (19) imply:
% 177.48/27.85 | | (20) ~ (all_52_3 = e1)
% 177.48/27.85 | |
% 177.48/27.85 | | BETA: splitting (1) gives:
% 177.48/27.85 | |
% 177.48/27.85 | | Case 1:
% 177.48/27.85 | | |
% 177.48/27.85 | | | (21) all_56_2 = e3
% 177.48/27.85 | | |
% 177.48/27.85 | | | COMBINE_EQS: (2), (21) imply:
% 177.48/27.85 | | | (22) all_52_2 = e3
% 177.48/27.85 | | |
% 177.48/27.85 | | | REDUCE: (9), (22) imply:
% 177.48/27.85 | | | (23) $false
% 177.48/27.85 | | |
% 177.48/27.85 | | | CLOSE: (23) is inconsistent.
% 177.48/27.85 | | |
% 177.48/27.85 | | Case 2:
% 177.48/27.85 | | |
% 177.48/27.85 | | | (24) all_56_2 = e2 | all_56_2 = e1 | all_56_2 = e0
% 177.48/27.85 | | |
% 177.48/27.85 | | | BETA: splitting (11) gives:
% 177.48/27.85 | | |
% 177.48/27.85 | | | Case 1:
% 177.48/27.85 | | | |
% 177.48/27.85 | | | | (25) all_56_3 = e3
% 177.48/27.85 | | | |
% 177.48/27.85 | | | | COMBINE_EQS: (15), (25) imply:
% 177.48/27.85 | | | | (26) all_52_3 = e3
% 177.48/27.85 | | | |
% 177.48/27.85 | | | | REDUCE: (3), (26) imply:
% 177.48/27.85 | | | | (27) $false
% 177.48/27.85 | | | |
% 177.48/27.85 | | | | CLOSE: (27) is inconsistent.
% 177.48/27.85 | | | |
% 177.48/27.85 | | | Case 2:
% 177.48/27.85 | | | |
% 177.48/27.85 | | | | (28) all_56_3 = e2 | all_56_3 = e1 | all_56_3 = e0
% 177.48/27.85 | | | |
% 177.48/27.85 | | | | BETA: splitting (28) gives:
% 177.48/27.85 | | | |
% 177.48/27.85 | | | | Case 1:
% 177.48/27.85 | | | | |
% 177.48/27.85 | | | | | (29) all_56_3 = e2
% 177.48/27.85 | | | | |
% 177.48/27.85 | | | | | COMBINE_EQS: (15), (29) imply:
% 177.48/27.85 | | | | | (30) all_52_3 = e2
% 177.48/27.85 | | | | |
% 177.48/27.85 | | | | | REDUCE: (4), (30) imply:
% 177.48/27.85 | | | | | (31) $false
% 177.48/27.85 | | | | |
% 177.48/27.85 | | | | | CLOSE: (31) is inconsistent.
% 177.48/27.85 | | | | |
% 177.48/27.85 | | | | Case 2:
% 177.48/27.85 | | | | |
% 177.48/27.85 | | | | | (32) ~ (all_56_3 = e2)
% 177.48/27.85 | | | | | (33) all_56_3 = e1 | all_56_3 = e0
% 177.48/27.85 | | | | |
% 177.48/27.85 | | | | | BETA: splitting (24) gives:
% 177.48/27.85 | | | | |
% 177.48/27.85 | | | | | Case 1:
% 177.48/27.85 | | | | | |
% 177.48/27.85 | | | | | | (34) all_56_2 = e2
% 177.48/27.85 | | | | | |
% 177.48/27.85 | | | | | | COMBINE_EQS: (2), (34) imply:
% 177.48/27.85 | | | | | | (35) all_52_2 = e2
% 177.48/27.85 | | | | | |
% 177.48/27.85 | | | | | | REDUCE: (13), (35) imply:
% 177.48/27.85 | | | | | | (36) $false
% 177.48/27.85 | | | | | |
% 177.48/27.85 | | | | | | CLOSE: (36) is inconsistent.
% 177.48/27.85 | | | | | |
% 177.48/27.85 | | | | | Case 2:
% 177.48/27.85 | | | | | |
% 177.48/27.85 | | | | | | (37) all_56_2 = e1 | all_56_2 = e0
% 177.48/27.85 | | | | | |
% 177.48/27.85 | | | | | | BETA: splitting (33) gives:
% 177.48/27.85 | | | | | |
% 177.48/27.85 | | | | | | Case 1:
% 177.48/27.85 | | | | | | |
% 177.48/27.85 | | | | | | | (38) all_56_3 = e1
% 177.48/27.85 | | | | | | |
% 177.48/27.85 | | | | | | | COMBINE_EQS: (15), (38) imply:
% 177.48/27.85 | | | | | | | (39) all_52_3 = e1
% 177.48/27.85 | | | | | | |
% 177.48/27.85 | | | | | | | REDUCE: (20), (39) imply:
% 177.48/27.85 | | | | | | | (40) $false
% 177.48/27.85 | | | | | | |
% 177.48/27.85 | | | | | | | CLOSE: (40) is inconsistent.
% 177.48/27.85 | | | | | | |
% 177.48/27.85 | | | | | | Case 2:
% 177.48/27.85 | | | | | | |
% 177.48/27.85 | | | | | | | (41) all_56_3 = e0
% 177.48/27.85 | | | | | | |
% 177.48/27.85 | | | | | | | COMBINE_EQS: (15), (41) imply:
% 177.48/27.85 | | | | | | | (42) all_52_3 = e0
% 177.48/27.85 | | | | | | |
% 177.48/27.85 | | | | | | | REDUCE: (4), (42) imply:
% 177.48/27.85 | | | | | | | (43) ~ (e2 = e0)
% 177.48/27.85 | | | | | | |
% 177.48/27.85 | | | | | | | SIMP: (43) implies:
% 177.48/27.85 | | | | | | | (44) ~ (e2 = e0)
% 177.48/27.85 | | | | | | |
% 177.48/27.85 | | | | | | | REDUCE: (17), (42) imply:
% 177.48/27.85 | | | | | | | (45) op(e0, e0) = unit
% 177.48/27.85 | | | | | | |
% 177.48/27.85 | | | | | | | BETA: splitting (37) gives:
% 177.48/27.85 | | | | | | |
% 177.48/27.85 | | | | | | | Case 1:
% 177.48/27.85 | | | | | | | |
% 177.48/27.85 | | | | | | | | (46) all_56_2 = e1
% 177.48/27.85 | | | | | | | |
% 177.48/27.85 | | | | | | | | COMBINE_EQS: (2), (46) imply:
% 177.48/27.85 | | | | | | | | (47) all_52_2 = e1
% 177.48/27.85 | | | | | | | |
% 177.48/27.85 | | | | | | | | SIMP: (47) implies:
% 177.48/27.85 | | | | | | | | (48) all_52_2 = e1
% 177.48/27.85 | | | | | | | |
% 177.48/27.85 | | | | | | | | REDUCE: (16), (48) imply:
% 177.48/27.85 | | | | | | | | (49) op(e1, e1) = unit
% 177.48/27.85 | | | | | | | |
% 177.48/27.85 | | | | | | | | GROUND_INST: instantiating (5) with e0, unit, e0, e0,
% 177.48/27.85 | | | | | | | | simplifying with (10), (45) gives:
% 177.48/27.85 | | | | | | | | (50) unit = e0
% 177.48/27.85 | | | | | | | |
% 177.48/27.85 | | | | | | | | GROUND_INST: instantiating (5) with e2, unit, e1, e1,
% 177.48/27.85 | | | | | | | | simplifying with (7), (49) gives:
% 177.48/27.85 | | | | | | | | (51) unit = e2
% 177.48/27.85 | | | | | | | |
% 177.48/27.85 | | | | | | | | REF_CLOSE: (44), (50), (51) are inconsistent by sub-proof #338.
% 177.48/27.85 | | | | | | | |
% 177.48/27.85 | | | | | | | Case 2:
% 177.48/27.85 | | | | | | | |
% 177.48/27.85 | | | | | | | | (52) all_56_2 = e0
% 177.48/27.85 | | | | | | | |
% 177.48/27.85 | | | | | | | | REF_CLOSE: (2), (6), (52) are inconsistent by sub-proof #480.
% 177.48/27.85 | | | | | | | |
% 177.48/27.85 | | | | | | | End of split
% 177.48/27.85 | | | | | | |
% 177.48/27.85 | | | | | | End of split
% 177.48/27.85 | | | | | |
% 177.48/27.85 | | | | | End of split
% 177.48/27.85 | | | | |
% 177.48/27.85 | | | | End of split
% 177.48/27.85 | | | |
% 177.48/27.85 | | | End of split
% 177.48/27.85 | | |
% 177.48/27.85 | | End of split
% 177.48/27.85 | |
% 177.48/27.85 | Case 2:
% 177.48/27.85 | |
% 177.48/27.85 | | (53) all_58_2 = e0
% 177.48/27.85 | |
% 177.48/27.85 | | REF_CLOSE: (6), (14), (53) are inconsistent by sub-proof #436.
% 177.48/27.85 | |
% 177.48/27.85 | End of split
% 177.48/27.85 |
% 177.48/27.85 End of proof
% 177.48/27.85
% 177.48/27.85 Sub-proof #241 shows that the following formulas are inconsistent:
% 177.48/27.85 ----------------------------------------------------------------
% 177.48/27.85 (1) ~ (all_52_0 = all_52_1)
% 177.48/27.85 (2) ~ (all_52_1 = all_52_3)
% 177.48/27.85 (3) ~ (all_52_0 = all_52_3)
% 177.48/27.85 (4) ~ (all_52_3 = e2)
% 177.48/27.85 (5) all_58_0 = all_52_0
% 177.48/27.85 (6) all_56_1 = e3 | all_56_1 = e2 | all_56_1 = e1 | all_56_1 = e0
% 177.48/27.85 (7) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 177.48/27.85 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 177.48/27.85 (8) op(e2, e2) = e0
% 177.48/27.85 (9) ~ (all_52_1 = all_52_2)
% 177.48/27.85 (10) all_56_3 = e3 | all_56_3 = e2 | all_56_3 = e1 | all_56_3 = e0
% 177.48/27.85 (11) all_56_1 = all_52_1
% 177.48/27.85 (12) all_58_3 = all_52_3
% 177.48/27.85 (13) op(e2, all_52_1) = unit
% 177.48/27.85 (14) all_58_2 = all_52_2
% 177.48/27.85 (15) ~ (all_58_1 = e0) | all_58_3 = e2
% 177.48/27.85 (16) all_56_3 = all_52_3
% 177.48/27.85 (17) all_58_1 = all_52_1
% 177.48/27.85 (18) all_58_0 = e1
% 177.48/27.85 (19) op(e0, e0) = e2
% 177.48/27.85 (20) op(e0, all_52_3) = unit
% 177.48/27.85 (21) all_58_2 = e3
% 177.48/27.85 (22) ~ (all_52_2 = all_52_3)
% 177.48/27.85
% 177.48/27.85 Begin of proof
% 177.48/27.85 |
% 177.48/27.85 | COMBINE_EQS: (5), (18) imply:
% 177.48/27.85 | (23) all_52_0 = e1
% 177.48/27.85 |
% 177.48/27.85 | SIMP: (23) implies:
% 177.48/27.85 | (24) all_52_0 = e1
% 177.48/27.85 |
% 177.48/27.85 | COMBINE_EQS: (14), (21) imply:
% 177.48/27.85 | (25) all_52_2 = e3
% 177.48/27.85 |
% 177.48/27.85 | REDUCE: (1), (24) imply:
% 177.48/27.85 | (26) ~ (all_52_1 = e1)
% 177.48/27.85 |
% 177.48/27.85 | SIMP: (26) implies:
% 177.48/27.85 | (27) ~ (all_52_1 = e1)
% 177.48/27.85 |
% 177.48/27.85 | REDUCE: (3), (24) imply:
% 177.48/27.85 | (28) ~ (all_52_3 = e1)
% 177.48/27.85 |
% 177.48/27.85 | SIMP: (28) implies:
% 177.48/27.85 | (29) ~ (all_52_3 = e1)
% 177.48/27.85 |
% 177.48/27.85 | REDUCE: (9), (25) imply:
% 177.48/27.85 | (30) ~ (all_52_1 = e3)
% 177.48/27.85 |
% 177.48/27.85 | REDUCE: (22), (25) imply:
% 177.48/27.85 | (31) ~ (all_52_3 = e3)
% 177.48/27.85 |
% 177.48/27.85 | SIMP: (31) implies:
% 177.48/27.85 | (32) ~ (all_52_3 = e3)
% 177.48/27.85 |
% 177.48/27.85 | REF_CLOSE: (2), (4), (6), (7), (8), (10), (11), (12), (13), (15), (16), (17),
% 177.48/27.85 | (19), (20), (27), (29), (30), (32) are inconsistent by sub-proof
% 177.48/27.85 | #242.
% 177.48/27.85 |
% 177.48/27.85 End of proof
% 177.48/27.85
% 177.48/27.85 Sub-proof #242 shows that the following formulas are inconsistent:
% 177.48/27.85 ----------------------------------------------------------------
% 177.48/27.85 (1) ~ (all_52_3 = e3)
% 177.48/27.85 (2) ~ (all_52_1 = all_52_3)
% 177.48/27.85 (3) ~ (all_52_3 = e2)
% 177.48/27.85 (4) all_56_1 = e3 | all_56_1 = e2 | all_56_1 = e1 | all_56_1 = e0
% 177.48/27.85 (5) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 177.48/27.85 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 177.48/27.85 (6) ~ (all_52_1 = e3)
% 177.48/27.85 (7) op(e2, e2) = e0
% 177.48/27.85 (8) all_56_3 = e3 | all_56_3 = e2 | all_56_3 = e1 | all_56_3 = e0
% 177.48/27.85 (9) all_56_1 = all_52_1
% 177.48/27.85 (10) all_58_3 = all_52_3
% 177.48/27.85 (11) op(e2, all_52_1) = unit
% 177.48/27.85 (12) ~ (all_58_1 = e0) | all_58_3 = e2
% 177.48/27.85 (13) ~ (all_52_3 = e1)
% 177.48/27.85 (14) all_56_3 = all_52_3
% 177.48/27.85 (15) all_58_1 = all_52_1
% 177.48/27.85 (16) ~ (all_52_1 = e1)
% 177.48/27.85 (17) op(e0, e0) = e2
% 177.48/27.85 (18) op(e0, all_52_3) = unit
% 177.48/27.85
% 177.48/27.85 Begin of proof
% 177.48/27.85 |
% 177.48/27.85 | BETA: splitting (12) gives:
% 177.48/27.85 |
% 177.48/27.85 | Case 1:
% 177.48/27.85 | |
% 177.48/27.85 | | (19) ~ (all_58_1 = e0)
% 177.48/27.85 | |
% 177.48/27.85 | | REDUCE: (15), (19) imply:
% 177.48/27.85 | | (20) ~ (all_52_1 = e0)
% 177.48/27.85 | |
% 177.48/27.85 | | REF_CLOSE: (1), (2), (4), (5), (6), (7), (8), (9), (11), (13), (14), (16),
% 177.48/27.85 | | (17), (18), (20) are inconsistent by sub-proof #340.
% 177.48/27.85 | |
% 177.48/27.85 | Case 2:
% 177.48/27.85 | |
% 177.48/27.85 | | (21) all_58_3 = e2
% 177.48/27.85 | |
% 177.48/27.85 | | REF_CLOSE: (3), (10), (21) are inconsistent by sub-proof #459.
% 177.48/27.85 | |
% 177.48/27.85 | End of split
% 177.48/27.85 |
% 177.48/27.85 End of proof
% 177.48/27.85
% 177.48/27.85 Sub-proof #243 shows that the following formulas are inconsistent:
% 177.48/27.85 ----------------------------------------------------------------
% 177.48/27.85 (1) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 177.48/27.85 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 177.48/27.85 (2) op(all_61_14, e0) = all_10_1
% 177.48/27.85 (3) all_58_2 = e0
% 177.48/27.85 (4) all_58_2 = all_52_2
% 177.48/27.85 (5) ~ (all_10_1 = e0)
% 177.48/27.85 (6) op(e1, e0) = all_61_14
% 177.48/27.85 (7) op(unit, e0) = e0
% 177.48/27.85 (8) op(e1, all_52_2) = unit
% 177.48/27.85
% 177.48/27.85 Begin of proof
% 177.48/27.85 |
% 177.48/27.85 | COMBINE_EQS: (3), (4) imply:
% 177.48/27.85 | (9) all_52_2 = e0
% 177.48/27.85 |
% 177.48/27.85 | SIMP: (9) implies:
% 177.48/27.85 | (10) all_52_2 = e0
% 177.48/27.85 |
% 177.48/27.85 | REDUCE: (8), (10) imply:
% 177.48/27.85 | (11) op(e1, e0) = unit
% 177.48/27.85 |
% 177.48/27.85 | REF_CLOSE: (1), (2), (5), (6), (7), (11) are inconsistent by sub-proof #244.
% 177.48/27.85 |
% 177.48/27.85 End of proof
% 177.48/27.85
% 177.48/27.85 Sub-proof #244 shows that the following formulas are inconsistent:
% 177.48/27.85 ----------------------------------------------------------------
% 177.48/27.85 (1) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 177.48/27.85 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 177.48/27.85 (2) op(all_61_14, e0) = all_10_1
% 177.48/27.85 (3) ~ (all_10_1 = e0)
% 177.48/27.85 (4) op(e1, e0) = all_61_14
% 177.48/27.85 (5) op(e1, e0) = unit
% 177.48/27.85 (6) op(unit, e0) = e0
% 177.48/27.85
% 177.48/27.85 Begin of proof
% 177.48/27.85 |
% 177.48/27.85 | GROUND_INST: instantiating (1) with all_61_14, unit, e0, e1, simplifying with
% 177.48/27.85 | (4), (5) gives:
% 177.48/27.85 | (7) all_61_14 = unit
% 177.48/27.85 |
% 177.48/27.85 | REDUCE: (2), (7) imply:
% 177.48/27.85 | (8) op(unit, e0) = all_10_1
% 177.48/27.85 |
% 177.48/27.85 | GROUND_INST: instantiating (1) with e0, all_10_1, e0, unit, simplifying with
% 177.48/27.85 | (6), (8) gives:
% 177.48/27.85 | (9) all_10_1 = e0
% 177.48/27.85 |
% 177.48/27.85 | REDUCE: (3), (9) imply:
% 177.48/27.85 | (10) $false
% 177.48/27.85 |
% 177.48/27.85 | CLOSE: (10) is inconsistent.
% 177.48/27.85 |
% 177.48/27.86 End of proof
% 177.48/27.86
% 177.48/27.86 Sub-proof #245 shows that the following formulas are inconsistent:
% 177.48/27.86 ----------------------------------------------------------------
% 177.48/27.86 (1) all_63_2 = all_40_1
% 177.48/27.86 (2) all_63_6 = all_10_1
% 177.48/27.86 (3) ~ (all_61_8 = e2)
% 177.48/27.86 (4) all_63_6 = e3 | all_63_6 = e2 | all_63_6 = e1 | all_63_6 = e0
% 177.48/27.86 (5) all_63_2 = e3 | all_63_2 = e2 | all_63_2 = e1 | all_63_2 = e0
% 177.48/27.86 (6) ~ (all_61_14 = unit)
% 177.48/27.86 (7) ~ (all_10_1 = unit)
% 177.48/27.86 (8) ~ (all_10_1 = e0)
% 177.48/27.86 (9) ~ (all_61_8 = all_61_14)
% 177.48/27.86 (10) ~ (unit = e0)
% 177.48/27.86 (11) ~ (all_40_1 = all_10_1)
% 177.48/27.86 (12) ~ (all_61_14 = all_10_1)
% 177.48/27.86 (13) all_63_14 = e3 | all_63_14 = e2 | all_63_14 = e1 | all_63_14 = e0
% 177.48/27.86 (14) all_63_14 = all_61_14
% 177.48/27.86 (15) ~ (all_61_14 = e2)
% 177.48/27.86 (16) unit = e1 | unit = e0
% 177.48/27.86 (17) ~ (all_10_1 = e2)
% 177.48/27.86 (18) ~ (all_61_8 = e1)
% 177.48/27.86 (19) all_63_2 = all_61_8
% 177.48/27.86
% 177.48/27.86 Begin of proof
% 177.48/27.86 |
% 177.48/27.86 | BETA: splitting (16) gives:
% 177.48/27.86 |
% 177.48/27.86 | Case 1:
% 177.48/27.86 | |
% 177.48/27.86 | | (20) unit = e1
% 177.48/27.86 | |
% 177.48/27.86 | | REDUCE: (6), (20) imply:
% 177.48/27.86 | | (21) ~ (all_61_14 = e1)
% 177.48/27.86 | |
% 177.48/27.86 | | REDUCE: (7), (20) imply:
% 177.48/27.86 | | (22) ~ (all_10_1 = e1)
% 177.48/27.86 | |
% 177.48/27.86 | | BETA: splitting (4) gives:
% 177.48/27.86 | |
% 177.48/27.86 | | Case 1:
% 177.48/27.86 | | |
% 177.48/27.86 | | | (23) all_63_6 = e3
% 177.48/27.86 | | |
% 177.48/27.86 | | | COMBINE_EQS: (2), (23) imply:
% 177.48/27.86 | | | (24) all_10_1 = e3
% 177.48/27.86 | | |
% 177.48/27.86 | | | REDUCE: (12), (24) imply:
% 177.48/27.86 | | | (25) ~ (all_61_14 = e3)
% 177.48/27.86 | | |
% 177.48/27.86 | | | REDUCE: (11), (24) imply:
% 177.48/27.86 | | | (26) ~ (all_40_1 = e3)
% 177.48/27.86 | | |
% 177.48/27.86 | | | BETA: splitting (5) gives:
% 177.48/27.86 | | |
% 177.48/27.86 | | | Case 1:
% 177.48/27.86 | | | |
% 177.48/27.86 | | | | (27) all_63_2 = e3
% 177.48/27.86 | | | |
% 177.48/27.86 | | | | COMBINE_EQS: (1), (27) imply:
% 177.48/27.86 | | | | (28) all_40_1 = e3
% 177.48/27.86 | | | |
% 177.48/27.86 | | | | REDUCE: (26), (28) imply:
% 177.48/27.86 | | | | (29) $false
% 177.48/27.86 | | | |
% 177.48/27.86 | | | | CLOSE: (29) is inconsistent.
% 177.48/27.86 | | | |
% 177.48/27.86 | | | Case 2:
% 177.48/27.86 | | | |
% 177.48/27.86 | | | | (30) all_63_2 = e2 | all_63_2 = e1 | all_63_2 = e0
% 177.48/27.86 | | | |
% 177.48/27.86 | | | | REF_CLOSE: (3), (9), (13), (14), (15), (18), (19), (21), (25), (30) are
% 177.48/27.86 | | | | inconsistent by sub-proof #266.
% 177.48/27.86 | | | |
% 177.48/27.86 | | | End of split
% 177.48/27.86 | | |
% 177.48/27.86 | | Case 2:
% 177.48/27.86 | | |
% 177.48/27.86 | | | (31) all_63_6 = e2 | all_63_6 = e1 | all_63_6 = e0
% 177.48/27.86 | | |
% 177.48/27.86 | | | REF_CLOSE: (2), (8), (17), (22), (31) are inconsistent by sub-proof #288.
% 177.48/27.86 | | |
% 177.48/27.86 | | End of split
% 177.48/27.86 | |
% 177.48/27.86 | Case 2:
% 177.48/27.86 | |
% 177.48/27.86 | | (32) ~ (unit = e1)
% 177.48/27.86 | |
% 177.48/27.86 | | REF_CLOSE: (10), (16), (32) are inconsistent by sub-proof #419.
% 177.48/27.86 | |
% 177.48/27.86 | End of split
% 177.48/27.86 |
% 177.48/27.86 End of proof
% 177.48/27.86
% 177.48/27.86 Sub-proof #246 shows that the following formulas are inconsistent:
% 177.48/27.86 ----------------------------------------------------------------
% 177.48/27.86 (1) ( ~ (all_60_2 = e2) & op(e1, e1) = all_60_2 & $i(all_60_2)) | ( ~
% 177.48/27.86 (all_60_3 = e2) & op(e0, e0) = all_60_3 & $i(all_60_3))
% 177.48/27.86 (2) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 177.48/27.86 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 177.48/27.86 (3) op(e1, e1) = e2
% 177.48/27.86 (4) op(e0, e0) = e2
% 177.48/27.86
% 177.48/27.86 Begin of proof
% 177.48/27.86 |
% 177.48/27.86 | BETA: splitting (1) gives:
% 177.48/27.86 |
% 177.48/27.86 | Case 1:
% 177.48/27.86 | |
% 177.48/27.86 | | (5) ~ (all_60_2 = e2) & op(e1, e1) = all_60_2 & $i(all_60_2)
% 177.48/27.86 | |
% 177.48/27.86 | | ALPHA: (5) implies:
% 177.48/27.86 | | (6) ~ (all_60_2 = e2)
% 177.48/27.86 | | (7) op(e1, e1) = all_60_2
% 177.48/27.86 | |
% 177.48/27.86 | | GROUND_INST: instantiating (2) with e2, all_60_2, e1, e1, simplifying with
% 177.48/27.86 | | (3), (7) gives:
% 177.48/27.86 | | (8) all_60_2 = e2
% 177.48/27.86 | |
% 177.48/27.86 | | REDUCE: (6), (8) imply:
% 177.48/27.86 | | (9) $false
% 177.48/27.86 | |
% 177.48/27.86 | | CLOSE: (9) is inconsistent.
% 177.48/27.86 | |
% 177.48/27.86 | Case 2:
% 177.48/27.86 | |
% 177.48/27.86 | | (10) ~ (all_60_3 = e2) & op(e0, e0) = all_60_3 & $i(all_60_3)
% 177.48/27.86 | |
% 177.48/27.86 | | REF_CLOSE: (2), (4), (10) are inconsistent by sub-proof #341.
% 177.48/27.86 | |
% 177.48/27.86 | End of split
% 177.48/27.86 |
% 177.48/27.86 End of proof
% 177.48/27.86
% 177.48/27.86 Sub-proof #247 shows that the following formulas are inconsistent:
% 177.48/27.86 ----------------------------------------------------------------
% 177.48/27.86 (1) ~ (all_61_8 = e0)
% 177.48/27.86 (2) ~ (all_61_8 = e2)
% 177.48/27.86 (3) all_63_2 = e3 | all_63_2 = e2 | all_63_2 = e1 | all_63_2 = e0
% 177.48/27.86 (4) all_63_12 = e3 | all_63_12 = e2 | all_63_12 = e1 | all_63_12 = e0
% 177.48/27.86 (5) ~ (all_61_8 = e3)
% 177.48/27.86 (6) all_63_12 = all_36_1
% 177.48/27.86 (7) ~ (all_36_1 = e3)
% 177.48/27.86 (8) ~ (all_36_1 = e0)
% 177.48/27.86 (9) ~ (all_36_1 = e2)
% 177.48/27.86 (10) ~ (all_61_8 = all_36_1)
% 177.48/27.86 (11) all_63_2 = all_61_8
% 177.48/27.86
% 177.48/27.86 Begin of proof
% 177.48/27.86 |
% 177.48/27.86 | BETA: splitting (4) gives:
% 177.48/27.86 |
% 177.48/27.86 | Case 1:
% 177.48/27.86 | |
% 177.48/27.86 | | (12) all_63_12 = e3
% 177.48/27.86 | |
% 177.48/27.86 | | COMBINE_EQS: (6), (12) imply:
% 177.48/27.86 | | (13) all_36_1 = e3
% 177.48/27.86 | |
% 177.48/27.86 | | REDUCE: (7), (13) imply:
% 177.48/27.86 | | (14) $false
% 177.48/27.86 | |
% 177.48/27.86 | | CLOSE: (14) is inconsistent.
% 177.48/27.86 | |
% 177.48/27.86 | Case 2:
% 177.48/27.86 | |
% 177.48/27.86 | | (15) all_63_12 = e2 | all_63_12 = e1 | all_63_12 = e0
% 177.48/27.86 | |
% 177.48/27.86 | | BETA: splitting (3) gives:
% 177.48/27.86 | |
% 177.48/27.86 | | Case 1:
% 177.48/27.86 | | |
% 177.48/27.86 | | | (16) all_63_2 = e3
% 177.48/27.86 | | |
% 177.48/27.86 | | | COMBINE_EQS: (11), (16) imply:
% 177.48/27.86 | | | (17) all_61_8 = e3
% 177.48/27.86 | | |
% 177.48/27.86 | | | REDUCE: (5), (17) imply:
% 177.48/27.86 | | | (18) $false
% 177.48/27.86 | | |
% 177.48/27.86 | | | CLOSE: (18) is inconsistent.
% 177.48/27.86 | | |
% 177.48/27.86 | | Case 2:
% 177.48/27.86 | | |
% 177.48/27.86 | | | (19) all_63_2 = e2 | all_63_2 = e1 | all_63_2 = e0
% 177.48/27.86 | | |
% 177.48/27.86 | | | BETA: splitting (19) gives:
% 177.48/27.86 | | |
% 177.48/27.86 | | | Case 1:
% 177.48/27.86 | | | |
% 177.48/27.86 | | | | (20) all_63_2 = e2
% 177.48/27.86 | | | |
% 177.48/27.86 | | | | COMBINE_EQS: (11), (20) imply:
% 177.48/27.86 | | | | (21) all_61_8 = e2
% 177.48/27.86 | | | |
% 177.48/27.86 | | | | REDUCE: (2), (21) imply:
% 177.48/27.86 | | | | (22) $false
% 177.48/27.86 | | | |
% 177.48/27.86 | | | | CLOSE: (22) is inconsistent.
% 177.48/27.86 | | | |
% 177.48/27.86 | | | Case 2:
% 177.48/27.86 | | | |
% 177.48/27.86 | | | | (23) all_63_2 = e1 | all_63_2 = e0
% 177.48/27.86 | | | |
% 177.48/27.86 | | | | BETA: splitting (15) gives:
% 177.48/27.86 | | | |
% 177.48/27.86 | | | | Case 1:
% 177.48/27.86 | | | | |
% 177.48/27.86 | | | | | (24) all_63_12 = e2
% 177.48/27.86 | | | | |
% 177.48/27.86 | | | | | COMBINE_EQS: (6), (24) imply:
% 177.48/27.86 | | | | | (25) all_36_1 = e2
% 177.48/27.86 | | | | |
% 177.48/27.86 | | | | | REDUCE: (9), (25) imply:
% 177.48/27.86 | | | | | (26) $false
% 177.48/27.86 | | | | |
% 177.48/27.86 | | | | | CLOSE: (26) is inconsistent.
% 177.48/27.86 | | | | |
% 177.48/27.86 | | | | Case 2:
% 177.48/27.86 | | | | |
% 177.48/27.86 | | | | | (27) all_63_12 = e1 | all_63_12 = e0
% 177.48/27.86 | | | | |
% 177.48/27.86 | | | | | REF_CLOSE: (1), (6), (8), (10), (11), (23), (27) are inconsistent by
% 177.48/27.86 | | | | | sub-proof #275.
% 177.48/27.86 | | | | |
% 177.48/27.86 | | | | End of split
% 177.48/27.86 | | | |
% 177.48/27.86 | | | End of split
% 177.48/27.86 | | |
% 177.48/27.86 | | End of split
% 177.48/27.86 | |
% 177.48/27.86 | End of split
% 177.48/27.86 |
% 177.48/27.86 End of proof
% 177.48/27.86
% 177.48/27.86 Sub-proof #248 shows that the following formulas are inconsistent:
% 177.48/27.86 ----------------------------------------------------------------
% 177.48/27.86 (1) ~ (unit = e1)
% 177.48/27.86 (2) ~ (all_10_1 = unit)
% 177.48/27.86 (3) all_10_1 = e0
% 177.48/27.86 (4) ~ (unit = e2)
% 177.48/27.86 (5) unit = e2 | unit = e1 | unit = e0
% 177.48/27.86
% 177.48/27.86 Begin of proof
% 177.48/27.86 |
% 177.48/27.86 | REDUCE: (2), (3) imply:
% 177.48/27.86 | (6) ~ (unit = e0)
% 177.48/27.86 |
% 177.48/27.86 | SIMP: (6) implies:
% 177.48/27.86 | (7) ~ (unit = e0)
% 177.48/27.86 |
% 177.48/27.86 | REF_CLOSE: (1), (4), (5), (7) are inconsistent by sub-proof #398.
% 177.48/27.86 |
% 177.48/27.86 End of proof
% 177.48/27.86
% 177.48/27.86 Sub-proof #249 shows that the following formulas are inconsistent:
% 177.48/27.86 ----------------------------------------------------------------
% 177.48/27.86 (1) ~ (all_61_8 = e0)
% 177.48/27.86 (2) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 177.48/27.86 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 177.48/27.86 (3) op(all_61_14, e0) = all_61_8
% 177.48/27.86 (4) op(e1, e0) = all_61_14
% 177.48/27.86 (5) op(e1, e0) = unit
% 177.48/27.86 (6) op(unit, e0) = e0
% 177.48/27.86
% 177.48/27.86 Begin of proof
% 177.48/27.86 |
% 177.48/27.86 | GROUND_INST: instantiating (2) with all_61_14, unit, e0, e1, simplifying with
% 177.48/27.86 | (4), (5) gives:
% 177.48/27.86 | (7) all_61_14 = unit
% 177.48/27.86 |
% 177.48/27.86 | REDUCE: (3), (7) imply:
% 177.48/27.86 | (8) op(unit, e0) = all_61_8
% 177.48/27.86 |
% 177.48/27.86 | GROUND_INST: instantiating (2) with e0, all_61_8, e0, unit, simplifying with
% 177.48/27.86 | (6), (8) gives:
% 177.48/27.86 | (9) all_61_8 = e0
% 177.48/27.86 |
% 177.48/27.86 | REDUCE: (1), (9) imply:
% 177.48/27.86 | (10) $false
% 177.48/27.86 |
% 177.48/27.86 | CLOSE: (10) is inconsistent.
% 177.48/27.86 |
% 177.48/27.86 End of proof
% 177.48/27.86
% 177.48/27.86 Sub-proof #250 shows that the following formulas are inconsistent:
% 177.48/27.86 ----------------------------------------------------------------
% 177.48/27.86 (1) all_63_14 = all_61_14
% 177.48/27.86 (2) all_63_14 = e1
% 177.48/27.86 (3) ~ (all_61_14 = e1)
% 177.48/27.86
% 177.48/27.86 Begin of proof
% 177.48/27.86 |
% 177.48/27.86 | COMBINE_EQS: (1), (2) imply:
% 177.48/27.86 | (4) all_61_14 = e1
% 177.48/27.86 |
% 177.48/27.86 | SIMP: (4) implies:
% 177.48/27.86 | (5) all_61_14 = e1
% 177.48/27.86 |
% 177.48/27.86 | REDUCE: (3), (5) imply:
% 177.48/27.86 | (6) $false
% 177.48/27.86 |
% 177.48/27.86 | CLOSE: (6) is inconsistent.
% 177.48/27.86 |
% 177.48/27.86 End of proof
% 177.48/27.86
% 177.48/27.86 Sub-proof #251 shows that the following formulas are inconsistent:
% 177.48/27.86 ----------------------------------------------------------------
% 177.48/27.86 (1) all_63_14 = all_61_14
% 177.48/27.86 (2) all_63_14 = e2
% 177.48/27.86 (3) ~ (all_61_14 = e2)
% 177.48/27.86
% 177.48/27.86 Begin of proof
% 177.48/27.86 |
% 177.48/27.86 | COMBINE_EQS: (1), (2) imply:
% 177.48/27.86 | (4) all_61_14 = e2
% 177.48/27.86 |
% 177.48/27.86 | SIMP: (4) implies:
% 177.48/27.86 | (5) all_61_14 = e2
% 177.48/27.86 |
% 177.48/27.86 | REDUCE: (3), (5) imply:
% 177.48/27.86 | (6) $false
% 177.48/27.86 |
% 177.48/27.86 | CLOSE: (6) is inconsistent.
% 177.48/27.86 |
% 177.48/27.86 End of proof
% 177.48/27.86
% 177.48/27.86 Sub-proof #252 shows that the following formulas are inconsistent:
% 177.48/27.86 ----------------------------------------------------------------
% 177.48/27.86 (1) all_63_14 = all_61_14
% 177.48/27.86 (2) all_63_14 = e3
% 177.48/27.86 (3) ~ (all_61_14 = e3)
% 177.48/27.86
% 177.48/27.86 Begin of proof
% 177.48/27.86 |
% 177.48/27.86 | COMBINE_EQS: (1), (2) imply:
% 177.48/27.86 | (4) all_61_14 = e3
% 177.48/27.86 |
% 177.48/27.86 | SIMP: (4) implies:
% 177.48/27.86 | (5) all_61_14 = e3
% 177.48/27.86 |
% 177.48/27.86 | REDUCE: (3), (5) imply:
% 177.48/27.86 | (6) $false
% 177.48/27.86 |
% 177.48/27.86 | CLOSE: (6) is inconsistent.
% 177.48/27.86 |
% 177.48/27.86 End of proof
% 177.48/27.86
% 177.48/27.86 Sub-proof #253 shows that the following formulas are inconsistent:
% 177.48/27.86 ----------------------------------------------------------------
% 177.48/27.86 (1) all_22_1 = e1
% 177.48/27.86 (2) ~ (unit = e2)
% 177.48/27.86 (3) unit = e2 | unit = e1 | unit = e0
% 177.48/27.86 (4) ~ (unit = e0)
% 177.48/27.86 (5) ~ (all_22_1 = unit)
% 177.48/27.86
% 177.48/27.86 Begin of proof
% 177.48/27.86 |
% 177.48/27.86 | SIMP: (4) implies:
% 177.48/27.86 | (6) ~ (unit = e0)
% 177.48/27.86 |
% 177.48/27.86 | REDUCE: (1), (5) imply:
% 177.48/27.86 | (7) ~ (unit = e1)
% 177.48/27.86 |
% 177.48/27.86 | SIMP: (7) implies:
% 177.48/27.86 | (8) ~ (unit = e1)
% 177.48/27.86 |
% 177.48/27.86 | REF_CLOSE: (2), (3), (6), (8) are inconsistent by sub-proof #398.
% 177.48/27.86 |
% 177.48/27.86 End of proof
% 177.48/27.86
% 177.48/27.86 Sub-proof #254 shows that the following formulas are inconsistent:
% 177.48/27.86 ----------------------------------------------------------------
% 177.48/27.86 (1) op(e3, e1) = unit
% 177.48/27.86 (2) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 177.48/27.86 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 177.48/27.86 (3) op(all_61_8, e3) = all_61_8
% 177.48/27.86 (4) op(e3, e1) = all_61_8
% 177.48/27.86 (5) op(unit, e3) = e3
% 177.48/27.86 (6) ~ (all_61_8 = e3)
% 177.48/27.86
% 177.48/27.86 Begin of proof
% 177.48/27.86 |
% 177.48/27.86 | GROUND_INST: instantiating (2) with all_61_8, unit, e1, e3, simplifying with
% 177.48/27.86 | (1), (4) gives:
% 177.48/27.86 | (7) all_61_8 = unit
% 177.48/27.86 |
% 177.48/27.86 | REDUCE: (6), (7) imply:
% 177.48/27.86 | (8) ~ (unit = e3)
% 177.48/27.86 |
% 177.48/27.86 | REDUCE: (3), (7) imply:
% 177.48/27.86 | (9) op(unit, e3) = unit
% 177.48/27.86 |
% 177.48/27.86 | GROUND_INST: instantiating (2) with e3, unit, e3, unit, simplifying with (5),
% 177.48/27.86 | (9) gives:
% 177.48/27.86 | (10) unit = e3
% 177.48/27.86 |
% 177.48/27.86 | REDUCE: (8), (10) imply:
% 177.48/27.86 | (11) $false
% 177.48/27.86 |
% 177.48/27.86 | CLOSE: (11) is inconsistent.
% 177.48/27.86 |
% 177.48/27.86 End of proof
% 177.48/27.86
% 177.48/27.86 Sub-proof #255 shows that the following formulas are inconsistent:
% 177.48/27.86 ----------------------------------------------------------------
% 177.48/27.86 (1) ~ (all_36_1 = all_22_1)
% 177.48/27.86 (2) ~ (all_22_1 = e1)
% 177.48/27.86 (3) ~ (all_36_1 = e1)
% 177.48/27.86 (4) all_63_13 = e3 | all_63_13 = e2 | all_63_13 = e1 | all_63_13 = e0
% 177.48/27.86 (5) ~ (all_22_1 = e0)
% 177.48/27.86 (6) all_63_13 = all_22_1
% 177.48/27.86 (7) all_63_3 = e3 | all_63_3 = e2 | all_63_3 = e1 | all_63_3 = e0
% 177.48/27.86 (8) ~ (all_22_1 = e2)
% 177.48/27.86 (9) ~ (all_36_1 = e0)
% 177.48/27.86 (10) ~ (all_36_1 = e2)
% 177.48/27.86 (11) all_63_3 = all_36_1
% 177.48/27.86
% 177.48/27.86 Begin of proof
% 177.48/27.86 |
% 177.48/27.86 | BETA: splitting (4) gives:
% 177.48/27.86 |
% 177.48/27.86 | Case 1:
% 177.48/27.86 | |
% 177.48/27.86 | | (12) all_63_13 = e3
% 177.48/27.86 | |
% 177.48/27.86 | | COMBINE_EQS: (6), (12) imply:
% 177.48/27.86 | | (13) all_22_1 = e3
% 177.48/27.86 | |
% 177.48/27.86 | | REDUCE: (1), (13) imply:
% 177.48/27.86 | | (14) ~ (all_36_1 = e3)
% 177.48/27.86 | |
% 177.48/27.86 | | REF_CLOSE: (3), (7), (9), (10), (11), (14) are inconsistent by sub-proof
% 177.48/27.86 | | #446.
% 177.48/27.86 | |
% 177.48/27.86 | Case 2:
% 177.48/27.86 | |
% 177.48/27.86 | | (15) all_63_13 = e2 | all_63_13 = e1 | all_63_13 = e0
% 177.48/27.86 | |
% 177.48/27.86 | | REF_CLOSE: (2), (5), (6), (8), (15) are inconsistent by sub-proof #415.
% 177.48/27.86 | |
% 177.48/27.86 | End of split
% 177.48/27.86 |
% 177.48/27.86 End of proof
% 177.48/27.86
% 177.48/27.86 Sub-proof #256 shows that the following formulas are inconsistent:
% 177.48/27.86 ----------------------------------------------------------------
% 177.48/27.86 (1) op(all_22_1, e2) = e0
% 177.48/27.86 (2) ~ (all_52_1 = all_52_3)
% 177.48/27.86 (3) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 177.48/27.86 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 177.48/27.86 (4) all_58_1 = e0
% 177.48/27.86 (5) all_58_3 = all_52_3
% 177.48/27.86 (6) op(e2, all_52_1) = unit
% 177.48/27.86 (7) all_58_1 = all_52_1
% 177.48/27.86 (8) op(e2, e0) = all_22_1
% 177.48/27.86 (9) all_58_3 = e2
% 177.48/27.86 (10) op(unit, e2) = e2
% 177.48/27.86
% 177.48/27.86 Begin of proof
% 177.48/27.86 |
% 177.48/27.86 | COMBINE_EQS: (4), (7) imply:
% 177.48/27.86 | (11) all_52_1 = e0
% 177.48/27.86 |
% 177.48/27.86 | SIMP: (11) implies:
% 177.48/27.86 | (12) all_52_1 = e0
% 177.48/27.86 |
% 177.48/27.86 | COMBINE_EQS: (5), (9) imply:
% 177.48/27.86 | (13) all_52_3 = e2
% 177.48/27.86 |
% 177.48/27.86 | REF_CLOSE: (1), (2), (3), (6), (8), (10), (12), (13) are inconsistent by
% 177.48/27.86 | sub-proof #406.
% 177.48/27.86 |
% 177.48/27.86 End of proof
% 177.48/27.86
% 177.48/27.86 Sub-proof #257 shows that the following formulas are inconsistent:
% 177.48/27.86 ----------------------------------------------------------------
% 177.48/27.86 (1) ~ (all_58_3 = e1)
% 177.48/27.86 (2) op(e3, all_52_0) = unit
% 177.48/27.86 (3) ~ (all_52_0 = all_52_3)
% 177.48/27.86 (4) ~ (all_52_3 = e2)
% 177.48/27.86 (5) all_58_0 = all_52_0
% 177.48/27.86 (6) ~ (all_61_8 = e0)
% 177.48/27.86 (7) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 177.48/27.86 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 177.48/27.86 (8) op(all_36_1, e3) = e0
% 177.48/27.86 (9) op(e3, e0) = all_36_1
% 177.48/27.86 (10) ~ (all_61_8 = e2)
% 177.48/27.86 (11) op(e0, e0) = e0
% 177.48/27.86 (12) all_63_2 = e3 | all_63_2 = e2 | all_63_2 = e1 | all_63_2 = e0
% 177.48/27.86 (13) op(unit, e3) = e3
% 177.48/27.86 (14) all_56_3 = e3 | all_56_3 = e2 | all_56_3 = e1 | all_56_3 = e0
% 177.48/27.86 (15) all_58_3 = all_52_3
% 177.48/27.86 (16) ~ (all_58_3 = e3) | all_58_0 = e0
% 177.48/27.86 (17) ~ (all_61_8 = all_61_14)
% 177.48/27.86 (18) all_56_3 = all_52_3
% 177.48/27.86 (19) op(e1, e0) = all_61_14
% 177.48/27.86 (20) op(e3, unit) = e3
% 177.48/27.86 (21) op(e1, unit) = e1
% 177.48/27.86 (22) ~ (all_61_8 = all_36_1)
% 177.48/27.86 (23) op(e0, all_52_3) = unit
% 177.48/27.86 (24) all_63_2 = all_61_8
% 177.48/27.86
% 177.48/27.86 Begin of proof
% 177.48/27.86 |
% 177.48/27.86 | REDUCE: (1), (15) imply:
% 177.48/27.86 | (25) ~ (all_52_3 = e1)
% 177.48/27.86 |
% 177.48/27.86 | BETA: splitting (16) gives:
% 177.48/27.86 |
% 177.48/27.86 | Case 1:
% 177.48/27.86 | |
% 177.48/27.86 | | (26) ~ (all_58_3 = e3)
% 177.48/27.86 | |
% 177.48/27.86 | | REDUCE: (15), (26) imply:
% 177.48/27.86 | | (27) ~ (all_52_3 = e3)
% 177.48/27.86 | |
% 177.48/27.86 | | BETA: splitting (14) gives:
% 177.48/27.86 | |
% 177.48/27.86 | | Case 1:
% 177.48/27.86 | | |
% 177.48/27.86 | | | (28) all_56_3 = e3
% 177.48/27.86 | | |
% 177.48/27.86 | | | COMBINE_EQS: (18), (28) imply:
% 177.48/27.86 | | | (29) all_52_3 = e3
% 177.48/27.86 | | |
% 177.48/27.86 | | | REDUCE: (27), (29) imply:
% 177.48/27.86 | | | (30) $false
% 177.48/27.86 | | |
% 177.48/27.86 | | | CLOSE: (30) is inconsistent.
% 177.48/27.86 | | |
% 177.48/27.86 | | Case 2:
% 177.48/27.86 | | |
% 177.48/27.86 | | | (31) all_56_3 = e2 | all_56_3 = e1 | all_56_3 = e0
% 177.48/27.86 | | |
% 177.48/27.86 | | | BETA: splitting (31) gives:
% 177.48/27.86 | | |
% 177.48/27.86 | | | Case 1:
% 177.48/27.86 | | | |
% 177.48/27.86 | | | | (32) all_56_3 = e2
% 177.48/27.86 | | | |
% 177.48/27.86 | | | | COMBINE_EQS: (18), (32) imply:
% 177.48/27.86 | | | | (33) all_52_3 = e2
% 177.48/27.86 | | | |
% 177.48/27.86 | | | | REDUCE: (4), (33) imply:
% 177.48/27.86 | | | | (34) $false
% 177.48/27.86 | | | |
% 177.48/27.86 | | | | CLOSE: (34) is inconsistent.
% 177.48/27.86 | | | |
% 177.48/27.86 | | | Case 2:
% 177.48/27.86 | | | |
% 177.48/27.86 | | | | (35) all_56_3 = e1 | all_56_3 = e0
% 177.48/27.86 | | | |
% 177.48/27.86 | | | | BETA: splitting (35) gives:
% 177.48/27.86 | | | |
% 177.48/27.86 | | | | Case 1:
% 177.48/27.86 | | | | |
% 177.48/27.86 | | | | | (36) all_56_3 = e1
% 177.48/27.86 | | | | |
% 177.48/27.86 | | | | | COMBINE_EQS: (18), (36) imply:
% 177.48/27.86 | | | | | (37) all_52_3 = e1
% 177.48/27.86 | | | | |
% 177.48/27.86 | | | | | REDUCE: (25), (37) imply:
% 177.48/27.86 | | | | | (38) $false
% 177.48/27.86 | | | | |
% 177.48/27.86 | | | | | CLOSE: (38) is inconsistent.
% 177.48/27.86 | | | | |
% 177.48/27.86 | | | | Case 2:
% 177.48/27.86 | | | | |
% 177.48/27.86 | | | | | (39) all_56_3 = e0
% 177.48/27.86 | | | | |
% 177.48/27.86 | | | | | COMBINE_EQS: (18), (39) imply:
% 177.48/27.86 | | | | | (40) all_52_3 = e0
% 177.48/27.86 | | | | |
% 177.48/27.86 | | | | | REDUCE: (23), (40) imply:
% 177.48/27.86 | | | | | (41) op(e0, e0) = unit
% 177.48/27.86 | | | | |
% 177.48/27.86 | | | | | GROUND_INST: instantiating (7) with e0, unit, e0, e0, simplifying with
% 177.48/27.86 | | | | | (11), (41) gives:
% 177.48/27.86 | | | | | (42) unit = e0
% 177.48/27.86 | | | | |
% 177.48/27.86 | | | | | REDUCE: (20), (42) imply:
% 177.48/27.86 | | | | | (43) op(e3, e0) = e3
% 177.48/27.86 | | | | |
% 177.48/27.86 | | | | | REDUCE: (21), (42) imply:
% 177.48/27.86 | | | | | (44) op(e1, e0) = e1
% 177.48/27.86 | | | | |
% 177.48/27.86 | | | | | GROUND_INST: instantiating (7) with all_61_14, e1, e0, e1, simplifying
% 177.48/27.86 | | | | | with (19), (44) gives:
% 177.48/27.86 | | | | | (45) all_61_14 = e1
% 177.48/27.86 | | | | |
% 177.48/27.86 | | | | | GROUND_INST: instantiating (7) with all_36_1, e3, e0, e3, simplifying
% 177.48/27.86 | | | | | with (9), (43) gives:
% 177.48/27.86 | | | | | (46) all_36_1 = e3
% 177.48/27.86 | | | | |
% 177.48/27.86 | | | | | REDUCE: (17), (45) imply:
% 177.48/27.86 | | | | | (47) ~ (all_61_8 = e1)
% 177.48/27.86 | | | | |
% 177.48/27.86 | | | | | REDUCE: (22), (46) imply:
% 177.48/27.86 | | | | | (48) ~ (all_61_8 = e3)
% 177.48/27.86 | | | | |
% 177.48/27.86 | | | | | REF_CLOSE: (6), (10), (12), (24), (47), (48) are inconsistent by
% 177.48/27.86 | | | | | sub-proof #400.
% 177.48/27.86 | | | | |
% 177.48/27.86 | | | | End of split
% 177.48/27.86 | | | |
% 177.48/27.86 | | | End of split
% 177.48/27.86 | | |
% 177.48/27.86 | | End of split
% 177.48/27.86 | |
% 177.48/27.86 | Case 2:
% 177.48/27.86 | |
% 177.48/27.86 | | (49) all_58_3 = e3
% 177.48/27.86 | | (50) all_58_0 = e0
% 177.48/27.86 | |
% 177.48/27.86 | | REF_CLOSE: (2), (3), (5), (7), (8), (9), (13), (15), (49), (50) are
% 177.48/27.86 | | inconsistent by sub-proof #404.
% 177.48/27.86 | |
% 177.48/27.86 | End of split
% 177.48/27.86 |
% 177.48/27.86 End of proof
% 177.48/27.86
% 177.48/27.86 Sub-proof #258 shows that the following formulas are inconsistent:
% 177.48/27.86 ----------------------------------------------------------------
% 177.48/27.86 (1) op(e2, all_42_1) = all_65_67
% 177.48/27.86 (2) ~ (all_42_1 = e1)
% 177.48/27.86 (3) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 177.48/27.86 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 177.48/27.86 (4) op(e0, all_42_1) = e2
% 177.48/27.86 (5) op(e2, unit) = e2
% 177.48/27.86 (6) op(e1, e0) = all_42_1
% 177.48/27.86 (7) ~ (all_42_1 = e2)
% 177.48/27.86 (8) unit = e2 | unit = e1 | unit = e0
% 177.48/27.86 (9) op(e1, e0) = unit
% 177.48/27.86 (10) op(e0, e0) = e1
% 177.48/27.86 (11) op(e1, all_42_1) = all_22_1
% 177.48/27.86 (12) op(e2, e0) = all_22_1
% 177.48/27.86
% 177.48/27.86 Begin of proof
% 177.48/27.86 |
% 177.48/27.86 | GROUND_INST: instantiating (3) with all_42_1, unit, e0, e1, simplifying with
% 177.48/27.86 | (6), (9) gives:
% 177.48/27.86 | (13) all_42_1 = unit
% 177.48/27.86 |
% 177.48/27.86 | REDUCE: (7), (13) imply:
% 177.48/27.86 | (14) ~ (unit = e2)
% 177.48/27.86 |
% 177.48/27.86 | REDUCE: (2), (13) imply:
% 177.48/27.86 | (15) ~ (unit = e1)
% 177.48/27.86 |
% 177.48/27.86 | REDUCE: (1), (13) imply:
% 177.48/27.86 | (16) op(e2, unit) = all_65_67
% 177.48/27.86 |
% 177.48/27.86 | REDUCE: (11), (13) imply:
% 177.48/27.86 | (17) op(e1, unit) = all_22_1
% 177.48/27.86 |
% 177.48/27.86 | REDUCE: (4), (13) imply:
% 177.48/27.86 | (18) op(e0, unit) = e2
% 177.48/27.86 |
% 177.48/27.86 | BETA: splitting (8) gives:
% 177.48/27.86 |
% 177.48/27.86 | Case 1:
% 177.48/27.86 | |
% 177.48/27.86 | | (19) unit = e2
% 177.48/27.86 | |
% 177.48/27.86 | | REDUCE: (14), (19) imply:
% 177.48/27.86 | | (20) $false
% 177.48/27.86 | |
% 177.48/27.86 | | CLOSE: (20) is inconsistent.
% 177.48/27.86 | |
% 177.48/27.86 | Case 2:
% 177.48/27.86 | |
% 177.48/27.86 | | (21) unit = e1 | unit = e0
% 177.48/27.86 | |
% 177.48/27.86 | | BETA: splitting (21) gives:
% 177.48/27.86 | |
% 177.48/27.86 | | Case 1:
% 177.48/27.86 | | |
% 177.48/27.86 | | | (22) unit = e1
% 177.48/27.86 | | |
% 177.48/27.86 | | | REDUCE: (15), (22) imply:
% 177.48/27.86 | | | (23) $false
% 177.48/27.86 | | |
% 177.48/27.86 | | | CLOSE: (23) is inconsistent.
% 177.48/27.86 | | |
% 177.48/27.86 | | Case 2:
% 177.48/27.86 | | |
% 177.48/27.86 | | | (24) unit = e0
% 177.48/27.86 | | |
% 177.48/27.86 | | | REDUCE: (15), (24) imply:
% 177.48/27.86 | | | (25) ~ (e1 = e0)
% 177.48/27.86 | | |
% 177.48/27.86 | | | SIMP: (25) implies:
% 177.48/27.86 | | | (26) ~ (e1 = e0)
% 177.48/27.86 | | |
% 177.48/27.86 | | | REDUCE: (16), (24) imply:
% 177.48/27.86 | | | (27) op(e2, e0) = all_65_67
% 177.48/27.86 | | |
% 177.48/27.86 | | | REDUCE: (5), (24) imply:
% 177.48/27.86 | | | (28) op(e2, e0) = e2
% 177.48/27.86 | | |
% 177.48/27.86 | | | REDUCE: (17), (24) imply:
% 177.48/27.86 | | | (29) op(e1, e0) = all_22_1
% 177.48/27.86 | | |
% 177.48/27.86 | | | REDUCE: (9), (24) imply:
% 177.48/27.86 | | | (30) op(e1, e0) = e0
% 177.48/27.86 | | |
% 177.48/27.86 | | | REDUCE: (18), (24) imply:
% 177.48/27.86 | | | (31) op(e0, e0) = e2
% 177.48/27.86 | | |
% 177.48/27.86 | | | GROUND_INST: instantiating (3) with e1, e2, e0, e0, simplifying with (10),
% 177.48/27.86 | | | (31) gives:
% 177.48/27.86 | | | (32) e2 = e1
% 177.48/27.86 | | |
% 177.48/27.86 | | | GROUND_INST: instantiating (3) with e0, all_22_1, e0, e1, simplifying with
% 177.48/27.86 | | | (29), (30) gives:
% 177.48/27.86 | | | (33) all_22_1 = e0
% 177.48/27.86 | | |
% 177.48/27.86 | | | GROUND_INST: instantiating (3) with all_22_1, all_65_67, e0, e2,
% 177.48/27.86 | | | simplifying with (12), (27) gives:
% 177.48/27.86 | | | (34) all_65_67 = all_22_1
% 177.48/27.86 | | |
% 177.48/27.86 | | | GROUND_INST: instantiating (3) with e2, all_65_67, e0, e2, simplifying
% 177.48/27.86 | | | with (27), (28) gives:
% 177.48/27.86 | | | (35) all_65_67 = e2
% 177.48/27.86 | | |
% 177.48/27.86 | | | COMBINE_EQS: (34), (35) imply:
% 177.48/27.86 | | | (36) all_22_1 = e2
% 177.48/27.86 | | |
% 177.48/27.86 | | | COMBINE_EQS: (33), (36) imply:
% 177.48/27.86 | | | (37) e2 = e0
% 177.48/27.86 | | |
% 177.48/27.86 | | | SIMP: (37) implies:
% 177.48/27.86 | | | (38) e2 = e0
% 177.48/27.86 | | |
% 177.48/27.86 | | | REF_CLOSE: (26), (32), (38) are inconsistent by sub-proof #403.
% 177.48/27.86 | | |
% 177.48/27.86 | | End of split
% 177.48/27.86 | |
% 177.48/27.86 | End of split
% 177.48/27.86 |
% 177.48/27.86 End of proof
% 177.48/27.86
% 177.48/27.86 Sub-proof #259 shows that the following formulas are inconsistent:
% 177.48/27.86 ----------------------------------------------------------------
% 177.48/27.86 (1) op(e2, unit) = all_42_1
% 177.48/27.86 (2) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 177.48/27.86 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 177.48/27.86 (3) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (inv(v2) = v1) |
% 177.48/27.86 ~ (inv(v2) = v0))
% 177.48/27.86 (4) op(e2, unit) = e2
% 177.48/27.86 (5) inv(e1) = e2
% 177.48/27.86 (6) inv(unit) = unit
% 177.48/27.86 (7) op(e1, e0) = all_42_1
% 177.48/27.86 (8) op(unit, e0) = all_65_67
% 177.48/27.86 (9) ~ (unit = e2)
% 177.48/27.87 (10) unit = e2 | unit = e1 | unit = e0
% 177.48/27.87 (11) ~ (unit = e0)
% 177.48/27.87 (12) op(unit, e0) = e0
% 177.48/27.87
% 177.48/27.87 Begin of proof
% 177.48/27.87 |
% 177.48/27.87 | BETA: splitting (10) gives:
% 177.48/27.87 |
% 177.48/27.87 | Case 1:
% 177.48/27.87 | |
% 177.48/27.87 | | (13) unit = e2
% 177.48/27.87 | |
% 177.48/27.87 | | REDUCE: (9), (13) imply:
% 177.48/27.87 | | (14) $false
% 177.48/27.87 | |
% 177.48/27.87 | | CLOSE: (14) is inconsistent.
% 177.48/27.87 | |
% 177.48/27.87 | Case 2:
% 177.48/27.87 | |
% 177.48/27.87 | | (15) unit = e1 | unit = e0
% 177.48/27.87 | |
% 177.48/27.87 | | BETA: splitting (15) gives:
% 177.48/27.87 | |
% 177.48/27.87 | | Case 1:
% 177.48/27.87 | | |
% 177.48/27.87 | | | (16) unit = e1
% 177.48/27.87 | | |
% 177.48/27.87 | | | REDUCE: (11), (16) imply:
% 177.48/27.87 | | | (17) ~ (e1 = e0)
% 177.48/27.87 | | |
% 177.48/27.87 | | | REDUCE: (6), (16) imply:
% 177.48/27.87 | | | (18) inv(e1) = e1
% 177.48/27.87 | | |
% 177.48/27.87 | | | REDUCE: (8), (16) imply:
% 177.48/27.87 | | | (19) op(e1, e0) = all_65_67
% 177.48/27.87 | | |
% 177.48/27.87 | | | REDUCE: (12), (16) imply:
% 177.48/27.87 | | | (20) op(e1, e0) = e0
% 177.48/27.87 | | |
% 177.48/27.87 | | | REDUCE: (1), (16) imply:
% 177.48/27.87 | | | (21) op(e2, e1) = all_42_1
% 177.48/27.87 | | |
% 177.48/27.87 | | | REDUCE: (4), (16) imply:
% 177.48/27.87 | | | (22) op(e2, e1) = e2
% 177.48/27.87 | | |
% 177.48/27.87 | | | GROUND_INST: instantiating (2) with all_42_1, all_65_67, e0, e1,
% 177.48/27.87 | | | simplifying with (7), (19) gives:
% 177.48/27.87 | | | (23) all_65_67 = all_42_1
% 177.48/27.87 | | |
% 177.48/27.87 | | | GROUND_INST: instantiating (2) with e0, all_65_67, e0, e1, simplifying
% 177.48/27.87 | | | with (19), (20) gives:
% 177.48/27.87 | | | (24) all_65_67 = e0
% 177.48/27.87 | | |
% 177.48/27.87 | | | GROUND_INST: instantiating (2) with e2, all_42_1, e1, e2, simplifying with
% 177.48/27.87 | | | (21), (22) gives:
% 177.48/27.87 | | | (25) all_42_1 = e2
% 177.48/27.87 | | |
% 177.48/27.87 | | | GROUND_INST: instantiating (3) with e2, e1, e1, simplifying with (5), (18)
% 177.48/27.87 | | | gives:
% 177.48/27.87 | | | (26) e2 = e1
% 177.48/27.87 | | |
% 177.48/27.87 | | | COMBINE_EQS: (23), (24) imply:
% 177.48/27.87 | | | (27) all_42_1 = e0
% 177.48/27.87 | | |
% 177.48/27.87 | | | SIMP: (27) implies:
% 177.48/27.87 | | | (28) all_42_1 = e0
% 177.48/27.87 | | |
% 177.48/27.87 | | | COMBINE_EQS: (25), (28) imply:
% 177.48/27.87 | | | (29) e2 = e0
% 177.48/27.87 | | |
% 177.48/27.87 | | | SIMP: (29) implies:
% 177.48/27.87 | | | (30) e2 = e0
% 177.48/27.87 | | |
% 177.48/27.87 | | | REF_CLOSE: (17), (26), (30) are inconsistent by sub-proof #403.
% 177.48/27.87 | | |
% 177.48/27.87 | | Case 2:
% 177.48/27.87 | | |
% 177.48/27.87 | | | (31) ~ (unit = e1)
% 177.48/27.87 | | |
% 177.48/27.87 | | | REF_CLOSE: (11), (15), (31) are inconsistent by sub-proof #419.
% 177.48/27.87 | | |
% 177.48/27.87 | | End of split
% 177.48/27.87 | |
% 177.48/27.87 | End of split
% 177.48/27.87 |
% 177.48/27.87 End of proof
% 177.48/27.87
% 177.48/27.87 Sub-proof #260 shows that the following formulas are inconsistent:
% 177.48/27.87 ----------------------------------------------------------------
% 177.48/27.87 (1) op(all_22_1, e1) = all_65_67
% 177.48/27.87 (2) all_56_2 = e3 | all_56_2 = e2 | all_56_2 = e1 | all_56_2 = e0
% 177.48/27.87 (3) all_56_2 = all_52_2
% 177.48/27.87 (4) ~ (all_22_1 = e1)
% 177.48/27.87 (5) ~ (all_58_1 = e3) | all_58_0 = e2
% 177.48/27.87 (6) all_58_0 = all_52_0
% 177.48/27.87 (7) all_56_1 = e3 | all_56_1 = e2 | all_56_1 = e1 | all_56_1 = e0
% 177.48/27.87 (8) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 177.48/27.87 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 177.48/27.87 (9) all_63_7 = e3 | all_63_7 = e2 | all_63_7 = e1 | all_63_7 = e0
% 177.48/27.87 (10) ~ (all_52_2 = e0)
% 177.48/27.87 (11) op(e2, unit) = e2
% 177.48/27.87 (12) op(e1, e1) = e2
% 177.48/27.87 (13) op(all_22_1, e0) = all_10_1
% 177.48/27.87 (14) op(e2, e2) = e0
% 177.48/27.87 (15) ~ (all_52_1 = all_52_2)
% 177.48/27.87 (16) ~ (all_58_3 = e2) | all_58_1 = e0
% 177.48/27.87 (17) op(unit, e1) = e1
% 177.48/27.87 (18) all_56_1 = all_52_1
% 177.48/27.87 (19) all_58_3 = all_52_3
% 177.48/27.87 (20) ~ (all_22_1 = e0)
% 177.48/27.87 (21) ~ (e1 = e0)
% 177.48/27.87 (22) op(e2, all_52_1) = unit
% 177.48/27.87 (23) ~ (all_58_1 = e0) | all_58_3 = e2
% 177.48/27.87 (24) unit = e2 | unit = e1 | unit = e0
% 177.48/27.87 (25) all_58_1 = all_52_1
% 177.48/27.87 (26) ~ (e2 = e0)
% 177.48/27.87 (27) all_63_7 = all_22_1
% 177.48/27.87 (28) ~ (all_58_1 = e1)
% 177.48/27.87 (29) op(e2, e1) = all_10_1
% 177.48/27.87 (30) op(e0, e0) = e1
% 177.48/27.87 (31) op(unit, e0) = e0
% 177.48/27.87 (32) ~ (all_52_0 = all_52_2)
% 177.48/27.87 (33) op(e1, all_52_2) = unit
% 177.48/27.87 (34) op(e2, e0) = all_22_1
% 177.48/27.87 (35) ~ (unit = e3)
% 177.48/27.87 (36) op(e0, unit) = e0
% 177.48/27.87
% 177.48/27.87 Begin of proof
% 177.48/27.87 |
% 177.48/27.87 | REDUCE: (25), (28) imply:
% 177.48/27.87 | (37) ~ (all_52_1 = e1)
% 177.48/27.87 |
% 177.48/27.87 | BETA: splitting (5) gives:
% 177.48/27.87 |
% 177.48/27.87 | Case 1:
% 177.48/27.87 | |
% 177.48/27.87 | | (38) ~ (all_58_1 = e3)
% 177.48/27.87 | |
% 177.48/27.87 | | REDUCE: (25), (38) imply:
% 177.48/27.87 | | (39) ~ (all_52_1 = e3)
% 177.48/27.87 | |
% 177.48/27.87 | | BETA: splitting (16) gives:
% 177.48/27.87 | |
% 177.48/27.87 | | Case 1:
% 177.48/27.87 | | |
% 177.48/27.87 | | | (40) ~ (all_58_3 = e2)
% 177.48/27.87 | | |
% 177.48/27.87 | | | REDUCE: (19), (40) imply:
% 177.48/27.87 | | | (41) ~ (all_52_3 = e2)
% 177.48/27.87 | | |
% 177.48/27.87 | | | REF_CLOSE: (7), (8), (14), (18), (19), (21), (22), (23), (25), (30), (36),
% 177.48/27.87 | | | (37), (39), (41) are inconsistent by sub-proof #263.
% 177.48/27.87 | | |
% 177.48/27.87 | | Case 2:
% 177.48/27.87 | | |
% 177.48/27.87 | | | (42) all_58_1 = e0
% 177.48/27.87 | | |
% 177.48/27.87 | | | COMBINE_EQS: (25), (42) imply:
% 177.48/27.87 | | | (43) all_52_1 = e0
% 177.48/27.87 | | |
% 177.48/27.87 | | | SIMP: (43) implies:
% 177.48/27.87 | | | (44) all_52_1 = e0
% 177.48/27.87 | | |
% 177.48/27.87 | | | REDUCE: (37), (44) imply:
% 177.48/27.87 | | | (45) ~ (e1 = e0)
% 177.48/27.87 | | |
% 177.48/27.87 | | | REDUCE: (22), (44) imply:
% 177.48/27.87 | | | (46) op(e2, e0) = unit
% 177.48/27.87 | | |
% 177.48/27.87 | | | REF_CLOSE: (1), (4), (8), (9), (13), (17), (20), (21), (24), (27), (29),
% 177.48/27.87 | | | (31), (34), (35), (46) are inconsistent by sub-proof #262.
% 177.48/27.87 | | |
% 177.48/27.87 | | End of split
% 177.48/27.87 | |
% 177.48/27.87 | Case 2:
% 177.48/27.87 | |
% 177.48/27.87 | | (47) all_58_1 = e3
% 177.48/27.87 | | (48) all_58_0 = e2
% 177.48/27.87 | |
% 177.48/27.87 | | REF_CLOSE: (2), (3), (6), (8), (10), (11), (12), (14), (15), (25), (26),
% 177.48/27.87 | | (32), (33), (47), (48) are inconsistent by sub-proof #261.
% 177.48/27.87 | |
% 177.48/27.87 | End of split
% 177.48/27.87 |
% 177.48/27.87 End of proof
% 177.48/27.87
% 177.48/27.87 Sub-proof #261 shows that the following formulas are inconsistent:
% 177.48/27.87 ----------------------------------------------------------------
% 177.48/27.87 (1) all_56_2 = e3 | all_56_2 = e2 | all_56_2 = e1 | all_56_2 = e0
% 177.48/27.87 (2) all_56_2 = all_52_2
% 177.48/27.87 (3) all_58_0 = all_52_0
% 177.48/27.87 (4) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 177.48/27.87 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 177.48/27.87 (5) ~ (all_52_2 = e0)
% 177.48/27.87 (6) op(e2, unit) = e2
% 177.48/27.87 (7) all_58_0 = e2
% 177.48/27.87 (8) op(e1, e1) = e2
% 177.48/27.87 (9) op(e2, e2) = e0
% 177.48/27.87 (10) ~ (all_52_1 = all_52_2)
% 177.48/27.87 (11) all_58_1 = all_52_1
% 177.48/27.87 (12) all_58_1 = e3
% 177.48/27.87 (13) ~ (e2 = e0)
% 177.48/27.87 (14) ~ (all_52_0 = all_52_2)
% 177.48/27.87 (15) op(e1, all_52_2) = unit
% 177.48/27.87
% 177.48/27.87 Begin of proof
% 177.48/27.87 |
% 177.48/27.87 | COMBINE_EQS: (3), (7) imply:
% 177.48/27.87 | (16) all_52_0 = e2
% 177.48/27.87 |
% 177.48/27.87 | SIMP: (16) implies:
% 177.48/27.87 | (17) all_52_0 = e2
% 177.48/27.87 |
% 177.48/27.87 | COMBINE_EQS: (11), (12) imply:
% 177.48/27.87 | (18) all_52_1 = e3
% 177.48/27.87 |
% 177.48/27.87 | SIMP: (18) implies:
% 177.48/27.87 | (19) all_52_1 = e3
% 177.48/27.87 |
% 177.48/27.87 | REDUCE: (14), (17) imply:
% 177.48/27.87 | (20) ~ (all_52_2 = e2)
% 177.48/27.87 |
% 177.48/27.87 | SIMP: (20) implies:
% 177.48/27.87 | (21) ~ (all_52_2 = e2)
% 177.48/27.87 |
% 177.48/27.87 | REDUCE: (10), (19) imply:
% 177.48/27.87 | (22) ~ (all_52_2 = e3)
% 177.48/27.87 |
% 177.48/27.87 | SIMP: (22) implies:
% 177.48/27.87 | (23) ~ (all_52_2 = e3)
% 177.48/27.87 |
% 177.48/27.87 | REF_CLOSE: (1), (2), (4), (5), (6), (8), (9), (13), (15), (21), (23) are
% 177.48/27.87 | inconsistent by sub-proof #270.
% 177.48/27.87 |
% 177.48/27.87 End of proof
% 177.48/27.87
% 177.48/27.87 Sub-proof #262 shows that the following formulas are inconsistent:
% 177.48/27.87 ----------------------------------------------------------------
% 177.48/27.87 (1) op(all_22_1, e1) = all_65_67
% 177.48/27.87 (2) ~ (all_22_1 = e1)
% 177.48/27.87 (3) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 177.48/27.87 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 177.48/27.87 (4) all_63_7 = e3 | all_63_7 = e2 | all_63_7 = e1 | all_63_7 = e0
% 177.48/27.87 (5) op(all_22_1, e0) = all_10_1
% 177.48/27.87 (6) op(unit, e1) = e1
% 177.48/27.87 (7) ~ (all_22_1 = e0)
% 177.48/27.87 (8) ~ (e1 = e0)
% 177.48/27.87 (9) unit = e2 | unit = e1 | unit = e0
% 177.48/27.87 (10) all_63_7 = all_22_1
% 177.48/27.87 (11) op(e2, e1) = all_10_1
% 177.48/27.87 (12) op(unit, e0) = e0
% 177.48/27.87 (13) op(e2, e0) = all_22_1
% 177.48/27.87 (14) op(e2, e0) = unit
% 177.48/27.87 (15) ~ (unit = e3)
% 177.48/27.87
% 177.48/27.87 Begin of proof
% 177.48/27.87 |
% 177.48/27.87 | GROUND_INST: instantiating (3) with all_22_1, unit, e0, e2, simplifying with
% 177.48/27.87 | (13), (14) gives:
% 177.48/27.87 | (16) all_22_1 = unit
% 177.48/27.87 |
% 177.48/27.87 | COMBINE_EQS: (10), (16) imply:
% 177.48/27.87 | (17) all_63_7 = unit
% 177.48/27.87 |
% 177.48/27.87 | REDUCE: (2), (16) imply:
% 177.48/27.87 | (18) ~ (unit = e1)
% 177.48/27.87 |
% 177.48/27.87 | REDUCE: (7), (16) imply:
% 177.48/27.87 | (19) ~ (unit = e0)
% 177.48/27.87 |
% 177.48/27.87 | REDUCE: (1), (16) imply:
% 177.48/27.87 | (20) op(unit, e1) = all_65_67
% 177.48/27.87 |
% 177.48/27.87 | REDUCE: (5), (16) imply:
% 177.48/27.87 | (21) op(unit, e0) = all_10_1
% 177.48/27.87 |
% 177.48/27.87 | BETA: splitting (4) gives:
% 177.48/27.87 |
% 177.48/27.87 | Case 1:
% 177.48/27.87 | |
% 177.48/27.87 | | (22) all_63_7 = e3
% 177.48/27.87 | |
% 177.48/27.87 | | COMBINE_EQS: (17), (22) imply:
% 177.48/27.87 | | (23) unit = e3
% 177.48/27.87 | |
% 177.48/27.87 | | REDUCE: (15), (23) imply:
% 177.48/27.87 | | (24) $false
% 177.48/27.87 | |
% 177.48/27.87 | | CLOSE: (24) is inconsistent.
% 177.48/27.87 | |
% 177.48/27.87 | Case 2:
% 177.48/27.87 | |
% 177.48/27.87 | | (25) all_63_7 = e2 | all_63_7 = e1 | all_63_7 = e0
% 177.48/27.87 | |
% 177.48/27.87 | | BETA: splitting (25) gives:
% 177.48/27.87 | |
% 177.48/27.87 | | Case 1:
% 177.48/27.87 | | |
% 177.48/27.87 | | | (26) all_63_7 = e2
% 177.48/27.87 | | |
% 177.48/27.87 | | | COMBINE_EQS: (17), (26) imply:
% 177.48/27.87 | | | (27) unit = e2
% 177.48/27.87 | | |
% 177.48/27.87 | | | REDUCE: (20), (27) imply:
% 177.48/27.87 | | | (28) op(e2, e1) = all_65_67
% 177.48/27.87 | | |
% 177.48/27.87 | | | REDUCE: (6), (27) imply:
% 177.48/27.87 | | | (29) op(e2, e1) = e1
% 177.48/27.87 | | |
% 177.48/27.87 | | | REDUCE: (21), (27) imply:
% 177.48/27.87 | | | (30) op(e2, e0) = all_10_1
% 177.48/27.87 | | |
% 177.48/27.87 | | | REDUCE: (12), (27) imply:
% 177.48/27.87 | | | (31) op(e2, e0) = e0
% 177.48/27.87 | | |
% 177.48/27.87 | | | REDUCE: (14), (27) imply:
% 177.48/27.87 | | | (32) op(e2, e0) = e2
% 177.48/27.87 | | |
% 177.48/27.87 | | | GROUND_INST: instantiating (3) with e2, all_10_1, e0, e2, simplifying with
% 177.48/27.87 | | | (30), (32) gives:
% 177.48/27.87 | | | (33) all_10_1 = e2
% 177.48/27.87 | | |
% 177.48/27.87 | | | GROUND_INST: instantiating (3) with e0, all_10_1, e0, e2, simplifying with
% 177.48/27.87 | | | (30), (31) gives:
% 177.48/27.87 | | | (34) all_10_1 = e0
% 177.48/27.87 | | |
% 177.48/27.87 | | | GROUND_INST: instantiating (3) with all_10_1, all_65_67, e1, e2,
% 177.48/27.87 | | | simplifying with (11), (28) gives:
% 177.48/27.87 | | | (35) all_65_67 = all_10_1
% 177.48/27.87 | | |
% 177.48/27.87 | | | GROUND_INST: instantiating (3) with e1, all_65_67, e1, e2, simplifying
% 177.48/27.87 | | | with (28), (29) gives:
% 177.48/27.87 | | | (36) all_65_67 = e1
% 177.48/27.87 | | |
% 177.48/27.87 | | | COMBINE_EQS: (35), (36) imply:
% 177.48/27.87 | | | (37) all_10_1 = e1
% 177.48/27.87 | | |
% 177.48/27.87 | | | COMBINE_EQS: (33), (37) imply:
% 177.48/27.87 | | | (38) e2 = e1
% 177.48/27.87 | | |
% 177.48/27.87 | | | COMBINE_EQS: (33), (34) imply:
% 177.48/27.87 | | | (39) e2 = e0
% 177.48/27.87 | | |
% 177.48/27.87 | | | REF_CLOSE: (8), (38), (39) are inconsistent by sub-proof #403.
% 177.48/27.87 | | |
% 177.48/27.87 | | Case 2:
% 177.48/27.87 | | |
% 177.48/27.87 | | | (40) ~ (all_63_7 = e2)
% 177.48/27.87 | | |
% 177.48/27.87 | | | REDUCE: (17), (40) imply:
% 177.48/27.87 | | | (41) ~ (unit = e2)
% 177.48/27.87 | | |
% 177.48/27.87 | | | REF_CLOSE: (9), (18), (19), (41) are inconsistent by sub-proof #398.
% 177.48/27.87 | | |
% 177.48/27.87 | | End of split
% 177.48/27.87 | |
% 177.48/27.87 | End of split
% 177.48/27.87 |
% 177.48/27.87 End of proof
% 177.48/27.87
% 177.48/27.87 Sub-proof #263 shows that the following formulas are inconsistent:
% 177.48/27.87 ----------------------------------------------------------------
% 177.48/27.87 (1) ~ (all_52_3 = e2)
% 177.48/27.87 (2) all_56_1 = e3 | all_56_1 = e2 | all_56_1 = e1 | all_56_1 = e0
% 177.48/27.87 (3) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 177.48/27.87 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 177.48/27.87 (4) ~ (all_52_1 = e3)
% 177.48/27.87 (5) op(e2, e2) = e0
% 177.48/27.87 (6) all_56_1 = all_52_1
% 177.48/27.87 (7) all_58_3 = all_52_3
% 177.48/27.87 (8) ~ (e1 = e0)
% 177.48/27.87 (9) op(e2, all_52_1) = unit
% 177.48/27.87 (10) ~ (all_58_1 = e0) | all_58_3 = e2
% 177.48/27.87 (11) all_58_1 = all_52_1
% 177.48/27.87 (12) op(e0, e0) = e1
% 177.48/27.87 (13) ~ (all_52_1 = e1)
% 177.48/27.87 (14) op(e0, unit) = e0
% 177.48/27.87
% 177.48/27.87 Begin of proof
% 177.48/27.87 |
% 177.48/27.87 | BETA: splitting (10) gives:
% 177.48/27.87 |
% 177.48/27.87 | Case 1:
% 177.48/27.87 | |
% 177.48/27.87 | | (15) ~ (all_58_1 = e0)
% 177.48/27.87 | |
% 177.48/27.87 | | REDUCE: (11), (15) imply:
% 177.48/27.87 | | (16) ~ (all_52_1 = e0)
% 177.48/27.87 | |
% 177.48/27.87 | | REF_CLOSE: (2), (3), (4), (5), (6), (8), (9), (12), (13), (14), (16) are
% 177.48/27.87 | | inconsistent by sub-proof #264.
% 177.48/27.87 | |
% 177.48/27.87 | Case 2:
% 177.48/27.87 | |
% 177.48/27.87 | | (17) all_58_3 = e2
% 177.48/27.87 | |
% 177.48/27.87 | | REF_CLOSE: (1), (7), (17) are inconsistent by sub-proof #459.
% 177.48/27.87 | |
% 177.48/27.87 | End of split
% 177.48/27.87 |
% 177.48/27.87 End of proof
% 177.48/27.87
% 177.48/27.87 Sub-proof #264 shows that the following formulas are inconsistent:
% 177.48/27.87 ----------------------------------------------------------------
% 177.48/27.87 (1) all_56_1 = e3 | all_56_1 = e2 | all_56_1 = e1 | all_56_1 = e0
% 177.48/27.87 (2) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 177.48/27.87 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 177.48/27.87 (3) ~ (all_52_1 = e3)
% 177.48/27.87 (4) op(e2, e2) = e0
% 177.48/27.87 (5) all_56_1 = all_52_1
% 177.48/27.87 (6) ~ (e1 = e0)
% 177.48/27.87 (7) op(e2, all_52_1) = unit
% 177.48/27.87 (8) op(e0, e0) = e1
% 177.48/27.87 (9) ~ (all_52_1 = e1)
% 177.48/27.87 (10) op(e0, unit) = e0
% 177.48/27.87 (11) ~ (all_52_1 = e0)
% 177.48/27.87
% 177.48/27.87 Begin of proof
% 177.48/27.87 |
% 177.48/27.87 | BETA: splitting (1) gives:
% 177.48/27.87 |
% 177.48/27.87 | Case 1:
% 177.48/27.87 | |
% 177.48/27.87 | | (12) all_56_1 = e3
% 177.48/27.87 | |
% 177.48/27.87 | | REF_CLOSE: (3), (5), (12) are inconsistent by sub-proof #455.
% 177.48/27.87 | |
% 177.48/27.87 | Case 2:
% 177.48/27.87 | |
% 177.48/27.87 | | (13) all_56_1 = e2 | all_56_1 = e1 | all_56_1 = e0
% 177.48/27.87 | |
% 177.48/27.87 | | BETA: splitting (13) gives:
% 177.48/27.87 | |
% 177.48/27.87 | | Case 1:
% 177.48/27.87 | | |
% 177.48/27.87 | | | (14) all_56_1 = e2
% 177.48/27.87 | | |
% 177.48/27.87 | | | COMBINE_EQS: (5), (14) imply:
% 177.48/27.87 | | | (15) all_52_1 = e2
% 177.48/27.87 | | |
% 177.48/27.87 | | | SIMP: (15) implies:
% 177.48/27.87 | | | (16) all_52_1 = e2
% 177.48/27.87 | | |
% 177.48/27.87 | | | REDUCE: (7), (16) imply:
% 177.48/27.87 | | | (17) op(e2, e2) = unit
% 177.48/27.87 | | |
% 177.48/27.87 | | | GROUND_INST: instantiating (2) with e0, unit, e2, e2, simplifying with
% 177.48/27.87 | | | (4), (17) gives:
% 177.48/27.87 | | | (18) unit = e0
% 177.48/27.87 | | |
% 177.48/27.87 | | | REF_CLOSE: (2), (6), (8), (10), (18) are inconsistent by sub-proof #265.
% 177.48/27.87 | | |
% 177.48/27.87 | | Case 2:
% 177.48/27.87 | | |
% 177.48/27.87 | | | (19) all_56_1 = e1 | all_56_1 = e0
% 177.48/27.87 | | |
% 177.48/27.87 | | | REF_CLOSE: (5), (9), (11), (19) are inconsistent by sub-proof #454.
% 177.48/27.87 | | |
% 177.48/27.87 | | End of split
% 177.48/27.87 | |
% 177.48/27.87 | End of split
% 177.48/27.87 |
% 177.48/27.87 End of proof
% 177.48/27.87
% 177.48/27.87 Sub-proof #265 shows that the following formulas are inconsistent:
% 177.48/27.87 ----------------------------------------------------------------
% 177.48/27.87 (1) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 177.48/27.87 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 177.48/27.87 (2) ~ (e1 = e0)
% 177.48/27.87 (3) unit = e0
% 177.48/27.87 (4) op(e0, e0) = e1
% 177.48/27.87 (5) op(e0, unit) = e0
% 177.48/27.87
% 177.48/27.87 Begin of proof
% 177.48/27.87 |
% 177.48/27.87 | REDUCE: (3), (5) imply:
% 177.48/27.87 | (6) op(e0, e0) = e0
% 177.48/27.87 |
% 177.48/27.87 | GROUND_INST: instantiating (1) with e1, e0, e0, e0, simplifying with (4), (6)
% 177.48/27.87 | gives:
% 177.48/27.87 | (7) e1 = e0
% 177.48/27.87 |
% 177.48/27.87 | REDUCE: (2), (7) imply:
% 177.48/27.87 | (8) $false
% 177.48/27.87 |
% 177.48/27.87 | CLOSE: (8) is inconsistent.
% 177.48/27.87 |
% 177.48/27.87 End of proof
% 177.48/27.87
% 177.48/27.87 Sub-proof #266 shows that the following formulas are inconsistent:
% 177.48/27.87 ----------------------------------------------------------------
% 177.48/27.87 (1) all_63_2 = e2 | all_63_2 = e1 | all_63_2 = e0
% 177.48/27.87 (2) ~ (all_61_14 = e1)
% 177.48/27.87 (3) ~ (all_61_14 = e3)
% 177.48/27.87 (4) ~ (all_61_8 = e2)
% 177.48/27.87 (5) ~ (all_61_8 = all_61_14)
% 177.48/27.87 (6) all_63_14 = e3 | all_63_14 = e2 | all_63_14 = e1 | all_63_14 = e0
% 177.48/27.87 (7) all_63_14 = all_61_14
% 177.48/27.87 (8) ~ (all_61_14 = e2)
% 177.48/27.87 (9) ~ (all_61_8 = e1)
% 177.48/27.87 (10) all_63_2 = all_61_8
% 177.48/27.87
% 177.48/27.87 Begin of proof
% 177.48/27.87 |
% 177.48/27.87 | BETA: splitting (6) gives:
% 177.48/27.87 |
% 177.48/27.87 | Case 1:
% 177.48/27.87 | |
% 177.48/27.87 | | (11) all_63_14 = e3
% 177.48/27.87 | |
% 177.48/27.87 | | COMBINE_EQS: (7), (11) imply:
% 177.48/27.87 | | (12) all_61_14 = e3
% 177.48/27.87 | |
% 177.48/27.87 | | REDUCE: (3), (12) imply:
% 177.48/27.87 | | (13) $false
% 177.48/27.87 | |
% 177.48/27.87 | | CLOSE: (13) is inconsistent.
% 177.48/27.87 | |
% 177.48/27.87 | Case 2:
% 177.48/27.87 | |
% 177.48/27.87 | | (14) all_63_14 = e2 | all_63_14 = e1 | all_63_14 = e0
% 177.48/27.87 | |
% 177.48/27.87 | | BETA: splitting (14) gives:
% 177.48/27.87 | |
% 177.48/27.87 | | Case 1:
% 177.48/27.87 | | |
% 177.48/27.87 | | | (15) all_63_14 = e2
% 177.48/27.87 | | |
% 177.48/27.87 | | | COMBINE_EQS: (7), (15) imply:
% 177.48/27.87 | | | (16) all_61_14 = e2
% 177.48/27.87 | | |
% 177.48/27.87 | | | REDUCE: (8), (16) imply:
% 177.48/27.87 | | | (17) $false
% 177.48/27.87 | | |
% 177.48/27.87 | | | CLOSE: (17) is inconsistent.
% 177.48/27.87 | | |
% 177.48/27.87 | | Case 2:
% 177.48/27.87 | | |
% 177.48/27.87 | | | (18) all_63_14 = e1 | all_63_14 = e0
% 177.48/27.87 | | |
% 177.48/27.87 | | | BETA: splitting (18) gives:
% 177.48/27.87 | | |
% 177.48/27.87 | | | Case 1:
% 177.48/27.87 | | | |
% 177.48/27.87 | | | | (19) all_63_14 = e1
% 177.48/27.87 | | | |
% 177.48/27.87 | | | | COMBINE_EQS: (7), (19) imply:
% 177.48/27.87 | | | | (20) all_61_14 = e1
% 177.48/27.87 | | | |
% 177.48/27.87 | | | | REDUCE: (2), (20) imply:
% 177.48/27.87 | | | | (21) $false
% 177.48/27.87 | | | |
% 177.48/27.87 | | | | CLOSE: (21) is inconsistent.
% 177.48/27.87 | | | |
% 177.48/27.87 | | | Case 2:
% 177.48/27.87 | | | |
% 177.48/27.87 | | | | (22) all_63_14 = e0
% 177.48/27.87 | | | |
% 177.48/27.87 | | | | COMBINE_EQS: (7), (22) imply:
% 177.48/27.87 | | | | (23) all_61_14 = e0
% 177.48/27.87 | | | |
% 177.48/27.87 | | | | REDUCE: (5), (23) imply:
% 177.48/27.87 | | | | (24) ~ (all_61_8 = e0)
% 177.48/27.87 | | | |
% 177.48/27.87 | | | | REF_CLOSE: (1), (4), (9), (10), (24) are inconsistent by sub-proof #401.
% 177.48/27.87 | | | |
% 177.48/27.87 | | | End of split
% 177.48/27.87 | | |
% 177.48/27.87 | | End of split
% 177.48/27.87 | |
% 177.48/27.87 | End of split
% 177.48/27.87 |
% 177.48/27.87 End of proof
% 177.48/27.87
% 177.48/27.87 Sub-proof #267 shows that the following formulas are inconsistent:
% 177.48/27.87 ----------------------------------------------------------------
% 177.48/27.87 (1) ~ (all_22_1 = e1)
% 177.48/27.87 (2) ~ (all_61_4 = e0)
% 177.48/27.87 (3) ~ (all_61_4 = e1)
% 177.48/27.87 (4) all_63_13 = e3 | all_63_13 = e2 | all_63_13 = e1 | all_63_13 = e0
% 177.48/27.87 (5) ~ (all_22_1 = e0)
% 177.48/27.87 (6) all_63_13 = all_22_1
% 177.48/27.87 (7) all_63_1 = all_61_4
% 177.48/27.87 (8) ~ (all_61_4 = e3)
% 177.48/27.87 (9) all_63_1 = e3 | all_63_1 = e2 | all_63_1 = e1 | all_63_1 = e0
% 177.48/27.87 (10) ~ (all_61_4 = all_22_1)
% 177.48/27.87 (11) ~ (all_22_1 = e3)
% 177.48/27.87
% 177.48/27.87 Begin of proof
% 177.48/27.87 |
% 177.48/27.87 | BETA: splitting (4) gives:
% 177.48/27.87 |
% 177.48/27.87 | Case 1:
% 177.48/27.87 | |
% 177.48/27.87 | | (12) all_63_13 = e3
% 177.48/27.87 | |
% 177.48/27.87 | | COMBINE_EQS: (6), (12) imply:
% 177.48/27.87 | | (13) all_22_1 = e3
% 177.48/27.87 | |
% 177.48/27.87 | | REDUCE: (11), (13) imply:
% 177.48/27.87 | | (14) $false
% 177.48/27.87 | |
% 177.48/27.87 | | CLOSE: (14) is inconsistent.
% 177.48/27.87 | |
% 177.48/27.87 | Case 2:
% 177.48/27.87 | |
% 177.48/27.87 | | (15) all_63_13 = e2 | all_63_13 = e1 | all_63_13 = e0
% 177.48/27.87 | |
% 177.48/27.87 | | BETA: splitting (15) gives:
% 177.48/27.87 | |
% 177.48/27.87 | | Case 1:
% 177.48/27.87 | | |
% 177.48/27.87 | | | (16) all_63_13 = e2
% 177.48/27.87 | | |
% 177.48/27.87 | | | COMBINE_EQS: (6), (16) imply:
% 177.48/27.87 | | | (17) all_22_1 = e2
% 177.48/27.87 | | |
% 177.48/27.87 | | | REDUCE: (10), (17) imply:
% 177.48/27.87 | | | (18) ~ (all_61_4 = e2)
% 177.48/27.87 | | |
% 177.48/27.87 | | | REF_CLOSE: (2), (3), (7), (8), (9), (18) are inconsistent by sub-proof
% 177.48/27.87 | | | #418.
% 177.48/27.87 | | |
% 177.48/27.87 | | Case 2:
% 177.48/27.87 | | |
% 177.48/27.87 | | | (19) all_63_13 = e1 | all_63_13 = e0
% 177.48/27.87 | | |
% 177.48/27.87 | | | REF_CLOSE: (1), (5), (6), (19) are inconsistent by sub-proof #416.
% 177.48/27.87 | | |
% 177.48/27.87 | | End of split
% 177.48/27.87 | |
% 177.48/27.87 | End of split
% 177.48/27.87 |
% 177.48/27.87 End of proof
% 177.48/27.87
% 177.48/27.87 Sub-proof #268 shows that the following formulas are inconsistent:
% 177.48/27.87 ----------------------------------------------------------------
% 177.48/27.87 (1) ~ (all_22_1 = e1)
% 177.48/27.87 (2) all_63_3 = all_61_12
% 177.48/27.87 (3) ~ (all_61_14 = e1)
% 177.48/27.87 (4) ~ (all_61_14 = all_22_1)
% 177.48/27.87 (5) all_63_11 = e3 | all_63_11 = e2 | all_63_11 = e1 | all_63_11 = e0
% 177.48/27.87 (6) all_63_13 = e3 | all_63_13 = e2 | all_63_13 = e1 | all_63_13 = e0
% 177.48/27.87 (7) ~ (all_22_1 = e0)
% 177.48/27.87 (8) ~ (all_61_12 = e0)
% 177.48/27.87 (9) all_63_13 = all_22_1
% 177.48/27.87 (10) all_63_3 = e3 | all_63_3 = e2 | all_63_3 = e1 | all_63_3 = e0
% 177.48/27.87 (11) all_63_11 = all_61_14
% 177.48/27.87 (12) ~ (all_61_12 = e1)
% 177.48/27.87 (13) ~ (all_61_12 = all_22_1)
% 177.48/27.87 (14) ~ (all_61_12 = all_61_14)
% 177.48/27.87 (15) ~ (all_61_14 = e2)
% 177.48/27.87 (16) ~ (all_61_14 = e0)
% 177.48/27.87
% 177.48/27.87 Begin of proof
% 177.48/27.87 |
% 177.48/27.87 | BETA: splitting (5) gives:
% 177.48/27.87 |
% 177.48/27.87 | Case 1:
% 177.48/27.87 | |
% 177.48/27.87 | | (17) all_63_11 = e3
% 177.48/27.87 | |
% 177.48/27.87 | | COMBINE_EQS: (11), (17) imply:
% 177.48/27.87 | | (18) all_61_14 = e3
% 177.48/27.87 | |
% 177.48/27.87 | | REDUCE: (14), (18) imply:
% 177.48/27.87 | | (19) ~ (all_61_12 = e3)
% 177.48/27.87 | |
% 177.48/27.87 | | REDUCE: (4), (18) imply:
% 177.48/27.87 | | (20) ~ (all_22_1 = e3)
% 177.48/27.87 | |
% 177.48/27.87 | | SIMP: (20) implies:
% 177.48/27.87 | | (21) ~ (all_22_1 = e3)
% 177.48/27.87 | |
% 177.48/27.87 | | BETA: splitting (10) gives:
% 177.48/27.87 | |
% 177.48/27.87 | | Case 1:
% 177.48/27.87 | | |
% 177.48/27.87 | | | (22) all_63_3 = e3
% 177.48/27.87 | | |
% 177.48/27.87 | | | COMBINE_EQS: (2), (22) imply:
% 177.48/27.87 | | | (23) all_61_12 = e3
% 177.48/27.87 | | |
% 177.48/27.87 | | | REDUCE: (19), (23) imply:
% 177.48/27.87 | | | (24) $false
% 177.48/27.87 | | |
% 177.48/27.87 | | | CLOSE: (24) is inconsistent.
% 177.48/27.87 | | |
% 177.48/27.87 | | Case 2:
% 177.48/27.87 | | |
% 177.48/27.87 | | | (25) all_63_3 = e2 | all_63_3 = e1 | all_63_3 = e0
% 177.48/27.87 | | |
% 177.48/27.87 | | | BETA: splitting (6) gives:
% 177.48/27.87 | | |
% 177.48/27.87 | | | Case 1:
% 177.48/27.87 | | | |
% 177.48/27.87 | | | | (26) all_63_13 = e3
% 177.48/27.87 | | | |
% 177.48/27.87 | | | | COMBINE_EQS: (9), (26) imply:
% 177.48/27.87 | | | | (27) all_22_1 = e3
% 177.48/27.87 | | | |
% 177.48/27.87 | | | | REDUCE: (21), (27) imply:
% 177.48/27.87 | | | | (28) $false
% 177.48/27.87 | | | |
% 177.48/27.87 | | | | CLOSE: (28) is inconsistent.
% 177.48/27.87 | | | |
% 177.48/27.87 | | | Case 2:
% 177.48/27.87 | | | |
% 177.48/27.87 | | | | (29) all_63_13 = e2 | all_63_13 = e1 | all_63_13 = e0
% 177.48/27.87 | | | |
% 177.48/27.87 | | | | BETA: splitting (29) gives:
% 177.48/27.87 | | | |
% 177.48/27.87 | | | | Case 1:
% 177.48/27.87 | | | | |
% 177.48/27.87 | | | | | (30) all_63_13 = e2
% 177.48/27.87 | | | | |
% 177.48/27.87 | | | | | COMBINE_EQS: (9), (30) imply:
% 177.48/27.87 | | | | | (31) all_22_1 = e2
% 177.48/27.87 | | | | |
% 177.48/27.87 | | | | | REDUCE: (13), (31) imply:
% 177.48/27.87 | | | | | (32) ~ (all_61_12 = e2)
% 177.48/27.87 | | | | |
% 177.48/27.87 | | | | | REF_CLOSE: (2), (8), (12), (25), (32) are inconsistent by sub-proof
% 177.48/27.87 | | | | | #489.
% 177.48/27.87 | | | | |
% 177.48/27.87 | | | | Case 2:
% 177.48/27.87 | | | | |
% 177.48/27.87 | | | | | (33) all_63_13 = e1 | all_63_13 = e0
% 177.48/27.87 | | | | |
% 177.48/27.87 | | | | | REF_CLOSE: (1), (7), (9), (33) are inconsistent by sub-proof #416.
% 177.48/27.87 | | | | |
% 177.48/27.87 | | | | End of split
% 177.48/27.87 | | | |
% 177.48/27.87 | | | End of split
% 177.48/27.87 | | |
% 177.48/27.87 | | End of split
% 177.48/27.87 | |
% 177.48/27.87 | Case 2:
% 177.48/27.87 | |
% 177.48/27.87 | | (34) all_63_11 = e2 | all_63_11 = e1 | all_63_11 = e0
% 177.48/27.87 | |
% 177.48/27.87 | | REF_CLOSE: (3), (11), (15), (16), (34) are inconsistent by sub-proof #521.
% 177.48/27.87 | |
% 177.48/27.87 | End of split
% 177.48/27.87 |
% 177.48/27.87 End of proof
% 177.48/27.87
% 177.48/27.87 Sub-proof #269 shows that the following formulas are inconsistent:
% 177.48/27.87 ----------------------------------------------------------------
% 177.48/27.87 (1) ~ (all_58_2 = e0) | all_58_3 = e1
% 177.48/27.87 (2) all_56_2 = e3 | all_56_2 = e2 | all_56_2 = e1 | all_56_2 = e0
% 177.48/27.87 (3) all_56_2 = all_52_2
% 177.48/27.87 (4) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 177.48/27.87 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 177.48/27.87 (5) op(e2, unit) = e2
% 177.48/27.87 (6) op(e1, e1) = e2
% 177.48/27.87 (7) ~ (all_52_2 = e3)
% 177.48/27.87 (8) op(e2, e2) = e0
% 177.48/27.87 (9) all_58_3 = all_52_3
% 177.48/27.87 (10) ~ (all_52_2 = e2)
% 177.48/27.87 (11) all_58_2 = all_52_2
% 177.48/27.87 (12) ~ (all_52_3 = e1)
% 177.48/27.87 (13) ~ (e2 = e0)
% 177.48/27.87 (14) op(e1, all_52_2) = unit
% 177.48/27.87
% 177.48/27.87 Begin of proof
% 177.48/27.87 |
% 177.48/27.87 | BETA: splitting (1) gives:
% 177.48/27.87 |
% 177.48/27.87 | Case 1:
% 177.48/27.87 | |
% 177.48/27.87 | | (15) ~ (all_58_2 = e0)
% 177.48/27.87 | |
% 177.48/27.87 | | REDUCE: (11), (15) imply:
% 177.48/27.87 | | (16) ~ (all_52_2 = e0)
% 177.48/27.87 | |
% 177.48/27.87 | | REF_CLOSE: (2), (3), (4), (5), (6), (7), (8), (10), (13), (14), (16) are
% 177.48/27.87 | | inconsistent by sub-proof #270.
% 177.48/27.87 | |
% 177.48/27.87 | Case 2:
% 177.48/27.87 | |
% 177.48/27.87 | | (17) all_58_3 = e1
% 177.48/27.87 | |
% 177.48/27.87 | | REF_CLOSE: (9), (12), (17) are inconsistent by sub-proof #460.
% 177.48/27.87 | |
% 177.48/27.87 | End of split
% 177.48/27.87 |
% 177.48/27.87 End of proof
% 177.48/27.87
% 177.48/27.87 Sub-proof #270 shows that the following formulas are inconsistent:
% 177.48/27.87 ----------------------------------------------------------------
% 177.48/27.87 (1) all_56_2 = e3 | all_56_2 = e2 | all_56_2 = e1 | all_56_2 = e0
% 177.48/27.87 (2) all_56_2 = all_52_2
% 177.48/27.87 (3) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 177.48/27.87 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 177.48/27.87 (4) ~ (all_52_2 = e0)
% 177.48/27.87 (5) op(e2, unit) = e2
% 177.48/27.87 (6) op(e1, e1) = e2
% 177.48/27.87 (7) ~ (all_52_2 = e3)
% 177.48/27.87 (8) op(e2, e2) = e0
% 177.48/27.87 (9) ~ (all_52_2 = e2)
% 177.48/27.87 (10) ~ (e2 = e0)
% 177.48/27.87 (11) op(e1, all_52_2) = unit
% 177.48/27.87
% 177.48/27.87 Begin of proof
% 177.48/27.87 |
% 177.48/27.87 | BETA: splitting (1) gives:
% 177.48/27.87 |
% 177.48/27.87 | Case 1:
% 177.48/27.87 | |
% 177.48/27.88 | | (12) all_56_2 = e3
% 177.48/27.88 | |
% 177.48/27.88 | | COMBINE_EQS: (2), (12) imply:
% 177.48/27.88 | | (13) all_52_2 = e3
% 177.48/27.88 | |
% 177.48/27.88 | | REDUCE: (7), (13) imply:
% 177.48/27.88 | | (14) $false
% 177.48/27.88 | |
% 177.48/27.88 | | CLOSE: (14) is inconsistent.
% 177.48/27.88 | |
% 177.48/27.88 | Case 2:
% 177.48/27.88 | |
% 177.48/27.88 | | (15) all_56_2 = e2 | all_56_2 = e1 | all_56_2 = e0
% 177.48/27.88 | |
% 177.48/27.88 | | BETA: splitting (15) gives:
% 177.48/27.88 | |
% 177.48/27.88 | | Case 1:
% 177.48/27.88 | | |
% 177.48/27.88 | | | (16) all_56_2 = e2
% 177.48/27.88 | | |
% 177.48/27.88 | | | COMBINE_EQS: (2), (16) imply:
% 177.48/27.88 | | | (17) all_52_2 = e2
% 177.48/27.88 | | |
% 177.48/27.88 | | | REDUCE: (9), (17) imply:
% 177.48/27.88 | | | (18) $false
% 177.48/27.88 | | |
% 177.48/27.88 | | | CLOSE: (18) is inconsistent.
% 177.48/27.88 | | |
% 177.48/27.88 | | Case 2:
% 177.48/27.88 | | |
% 177.48/27.88 | | | (19) all_56_2 = e1 | all_56_2 = e0
% 177.48/27.88 | | |
% 177.48/27.88 | | | BETA: splitting (19) gives:
% 177.48/27.88 | | |
% 177.48/27.88 | | | Case 1:
% 177.48/27.88 | | | |
% 177.48/27.88 | | | | (20) all_56_2 = e1
% 177.48/27.88 | | | |
% 177.48/27.88 | | | | COMBINE_EQS: (2), (20) imply:
% 177.48/27.88 | | | | (21) all_52_2 = e1
% 177.48/27.88 | | | |
% 177.48/27.88 | | | | REDUCE: (11), (21) imply:
% 177.48/27.88 | | | | (22) op(e1, e1) = unit
% 177.48/27.88 | | | |
% 177.48/27.88 | | | | GROUND_INST: instantiating (3) with e2, unit, e1, e1, simplifying with
% 177.48/27.88 | | | | (6), (22) gives:
% 177.48/27.88 | | | | (23) unit = e2
% 177.48/27.88 | | | |
% 177.48/27.88 | | | | REF_CLOSE: (3), (5), (8), (10), (23) are inconsistent by sub-proof #375.
% 177.48/27.88 | | | |
% 177.48/27.88 | | | Case 2:
% 177.48/27.88 | | | |
% 177.48/27.88 | | | | (24) all_56_2 = e0
% 177.48/27.88 | | | |
% 177.48/27.88 | | | | COMBINE_EQS: (2), (24) imply:
% 177.48/27.88 | | | | (25) all_52_2 = e0
% 177.48/27.88 | | | |
% 177.48/27.88 | | | | REDUCE: (4), (25) imply:
% 177.48/27.88 | | | | (26) $false
% 177.48/27.88 | | | |
% 177.48/27.88 | | | | CLOSE: (26) is inconsistent.
% 177.48/27.88 | | | |
% 177.48/27.88 | | | End of split
% 177.48/27.88 | | |
% 177.48/27.88 | | End of split
% 177.48/27.88 | |
% 177.48/27.88 | End of split
% 177.48/27.88 |
% 177.48/27.88 End of proof
% 177.48/27.88
% 177.48/27.88 Sub-proof #271 shows that the following formulas are inconsistent:
% 177.48/27.88 ----------------------------------------------------------------
% 177.48/27.88 (1) all_63_6 = all_10_1
% 177.48/27.88 (2) all_63_6 = e3 | all_63_6 = e2 | all_63_6 = e1 | all_63_6 = e0
% 177.48/27.88 (3) ~ (all_10_1 = e3)
% 177.48/27.88 (4) ~ (all_10_1 = e0)
% 177.48/27.88 (5) ~ (all_61_14 = all_10_1)
% 177.48/27.88 (6) all_63_14 = e2 | all_63_14 = e1 | all_63_14 = e0
% 177.48/27.88 (7) all_63_14 = all_61_14
% 177.48/27.88 (8) ~ (all_61_14 = e2)
% 177.48/27.88 (9) ~ (all_61_14 = e0)
% 177.48/27.88 (10) ~ (all_10_1 = e2)
% 177.48/27.88
% 177.48/27.88 Begin of proof
% 177.48/27.88 |
% 177.48/27.88 | BETA: splitting (6) gives:
% 177.48/27.88 |
% 177.48/27.88 | Case 1:
% 177.48/27.88 | |
% 177.48/27.88 | | (11) all_63_14 = e2
% 177.48/27.88 | |
% 177.48/27.88 | | COMBINE_EQS: (7), (11) imply:
% 177.48/27.88 | | (12) all_61_14 = e2
% 177.48/27.88 | |
% 177.48/27.88 | | REDUCE: (8), (12) imply:
% 177.48/27.88 | | (13) $false
% 177.48/27.88 | |
% 177.48/27.88 | | CLOSE: (13) is inconsistent.
% 177.48/27.88 | |
% 177.48/27.88 | Case 2:
% 177.48/27.88 | |
% 177.48/27.88 | | (14) all_63_14 = e1 | all_63_14 = e0
% 177.48/27.88 | |
% 177.48/27.88 | | BETA: splitting (14) gives:
% 177.48/27.88 | |
% 177.48/27.88 | | Case 1:
% 177.48/27.88 | | |
% 177.48/27.88 | | | (15) all_63_14 = e1
% 177.48/27.88 | | |
% 177.48/27.88 | | | COMBINE_EQS: (7), (15) imply:
% 177.62/27.88 | | | (16) all_61_14 = e1
% 177.62/27.88 | | |
% 177.62/27.88 | | | REDUCE: (5), (16) imply:
% 177.62/27.88 | | | (17) ~ (all_10_1 = e1)
% 177.62/27.88 | | |
% 177.62/27.88 | | | SIMP: (17) implies:
% 177.62/27.88 | | | (18) ~ (all_10_1 = e1)
% 177.62/27.88 | | |
% 177.62/27.88 | | | REF_CLOSE: (1), (2), (3), (4), (10), (18) are inconsistent by sub-proof
% 177.62/27.88 | | | #287.
% 177.62/27.88 | | |
% 177.62/27.88 | | Case 2:
% 177.62/27.88 | | |
% 177.62/27.88 | | | (19) all_63_14 = e0
% 177.62/27.88 | | |
% 177.62/27.88 | | | COMBINE_EQS: (7), (19) imply:
% 177.62/27.88 | | | (20) all_61_14 = e0
% 177.62/27.88 | | |
% 177.62/27.88 | | | REDUCE: (9), (20) imply:
% 177.62/27.88 | | | (21) $false
% 177.62/27.88 | | |
% 177.62/27.88 | | | CLOSE: (21) is inconsistent.
% 177.62/27.88 | | |
% 177.62/27.88 | | End of split
% 177.62/27.88 | |
% 177.62/27.88 | End of split
% 177.62/27.88 |
% 177.62/27.88 End of proof
% 177.62/27.88
% 177.62/27.88 Sub-proof #272 shows that the following formulas are inconsistent:
% 177.62/27.88 ----------------------------------------------------------------
% 177.62/27.88 (1) all_63_14 = unit
% 177.62/27.88 (2) all_63_14 = e2
% 177.62/27.88 (3) ~ (unit = e2)
% 177.62/27.88
% 177.62/27.88 Begin of proof
% 177.62/27.88 |
% 177.62/27.88 | COMBINE_EQS: (1), (2) imply:
% 177.62/27.88 | (4) unit = e2
% 177.62/27.88 |
% 177.62/27.88 | SIMP: (4) implies:
% 177.62/27.88 | (5) unit = e2
% 177.62/27.88 |
% 177.62/27.88 | REDUCE: (3), (5) imply:
% 177.62/27.88 | (6) $false
% 177.62/27.88 |
% 177.62/27.88 | CLOSE: (6) is inconsistent.
% 177.62/27.88 |
% 177.62/27.88 End of proof
% 177.62/27.88
% 177.62/27.88 Sub-proof #273 shows that the following formulas are inconsistent:
% 177.62/27.88 ----------------------------------------------------------------
% 177.62/27.88 (1) all_63_14 = unit
% 177.62/27.88 (2) all_63_14 = e3
% 177.62/27.88 (3) ~ (unit = e3)
% 177.62/27.88
% 177.62/27.88 Begin of proof
% 177.62/27.88 |
% 177.62/27.88 | COMBINE_EQS: (1), (2) imply:
% 177.62/27.88 | (4) unit = e3
% 177.62/27.88 |
% 177.62/27.88 | SIMP: (4) implies:
% 177.62/27.88 | (5) unit = e3
% 177.62/27.88 |
% 177.62/27.88 | REDUCE: (3), (5) imply:
% 177.62/27.88 | (6) $false
% 177.62/27.88 |
% 177.62/27.88 | CLOSE: (6) is inconsistent.
% 177.62/27.88 |
% 177.62/27.88 End of proof
% 177.62/27.88
% 177.62/27.88 Sub-proof #274 shows that the following formulas are inconsistent:
% 177.62/27.88 ----------------------------------------------------------------
% 177.62/27.88 (1) all_56_2 = e3 | all_56_2 = e2 | all_56_2 = e1 | all_56_2 = e0
% 177.62/27.88 (2) all_56_2 = all_52_2
% 177.62/27.88 (3) ~ (all_58_3 = e1)
% 177.62/27.88 (4) ~ (all_52_3 = e3)
% 177.62/27.88 (5) ~ (all_52_3 = e2)
% 177.62/27.88 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 177.62/27.88 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 177.62/27.88 (7) op(e1, e1) = e2
% 177.62/27.88 (8) ~ (all_52_2 = e3)
% 177.62/27.88 (9) all_56_3 = e3 | all_56_3 = e2 | all_56_3 = e1 | all_56_3 = e0
% 177.62/27.88 (10) all_58_3 = all_52_3
% 177.62/27.88 (11) ~ (all_52_2 = e2)
% 177.62/27.88 (12) all_56_3 = all_52_3
% 177.62/27.88 (13) op(e0, e0) = e1
% 177.62/27.88 (14) op(e1, all_52_2) = unit
% 177.62/27.88 (15) op(e0, all_52_3) = unit
% 177.62/27.88 (16) ~ (all_52_2 = all_52_3)
% 177.62/27.88
% 177.62/27.88 Begin of proof
% 177.62/27.88 |
% 177.62/27.88 | REDUCE: (3), (10) imply:
% 177.62/27.88 | (17) ~ (all_52_3 = e1)
% 177.62/27.88 |
% 177.62/27.88 | BETA: splitting (9) gives:
% 177.62/27.88 |
% 177.62/27.88 | Case 1:
% 177.62/27.88 | |
% 177.62/27.88 | | (18) all_56_3 = e3
% 177.62/27.88 | |
% 177.62/27.88 | | COMBINE_EQS: (12), (18) imply:
% 177.62/27.88 | | (19) all_52_3 = e3
% 177.62/27.88 | |
% 177.62/27.88 | | REDUCE: (4), (19) imply:
% 177.62/27.88 | | (20) $false
% 177.62/27.88 | |
% 177.62/27.88 | | CLOSE: (20) is inconsistent.
% 177.62/27.88 | |
% 177.62/27.88 | Case 2:
% 177.62/27.88 | |
% 177.62/27.88 | | (21) all_56_3 = e2 | all_56_3 = e1 | all_56_3 = e0
% 177.62/27.88 | |
% 177.62/27.88 | | BETA: splitting (21) gives:
% 177.62/27.88 | |
% 177.62/27.88 | | Case 1:
% 177.62/27.88 | | |
% 177.62/27.88 | | | (22) all_56_3 = e2
% 177.62/27.88 | | |
% 177.62/27.88 | | | COMBINE_EQS: (12), (22) imply:
% 177.62/27.88 | | | (23) all_52_3 = e2
% 177.62/27.88 | | |
% 177.62/27.88 | | | REDUCE: (5), (23) imply:
% 177.62/27.88 | | | (24) $false
% 177.62/27.88 | | |
% 177.62/27.88 | | | CLOSE: (24) is inconsistent.
% 177.62/27.88 | | |
% 177.62/27.88 | | Case 2:
% 177.62/27.88 | | |
% 177.62/27.88 | | | (25) all_56_3 = e1 | all_56_3 = e0
% 177.62/27.88 | | |
% 177.62/27.88 | | | BETA: splitting (25) gives:
% 177.62/27.88 | | |
% 177.62/27.88 | | | Case 1:
% 177.62/27.88 | | | |
% 177.62/27.88 | | | | (26) all_56_3 = e1
% 177.62/27.88 | | | |
% 177.62/27.88 | | | | COMBINE_EQS: (12), (26) imply:
% 177.62/27.88 | | | | (27) all_52_3 = e1
% 177.62/27.88 | | | |
% 177.62/27.88 | | | | REDUCE: (17), (27) imply:
% 177.62/27.88 | | | | (28) $false
% 177.62/27.88 | | | |
% 177.62/27.88 | | | | CLOSE: (28) is inconsistent.
% 177.62/27.88 | | | |
% 177.62/27.88 | | | Case 2:
% 177.62/27.88 | | | |
% 177.62/27.88 | | | | (29) all_56_3 = e0
% 177.62/27.88 | | | |
% 177.62/27.88 | | | | COMBINE_EQS: (12), (29) imply:
% 177.62/27.88 | | | | (30) all_52_3 = e0
% 177.62/27.88 | | | |
% 177.62/27.88 | | | | REDUCE: (16), (30) imply:
% 177.62/27.88 | | | | (31) ~ (all_52_2 = e0)
% 177.62/27.88 | | | |
% 177.62/27.88 | | | | REDUCE: (15), (30) imply:
% 177.62/27.88 | | | | (32) op(e0, e0) = unit
% 177.62/27.88 | | | |
% 177.62/27.88 | | | | BETA: splitting (1) gives:
% 177.62/27.88 | | | |
% 177.62/27.88 | | | | Case 1:
% 177.62/27.88 | | | | |
% 177.62/27.88 | | | | | (33) all_56_2 = e3
% 177.62/27.88 | | | | |
% 177.62/27.88 | | | | | COMBINE_EQS: (2), (33) imply:
% 177.62/27.88 | | | | | (34) all_52_2 = e3
% 177.62/27.88 | | | | |
% 177.62/27.88 | | | | | REDUCE: (8), (34) imply:
% 177.62/27.88 | | | | | (35) $false
% 177.62/27.88 | | | | |
% 177.62/27.88 | | | | | CLOSE: (35) is inconsistent.
% 177.62/27.88 | | | | |
% 177.62/27.88 | | | | Case 2:
% 177.62/27.88 | | | | |
% 177.62/27.88 | | | | | (36) all_56_2 = e2 | all_56_2 = e1 | all_56_2 = e0
% 177.62/27.88 | | | | |
% 177.62/27.88 | | | | | BETA: splitting (36) gives:
% 177.62/27.88 | | | | |
% 177.62/27.88 | | | | | Case 1:
% 177.62/27.88 | | | | | |
% 177.62/27.88 | | | | | | (37) all_56_2 = e2
% 177.62/27.88 | | | | | |
% 177.62/27.88 | | | | | | COMBINE_EQS: (2), (37) imply:
% 177.62/27.88 | | | | | | (38) all_52_2 = e2
% 177.62/27.88 | | | | | |
% 177.62/27.88 | | | | | | REDUCE: (11), (38) imply:
% 177.62/27.88 | | | | | | (39) $false
% 177.62/27.88 | | | | | |
% 177.62/27.88 | | | | | | CLOSE: (39) is inconsistent.
% 177.62/27.88 | | | | | |
% 177.62/27.88 | | | | | Case 2:
% 177.62/27.88 | | | | | |
% 177.62/27.88 | | | | | | (40) ~ (all_56_2 = e2)
% 177.62/27.88 | | | | | | (41) all_56_2 = e1 | all_56_2 = e0
% 177.62/27.88 | | | | | |
% 177.62/27.88 | | | | | | BETA: splitting (41) gives:
% 177.62/27.88 | | | | | |
% 177.62/27.88 | | | | | | Case 1:
% 177.62/27.88 | | | | | | |
% 177.62/27.88 | | | | | | | (42) all_56_2 = e1
% 177.62/27.88 | | | | | | |
% 177.62/27.88 | | | | | | | COMBINE_EQS: (2), (42) imply:
% 177.62/27.88 | | | | | | | (43) all_52_2 = e1
% 177.62/27.88 | | | | | | |
% 177.62/27.88 | | | | | | | REDUCE: (11), (43) imply:
% 177.62/27.88 | | | | | | | (44) ~ (e2 = e1)
% 177.62/27.88 | | | | | | |
% 177.62/27.88 | | | | | | | SIMP: (44) implies:
% 177.62/27.88 | | | | | | | (45) ~ (e2 = e1)
% 177.62/27.88 | | | | | | |
% 177.62/27.88 | | | | | | | REDUCE: (14), (43) imply:
% 177.62/27.88 | | | | | | | (46) op(e1, e1) = unit
% 177.62/27.88 | | | | | | |
% 177.62/27.88 | | | | | | | GROUND_INST: instantiating (6) with e1, unit, e0, e0, simplifying
% 177.62/27.88 | | | | | | | with (13), (32) gives:
% 177.62/27.88 | | | | | | | (47) unit = e1
% 177.62/27.88 | | | | | | |
% 177.62/27.88 | | | | | | | GROUND_INST: instantiating (6) with e2, unit, e1, e1, simplifying
% 177.62/27.88 | | | | | | | with (7), (46) gives:
% 177.62/27.88 | | | | | | | (48) unit = e2
% 177.62/27.88 | | | | | | |
% 177.62/27.88 | | | | | | | REF_CLOSE: (45), (47), (48) are inconsistent by sub-proof #384.
% 177.62/27.88 | | | | | | |
% 177.62/27.88 | | | | | | Case 2:
% 177.62/27.88 | | | | | | |
% 177.62/27.88 | | | | | | | (49) all_56_2 = e0
% 177.62/27.88 | | | | | | |
% 177.62/27.88 | | | | | | | COMBINE_EQS: (2), (49) imply:
% 177.62/27.88 | | | | | | | (50) all_52_2 = e0
% 177.62/27.88 | | | | | | |
% 177.62/27.88 | | | | | | | REDUCE: (31), (50) imply:
% 177.62/27.88 | | | | | | | (51) $false
% 177.62/27.88 | | | | | | |
% 177.62/27.88 | | | | | | | CLOSE: (51) is inconsistent.
% 177.62/27.88 | | | | | | |
% 177.62/27.88 | | | | | | End of split
% 177.62/27.88 | | | | | |
% 177.62/27.88 | | | | | End of split
% 177.62/27.88 | | | | |
% 177.62/27.88 | | | | End of split
% 177.62/27.88 | | | |
% 177.62/27.88 | | | End of split
% 177.62/27.88 | | |
% 177.62/27.88 | | End of split
% 177.62/27.88 | |
% 177.62/27.88 | End of split
% 177.62/27.88 |
% 177.62/27.88 End of proof
% 177.62/27.88
% 177.62/27.88 Sub-proof #275 shows that the following formulas are inconsistent:
% 177.62/27.88 ----------------------------------------------------------------
% 177.62/27.88 (1) ~ (all_61_8 = e0)
% 177.62/27.88 (2) all_63_2 = e1 | all_63_2 = e0
% 177.62/27.88 (3) all_63_12 = e1 | all_63_12 = e0
% 177.62/27.88 (4) all_63_12 = all_36_1
% 177.62/27.88 (5) ~ (all_36_1 = e0)
% 177.62/27.88 (6) ~ (all_61_8 = all_36_1)
% 177.62/27.88 (7) all_63_2 = all_61_8
% 177.62/27.88
% 177.62/27.88 Begin of proof
% 177.62/27.88 |
% 177.62/27.88 | BETA: splitting (3) gives:
% 177.62/27.88 |
% 177.62/27.88 | Case 1:
% 177.62/27.88 | |
% 177.62/27.88 | | (8) all_63_12 = e1
% 177.62/27.88 | |
% 177.62/27.88 | | COMBINE_EQS: (4), (8) imply:
% 177.62/27.88 | | (9) all_36_1 = e1
% 177.62/27.88 | |
% 177.62/27.88 | | REDUCE: (6), (9) imply:
% 177.62/27.88 | | (10) ~ (all_61_8 = e1)
% 177.62/27.88 | |
% 177.62/27.88 | | REF_CLOSE: (1), (2), (7), (10) are inconsistent by sub-proof #402.
% 177.62/27.88 | |
% 177.62/27.88 | Case 2:
% 177.62/27.88 | |
% 177.62/27.88 | | (11) all_63_12 = e0
% 177.62/27.88 | |
% 177.62/27.88 | | COMBINE_EQS: (4), (11) imply:
% 177.62/27.88 | | (12) all_36_1 = e0
% 177.62/27.88 | |
% 177.62/27.88 | | REDUCE: (5), (12) imply:
% 177.62/27.88 | | (13) $false
% 177.62/27.88 | |
% 177.62/27.88 | | CLOSE: (13) is inconsistent.
% 177.62/27.88 | |
% 177.62/27.88 | End of split
% 177.62/27.88 |
% 177.62/27.88 End of proof
% 177.62/27.88
% 177.62/27.88 Sub-proof #276 shows that the following formulas are inconsistent:
% 177.62/27.88 ----------------------------------------------------------------
% 177.62/27.88 (1) all_63_7 = all_61_13
% 177.62/27.88 (2) all_63_7 = e0
% 177.62/27.88 (3) ~ (all_61_13 = e0)
% 177.62/27.88
% 177.62/27.88 Begin of proof
% 177.62/27.88 |
% 177.62/27.88 | COMBINE_EQS: (1), (2) imply:
% 177.62/27.88 | (4) all_61_13 = e0
% 177.62/27.88 |
% 177.62/27.88 | SIMP: (4) implies:
% 177.62/27.88 | (5) all_61_13 = e0
% 177.62/27.88 |
% 177.62/27.88 | REDUCE: (3), (5) imply:
% 177.62/27.88 | (6) $false
% 177.62/27.88 |
% 177.62/27.88 | CLOSE: (6) is inconsistent.
% 177.62/27.88 |
% 177.62/27.88 End of proof
% 177.62/27.88
% 177.62/27.88 Sub-proof #277 shows that the following formulas are inconsistent:
% 177.62/27.88 ----------------------------------------------------------------
% 177.62/27.88 (1) ~ (all_61_8 = e0)
% 177.62/27.88 (2) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 177.62/27.88 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 177.62/27.88 (3) op(e3, e2) = e3
% 177.62/27.88 (4) ~ (all_61_8 = e2)
% 177.62/27.88 (5) ~ (all_61_4 = all_61_8)
% 177.62/27.88 (6) all_63_2 = e3 | all_63_2 = e2 | all_63_2 = e1 | all_63_2 = e0
% 177.62/27.88 (7) op(e2, e1) = e1
% 177.62/27.88 (8) ~ (all_36_1 = e2) | ( ~ (all_36_0 = e1) & op(e2, e3) = all_36_0 &
% 177.62/27.88 $i(all_36_0))
% 177.62/27.88 (9) op(e2, e1) = all_10_1
% 177.62/27.88 (10) ~ (all_61_8 = all_10_1)
% 177.62/27.88 (11) all_36_1 = e2
% 177.62/27.88 (12) op(e3, e2) = all_61_4
% 177.62/27.88 (13) all_63_2 = all_61_8
% 177.62/27.88
% 177.62/27.88 Begin of proof
% 177.62/27.88 |
% 177.62/27.88 | BETA: splitting (8) gives:
% 177.62/27.88 |
% 177.62/27.88 | Case 1:
% 177.62/27.88 | |
% 177.62/27.88 | | (14) ~ (all_36_1 = e2)
% 177.62/27.88 | |
% 177.62/27.88 | | REDUCE: (11), (14) imply:
% 177.62/27.88 | | (15) $false
% 177.62/27.88 | |
% 177.62/27.88 | | CLOSE: (15) is inconsistent.
% 177.62/27.88 | |
% 177.62/27.88 | Case 2:
% 177.62/27.88 | |
% 177.62/27.88 | |
% 177.62/27.88 | | GROUND_INST: instantiating (2) with all_10_1, e1, e1, e2, simplifying with
% 177.62/27.88 | | (7), (9) gives:
% 177.62/27.88 | | (16) all_10_1 = e1
% 177.62/27.88 | |
% 177.62/27.88 | | GROUND_INST: instantiating (2) with all_61_4, e3, e2, e3, simplifying with
% 177.62/27.88 | | (3), (12) gives:
% 177.62/27.88 | | (17) all_61_4 = e3
% 177.62/27.88 | |
% 177.62/27.88 | | REDUCE: (5), (17) imply:
% 177.62/27.88 | | (18) ~ (all_61_8 = e3)
% 177.62/27.88 | |
% 177.62/27.88 | | SIMP: (18) implies:
% 177.62/27.88 | | (19) ~ (all_61_8 = e3)
% 177.62/27.88 | |
% 177.62/27.88 | | REDUCE: (10), (16) imply:
% 177.62/27.88 | | (20) ~ (all_61_8 = e1)
% 177.62/27.88 | |
% 177.62/27.88 | | REF_CLOSE: (1), (4), (6), (13), (19), (20) are inconsistent by sub-proof
% 177.62/27.88 | | #400.
% 177.62/27.88 | |
% 177.62/27.88 | End of split
% 177.62/27.88 |
% 177.62/27.88 End of proof
% 177.62/27.88
% 177.62/27.88 Sub-proof #278 shows that the following formulas are inconsistent:
% 177.62/27.88 ----------------------------------------------------------------
% 177.62/27.88 (1) all_63_7 = all_61_13
% 177.62/27.88 (2) all_63_7 = e2
% 177.62/27.88 (3) ~ (all_61_13 = e2)
% 177.62/27.88
% 177.62/27.88 Begin of proof
% 177.62/27.88 |
% 177.62/27.88 | COMBINE_EQS: (1), (2) imply:
% 177.62/27.88 | (4) all_61_13 = e2
% 177.62/27.88 |
% 177.62/27.88 | SIMP: (4) implies:
% 177.62/27.88 | (5) all_61_13 = e2
% 177.62/27.88 |
% 177.62/27.88 | REDUCE: (3), (5) imply:
% 177.62/27.88 | (6) $false
% 177.62/27.88 |
% 177.62/27.88 | CLOSE: (6) is inconsistent.
% 177.62/27.88 |
% 177.62/27.88 End of proof
% 177.62/27.88
% 177.62/27.88 Sub-proof #279 shows that the following formulas are inconsistent:
% 177.62/27.88 ----------------------------------------------------------------
% 177.62/27.88 (1) all_63_12 = all_36_1
% 177.62/27.88 (2) all_63_12 = e3
% 177.62/27.88 (3) ~ (all_36_1 = e3)
% 177.62/27.88
% 177.62/27.88 Begin of proof
% 177.62/27.88 |
% 177.62/27.88 | COMBINE_EQS: (1), (2) imply:
% 177.62/27.88 | (4) all_36_1 = e3
% 177.62/27.88 |
% 177.62/27.88 | SIMP: (4) implies:
% 177.62/27.88 | (5) all_36_1 = e3
% 177.62/27.88 |
% 177.62/27.88 | REDUCE: (3), (5) imply:
% 177.62/27.88 | (6) $false
% 177.62/27.88 |
% 177.62/27.88 | CLOSE: (6) is inconsistent.
% 177.62/27.88 |
% 177.62/27.88 End of proof
% 177.62/27.88
% 177.62/27.88 Sub-proof #280 shows that the following formulas are inconsistent:
% 177.62/27.88 ----------------------------------------------------------------
% 177.62/27.88 (1) all_63_7 = all_61_13
% 177.62/27.88 (2) all_63_7 = e3
% 177.62/27.88 (3) ~ (all_61_13 = e3)
% 177.62/27.88
% 177.62/27.88 Begin of proof
% 177.62/27.88 |
% 177.62/27.88 | COMBINE_EQS: (1), (2) imply:
% 177.62/27.88 | (4) all_61_13 = e3
% 177.62/27.88 |
% 177.62/27.88 | SIMP: (4) implies:
% 177.62/27.88 | (5) all_61_13 = e3
% 177.62/27.88 |
% 177.62/27.88 | REDUCE: (3), (5) imply:
% 177.62/27.88 | (6) $false
% 177.62/27.88 |
% 177.62/27.88 | CLOSE: (6) is inconsistent.
% 177.62/27.88 |
% 177.62/27.88 End of proof
% 177.62/27.88
% 177.62/27.88 Sub-proof #281 shows that the following formulas are inconsistent:
% 177.62/27.88 ----------------------------------------------------------------
% 177.62/27.88 (1) all_56_0 = e3 | all_56_0 = e2 | all_56_0 = e1 | all_56_0 = e0
% 177.62/27.88 (2) ~ (all_52_0 = all_52_1)
% 177.62/27.88 (3) op(e3, all_52_0) = unit
% 177.62/27.88 (4) all_56_1 = e3 | all_56_1 = e2 | all_56_1 = e1 | all_56_1 = e0
% 177.62/27.88 (5) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 177.62/27.88 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 177.62/27.88 (6) ~ (all_52_1 = e3)
% 177.62/27.88 (7) ~ (all_52_0 = e1)
% 177.62/27.88 (8) ~ (all_52_0 = e0)
% 177.62/27.88 (9) all_56_1 = all_52_1
% 177.62/27.88 (10) op(e2, all_52_1) = unit
% 177.62/27.88 (11) op(e3, e3) = e1
% 177.62/27.88 (12) ~ (all_52_1 = e1)
% 177.62/27.88 (13) all_56_0 = all_52_0
% 177.62/27.88 (14) ~ (all_52_1 = e0)
% 177.62/27.88 (15) op(e2, e2) = e2
% 177.62/27.88
% 177.62/27.88 Begin of proof
% 177.62/27.88 |
% 177.62/27.88 | BETA: splitting (4) gives:
% 177.62/27.88 |
% 177.62/27.88 | Case 1:
% 177.62/27.88 | |
% 177.62/27.88 | | (16) all_56_1 = e3
% 177.62/27.88 | |
% 177.62/27.88 | | COMBINE_EQS: (9), (16) imply:
% 177.62/27.88 | | (17) all_52_1 = e3
% 177.62/27.88 | |
% 177.62/27.88 | | REDUCE: (6), (17) imply:
% 177.62/27.88 | | (18) $false
% 177.62/27.88 | |
% 177.62/27.88 | | CLOSE: (18) is inconsistent.
% 177.62/27.88 | |
% 177.62/27.88 | Case 2:
% 177.62/27.88 | |
% 177.62/27.88 | | (19) all_56_1 = e2 | all_56_1 = e1 | all_56_1 = e0
% 177.62/27.88 | |
% 177.62/27.88 | | BETA: splitting (19) gives:
% 177.62/27.88 | |
% 177.62/27.88 | | Case 1:
% 177.62/27.88 | | |
% 177.62/27.88 | | | (20) all_56_1 = e2
% 177.62/27.88 | | |
% 177.62/27.88 | | | COMBINE_EQS: (9), (20) imply:
% 177.62/27.88 | | | (21) all_52_1 = e2
% 177.62/27.88 | | |
% 177.62/27.88 | | | REDUCE: (2), (21) imply:
% 177.62/27.88 | | | (22) ~ (all_52_0 = e2)
% 177.62/27.88 | | |
% 177.62/27.88 | | | REDUCE: (12), (21) imply:
% 177.62/27.88 | | | (23) ~ (e2 = e1)
% 177.62/27.88 | | |
% 177.62/27.88 | | | REDUCE: (10), (21) imply:
% 177.62/27.88 | | | (24) op(e2, e2) = unit
% 177.62/27.88 | | |
% 177.62/27.88 | | | BETA: splitting (1) gives:
% 177.62/27.88 | | |
% 177.62/27.88 | | | Case 1:
% 177.62/27.88 | | | |
% 177.62/27.88 | | | | (25) all_56_0 = e3
% 177.62/27.88 | | | |
% 177.62/27.88 | | | | COMBINE_EQS: (13), (25) imply:
% 177.62/27.88 | | | | (26) all_52_0 = e3
% 177.62/27.88 | | | |
% 177.62/27.88 | | | | SIMP: (26) implies:
% 177.62/27.88 | | | | (27) all_52_0 = e3
% 177.62/27.88 | | | |
% 177.62/27.88 | | | | REDUCE: (3), (27) imply:
% 177.62/27.88 | | | | (28) op(e3, e3) = unit
% 177.62/27.88 | | | |
% 177.62/27.88 | | | | GROUND_INST: instantiating (5) with e2, unit, e2, e2, simplifying with
% 177.62/27.88 | | | | (15), (24) gives:
% 177.62/27.88 | | | | (29) unit = e2
% 177.62/27.88 | | | |
% 177.62/27.88 | | | | GROUND_INST: instantiating (5) with e1, unit, e3, e3, simplifying with
% 177.62/27.88 | | | | (11), (28) gives:
% 177.62/27.88 | | | | (30) unit = e1
% 177.62/27.88 | | | |
% 177.62/27.88 | | | | REF_CLOSE: (23), (29), (30) are inconsistent by sub-proof #384.
% 177.62/27.88 | | | |
% 177.62/27.88 | | | Case 2:
% 177.62/27.88 | | | |
% 177.62/27.88 | | | | (31) all_56_0 = e2 | all_56_0 = e1 | all_56_0 = e0
% 177.62/27.88 | | | |
% 177.62/27.88 | | | | REF_CLOSE: (7), (8), (13), (22), (31) are inconsistent by sub-proof
% 177.62/27.88 | | | | #512.
% 177.62/27.88 | | | |
% 177.62/27.88 | | | End of split
% 177.62/27.88 | | |
% 177.62/27.88 | | Case 2:
% 177.62/27.88 | | |
% 177.62/27.88 | | | (32) all_56_1 = e1 | all_56_1 = e0
% 177.62/27.88 | | |
% 177.62/27.88 | | | REF_CLOSE: (9), (12), (14), (32) are inconsistent by sub-proof #454.
% 177.62/27.88 | | |
% 177.62/27.88 | | End of split
% 177.62/27.88 | |
% 177.62/27.88 | End of split
% 177.62/27.88 |
% 177.62/27.88 End of proof
% 177.62/27.88
% 177.62/27.88 Sub-proof #282 shows that the following formulas are inconsistent:
% 177.62/27.88 ----------------------------------------------------------------
% 177.62/27.88 (1) ~ (all_40_1 = e0)
% 177.62/27.88 (2) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 177.62/27.88 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 177.62/27.88 (3) op(e3, e0) = unit
% 177.62/27.88 (4) op(e3, e0) = all_61_12
% 177.62/27.88 (5) op(unit, e0) = e0
% 177.62/27.88 (6) op(all_61_12, e0) = all_40_1
% 177.62/27.88
% 177.62/27.88 Begin of proof
% 177.62/27.88 |
% 177.62/27.88 | GROUND_INST: instantiating (2) with all_61_12, unit, e0, e3, simplifying with
% 177.62/27.88 | (3), (4) gives:
% 177.62/27.88 | (7) all_61_12 = unit
% 177.62/27.88 |
% 177.62/27.88 | REDUCE: (6), (7) imply:
% 177.62/27.88 | (8) op(unit, e0) = all_40_1
% 177.62/27.88 |
% 177.62/27.88 | GROUND_INST: instantiating (2) with e0, all_40_1, e0, unit, simplifying with
% 177.62/27.88 | (5), (8) gives:
% 177.62/27.88 | (9) all_40_1 = e0
% 177.62/27.88 |
% 177.62/27.88 | REDUCE: (1), (9) imply:
% 177.62/27.88 | (10) $false
% 177.62/27.88 |
% 177.62/27.88 | CLOSE: (10) is inconsistent.
% 177.62/27.88 |
% 177.62/27.88 End of proof
% 177.62/27.88
% 177.62/27.88 Sub-proof #283 shows that the following formulas are inconsistent:
% 177.62/27.88 ----------------------------------------------------------------
% 177.62/27.88 (1) all_58_0 = all_52_0
% 177.62/27.88 (2) all_58_0 = e0
% 177.62/27.88 (3) ~ (all_52_0 = e0)
% 177.62/27.88
% 177.62/27.88 Begin of proof
% 177.62/27.88 |
% 177.62/27.88 | COMBINE_EQS: (1), (2) imply:
% 177.62/27.88 | (4) all_52_0 = e0
% 177.62/27.88 |
% 177.62/27.88 | SIMP: (4) implies:
% 177.62/27.88 | (5) all_52_0 = e0
% 177.62/27.88 |
% 177.62/27.88 | REDUCE: (3), (5) imply:
% 177.62/27.88 | (6) $false
% 177.62/27.88 |
% 177.62/27.88 | CLOSE: (6) is inconsistent.
% 177.62/27.88 |
% 177.62/27.88 End of proof
% 177.62/27.88
% 177.62/27.88 Sub-proof #284 shows that the following formulas are inconsistent:
% 177.62/27.88 ----------------------------------------------------------------
% 177.62/27.88 (1) ~ (all_52_3 = e3)
% 177.62/27.88 (2) ~ (all_52_1 = all_52_3)
% 177.62/27.88 (3) all_56_1 = e3 | all_56_1 = e2 | all_56_1 = e1 | all_56_1 = e0
% 177.62/27.88 (4) op(all_61_7, e2) = all_61_7
% 177.62/27.88 (5) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 177.62/27.88 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 177.62/27.88 (6) ~ (all_52_1 = e3)
% 177.62/27.88 (7) ~ (all_61_13 = e2)
% 177.62/27.88 (8) ~ (all_58_3 = e2) | all_58_1 = e0
% 177.62/27.88 (9) op(e0, e2) = all_61_7
% 177.62/27.88 (10) all_56_3 = e3 | all_56_3 = e2 | all_56_3 = e1 | all_56_3 = e0
% 177.62/27.88 (11) all_56_1 = all_52_1
% 177.62/27.88 (12) all_58_3 = all_52_3
% 177.62/27.88 (13) op(e2, all_52_1) = unit
% 177.62/27.88 (14) ~ (all_58_1 = e0) | all_58_3 = e2
% 177.62/27.88 (15) op(e2, e0) = all_61_13
% 177.62/27.88 (16) ~ (all_52_3 = e1)
% 177.62/27.88 (17) all_56_3 = all_52_3
% 177.62/27.88 (18) all_58_1 = all_52_1
% 177.62/27.88 (19) op(e0, e0) = e1
% 177.62/27.88 (20) ~ (all_52_1 = e1)
% 177.62/27.88 (21) op(all_61_13, e2) = all_65_29
% 177.62/27.88 (22) op(e0, all_52_3) = unit
% 177.62/27.88 (23) op(e2, e2) = e2
% 177.62/27.88 (24) op(unit, e2) = e2
% 177.62/27.88
% 177.62/27.88 Begin of proof
% 177.62/27.88 |
% 177.62/27.88 | BETA: splitting (8) gives:
% 177.62/27.88 |
% 177.62/27.88 | Case 1:
% 177.62/27.88 | |
% 177.62/27.88 | | (25) ~ (all_58_3 = e2)
% 177.62/27.88 | |
% 177.62/27.88 | | REDUCE: (12), (25) imply:
% 177.62/27.88 | | (26) ~ (all_52_3 = e2)
% 177.62/27.88 | |
% 177.62/27.88 | | BETA: splitting (14) gives:
% 177.62/27.88 | |
% 177.62/27.88 | | Case 1:
% 177.62/27.88 | | |
% 177.62/27.88 | | | (27) ~ (all_58_1 = e0)
% 177.62/27.88 | | |
% 177.62/27.88 | | | REDUCE: (18), (27) imply:
% 177.62/27.88 | | | (28) ~ (all_52_1 = e0)
% 177.62/27.88 | | |
% 177.62/27.88 | | | REF_CLOSE: (1), (2), (3), (5), (6), (10), (11), (13), (16), (17), (19),
% 177.62/27.88 | | | (20), (22), (23), (28) are inconsistent by sub-proof #453.
% 177.62/27.88 | | |
% 177.62/27.88 | | Case 2:
% 177.62/27.88 | | |
% 177.62/27.88 | | | (29) all_58_3 = e2
% 177.62/27.88 | | |
% 177.62/27.88 | | | REF_CLOSE: (12), (26), (29) are inconsistent by sub-proof #459.
% 177.62/27.88 | | |
% 177.62/27.88 | | End of split
% 177.62/27.88 | |
% 177.62/27.88 | Case 2:
% 177.62/27.88 | |
% 177.62/27.88 | | (30) all_58_3 = e2
% 177.62/27.88 | | (31) all_58_1 = e0
% 177.62/27.88 | |
% 177.62/27.88 | | REF_CLOSE: (4), (5), (7), (9), (12), (13), (15), (18), (21), (22), (24),
% 177.62/27.88 | | (30), (31) are inconsistent by sub-proof #456.
% 177.62/27.88 | |
% 177.62/27.88 | End of split
% 177.62/27.88 |
% 177.62/27.88 End of proof
% 177.62/27.88
% 177.62/27.88 Sub-proof #285 shows that the following formulas are inconsistent:
% 177.62/27.88 ----------------------------------------------------------------
% 177.62/27.88 (1) ~ (all_61_11 = all_10_1)
% 177.62/27.88 (2) ~ (all_61_4 = all_61_12)
% 177.62/27.88 (3) all_63_8 = all_40_1
% 177.62/27.88 (4) op(e3, all_52_0) = unit
% 177.62/27.88 (5) ~ (all_61_3 = all_61_11)
% 177.62/27.88 (6) ~ (all_52_3 = e2)
% 177.62/27.88 (7) all_58_0 = all_52_0
% 177.62/27.88 (8) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 177.62/27.88 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 177.62/27.88 (9) ~ (all_61_11 = e0)
% 177.62/27.88 (10) all_63_6 = all_10_1
% 177.62/27.88 (11) op(e2, unit) = e2
% 177.62/27.88 (12) ~ (all_61_13 = e2)
% 177.62/27.88 (13) all_63_3 = all_61_12
% 177.62/27.88 (14) all_63_14 = all_61_11
% 177.62/27.88 (15) op(e0, e0) = e0
% 177.62/27.88 (16) all_63_6 = e3 | all_63_6 = e2 | all_63_6 = e1 | all_63_6 = e0
% 177.62/27.88 (17) ~ (all_61_4 = e1)
% 177.62/27.88 (18) all_56_3 = e3 | all_56_3 = e2 | all_56_3 = e1 | all_56_3 = e0
% 177.62/27.88 (19) all_58_3 = all_52_3
% 177.62/27.88 (20) ~ (all_61_12 = e0)
% 177.62/27.88 (21) all_63_3 = e3 | all_63_3 = e2 | all_63_3 = e1 | all_63_3 = e0
% 177.62/27.88 (22) all_63_1 = all_61_4
% 177.62/27.88 (23) op(e2, e0) = all_61_13
% 177.62/27.88 (24) ~ (all_58_3 = e3) | all_58_0 = e0
% 177.62/27.88 (25) ~ (all_52_3 = e1)
% 177.62/27.88 (26) op(e3, e0) = all_61_12
% 177.62/27.88 (27) all_56_3 = all_52_3
% 177.62/27.88 (28) ~ (all_40_1 = e1)
% 177.62/27.88 (29) op(e0, all_61_4) = all_65_57
% 177.62/27.88 (30) op(all_61_3, e2) = all_65_57
% 177.62/27.88 (31) ~ (all_61_12 = e1)
% 177.62/27.88 (32) ~ (all_61_4 = all_10_1)
% 177.62/27.88 (33) ~ (all_40_1 = all_10_1)
% 177.62/27.88 (34) ~ (all_61_4 = all_40_1)
% 177.62/27.89 (35) all_63_1 = e3 | all_63_1 = e2 | all_63_1 = e1 | all_63_1 = e0
% 177.62/27.89 (36) ~ (all_61_11 = all_40_1)
% 177.62/27.89 (37) all_63_14 = e3 | all_63_14 = e2 | all_63_14 = e1 | all_63_14 = e0
% 177.62/27.89 (38) ~ (all_61_12 = all_40_1)
% 177.62/27.89 (39) ~ (all_40_1 = e0) | ( ~ (all_40_0 = e2) & op(e0, e3) = all_40_0 &
% 177.62/27.89 $i(all_40_0))
% 177.62/27.89 (40) all_63_8 = e3 | all_63_8 = e2 | all_63_8 = e1 | all_63_8 = e0
% 177.62/27.89 (41) ~ (unit = e3)
% 177.62/27.89 (42) ~ (all_10_1 = e2)
% 177.62/27.89 (43) op(e0, all_52_3) = unit
% 177.62/27.89 (44) op(e0, e3) = all_61_3
% 177.62/27.89
% 177.62/27.89 Begin of proof
% 177.62/27.89 |
% 177.62/27.89 | BETA: splitting (24) gives:
% 177.62/27.89 |
% 177.62/27.89 | Case 1:
% 177.62/27.89 | |
% 177.62/27.89 | | (45) ~ (all_58_3 = e3)
% 177.62/27.89 | |
% 177.62/27.89 | | REDUCE: (19), (45) imply:
% 177.62/27.89 | | (46) ~ (all_52_3 = e3)
% 177.62/27.89 | |
% 177.62/27.89 | | REF_CLOSE: (6), (8), (11), (12), (15), (18), (23), (25), (27), (43), (46)
% 177.62/27.89 | | are inconsistent by sub-proof #289.
% 177.62/27.89 | |
% 177.62/27.89 | Case 2:
% 177.62/27.89 | |
% 177.62/27.89 | | (47) all_58_3 = e3
% 177.62/27.89 | | (48) all_58_0 = e0
% 177.62/27.89 | |
% 177.62/27.89 | | COMBINE_EQS: (7), (48) imply:
% 177.62/27.89 | | (49) all_52_0 = e0
% 177.62/27.89 | |
% 177.62/27.89 | | SIMP: (49) implies:
% 177.62/27.89 | | (50) all_52_0 = e0
% 177.62/27.89 | |
% 177.62/27.89 | | COMBINE_EQS: (19), (47) imply:
% 177.62/27.89 | | (51) all_52_3 = e3
% 177.62/27.89 | |
% 177.62/27.89 | | REDUCE: (4), (50) imply:
% 177.62/27.89 | | (52) op(e3, e0) = unit
% 177.62/27.89 | |
% 177.62/27.89 | | REDUCE: (43), (51) imply:
% 177.62/27.89 | | (53) op(e0, e3) = unit
% 177.62/27.89 | |
% 177.62/27.89 | | GROUND_INST: instantiating (8) with all_61_3, unit, e3, e0, simplifying with
% 177.62/27.89 | | (44), (53) gives:
% 177.62/27.89 | | (54) all_61_3 = unit
% 177.62/27.89 | |
% 177.62/27.89 | | GROUND_INST: instantiating (8) with all_61_12, unit, e0, e3, simplifying
% 177.62/27.89 | | with (26), (52) gives:
% 177.62/27.89 | | (55) all_61_12 = unit
% 177.62/27.89 | |
% 177.62/27.89 | | COMBINE_EQS: (13), (55) imply:
% 177.62/27.89 | | (56) all_63_3 = unit
% 177.62/27.89 | |
% 177.62/27.89 | | REDUCE: (5), (54) imply:
% 177.62/27.89 | | (57) ~ (all_61_11 = unit)
% 177.62/27.89 | |
% 177.62/27.89 | | SIMP: (57) implies:
% 177.62/27.89 | | (58) ~ (all_61_11 = unit)
% 177.62/27.89 | |
% 177.62/27.89 | | REDUCE: (2), (55) imply:
% 177.62/27.89 | | (59) ~ (all_61_4 = unit)
% 177.62/27.89 | |
% 177.62/27.89 | | REDUCE: (38), (55) imply:
% 177.62/27.89 | | (60) ~ (all_40_1 = unit)
% 177.62/27.89 | |
% 177.62/27.89 | | SIMP: (60) implies:
% 177.62/27.89 | | (61) ~ (all_40_1 = unit)
% 177.62/27.89 | |
% 177.62/27.89 | | REDUCE: (30), (54) imply:
% 177.62/27.89 | | (62) op(unit, e2) = all_65_57
% 177.62/27.89 | |
% 177.62/27.89 | | BETA: splitting (21) gives:
% 177.62/27.89 | |
% 177.62/27.89 | | Case 1:
% 177.62/27.89 | | |
% 177.62/27.89 | | | (63) all_63_3 = e3
% 177.62/27.89 | | |
% 177.62/27.89 | | | COMBINE_EQS: (56), (63) imply:
% 177.62/27.89 | | | (64) unit = e3
% 177.62/27.89 | | |
% 177.62/27.89 | | | REDUCE: (41), (64) imply:
% 177.62/27.89 | | | (65) $false
% 177.62/27.89 | | |
% 177.62/27.89 | | | CLOSE: (65) is inconsistent.
% 177.62/27.89 | | |
% 177.62/27.89 | | Case 2:
% 177.62/27.89 | | |
% 177.62/27.89 | | | (66) all_63_3 = e2 | all_63_3 = e1 | all_63_3 = e0
% 177.62/27.89 | | |
% 177.62/27.89 | | | BETA: splitting (66) gives:
% 177.62/27.89 | | |
% 177.62/27.89 | | | Case 1:
% 177.62/27.89 | | | |
% 177.62/27.89 | | | | (67) all_63_3 = e2
% 177.62/27.89 | | | |
% 177.62/27.89 | | | | COMBINE_EQS: (56), (67) imply:
% 177.62/27.89 | | | | (68) unit = e2
% 177.62/27.89 | | | |
% 177.62/27.89 | | | | REDUCE: (59), (68) imply:
% 177.62/27.89 | | | | (69) ~ (all_61_4 = e2)
% 177.62/27.89 | | | |
% 177.62/27.89 | | | | REDUCE: (58), (68) imply:
% 177.62/27.89 | | | | (70) ~ (all_61_11 = e2)
% 177.62/27.89 | | | |
% 177.62/27.89 | | | | REDUCE: (61), (68) imply:
% 177.62/27.89 | | | | (71) ~ (all_40_1 = e2)
% 177.62/27.89 | | | |
% 177.62/27.89 | | | | REDUCE: (62), (68) imply:
% 177.62/27.89 | | | | (72) op(e2, e2) = all_65_57
% 177.62/27.89 | | | |
% 177.62/27.89 | | | | REDUCE: (11), (68) imply:
% 177.62/27.89 | | | | (73) op(e2, e2) = e2
% 177.62/27.89 | | | |
% 177.62/27.89 | | | | BETA: splitting (39) gives:
% 177.62/27.89 | | | |
% 177.62/27.89 | | | | Case 1:
% 177.62/27.89 | | | | |
% 177.62/27.89 | | | | | (74) ~ (all_40_1 = e0)
% 177.62/27.89 | | | | |
% 177.62/27.89 | | | | | BETA: splitting (40) gives:
% 177.62/27.89 | | | | |
% 177.62/27.89 | | | | | Case 1:
% 177.62/27.89 | | | | | |
% 177.62/27.89 | | | | | | (75) all_63_8 = e3
% 177.62/27.89 | | | | | |
% 177.62/27.89 | | | | | | COMBINE_EQS: (3), (75) imply:
% 177.62/27.89 | | | | | | (76) all_40_1 = e3
% 177.62/27.89 | | | | | |
% 177.62/27.89 | | | | | | SIMP: (76) implies:
% 177.62/27.89 | | | | | | (77) all_40_1 = e3
% 177.62/27.89 | | | | | |
% 177.62/27.89 | | | | | | REDUCE: (34), (77) imply:
% 177.62/27.89 | | | | | | (78) ~ (all_61_4 = e3)
% 177.62/27.89 | | | | | |
% 177.62/27.89 | | | | | | REDUCE: (36), (77) imply:
% 177.62/27.89 | | | | | | (79) ~ (all_61_11 = e3)
% 177.62/27.89 | | | | | |
% 177.62/27.89 | | | | | | REDUCE: (33), (77) imply:
% 177.62/27.89 | | | | | | (80) ~ (all_10_1 = e3)
% 177.62/27.89 | | | | | |
% 177.62/27.89 | | | | | | SIMP: (80) implies:
% 177.62/27.89 | | | | | | (81) ~ (all_10_1 = e3)
% 177.62/27.89 | | | | | |
% 177.62/27.89 | | | | | | BETA: splitting (35) gives:
% 177.62/27.89 | | | | | |
% 177.62/27.89 | | | | | | Case 1:
% 177.62/27.89 | | | | | | |
% 177.62/27.89 | | | | | | | (82) all_63_1 = e3
% 177.62/27.89 | | | | | | |
% 177.62/27.89 | | | | | | | COMBINE_EQS: (22), (82) imply:
% 177.62/27.89 | | | | | | | (83) all_61_4 = e3
% 177.62/27.89 | | | | | | |
% 177.62/27.89 | | | | | | | REDUCE: (78), (83) imply:
% 177.62/27.89 | | | | | | | (84) $false
% 177.62/27.89 | | | | | | |
% 177.62/27.89 | | | | | | | CLOSE: (84) is inconsistent.
% 177.62/27.89 | | | | | | |
% 177.62/27.89 | | | | | | Case 2:
% 177.62/27.89 | | | | | | |
% 177.62/27.89 | | | | | | | (85) all_63_1 = e2 | all_63_1 = e1 | all_63_1 = e0
% 177.62/27.89 | | | | | | |
% 177.62/27.89 | | | | | | | BETA: splitting (85) gives:
% 177.62/27.89 | | | | | | |
% 177.62/27.89 | | | | | | | Case 1:
% 177.62/27.89 | | | | | | | |
% 177.62/27.89 | | | | | | | | (86) all_63_1 = e2
% 177.62/27.89 | | | | | | | |
% 177.62/27.89 | | | | | | | | COMBINE_EQS: (22), (86) imply:
% 177.62/27.89 | | | | | | | | (87) all_61_4 = e2
% 177.62/27.89 | | | | | | | |
% 177.62/27.89 | | | | | | | | REDUCE: (69), (87) imply:
% 177.62/27.89 | | | | | | | | (88) $false
% 177.62/27.89 | | | | | | | |
% 177.62/27.89 | | | | | | | | CLOSE: (88) is inconsistent.
% 177.62/27.89 | | | | | | | |
% 177.62/27.89 | | | | | | | Case 2:
% 177.62/27.89 | | | | | | | |
% 177.62/27.89 | | | | | | | | (89) all_63_1 = e1 | all_63_1 = e0
% 177.62/27.89 | | | | | | | |
% 177.62/27.89 | | | | | | | | BETA: splitting (89) gives:
% 177.62/27.89 | | | | | | | |
% 177.62/27.89 | | | | | | | | Case 1:
% 177.62/27.89 | | | | | | | | |
% 177.62/27.89 | | | | | | | | | (90) all_63_1 = e1
% 177.62/27.89 | | | | | | | | |
% 177.62/27.89 | | | | | | | | | COMBINE_EQS: (22), (90) imply:
% 177.62/27.89 | | | | | | | | | (91) all_61_4 = e1
% 177.62/27.89 | | | | | | | | |
% 177.62/27.89 | | | | | | | | | REDUCE: (17), (91) imply:
% 177.62/27.89 | | | | | | | | | (92) $false
% 177.62/27.89 | | | | | | | | |
% 177.62/27.89 | | | | | | | | | CLOSE: (92) is inconsistent.
% 177.62/27.89 | | | | | | | | |
% 177.62/27.89 | | | | | | | | Case 2:
% 177.62/27.89 | | | | | | | | |
% 177.62/27.89 | | | | | | | | | (93) all_63_1 = e0
% 177.62/27.89 | | | | | | | | |
% 177.62/27.89 | | | | | | | | | COMBINE_EQS: (22), (93) imply:
% 177.62/27.89 | | | | | | | | | (94) all_61_4 = e0
% 177.62/27.89 | | | | | | | | |
% 177.62/27.89 | | | | | | | | | REDUCE: (32), (94) imply:
% 177.62/27.89 | | | | | | | | | (95) ~ (all_10_1 = e0)
% 177.62/27.89 | | | | | | | | |
% 177.62/27.89 | | | | | | | | | SIMP: (95) implies:
% 177.62/27.89 | | | | | | | | | (96) ~ (all_10_1 = e0)
% 177.62/27.89 | | | | | | | | |
% 177.62/27.89 | | | | | | | | | BETA: splitting (37) gives:
% 177.62/27.89 | | | | | | | | |
% 177.62/27.89 | | | | | | | | | Case 1:
% 177.62/27.89 | | | | | | | | | |
% 177.62/27.89 | | | | | | | | | | (97) all_63_14 = e3
% 177.62/27.89 | | | | | | | | | |
% 177.62/27.89 | | | | | | | | | | COMBINE_EQS: (14), (97) imply:
% 177.62/27.89 | | | | | | | | | | (98) all_61_11 = e3
% 177.62/27.89 | | | | | | | | | |
% 177.62/27.89 | | | | | | | | | | REDUCE: (79), (98) imply:
% 177.62/27.89 | | | | | | | | | | (99) $false
% 177.62/27.89 | | | | | | | | | |
% 177.62/27.89 | | | | | | | | | | CLOSE: (99) is inconsistent.
% 177.62/27.89 | | | | | | | | | |
% 177.62/27.89 | | | | | | | | | Case 2:
% 177.62/27.89 | | | | | | | | | |
% 177.62/27.89 | | | | | | | | | | (100) all_63_14 = e2 | all_63_14 = e1 | all_63_14 = e0
% 177.62/27.89 | | | | | | | | | |
% 177.62/27.89 | | | | | | | | | | BETA: splitting (100) gives:
% 177.62/27.89 | | | | | | | | | |
% 177.62/27.89 | | | | | | | | | | Case 1:
% 177.62/27.89 | | | | | | | | | | |
% 177.62/27.89 | | | | | | | | | | | (101) all_63_14 = e2
% 177.62/27.89 | | | | | | | | | | |
% 177.62/27.89 | | | | | | | | | | | COMBINE_EQS: (14), (101) imply:
% 177.62/27.89 | | | | | | | | | | | (102) all_61_11 = e2
% 177.62/27.89 | | | | | | | | | | |
% 177.62/27.89 | | | | | | | | | | | REDUCE: (70), (102) imply:
% 177.62/27.89 | | | | | | | | | | | (103) $false
% 177.62/27.89 | | | | | | | | | | |
% 177.62/27.89 | | | | | | | | | | | CLOSE: (103) is inconsistent.
% 177.62/27.89 | | | | | | | | | | |
% 177.62/27.89 | | | | | | | | | | Case 2:
% 177.62/27.89 | | | | | | | | | | |
% 177.62/27.89 | | | | | | | | | | | (104) all_63_14 = e1 | all_63_14 = e0
% 177.62/27.89 | | | | | | | | | | |
% 177.62/27.89 | | | | | | | | | | | BETA: splitting (104) gives:
% 177.62/27.89 | | | | | | | | | | |
% 177.62/27.89 | | | | | | | | | | | Case 1:
% 177.62/27.89 | | | | | | | | | | | |
% 177.62/27.89 | | | | | | | | | | | | (105) all_63_14 = e1
% 177.62/27.89 | | | | | | | | | | | |
% 177.62/27.89 | | | | | | | | | | | | COMBINE_EQS: (14), (105) imply:
% 177.62/27.89 | | | | | | | | | | | | (106) all_61_11 = e1
% 177.62/27.89 | | | | | | | | | | | |
% 177.62/27.89 | | | | | | | | | | | | REDUCE: (1), (106) imply:
% 177.62/27.89 | | | | | | | | | | | | (107) ~ (all_10_1 = e1)
% 177.62/27.89 | | | | | | | | | | | |
% 177.62/27.89 | | | | | | | | | | | | SIMP: (107) implies:
% 177.62/27.89 | | | | | | | | | | | | (108) ~ (all_10_1 = e1)
% 177.62/27.89 | | | | | | | | | | | |
% 177.62/27.89 | | | | | | | | | | | | REF_CLOSE: (10), (16), (42), (81), (96), (108) are
% 177.62/27.89 | | | | | | | | | | | | inconsistent by sub-proof #287.
% 177.62/27.89 | | | | | | | | | | | |
% 177.62/27.89 | | | | | | | | | | | Case 2:
% 177.62/27.89 | | | | | | | | | | | |
% 177.62/27.89 | | | | | | | | | | | | (109) all_63_14 = e0
% 177.62/27.89 | | | | | | | | | | | |
% 177.62/27.89 | | | | | | | | | | | | COMBINE_EQS: (14), (109) imply:
% 177.62/27.89 | | | | | | | | | | | | (110) all_61_11 = e0
% 177.62/27.89 | | | | | | | | | | | |
% 177.62/27.89 | | | | | | | | | | | | REDUCE: (9), (110) imply:
% 177.62/27.89 | | | | | | | | | | | | (111) $false
% 177.62/27.89 | | | | | | | | | | | |
% 177.62/27.89 | | | | | | | | | | | | CLOSE: (111) is inconsistent.
% 177.62/27.89 | | | | | | | | | | | |
% 177.62/27.89 | | | | | | | | | | | End of split
% 177.62/27.89 | | | | | | | | | | |
% 177.62/27.89 | | | | | | | | | | End of split
% 177.62/27.89 | | | | | | | | | |
% 177.62/27.89 | | | | | | | | | End of split
% 177.62/27.89 | | | | | | | | |
% 177.62/27.89 | | | | | | | | End of split
% 177.62/27.89 | | | | | | | |
% 177.62/27.89 | | | | | | | End of split
% 177.62/27.89 | | | | | | |
% 177.62/27.89 | | | | | | End of split
% 177.62/27.89 | | | | | |
% 177.62/27.89 | | | | | Case 2:
% 177.62/27.89 | | | | | |
% 177.62/27.89 | | | | | | (112) all_63_8 = e2 | all_63_8 = e1 | all_63_8 = e0
% 177.62/27.89 | | | | | |
% 177.62/27.89 | | | | | | REF_CLOSE: (3), (28), (71), (74), (112) are inconsistent by
% 177.62/27.89 | | | | | | sub-proof #487.
% 177.62/27.89 | | | | | |
% 177.62/27.89 | | | | | End of split
% 177.62/27.89 | | | | |
% 177.62/27.89 | | | | Case 2:
% 177.62/27.89 | | | | |
% 177.62/27.89 | | | | | (113) all_40_1 = e0
% 177.62/27.89 | | | | | (114) ~ (all_40_0 = e2) & op(e0, e3) = all_40_0 & $i(all_40_0)
% 177.62/27.89 | | | | |
% 177.62/27.89 | | | | | ALPHA: (114) implies:
% 177.62/27.89 | | | | | (115) ~ (all_40_0 = e2)
% 177.62/27.89 | | | | | (116) op(e0, e3) = all_40_0
% 177.62/27.89 | | | | |
% 177.62/27.89 | | | | | REDUCE: (34), (113) imply:
% 177.62/27.89 | | | | | (117) ~ (all_61_4 = e0)
% 177.62/27.89 | | | | |
% 177.62/27.89 | | | | | REF_CLOSE: (8), (17), (22), (29), (35), (69), (72), (73), (115),
% 177.62/27.89 | | | | | (116), (117) are inconsistent by sub-proof #286.
% 177.62/27.89 | | | | |
% 177.62/27.89 | | | | End of split
% 177.62/27.89 | | | |
% 177.62/27.89 | | | Case 2:
% 177.62/27.89 | | | |
% 177.62/27.89 | | | | (118) all_63_3 = e1 | all_63_3 = e0
% 177.62/27.89 | | | |
% 177.62/27.89 | | | | REF_CLOSE: (13), (20), (31), (118) are inconsistent by sub-proof #490.
% 177.62/27.89 | | | |
% 177.62/27.89 | | | End of split
% 177.62/27.89 | | |
% 177.62/27.89 | | End of split
% 177.62/27.89 | |
% 177.62/27.89 | End of split
% 177.62/27.89 |
% 177.62/27.89 End of proof
% 177.62/27.89
% 177.62/27.89 Sub-proof #286 shows that the following formulas are inconsistent:
% 177.62/27.89 ----------------------------------------------------------------
% 177.62/27.89 (1) ~ (all_61_4 = e2)
% 177.62/27.89 (2) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 177.62/27.89 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 177.62/27.89 (3) ~ (all_61_4 = e0)
% 177.62/27.89 (4) op(e2, e2) = all_65_57
% 177.62/27.89 (5) ~ (all_61_4 = e1)
% 177.62/27.89 (6) ~ (all_40_0 = e2)
% 177.62/27.89 (7) all_63_1 = all_61_4
% 177.62/27.89 (8) op(e0, all_61_4) = all_65_57
% 177.62/27.89 (9) all_63_1 = e3 | all_63_1 = e2 | all_63_1 = e1 | all_63_1 = e0
% 177.62/27.89 (10) op(e0, e3) = all_40_0
% 177.62/27.89 (11) op(e2, e2) = e2
% 177.62/27.89
% 177.62/27.89 Begin of proof
% 177.62/27.89 |
% 177.62/27.89 | BETA: splitting (9) gives:
% 177.62/27.89 |
% 177.62/27.89 | Case 1:
% 177.62/27.89 | |
% 177.62/27.89 | | (12) all_63_1 = e3
% 177.62/27.89 | |
% 177.62/27.89 | | COMBINE_EQS: (7), (12) imply:
% 177.62/27.89 | | (13) all_61_4 = e3
% 177.62/27.89 | |
% 177.62/27.89 | | REDUCE: (8), (13) imply:
% 177.62/27.89 | | (14) op(e0, e3) = all_65_57
% 177.62/27.89 | |
% 177.62/27.89 | | REF_CLOSE: (2), (4), (6), (10), (11), (14) are inconsistent by sub-proof
% 177.62/27.89 | | #422.
% 177.62/27.89 | |
% 177.62/27.89 | Case 2:
% 177.62/27.89 | |
% 177.62/27.89 | | (15) all_63_1 = e2 | all_63_1 = e1 | all_63_1 = e0
% 177.62/27.89 | |
% 177.62/27.89 | | REF_CLOSE: (1), (3), (5), (7), (15) are inconsistent by sub-proof #485.
% 177.62/27.89 | |
% 177.62/27.89 | End of split
% 177.62/27.89 |
% 177.62/27.89 End of proof
% 177.62/27.89
% 177.62/27.89 Sub-proof #287 shows that the following formulas are inconsistent:
% 177.62/27.89 ----------------------------------------------------------------
% 177.62/27.89 (1) all_63_6 = all_10_1
% 177.62/27.89 (2) all_63_6 = e3 | all_63_6 = e2 | all_63_6 = e1 | all_63_6 = e0
% 177.62/27.89 (3) ~ (all_10_1 = e3)
% 177.62/27.89 (4) ~ (all_10_1 = e0)
% 177.62/27.89 (5) ~ (all_10_1 = e1)
% 177.62/27.89 (6) ~ (all_10_1 = e2)
% 177.62/27.89
% 177.62/27.89 Begin of proof
% 177.62/27.89 |
% 177.62/27.89 | BETA: splitting (2) gives:
% 177.62/27.89 |
% 177.62/27.89 | Case 1:
% 177.62/27.89 | |
% 177.62/27.89 | | (7) all_63_6 = e3
% 177.62/27.89 | |
% 177.62/27.89 | | COMBINE_EQS: (1), (7) imply:
% 177.62/27.89 | | (8) all_10_1 = e3
% 177.62/27.89 | |
% 177.62/27.89 | | REDUCE: (3), (8) imply:
% 177.62/27.89 | | (9) $false
% 177.62/27.89 | |
% 177.62/27.89 | | CLOSE: (9) is inconsistent.
% 177.62/27.89 | |
% 177.62/27.89 | Case 2:
% 177.62/27.89 | |
% 177.62/27.89 | | (10) all_63_6 = e2 | all_63_6 = e1 | all_63_6 = e0
% 177.62/27.89 | |
% 177.62/27.89 | | REF_CLOSE: (1), (4), (5), (6), (10) are inconsistent by sub-proof #288.
% 177.62/27.89 | |
% 177.62/27.89 | End of split
% 177.62/27.89 |
% 177.62/27.89 End of proof
% 177.62/27.89
% 177.62/27.89 Sub-proof #288 shows that the following formulas are inconsistent:
% 177.62/27.89 ----------------------------------------------------------------
% 177.62/27.89 (1) all_63_6 = all_10_1
% 177.62/27.89 (2) all_63_6 = e2 | all_63_6 = e1 | all_63_6 = e0
% 177.62/27.89 (3) ~ (all_10_1 = e0)
% 177.62/27.89 (4) ~ (all_10_1 = e1)
% 177.62/27.89 (5) ~ (all_10_1 = e2)
% 177.62/27.89
% 177.62/27.89 Begin of proof
% 177.62/27.89 |
% 177.62/27.89 | BETA: splitting (2) gives:
% 177.62/27.89 |
% 177.62/27.89 | Case 1:
% 177.62/27.89 | |
% 177.62/27.89 | | (6) all_63_6 = e2
% 177.62/27.89 | |
% 177.62/27.89 | | COMBINE_EQS: (1), (6) imply:
% 177.62/27.89 | | (7) all_10_1 = e2
% 177.62/27.89 | |
% 177.62/27.89 | | SIMP: (7) implies:
% 177.62/27.89 | | (8) all_10_1 = e2
% 177.62/27.89 | |
% 177.62/27.89 | | REDUCE: (5), (8) imply:
% 177.62/27.89 | | (9) $false
% 177.62/27.89 | |
% 177.62/27.89 | | CLOSE: (9) is inconsistent.
% 177.62/27.89 | |
% 177.62/27.89 | Case 2:
% 177.62/27.89 | |
% 177.62/27.89 | | (10) all_63_6 = e1 | all_63_6 = e0
% 177.62/27.89 | |
% 177.62/27.89 | | BETA: splitting (10) gives:
% 177.62/27.89 | |
% 177.62/27.89 | | Case 1:
% 177.62/27.89 | | |
% 177.62/27.89 | | | (11) all_63_6 = e1
% 177.62/27.89 | | |
% 177.62/27.89 | | | COMBINE_EQS: (1), (11) imply:
% 177.62/27.89 | | | (12) all_10_1 = e1
% 177.62/27.89 | | |
% 177.62/27.89 | | | SIMP: (12) implies:
% 177.62/27.89 | | | (13) all_10_1 = e1
% 177.62/27.89 | | |
% 177.62/27.89 | | | REDUCE: (4), (13) imply:
% 177.62/27.89 | | | (14) $false
% 177.62/27.89 | | |
% 177.62/27.89 | | | CLOSE: (14) is inconsistent.
% 177.62/27.89 | | |
% 177.62/27.89 | | Case 2:
% 177.62/27.89 | | |
% 177.62/27.89 | | | (15) all_63_6 = e0
% 177.62/27.89 | | |
% 177.62/27.89 | | | COMBINE_EQS: (1), (15) imply:
% 177.62/27.89 | | | (16) all_10_1 = e0
% 177.62/27.89 | | |
% 177.62/27.89 | | | SIMP: (16) implies:
% 177.62/27.89 | | | (17) all_10_1 = e0
% 177.62/27.89 | | |
% 177.62/27.89 | | | REDUCE: (3), (17) imply:
% 177.62/27.89 | | | (18) $false
% 177.62/27.89 | | |
% 177.62/27.89 | | | CLOSE: (18) is inconsistent.
% 177.62/27.89 | | |
% 177.62/27.89 | | End of split
% 177.62/27.89 | |
% 177.62/27.89 | End of split
% 177.62/27.89 |
% 177.62/27.89 End of proof
% 177.62/27.89
% 177.62/27.89 Sub-proof #289 shows that the following formulas are inconsistent:
% 177.62/27.89 ----------------------------------------------------------------
% 177.62/27.89 (1) ~ (all_52_3 = e3)
% 177.62/27.89 (2) ~ (all_52_3 = e2)
% 177.62/27.89 (3) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 177.62/27.89 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 177.62/27.89 (4) op(e2, unit) = e2
% 177.62/27.89 (5) ~ (all_61_13 = e2)
% 177.62/27.89 (6) op(e0, e0) = e0
% 177.62/27.89 (7) all_56_3 = e3 | all_56_3 = e2 | all_56_3 = e1 | all_56_3 = e0
% 177.62/27.89 (8) op(e2, e0) = all_61_13
% 177.62/27.89 (9) ~ (all_52_3 = e1)
% 177.62/27.89 (10) all_56_3 = all_52_3
% 177.62/27.89 (11) op(e0, all_52_3) = unit
% 177.62/27.89
% 177.62/27.89 Begin of proof
% 177.62/27.89 |
% 177.62/27.89 | BETA: splitting (7) gives:
% 177.62/27.89 |
% 177.62/27.89 | Case 1:
% 177.62/27.89 | |
% 177.62/27.89 | | (12) all_56_3 = e3
% 177.62/27.89 | |
% 177.62/27.89 | | COMBINE_EQS: (10), (12) imply:
% 177.62/27.89 | | (13) all_52_3 = e3
% 177.62/27.89 | |
% 177.62/27.89 | | REDUCE: (1), (13) imply:
% 177.62/27.89 | | (14) $false
% 177.62/27.89 | |
% 177.62/27.89 | | CLOSE: (14) is inconsistent.
% 177.62/27.89 | |
% 177.62/27.89 | Case 2:
% 177.62/27.89 | |
% 177.62/27.89 | | (15) all_56_3 = e2 | all_56_3 = e1 | all_56_3 = e0
% 177.62/27.89 | |
% 177.62/27.89 | | BETA: splitting (15) gives:
% 177.62/27.89 | |
% 177.62/27.89 | | Case 1:
% 177.62/27.89 | | |
% 177.62/27.89 | | | (16) all_56_3 = e2
% 177.62/27.89 | | |
% 177.62/27.89 | | | COMBINE_EQS: (10), (16) imply:
% 177.62/27.89 | | | (17) all_52_3 = e2
% 177.62/27.89 | | |
% 177.62/27.89 | | | REDUCE: (2), (17) imply:
% 177.62/27.89 | | | (18) $false
% 177.62/27.89 | | |
% 177.62/27.89 | | | CLOSE: (18) is inconsistent.
% 177.62/27.89 | | |
% 177.62/27.89 | | Case 2:
% 177.62/27.89 | | |
% 177.62/27.89 | | | (19) all_56_3 = e1 | all_56_3 = e0
% 177.62/27.89 | | |
% 177.62/27.89 | | | BETA: splitting (19) gives:
% 177.62/27.89 | | |
% 177.62/27.89 | | | Case 1:
% 177.62/27.89 | | | |
% 177.62/27.89 | | | | (20) all_56_3 = e1
% 177.62/27.89 | | | |
% 177.62/27.89 | | | | COMBINE_EQS: (10), (20) imply:
% 177.62/27.89 | | | | (21) all_52_3 = e1
% 177.62/27.89 | | | |
% 177.62/27.89 | | | | REDUCE: (9), (21) imply:
% 177.62/27.89 | | | | (22) $false
% 177.62/27.89 | | | |
% 177.62/27.89 | | | | CLOSE: (22) is inconsistent.
% 177.62/27.89 | | | |
% 177.62/27.89 | | | Case 2:
% 177.62/27.89 | | | |
% 177.62/27.89 | | | | (23) all_56_3 = e0
% 177.62/27.89 | | | |
% 177.62/27.89 | | | | COMBINE_EQS: (10), (23) imply:
% 177.62/27.89 | | | | (24) all_52_3 = e0
% 177.62/27.89 | | | |
% 177.62/27.89 | | | | REDUCE: (11), (24) imply:
% 177.62/27.89 | | | | (25) op(e0, e0) = unit
% 177.62/27.89 | | | |
% 177.62/27.89 | | | | GROUND_INST: instantiating (3) with e0, unit, e0, e0, simplifying with
% 177.62/27.89 | | | | (6), (25) gives:
% 177.62/27.89 | | | | (26) unit = e0
% 177.62/27.89 | | | |
% 177.62/27.89 | | | | REF_CLOSE: (3), (4), (5), (8), (26) are inconsistent by sub-proof #468.
% 177.62/27.89 | | | |
% 177.62/27.89 | | | End of split
% 177.62/27.89 | | |
% 177.62/27.89 | | End of split
% 177.62/27.89 | |
% 177.62/27.89 | End of split
% 177.62/27.89 |
% 177.62/27.89 End of proof
% 177.62/27.89
% 177.62/27.89 Sub-proof #290 shows that the following formulas are inconsistent:
% 177.62/27.89 ----------------------------------------------------------------
% 177.62/27.89 (1) ~ (all_58_1 = e3) | all_58_0 = e2
% 177.62/27.89 (2) op(e3, all_52_0) = unit
% 177.62/27.89 (3) all_58_0 = all_52_0
% 177.62/27.89 (4) ~ (all_14_2 = e0)
% 177.62/27.89 (5) all_56_1 = e3 | all_56_1 = e2 | all_56_1 = e1 | all_56_1 = e0
% 177.62/27.89 (6) op(all_61_7, e2) = all_61_7
% 177.62/27.89 (7) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 177.62/27.89 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 177.62/27.89 (8) ~ (all_61_13 = e2)
% 177.62/27.89 (9) all_63_0 = e3 | all_63_0 = e2 | all_63_0 = e1 | all_63_0 = e0
% 177.62/27.89 (10) op(e2, all_14_2) = all_65_16
% 177.62/27.89 (11) ~ (all_61_4 = all_14_2)
% 177.62/27.89 (12) op(all_61_4, e3) = all_65_4
% 177.62/27.89 (13) ~ (all_58_0 = e2) | all_58_1 = e3
% 177.62/27.89 (14) ~ (all_52_1 = all_52_2)
% 177.62/27.89 (15) ~ (all_58_3 = e2) | all_58_1 = e0
% 177.62/27.89 (16) op(e0, e2) = all_61_7
% 177.62/27.89 (17) op(unit, e1) = e1
% 177.62/27.89 (18) op(unit, e3) = e3
% 177.62/27.89 (19) all_56_1 = all_52_1
% 177.62/27.89 (20) all_58_3 = all_52_3
% 177.62/27.89 (21) op(e2, all_52_1) = unit
% 177.62/27.89 (22) all_58_2 = all_52_2
% 177.62/27.89 (23) ~ (all_58_1 = e0) | all_58_3 = e2
% 177.62/27.89 (24) op(e2, e0) = all_61_13
% 177.62/27.89 (25) all_63_0 = all_14_2
% 177.62/27.89 (26) all_58_1 = all_52_1
% 177.62/27.89 (27) op(e3, unit) = e3
% 177.62/27.89 (28) op(e2, e1) = all_10_1
% 177.62/27.89 (29) op(all_10_1, e1) = e2
% 177.62/27.89 (30) op(all_14_2, e2) = all_65_1
% 177.62/27.89 (31) ~ (all_14_2 = e2)
% 177.62/27.89 (32) op(all_61_1, e3) = all_65_16
% 177.62/27.89 (33) op(e2, e3) = all_61_1
% 177.62/27.89 (34) ~ (all_58_1 = e1) | all_58_2 = e2
% 177.62/27.89 (35) ~ (all_14_2 = e1)
% 177.62/27.89 (36) op(e3, e2) = all_61_4
% 177.62/27.89 (37) op(all_61_13, e2) = all_65_29
% 177.62/27.89 (38) op(e0, all_52_3) = unit
% 177.62/27.89 (39) op(e2, e2) = e2
% 177.62/27.89 (40) op(unit, e2) = e2
% 177.62/27.89
% 177.62/27.89 Begin of proof
% 177.62/27.89 |
% 177.62/27.89 | BETA: splitting (9) gives:
% 177.62/27.89 |
% 177.62/27.89 | Case 1:
% 177.62/27.89 | |
% 177.62/27.89 | | (41) all_63_0 = e3
% 177.62/27.89 | |
% 177.62/27.89 | | COMBINE_EQS: (25), (41) imply:
% 177.62/27.89 | | (42) all_14_2 = e3
% 177.62/27.89 | |
% 177.62/27.89 | | REDUCE: (11), (42) imply:
% 177.62/27.89 | | (43) ~ (all_61_4 = e3)
% 177.62/27.89 | |
% 177.62/27.89 | | REDUCE: (30), (42) imply:
% 177.62/27.89 | | (44) op(e3, e2) = all_65_1
% 177.62/27.89 | |
% 177.62/27.89 | | REDUCE: (10), (42) imply:
% 177.62/27.89 | | (45) op(e2, e3) = all_65_16
% 177.62/27.89 | |
% 177.62/27.89 | | GROUND_INST: instantiating (7) with all_61_1, all_65_16, e3, e2, simplifying
% 177.62/27.89 | | with (33), (45) gives:
% 177.62/27.89 | | (46) all_65_16 = all_61_1
% 177.62/27.89 | |
% 177.62/27.89 | | GROUND_INST: instantiating (7) with all_61_4, all_65_1, e2, e3, simplifying
% 177.62/27.89 | | with (36), (44) gives:
% 177.62/27.89 | | (47) all_65_1 = all_61_4
% 177.62/27.89 | |
% 177.62/27.89 | | REDUCE: (32), (46) imply:
% 177.62/27.89 | | (48) op(all_61_1, e3) = all_61_1
% 177.62/27.89 | |
% 177.62/27.89 | | BETA: splitting (34) gives:
% 177.62/27.89 | |
% 177.62/27.89 | | Case 1:
% 177.62/27.89 | | |
% 177.62/27.89 | | | (49) ~ (all_58_1 = e1)
% 177.62/27.89 | | |
% 177.62/27.89 | | | REDUCE: (26), (49) imply:
% 177.62/27.89 | | | (50) ~ (all_52_1 = e1)
% 177.62/27.89 | | |
% 177.62/27.89 | | | BETA: splitting (15) gives:
% 177.62/27.89 | | |
% 177.62/27.89 | | | Case 1:
% 177.62/27.89 | | | |
% 177.62/27.89 | | | | (51) ~ (all_58_3 = e2)
% 177.62/27.89 | | | |
% 177.62/27.89 | | | | REDUCE: (20), (51) imply:
% 177.62/27.89 | | | | (52) ~ (all_52_3 = e2)
% 177.62/27.89 | | | |
% 177.62/27.89 | | | | BETA: splitting (23) gives:
% 177.62/27.89 | | | |
% 177.62/27.89 | | | | Case 1:
% 177.62/27.89 | | | | |
% 177.62/27.89 | | | | | (53) ~ (all_58_1 = e0)
% 177.62/27.89 | | | | |
% 177.62/27.89 | | | | | REDUCE: (26), (53) imply:
% 177.62/27.89 | | | | | (54) ~ (all_52_1 = e0)
% 177.62/27.89 | | | | |
% 177.62/27.89 | | | | | BETA: splitting (13) gives:
% 177.62/27.89 | | | | |
% 177.62/27.89 | | | | | Case 1:
% 177.62/27.89 | | | | | |
% 177.62/27.89 | | | | | | (55) ~ (all_58_0 = e2)
% 177.62/27.89 | | | | | |
% 177.62/27.89 | | | | | | REDUCE: (3), (55) imply:
% 177.62/27.89 | | | | | | (56) ~ (all_52_0 = e2)
% 177.62/27.89 | | | | | |
% 177.62/27.89 | | | | | | BETA: splitting (1) gives:
% 177.62/27.89 | | | | | |
% 177.62/27.89 | | | | | | Case 1:
% 177.62/27.89 | | | | | | |
% 177.62/27.89 | | | | | | | (57) ~ (all_58_1 = e3)
% 177.62/27.89 | | | | | | |
% 177.62/27.89 | | | | | | | REDUCE: (26), (57) imply:
% 177.62/27.89 | | | | | | | (58) ~ (all_52_1 = e3)
% 177.62/27.89 | | | | | | |
% 177.62/27.89 | | | | | | | BETA: splitting (5) gives:
% 177.62/27.89 | | | | | | |
% 177.62/27.89 | | | | | | | Case 1:
% 177.62/27.89 | | | | | | | |
% 177.62/27.89 | | | | | | | | (59) all_56_1 = e3
% 177.62/27.89 | | | | | | | |
% 177.62/27.89 | | | | | | | | COMBINE_EQS: (19), (59) imply:
% 177.62/27.89 | | | | | | | | (60) all_52_1 = e3
% 177.62/27.89 | | | | | | | |
% 177.62/27.89 | | | | | | | | REDUCE: (58), (60) imply:
% 177.62/27.89 | | | | | | | | (61) $false
% 177.62/27.89 | | | | | | | |
% 177.62/27.89 | | | | | | | | CLOSE: (61) is inconsistent.
% 177.62/27.89 | | | | | | | |
% 177.62/27.89 | | | | | | | Case 2:
% 177.62/27.89 | | | | | | | |
% 177.62/27.89 | | | | | | | | (62) all_56_1 = e2 | all_56_1 = e1 | all_56_1 = e0
% 177.62/27.89 | | | | | | | |
% 177.62/27.89 | | | | | | | | BETA: splitting (62) gives:
% 177.62/27.89 | | | | | | | |
% 177.62/27.89 | | | | | | | | Case 1:
% 177.62/27.89 | | | | | | | | |
% 177.62/27.89 | | | | | | | | | (63) all_56_1 = e2
% 177.62/27.89 | | | | | | | | |
% 177.62/27.89 | | | | | | | | | COMBINE_EQS: (19), (63) imply:
% 177.62/27.89 | | | | | | | | | (64) all_52_1 = e2
% 177.62/27.89 | | | | | | | | |
% 177.62/27.89 | | | | | | | | | REDUCE: (21), (64) imply:
% 177.62/27.89 | | | | | | | | | (65) op(e2, e2) = unit
% 177.62/27.89 | | | | | | | | |
% 177.62/27.89 | | | | | | | | | GROUND_INST: instantiating (7) with e2, unit, e2, e2,
% 177.62/27.89 | | | | | | | | | simplifying with (39), (65) gives:
% 177.62/27.89 | | | | | | | | | (66) unit = e2
% 177.62/27.89 | | | | | | | | |
% 177.62/27.89 | | | | | | | | | REDUCE: (27), (66) imply:
% 177.62/27.89 | | | | | | | | | (67) op(e3, e2) = e3
% 177.62/27.89 | | | | | | | | |
% 177.62/27.89 | | | | | | | | | GROUND_INST: instantiating (7) with all_61_4, e3, e2, e3,
% 177.62/27.89 | | | | | | | | | simplifying with (36), (67) gives:
% 177.62/27.89 | | | | | | | | | (68) all_61_4 = e3
% 177.62/27.89 | | | | | | | | |
% 177.62/27.89 | | | | | | | | | REDUCE: (43), (68) imply:
% 177.62/27.89 | | | | | | | | | (69) $false
% 177.62/27.89 | | | | | | | | |
% 177.62/27.89 | | | | | | | | | CLOSE: (69) is inconsistent.
% 177.62/27.89 | | | | | | | | |
% 177.62/27.89 | | | | | | | | Case 2:
% 177.62/27.89 | | | | | | | | |
% 177.62/27.89 | | | | | | | | | (70) all_56_1 = e1 | all_56_1 = e0
% 177.62/27.89 | | | | | | | | |
% 177.62/27.89 | | | | | | | | | REF_CLOSE: (19), (50), (54), (70) are inconsistent by
% 177.62/27.89 | | | | | | | | | sub-proof #454.
% 177.62/27.89 | | | | | | | | |
% 177.62/27.89 | | | | | | | | End of split
% 177.62/27.89 | | | | | | | |
% 177.62/27.89 | | | | | | | End of split
% 177.62/27.89 | | | | | | |
% 177.62/27.89 | | | | | | Case 2:
% 177.62/27.89 | | | | | | |
% 177.62/27.89 | | | | | | | (71) all_58_0 = e2
% 177.62/27.89 | | | | | | |
% 177.62/27.89 | | | | | | | REF_CLOSE: (3), (56), (71) are inconsistent by sub-proof #356.
% 177.62/27.89 | | | | | | |
% 177.62/27.89 | | | | | | End of split
% 177.62/27.89 | | | | | |
% 177.62/27.89 | | | | | Case 2:
% 177.62/27.89 | | | | | |
% 177.62/27.89 | | | | | | (72) all_58_1 = e3
% 177.62/27.89 | | | | | | (73) all_58_0 = e2
% 177.62/27.89 | | | | | |
% 177.62/27.89 | | | | | | REF_CLOSE: (2), (3), (7), (12), (18), (21), (26), (33), (36), (43),
% 177.62/27.89 | | | | | | (48), (72), (73) are inconsistent by sub-proof #510.
% 177.62/27.89 | | | | | |
% 177.62/27.89 | | | | | End of split
% 177.62/27.89 | | | | |
% 177.62/27.89 | | | | Case 2:
% 177.62/27.89 | | | | |
% 177.62/27.89 | | | | | (74) all_58_3 = e2
% 177.62/27.89 | | | | |
% 177.62/27.89 | | | | | REF_CLOSE: (20), (52), (74) are inconsistent by sub-proof #459.
% 177.62/27.89 | | | | |
% 177.62/27.89 | | | | End of split
% 177.62/27.89 | | | |
% 177.62/27.89 | | | Case 2:
% 177.62/27.89 | | | |
% 177.62/27.89 | | | | (75) all_58_3 = e2
% 177.62/27.89 | | | | (76) all_58_1 = e0
% 177.62/27.89 | | | |
% 177.62/27.89 | | | | REF_CLOSE: (6), (7), (8), (16), (20), (21), (24), (26), (37), (38),
% 177.62/27.89 | | | | (40), (75), (76) are inconsistent by sub-proof #456.
% 177.62/27.89 | | | |
% 177.62/27.89 | | | End of split
% 177.62/27.89 | | |
% 177.62/27.89 | | Case 2:
% 177.62/27.89 | | |
% 177.62/27.89 | | | (77) all_58_2 = e2
% 177.62/27.89 | | | (78) all_58_1 = e1
% 177.62/27.89 | | |
% 177.62/27.89 | | | REF_CLOSE: (7), (14), (17), (21), (22), (26), (28), (29), (77), (78) are
% 177.62/27.89 | | | inconsistent by sub-proof #291.
% 177.62/27.89 | | |
% 177.62/27.89 | | End of split
% 177.62/27.89 | |
% 177.62/27.89 | Case 2:
% 177.62/27.89 | |
% 177.62/27.89 | | (79) all_63_0 = e2 | all_63_0 = e1 | all_63_0 = e0
% 177.62/27.89 | |
% 177.62/27.89 | | REF_CLOSE: (4), (25), (31), (35), (79) are inconsistent by sub-proof #503.
% 177.62/27.89 | |
% 177.62/27.89 | End of split
% 177.62/27.89 |
% 177.62/27.89 End of proof
% 177.62/27.89
% 177.62/27.89 Sub-proof #291 shows that the following formulas are inconsistent:
% 177.62/27.89 ----------------------------------------------------------------
% 177.62/27.89 (1) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 177.62/27.89 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 177.62/27.89 (2) ~ (all_52_1 = all_52_2)
% 177.62/27.89 (3) op(unit, e1) = e1
% 177.62/27.89 (4) op(e2, all_52_1) = unit
% 177.62/27.89 (5) all_58_2 = all_52_2
% 177.62/27.89 (6) all_58_1 = all_52_1
% 177.62/27.89 (7) all_58_1 = e1
% 177.62/27.89 (8) op(e2, e1) = all_10_1
% 177.62/27.89 (9) op(all_10_1, e1) = e2
% 177.62/27.89 (10) all_58_2 = e2
% 177.62/27.89
% 177.62/27.89 Begin of proof
% 177.62/27.89 |
% 177.62/27.89 | COMBINE_EQS: (6), (7) imply:
% 177.62/27.89 | (11) all_52_1 = e1
% 177.62/27.89 |
% 177.62/27.89 | SIMP: (11) implies:
% 177.62/27.89 | (12) all_52_1 = e1
% 177.62/27.89 |
% 177.62/27.89 | COMBINE_EQS: (5), (10) imply:
% 177.62/27.89 | (13) all_52_2 = e2
% 177.62/27.89 |
% 177.62/27.89 | REF_CLOSE: (1), (2), (3), (4), (8), (9), (12), (13) are inconsistent by
% 177.62/27.89 | sub-proof #292.
% 177.62/27.89 |
% 177.62/27.89 End of proof
% 177.62/27.89
% 177.62/27.89 Sub-proof #292 shows that the following formulas are inconsistent:
% 177.62/27.89 ----------------------------------------------------------------
% 177.62/27.89 (1) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 177.62/27.89 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 177.62/27.89 (2) ~ (all_52_1 = all_52_2)
% 177.62/27.89 (3) op(unit, e1) = e1
% 177.62/27.89 (4) all_52_2 = e2
% 177.62/27.89 (5) op(e2, all_52_1) = unit
% 177.62/27.89 (6) op(e2, e1) = all_10_1
% 177.62/27.89 (7) op(all_10_1, e1) = e2
% 177.62/27.89 (8) all_52_1 = e1
% 177.62/27.89
% 177.62/27.89 Begin of proof
% 177.62/27.89 |
% 177.62/27.89 | REDUCE: (2), (4), (8) imply:
% 177.62/27.89 | (9) ~ (e2 = e1)
% 177.62/27.89 |
% 177.62/27.89 | SIMP: (9) implies:
% 177.62/27.89 | (10) ~ (e2 = e1)
% 177.62/27.89 |
% 177.62/27.89 | REDUCE: (5), (8) imply:
% 177.62/27.89 | (11) op(e2, e1) = unit
% 177.62/27.89 |
% 177.62/27.89 | REF_CLOSE: (1), (3), (6), (7), (10), (11) are inconsistent by sub-proof #293.
% 177.62/27.89 |
% 177.62/27.89 End of proof
% 177.62/27.89
% 177.62/27.89 Sub-proof #293 shows that the following formulas are inconsistent:
% 177.62/27.89 ----------------------------------------------------------------
% 177.62/27.89 (1) op(e2, e1) = unit
% 177.62/27.89 (2) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 177.62/27.89 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 177.62/27.89 (3) ~ (e2 = e1)
% 177.62/27.89 (4) op(unit, e1) = e1
% 177.62/27.89 (5) op(e2, e1) = all_10_1
% 177.62/27.89 (6) op(all_10_1, e1) = e2
% 177.62/27.89
% 177.62/27.89 Begin of proof
% 177.62/27.89 |
% 177.62/27.89 | GROUND_INST: instantiating (2) with all_10_1, unit, e1, e2, simplifying with
% 177.62/27.89 | (1), (5) gives:
% 177.62/27.89 | (7) all_10_1 = unit
% 177.62/27.89 |
% 177.62/27.90 | REDUCE: (6), (7) imply:
% 177.62/27.90 | (8) op(unit, e1) = e2
% 177.62/27.90 |
% 177.62/27.90 | GROUND_INST: instantiating (2) with e1, e2, e1, unit, simplifying with (4),
% 177.62/27.90 | (8) gives:
% 177.62/27.90 | (9) e2 = e1
% 177.62/27.90 |
% 177.62/27.90 | REDUCE: (3), (9) imply:
% 177.62/27.90 | (10) $false
% 177.62/27.90 |
% 177.62/27.90 | CLOSE: (10) is inconsistent.
% 177.62/27.90 |
% 177.62/27.90 End of proof
% 177.62/27.90
% 177.62/27.90 Sub-proof #294 shows that the following formulas are inconsistent:
% 177.62/27.90 ----------------------------------------------------------------
% 177.62/27.90 (1) all_63_10 = all_4_2
% 177.62/27.90 (2) all_63_10 = e0
% 177.62/27.90 (3) ~ (all_4_2 = e0)
% 177.62/27.90
% 177.62/27.90 Begin of proof
% 177.62/27.90 |
% 177.62/27.90 | COMBINE_EQS: (1), (2) imply:
% 177.62/27.90 | (4) all_4_2 = e0
% 177.62/27.90 |
% 177.62/27.90 | SIMP: (4) implies:
% 177.62/27.90 | (5) all_4_2 = e0
% 177.62/27.90 |
% 177.62/27.90 | REDUCE: (3), (5) imply:
% 177.62/27.90 | (6) $false
% 177.62/27.90 |
% 177.62/27.90 | CLOSE: (6) is inconsistent.
% 177.62/27.90 |
% 177.62/27.90 End of proof
% 177.62/27.90
% 177.62/27.90 Sub-proof #295 shows that the following formulas are inconsistent:
% 177.62/27.90 ----------------------------------------------------------------
% 177.62/27.90 (1) all_63_4 = all_14_1
% 177.62/27.90 (2) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 177.62/27.90 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 177.62/27.90 (3) ~ (all_14_1 = e1)
% 177.62/27.90 (4) ~ (all_14_1 = e2)
% 177.62/27.90 (5) all_63_4 = e3 | all_63_4 = e2 | all_63_4 = e1 | all_63_4 = e0
% 177.62/27.90 (6) op(e0, e3) = e1
% 177.62/27.90 (7) ~ (all_14_1 = e3)
% 177.62/27.90 (8) ~ (all_14_1 = e0) | ( ~ (all_14_0 = e1) & op(e0, e3) = all_14_0 &
% 177.62/27.90 $i(all_14_0))
% 177.62/27.90
% 177.62/27.90 Begin of proof
% 177.62/27.90 |
% 177.62/27.90 | BETA: splitting (5) gives:
% 177.62/27.90 |
% 177.62/27.90 | Case 1:
% 177.62/27.90 | |
% 177.62/27.90 | | (9) all_63_4 = e3
% 177.62/27.90 | |
% 177.62/27.90 | | COMBINE_EQS: (1), (9) imply:
% 177.62/27.90 | | (10) all_14_1 = e3
% 177.62/27.90 | |
% 177.62/27.90 | | REDUCE: (7), (10) imply:
% 177.62/27.90 | | (11) $false
% 177.62/27.90 | |
% 177.62/27.90 | | CLOSE: (11) is inconsistent.
% 177.62/27.90 | |
% 177.62/27.90 | Case 2:
% 177.62/27.90 | |
% 177.62/27.90 | | (12) all_63_4 = e2 | all_63_4 = e1 | all_63_4 = e0
% 177.62/27.90 | |
% 177.62/27.90 | | BETA: splitting (12) gives:
% 177.62/27.90 | |
% 177.62/27.90 | | Case 1:
% 177.62/27.90 | | |
% 177.62/27.90 | | | (13) all_63_4 = e2
% 177.62/27.90 | | |
% 177.62/27.90 | | | COMBINE_EQS: (1), (13) imply:
% 177.62/27.90 | | | (14) all_14_1 = e2
% 177.62/27.90 | | |
% 177.62/27.90 | | | REDUCE: (4), (14) imply:
% 177.62/27.90 | | | (15) $false
% 177.62/27.90 | | |
% 177.62/27.90 | | | CLOSE: (15) is inconsistent.
% 177.62/27.90 | | |
% 177.62/27.90 | | Case 2:
% 177.62/27.90 | | |
% 177.62/27.90 | | | (16) all_63_4 = e1 | all_63_4 = e0
% 177.62/27.90 | | |
% 177.62/27.90 | | | REF_CLOSE: (1), (2), (3), (6), (8), (16) are inconsistent by sub-proof
% 177.62/27.90 | | | #303.
% 177.62/27.90 | | |
% 177.62/27.90 | | End of split
% 177.62/27.90 | |
% 177.62/27.90 | End of split
% 177.62/27.90 |
% 177.62/27.90 End of proof
% 177.62/27.90
% 177.62/27.90 Sub-proof #296 shows that the following formulas are inconsistent:
% 177.62/27.90 ----------------------------------------------------------------
% 177.62/27.90 (1) all_63_4 = all_14_1
% 177.62/27.90 (2) ~ (all_14_1 = e2)
% 177.62/27.90 (3) all_63_4 = e3 | all_63_4 = e2 | all_63_4 = e1 | all_63_4 = e0
% 177.62/27.90 (4) ~ (all_61_14 = e3)
% 177.62/27.90 (5) ~ (all_61_8 = e2)
% 177.62/27.90 (6) ~ (all_14_1 = e0)
% 177.62/27.90 (7) ~ (all_61_8 = all_14_1)
% 177.62/27.90 (8) all_63_2 = e3 | all_63_2 = e2 | all_63_2 = e1 | all_63_2 = e0
% 177.62/27.90 (9) ~ (all_61_14 = unit)
% 177.62/27.90 (10) ~ (unit = e2)
% 177.62/27.90 (11) unit = e2 | unit = e1 | unit = e0
% 177.62/27.90 (12) ~ (all_61_8 = all_61_14)
% 177.62/27.90 (13) ~ (unit = e0)
% 177.62/27.90 (14) all_63_14 = e3 | all_63_14 = e2 | all_63_14 = e1 | all_63_14 = e0
% 177.62/27.90 (15) all_63_14 = all_61_14
% 177.62/27.90 (16) ~ (all_61_14 = e2)
% 177.62/27.90 (17) ~ (all_61_8 = unit)
% 177.62/27.90 (18) ~ (all_14_1 = unit)
% 177.62/27.90 (19) all_63_2 = all_61_8
% 177.62/27.90
% 177.62/27.90 Begin of proof
% 177.62/27.90 |
% 177.62/27.90 | BETA: splitting (11) gives:
% 177.62/27.90 |
% 177.62/27.90 | Case 1:
% 177.62/27.90 | |
% 177.62/27.90 | | (20) unit = e2
% 177.62/27.90 | |
% 177.62/27.90 | | REDUCE: (10), (20) imply:
% 177.62/27.90 | | (21) $false
% 177.62/27.90 | |
% 177.62/27.90 | | CLOSE: (21) is inconsistent.
% 177.62/27.90 | |
% 177.62/27.90 | Case 2:
% 177.62/27.90 | |
% 177.62/27.90 | | (22) unit = e1 | unit = e0
% 177.62/27.90 | |
% 177.62/27.90 | | BETA: splitting (22) gives:
% 177.62/27.90 | |
% 177.62/27.90 | | Case 1:
% 177.62/27.90 | | |
% 177.62/27.90 | | | (23) unit = e1
% 177.62/27.90 | | |
% 177.62/27.90 | | | REDUCE: (17), (23) imply:
% 177.62/27.90 | | | (24) ~ (all_61_8 = e1)
% 177.62/27.90 | | |
% 177.62/27.90 | | | REDUCE: (9), (23) imply:
% 177.62/27.90 | | | (25) ~ (all_61_14 = e1)
% 177.62/27.90 | | |
% 177.62/27.90 | | | REDUCE: (18), (23) imply:
% 177.62/27.90 | | | (26) ~ (all_14_1 = e1)
% 177.62/27.90 | | |
% 177.62/27.90 | | | BETA: splitting (14) gives:
% 177.62/27.90 | | |
% 177.62/27.90 | | | Case 1:
% 177.62/27.90 | | | |
% 177.62/27.90 | | | | (27) all_63_14 = e3
% 177.62/27.90 | | | |
% 177.62/27.90 | | | | COMBINE_EQS: (15), (27) imply:
% 177.62/27.90 | | | | (28) all_61_14 = e3
% 177.62/27.90 | | | |
% 177.62/27.90 | | | | REDUCE: (4), (28) imply:
% 177.62/27.90 | | | | (29) $false
% 177.62/27.90 | | | |
% 177.62/27.90 | | | | CLOSE: (29) is inconsistent.
% 177.62/27.90 | | | |
% 177.62/27.90 | | | Case 2:
% 177.62/27.90 | | | |
% 177.62/27.90 | | | | (30) all_63_14 = e2 | all_63_14 = e1 | all_63_14 = e0
% 177.62/27.90 | | | |
% 177.62/27.90 | | | | BETA: splitting (30) gives:
% 177.62/27.90 | | | |
% 177.62/27.90 | | | | Case 1:
% 177.62/27.90 | | | | |
% 177.62/27.90 | | | | | (31) all_63_14 = e2
% 177.62/27.90 | | | | |
% 177.62/27.90 | | | | | COMBINE_EQS: (15), (31) imply:
% 177.62/27.90 | | | | | (32) all_61_14 = e2
% 177.62/27.90 | | | | |
% 177.62/27.90 | | | | | REDUCE: (16), (32) imply:
% 177.62/27.90 | | | | | (33) $false
% 177.62/27.90 | | | | |
% 177.62/27.90 | | | | | CLOSE: (33) is inconsistent.
% 177.62/27.90 | | | | |
% 177.62/27.90 | | | | Case 2:
% 177.62/27.90 | | | | |
% 177.62/27.90 | | | | | (34) all_63_14 = e1 | all_63_14 = e0
% 177.62/27.90 | | | | |
% 177.62/27.90 | | | | | BETA: splitting (34) gives:
% 177.62/27.90 | | | | |
% 177.62/27.90 | | | | | Case 1:
% 177.62/27.90 | | | | | |
% 177.62/27.90 | | | | | | (35) all_63_14 = e1
% 177.62/27.90 | | | | | |
% 177.62/27.90 | | | | | | COMBINE_EQS: (15), (35) imply:
% 177.62/27.90 | | | | | | (36) all_61_14 = e1
% 177.62/27.90 | | | | | |
% 177.62/27.90 | | | | | | REDUCE: (25), (36) imply:
% 177.62/27.90 | | | | | | (37) $false
% 177.62/27.90 | | | | | |
% 177.62/27.90 | | | | | | CLOSE: (37) is inconsistent.
% 177.62/27.90 | | | | | |
% 177.62/27.90 | | | | | Case 2:
% 177.62/27.90 | | | | | |
% 177.62/27.90 | | | | | | (38) all_63_14 = e0
% 177.62/27.90 | | | | | |
% 177.62/27.90 | | | | | | COMBINE_EQS: (15), (38) imply:
% 177.62/27.90 | | | | | | (39) all_61_14 = e0
% 177.62/27.90 | | | | | |
% 177.62/27.90 | | | | | | REDUCE: (12), (39) imply:
% 177.62/27.90 | | | | | | (40) ~ (all_61_8 = e0)
% 177.62/27.90 | | | | | |
% 177.62/27.90 | | | | | | REF_CLOSE: (1), (2), (3), (5), (6), (7), (8), (19), (24), (26), (40)
% 177.62/27.90 | | | | | | are inconsistent by sub-proof #300.
% 177.62/27.90 | | | | | |
% 177.62/27.90 | | | | | End of split
% 177.62/27.90 | | | | |
% 177.62/27.90 | | | | End of split
% 177.62/27.90 | | | |
% 177.62/27.90 | | | End of split
% 177.62/27.90 | | |
% 177.62/27.90 | | Case 2:
% 177.62/27.90 | | |
% 177.62/27.90 | | | (41) ~ (unit = e1)
% 177.62/27.90 | | |
% 177.62/27.90 | | | REF_CLOSE: (13), (22), (41) are inconsistent by sub-proof #419.
% 177.62/27.90 | | |
% 177.62/27.90 | | End of split
% 177.62/27.90 | |
% 177.62/27.90 | End of split
% 177.62/27.90 |
% 177.62/27.90 End of proof
% 177.62/27.90
% 177.62/27.90 Sub-proof #297 shows that the following formulas are inconsistent:
% 177.62/27.90 ----------------------------------------------------------------
% 177.62/27.90 (1) all_56_0 = e3 | all_56_0 = e2 | all_56_0 = e1 | all_56_0 = e0
% 177.62/27.90 (2) ~ (all_58_1 = e3) | all_58_0 = e2
% 177.62/27.90 (3) all_58_3 = e1
% 177.62/27.90 (4) op(e3, all_52_0) = unit
% 177.62/27.90 (5) all_63_4 = all_14_1
% 177.62/27.90 (6) ~ (all_52_0 = all_52_3)
% 177.62/27.90 (7) all_58_0 = all_52_0
% 177.62/27.90 (8) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 177.62/27.90 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 177.62/27.90 (9) ~ (all_14_1 = e1)
% 177.62/27.90 (10) all_52_2 = e0
% 177.62/27.90 (11) op(e2, unit) = e2
% 177.62/27.90 (12) op(e2, e2) = e1
% 177.62/27.90 (13) ~ (all_14_1 = e2)
% 177.62/27.90 (14) all_63_4 = e3 | all_63_4 = e2 | all_63_4 = e1 | all_63_4 = e0
% 177.62/27.90 (15) ~ (all_58_0 = e2) | all_58_1 = e3
% 177.62/27.90 (16) op(all_14_1, e3) = e1
% 177.62/27.90 (17) ~ (e2 = e1)
% 177.62/27.90 (18) all_58_3 = all_52_3
% 177.62/27.90 (19) unit = e2 | unit = e1 | unit = e0
% 177.62/27.90 (20) op(e3, e3) = e2
% 177.62/27.90 (21) all_58_1 = all_52_1
% 177.62/27.90 (22) op(e3, e2) = all_14_1
% 177.62/27.90 (23) ~ (all_52_0 = all_52_2)
% 177.62/27.90 (24) ~ (unit = e3)
% 177.62/27.90 (25) ~ (all_14_1 = e0) | ( ~ (all_14_0 = e1) & op(e0, e3) = all_14_0 &
% 177.62/27.90 $i(all_14_0))
% 177.62/27.90 (26) all_56_0 = all_52_0
% 177.62/27.90
% 177.62/27.90 Begin of proof
% 177.62/27.90 |
% 177.62/27.90 | COMBINE_EQS: (3), (18) imply:
% 177.62/27.90 | (27) all_52_3 = e1
% 177.62/27.90 |
% 177.62/27.90 | REDUCE: (10), (23) imply:
% 177.62/27.90 | (28) ~ (all_52_0 = e0)
% 177.62/27.90 |
% 177.62/27.90 | REDUCE: (6), (27) imply:
% 177.62/27.90 | (29) ~ (all_52_0 = e1)
% 177.62/27.90 |
% 177.62/27.90 | REF_CLOSE: (1), (2), (4), (5), (7), (8), (9), (11), (12), (13), (14), (15),
% 177.62/27.90 | (16), (17), (19), (20), (21), (22), (24), (25), (26), (28), (29)
% 177.62/27.90 | are inconsistent by sub-proof #302.
% 177.62/27.90 |
% 177.62/27.90 End of proof
% 177.62/27.90
% 177.62/27.90 Sub-proof #298 shows that the following formulas are inconsistent:
% 177.62/27.90 ----------------------------------------------------------------
% 177.62/27.90 (1) ~ (all_61_14 = all_12_1)
% 177.62/27.90 (2) ~ (all_12_1 = e1)
% 177.62/27.90 (3) ~ (all_61_14 = e1)
% 177.62/27.90 (4) ~ (all_61_14 = e3)
% 177.62/27.90 (5) all_63_11 = e3 | all_63_11 = e2 | all_63_11 = e1 | all_63_11 = e0
% 177.62/27.90 (6) all_63_6 = e3 | all_63_6 = e2 | all_63_6 = e1 | all_63_6 = e0
% 177.62/27.90 (7) all_63_6 = all_12_1
% 177.62/27.90 (8) ~ (all_12_1 = e0)
% 177.62/27.90 (9) all_63_11 = all_61_14
% 177.62/27.90 (10) ~ (all_12_1 = e3)
% 177.62/27.90 (11) ~ (all_61_14 = e0)
% 177.62/27.90
% 177.62/27.90 Begin of proof
% 177.62/27.90 |
% 177.62/27.90 | BETA: splitting (5) gives:
% 177.62/27.90 |
% 177.62/27.90 | Case 1:
% 177.62/27.90 | |
% 177.62/27.90 | | (12) all_63_11 = e3
% 177.62/27.90 | |
% 177.62/27.90 | | COMBINE_EQS: (9), (12) imply:
% 177.62/27.90 | | (13) all_61_14 = e3
% 177.62/27.90 | |
% 177.62/27.90 | | REDUCE: (4), (13) imply:
% 177.62/27.90 | | (14) $false
% 177.62/27.90 | |
% 177.62/27.90 | | CLOSE: (14) is inconsistent.
% 177.62/27.90 | |
% 177.62/27.90 | Case 2:
% 177.62/27.90 | |
% 177.62/27.90 | | (15) all_63_11 = e2 | all_63_11 = e1 | all_63_11 = e0
% 177.62/27.90 | |
% 177.62/27.90 | | BETA: splitting (15) gives:
% 177.62/27.90 | |
% 177.62/27.90 | | Case 1:
% 177.62/27.90 | | |
% 177.62/27.90 | | | (16) all_63_11 = e2
% 177.62/27.90 | | |
% 177.62/27.90 | | | COMBINE_EQS: (9), (16) imply:
% 177.62/27.90 | | | (17) all_61_14 = e2
% 177.62/27.90 | | |
% 177.62/27.90 | | | REDUCE: (1), (17) imply:
% 177.62/27.90 | | | (18) ~ (all_12_1 = e2)
% 177.62/27.90 | | |
% 177.62/27.90 | | | SIMP: (18) implies:
% 177.62/27.90 | | | (19) ~ (all_12_1 = e2)
% 177.62/27.90 | | |
% 177.62/27.90 | | | BETA: splitting (6) gives:
% 177.62/27.90 | | |
% 177.62/27.90 | | | Case 1:
% 177.62/27.90 | | | |
% 177.62/27.90 | | | | (20) all_63_6 = e3
% 177.62/27.90 | | | |
% 177.62/27.90 | | | | COMBINE_EQS: (7), (20) imply:
% 177.62/27.90 | | | | (21) all_12_1 = e3
% 177.62/27.90 | | | |
% 177.62/27.90 | | | | REDUCE: (10), (21) imply:
% 177.62/27.90 | | | | (22) $false
% 177.62/27.90 | | | |
% 177.62/27.90 | | | | CLOSE: (22) is inconsistent.
% 177.62/27.90 | | | |
% 177.62/27.90 | | | Case 2:
% 177.62/27.90 | | | |
% 177.62/27.90 | | | | (23) all_63_6 = e2 | all_63_6 = e1 | all_63_6 = e0
% 177.62/27.90 | | | |
% 177.62/27.90 | | | | BETA: splitting (23) gives:
% 177.62/27.90 | | | |
% 177.62/27.90 | | | | Case 1:
% 177.62/27.90 | | | | |
% 177.62/27.90 | | | | | (24) all_63_6 = e2
% 177.62/27.90 | | | | |
% 177.62/27.90 | | | | | COMBINE_EQS: (7), (24) imply:
% 177.62/27.90 | | | | | (25) all_12_1 = e2
% 177.62/27.90 | | | | |
% 177.62/27.90 | | | | | REDUCE: (19), (25) imply:
% 177.62/27.90 | | | | | (26) $false
% 177.62/27.90 | | | | |
% 177.62/27.90 | | | | | CLOSE: (26) is inconsistent.
% 177.62/27.90 | | | | |
% 177.62/27.90 | | | | Case 2:
% 177.62/27.90 | | | | |
% 177.62/27.90 | | | | | (27) all_63_6 = e1 | all_63_6 = e0
% 177.62/27.90 | | | | |
% 177.62/27.90 | | | | | BETA: splitting (27) gives:
% 177.62/27.90 | | | | |
% 177.62/27.90 | | | | | Case 1:
% 177.62/27.90 | | | | | |
% 177.62/27.90 | | | | | | (28) all_63_6 = e1
% 177.62/27.90 | | | | | |
% 177.62/27.90 | | | | | | COMBINE_EQS: (7), (28) imply:
% 177.62/27.90 | | | | | | (29) all_12_1 = e1
% 177.62/27.90 | | | | | |
% 177.62/27.90 | | | | | | REDUCE: (2), (29) imply:
% 177.62/27.90 | | | | | | (30) $false
% 177.62/27.90 | | | | | |
% 177.62/27.90 | | | | | | CLOSE: (30) is inconsistent.
% 177.62/27.90 | | | | | |
% 177.62/27.90 | | | | | Case 2:
% 177.62/27.90 | | | | | |
% 177.62/27.90 | | | | | | (31) all_63_6 = e0
% 177.62/27.90 | | | | | |
% 177.62/27.90 | | | | | | COMBINE_EQS: (7), (31) imply:
% 177.62/27.90 | | | | | | (32) all_12_1 = e0
% 177.62/27.90 | | | | | |
% 177.62/27.90 | | | | | | REDUCE: (8), (32) imply:
% 177.62/27.90 | | | | | | (33) $false
% 177.62/27.90 | | | | | |
% 177.62/27.90 | | | | | | CLOSE: (33) is inconsistent.
% 177.62/27.90 | | | | | |
% 177.62/27.90 | | | | | End of split
% 177.62/27.90 | | | | |
% 177.62/27.90 | | | | End of split
% 177.62/27.90 | | | |
% 177.62/27.90 | | | End of split
% 177.62/27.90 | | |
% 177.62/27.90 | | Case 2:
% 177.62/27.90 | | |
% 177.62/27.90 | | | (34) all_63_11 = e1 | all_63_11 = e0
% 177.62/27.90 | | |
% 177.62/27.90 | | | REF_CLOSE: (3), (9), (11), (34) are inconsistent by sub-proof #522.
% 177.62/27.90 | | |
% 177.62/27.90 | | End of split
% 177.62/27.90 | |
% 177.62/27.90 | End of split
% 177.62/27.90 |
% 177.62/27.90 End of proof
% 177.62/27.90
% 177.62/27.90 Sub-proof #299 shows that the following formulas are inconsistent:
% 177.62/27.90 ----------------------------------------------------------------
% 177.62/27.90 (1) ~ (all_60_3 = e1) & op(e0, e0) = all_60_3 & $i(all_60_3)
% 177.62/27.90 (2) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 177.62/27.90 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 177.62/27.90 (3) op(e0, e0) = e1
% 177.62/27.90
% 177.62/27.90 Begin of proof
% 177.62/27.90 |
% 177.62/27.90 | ALPHA: (1) implies:
% 177.62/27.90 | (4) ~ (all_60_3 = e1)
% 177.62/27.90 | (5) op(e0, e0) = all_60_3
% 177.62/27.90 |
% 177.62/27.90 | GROUND_INST: instantiating (2) with e1, all_60_3, e0, e0, simplifying with
% 177.62/27.90 | (3), (5) gives:
% 177.62/27.90 | (6) all_60_3 = e1
% 177.62/27.90 |
% 177.62/27.90 | REDUCE: (4), (6) imply:
% 177.62/27.90 | (7) $false
% 177.62/27.90 |
% 177.62/27.90 | CLOSE: (7) is inconsistent.
% 177.62/27.90 |
% 177.62/27.90 End of proof
% 177.62/27.90
% 177.62/27.90 Sub-proof #300 shows that the following formulas are inconsistent:
% 177.62/27.90 ----------------------------------------------------------------
% 177.62/27.90 (1) all_63_4 = all_14_1
% 177.62/27.90 (2) ~ (all_61_8 = e0)
% 177.62/27.90 (3) ~ (all_14_1 = e1)
% 177.62/27.90 (4) ~ (all_14_1 = e2)
% 177.62/27.90 (5) all_63_4 = e3 | all_63_4 = e2 | all_63_4 = e1 | all_63_4 = e0
% 177.62/27.90 (6) ~ (all_61_8 = e2)
% 177.62/27.90 (7) ~ (all_14_1 = e0)
% 177.62/27.90 (8) ~ (all_61_8 = all_14_1)
% 177.62/27.90 (9) all_63_2 = e3 | all_63_2 = e2 | all_63_2 = e1 | all_63_2 = e0
% 177.62/27.90 (10) ~ (all_61_8 = e1)
% 177.62/27.90 (11) all_63_2 = all_61_8
% 177.62/27.90
% 177.62/27.90 Begin of proof
% 177.62/27.90 |
% 177.62/27.90 | BETA: splitting (5) gives:
% 177.62/27.90 |
% 177.62/27.90 | Case 1:
% 177.62/27.90 | |
% 177.62/27.90 | | (12) all_63_4 = e3
% 177.62/27.90 | |
% 177.62/27.90 | | COMBINE_EQS: (1), (12) imply:
% 177.62/27.90 | | (13) all_14_1 = e3
% 177.62/27.90 | |
% 177.62/27.90 | | REDUCE: (8), (13) imply:
% 177.62/27.90 | | (14) ~ (all_61_8 = e3)
% 177.62/27.90 | |
% 177.62/27.90 | | REF_CLOSE: (2), (6), (9), (10), (11), (14) are inconsistent by sub-proof
% 177.62/27.90 | | #400.
% 177.62/27.90 | |
% 177.62/27.90 | Case 2:
% 177.62/27.90 | |
% 177.62/27.90 | | (15) all_63_4 = e2 | all_63_4 = e1 | all_63_4 = e0
% 177.62/27.90 | |
% 177.62/27.90 | | REF_CLOSE: (1), (3), (4), (7), (15) are inconsistent by sub-proof #354.
% 177.62/27.90 | |
% 177.62/27.90 | End of split
% 177.62/27.90 |
% 177.62/27.90 End of proof
% 177.62/27.90
% 177.62/27.90 Sub-proof #301 shows that the following formulas are inconsistent:
% 177.62/27.90 ----------------------------------------------------------------
% 177.62/27.90 (1) ~ (all_52_0 = all_52_1)
% 177.62/27.90 (2) op(e3, all_52_0) = unit
% 177.62/27.90 (3) all_56_1 = e3 | all_56_1 = e2 | all_56_1 = e1 | all_56_1 = e0
% 177.62/27.90 (4) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 177.62/27.90 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 177.62/27.90 (5) op(e2, e2) = e1
% 177.62/27.90 (6) op(e3, e1) = all_61_8
% 177.62/27.90 (7) all_52_0 = e1
% 177.62/27.90 (8) all_52_2 = e3
% 177.62/27.90 (9) ~ (all_52_1 = all_52_2)
% 177.62/27.90 (10) all_56_1 = all_52_1
% 177.62/27.90 (11) op(e2, all_52_1) = unit
% 177.62/27.90 (12) ~ (all_52_1 = e0)
% 177.62/27.90 (13) ~ (all_61_8 = e1)
% 177.62/27.90
% 177.62/27.90 Begin of proof
% 177.62/27.90 |
% 177.62/27.90 | REDUCE: (1), (7) imply:
% 177.62/27.90 | (14) ~ (all_52_1 = e1)
% 177.62/27.90 |
% 177.62/27.90 | SIMP: (14) implies:
% 177.62/27.90 | (15) ~ (all_52_1 = e1)
% 177.62/27.90 |
% 177.62/27.90 | REDUCE: (8), (9) imply:
% 177.62/27.90 | (16) ~ (all_52_1 = e3)
% 177.62/27.90 |
% 177.62/27.90 | REDUCE: (2), (7) imply:
% 177.62/27.90 | (17) op(e3, e1) = unit
% 177.62/27.90 |
% 177.62/27.90 | BETA: splitting (3) gives:
% 177.62/27.90 |
% 177.62/27.90 | Case 1:
% 177.62/27.90 | |
% 177.62/27.90 | | (18) all_56_1 = e3
% 177.62/27.90 | |
% 177.62/27.90 | | REF_CLOSE: (10), (16), (18) are inconsistent by sub-proof #455.
% 177.62/27.90 | |
% 177.62/27.90 | Case 2:
% 177.62/27.90 | |
% 177.62/27.90 | | (19) all_56_1 = e2 | all_56_1 = e1 | all_56_1 = e0
% 177.62/27.90 | |
% 177.62/27.90 | | BETA: splitting (19) gives:
% 177.62/27.90 | |
% 177.62/27.90 | | Case 1:
% 177.62/27.90 | | |
% 177.62/27.90 | | | (20) all_56_1 = e2
% 177.62/27.90 | | |
% 177.62/27.90 | | | COMBINE_EQS: (10), (20) imply:
% 177.62/27.90 | | | (21) all_52_1 = e2
% 177.62/27.90 | | |
% 177.62/27.90 | | | SIMP: (21) implies:
% 177.62/27.90 | | | (22) all_52_1 = e2
% 177.62/27.90 | | |
% 177.62/27.90 | | | REDUCE: (11), (22) imply:
% 177.62/27.90 | | | (23) op(e2, e2) = unit
% 177.62/27.90 | | |
% 177.62/27.90 | | | GROUND_INST: instantiating (4) with e1, unit, e2, e2, simplifying with
% 177.62/27.90 | | | (5), (23) gives:
% 177.62/27.90 | | | (24) unit = e1
% 177.62/27.90 | | |
% 177.62/27.90 | | | GROUND_INST: instantiating (4) with all_61_8, unit, e1, e3, simplifying
% 177.62/27.90 | | | with (6), (17) gives:
% 177.62/27.90 | | | (25) all_61_8 = unit
% 177.62/27.90 | | |
% 177.62/27.90 | | | COMBINE_EQS: (24), (25) imply:
% 177.62/27.90 | | | (26) all_61_8 = e1
% 177.62/27.90 | | |
% 177.62/27.90 | | | REDUCE: (13), (26) imply:
% 177.62/27.90 | | | (27) $false
% 177.62/27.90 | | |
% 177.62/27.90 | | | CLOSE: (27) is inconsistent.
% 177.62/27.90 | | |
% 177.62/27.90 | | Case 2:
% 177.62/27.90 | | |
% 177.62/27.90 | | | (28) all_56_1 = e1 | all_56_1 = e0
% 177.62/27.90 | | |
% 177.62/27.90 | | | REF_CLOSE: (10), (12), (15), (28) are inconsistent by sub-proof #454.
% 177.62/27.90 | | |
% 177.62/27.90 | | End of split
% 177.62/27.90 | |
% 177.62/27.90 | End of split
% 177.62/27.90 |
% 177.62/27.90 End of proof
% 177.62/27.90
% 177.62/27.90 Sub-proof #302 shows that the following formulas are inconsistent:
% 177.62/27.90 ----------------------------------------------------------------
% 177.62/27.90 (1) all_56_0 = e3 | all_56_0 = e2 | all_56_0 = e1 | all_56_0 = e0
% 177.62/27.90 (2) ~ (all_58_1 = e3) | all_58_0 = e2
% 177.62/27.90 (3) op(e3, all_52_0) = unit
% 177.62/27.90 (4) all_63_4 = all_14_1
% 177.62/27.90 (5) all_58_0 = all_52_0
% 177.62/27.90 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 177.62/27.90 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 177.62/27.90 (7) ~ (all_14_1 = e1)
% 177.62/27.90 (8) op(e2, unit) = e2
% 177.62/27.90 (9) op(e2, e2) = e1
% 177.62/27.90 (10) ~ (all_52_0 = e1)
% 177.62/27.90 (11) ~ (all_14_1 = e2)
% 177.62/27.90 (12) ~ (all_52_0 = e0)
% 177.62/27.90 (13) all_63_4 = e3 | all_63_4 = e2 | all_63_4 = e1 | all_63_4 = e0
% 177.62/27.90 (14) ~ (all_58_0 = e2) | all_58_1 = e3
% 177.62/27.90 (15) op(all_14_1, e3) = e1
% 177.62/27.90 (16) ~ (e2 = e1)
% 177.62/27.90 (17) unit = e2 | unit = e1 | unit = e0
% 177.62/27.90 (18) op(e3, e3) = e2
% 177.62/27.90 (19) all_58_1 = all_52_1
% 177.62/27.90 (20) op(e3, e2) = all_14_1
% 177.62/27.90 (21) ~ (unit = e3)
% 177.62/27.90 (22) ~ (all_14_1 = e0) | ( ~ (all_14_0 = e1) & op(e0, e3) = all_14_0 &
% 177.62/27.90 $i(all_14_0))
% 177.62/27.90 (23) all_56_0 = all_52_0
% 177.62/27.90
% 177.62/27.90 Begin of proof
% 177.62/27.90 |
% 177.62/27.90 | BETA: splitting (2) gives:
% 177.62/27.90 |
% 177.62/27.90 | Case 1:
% 177.62/27.90 | |
% 177.62/27.90 | | (24) ~ (all_58_1 = e3)
% 177.62/27.90 | |
% 177.62/27.90 | | REDUCE: (19), (24) imply:
% 177.62/27.90 | | (25) ~ (all_52_1 = e3)
% 177.62/27.90 | |
% 177.62/27.90 | | BETA: splitting (14) gives:
% 177.62/27.90 | |
% 177.62/27.90 | | Case 1:
% 177.62/27.90 | | |
% 177.62/27.90 | | | (26) ~ (all_58_0 = e2)
% 177.62/27.90 | | |
% 177.62/27.90 | | | REDUCE: (5), (26) imply:
% 177.62/27.90 | | | (27) ~ (all_52_0 = e2)
% 177.62/27.90 | | |
% 177.62/27.90 | | | REF_CLOSE: (1), (3), (6), (8), (9), (10), (12), (16), (18), (23), (27) are
% 177.62/27.90 | | | inconsistent by sub-proof #305.
% 177.62/27.90 | | |
% 177.62/27.90 | | Case 2:
% 177.62/27.90 | | |
% 177.62/27.90 | | | (28) all_58_1 = e3
% 177.62/27.90 | | |
% 177.62/27.90 | | | REF_CLOSE: (19), (25), (28) are inconsistent by sub-proof #511.
% 177.62/27.90 | | |
% 177.62/27.90 | | End of split
% 177.62/27.90 | |
% 177.62/27.90 | Case 2:
% 177.62/27.90 | |
% 177.62/27.90 | | (29) all_58_0 = e2
% 177.62/27.90 | |
% 177.62/27.90 | | COMBINE_EQS: (5), (29) imply:
% 177.62/27.90 | | (30) all_52_0 = e2
% 177.62/27.90 | |
% 177.62/27.90 | | SIMP: (30) implies:
% 177.62/27.90 | | (31) all_52_0 = e2
% 177.62/27.90 | |
% 177.62/27.90 | | REDUCE: (3), (31) imply:
% 177.62/27.90 | | (32) op(e3, e2) = unit
% 177.62/27.90 | |
% 177.62/27.90 | | GROUND_INST: instantiating (6) with all_14_1, unit, e2, e3, simplifying with
% 177.62/27.90 | | (20), (32) gives:
% 177.62/27.90 | | (33) all_14_1 = unit
% 177.62/27.90 | |
% 177.62/27.90 | | COMBINE_EQS: (4), (33) imply:
% 177.62/27.90 | | (34) all_63_4 = unit
% 177.62/27.90 | |
% 177.62/27.90 | | REDUCE: (11), (33) imply:
% 177.62/27.90 | | (35) ~ (unit = e2)
% 177.62/27.90 | |
% 177.62/27.90 | | REDUCE: (7), (33) imply:
% 177.62/27.90 | | (36) ~ (unit = e1)
% 177.62/27.90 | |
% 177.62/27.90 | | REDUCE: (15), (33) imply:
% 177.62/27.90 | | (37) op(unit, e3) = e1
% 177.62/27.90 | |
% 177.62/27.90 | | BETA: splitting (13) gives:
% 177.62/27.90 | |
% 177.62/27.90 | | Case 1:
% 177.62/27.90 | | |
% 177.62/27.90 | | | (38) all_63_4 = e3
% 177.62/27.90 | | |
% 177.62/27.90 | | | COMBINE_EQS: (34), (38) imply:
% 177.62/27.90 | | | (39) unit = e3
% 177.62/27.90 | | |
% 177.62/27.90 | | | REDUCE: (21), (39) imply:
% 177.62/27.90 | | | (40) $false
% 177.62/27.90 | | |
% 177.62/27.90 | | | CLOSE: (40) is inconsistent.
% 177.62/27.90 | | |
% 177.62/27.90 | | Case 2:
% 177.62/27.90 | | |
% 177.62/27.90 | | | (41) all_63_4 = e2 | all_63_4 = e1 | all_63_4 = e0
% 177.62/27.90 | | |
% 177.62/27.90 | | | BETA: splitting (41) gives:
% 177.62/27.90 | | |
% 177.62/27.90 | | | Case 1:
% 177.62/27.90 | | | |
% 177.62/27.90 | | | | (42) all_63_4 = e2
% 177.62/27.90 | | | |
% 177.62/27.90 | | | | COMBINE_EQS: (34), (42) imply:
% 177.62/27.90 | | | | (43) unit = e2
% 177.62/27.90 | | | |
% 177.62/27.90 | | | | REDUCE: (35), (43) imply:
% 177.62/27.90 | | | | (44) $false
% 177.62/27.90 | | | |
% 177.62/27.90 | | | | CLOSE: (44) is inconsistent.
% 177.62/27.90 | | | |
% 177.62/27.90 | | | Case 2:
% 177.62/27.90 | | | |
% 177.62/27.90 | | | | (45) ~ (all_63_4 = e2)
% 177.62/27.90 | | | | (46) all_63_4 = e1 | all_63_4 = e0
% 177.62/27.90 | | | |
% 177.62/27.90 | | | | BETA: splitting (17) gives:
% 177.62/27.90 | | | |
% 177.62/27.90 | | | | Case 1:
% 177.62/27.90 | | | | |
% 177.62/27.90 | | | | | (47) unit = e2
% 177.62/27.90 | | | | |
% 177.62/27.90 | | | | | REDUCE: (35), (47) imply:
% 177.62/27.90 | | | | | (48) $false
% 177.62/27.90 | | | | |
% 177.62/27.90 | | | | | CLOSE: (48) is inconsistent.
% 177.62/27.90 | | | | |
% 177.62/27.90 | | | | Case 2:
% 177.62/27.90 | | | | |
% 177.62/27.90 | | | | | (49) unit = e1 | unit = e0
% 177.62/27.90 | | | | |
% 177.62/27.90 | | | | | BETA: splitting (49) gives:
% 177.62/27.90 | | | | |
% 177.62/27.90 | | | | | Case 1:
% 177.62/27.90 | | | | | |
% 177.62/27.90 | | | | | | (50) unit = e1
% 177.62/27.90 | | | | | |
% 177.62/27.90 | | | | | | REDUCE: (36), (50) imply:
% 177.62/27.90 | | | | | | (51) $false
% 177.62/27.90 | | | | | |
% 177.62/27.90 | | | | | | CLOSE: (51) is inconsistent.
% 177.62/27.90 | | | | | |
% 177.62/27.90 | | | | | Case 2:
% 177.62/27.90 | | | | | |
% 177.62/27.90 | | | | | | (52) unit = e0
% 177.62/27.90 | | | | | |
% 177.62/27.90 | | | | | | REDUCE: (37), (52) imply:
% 177.62/27.90 | | | | | | (53) op(e0, e3) = e1
% 177.62/27.90 | | | | | |
% 177.62/27.90 | | | | | | REF_CLOSE: (4), (6), (7), (22), (46), (53) are inconsistent by
% 177.62/27.90 | | | | | | sub-proof #303.
% 177.62/27.90 | | | | | |
% 177.62/27.90 | | | | | End of split
% 177.62/27.90 | | | | |
% 177.62/27.90 | | | | End of split
% 177.62/27.90 | | | |
% 177.62/27.90 | | | End of split
% 177.62/27.90 | | |
% 177.62/27.90 | | End of split
% 177.62/27.90 | |
% 177.62/27.90 | End of split
% 177.62/27.90 |
% 177.62/27.90 End of proof
% 177.62/27.90
% 177.62/27.90 Sub-proof #303 shows that the following formulas are inconsistent:
% 177.62/27.90 ----------------------------------------------------------------
% 177.62/27.90 (1) all_63_4 = all_14_1
% 177.62/27.90 (2) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 177.62/27.90 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 177.62/27.90 (3) ~ (all_14_1 = e1)
% 177.62/27.90 (4) op(e0, e3) = e1
% 177.62/27.90 (5) all_63_4 = e1 | all_63_4 = e0
% 177.62/27.90 (6) ~ (all_14_1 = e0) | ( ~ (all_14_0 = e1) & op(e0, e3) = all_14_0 &
% 177.62/27.90 $i(all_14_0))
% 177.62/27.90
% 177.62/27.90 Begin of proof
% 177.62/27.90 |
% 177.62/27.90 | BETA: splitting (6) gives:
% 177.62/27.90 |
% 177.62/27.90 | Case 1:
% 177.62/27.90 | |
% 177.62/27.90 | | (7) ~ (all_14_1 = e0)
% 177.62/27.90 | |
% 177.62/27.90 | | REF_CLOSE: (1), (3), (5), (7) are inconsistent by sub-proof #355.
% 177.62/27.90 | |
% 177.62/27.90 | Case 2:
% 177.62/27.90 | |
% 177.62/27.90 | | (8) ~ (all_14_0 = e1) & op(e0, e3) = all_14_0 & $i(all_14_0)
% 177.62/27.90 | |
% 177.62/27.90 | | ALPHA: (8) implies:
% 177.62/27.90 | | (9) ~ (all_14_0 = e1)
% 177.62/27.90 | | (10) op(e0, e3) = all_14_0
% 177.62/27.90 | |
% 177.62/27.90 | | REF_CLOSE: (2), (4), (9), (10) are inconsistent by sub-proof #304.
% 177.62/27.90 | |
% 177.62/27.90 | End of split
% 177.62/27.90 |
% 177.62/27.90 End of proof
% 177.62/27.90
% 177.62/27.90 Sub-proof #304 shows that the following formulas are inconsistent:
% 177.62/27.90 ----------------------------------------------------------------
% 177.62/27.90 (1) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 177.62/27.90 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 177.62/27.90 (2) op(e0, e3) = all_14_0
% 177.62/27.90 (3) op(e0, e3) = e1
% 177.62/27.90 (4) ~ (all_14_0 = e1)
% 177.62/27.90
% 177.62/27.90 Begin of proof
% 177.62/27.90 |
% 177.62/27.90 | GROUND_INST: instantiating (1) with e1, all_14_0, e3, e0, simplifying with
% 177.62/27.90 | (2), (3) gives:
% 177.62/27.90 | (5) all_14_0 = e1
% 177.62/27.90 |
% 177.62/27.90 | REDUCE: (4), (5) imply:
% 177.62/27.90 | (6) $false
% 177.62/27.90 |
% 177.62/27.90 | CLOSE: (6) is inconsistent.
% 177.62/27.90 |
% 177.62/27.90 End of proof
% 177.62/27.90
% 177.62/27.90 Sub-proof #305 shows that the following formulas are inconsistent:
% 177.62/27.90 ----------------------------------------------------------------
% 177.62/27.90 (1) all_56_0 = e3 | all_56_0 = e2 | all_56_0 = e1 | all_56_0 = e0
% 177.62/27.90 (2) op(e3, all_52_0) = unit
% 177.62/27.90 (3) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 177.62/27.90 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 177.62/27.90 (4) op(e2, unit) = e2
% 177.62/27.90 (5) op(e2, e2) = e1
% 177.62/27.90 (6) ~ (all_52_0 = e1)
% 177.62/27.90 (7) ~ (all_52_0 = e0)
% 177.62/27.90 (8) ~ (e2 = e1)
% 177.62/27.90 (9) ~ (all_52_0 = e2)
% 177.62/27.90 (10) op(e3, e3) = e2
% 177.62/27.90 (11) all_56_0 = all_52_0
% 177.62/27.90
% 177.62/27.90 Begin of proof
% 177.62/27.90 |
% 177.62/27.90 | BETA: splitting (1) gives:
% 177.62/27.90 |
% 177.62/27.90 | Case 1:
% 177.62/27.90 | |
% 177.62/27.90 | | (12) all_56_0 = e3
% 177.62/27.90 | |
% 177.62/27.90 | | COMBINE_EQS: (11), (12) imply:
% 177.62/27.90 | | (13) all_52_0 = e3
% 177.62/27.90 | |
% 177.62/27.90 | | SIMP: (13) implies:
% 177.62/27.90 | | (14) all_52_0 = e3
% 177.62/27.90 | |
% 177.62/27.90 | | REDUCE: (2), (14) imply:
% 177.62/27.90 | | (15) op(e3, e3) = unit
% 177.62/27.90 | |
% 177.62/27.90 | | GROUND_INST: instantiating (3) with e2, unit, e3, e3, simplifying with (10),
% 177.62/27.90 | | (15) gives:
% 177.62/27.90 | | (16) unit = e2
% 177.62/27.90 | |
% 177.62/27.90 | | REF_CLOSE: (3), (4), (5), (8), (16) are inconsistent by sub-proof #306.
% 177.62/27.90 | |
% 177.62/27.90 | Case 2:
% 177.62/27.90 | |
% 177.62/27.90 | | (17) all_56_0 = e2 | all_56_0 = e1 | all_56_0 = e0
% 177.62/27.90 | |
% 177.62/27.90 | | REF_CLOSE: (6), (7), (9), (11), (17) are inconsistent by sub-proof #512.
% 177.62/27.90 | |
% 177.62/27.90 | End of split
% 177.62/27.90 |
% 177.62/27.90 End of proof
% 177.62/27.90
% 177.62/27.90 Sub-proof #306 shows that the following formulas are inconsistent:
% 177.62/27.90 ----------------------------------------------------------------
% 177.62/27.90 (1) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 177.62/27.90 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 177.62/27.90 (2) op(e2, unit) = e2
% 177.62/27.90 (3) op(e2, e2) = e1
% 177.62/27.90 (4) ~ (e2 = e1)
% 177.62/27.90 (5) unit = e2
% 177.62/27.90
% 177.62/27.90 Begin of proof
% 177.62/27.90 |
% 177.62/27.90 | REDUCE: (2), (5) imply:
% 177.62/27.90 | (6) op(e2, e2) = e2
% 177.62/27.90 |
% 177.62/27.91 | GROUND_INST: instantiating (1) with e1, e2, e2, e2, simplifying with (3), (6)
% 177.62/27.91 | gives:
% 177.62/27.91 | (7) e2 = e1
% 177.62/27.91 |
% 177.62/27.91 | REDUCE: (4), (7) imply:
% 177.62/27.91 | (8) $false
% 177.62/27.91 |
% 177.62/27.91 | CLOSE: (8) is inconsistent.
% 177.62/27.91 |
% 177.62/27.91 End of proof
% 177.62/27.91
% 177.62/27.91 Sub-proof #307 shows that the following formulas are inconsistent:
% 177.62/27.91 ----------------------------------------------------------------
% 177.62/27.91 (1) ~ (all_52_0 = all_52_1)
% 177.62/27.91 (2) ~ (all_52_1 = all_52_3)
% 177.62/27.91 (3) ~ (all_52_0 = all_52_3)
% 177.62/27.91 (4) all_58_0 = all_52_0
% 177.62/27.91 (5) all_56_1 = e3 | all_56_1 = e2 | all_56_1 = e1 | all_56_1 = e0
% 177.62/27.91 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 177.62/27.91 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 177.62/27.91 (7) op(e2, e2) = e1
% 177.62/27.91 (8) ~ (all_52_1 = all_52_2)
% 177.62/27.91 (9) all_56_3 = e3 | all_56_3 = e2 | all_56_3 = e1 | all_56_3 = e0
% 177.62/27.91 (10) all_56_1 = all_52_1
% 177.62/27.91 (11) op(e2, all_52_1) = unit
% 177.62/27.91 (12) all_58_2 = all_52_2
% 177.62/27.91 (13) all_56_3 = all_52_3
% 177.62/27.91 (14) all_58_0 = e1
% 177.62/27.91 (15) op(e0, e0) = e2
% 177.62/27.91 (16) op(e0, all_52_3) = unit
% 177.62/27.91 (17) all_58_2 = e3
% 177.62/27.91 (18) ~ (all_52_2 = all_52_3)
% 177.62/27.91 (19) ~ (all_52_1 = e0)
% 177.62/27.91
% 177.62/27.91 Begin of proof
% 177.62/27.91 |
% 177.62/27.91 | COMBINE_EQS: (4), (14) imply:
% 177.62/27.91 | (20) all_52_0 = e1
% 177.62/27.91 |
% 177.62/27.91 | SIMP: (20) implies:
% 177.62/27.91 | (21) all_52_0 = e1
% 177.62/27.91 |
% 177.62/27.91 | COMBINE_EQS: (12), (17) imply:
% 177.62/27.91 | (22) all_52_2 = e3
% 177.62/27.91 |
% 177.62/27.91 | SIMP: (22) implies:
% 177.62/27.91 | (23) all_52_2 = e3
% 177.62/27.91 |
% 177.62/27.91 | REDUCE: (1), (21) imply:
% 177.62/27.91 | (24) ~ (all_52_1 = e1)
% 177.62/27.91 |
% 177.62/27.91 | SIMP: (24) implies:
% 177.62/27.91 | (25) ~ (all_52_1 = e1)
% 177.62/27.91 |
% 177.62/27.91 | REDUCE: (3), (21) imply:
% 177.62/27.91 | (26) ~ (all_52_3 = e1)
% 177.62/27.91 |
% 177.62/27.91 | SIMP: (26) implies:
% 177.62/27.91 | (27) ~ (all_52_3 = e1)
% 177.62/27.91 |
% 177.62/27.91 | REDUCE: (8), (23) imply:
% 177.62/27.91 | (28) ~ (all_52_1 = e3)
% 177.62/27.91 |
% 177.62/27.91 | REDUCE: (18), (23) imply:
% 177.62/27.91 | (29) ~ (all_52_3 = e3)
% 177.62/27.91 |
% 177.62/27.91 | SIMP: (29) implies:
% 177.62/27.91 | (30) ~ (all_52_3 = e3)
% 177.62/27.91 |
% 177.62/27.91 | REF_CLOSE: (2), (5), (6), (7), (9), (10), (11), (13), (15), (16), (19), (25),
% 177.62/27.91 | (27), (28), (30) are inconsistent by sub-proof #308.
% 177.62/27.91 |
% 177.62/27.91 End of proof
% 177.62/27.91
% 177.62/27.91 Sub-proof #308 shows that the following formulas are inconsistent:
% 177.62/27.91 ----------------------------------------------------------------
% 177.62/27.91 (1) ~ (all_52_3 = e3)
% 177.62/27.91 (2) ~ (all_52_1 = all_52_3)
% 177.62/27.91 (3) all_56_1 = e3 | all_56_1 = e2 | all_56_1 = e1 | all_56_1 = e0
% 177.62/27.91 (4) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 177.62/27.91 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 177.62/27.91 (5) ~ (all_52_1 = e3)
% 177.62/27.91 (6) op(e2, e2) = e1
% 177.62/27.91 (7) all_56_3 = e3 | all_56_3 = e2 | all_56_3 = e1 | all_56_3 = e0
% 177.62/27.91 (8) all_56_1 = all_52_1
% 177.62/27.91 (9) op(e2, all_52_1) = unit
% 177.62/27.91 (10) ~ (all_52_3 = e1)
% 177.62/27.91 (11) all_56_3 = all_52_3
% 177.62/27.91 (12) ~ (all_52_1 = e1)
% 177.62/27.91 (13) op(e0, e0) = e2
% 177.62/27.91 (14) op(e0, all_52_3) = unit
% 177.62/27.91 (15) ~ (all_52_1 = e0)
% 177.62/27.91
% 177.62/27.91 Begin of proof
% 177.62/27.91 |
% 177.62/27.91 | BETA: splitting (3) gives:
% 177.62/27.91 |
% 177.62/27.91 | Case 1:
% 177.62/27.91 | |
% 177.62/27.91 | | (16) all_56_1 = e3
% 177.62/27.91 | |
% 177.62/27.91 | | REF_CLOSE: (5), (8), (16) are inconsistent by sub-proof #455.
% 177.62/27.91 | |
% 177.62/27.91 | Case 2:
% 177.62/27.91 | |
% 177.62/27.91 | | (17) all_56_1 = e2 | all_56_1 = e1 | all_56_1 = e0
% 177.62/27.91 | |
% 177.62/27.91 | | BETA: splitting (7) gives:
% 177.62/27.91 | |
% 177.62/27.91 | | Case 1:
% 177.62/27.91 | | |
% 177.62/27.91 | | | (18) all_56_3 = e3
% 177.62/27.91 | | |
% 177.62/27.91 | | | REF_CLOSE: (1), (11), (18) are inconsistent by sub-proof #442.
% 177.62/27.91 | | |
% 177.62/27.91 | | Case 2:
% 177.62/27.91 | | |
% 177.62/27.91 | | | (19) all_56_3 = e2 | all_56_3 = e1 | all_56_3 = e0
% 177.62/27.91 | | |
% 177.62/27.91 | | | BETA: splitting (17) gives:
% 177.62/27.91 | | |
% 177.62/27.91 | | | Case 1:
% 177.62/27.91 | | | |
% 177.62/27.91 | | | | (20) all_56_1 = e2
% 177.62/27.91 | | | |
% 177.62/27.91 | | | | COMBINE_EQS: (8), (20) imply:
% 177.62/27.91 | | | | (21) all_52_1 = e2
% 177.62/27.91 | | | |
% 177.62/27.91 | | | | SIMP: (21) implies:
% 177.62/27.91 | | | | (22) all_52_1 = e2
% 177.62/27.91 | | | |
% 177.62/27.91 | | | | REDUCE: (2), (22) imply:
% 177.62/27.91 | | | | (23) ~ (all_52_3 = e2)
% 177.62/27.91 | | | |
% 177.62/27.91 | | | | SIMP: (23) implies:
% 177.62/27.91 | | | | (24) ~ (all_52_3 = e2)
% 177.62/27.91 | | | |
% 177.62/27.91 | | | | REDUCE: (12), (22) imply:
% 177.62/27.91 | | | | (25) ~ (e2 = e1)
% 177.62/27.91 | | | |
% 177.62/27.91 | | | | REDUCE: (9), (22) imply:
% 177.62/27.91 | | | | (26) op(e2, e2) = unit
% 177.62/27.91 | | | |
% 177.62/27.91 | | | | BETA: splitting (19) gives:
% 177.62/27.91 | | | |
% 177.62/27.91 | | | | Case 1:
% 177.62/27.91 | | | | |
% 177.62/27.91 | | | | | (27) all_56_3 = e2
% 177.62/27.91 | | | | |
% 177.62/27.91 | | | | | REF_CLOSE: (11), (24), (27) are inconsistent by sub-proof #441.
% 177.62/27.91 | | | | |
% 177.62/27.91 | | | | Case 2:
% 177.62/27.91 | | | | |
% 177.62/27.91 | | | | | (28) all_56_3 = e1 | all_56_3 = e0
% 177.62/27.91 | | | | |
% 177.62/27.91 | | | | | BETA: splitting (28) gives:
% 177.62/27.91 | | | | |
% 177.62/27.91 | | | | | Case 1:
% 177.62/27.91 | | | | | |
% 177.62/27.91 | | | | | | (29) all_56_3 = e1
% 177.62/27.91 | | | | | |
% 177.62/27.91 | | | | | | REF_CLOSE: (10), (11), (29) are inconsistent by sub-proof #440.
% 177.62/27.91 | | | | | |
% 177.62/27.91 | | | | | Case 2:
% 177.62/27.91 | | | | | |
% 177.62/27.91 | | | | | | (30) all_56_3 = e0
% 177.62/27.91 | | | | | |
% 177.62/27.91 | | | | | | COMBINE_EQS: (11), (30) imply:
% 177.62/27.91 | | | | | | (31) all_52_3 = e0
% 177.62/27.91 | | | | | |
% 177.62/27.91 | | | | | | SIMP: (31) implies:
% 177.62/27.91 | | | | | | (32) all_52_3 = e0
% 177.62/27.91 | | | | | |
% 177.62/27.91 | | | | | | REDUCE: (14), (32) imply:
% 177.62/27.91 | | | | | | (33) op(e0, e0) = unit
% 177.62/27.91 | | | | | |
% 177.62/27.91 | | | | | | GROUND_INST: instantiating (4) with e2, unit, e0, e0, simplifying
% 177.62/27.91 | | | | | | with (13), (33) gives:
% 177.62/27.91 | | | | | | (34) unit = e2
% 177.62/27.91 | | | | | |
% 177.62/27.91 | | | | | | GROUND_INST: instantiating (4) with e1, unit, e2, e2, simplifying
% 177.62/27.91 | | | | | | with (6), (26) gives:
% 177.62/27.91 | | | | | | (35) unit = e1
% 177.62/27.91 | | | | | |
% 177.62/27.91 | | | | | | REF_CLOSE: (25), (34), (35) are inconsistent by sub-proof #384.
% 177.62/27.91 | | | | | |
% 177.62/27.91 | | | | | End of split
% 177.62/27.91 | | | | |
% 177.62/27.91 | | | | End of split
% 177.62/27.91 | | | |
% 177.62/27.91 | | | Case 2:
% 177.62/27.91 | | | |
% 177.62/27.91 | | | | (36) all_56_1 = e1 | all_56_1 = e0
% 177.62/27.91 | | | |
% 177.62/27.91 | | | | REF_CLOSE: (8), (12), (15), (36) are inconsistent by sub-proof #454.
% 177.62/27.91 | | | |
% 177.62/27.91 | | | End of split
% 177.62/27.91 | | |
% 177.62/27.91 | | End of split
% 177.62/27.91 | |
% 177.62/27.91 | End of split
% 177.62/27.91 |
% 177.62/27.91 End of proof
% 177.62/27.91
% 177.62/27.91 Sub-proof #309 shows that the following formulas are inconsistent:
% 177.62/27.91 ----------------------------------------------------------------
% 177.62/27.91 (1) ~ (all_61_3 = e1)
% 177.62/27.91 (2) all_63_12 = e3 | all_63_12 = e2 | all_63_12 = e1 | all_63_12 = e0
% 177.62/27.91 (3) ~ (all_61_3 = e3)
% 177.62/27.91 (4) ~ (all_61_3 = e2)
% 177.62/27.91 (5) all_63_12 = all_61_3
% 177.62/27.91 (6) ~ (all_61_3 = e0)
% 177.62/27.91
% 177.62/27.91 Begin of proof
% 177.62/27.91 |
% 177.62/27.91 | BETA: splitting (2) gives:
% 177.62/27.91 |
% 177.62/27.91 | Case 1:
% 177.62/27.91 | |
% 177.62/27.91 | | (7) all_63_12 = e3
% 177.62/27.91 | |
% 177.62/27.91 | | COMBINE_EQS: (5), (7) imply:
% 177.62/27.91 | | (8) all_61_3 = e3
% 177.62/27.91 | |
% 177.62/27.91 | | REDUCE: (3), (8) imply:
% 177.62/27.91 | | (9) $false
% 177.62/27.91 | |
% 177.62/27.91 | | CLOSE: (9) is inconsistent.
% 177.62/27.91 | |
% 177.62/27.91 | Case 2:
% 177.62/27.91 | |
% 177.62/27.91 | | (10) all_63_12 = e2 | all_63_12 = e1 | all_63_12 = e0
% 177.62/27.91 | |
% 177.62/27.91 | | REF_CLOSE: (1), (4), (5), (6), (10) are inconsistent by sub-proof #330.
% 177.62/27.91 | |
% 177.62/27.91 | End of split
% 177.62/27.91 |
% 177.62/27.91 End of proof
% 177.62/27.91
% 177.62/27.91 Sub-proof #310 shows that the following formulas are inconsistent:
% 177.62/27.91 ----------------------------------------------------------------
% 177.62/27.91 (1) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 177.62/27.91 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 177.62/27.91 (2) ~ (all_52_1 = all_52_2)
% 177.62/27.91 (3) op(e2, all_52_1) = unit
% 177.62/27.91 (4) all_58_2 = all_52_2
% 177.62/27.91 (5) op(e2, e1) = all_12_1
% 177.62/27.91 (6) all_58_1 = all_52_1
% 177.62/27.91 (7) all_58_1 = e1
% 177.62/27.91 (8) op(all_12_1, e2) = e1
% 177.62/27.91 (9) all_58_2 = e2
% 177.62/27.91 (10) op(unit, e2) = e2
% 177.62/27.91
% 177.62/27.91 Begin of proof
% 177.62/27.91 |
% 177.62/27.91 | COMBINE_EQS: (6), (7) imply:
% 177.62/27.91 | (11) all_52_1 = e1
% 177.62/27.91 |
% 177.62/27.91 | SIMP: (11) implies:
% 177.62/27.91 | (12) all_52_1 = e1
% 177.62/27.91 |
% 177.62/27.91 | COMBINE_EQS: (4), (9) imply:
% 177.62/27.91 | (13) all_52_2 = e2
% 177.62/27.91 |
% 177.62/27.91 | SIMP: (13) implies:
% 177.62/27.91 | (14) all_52_2 = e2
% 177.62/27.91 |
% 177.62/27.91 | REF_CLOSE: (1), (2), (3), (5), (8), (10), (12), (14) are inconsistent by
% 177.62/27.91 | sub-proof #322.
% 177.62/27.91 |
% 177.62/27.91 End of proof
% 177.62/27.91
% 177.62/27.91 Sub-proof #311 shows that the following formulas are inconsistent:
% 177.62/27.91 ----------------------------------------------------------------
% 177.62/27.91 (1) ~ (all_61_14 = all_12_1)
% 177.62/27.91 (2) ~ (all_12_1 = e1)
% 177.62/27.91 (3) ~ (all_61_14 = e1)
% 177.62/27.91 (4) all_63_9 = all_12_1
% 177.62/27.91 (5) all_63_11 = all_61_14
% 177.62/27.91 (6) all_63_11 = e2 | all_63_11 = e1 | all_63_11 = e0
% 177.62/27.91 (7) ~ (all_12_1 = e2)
% 177.62/27.91 (8) ~ (all_61_14 = e2)
% 177.62/27.91 (9) all_63_9 = e2 | all_63_9 = e1 | all_63_9 = e0
% 177.62/27.91
% 177.62/27.91 Begin of proof
% 177.62/27.91 |
% 177.62/27.91 | BETA: splitting (9) gives:
% 177.62/27.91 |
% 177.62/27.91 | Case 1:
% 177.62/27.91 | |
% 177.62/27.91 | | (10) all_63_9 = e2
% 177.62/27.91 | |
% 177.62/27.91 | | COMBINE_EQS: (4), (10) imply:
% 177.62/27.91 | | (11) all_12_1 = e2
% 177.62/27.91 | |
% 177.62/27.91 | | REDUCE: (7), (11) imply:
% 177.62/27.91 | | (12) $false
% 177.62/27.91 | |
% 177.62/27.91 | | CLOSE: (12) is inconsistent.
% 177.62/27.91 | |
% 177.62/27.91 | Case 2:
% 177.62/27.91 | |
% 177.62/27.91 | | (13) all_63_9 = e1 | all_63_9 = e0
% 177.62/27.91 | |
% 177.62/27.91 | | BETA: splitting (6) gives:
% 177.62/27.91 | |
% 177.62/27.91 | | Case 1:
% 177.62/27.91 | | |
% 177.62/27.91 | | | (14) all_63_11 = e2
% 177.62/27.91 | | |
% 177.62/27.91 | | | COMBINE_EQS: (5), (14) imply:
% 177.62/27.91 | | | (15) all_61_14 = e2
% 177.62/27.91 | | |
% 177.62/27.91 | | | SIMP: (15) implies:
% 177.62/27.91 | | | (16) all_61_14 = e2
% 177.62/27.91 | | |
% 177.62/27.91 | | | REDUCE: (8), (16) imply:
% 177.62/27.91 | | | (17) $false
% 177.62/27.91 | | |
% 177.62/27.91 | | | CLOSE: (17) is inconsistent.
% 177.62/27.91 | | |
% 177.62/27.91 | | Case 2:
% 177.62/27.91 | | |
% 177.62/27.91 | | | (18) all_63_11 = e1 | all_63_11 = e0
% 177.62/27.91 | | |
% 177.62/27.91 | | | BETA: splitting (13) gives:
% 177.62/27.91 | | |
% 177.62/27.91 | | | Case 1:
% 177.62/27.91 | | | |
% 177.62/27.91 | | | | (19) all_63_9 = e1
% 177.62/27.91 | | | |
% 177.62/27.91 | | | | COMBINE_EQS: (4), (19) imply:
% 177.62/27.91 | | | | (20) all_12_1 = e1
% 177.62/27.91 | | | |
% 177.62/27.91 | | | | REDUCE: (2), (20) imply:
% 177.62/27.91 | | | | (21) $false
% 177.62/27.91 | | | |
% 177.62/27.91 | | | | CLOSE: (21) is inconsistent.
% 177.62/27.91 | | | |
% 177.62/27.91 | | | Case 2:
% 177.62/27.91 | | | |
% 177.62/27.91 | | | | (22) all_63_9 = e0
% 177.62/27.91 | | | |
% 177.62/27.91 | | | | COMBINE_EQS: (4), (22) imply:
% 177.62/27.91 | | | | (23) all_12_1 = e0
% 177.62/27.91 | | | |
% 177.62/27.91 | | | | REDUCE: (1), (23) imply:
% 177.62/27.91 | | | | (24) ~ (all_61_14 = e0)
% 177.62/27.91 | | | |
% 177.62/27.91 | | | | REF_CLOSE: (3), (5), (18), (24) are inconsistent by sub-proof #522.
% 177.62/27.91 | | | |
% 177.62/27.91 | | | End of split
% 177.62/27.91 | | |
% 177.62/27.91 | | End of split
% 177.62/27.91 | |
% 177.62/27.91 | End of split
% 177.62/27.91 |
% 177.62/27.91 End of proof
% 177.62/27.91
% 177.62/27.91 Sub-proof #312 shows that the following formulas are inconsistent:
% 177.62/27.91 ----------------------------------------------------------------
% 177.62/27.91 (1) all_56_2 = e3 | all_56_2 = e2 | all_56_2 = e1 | all_56_2 = e0
% 177.62/27.91 (2) all_56_2 = all_52_2
% 177.62/27.91 (3) all_63_7 = all_61_13
% 177.62/27.91 (4) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 177.62/27.91 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 177.62/27.91 (5) all_63_7 = e3 | all_63_7 = e2 | all_63_7 = e1 | all_63_7 = e0
% 177.62/27.91 (6) ~ (all_52_2 = e0)
% 177.62/27.91 (7) op(e2, unit) = e2
% 177.62/27.91 (8) ~ (all_61_13 = all_61_14)
% 177.62/27.91 (9) ~ (all_52_2 = e3)
% 177.62/27.91 (10) op(e1, e1) = e1
% 177.62/27.91 (11) ~ (all_52_2 = e2)
% 177.62/27.91 (12) op(e2, e1) = all_12_1
% 177.62/27.91 (13) op(e1, e0) = all_61_14
% 177.62/27.91 (14) ~ (all_61_13 = all_12_1)
% 177.62/27.91 (15) ~ (all_61_13 = e1)
% 177.62/27.91 (16) ~ (all_61_13 = e3)
% 177.62/27.91 (17) op(unit, e0) = e0
% 177.62/27.91 (18) op(e1, all_52_2) = unit
% 177.62/27.91
% 177.62/27.91 Begin of proof
% 177.62/27.91 |
% 177.62/27.91 | BETA: splitting (1) gives:
% 177.62/27.91 |
% 177.62/27.91 | Case 1:
% 177.62/27.91 | |
% 177.62/27.91 | | (19) all_56_2 = e3
% 177.62/27.91 | |
% 177.62/27.91 | | REF_CLOSE: (2), (9), (19) are inconsistent by sub-proof #482.
% 177.62/27.91 | |
% 177.62/27.91 | Case 2:
% 177.62/27.91 | |
% 177.62/27.91 | | (20) all_56_2 = e2 | all_56_2 = e1 | all_56_2 = e0
% 177.62/27.91 | |
% 177.62/27.91 | | BETA: splitting (20) gives:
% 177.62/27.91 | |
% 177.62/27.91 | | Case 1:
% 177.62/27.91 | | |
% 177.62/27.91 | | | (21) all_56_2 = e2
% 177.62/27.91 | | |
% 177.62/27.91 | | | REF_CLOSE: (2), (11), (21) are inconsistent by sub-proof #481.
% 177.62/27.91 | | |
% 177.62/27.91 | | Case 2:
% 177.62/27.91 | | |
% 177.62/27.91 | | | (22) all_56_2 = e1 | all_56_2 = e0
% 177.62/27.91 | | |
% 177.62/27.91 | | | BETA: splitting (22) gives:
% 177.62/27.91 | | |
% 177.62/27.91 | | | Case 1:
% 177.62/27.91 | | | |
% 177.62/27.91 | | | | (23) all_56_2 = e1
% 177.62/27.91 | | | |
% 177.62/27.91 | | | | COMBINE_EQS: (2), (23) imply:
% 177.62/27.91 | | | | (24) all_52_2 = e1
% 177.62/27.91 | | | |
% 177.62/27.91 | | | | SIMP: (24) implies:
% 177.62/27.91 | | | | (25) all_52_2 = e1
% 177.62/27.91 | | | |
% 177.62/27.91 | | | | REDUCE: (18), (25) imply:
% 177.62/27.91 | | | | (26) op(e1, e1) = unit
% 177.62/27.91 | | | |
% 177.62/27.91 | | | | GROUND_INST: instantiating (4) with e1, unit, e1, e1, simplifying with
% 177.62/27.91 | | | | (10), (26) gives:
% 177.62/27.91 | | | | (27) unit = e1
% 177.62/27.91 | | | |
% 177.62/27.91 | | | | REF_CLOSE: (3), (4), (5), (7), (8), (12), (13), (14), (15), (16), (17),
% 177.62/27.91 | | | | (27) are inconsistent by sub-proof #316.
% 177.62/27.91 | | | |
% 177.62/27.91 | | | Case 2:
% 177.62/27.91 | | | |
% 177.62/27.91 | | | | (28) all_56_2 = e0
% 177.62/27.91 | | | |
% 177.62/27.91 | | | | REF_CLOSE: (2), (6), (28) are inconsistent by sub-proof #480.
% 177.62/27.91 | | | |
% 177.62/27.91 | | | End of split
% 177.62/27.91 | | |
% 177.62/27.91 | | End of split
% 177.62/27.91 | |
% 177.62/27.91 | End of split
% 177.62/27.91 |
% 177.62/27.91 End of proof
% 177.62/27.91
% 177.62/27.91 Sub-proof #313 shows that the following formulas are inconsistent:
% 177.62/27.91 ----------------------------------------------------------------
% 177.62/27.91 (1) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 177.62/27.91 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 177.62/27.91 (2) op(all_61_7, e2) = all_61_14
% 177.62/27.91 (3) all_58_1 = e0
% 177.62/27.91 (4) ~ (all_61_14 = all_28_1)
% 177.62/27.91 (5) ~ (all_61_13 = all_61_14)
% 177.62/27.91 (6) op(e0, e2) = all_61_7
% 177.62/27.91 (7) all_58_3 = all_52_3
% 177.62/27.91 (8) op(e2, all_52_1) = unit
% 177.62/27.91 (9) all_63_3 = e3 | all_63_3 = e2 | all_63_3 = e1 | all_63_3 = e0
% 177.62/27.91 (10) op(e2, e0) = all_61_13
% 177.62/27.91 (11) unit = e2 | unit = e1 | unit = e0
% 177.62/27.91 (12) all_58_1 = all_52_1
% 177.62/27.91 (13) ~ (all_61_13 = e1)
% 177.62/27.91 (14) all_63_3 = all_28_1
% 177.62/27.91 (15) ~ (all_28_1 = e1)
% 177.62/27.91 (16) all_58_3 = e2
% 177.62/27.91 (17) ~ (all_28_1 = e3)
% 177.62/27.91 (18) op(all_61_13, e2) = all_65_29
% 177.62/27.91 (19) ~ (all_61_13 = all_28_1)
% 177.62/27.91 (20) op(e0, all_52_3) = unit
% 177.62/27.91 (21) op(unit, e2) = e2
% 177.62/27.91
% 177.62/27.91 Begin of proof
% 177.62/27.91 |
% 177.62/27.91 | COMBINE_EQS: (3), (12) imply:
% 177.62/27.91 | (22) all_52_1 = e0
% 177.62/27.91 |
% 177.62/27.91 | SIMP: (22) implies:
% 177.62/27.91 | (23) all_52_1 = e0
% 177.62/27.91 |
% 177.62/27.91 | COMBINE_EQS: (7), (16) imply:
% 177.62/27.91 | (24) all_52_3 = e2
% 177.62/27.91 |
% 177.62/27.91 | REDUCE: (8), (23) imply:
% 177.62/27.91 | (25) op(e2, e0) = unit
% 177.62/27.91 |
% 177.62/27.91 | REDUCE: (20), (24) imply:
% 177.62/27.91 | (26) op(e0, e2) = unit
% 177.62/27.91 |
% 177.62/27.91 | GROUND_INST: instantiating (1) with all_61_7, unit, e2, e0, simplifying with
% 177.62/27.91 | (6), (26) gives:
% 177.62/27.91 | (27) all_61_7 = unit
% 177.62/27.91 |
% 177.62/27.91 | GROUND_INST: instantiating (1) with all_61_13, unit, e0, e2, simplifying with
% 177.62/27.91 | (10), (25) gives:
% 177.62/27.91 | (28) all_61_13 = unit
% 177.62/27.91 |
% 177.62/27.91 | REDUCE: (5), (28) imply:
% 177.62/27.91 | (29) ~ (all_61_14 = unit)
% 177.62/27.91 |
% 177.62/27.91 | SIMP: (29) implies:
% 177.62/27.91 | (30) ~ (all_61_14 = unit)
% 177.62/27.91 |
% 177.62/27.91 | REDUCE: (19), (28) imply:
% 177.62/27.91 | (31) ~ (all_28_1 = unit)
% 177.62/27.91 |
% 177.62/27.91 | SIMP: (31) implies:
% 177.62/27.91 | (32) ~ (all_28_1 = unit)
% 177.62/27.91 |
% 177.62/27.91 | REDUCE: (13), (28) imply:
% 177.62/27.91 | (33) ~ (unit = e1)
% 177.62/27.91 |
% 177.62/27.91 | REDUCE: (2), (27) imply:
% 177.62/27.91 | (34) op(unit, e2) = all_61_14
% 177.62/27.91 |
% 177.62/27.91 | REDUCE: (18), (28) imply:
% 177.62/27.91 | (35) op(unit, e2) = all_65_29
% 177.62/27.91 |
% 177.62/27.91 | GROUND_INST: instantiating (1) with e2, all_65_29, e2, unit, simplifying with
% 177.62/27.91 | (21), (35) gives:
% 177.62/27.91 | (36) all_65_29 = e2
% 177.62/27.91 |
% 177.62/27.91 | GROUND_INST: instantiating (1) with all_61_14, all_65_29, e2, unit,
% 177.62/27.91 | simplifying with (34), (35) gives:
% 177.62/27.91 | (37) all_65_29 = all_61_14
% 177.62/27.91 |
% 177.62/27.91 | COMBINE_EQS: (36), (37) imply:
% 177.62/27.91 | (38) all_61_14 = e2
% 177.62/27.91 |
% 177.62/27.91 | SIMP: (38) implies:
% 177.62/27.91 | (39) all_61_14 = e2
% 177.62/27.91 |
% 177.62/27.91 | REDUCE: (4), (39) imply:
% 177.62/27.91 | (40) ~ (all_28_1 = e2)
% 177.62/27.91 |
% 177.62/27.91 | SIMP: (40) implies:
% 177.62/27.91 | (41) ~ (all_28_1 = e2)
% 177.62/27.91 |
% 177.62/27.91 | REDUCE: (30), (39) imply:
% 177.62/27.91 | (42) ~ (unit = e2)
% 177.62/27.91 |
% 177.62/27.91 | SIMP: (42) implies:
% 177.62/27.91 | (43) ~ (unit = e2)
% 177.62/27.91 |
% 177.62/27.91 | REF_CLOSE: (9), (11), (14), (15), (17), (32), (33), (41), (43) are
% 177.62/27.91 | inconsistent by sub-proof #315.
% 177.62/27.91 |
% 177.62/27.91 End of proof
% 177.62/27.91
% 177.62/27.91 Sub-proof #314 shows that the following formulas are inconsistent:
% 177.62/27.91 ----------------------------------------------------------------
% 177.62/27.91 (1) ~ (all_28_1 = unit)
% 177.62/27.91 (2) ~ (all_40_1 = unit)
% 177.62/27.91 (3) ~ (unit = e1)
% 177.62/27.91 (4) ~ (all_40_1 = all_28_1)
% 177.62/27.91 (5) all_63_3 = e3 | all_63_3 = e2 | all_63_3 = e1 | all_63_3 = e0
% 177.62/27.91 (6) unit = e2 | unit = e1 | unit = e0
% 177.62/27.91 (7) all_63_3 = all_28_1
% 177.62/27.91 (8) ~ (all_28_1 = e1)
% 177.62/27.91 (9) all_40_1 = e2
% 177.62/27.91 (10) ~ (all_28_1 = e3)
% 177.62/27.91
% 177.62/27.91 Begin of proof
% 177.62/27.91 |
% 177.62/27.91 | REDUCE: (4), (9) imply:
% 177.62/27.91 | (11) ~ (all_28_1 = e2)
% 177.62/27.91 |
% 177.62/27.91 | SIMP: (11) implies:
% 177.62/27.91 | (12) ~ (all_28_1 = e2)
% 177.62/27.91 |
% 177.62/27.91 | REDUCE: (2), (9) imply:
% 177.62/27.91 | (13) ~ (unit = e2)
% 177.62/27.91 |
% 177.62/27.91 | SIMP: (13) implies:
% 177.62/27.91 | (14) ~ (unit = e2)
% 177.62/27.91 |
% 177.62/27.91 | REF_CLOSE: (1), (3), (5), (6), (7), (8), (10), (12), (14) are inconsistent by
% 177.62/27.91 | sub-proof #315.
% 177.62/27.91 |
% 177.62/27.91 End of proof
% 177.62/27.91
% 177.62/27.91 Sub-proof #315 shows that the following formulas are inconsistent:
% 177.62/27.91 ----------------------------------------------------------------
% 177.62/27.91 (1) ~ (all_28_1 = unit)
% 177.62/27.91 (2) ~ (all_28_1 = e2)
% 177.62/27.91 (3) ~ (unit = e1)
% 177.62/27.91 (4) all_63_3 = e3 | all_63_3 = e2 | all_63_3 = e1 | all_63_3 = e0
% 177.62/27.91 (5) ~ (unit = e2)
% 177.62/27.91 (6) unit = e2 | unit = e1 | unit = e0
% 177.62/27.91 (7) all_63_3 = all_28_1
% 177.62/27.91 (8) ~ (all_28_1 = e1)
% 177.62/27.91 (9) ~ (all_28_1 = e3)
% 177.62/27.91
% 177.62/27.91 Begin of proof
% 177.62/27.91 |
% 177.62/27.91 | BETA: splitting (6) gives:
% 177.62/27.91 |
% 177.62/27.91 | Case 1:
% 177.62/27.91 | |
% 177.62/27.91 | | (10) unit = e2
% 177.62/27.91 | |
% 177.62/27.91 | | REDUCE: (5), (10) imply:
% 177.62/27.91 | | (11) $false
% 177.62/27.91 | |
% 177.62/27.91 | | CLOSE: (11) is inconsistent.
% 177.62/27.91 | |
% 177.62/27.91 | Case 2:
% 177.62/27.91 | |
% 177.62/27.91 | | (12) unit = e1 | unit = e0
% 177.62/27.91 | |
% 177.62/27.91 | | BETA: splitting (12) gives:
% 177.62/27.91 | |
% 177.62/27.91 | | Case 1:
% 177.62/27.91 | | |
% 177.62/27.91 | | | (13) unit = e1
% 177.62/27.91 | | |
% 177.62/27.91 | | | REDUCE: (3), (13) imply:
% 177.62/27.91 | | | (14) $false
% 177.62/27.91 | | |
% 177.62/27.91 | | | CLOSE: (14) is inconsistent.
% 177.62/27.91 | | |
% 177.62/27.91 | | Case 2:
% 177.62/27.91 | | |
% 177.62/27.91 | | | (15) unit = e0
% 177.62/27.91 | | |
% 177.62/27.91 | | | REDUCE: (1), (15) imply:
% 177.62/27.91 | | | (16) ~ (all_28_1 = e0)
% 177.62/27.91 | | |
% 177.62/27.91 | | | REF_CLOSE: (2), (4), (7), (8), (9), (16) are inconsistent by sub-proof
% 177.62/27.91 | | | #430.
% 177.62/27.91 | | |
% 177.62/27.91 | | End of split
% 177.62/27.91 | |
% 177.62/27.91 | End of split
% 177.62/27.91 |
% 177.62/27.91 End of proof
% 177.62/27.91
% 177.62/27.91 Sub-proof #316 shows that the following formulas are inconsistent:
% 177.62/27.91 ----------------------------------------------------------------
% 177.62/27.91 (1) all_63_7 = all_61_13
% 177.62/27.91 (2) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 177.62/27.91 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 177.62/27.91 (3) all_63_7 = e3 | all_63_7 = e2 | all_63_7 = e1 | all_63_7 = e0
% 177.62/27.91 (4) op(e2, unit) = e2
% 177.62/27.91 (5) ~ (all_61_13 = all_61_14)
% 177.62/27.91 (6) unit = e1
% 177.62/27.91 (7) op(e2, e1) = all_12_1
% 177.62/27.91 (8) op(e1, e0) = all_61_14
% 177.62/27.91 (9) ~ (all_61_13 = all_12_1)
% 177.62/27.91 (10) ~ (all_61_13 = e1)
% 177.62/27.91 (11) ~ (all_61_13 = e3)
% 177.62/27.91 (12) op(unit, e0) = e0
% 177.62/27.91
% 177.62/27.91 Begin of proof
% 177.62/27.91 |
% 177.62/27.91 | REDUCE: (6), (12) imply:
% 177.62/27.91 | (13) op(e1, e0) = e0
% 177.62/27.91 |
% 177.62/27.91 | REDUCE: (4), (6) imply:
% 177.62/27.91 | (14) op(e2, e1) = e2
% 177.62/27.91 |
% 177.62/27.91 | GROUND_INST: instantiating (2) with all_61_14, e0, e0, e1, simplifying with
% 177.62/27.91 | (8), (13) gives:
% 177.62/27.91 | (15) all_61_14 = e0
% 177.62/27.91 |
% 177.62/27.91 | GROUND_INST: instantiating (2) with all_12_1, e2, e1, e2, simplifying with
% 177.62/27.91 | (7), (14) gives:
% 177.62/27.91 | (16) all_12_1 = e2
% 177.62/27.91 |
% 177.62/27.91 | REDUCE: (5), (15) imply:
% 177.62/27.91 | (17) ~ (all_61_13 = e0)
% 177.62/27.91 |
% 177.62/27.91 | REDUCE: (9), (16) imply:
% 177.62/27.91 | (18) ~ (all_61_13 = e2)
% 177.62/27.91 |
% 177.62/27.91 | REF_CLOSE: (1), (3), (10), (11), (17), (18) are inconsistent by sub-proof
% 177.62/27.91 | #473.
% 177.62/27.91 |
% 177.62/27.91 End of proof
% 177.62/27.91
% 177.62/27.91 Sub-proof #317 shows that the following formulas are inconsistent:
% 177.62/27.91 ----------------------------------------------------------------
% 177.62/27.91 (1) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 177.62/27.91 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 177.62/27.91 (2) ~ (all_61_13 = all_42_1)
% 177.62/27.91 (3) op(e0, e2) = all_61_7
% 177.62/27.91 (4) all_58_3 = all_52_3
% 177.62/27.91 (5) op(all_61_13, e0) = all_12_1
% 177.62/27.91 (6) op(e2, all_52_1) = unit
% 177.62/27.91 (7) op(e2, e0) = all_61_13
% 177.62/27.91 (8) unit = e2 | unit = e1 | unit = e0
% 177.62/27.91 (9) ~ (all_61_13 = all_12_1)
% 177.62/27.91 (10) ~ (all_61_13 = e1)
% 177.62/27.91 (11) op(unit, e0) = e0
% 177.62/27.91 (12) all_58_3 = e2
% 177.62/27.91 (13) op(all_61_7, e0) = all_65_63
% 177.62/27.91 (14) op(all_61_7, e2) = all_42_1
% 177.62/27.91 (15) op(all_61_13, e2) = all_65_29
% 177.62/27.91 (16) op(e0, all_52_3) = unit
% 177.62/27.91 (17) all_52_1 = e0
% 177.62/27.91 (18) op(unit, e2) = e2
% 177.62/27.91
% 177.62/27.91 Begin of proof
% 177.62/27.91 |
% 177.62/27.91 | COMBINE_EQS: (4), (12) imply:
% 177.62/27.91 | (19) all_52_3 = e2
% 177.62/27.91 |
% 177.62/27.91 | SIMP: (19) implies:
% 177.62/27.91 | (20) all_52_3 = e2
% 177.62/27.91 |
% 177.62/27.91 | REDUCE: (6), (17) imply:
% 177.62/27.91 | (21) op(e2, e0) = unit
% 177.62/27.91 |
% 177.62/27.91 | REDUCE: (16), (20) imply:
% 177.62/27.91 | (22) op(e0, e2) = unit
% 177.62/27.91 |
% 177.62/27.91 | GROUND_INST: instantiating (1) with all_61_7, unit, e2, e0, simplifying with
% 177.62/27.91 | (3), (22) gives:
% 177.62/27.91 | (23) all_61_7 = unit
% 177.62/27.91 |
% 177.62/27.91 | GROUND_INST: instantiating (1) with all_61_13, unit, e0, e2, simplifying with
% 177.62/27.91 | (7), (21) gives:
% 177.62/27.91 | (24) all_61_13 = unit
% 177.62/27.91 |
% 177.62/27.91 | REDUCE: (2), (24) imply:
% 177.62/27.91 | (25) ~ (all_42_1 = unit)
% 177.62/27.91 |
% 177.62/27.91 | SIMP: (25) implies:
% 177.62/27.91 | (26) ~ (all_42_1 = unit)
% 177.62/27.91 |
% 177.62/27.91 | REDUCE: (9), (24) imply:
% 177.62/27.91 | (27) ~ (all_12_1 = unit)
% 177.62/27.91 |
% 177.62/27.91 | SIMP: (27) implies:
% 177.62/27.91 | (28) ~ (all_12_1 = unit)
% 177.62/27.91 |
% 177.62/27.91 | REDUCE: (10), (24) imply:
% 177.62/27.91 | (29) ~ (unit = e1)
% 177.62/27.91 |
% 177.62/27.91 | REDUCE: (14), (23) imply:
% 177.62/27.91 | (30) op(unit, e2) = all_42_1
% 177.62/27.91 |
% 177.62/27.91 | REDUCE: (13), (23) imply:
% 177.62/27.91 | (31) op(unit, e0) = all_65_63
% 177.62/27.91 |
% 177.62/27.91 | REDUCE: (15), (24) imply:
% 177.62/27.91 | (32) op(unit, e2) = all_65_29
% 177.62/27.91 |
% 177.62/27.91 | REDUCE: (5), (24) imply:
% 177.62/27.91 | (33) op(unit, e0) = all_12_1
% 177.62/27.91 |
% 177.62/27.91 | GROUND_INST: instantiating (1) with e0, all_65_63, e0, unit, simplifying with
% 177.62/27.91 | (11), (31) gives:
% 177.62/27.91 | (34) all_65_63 = e0
% 177.62/27.91 |
% 177.62/27.91 | GROUND_INST: instantiating (1) with all_12_1, all_65_63, e0, unit, simplifying
% 177.62/27.91 | with (31), (33) gives:
% 177.62/27.91 | (35) all_65_63 = all_12_1
% 177.62/27.91 |
% 177.62/27.91 | GROUND_INST: instantiating (1) with e2, all_65_29, e2, unit, simplifying with
% 177.62/27.91 | (18), (32) gives:
% 177.62/27.91 | (36) all_65_29 = e2
% 177.62/27.91 |
% 177.62/27.91 | GROUND_INST: instantiating (1) with all_42_1, all_65_29, e2, unit, simplifying
% 177.62/27.91 | with (30), (32) gives:
% 177.62/27.91 | (37) all_65_29 = all_42_1
% 177.62/27.91 |
% 177.62/27.91 | COMBINE_EQS: (36), (37) imply:
% 177.62/27.91 | (38) all_42_1 = e2
% 177.62/27.91 |
% 177.62/27.91 | SIMP: (38) implies:
% 177.62/27.91 | (39) all_42_1 = e2
% 177.62/27.91 |
% 177.62/27.91 | COMBINE_EQS: (34), (35) imply:
% 177.62/27.91 | (40) all_12_1 = e0
% 177.62/27.91 |
% 177.62/27.91 | REF_CLOSE: (8), (26), (28), (29), (39), (40) are inconsistent by sub-proof
% 177.62/27.91 | #318.
% 177.62/27.91 |
% 177.62/27.91 End of proof
% 177.62/27.91
% 177.62/27.91 Sub-proof #318 shows that the following formulas are inconsistent:
% 177.62/27.91 ----------------------------------------------------------------
% 177.62/27.91 (1) ~ (all_12_1 = unit)
% 177.62/27.91 (2) ~ (unit = e1)
% 177.62/27.91 (3) all_42_1 = e2
% 177.62/27.91 (4) all_12_1 = e0
% 177.62/27.91 (5) unit = e2 | unit = e1 | unit = e0
% 177.62/27.91 (6) ~ (all_42_1 = unit)
% 177.62/27.91
% 177.62/27.91 Begin of proof
% 177.62/27.91 |
% 177.62/27.91 | REDUCE: (3), (6) imply:
% 177.62/27.91 | (7) ~ (unit = e2)
% 177.62/27.91 |
% 177.62/27.91 | SIMP: (7) implies:
% 177.62/27.91 | (8) ~ (unit = e2)
% 177.62/27.91 |
% 177.62/27.91 | REDUCE: (1), (4) imply:
% 177.62/27.91 | (9) ~ (unit = e0)
% 177.62/27.91 |
% 177.62/27.91 | SIMP: (9) implies:
% 177.62/27.91 | (10) ~ (unit = e0)
% 177.62/27.91 |
% 177.62/27.91 | REF_CLOSE: (2), (5), (8), (10) are inconsistent by sub-proof #398.
% 177.62/27.91 |
% 177.62/27.91 End of proof
% 177.62/27.91
% 177.62/27.91 Sub-proof #319 shows that the following formulas are inconsistent:
% 177.62/27.91 ----------------------------------------------------------------
% 177.62/27.91 (1) ~ (all_52_3 = e3)
% 177.62/27.91 (2) ~ (all_52_3 = e2)
% 177.62/27.91 (3) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 177.62/27.91 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 177.62/27.91 (4) op(e2, unit) = e2
% 177.62/27.91 (5) ~ (all_61_4 = e0)
% 177.62/27.91 (6) op(e3, e1) = all_61_8
% 177.62/27.91 (7) ~ (all_61_4 = all_61_8)
% 177.62/27.91 (8) ~ (all_61_4 = all_12_1)
% 177.62/27.91 (9) ~ (all_61_4 = e1)
% 177.62/27.91 (10) all_56_3 = e3 | all_56_3 = e2 | all_56_3 = e1 | all_56_3 = e0
% 177.62/27.91 (11) all_63_1 = all_61_4
% 177.62/27.92 (12) ~ (all_52_3 = e1)
% 177.62/27.92 (13) op(e2, e1) = all_12_1
% 177.62/27.92 (14) all_56_3 = all_52_3
% 177.62/27.92 (15) op(e3, unit) = e3
% 177.62/27.92 (16) all_63_1 = e3 | all_63_1 = e2 | all_63_1 = e1 | all_63_1 = e0
% 177.62/27.92 (17) op(e0, e0) = e1
% 177.62/27.92 (18) op(e0, all_52_3) = unit
% 177.62/27.92
% 177.62/27.92 Begin of proof
% 177.62/27.92 |
% 177.62/27.92 | BETA: splitting (10) gives:
% 177.62/27.92 |
% 177.62/27.92 | Case 1:
% 177.62/27.92 | |
% 177.62/27.92 | | (19) all_56_3 = e3
% 177.62/27.92 | |
% 177.62/27.92 | | COMBINE_EQS: (14), (19) imply:
% 177.62/27.92 | | (20) all_52_3 = e3
% 177.62/27.92 | |
% 177.62/27.92 | | REDUCE: (1), (20) imply:
% 177.62/27.92 | | (21) $false
% 177.62/27.92 | |
% 177.62/27.92 | | CLOSE: (21) is inconsistent.
% 177.62/27.92 | |
% 177.62/27.92 | Case 2:
% 177.62/27.92 | |
% 177.62/27.92 | | (22) all_56_3 = e2 | all_56_3 = e1 | all_56_3 = e0
% 177.62/27.92 | |
% 177.62/27.92 | | BETA: splitting (22) gives:
% 177.62/27.92 | |
% 177.62/27.92 | | Case 1:
% 177.62/27.92 | | |
% 177.62/27.92 | | | (23) all_56_3 = e2
% 177.62/27.92 | | |
% 177.62/27.92 | | | COMBINE_EQS: (14), (23) imply:
% 177.62/27.92 | | | (24) all_52_3 = e2
% 177.62/27.92 | | |
% 177.62/27.92 | | | REDUCE: (2), (24) imply:
% 177.62/27.92 | | | (25) $false
% 177.62/27.92 | | |
% 177.62/27.92 | | | CLOSE: (25) is inconsistent.
% 177.62/27.92 | | |
% 177.62/27.92 | | Case 2:
% 177.62/27.92 | | |
% 177.62/27.92 | | | (26) all_56_3 = e1 | all_56_3 = e0
% 177.62/27.92 | | |
% 177.62/27.92 | | | BETA: splitting (26) gives:
% 177.62/27.92 | | |
% 177.62/27.92 | | | Case 1:
% 177.62/27.92 | | | |
% 177.62/27.92 | | | | (27) all_56_3 = e1
% 177.62/27.92 | | | |
% 177.62/27.92 | | | | COMBINE_EQS: (14), (27) imply:
% 177.62/27.92 | | | | (28) all_52_3 = e1
% 177.62/27.92 | | | |
% 177.62/27.92 | | | | REDUCE: (12), (28) imply:
% 177.62/27.92 | | | | (29) $false
% 177.62/27.92 | | | |
% 177.62/27.92 | | | | CLOSE: (29) is inconsistent.
% 177.62/27.92 | | | |
% 177.62/27.92 | | | Case 2:
% 177.62/27.92 | | | |
% 177.62/27.92 | | | | (30) all_56_3 = e0
% 177.62/27.92 | | | |
% 177.62/27.92 | | | | COMBINE_EQS: (14), (30) imply:
% 177.62/27.92 | | | | (31) all_52_3 = e0
% 177.62/27.92 | | | |
% 177.62/27.92 | | | | REDUCE: (18), (31) imply:
% 177.62/27.92 | | | | (32) op(e0, e0) = unit
% 177.62/27.92 | | | |
% 177.62/27.92 | | | | GROUND_INST: instantiating (3) with e1, unit, e0, e0, simplifying with
% 177.62/27.92 | | | | (17), (32) gives:
% 177.62/27.92 | | | | (33) unit = e1
% 177.62/27.92 | | | |
% 177.62/27.92 | | | | REF_CLOSE: (3), (4), (5), (6), (7), (8), (9), (11), (13), (15), (16),
% 177.62/27.92 | | | | (33) are inconsistent by sub-proof #320.
% 177.62/27.92 | | | |
% 177.62/27.92 | | | End of split
% 177.62/27.92 | | |
% 177.62/27.92 | | End of split
% 177.62/27.92 | |
% 177.62/27.92 | End of split
% 177.62/27.92 |
% 177.62/27.92 End of proof
% 177.62/27.92
% 177.62/27.92 Sub-proof #320 shows that the following formulas are inconsistent:
% 177.62/27.92 ----------------------------------------------------------------
% 177.62/27.92 (1) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 177.62/27.92 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 177.62/27.92 (2) op(e2, unit) = e2
% 177.62/27.92 (3) ~ (all_61_4 = e0)
% 177.62/27.92 (4) op(e3, e1) = all_61_8
% 177.62/27.92 (5) ~ (all_61_4 = all_61_8)
% 177.62/27.92 (6) ~ (all_61_4 = all_12_1)
% 177.62/27.92 (7) unit = e1
% 177.62/27.92 (8) ~ (all_61_4 = e1)
% 177.62/27.92 (9) all_63_1 = all_61_4
% 177.62/27.92 (10) op(e2, e1) = all_12_1
% 177.62/27.92 (11) op(e3, unit) = e3
% 177.62/27.92 (12) all_63_1 = e3 | all_63_1 = e2 | all_63_1 = e1 | all_63_1 = e0
% 177.62/27.92
% 177.62/27.92 Begin of proof
% 177.62/27.92 |
% 177.62/27.92 | REDUCE: (7), (11) imply:
% 177.62/27.92 | (13) op(e3, e1) = e3
% 177.62/27.92 |
% 177.62/27.92 | REDUCE: (2), (7) imply:
% 177.62/27.92 | (14) op(e2, e1) = e2
% 177.62/27.92 |
% 177.62/27.92 | GROUND_INST: instantiating (1) with all_12_1, e2, e1, e2, simplifying with
% 177.62/27.92 | (10), (14) gives:
% 177.62/27.92 | (15) all_12_1 = e2
% 177.62/27.92 |
% 177.62/27.92 | GROUND_INST: instantiating (1) with all_61_8, e3, e1, e3, simplifying with
% 177.62/27.92 | (4), (13) gives:
% 177.62/27.92 | (16) all_61_8 = e3
% 177.62/27.92 |
% 177.62/27.92 | REDUCE: (5), (16) imply:
% 177.62/27.92 | (17) ~ (all_61_4 = e3)
% 177.62/27.92 |
% 177.62/27.92 | REDUCE: (6), (15) imply:
% 177.62/27.92 | (18) ~ (all_61_4 = e2)
% 177.62/27.92 |
% 177.62/27.92 | REF_CLOSE: (3), (8), (9), (12), (17), (18) are inconsistent by sub-proof #418.
% 177.62/27.92 |
% 177.62/27.92 End of proof
% 177.62/27.92
% 177.62/27.92 Sub-proof #321 shows that the following formulas are inconsistent:
% 177.62/27.92 ----------------------------------------------------------------
% 177.62/27.92 (1) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 177.62/27.92 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 177.62/27.92 (2) ~ (all_52_1 = all_52_2)
% 177.62/27.92 (3) op(e2, all_52_1) = unit
% 177.62/27.92 (4) all_58_2 = all_52_2
% 177.62/27.92 (5) op(e2, e1) = all_12_1
% 177.62/27.92 (6) all_58_1 = all_52_1
% 177.62/27.92 (7) all_58_1 = e1
% 177.62/27.92 (8) op(all_12_1, e2) = e1
% 177.62/27.92 (9) all_58_2 = e2
% 177.62/27.92 (10) op(unit, e2) = e2
% 177.62/27.92
% 177.62/27.92 Begin of proof
% 177.62/27.92 |
% 177.62/27.92 | COMBINE_EQS: (6), (7) imply:
% 177.62/27.92 | (11) all_52_1 = e1
% 177.62/27.92 |
% 177.62/27.92 | SIMP: (11) implies:
% 177.62/27.92 | (12) all_52_1 = e1
% 177.62/27.92 |
% 177.62/27.92 | COMBINE_EQS: (4), (9) imply:
% 177.62/27.92 | (13) all_52_2 = e2
% 177.62/27.92 |
% 177.62/27.92 | REF_CLOSE: (1), (2), (3), (5), (8), (10), (12), (13) are inconsistent by
% 177.62/27.92 | sub-proof #322.
% 177.62/27.92 |
% 177.62/27.92 End of proof
% 177.62/27.92
% 177.62/27.92 Sub-proof #322 shows that the following formulas are inconsistent:
% 177.62/27.92 ----------------------------------------------------------------
% 177.62/27.92 (1) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 177.62/27.92 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 177.62/27.92 (2) ~ (all_52_1 = all_52_2)
% 177.62/27.92 (3) all_52_2 = e2
% 177.62/27.92 (4) op(e2, all_52_1) = unit
% 177.62/27.92 (5) op(e2, e1) = all_12_1
% 177.62/27.92 (6) op(all_12_1, e2) = e1
% 177.62/27.92 (7) all_52_1 = e1
% 177.62/27.92 (8) op(unit, e2) = e2
% 177.62/27.92
% 177.62/27.92 Begin of proof
% 177.62/27.92 |
% 177.62/27.92 | REDUCE: (2), (3), (7) imply:
% 177.62/27.92 | (9) ~ (e2 = e1)
% 177.62/27.92 |
% 177.62/27.92 | SIMP: (9) implies:
% 177.62/27.92 | (10) ~ (e2 = e1)
% 177.62/27.92 |
% 177.62/27.92 | REDUCE: (4), (7) imply:
% 177.62/27.92 | (11) op(e2, e1) = unit
% 177.62/27.92 |
% 177.62/27.92 | REF_CLOSE: (1), (5), (6), (8), (10), (11) are inconsistent by sub-proof #328.
% 177.62/27.92 |
% 177.62/27.92 End of proof
% 177.62/27.92
% 177.62/27.92 Sub-proof #323 shows that the following formulas are inconsistent:
% 177.62/27.92 ----------------------------------------------------------------
% 177.62/27.92 (1) op(e2, all_61_13) = all_61_14
% 177.62/27.92 (2) ~ (all_52_3 = e3)
% 177.62/27.92 (3) ~ (all_52_1 = all_52_3)
% 177.62/27.92 (4) all_56_1 = e3 | all_56_1 = e2 | all_56_1 = e1 | all_56_1 = e0
% 177.62/27.92 (5) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 177.62/27.92 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 177.62/27.92 (6) ~ (all_52_1 = e3)
% 177.62/27.92 (7) op(e2, e2) = e1
% 177.62/27.92 (8) ~ (all_58_3 = e2) | all_58_1 = e0
% 177.62/27.92 (9) op(e0, e0) = e0
% 177.62/27.92 (10) op(e0, e2) = all_61_7
% 177.62/27.92 (11) op(all_61_7, e2) = all_61_11
% 177.62/27.92 (12) all_56_3 = e3 | all_56_3 = e2 | all_56_3 = e1 | all_56_3 = e0
% 177.62/27.92 (13) all_56_1 = all_52_1
% 177.62/27.92 (14) all_58_3 = all_52_3
% 177.62/27.92 (15) op(e2, all_52_1) = unit
% 177.62/27.92 (16) ~ (all_58_1 = e0) | all_58_3 = e2
% 177.62/27.92 (17) op(e2, e0) = all_61_13
% 177.62/27.92 (18) ~ (all_52_3 = e1)
% 177.62/27.92 (19) all_56_3 = all_52_3
% 177.62/27.92 (20) all_58_1 = all_52_1
% 177.62/27.92 (21) ~ (all_52_1 = e1)
% 177.62/27.92 (22) ~ (all_61_14 = e2)
% 177.62/27.92 (23) op(all_61_13, e2) = all_65_29
% 177.62/27.92 (24) op(e0, all_52_3) = unit
% 177.62/27.92 (25) op(e2, all_61_7) = all_65_29
% 177.62/27.92 (26) op(unit, e2) = e2
% 177.62/27.92
% 177.62/27.92 Begin of proof
% 177.62/27.92 |
% 177.62/27.92 | BETA: splitting (8) gives:
% 177.62/27.92 |
% 177.62/27.92 | Case 1:
% 177.62/27.92 | |
% 177.62/27.92 | | (27) ~ (all_58_3 = e2)
% 177.62/27.92 | |
% 177.62/27.92 | | REDUCE: (14), (27) imply:
% 177.62/27.92 | | (28) ~ (all_52_3 = e2)
% 177.62/27.92 | |
% 177.62/27.92 | | REF_CLOSE: (2), (3), (4), (5), (6), (7), (9), (12), (13), (14), (15), (16),
% 177.62/27.92 | | (18), (19), (20), (21), (24), (28) are inconsistent by sub-proof
% 177.62/27.92 | | #327.
% 177.62/27.92 | |
% 177.62/27.92 | Case 2:
% 177.62/27.92 | |
% 177.62/27.92 | | (29) all_58_3 = e2
% 177.62/27.92 | | (30) all_58_1 = e0
% 177.62/27.92 | |
% 177.62/27.92 | | REF_CLOSE: (1), (5), (10), (11), (14), (15), (17), (20), (22), (23), (24),
% 177.62/27.92 | | (25), (26), (29), (30) are inconsistent by sub-proof #324.
% 177.62/27.92 | |
% 177.62/27.92 | End of split
% 177.62/27.92 |
% 177.62/27.92 End of proof
% 177.62/27.92
% 177.62/27.92 Sub-proof #324 shows that the following formulas are inconsistent:
% 177.62/27.92 ----------------------------------------------------------------
% 177.62/27.92 (1) op(e2, all_61_13) = all_61_14
% 177.62/27.92 (2) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 177.62/27.92 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 177.62/27.92 (3) all_58_1 = e0
% 177.62/27.92 (4) op(e0, e2) = all_61_7
% 177.62/27.92 (5) op(all_61_7, e2) = all_61_11
% 177.62/27.92 (6) all_58_3 = all_52_3
% 177.62/27.92 (7) op(e2, all_52_1) = unit
% 177.62/27.92 (8) op(e2, e0) = all_61_13
% 177.62/27.92 (9) all_58_1 = all_52_1
% 177.62/27.92 (10) ~ (all_61_14 = e2)
% 177.62/27.92 (11) all_58_3 = e2
% 177.62/27.92 (12) op(all_61_13, e2) = all_65_29
% 177.62/27.92 (13) op(e0, all_52_3) = unit
% 177.62/27.92 (14) op(e2, all_61_7) = all_65_29
% 177.62/27.92 (15) op(unit, e2) = e2
% 177.62/27.92
% 177.62/27.92 Begin of proof
% 177.62/27.92 |
% 177.62/27.92 | COMBINE_EQS: (3), (9) imply:
% 177.62/27.92 | (16) all_52_1 = e0
% 177.62/27.92 |
% 177.62/27.92 | SIMP: (16) implies:
% 177.62/27.92 | (17) all_52_1 = e0
% 177.62/27.92 |
% 177.62/27.92 | COMBINE_EQS: (6), (11) imply:
% 177.62/27.92 | (18) all_52_3 = e2
% 177.62/27.92 |
% 177.62/27.92 | REF_CLOSE: (1), (2), (4), (5), (7), (8), (10), (12), (13), (14), (15), (17),
% 177.62/27.92 | (18) are inconsistent by sub-proof #325.
% 177.62/27.92 |
% 177.62/27.92 End of proof
% 177.62/27.92
% 177.62/27.92 Sub-proof #325 shows that the following formulas are inconsistent:
% 177.62/27.92 ----------------------------------------------------------------
% 177.62/27.92 (1) op(e2, all_61_13) = all_61_14
% 177.62/27.92 (2) all_52_3 = e2
% 177.62/27.92 (3) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 177.62/27.92 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 177.62/27.92 (4) op(e0, e2) = all_61_7
% 177.62/27.92 (5) op(all_61_7, e2) = all_61_11
% 177.62/27.92 (6) op(e2, all_52_1) = unit
% 177.62/27.92 (7) op(e2, e0) = all_61_13
% 177.62/27.92 (8) ~ (all_61_14 = e2)
% 177.62/27.92 (9) op(all_61_13, e2) = all_65_29
% 177.62/27.92 (10) op(e0, all_52_3) = unit
% 177.62/27.92 (11) all_52_1 = e0
% 177.62/27.92 (12) op(e2, all_61_7) = all_65_29
% 177.62/27.92 (13) op(unit, e2) = e2
% 177.62/27.92
% 177.62/27.92 Begin of proof
% 177.62/27.92 |
% 177.62/27.92 | REDUCE: (6), (11) imply:
% 177.62/27.92 | (14) op(e2, e0) = unit
% 177.62/27.92 |
% 177.62/27.92 | REDUCE: (2), (10) imply:
% 177.62/27.92 | (15) op(e0, e2) = unit
% 177.62/27.92 |
% 177.62/27.92 | REF_CLOSE: (1), (3), (4), (5), (7), (8), (9), (12), (13), (14), (15) are
% 177.62/27.92 | inconsistent by sub-proof #326.
% 177.62/27.92 |
% 177.62/27.92 End of proof
% 177.62/27.92
% 177.62/27.92 Sub-proof #326 shows that the following formulas are inconsistent:
% 177.62/27.92 ----------------------------------------------------------------
% 177.62/27.92 (1) op(e2, all_61_13) = all_61_14
% 177.62/27.92 (2) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 177.62/27.92 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 177.62/27.92 (3) op(e0, e2) = all_61_7
% 177.62/27.92 (4) op(all_61_7, e2) = all_61_11
% 177.62/27.92 (5) op(e2, e0) = all_61_13
% 177.62/27.92 (6) op(e0, e2) = unit
% 177.62/27.92 (7) ~ (all_61_14 = e2)
% 177.62/27.92 (8) op(e2, e0) = unit
% 177.62/27.92 (9) op(all_61_13, e2) = all_65_29
% 177.62/27.92 (10) op(e2, all_61_7) = all_65_29
% 177.62/27.92 (11) op(unit, e2) = e2
% 177.62/27.92
% 177.62/27.92 Begin of proof
% 177.62/27.92 |
% 177.62/27.92 | GROUND_INST: instantiating (2) with all_61_7, unit, e2, e0, simplifying with
% 177.62/27.92 | (3), (6) gives:
% 177.62/27.92 | (12) all_61_7 = unit
% 177.62/27.92 |
% 177.62/27.92 | GROUND_INST: instantiating (2) with all_61_13, unit, e0, e2, simplifying with
% 177.62/27.92 | (5), (8) gives:
% 177.62/27.92 | (13) all_61_13 = unit
% 177.62/27.92 |
% 177.62/27.92 | REDUCE: (4), (12) imply:
% 177.62/27.92 | (14) op(unit, e2) = all_61_11
% 177.62/27.92 |
% 177.62/27.92 | REDUCE: (9), (13) imply:
% 177.62/27.92 | (15) op(unit, e2) = all_65_29
% 177.62/27.92 |
% 177.62/27.92 | REDUCE: (10), (12) imply:
% 177.62/27.92 | (16) op(e2, unit) = all_65_29
% 177.62/27.92 |
% 177.62/27.92 | REDUCE: (1), (13) imply:
% 177.62/27.92 | (17) op(e2, unit) = all_61_14
% 177.62/27.92 |
% 177.62/27.92 | GROUND_INST: instantiating (2) with all_61_14, all_65_29, unit, e2,
% 177.62/27.92 | simplifying with (16), (17) gives:
% 177.62/27.92 | (18) all_65_29 = all_61_14
% 177.62/27.92 |
% 177.62/27.92 | GROUND_INST: instantiating (2) with e2, all_65_29, e2, unit, simplifying with
% 177.62/27.92 | (11), (15) gives:
% 177.62/27.92 | (19) all_65_29 = e2
% 177.62/27.92 |
% 177.62/27.92 | GROUND_INST: instantiating (2) with all_61_11, all_65_29, e2, unit,
% 177.62/27.92 | simplifying with (14), (15) gives:
% 177.62/27.92 | (20) all_65_29 = all_61_11
% 177.62/27.92 |
% 177.62/27.92 | COMBINE_EQS: (19), (20) imply:
% 177.62/27.92 | (21) all_61_11 = e2
% 177.62/27.92 |
% 177.62/27.92 | COMBINE_EQS: (18), (20) imply:
% 177.62/27.92 | (22) all_61_11 = all_61_14
% 177.62/27.92 |
% 177.62/27.92 | COMBINE_EQS: (21), (22) imply:
% 177.62/27.92 | (23) all_61_14 = e2
% 177.62/27.92 |
% 177.62/27.92 | SIMP: (23) implies:
% 177.62/27.92 | (24) all_61_14 = e2
% 177.62/27.92 |
% 177.62/27.92 | REDUCE: (7), (24) imply:
% 177.62/27.92 | (25) $false
% 177.62/27.92 |
% 177.62/27.92 | CLOSE: (25) is inconsistent.
% 177.62/27.92 |
% 177.62/27.92 End of proof
% 177.62/27.92
% 177.62/27.92 Sub-proof #327 shows that the following formulas are inconsistent:
% 177.62/27.92 ----------------------------------------------------------------
% 177.62/27.92 (1) ~ (all_52_3 = e3)
% 177.62/27.92 (2) ~ (all_52_1 = all_52_3)
% 177.62/27.92 (3) ~ (all_52_3 = e2)
% 177.62/27.92 (4) all_56_1 = e3 | all_56_1 = e2 | all_56_1 = e1 | all_56_1 = e0
% 177.62/27.92 (5) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 177.62/27.92 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 177.62/27.92 (6) ~ (all_52_1 = e3)
% 177.62/27.92 (7) op(e2, e2) = e1
% 177.62/27.92 (8) op(e0, e0) = e0
% 177.62/27.92 (9) all_56_3 = e3 | all_56_3 = e2 | all_56_3 = e1 | all_56_3 = e0
% 177.62/27.92 (10) all_56_1 = all_52_1
% 177.62/27.92 (11) all_58_3 = all_52_3
% 177.62/27.92 (12) op(e2, all_52_1) = unit
% 177.62/27.92 (13) ~ (all_58_1 = e0) | all_58_3 = e2
% 177.62/27.92 (14) ~ (all_52_3 = e1)
% 177.62/27.92 (15) all_56_3 = all_52_3
% 177.62/27.92 (16) all_58_1 = all_52_1
% 177.62/27.92 (17) ~ (all_52_1 = e1)
% 177.62/27.92 (18) op(e0, all_52_3) = unit
% 177.62/27.92
% 177.62/27.92 Begin of proof
% 177.62/27.92 |
% 177.62/27.92 | BETA: splitting (9) gives:
% 177.62/27.92 |
% 177.62/27.92 | Case 1:
% 177.62/27.92 | |
% 177.62/27.92 | | (19) all_56_3 = e3
% 177.62/27.92 | |
% 177.62/27.92 | | COMBINE_EQS: (15), (19) imply:
% 177.62/27.92 | | (20) all_52_3 = e3
% 177.62/27.92 | |
% 177.62/27.92 | | REDUCE: (1), (20) imply:
% 177.62/27.92 | | (21) $false
% 177.62/27.92 | |
% 177.62/27.92 | | CLOSE: (21) is inconsistent.
% 177.62/27.92 | |
% 177.62/27.92 | Case 2:
% 177.62/27.92 | |
% 177.62/27.92 | | (22) all_56_3 = e2 | all_56_3 = e1 | all_56_3 = e0
% 177.62/27.92 | |
% 177.62/27.92 | | BETA: splitting (13) gives:
% 177.62/27.92 | |
% 177.62/27.92 | | Case 1:
% 177.62/27.92 | | |
% 177.62/27.92 | | | (23) ~ (all_58_1 = e0)
% 177.62/27.92 | | |
% 177.62/27.92 | | | REDUCE: (16), (23) imply:
% 177.62/27.92 | | | (24) ~ (all_52_1 = e0)
% 177.62/27.92 | | |
% 177.62/27.92 | | | BETA: splitting (4) gives:
% 177.62/27.92 | | |
% 177.62/27.92 | | | Case 1:
% 177.62/27.92 | | | |
% 177.62/27.92 | | | | (25) all_56_1 = e3
% 177.62/27.92 | | | |
% 177.62/27.92 | | | | COMBINE_EQS: (10), (25) imply:
% 177.62/27.92 | | | | (26) all_52_1 = e3
% 177.62/27.92 | | | |
% 177.62/27.92 | | | | REDUCE: (6), (26) imply:
% 177.62/27.92 | | | | (27) $false
% 177.62/27.92 | | | |
% 177.62/27.92 | | | | CLOSE: (27) is inconsistent.
% 177.62/27.92 | | | |
% 177.62/27.92 | | | Case 2:
% 177.62/27.92 | | | |
% 177.62/27.92 | | | | (28) all_56_1 = e2 | all_56_1 = e1 | all_56_1 = e0
% 177.62/27.92 | | | |
% 177.62/27.92 | | | | BETA: splitting (28) gives:
% 177.62/27.92 | | | |
% 177.62/27.92 | | | | Case 1:
% 177.62/27.92 | | | | |
% 177.62/27.92 | | | | | (29) all_56_1 = e2
% 177.62/27.92 | | | | |
% 177.62/27.92 | | | | | COMBINE_EQS: (10), (29) imply:
% 177.62/27.92 | | | | | (30) all_52_1 = e2
% 177.62/27.92 | | | | |
% 177.62/27.92 | | | | | REDUCE: (2), (30) imply:
% 177.62/27.92 | | | | | (31) ~ (all_52_3 = e2)
% 177.62/27.92 | | | | |
% 177.62/27.92 | | | | | REDUCE: (12), (30) imply:
% 177.62/27.92 | | | | | (32) op(e2, e2) = unit
% 177.62/27.92 | | | | |
% 177.62/27.92 | | | | | BETA: splitting (22) gives:
% 177.62/27.92 | | | | |
% 177.62/27.92 | | | | | Case 1:
% 177.62/27.92 | | | | | |
% 177.62/27.92 | | | | | | (33) all_56_3 = e2
% 177.62/27.92 | | | | | |
% 177.62/27.92 | | | | | | REF_CLOSE: (3), (15), (33) are inconsistent by sub-proof #441.
% 177.62/27.92 | | | | | |
% 177.62/27.92 | | | | | Case 2:
% 177.62/27.92 | | | | | |
% 177.62/27.92 | | | | | | (34) all_56_3 = e1 | all_56_3 = e0
% 177.62/27.92 | | | | | |
% 177.62/27.92 | | | | | | BETA: splitting (34) gives:
% 177.62/27.92 | | | | | |
% 177.62/27.92 | | | | | | Case 1:
% 177.62/27.92 | | | | | | |
% 177.62/27.92 | | | | | | | (35) all_56_3 = e1
% 177.62/27.92 | | | | | | |
% 177.62/27.92 | | | | | | | REF_CLOSE: (14), (15), (35) are inconsistent by sub-proof #440.
% 177.62/27.92 | | | | | | |
% 177.62/27.92 | | | | | | Case 2:
% 177.62/27.92 | | | | | | |
% 177.62/27.92 | | | | | | | (36) all_56_3 = e0
% 177.62/27.92 | | | | | | |
% 177.62/27.92 | | | | | | | COMBINE_EQS: (15), (36) imply:
% 177.62/27.92 | | | | | | | (37) all_52_3 = e0
% 177.62/27.92 | | | | | | |
% 177.62/27.92 | | | | | | | SIMP: (37) implies:
% 177.62/27.92 | | | | | | | (38) all_52_3 = e0
% 177.62/27.92 | | | | | | |
% 177.62/27.92 | | | | | | | REDUCE: (14), (38) imply:
% 177.62/27.92 | | | | | | | (39) ~ (e1 = e0)
% 177.62/27.92 | | | | | | |
% 177.62/27.92 | | | | | | | SIMP: (39) implies:
% 177.62/27.92 | | | | | | | (40) ~ (e1 = e0)
% 177.62/27.92 | | | | | | |
% 177.62/27.92 | | | | | | | REDUCE: (18), (38) imply:
% 177.62/27.92 | | | | | | | (41) op(e0, e0) = unit
% 177.62/27.92 | | | | | | |
% 177.62/27.92 | | | | | | | GROUND_INST: instantiating (5) with e0, unit, e0, e0, simplifying
% 177.62/27.92 | | | | | | | with (8), (41) gives:
% 177.62/27.92 | | | | | | | (42) unit = e0
% 177.62/27.92 | | | | | | |
% 177.62/27.92 | | | | | | | GROUND_INST: instantiating (5) with e1, unit, e2, e2, simplifying
% 177.62/27.92 | | | | | | | with (7), (32) gives:
% 177.62/27.92 | | | | | | | (43) unit = e1
% 177.62/27.92 | | | | | | |
% 177.62/27.92 | | | | | | | COMBINE_EQS: (42), (43) imply:
% 177.62/27.92 | | | | | | | (44) e1 = e0
% 177.62/27.92 | | | | | | |
% 177.62/27.92 | | | | | | | SIMP: (44) implies:
% 177.62/27.92 | | | | | | | (45) e1 = e0
% 177.62/27.92 | | | | | | |
% 177.62/27.92 | | | | | | | REDUCE: (40), (45) imply:
% 177.62/27.92 | | | | | | | (46) $false
% 177.62/27.92 | | | | | | |
% 177.62/27.92 | | | | | | | CLOSE: (46) is inconsistent.
% 177.62/27.92 | | | | | | |
% 177.62/27.92 | | | | | | End of split
% 177.62/27.92 | | | | | |
% 177.62/27.92 | | | | | End of split
% 177.62/27.92 | | | | |
% 177.62/27.92 | | | | Case 2:
% 177.62/27.92 | | | | |
% 177.62/27.92 | | | | | (47) all_56_1 = e1 | all_56_1 = e0
% 177.62/27.92 | | | | |
% 177.62/27.92 | | | | | REF_CLOSE: (10), (17), (24), (47) are inconsistent by sub-proof #454.
% 177.62/27.92 | | | | |
% 177.62/27.92 | | | | End of split
% 177.62/27.92 | | | |
% 177.62/27.92 | | | End of split
% 177.62/27.92 | | |
% 177.62/27.92 | | Case 2:
% 177.62/27.92 | | |
% 177.62/27.92 | | | (48) all_58_3 = e2
% 177.62/27.92 | | |
% 177.62/27.92 | | | REF_CLOSE: (3), (11), (48) are inconsistent by sub-proof #459.
% 177.62/27.92 | | |
% 177.62/27.92 | | End of split
% 177.62/27.92 | |
% 177.62/27.92 | End of split
% 177.62/27.92 |
% 177.62/27.92 End of proof
% 177.62/27.92
% 177.62/27.92 Sub-proof #328 shows that the following formulas are inconsistent:
% 177.62/27.92 ----------------------------------------------------------------
% 177.62/27.92 (1) op(e2, e1) = unit
% 177.62/27.92 (2) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 177.62/27.92 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 177.62/27.92 (3) ~ (e2 = e1)
% 177.62/27.92 (4) op(e2, e1) = all_12_1
% 177.62/27.92 (5) op(all_12_1, e2) = e1
% 177.62/27.92 (6) op(unit, e2) = e2
% 177.62/27.92
% 177.62/27.92 Begin of proof
% 177.62/27.92 |
% 177.62/27.92 | GROUND_INST: instantiating (2) with all_12_1, unit, e1, e2, simplifying with
% 177.62/27.92 | (1), (4) gives:
% 177.62/27.92 | (7) all_12_1 = unit
% 177.62/27.92 |
% 177.62/27.92 | REDUCE: (5), (7) imply:
% 177.62/27.92 | (8) op(unit, e2) = e1
% 177.62/27.92 |
% 177.62/27.92 | GROUND_INST: instantiating (2) with e2, e1, e2, unit, simplifying with (6),
% 177.62/27.92 | (8) gives:
% 177.62/27.92 | (9) e2 = e1
% 177.62/27.92 |
% 177.62/27.92 | REDUCE: (3), (9) imply:
% 177.62/27.92 | (10) $false
% 177.62/27.92 |
% 177.62/27.92 | CLOSE: (10) is inconsistent.
% 177.62/27.92 |
% 177.62/27.92 End of proof
% 177.62/27.92
% 177.62/27.92 Sub-proof #329 shows that the following formulas are inconsistent:
% 177.62/27.92 ----------------------------------------------------------------
% 177.62/27.92 (1) ~ (all_61_7 = e2)
% 177.62/27.92 (2) ~ (all_61_7 = e1)
% 177.62/27.92 (3) ~ (all_61_3 = e1)
% 177.62/27.92 (4) all_63_13 = all_61_7
% 177.62/27.92 (5) all_63_13 = e3 | all_63_13 = e2 | all_63_13 = e1 | all_63_13 = e0
% 177.62/27.92 (6) all_63_12 = e3 | all_63_12 = e2 | all_63_12 = e1 | all_63_12 = e0
% 177.62/27.92 (7) ~ (all_61_7 = e0)
% 177.62/27.92 (8) ~ (all_61_3 = e2)
% 177.62/27.92 (9) all_63_12 = all_61_3
% 177.62/27.92 (10) ~ (all_61_3 = all_61_7)
% 177.62/27.92 (11) ~ (all_61_3 = e0)
% 177.62/27.92
% 177.62/27.92 Begin of proof
% 177.62/27.92 |
% 177.62/27.92 | BETA: splitting (6) gives:
% 177.62/27.92 |
% 177.62/27.92 | Case 1:
% 177.62/27.92 | |
% 177.62/27.92 | | (12) all_63_12 = e3
% 177.62/27.92 | |
% 177.62/27.92 | | COMBINE_EQS: (9), (12) imply:
% 177.62/27.92 | | (13) all_61_3 = e3
% 177.62/27.92 | |
% 177.62/27.92 | | REDUCE: (10), (13) imply:
% 177.62/27.92 | | (14) ~ (all_61_7 = e3)
% 177.62/27.92 | |
% 177.62/27.92 | | SIMP: (14) implies:
% 177.62/27.92 | | (15) ~ (all_61_7 = e3)
% 177.62/27.92 | |
% 177.62/27.92 | | REF_CLOSE: (1), (2), (4), (5), (7), (15) are inconsistent by sub-proof #331.
% 177.62/27.92 | |
% 177.62/27.92 | Case 2:
% 177.62/27.92 | |
% 177.62/27.92 | | (16) all_63_12 = e2 | all_63_12 = e1 | all_63_12 = e0
% 177.62/27.92 | |
% 177.62/27.92 | | REF_CLOSE: (3), (8), (9), (11), (16) are inconsistent by sub-proof #330.
% 177.62/27.92 | |
% 177.62/27.92 | End of split
% 177.62/27.92 |
% 177.62/27.92 End of proof
% 177.62/27.92
% 177.62/27.92 Sub-proof #330 shows that the following formulas are inconsistent:
% 177.62/27.92 ----------------------------------------------------------------
% 177.62/27.92 (1) ~ (all_61_3 = e1)
% 177.62/27.92 (2) ~ (all_61_3 = e2)
% 177.62/27.92 (3) all_63_12 = all_61_3
% 177.62/27.92 (4) ~ (all_61_3 = e0)
% 177.62/27.92 (5) all_63_12 = e2 | all_63_12 = e1 | all_63_12 = e0
% 177.62/27.92
% 177.62/27.92 Begin of proof
% 177.62/27.92 |
% 177.62/27.92 | BETA: splitting (5) gives:
% 177.62/27.92 |
% 177.62/27.92 | Case 1:
% 177.62/27.92 | |
% 177.62/27.92 | | (6) all_63_12 = e2
% 177.62/27.92 | |
% 177.62/27.92 | | REF_CLOSE: (2), (3), (6) are inconsistent by sub-proof #371.
% 177.62/27.92 | |
% 177.62/27.92 | Case 2:
% 177.62/27.92 | |
% 177.62/27.92 | | (7) all_63_12 = e1 | all_63_12 = e0
% 177.62/27.92 | |
% 177.62/27.92 | | REF_CLOSE: (1), (3), (4), (7) are inconsistent by sub-proof #420.
% 177.62/27.92 | |
% 177.62/27.92 | End of split
% 177.62/27.92 |
% 177.62/27.92 End of proof
% 177.62/27.92
% 177.62/27.92 Sub-proof #331 shows that the following formulas are inconsistent:
% 177.62/27.92 ----------------------------------------------------------------
% 177.62/27.92 (1) ~ (all_61_7 = e2)
% 177.62/27.92 (2) ~ (all_61_7 = e1)
% 177.62/27.92 (3) all_63_13 = all_61_7
% 177.62/27.92 (4) all_63_13 = e3 | all_63_13 = e2 | all_63_13 = e1 | all_63_13 = e0
% 177.62/27.92 (5) ~ (all_61_7 = e3)
% 177.62/27.92 (6) ~ (all_61_7 = e0)
% 177.62/27.92
% 177.62/27.92 Begin of proof
% 177.62/27.92 |
% 177.62/27.92 | BETA: splitting (4) gives:
% 177.62/27.92 |
% 177.62/27.92 | Case 1:
% 177.62/27.92 | |
% 177.62/27.92 | | (7) all_63_13 = e3
% 177.62/27.92 | |
% 177.62/27.92 | | COMBINE_EQS: (3), (7) imply:
% 177.62/27.92 | | (8) all_61_7 = e3
% 177.62/27.92 | |
% 177.62/27.92 | | REDUCE: (5), (8) imply:
% 177.62/27.92 | | (9) $false
% 177.62/27.92 | |
% 177.62/27.92 | | CLOSE: (9) is inconsistent.
% 177.62/27.92 | |
% 177.62/27.92 | Case 2:
% 177.62/27.92 | |
% 177.62/27.92 | | (10) all_63_13 = e2 | all_63_13 = e1 | all_63_13 = e0
% 177.62/27.92 | |
% 177.62/27.92 | | REF_CLOSE: (1), (2), (3), (6), (10) are inconsistent by sub-proof #444.
% 177.62/27.92 | |
% 177.62/27.92 | End of split
% 177.62/27.92 |
% 177.62/27.92 End of proof
% 177.62/27.92
% 177.62/27.92 Sub-proof #332 shows that the following formulas are inconsistent:
% 177.62/27.92 ----------------------------------------------------------------
% 177.62/27.92 (1) op(e1, e1) = all_65_32
% 177.62/27.92 (2) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 177.62/27.92 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 177.62/27.92 (3) op(e1, e1) = e1
% 177.62/27.92 (4) op(e1, e1) = all_65_2
% 177.62/27.92 (5) op(e1, e1) = all_60_2
% 177.62/27.92 (6) ~ (all_60_2 = e1)
% 177.62/27.92
% 177.62/27.92 Begin of proof
% 177.62/27.92 |
% 177.62/27.92 | GROUND_INST: instantiating (2) with e1, all_65_2, e1, e1, simplifying with
% 177.62/27.92 | (3), (4) gives:
% 177.62/27.92 | (7) all_65_2 = e1
% 177.62/27.92 |
% 177.62/27.92 | GROUND_INST: instantiating (2) with all_65_32, all_65_2, e1, e1, simplifying
% 177.62/27.92 | with (1), (4) gives:
% 177.62/27.92 | (8) all_65_2 = all_65_32
% 177.62/27.92 |
% 177.62/27.92 | GROUND_INST: instantiating (2) with all_60_2, all_65_2, e1, e1, simplifying
% 177.62/27.92 | with (4), (5) gives:
% 177.62/27.92 | (9) all_65_2 = all_60_2
% 177.62/27.92 |
% 177.62/27.92 | COMBINE_EQS: (8), (9) imply:
% 177.62/27.92 | (10) all_65_32 = all_60_2
% 177.62/27.92 |
% 177.62/27.92 | COMBINE_EQS: (7), (8) imply:
% 177.62/27.92 | (11) all_65_32 = e1
% 177.62/27.92 |
% 177.62/27.92 | COMBINE_EQS: (10), (11) imply:
% 177.62/27.92 | (12) all_60_2 = e1
% 177.62/27.92 |
% 177.62/27.92 | SIMP: (12) implies:
% 177.62/27.92 | (13) all_60_2 = e1
% 177.62/27.92 |
% 177.62/27.92 | REDUCE: (6), (13) imply:
% 177.62/27.92 | (14) $false
% 177.62/27.92 |
% 177.62/27.92 | CLOSE: (14) is inconsistent.
% 177.62/27.92 |
% 177.62/27.92 End of proof
% 177.62/27.92
% 177.62/27.92 Sub-proof #333 shows that the following formulas are inconsistent:
% 177.62/27.92 ----------------------------------------------------------------
% 177.62/27.92 (1) ~ (all_60_1 = e1) & op(e2, e2) = all_60_1 & $i(all_60_1)
% 177.62/27.92 (2) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 177.62/27.92 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 177.62/27.92 (3) op(e2, e2) = e1
% 177.62/27.92
% 177.62/27.92 Begin of proof
% 177.62/27.92 |
% 177.62/27.92 | ALPHA: (1) implies:
% 177.62/27.92 | (4) ~ (all_60_1 = e1)
% 177.62/27.92 | (5) op(e2, e2) = all_60_1
% 177.62/27.92 |
% 177.62/27.92 | GROUND_INST: instantiating (2) with e1, all_60_1, e2, e2, simplifying with
% 177.62/27.92 | (3), (5) gives:
% 177.62/27.92 | (6) all_60_1 = e1
% 177.62/27.92 |
% 177.62/27.92 | REDUCE: (4), (6) imply:
% 177.62/27.92 | (7) $false
% 177.62/27.92 |
% 177.62/27.92 | CLOSE: (7) is inconsistent.
% 177.62/27.92 |
% 177.62/27.92 End of proof
% 177.62/27.92
% 177.62/27.92 Sub-proof #334 shows that the following formulas are inconsistent:
% 177.62/27.92 ----------------------------------------------------------------
% 177.62/27.92 (1) ~ (all_60_0 = e1) & op(e3, e3) = all_60_0 & $i(all_60_0)
% 177.62/27.92 (2) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 177.62/27.92 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 177.62/27.92 (3) op(e3, e3) = e1
% 177.62/27.92
% 177.62/27.92 Begin of proof
% 177.62/27.92 |
% 177.62/27.92 | ALPHA: (1) implies:
% 177.62/27.92 | (4) ~ (all_60_0 = e1)
% 177.62/27.92 | (5) op(e3, e3) = all_60_0
% 177.62/27.92 |
% 177.62/27.92 | GROUND_INST: instantiating (2) with e1, all_60_0, e3, e3, simplifying with
% 177.62/27.92 | (3), (5) gives:
% 177.62/27.92 | (6) all_60_0 = e1
% 177.62/27.92 |
% 177.62/27.92 | REDUCE: (4), (6) imply:
% 177.62/27.92 | (7) $false
% 177.62/27.92 |
% 177.62/27.92 | CLOSE: (7) is inconsistent.
% 177.62/27.92 |
% 177.62/27.92 End of proof
% 177.62/27.92
% 177.62/27.92 Sub-proof #335 shows that the following formulas are inconsistent:
% 177.62/27.92 ----------------------------------------------------------------
% 177.62/27.92 (1) all_56_0 = e3 | all_56_0 = e2 | all_56_0 = e1 | all_56_0 = e0
% 177.62/27.92 (2) op(e3, all_52_0) = unit
% 177.62/27.92 (3) all_58_0 = all_52_0
% 177.62/27.93 (4) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 177.62/27.93 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 177.62/27.93 (5) op(e2, unit) = e2
% 177.62/27.93 (6) ~ (all_52_0 = e1)
% 177.62/27.93 (7) op(all_61_12, e0) = all_14_1
% 177.62/27.93 (8) ~ (all_58_0 = e0) | all_58_3 = e3
% 177.62/27.93 (9) op(e2, e2) = e0
% 177.62/27.93 (10) ~ (all_14_1 = e0)
% 177.62/27.93 (11) ~ (all_52_0 = e2)
% 177.62/27.93 (12) all_58_3 = all_52_3
% 177.62/27.93 (13) ~ (all_58_3 = e3) | all_58_0 = e0
% 177.62/27.93 (14) op(e3, e0) = all_61_12
% 177.62/27.93 (15) op(e3, e3) = e2
% 177.62/27.93 (16) ~ (e2 = e0)
% 177.62/27.93 (17) op(unit, e0) = e0
% 177.62/27.93 (18) all_56_0 = all_52_0
% 177.62/27.93
% 177.62/27.93 Begin of proof
% 177.62/27.93 |
% 177.62/27.93 | BETA: splitting (13) gives:
% 177.62/27.93 |
% 177.62/27.93 | Case 1:
% 177.62/27.93 | |
% 177.62/27.93 | | (19) ~ (all_58_3 = e3)
% 177.62/27.93 | |
% 177.62/27.93 | | REDUCE: (12), (19) imply:
% 177.62/27.93 | | (20) ~ (all_52_3 = e3)
% 177.62/27.93 | |
% 177.62/27.93 | | BETA: splitting (8) gives:
% 177.62/27.93 | |
% 177.62/27.93 | | Case 1:
% 177.62/27.93 | | |
% 177.62/27.93 | | | (21) ~ (all_58_0 = e0)
% 177.62/27.93 | | |
% 177.62/27.93 | | | REDUCE: (3), (21) imply:
% 177.62/27.93 | | | (22) ~ (all_52_0 = e0)
% 177.62/27.93 | | |
% 177.62/27.93 | | | BETA: splitting (1) gives:
% 177.62/27.93 | | |
% 177.62/27.93 | | | Case 1:
% 177.62/27.93 | | | |
% 177.62/27.93 | | | | (23) all_56_0 = e3
% 177.62/27.93 | | | |
% 177.62/27.93 | | | | COMBINE_EQS: (18), (23) imply:
% 177.62/27.93 | | | | (24) all_52_0 = e3
% 177.62/27.93 | | | |
% 177.62/27.93 | | | | SIMP: (24) implies:
% 177.62/27.93 | | | | (25) all_52_0 = e3
% 177.62/27.93 | | | |
% 177.62/27.93 | | | | REDUCE: (2), (25) imply:
% 177.62/27.93 | | | | (26) op(e3, e3) = unit
% 177.62/27.93 | | | |
% 177.62/27.93 | | | | GROUND_INST: instantiating (4) with e2, unit, e3, e3, simplifying with
% 177.62/27.93 | | | | (15), (26) gives:
% 177.62/27.93 | | | | (27) unit = e2
% 177.62/27.93 | | | |
% 177.62/27.93 | | | | REF_CLOSE: (4), (5), (9), (16), (27) are inconsistent by sub-proof #375.
% 177.62/27.93 | | | |
% 177.62/27.93 | | | Case 2:
% 177.62/27.93 | | | |
% 177.62/27.93 | | | | (28) all_56_0 = e2 | all_56_0 = e1 | all_56_0 = e0
% 177.62/27.93 | | | |
% 177.62/27.93 | | | | REF_CLOSE: (6), (11), (18), (22), (28) are inconsistent by sub-proof
% 177.62/27.93 | | | | #512.
% 177.62/27.93 | | | |
% 177.62/27.93 | | | End of split
% 177.62/27.93 | | |
% 177.62/27.93 | | Case 2:
% 177.62/27.93 | | |
% 177.62/27.93 | | | (29) all_58_3 = e3
% 177.62/27.93 | | |
% 177.62/27.93 | | | REF_CLOSE: (12), (20), (29) are inconsistent by sub-proof #509.
% 177.62/27.93 | | |
% 177.62/27.93 | | End of split
% 177.62/27.93 | |
% 177.62/27.93 | Case 2:
% 177.62/27.93 | |
% 177.62/27.93 | | (30) all_58_0 = e0
% 177.62/27.93 | |
% 177.62/27.93 | | COMBINE_EQS: (3), (30) imply:
% 177.62/27.93 | | (31) all_52_0 = e0
% 177.62/27.93 | |
% 177.62/27.93 | | SIMP: (31) implies:
% 177.62/27.93 | | (32) all_52_0 = e0
% 177.62/27.93 | |
% 177.62/27.93 | | REDUCE: (2), (32) imply:
% 177.62/27.93 | | (33) op(e3, e0) = unit
% 177.62/27.93 | |
% 177.62/27.93 | | REF_CLOSE: (4), (7), (10), (14), (17), (33) are inconsistent by sub-proof
% 177.62/27.93 | | #336.
% 177.62/27.93 | |
% 177.62/27.93 | End of split
% 177.62/27.93 |
% 177.62/27.93 End of proof
% 177.62/27.93
% 177.62/27.93 Sub-proof #336 shows that the following formulas are inconsistent:
% 177.62/27.93 ----------------------------------------------------------------
% 177.62/27.93 (1) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 177.62/27.93 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 177.62/27.93 (2) op(all_61_12, e0) = all_14_1
% 177.62/27.93 (3) ~ (all_14_1 = e0)
% 177.62/27.93 (4) op(e3, e0) = unit
% 177.62/27.93 (5) op(e3, e0) = all_61_12
% 177.62/27.93 (6) op(unit, e0) = e0
% 177.62/27.93
% 177.62/27.93 Begin of proof
% 177.62/27.93 |
% 177.62/27.93 | GROUND_INST: instantiating (1) with all_61_12, unit, e0, e3, simplifying with
% 177.62/27.93 | (4), (5) gives:
% 177.62/27.93 | (7) all_61_12 = unit
% 177.62/27.93 |
% 177.62/27.93 | REDUCE: (2), (7) imply:
% 177.62/27.93 | (8) op(unit, e0) = all_14_1
% 177.62/27.93 |
% 177.62/27.93 | GROUND_INST: instantiating (1) with e0, all_14_1, e0, unit, simplifying with
% 177.62/27.93 | (6), (8) gives:
% 177.62/27.93 | (9) all_14_1 = e0
% 177.62/27.93 |
% 177.62/27.93 | REDUCE: (3), (9) imply:
% 177.62/27.93 | (10) $false
% 177.62/27.93 |
% 177.62/27.93 | CLOSE: (10) is inconsistent.
% 177.62/27.93 |
% 177.62/27.93 End of proof
% 177.62/27.93
% 177.62/27.93 Sub-proof #337 shows that the following formulas are inconsistent:
% 177.62/27.93 ----------------------------------------------------------------
% 177.62/27.93 (1) all_56_0 = e3 | all_56_0 = e2 | all_56_0 = e1 | all_56_0 = e0
% 177.62/27.93 (2) op(e3, all_52_0) = unit
% 177.62/27.93 (3) all_58_0 = all_52_0
% 177.62/27.93 (4) all_56_1 = e3 | all_56_1 = e2 | all_56_1 = e1 | all_56_1 = e0
% 177.62/27.93 (5) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 177.62/27.93 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 177.62/27.93 (6) ~ (all_52_1 = e3)
% 177.62/27.93 (7) ~ (all_52_0 = e1)
% 177.62/27.93 (8) ~ (all_52_0 = e0)
% 177.62/27.93 (9) ~ (all_58_0 = e2) | all_58_1 = e3
% 177.62/27.93 (10) op(e2, e2) = e0
% 177.62/27.93 (11) all_56_1 = all_52_1
% 177.62/27.93 (12) op(e2, all_52_1) = unit
% 177.62/27.93 (13) op(e3, e3) = e2
% 177.62/27.93 (14) all_58_1 = all_52_1
% 177.62/27.93 (15) ~ (all_52_1 = e1)
% 177.62/27.93 (16) all_56_0 = all_52_0
% 177.62/27.93 (17) ~ (all_52_1 = e0)
% 177.62/27.93
% 177.62/27.93 Begin of proof
% 177.62/27.93 |
% 177.62/27.93 | BETA: splitting (4) gives:
% 177.62/27.93 |
% 177.62/27.93 | Case 1:
% 177.62/27.93 | |
% 177.62/27.93 | | (18) all_56_1 = e3
% 177.62/27.93 | |
% 177.62/27.93 | | REF_CLOSE: (6), (11), (18) are inconsistent by sub-proof #455.
% 177.62/27.93 | |
% 177.62/27.93 | Case 2:
% 177.62/27.93 | |
% 177.62/27.93 | | (19) ~ (all_56_1 = e3)
% 177.62/27.93 | | (20) all_56_1 = e2 | all_56_1 = e1 | all_56_1 = e0
% 177.62/27.93 | |
% 177.62/27.93 | | BETA: splitting (9) gives:
% 177.62/27.93 | |
% 177.62/27.93 | | Case 1:
% 177.62/27.93 | | |
% 177.62/27.93 | | | (21) ~ (all_58_0 = e2)
% 177.62/27.93 | | |
% 177.62/27.93 | | | REDUCE: (3), (21) imply:
% 177.62/27.93 | | | (22) ~ (all_52_0 = e2)
% 177.62/27.93 | | |
% 177.62/27.93 | | | BETA: splitting (1) gives:
% 177.62/27.93 | | |
% 177.62/27.93 | | | Case 1:
% 177.62/27.93 | | | |
% 177.62/27.93 | | | | (23) all_56_0 = e3
% 177.62/27.93 | | | |
% 177.62/27.93 | | | | COMBINE_EQS: (16), (23) imply:
% 177.62/27.93 | | | | (24) all_52_0 = e3
% 177.62/27.93 | | | |
% 177.62/27.93 | | | | SIMP: (24) implies:
% 177.62/27.93 | | | | (25) all_52_0 = e3
% 177.62/27.93 | | | |
% 177.62/27.93 | | | | REDUCE: (2), (25) imply:
% 177.62/27.93 | | | | (26) op(e3, e3) = unit
% 177.62/27.93 | | | |
% 177.62/27.93 | | | | BETA: splitting (20) gives:
% 177.62/27.93 | | | |
% 177.62/27.93 | | | | Case 1:
% 177.62/27.93 | | | | |
% 177.62/27.93 | | | | | (27) all_56_1 = e2
% 177.62/27.93 | | | | |
% 177.62/27.93 | | | | | COMBINE_EQS: (11), (27) imply:
% 177.62/27.93 | | | | | (28) all_52_1 = e2
% 177.62/27.93 | | | | |
% 177.62/27.93 | | | | | SIMP: (28) implies:
% 177.62/27.93 | | | | | (29) all_52_1 = e2
% 177.62/27.93 | | | | |
% 177.62/27.93 | | | | | REDUCE: (17), (29) imply:
% 177.62/27.93 | | | | | (30) ~ (e2 = e0)
% 177.62/27.93 | | | | |
% 177.62/27.93 | | | | | REDUCE: (12), (29) imply:
% 177.62/27.93 | | | | | (31) op(e2, e2) = unit
% 177.62/27.93 | | | | |
% 177.62/27.93 | | | | | GROUND_INST: instantiating (5) with e0, unit, e2, e2, simplifying with
% 177.62/27.93 | | | | | (10), (31) gives:
% 177.62/27.93 | | | | | (32) unit = e0
% 177.62/27.93 | | | | |
% 177.62/27.93 | | | | | GROUND_INST: instantiating (5) with e2, unit, e3, e3, simplifying with
% 177.62/27.93 | | | | | (13), (26) gives:
% 177.62/27.93 | | | | | (33) unit = e2
% 177.62/27.93 | | | | |
% 177.62/27.93 | | | | | REF_CLOSE: (30), (32), (33) are inconsistent by sub-proof #338.
% 177.62/27.93 | | | | |
% 177.62/27.93 | | | | Case 2:
% 177.62/27.93 | | | | |
% 177.62/27.93 | | | | | (34) all_56_1 = e1 | all_56_1 = e0
% 177.62/27.93 | | | | |
% 177.62/27.93 | | | | | REF_CLOSE: (11), (15), (17), (34) are inconsistent by sub-proof #454.
% 177.62/27.93 | | | | |
% 177.62/27.93 | | | | End of split
% 177.62/27.93 | | | |
% 177.62/27.93 | | | Case 2:
% 177.62/27.93 | | | |
% 177.62/27.93 | | | | (35) all_56_0 = e2 | all_56_0 = e1 | all_56_0 = e0
% 177.62/27.93 | | | |
% 177.62/27.93 | | | | REF_CLOSE: (7), (8), (16), (22), (35) are inconsistent by sub-proof
% 177.62/27.93 | | | | #512.
% 177.62/27.93 | | | |
% 177.62/27.93 | | | End of split
% 177.62/27.93 | | |
% 177.62/27.93 | | Case 2:
% 177.62/27.93 | | |
% 177.62/27.93 | | | (36) all_58_1 = e3
% 177.62/27.93 | | |
% 177.62/27.93 | | | REF_CLOSE: (6), (14), (36) are inconsistent by sub-proof #511.
% 177.62/27.93 | | |
% 177.62/27.93 | | End of split
% 177.62/27.93 | |
% 177.62/27.93 | End of split
% 177.62/27.93 |
% 177.62/27.93 End of proof
% 177.62/27.93
% 177.62/27.93 Sub-proof #338 shows that the following formulas are inconsistent:
% 177.62/27.93 ----------------------------------------------------------------
% 177.62/27.93 (1) unit = e2
% 177.62/27.93 (2) unit = e0
% 177.62/27.93 (3) ~ (e2 = e0)
% 177.62/27.93
% 177.62/27.93 Begin of proof
% 177.62/27.93 |
% 177.62/27.93 | COMBINE_EQS: (1), (2) imply:
% 177.62/27.93 | (4) e2 = e0
% 177.62/27.93 |
% 177.62/27.93 | SIMP: (4) implies:
% 177.62/27.93 | (5) e2 = e0
% 177.62/27.93 |
% 177.62/27.93 | REDUCE: (3), (5) imply:
% 177.62/27.93 | (6) $false
% 177.62/27.93 |
% 177.62/27.93 | CLOSE: (6) is inconsistent.
% 177.62/27.93 |
% 177.62/27.93 End of proof
% 177.62/27.93
% 177.62/27.93 Sub-proof #339 shows that the following formulas are inconsistent:
% 177.62/27.93 ----------------------------------------------------------------
% 177.62/27.93 (1) all_63_4 = all_14_1
% 177.62/27.93 (2) ~ (all_14_1 = e1)
% 177.62/27.93 (3) ~ (all_14_1 = e2)
% 177.62/27.93 (4) all_63_4 = e3 | all_63_4 = e2 | all_63_4 = e1 | all_63_4 = e0
% 177.62/27.93 (5) ~ (all_61_8 = e2)
% 177.62/27.93 (6) all_63_12 = all_61_12
% 177.62/27.93 (7) ~ (all_14_1 = e0)
% 177.62/27.93 (8) ~ (all_61_8 = all_14_1)
% 177.62/27.93 (9) all_63_2 = e3 | all_63_2 = e2 | all_63_2 = e1 | all_63_2 = e0
% 177.62/27.93 (10) ~ (all_61_8 = all_61_12)
% 177.62/27.93 (11) all_63_12 = e3 | all_63_12 = e2 | all_63_12 = e1 | all_63_12 = e0
% 177.62/27.93 (12) ~ (all_61_12 = e1)
% 177.62/27.93 (13) ~ (all_61_12 = all_14_1)
% 177.62/27.93 (14) ~ (all_61_12 = e2)
% 177.62/27.93 (15) ~ (all_61_8 = e1)
% 177.62/27.93 (16) all_63_2 = all_61_8
% 177.62/27.93
% 177.62/27.93 Begin of proof
% 177.62/27.93 |
% 177.62/27.93 | BETA: splitting (4) gives:
% 177.62/27.93 |
% 177.62/27.93 | Case 1:
% 177.62/27.93 | |
% 177.62/27.93 | | (17) all_63_4 = e3
% 177.62/27.93 | |
% 177.62/27.93 | | COMBINE_EQS: (1), (17) imply:
% 177.62/27.93 | | (18) all_14_1 = e3
% 177.62/27.93 | |
% 177.62/27.93 | | REDUCE: (8), (18) imply:
% 177.62/27.93 | | (19) ~ (all_61_8 = e3)
% 177.62/27.93 | |
% 177.62/27.93 | | REDUCE: (13), (18) imply:
% 177.62/27.93 | | (20) ~ (all_61_12 = e3)
% 177.62/27.93 | |
% 177.62/27.93 | | BETA: splitting (11) gives:
% 177.62/27.93 | |
% 177.62/27.93 | | Case 1:
% 177.62/27.93 | | |
% 177.62/27.93 | | | (21) all_63_12 = e3
% 177.62/27.93 | | |
% 177.62/27.93 | | | COMBINE_EQS: (6), (21) imply:
% 177.62/27.93 | | | (22) all_61_12 = e3
% 177.62/27.93 | | |
% 177.62/27.93 | | | REDUCE: (20), (22) imply:
% 177.62/27.93 | | | (23) $false
% 177.62/27.93 | | |
% 177.62/27.93 | | | CLOSE: (23) is inconsistent.
% 177.62/27.93 | | |
% 177.62/27.93 | | Case 2:
% 177.62/27.93 | | |
% 177.62/27.93 | | | (24) all_63_12 = e2 | all_63_12 = e1 | all_63_12 = e0
% 177.62/27.93 | | |
% 177.62/27.93 | | | BETA: splitting (24) gives:
% 177.62/27.93 | | |
% 177.62/27.93 | | | Case 1:
% 177.62/27.93 | | | |
% 177.62/27.93 | | | | (25) all_63_12 = e2
% 177.62/27.93 | | | |
% 177.62/27.93 | | | | COMBINE_EQS: (6), (25) imply:
% 177.62/27.93 | | | | (26) all_61_12 = e2
% 177.62/27.93 | | | |
% 177.62/27.93 | | | | REDUCE: (14), (26) imply:
% 177.62/27.93 | | | | (27) $false
% 177.62/27.93 | | | |
% 177.62/27.93 | | | | CLOSE: (27) is inconsistent.
% 177.62/27.93 | | | |
% 177.62/27.93 | | | Case 2:
% 177.62/27.93 | | | |
% 177.62/27.93 | | | | (28) all_63_12 = e1 | all_63_12 = e0
% 177.62/27.93 | | | |
% 177.62/27.93 | | | | BETA: splitting (9) gives:
% 177.62/27.93 | | | |
% 177.62/27.93 | | | | Case 1:
% 177.62/27.93 | | | | |
% 177.62/27.93 | | | | | (29) all_63_2 = e3
% 177.62/27.93 | | | | |
% 177.62/27.93 | | | | | COMBINE_EQS: (16), (29) imply:
% 177.62/27.93 | | | | | (30) all_61_8 = e3
% 177.62/27.93 | | | | |
% 177.62/27.93 | | | | | REDUCE: (19), (30) imply:
% 177.62/27.93 | | | | | (31) $false
% 177.62/27.93 | | | | |
% 177.62/27.93 | | | | | CLOSE: (31) is inconsistent.
% 177.62/27.93 | | | | |
% 177.62/27.93 | | | | Case 2:
% 177.62/27.93 | | | | |
% 177.62/27.93 | | | | | (32) all_63_2 = e2 | all_63_2 = e1 | all_63_2 = e0
% 177.62/27.93 | | | | |
% 177.62/27.93 | | | | | BETA: splitting (28) gives:
% 177.62/27.93 | | | | |
% 177.62/27.93 | | | | | Case 1:
% 177.62/27.93 | | | | | |
% 177.62/27.93 | | | | | | (33) all_63_12 = e1
% 177.62/27.93 | | | | | |
% 177.62/27.93 | | | | | | COMBINE_EQS: (6), (33) imply:
% 177.62/27.93 | | | | | | (34) all_61_12 = e1
% 177.62/27.93 | | | | | |
% 177.62/27.93 | | | | | | REDUCE: (12), (34) imply:
% 177.62/27.93 | | | | | | (35) $false
% 177.62/27.93 | | | | | |
% 177.62/27.93 | | | | | | CLOSE: (35) is inconsistent.
% 177.62/27.93 | | | | | |
% 177.62/27.93 | | | | | Case 2:
% 177.62/27.93 | | | | | |
% 177.62/27.93 | | | | | | (36) all_63_12 = e0
% 177.62/27.93 | | | | | |
% 177.62/27.93 | | | | | | COMBINE_EQS: (6), (36) imply:
% 177.62/27.93 | | | | | | (37) all_61_12 = e0
% 177.62/27.93 | | | | | |
% 177.62/27.93 | | | | | | REDUCE: (10), (37) imply:
% 177.62/27.93 | | | | | | (38) ~ (all_61_8 = e0)
% 177.62/27.93 | | | | | |
% 177.62/27.93 | | | | | | REF_CLOSE: (5), (15), (16), (32), (38) are inconsistent by sub-proof
% 177.62/27.93 | | | | | | #401.
% 177.62/27.93 | | | | | |
% 177.62/27.93 | | | | | End of split
% 177.62/27.93 | | | | |
% 177.62/27.93 | | | | End of split
% 177.62/27.93 | | | |
% 177.62/27.93 | | | End of split
% 177.62/27.93 | | |
% 177.62/27.93 | | End of split
% 177.62/27.93 | |
% 177.62/27.93 | Case 2:
% 177.62/27.93 | |
% 177.62/27.93 | | (39) all_63_4 = e2 | all_63_4 = e1 | all_63_4 = e0
% 177.62/27.93 | |
% 177.62/27.93 | | REF_CLOSE: (1), (2), (3), (7), (39) are inconsistent by sub-proof #354.
% 177.62/27.93 | |
% 177.62/27.93 | End of split
% 177.62/27.93 |
% 177.62/27.93 End of proof
% 177.62/27.93
% 177.62/27.93 Sub-proof #340 shows that the following formulas are inconsistent:
% 177.62/27.93 ----------------------------------------------------------------
% 177.62/27.93 (1) ~ (all_52_3 = e3)
% 177.62/27.93 (2) ~ (all_52_1 = all_52_3)
% 177.62/27.93 (3) all_56_1 = e3 | all_56_1 = e2 | all_56_1 = e1 | all_56_1 = e0
% 177.62/27.93 (4) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 177.62/27.93 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 177.62/27.93 (5) ~ (all_52_1 = e3)
% 177.62/27.93 (6) op(e2, e2) = e0
% 177.62/27.93 (7) all_56_3 = e3 | all_56_3 = e2 | all_56_3 = e1 | all_56_3 = e0
% 177.62/27.93 (8) all_56_1 = all_52_1
% 177.62/27.93 (9) op(e2, all_52_1) = unit
% 177.62/27.93 (10) ~ (all_52_3 = e1)
% 177.62/27.93 (11) all_56_3 = all_52_3
% 177.62/27.93 (12) ~ (all_52_1 = e1)
% 177.62/27.93 (13) op(e0, e0) = e2
% 177.62/27.93 (14) op(e0, all_52_3) = unit
% 177.62/27.93 (15) ~ (all_52_1 = e0)
% 177.62/27.93
% 177.62/27.93 Begin of proof
% 177.62/27.93 |
% 177.62/27.93 | BETA: splitting (3) gives:
% 177.62/27.93 |
% 177.62/27.93 | Case 1:
% 177.62/27.93 | |
% 177.62/27.93 | | (16) all_56_1 = e3
% 177.62/27.93 | |
% 177.62/27.93 | | REF_CLOSE: (5), (8), (16) are inconsistent by sub-proof #455.
% 177.62/27.93 | |
% 177.62/27.93 | Case 2:
% 177.62/27.93 | |
% 177.62/27.93 | | (17) all_56_1 = e2 | all_56_1 = e1 | all_56_1 = e0
% 177.62/27.93 | |
% 177.62/27.93 | | BETA: splitting (17) gives:
% 177.62/27.93 | |
% 177.62/27.93 | | Case 1:
% 177.62/27.93 | | |
% 177.62/27.93 | | | (18) all_56_1 = e2
% 177.62/27.93 | | |
% 177.62/27.93 | | | COMBINE_EQS: (8), (18) imply:
% 177.62/27.93 | | | (19) all_52_1 = e2
% 177.62/27.93 | | |
% 177.62/27.93 | | | SIMP: (19) implies:
% 177.62/27.93 | | | (20) all_52_1 = e2
% 177.62/27.93 | | |
% 177.62/27.93 | | | REDUCE: (2), (20) imply:
% 177.62/27.93 | | | (21) ~ (all_52_3 = e2)
% 177.62/27.93 | | |
% 177.62/27.93 | | | SIMP: (21) implies:
% 177.62/27.93 | | | (22) ~ (all_52_3 = e2)
% 177.62/27.93 | | |
% 177.62/27.93 | | | REDUCE: (9), (20) imply:
% 177.62/27.93 | | | (23) op(e2, e2) = unit
% 177.62/27.93 | | |
% 177.62/27.93 | | | BETA: splitting (7) gives:
% 177.62/27.93 | | |
% 177.62/27.93 | | | Case 1:
% 177.62/27.93 | | | |
% 177.62/27.93 | | | | (24) all_56_3 = e3
% 177.62/27.93 | | | |
% 177.62/27.93 | | | | REF_CLOSE: (1), (11), (24) are inconsistent by sub-proof #442.
% 177.62/27.93 | | | |
% 177.62/27.93 | | | Case 2:
% 177.62/27.93 | | | |
% 177.62/27.93 | | | | (25) all_56_3 = e2 | all_56_3 = e1 | all_56_3 = e0
% 177.62/27.93 | | | |
% 177.62/27.93 | | | | BETA: splitting (25) gives:
% 177.62/27.93 | | | |
% 177.62/27.93 | | | | Case 1:
% 177.62/27.93 | | | | |
% 177.62/27.93 | | | | | (26) all_56_3 = e2
% 177.62/27.93 | | | | |
% 177.62/27.93 | | | | | REF_CLOSE: (11), (22), (26) are inconsistent by sub-proof #441.
% 177.62/27.93 | | | | |
% 177.62/27.93 | | | | Case 2:
% 177.62/27.93 | | | | |
% 177.62/27.93 | | | | | (27) ~ (all_56_3 = e2)
% 177.62/27.93 | | | | | (28) all_56_3 = e1 | all_56_3 = e0
% 177.62/27.93 | | | | |
% 177.62/27.93 | | | | | BETA: splitting (28) gives:
% 177.62/27.93 | | | | |
% 177.62/27.93 | | | | | Case 1:
% 177.62/27.93 | | | | | |
% 177.62/27.93 | | | | | | (29) all_56_3 = e1
% 177.62/27.93 | | | | | |
% 177.62/27.93 | | | | | | REF_CLOSE: (10), (11), (29) are inconsistent by sub-proof #440.
% 177.62/27.93 | | | | | |
% 177.62/27.93 | | | | | Case 2:
% 177.62/27.93 | | | | | |
% 177.62/27.93 | | | | | | (30) all_56_3 = e0
% 177.62/27.93 | | | | | |
% 177.62/27.93 | | | | | | COMBINE_EQS: (11), (30) imply:
% 177.62/27.93 | | | | | | (31) all_52_3 = e0
% 177.62/27.93 | | | | | |
% 177.62/27.93 | | | | | | SIMP: (31) implies:
% 177.62/27.93 | | | | | | (32) all_52_3 = e0
% 177.62/27.93 | | | | | |
% 177.62/27.93 | | | | | | REDUCE: (22), (32) imply:
% 177.62/27.93 | | | | | | (33) ~ (e2 = e0)
% 177.62/27.93 | | | | | |
% 177.62/27.93 | | | | | | SIMP: (33) implies:
% 177.62/27.93 | | | | | | (34) ~ (e2 = e0)
% 177.62/27.93 | | | | | |
% 177.62/27.93 | | | | | | REDUCE: (14), (32) imply:
% 177.62/27.93 | | | | | | (35) op(e0, e0) = unit
% 177.62/27.93 | | | | | |
% 177.62/27.93 | | | | | | GROUND_INST: instantiating (4) with e2, unit, e0, e0, simplifying
% 177.62/27.93 | | | | | | with (13), (35) gives:
% 177.62/27.93 | | | | | | (36) unit = e2
% 177.62/27.93 | | | | | |
% 177.62/27.93 | | | | | | GROUND_INST: instantiating (4) with e0, unit, e2, e2, simplifying
% 177.62/27.93 | | | | | | with (6), (23) gives:
% 177.62/27.93 | | | | | | (37) unit = e0
% 177.62/27.93 | | | | | |
% 177.62/27.93 | | | | | | COMBINE_EQS: (36), (37) imply:
% 177.62/27.93 | | | | | | (38) e2 = e0
% 177.62/27.93 | | | | | |
% 177.62/27.93 | | | | | | REDUCE: (34), (38) imply:
% 177.62/27.93 | | | | | | (39) $false
% 177.62/27.93 | | | | | |
% 177.62/27.93 | | | | | | CLOSE: (39) is inconsistent.
% 177.62/27.93 | | | | | |
% 177.62/27.93 | | | | | End of split
% 177.62/27.93 | | | | |
% 177.62/27.93 | | | | End of split
% 177.62/27.93 | | | |
% 177.62/27.93 | | | End of split
% 177.62/27.93 | | |
% 177.62/27.93 | | Case 2:
% 177.62/27.93 | | |
% 177.62/27.93 | | | (40) all_56_1 = e1 | all_56_1 = e0
% 177.62/27.93 | | |
% 177.62/27.93 | | | REF_CLOSE: (8), (12), (15), (40) are inconsistent by sub-proof #454.
% 177.62/27.93 | | |
% 177.62/27.93 | | End of split
% 177.62/27.93 | |
% 177.62/27.93 | End of split
% 177.62/27.93 |
% 177.62/27.93 End of proof
% 177.62/27.93
% 177.62/27.93 Sub-proof #341 shows that the following formulas are inconsistent:
% 177.62/27.93 ----------------------------------------------------------------
% 177.62/27.93 (1) ~ (all_60_3 = e2) & op(e0, e0) = all_60_3 & $i(all_60_3)
% 177.62/27.93 (2) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 177.62/27.93 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 177.62/27.93 (3) op(e0, e0) = e2
% 177.62/27.93
% 177.62/27.93 Begin of proof
% 177.62/27.93 |
% 177.62/27.93 | ALPHA: (1) implies:
% 177.62/27.93 | (4) ~ (all_60_3 = e2)
% 177.62/27.93 | (5) op(e0, e0) = all_60_3
% 177.62/27.93 |
% 177.62/27.93 | GROUND_INST: instantiating (2) with e2, all_60_3, e0, e0, simplifying with
% 177.62/27.93 | (3), (5) gives:
% 177.62/27.93 | (6) all_60_3 = e2
% 177.62/27.93 |
% 177.62/27.93 | REDUCE: (4), (6) imply:
% 177.62/27.93 | (7) $false
% 177.62/27.93 |
% 177.62/27.93 | CLOSE: (7) is inconsistent.
% 177.62/27.93 |
% 177.62/27.93 End of proof
% 177.62/27.93
% 177.62/27.93 Sub-proof #342 shows that the following formulas are inconsistent:
% 177.62/27.93 ----------------------------------------------------------------
% 177.62/27.93 (1) all_63_6 = all_61_9
% 177.62/27.93 (2) ~ (all_61_8 = all_61_9)
% 177.62/27.93 (3) ~ (all_61_9 = e2)
% 177.62/27.93 (4) ~ (all_61_8 = e0)
% 177.62/27.93 (5) ~ (all_61_8 = e2)
% 177.62/27.93 (6) all_63_6 = e3 | all_63_6 = e2 | all_63_6 = e1 | all_63_6 = e0
% 177.62/27.93 (7) all_63_2 = e3 | all_63_2 = e2 | all_63_2 = e1 | all_63_2 = e0
% 177.62/27.93 (8) ~ (all_61_9 = e0)
% 177.62/27.93 (9) ~ (all_61_9 = e1)
% 177.62/27.93 (10) ~ (all_61_8 = e1)
% 177.62/27.93 (11) all_63_2 = all_61_8
% 177.62/27.93
% 177.62/27.93 Begin of proof
% 177.62/27.93 |
% 177.62/27.93 | BETA: splitting (7) gives:
% 177.62/27.93 |
% 177.62/27.93 | Case 1:
% 177.62/27.93 | |
% 177.62/27.93 | | (12) all_63_2 = e3
% 177.62/27.93 | |
% 177.62/27.93 | | COMBINE_EQS: (11), (12) imply:
% 177.62/27.93 | | (13) all_61_8 = e3
% 177.62/27.93 | |
% 177.62/27.93 | | REDUCE: (2), (13) imply:
% 177.62/27.93 | | (14) ~ (all_61_9 = e3)
% 177.62/27.93 | |
% 177.62/27.93 | | SIMP: (14) implies:
% 177.62/27.93 | | (15) ~ (all_61_9 = e3)
% 177.62/27.93 | |
% 177.62/27.93 | | REF_CLOSE: (1), (3), (6), (8), (9), (15) are inconsistent by sub-proof #395.
% 177.62/27.93 | |
% 177.62/27.93 | Case 2:
% 177.62/27.93 | |
% 177.62/27.93 | | (16) all_63_2 = e2 | all_63_2 = e1 | all_63_2 = e0
% 177.62/27.93 | |
% 177.62/27.93 | | REF_CLOSE: (4), (5), (10), (11), (16) are inconsistent by sub-proof #401.
% 177.62/27.93 | |
% 177.62/27.93 | End of split
% 177.62/27.93 |
% 177.62/27.93 End of proof
% 177.62/27.93
% 177.62/27.93 Sub-proof #343 shows that the following formulas are inconsistent:
% 177.62/27.93 ----------------------------------------------------------------
% 177.62/27.93 (1) ~ (all_61_11 = e0)
% 177.62/27.93 (2) ~ (all_61_11 = e2)
% 177.62/27.93 (3) all_63_14 = all_61_11
% 177.62/27.93 (4) ~ (all_61_11 = e3)
% 177.62/27.93 (5) all_63_14 = e3 | all_63_14 = e2 | all_63_14 = e1 | all_63_14 = e0
% 177.62/27.93 (6) ~ (all_61_11 = e1)
% 177.62/27.93
% 177.62/27.93 Begin of proof
% 177.62/27.93 |
% 177.62/27.93 | BETA: splitting (5) gives:
% 177.62/27.93 |
% 177.62/27.93 | Case 1:
% 177.62/27.93 | |
% 177.62/27.93 | | (7) all_63_14 = e3
% 177.62/27.93 | |
% 177.62/27.93 | | COMBINE_EQS: (3), (7) imply:
% 177.62/27.93 | | (8) all_61_11 = e3
% 177.62/27.93 | |
% 177.62/27.93 | | REDUCE: (4), (8) imply:
% 177.62/27.93 | | (9) $false
% 177.62/27.93 | |
% 177.62/27.93 | | CLOSE: (9) is inconsistent.
% 177.62/27.93 | |
% 177.62/27.93 | Case 2:
% 177.62/27.93 | |
% 177.62/27.93 | | (10) all_63_14 = e2 | all_63_14 = e1 | all_63_14 = e0
% 177.62/27.93 | |
% 177.62/27.93 | | REF_CLOSE: (1), (2), (3), (6), (10) are inconsistent by sub-proof #517.
% 177.62/27.93 | |
% 177.62/27.93 | End of split
% 177.62/27.93 |
% 177.62/27.93 End of proof
% 177.62/27.93
% 177.62/27.93 Sub-proof #344 shows that the following formulas are inconsistent:
% 177.62/27.93 ----------------------------------------------------------------
% 177.62/27.93 (1) op(e2, e2) = all_65_21
% 177.62/27.93 (2) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 177.62/27.93 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 177.62/27.93 (3) ( ~ (all_60_0 = e2) & op(e3, e3) = all_60_0 & $i(all_60_0)) | ( ~
% 177.62/27.93 (all_60_1 = e2) & op(e2, e2) = all_60_1 & $i(all_60_1))
% 177.62/27.93 (4) op(e3, e3) = e2
% 177.62/27.93 (5) op(e2, e2) = e2
% 177.62/27.93
% 177.62/27.93 Begin of proof
% 177.62/27.93 |
% 177.62/27.93 | BETA: splitting (3) gives:
% 177.62/27.93 |
% 177.62/27.93 | Case 1:
% 177.62/27.93 | |
% 177.62/27.93 | | (6) ~ (all_60_0 = e2) & op(e3, e3) = all_60_0 & $i(all_60_0)
% 177.62/27.93 | |
% 177.62/27.93 | | ALPHA: (6) implies:
% 177.62/27.93 | | (7) ~ (all_60_0 = e2)
% 177.62/27.93 | | (8) op(e3, e3) = all_60_0
% 177.62/27.93 | |
% 177.62/27.93 | | REF_CLOSE: (2), (4), (7), (8) are inconsistent by sub-proof #346.
% 177.62/27.93 | |
% 177.62/27.93 | Case 2:
% 177.62/27.93 | |
% 177.62/27.93 | | (9) ~ (all_60_1 = e2) & op(e2, e2) = all_60_1 & $i(all_60_1)
% 177.62/27.93 | |
% 177.62/27.93 | | ALPHA: (9) implies:
% 177.62/27.93 | | (10) ~ (all_60_1 = e2)
% 177.62/27.93 | | (11) op(e2, e2) = all_60_1
% 177.62/27.93 | |
% 177.62/27.93 | | REF_CLOSE: (1), (2), (5), (10), (11) are inconsistent by sub-proof #345.
% 177.62/27.93 | |
% 177.62/27.93 | End of split
% 177.62/27.93 |
% 177.62/27.93 End of proof
% 177.62/27.93
% 177.62/27.93 Sub-proof #345 shows that the following formulas are inconsistent:
% 177.62/27.93 ----------------------------------------------------------------
% 177.62/27.93 (1) op(e2, e2) = all_65_21
% 177.62/27.93 (2) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 177.62/27.93 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 177.62/27.93 (3) op(e2, e2) = all_60_1
% 177.62/27.93 (4) ~ (all_60_1 = e2)
% 177.62/27.93 (5) op(e2, e2) = e2
% 177.62/27.93
% 177.62/27.93 Begin of proof
% 177.62/27.93 |
% 177.62/27.93 | GROUND_INST: instantiating (2) with all_60_1, all_65_21, e2, e2, simplifying
% 177.62/27.93 | with (1), (3) gives:
% 177.62/27.93 | (6) all_65_21 = all_60_1
% 177.62/27.93 |
% 177.62/27.93 | GROUND_INST: instantiating (2) with e2, all_65_21, e2, e2, simplifying with
% 177.62/27.93 | (1), (5) gives:
% 177.62/27.93 | (7) all_65_21 = e2
% 177.62/27.93 |
% 177.62/27.93 | COMBINE_EQS: (6), (7) imply:
% 177.62/27.93 | (8) all_60_1 = e2
% 177.62/27.93 |
% 177.62/27.93 | REDUCE: (4), (8) imply:
% 177.62/27.93 | (9) $false
% 177.62/27.93 |
% 177.62/27.93 | CLOSE: (9) is inconsistent.
% 177.62/27.93 |
% 177.62/27.93 End of proof
% 177.62/27.93
% 177.62/27.93 Sub-proof #346 shows that the following formulas are inconsistent:
% 177.62/27.93 ----------------------------------------------------------------
% 177.62/27.93 (1) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 177.62/27.93 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 177.62/27.93 (2) op(e3, e3) = all_60_0
% 177.62/27.93 (3) op(e3, e3) = e2
% 177.62/27.93 (4) ~ (all_60_0 = e2)
% 177.62/27.93
% 177.62/27.93 Begin of proof
% 177.62/27.93 |
% 177.62/27.93 | GROUND_INST: instantiating (1) with e2, all_60_0, e3, e3, simplifying with
% 177.62/27.93 | (2), (3) gives:
% 177.62/27.93 | (5) all_60_0 = e2
% 177.62/27.93 |
% 177.62/27.93 | REDUCE: (4), (5) imply:
% 177.62/27.93 | (6) $false
% 177.62/27.93 |
% 177.62/27.93 | CLOSE: (6) is inconsistent.
% 177.62/27.93 |
% 177.62/27.93 End of proof
% 177.62/27.93
% 177.62/27.93 Sub-proof #347 shows that the following formulas are inconsistent:
% 177.62/27.93 ----------------------------------------------------------------
% 177.62/27.93 (1) op(e0, e0) = e3
% 177.62/27.93 (2) ~ (all_58_1 = e3) | all_58_0 = e2
% 177.62/27.93 (3) ~ (all_52_3 = e3)
% 177.62/27.93 (4) ~ (all_52_1 = all_52_3)
% 177.62/27.93 (5) ~ (all_52_0 = all_52_3)
% 177.62/27.93 (6) all_58_0 = all_52_0
% 177.62/27.93 (7) all_56_1 = e3 | all_56_1 = e2 | all_56_1 = e1 | all_56_1 = e0
% 177.62/27.93 (8) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 177.62/27.93 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 177.62/27.93 (9) op(e2, e2) = e0
% 177.62/27.93 (10) all_56_3 = e3 | all_56_3 = e2 | all_56_3 = e1 | all_56_3 = e0
% 177.62/27.93 (11) all_56_1 = all_52_1
% 177.62/27.93 (12) all_58_3 = all_52_3
% 177.62/27.93 (13) ~ (all_52_2 = e2)
% 177.62/27.93 (14) op(e2, all_52_1) = unit
% 177.62/27.93 (15) all_58_2 = all_52_2
% 177.62/27.93 (16) ~ (all_58_1 = e0) | all_58_3 = e2
% 177.62/27.93 (17) ~ (all_52_3 = e1)
% 177.62/27.93 (18) all_56_3 = all_52_3
% 177.62/27.93 (19) all_58_1 = all_52_1
% 177.62/27.93 (20) op(e2, e0) = all_22_1
% 177.62/27.93 (21) ~ (all_58_1 = e1) | all_58_2 = e2
% 177.62/27.93 (22) op(all_22_1, e2) = e3
% 177.62/27.93 (23) ~ (unit = e3)
% 177.62/27.93 (24) op(e0, unit) = e0
% 177.62/27.93 (25) op(e0, all_52_3) = unit
% 177.62/27.93 (26) op(unit, e2) = e2
% 177.62/27.93
% 177.62/27.93 Begin of proof
% 177.62/27.93 |
% 177.62/27.93 | BETA: splitting (16) gives:
% 177.62/27.93 |
% 177.62/27.93 | Case 1:
% 177.62/27.93 | |
% 177.62/27.93 | | (27) ~ (all_58_1 = e0)
% 177.62/27.93 | |
% 177.62/27.93 | | REDUCE: (19), (27) imply:
% 177.62/27.93 | | (28) ~ (all_52_1 = e0)
% 177.62/27.93 | |
% 177.62/27.93 | | REF_CLOSE: (1), (2), (4), (5), (6), (7), (8), (9), (10), (11), (13), (14),
% 177.62/27.93 | | (15), (17), (18), (19), (21), (23), (24), (25), (28) are
% 177.62/27.93 | | inconsistent by sub-proof #349.
% 177.62/27.93 | |
% 177.62/27.93 | Case 2:
% 177.62/27.93 | |
% 177.62/27.93 | | (29) all_58_3 = e2
% 177.62/27.93 | | (30) all_58_1 = e0
% 177.62/27.93 | |
% 177.62/27.93 | | REF_CLOSE: (3), (8), (12), (14), (19), (20), (22), (26), (29), (30) are
% 177.62/27.93 | | inconsistent by sub-proof #348.
% 177.62/27.93 | |
% 177.62/27.93 | End of split
% 177.62/27.93 |
% 177.62/27.93 End of proof
% 177.62/27.93
% 177.62/27.93 Sub-proof #348 shows that the following formulas are inconsistent:
% 177.62/27.93 ----------------------------------------------------------------
% 177.62/27.93 (1) ~ (all_52_3 = e3)
% 177.62/27.93 (2) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 177.62/27.93 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 177.62/27.93 (3) all_58_1 = e0
% 177.62/27.93 (4) all_58_3 = all_52_3
% 177.62/27.93 (5) op(e2, all_52_1) = unit
% 177.62/27.93 (6) all_58_1 = all_52_1
% 177.62/27.93 (7) op(e2, e0) = all_22_1
% 177.62/27.93 (8) all_58_3 = e2
% 177.62/27.93 (9) op(all_22_1, e2) = e3
% 177.62/27.93 (10) op(unit, e2) = e2
% 177.62/27.93
% 177.62/27.93 Begin of proof
% 177.62/27.93 |
% 177.62/27.93 | COMBINE_EQS: (3), (6) imply:
% 177.62/27.93 | (11) all_52_1 = e0
% 177.62/27.93 |
% 177.62/27.93 | SIMP: (11) implies:
% 177.62/27.93 | (12) all_52_1 = e0
% 177.62/27.93 |
% 177.62/27.93 | COMBINE_EQS: (4), (8) imply:
% 177.62/27.93 | (13) all_52_3 = e2
% 177.62/27.93 |
% 177.62/27.93 | SIMP: (13) implies:
% 177.62/27.93 | (14) all_52_3 = e2
% 177.62/27.93 |
% 177.62/27.93 | REDUCE: (1), (14) imply:
% 177.62/27.93 | (15) ~ (e3 = e2)
% 177.62/27.93 |
% 177.62/27.93 | SIMP: (15) implies:
% 177.62/27.93 | (16) ~ (e3 = e2)
% 177.62/27.93 |
% 177.62/27.93 | REDUCE: (5), (12) imply:
% 177.62/27.93 | (17) op(e2, e0) = unit
% 177.62/27.93 |
% 177.62/27.93 | REF_CLOSE: (2), (7), (9), (10), (16), (17) are inconsistent by sub-proof #391.
% 177.62/27.93 |
% 177.62/27.93 End of proof
% 177.62/27.93
% 177.62/27.93 Sub-proof #349 shows that the following formulas are inconsistent:
% 177.62/27.93 ----------------------------------------------------------------
% 177.62/27.93 (1) op(e0, e0) = e3
% 177.62/27.93 (2) ~ (all_58_1 = e3) | all_58_0 = e2
% 177.62/27.93 (3) ~ (all_52_1 = all_52_3)
% 177.62/27.93 (4) ~ (all_52_0 = all_52_3)
% 177.62/27.93 (5) all_58_0 = all_52_0
% 177.62/27.93 (6) all_56_1 = e3 | all_56_1 = e2 | all_56_1 = e1 | all_56_1 = e0
% 177.62/27.93 (7) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 177.62/27.93 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 177.62/27.93 (8) op(e2, e2) = e0
% 177.62/27.93 (9) all_56_3 = e3 | all_56_3 = e2 | all_56_3 = e1 | all_56_3 = e0
% 177.62/27.93 (10) all_56_1 = all_52_1
% 177.62/27.93 (11) ~ (all_52_2 = e2)
% 177.62/27.93 (12) op(e2, all_52_1) = unit
% 177.62/27.93 (13) all_58_2 = all_52_2
% 177.62/27.93 (14) ~ (all_52_3 = e1)
% 177.62/27.93 (15) all_56_3 = all_52_3
% 177.62/27.93 (16) all_58_1 = all_52_1
% 177.62/27.93 (17) ~ (all_58_1 = e1) | all_58_2 = e2
% 177.62/27.93 (18) ~ (unit = e3)
% 177.62/27.93 (19) op(e0, unit) = e0
% 177.62/27.93 (20) op(e0, all_52_3) = unit
% 177.62/27.93 (21) ~ (all_52_1 = e0)
% 177.62/27.93
% 177.62/27.93 Begin of proof
% 177.62/27.93 |
% 177.62/27.93 | BETA: splitting (17) gives:
% 177.62/27.93 |
% 177.62/27.93 | Case 1:
% 177.62/27.93 | |
% 177.62/27.93 | | (22) ~ (all_58_1 = e1)
% 177.62/27.93 | |
% 177.62/27.93 | | REDUCE: (16), (22) imply:
% 177.62/27.93 | | (23) ~ (all_52_1 = e1)
% 177.62/27.93 | |
% 177.62/27.93 | | BETA: splitting (2) gives:
% 177.62/27.93 | |
% 177.62/27.93 | | Case 1:
% 177.62/27.93 | | |
% 177.62/27.93 | | | (24) ~ (all_58_1 = e3)
% 177.62/27.93 | | |
% 177.62/27.93 | | | REF_CLOSE: (1), (6), (7), (8), (10), (12), (16), (18), (19), (21), (23),
% 177.62/27.93 | | | (24) are inconsistent by sub-proof #392.
% 177.62/27.93 | | |
% 177.62/27.93 | | Case 2:
% 177.62/27.93 | | |
% 177.62/27.94 | | | (25) all_58_1 = e3
% 177.62/27.94 | | | (26) all_58_0 = e2
% 177.62/27.94 | | |
% 177.62/27.94 | | | COMBINE_EQS: (5), (26) imply:
% 177.62/27.94 | | | (27) all_52_0 = e2
% 177.62/27.94 | | |
% 177.62/27.94 | | | SIMP: (27) implies:
% 177.62/27.94 | | | (28) all_52_0 = e2
% 177.62/27.94 | | |
% 177.62/27.94 | | | COMBINE_EQS: (16), (25) imply:
% 177.62/27.94 | | | (29) all_52_1 = e3
% 177.62/27.94 | | |
% 177.62/27.94 | | | SIMP: (29) implies:
% 177.62/27.94 | | | (30) all_52_1 = e3
% 177.62/27.94 | | |
% 177.62/27.94 | | | REDUCE: (4), (28) imply:
% 177.62/27.94 | | | (31) ~ (all_52_3 = e2)
% 177.62/27.94 | | |
% 177.62/27.94 | | | SIMP: (31) implies:
% 177.62/27.94 | | | (32) ~ (all_52_3 = e2)
% 177.62/27.94 | | |
% 177.62/27.94 | | | REDUCE: (3), (30) imply:
% 177.62/27.94 | | | (33) ~ (all_52_3 = e3)
% 177.62/27.94 | | |
% 177.62/27.94 | | | SIMP: (33) implies:
% 177.62/27.94 | | | (34) ~ (all_52_3 = e3)
% 177.62/27.94 | | |
% 177.62/27.94 | | | REF_CLOSE: (1), (7), (9), (14), (15), (18), (20), (32), (34) are
% 177.62/27.94 | | | inconsistent by sub-proof #439.
% 177.62/27.94 | | |
% 177.62/27.94 | | End of split
% 177.62/27.94 | |
% 177.62/27.94 | Case 2:
% 177.62/27.94 | |
% 177.62/27.94 | | (35) all_58_2 = e2
% 177.62/27.94 | |
% 177.62/27.94 | | COMBINE_EQS: (13), (35) imply:
% 177.62/27.94 | | (36) all_52_2 = e2
% 177.62/27.94 | |
% 177.62/27.94 | | REDUCE: (11), (36) imply:
% 177.62/27.94 | | (37) $false
% 177.62/27.94 | |
% 177.62/27.94 | | CLOSE: (37) is inconsistent.
% 177.62/27.94 | |
% 177.62/27.94 | End of split
% 177.62/27.94 |
% 177.62/27.94 End of proof
% 177.62/27.94
% 177.62/27.94 Sub-proof #350 shows that the following formulas are inconsistent:
% 177.62/27.94 ----------------------------------------------------------------
% 177.62/27.94 (1) ~ (all_61_11 = all_61_12)
% 177.62/27.94 (2) all_63_3 = all_61_12
% 177.62/27.94 (3) all_63_14 = all_61_11
% 177.62/27.94 (4) ~ (all_61_12 = e3)
% 177.62/27.94 (5) all_63_3 = e3 | all_63_3 = e2 | all_63_3 = e1 | all_63_3 = e0
% 177.62/27.94 (6) all_63_14 = e1 | all_63_14 = e0
% 177.62/27.94 (7) ~ (all_61_12 = e1)
% 177.62/27.94 (8) ~ (all_61_12 = e2)
% 177.62/27.94 (9) ~ (all_61_11 = e1)
% 177.62/27.94
% 177.62/27.94 Begin of proof
% 177.62/27.94 |
% 177.62/27.94 | BETA: splitting (5) gives:
% 177.62/27.94 |
% 177.62/27.94 | Case 1:
% 177.62/27.94 | |
% 177.62/27.94 | | (10) all_63_3 = e3
% 177.62/27.94 | |
% 177.62/27.94 | | COMBINE_EQS: (2), (10) imply:
% 177.62/27.94 | | (11) all_61_12 = e3
% 177.62/27.94 | |
% 177.62/27.94 | | REDUCE: (4), (11) imply:
% 177.62/27.94 | | (12) $false
% 177.62/27.94 | |
% 177.62/27.94 | | CLOSE: (12) is inconsistent.
% 177.62/27.94 | |
% 177.62/27.94 | Case 2:
% 177.62/27.94 | |
% 177.62/27.94 | | (13) all_63_3 = e2 | all_63_3 = e1 | all_63_3 = e0
% 177.62/27.94 | |
% 177.62/27.94 | | BETA: splitting (6) gives:
% 177.62/27.94 | |
% 177.62/27.94 | | Case 1:
% 177.62/27.94 | | |
% 177.62/27.94 | | | (14) all_63_14 = e1
% 177.62/27.94 | | |
% 177.62/27.94 | | | COMBINE_EQS: (3), (14) imply:
% 177.62/27.94 | | | (15) all_61_11 = e1
% 177.62/27.94 | | |
% 177.62/27.94 | | | REDUCE: (9), (15) imply:
% 177.62/27.94 | | | (16) $false
% 177.62/27.94 | | |
% 177.62/27.94 | | | CLOSE: (16) is inconsistent.
% 177.62/27.94 | | |
% 177.62/27.94 | | Case 2:
% 177.62/27.94 | | |
% 177.62/27.94 | | | (17) all_63_14 = e0
% 177.62/27.94 | | |
% 177.62/27.94 | | | COMBINE_EQS: (3), (17) imply:
% 177.62/27.94 | | | (18) all_61_11 = e0
% 177.62/27.94 | | |
% 177.62/27.94 | | | REDUCE: (1), (18) imply:
% 177.62/27.94 | | | (19) ~ (all_61_12 = e0)
% 177.62/27.94 | | |
% 177.62/27.94 | | | SIMP: (19) implies:
% 177.62/27.94 | | | (20) ~ (all_61_12 = e0)
% 177.62/27.94 | | |
% 177.62/27.94 | | | REF_CLOSE: (2), (7), (8), (13), (20) are inconsistent by sub-proof #489.
% 177.62/27.94 | | |
% 177.62/27.94 | | End of split
% 177.62/27.94 | |
% 177.62/27.94 | End of split
% 177.62/27.94 |
% 177.62/27.94 End of proof
% 177.62/27.94
% 177.62/27.94 Sub-proof #351 shows that the following formulas are inconsistent:
% 177.62/27.94 ----------------------------------------------------------------
% 177.62/27.94 (1) op(all_22_1, e2) = e0
% 177.62/27.94 (2) ~ (all_52_1 = all_52_3)
% 177.62/27.94 (3) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 177.62/27.94 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 177.62/27.94 (4) all_58_1 = e0
% 177.62/27.94 (5) all_58_3 = all_52_3
% 177.62/27.94 (6) op(e2, all_52_1) = unit
% 177.62/27.94 (7) all_58_1 = all_52_1
% 177.62/27.94 (8) op(e2, e0) = all_22_1
% 177.62/27.94 (9) all_58_3 = e2
% 177.62/27.94 (10) op(unit, e2) = e2
% 177.62/27.94
% 177.62/27.94 Begin of proof
% 177.62/27.94 |
% 177.62/27.94 | COMBINE_EQS: (4), (7) imply:
% 177.62/27.94 | (11) all_52_1 = e0
% 177.62/27.94 |
% 177.62/27.94 | SIMP: (11) implies:
% 177.62/27.94 | (12) all_52_1 = e0
% 177.62/27.94 |
% 177.62/27.94 | COMBINE_EQS: (5), (9) imply:
% 177.62/27.94 | (13) all_52_3 = e2
% 177.62/27.94 |
% 177.62/27.94 | SIMP: (13) implies:
% 177.62/27.94 | (14) all_52_3 = e2
% 177.62/27.94 |
% 177.62/27.94 | REF_CLOSE: (1), (2), (3), (6), (8), (10), (12), (14) are inconsistent by
% 177.62/27.94 | sub-proof #406.
% 177.62/27.94 |
% 177.62/27.94 End of proof
% 177.62/27.94
% 177.62/27.94 Sub-proof #352 shows that the following formulas are inconsistent:
% 177.62/27.94 ----------------------------------------------------------------
% 177.62/27.94 (1) all_63_4 = all_14_1
% 177.62/27.94 (2) ~ (all_22_1 = all_14_1)
% 177.62/27.94 (3) ~ (all_14_1 = e2)
% 177.62/27.94 (4) all_63_4 = e3 | all_63_4 = e2 | all_63_4 = e1 | all_63_4 = e0
% 177.62/27.94 (5) all_63_13 = e2 | all_63_13 = e1 | all_63_13 = e0
% 177.62/27.94 (6) ~ (all_14_1 = e0)
% 177.62/27.94 (7) ~ (all_22_1 = e0)
% 177.62/27.94 (8) all_63_13 = all_22_1
% 177.62/27.94 (9) ~ (all_22_1 = e2)
% 177.62/27.94 (10) ~ (all_14_1 = e3)
% 177.62/27.94
% 177.62/27.94 Begin of proof
% 177.62/27.94 |
% 177.62/27.94 | BETA: splitting (5) gives:
% 177.62/27.94 |
% 177.62/27.94 | Case 1:
% 177.62/27.94 | |
% 177.62/27.94 | | (11) all_63_13 = e2
% 177.62/27.94 | |
% 177.62/27.94 | | COMBINE_EQS: (8), (11) imply:
% 177.62/27.94 | | (12) all_22_1 = e2
% 177.62/27.94 | |
% 177.62/27.94 | | REDUCE: (9), (12) imply:
% 177.62/27.94 | | (13) $false
% 177.62/27.94 | |
% 177.62/27.94 | | CLOSE: (13) is inconsistent.
% 177.62/27.94 | |
% 177.62/27.94 | Case 2:
% 177.62/27.94 | |
% 177.62/27.94 | | (14) all_63_13 = e1 | all_63_13 = e0
% 177.62/27.94 | |
% 177.62/27.94 | | BETA: splitting (14) gives:
% 177.62/27.94 | |
% 177.62/27.94 | | Case 1:
% 177.62/27.94 | | |
% 177.62/27.94 | | | (15) all_63_13 = e1
% 177.62/27.94 | | |
% 177.62/27.94 | | | COMBINE_EQS: (8), (15) imply:
% 177.62/27.94 | | | (16) all_22_1 = e1
% 177.62/27.94 | | |
% 177.62/27.94 | | | REDUCE: (2), (16) imply:
% 177.62/27.94 | | | (17) ~ (all_14_1 = e1)
% 177.62/27.94 | | |
% 177.62/27.94 | | | SIMP: (17) implies:
% 177.62/27.94 | | | (18) ~ (all_14_1 = e1)
% 177.62/27.94 | | |
% 177.62/27.94 | | | REF_CLOSE: (1), (3), (4), (6), (10), (18) are inconsistent by sub-proof
% 177.62/27.94 | | | #353.
% 177.62/27.94 | | |
% 177.62/27.94 | | Case 2:
% 177.62/27.94 | | |
% 177.62/27.94 | | | (19) all_63_13 = e0
% 177.62/27.94 | | |
% 177.62/27.94 | | | COMBINE_EQS: (8), (19) imply:
% 177.62/27.94 | | | (20) all_22_1 = e0
% 177.62/27.94 | | |
% 177.62/27.94 | | | REDUCE: (7), (20) imply:
% 177.62/27.94 | | | (21) $false
% 177.62/27.94 | | |
% 177.62/27.94 | | | CLOSE: (21) is inconsistent.
% 177.62/27.94 | | |
% 177.62/27.94 | | End of split
% 177.62/27.94 | |
% 177.62/27.94 | End of split
% 177.62/27.94 |
% 177.62/27.94 End of proof
% 177.62/27.94
% 177.62/27.94 Sub-proof #353 shows that the following formulas are inconsistent:
% 177.62/27.94 ----------------------------------------------------------------
% 177.62/27.94 (1) all_63_4 = all_14_1
% 177.62/27.94 (2) ~ (all_14_1 = e1)
% 177.62/27.94 (3) ~ (all_14_1 = e2)
% 177.62/27.94 (4) all_63_4 = e3 | all_63_4 = e2 | all_63_4 = e1 | all_63_4 = e0
% 177.62/27.94 (5) ~ (all_14_1 = e0)
% 177.62/27.94 (6) ~ (all_14_1 = e3)
% 177.62/27.94
% 177.62/27.94 Begin of proof
% 177.62/27.94 |
% 177.62/27.94 | BETA: splitting (4) gives:
% 177.62/27.94 |
% 177.62/27.94 | Case 1:
% 177.62/27.94 | |
% 177.62/27.94 | | (7) all_63_4 = e3
% 177.62/27.94 | |
% 177.62/27.94 | | COMBINE_EQS: (1), (7) imply:
% 177.62/27.94 | | (8) all_14_1 = e3
% 177.62/27.94 | |
% 177.62/27.94 | | REDUCE: (6), (8) imply:
% 177.62/27.94 | | (9) $false
% 177.62/27.94 | |
% 177.62/27.94 | | CLOSE: (9) is inconsistent.
% 177.62/27.94 | |
% 177.62/27.94 | Case 2:
% 177.62/27.94 | |
% 177.62/27.94 | | (10) all_63_4 = e2 | all_63_4 = e1 | all_63_4 = e0
% 177.62/27.94 | |
% 177.62/27.94 | | REF_CLOSE: (1), (2), (3), (5), (10) are inconsistent by sub-proof #354.
% 177.62/27.94 | |
% 177.62/27.94 | End of split
% 177.62/27.94 |
% 177.62/27.94 End of proof
% 177.62/27.94
% 177.62/27.94 Sub-proof #354 shows that the following formulas are inconsistent:
% 177.62/27.94 ----------------------------------------------------------------
% 177.62/27.94 (1) all_63_4 = all_14_1
% 177.62/27.94 (2) ~ (all_14_1 = e1)
% 177.62/27.94 (3) ~ (all_14_1 = e2)
% 177.62/27.94 (4) ~ (all_14_1 = e0)
% 177.62/27.94 (5) all_63_4 = e2 | all_63_4 = e1 | all_63_4 = e0
% 177.62/27.94
% 177.62/27.94 Begin of proof
% 177.62/27.94 |
% 177.62/27.94 | BETA: splitting (5) gives:
% 177.62/27.94 |
% 177.62/27.94 | Case 1:
% 177.62/27.94 | |
% 177.62/27.94 | | (6) all_63_4 = e2
% 177.62/27.94 | |
% 177.62/27.94 | | COMBINE_EQS: (1), (6) imply:
% 177.62/27.94 | | (7) all_14_1 = e2
% 177.62/27.94 | |
% 177.62/27.94 | | REDUCE: (3), (7) imply:
% 177.62/27.94 | | (8) $false
% 177.62/27.94 | |
% 177.62/27.94 | | CLOSE: (8) is inconsistent.
% 177.62/27.94 | |
% 177.62/27.94 | Case 2:
% 177.62/27.94 | |
% 177.62/27.94 | | (9) all_63_4 = e1 | all_63_4 = e0
% 177.62/27.94 | |
% 177.62/27.94 | | REF_CLOSE: (1), (2), (4), (9) are inconsistent by sub-proof #355.
% 177.62/27.94 | |
% 177.62/27.94 | End of split
% 177.62/27.94 |
% 177.62/27.94 End of proof
% 177.62/27.94
% 177.62/27.94 Sub-proof #355 shows that the following formulas are inconsistent:
% 177.62/27.94 ----------------------------------------------------------------
% 177.62/27.94 (1) all_63_4 = e1 | all_63_4 = e0
% 177.62/27.94 (2) all_63_4 = all_14_1
% 177.62/27.94 (3) ~ (all_14_1 = e1)
% 177.62/27.94 (4) ~ (all_14_1 = e0)
% 177.62/27.94
% 177.62/27.94 Begin of proof
% 177.62/27.94 |
% 177.62/27.94 | BETA: splitting (1) gives:
% 177.62/27.94 |
% 177.62/27.94 | Case 1:
% 177.62/27.94 | |
% 177.62/27.94 | | (5) all_63_4 = e1
% 177.62/27.94 | |
% 177.62/27.94 | | COMBINE_EQS: (2), (5) imply:
% 177.62/27.94 | | (6) all_14_1 = e1
% 177.62/27.94 | |
% 177.62/27.94 | | REDUCE: (3), (6) imply:
% 177.62/27.94 | | (7) $false
% 177.62/27.94 | |
% 177.62/27.94 | | CLOSE: (7) is inconsistent.
% 177.62/27.94 | |
% 177.62/27.94 | Case 2:
% 177.62/27.94 | |
% 177.62/27.94 | | (8) all_63_4 = e0
% 177.62/27.94 | |
% 177.62/27.94 | | COMBINE_EQS: (2), (8) imply:
% 177.62/27.94 | | (9) all_14_1 = e0
% 177.62/27.94 | |
% 177.62/27.94 | | REDUCE: (4), (9) imply:
% 177.62/27.94 | | (10) $false
% 177.62/27.94 | |
% 177.62/27.94 | | CLOSE: (10) is inconsistent.
% 177.62/27.94 | |
% 177.62/27.94 | End of split
% 177.62/27.94 |
% 177.62/27.94 End of proof
% 177.62/27.94
% 177.62/27.94 Sub-proof #356 shows that the following formulas are inconsistent:
% 177.62/27.94 ----------------------------------------------------------------
% 177.62/27.94 (1) all_58_0 = all_52_0
% 177.62/27.94 (2) all_58_0 = e2
% 177.62/27.94 (3) ~ (all_52_0 = e2)
% 177.62/27.94
% 177.62/27.94 Begin of proof
% 177.62/27.94 |
% 177.62/27.94 | COMBINE_EQS: (1), (2) imply:
% 177.62/27.94 | (4) all_52_0 = e2
% 177.62/27.94 |
% 177.62/27.94 | SIMP: (4) implies:
% 177.62/27.94 | (5) all_52_0 = e2
% 177.62/27.94 |
% 177.62/27.94 | REDUCE: (3), (5) imply:
% 177.62/27.94 | (6) $false
% 177.62/27.94 |
% 177.62/27.94 | CLOSE: (6) is inconsistent.
% 177.62/27.94 |
% 177.62/27.94 End of proof
% 177.62/27.94
% 177.62/27.94 Sub-proof #357 shows that the following formulas are inconsistent:
% 177.62/27.94 ----------------------------------------------------------------
% 177.62/27.94 (1) all_63_12 = e1 | all_63_12 = e0
% 177.62/27.94 (2) all_63_12 = all_61_12
% 177.62/27.94 (3) ~ (all_61_12 = e1)
% 177.62/27.94 (4) ~ (all_61_12 = e0)
% 177.62/27.94
% 177.62/27.94 Begin of proof
% 177.62/27.94 |
% 177.62/27.94 | BETA: splitting (1) gives:
% 177.62/27.94 |
% 177.62/27.94 | Case 1:
% 177.62/27.94 | |
% 177.62/27.94 | | (5) all_63_12 = e1
% 177.62/27.94 | |
% 177.62/27.94 | | REF_CLOSE: (2), (3), (5) are inconsistent by sub-proof #358.
% 177.62/27.94 | |
% 177.62/27.94 | Case 2:
% 177.62/27.94 | |
% 177.62/27.94 | | (6) all_63_12 = e0
% 177.62/27.94 | |
% 177.62/27.94 | | COMBINE_EQS: (2), (6) imply:
% 177.62/27.94 | | (7) all_61_12 = e0
% 177.62/27.94 | |
% 177.62/27.94 | | SIMP: (7) implies:
% 177.62/27.94 | | (8) all_61_12 = e0
% 177.62/27.94 | |
% 177.62/27.94 | | REDUCE: (4), (8) imply:
% 177.62/27.94 | | (9) $false
% 177.62/27.94 | |
% 177.62/27.94 | | CLOSE: (9) is inconsistent.
% 177.62/27.94 | |
% 177.62/27.94 | End of split
% 177.62/27.94 |
% 177.62/27.94 End of proof
% 177.62/27.94
% 177.62/27.94 Sub-proof #358 shows that the following formulas are inconsistent:
% 177.62/27.94 ----------------------------------------------------------------
% 177.62/27.94 (1) all_63_12 = all_61_12
% 177.62/27.94 (2) all_63_12 = e1
% 177.62/27.94 (3) ~ (all_61_12 = e1)
% 177.62/27.94
% 177.62/27.94 Begin of proof
% 177.62/27.94 |
% 177.62/27.94 | COMBINE_EQS: (1), (2) imply:
% 177.62/27.94 | (4) all_61_12 = e1
% 177.62/27.94 |
% 177.62/27.94 | SIMP: (4) implies:
% 177.62/27.94 | (5) all_61_12 = e1
% 177.62/27.94 |
% 177.62/27.94 | REDUCE: (3), (5) imply:
% 177.62/27.94 | (6) $false
% 177.62/27.94 |
% 177.62/27.94 | CLOSE: (6) is inconsistent.
% 177.62/27.94 |
% 177.62/27.94 End of proof
% 177.62/27.94
% 177.62/27.94 Sub-proof #359 shows that the following formulas are inconsistent:
% 177.62/27.94 ----------------------------------------------------------------
% 177.62/27.94 (1) all_63_4 = all_14_1
% 177.62/27.94 (2) all_63_7 = all_61_13
% 177.62/27.94 (3) ~ (all_61_13 = all_14_1)
% 177.62/27.94 (4) ~ (all_14_1 = e2)
% 177.62/27.94 (5) ~ (all_14_1 = e0)
% 177.62/27.94 (6) all_63_4 = e2 | all_63_4 = e1 | all_63_4 = e0
% 177.62/27.94 (7) all_63_7 = e1 | all_63_7 = e0
% 177.62/27.94 (8) ~ (all_61_13 = e0)
% 177.62/27.94
% 177.62/27.94 Begin of proof
% 177.62/27.94 |
% 177.62/27.94 | BETA: splitting (6) gives:
% 177.62/27.94 |
% 177.62/27.94 | Case 1:
% 177.62/27.94 | |
% 177.62/27.94 | | (9) all_63_4 = e2
% 177.62/27.94 | |
% 177.62/27.94 | | COMBINE_EQS: (1), (9) imply:
% 177.62/27.94 | | (10) all_14_1 = e2
% 177.62/27.94 | |
% 177.62/27.94 | | REDUCE: (4), (10) imply:
% 177.62/27.94 | | (11) $false
% 177.62/27.94 | |
% 177.62/27.94 | | CLOSE: (11) is inconsistent.
% 177.62/27.94 | |
% 177.62/27.94 | Case 2:
% 177.62/27.94 | |
% 177.62/27.94 | | (12) all_63_4 = e1 | all_63_4 = e0
% 177.62/27.94 | |
% 177.62/27.94 | | BETA: splitting (12) gives:
% 177.62/27.94 | |
% 177.62/27.94 | | Case 1:
% 177.62/27.94 | | |
% 177.62/27.94 | | | (13) all_63_4 = e1
% 177.62/27.94 | | |
% 177.62/27.94 | | | COMBINE_EQS: (1), (13) imply:
% 177.62/27.94 | | | (14) all_14_1 = e1
% 177.62/27.94 | | |
% 177.62/27.94 | | | REDUCE: (3), (14) imply:
% 177.62/27.94 | | | (15) ~ (all_61_13 = e1)
% 177.62/27.94 | | |
% 177.62/27.94 | | | REF_CLOSE: (2), (7), (8), (15) are inconsistent by sub-proof #475.
% 177.62/27.94 | | |
% 177.62/27.94 | | Case 2:
% 177.62/27.94 | | |
% 177.62/27.94 | | | (16) all_63_4 = e0
% 177.62/27.94 | | |
% 177.62/27.94 | | | COMBINE_EQS: (1), (16) imply:
% 177.62/27.94 | | | (17) all_14_1 = e0
% 177.62/27.94 | | |
% 177.62/27.94 | | | REDUCE: (5), (17) imply:
% 177.62/27.94 | | | (18) $false
% 177.62/27.94 | | |
% 177.62/27.94 | | | CLOSE: (18) is inconsistent.
% 177.62/27.94 | | |
% 177.62/27.94 | | End of split
% 177.62/27.94 | |
% 177.62/27.94 | End of split
% 177.62/27.94 |
% 177.62/27.94 End of proof
% 177.62/27.94
% 177.62/27.94 Sub-proof #360 shows that the following formulas are inconsistent:
% 177.62/27.94 ----------------------------------------------------------------
% 177.62/27.94 (1) e2 = e0
% 177.62/27.94 (2) e2 = e1
% 177.62/27.94 (3) ~ (e1 = e0)
% 177.62/27.94
% 177.62/27.94 Begin of proof
% 177.62/27.94 |
% 177.62/27.94 | SIMP: (1) implies:
% 177.62/27.94 | (4) e2 = e0
% 177.62/27.94 |
% 177.62/27.94 | COMBINE_EQS: (2), (4) imply:
% 177.62/27.94 | (5) e1 = e0
% 177.62/27.94 |
% 177.62/27.94 | REDUCE: (3), (5) imply:
% 177.62/27.94 | (6) $false
% 177.62/27.94 |
% 177.62/27.94 | CLOSE: (6) is inconsistent.
% 177.62/27.94 |
% 177.62/27.94 End of proof
% 177.62/27.94
% 177.62/27.94 Sub-proof #361 shows that the following formulas are inconsistent:
% 177.62/27.94 ----------------------------------------------------------------
% 177.62/27.94 (1) all_63_3 = all_61_12
% 177.62/27.94 (2) all_63_3 = e3
% 177.62/27.94 (3) ~ (all_61_12 = e3)
% 177.62/27.94
% 177.62/27.94 Begin of proof
% 177.62/27.94 |
% 177.62/27.94 | COMBINE_EQS: (1), (2) imply:
% 177.62/27.94 | (4) all_61_12 = e3
% 177.62/27.94 |
% 177.62/27.94 | SIMP: (4) implies:
% 177.62/27.94 | (5) all_61_12 = e3
% 177.62/27.94 |
% 177.62/27.94 | REDUCE: (3), (5) imply:
% 177.62/27.94 | (6) $false
% 177.62/27.94 |
% 177.62/27.94 | CLOSE: (6) is inconsistent.
% 177.62/27.94 |
% 177.62/27.94 End of proof
% 177.62/27.94
% 177.62/27.94 Sub-proof #362 shows that the following formulas are inconsistent:
% 177.62/27.94 ----------------------------------------------------------------
% 177.62/27.94 (1) all_63_1 = all_14_1
% 177.62/27.94 (2) all_63_3 = all_61_12
% 177.62/27.94 (3) ~ (all_14_1 = e2)
% 177.62/27.94 (4) ~ (all_14_1 = e0)
% 177.62/27.94 (5) ~ (all_61_12 = e3)
% 177.62/27.94 (6) ~ (all_61_12 = e0)
% 177.62/27.94 (7) all_63_3 = e3 | all_63_3 = e2 | all_63_3 = e1 | all_63_3 = e0
% 177.62/27.94 (8) ~ (all_61_12 = all_14_1)
% 177.62/27.94 (9) all_63_1 = e3 | all_63_1 = e2 | all_63_1 = e1 | all_63_1 = e0
% 177.62/27.94 (10) ~ (all_14_1 = e3)
% 177.62/27.94 (11) ~ (all_61_12 = e2)
% 177.62/27.94
% 177.62/27.94 Begin of proof
% 177.62/27.94 |
% 177.62/27.94 | BETA: splitting (7) gives:
% 177.62/27.94 |
% 177.62/27.94 | Case 1:
% 177.62/27.94 | |
% 177.62/27.94 | | (12) all_63_3 = e3
% 177.62/27.94 | |
% 177.62/27.94 | | COMBINE_EQS: (2), (12) imply:
% 177.62/27.94 | | (13) all_61_12 = e3
% 177.62/27.94 | |
% 177.62/27.94 | | REDUCE: (5), (13) imply:
% 177.62/27.94 | | (14) $false
% 177.62/27.94 | |
% 177.62/27.94 | | CLOSE: (14) is inconsistent.
% 177.62/27.94 | |
% 177.62/27.94 | Case 2:
% 177.62/27.94 | |
% 177.62/27.94 | | (15) all_63_3 = e2 | all_63_3 = e1 | all_63_3 = e0
% 177.62/27.94 | |
% 177.62/27.94 | | BETA: splitting (9) gives:
% 177.62/27.94 | |
% 177.62/27.94 | | Case 1:
% 177.62/27.94 | | |
% 177.62/27.94 | | | (16) all_63_1 = e3
% 177.62/27.94 | | |
% 177.62/27.94 | | | COMBINE_EQS: (1), (16) imply:
% 177.62/27.94 | | | (17) all_14_1 = e3
% 177.62/27.94 | | |
% 177.62/27.94 | | | REDUCE: (10), (17) imply:
% 177.62/27.94 | | | (18) $false
% 177.62/27.94 | | |
% 177.62/27.94 | | | CLOSE: (18) is inconsistent.
% 177.62/27.94 | | |
% 177.62/27.94 | | Case 2:
% 177.62/27.94 | | |
% 177.62/27.94 | | | (19) all_63_1 = e2 | all_63_1 = e1 | all_63_1 = e0
% 177.62/27.94 | | |
% 177.62/27.94 | | | BETA: splitting (19) gives:
% 177.62/27.94 | | |
% 177.62/27.94 | | | Case 1:
% 177.62/27.94 | | | |
% 177.62/27.94 | | | | (20) all_63_1 = e2
% 177.62/27.94 | | | |
% 177.62/27.94 | | | | COMBINE_EQS: (1), (20) imply:
% 177.62/27.94 | | | | (21) all_14_1 = e2
% 177.62/27.94 | | | |
% 177.62/27.94 | | | | REDUCE: (3), (21) imply:
% 177.62/27.94 | | | | (22) $false
% 177.62/27.94 | | | |
% 177.62/27.94 | | | | CLOSE: (22) is inconsistent.
% 177.62/27.94 | | | |
% 177.62/27.94 | | | Case 2:
% 177.62/27.94 | | | |
% 177.62/27.94 | | | | (23) all_63_1 = e1 | all_63_1 = e0
% 177.62/27.94 | | | |
% 177.62/27.94 | | | | BETA: splitting (15) gives:
% 177.62/27.94 | | | |
% 177.62/27.94 | | | | Case 1:
% 177.62/27.94 | | | | |
% 177.62/27.94 | | | | | (24) all_63_3 = e2
% 177.62/27.94 | | | | |
% 177.62/27.94 | | | | | COMBINE_EQS: (2), (24) imply:
% 177.62/27.94 | | | | | (25) all_61_12 = e2
% 177.62/27.94 | | | | |
% 177.62/27.94 | | | | | REDUCE: (11), (25) imply:
% 177.62/27.94 | | | | | (26) $false
% 177.62/27.94 | | | | |
% 177.62/27.94 | | | | | CLOSE: (26) is inconsistent.
% 177.62/27.94 | | | | |
% 177.62/27.94 | | | | Case 2:
% 177.62/27.94 | | | | |
% 177.62/27.94 | | | | | (27) all_63_3 = e1 | all_63_3 = e0
% 177.62/27.94 | | | | |
% 177.62/27.94 | | | | | BETA: splitting (23) gives:
% 177.62/27.94 | | | | |
% 177.62/27.94 | | | | | Case 1:
% 177.62/27.94 | | | | | |
% 177.62/27.94 | | | | | | (28) all_63_1 = e1
% 177.62/27.94 | | | | | |
% 177.62/27.94 | | | | | | COMBINE_EQS: (1), (28) imply:
% 177.62/27.94 | | | | | | (29) all_14_1 = e1
% 177.62/27.94 | | | | | |
% 177.62/27.94 | | | | | | REDUCE: (8), (29) imply:
% 177.62/27.94 | | | | | | (30) ~ (all_61_12 = e1)
% 177.62/27.94 | | | | | |
% 177.62/27.94 | | | | | | REF_CLOSE: (2), (6), (27), (30) are inconsistent by sub-proof #490.
% 177.62/27.94 | | | | | |
% 177.62/27.94 | | | | | Case 2:
% 177.62/27.94 | | | | | |
% 177.62/27.94 | | | | | | (31) all_63_1 = e0
% 177.62/27.94 | | | | | |
% 177.62/27.94 | | | | | | COMBINE_EQS: (1), (31) imply:
% 177.62/27.94 | | | | | | (32) all_14_1 = e0
% 177.62/27.94 | | | | | |
% 177.62/27.94 | | | | | | REDUCE: (4), (32) imply:
% 177.62/27.94 | | | | | | (33) $false
% 177.62/27.94 | | | | | |
% 177.62/27.94 | | | | | | CLOSE: (33) is inconsistent.
% 177.62/27.94 | | | | | |
% 177.62/27.94 | | | | | End of split
% 177.62/27.94 | | | | |
% 177.62/27.94 | | | | End of split
% 177.62/27.94 | | | |
% 177.62/27.94 | | | End of split
% 177.62/27.94 | | |
% 177.62/27.94 | | End of split
% 177.62/27.94 | |
% 177.62/27.94 | End of split
% 177.62/27.94 |
% 177.62/27.94 End of proof
% 177.62/27.94
% 177.62/27.94 Sub-proof #363 shows that the following formulas are inconsistent:
% 177.62/27.94 ----------------------------------------------------------------
% 177.62/27.94 (1) ~ (all_52_0 = all_52_1)
% 177.62/27.94 (2) ~ (all_58_1 = e3) | all_58_0 = e2
% 177.62/27.94 (3) op(e3, all_52_0) = unit
% 177.62/27.94 (4) all_58_0 = all_52_0
% 177.62/27.94 (5) all_56_1 = e3 | all_56_1 = e2 | all_56_1 = e1 | all_56_1 = e0
% 177.62/27.94 (6) op(all_61_7, e2) = all_61_7
% 177.62/27.94 (7) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 177.62/27.94 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 177.62/27.94 (8) ~ (all_61_13 = e2)
% 177.62/27.94 (9) ~ (all_58_3 = e2) | all_58_1 = e0
% 177.62/27.94 (10) op(e0, e2) = all_61_7
% 177.62/27.94 (11) op(unit, e1) = e1
% 177.62/27.94 (12) op(unit, e3) = e3
% 177.62/27.94 (13) all_56_1 = all_52_1
% 177.62/27.94 (14) all_58_3 = all_52_3
% 177.62/27.94 (15) ~ (all_52_2 = e2)
% 177.62/27.94 (16) op(e2, all_52_1) = unit
% 177.62/27.94 (17) all_58_2 = all_52_2
% 177.62/27.94 (18) ~ (all_58_1 = e0) | all_58_3 = e2
% 177.62/27.94 (19) op(e2, e0) = all_61_13
% 177.62/27.94 (20) all_58_1 = all_52_1
% 177.62/27.94 (21) op(e3, e2) = all_14_1
% 177.62/27.94 (22) ~ (all_61_9 = e1)
% 177.62/27.94 (23) op(e2, e1) = all_61_9
% 177.62/27.94 (24) op(all_14_1, e3) = e2
% 177.62/27.94 (25) ~ (all_58_1 = e1) | all_58_2 = e2
% 177.62/27.94 (26) op(all_61_13, e2) = all_65_29
% 177.62/27.94 (27) op(e0, all_52_3) = unit
% 177.62/27.94 (28) op(e2, e2) = e2
% 177.62/27.94 (29) op(unit, e2) = e2
% 177.62/27.94
% 177.62/27.94 Begin of proof
% 177.62/27.94 |
% 177.62/27.94 | BETA: splitting (25) gives:
% 177.62/27.94 |
% 177.62/27.94 | Case 1:
% 177.62/27.94 | |
% 177.62/27.94 | | (30) ~ (all_58_1 = e1)
% 177.62/27.94 | |
% 177.62/27.94 | | REDUCE: (20), (30) imply:
% 177.62/27.94 | | (31) ~ (all_52_1 = e1)
% 177.62/27.94 | |
% 177.62/27.94 | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12),
% 177.62/27.94 | | (13), (14), (16), (18), (19), (20), (21), (22), (23), (24), (26),
% 177.62/27.94 | | (27), (28), (29), (31) are inconsistent by sub-proof #364.
% 177.62/27.94 | |
% 177.62/27.94 | Case 2:
% 177.62/27.94 | |
% 177.62/27.94 | | (32) all_58_2 = e2
% 177.62/27.94 | |
% 177.62/27.94 | | COMBINE_EQS: (17), (32) imply:
% 177.62/27.94 | | (33) all_52_2 = e2
% 177.62/27.94 | |
% 177.62/27.94 | | REDUCE: (15), (33) imply:
% 177.62/27.94 | | (34) $false
% 177.62/27.94 | |
% 177.62/27.94 | | CLOSE: (34) is inconsistent.
% 177.62/27.94 | |
% 177.62/27.94 | End of split
% 177.62/27.94 |
% 177.62/27.94 End of proof
% 177.62/27.94
% 177.62/27.94 Sub-proof #364 shows that the following formulas are inconsistent:
% 177.62/27.94 ----------------------------------------------------------------
% 177.62/27.94 (1) ~ (all_52_0 = all_52_1)
% 177.62/27.94 (2) ~ (all_58_1 = e3) | all_58_0 = e2
% 177.62/27.94 (3) op(e3, all_52_0) = unit
% 177.62/27.94 (4) all_58_0 = all_52_0
% 177.62/27.94 (5) all_56_1 = e3 | all_56_1 = e2 | all_56_1 = e1 | all_56_1 = e0
% 177.62/27.94 (6) op(all_61_7, e2) = all_61_7
% 177.62/27.94 (7) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 177.62/27.94 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 177.62/27.94 (8) ~ (all_61_13 = e2)
% 177.62/27.94 (9) ~ (all_58_3 = e2) | all_58_1 = e0
% 177.62/27.94 (10) op(e0, e2) = all_61_7
% 177.62/27.94 (11) op(unit, e1) = e1
% 177.62/27.94 (12) op(unit, e3) = e3
% 177.62/27.94 (13) all_56_1 = all_52_1
% 177.62/27.94 (14) all_58_3 = all_52_3
% 177.62/27.94 (15) op(e2, all_52_1) = unit
% 177.62/27.94 (16) ~ (all_58_1 = e0) | all_58_3 = e2
% 177.62/27.94 (17) op(e2, e0) = all_61_13
% 177.62/27.94 (18) all_58_1 = all_52_1
% 177.62/27.94 (19) op(e3, e2) = all_14_1
% 177.62/27.94 (20) ~ (all_52_1 = e1)
% 177.62/27.94 (21) ~ (all_61_9 = e1)
% 177.62/27.94 (22) op(e2, e1) = all_61_9
% 177.62/27.94 (23) op(all_14_1, e3) = e2
% 177.62/27.94 (24) op(all_61_13, e2) = all_65_29
% 177.62/27.94 (25) op(e0, all_52_3) = unit
% 177.62/27.94 (26) op(e2, e2) = e2
% 177.62/27.94 (27) op(unit, e2) = e2
% 177.62/27.94
% 177.62/27.94 Begin of proof
% 177.62/27.94 |
% 177.62/27.94 | BETA: splitting (2) gives:
% 177.62/27.94 |
% 177.62/27.94 | Case 1:
% 177.62/27.94 | |
% 177.62/27.94 | | (28) ~ (all_58_1 = e3)
% 177.62/27.94 | |
% 177.62/27.94 | | REDUCE: (18), (28) imply:
% 177.62/27.94 | | (29) ~ (all_52_1 = e3)
% 177.62/27.94 | |
% 177.62/27.94 | | REF_CLOSE: (5), (6), (7), (8), (9), (10), (11), (13), (14), (15), (16),
% 177.62/27.94 | | (17), (18), (20), (21), (22), (24), (25), (26), (27), (29) are
% 177.62/27.94 | | inconsistent by sub-proof #434.
% 177.62/27.94 | |
% 177.62/27.94 | Case 2:
% 177.62/27.94 | |
% 177.62/27.94 | | (30) all_58_1 = e3
% 177.62/27.94 | | (31) all_58_0 = e2
% 177.62/27.94 | |
% 177.62/27.94 | | REF_CLOSE: (1), (3), (4), (7), (12), (18), (19), (23), (30), (31) are
% 177.62/27.94 | | inconsistent by sub-proof #365.
% 177.62/27.94 | |
% 177.62/27.94 | End of split
% 177.62/27.94 |
% 177.62/27.94 End of proof
% 177.62/27.94
% 177.62/27.94 Sub-proof #365 shows that the following formulas are inconsistent:
% 177.62/27.94 ----------------------------------------------------------------
% 177.62/27.94 (1) ~ (all_52_0 = all_52_1)
% 177.62/27.94 (2) op(e3, all_52_0) = unit
% 177.62/27.94 (3) all_58_0 = all_52_0
% 177.62/27.94 (4) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 177.62/27.94 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 177.62/27.94 (5) all_58_0 = e2
% 177.62/27.94 (6) op(unit, e3) = e3
% 177.62/27.94 (7) all_58_1 = all_52_1
% 177.62/27.94 (8) all_58_1 = e3
% 177.62/27.94 (9) op(e3, e2) = all_14_1
% 177.62/27.94 (10) op(all_14_1, e3) = e2
% 177.62/27.94
% 177.62/27.94 Begin of proof
% 177.62/27.94 |
% 177.62/27.94 | COMBINE_EQS: (3), (5) imply:
% 177.62/27.94 | (11) all_52_0 = e2
% 177.62/27.94 |
% 177.62/27.94 | SIMP: (11) implies:
% 177.62/27.94 | (12) all_52_0 = e2
% 177.62/27.94 |
% 177.62/27.94 | COMBINE_EQS: (7), (8) imply:
% 177.62/27.94 | (13) all_52_1 = e3
% 177.62/27.94 |
% 177.62/27.94 | SIMP: (13) implies:
% 177.62/27.94 | (14) all_52_1 = e3
% 177.62/27.94 |
% 177.62/27.94 | REDUCE: (1), (12), (14) imply:
% 177.62/27.94 | (15) ~ (e3 = e2)
% 177.62/27.94 |
% 177.62/27.94 | SIMP: (15) implies:
% 177.62/27.94 | (16) ~ (e3 = e2)
% 177.62/27.94 |
% 177.62/27.94 | REDUCE: (2), (12) imply:
% 177.62/27.94 | (17) op(e3, e2) = unit
% 177.62/27.94 |
% 177.62/27.94 | REF_CLOSE: (4), (6), (9), (10), (16), (17) are inconsistent by sub-proof #366.
% 177.62/27.94 |
% 177.62/27.94 End of proof
% 177.62/27.94
% 177.62/27.94 Sub-proof #366 shows that the following formulas are inconsistent:
% 177.62/27.94 ----------------------------------------------------------------
% 177.62/27.94 (1) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 177.62/27.94 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 177.62/27.94 (2) op(unit, e3) = e3
% 177.62/27.94 (3) ~ (e3 = e2)
% 177.62/27.94 (4) op(e3, e2) = unit
% 177.62/27.94 (5) op(e3, e2) = all_14_1
% 177.62/27.94 (6) op(all_14_1, e3) = e2
% 177.62/27.94
% 177.62/27.94 Begin of proof
% 177.62/27.94 |
% 177.62/27.94 | GROUND_INST: instantiating (1) with all_14_1, unit, e2, e3, simplifying with
% 177.62/27.94 | (4), (5) gives:
% 177.62/27.94 | (7) all_14_1 = unit
% 177.62/27.94 |
% 177.62/27.94 | REDUCE: (6), (7) imply:
% 177.62/27.94 | (8) op(unit, e3) = e2
% 177.62/27.94 |
% 177.62/27.94 | GROUND_INST: instantiating (1) with e3, e2, e3, unit, simplifying with (2),
% 177.62/27.94 | (8) gives:
% 177.62/27.94 | (9) e3 = e2
% 177.62/27.94 |
% 177.62/27.94 | REDUCE: (3), (9) imply:
% 177.62/27.94 | (10) $false
% 177.62/27.94 |
% 177.62/27.94 | CLOSE: (10) is inconsistent.
% 177.62/27.94 |
% 177.62/27.94 End of proof
% 177.62/27.94
% 177.62/27.94 Sub-proof #367 shows that the following formulas are inconsistent:
% 177.62/27.94 ----------------------------------------------------------------
% 177.62/27.94 (1) all_63_9 = e1 | all_63_9 = e0
% 177.62/27.94 (2) all_63_9 = all_61_6
% 177.62/27.94 (3) ~ (all_61_6 = e1)
% 177.62/27.94 (4) ~ (all_61_6 = e0)
% 177.62/27.94
% 177.62/27.94 Begin of proof
% 177.62/27.94 |
% 177.62/27.94 | BETA: splitting (1) gives:
% 177.62/27.94 |
% 177.62/27.94 | Case 1:
% 177.62/27.94 | |
% 177.62/27.94 | | (5) all_63_9 = e1
% 177.62/27.94 | |
% 177.62/27.94 | | COMBINE_EQS: (2), (5) imply:
% 177.62/27.94 | | (6) all_61_6 = e1
% 177.62/27.94 | |
% 177.62/27.94 | | REDUCE: (3), (6) imply:
% 177.62/27.94 | | (7) $false
% 177.62/27.94 | |
% 177.62/27.94 | | CLOSE: (7) is inconsistent.
% 177.62/27.94 | |
% 177.62/27.94 | Case 2:
% 177.62/27.94 | |
% 177.62/27.94 | | (8) all_63_9 = e0
% 177.62/27.94 | |
% 177.62/27.94 | | COMBINE_EQS: (2), (8) imply:
% 177.62/27.94 | | (9) all_61_6 = e0
% 177.62/27.94 | |
% 177.62/27.94 | | REDUCE: (4), (9) imply:
% 177.62/27.94 | | (10) $false
% 177.62/27.94 | |
% 177.62/27.94 | | CLOSE: (10) is inconsistent.
% 177.62/27.94 | |
% 177.62/27.94 | End of split
% 177.62/27.94 |
% 177.62/27.94 End of proof
% 177.62/27.94
% 177.62/27.94 Sub-proof #368 shows that the following formulas are inconsistent:
% 177.62/27.94 ----------------------------------------------------------------
% 177.62/27.94 (1) all_63_3 = all_36_1
% 177.62/27.94 (2) all_63_3 = e0
% 177.62/27.94 (3) ~ (all_36_1 = e0)
% 177.62/27.94
% 177.62/27.94 Begin of proof
% 177.62/27.94 |
% 177.62/27.94 | COMBINE_EQS: (1), (2) imply:
% 177.62/27.94 | (4) all_36_1 = e0
% 177.62/27.94 |
% 177.62/27.94 | SIMP: (4) implies:
% 177.62/27.94 | (5) all_36_1 = e0
% 177.62/27.94 |
% 177.62/27.94 | REDUCE: (3), (5) imply:
% 177.62/27.94 | (6) $false
% 177.62/27.94 |
% 177.62/27.94 | CLOSE: (6) is inconsistent.
% 177.62/27.94 |
% 177.62/27.94 End of proof
% 177.62/27.94
% 177.62/27.94 Sub-proof #369 shows that the following formulas are inconsistent:
% 177.62/27.94 ----------------------------------------------------------------
% 177.62/27.94 (1) all_63_3 = all_36_1
% 177.62/27.94 (2) all_63_3 = e2
% 177.62/27.94 (3) ~ (all_36_1 = e2)
% 177.62/27.94
% 177.62/27.94 Begin of proof
% 177.62/27.94 |
% 177.62/27.94 | COMBINE_EQS: (1), (2) imply:
% 177.62/27.94 | (4) all_36_1 = e2
% 177.62/27.94 |
% 177.62/27.94 | SIMP: (4) implies:
% 177.62/27.94 | (5) all_36_1 = e2
% 177.62/27.94 |
% 177.62/27.94 | REDUCE: (3), (5) imply:
% 177.62/27.94 | (6) $false
% 177.62/27.94 |
% 177.62/27.94 | CLOSE: (6) is inconsistent.
% 177.62/27.94 |
% 177.62/27.94 End of proof
% 177.62/27.94
% 177.62/27.94 Sub-proof #370 shows that the following formulas are inconsistent:
% 177.62/27.94 ----------------------------------------------------------------
% 177.62/27.94 (1) all_63_3 = all_36_1
% 177.62/27.94 (2) all_63_3 = e3
% 177.62/27.94 (3) ~ (all_36_1 = e3)
% 177.62/27.94
% 177.62/27.94 Begin of proof
% 177.62/27.94 |
% 177.62/27.94 | COMBINE_EQS: (1), (2) imply:
% 177.62/27.94 | (4) all_36_1 = e3
% 177.62/27.94 |
% 177.62/27.94 | SIMP: (4) implies:
% 177.62/27.94 | (5) all_36_1 = e3
% 177.62/27.94 |
% 177.62/27.94 | REDUCE: (3), (5) imply:
% 177.62/27.94 | (6) $false
% 177.62/27.94 |
% 177.62/27.94 | CLOSE: (6) is inconsistent.
% 177.62/27.94 |
% 177.62/27.94 End of proof
% 177.62/27.94
% 177.62/27.94 Sub-proof #371 shows that the following formulas are inconsistent:
% 177.62/27.94 ----------------------------------------------------------------
% 177.62/27.94 (1) all_63_12 = all_61_3
% 177.62/27.94 (2) all_63_12 = e2
% 177.62/27.94 (3) ~ (all_61_3 = e2)
% 177.62/27.94
% 177.62/27.94 Begin of proof
% 177.62/27.94 |
% 177.62/27.94 | COMBINE_EQS: (1), (2) imply:
% 177.62/27.94 | (4) all_61_3 = e2
% 177.62/27.94 |
% 177.62/27.94 | SIMP: (4) implies:
% 177.62/27.94 | (5) all_61_3 = e2
% 177.62/27.94 |
% 177.62/27.94 | REDUCE: (3), (5) imply:
% 177.62/27.94 | (6) $false
% 177.62/27.94 |
% 177.62/27.94 | CLOSE: (6) is inconsistent.
% 177.62/27.94 |
% 177.62/27.94 End of proof
% 177.62/27.94
% 177.62/27.94 Sub-proof #372 shows that the following formulas are inconsistent:
% 177.62/27.94 ----------------------------------------------------------------
% 177.62/27.94 (1) ~ (all_52_0 = all_52_1)
% 177.62/27.94 (2) ~ (all_52_1 = all_52_3)
% 177.62/27.94 (3) all_58_0 = all_52_0
% 177.62/27.94 (4) all_56_1 = e3 | all_56_1 = e2 | all_56_1 = e1 | all_56_1 = e0
% 177.62/27.94 (5) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 177.62/27.94 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 177.62/27.94 (6) ~ (all_61_14 = e1)
% 177.62/27.94 (7) op(e2, e2) = e0
% 177.62/27.94 (8) all_58_0 = e0
% 177.62/27.94 (9) all_56_1 = all_52_1
% 177.62/27.94 (10) all_58_3 = all_52_3
% 177.62/27.94 (11) op(e2, all_52_1) = unit
% 177.62/27.94 (12) op(e1, e0) = all_61_14
% 177.62/27.94 (13) all_58_3 = e3
% 177.62/27.94 (14) op(e1, unit) = e1
% 177.62/27.94 (15) ~ (all_52_1 = e1)
% 177.62/27.94
% 177.62/27.94 Begin of proof
% 177.62/27.94 |
% 177.62/27.94 | COMBINE_EQS: (3), (8) imply:
% 177.62/27.94 | (16) all_52_0 = e0
% 177.62/27.94 |
% 177.62/27.94 | SIMP: (16) implies:
% 177.62/27.95 | (17) all_52_0 = e0
% 177.62/27.95 |
% 177.62/27.95 | COMBINE_EQS: (10), (13) imply:
% 177.62/27.95 | (18) all_52_3 = e3
% 177.62/27.95 |
% 177.62/27.95 | REDUCE: (1), (17) imply:
% 177.62/27.95 | (19) ~ (all_52_1 = e0)
% 177.62/27.95 |
% 177.62/27.95 | SIMP: (19) implies:
% 177.62/27.95 | (20) ~ (all_52_1 = e0)
% 177.62/27.95 |
% 177.62/27.95 | REDUCE: (2), (18) imply:
% 177.62/27.95 | (21) ~ (all_52_1 = e3)
% 177.62/27.95 |
% 177.62/27.95 | REF_CLOSE: (4), (5), (6), (7), (9), (11), (12), (14), (15), (20), (21) are
% 177.62/27.95 | inconsistent by sub-proof #373.
% 177.62/27.95 |
% 177.62/27.95 End of proof
% 177.62/27.95
% 177.62/27.95 Sub-proof #373 shows that the following formulas are inconsistent:
% 177.62/27.95 ----------------------------------------------------------------
% 177.62/27.95 (1) all_56_1 = e3 | all_56_1 = e2 | all_56_1 = e1 | all_56_1 = e0
% 177.62/27.95 (2) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 177.62/27.95 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 177.62/27.95 (3) ~ (all_52_1 = e3)
% 177.62/27.95 (4) ~ (all_61_14 = e1)
% 177.62/27.95 (5) op(e2, e2) = e0
% 177.62/27.95 (6) all_56_1 = all_52_1
% 177.62/27.95 (7) op(e2, all_52_1) = unit
% 177.62/27.95 (8) op(e1, e0) = all_61_14
% 177.62/27.95 (9) op(e1, unit) = e1
% 177.62/27.95 (10) ~ (all_52_1 = e1)
% 177.62/27.95 (11) ~ (all_52_1 = e0)
% 177.62/27.95
% 177.62/27.95 Begin of proof
% 177.62/27.95 |
% 177.62/27.95 | BETA: splitting (1) gives:
% 177.62/27.95 |
% 177.62/27.95 | Case 1:
% 177.62/27.95 | |
% 177.62/27.95 | | (12) all_56_1 = e3
% 177.62/27.95 | |
% 177.62/27.95 | | COMBINE_EQS: (6), (12) imply:
% 177.62/27.95 | | (13) all_52_1 = e3
% 177.62/27.95 | |
% 177.62/27.95 | | REDUCE: (3), (13) imply:
% 177.62/27.95 | | (14) $false
% 177.62/27.95 | |
% 177.62/27.95 | | CLOSE: (14) is inconsistent.
% 177.62/27.95 | |
% 177.62/27.95 | Case 2:
% 177.62/27.95 | |
% 177.62/27.95 | | (15) all_56_1 = e2 | all_56_1 = e1 | all_56_1 = e0
% 177.62/27.95 | |
% 177.62/27.95 | | BETA: splitting (15) gives:
% 177.62/27.95 | |
% 177.62/27.95 | | Case 1:
% 177.62/27.95 | | |
% 177.62/27.95 | | | (16) all_56_1 = e2
% 177.62/27.95 | | |
% 177.62/27.95 | | | COMBINE_EQS: (6), (16) imply:
% 177.62/27.95 | | | (17) all_52_1 = e2
% 177.62/27.95 | | |
% 177.62/27.95 | | | REDUCE: (7), (17) imply:
% 177.62/27.95 | | | (18) op(e2, e2) = unit
% 177.62/27.95 | | |
% 177.62/27.95 | | | GROUND_INST: instantiating (2) with e0, unit, e2, e2, simplifying with
% 177.62/27.95 | | | (5), (18) gives:
% 177.62/27.95 | | | (19) unit = e0
% 177.62/27.95 | | |
% 177.62/27.95 | | | REF_CLOSE: (2), (4), (8), (9), (19) are inconsistent by sub-proof #464.
% 177.62/27.95 | | |
% 177.62/27.95 | | Case 2:
% 177.62/27.95 | | |
% 177.62/27.95 | | | (20) all_56_1 = e1 | all_56_1 = e0
% 177.62/27.95 | | |
% 177.62/27.95 | | | REF_CLOSE: (6), (10), (11), (20) are inconsistent by sub-proof #454.
% 177.62/27.95 | | |
% 177.62/27.95 | | End of split
% 177.62/27.95 | |
% 177.62/27.95 | End of split
% 177.62/27.95 |
% 177.62/27.95 End of proof
% 177.62/27.95
% 177.62/27.95 Sub-proof #374 shows that the following formulas are inconsistent:
% 177.62/27.95 ----------------------------------------------------------------
% 177.62/27.95 (1) ~ (all_52_3 = e3)
% 177.62/27.95 (2) ~ (all_52_3 = e2)
% 177.62/27.95 (3) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 177.62/27.95 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 177.62/27.95 (4) op(e2, unit) = e2
% 177.62/27.95 (5) op(e2, e2) = e0
% 177.62/27.95 (6) all_56_3 = e3 | all_56_3 = e2 | all_56_3 = e1 | all_56_3 = e0
% 177.62/27.95 (7) ~ (all_52_3 = e1)
% 177.62/27.95 (8) all_56_3 = all_52_3
% 177.62/27.95 (9) op(e0, e0) = e2
% 177.62/27.95 (10) op(e0, all_52_3) = unit
% 177.62/27.95
% 177.62/27.95 Begin of proof
% 177.62/27.95 |
% 177.62/27.95 | BETA: splitting (6) gives:
% 177.62/27.95 |
% 177.62/27.95 | Case 1:
% 177.62/27.95 | |
% 177.62/27.95 | | (11) all_56_3 = e3
% 177.62/27.95 | |
% 177.62/27.95 | | COMBINE_EQS: (8), (11) imply:
% 177.62/27.95 | | (12) all_52_3 = e3
% 177.62/27.95 | |
% 177.62/27.95 | | REDUCE: (1), (12) imply:
% 177.62/27.95 | | (13) $false
% 177.62/27.95 | |
% 177.62/27.95 | | CLOSE: (13) is inconsistent.
% 177.62/27.95 | |
% 177.62/27.95 | Case 2:
% 177.62/27.95 | |
% 177.62/27.95 | | (14) all_56_3 = e2 | all_56_3 = e1 | all_56_3 = e0
% 177.62/27.95 | |
% 177.62/27.95 | | BETA: splitting (14) gives:
% 177.62/27.95 | |
% 177.62/27.95 | | Case 1:
% 177.62/27.95 | | |
% 177.62/27.95 | | | (15) all_56_3 = e2
% 177.62/27.95 | | |
% 177.62/27.95 | | | COMBINE_EQS: (8), (15) imply:
% 177.62/27.95 | | | (16) all_52_3 = e2
% 177.62/27.95 | | |
% 177.62/27.95 | | | REDUCE: (2), (16) imply:
% 177.62/27.95 | | | (17) $false
% 177.62/27.95 | | |
% 177.62/27.95 | | | CLOSE: (17) is inconsistent.
% 177.62/27.95 | | |
% 177.62/27.95 | | Case 2:
% 177.62/27.95 | | |
% 177.62/27.95 | | | (18) ~ (all_56_3 = e2)
% 177.62/27.95 | | | (19) all_56_3 = e1 | all_56_3 = e0
% 177.62/27.95 | | |
% 177.62/27.95 | | | BETA: splitting (19) gives:
% 177.62/27.95 | | |
% 177.62/27.95 | | | Case 1:
% 177.62/27.95 | | | |
% 177.62/27.95 | | | | (20) all_56_3 = e1
% 177.62/27.95 | | | |
% 177.62/27.95 | | | | COMBINE_EQS: (8), (20) imply:
% 177.62/27.95 | | | | (21) all_52_3 = e1
% 177.62/27.95 | | | |
% 177.62/27.95 | | | | REDUCE: (7), (21) imply:
% 177.62/27.95 | | | | (22) $false
% 177.62/27.95 | | | |
% 177.62/27.95 | | | | CLOSE: (22) is inconsistent.
% 177.62/27.95 | | | |
% 177.62/27.95 | | | Case 2:
% 177.62/27.95 | | | |
% 177.62/27.95 | | | | (23) all_56_3 = e0
% 177.62/27.95 | | | |
% 177.62/27.95 | | | | COMBINE_EQS: (8), (23) imply:
% 177.62/27.95 | | | | (24) all_52_3 = e0
% 177.62/27.95 | | | |
% 177.62/27.95 | | | | REDUCE: (2), (24) imply:
% 177.62/27.95 | | | | (25) ~ (e2 = e0)
% 177.62/27.95 | | | |
% 177.62/27.95 | | | | SIMP: (25) implies:
% 177.62/27.95 | | | | (26) ~ (e2 = e0)
% 177.62/27.95 | | | |
% 177.62/27.95 | | | | REDUCE: (10), (24) imply:
% 177.62/27.95 | | | | (27) op(e0, e0) = unit
% 177.62/27.95 | | | |
% 177.62/27.95 | | | | GROUND_INST: instantiating (3) with e2, unit, e0, e0, simplifying with
% 177.62/27.95 | | | | (9), (27) gives:
% 177.62/27.95 | | | | (28) unit = e2
% 177.62/27.95 | | | |
% 177.62/27.95 | | | | REF_CLOSE: (3), (4), (5), (26), (28) are inconsistent by sub-proof #375.
% 177.62/27.95 | | | |
% 177.62/27.95 | | | End of split
% 177.62/27.95 | | |
% 177.62/27.95 | | End of split
% 177.62/27.95 | |
% 177.62/27.95 | End of split
% 177.62/27.95 |
% 177.62/27.95 End of proof
% 177.62/27.95
% 177.62/27.95 Sub-proof #375 shows that the following formulas are inconsistent:
% 177.62/27.95 ----------------------------------------------------------------
% 177.62/27.95 (1) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 177.62/27.95 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 177.62/27.95 (2) op(e2, unit) = e2
% 177.62/27.95 (3) op(e2, e2) = e0
% 177.62/27.95 (4) unit = e2
% 177.62/27.95 (5) ~ (e2 = e0)
% 177.62/27.95
% 177.62/27.95 Begin of proof
% 177.62/27.95 |
% 177.62/27.95 | REDUCE: (2), (4) imply:
% 177.62/27.95 | (6) op(e2, e2) = e2
% 177.62/27.95 |
% 177.62/27.95 | GROUND_INST: instantiating (1) with e0, e2, e2, e2, simplifying with (3), (6)
% 177.62/27.95 | gives:
% 177.62/27.95 | (7) e2 = e0
% 177.62/27.95 |
% 177.62/27.95 | REDUCE: (5), (7) imply:
% 177.62/27.95 | (8) $false
% 177.62/27.95 |
% 177.62/27.95 | CLOSE: (8) is inconsistent.
% 177.62/27.95 |
% 177.62/27.95 End of proof
% 177.62/27.95
% 177.62/27.95 Sub-proof #376 shows that the following formulas are inconsistent:
% 177.62/27.95 ----------------------------------------------------------------
% 177.62/27.95 (1) ~ (all_61_4 = e2)
% 177.62/27.95 (2) ~ (all_20_1 = e2)
% 177.62/27.95 (3) ~ (all_61_4 = all_20_1)
% 177.62/27.95 (4) ~ (all_20_1 = e3)
% 177.62/27.95 (5) ~ (all_20_1 = e1)
% 177.62/27.95 (6) ~ (all_61_4 = e1)
% 177.62/27.95 (7) all_63_4 = e2 | all_63_4 = e1 | all_63_4 = e0
% 177.62/27.95 (8) all_63_13 = e3 | all_63_13 = e2 | all_63_13 = e1 | all_63_13 = e0
% 177.62/27.95 (9) all_63_4 = all_61_4
% 177.62/27.95 (10) all_63_13 = all_20_1
% 177.62/27.95
% 177.62/27.95 Begin of proof
% 177.62/27.95 |
% 177.62/27.95 | BETA: splitting (7) gives:
% 177.62/27.95 |
% 177.62/27.95 | Case 1:
% 177.62/27.95 | |
% 177.62/27.95 | | (11) all_63_4 = e2
% 177.62/27.95 | |
% 177.62/27.95 | | COMBINE_EQS: (9), (11) imply:
% 177.62/27.95 | | (12) all_61_4 = e2
% 177.62/27.95 | |
% 177.62/27.95 | | REDUCE: (1), (12) imply:
% 177.62/27.95 | | (13) $false
% 177.62/27.95 | |
% 177.62/27.95 | | CLOSE: (13) is inconsistent.
% 177.62/27.95 | |
% 177.62/27.95 | Case 2:
% 177.62/27.95 | |
% 177.62/27.95 | | (14) all_63_4 = e1 | all_63_4 = e0
% 177.62/27.95 | |
% 177.62/27.95 | | BETA: splitting (8) gives:
% 177.62/27.95 | |
% 177.62/27.95 | | Case 1:
% 177.62/27.95 | | |
% 177.62/27.95 | | | (15) all_63_13 = e3
% 177.62/27.95 | | |
% 177.62/27.95 | | | COMBINE_EQS: (10), (15) imply:
% 177.62/27.95 | | | (16) all_20_1 = e3
% 177.62/27.95 | | |
% 177.62/27.95 | | | REDUCE: (4), (16) imply:
% 177.62/27.95 | | | (17) $false
% 177.62/27.95 | | |
% 177.62/27.95 | | | CLOSE: (17) is inconsistent.
% 177.62/27.95 | | |
% 177.62/27.95 | | Case 2:
% 177.62/27.95 | | |
% 177.62/27.95 | | | (18) all_63_13 = e2 | all_63_13 = e1 | all_63_13 = e0
% 177.62/27.95 | | |
% 177.62/27.95 | | | BETA: splitting (14) gives:
% 177.62/27.95 | | |
% 177.62/27.95 | | | Case 1:
% 177.62/27.95 | | | |
% 177.62/27.95 | | | | (19) all_63_4 = e1
% 177.62/27.95 | | | |
% 177.62/27.95 | | | | COMBINE_EQS: (9), (19) imply:
% 177.62/27.95 | | | | (20) all_61_4 = e1
% 177.62/27.95 | | | |
% 177.62/27.95 | | | | REDUCE: (6), (20) imply:
% 177.62/27.95 | | | | (21) $false
% 177.62/27.95 | | | |
% 177.62/27.95 | | | | CLOSE: (21) is inconsistent.
% 177.62/27.95 | | | |
% 177.62/27.95 | | | Case 2:
% 177.62/27.95 | | | |
% 177.62/27.95 | | | | (22) all_63_4 = e0
% 177.62/27.95 | | | |
% 177.62/27.95 | | | | COMBINE_EQS: (9), (22) imply:
% 177.62/27.95 | | | | (23) all_61_4 = e0
% 177.62/27.95 | | | |
% 177.62/27.95 | | | | REDUCE: (3), (23) imply:
% 177.62/27.95 | | | | (24) ~ (all_20_1 = e0)
% 177.62/27.95 | | | |
% 177.62/27.95 | | | | SIMP: (24) implies:
% 177.62/27.95 | | | | (25) ~ (all_20_1 = e0)
% 177.62/27.95 | | | |
% 177.62/27.95 | | | | REF_CLOSE: (2), (5), (10), (18), (25) are inconsistent by sub-proof
% 177.62/27.95 | | | | #380.
% 177.62/27.95 | | | |
% 177.62/27.95 | | | End of split
% 177.62/27.95 | | |
% 177.62/27.95 | | End of split
% 177.62/27.95 | |
% 177.62/27.95 | End of split
% 177.62/27.95 |
% 177.62/27.95 End of proof
% 177.62/27.95
% 177.62/27.95 Sub-proof #377 shows that the following formulas are inconsistent:
% 177.62/27.95 ----------------------------------------------------------------
% 177.62/27.95 (1) all_63_6 = all_61_9
% 177.62/27.95 (2) ~ (all_61_8 = all_61_9)
% 177.62/27.95 (3) ~ (all_61_8 = e0)
% 177.62/27.95 (4) all_63_6 = e3 | all_63_6 = e2 | all_63_6 = e1 | all_63_6 = e0
% 177.62/27.95 (5) all_63_2 = e3 | all_63_2 = e2 | all_63_2 = e1 | all_63_2 = e0
% 177.62/27.95 (6) ~ (all_61_9 = e0)
% 177.62/27.95 (7) ~ (all_61_8 = e3)
% 177.62/27.95 (8) ~ (all_61_9 = e1)
% 177.62/27.95 (9) ~ (all_61_8 = e1)
% 177.62/27.95 (10) all_63_2 = all_61_8
% 177.62/27.95 (11) ~ (all_61_9 = e3)
% 177.62/27.95
% 177.62/27.95 Begin of proof
% 177.62/27.95 |
% 177.62/27.95 | BETA: splitting (4) gives:
% 177.62/27.95 |
% 177.62/27.95 | Case 1:
% 177.62/27.95 | |
% 177.62/27.95 | | (12) all_63_6 = e3
% 177.62/27.95 | |
% 177.62/27.95 | | COMBINE_EQS: (1), (12) imply:
% 177.62/27.95 | | (13) all_61_9 = e3
% 177.62/27.95 | |
% 177.62/27.95 | | REDUCE: (11), (13) imply:
% 177.62/27.95 | | (14) $false
% 177.62/27.95 | |
% 177.62/27.95 | | CLOSE: (14) is inconsistent.
% 177.62/27.95 | |
% 177.62/27.95 | Case 2:
% 177.62/27.95 | |
% 177.62/27.95 | | (15) all_63_6 = e2 | all_63_6 = e1 | all_63_6 = e0
% 177.62/27.95 | |
% 177.62/27.95 | | BETA: splitting (15) gives:
% 177.62/27.95 | |
% 177.62/27.95 | | Case 1:
% 177.62/27.95 | | |
% 177.62/27.95 | | | (16) all_63_6 = e2
% 177.62/27.95 | | |
% 177.62/27.95 | | | COMBINE_EQS: (1), (16) imply:
% 177.62/27.95 | | | (17) all_61_9 = e2
% 177.62/27.95 | | |
% 177.62/27.95 | | | REDUCE: (2), (17) imply:
% 177.62/27.95 | | | (18) ~ (all_61_8 = e2)
% 177.62/27.95 | | |
% 177.62/27.95 | | | REF_CLOSE: (3), (5), (7), (9), (10), (18) are inconsistent by sub-proof
% 177.62/27.95 | | | #400.
% 177.62/27.95 | | |
% 177.62/27.95 | | Case 2:
% 177.62/27.95 | | |
% 177.62/27.95 | | | (19) all_63_6 = e1 | all_63_6 = e0
% 177.62/27.95 | | |
% 177.62/27.95 | | | REF_CLOSE: (1), (6), (8), (19) are inconsistent by sub-proof #408.
% 177.62/27.95 | | |
% 177.62/27.95 | | End of split
% 177.62/27.95 | |
% 177.62/27.95 | End of split
% 177.62/27.95 |
% 177.62/27.95 End of proof
% 177.62/27.95
% 177.62/27.95 Sub-proof #378 shows that the following formulas are inconsistent:
% 177.62/27.95 ----------------------------------------------------------------
% 177.62/27.95 (1) op(e2, e0) = all_20_1
% 177.62/27.95 (2) ~ (all_52_1 = all_52_3)
% 177.62/27.95 (3) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 177.62/27.95 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 177.62/27.95 (4) all_58_1 = e0
% 177.62/27.95 (5) all_58_3 = all_52_3
% 177.62/27.95 (6) op(e2, all_52_1) = unit
% 177.62/27.95 (7) all_58_1 = all_52_1
% 177.62/27.95 (8) op(unit, e0) = e0
% 177.62/27.95 (9) op(all_20_1, e0) = e2
% 177.62/27.95 (10) all_58_3 = e2
% 177.62/27.95
% 177.62/27.95 Begin of proof
% 177.62/27.95 |
% 177.62/27.95 | COMBINE_EQS: (4), (7) imply:
% 177.62/27.95 | (11) all_52_1 = e0
% 177.62/27.95 |
% 177.62/27.95 | SIMP: (11) implies:
% 177.62/27.95 | (12) all_52_1 = e0
% 177.62/27.95 |
% 177.62/27.95 | COMBINE_EQS: (5), (10) imply:
% 177.62/27.95 | (13) all_52_3 = e2
% 177.62/27.95 |
% 177.62/27.95 | REF_CLOSE: (1), (2), (3), (6), (8), (9), (12), (13) are inconsistent by
% 177.62/27.95 | sub-proof #381.
% 177.62/27.95 |
% 177.62/27.95 End of proof
% 177.62/27.95
% 177.62/27.95 Sub-proof #379 shows that the following formulas are inconsistent:
% 177.62/27.95 ----------------------------------------------------------------
% 177.62/27.95 (1) ~ (all_20_1 = e2)
% 177.62/27.95 (2) ~ (all_20_1 = e3)
% 177.62/27.95 (3) ~ (all_20_1 = e1)
% 177.62/27.95 (4) all_63_13 = e3 | all_63_13 = e2 | all_63_13 = e1 | all_63_13 = e0
% 177.62/27.95 (5) all_63_13 = all_20_1
% 177.62/27.95 (6) ~ (all_20_1 = e0)
% 177.62/27.95
% 177.62/27.95 Begin of proof
% 177.62/27.95 |
% 177.62/27.95 | BETA: splitting (4) gives:
% 177.62/27.95 |
% 177.62/27.95 | Case 1:
% 177.62/27.95 | |
% 177.62/27.95 | | (7) all_63_13 = e3
% 177.62/27.95 | |
% 177.62/27.95 | | COMBINE_EQS: (5), (7) imply:
% 177.62/27.95 | | (8) all_20_1 = e3
% 177.62/27.95 | |
% 177.62/27.95 | | REDUCE: (2), (8) imply:
% 177.62/27.95 | | (9) $false
% 177.62/27.95 | |
% 177.62/27.95 | | CLOSE: (9) is inconsistent.
% 177.62/27.95 | |
% 177.62/27.95 | Case 2:
% 177.62/27.95 | |
% 177.62/27.95 | | (10) all_63_13 = e2 | all_63_13 = e1 | all_63_13 = e0
% 177.62/27.95 | |
% 177.62/27.95 | | REF_CLOSE: (1), (3), (5), (6), (10) are inconsistent by sub-proof #380.
% 177.62/27.95 | |
% 177.62/27.95 | End of split
% 177.62/27.95 |
% 177.62/27.95 End of proof
% 177.62/27.95
% 177.62/27.95 Sub-proof #380 shows that the following formulas are inconsistent:
% 177.62/27.95 ----------------------------------------------------------------
% 177.62/27.95 (1) ~ (all_20_1 = e2)
% 177.62/27.95 (2) all_63_13 = e2 | all_63_13 = e1 | all_63_13 = e0
% 177.62/27.95 (3) ~ (all_20_1 = e1)
% 177.62/27.95 (4) all_63_13 = all_20_1
% 177.62/27.95 (5) ~ (all_20_1 = e0)
% 177.62/27.95
% 177.62/27.95 Begin of proof
% 177.62/27.95 |
% 177.62/27.95 | BETA: splitting (2) gives:
% 177.62/27.95 |
% 177.62/27.95 | Case 1:
% 177.62/27.95 | |
% 177.62/27.95 | | (6) all_63_13 = e2
% 177.62/27.95 | |
% 177.62/27.95 | | COMBINE_EQS: (4), (6) imply:
% 177.62/27.95 | | (7) all_20_1 = e2
% 177.62/27.95 | |
% 177.62/27.95 | | REDUCE: (1), (7) imply:
% 177.62/27.95 | | (8) $false
% 177.62/27.95 | |
% 177.62/27.95 | | CLOSE: (8) is inconsistent.
% 177.62/27.95 | |
% 177.62/27.95 | Case 2:
% 177.62/27.95 | |
% 177.62/27.95 | | (9) all_63_13 = e1 | all_63_13 = e0
% 177.62/27.95 | |
% 177.62/27.95 | | BETA: splitting (9) gives:
% 177.62/27.95 | |
% 177.62/27.95 | | Case 1:
% 177.62/27.95 | | |
% 177.62/27.95 | | | (10) all_63_13 = e1
% 177.62/27.95 | | |
% 177.62/27.95 | | | COMBINE_EQS: (4), (10) imply:
% 177.62/27.95 | | | (11) all_20_1 = e1
% 177.62/27.95 | | |
% 177.62/27.95 | | | REDUCE: (3), (11) imply:
% 177.62/27.95 | | | (12) $false
% 177.62/27.95 | | |
% 177.62/27.95 | | | CLOSE: (12) is inconsistent.
% 177.62/27.95 | | |
% 177.62/27.95 | | Case 2:
% 177.62/27.95 | | |
% 177.62/27.95 | | | (13) all_63_13 = e0
% 177.62/27.95 | | |
% 177.62/27.95 | | | COMBINE_EQS: (4), (13) imply:
% 177.62/27.95 | | | (14) all_20_1 = e0
% 177.62/27.95 | | |
% 177.62/27.95 | | | REDUCE: (5), (14) imply:
% 177.62/27.95 | | | (15) $false
% 177.62/27.95 | | |
% 177.62/27.95 | | | CLOSE: (15) is inconsistent.
% 177.62/27.95 | | |
% 177.62/27.95 | | End of split
% 177.62/27.95 | |
% 177.62/27.95 | End of split
% 177.62/27.95 |
% 177.62/27.95 End of proof
% 177.62/27.95
% 177.62/27.95 Sub-proof #381 shows that the following formulas are inconsistent:
% 177.62/27.95 ----------------------------------------------------------------
% 177.62/27.95 (1) op(e2, e0) = all_20_1
% 177.62/27.95 (2) ~ (all_52_1 = all_52_3)
% 177.62/27.95 (3) all_52_3 = e2
% 177.62/27.95 (4) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 177.62/27.95 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 177.62/27.95 (5) op(e2, all_52_1) = unit
% 177.62/27.95 (6) op(unit, e0) = e0
% 177.62/27.95 (7) op(all_20_1, e0) = e2
% 177.62/27.95 (8) all_52_1 = e0
% 177.62/27.95
% 177.62/27.95 Begin of proof
% 177.62/27.95 |
% 177.62/27.95 | REDUCE: (2), (3), (8) imply:
% 177.62/27.95 | (9) ~ (e2 = e0)
% 177.62/27.95 |
% 177.62/27.95 | SIMP: (9) implies:
% 177.62/27.95 | (10) ~ (e2 = e0)
% 177.62/27.95 |
% 177.62/27.95 | REDUCE: (5), (8) imply:
% 177.62/27.95 | (11) op(e2, e0) = unit
% 177.62/27.95 |
% 177.62/27.95 | REF_CLOSE: (1), (4), (6), (7), (10), (11) are inconsistent by sub-proof #382.
% 177.62/27.95 |
% 177.62/27.95 End of proof
% 177.62/27.95
% 177.62/27.95 Sub-proof #382 shows that the following formulas are inconsistent:
% 177.62/27.95 ----------------------------------------------------------------
% 177.62/27.95 (1) op(e2, e0) = all_20_1
% 177.62/27.95 (2) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 177.62/27.95 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 177.62/27.95 (3) ~ (e2 = e0)
% 177.62/27.95 (4) op(unit, e0) = e0
% 177.62/27.95 (5) op(all_20_1, e0) = e2
% 177.62/27.95 (6) op(e2, e0) = unit
% 177.62/27.95
% 177.62/27.95 Begin of proof
% 177.62/27.95 |
% 177.62/27.95 | GROUND_INST: instantiating (2) with all_20_1, unit, e0, e2, simplifying with
% 177.62/27.95 | (1), (6) gives:
% 177.62/27.95 | (7) all_20_1 = unit
% 177.62/27.95 |
% 177.62/27.95 | REDUCE: (5), (7) imply:
% 177.62/27.95 | (8) op(unit, e0) = e2
% 177.62/27.95 |
% 177.62/27.95 | GROUND_INST: instantiating (2) with e0, e2, e0, unit, simplifying with (4),
% 177.62/27.95 | (8) gives:
% 177.62/27.95 | (9) e2 = e0
% 177.62/27.95 |
% 177.62/27.95 | REDUCE: (3), (9) imply:
% 177.62/27.95 | (10) $false
% 177.62/27.95 |
% 177.62/27.95 | CLOSE: (10) is inconsistent.
% 177.62/27.95 |
% 177.62/27.95 End of proof
% 177.62/27.95
% 177.62/27.95 Sub-proof #383 shows that the following formulas are inconsistent:
% 177.62/27.95 ----------------------------------------------------------------
% 177.62/27.95 (1) all_56_2 = e3 | all_56_2 = e2 | all_56_2 = e1 | all_56_2 = e0
% 177.62/27.95 (2) all_56_2 = all_52_2
% 177.62/27.95 (3) all_56_1 = e3 | all_56_1 = e2 | all_56_1 = e1 | all_56_1 = e0
% 177.62/27.95 (4) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 177.62/27.95 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 177.62/27.95 (5) ~ (all_52_1 = e3)
% 177.62/27.95 (6) ~ (all_52_2 = e0)
% 177.62/27.95 (7) ~ (all_52_2 = e3)
% 177.62/27.95 (8) ~ (all_52_1 = all_52_2)
% 177.62/27.95 (9) ~ (all_58_2 = e2) | all_58_1 = e1
% 177.62/27.95 (10) all_56_1 = all_52_1
% 177.62/27.95 (11) op(e1, e1) = e1
% 177.62/27.95 (12) op(e2, all_52_1) = unit
% 177.62/27.95 (13) all_58_2 = all_52_2
% 177.62/27.95 (14) all_58_1 = all_52_1
% 177.62/27.95 (15) ~ (all_52_1 = e1)
% 177.62/27.95 (16) op(e1, all_52_2) = unit
% 177.62/27.95 (17) ~ (all_52_1 = e0)
% 177.62/27.95 (18) op(e2, e2) = e2
% 177.62/27.95
% 177.62/27.95 Begin of proof
% 177.62/27.95 |
% 177.62/27.95 | BETA: splitting (9) gives:
% 177.62/27.95 |
% 177.62/27.95 | Case 1:
% 177.62/27.95 | |
% 177.62/27.95 | | (19) ~ (all_58_2 = e2)
% 177.62/27.95 | |
% 177.62/27.95 | | REDUCE: (13), (19) imply:
% 177.62/27.95 | | (20) ~ (all_52_2 = e2)
% 177.62/27.95 | |
% 177.62/27.95 | | BETA: splitting (1) gives:
% 177.62/27.95 | |
% 177.62/27.95 | | Case 1:
% 177.62/27.95 | | |
% 177.62/27.95 | | | (21) all_56_2 = e3
% 177.62/27.95 | | |
% 177.62/27.95 | | | COMBINE_EQS: (2), (21) imply:
% 177.62/27.95 | | | (22) all_52_2 = e3
% 177.62/27.95 | | |
% 177.62/27.95 | | | REDUCE: (7), (22) imply:
% 177.62/27.95 | | | (23) $false
% 177.62/27.95 | | |
% 177.62/27.95 | | | CLOSE: (23) is inconsistent.
% 177.62/27.95 | | |
% 177.62/27.95 | | Case 2:
% 177.62/27.95 | | |
% 177.62/27.95 | | | (24) all_56_2 = e2 | all_56_2 = e1 | all_56_2 = e0
% 177.62/27.95 | | |
% 177.62/27.95 | | | BETA: splitting (24) gives:
% 177.62/27.95 | | |
% 177.62/27.95 | | | Case 1:
% 177.62/27.95 | | | |
% 177.62/27.95 | | | | (25) all_56_2 = e2
% 177.62/27.95 | | | |
% 177.62/27.95 | | | | COMBINE_EQS: (2), (25) imply:
% 177.62/27.95 | | | | (26) all_52_2 = e2
% 177.62/27.95 | | | |
% 177.62/27.95 | | | | REDUCE: (20), (26) imply:
% 177.62/27.95 | | | | (27) $false
% 177.62/27.95 | | | |
% 177.62/27.95 | | | | CLOSE: (27) is inconsistent.
% 177.62/27.95 | | | |
% 177.62/27.95 | | | Case 2:
% 177.62/27.95 | | | |
% 177.62/27.95 | | | | (28) all_56_2 = e1 | all_56_2 = e0
% 177.62/27.95 | | | |
% 177.62/27.95 | | | | BETA: splitting (28) gives:
% 177.62/27.95 | | | |
% 177.62/27.95 | | | | Case 1:
% 177.62/27.95 | | | | |
% 177.62/27.95 | | | | | (29) all_56_2 = e1
% 177.62/27.95 | | | | |
% 177.62/27.95 | | | | | COMBINE_EQS: (2), (29) imply:
% 177.62/27.95 | | | | | (30) all_52_2 = e1
% 177.62/27.95 | | | | |
% 177.62/27.95 | | | | | REDUCE: (16), (30) imply:
% 177.62/27.95 | | | | | (31) op(e1, e1) = unit
% 177.62/27.95 | | | | |
% 177.62/27.95 | | | | | BETA: splitting (3) gives:
% 177.62/27.95 | | | | |
% 177.62/27.95 | | | | | Case 1:
% 177.62/27.95 | | | | | |
% 177.62/27.95 | | | | | | (32) all_56_1 = e3
% 177.62/27.95 | | | | | |
% 177.62/27.95 | | | | | | REF_CLOSE: (5), (10), (32) are inconsistent by sub-proof #455.
% 177.62/27.95 | | | | | |
% 177.62/27.95 | | | | | Case 2:
% 177.62/27.95 | | | | | |
% 177.62/27.95 | | | | | | (33) all_56_1 = e2 | all_56_1 = e1 | all_56_1 = e0
% 177.62/27.95 | | | | | |
% 177.62/27.95 | | | | | | BETA: splitting (33) gives:
% 177.62/27.95 | | | | | |
% 177.62/27.95 | | | | | | Case 1:
% 177.62/27.95 | | | | | | |
% 177.62/27.95 | | | | | | | (34) all_56_1 = e2
% 177.62/27.95 | | | | | | |
% 177.62/27.95 | | | | | | | COMBINE_EQS: (10), (34) imply:
% 177.62/27.95 | | | | | | | (35) all_52_1 = e2
% 177.62/27.95 | | | | | | |
% 177.62/27.95 | | | | | | | SIMP: (35) implies:
% 177.62/27.95 | | | | | | | (36) all_52_1 = e2
% 177.62/27.95 | | | | | | |
% 177.62/27.95 | | | | | | | REDUCE: (15), (36) imply:
% 177.62/27.95 | | | | | | | (37) ~ (e2 = e1)
% 177.62/27.95 | | | | | | |
% 177.62/27.95 | | | | | | | REDUCE: (12), (36) imply:
% 177.62/27.95 | | | | | | | (38) op(e2, e2) = unit
% 177.62/27.95 | | | | | | |
% 177.62/27.95 | | | | | | | GROUND_INST: instantiating (4) with e1, unit, e1, e1, simplifying
% 177.62/27.95 | | | | | | | with (11), (31) gives:
% 177.62/27.95 | | | | | | | (39) unit = e1
% 177.62/27.95 | | | | | | |
% 177.62/27.95 | | | | | | | GROUND_INST: instantiating (4) with e2, unit, e2, e2, simplifying
% 177.62/27.95 | | | | | | | with (18), (38) gives:
% 177.62/27.95 | | | | | | | (40) unit = e2
% 177.62/27.95 | | | | | | |
% 177.62/27.95 | | | | | | | REF_CLOSE: (37), (39), (40) are inconsistent by sub-proof #384.
% 177.62/27.95 | | | | | | |
% 177.62/27.95 | | | | | | Case 2:
% 177.62/27.95 | | | | | | |
% 177.62/27.95 | | | | | | | (41) all_56_1 = e1 | all_56_1 = e0
% 177.62/27.95 | | | | | | |
% 177.62/27.95 | | | | | | | REF_CLOSE: (10), (15), (17), (41) are inconsistent by sub-proof
% 177.62/27.95 | | | | | | | #454.
% 177.62/27.95 | | | | | | |
% 177.62/27.95 | | | | | | End of split
% 177.62/27.95 | | | | | |
% 177.62/27.95 | | | | | End of split
% 177.62/27.95 | | | | |
% 177.62/27.95 | | | | Case 2:
% 177.62/27.95 | | | | |
% 177.62/27.95 | | | | | (42) all_56_2 = e0
% 177.62/27.95 | | | | |
% 177.62/27.95 | | | | | COMBINE_EQS: (2), (42) imply:
% 177.62/27.95 | | | | | (43) all_52_2 = e0
% 177.62/27.95 | | | | |
% 177.62/27.95 | | | | | REDUCE: (6), (43) imply:
% 177.62/27.95 | | | | | (44) $false
% 177.62/27.95 | | | | |
% 177.62/27.95 | | | | | CLOSE: (44) is inconsistent.
% 177.62/27.95 | | | | |
% 177.62/27.95 | | | | End of split
% 177.62/27.95 | | | |
% 177.62/27.95 | | | End of split
% 177.62/27.95 | | |
% 177.62/27.95 | | End of split
% 177.62/27.95 | |
% 177.62/27.95 | Case 2:
% 177.62/27.95 | |
% 177.62/27.95 | | (45) all_58_1 = e1
% 177.62/27.95 | |
% 177.62/27.95 | | REF_CLOSE: (14), (15), (45) are inconsistent by sub-proof #424.
% 177.62/27.95 | |
% 177.62/27.95 | End of split
% 177.62/27.95 |
% 177.62/27.95 End of proof
% 177.62/27.95
% 177.62/27.95 Sub-proof #384 shows that the following formulas are inconsistent:
% 177.62/27.95 ----------------------------------------------------------------
% 177.62/27.95 (1) unit = e2
% 177.62/27.95 (2) unit = e1
% 177.62/27.95 (3) ~ (e2 = e1)
% 177.62/27.95
% 177.62/27.95 Begin of proof
% 177.62/27.95 |
% 177.62/27.95 | COMBINE_EQS: (1), (2) imply:
% 177.62/27.95 | (4) e2 = e1
% 177.62/27.95 |
% 177.62/27.95 | SIMP: (4) implies:
% 177.62/27.95 | (5) e2 = e1
% 177.62/27.95 |
% 177.62/27.95 | REDUCE: (3), (5) imply:
% 177.62/27.95 | (6) $false
% 177.62/27.95 |
% 177.62/27.95 | CLOSE: (6) is inconsistent.
% 177.62/27.95 |
% 177.62/27.95 End of proof
% 177.62/27.95
% 177.62/27.95 Sub-proof #385 shows that the following formulas are inconsistent:
% 177.62/27.95 ----------------------------------------------------------------
% 177.62/27.95 (1) ~ (all_52_3 = e3)
% 177.62/27.95 (2) ~ (all_52_3 = e2)
% 177.62/27.95 (3) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 177.62/27.95 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 177.62/27.95 (4) op(unit, e1) = e1
% 177.62/27.95 (5) all_56_3 = e3 | all_56_3 = e2 | all_56_3 = e1 | all_56_3 = e0
% 177.62/27.95 (6) ~ (all_52_3 = e1)
% 177.62/27.95 (7) all_56_3 = all_52_3
% 177.62/27.95 (8) ~ (all_61_9 = e1)
% 177.62/27.95 (9) op(e2, e1) = all_61_9
% 177.62/27.95 (10) op(e0, e0) = e2
% 177.62/27.95 (11) op(e0, all_52_3) = unit
% 177.62/27.95
% 177.62/27.95 Begin of proof
% 177.62/27.95 |
% 177.62/27.95 | BETA: splitting (5) gives:
% 177.62/27.95 |
% 177.62/27.95 | Case 1:
% 177.62/27.95 | |
% 177.62/27.95 | | (12) all_56_3 = e3
% 177.62/27.95 | |
% 177.62/27.95 | | COMBINE_EQS: (7), (12) imply:
% 177.62/27.95 | | (13) all_52_3 = e3
% 177.62/27.95 | |
% 177.62/27.95 | | REDUCE: (1), (13) imply:
% 177.62/27.95 | | (14) $false
% 177.62/27.95 | |
% 177.62/27.95 | | CLOSE: (14) is inconsistent.
% 177.62/27.95 | |
% 177.62/27.95 | Case 2:
% 177.62/27.95 | |
% 177.62/27.95 | | (15) all_56_3 = e2 | all_56_3 = e1 | all_56_3 = e0
% 177.62/27.95 | |
% 177.62/27.95 | | BETA: splitting (15) gives:
% 177.62/27.95 | |
% 177.62/27.95 | | Case 1:
% 177.62/27.95 | | |
% 177.62/27.95 | | | (16) all_56_3 = e2
% 177.62/27.95 | | |
% 177.62/27.95 | | | COMBINE_EQS: (7), (16) imply:
% 177.62/27.95 | | | (17) all_52_3 = e2
% 177.62/27.95 | | |
% 177.62/27.95 | | | REDUCE: (2), (17) imply:
% 177.62/27.95 | | | (18) $false
% 177.62/27.95 | | |
% 177.62/27.95 | | | CLOSE: (18) is inconsistent.
% 177.62/27.95 | | |
% 177.62/27.95 | | Case 2:
% 177.62/27.95 | | |
% 177.62/27.95 | | | (19) all_56_3 = e1 | all_56_3 = e0
% 177.62/27.95 | | |
% 177.62/27.95 | | | BETA: splitting (19) gives:
% 177.62/27.95 | | |
% 177.62/27.95 | | | Case 1:
% 177.62/27.95 | | | |
% 177.62/27.95 | | | | (20) all_56_3 = e1
% 177.62/27.95 | | | |
% 177.62/27.95 | | | | COMBINE_EQS: (7), (20) imply:
% 177.62/27.95 | | | | (21) all_52_3 = e1
% 177.62/27.95 | | | |
% 177.62/27.95 | | | | REDUCE: (6), (21) imply:
% 177.62/27.95 | | | | (22) $false
% 177.62/27.95 | | | |
% 177.62/27.95 | | | | CLOSE: (22) is inconsistent.
% 177.62/27.95 | | | |
% 177.62/27.95 | | | Case 2:
% 177.62/27.95 | | | |
% 177.62/27.95 | | | | (23) all_56_3 = e0
% 177.62/27.95 | | | |
% 177.62/27.95 | | | | COMBINE_EQS: (7), (23) imply:
% 177.62/27.95 | | | | (24) all_52_3 = e0
% 177.62/27.95 | | | |
% 177.62/27.95 | | | | REDUCE: (11), (24) imply:
% 177.62/27.95 | | | | (25) op(e0, e0) = unit
% 177.62/27.95 | | | |
% 177.62/27.95 | | | | GROUND_INST: instantiating (3) with e2, unit, e0, e0, simplifying with
% 177.62/27.95 | | | | (10), (25) gives:
% 177.62/27.95 | | | | (26) unit = e2
% 177.62/27.95 | | | |
% 177.62/27.95 | | | | REF_CLOSE: (3), (4), (8), (9), (26) are inconsistent by sub-proof #435.
% 177.62/27.95 | | | |
% 177.62/27.95 | | | End of split
% 177.62/27.95 | | |
% 177.62/27.95 | | End of split
% 177.62/27.95 | |
% 177.62/27.95 | End of split
% 177.62/27.95 |
% 177.62/27.95 End of proof
% 177.62/27.95
% 177.62/27.95 Sub-proof #386 shows that the following formulas are inconsistent:
% 177.62/27.95 ----------------------------------------------------------------
% 177.62/27.95 (1) ~ (all_61_2 = e0)
% 177.62/27.95 (2) ~ (all_61_2 = e2)
% 177.62/27.95 (3) all_63_8 = all_61_2
% 177.62/27.95 (4) ~ (all_61_2 = e1)
% 177.62/27.95 (5) all_63_8 = e2 | all_63_8 = e1 | all_63_8 = e0
% 177.62/27.95
% 177.62/27.95 Begin of proof
% 177.62/27.95 |
% 177.62/27.95 | BETA: splitting (5) gives:
% 177.62/27.95 |
% 177.62/27.95 | Case 1:
% 177.62/27.95 | |
% 177.62/27.95 | | (6) all_63_8 = e2
% 177.62/27.95 | |
% 177.62/27.95 | | COMBINE_EQS: (3), (6) imply:
% 177.62/27.95 | | (7) all_61_2 = e2
% 177.62/27.95 | |
% 177.62/27.95 | | SIMP: (7) implies:
% 177.62/27.95 | | (8) all_61_2 = e2
% 177.62/27.95 | |
% 177.62/27.95 | | REDUCE: (2), (8) imply:
% 177.62/27.95 | | (9) $false
% 177.62/27.95 | |
% 177.62/27.95 | | CLOSE: (9) is inconsistent.
% 177.62/27.95 | |
% 177.62/27.95 | Case 2:
% 177.62/27.95 | |
% 177.62/27.95 | | (10) all_63_8 = e1 | all_63_8 = e0
% 177.62/27.95 | |
% 177.62/27.95 | | REF_CLOSE: (1), (3), (4), (10) are inconsistent by sub-proof #387.
% 177.62/27.95 | |
% 177.62/27.95 | End of split
% 177.62/27.95 |
% 177.62/27.95 End of proof
% 177.62/27.95
% 177.62/27.95 Sub-proof #387 shows that the following formulas are inconsistent:
% 177.62/27.95 ----------------------------------------------------------------
% 177.62/27.95 (1) all_63_8 = e1 | all_63_8 = e0
% 177.62/27.95 (2) all_63_8 = all_61_2
% 177.62/27.95 (3) ~ (all_61_2 = e1)
% 177.62/27.95 (4) ~ (all_61_2 = e0)
% 177.62/27.95
% 177.62/27.95 Begin of proof
% 177.62/27.95 |
% 177.62/27.95 | BETA: splitting (1) gives:
% 177.62/27.95 |
% 177.62/27.95 | Case 1:
% 177.62/27.95 | |
% 177.62/27.95 | | (5) all_63_8 = e1
% 177.62/27.95 | |
% 177.62/27.95 | | COMBINE_EQS: (2), (5) imply:
% 177.62/27.95 | | (6) all_61_2 = e1
% 177.62/27.95 | |
% 177.62/27.95 | | SIMP: (6) implies:
% 177.62/27.95 | | (7) all_61_2 = e1
% 177.62/27.95 | |
% 177.62/27.95 | | REDUCE: (3), (7) imply:
% 177.62/27.95 | | (8) $false
% 177.62/27.95 | |
% 177.62/27.95 | | CLOSE: (8) is inconsistent.
% 177.62/27.95 | |
% 177.62/27.95 | Case 2:
% 177.62/27.95 | |
% 177.62/27.95 | | (9) all_63_8 = e0
% 177.62/27.95 | |
% 177.62/27.95 | | REF_CLOSE: (2), (4), (9) are inconsistent by sub-proof #388.
% 177.62/27.95 | |
% 177.62/27.95 | End of split
% 177.62/27.95 |
% 177.62/27.95 End of proof
% 177.62/27.95
% 177.62/27.95 Sub-proof #388 shows that the following formulas are inconsistent:
% 177.62/27.95 ----------------------------------------------------------------
% 177.62/27.95 (1) all_63_8 = all_61_2
% 177.62/27.95 (2) all_63_8 = e0
% 177.62/27.95 (3) ~ (all_61_2 = e0)
% 177.62/27.95
% 177.62/27.95 Begin of proof
% 177.62/27.95 |
% 177.62/27.95 | COMBINE_EQS: (1), (2) imply:
% 177.62/27.95 | (4) all_61_2 = e0
% 177.62/27.95 |
% 177.62/27.95 | SIMP: (4) implies:
% 177.62/27.95 | (5) all_61_2 = e0
% 177.62/27.95 |
% 177.62/27.95 | REDUCE: (3), (5) imply:
% 177.62/27.95 | (6) $false
% 177.62/27.95 |
% 177.62/27.95 | CLOSE: (6) is inconsistent.
% 177.62/27.95 |
% 177.62/27.95 End of proof
% 177.62/27.95
% 177.62/27.95 Sub-proof #389 shows that the following formulas are inconsistent:
% 177.62/27.95 ----------------------------------------------------------------
% 177.62/27.95 (1) op(e0, e0) = e3
% 177.62/27.95 (2) ~ (all_58_1 = e3) | all_58_0 = e2
% 177.62/27.95 (3) op(e3, all_52_0) = unit
% 177.62/27.95 (4) op(all_61_4, e3) = all_22_1
% 177.62/27.95 (5) all_58_0 = all_52_0
% 177.62/27.95 (6) all_56_1 = e3 | all_56_1 = e2 | all_56_1 = e1 | all_56_1 = e0
% 177.62/27.95 (7) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 177.62/27.95 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 177.62/27.95 (8) op(e2, e2) = e0
% 177.62/27.95 (9) op(unit, e3) = e3
% 177.62/27.95 (10) all_56_1 = all_52_1
% 177.62/27.95 (11) ~ (e3 = e2)
% 177.62/27.95 (12) ~ (all_52_2 = e2)
% 177.62/27.95 (13) op(e2, all_52_1) = unit
% 177.62/27.95 (14) all_58_2 = all_52_2
% 177.62/27.95 (15) ~ (all_58_1 = e0) | all_58_3 = e2
% 177.62/27.95 (16) all_58_1 = all_52_1
% 177.62/27.95 (17) op(e2, e0) = all_22_1
% 177.62/27.95 (18) ~ (all_58_1 = e1) | all_58_2 = e2
% 177.62/27.96 (19) op(all_22_1, e2) = e3
% 177.62/27.96 (20) ~ (unit = e3)
% 177.62/27.96 (21) op(e3, e2) = all_61_4
% 177.62/27.96 (22) op(e0, unit) = e0
% 177.62/27.96 (23) ~ (all_22_1 = e3)
% 177.62/27.96 (24) op(unit, e2) = e2
% 177.62/27.96
% 177.62/27.96 Begin of proof
% 177.62/27.96 |
% 177.62/27.96 | BETA: splitting (18) gives:
% 177.62/27.96 |
% 177.62/27.96 | Case 1:
% 177.62/27.96 | |
% 177.62/27.96 | | (25) ~ (all_58_1 = e1)
% 177.62/27.96 | |
% 177.62/27.96 | | REDUCE: (16), (25) imply:
% 177.62/27.96 | | (26) ~ (all_52_1 = e1)
% 177.62/27.96 | |
% 177.62/27.96 | | BETA: splitting (15) gives:
% 177.62/27.96 | |
% 177.62/27.96 | | Case 1:
% 177.62/27.96 | | |
% 177.62/27.96 | | | (27) ~ (all_58_1 = e0)
% 177.62/27.96 | | |
% 177.62/27.96 | | | REDUCE: (16), (27) imply:
% 177.62/27.96 | | | (28) ~ (all_52_1 = e0)
% 177.62/27.96 | | |
% 177.62/27.96 | | | BETA: splitting (2) gives:
% 177.62/27.96 | | |
% 177.62/27.96 | | | Case 1:
% 177.62/27.96 | | | |
% 177.62/27.96 | | | | (29) ~ (all_58_1 = e3)
% 177.62/27.96 | | | |
% 177.62/27.96 | | | | REF_CLOSE: (1), (6), (7), (8), (10), (13), (16), (20), (22), (26), (28),
% 177.62/27.96 | | | | (29) are inconsistent by sub-proof #392.
% 177.62/27.96 | | | |
% 177.62/27.96 | | | Case 2:
% 177.62/27.96 | | | |
% 177.62/27.96 | | | | (30) all_58_0 = e2
% 177.62/27.96 | | | |
% 177.62/27.96 | | | | COMBINE_EQS: (5), (30) imply:
% 177.62/27.96 | | | | (31) all_52_0 = e2
% 177.62/27.96 | | | |
% 177.62/27.96 | | | | SIMP: (31) implies:
% 177.62/27.96 | | | | (32) all_52_0 = e2
% 177.62/27.96 | | | |
% 177.62/27.96 | | | | REDUCE: (3), (32) imply:
% 177.62/27.96 | | | | (33) op(e3, e2) = unit
% 177.62/27.96 | | | |
% 177.62/27.96 | | | | GROUND_INST: instantiating (7) with all_61_4, unit, e2, e3, simplifying
% 177.62/27.96 | | | | with (21), (33) gives:
% 177.62/27.96 | | | | (34) all_61_4 = unit
% 177.62/27.96 | | | |
% 177.62/27.96 | | | | REDUCE: (4), (34) imply:
% 177.62/27.96 | | | | (35) op(unit, e3) = all_22_1
% 177.62/27.96 | | | |
% 177.62/27.96 | | | | GROUND_INST: instantiating (7) with e3, all_22_1, e3, unit, simplifying
% 177.62/27.96 | | | | with (9), (35) gives:
% 177.62/27.96 | | | | (36) all_22_1 = e3
% 177.62/27.96 | | | |
% 177.62/27.96 | | | | REDUCE: (23), (36) imply:
% 177.62/27.96 | | | | (37) $false
% 177.62/27.96 | | | |
% 177.62/27.96 | | | | CLOSE: (37) is inconsistent.
% 177.62/27.96 | | | |
% 177.62/27.96 | | | End of split
% 177.62/27.96 | | |
% 177.62/27.96 | | Case 2:
% 177.62/27.96 | | |
% 177.62/27.96 | | | (38) all_58_1 = e0
% 177.62/27.96 | | |
% 177.62/27.96 | | | REF_CLOSE: (7), (11), (13), (16), (17), (19), (24), (38) are inconsistent
% 177.62/27.96 | | | by sub-proof #390.
% 177.62/27.96 | | |
% 177.62/27.96 | | End of split
% 177.62/27.96 | |
% 177.62/27.96 | Case 2:
% 177.62/27.96 | |
% 177.62/27.96 | | (39) all_58_2 = e2
% 177.62/27.96 | |
% 177.62/27.96 | | REF_CLOSE: (12), (14), (39) are inconsistent by sub-proof #433.
% 177.62/27.96 | |
% 177.62/27.96 | End of split
% 177.62/27.96 |
% 177.62/27.96 End of proof
% 177.62/27.96
% 177.62/27.96 Sub-proof #390 shows that the following formulas are inconsistent:
% 177.62/27.96 ----------------------------------------------------------------
% 177.62/27.96 (1) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 177.62/27.96 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 177.62/27.96 (2) all_58_1 = e0
% 177.62/27.96 (3) ~ (e3 = e2)
% 177.62/27.96 (4) op(e2, all_52_1) = unit
% 177.62/27.96 (5) all_58_1 = all_52_1
% 177.62/27.96 (6) op(e2, e0) = all_22_1
% 177.62/27.96 (7) op(all_22_1, e2) = e3
% 177.62/27.96 (8) op(unit, e2) = e2
% 177.62/27.96
% 177.62/27.96 Begin of proof
% 177.62/27.96 |
% 177.62/27.96 | COMBINE_EQS: (2), (5) imply:
% 177.62/27.96 | (9) all_52_1 = e0
% 177.62/27.96 |
% 177.62/27.96 | SIMP: (9) implies:
% 177.62/27.96 | (10) all_52_1 = e0
% 177.62/27.96 |
% 177.62/27.96 | REDUCE: (4), (10) imply:
% 177.62/27.96 | (11) op(e2, e0) = unit
% 177.62/27.96 |
% 177.62/27.96 | REF_CLOSE: (1), (3), (6), (7), (8), (11) are inconsistent by sub-proof #391.
% 177.62/27.96 |
% 177.62/27.96 End of proof
% 177.62/27.96
% 177.62/27.96 Sub-proof #391 shows that the following formulas are inconsistent:
% 177.62/27.96 ----------------------------------------------------------------
% 177.62/27.96 (1) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 177.62/27.96 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 177.62/27.96 (2) ~ (e3 = e2)
% 177.62/27.96 (3) op(e2, e0) = all_22_1
% 177.62/27.96 (4) op(e2, e0) = unit
% 177.62/27.96 (5) op(all_22_1, e2) = e3
% 177.62/27.96 (6) op(unit, e2) = e2
% 177.62/27.96
% 177.62/27.96 Begin of proof
% 177.62/27.96 |
% 177.62/27.96 | GROUND_INST: instantiating (1) with all_22_1, unit, e0, e2, simplifying with
% 177.62/27.96 | (3), (4) gives:
% 177.62/27.96 | (7) all_22_1 = unit
% 177.62/27.96 |
% 177.62/27.96 | REDUCE: (5), (7) imply:
% 177.62/27.96 | (8) op(unit, e2) = e3
% 177.62/27.96 |
% 177.62/27.96 | GROUND_INST: instantiating (1) with e2, e3, e2, unit, simplifying with (6),
% 177.62/27.96 | (8) gives:
% 177.62/27.96 | (9) e3 = e2
% 177.62/27.96 |
% 177.62/27.96 | REDUCE: (2), (9) imply:
% 177.62/27.96 | (10) $false
% 177.62/27.96 |
% 177.62/27.96 | CLOSE: (10) is inconsistent.
% 177.62/27.96 |
% 177.62/27.96 End of proof
% 177.62/27.96
% 177.62/27.96 Sub-proof #392 shows that the following formulas are inconsistent:
% 177.62/27.96 ----------------------------------------------------------------
% 177.62/27.96 (1) op(e0, e0) = e3
% 177.62/27.96 (2) all_56_1 = e3 | all_56_1 = e2 | all_56_1 = e1 | all_56_1 = e0
% 177.62/27.96 (3) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 177.62/27.96 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 177.62/27.96 (4) op(e2, e2) = e0
% 177.62/27.96 (5) all_56_1 = all_52_1
% 177.62/27.96 (6) op(e2, all_52_1) = unit
% 177.62/27.96 (7) all_58_1 = all_52_1
% 177.62/27.96 (8) ~ (all_58_1 = e3)
% 177.62/27.96 (9) ~ (all_52_1 = e1)
% 177.62/27.96 (10) ~ (unit = e3)
% 177.62/27.96 (11) op(e0, unit) = e0
% 177.62/27.96 (12) ~ (all_52_1 = e0)
% 177.62/27.96
% 177.62/27.96 Begin of proof
% 177.62/27.96 |
% 177.62/27.96 | REDUCE: (7), (8) imply:
% 177.62/27.96 | (13) ~ (all_52_1 = e3)
% 177.62/27.96 |
% 177.62/27.96 | BETA: splitting (2) gives:
% 177.62/27.96 |
% 177.62/27.96 | Case 1:
% 177.62/27.96 | |
% 177.62/27.96 | | (14) all_56_1 = e3
% 177.62/27.96 | |
% 177.62/27.96 | | COMBINE_EQS: (5), (14) imply:
% 177.62/27.96 | | (15) all_52_1 = e3
% 177.62/27.96 | |
% 177.62/27.96 | | REDUCE: (13), (15) imply:
% 177.62/27.96 | | (16) $false
% 177.62/27.96 | |
% 177.62/27.96 | | CLOSE: (16) is inconsistent.
% 177.62/27.96 | |
% 177.62/27.96 | Case 2:
% 177.62/27.96 | |
% 177.62/27.96 | | (17) all_56_1 = e2 | all_56_1 = e1 | all_56_1 = e0
% 177.62/27.96 | |
% 177.62/27.96 | | BETA: splitting (17) gives:
% 177.62/27.96 | |
% 177.62/27.96 | | Case 1:
% 177.62/27.96 | | |
% 177.62/27.96 | | | (18) all_56_1 = e2
% 177.62/27.96 | | |
% 177.62/27.96 | | | COMBINE_EQS: (5), (18) imply:
% 177.62/27.96 | | | (19) all_52_1 = e2
% 177.62/27.96 | | |
% 177.62/27.96 | | | REDUCE: (6), (19) imply:
% 177.62/27.96 | | | (20) op(e2, e2) = unit
% 177.62/27.96 | | |
% 177.62/27.96 | | | GROUND_INST: instantiating (3) with e0, unit, e2, e2, simplifying with
% 177.62/27.96 | | | (4), (20) gives:
% 177.62/27.96 | | | (21) unit = e0
% 177.62/27.96 | | |
% 177.62/27.96 | | | REF_CLOSE: (1), (3), (10), (11), (21) are inconsistent by sub-proof #393.
% 177.62/27.96 | | |
% 177.62/27.96 | | Case 2:
% 177.62/27.96 | | |
% 177.62/27.96 | | | (22) all_56_1 = e1 | all_56_1 = e0
% 177.62/27.96 | | |
% 177.62/27.96 | | | REF_CLOSE: (5), (9), (12), (22) are inconsistent by sub-proof #454.
% 177.62/27.96 | | |
% 177.62/27.96 | | End of split
% 177.62/27.96 | |
% 177.62/27.96 | End of split
% 177.62/27.96 |
% 177.62/27.96 End of proof
% 177.62/27.96
% 177.62/27.96 Sub-proof #393 shows that the following formulas are inconsistent:
% 177.62/27.96 ----------------------------------------------------------------
% 177.62/27.96 (1) op(e0, e0) = e3
% 177.62/27.96 (2) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 177.62/27.96 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 177.62/27.96 (3) unit = e0
% 177.62/27.96 (4) ~ (unit = e3)
% 177.62/27.96 (5) op(e0, unit) = e0
% 177.62/27.96
% 177.62/27.96 Begin of proof
% 177.62/27.96 |
% 177.62/27.96 | REDUCE: (3), (4) imply:
% 177.62/27.96 | (6) ~ (e3 = e0)
% 177.62/27.96 |
% 177.62/27.96 | SIMP: (6) implies:
% 177.62/27.96 | (7) ~ (e3 = e0)
% 177.62/27.96 |
% 177.62/27.96 | REDUCE: (3), (5) imply:
% 177.62/27.96 | (8) op(e0, e0) = e0
% 177.62/27.96 |
% 177.62/27.96 | GROUND_INST: instantiating (2) with e3, e0, e0, e0, simplifying with (1), (8)
% 177.62/27.96 | gives:
% 177.62/27.96 | (9) e3 = e0
% 177.62/27.96 |
% 177.62/27.96 | REDUCE: (7), (9) imply:
% 177.62/27.96 | (10) $false
% 177.62/27.96 |
% 177.62/27.96 | CLOSE: (10) is inconsistent.
% 177.62/27.96 |
% 177.62/27.96 End of proof
% 177.62/27.96
% 177.62/27.96 Sub-proof #394 shows that the following formulas are inconsistent:
% 177.62/27.96 ----------------------------------------------------------------
% 177.62/27.96 (1) all_63_6 = all_61_9
% 177.62/27.96 (2) ~ (all_22_1 = e1)
% 177.62/27.96 (3) ~ (all_61_9 = all_22_1)
% 177.62/27.96 (4) all_63_6 = e3 | all_63_6 = e2 | all_63_6 = e1 | all_63_6 = e0
% 177.62/27.96 (5) all_63_13 = e3 | all_63_13 = e2 | all_63_13 = e1 | all_63_13 = e0
% 177.62/27.96 (6) ~ (all_22_1 = e0)
% 177.62/27.96 (7) all_63_13 = all_22_1
% 177.62/27.96 (8) ~ (all_61_9 = e0)
% 177.62/27.96 (9) ~ (all_61_9 = e1)
% 177.62/27.96 (10) ~ (all_22_1 = e3)
% 177.62/27.96 (11) ~ (all_61_9 = e3)
% 177.62/27.96
% 177.62/27.96 Begin of proof
% 177.62/27.96 |
% 177.62/27.96 | BETA: splitting (5) gives:
% 177.62/27.96 |
% 177.62/27.96 | Case 1:
% 177.62/27.96 | |
% 177.62/27.96 | | (12) all_63_13 = e3
% 177.62/27.96 | |
% 177.62/27.96 | | COMBINE_EQS: (7), (12) imply:
% 177.62/27.96 | | (13) all_22_1 = e3
% 177.62/27.96 | |
% 177.62/27.96 | | REDUCE: (10), (13) imply:
% 177.62/27.96 | | (14) $false
% 177.62/27.96 | |
% 177.62/27.96 | | CLOSE: (14) is inconsistent.
% 177.62/27.96 | |
% 177.62/27.96 | Case 2:
% 177.62/27.96 | |
% 177.62/27.96 | | (15) all_63_13 = e2 | all_63_13 = e1 | all_63_13 = e0
% 177.62/27.96 | |
% 177.62/27.96 | | BETA: splitting (15) gives:
% 177.62/27.96 | |
% 177.62/27.96 | | Case 1:
% 177.62/27.96 | | |
% 177.62/27.96 | | | (16) all_63_13 = e2
% 177.62/27.96 | | |
% 177.62/27.96 | | | COMBINE_EQS: (7), (16) imply:
% 177.62/27.96 | | | (17) all_22_1 = e2
% 177.62/27.96 | | |
% 177.62/27.96 | | | REDUCE: (3), (17) imply:
% 177.62/27.96 | | | (18) ~ (all_61_9 = e2)
% 177.62/27.96 | | |
% 177.62/27.96 | | | REF_CLOSE: (1), (4), (8), (9), (11), (18) are inconsistent by sub-proof
% 177.62/27.96 | | | #395.
% 177.62/27.96 | | |
% 177.62/27.96 | | Case 2:
% 177.62/27.96 | | |
% 177.62/27.96 | | | (19) all_63_13 = e1 | all_63_13 = e0
% 177.62/27.96 | | |
% 177.62/27.96 | | | REF_CLOSE: (2), (6), (7), (19) are inconsistent by sub-proof #416.
% 177.62/27.96 | | |
% 177.62/27.96 | | End of split
% 177.62/27.96 | |
% 177.62/27.96 | End of split
% 177.62/27.96 |
% 177.62/27.96 End of proof
% 177.62/27.96
% 177.62/27.96 Sub-proof #395 shows that the following formulas are inconsistent:
% 177.62/27.96 ----------------------------------------------------------------
% 177.62/27.96 (1) all_63_6 = all_61_9
% 177.62/27.96 (2) ~ (all_61_9 = e2)
% 177.62/27.96 (3) all_63_6 = e3 | all_63_6 = e2 | all_63_6 = e1 | all_63_6 = e0
% 177.62/27.96 (4) ~ (all_61_9 = e0)
% 177.62/27.96 (5) ~ (all_61_9 = e1)
% 177.62/27.96 (6) ~ (all_61_9 = e3)
% 177.62/27.96
% 177.62/27.96 Begin of proof
% 177.62/27.96 |
% 177.62/27.96 | BETA: splitting (3) gives:
% 177.62/27.96 |
% 177.62/27.96 | Case 1:
% 177.62/27.96 | |
% 177.62/27.96 | | (7) all_63_6 = e3
% 177.62/27.96 | |
% 177.62/27.96 | | REF_CLOSE: (1), (6), (7) are inconsistent by sub-proof #396.
% 177.62/27.96 | |
% 177.62/27.96 | Case 2:
% 177.62/27.96 | |
% 177.62/27.96 | | (8) all_63_6 = e2 | all_63_6 = e1 | all_63_6 = e0
% 177.62/27.96 | |
% 177.62/27.96 | | REF_CLOSE: (1), (2), (4), (5), (8) are inconsistent by sub-proof #410.
% 177.62/27.96 | |
% 177.62/27.96 | End of split
% 177.62/27.96 |
% 177.62/27.96 End of proof
% 177.62/27.96
% 177.62/27.96 Sub-proof #396 shows that the following formulas are inconsistent:
% 177.62/27.96 ----------------------------------------------------------------
% 177.62/27.96 (1) all_63_6 = all_61_9
% 177.62/27.96 (2) all_63_6 = e3
% 177.62/27.96 (3) ~ (all_61_9 = e3)
% 177.62/27.96
% 177.62/27.96 Begin of proof
% 177.62/27.96 |
% 177.62/27.96 | COMBINE_EQS: (1), (2) imply:
% 177.62/27.96 | (4) all_61_9 = e3
% 177.62/27.96 |
% 177.62/27.96 | SIMP: (4) implies:
% 177.62/27.96 | (5) all_61_9 = e3
% 177.62/27.96 |
% 177.62/27.96 | REDUCE: (3), (5) imply:
% 177.62/27.96 | (6) $false
% 177.62/27.96 |
% 177.62/27.96 | CLOSE: (6) is inconsistent.
% 177.62/27.96 |
% 177.62/27.96 End of proof
% 177.62/27.96
% 177.62/27.96 Sub-proof #397 shows that the following formulas are inconsistent:
% 177.62/27.96 ----------------------------------------------------------------
% 177.62/27.96 (1) e2 = e1
% 177.62/27.96 (2) e2 = e0
% 177.62/27.96 (3) ~ (e1 = e0)
% 177.62/27.96
% 177.62/27.96 Begin of proof
% 177.62/27.96 |
% 177.62/27.96 | SIMP: (1) implies:
% 177.62/27.96 | (4) e2 = e1
% 177.62/27.96 |
% 177.62/27.96 | COMBINE_EQS: (2), (4) imply:
% 177.62/27.96 | (5) e1 = e0
% 177.62/27.96 |
% 177.62/27.96 | REDUCE: (3), (5) imply:
% 177.62/27.96 | (6) $false
% 177.62/27.96 |
% 177.62/27.96 | CLOSE: (6) is inconsistent.
% 177.62/27.96 |
% 177.62/27.96 End of proof
% 177.62/27.96
% 177.62/27.96 Sub-proof #398 shows that the following formulas are inconsistent:
% 177.62/27.96 ----------------------------------------------------------------
% 177.62/27.96 (1) unit = e2 | unit = e1 | unit = e0
% 177.62/27.96 (2) ~ (unit = e2)
% 177.62/27.96 (3) ~ (unit = e1)
% 177.62/27.96 (4) ~ (unit = e0)
% 177.62/27.96
% 177.62/27.96 Begin of proof
% 177.62/27.96 |
% 177.62/27.96 | BETA: splitting (1) gives:
% 177.62/27.96 |
% 177.62/27.96 | Case 1:
% 177.62/27.96 | |
% 177.62/27.96 | | (5) unit = e2
% 177.62/27.96 | |
% 177.62/27.96 | | REDUCE: (2), (5) imply:
% 177.62/27.96 | | (6) $false
% 177.62/27.96 | |
% 177.62/27.96 | | CLOSE: (6) is inconsistent.
% 177.62/27.96 | |
% 177.62/27.96 | Case 2:
% 177.62/27.96 | |
% 177.62/27.96 | | (7) unit = e1 | unit = e0
% 177.62/27.96 | |
% 177.62/27.96 | | REF_CLOSE: (3), (4), (7) are inconsistent by sub-proof #419.
% 177.62/27.96 | |
% 177.62/27.96 | End of split
% 177.62/27.96 |
% 177.62/27.96 End of proof
% 177.62/27.96
% 177.62/27.96 Sub-proof #399 shows that the following formulas are inconsistent:
% 177.62/27.96 ----------------------------------------------------------------
% 177.62/27.96 (1) ~ (all_61_8 = e0)
% 177.62/27.96 (2) ~ (all_36_1 = e1)
% 177.62/27.96 (3) all_63_2 = e3 | all_63_2 = e2 | all_63_2 = e1 | all_63_2 = e0
% 177.62/27.96 (4) all_63_3 = e3 | all_63_3 = e2 | all_63_3 = e1 | all_63_3 = e0
% 177.62/27.96 (5) ~ (all_61_8 = e3)
% 177.62/27.96 (6) all_63_12 = all_36_1
% 177.62/27.96 (7) ~ (all_36_1 = e3)
% 177.62/27.96 (8) ~ (all_36_1 = e0)
% 177.62/27.96 (9) ~ (all_61_8 = all_36_1)
% 177.62/27.96 (10) all_63_3 = all_36_1
% 177.62/27.96 (11) all_63_12 = e2 | all_63_12 = e1 | all_63_12 = e0
% 177.62/27.96 (12) ~ (all_61_8 = e1)
% 177.62/27.96 (13) all_63_2 = all_61_8
% 177.62/27.96
% 177.62/27.96 Begin of proof
% 177.62/27.96 |
% 177.62/27.96 | BETA: splitting (11) gives:
% 177.62/27.96 |
% 177.62/27.96 | Case 1:
% 177.62/27.96 | |
% 177.62/27.96 | | (14) all_63_12 = e2
% 177.62/27.96 | |
% 177.62/27.96 | | COMBINE_EQS: (6), (14) imply:
% 177.62/27.96 | | (15) all_36_1 = e2
% 177.62/27.96 | |
% 177.62/27.96 | | REDUCE: (9), (15) imply:
% 177.62/27.96 | | (16) ~ (all_61_8 = e2)
% 177.62/27.96 | |
% 177.62/27.96 | | REF_CLOSE: (1), (3), (5), (12), (13), (16) are inconsistent by sub-proof
% 177.62/27.96 | | #400.
% 177.62/27.96 | |
% 177.62/27.96 | Case 2:
% 177.62/27.96 | |
% 177.62/27.96 | | (17) ~ (all_63_12 = e2)
% 177.62/27.96 | |
% 177.62/27.96 | | REDUCE: (6), (17) imply:
% 177.62/27.96 | | (18) ~ (all_36_1 = e2)
% 177.62/27.96 | |
% 177.62/27.96 | | REF_CLOSE: (2), (4), (7), (8), (10), (18) are inconsistent by sub-proof
% 177.62/27.96 | | #446.
% 177.62/27.96 | |
% 177.62/27.96 | End of split
% 177.62/27.96 |
% 177.62/27.96 End of proof
% 177.62/27.96
% 177.62/27.96 Sub-proof #400 shows that the following formulas are inconsistent:
% 177.62/27.96 ----------------------------------------------------------------
% 177.62/27.96 (1) ~ (all_61_8 = e0)
% 177.62/27.96 (2) ~ (all_61_8 = e2)
% 177.62/27.96 (3) all_63_2 = e3 | all_63_2 = e2 | all_63_2 = e1 | all_63_2 = e0
% 177.62/27.96 (4) ~ (all_61_8 = e3)
% 177.78/27.96 (5) ~ (all_61_8 = e1)
% 177.78/27.96 (6) all_63_2 = all_61_8
% 177.78/27.96
% 177.78/27.96 Begin of proof
% 177.78/27.96 |
% 177.78/27.96 | BETA: splitting (3) gives:
% 177.78/27.96 |
% 177.78/27.96 | Case 1:
% 177.78/27.96 | |
% 177.78/27.96 | | (7) all_63_2 = e3
% 177.78/27.96 | |
% 177.78/27.96 | | COMBINE_EQS: (6), (7) imply:
% 177.78/27.96 | | (8) all_61_8 = e3
% 177.78/27.96 | |
% 177.78/27.96 | | REDUCE: (4), (8) imply:
% 177.78/27.96 | | (9) $false
% 177.78/27.96 | |
% 177.78/27.96 | | CLOSE: (9) is inconsistent.
% 177.78/27.96 | |
% 177.78/27.96 | Case 2:
% 177.78/27.96 | |
% 177.78/27.96 | | (10) all_63_2 = e2 | all_63_2 = e1 | all_63_2 = e0
% 177.78/27.96 | |
% 177.78/27.96 | | REF_CLOSE: (1), (2), (5), (6), (10) are inconsistent by sub-proof #401.
% 177.78/27.96 | |
% 177.78/27.96 | End of split
% 177.78/27.96 |
% 177.78/27.96 End of proof
% 177.78/27.96
% 177.78/27.96 Sub-proof #401 shows that the following formulas are inconsistent:
% 177.78/27.96 ----------------------------------------------------------------
% 177.78/27.96 (1) ~ (all_61_8 = e0)
% 177.78/27.96 (2) all_63_2 = e2 | all_63_2 = e1 | all_63_2 = e0
% 177.78/27.96 (3) ~ (all_61_8 = e2)
% 177.78/27.96 (4) ~ (all_61_8 = e1)
% 177.78/27.96 (5) all_63_2 = all_61_8
% 177.78/27.96
% 177.78/27.96 Begin of proof
% 177.78/27.96 |
% 177.78/27.96 | BETA: splitting (2) gives:
% 177.78/27.96 |
% 177.78/27.96 | Case 1:
% 177.78/27.96 | |
% 177.78/27.96 | | (6) all_63_2 = e2
% 177.78/27.96 | |
% 177.78/27.96 | | COMBINE_EQS: (5), (6) imply:
% 177.78/27.96 | | (7) all_61_8 = e2
% 177.78/27.96 | |
% 177.78/27.96 | | REDUCE: (3), (7) imply:
% 177.78/27.96 | | (8) $false
% 177.78/27.96 | |
% 177.78/27.96 | | CLOSE: (8) is inconsistent.
% 177.78/27.96 | |
% 177.78/27.96 | Case 2:
% 177.78/27.96 | |
% 177.78/27.96 | | (9) all_63_2 = e1 | all_63_2 = e0
% 177.78/27.96 | |
% 177.78/27.96 | | REF_CLOSE: (1), (4), (5), (9) are inconsistent by sub-proof #402.
% 177.78/27.96 | |
% 177.78/27.96 | End of split
% 177.78/27.96 |
% 177.78/27.96 End of proof
% 177.78/27.96
% 177.78/27.96 Sub-proof #402 shows that the following formulas are inconsistent:
% 177.78/27.96 ----------------------------------------------------------------
% 177.78/27.96 (1) all_63_2 = e1 | all_63_2 = e0
% 177.78/27.96 (2) all_63_2 = all_61_8
% 177.78/27.96 (3) ~ (all_61_8 = e1)
% 177.78/27.96 (4) ~ (all_61_8 = e0)
% 177.78/27.96
% 177.78/27.96 Begin of proof
% 177.78/27.96 |
% 177.78/27.96 | BETA: splitting (1) gives:
% 177.78/27.96 |
% 177.78/27.96 | Case 1:
% 177.78/27.96 | |
% 177.78/27.96 | | (5) all_63_2 = e1
% 177.78/27.96 | |
% 177.78/27.96 | | COMBINE_EQS: (2), (5) imply:
% 177.78/27.96 | | (6) all_61_8 = e1
% 177.78/27.96 | |
% 177.78/27.96 | | REDUCE: (3), (6) imply:
% 177.78/27.96 | | (7) $false
% 177.78/27.96 | |
% 177.78/27.96 | | CLOSE: (7) is inconsistent.
% 177.78/27.96 | |
% 177.78/27.96 | Case 2:
% 177.78/27.96 | |
% 177.78/27.96 | | (8) all_63_2 = e0
% 177.78/27.96 | |
% 177.78/27.96 | | COMBINE_EQS: (2), (8) imply:
% 177.78/27.96 | | (9) all_61_8 = e0
% 177.78/27.96 | |
% 177.78/27.96 | | REDUCE: (4), (9) imply:
% 177.78/27.96 | | (10) $false
% 177.78/27.96 | |
% 177.78/27.96 | | CLOSE: (10) is inconsistent.
% 177.78/27.96 | |
% 177.78/27.96 | End of split
% 177.78/27.96 |
% 177.78/27.96 End of proof
% 177.78/27.96
% 177.78/27.96 Sub-proof #403 shows that the following formulas are inconsistent:
% 177.78/27.96 ----------------------------------------------------------------
% 177.78/27.96 (1) e2 = e1
% 177.78/27.96 (2) e2 = e0
% 177.78/27.96 (3) ~ (e1 = e0)
% 177.78/27.96
% 177.78/27.96 Begin of proof
% 177.78/27.96 |
% 177.78/27.96 | COMBINE_EQS: (1), (2) imply:
% 177.78/27.96 | (4) e1 = e0
% 177.78/27.96 |
% 177.78/27.96 | SIMP: (4) implies:
% 177.78/27.96 | (5) e1 = e0
% 177.78/27.96 |
% 177.78/27.96 | REDUCE: (3), (5) imply:
% 177.78/27.96 | (6) $false
% 177.78/27.96 |
% 177.78/27.96 | CLOSE: (6) is inconsistent.
% 177.78/27.96 |
% 177.78/27.96 End of proof
% 177.78/27.96
% 177.78/27.96 Sub-proof #404 shows that the following formulas are inconsistent:
% 177.78/27.96 ----------------------------------------------------------------
% 177.78/27.96 (1) op(e3, all_52_0) = unit
% 177.78/27.96 (2) ~ (all_52_0 = all_52_3)
% 177.78/27.96 (3) all_58_0 = all_52_0
% 177.78/27.96 (4) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 177.78/27.96 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 177.78/27.96 (5) op(all_36_1, e3) = e0
% 177.78/27.96 (6) op(e3, e0) = all_36_1
% 177.78/27.96 (7) op(unit, e3) = e3
% 177.78/27.96 (8) all_58_0 = e0
% 177.78/27.96 (9) all_58_3 = all_52_3
% 177.78/27.96 (10) all_58_3 = e3
% 177.78/27.96
% 177.78/27.96 Begin of proof
% 177.78/27.96 |
% 177.78/27.96 | COMBINE_EQS: (3), (8) imply:
% 177.78/27.96 | (11) all_52_0 = e0
% 177.78/27.96 |
% 177.78/27.96 | SIMP: (11) implies:
% 177.78/27.96 | (12) all_52_0 = e0
% 177.78/27.96 |
% 177.78/27.96 | COMBINE_EQS: (9), (10) imply:
% 177.78/27.96 | (13) all_52_3 = e3
% 177.78/27.96 |
% 177.78/27.96 | REF_CLOSE: (1), (2), (4), (5), (6), (7), (12), (13) are inconsistent by
% 177.78/27.96 | sub-proof #405.
% 177.78/27.96 |
% 177.78/27.96 End of proof
% 177.78/27.96
% 177.78/27.96 Sub-proof #405 shows that the following formulas are inconsistent:
% 177.78/27.96 ----------------------------------------------------------------
% 177.78/27.96 (1) op(e3, all_52_0) = unit
% 177.78/27.96 (2) all_52_3 = e3
% 177.78/27.96 (3) ~ (all_52_0 = all_52_3)
% 177.78/27.96 (4) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 177.78/27.96 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 177.78/27.96 (5) all_52_0 = e0
% 177.78/27.96 (6) op(all_36_1, e3) = e0
% 177.78/27.96 (7) op(e3, e0) = all_36_1
% 177.78/27.96 (8) op(unit, e3) = e3
% 177.78/27.96
% 177.78/27.96 Begin of proof
% 177.78/27.96 |
% 177.78/27.96 | REDUCE: (2), (3), (5) imply:
% 177.78/27.96 | (9) ~ (e3 = e0)
% 177.78/27.96 |
% 177.78/27.96 | SIMP: (9) implies:
% 177.78/27.96 | (10) ~ (e3 = e0)
% 177.78/27.96 |
% 177.78/27.96 | REDUCE: (1), (5) imply:
% 177.78/27.96 | (11) op(e3, e0) = unit
% 177.78/27.96 |
% 177.78/27.96 | REF_CLOSE: (4), (6), (7), (8), (10), (11) are inconsistent by sub-proof #466.
% 177.78/27.96 |
% 177.78/27.96 End of proof
% 177.78/27.96
% 177.78/27.96 Sub-proof #406 shows that the following formulas are inconsistent:
% 177.78/27.96 ----------------------------------------------------------------
% 177.78/27.96 (1) op(all_22_1, e2) = e0
% 177.78/27.96 (2) ~ (all_52_1 = all_52_3)
% 177.78/27.96 (3) all_52_3 = e2
% 177.78/27.96 (4) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 177.78/27.96 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 177.78/27.96 (5) op(e2, all_52_1) = unit
% 177.78/27.96 (6) op(e2, e0) = all_22_1
% 177.78/27.96 (7) all_52_1 = e0
% 177.78/27.96 (8) op(unit, e2) = e2
% 177.78/27.96
% 177.78/27.96 Begin of proof
% 177.78/27.96 |
% 177.78/27.96 | REDUCE: (2), (3), (7) imply:
% 177.78/27.96 | (9) ~ (e2 = e0)
% 177.78/27.96 |
% 177.78/27.96 | SIMP: (9) implies:
% 177.78/27.96 | (10) ~ (e2 = e0)
% 177.78/27.96 |
% 177.78/27.96 | REDUCE: (5), (7) imply:
% 177.78/27.96 | (11) op(e2, e0) = unit
% 177.78/27.96 |
% 177.78/27.96 | REF_CLOSE: (1), (4), (6), (8), (10), (11) are inconsistent by sub-proof #407.
% 177.78/27.96 |
% 177.78/27.96 End of proof
% 177.78/27.96
% 177.78/27.96 Sub-proof #407 shows that the following formulas are inconsistent:
% 177.78/27.96 ----------------------------------------------------------------
% 177.78/27.96 (1) op(all_22_1, e2) = e0
% 177.78/27.96 (2) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 177.78/27.96 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 177.78/27.96 (3) ~ (e2 = e0)
% 177.78/27.96 (4) op(e2, e0) = all_22_1
% 177.78/27.96 (5) op(e2, e0) = unit
% 177.78/27.96 (6) op(unit, e2) = e2
% 177.78/27.96
% 177.78/27.96 Begin of proof
% 177.78/27.96 |
% 177.78/27.96 | GROUND_INST: instantiating (2) with all_22_1, unit, e0, e2, simplifying with
% 177.78/27.96 | (4), (5) gives:
% 177.78/27.96 | (7) all_22_1 = unit
% 177.78/27.96 |
% 177.78/27.96 | REDUCE: (1), (7) imply:
% 177.78/27.96 | (8) op(unit, e2) = e0
% 177.78/27.96 |
% 177.78/27.96 | GROUND_INST: instantiating (2) with e2, e0, e2, unit, simplifying with (6),
% 177.78/27.96 | (8) gives:
% 177.78/27.96 | (9) e2 = e0
% 177.78/27.96 |
% 177.78/27.96 | REDUCE: (3), (9) imply:
% 177.78/27.96 | (10) $false
% 177.78/27.96 |
% 177.78/27.96 | CLOSE: (10) is inconsistent.
% 177.78/27.96 |
% 177.78/27.96 End of proof
% 177.78/27.96
% 177.78/27.96 Sub-proof #408 shows that the following formulas are inconsistent:
% 177.78/27.96 ----------------------------------------------------------------
% 177.78/27.96 (1) all_63_6 = e1 | all_63_6 = e0
% 177.78/27.96 (2) all_63_6 = all_61_9
% 177.78/27.96 (3) ~ (all_61_9 = e1)
% 177.78/27.96 (4) ~ (all_61_9 = e0)
% 177.78/27.96
% 177.78/27.96 Begin of proof
% 177.78/27.96 |
% 177.78/27.96 | BETA: splitting (1) gives:
% 177.78/27.96 |
% 177.78/27.96 | Case 1:
% 177.78/27.96 | |
% 177.78/27.96 | | (5) all_63_6 = e1
% 177.78/27.96 | |
% 177.78/27.96 | | REF_CLOSE: (2), (3), (5) are inconsistent by sub-proof #412.
% 177.78/27.96 | |
% 177.78/27.96 | Case 2:
% 177.78/27.96 | |
% 177.78/27.96 | | (6) all_63_6 = e0
% 177.78/27.96 | |
% 177.78/27.96 | | REF_CLOSE: (2), (4), (6) are inconsistent by sub-proof #411.
% 177.78/27.96 | |
% 177.78/27.96 | End of split
% 177.78/27.96 |
% 177.78/27.96 End of proof
% 177.78/27.96
% 177.78/27.96 Sub-proof #409 shows that the following formulas are inconsistent:
% 177.78/27.96 ----------------------------------------------------------------
% 177.78/27.96 (1) all_63_6 = all_61_9
% 177.78/27.96 (2) ~ (all_61_1 = all_61_9)
% 177.78/27.96 (3) all_63_4 = all_61_1
% 177.78/27.96 (4) all_63_4 = e2 | all_63_4 = e1 | all_63_4 = e0
% 177.78/27.96 (5) all_63_6 = e2 | all_63_6 = e1 | all_63_6 = e0
% 177.78/27.96 (6) ~ (all_61_9 = e0)
% 177.78/27.96 (7) ~ (all_61_1 = e1)
% 177.78/27.96 (8) ~ (all_61_1 = e0)
% 177.78/27.96 (9) ~ (all_61_9 = e1)
% 177.78/27.96
% 177.78/27.96 Begin of proof
% 177.78/27.96 |
% 177.78/27.96 | BETA: splitting (4) gives:
% 177.78/27.96 |
% 177.78/27.96 | Case 1:
% 177.78/27.96 | |
% 177.78/27.96 | | (10) all_63_4 = e2
% 177.78/27.96 | |
% 177.78/27.96 | | COMBINE_EQS: (3), (10) imply:
% 177.78/27.96 | | (11) all_61_1 = e2
% 177.78/27.96 | |
% 177.78/27.96 | | REDUCE: (2), (11) imply:
% 177.78/27.96 | | (12) ~ (all_61_9 = e2)
% 177.78/27.96 | |
% 177.78/27.96 | | SIMP: (12) implies:
% 177.78/27.96 | | (13) ~ (all_61_9 = e2)
% 177.78/27.96 | |
% 177.78/27.96 | | REF_CLOSE: (1), (5), (6), (9), (13) are inconsistent by sub-proof #410.
% 177.78/27.96 | |
% 177.78/27.96 | Case 2:
% 177.78/27.96 | |
% 177.78/27.96 | | (14) all_63_4 = e1 | all_63_4 = e0
% 177.78/27.96 | |
% 177.78/27.96 | | REF_CLOSE: (3), (7), (8), (14) are inconsistent by sub-proof #472.
% 177.78/27.96 | |
% 177.78/27.96 | End of split
% 177.78/27.96 |
% 177.78/27.96 End of proof
% 177.78/27.96
% 177.78/27.96 Sub-proof #410 shows that the following formulas are inconsistent:
% 177.78/27.96 ----------------------------------------------------------------
% 177.78/27.96 (1) all_63_6 = all_61_9
% 177.78/27.96 (2) ~ (all_61_9 = e2)
% 177.78/27.96 (3) all_63_6 = e2 | all_63_6 = e1 | all_63_6 = e0
% 177.78/27.96 (4) ~ (all_61_9 = e0)
% 177.78/27.96 (5) ~ (all_61_9 = e1)
% 177.78/27.96
% 177.78/27.96 Begin of proof
% 177.78/27.96 |
% 177.78/27.96 | BETA: splitting (3) gives:
% 177.78/27.96 |
% 177.78/27.96 | Case 1:
% 177.78/27.96 | |
% 177.78/27.96 | | (6) all_63_6 = e2
% 177.78/27.96 | |
% 177.78/27.96 | | REF_CLOSE: (1), (2), (6) are inconsistent by sub-proof #413.
% 177.78/27.96 | |
% 177.78/27.96 | Case 2:
% 177.78/27.96 | |
% 177.78/27.96 | | (7) all_63_6 = e1 | all_63_6 = e0
% 177.78/27.96 | |
% 177.78/27.96 | | BETA: splitting (7) gives:
% 177.78/27.96 | |
% 177.78/27.96 | | Case 1:
% 177.78/27.96 | | |
% 177.78/27.96 | | | (8) all_63_6 = e1
% 177.78/27.96 | | |
% 177.78/27.96 | | | REF_CLOSE: (1), (5), (8) are inconsistent by sub-proof #412.
% 177.78/27.96 | | |
% 177.78/27.96 | | Case 2:
% 177.78/27.96 | | |
% 177.78/27.96 | | | (9) all_63_6 = e0
% 177.78/27.96 | | |
% 177.78/27.96 | | | REF_CLOSE: (1), (4), (9) are inconsistent by sub-proof #411.
% 177.78/27.96 | | |
% 177.78/27.96 | | End of split
% 177.78/27.96 | |
% 177.78/27.96 | End of split
% 177.78/27.96 |
% 177.78/27.96 End of proof
% 177.78/27.96
% 177.78/27.96 Sub-proof #411 shows that the following formulas are inconsistent:
% 177.78/27.96 ----------------------------------------------------------------
% 177.78/27.96 (1) all_63_6 = all_61_9
% 177.78/27.96 (2) all_63_6 = e0
% 177.78/27.96 (3) ~ (all_61_9 = e0)
% 177.78/27.96
% 177.78/27.96 Begin of proof
% 177.78/27.96 |
% 177.78/27.96 | COMBINE_EQS: (1), (2) imply:
% 177.78/27.96 | (4) all_61_9 = e0
% 177.78/27.96 |
% 177.78/27.96 | SIMP: (4) implies:
% 177.78/27.96 | (5) all_61_9 = e0
% 177.78/27.96 |
% 177.78/27.96 | REDUCE: (3), (5) imply:
% 177.78/27.96 | (6) $false
% 177.78/27.96 |
% 177.78/27.96 | CLOSE: (6) is inconsistent.
% 177.78/27.96 |
% 177.78/27.96 End of proof
% 177.78/27.96
% 177.78/27.96 Sub-proof #412 shows that the following formulas are inconsistent:
% 177.78/27.96 ----------------------------------------------------------------
% 177.78/27.96 (1) all_63_6 = all_61_9
% 177.78/27.96 (2) all_63_6 = e1
% 177.78/27.96 (3) ~ (all_61_9 = e1)
% 177.78/27.96
% 177.78/27.96 Begin of proof
% 177.78/27.96 |
% 177.78/27.96 | COMBINE_EQS: (1), (2) imply:
% 177.78/27.96 | (4) all_61_9 = e1
% 177.78/27.96 |
% 177.78/27.96 | SIMP: (4) implies:
% 177.78/27.96 | (5) all_61_9 = e1
% 177.78/27.96 |
% 177.78/27.96 | REDUCE: (3), (5) imply:
% 177.78/27.96 | (6) $false
% 177.78/27.96 |
% 177.78/27.96 | CLOSE: (6) is inconsistent.
% 177.78/27.96 |
% 177.78/27.96 End of proof
% 177.78/27.96
% 177.78/27.96 Sub-proof #413 shows that the following formulas are inconsistent:
% 177.78/27.96 ----------------------------------------------------------------
% 177.78/27.96 (1) all_63_6 = all_61_9
% 177.78/27.96 (2) all_63_6 = e2
% 177.78/27.96 (3) ~ (all_61_9 = e2)
% 177.78/27.96
% 177.78/27.96 Begin of proof
% 177.78/27.96 |
% 177.78/27.96 | COMBINE_EQS: (1), (2) imply:
% 177.78/27.96 | (4) all_61_9 = e2
% 177.78/27.96 |
% 177.78/27.96 | SIMP: (4) implies:
% 177.78/27.96 | (5) all_61_9 = e2
% 177.78/27.96 |
% 177.78/27.96 | REDUCE: (3), (5) imply:
% 177.78/27.96 | (6) $false
% 177.78/27.96 |
% 177.78/27.96 | CLOSE: (6) is inconsistent.
% 177.78/27.96 |
% 177.78/27.96 End of proof
% 177.78/27.96
% 177.78/27.96 Sub-proof #414 shows that the following formulas are inconsistent:
% 177.78/27.96 ----------------------------------------------------------------
% 177.78/27.96 (1) ~ (all_22_1 = e1)
% 177.78/27.96 (2) all_63_13 = e3 | all_63_13 = e2 | all_63_13 = e1 | all_63_13 = e0
% 177.78/27.96 (3) ~ (all_22_1 = e0)
% 177.78/27.96 (4) all_63_13 = all_22_1
% 177.78/27.96 (5) ~ (all_22_1 = e2)
% 177.78/27.96 (6) ~ (all_22_1 = e3)
% 177.78/27.96
% 177.78/27.96 Begin of proof
% 177.78/27.96 |
% 177.78/27.96 | BETA: splitting (2) gives:
% 177.78/27.96 |
% 177.78/27.96 | Case 1:
% 177.78/27.96 | |
% 177.78/27.96 | | (7) all_63_13 = e3
% 177.78/27.96 | |
% 177.78/27.96 | | COMBINE_EQS: (4), (7) imply:
% 177.78/27.96 | | (8) all_22_1 = e3
% 177.78/27.96 | |
% 177.78/27.96 | | REDUCE: (6), (8) imply:
% 177.78/27.96 | | (9) $false
% 177.78/27.96 | |
% 177.78/27.96 | | CLOSE: (9) is inconsistent.
% 177.78/27.96 | |
% 177.78/27.96 | Case 2:
% 177.78/27.96 | |
% 177.78/27.96 | | (10) all_63_13 = e2 | all_63_13 = e1 | all_63_13 = e0
% 177.78/27.96 | |
% 177.78/27.96 | | REF_CLOSE: (1), (3), (4), (5), (10) are inconsistent by sub-proof #415.
% 177.78/27.96 | |
% 177.78/27.96 | End of split
% 177.78/27.96 |
% 177.78/27.96 End of proof
% 177.78/27.96
% 177.78/27.96 Sub-proof #415 shows that the following formulas are inconsistent:
% 177.78/27.96 ----------------------------------------------------------------
% 177.78/27.96 (1) ~ (all_22_1 = e1)
% 177.78/27.96 (2) all_63_13 = e2 | all_63_13 = e1 | all_63_13 = e0
% 177.78/27.96 (3) ~ (all_22_1 = e0)
% 177.78/27.96 (4) all_63_13 = all_22_1
% 177.78/27.96 (5) ~ (all_22_1 = e2)
% 177.78/27.96
% 177.78/27.96 Begin of proof
% 177.78/27.96 |
% 177.78/27.96 | BETA: splitting (2) gives:
% 177.78/27.96 |
% 177.78/27.96 | Case 1:
% 177.78/27.96 | |
% 177.78/27.96 | | (6) all_63_13 = e2
% 177.78/27.96 | |
% 177.78/27.96 | | COMBINE_EQS: (4), (6) imply:
% 177.78/27.96 | | (7) all_22_1 = e2
% 177.78/27.96 | |
% 177.78/27.96 | | SIMP: (7) implies:
% 177.78/27.96 | | (8) all_22_1 = e2
% 177.78/27.96 | |
% 177.78/27.96 | | REDUCE: (5), (8) imply:
% 177.78/27.96 | | (9) $false
% 177.78/27.96 | |
% 177.78/27.96 | | CLOSE: (9) is inconsistent.
% 177.78/27.96 | |
% 177.78/27.96 | Case 2:
% 177.78/27.96 | |
% 177.78/27.96 | | (10) all_63_13 = e1 | all_63_13 = e0
% 177.78/27.96 | |
% 177.78/27.96 | | REF_CLOSE: (1), (3), (4), (10) are inconsistent by sub-proof #416.
% 177.78/27.96 | |
% 177.78/27.96 | End of split
% 177.78/27.96 |
% 177.78/27.96 End of proof
% 177.78/27.96
% 177.78/27.96 Sub-proof #416 shows that the following formulas are inconsistent:
% 177.78/27.96 ----------------------------------------------------------------
% 177.78/27.96 (1) all_63_13 = e1 | all_63_13 = e0
% 177.78/27.96 (2) all_63_13 = all_22_1
% 177.78/27.96 (3) ~ (all_22_1 = e1)
% 177.78/27.96 (4) ~ (all_22_1 = e0)
% 177.78/27.96
% 177.78/27.96 Begin of proof
% 177.78/27.96 |
% 177.78/27.96 | BETA: splitting (1) gives:
% 177.78/27.96 |
% 177.78/27.96 | Case 1:
% 177.78/27.96 | |
% 177.78/27.96 | | (5) all_63_13 = e1
% 177.78/27.96 | |
% 177.78/27.96 | | COMBINE_EQS: (2), (5) imply:
% 177.78/27.96 | | (6) all_22_1 = e1
% 177.78/27.96 | |
% 177.78/27.96 | | REDUCE: (3), (6) imply:
% 177.78/27.96 | | (7) $false
% 177.78/27.96 | |
% 177.78/27.96 | | CLOSE: (7) is inconsistent.
% 177.78/27.96 | |
% 177.78/27.96 | Case 2:
% 177.78/27.96 | |
% 177.78/27.96 | | (8) all_63_13 = e0
% 177.78/27.96 | |
% 177.78/27.96 | | COMBINE_EQS: (2), (8) imply:
% 177.78/27.96 | | (9) all_22_1 = e0
% 177.78/27.96 | |
% 177.78/27.96 | | REDUCE: (4), (9) imply:
% 177.78/27.96 | | (10) $false
% 177.78/27.96 | |
% 177.78/27.96 | | CLOSE: (10) is inconsistent.
% 177.78/27.96 | |
% 177.78/27.96 | End of split
% 177.78/27.96 |
% 177.78/27.96 End of proof
% 177.78/27.96
% 177.78/27.96 Sub-proof #417 shows that the following formulas are inconsistent:
% 177.78/27.96 ----------------------------------------------------------------
% 177.78/27.96 (1) all_56_2 = e3 | all_56_2 = e2 | all_56_2 = e1 | all_56_2 = e0
% 177.78/27.96 (2) all_56_2 = all_52_2
% 177.78/27.96 (3) op(e3, all_52_0) = unit
% 177.78/27.96 (4) all_58_0 = all_52_0
% 177.78/27.97 (5) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 177.78/27.97 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 177.78/27.97 (6) ~ (all_52_2 = e0)
% 177.78/27.97 (7) op(e2, unit) = e2
% 177.78/27.97 (8) ~ (all_61_4 = e0)
% 177.78/27.97 (9) op(unit, e3) = e3
% 177.78/27.97 (10) ~ (all_61_4 = e1)
% 177.78/27.97 (11) op(e1, e1) = e1
% 177.78/27.97 (12) ~ (all_52_2 = e2)
% 177.78/27.97 (13) all_58_2 = all_52_2
% 177.78/27.97 (14) all_63_1 = all_61_4
% 177.78/27.97 (15) op(e3, unit) = e3
% 177.78/27.97 (16) ~ (all_61_4 = all_40_1)
% 177.78/27.97 (17) all_63_1 = e3 | all_63_1 = e2 | all_63_1 = e1 | all_63_1 = e0
% 177.78/27.97 (18) op(e3, e1) = all_40_1
% 177.78/27.97 (19) ~ (all_58_2 = e3) | all_58_0 = e1
% 177.78/27.97 (20) ~ (all_52_0 = all_52_2)
% 177.78/27.97 (21) op(e1, all_52_2) = unit
% 177.78/27.97 (22) op(e2, e1) = all_61_9
% 177.78/27.97 (23) op(all_40_1, e3) = e1
% 177.78/27.97 (24) ~ (all_61_4 = all_61_9)
% 177.78/27.97
% 177.78/27.97 Begin of proof
% 177.78/27.97 |
% 177.78/27.97 | BETA: splitting (19) gives:
% 177.78/27.97 |
% 177.78/27.97 | Case 1:
% 177.78/27.97 | |
% 177.78/27.97 | | (25) ~ (all_58_2 = e3)
% 177.78/27.97 | |
% 177.78/27.97 | | REDUCE: (13), (25) imply:
% 177.78/27.97 | | (26) ~ (all_52_2 = e3)
% 177.78/27.97 | |
% 177.78/27.97 | | BETA: splitting (1) gives:
% 177.78/27.97 | |
% 177.78/27.97 | | Case 1:
% 177.78/27.97 | | |
% 177.78/27.97 | | | (27) all_56_2 = e3
% 177.78/27.97 | | |
% 177.78/27.97 | | | REF_CLOSE: (2), (26), (27) are inconsistent by sub-proof #482.
% 177.78/27.97 | | |
% 177.78/27.97 | | Case 2:
% 177.78/27.97 | | |
% 177.78/27.97 | | | (28) all_56_2 = e2 | all_56_2 = e1 | all_56_2 = e0
% 177.78/27.97 | | |
% 177.78/27.97 | | | BETA: splitting (28) gives:
% 177.78/27.97 | | |
% 177.78/27.97 | | | Case 1:
% 177.78/27.97 | | | |
% 177.78/27.97 | | | | (29) all_56_2 = e2
% 177.78/27.97 | | | |
% 177.78/27.97 | | | | REF_CLOSE: (2), (12), (29) are inconsistent by sub-proof #481.
% 177.78/27.97 | | | |
% 177.78/27.97 | | | Case 2:
% 177.78/27.97 | | | |
% 177.78/27.97 | | | | (30) all_56_2 = e1 | all_56_2 = e0
% 177.78/27.97 | | | |
% 177.78/27.97 | | | | BETA: splitting (30) gives:
% 177.78/27.97 | | | |
% 177.78/27.97 | | | | Case 1:
% 177.78/27.97 | | | | |
% 177.78/27.97 | | | | | (31) all_56_2 = e1
% 177.78/27.97 | | | | |
% 177.78/27.97 | | | | | COMBINE_EQS: (2), (31) imply:
% 177.78/27.97 | | | | | (32) all_52_2 = e1
% 177.78/27.97 | | | | |
% 177.78/27.97 | | | | | SIMP: (32) implies:
% 177.78/27.97 | | | | | (33) all_52_2 = e1
% 177.78/27.97 | | | | |
% 177.78/27.97 | | | | | REDUCE: (21), (33) imply:
% 177.78/27.97 | | | | | (34) op(e1, e1) = unit
% 177.78/27.97 | | | | |
% 177.78/27.97 | | | | | GROUND_INST: instantiating (5) with e1, unit, e1, e1, simplifying with
% 177.78/27.97 | | | | | (11), (34) gives:
% 177.78/27.97 | | | | | (35) unit = e1
% 177.78/27.97 | | | | |
% 177.78/27.97 | | | | | REDUCE: (15), (35) imply:
% 177.78/27.97 | | | | | (36) op(e3, e1) = e3
% 177.78/27.97 | | | | |
% 177.78/27.97 | | | | | REDUCE: (7), (35) imply:
% 177.78/27.97 | | | | | (37) op(e2, e1) = e2
% 177.78/27.97 | | | | |
% 177.78/27.97 | | | | | GROUND_INST: instantiating (5) with all_61_9, e2, e1, e2, simplifying
% 177.78/27.97 | | | | | with (22), (37) gives:
% 177.78/27.97 | | | | | (38) all_61_9 = e2
% 177.78/27.97 | | | | |
% 177.78/27.97 | | | | | GROUND_INST: instantiating (5) with all_40_1, e3, e1, e3, simplifying
% 177.78/27.97 | | | | | with (18), (36) gives:
% 177.78/27.97 | | | | | (39) all_40_1 = e3
% 177.78/27.97 | | | | |
% 177.78/27.97 | | | | | REDUCE: (24), (38) imply:
% 177.78/27.97 | | | | | (40) ~ (all_61_4 = e2)
% 177.78/27.97 | | | | |
% 177.78/27.97 | | | | | REDUCE: (16), (39) imply:
% 177.78/27.97 | | | | | (41) ~ (all_61_4 = e3)
% 177.78/27.97 | | | | |
% 177.78/27.97 | | | | | REF_CLOSE: (8), (10), (14), (17), (40), (41) are inconsistent by
% 177.78/27.97 | | | | | sub-proof #418.
% 177.78/27.97 | | | | |
% 177.78/27.97 | | | | Case 2:
% 177.78/27.97 | | | | |
% 177.78/27.97 | | | | | (42) all_56_2 = e0
% 177.78/27.97 | | | | |
% 177.78/27.97 | | | | | REF_CLOSE: (2), (6), (42) are inconsistent by sub-proof #480.
% 177.78/27.97 | | | | |
% 177.78/27.97 | | | | End of split
% 177.78/27.97 | | | |
% 177.78/27.97 | | | End of split
% 177.78/27.97 | | |
% 177.78/27.97 | | End of split
% 177.78/27.97 | |
% 177.78/27.97 | Case 2:
% 177.78/27.97 | |
% 177.78/27.97 | | (43) all_58_2 = e3
% 177.78/27.97 | | (44) all_58_0 = e1
% 177.78/27.97 | |
% 177.78/27.97 | | REF_CLOSE: (3), (4), (5), (9), (13), (18), (20), (23), (43), (44) are
% 177.78/27.97 | | inconsistent by sub-proof #483.
% 177.78/27.97 | |
% 177.78/27.97 | End of split
% 177.78/27.97 |
% 177.78/27.97 End of proof
% 177.78/27.97
% 177.78/27.97 Sub-proof #418 shows that the following formulas are inconsistent:
% 177.78/27.97 ----------------------------------------------------------------
% 177.78/27.97 (1) ~ (all_61_4 = e2)
% 177.78/27.97 (2) ~ (all_61_4 = e0)
% 177.78/27.97 (3) ~ (all_61_4 = e1)
% 177.78/27.97 (4) all_63_1 = all_61_4
% 177.78/27.97 (5) ~ (all_61_4 = e3)
% 177.78/27.97 (6) all_63_1 = e3 | all_63_1 = e2 | all_63_1 = e1 | all_63_1 = e0
% 177.78/27.97
% 177.78/27.97 Begin of proof
% 177.78/27.97 |
% 177.78/27.97 | BETA: splitting (6) gives:
% 177.78/27.97 |
% 177.78/27.97 | Case 1:
% 177.78/27.97 | |
% 177.78/27.97 | | (7) all_63_1 = e3
% 177.78/27.97 | |
% 177.78/27.97 | | COMBINE_EQS: (4), (7) imply:
% 177.78/27.97 | | (8) all_61_4 = e3
% 177.78/27.97 | |
% 177.78/27.97 | | REDUCE: (5), (8) imply:
% 177.78/27.97 | | (9) $false
% 177.78/27.97 | |
% 177.78/27.97 | | CLOSE: (9) is inconsistent.
% 177.78/27.97 | |
% 177.78/27.97 | Case 2:
% 177.78/27.97 | |
% 177.78/27.97 | | (10) all_63_1 = e2 | all_63_1 = e1 | all_63_1 = e0
% 177.78/27.97 | |
% 177.78/27.97 | | REF_CLOSE: (1), (2), (3), (4), (10) are inconsistent by sub-proof #485.
% 177.78/27.97 | |
% 177.78/27.97 | End of split
% 177.78/27.97 |
% 177.78/27.97 End of proof
% 177.78/27.97
% 177.78/27.97 Sub-proof #419 shows that the following formulas are inconsistent:
% 177.78/27.97 ----------------------------------------------------------------
% 177.78/27.97 (1) unit = e1 | unit = e0
% 177.78/27.97 (2) ~ (unit = e1)
% 177.78/27.97 (3) ~ (unit = e0)
% 177.78/27.97
% 177.78/27.97 Begin of proof
% 177.78/27.97 |
% 177.78/27.97 | BETA: splitting (1) gives:
% 177.78/27.97 |
% 177.78/27.97 | Case 1:
% 177.78/27.97 | |
% 177.78/27.97 | | (4) unit = e1
% 177.78/27.97 | |
% 177.78/27.97 | | REDUCE: (2), (4) imply:
% 177.78/27.97 | | (5) $false
% 177.78/27.97 | |
% 177.78/27.97 | | CLOSE: (5) is inconsistent.
% 177.78/27.97 | |
% 177.78/27.97 | Case 2:
% 177.78/27.97 | |
% 177.78/27.97 | | (6) unit = e0
% 177.78/27.97 | |
% 177.78/27.97 | | REDUCE: (3), (6) imply:
% 177.78/27.97 | | (7) $false
% 177.78/27.97 | |
% 177.78/27.97 | | CLOSE: (7) is inconsistent.
% 177.78/27.97 | |
% 177.78/27.97 | End of split
% 177.78/27.97 |
% 177.78/27.97 End of proof
% 177.78/27.97
% 177.78/27.97 Sub-proof #420 shows that the following formulas are inconsistent:
% 177.78/27.97 ----------------------------------------------------------------
% 177.78/27.97 (1) all_63_12 = e1 | all_63_12 = e0
% 177.78/27.97 (2) all_63_12 = all_61_3
% 177.78/27.97 (3) ~ (all_61_3 = e1)
% 177.78/27.97 (4) ~ (all_61_3 = e0)
% 177.78/27.97
% 177.78/27.97 Begin of proof
% 177.78/27.97 |
% 177.78/27.97 | BETA: splitting (1) gives:
% 177.78/27.97 |
% 177.78/27.97 | Case 1:
% 177.78/27.97 | |
% 177.78/27.97 | | (5) all_63_12 = e1
% 177.78/27.97 | |
% 177.78/27.97 | | REF_CLOSE: (2), (3), (5) are inconsistent by sub-proof #421.
% 177.78/27.97 | |
% 177.78/27.97 | Case 2:
% 177.78/27.97 | |
% 177.78/27.97 | | (6) all_63_12 = e0
% 177.78/27.97 | |
% 177.78/27.97 | | COMBINE_EQS: (2), (6) imply:
% 177.78/27.97 | | (7) all_61_3 = e0
% 177.78/27.97 | |
% 177.78/27.97 | | SIMP: (7) implies:
% 177.78/27.97 | | (8) all_61_3 = e0
% 177.78/27.97 | |
% 177.78/27.97 | | REDUCE: (4), (8) imply:
% 177.78/27.97 | | (9) $false
% 177.78/27.97 | |
% 177.78/27.97 | | CLOSE: (9) is inconsistent.
% 177.78/27.97 | |
% 177.78/27.97 | End of split
% 177.78/27.97 |
% 177.78/27.97 End of proof
% 177.78/27.97
% 177.78/27.97 Sub-proof #421 shows that the following formulas are inconsistent:
% 177.78/27.97 ----------------------------------------------------------------
% 177.78/27.97 (1) all_63_12 = all_61_3
% 177.78/27.97 (2) all_63_12 = e1
% 177.78/27.97 (3) ~ (all_61_3 = e1)
% 177.78/27.97
% 177.78/27.97 Begin of proof
% 177.78/27.97 |
% 177.78/27.97 | COMBINE_EQS: (1), (2) imply:
% 177.78/27.97 | (4) all_61_3 = e1
% 177.78/27.97 |
% 177.78/27.97 | SIMP: (4) implies:
% 177.78/27.97 | (5) all_61_3 = e1
% 177.78/27.97 |
% 177.78/27.97 | REDUCE: (3), (5) imply:
% 177.78/27.97 | (6) $false
% 177.78/27.97 |
% 177.78/27.97 | CLOSE: (6) is inconsistent.
% 177.78/27.97 |
% 177.78/27.97 End of proof
% 177.78/27.97
% 177.78/27.97 Sub-proof #422 shows that the following formulas are inconsistent:
% 177.78/27.97 ----------------------------------------------------------------
% 177.78/27.97 (1) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 177.78/27.97 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 177.78/27.97 (2) op(e2, e2) = all_65_57
% 177.78/27.97 (3) ~ (all_40_0 = e2)
% 177.78/27.97 (4) op(e0, e3) = all_40_0
% 177.78/27.97 (5) op(e0, e3) = all_65_57
% 177.78/27.97 (6) op(e2, e2) = e2
% 177.78/27.97
% 177.78/27.97 Begin of proof
% 177.78/27.97 |
% 177.78/27.97 | GROUND_INST: instantiating (1) with all_40_0, all_65_57, e3, e0, simplifying
% 177.78/27.97 | with (4), (5) gives:
% 177.78/27.97 | (7) all_65_57 = all_40_0
% 177.78/27.97 |
% 177.78/27.97 | GROUND_INST: instantiating (1) with e2, all_65_57, e2, e2, simplifying with
% 177.78/27.97 | (2), (6) gives:
% 177.78/27.97 | (8) all_65_57 = e2
% 177.78/27.97 |
% 177.78/27.97 | COMBINE_EQS: (7), (8) imply:
% 177.78/27.97 | (9) all_40_0 = e2
% 177.78/27.97 |
% 177.78/27.97 | SIMP: (9) implies:
% 177.78/27.97 | (10) all_40_0 = e2
% 177.78/27.97 |
% 177.78/27.97 | REDUCE: (3), (10) imply:
% 177.78/27.97 | (11) $false
% 177.78/27.97 |
% 177.78/27.97 | CLOSE: (11) is inconsistent.
% 177.78/27.97 |
% 177.78/27.97 End of proof
% 177.78/27.97
% 177.78/27.97 Sub-proof #423 shows that the following formulas are inconsistent:
% 177.78/27.97 ----------------------------------------------------------------
% 177.78/27.97 (1) all_63_12 = all_61_3
% 177.78/27.97 (2) all_63_12 = e3
% 177.78/27.97 (3) ~ (all_61_3 = e3)
% 177.78/27.97
% 177.78/27.97 Begin of proof
% 177.78/27.97 |
% 177.78/27.97 | COMBINE_EQS: (1), (2) imply:
% 177.78/27.97 | (4) all_61_3 = e3
% 177.78/27.97 |
% 177.78/27.97 | SIMP: (4) implies:
% 177.78/27.97 | (5) all_61_3 = e3
% 177.78/27.97 |
% 177.78/27.97 | REDUCE: (3), (5) imply:
% 177.78/27.97 | (6) $false
% 177.78/27.97 |
% 177.78/27.97 | CLOSE: (6) is inconsistent.
% 177.78/27.97 |
% 177.78/27.97 End of proof
% 177.78/27.97
% 177.78/27.97 Sub-proof #424 shows that the following formulas are inconsistent:
% 177.78/27.97 ----------------------------------------------------------------
% 177.78/27.97 (1) all_58_1 = all_52_1
% 177.78/27.97 (2) all_58_1 = e1
% 177.78/27.97 (3) ~ (all_52_1 = e1)
% 177.78/27.97
% 177.78/27.97 Begin of proof
% 177.78/27.97 |
% 177.78/27.97 | COMBINE_EQS: (1), (2) imply:
% 177.78/27.97 | (4) all_52_1 = e1
% 177.78/27.97 |
% 177.78/27.97 | SIMP: (4) implies:
% 177.78/27.97 | (5) all_52_1 = e1
% 177.78/27.97 |
% 177.78/27.97 | REDUCE: (3), (5) imply:
% 177.78/27.97 | (6) $false
% 177.78/27.97 |
% 177.78/27.97 | CLOSE: (6) is inconsistent.
% 177.78/27.97 |
% 177.78/27.97 End of proof
% 177.78/27.97
% 177.78/27.97 Sub-proof #425 shows that the following formulas are inconsistent:
% 177.78/27.97 ----------------------------------------------------------------
% 177.78/27.97 (1) all_58_3 = e1
% 177.78/27.97 (2) op(e0, all_61_14) = all_65_71
% 177.78/27.97 (3) ~ (all_61_8 = e0)
% 177.78/27.97 (4) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 177.78/27.97 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 177.78/27.97 (5) op(e0, all_61_11) = all_61_8
% 177.78/27.97 (6) all_58_2 = e0
% 177.78/27.97 (7) op(e0, e1) = all_61_11
% 177.78/27.97 (8) all_58_3 = all_52_3
% 177.78/27.97 (9) all_58_2 = all_52_2
% 177.78/27.97 (10) op(all_61_14, e0) = all_61_2
% 177.78/27.97 (11) op(e1, e0) = all_61_14
% 177.78/27.97 (12) op(unit, e0) = e0
% 177.78/27.97 (13) op(e1, all_52_2) = unit
% 177.78/27.97 (14) op(all_61_11, e0) = all_65_71
% 177.78/27.97 (15) op(e0, all_52_3) = unit
% 177.78/27.97
% 177.78/27.97 Begin of proof
% 177.78/27.97 |
% 177.78/27.97 | COMBINE_EQS: (6), (9) imply:
% 177.78/27.97 | (16) all_52_2 = e0
% 177.78/27.97 |
% 177.78/27.97 | SIMP: (16) implies:
% 177.78/27.97 | (17) all_52_2 = e0
% 177.78/27.97 |
% 177.78/27.97 | COMBINE_EQS: (1), (8) imply:
% 177.78/27.97 | (18) all_52_3 = e1
% 177.78/27.97 |
% 177.78/27.97 | REF_CLOSE: (2), (3), (4), (5), (7), (10), (11), (12), (13), (14), (15), (17),
% 177.78/27.97 | (18) are inconsistent by sub-proof #426.
% 177.78/27.97 |
% 177.78/27.97 End of proof
% 177.78/27.97
% 177.78/27.97 Sub-proof #426 shows that the following formulas are inconsistent:
% 177.78/27.97 ----------------------------------------------------------------
% 177.78/27.97 (1) op(e0, all_61_14) = all_65_71
% 177.78/27.97 (2) ~ (all_61_8 = e0)
% 177.78/27.97 (3) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 177.78/27.97 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 177.78/27.97 (4) all_52_2 = e0
% 177.78/27.97 (5) op(e0, all_61_11) = all_61_8
% 177.78/27.97 (6) op(e0, e1) = all_61_11
% 177.78/27.97 (7) op(all_61_14, e0) = all_61_2
% 177.78/27.97 (8) all_52_3 = e1
% 177.78/27.97 (9) op(e1, e0) = all_61_14
% 177.78/27.97 (10) op(unit, e0) = e0
% 177.78/27.97 (11) op(e1, all_52_2) = unit
% 177.78/27.97 (12) op(all_61_11, e0) = all_65_71
% 177.78/27.97 (13) op(e0, all_52_3) = unit
% 177.78/27.97
% 177.78/27.97 Begin of proof
% 177.78/27.97 |
% 177.78/27.97 | REDUCE: (4), (11) imply:
% 177.78/27.97 | (14) op(e1, e0) = unit
% 177.78/27.97 |
% 177.78/27.97 | REDUCE: (8), (13) imply:
% 177.78/27.97 | (15) op(e0, e1) = unit
% 177.78/27.97 |
% 177.78/27.97 | REF_CLOSE: (1), (2), (3), (5), (6), (7), (9), (10), (12), (14), (15) are
% 177.78/27.97 | inconsistent by sub-proof #427.
% 177.78/27.97 |
% 177.78/27.97 End of proof
% 177.78/27.97
% 177.78/27.97 Sub-proof #427 shows that the following formulas are inconsistent:
% 177.78/27.97 ----------------------------------------------------------------
% 177.78/27.97 (1) op(e0, all_61_14) = all_65_71
% 177.78/27.97 (2) ~ (all_61_8 = e0)
% 177.78/27.97 (3) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 177.78/27.97 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 177.78/27.97 (4) op(e0, all_61_11) = all_61_8
% 177.78/27.97 (5) op(e0, e1) = unit
% 177.78/27.97 (6) op(e0, e1) = all_61_11
% 177.78/27.97 (7) op(all_61_14, e0) = all_61_2
% 177.78/27.97 (8) op(e1, e0) = all_61_14
% 177.78/27.97 (9) op(e1, e0) = unit
% 177.78/27.97 (10) op(unit, e0) = e0
% 177.78/27.97 (11) op(all_61_11, e0) = all_65_71
% 177.78/27.97
% 177.78/27.97 Begin of proof
% 177.78/27.97 |
% 177.78/27.97 | GROUND_INST: instantiating (3) with all_61_11, unit, e1, e0, simplifying with
% 177.78/27.97 | (5), (6) gives:
% 177.78/27.97 | (12) all_61_11 = unit
% 177.78/27.97 |
% 177.78/27.97 | GROUND_INST: instantiating (3) with all_61_14, unit, e0, e1, simplifying with
% 177.78/27.97 | (8), (9) gives:
% 177.78/27.97 | (13) all_61_14 = unit
% 177.78/27.97 |
% 177.78/27.97 | REDUCE: (11), (12) imply:
% 177.78/27.97 | (14) op(unit, e0) = all_65_71
% 177.78/27.97 |
% 177.78/27.97 | REDUCE: (7), (13) imply:
% 177.78/27.97 | (15) op(unit, e0) = all_61_2
% 177.78/27.97 |
% 177.78/27.97 | REDUCE: (4), (12) imply:
% 177.78/27.97 | (16) op(e0, unit) = all_61_8
% 177.78/27.97 |
% 177.78/27.97 | REDUCE: (1), (13) imply:
% 177.78/27.97 | (17) op(e0, unit) = all_65_71
% 177.78/27.97 |
% 177.78/27.97 | GROUND_INST: instantiating (3) with all_61_8, all_65_71, unit, e0, simplifying
% 177.78/27.97 | with (16), (17) gives:
% 177.78/27.97 | (18) all_65_71 = all_61_8
% 177.78/27.97 |
% 177.78/27.97 | GROUND_INST: instantiating (3) with e0, all_65_71, e0, unit, simplifying with
% 177.78/27.97 | (10), (14) gives:
% 177.78/27.97 | (19) all_65_71 = e0
% 177.78/27.97 |
% 177.78/27.97 | GROUND_INST: instantiating (3) with all_61_2, all_65_71, e0, unit, simplifying
% 177.78/27.97 | with (14), (15) gives:
% 177.78/27.97 | (20) all_65_71 = all_61_2
% 177.78/27.97 |
% 177.78/27.97 | COMBINE_EQS: (19), (20) imply:
% 177.78/27.97 | (21) all_61_2 = e0
% 177.78/27.97 |
% 177.78/27.97 | COMBINE_EQS: (18), (20) imply:
% 177.78/27.97 | (22) all_61_2 = all_61_8
% 177.78/27.97 |
% 177.78/27.97 | COMBINE_EQS: (21), (22) imply:
% 177.78/27.97 | (23) all_61_8 = e0
% 177.78/27.97 |
% 177.78/27.97 | SIMP: (23) implies:
% 177.78/27.97 | (24) all_61_8 = e0
% 177.78/27.97 |
% 177.78/27.97 | REDUCE: (2), (24) imply:
% 177.78/27.97 | (25) $false
% 177.78/27.97 |
% 177.78/27.97 | CLOSE: (25) is inconsistent.
% 177.78/27.97 |
% 177.78/27.97 End of proof
% 177.78/27.97
% 177.78/27.97 Sub-proof #428 shows that the following formulas are inconsistent:
% 177.78/27.97 ----------------------------------------------------------------
% 177.78/27.97 (1) all_63_14 = e1 | all_63_14 = e0
% 177.78/27.97 (2) all_63_14 = all_61_11
% 177.78/27.97 (3) ~ (all_61_11 = e1)
% 177.78/27.97 (4) ~ (all_61_11 = e0)
% 177.78/27.97
% 177.78/27.97 Begin of proof
% 177.78/27.97 |
% 177.78/27.97 | BETA: splitting (1) gives:
% 177.78/27.97 |
% 177.78/27.97 | Case 1:
% 177.78/27.97 | |
% 177.78/27.97 | | (5) all_63_14 = e1
% 177.78/27.97 | |
% 177.78/27.97 | | REF_CLOSE: (2), (3), (5) are inconsistent by sub-proof #519.
% 177.78/27.97 | |
% 177.78/27.97 | Case 2:
% 177.78/27.97 | |
% 177.78/27.97 | | (6) all_63_14 = e0
% 177.78/27.97 | |
% 177.78/27.97 | | REF_CLOSE: (2), (4), (6) are inconsistent by sub-proof #518.
% 177.78/27.97 | |
% 177.78/27.97 | End of split
% 177.78/27.97 |
% 177.78/27.97 End of proof
% 177.78/27.97
% 177.78/27.97 Sub-proof #429 shows that the following formulas are inconsistent:
% 177.78/27.97 ----------------------------------------------------------------
% 177.78/27.97 (1) ~ (all_61_7 = e2)
% 177.78/27.97 (2) ~ (all_28_1 = e2)
% 177.78/27.97 (3) all_63_13 = all_61_7
% 177.78/27.97 (4) all_63_13 = e3 | all_63_13 = e2 | all_63_13 = e1 | all_63_13 = e0
% 177.78/27.97 (5) ~ (all_61_7 = all_28_1)
% 177.78/27.97 (6) ~ (all_61_7 = e3)
% 177.78/27.97 (7) all_63_3 = e3 | all_63_3 = e2 | all_63_3 = e1 | all_63_3 = e0
% 177.78/27.97 (8) ~ (all_61_7 = e0)
% 177.78/27.97 (9) all_63_3 = all_28_1
% 177.78/27.97 (10) ~ (all_28_1 = e0)
% 177.78/27.97 (11) ~ (all_28_1 = e3)
% 177.78/27.97
% 177.78/27.97 Begin of proof
% 177.78/27.97 |
% 177.78/27.97 | BETA: splitting (4) gives:
% 177.78/27.97 |
% 177.78/27.97 | Case 1:
% 177.78/27.97 | |
% 177.78/27.97 | | (12) all_63_13 = e3
% 177.78/27.97 | |
% 177.78/27.97 | | COMBINE_EQS: (3), (12) imply:
% 177.78/27.97 | | (13) all_61_7 = e3
% 177.78/27.97 | |
% 177.78/27.97 | | REDUCE: (6), (13) imply:
% 177.78/27.97 | | (14) $false
% 177.78/27.97 | |
% 177.78/27.97 | | CLOSE: (14) is inconsistent.
% 177.78/27.97 | |
% 177.78/27.97 | Case 2:
% 177.78/27.97 | |
% 177.78/27.97 | | (15) all_63_13 = e2 | all_63_13 = e1 | all_63_13 = e0
% 177.78/27.97 | |
% 177.78/27.97 | | BETA: splitting (15) gives:
% 177.78/27.97 | |
% 177.78/27.97 | | Case 1:
% 177.78/27.97 | | |
% 177.78/27.97 | | | (16) all_63_13 = e2
% 177.78/27.97 | | |
% 177.78/27.97 | | | REF_CLOSE: (1), (3), (16) are inconsistent by sub-proof #525.
% 177.78/27.97 | | |
% 177.78/27.97 | | Case 2:
% 177.78/27.97 | | |
% 177.78/27.97 | | | (17) all_63_13 = e1 | all_63_13 = e0
% 177.78/27.97 | | |
% 177.78/27.97 | | | BETA: splitting (17) gives:
% 177.78/27.97 | | |
% 177.78/27.97 | | | Case 1:
% 177.78/27.97 | | | |
% 177.78/27.97 | | | | (18) all_63_13 = e1
% 177.78/27.97 | | | |
% 177.78/27.97 | | | | COMBINE_EQS: (3), (18) imply:
% 177.78/27.97 | | | | (19) all_61_7 = e1
% 177.78/27.97 | | | |
% 177.78/27.97 | | | | SIMP: (19) implies:
% 177.78/27.97 | | | | (20) all_61_7 = e1
% 177.78/27.97 | | | |
% 177.78/27.97 | | | | REDUCE: (5), (20) imply:
% 177.78/27.97 | | | | (21) ~ (all_28_1 = e1)
% 177.78/27.97 | | | |
% 177.78/27.97 | | | | SIMP: (21) implies:
% 177.78/27.97 | | | | (22) ~ (all_28_1 = e1)
% 177.78/27.97 | | | |
% 177.78/27.97 | | | | REF_CLOSE: (2), (7), (9), (10), (11), (22) are inconsistent by sub-proof
% 177.78/27.97 | | | | #430.
% 177.78/27.97 | | | |
% 177.78/27.97 | | | Case 2:
% 177.78/27.97 | | | |
% 177.78/27.97 | | | | (23) all_63_13 = e0
% 177.78/27.97 | | | |
% 177.78/27.97 | | | | REF_CLOSE: (3), (8), (23) are inconsistent by sub-proof #523.
% 177.78/27.97 | | | |
% 177.78/27.97 | | | End of split
% 177.78/27.97 | | |
% 177.78/27.97 | | End of split
% 177.78/27.97 | |
% 177.78/27.97 | End of split
% 177.78/27.97 |
% 177.78/27.97 End of proof
% 177.78/27.97
% 177.78/27.97 Sub-proof #430 shows that the following formulas are inconsistent:
% 177.78/27.97 ----------------------------------------------------------------
% 177.78/27.97 (1) ~ (all_28_1 = e2)
% 177.78/27.97 (2) all_63_3 = e3 | all_63_3 = e2 | all_63_3 = e1 | all_63_3 = e0
% 177.78/27.97 (3) all_63_3 = all_28_1
% 177.78/27.97 (4) ~ (all_28_1 = e1)
% 177.78/27.97 (5) ~ (all_28_1 = e0)
% 177.78/27.97 (6) ~ (all_28_1 = e3)
% 177.78/27.97
% 177.78/27.97 Begin of proof
% 177.78/27.97 |
% 177.78/27.97 | BETA: splitting (2) gives:
% 177.78/27.97 |
% 177.78/27.97 | Case 1:
% 177.78/27.97 | |
% 177.78/27.97 | | (7) all_63_3 = e3
% 177.78/27.97 | |
% 177.78/27.97 | | COMBINE_EQS: (3), (7) imply:
% 177.78/27.97 | | (8) all_28_1 = e3
% 177.78/27.97 | |
% 177.78/27.97 | | REDUCE: (6), (8) imply:
% 177.78/27.97 | | (9) $false
% 177.78/27.97 | |
% 177.78/27.97 | | CLOSE: (9) is inconsistent.
% 177.78/27.97 | |
% 177.78/27.97 | Case 2:
% 177.78/27.97 | |
% 177.78/27.97 | | (10) all_63_3 = e2 | all_63_3 = e1 | all_63_3 = e0
% 177.78/27.97 | |
% 177.78/27.97 | | BETA: splitting (10) gives:
% 177.78/27.97 | |
% 177.78/27.97 | | Case 1:
% 177.78/27.97 | | |
% 177.78/27.97 | | | (11) all_63_3 = e2
% 177.78/27.97 | | |
% 177.78/27.97 | | | COMBINE_EQS: (3), (11) imply:
% 177.78/27.97 | | | (12) all_28_1 = e2
% 177.78/27.97 | | |
% 177.78/27.97 | | | REDUCE: (1), (12) imply:
% 177.78/27.97 | | | (13) $false
% 177.78/27.97 | | |
% 177.78/27.97 | | | CLOSE: (13) is inconsistent.
% 177.78/27.97 | | |
% 177.78/27.97 | | Case 2:
% 177.78/27.97 | | |
% 177.78/27.97 | | | (14) all_63_3 = e1 | all_63_3 = e0
% 177.78/27.97 | | |
% 177.78/27.97 | | | BETA: splitting (14) gives:
% 177.78/27.97 | | |
% 177.78/27.97 | | | Case 1:
% 177.78/27.97 | | | |
% 177.78/27.97 | | | | (15) all_63_3 = e1
% 177.78/27.97 | | | |
% 177.78/27.97 | | | | COMBINE_EQS: (3), (15) imply:
% 177.78/27.97 | | | | (16) all_28_1 = e1
% 177.78/27.97 | | | |
% 177.78/27.97 | | | | REDUCE: (4), (16) imply:
% 177.78/27.97 | | | | (17) $false
% 177.78/27.97 | | | |
% 177.78/27.97 | | | | CLOSE: (17) is inconsistent.
% 177.78/27.97 | | | |
% 177.78/27.97 | | | Case 2:
% 177.78/27.97 | | | |
% 177.78/27.97 | | | | (18) all_63_3 = e0
% 177.78/27.97 | | | |
% 177.78/27.97 | | | | COMBINE_EQS: (3), (18) imply:
% 177.78/27.97 | | | | (19) all_28_1 = e0
% 177.78/27.97 | | | |
% 177.78/27.97 | | | | REDUCE: (5), (19) imply:
% 177.78/27.97 | | | | (20) $false
% 177.78/27.97 | | | |
% 177.78/27.97 | | | | CLOSE: (20) is inconsistent.
% 177.78/27.97 | | | |
% 177.78/27.97 | | | End of split
% 177.78/27.97 | | |
% 177.78/27.97 | | End of split
% 177.78/27.97 | |
% 177.78/27.97 | End of split
% 177.78/27.97 |
% 177.78/27.97 End of proof
% 177.78/27.97
% 177.78/27.97 Sub-proof #431 shows that the following formulas are inconsistent:
% 177.78/27.97 ----------------------------------------------------------------
% 177.78/27.97 (1) op(e0, e0) = e3
% 177.78/27.97 (2) ~ (all_52_0 = all_52_3)
% 177.78/27.97 (3) ~ (all_52_3 = e2)
% 177.78/27.97 (4) all_58_0 = all_52_0
% 177.78/27.97 (5) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 177.78/27.97 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 177.78/27.97 (6) all_56_3 = e3 | all_56_3 = e2 | all_56_3 = e1 | all_56_3 = e0
% 177.78/27.97 (7) all_58_2 = all_52_2
% 177.78/27.97 (8) all_56_3 = all_52_3
% 177.78/27.97 (9) all_58_0 = e1
% 177.78/27.97 (10) ~ (unit = e3)
% 177.78/27.97 (11) op(e0, all_52_3) = unit
% 177.78/27.97 (12) all_58_2 = e3
% 177.78/27.97 (13) ~ (all_52_2 = all_52_3)
% 177.78/27.97
% 177.78/27.97 Begin of proof
% 177.78/27.97 |
% 177.78/27.97 | COMBINE_EQS: (4), (9) imply:
% 177.78/27.97 | (14) all_52_0 = e1
% 177.78/27.97 |
% 177.78/27.97 | SIMP: (14) implies:
% 177.78/27.97 | (15) all_52_0 = e1
% 177.78/27.97 |
% 177.78/27.97 | COMBINE_EQS: (7), (12) imply:
% 177.78/27.97 | (16) all_52_2 = e3
% 177.78/27.97 |
% 177.78/27.97 | SIMP: (16) implies:
% 177.78/27.97 | (17) all_52_2 = e3
% 177.78/27.97 |
% 177.78/27.97 | REDUCE: (2), (15) imply:
% 177.78/27.97 | (18) ~ (all_52_3 = e1)
% 177.78/27.97 |
% 177.78/27.97 | SIMP: (18) implies:
% 177.78/27.97 | (19) ~ (all_52_3 = e1)
% 177.78/27.97 |
% 177.78/27.97 | REDUCE: (13), (17) imply:
% 177.78/27.97 | (20) ~ (all_52_3 = e3)
% 177.78/27.97 |
% 177.78/27.97 | SIMP: (20) implies:
% 177.78/27.97 | (21) ~ (all_52_3 = e3)
% 177.78/27.97 |
% 177.78/27.97 | REF_CLOSE: (1), (3), (5), (6), (8), (10), (11), (19), (21) are inconsistent by
% 177.78/27.97 | sub-proof #439.
% 177.78/27.97 |
% 177.78/27.97 End of proof
% 177.78/27.97
% 177.78/27.97 Sub-proof #432 shows that the following formulas are inconsistent:
% 177.78/27.97 ----------------------------------------------------------------
% 177.78/27.97 (1) ~ (all_40_1 = e0)
% 177.78/27.97 (2) all_63_8 = all_40_1
% 177.78/27.97 (3) ~ (all_40_1 = e3)
% 177.78/27.97 (4) ~ (all_40_1 = e1)
% 177.78/27.97 (5) ~ (all_40_1 = e2)
% 177.78/27.97 (6) all_63_8 = e3 | all_63_8 = e2 | all_63_8 = e1 | all_63_8 = e0
% 177.78/27.97
% 177.78/27.97 Begin of proof
% 177.78/27.97 |
% 177.78/27.97 | BETA: splitting (6) gives:
% 177.78/27.97 |
% 177.78/27.97 | Case 1:
% 177.78/27.97 | |
% 177.78/27.97 | | (7) all_63_8 = e3
% 177.78/27.97 | |
% 177.78/27.97 | | COMBINE_EQS: (2), (7) imply:
% 177.78/27.97 | | (8) all_40_1 = e3
% 177.78/27.97 | |
% 177.78/27.97 | | REDUCE: (3), (8) imply:
% 177.78/27.97 | | (9) $false
% 177.78/27.97 | |
% 177.78/27.97 | | CLOSE: (9) is inconsistent.
% 177.78/27.97 | |
% 177.78/27.97 | Case 2:
% 177.78/27.97 | |
% 177.78/27.97 | | (10) all_63_8 = e2 | all_63_8 = e1 | all_63_8 = e0
% 177.78/27.97 | |
% 177.78/27.97 | | REF_CLOSE: (1), (2), (4), (5), (10) are inconsistent by sub-proof #487.
% 177.78/27.97 | |
% 177.78/27.97 | End of split
% 177.78/27.97 |
% 177.78/27.97 End of proof
% 177.78/27.97
% 177.78/27.97 Sub-proof #433 shows that the following formulas are inconsistent:
% 177.78/27.97 ----------------------------------------------------------------
% 177.78/27.97 (1) all_58_2 = all_52_2
% 177.78/27.97 (2) all_58_2 = e2
% 177.78/27.97 (3) ~ (all_52_2 = e2)
% 177.78/27.97
% 177.78/27.97 Begin of proof
% 177.78/27.97 |
% 177.78/27.97 | COMBINE_EQS: (1), (2) imply:
% 177.78/27.97 | (4) all_52_2 = e2
% 177.78/27.97 |
% 177.78/27.97 | SIMP: (4) implies:
% 177.78/27.97 | (5) all_52_2 = e2
% 177.78/27.97 |
% 177.78/27.97 | REDUCE: (3), (5) imply:
% 177.78/27.97 | (6) $false
% 177.78/27.97 |
% 177.78/27.97 | CLOSE: (6) is inconsistent.
% 177.78/27.97 |
% 177.78/27.97 End of proof
% 177.78/27.97
% 177.78/27.97 Sub-proof #434 shows that the following formulas are inconsistent:
% 177.78/27.97 ----------------------------------------------------------------
% 177.78/27.97 (1) all_56_1 = e3 | all_56_1 = e2 | all_56_1 = e1 | all_56_1 = e0
% 177.78/27.97 (2) op(all_61_7, e2) = all_61_7
% 177.78/27.97 (3) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 177.78/27.97 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 177.78/27.97 (4) ~ (all_52_1 = e3)
% 177.78/27.97 (5) ~ (all_61_13 = e2)
% 177.78/27.97 (6) ~ (all_58_3 = e2) | all_58_1 = e0
% 177.78/27.97 (7) op(e0, e2) = all_61_7
% 177.78/27.97 (8) op(unit, e1) = e1
% 177.78/27.97 (9) all_56_1 = all_52_1
% 177.78/27.97 (10) all_58_3 = all_52_3
% 177.78/27.97 (11) op(e2, all_52_1) = unit
% 177.78/27.97 (12) ~ (all_58_1 = e0) | all_58_3 = e2
% 177.78/27.97 (13) op(e2, e0) = all_61_13
% 177.78/27.97 (14) all_58_1 = all_52_1
% 177.78/27.97 (15) ~ (all_52_1 = e1)
% 177.78/27.97 (16) ~ (all_61_9 = e1)
% 177.78/27.97 (17) op(e2, e1) = all_61_9
% 177.78/27.97 (18) op(all_61_13, e2) = all_65_29
% 177.78/27.97 (19) op(e0, all_52_3) = unit
% 177.78/27.97 (20) op(e2, e2) = e2
% 177.78/27.97 (21) op(unit, e2) = e2
% 177.78/27.97
% 177.78/27.97 Begin of proof
% 177.78/27.97 |
% 177.78/27.97 | BETA: splitting (6) gives:
% 177.78/27.97 |
% 177.78/27.97 | Case 1:
% 177.78/27.97 | |
% 177.78/27.97 | | (22) ~ (all_58_3 = e2)
% 177.78/27.97 | |
% 177.78/27.97 | | REDUCE: (10), (22) imply:
% 177.78/27.97 | | (23) ~ (all_52_3 = e2)
% 177.78/27.97 | |
% 177.78/27.97 | | BETA: splitting (12) gives:
% 177.78/27.97 | |
% 177.78/27.97 | | Case 1:
% 177.78/27.97 | | |
% 177.78/27.97 | | | (24) ~ (all_58_1 = e0)
% 177.78/27.97 | | |
% 177.78/27.97 | | | REDUCE: (14), (24) imply:
% 177.78/27.97 | | | (25) ~ (all_52_1 = e0)
% 177.78/27.97 | | |
% 177.78/27.97 | | | BETA: splitting (1) gives:
% 177.78/27.97 | | |
% 177.78/27.97 | | | Case 1:
% 177.78/27.97 | | | |
% 177.78/27.97 | | | | (26) all_56_1 = e3
% 177.78/27.97 | | | |
% 177.78/27.97 | | | | COMBINE_EQS: (9), (26) imply:
% 177.78/27.97 | | | | (27) all_52_1 = e3
% 177.78/27.97 | | | |
% 177.78/27.97 | | | | REDUCE: (4), (27) imply:
% 177.78/27.97 | | | | (28) $false
% 177.78/27.97 | | | |
% 177.78/27.97 | | | | CLOSE: (28) is inconsistent.
% 177.78/27.97 | | | |
% 177.78/27.97 | | | Case 2:
% 177.78/27.97 | | | |
% 177.78/27.97 | | | | (29) all_56_1 = e2 | all_56_1 = e1 | all_56_1 = e0
% 177.78/27.97 | | | |
% 177.78/27.97 | | | | BETA: splitting (29) gives:
% 177.78/27.97 | | | |
% 177.78/27.97 | | | | Case 1:
% 177.78/27.97 | | | | |
% 177.78/27.97 | | | | | (30) all_56_1 = e2
% 177.78/27.97 | | | | |
% 177.78/27.97 | | | | | COMBINE_EQS: (9), (30) imply:
% 177.78/27.97 | | | | | (31) all_52_1 = e2
% 177.78/27.97 | | | | |
% 177.78/27.97 | | | | | REDUCE: (11), (31) imply:
% 177.78/27.97 | | | | | (32) op(e2, e2) = unit
% 177.78/27.97 | | | | |
% 177.78/27.97 | | | | | GROUND_INST: instantiating (3) with e2, unit, e2, e2, simplifying with
% 177.78/27.97 | | | | | (20), (32) gives:
% 177.78/27.97 | | | | | (33) unit = e2
% 177.78/27.97 | | | | |
% 177.78/27.97 | | | | | REF_CLOSE: (3), (8), (16), (17), (33) are inconsistent by sub-proof
% 177.78/27.97 | | | | | #435.
% 177.78/27.97 | | | | |
% 177.78/27.97 | | | | Case 2:
% 177.78/27.97 | | | | |
% 177.78/27.97 | | | | | (34) all_56_1 = e1 | all_56_1 = e0
% 177.78/27.97 | | | | |
% 177.78/27.97 | | | | | REF_CLOSE: (9), (15), (25), (34) are inconsistent by sub-proof #454.
% 177.78/27.97 | | | | |
% 177.78/27.97 | | | | End of split
% 177.78/27.97 | | | |
% 177.78/27.97 | | | End of split
% 177.78/27.97 | | |
% 177.78/27.97 | | Case 2:
% 177.78/27.97 | | |
% 177.78/27.97 | | | (35) all_58_3 = e2
% 177.78/27.97 | | |
% 177.78/27.97 | | | REF_CLOSE: (10), (23), (35) are inconsistent by sub-proof #459.
% 177.78/27.97 | | |
% 177.78/27.97 | | End of split
% 177.78/27.97 | |
% 177.78/27.97 | Case 2:
% 177.78/27.97 | |
% 177.78/27.97 | | (36) all_58_3 = e2
% 177.78/27.97 | | (37) all_58_1 = e0
% 177.78/27.97 | |
% 177.78/27.97 | | REF_CLOSE: (2), (3), (5), (7), (10), (11), (13), (14), (18), (19), (21),
% 177.78/27.97 | | (36), (37) are inconsistent by sub-proof #456.
% 177.78/27.97 | |
% 177.78/27.97 | End of split
% 177.78/27.97 |
% 177.78/27.97 End of proof
% 177.78/27.97
% 177.78/27.97 Sub-proof #435 shows that the following formulas are inconsistent:
% 177.78/27.97 ----------------------------------------------------------------
% 177.78/27.97 (1) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 177.78/27.97 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 177.78/27.97 (2) op(unit, e1) = e1
% 177.78/27.97 (3) unit = e2
% 177.78/27.97 (4) ~ (all_61_9 = e1)
% 177.78/27.97 (5) op(e2, e1) = all_61_9
% 177.78/27.97
% 177.78/27.97 Begin of proof
% 177.78/27.97 |
% 177.78/27.97 | REDUCE: (2), (3) imply:
% 177.78/27.97 | (6) op(e2, e1) = e1
% 177.78/27.97 |
% 177.78/27.97 | GROUND_INST: instantiating (1) with all_61_9, e1, e1, e2, simplifying with
% 177.78/27.97 | (5), (6) gives:
% 177.78/27.97 | (7) all_61_9 = e1
% 177.78/27.97 |
% 177.78/27.97 | REDUCE: (4), (7) imply:
% 177.78/27.97 | (8) $false
% 177.78/27.97 |
% 177.78/27.97 | CLOSE: (8) is inconsistent.
% 177.78/27.98 |
% 177.78/27.98 End of proof
% 177.78/27.98
% 177.78/27.98 Sub-proof #436 shows that the following formulas are inconsistent:
% 177.78/27.98 ----------------------------------------------------------------
% 177.78/27.98 (1) all_58_2 = all_52_2
% 177.78/27.98 (2) all_58_2 = e0
% 177.78/27.98 (3) ~ (all_52_2 = e0)
% 177.78/27.98
% 177.78/27.98 Begin of proof
% 177.78/27.98 |
% 177.78/27.98 | COMBINE_EQS: (1), (2) imply:
% 177.78/27.98 | (4) all_52_2 = e0
% 177.78/27.98 |
% 177.78/27.98 | SIMP: (4) implies:
% 177.78/27.98 | (5) all_52_2 = e0
% 177.78/27.98 |
% 177.78/27.98 | REDUCE: (3), (5) imply:
% 177.78/27.98 | (6) $false
% 177.78/27.98 |
% 177.78/27.98 | CLOSE: (6) is inconsistent.
% 177.78/27.98 |
% 177.78/27.98 End of proof
% 177.78/27.98
% 177.78/27.98 Sub-proof #437 shows that the following formulas are inconsistent:
% 177.78/27.98 ----------------------------------------------------------------
% 177.78/27.98 (1) op(all_61_7, e2) = all_61_7
% 177.78/27.98 (2) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 177.78/27.98 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 177.78/27.98 (3) all_58_1 = e0
% 177.78/27.98 (4) ~ (all_61_13 = e2)
% 177.78/27.98 (5) op(e0, e2) = all_61_7
% 177.78/27.98 (6) all_58_3 = all_52_3
% 177.78/27.98 (7) op(e2, all_52_1) = unit
% 177.78/27.98 (8) op(e2, e0) = all_61_13
% 177.78/27.98 (9) all_58_1 = all_52_1
% 177.78/27.98 (10) all_58_3 = e2
% 177.78/27.98 (11) op(all_61_13, e2) = all_65_29
% 177.78/27.98 (12) op(e0, all_52_3) = unit
% 177.78/27.98 (13) op(unit, e2) = e2
% 177.78/27.98
% 177.78/27.98 Begin of proof
% 177.78/27.98 |
% 177.78/27.98 | COMBINE_EQS: (3), (9) imply:
% 177.78/27.98 | (14) all_52_1 = e0
% 177.78/27.98 |
% 177.78/27.98 | SIMP: (14) implies:
% 177.78/27.98 | (15) all_52_1 = e0
% 177.78/27.98 |
% 177.78/27.98 | COMBINE_EQS: (6), (10) imply:
% 177.78/27.98 | (16) all_52_3 = e2
% 177.78/27.98 |
% 177.78/27.98 | SIMP: (16) implies:
% 177.78/27.98 | (17) all_52_3 = e2
% 177.78/27.98 |
% 177.78/27.98 | REF_CLOSE: (1), (2), (4), (5), (7), (8), (11), (12), (13), (15), (17) are
% 177.78/27.98 | inconsistent by sub-proof #457.
% 177.78/27.98 |
% 177.78/27.98 End of proof
% 177.78/27.98
% 177.78/27.98 Sub-proof #438 shows that the following formulas are inconsistent:
% 177.78/27.98 ----------------------------------------------------------------
% 177.78/27.98 (1) op(e0, e0) = e3
% 177.78/27.98 (2) ~ (all_52_3 = e3)
% 177.78/27.98 (3) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 177.78/27.98 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 177.78/27.98 (4) ~ (all_58_3 = e2) | all_58_1 = e0
% 177.78/27.98 (5) all_56_3 = e3 | all_56_3 = e2 | all_56_3 = e1 | all_56_3 = e0
% 177.78/27.98 (6) all_58_3 = all_52_3
% 177.78/27.98 (7) ~ (all_52_3 = e1)
% 177.78/27.98 (8) all_56_3 = all_52_3
% 177.78/27.98 (9) all_58_1 = all_52_1
% 177.78/27.98 (10) ~ (unit = e3)
% 177.78/27.98 (11) op(e0, all_52_3) = unit
% 177.78/27.98 (12) ~ (all_52_1 = e0)
% 177.78/27.98
% 177.78/27.98 Begin of proof
% 177.78/27.98 |
% 177.78/27.98 | BETA: splitting (4) gives:
% 177.78/27.98 |
% 177.78/27.98 | Case 1:
% 177.78/27.98 | |
% 177.78/27.98 | | (13) ~ (all_58_3 = e2)
% 177.78/27.98 | |
% 177.78/27.98 | | REDUCE: (6), (13) imply:
% 177.78/27.98 | | (14) ~ (all_52_3 = e2)
% 177.78/27.98 | |
% 177.78/27.98 | | REF_CLOSE: (1), (2), (3), (5), (7), (8), (10), (11), (14) are inconsistent
% 177.78/27.98 | | by sub-proof #439.
% 177.78/27.98 | |
% 177.78/27.98 | Case 2:
% 177.78/27.98 | |
% 177.78/27.98 | | (15) all_58_1 = e0
% 177.78/27.98 | |
% 177.78/27.98 | | REF_CLOSE: (9), (12), (15) are inconsistent by sub-proof #462.
% 177.78/27.98 | |
% 177.78/27.98 | End of split
% 177.78/27.98 |
% 177.78/27.98 End of proof
% 177.78/27.98
% 177.78/27.98 Sub-proof #439 shows that the following formulas are inconsistent:
% 177.78/27.98 ----------------------------------------------------------------
% 177.78/27.98 (1) op(e0, e0) = e3
% 177.78/27.98 (2) ~ (all_52_3 = e3)
% 177.78/27.98 (3) ~ (all_52_3 = e2)
% 177.78/27.98 (4) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 177.78/27.98 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 177.78/27.98 (5) all_56_3 = e3 | all_56_3 = e2 | all_56_3 = e1 | all_56_3 = e0
% 177.78/27.98 (6) ~ (all_52_3 = e1)
% 177.78/27.98 (7) all_56_3 = all_52_3
% 177.78/27.98 (8) ~ (unit = e3)
% 177.78/27.98 (9) op(e0, all_52_3) = unit
% 177.78/27.98
% 177.78/27.98 Begin of proof
% 177.78/27.98 |
% 177.78/27.98 | BETA: splitting (5) gives:
% 177.78/27.98 |
% 177.78/27.98 | Case 1:
% 177.78/27.98 | |
% 177.78/27.98 | | (10) all_56_3 = e3
% 177.78/27.98 | |
% 177.78/27.98 | | REF_CLOSE: (2), (7), (10) are inconsistent by sub-proof #442.
% 177.78/27.98 | |
% 177.78/27.98 | Case 2:
% 177.78/27.98 | |
% 177.78/27.98 | | (11) all_56_3 = e2 | all_56_3 = e1 | all_56_3 = e0
% 177.78/27.98 | |
% 177.78/27.98 | | BETA: splitting (11) gives:
% 177.78/27.98 | |
% 177.78/27.98 | | Case 1:
% 177.78/27.98 | | |
% 177.78/27.98 | | | (12) all_56_3 = e2
% 177.78/27.98 | | |
% 177.78/27.98 | | | REF_CLOSE: (3), (7), (12) are inconsistent by sub-proof #441.
% 177.78/27.98 | | |
% 177.78/27.98 | | Case 2:
% 177.78/27.98 | | |
% 177.78/27.98 | | | (13) all_56_3 = e1 | all_56_3 = e0
% 177.78/27.98 | | |
% 177.78/27.98 | | | BETA: splitting (13) gives:
% 177.78/27.98 | | |
% 177.78/27.98 | | | Case 1:
% 177.78/27.98 | | | |
% 177.78/27.98 | | | | (14) all_56_3 = e1
% 177.78/27.98 | | | |
% 177.78/27.98 | | | | REF_CLOSE: (6), (7), (14) are inconsistent by sub-proof #440.
% 177.78/27.98 | | | |
% 177.78/27.98 | | | Case 2:
% 177.78/27.98 | | | |
% 177.78/27.98 | | | | (15) all_56_3 = e0
% 177.78/27.98 | | | |
% 177.78/27.98 | | | | COMBINE_EQS: (7), (15) imply:
% 177.78/27.98 | | | | (16) all_52_3 = e0
% 177.78/27.98 | | | |
% 177.78/27.98 | | | | SIMP: (16) implies:
% 177.78/27.98 | | | | (17) all_52_3 = e0
% 177.78/27.98 | | | |
% 177.78/27.98 | | | | REDUCE: (9), (17) imply:
% 177.78/27.98 | | | | (18) op(e0, e0) = unit
% 177.78/27.98 | | | |
% 177.78/27.98 | | | | GROUND_INST: instantiating (4) with e3, unit, e0, e0, simplifying with
% 177.78/27.98 | | | | (1), (18) gives:
% 177.78/27.98 | | | | (19) unit = e3
% 177.78/27.98 | | | |
% 177.78/27.98 | | | | REDUCE: (8), (19) imply:
% 177.78/27.98 | | | | (20) $false
% 177.78/27.98 | | | |
% 177.78/27.98 | | | | CLOSE: (20) is inconsistent.
% 177.78/27.98 | | | |
% 177.78/27.98 | | | End of split
% 177.78/27.98 | | |
% 177.78/27.98 | | End of split
% 177.78/27.98 | |
% 177.78/27.98 | End of split
% 177.78/27.98 |
% 177.78/27.98 End of proof
% 177.78/27.98
% 177.78/27.98 Sub-proof #440 shows that the following formulas are inconsistent:
% 177.78/27.98 ----------------------------------------------------------------
% 177.78/27.98 (1) all_56_3 = all_52_3
% 177.78/27.98 (2) all_56_3 = e1
% 177.78/27.98 (3) ~ (all_52_3 = e1)
% 177.78/27.98
% 177.78/27.98 Begin of proof
% 177.78/27.98 |
% 177.78/27.98 | COMBINE_EQS: (1), (2) imply:
% 177.78/27.98 | (4) all_52_3 = e1
% 177.78/27.98 |
% 177.78/27.98 | SIMP: (4) implies:
% 177.78/27.98 | (5) all_52_3 = e1
% 177.78/27.98 |
% 177.78/27.98 | REDUCE: (3), (5) imply:
% 177.78/27.98 | (6) $false
% 177.78/27.98 |
% 177.78/27.98 | CLOSE: (6) is inconsistent.
% 177.78/27.98 |
% 177.78/27.98 End of proof
% 177.78/27.98
% 177.78/27.98 Sub-proof #441 shows that the following formulas are inconsistent:
% 177.78/27.98 ----------------------------------------------------------------
% 177.78/27.98 (1) all_56_3 = all_52_3
% 177.78/27.98 (2) all_56_3 = e2
% 177.78/27.98 (3) ~ (all_52_3 = e2)
% 177.78/27.98
% 177.78/27.98 Begin of proof
% 177.78/27.98 |
% 177.78/27.98 | COMBINE_EQS: (1), (2) imply:
% 177.78/27.98 | (4) all_52_3 = e2
% 177.78/27.98 |
% 177.78/27.98 | SIMP: (4) implies:
% 177.78/27.98 | (5) all_52_3 = e2
% 177.78/27.98 |
% 177.78/27.98 | REDUCE: (3), (5) imply:
% 177.78/27.98 | (6) $false
% 177.78/27.98 |
% 177.78/27.98 | CLOSE: (6) is inconsistent.
% 177.78/27.98 |
% 177.78/27.98 End of proof
% 177.78/27.98
% 177.78/27.98 Sub-proof #442 shows that the following formulas are inconsistent:
% 177.78/27.98 ----------------------------------------------------------------
% 177.78/27.98 (1) all_56_3 = all_52_3
% 177.78/27.98 (2) all_56_3 = e3
% 177.78/27.98 (3) ~ (all_52_3 = e3)
% 177.78/27.98
% 177.78/27.98 Begin of proof
% 177.78/27.98 |
% 177.78/27.98 | COMBINE_EQS: (1), (2) imply:
% 177.78/27.98 | (4) all_52_3 = e3
% 177.78/27.98 |
% 177.78/27.98 | SIMP: (4) implies:
% 177.78/27.98 | (5) all_52_3 = e3
% 177.78/27.98 |
% 177.78/27.98 | REDUCE: (3), (5) imply:
% 177.78/27.98 | (6) $false
% 177.78/27.98 |
% 177.78/27.98 | CLOSE: (6) is inconsistent.
% 177.78/27.98 |
% 177.78/27.98 End of proof
% 177.78/27.98
% 177.78/27.98 Sub-proof #443 shows that the following formulas are inconsistent:
% 177.78/27.98 ----------------------------------------------------------------
% 177.78/27.98 (1) op(all_42_1, e0) = e1
% 177.78/27.98 (2) all_58_3 = e1
% 177.78/27.98 (3) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 177.78/27.98 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 177.78/27.98 (4) all_58_2 = e0
% 177.78/27.98 (5) op(e1, e0) = all_42_1
% 177.78/27.98 (6) all_58_3 = all_52_3
% 177.78/27.98 (7) all_58_2 = all_52_2
% 177.78/27.98 (8) op(unit, e0) = e0
% 177.78/27.98 (9) op(e1, all_52_2) = unit
% 177.78/27.98 (10) ~ (all_52_2 = all_52_3)
% 177.78/27.98
% 177.78/27.98 Begin of proof
% 177.78/27.98 |
% 177.78/27.98 | COMBINE_EQS: (4), (7) imply:
% 177.78/27.98 | (11) all_52_2 = e0
% 177.78/27.98 |
% 177.78/27.98 | SIMP: (11) implies:
% 177.78/27.98 | (12) all_52_2 = e0
% 177.78/27.98 |
% 177.78/27.98 | COMBINE_EQS: (2), (6) imply:
% 177.78/27.98 | (13) all_52_3 = e1
% 177.78/27.98 |
% 177.78/27.98 | REF_CLOSE: (1), (3), (5), (8), (9), (10), (12), (13) are inconsistent by
% 177.78/27.98 | sub-proof #477.
% 177.78/27.98 |
% 177.78/27.98 End of proof
% 177.78/27.98
% 177.78/27.98 Sub-proof #444 shows that the following formulas are inconsistent:
% 177.78/27.98 ----------------------------------------------------------------
% 177.78/27.98 (1) all_63_13 = e2 | all_63_13 = e1 | all_63_13 = e0
% 177.78/27.98 (2) ~ (all_61_7 = e2)
% 177.78/27.98 (3) ~ (all_61_7 = e1)
% 177.78/27.98 (4) all_63_13 = all_61_7
% 177.78/27.98 (5) ~ (all_61_7 = e0)
% 177.78/27.98
% 177.78/27.98 Begin of proof
% 177.78/27.98 |
% 177.78/27.98 | BETA: splitting (1) gives:
% 177.78/27.98 |
% 177.78/27.98 | Case 1:
% 177.78/27.98 | |
% 177.78/27.98 | | (6) all_63_13 = e2
% 177.78/27.98 | |
% 177.78/27.98 | | COMBINE_EQS: (4), (6) imply:
% 177.78/27.98 | | (7) all_61_7 = e2
% 177.78/27.98 | |
% 177.78/27.98 | | REDUCE: (2), (7) imply:
% 177.78/27.98 | | (8) $false
% 177.78/27.98 | |
% 177.78/27.98 | | CLOSE: (8) is inconsistent.
% 177.78/27.98 | |
% 177.78/27.98 | Case 2:
% 177.78/27.98 | |
% 177.78/27.98 | | (9) all_63_13 = e1 | all_63_13 = e0
% 177.78/27.98 | |
% 177.78/27.98 | | REF_CLOSE: (3), (4), (5), (9) are inconsistent by sub-proof #445.
% 177.78/27.98 | |
% 177.78/27.98 | End of split
% 177.78/27.98 |
% 177.78/27.98 End of proof
% 177.78/27.98
% 177.78/27.98 Sub-proof #445 shows that the following formulas are inconsistent:
% 177.78/27.98 ----------------------------------------------------------------
% 177.78/27.98 (1) all_63_13 = e1 | all_63_13 = e0
% 177.78/27.98 (2) all_63_13 = all_61_7
% 177.78/27.98 (3) ~ (all_61_7 = e1)
% 177.78/27.98 (4) ~ (all_61_7 = e0)
% 177.78/27.98
% 177.78/27.98 Begin of proof
% 177.78/27.98 |
% 177.78/27.98 | BETA: splitting (1) gives:
% 177.78/27.98 |
% 177.78/27.98 | Case 1:
% 177.78/27.98 | |
% 177.78/27.98 | | (5) all_63_13 = e1
% 177.78/27.98 | |
% 177.78/27.98 | | COMBINE_EQS: (2), (5) imply:
% 177.78/27.98 | | (6) all_61_7 = e1
% 177.78/27.98 | |
% 177.78/27.98 | | REDUCE: (3), (6) imply:
% 177.78/27.98 | | (7) $false
% 177.78/27.98 | |
% 177.78/27.98 | | CLOSE: (7) is inconsistent.
% 177.78/27.98 | |
% 177.78/27.98 | Case 2:
% 177.78/27.98 | |
% 177.78/27.98 | | (8) all_63_13 = e0
% 177.78/27.98 | |
% 177.78/27.98 | | COMBINE_EQS: (2), (8) imply:
% 177.78/27.98 | | (9) all_61_7 = e0
% 177.78/27.98 | |
% 177.78/27.98 | | REDUCE: (4), (9) imply:
% 177.78/27.98 | | (10) $false
% 177.78/27.98 | |
% 177.78/27.98 | | CLOSE: (10) is inconsistent.
% 177.78/27.98 | |
% 177.78/27.98 | End of split
% 177.78/27.98 |
% 177.78/27.98 End of proof
% 177.78/27.98
% 177.78/27.98 Sub-proof #446 shows that the following formulas are inconsistent:
% 177.78/27.98 ----------------------------------------------------------------
% 177.78/27.98 (1) ~ (all_36_1 = e1)
% 177.78/27.98 (2) all_63_3 = e3 | all_63_3 = e2 | all_63_3 = e1 | all_63_3 = e0
% 177.78/27.98 (3) ~ (all_36_1 = e3)
% 177.78/27.98 (4) ~ (all_36_1 = e0)
% 177.78/27.98 (5) ~ (all_36_1 = e2)
% 177.78/27.98 (6) all_63_3 = all_36_1
% 177.78/27.98
% 177.78/27.98 Begin of proof
% 177.78/27.98 |
% 177.78/27.98 | BETA: splitting (2) gives:
% 177.78/27.98 |
% 177.78/27.98 | Case 1:
% 177.78/27.98 | |
% 177.78/27.98 | | (7) all_63_3 = e3
% 177.78/27.98 | |
% 177.78/27.98 | | COMBINE_EQS: (6), (7) imply:
% 177.78/27.98 | | (8) all_36_1 = e3
% 177.78/27.98 | |
% 177.78/27.98 | | REDUCE: (3), (8) imply:
% 177.78/27.98 | | (9) $false
% 177.78/27.98 | |
% 177.78/27.98 | | CLOSE: (9) is inconsistent.
% 177.78/27.98 | |
% 177.78/27.98 | Case 2:
% 177.78/27.98 | |
% 177.78/27.98 | | (10) all_63_3 = e2 | all_63_3 = e1 | all_63_3 = e0
% 177.78/27.98 | |
% 177.78/27.98 | | REF_CLOSE: (1), (4), (5), (6), (10) are inconsistent by sub-proof #447.
% 177.78/27.98 | |
% 177.78/27.98 | End of split
% 177.78/27.98 |
% 177.78/27.98 End of proof
% 177.78/27.98
% 177.78/27.98 Sub-proof #447 shows that the following formulas are inconsistent:
% 177.78/27.98 ----------------------------------------------------------------
% 177.78/27.98 (1) ~ (all_36_1 = e1)
% 177.78/27.98 (2) all_63_3 = e2 | all_63_3 = e1 | all_63_3 = e0
% 177.78/27.98 (3) ~ (all_36_1 = e0)
% 177.78/27.98 (4) ~ (all_36_1 = e2)
% 177.78/27.98 (5) all_63_3 = all_36_1
% 177.78/27.98
% 177.78/27.98 Begin of proof
% 177.78/27.98 |
% 177.78/27.98 | BETA: splitting (2) gives:
% 177.78/27.98 |
% 177.78/27.98 | Case 1:
% 177.78/27.98 | |
% 177.78/27.98 | | (6) all_63_3 = e2
% 177.78/27.98 | |
% 177.78/27.98 | | COMBINE_EQS: (5), (6) imply:
% 177.78/27.98 | | (7) all_36_1 = e2
% 177.78/27.98 | |
% 177.78/27.98 | | REDUCE: (4), (7) imply:
% 177.78/27.98 | | (8) $false
% 177.78/27.98 | |
% 177.78/27.98 | | CLOSE: (8) is inconsistent.
% 177.78/27.98 | |
% 177.78/27.98 | Case 2:
% 177.78/27.98 | |
% 177.78/27.98 | | (9) all_63_3 = e1 | all_63_3 = e0
% 177.78/27.98 | |
% 177.78/27.98 | | REF_CLOSE: (1), (3), (5), (9) are inconsistent by sub-proof #448.
% 177.78/27.98 | |
% 177.78/27.98 | End of split
% 177.78/27.98 |
% 177.78/27.98 End of proof
% 177.78/27.98
% 177.78/27.98 Sub-proof #448 shows that the following formulas are inconsistent:
% 177.78/27.98 ----------------------------------------------------------------
% 177.78/27.98 (1) all_63_3 = e1 | all_63_3 = e0
% 177.78/27.98 (2) all_63_3 = all_36_1
% 177.78/27.98 (3) ~ (all_36_1 = e1)
% 177.78/27.98 (4) ~ (all_36_1 = e0)
% 177.78/27.98
% 177.78/27.98 Begin of proof
% 177.78/27.98 |
% 177.78/27.98 | BETA: splitting (1) gives:
% 177.78/27.98 |
% 177.78/27.98 | Case 1:
% 177.78/27.98 | |
% 177.78/27.98 | | (5) all_63_3 = e1
% 177.78/27.98 | |
% 177.78/27.98 | | COMBINE_EQS: (2), (5) imply:
% 177.78/27.98 | | (6) all_36_1 = e1
% 177.78/27.98 | |
% 177.78/27.98 | | REDUCE: (3), (6) imply:
% 177.78/27.98 | | (7) $false
% 177.78/27.98 | |
% 177.78/27.98 | | CLOSE: (7) is inconsistent.
% 177.78/27.98 | |
% 177.78/27.98 | Case 2:
% 177.78/27.98 | |
% 177.78/27.98 | | (8) all_63_3 = e0
% 177.78/27.98 | |
% 177.78/27.98 | | COMBINE_EQS: (2), (8) imply:
% 177.78/27.98 | | (9) all_36_1 = e0
% 177.78/27.98 | |
% 177.78/27.98 | | REDUCE: (4), (9) imply:
% 177.78/27.98 | | (10) $false
% 177.78/27.98 | |
% 177.78/27.98 | | CLOSE: (10) is inconsistent.
% 177.78/27.98 | |
% 177.78/27.98 | End of split
% 177.78/27.98 |
% 177.78/27.98 End of proof
% 177.78/27.98
% 177.78/27.98 Sub-proof #449 shows that the following formulas are inconsistent:
% 177.78/27.98 ----------------------------------------------------------------
% 177.78/27.98 (1) ~ (all_42_1 = e3)
% 177.78/27.98 (2) ~ (all_42_1 = e1)
% 177.78/27.98 (3) all_63_11 = e3 | all_63_11 = e2 | all_63_11 = e1 | all_63_11 = e0
% 177.78/27.98 (4) ~ (all_42_1 = e2)
% 177.78/27.98 (5) all_63_11 = all_42_1
% 177.78/27.98 (6) ~ (all_42_1 = e0)
% 177.78/27.98
% 177.78/27.98 Begin of proof
% 177.78/27.98 |
% 177.78/27.98 | BETA: splitting (3) gives:
% 177.78/27.98 |
% 177.78/27.98 | Case 1:
% 177.78/27.98 | |
% 177.78/27.98 | | (7) all_63_11 = e3
% 177.78/27.98 | |
% 177.78/27.98 | | COMBINE_EQS: (5), (7) imply:
% 177.78/27.98 | | (8) all_42_1 = e3
% 177.78/27.98 | |
% 177.78/27.98 | | REDUCE: (1), (8) imply:
% 177.78/27.98 | | (9) $false
% 177.78/27.98 | |
% 177.78/27.98 | | CLOSE: (9) is inconsistent.
% 177.78/27.98 | |
% 177.78/27.98 | Case 2:
% 177.78/27.98 | |
% 177.78/27.98 | | (10) all_63_11 = e2 | all_63_11 = e1 | all_63_11 = e0
% 177.78/27.98 | |
% 177.78/27.98 | | REF_CLOSE: (2), (4), (5), (6), (10) are inconsistent by sub-proof #450.
% 177.78/27.98 | |
% 177.78/27.98 | End of split
% 177.78/27.98 |
% 177.78/27.98 End of proof
% 177.78/27.98
% 177.78/27.98 Sub-proof #450 shows that the following formulas are inconsistent:
% 177.78/27.98 ----------------------------------------------------------------
% 177.78/27.98 (1) ~ (all_42_1 = e1)
% 177.78/27.98 (2) ~ (all_42_1 = e2)
% 177.78/27.98 (3) all_63_11 = all_42_1
% 177.78/27.98 (4) ~ (all_42_1 = e0)
% 177.78/27.98 (5) all_63_11 = e2 | all_63_11 = e1 | all_63_11 = e0
% 177.78/27.98
% 177.78/27.98 Begin of proof
% 177.78/27.98 |
% 177.78/27.98 | BETA: splitting (5) gives:
% 177.78/27.98 |
% 177.78/27.98 | Case 1:
% 177.78/27.98 | |
% 177.78/27.98 | | (6) all_63_11 = e2
% 177.78/27.98 | |
% 177.78/27.98 | | COMBINE_EQS: (3), (6) imply:
% 177.78/27.98 | | (7) all_42_1 = e2
% 177.78/27.98 | |
% 177.78/27.98 | | REDUCE: (2), (7) imply:
% 177.78/27.98 | | (8) $false
% 177.78/27.98 | |
% 177.78/27.98 | | CLOSE: (8) is inconsistent.
% 177.78/27.98 | |
% 177.78/27.98 | Case 2:
% 177.78/27.98 | |
% 177.78/27.98 | | (9) all_63_11 = e1 | all_63_11 = e0
% 177.78/27.98 | |
% 177.78/27.98 | | REF_CLOSE: (1), (3), (4), (9) are inconsistent by sub-proof #451.
% 177.78/27.98 | |
% 177.78/27.98 | End of split
% 177.78/27.98 |
% 177.78/27.98 End of proof
% 177.78/27.98
% 177.78/27.98 Sub-proof #451 shows that the following formulas are inconsistent:
% 177.78/27.98 ----------------------------------------------------------------
% 177.78/27.98 (1) all_63_11 = e1 | all_63_11 = e0
% 177.78/27.98 (2) all_63_11 = all_42_1
% 177.78/27.98 (3) ~ (all_42_1 = e1)
% 177.78/27.98 (4) ~ (all_42_1 = e0)
% 177.78/27.98
% 177.78/27.98 Begin of proof
% 177.78/27.98 |
% 177.78/27.98 | BETA: splitting (1) gives:
% 177.78/27.98 |
% 177.78/27.98 | Case 1:
% 177.78/27.98 | |
% 177.78/27.98 | | (5) all_63_11 = e1
% 177.78/27.98 | |
% 177.78/27.98 | | COMBINE_EQS: (2), (5) imply:
% 177.78/27.98 | | (6) all_42_1 = e1
% 177.78/27.98 | |
% 177.78/27.98 | | REDUCE: (3), (6) imply:
% 177.78/27.98 | | (7) $false
% 177.78/27.98 | |
% 177.78/27.98 | | CLOSE: (7) is inconsistent.
% 177.78/27.98 | |
% 177.78/27.98 | Case 2:
% 177.78/27.98 | |
% 177.78/27.98 | | (8) all_63_11 = e0
% 177.78/27.98 | |
% 177.78/27.98 | | COMBINE_EQS: (2), (8) imply:
% 177.78/27.98 | | (9) all_42_1 = e0
% 177.78/27.98 | |
% 177.78/27.98 | | REDUCE: (4), (9) imply:
% 177.78/27.98 | | (10) $false
% 177.78/27.98 | |
% 177.78/27.98 | | CLOSE: (10) is inconsistent.
% 177.78/27.98 | |
% 177.78/27.98 | End of split
% 177.78/27.98 |
% 177.78/27.98 End of proof
% 177.78/27.98
% 177.78/27.98 Sub-proof #452 shows that the following formulas are inconsistent:
% 177.78/27.98 ----------------------------------------------------------------
% 177.78/27.98 (1) ~ (all_52_0 = all_52_1)
% 177.78/27.98 (2) ~ (all_52_1 = all_52_3)
% 177.78/27.98 (3) ~ (all_52_0 = all_52_3)
% 177.80/27.98 (4) all_56_1 = e3 | all_56_1 = e2 | all_56_1 = e1 | all_56_1 = e0
% 177.80/27.98 (5) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 177.80/27.98 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 177.80/27.98 (6) all_52_0 = e1
% 177.80/27.98 (7) all_52_2 = e3
% 177.80/27.98 (8) ~ (all_52_1 = all_52_2)
% 177.80/27.98 (9) all_56_3 = e3 | all_56_3 = e2 | all_56_3 = e1 | all_56_3 = e0
% 177.80/27.98 (10) all_56_1 = all_52_1
% 177.80/27.98 (11) op(e2, all_52_1) = unit
% 177.80/27.98 (12) all_56_3 = all_52_3
% 177.80/27.98 (13) op(e0, e0) = e1
% 177.80/27.98 (14) op(e0, all_52_3) = unit
% 177.80/27.98 (15) ~ (all_52_2 = all_52_3)
% 177.80/27.98 (16) ~ (all_52_1 = e0)
% 177.80/27.98 (17) op(e2, e2) = e2
% 177.80/27.98
% 177.80/27.98 Begin of proof
% 177.80/27.98 |
% 177.80/27.98 | REDUCE: (1), (6) imply:
% 177.80/27.98 | (18) ~ (all_52_1 = e1)
% 177.80/27.98 |
% 177.80/27.98 | SIMP: (18) implies:
% 177.80/27.98 | (19) ~ (all_52_1 = e1)
% 177.80/27.98 |
% 177.80/27.98 | REDUCE: (3), (6) imply:
% 177.80/27.98 | (20) ~ (all_52_3 = e1)
% 177.80/27.98 |
% 177.80/27.98 | SIMP: (20) implies:
% 177.80/27.98 | (21) ~ (all_52_3 = e1)
% 177.80/27.98 |
% 177.80/27.98 | REDUCE: (7), (8) imply:
% 177.80/27.98 | (22) ~ (all_52_1 = e3)
% 177.80/27.98 |
% 177.80/27.98 | REDUCE: (7), (15) imply:
% 177.80/27.98 | (23) ~ (all_52_3 = e3)
% 177.80/27.98 |
% 177.80/27.98 | SIMP: (23) implies:
% 177.80/27.98 | (24) ~ (all_52_3 = e3)
% 177.80/27.98 |
% 177.80/27.98 | REF_CLOSE: (2), (4), (5), (9), (10), (11), (12), (13), (14), (16), (17), (19),
% 177.80/27.98 | (21), (22), (24) are inconsistent by sub-proof #453.
% 177.80/27.98 |
% 177.80/27.98 End of proof
% 177.80/27.98
% 177.80/27.98 Sub-proof #453 shows that the following formulas are inconsistent:
% 177.80/27.98 ----------------------------------------------------------------
% 177.80/27.98 (1) ~ (all_52_3 = e3)
% 177.80/27.98 (2) ~ (all_52_1 = all_52_3)
% 177.80/27.98 (3) all_56_1 = e3 | all_56_1 = e2 | all_56_1 = e1 | all_56_1 = e0
% 177.80/27.98 (4) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 177.80/27.98 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 177.80/27.98 (5) ~ (all_52_1 = e3)
% 177.80/27.98 (6) all_56_3 = e3 | all_56_3 = e2 | all_56_3 = e1 | all_56_3 = e0
% 177.80/27.98 (7) all_56_1 = all_52_1
% 177.80/27.98 (8) op(e2, all_52_1) = unit
% 177.80/27.98 (9) ~ (all_52_3 = e1)
% 177.80/27.98 (10) all_56_3 = all_52_3
% 177.80/27.98 (11) op(e0, e0) = e1
% 177.80/27.98 (12) ~ (all_52_1 = e1)
% 177.80/27.98 (13) op(e0, all_52_3) = unit
% 177.80/27.98 (14) ~ (all_52_1 = e0)
% 177.80/27.98 (15) op(e2, e2) = e2
% 177.80/27.98
% 177.80/27.98 Begin of proof
% 177.80/27.98 |
% 177.80/27.98 | BETA: splitting (3) gives:
% 177.80/27.98 |
% 177.80/27.98 | Case 1:
% 177.80/27.98 | |
% 177.80/27.98 | | (16) all_56_1 = e3
% 177.80/27.98 | |
% 177.80/27.98 | | REF_CLOSE: (5), (7), (16) are inconsistent by sub-proof #455.
% 177.80/27.98 | |
% 177.80/27.98 | Case 2:
% 177.80/27.98 | |
% 177.80/27.98 | | (17) all_56_1 = e2 | all_56_1 = e1 | all_56_1 = e0
% 177.80/27.98 | |
% 177.80/27.98 | | BETA: splitting (17) gives:
% 177.80/27.98 | |
% 177.80/27.98 | | Case 1:
% 177.80/27.98 | | |
% 177.80/27.98 | | | (18) all_56_1 = e2
% 177.80/27.98 | | |
% 177.80/27.98 | | | COMBINE_EQS: (7), (18) imply:
% 177.80/27.98 | | | (19) all_52_1 = e2
% 177.80/27.98 | | |
% 177.80/27.98 | | | SIMP: (19) implies:
% 177.80/27.98 | | | (20) all_52_1 = e2
% 177.80/27.98 | | |
% 177.80/27.98 | | | REDUCE: (2), (20) imply:
% 177.80/27.98 | | | (21) ~ (all_52_3 = e2)
% 177.80/27.98 | | |
% 177.80/27.98 | | | SIMP: (21) implies:
% 177.80/27.98 | | | (22) ~ (all_52_3 = e2)
% 177.80/27.98 | | |
% 177.80/27.98 | | | REDUCE: (12), (20) imply:
% 177.80/27.98 | | | (23) ~ (e2 = e1)
% 177.80/27.98 | | |
% 177.80/27.98 | | | REDUCE: (8), (20) imply:
% 177.80/27.98 | | | (24) op(e2, e2) = unit
% 177.80/27.98 | | |
% 177.80/27.98 | | | BETA: splitting (6) gives:
% 177.80/27.98 | | |
% 177.80/27.98 | | | Case 1:
% 177.80/27.98 | | | |
% 177.80/27.98 | | | | (25) all_56_3 = e3
% 177.80/27.98 | | | |
% 177.80/27.98 | | | | COMBINE_EQS: (10), (25) imply:
% 177.80/27.98 | | | | (26) all_52_3 = e3
% 177.80/27.98 | | | |
% 177.80/27.98 | | | | REDUCE: (1), (26) imply:
% 177.80/27.98 | | | | (27) $false
% 177.80/27.98 | | | |
% 177.80/27.98 | | | | CLOSE: (27) is inconsistent.
% 177.80/27.98 | | | |
% 177.80/27.98 | | | Case 2:
% 177.80/27.98 | | | |
% 177.80/27.98 | | | | (28) all_56_3 = e2 | all_56_3 = e1 | all_56_3 = e0
% 177.80/27.98 | | | |
% 177.80/27.98 | | | | BETA: splitting (28) gives:
% 177.80/27.98 | | | |
% 177.80/27.98 | | | | Case 1:
% 177.80/27.98 | | | | |
% 177.80/27.98 | | | | | (29) all_56_3 = e2
% 177.80/27.98 | | | | |
% 177.80/27.98 | | | | | COMBINE_EQS: (10), (29) imply:
% 177.80/27.98 | | | | | (30) all_52_3 = e2
% 177.80/27.98 | | | | |
% 177.80/27.98 | | | | | REDUCE: (22), (30) imply:
% 177.80/27.98 | | | | | (31) $false
% 177.80/27.98 | | | | |
% 177.80/27.98 | | | | | CLOSE: (31) is inconsistent.
% 177.80/27.98 | | | | |
% 177.80/27.98 | | | | Case 2:
% 177.80/27.98 | | | | |
% 177.80/27.98 | | | | | (32) all_56_3 = e1 | all_56_3 = e0
% 177.80/27.98 | | | | |
% 177.80/27.98 | | | | | BETA: splitting (32) gives:
% 177.80/27.98 | | | | |
% 177.80/27.98 | | | | | Case 1:
% 177.80/27.98 | | | | | |
% 177.80/27.98 | | | | | | (33) all_56_3 = e1
% 177.80/27.98 | | | | | |
% 177.80/27.98 | | | | | | COMBINE_EQS: (10), (33) imply:
% 177.80/27.98 | | | | | | (34) all_52_3 = e1
% 177.80/27.98 | | | | | |
% 177.80/27.98 | | | | | | REDUCE: (9), (34) imply:
% 177.80/27.98 | | | | | | (35) $false
% 177.80/27.98 | | | | | |
% 177.80/27.98 | | | | | | CLOSE: (35) is inconsistent.
% 177.80/27.98 | | | | | |
% 177.80/27.98 | | | | | Case 2:
% 177.80/27.98 | | | | | |
% 177.80/27.98 | | | | | | (36) all_56_3 = e0
% 177.80/27.98 | | | | | |
% 177.80/27.98 | | | | | | COMBINE_EQS: (10), (36) imply:
% 177.80/27.98 | | | | | | (37) all_52_3 = e0
% 177.80/27.98 | | | | | |
% 177.80/27.98 | | | | | | REDUCE: (13), (37) imply:
% 177.80/27.98 | | | | | | (38) op(e0, e0) = unit
% 177.80/27.98 | | | | | |
% 177.80/27.98 | | | | | | GROUND_INST: instantiating (4) with e1, unit, e0, e0, simplifying
% 177.80/27.98 | | | | | | with (11), (38) gives:
% 177.80/27.98 | | | | | | (39) unit = e1
% 177.80/27.98 | | | | | |
% 177.80/27.98 | | | | | | GROUND_INST: instantiating (4) with e2, unit, e2, e2, simplifying
% 177.80/27.98 | | | | | | with (15), (24) gives:
% 177.80/27.98 | | | | | | (40) unit = e2
% 177.80/27.98 | | | | | |
% 177.80/27.98 | | | | | | COMBINE_EQS: (39), (40) imply:
% 177.80/27.98 | | | | | | (41) e2 = e1
% 177.80/27.98 | | | | | |
% 177.80/27.98 | | | | | | REDUCE: (23), (41) imply:
% 177.80/27.98 | | | | | | (42) $false
% 177.80/27.98 | | | | | |
% 177.80/27.98 | | | | | | CLOSE: (42) is inconsistent.
% 177.80/27.98 | | | | | |
% 177.80/27.98 | | | | | End of split
% 177.80/27.98 | | | | |
% 177.80/27.98 | | | | End of split
% 177.80/27.98 | | | |
% 177.80/27.98 | | | End of split
% 177.80/27.98 | | |
% 177.80/27.98 | | Case 2:
% 177.80/27.98 | | |
% 177.80/27.98 | | | (43) all_56_1 = e1 | all_56_1 = e0
% 177.80/27.98 | | |
% 177.80/27.98 | | | REF_CLOSE: (7), (12), (14), (43) are inconsistent by sub-proof #454.
% 177.80/27.98 | | |
% 177.80/27.98 | | End of split
% 177.80/27.98 | |
% 177.80/27.98 | End of split
% 177.80/27.98 |
% 177.80/27.98 End of proof
% 177.80/27.98
% 177.80/27.98 Sub-proof #454 shows that the following formulas are inconsistent:
% 177.80/27.98 ----------------------------------------------------------------
% 177.80/27.98 (1) all_56_1 = e1 | all_56_1 = e0
% 177.80/27.98 (2) all_56_1 = all_52_1
% 177.80/27.98 (3) ~ (all_52_1 = e1)
% 177.80/27.98 (4) ~ (all_52_1 = e0)
% 177.80/27.98
% 177.80/27.98 Begin of proof
% 177.80/27.98 |
% 177.80/27.98 | BETA: splitting (1) gives:
% 177.80/27.98 |
% 177.80/27.98 | Case 1:
% 177.80/27.98 | |
% 177.80/27.98 | | (5) all_56_1 = e1
% 177.80/27.98 | |
% 177.80/27.98 | | COMBINE_EQS: (2), (5) imply:
% 177.80/27.98 | | (6) all_52_1 = e1
% 177.80/27.98 | |
% 177.80/27.98 | | SIMP: (6) implies:
% 177.80/27.98 | | (7) all_52_1 = e1
% 177.80/27.98 | |
% 177.80/27.98 | | REDUCE: (3), (7) imply:
% 177.80/27.98 | | (8) $false
% 177.80/27.98 | |
% 177.80/27.98 | | CLOSE: (8) is inconsistent.
% 177.80/27.98 | |
% 177.80/27.98 | Case 2:
% 177.80/27.98 | |
% 177.80/27.98 | | (9) all_56_1 = e0
% 177.80/27.98 | |
% 177.80/27.98 | | COMBINE_EQS: (2), (9) imply:
% 177.80/27.98 | | (10) all_52_1 = e0
% 177.80/27.98 | |
% 177.80/27.98 | | SIMP: (10) implies:
% 177.80/27.98 | | (11) all_52_1 = e0
% 177.80/27.98 | |
% 177.80/27.98 | | REDUCE: (4), (11) imply:
% 177.80/27.98 | | (12) $false
% 177.80/27.98 | |
% 177.80/27.98 | | CLOSE: (12) is inconsistent.
% 177.80/27.98 | |
% 177.80/27.98 | End of split
% 177.80/27.98 |
% 177.80/27.98 End of proof
% 177.80/27.98
% 177.80/27.98 Sub-proof #455 shows that the following formulas are inconsistent:
% 177.80/27.98 ----------------------------------------------------------------
% 177.80/27.98 (1) all_56_1 = all_52_1
% 177.80/27.98 (2) all_56_1 = e3
% 177.80/27.98 (3) ~ (all_52_1 = e3)
% 177.80/27.98
% 177.80/27.98 Begin of proof
% 177.80/27.98 |
% 177.80/27.98 | COMBINE_EQS: (1), (2) imply:
% 177.80/27.98 | (4) all_52_1 = e3
% 177.80/27.98 |
% 177.80/27.98 | SIMP: (4) implies:
% 177.80/27.98 | (5) all_52_1 = e3
% 177.80/27.98 |
% 177.80/27.98 | REDUCE: (3), (5) imply:
% 177.80/27.98 | (6) $false
% 177.80/27.98 |
% 177.80/27.98 | CLOSE: (6) is inconsistent.
% 177.80/27.98 |
% 177.80/27.98 End of proof
% 177.80/27.98
% 177.80/27.98 Sub-proof #456 shows that the following formulas are inconsistent:
% 177.80/27.98 ----------------------------------------------------------------
% 177.80/27.98 (1) op(all_61_7, e2) = all_61_7
% 177.80/27.98 (2) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 177.80/27.98 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 177.80/27.98 (3) all_58_1 = e0
% 177.80/27.98 (4) ~ (all_61_13 = e2)
% 177.80/27.98 (5) op(e0, e2) = all_61_7
% 177.80/27.98 (6) all_58_3 = all_52_3
% 177.80/27.98 (7) op(e2, all_52_1) = unit
% 177.80/27.98 (8) op(e2, e0) = all_61_13
% 177.80/27.98 (9) all_58_1 = all_52_1
% 177.80/27.98 (10) all_58_3 = e2
% 177.80/27.98 (11) op(all_61_13, e2) = all_65_29
% 177.80/27.98 (12) op(e0, all_52_3) = unit
% 177.80/27.98 (13) op(unit, e2) = e2
% 177.80/27.98
% 177.80/27.98 Begin of proof
% 177.80/27.98 |
% 177.80/27.98 | COMBINE_EQS: (3), (9) imply:
% 177.80/27.98 | (14) all_52_1 = e0
% 177.80/27.98 |
% 177.80/27.98 | SIMP: (14) implies:
% 177.80/27.98 | (15) all_52_1 = e0
% 177.80/27.98 |
% 177.80/27.98 | COMBINE_EQS: (6), (10) imply:
% 177.80/27.98 | (16) all_52_3 = e2
% 177.80/27.98 |
% 177.80/27.98 | REF_CLOSE: (1), (2), (4), (5), (7), (8), (11), (12), (13), (15), (16) are
% 177.80/27.98 | inconsistent by sub-proof #457.
% 177.80/27.98 |
% 177.80/27.98 End of proof
% 177.80/27.98
% 177.80/27.98 Sub-proof #457 shows that the following formulas are inconsistent:
% 177.80/27.98 ----------------------------------------------------------------
% 177.80/27.98 (1) all_52_3 = e2
% 177.80/27.98 (2) op(all_61_7, e2) = all_61_7
% 177.80/27.98 (3) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 177.80/27.98 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 177.80/27.98 (4) ~ (all_61_13 = e2)
% 177.80/27.98 (5) op(e0, e2) = all_61_7
% 177.80/27.98 (6) op(e2, all_52_1) = unit
% 177.80/27.98 (7) op(e2, e0) = all_61_13
% 177.80/27.98 (8) op(all_61_13, e2) = all_65_29
% 177.80/27.98 (9) op(e0, all_52_3) = unit
% 177.80/27.98 (10) all_52_1 = e0
% 177.80/27.98 (11) op(unit, e2) = e2
% 177.80/27.98
% 177.80/27.98 Begin of proof
% 177.80/27.98 |
% 177.80/27.98 | REDUCE: (6), (10) imply:
% 177.80/27.98 | (12) op(e2, e0) = unit
% 177.80/27.98 |
% 177.80/27.98 | REDUCE: (1), (9) imply:
% 177.80/27.98 | (13) op(e0, e2) = unit
% 177.80/27.98 |
% 177.80/27.98 | REF_CLOSE: (2), (3), (4), (5), (7), (8), (11), (12), (13) are inconsistent by
% 177.80/27.98 | sub-proof #458.
% 177.80/27.98 |
% 177.80/27.98 End of proof
% 177.80/27.98
% 177.80/27.98 Sub-proof #458 shows that the following formulas are inconsistent:
% 177.80/27.98 ----------------------------------------------------------------
% 177.80/27.98 (1) op(all_61_7, e2) = all_61_7
% 177.80/27.98 (2) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 177.80/27.98 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 177.80/27.98 (3) ~ (all_61_13 = e2)
% 177.80/27.98 (4) op(e0, e2) = all_61_7
% 177.80/27.98 (5) op(e2, e0) = all_61_13
% 177.80/27.98 (6) op(e0, e2) = unit
% 177.80/27.98 (7) op(e2, e0) = unit
% 177.80/27.98 (8) op(all_61_13, e2) = all_65_29
% 177.80/27.98 (9) op(unit, e2) = e2
% 177.80/27.98
% 177.80/27.98 Begin of proof
% 177.80/27.98 |
% 177.80/27.98 | GROUND_INST: instantiating (2) with all_61_7, unit, e2, e0, simplifying with
% 177.80/27.98 | (4), (6) gives:
% 177.80/27.99 | (10) all_61_7 = unit
% 177.80/27.99 |
% 177.80/27.99 | GROUND_INST: instantiating (2) with all_61_13, unit, e0, e2, simplifying with
% 177.80/27.99 | (5), (7) gives:
% 177.80/27.99 | (11) all_61_13 = unit
% 177.80/27.99 |
% 177.80/27.99 | REDUCE: (3), (11) imply:
% 177.80/27.99 | (12) ~ (unit = e2)
% 177.80/27.99 |
% 177.80/27.99 | REDUCE: (1), (10) imply:
% 177.80/27.99 | (13) op(unit, e2) = unit
% 177.80/27.99 |
% 177.80/27.99 | REDUCE: (8), (11) imply:
% 177.80/27.99 | (14) op(unit, e2) = all_65_29
% 177.80/27.99 |
% 177.80/27.99 | GROUND_INST: instantiating (2) with e2, all_65_29, e2, unit, simplifying with
% 177.80/27.99 | (9), (14) gives:
% 177.80/27.99 | (15) all_65_29 = e2
% 177.80/27.99 |
% 177.80/27.99 | GROUND_INST: instantiating (2) with unit, all_65_29, e2, unit, simplifying
% 177.80/27.99 | with (13), (14) gives:
% 177.80/27.99 | (16) all_65_29 = unit
% 177.80/27.99 |
% 177.80/27.99 | COMBINE_EQS: (15), (16) imply:
% 177.80/27.99 | (17) unit = e2
% 177.80/27.99 |
% 177.80/27.99 | SIMP: (17) implies:
% 177.80/27.99 | (18) unit = e2
% 177.80/27.99 |
% 177.80/27.99 | REDUCE: (12), (18) imply:
% 177.80/27.99 | (19) $false
% 177.80/27.99 |
% 177.80/27.99 | CLOSE: (19) is inconsistent.
% 177.80/27.99 |
% 177.80/27.99 End of proof
% 177.80/27.99
% 177.80/27.99 Sub-proof #459 shows that the following formulas are inconsistent:
% 177.80/27.99 ----------------------------------------------------------------
% 177.80/27.99 (1) all_58_3 = all_52_3
% 177.80/27.99 (2) all_58_3 = e2
% 177.80/27.99 (3) ~ (all_52_3 = e2)
% 177.80/27.99
% 177.80/27.99 Begin of proof
% 177.80/27.99 |
% 177.80/27.99 | COMBINE_EQS: (1), (2) imply:
% 177.80/27.99 | (4) all_52_3 = e2
% 177.80/27.99 |
% 177.80/27.99 | SIMP: (4) implies:
% 177.80/27.99 | (5) all_52_3 = e2
% 177.80/27.99 |
% 177.80/27.99 | REDUCE: (3), (5) imply:
% 177.80/27.99 | (6) $false
% 177.80/27.99 |
% 177.80/27.99 | CLOSE: (6) is inconsistent.
% 177.80/27.99 |
% 177.80/27.99 End of proof
% 177.80/27.99
% 177.80/27.99 Sub-proof #460 shows that the following formulas are inconsistent:
% 177.80/27.99 ----------------------------------------------------------------
% 177.80/27.99 (1) all_58_3 = all_52_3
% 177.80/27.99 (2) all_58_3 = e1
% 177.80/27.99 (3) ~ (all_52_3 = e1)
% 177.80/27.99
% 177.80/27.99 Begin of proof
% 177.80/27.99 |
% 177.80/27.99 | COMBINE_EQS: (1), (2) imply:
% 177.80/27.99 | (4) all_52_3 = e1
% 177.80/27.99 |
% 177.80/27.99 | SIMP: (4) implies:
% 177.80/27.99 | (5) all_52_3 = e1
% 177.80/27.99 |
% 177.80/27.99 | REDUCE: (3), (5) imply:
% 177.80/27.99 | (6) $false
% 177.80/27.99 |
% 177.80/27.99 | CLOSE: (6) is inconsistent.
% 177.80/27.99 |
% 177.80/27.99 End of proof
% 177.80/27.99
% 177.80/27.99 Sub-proof #461 shows that the following formulas are inconsistent:
% 177.80/27.99 ----------------------------------------------------------------
% 177.80/27.99 (1) op(all_61_14, e1) = all_65_46
% 177.80/27.99 (2) ~ (all_52_3 = e3)
% 177.80/27.99 (3) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 177.80/27.99 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 177.80/27.99 (4) ~ (all_61_14 = e1)
% 177.80/27.99 (5) ~ (all_58_3 = e1) | all_58_2 = e0
% 177.80/27.99 (6) ~ (all_58_3 = e2) | all_58_1 = e0
% 177.80/27.99 (7) op(e0, e0) = e0
% 177.80/27.99 (8) op(unit, e1) = e1
% 177.80/27.99 (9) op(e0, e1) = all_61_11
% 177.80/27.99 (10) all_56_3 = e3 | all_56_3 = e2 | all_56_3 = e1 | all_56_3 = e0
% 177.80/27.99 (11) all_58_3 = all_52_3
% 177.80/27.99 (12) all_58_2 = all_52_2
% 177.80/27.99 (13) all_56_3 = all_52_3
% 177.80/27.99 (14) op(e1, e0) = all_61_14
% 177.80/27.99 (15) all_58_1 = all_52_1
% 177.80/27.99 (16) op(e1, unit) = e1
% 177.80/27.99 (17) op(e1, all_52_2) = unit
% 177.80/27.99 (18) op(all_61_11, e1) = all_61_11
% 177.80/27.99 (19) op(e0, all_52_3) = unit
% 177.80/27.99 (20) ~ (all_52_1 = e0)
% 177.80/27.99
% 177.80/27.99 Begin of proof
% 177.80/27.99 |
% 177.80/27.99 | BETA: splitting (6) gives:
% 177.80/27.99 |
% 177.80/27.99 | Case 1:
% 177.80/27.99 | |
% 177.80/27.99 | | (21) ~ (all_58_3 = e2)
% 177.80/27.99 | |
% 177.80/27.99 | | REDUCE: (11), (21) imply:
% 177.80/27.99 | | (22) ~ (all_52_3 = e2)
% 177.80/27.99 | |
% 177.80/27.99 | | BETA: splitting (5) gives:
% 177.80/27.99 | |
% 177.80/27.99 | | Case 1:
% 177.80/27.99 | | |
% 177.80/27.99 | | | (23) ~ (all_58_3 = e1)
% 177.80/27.99 | | |
% 177.80/27.99 | | | REDUCE: (11), (23) imply:
% 177.80/27.99 | | | (24) ~ (all_52_3 = e1)
% 177.80/27.99 | | |
% 177.80/27.99 | | | BETA: splitting (10) gives:
% 177.80/27.99 | | |
% 177.80/27.99 | | | Case 1:
% 177.80/27.99 | | | |
% 177.80/27.99 | | | | (25) all_56_3 = e3
% 177.80/27.99 | | | |
% 177.80/27.99 | | | | COMBINE_EQS: (13), (25) imply:
% 177.80/27.99 | | | | (26) all_52_3 = e3
% 177.80/27.99 | | | |
% 177.80/27.99 | | | | REDUCE: (2), (26) imply:
% 177.80/27.99 | | | | (27) $false
% 177.80/27.99 | | | |
% 177.80/27.99 | | | | CLOSE: (27) is inconsistent.
% 177.80/27.99 | | | |
% 177.80/27.99 | | | Case 2:
% 177.80/27.99 | | | |
% 177.80/27.99 | | | | (28) all_56_3 = e2 | all_56_3 = e1 | all_56_3 = e0
% 177.80/27.99 | | | |
% 177.80/27.99 | | | | BETA: splitting (28) gives:
% 177.80/27.99 | | | |
% 177.80/27.99 | | | | Case 1:
% 177.80/27.99 | | | | |
% 177.80/27.99 | | | | | (29) all_56_3 = e2
% 177.80/27.99 | | | | |
% 177.80/27.99 | | | | | COMBINE_EQS: (13), (29) imply:
% 177.80/27.99 | | | | | (30) all_52_3 = e2
% 177.80/27.99 | | | | |
% 177.80/27.99 | | | | | REDUCE: (22), (30) imply:
% 177.80/27.99 | | | | | (31) $false
% 177.80/27.99 | | | | |
% 177.80/27.99 | | | | | CLOSE: (31) is inconsistent.
% 177.80/27.99 | | | | |
% 177.80/27.99 | | | | Case 2:
% 177.80/27.99 | | | | |
% 177.80/27.99 | | | | | (32) all_56_3 = e1 | all_56_3 = e0
% 177.80/27.99 | | | | |
% 177.80/27.99 | | | | | BETA: splitting (32) gives:
% 177.80/27.99 | | | | |
% 177.80/27.99 | | | | | Case 1:
% 177.80/27.99 | | | | | |
% 177.80/27.99 | | | | | | (33) all_56_3 = e1
% 177.80/27.99 | | | | | |
% 177.80/27.99 | | | | | | COMBINE_EQS: (13), (33) imply:
% 177.80/27.99 | | | | | | (34) all_52_3 = e1
% 177.80/27.99 | | | | | |
% 177.80/27.99 | | | | | | REDUCE: (24), (34) imply:
% 177.80/27.99 | | | | | | (35) $false
% 177.80/27.99 | | | | | |
% 177.80/27.99 | | | | | | CLOSE: (35) is inconsistent.
% 177.80/27.99 | | | | | |
% 177.80/27.99 | | | | | Case 2:
% 177.80/27.99 | | | | | |
% 177.80/27.99 | | | | | | (36) all_56_3 = e0
% 177.80/27.99 | | | | | |
% 177.80/27.99 | | | | | | COMBINE_EQS: (13), (36) imply:
% 177.80/27.99 | | | | | | (37) all_52_3 = e0
% 177.80/27.99 | | | | | |
% 177.80/27.99 | | | | | | REDUCE: (19), (37) imply:
% 177.80/27.99 | | | | | | (38) op(e0, e0) = unit
% 177.80/27.99 | | | | | |
% 177.80/27.99 | | | | | | GROUND_INST: instantiating (3) with e0, unit, e0, e0, simplifying
% 177.80/27.99 | | | | | | with (7), (38) gives:
% 177.80/27.99 | | | | | | (39) unit = e0
% 177.80/27.99 | | | | | |
% 177.80/27.99 | | | | | | REF_CLOSE: (3), (4), (14), (16), (39) are inconsistent by sub-proof
% 177.80/27.99 | | | | | | #464.
% 177.80/27.99 | | | | | |
% 177.80/27.99 | | | | | End of split
% 177.80/27.99 | | | | |
% 177.80/27.99 | | | | End of split
% 177.80/27.99 | | | |
% 177.80/27.99 | | | End of split
% 177.80/27.99 | | |
% 177.80/27.99 | | Case 2:
% 177.80/27.99 | | |
% 177.80/27.99 | | | (40) all_58_3 = e1
% 177.80/27.99 | | | (41) all_58_2 = e0
% 177.80/27.99 | | |
% 177.80/27.99 | | | REF_CLOSE: (1), (3), (4), (8), (9), (11), (12), (14), (17), (18), (19),
% 177.80/27.99 | | | (40), (41) are inconsistent by sub-proof #463.
% 177.80/27.99 | | |
% 177.80/27.99 | | End of split
% 177.80/27.99 | |
% 177.80/27.99 | Case 2:
% 177.80/27.99 | |
% 177.80/27.99 | | (42) all_58_1 = e0
% 177.80/27.99 | |
% 177.80/27.99 | | REF_CLOSE: (15), (20), (42) are inconsistent by sub-proof #462.
% 177.80/27.99 | |
% 177.80/27.99 | End of split
% 177.80/27.99 |
% 177.80/27.99 End of proof
% 177.80/27.99
% 177.80/27.99 Sub-proof #462 shows that the following formulas are inconsistent:
% 177.80/27.99 ----------------------------------------------------------------
% 177.80/27.99 (1) all_58_1 = all_52_1
% 177.80/27.99 (2) all_58_1 = e0
% 177.80/27.99 (3) ~ (all_52_1 = e0)
% 177.80/27.99
% 177.80/27.99 Begin of proof
% 177.80/27.99 |
% 177.80/27.99 | COMBINE_EQS: (1), (2) imply:
% 177.80/27.99 | (4) all_52_1 = e0
% 177.80/27.99 |
% 177.80/27.99 | SIMP: (4) implies:
% 177.80/27.99 | (5) all_52_1 = e0
% 177.80/27.99 |
% 177.80/27.99 | REDUCE: (3), (5) imply:
% 177.80/27.99 | (6) $false
% 177.80/27.99 |
% 177.80/27.99 | CLOSE: (6) is inconsistent.
% 177.80/27.99 |
% 177.80/27.99 End of proof
% 177.80/27.99
% 177.80/27.99 Sub-proof #463 shows that the following formulas are inconsistent:
% 177.80/27.99 ----------------------------------------------------------------
% 177.80/27.99 (1) all_58_3 = e1
% 177.80/27.99 (2) op(all_61_14, e1) = all_65_46
% 177.80/27.99 (3) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 177.80/27.99 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 177.80/27.99 (4) ~ (all_61_14 = e1)
% 177.80/27.99 (5) all_58_2 = e0
% 177.80/27.99 (6) op(unit, e1) = e1
% 177.80/27.99 (7) op(e0, e1) = all_61_11
% 177.80/27.99 (8) all_58_3 = all_52_3
% 177.80/27.99 (9) all_58_2 = all_52_2
% 177.80/27.99 (10) op(e1, e0) = all_61_14
% 177.80/27.99 (11) op(e1, all_52_2) = unit
% 177.80/27.99 (12) op(all_61_11, e1) = all_61_11
% 177.80/27.99 (13) op(e0, all_52_3) = unit
% 177.80/27.99
% 177.80/27.99 Begin of proof
% 177.80/27.99 |
% 177.80/27.99 | COMBINE_EQS: (5), (9) imply:
% 177.80/27.99 | (14) all_52_2 = e0
% 177.80/27.99 |
% 177.80/27.99 | SIMP: (14) implies:
% 177.80/27.99 | (15) all_52_2 = e0
% 177.80/27.99 |
% 177.80/27.99 | COMBINE_EQS: (1), (8) imply:
% 177.80/27.99 | (16) all_52_3 = e1
% 177.80/27.99 |
% 177.80/27.99 | REF_CLOSE: (2), (3), (4), (6), (7), (10), (11), (12), (13), (15), (16) are
% 177.80/27.99 | inconsistent by sub-proof #495.
% 177.80/27.99 |
% 177.80/27.99 End of proof
% 177.80/27.99
% 177.80/27.99 Sub-proof #464 shows that the following formulas are inconsistent:
% 177.80/27.99 ----------------------------------------------------------------
% 177.80/27.99 (1) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 177.80/27.99 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 177.80/27.99 (2) ~ (all_61_14 = e1)
% 177.80/27.99 (3) op(e1, e0) = all_61_14
% 177.80/27.99 (4) unit = e0
% 177.80/27.99 (5) op(e1, unit) = e1
% 177.80/27.99
% 177.80/27.99 Begin of proof
% 177.80/27.99 |
% 177.80/27.99 | REDUCE: (4), (5) imply:
% 177.80/27.99 | (6) op(e1, e0) = e1
% 177.80/27.99 |
% 177.80/27.99 | GROUND_INST: instantiating (1) with all_61_14, e1, e0, e1, simplifying with
% 177.80/27.99 | (3), (6) gives:
% 177.80/27.99 | (7) all_61_14 = e1
% 177.80/27.99 |
% 177.80/27.99 | REDUCE: (2), (7) imply:
% 177.80/27.99 | (8) $false
% 177.80/27.99 |
% 177.80/27.99 | CLOSE: (8) is inconsistent.
% 177.80/27.99 |
% 177.80/27.99 End of proof
% 177.80/27.99
% 177.80/27.99 Sub-proof #465 shows that the following formulas are inconsistent:
% 177.80/27.99 ----------------------------------------------------------------
% 177.80/27.99 (1) all_56_0 = e3 | all_56_0 = e2 | all_56_0 = e1 | all_56_0 = e0
% 177.80/27.99 (2) op(e3, all_52_0) = unit
% 177.80/27.99 (3) ~ (all_52_0 = all_52_3)
% 177.80/27.99 (4) all_58_0 = all_52_0
% 177.80/27.99 (5) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 177.80/27.99 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 177.80/27.99 (6) op(e2, unit) = e2
% 177.80/27.99 (7) ~ (all_61_13 = e2)
% 177.80/27.99 (8) ~ (all_52_0 = e1)
% 177.80/27.99 (9) op(all_36_1, e3) = e0
% 177.80/27.99 (10) ~ (all_58_0 = e0) | all_58_3 = e3
% 177.80/27.99 (11) op(e3, e0) = all_36_1
% 177.80/27.99 (12) op(e3, e3) = e0
% 177.80/27.99 (13) ~ (all_52_0 = e2)
% 177.80/27.99 (14) op(unit, e3) = e3
% 177.80/27.99 (15) all_58_3 = all_52_3
% 177.80/27.99 (16) op(e2, e0) = all_61_13
% 177.80/27.99 (17) ~ (all_58_3 = e3) | all_58_0 = e0
% 177.80/27.99 (18) all_56_0 = all_52_0
% 177.80/27.99
% 177.80/27.99 Begin of proof
% 177.80/27.99 |
% 177.80/27.99 | BETA: splitting (17) gives:
% 177.80/27.99 |
% 177.80/27.99 | Case 1:
% 177.80/27.99 | |
% 177.80/27.99 | | (19) ~ (all_58_3 = e3)
% 177.80/27.99 | |
% 177.80/27.99 | | REDUCE: (15), (19) imply:
% 177.80/27.99 | | (20) ~ (all_52_3 = e3)
% 177.80/27.99 | |
% 177.80/27.99 | | REF_CLOSE: (1), (2), (4), (5), (6), (7), (8), (10), (12), (13), (15), (16),
% 177.80/27.99 | | (18), (20) are inconsistent by sub-proof #467.
% 177.80/27.99 | |
% 177.80/27.99 | Case 2:
% 177.80/27.99 | |
% 177.80/27.99 | | (21) all_58_3 = e3
% 177.80/27.99 | | (22) all_58_0 = e0
% 177.80/27.99 | |
% 177.80/27.99 | | COMBINE_EQS: (4), (22) imply:
% 177.80/27.99 | | (23) all_52_0 = e0
% 177.80/27.99 | |
% 177.80/27.99 | | SIMP: (23) implies:
% 177.80/27.99 | | (24) all_52_0 = e0
% 177.80/27.99 | |
% 177.80/27.99 | | COMBINE_EQS: (15), (21) imply:
% 177.80/27.99 | | (25) all_52_3 = e3
% 177.80/27.99 | |
% 177.80/27.99 | | REDUCE: (3), (24), (25) imply:
% 177.80/27.99 | | (26) ~ (e3 = e0)
% 177.80/27.99 | |
% 177.80/27.99 | | SIMP: (26) implies:
% 177.80/27.99 | | (27) ~ (e3 = e0)
% 177.80/27.99 | |
% 177.80/27.99 | | REDUCE: (2), (24) imply:
% 177.80/27.99 | | (28) op(e3, e0) = unit
% 177.80/27.99 | |
% 177.80/27.99 | | REF_CLOSE: (5), (9), (11), (14), (27), (28) are inconsistent by sub-proof
% 177.80/27.99 | | #466.
% 177.80/27.99 | |
% 177.80/27.99 | End of split
% 177.80/27.99 |
% 177.80/27.99 End of proof
% 177.80/27.99
% 177.80/27.99 Sub-proof #466 shows that the following formulas are inconsistent:
% 177.80/27.99 ----------------------------------------------------------------
% 177.80/27.99 (1) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 177.80/27.99 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 177.80/27.99 (2) op(all_36_1, e3) = e0
% 177.80/27.99 (3) op(e3, e0) = all_36_1
% 177.80/27.99 (4) op(unit, e3) = e3
% 177.80/27.99 (5) op(e3, e0) = unit
% 177.80/27.99 (6) ~ (e3 = e0)
% 177.80/27.99
% 177.80/27.99 Begin of proof
% 177.80/27.99 |
% 177.80/27.99 | GROUND_INST: instantiating (1) with all_36_1, unit, e0, e3, simplifying with
% 177.80/27.99 | (3), (5) gives:
% 177.80/27.99 | (7) all_36_1 = unit
% 177.80/27.99 |
% 177.80/27.99 | REDUCE: (2), (7) imply:
% 177.80/27.99 | (8) op(unit, e3) = e0
% 177.80/27.99 |
% 177.80/27.99 | GROUND_INST: instantiating (1) with e3, e0, e3, unit, simplifying with (4),
% 177.80/27.99 | (8) gives:
% 177.80/27.99 | (9) e3 = e0
% 177.80/27.99 |
% 177.80/27.99 | REDUCE: (6), (9) imply:
% 177.80/27.99 | (10) $false
% 177.80/27.99 |
% 177.80/27.99 | CLOSE: (10) is inconsistent.
% 177.80/27.99 |
% 177.80/27.99 End of proof
% 177.80/27.99
% 177.80/27.99 Sub-proof #467 shows that the following formulas are inconsistent:
% 177.80/27.99 ----------------------------------------------------------------
% 177.80/27.99 (1) all_56_0 = e3 | all_56_0 = e2 | all_56_0 = e1 | all_56_0 = e0
% 177.80/27.99 (2) op(e3, all_52_0) = unit
% 177.80/27.99 (3) ~ (all_52_3 = e3)
% 177.80/27.99 (4) all_58_0 = all_52_0
% 177.80/27.99 (5) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 177.80/27.99 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 177.80/27.99 (6) op(e2, unit) = e2
% 177.80/27.99 (7) ~ (all_61_13 = e2)
% 177.80/27.99 (8) ~ (all_52_0 = e1)
% 177.80/27.99 (9) ~ (all_58_0 = e0) | all_58_3 = e3
% 177.80/27.99 (10) op(e3, e3) = e0
% 177.80/27.99 (11) ~ (all_52_0 = e2)
% 177.80/27.99 (12) all_58_3 = all_52_3
% 177.80/27.99 (13) op(e2, e0) = all_61_13
% 177.80/27.99 (14) all_56_0 = all_52_0
% 177.80/27.99
% 177.80/27.99 Begin of proof
% 177.80/27.99 |
% 177.80/27.99 | BETA: splitting (9) gives:
% 177.80/27.99 |
% 177.80/27.99 | Case 1:
% 177.80/27.99 | |
% 177.80/27.99 | | (15) ~ (all_58_0 = e0)
% 177.80/27.99 | |
% 177.80/27.99 | | REDUCE: (4), (15) imply:
% 177.80/27.99 | | (16) ~ (all_52_0 = e0)
% 177.80/27.99 | |
% 177.80/27.99 | | BETA: splitting (1) gives:
% 177.80/27.99 | |
% 177.80/27.99 | | Case 1:
% 177.80/27.99 | | |
% 177.80/27.99 | | | (17) all_56_0 = e3
% 177.80/27.99 | | |
% 177.80/27.99 | | | COMBINE_EQS: (14), (17) imply:
% 177.80/27.99 | | | (18) all_52_0 = e3
% 177.80/27.99 | | |
% 177.80/27.99 | | | REDUCE: (2), (18) imply:
% 177.80/27.99 | | | (19) op(e3, e3) = unit
% 177.80/27.99 | | |
% 177.80/27.99 | | | GROUND_INST: instantiating (5) with e0, unit, e3, e3, simplifying with
% 177.80/27.99 | | | (10), (19) gives:
% 177.80/27.99 | | | (20) unit = e0
% 177.80/27.99 | | |
% 177.80/27.99 | | | REF_CLOSE: (5), (6), (7), (13), (20) are inconsistent by sub-proof #468.
% 177.80/27.99 | | |
% 177.80/27.99 | | Case 2:
% 177.80/27.99 | | |
% 177.80/27.99 | | | (21) all_56_0 = e2 | all_56_0 = e1 | all_56_0 = e0
% 177.80/27.99 | | |
% 177.80/27.99 | | | REF_CLOSE: (8), (11), (14), (16), (21) are inconsistent by sub-proof #512.
% 177.80/27.99 | | |
% 177.80/27.99 | | End of split
% 177.80/27.99 | |
% 177.80/27.99 | Case 2:
% 177.80/27.99 | |
% 177.80/27.99 | | (22) all_58_3 = e3
% 177.80/27.99 | |
% 177.80/27.99 | | REF_CLOSE: (3), (12), (22) are inconsistent by sub-proof #509.
% 177.80/27.99 | |
% 177.80/27.99 | End of split
% 177.80/27.99 |
% 177.80/27.99 End of proof
% 177.80/27.99
% 177.80/27.99 Sub-proof #468 shows that the following formulas are inconsistent:
% 177.80/27.99 ----------------------------------------------------------------
% 177.80/27.99 (1) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 177.80/27.99 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 177.80/27.99 (2) op(e2, unit) = e2
% 177.80/27.99 (3) ~ (all_61_13 = e2)
% 177.80/27.99 (4) op(e2, e0) = all_61_13
% 177.80/27.99 (5) unit = e0
% 177.80/27.99
% 177.80/27.99 Begin of proof
% 177.80/27.99 |
% 177.80/27.99 | REDUCE: (2), (5) imply:
% 177.80/27.99 | (6) op(e2, e0) = e2
% 177.80/27.99 |
% 177.80/27.99 | GROUND_INST: instantiating (1) with all_61_13, e2, e0, e2, simplifying with
% 177.80/27.99 | (4), (6) gives:
% 177.80/27.99 | (7) all_61_13 = e2
% 177.80/27.99 |
% 177.80/27.99 | REDUCE: (3), (7) imply:
% 177.80/27.99 | (8) $false
% 177.80/27.99 |
% 177.80/27.99 | CLOSE: (8) is inconsistent.
% 177.80/27.99 |
% 177.80/27.99 End of proof
% 177.80/27.99
% 177.80/27.99 Sub-proof #469 shows that the following formulas are inconsistent:
% 177.80/27.99 ----------------------------------------------------------------
% 177.80/27.99 (1) all_56_2 = e3 | all_56_2 = e2 | all_56_2 = e1 | all_56_2 = e0
% 177.80/27.99 (2) all_56_2 = all_52_2
% 177.80/27.99 (3) all_58_0 = all_52_0
% 177.80/27.99 (4) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 177.80/27.99 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 177.80/27.99 (5) ~ (all_52_2 = e0)
% 177.80/27.99 (6) ~ (all_52_0 = e1)
% 177.80/27.99 (7) op(e1, e1) = e1
% 177.80/27.99 (8) ~ (all_52_2 = e2)
% 177.80/27.99 (9) all_58_2 = all_52_2
% 177.80/27.99 (10) op(e1, e0) = all_61_14
% 177.80/27.99 (11) ~ (all_58_2 = e3) | all_58_0 = e1
% 177.80/27.99 (12) op(unit, e0) = e0
% 177.80/27.99 (13) op(e1, all_52_2) = unit
% 177.80/27.99 (14) ~ (all_61_14 = e0)
% 177.80/27.99
% 177.80/27.99 Begin of proof
% 177.80/27.99 |
% 177.80/27.99 | BETA: splitting (11) gives:
% 177.80/27.99 |
% 177.80/27.99 | Case 1:
% 177.80/27.99 | |
% 177.80/27.99 | | (15) ~ (all_58_2 = e3)
% 177.80/27.99 | |
% 177.80/27.99 | | REDUCE: (9), (15) imply:
% 177.80/27.99 | | (16) ~ (all_52_2 = e3)
% 177.80/27.99 | |
% 177.80/27.99 | | REF_CLOSE: (1), (2), (4), (5), (7), (8), (10), (12), (13), (14), (16) are
% 177.80/27.99 | | inconsistent by sub-proof #497.
% 177.80/27.99 | |
% 177.80/27.99 | Case 2:
% 177.80/27.99 | |
% 177.80/27.99 | | (17) all_58_0 = e1
% 177.80/27.99 | |
% 177.80/27.99 | | REF_CLOSE: (3), (6), (17) are inconsistent by sub-proof #470.
% 177.80/27.99 | |
% 177.80/27.99 | End of split
% 177.80/27.99 |
% 177.80/27.99 End of proof
% 177.80/27.99
% 177.80/27.99 Sub-proof #470 shows that the following formulas are inconsistent:
% 177.80/27.99 ----------------------------------------------------------------
% 177.80/27.99 (1) all_58_0 = all_52_0
% 177.80/27.99 (2) all_58_0 = e1
% 177.80/27.99 (3) ~ (all_52_0 = e1)
% 177.80/27.99
% 177.80/27.99 Begin of proof
% 177.80/27.99 |
% 177.80/27.99 | COMBINE_EQS: (1), (2) imply:
% 177.80/27.99 | (4) all_52_0 = e1
% 177.80/27.99 |
% 177.80/27.99 | SIMP: (4) implies:
% 177.80/27.99 | (5) all_52_0 = e1
% 177.80/27.99 |
% 177.80/27.99 | REDUCE: (3), (5) imply:
% 177.80/27.99 | (6) $false
% 177.80/27.99 |
% 177.80/27.99 | CLOSE: (6) is inconsistent.
% 177.80/27.99 |
% 177.80/27.99 End of proof
% 177.80/27.99
% 177.80/27.99 Sub-proof #471 shows that the following formulas are inconsistent:
% 177.80/27.99 ----------------------------------------------------------------
% 177.80/27.99 (1) ~ (all_61_1 = e2)
% 177.80/27.99 (2) all_63_4 = all_61_1
% 177.80/27.99 (3) all_63_4 = e2 | all_63_4 = e1 | all_63_4 = e0
% 177.80/27.99 (4) ~ (all_61_1 = e1)
% 177.80/27.99 (5) ~ (all_61_1 = e0)
% 177.80/27.99
% 177.80/27.99 Begin of proof
% 177.80/27.99 |
% 177.80/27.99 | BETA: splitting (3) gives:
% 177.80/27.99 |
% 177.80/27.99 | Case 1:
% 177.80/27.99 | |
% 177.80/27.99 | | (6) all_63_4 = e2
% 177.80/27.99 | |
% 177.80/27.99 | | COMBINE_EQS: (2), (6) imply:
% 177.80/27.99 | | (7) all_61_1 = e2
% 177.80/27.99 | |
% 177.80/27.99 | | SIMP: (7) implies:
% 177.80/27.99 | | (8) all_61_1 = e2
% 177.80/27.99 | |
% 177.80/27.99 | | REDUCE: (1), (8) imply:
% 177.80/27.99 | | (9) $false
% 177.80/27.99 | |
% 177.80/27.99 | | CLOSE: (9) is inconsistent.
% 177.80/27.99 | |
% 177.80/27.99 | Case 2:
% 177.80/27.99 | |
% 177.80/27.99 | | (10) all_63_4 = e1 | all_63_4 = e0
% 177.80/27.99 | |
% 177.80/27.99 | | REF_CLOSE: (2), (4), (5), (10) are inconsistent by sub-proof #472.
% 177.80/27.99 | |
% 177.80/27.99 | End of split
% 177.80/27.99 |
% 177.80/27.99 End of proof
% 177.80/27.99
% 177.80/27.99 Sub-proof #472 shows that the following formulas are inconsistent:
% 177.80/27.99 ----------------------------------------------------------------
% 177.80/27.99 (1) all_63_4 = e1 | all_63_4 = e0
% 177.80/27.99 (2) all_63_4 = all_61_1
% 177.80/27.99 (3) ~ (all_61_1 = e1)
% 177.80/27.99 (4) ~ (all_61_1 = e0)
% 177.80/27.99
% 177.80/27.99 Begin of proof
% 177.80/27.99 |
% 177.80/27.99 | BETA: splitting (1) gives:
% 177.80/27.99 |
% 177.80/27.99 | Case 1:
% 177.80/27.99 | |
% 177.80/27.99 | | (5) all_63_4 = e1
% 177.80/27.99 | |
% 177.80/27.99 | | COMBINE_EQS: (2), (5) imply:
% 177.80/27.99 | | (6) all_61_1 = e1
% 177.80/27.99 | |
% 177.80/27.99 | | REDUCE: (3), (6) imply:
% 177.80/27.99 | | (7) $false
% 177.80/27.99 | |
% 177.80/27.99 | | CLOSE: (7) is inconsistent.
% 177.80/27.99 | |
% 177.80/27.99 | Case 2:
% 177.80/27.99 | |
% 177.80/27.99 | | (8) all_63_4 = e0
% 177.80/27.99 | |
% 177.80/27.99 | | COMBINE_EQS: (2), (8) imply:
% 177.80/27.99 | | (9) all_61_1 = e0
% 177.80/27.99 | |
% 177.80/27.99 | | REDUCE: (4), (9) imply:
% 177.80/27.99 | | (10) $false
% 177.80/27.99 | |
% 177.80/27.99 | | CLOSE: (10) is inconsistent.
% 177.80/27.99 | |
% 177.80/27.99 | End of split
% 177.80/27.99 |
% 177.80/27.99 End of proof
% 177.80/27.99
% 177.80/27.99 Sub-proof #473 shows that the following formulas are inconsistent:
% 177.80/27.99 ----------------------------------------------------------------
% 177.80/27.99 (1) all_63_7 = all_61_13
% 177.80/27.99 (2) all_63_7 = e3 | all_63_7 = e2 | all_63_7 = e1 | all_63_7 = e0
% 177.80/27.99 (3) ~ (all_61_13 = e2)
% 177.80/27.99 (4) ~ (all_61_13 = e1)
% 177.80/27.99 (5) ~ (all_61_13 = e3)
% 177.80/27.99 (6) ~ (all_61_13 = e0)
% 177.80/27.99
% 177.80/27.99 Begin of proof
% 177.80/27.99 |
% 177.80/27.99 | BETA: splitting (2) gives:
% 177.80/27.99 |
% 177.80/27.99 | Case 1:
% 177.80/27.99 | |
% 177.80/27.99 | | (7) all_63_7 = e3
% 177.80/27.99 | |
% 177.80/27.99 | | COMBINE_EQS: (1), (7) imply:
% 177.80/27.99 | | (8) all_61_13 = e3
% 177.80/27.99 | |
% 177.80/27.99 | | REDUCE: (5), (8) imply:
% 177.80/27.99 | | (9) $false
% 177.80/27.99 | |
% 177.80/27.99 | | CLOSE: (9) is inconsistent.
% 177.80/27.99 | |
% 177.80/27.99 | Case 2:
% 177.80/27.99 | |
% 177.80/27.99 | | (10) all_63_7 = e2 | all_63_7 = e1 | all_63_7 = e0
% 177.80/27.99 | |
% 177.80/27.99 | | REF_CLOSE: (1), (3), (4), (6), (10) are inconsistent by sub-proof #474.
% 177.80/27.99 | |
% 177.80/27.99 | End of split
% 177.80/27.99 |
% 177.80/27.99 End of proof
% 177.80/27.99
% 177.80/27.99 Sub-proof #474 shows that the following formulas are inconsistent:
% 177.80/27.99 ----------------------------------------------------------------
% 177.80/27.99 (1) all_63_7 = all_61_13
% 177.80/27.99 (2) ~ (all_61_13 = e2)
% 177.80/27.99 (3) all_63_7 = e2 | all_63_7 = e1 | all_63_7 = e0
% 177.80/27.99 (4) ~ (all_61_13 = e1)
% 177.80/27.99 (5) ~ (all_61_13 = e0)
% 177.80/27.99
% 177.80/27.99 Begin of proof
% 177.80/27.99 |
% 177.80/27.99 | BETA: splitting (3) gives:
% 177.80/27.99 |
% 177.80/27.99 | Case 1:
% 177.80/27.99 | |
% 177.80/27.99 | | (6) all_63_7 = e2
% 177.80/27.99 | |
% 177.80/27.99 | | COMBINE_EQS: (1), (6) imply:
% 177.80/27.99 | | (7) all_61_13 = e2
% 177.80/27.99 | |
% 177.80/27.99 | | REDUCE: (2), (7) imply:
% 177.80/27.99 | | (8) $false
% 177.80/27.99 | |
% 177.80/27.99 | | CLOSE: (8) is inconsistent.
% 177.80/27.99 | |
% 177.80/27.99 | Case 2:
% 177.80/27.99 | |
% 177.80/27.99 | | (9) all_63_7 = e1 | all_63_7 = e0
% 177.80/27.99 | |
% 177.80/27.99 | | REF_CLOSE: (1), (4), (5), (9) are inconsistent by sub-proof #475.
% 177.80/27.99 | |
% 177.80/27.99 | End of split
% 177.80/27.99 |
% 177.80/27.99 End of proof
% 177.80/27.99
% 177.80/27.99 Sub-proof #475 shows that the following formulas are inconsistent:
% 177.80/27.99 ----------------------------------------------------------------
% 177.80/27.99 (1) all_63_7 = e1 | all_63_7 = e0
% 177.80/27.99 (2) all_63_7 = all_61_13
% 177.80/27.99 (3) ~ (all_61_13 = e1)
% 177.80/27.99 (4) ~ (all_61_13 = e0)
% 177.80/27.99
% 177.80/27.99 Begin of proof
% 177.80/27.99 |
% 177.80/27.99 | BETA: splitting (1) gives:
% 177.80/27.99 |
% 177.80/27.99 | Case 1:
% 177.80/27.99 | |
% 177.80/27.99 | | (5) all_63_7 = e1
% 177.80/27.99 | |
% 177.80/27.99 | | COMBINE_EQS: (2), (5) imply:
% 177.80/27.99 | | (6) all_61_13 = e1
% 177.80/27.99 | |
% 177.80/27.99 | | REDUCE: (3), (6) imply:
% 177.80/27.99 | | (7) $false
% 177.80/27.99 | |
% 177.80/27.99 | | CLOSE: (7) is inconsistent.
% 177.80/27.99 | |
% 177.80/27.99 | Case 2:
% 177.80/27.99 | |
% 177.80/27.99 | | (8) all_63_7 = e0
% 177.80/27.99 | |
% 177.80/27.99 | | COMBINE_EQS: (2), (8) imply:
% 177.80/27.99 | | (9) all_61_13 = e0
% 177.80/27.99 | |
% 177.80/27.99 | | REDUCE: (4), (9) imply:
% 177.80/27.99 | | (10) $false
% 177.80/27.99 | |
% 177.80/27.99 | | CLOSE: (10) is inconsistent.
% 177.80/27.99 | |
% 177.80/27.99 | End of split
% 177.80/27.99 |
% 177.80/27.99 End of proof
% 177.80/27.99
% 177.80/27.99 Sub-proof #476 shows that the following formulas are inconsistent:
% 177.80/27.99 ----------------------------------------------------------------
% 177.80/27.99 (1) op(all_42_1, e0) = e1
% 177.80/27.99 (2) all_58_3 = e1
% 177.80/27.99 (3) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 177.80/27.99 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 177.80/27.99 (4) all_58_2 = e0
% 177.80/27.99 (5) op(e1, e0) = all_42_1
% 177.80/27.99 (6) all_58_3 = all_52_3
% 177.80/27.99 (7) all_58_2 = all_52_2
% 177.80/27.99 (8) op(unit, e0) = e0
% 177.80/27.99 (9) op(e1, all_52_2) = unit
% 177.80/27.99 (10) ~ (all_52_2 = all_52_3)
% 177.80/27.99
% 177.80/27.99 Begin of proof
% 177.80/27.99 |
% 177.80/27.99 | COMBINE_EQS: (4), (7) imply:
% 177.80/27.99 | (11) all_52_2 = e0
% 177.80/27.99 |
% 177.80/27.99 | COMBINE_EQS: (2), (6) imply:
% 177.80/27.99 | (12) all_52_3 = e1
% 177.80/27.99 |
% 177.80/27.99 | SIMP: (12) implies:
% 177.80/27.99 | (13) all_52_3 = e1
% 177.80/27.99 |
% 177.80/27.99 | REF_CLOSE: (1), (3), (5), (8), (9), (10), (11), (13) are inconsistent by
% 177.80/27.99 | sub-proof #477.
% 177.80/27.99 |
% 177.80/27.99 End of proof
% 177.80/27.99
% 177.80/27.99 Sub-proof #477 shows that the following formulas are inconsistent:
% 177.80/27.99 ----------------------------------------------------------------
% 177.80/27.99 (1) op(all_42_1, e0) = e1
% 177.80/27.99 (2) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 177.80/27.99 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 177.80/27.99 (3) all_52_2 = e0
% 177.80/27.99 (4) op(e1, e0) = all_42_1
% 177.80/27.99 (5) all_52_3 = e1
% 177.80/27.99 (6) op(unit, e0) = e0
% 177.80/27.99 (7) op(e1, all_52_2) = unit
% 177.80/27.99 (8) ~ (all_52_2 = all_52_3)
% 177.80/27.99
% 177.80/27.99 Begin of proof
% 177.80/27.99 |
% 177.80/27.99 | REDUCE: (3), (5), (8) imply:
% 177.80/27.99 | (9) ~ (e1 = e0)
% 177.80/27.99 |
% 177.80/27.99 | SIMP: (9) implies:
% 177.80/27.99 | (10) ~ (e1 = e0)
% 177.80/27.99 |
% 177.80/27.99 | REDUCE: (3), (7) imply:
% 177.80/27.99 | (11) op(e1, e0) = unit
% 177.80/27.99 |
% 177.80/27.99 | REF_CLOSE: (1), (2), (4), (6), (10), (11) are inconsistent by sub-proof #478.
% 177.80/27.99 |
% 177.80/27.99 End of proof
% 177.80/27.99
% 177.80/27.99 Sub-proof #478 shows that the following formulas are inconsistent:
% 177.80/27.99 ----------------------------------------------------------------
% 177.80/27.99 (1) op(all_42_1, e0) = e1
% 177.80/27.99 (2) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 177.80/27.99 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 177.80/27.99 (3) op(e1, e0) = all_42_1
% 177.80/27.99 (4) ~ (e1 = e0)
% 177.80/27.99 (5) op(e1, e0) = unit
% 177.80/27.99 (6) op(unit, e0) = e0
% 177.80/27.99
% 177.80/27.99 Begin of proof
% 177.80/27.99 |
% 177.80/27.99 | GROUND_INST: instantiating (2) with all_42_1, unit, e0, e1, simplifying with
% 177.80/27.99 | (3), (5) gives:
% 177.80/27.99 | (7) all_42_1 = unit
% 177.80/27.99 |
% 177.80/27.99 | REDUCE: (1), (7) imply:
% 177.80/27.99 | (8) op(unit, e0) = e1
% 177.80/27.99 |
% 177.80/27.99 | GROUND_INST: instantiating (2) with e0, e1, e0, unit, simplifying with (6),
% 177.80/27.99 | (8) gives:
% 177.80/27.99 | (9) e1 = e0
% 177.80/27.99 |
% 177.80/27.99 | REDUCE: (4), (9) imply:
% 177.80/27.99 | (10) $false
% 177.80/27.99 |
% 177.80/27.99 | CLOSE: (10) is inconsistent.
% 177.80/27.99 |
% 177.80/27.99 End of proof
% 177.80/27.99
% 177.80/27.99 Sub-proof #479 shows that the following formulas are inconsistent:
% 177.80/27.99 ----------------------------------------------------------------
% 177.80/27.99 (1) all_56_2 = e3 | all_56_2 = e2 | all_56_2 = e1 | all_56_2 = e0
% 177.80/27.99 (2) all_56_2 = all_52_2
% 177.80/27.99 (3) ~ (all_61_9 = e2)
% 177.80/27.99 (4) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 177.80/27.99 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 177.80/27.99 (5) ~ (all_52_2 = e0)
% 177.80/27.99 (6) op(e2, unit) = e2
% 177.80/28.00 (7) op(e1, e1) = e1
% 177.80/28.00 (8) ~ (all_52_2 = e2)
% 177.80/28.00 (9) all_58_2 = all_52_2
% 177.80/28.00 (10) op(e1, all_52_2) = unit
% 177.80/28.00 (11) op(e2, e1) = all_61_9
% 177.80/28.00 (12) ~ (all_58_2 = e3)
% 177.80/28.00
% 177.80/28.00 Begin of proof
% 177.80/28.00 |
% 177.80/28.00 | REDUCE: (9), (12) imply:
% 177.80/28.00 | (13) ~ (all_52_2 = e3)
% 177.80/28.00 |
% 177.80/28.00 | BETA: splitting (1) gives:
% 177.80/28.00 |
% 177.80/28.00 | Case 1:
% 177.80/28.00 | |
% 177.80/28.00 | | (14) all_56_2 = e3
% 177.80/28.00 | |
% 177.80/28.00 | | REF_CLOSE: (2), (13), (14) are inconsistent by sub-proof #482.
% 177.80/28.00 | |
% 177.80/28.00 | Case 2:
% 177.80/28.00 | |
% 177.80/28.00 | | (15) all_56_2 = e2 | all_56_2 = e1 | all_56_2 = e0
% 177.80/28.00 | |
% 177.80/28.00 | | BETA: splitting (15) gives:
% 177.80/28.00 | |
% 177.80/28.00 | | Case 1:
% 177.80/28.00 | | |
% 177.80/28.00 | | | (16) all_56_2 = e2
% 177.80/28.00 | | |
% 177.80/28.00 | | | REF_CLOSE: (2), (8), (16) are inconsistent by sub-proof #481.
% 177.80/28.00 | | |
% 177.80/28.00 | | Case 2:
% 177.80/28.00 | | |
% 177.80/28.00 | | | (17) all_56_2 = e1 | all_56_2 = e0
% 177.80/28.00 | | |
% 177.80/28.00 | | | BETA: splitting (17) gives:
% 177.80/28.00 | | |
% 177.80/28.00 | | | Case 1:
% 177.80/28.00 | | | |
% 177.80/28.00 | | | | (18) all_56_2 = e1
% 177.80/28.00 | | | |
% 177.80/28.00 | | | | COMBINE_EQS: (2), (18) imply:
% 177.80/28.00 | | | | (19) all_52_2 = e1
% 177.80/28.00 | | | |
% 177.80/28.00 | | | | SIMP: (19) implies:
% 177.80/28.00 | | | | (20) all_52_2 = e1
% 177.80/28.00 | | | |
% 177.80/28.00 | | | | REDUCE: (10), (20) imply:
% 177.80/28.00 | | | | (21) op(e1, e1) = unit
% 177.80/28.00 | | | |
% 177.80/28.00 | | | | GROUND_INST: instantiating (4) with e1, unit, e1, e1, simplifying with
% 177.80/28.00 | | | | (7), (21) gives:
% 177.80/28.00 | | | | (22) unit = e1
% 177.80/28.00 | | | |
% 177.80/28.00 | | | | REDUCE: (6), (22) imply:
% 177.80/28.00 | | | | (23) op(e2, e1) = e2
% 177.80/28.00 | | | |
% 177.80/28.00 | | | | GROUND_INST: instantiating (4) with all_61_9, e2, e1, e2, simplifying
% 177.80/28.00 | | | | with (11), (23) gives:
% 177.80/28.00 | | | | (24) all_61_9 = e2
% 177.80/28.00 | | | |
% 177.80/28.00 | | | | REDUCE: (3), (24) imply:
% 177.80/28.00 | | | | (25) $false
% 177.80/28.00 | | | |
% 177.80/28.00 | | | | CLOSE: (25) is inconsistent.
% 177.80/28.00 | | | |
% 177.80/28.00 | | | Case 2:
% 177.80/28.00 | | | |
% 177.80/28.00 | | | | (26) all_56_2 = e0
% 177.80/28.00 | | | |
% 177.80/28.00 | | | | REF_CLOSE: (2), (5), (26) are inconsistent by sub-proof #480.
% 177.80/28.00 | | | |
% 177.80/28.00 | | | End of split
% 177.80/28.00 | | |
% 177.80/28.00 | | End of split
% 177.80/28.00 | |
% 177.80/28.00 | End of split
% 177.80/28.00 |
% 177.80/28.00 End of proof
% 177.80/28.00
% 177.80/28.00 Sub-proof #480 shows that the following formulas are inconsistent:
% 177.80/28.00 ----------------------------------------------------------------
% 177.80/28.00 (1) all_56_2 = all_52_2
% 177.80/28.00 (2) all_56_2 = e0
% 177.80/28.00 (3) ~ (all_52_2 = e0)
% 177.80/28.00
% 177.80/28.00 Begin of proof
% 177.80/28.00 |
% 177.80/28.00 | COMBINE_EQS: (1), (2) imply:
% 177.80/28.00 | (4) all_52_2 = e0
% 177.80/28.00 |
% 177.80/28.00 | SIMP: (4) implies:
% 177.80/28.00 | (5) all_52_2 = e0
% 177.80/28.00 |
% 177.80/28.00 | REDUCE: (3), (5) imply:
% 177.80/28.00 | (6) $false
% 177.80/28.00 |
% 177.80/28.00 | CLOSE: (6) is inconsistent.
% 177.80/28.00 |
% 177.80/28.00 End of proof
% 177.80/28.00
% 177.80/28.00 Sub-proof #481 shows that the following formulas are inconsistent:
% 177.80/28.00 ----------------------------------------------------------------
% 177.80/28.00 (1) all_56_2 = all_52_2
% 177.80/28.00 (2) all_56_2 = e2
% 177.80/28.00 (3) ~ (all_52_2 = e2)
% 177.80/28.00
% 177.80/28.00 Begin of proof
% 177.80/28.00 |
% 177.80/28.00 | COMBINE_EQS: (1), (2) imply:
% 177.80/28.00 | (4) all_52_2 = e2
% 177.80/28.00 |
% 177.80/28.00 | SIMP: (4) implies:
% 177.80/28.00 | (5) all_52_2 = e2
% 177.80/28.00 |
% 177.80/28.00 | REDUCE: (3), (5) imply:
% 177.80/28.00 | (6) $false
% 177.80/28.00 |
% 177.80/28.00 | CLOSE: (6) is inconsistent.
% 177.80/28.00 |
% 177.80/28.00 End of proof
% 177.80/28.00
% 177.80/28.00 Sub-proof #482 shows that the following formulas are inconsistent:
% 177.80/28.00 ----------------------------------------------------------------
% 177.80/28.00 (1) all_56_2 = all_52_2
% 177.80/28.00 (2) all_56_2 = e3
% 177.80/28.00 (3) ~ (all_52_2 = e3)
% 177.80/28.00
% 177.80/28.00 Begin of proof
% 177.80/28.00 |
% 177.80/28.00 | COMBINE_EQS: (1), (2) imply:
% 177.80/28.00 | (4) all_52_2 = e3
% 177.80/28.00 |
% 177.80/28.00 | SIMP: (4) implies:
% 177.80/28.00 | (5) all_52_2 = e3
% 177.80/28.00 |
% 177.80/28.00 | REDUCE: (3), (5) imply:
% 177.80/28.00 | (6) $false
% 177.80/28.00 |
% 177.80/28.00 | CLOSE: (6) is inconsistent.
% 177.80/28.00 |
% 177.80/28.00 End of proof
% 177.80/28.00
% 177.80/28.00 Sub-proof #483 shows that the following formulas are inconsistent:
% 177.80/28.00 ----------------------------------------------------------------
% 177.80/28.00 (1) op(e3, all_52_0) = unit
% 177.80/28.00 (2) all_58_0 = all_52_0
% 177.80/28.00 (3) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 177.80/28.00 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 177.80/28.00 (4) op(unit, e3) = e3
% 177.80/28.00 (5) all_58_2 = all_52_2
% 177.80/28.00 (6) op(e3, e1) = all_40_1
% 177.80/28.00 (7) ~ (all_52_0 = all_52_2)
% 177.80/28.00 (8) all_58_0 = e1
% 177.80/28.00 (9) all_58_2 = e3
% 177.80/28.00 (10) op(all_40_1, e3) = e1
% 177.80/28.00
% 177.80/28.00 Begin of proof
% 177.80/28.00 |
% 177.80/28.00 | COMBINE_EQS: (2), (8) imply:
% 177.80/28.00 | (11) all_52_0 = e1
% 177.80/28.00 |
% 177.80/28.00 | SIMP: (11) implies:
% 177.80/28.00 | (12) all_52_0 = e1
% 177.80/28.00 |
% 177.80/28.00 | COMBINE_EQS: (5), (9) imply:
% 177.80/28.00 | (13) all_52_2 = e3
% 177.80/28.00 |
% 177.80/28.00 | REDUCE: (7), (12), (13) imply:
% 177.80/28.00 | (14) ~ (e3 = e1)
% 177.80/28.00 |
% 177.80/28.00 | SIMP: (14) implies:
% 177.80/28.00 | (15) ~ (e3 = e1)
% 177.80/28.00 |
% 177.80/28.00 | REDUCE: (1), (12) imply:
% 177.80/28.00 | (16) op(e3, e1) = unit
% 177.80/28.00 |
% 177.80/28.00 | REF_CLOSE: (3), (4), (6), (10), (15), (16) are inconsistent by sub-proof #484.
% 177.80/28.00 |
% 177.80/28.00 End of proof
% 177.80/28.00
% 177.80/28.00 Sub-proof #484 shows that the following formulas are inconsistent:
% 177.80/28.00 ----------------------------------------------------------------
% 177.80/28.00 (1) op(e3, e1) = unit
% 177.80/28.00 (2) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 177.80/28.00 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 177.80/28.00 (3) op(unit, e3) = e3
% 177.80/28.00 (4) op(e3, e1) = all_40_1
% 177.80/28.00 (5) ~ (e3 = e1)
% 177.80/28.00 (6) op(all_40_1, e3) = e1
% 177.80/28.00
% 177.80/28.00 Begin of proof
% 177.80/28.00 |
% 177.80/28.00 | GROUND_INST: instantiating (2) with all_40_1, unit, e1, e3, simplifying with
% 177.80/28.00 | (1), (4) gives:
% 177.80/28.00 | (7) all_40_1 = unit
% 177.80/28.00 |
% 177.80/28.00 | REDUCE: (6), (7) imply:
% 177.80/28.00 | (8) op(unit, e3) = e1
% 177.80/28.00 |
% 177.80/28.00 | GROUND_INST: instantiating (2) with e3, e1, e3, unit, simplifying with (3),
% 177.80/28.00 | (8) gives:
% 177.80/28.00 | (9) e3 = e1
% 177.80/28.00 |
% 177.80/28.00 | REDUCE: (5), (9) imply:
% 177.80/28.00 | (10) $false
% 177.80/28.00 |
% 177.80/28.00 | CLOSE: (10) is inconsistent.
% 177.80/28.00 |
% 177.80/28.00 End of proof
% 177.80/28.00
% 177.80/28.00 Sub-proof #485 shows that the following formulas are inconsistent:
% 177.80/28.00 ----------------------------------------------------------------
% 177.80/28.00 (1) ~ (all_61_4 = e2)
% 177.80/28.00 (2) ~ (all_61_4 = e0)
% 177.80/28.00 (3) all_63_1 = e2 | all_63_1 = e1 | all_63_1 = e0
% 177.80/28.00 (4) ~ (all_61_4 = e1)
% 177.80/28.00 (5) all_63_1 = all_61_4
% 177.80/28.00
% 177.80/28.00 Begin of proof
% 177.80/28.00 |
% 177.80/28.00 | BETA: splitting (3) gives:
% 177.80/28.00 |
% 177.80/28.00 | Case 1:
% 177.80/28.00 | |
% 177.80/28.00 | | (6) all_63_1 = e2
% 177.80/28.00 | |
% 177.80/28.00 | | COMBINE_EQS: (5), (6) imply:
% 177.80/28.00 | | (7) all_61_4 = e2
% 177.80/28.00 | |
% 177.80/28.00 | | REDUCE: (1), (7) imply:
% 177.80/28.00 | | (8) $false
% 177.80/28.00 | |
% 177.80/28.00 | | CLOSE: (8) is inconsistent.
% 177.80/28.00 | |
% 177.80/28.00 | Case 2:
% 177.80/28.00 | |
% 177.80/28.00 | | (9) all_63_1 = e1 | all_63_1 = e0
% 177.80/28.00 | |
% 177.80/28.00 | | REF_CLOSE: (2), (4), (5), (9) are inconsistent by sub-proof #486.
% 177.80/28.00 | |
% 177.80/28.00 | End of split
% 177.80/28.00 |
% 177.80/28.00 End of proof
% 177.80/28.00
% 177.80/28.00 Sub-proof #486 shows that the following formulas are inconsistent:
% 177.80/28.00 ----------------------------------------------------------------
% 177.80/28.00 (1) all_63_1 = e1 | all_63_1 = e0
% 177.80/28.00 (2) all_63_1 = all_61_4
% 177.80/28.00 (3) ~ (all_61_4 = e1)
% 177.80/28.00 (4) ~ (all_61_4 = e0)
% 177.80/28.00
% 177.80/28.00 Begin of proof
% 177.80/28.00 |
% 177.80/28.00 | BETA: splitting (1) gives:
% 177.80/28.00 |
% 177.80/28.00 | Case 1:
% 177.80/28.00 | |
% 177.80/28.00 | | (5) all_63_1 = e1
% 177.80/28.00 | |
% 177.80/28.00 | | COMBINE_EQS: (2), (5) imply:
% 177.80/28.00 | | (6) all_61_4 = e1
% 177.80/28.00 | |
% 177.80/28.00 | | REDUCE: (3), (6) imply:
% 177.80/28.00 | | (7) $false
% 177.80/28.00 | |
% 177.80/28.00 | | CLOSE: (7) is inconsistent.
% 177.80/28.00 | |
% 177.80/28.00 | Case 2:
% 177.80/28.00 | |
% 177.80/28.00 | | (8) all_63_1 = e0
% 177.80/28.00 | |
% 177.80/28.00 | | COMBINE_EQS: (2), (8) imply:
% 177.80/28.00 | | (9) all_61_4 = e0
% 177.80/28.00 | |
% 177.80/28.00 | | REDUCE: (4), (9) imply:
% 177.80/28.00 | | (10) $false
% 177.80/28.00 | |
% 177.80/28.00 | | CLOSE: (10) is inconsistent.
% 177.80/28.00 | |
% 177.80/28.00 | End of split
% 177.80/28.00 |
% 177.80/28.00 End of proof
% 177.80/28.00
% 177.80/28.00 Sub-proof #487 shows that the following formulas are inconsistent:
% 177.80/28.00 ----------------------------------------------------------------
% 177.80/28.00 (1) ~ (all_40_1 = e0)
% 177.80/28.00 (2) all_63_8 = all_40_1
% 177.80/28.00 (3) ~ (all_40_1 = e1)
% 177.80/28.00 (4) ~ (all_40_1 = e2)
% 177.80/28.00 (5) all_63_8 = e2 | all_63_8 = e1 | all_63_8 = e0
% 177.80/28.00
% 177.80/28.00 Begin of proof
% 177.80/28.00 |
% 177.80/28.00 | BETA: splitting (5) gives:
% 177.80/28.00 |
% 177.80/28.00 | Case 1:
% 177.80/28.00 | |
% 177.80/28.00 | | (6) all_63_8 = e2
% 177.80/28.00 | |
% 177.80/28.00 | | COMBINE_EQS: (2), (6) imply:
% 177.80/28.00 | | (7) all_40_1 = e2
% 177.80/28.00 | |
% 177.80/28.00 | | REDUCE: (4), (7) imply:
% 177.80/28.00 | | (8) $false
% 177.80/28.00 | |
% 177.80/28.00 | | CLOSE: (8) is inconsistent.
% 177.80/28.00 | |
% 177.80/28.00 | Case 2:
% 177.80/28.00 | |
% 177.80/28.00 | | (9) all_63_8 = e1 | all_63_8 = e0
% 177.80/28.00 | |
% 177.80/28.00 | | REF_CLOSE: (1), (2), (3), (9) are inconsistent by sub-proof #488.
% 177.80/28.00 | |
% 177.80/28.00 | End of split
% 177.80/28.00 |
% 177.80/28.00 End of proof
% 177.80/28.00
% 177.80/28.00 Sub-proof #488 shows that the following formulas are inconsistent:
% 177.80/28.00 ----------------------------------------------------------------
% 177.80/28.00 (1) all_63_8 = e1 | all_63_8 = e0
% 177.80/28.00 (2) all_63_8 = all_40_1
% 177.80/28.00 (3) ~ (all_40_1 = e1)
% 177.80/28.00 (4) ~ (all_40_1 = e0)
% 177.80/28.00
% 177.80/28.00 Begin of proof
% 177.80/28.00 |
% 177.80/28.00 | BETA: splitting (1) gives:
% 177.80/28.00 |
% 177.80/28.00 | Case 1:
% 177.80/28.00 | |
% 177.80/28.00 | | (5) all_63_8 = e1
% 177.80/28.00 | |
% 177.80/28.00 | | COMBINE_EQS: (2), (5) imply:
% 177.80/28.00 | | (6) all_40_1 = e1
% 177.80/28.00 | |
% 177.80/28.00 | | REDUCE: (3), (6) imply:
% 177.80/28.00 | | (7) $false
% 177.80/28.00 | |
% 177.80/28.00 | | CLOSE: (7) is inconsistent.
% 177.80/28.00 | |
% 177.80/28.00 | Case 2:
% 177.80/28.00 | |
% 177.80/28.00 | | (8) all_63_8 = e0
% 177.80/28.00 | |
% 177.80/28.00 | | COMBINE_EQS: (2), (8) imply:
% 177.80/28.00 | | (9) all_40_1 = e0
% 177.80/28.00 | |
% 177.80/28.00 | | REDUCE: (4), (9) imply:
% 177.80/28.00 | | (10) $false
% 177.80/28.00 | |
% 177.80/28.00 | | CLOSE: (10) is inconsistent.
% 177.80/28.00 | |
% 177.80/28.00 | End of split
% 177.80/28.00 |
% 177.80/28.00 End of proof
% 177.80/28.00
% 177.80/28.00 Sub-proof #489 shows that the following formulas are inconsistent:
% 177.80/28.00 ----------------------------------------------------------------
% 177.80/28.00 (1) all_63_3 = all_61_12
% 177.80/28.00 (2) ~ (all_61_12 = e0)
% 177.80/28.00 (3) ~ (all_61_12 = e1)
% 177.80/28.00 (4) all_63_3 = e2 | all_63_3 = e1 | all_63_3 = e0
% 177.80/28.00 (5) ~ (all_61_12 = e2)
% 177.80/28.00
% 177.80/28.00 Begin of proof
% 177.80/28.00 |
% 177.80/28.00 | BETA: splitting (4) gives:
% 177.80/28.00 |
% 177.80/28.00 | Case 1:
% 177.80/28.00 | |
% 177.80/28.00 | | (6) all_63_3 = e2
% 177.80/28.00 | |
% 177.80/28.00 | | REF_CLOSE: (1), (5), (6) are inconsistent by sub-proof #492.
% 177.80/28.00 | |
% 177.80/28.00 | Case 2:
% 177.80/28.00 | |
% 177.80/28.00 | | (7) all_63_3 = e1 | all_63_3 = e0
% 177.80/28.00 | |
% 177.80/28.00 | | REF_CLOSE: (1), (2), (3), (7) are inconsistent by sub-proof #490.
% 177.80/28.00 | |
% 177.80/28.00 | End of split
% 177.80/28.00 |
% 177.80/28.00 End of proof
% 177.80/28.00
% 177.80/28.00 Sub-proof #490 shows that the following formulas are inconsistent:
% 177.80/28.00 ----------------------------------------------------------------
% 177.80/28.00 (1) all_63_3 = e1 | all_63_3 = e0
% 177.80/28.00 (2) all_63_3 = all_61_12
% 177.80/28.00 (3) ~ (all_61_12 = e1)
% 177.80/28.00 (4) ~ (all_61_12 = e0)
% 177.80/28.00
% 177.80/28.00 Begin of proof
% 177.80/28.00 |
% 177.80/28.00 | BETA: splitting (1) gives:
% 177.80/28.00 |
% 177.80/28.00 | Case 1:
% 177.80/28.00 | |
% 177.80/28.00 | | (5) all_63_3 = e1
% 177.80/28.00 | |
% 177.80/28.00 | | REF_CLOSE: (2), (3), (5) are inconsistent by sub-proof #491.
% 177.80/28.00 | |
% 177.80/28.00 | Case 2:
% 177.80/28.00 | |
% 177.80/28.00 | | (6) all_63_3 = e0
% 177.80/28.00 | |
% 177.80/28.00 | | COMBINE_EQS: (2), (6) imply:
% 177.80/28.00 | | (7) all_61_12 = e0
% 177.80/28.00 | |
% 177.80/28.00 | | SIMP: (7) implies:
% 177.80/28.00 | | (8) all_61_12 = e0
% 177.80/28.00 | |
% 177.80/28.00 | | REDUCE: (4), (8) imply:
% 177.80/28.00 | | (9) $false
% 177.80/28.00 | |
% 177.80/28.00 | | CLOSE: (9) is inconsistent.
% 177.80/28.00 | |
% 177.80/28.00 | End of split
% 177.80/28.00 |
% 177.80/28.00 End of proof
% 177.80/28.00
% 177.80/28.00 Sub-proof #491 shows that the following formulas are inconsistent:
% 177.80/28.00 ----------------------------------------------------------------
% 177.80/28.00 (1) all_63_3 = all_61_12
% 177.80/28.00 (2) all_63_3 = e1
% 177.80/28.00 (3) ~ (all_61_12 = e1)
% 177.80/28.00
% 177.80/28.00 Begin of proof
% 177.80/28.00 |
% 177.80/28.00 | COMBINE_EQS: (1), (2) imply:
% 177.80/28.00 | (4) all_61_12 = e1
% 177.80/28.00 |
% 177.80/28.00 | SIMP: (4) implies:
% 177.80/28.00 | (5) all_61_12 = e1
% 177.80/28.00 |
% 177.80/28.00 | REDUCE: (3), (5) imply:
% 177.80/28.00 | (6) $false
% 177.80/28.00 |
% 177.80/28.00 | CLOSE: (6) is inconsistent.
% 177.80/28.00 |
% 177.80/28.00 End of proof
% 177.80/28.00
% 177.80/28.00 Sub-proof #492 shows that the following formulas are inconsistent:
% 177.80/28.00 ----------------------------------------------------------------
% 177.80/28.00 (1) all_63_3 = all_61_12
% 177.80/28.00 (2) all_63_3 = e2
% 177.80/28.00 (3) ~ (all_61_12 = e2)
% 177.80/28.00
% 177.80/28.00 Begin of proof
% 177.80/28.00 |
% 177.80/28.00 | COMBINE_EQS: (1), (2) imply:
% 177.80/28.00 | (4) all_61_12 = e2
% 177.80/28.00 |
% 177.80/28.00 | SIMP: (4) implies:
% 177.80/28.00 | (5) all_61_12 = e2
% 177.80/28.00 |
% 177.80/28.00 | REDUCE: (3), (5) imply:
% 177.80/28.00 | (6) $false
% 177.80/28.00 |
% 177.80/28.00 | CLOSE: (6) is inconsistent.
% 177.80/28.00 |
% 177.80/28.00 End of proof
% 177.80/28.00
% 177.80/28.00 Sub-proof #493 shows that the following formulas are inconsistent:
% 177.80/28.00 ----------------------------------------------------------------
% 177.80/28.00 (1) ~ (all_58_2 = e0) | all_58_3 = e1
% 177.80/28.00 (2) all_56_2 = e3 | all_56_2 = e2 | all_56_2 = e1 | all_56_2 = e0
% 177.80/28.00 (3) all_56_2 = all_52_2
% 177.80/28.00 (4) op(all_61_14, e1) = all_65_46
% 177.80/28.00 (5) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 177.80/28.00 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 177.80/28.00 (6) ~ (all_61_14 = e1)
% 177.80/28.00 (7) ~ (all_52_2 = e3)
% 177.80/28.00 (8) op(unit, e1) = e1
% 177.80/28.00 (9) op(e0, e1) = all_61_11
% 177.80/28.00 (10) all_58_3 = all_52_3
% 177.80/28.00 (11) op(e1, e1) = e1
% 177.80/28.00 (12) ~ (all_52_2 = e2)
% 177.80/28.00 (13) all_58_2 = all_52_2
% 177.80/28.00 (14) op(e1, e0) = all_61_14
% 177.80/28.00 (15) op(unit, e0) = e0
% 177.80/28.00 (16) op(e1, all_52_2) = unit
% 177.80/28.00 (17) op(all_61_11, e1) = all_61_11
% 177.80/28.00 (18) ~ (all_61_14 = e0)
% 177.80/28.00 (19) op(e0, all_52_3) = unit
% 177.80/28.00
% 177.80/28.00 Begin of proof
% 177.80/28.00 |
% 177.80/28.00 | BETA: splitting (1) gives:
% 177.80/28.00 |
% 177.80/28.00 | Case 1:
% 177.80/28.00 | |
% 177.80/28.00 | | (20) ~ (all_58_2 = e0)
% 177.80/28.00 | |
% 177.80/28.00 | | REDUCE: (13), (20) imply:
% 177.80/28.00 | | (21) ~ (all_52_2 = e0)
% 177.80/28.00 | |
% 177.80/28.00 | | REF_CLOSE: (2), (3), (5), (7), (11), (12), (14), (15), (16), (18), (21) are
% 177.80/28.00 | | inconsistent by sub-proof #497.
% 177.80/28.00 | |
% 177.80/28.00 | Case 2:
% 177.80/28.00 | |
% 177.80/28.00 | | (22) all_58_3 = e1
% 177.80/28.00 | | (23) all_58_2 = e0
% 177.80/28.00 | |
% 177.80/28.00 | | REF_CLOSE: (4), (5), (6), (8), (9), (10), (13), (14), (16), (17), (19),
% 177.80/28.00 | | (22), (23) are inconsistent by sub-proof #494.
% 177.80/28.00 | |
% 177.80/28.00 | End of split
% 177.80/28.00 |
% 177.80/28.00 End of proof
% 177.80/28.00
% 177.80/28.00 Sub-proof #494 shows that the following formulas are inconsistent:
% 177.80/28.00 ----------------------------------------------------------------
% 177.80/28.00 (1) all_58_3 = e1
% 177.80/28.00 (2) op(all_61_14, e1) = all_65_46
% 177.80/28.00 (3) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 177.80/28.00 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 177.80/28.00 (4) ~ (all_61_14 = e1)
% 177.80/28.00 (5) all_58_2 = e0
% 177.80/28.00 (6) op(unit, e1) = e1
% 177.80/28.00 (7) op(e0, e1) = all_61_11
% 177.80/28.00 (8) all_58_3 = all_52_3
% 177.80/28.00 (9) all_58_2 = all_52_2
% 177.80/28.00 (10) op(e1, e0) = all_61_14
% 177.80/28.00 (11) op(e1, all_52_2) = unit
% 177.80/28.00 (12) op(all_61_11, e1) = all_61_11
% 177.80/28.00 (13) op(e0, all_52_3) = unit
% 177.80/28.00
% 177.80/28.00 Begin of proof
% 177.80/28.00 |
% 177.80/28.00 | COMBINE_EQS: (5), (9) imply:
% 177.80/28.00 | (14) all_52_2 = e0
% 177.80/28.00 |
% 177.80/28.00 | COMBINE_EQS: (1), (8) imply:
% 177.80/28.00 | (15) all_52_3 = e1
% 177.80/28.00 |
% 177.80/28.00 | SIMP: (15) implies:
% 177.80/28.00 | (16) all_52_3 = e1
% 177.80/28.00 |
% 177.80/28.00 | REF_CLOSE: (2), (3), (4), (6), (7), (10), (11), (12), (13), (14), (16) are
% 177.80/28.00 | inconsistent by sub-proof #495.
% 177.80/28.00 |
% 177.80/28.00 End of proof
% 177.80/28.00
% 177.80/28.00 Sub-proof #495 shows that the following formulas are inconsistent:
% 177.80/28.00 ----------------------------------------------------------------
% 177.80/28.00 (1) op(all_61_14, e1) = all_65_46
% 177.80/28.00 (2) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 177.80/28.00 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 177.80/28.00 (3) all_52_2 = e0
% 177.80/28.00 (4) ~ (all_61_14 = e1)
% 177.80/28.00 (5) op(unit, e1) = e1
% 177.80/28.00 (6) op(e0, e1) = all_61_11
% 177.80/28.00 (7) all_52_3 = e1
% 177.80/28.00 (8) op(e1, e0) = all_61_14
% 177.80/28.00 (9) op(e1, all_52_2) = unit
% 177.80/28.00 (10) op(all_61_11, e1) = all_61_11
% 177.80/28.00 (11) op(e0, all_52_3) = unit
% 177.80/28.00
% 177.80/28.00 Begin of proof
% 177.80/28.00 |
% 177.80/28.00 | REDUCE: (3), (9) imply:
% 177.80/28.00 | (12) op(e1, e0) = unit
% 177.80/28.00 |
% 177.80/28.00 | REDUCE: (7), (11) imply:
% 177.80/28.00 | (13) op(e0, e1) = unit
% 177.80/28.00 |
% 177.80/28.00 | REF_CLOSE: (1), (2), (4), (5), (6), (8), (10), (12), (13) are inconsistent by
% 177.80/28.00 | sub-proof #496.
% 177.80/28.00 |
% 177.80/28.00 End of proof
% 177.80/28.00
% 177.80/28.00 Sub-proof #496 shows that the following formulas are inconsistent:
% 177.80/28.00 ----------------------------------------------------------------
% 177.80/28.00 (1) op(all_61_14, e1) = all_65_46
% 177.80/28.00 (2) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 177.80/28.00 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 177.80/28.00 (3) ~ (all_61_14 = e1)
% 177.80/28.00 (4) op(e0, e1) = unit
% 177.80/28.00 (5) op(unit, e1) = e1
% 177.80/28.00 (6) op(e0, e1) = all_61_11
% 177.80/28.00 (7) op(e1, e0) = all_61_14
% 177.80/28.00 (8) op(e1, e0) = unit
% 177.80/28.00 (9) op(all_61_11, e1) = all_61_11
% 177.80/28.00
% 177.80/28.00 Begin of proof
% 177.80/28.00 |
% 177.80/28.00 | GROUND_INST: instantiating (2) with all_61_11, unit, e1, e0, simplifying with
% 177.80/28.00 | (4), (6) gives:
% 177.80/28.00 | (10) all_61_11 = unit
% 177.80/28.00 |
% 177.80/28.00 | GROUND_INST: instantiating (2) with all_61_14, unit, e0, e1, simplifying with
% 177.80/28.00 | (7), (8) gives:
% 177.80/28.00 | (11) all_61_14 = unit
% 177.80/28.00 |
% 177.80/28.00 | REDUCE: (3), (11) imply:
% 177.80/28.00 | (12) ~ (unit = e1)
% 177.80/28.00 |
% 177.80/28.00 | REDUCE: (9), (10) imply:
% 177.80/28.00 | (13) op(unit, e1) = unit
% 177.80/28.00 |
% 177.80/28.00 | REDUCE: (1), (11) imply:
% 177.80/28.00 | (14) op(unit, e1) = all_65_46
% 177.80/28.00 |
% 177.80/28.00 | GROUND_INST: instantiating (2) with e1, all_65_46, e1, unit, simplifying with
% 177.80/28.00 | (5), (14) gives:
% 177.80/28.00 | (15) all_65_46 = e1
% 177.80/28.00 |
% 177.80/28.00 | GROUND_INST: instantiating (2) with unit, all_65_46, e1, unit, simplifying
% 177.80/28.00 | with (13), (14) gives:
% 177.80/28.00 | (16) all_65_46 = unit
% 177.80/28.00 |
% 177.80/28.00 | COMBINE_EQS: (15), (16) imply:
% 177.80/28.00 | (17) unit = e1
% 177.80/28.00 |
% 177.80/28.00 | REDUCE: (12), (17) imply:
% 177.80/28.00 | (18) $false
% 177.80/28.00 |
% 177.80/28.00 | CLOSE: (18) is inconsistent.
% 177.80/28.00 |
% 177.80/28.00 End of proof
% 177.80/28.00
% 177.80/28.00 Sub-proof #497 shows that the following formulas are inconsistent:
% 177.80/28.00 ----------------------------------------------------------------
% 177.80/28.00 (1) all_56_2 = e3 | all_56_2 = e2 | all_56_2 = e1 | all_56_2 = e0
% 177.80/28.00 (2) all_56_2 = all_52_2
% 177.80/28.00 (3) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 177.80/28.00 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 177.80/28.00 (4) ~ (all_52_2 = e0)
% 177.80/28.00 (5) ~ (all_52_2 = e3)
% 177.80/28.00 (6) op(e1, e1) = e1
% 177.80/28.00 (7) ~ (all_52_2 = e2)
% 177.80/28.00 (8) op(e1, e0) = all_61_14
% 177.80/28.00 (9) op(unit, e0) = e0
% 177.80/28.00 (10) op(e1, all_52_2) = unit
% 177.80/28.00 (11) ~ (all_61_14 = e0)
% 177.80/28.00
% 177.80/28.00 Begin of proof
% 177.80/28.00 |
% 177.80/28.00 | BETA: splitting (1) gives:
% 177.80/28.00 |
% 177.80/28.00 | Case 1:
% 177.80/28.00 | |
% 177.80/28.00 | | (12) all_56_2 = e3
% 177.80/28.00 | |
% 177.80/28.00 | | COMBINE_EQS: (2), (12) imply:
% 177.80/28.00 | | (13) all_52_2 = e3
% 177.80/28.00 | |
% 177.80/28.00 | | REDUCE: (5), (13) imply:
% 177.80/28.00 | | (14) $false
% 177.80/28.00 | |
% 177.80/28.00 | | CLOSE: (14) is inconsistent.
% 177.80/28.00 | |
% 177.80/28.00 | Case 2:
% 177.80/28.00 | |
% 177.80/28.00 | | (15) all_56_2 = e2 | all_56_2 = e1 | all_56_2 = e0
% 177.80/28.00 | |
% 177.80/28.00 | | BETA: splitting (15) gives:
% 177.80/28.00 | |
% 177.80/28.00 | | Case 1:
% 177.80/28.00 | | |
% 177.80/28.00 | | | (16) all_56_2 = e2
% 177.80/28.00 | | |
% 177.80/28.00 | | | COMBINE_EQS: (2), (16) imply:
% 177.80/28.00 | | | (17) all_52_2 = e2
% 177.80/28.00 | | |
% 177.80/28.00 | | | REDUCE: (7), (17) imply:
% 177.80/28.00 | | | (18) $false
% 177.80/28.00 | | |
% 177.80/28.00 | | | CLOSE: (18) is inconsistent.
% 177.80/28.00 | | |
% 177.80/28.00 | | Case 2:
% 177.80/28.00 | | |
% 177.80/28.00 | | | (19) all_56_2 = e1 | all_56_2 = e0
% 177.80/28.00 | | |
% 177.80/28.00 | | | BETA: splitting (19) gives:
% 177.80/28.00 | | |
% 177.80/28.00 | | | Case 1:
% 177.80/28.00 | | | |
% 177.80/28.00 | | | | (20) all_56_2 = e1
% 177.80/28.00 | | | |
% 177.80/28.00 | | | | COMBINE_EQS: (2), (20) imply:
% 177.80/28.00 | | | | (21) all_52_2 = e1
% 177.80/28.00 | | | |
% 177.80/28.00 | | | | REDUCE: (10), (21) imply:
% 177.80/28.00 | | | | (22) op(e1, e1) = unit
% 177.80/28.00 | | | |
% 177.80/28.00 | | | | GROUND_INST: instantiating (3) with e1, unit, e1, e1, simplifying with
% 177.80/28.00 | | | | (6), (22) gives:
% 177.80/28.00 | | | | (23) unit = e1
% 177.80/28.00 | | | |
% 177.80/28.00 | | | | REF_CLOSE: (3), (8), (9), (11), (23) are inconsistent by sub-proof #498.
% 177.80/28.00 | | | |
% 177.80/28.00 | | | Case 2:
% 177.80/28.00 | | | |
% 177.80/28.00 | | | | (24) all_56_2 = e0
% 177.80/28.00 | | | |
% 177.80/28.00 | | | | COMBINE_EQS: (2), (24) imply:
% 177.80/28.00 | | | | (25) all_52_2 = e0
% 177.80/28.00 | | | |
% 177.80/28.00 | | | | REDUCE: (4), (25) imply:
% 177.80/28.00 | | | | (26) $false
% 177.80/28.00 | | | |
% 177.80/28.00 | | | | CLOSE: (26) is inconsistent.
% 177.80/28.00 | | | |
% 177.80/28.00 | | | End of split
% 177.80/28.00 | | |
% 177.80/28.00 | | End of split
% 177.80/28.00 | |
% 177.80/28.00 | End of split
% 177.80/28.00 |
% 177.80/28.00 End of proof
% 177.80/28.00
% 177.80/28.00 Sub-proof #498 shows that the following formulas are inconsistent:
% 177.80/28.00 ----------------------------------------------------------------
% 177.80/28.00 (1) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 177.80/28.00 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 177.80/28.00 (2) unit = e1
% 177.80/28.00 (3) op(e1, e0) = all_61_14
% 177.80/28.00 (4) op(unit, e0) = e0
% 177.80/28.00 (5) ~ (all_61_14 = e0)
% 177.80/28.00
% 177.80/28.00 Begin of proof
% 177.80/28.00 |
% 177.80/28.00 | REDUCE: (2), (4) imply:
% 177.80/28.00 | (6) op(e1, e0) = e0
% 177.80/28.00 |
% 177.80/28.00 | GROUND_INST: instantiating (1) with all_61_14, e0, e0, e1, simplifying with
% 177.80/28.00 | (3), (6) gives:
% 177.80/28.00 | (7) all_61_14 = e0
% 177.80/28.00 |
% 177.80/28.00 | REDUCE: (5), (7) imply:
% 177.80/28.00 | (8) $false
% 177.80/28.00 |
% 177.80/28.00 | CLOSE: (8) is inconsistent.
% 177.80/28.00 |
% 177.80/28.00 End of proof
% 177.80/28.00
% 177.80/28.00 Sub-proof #499 shows that the following formulas are inconsistent:
% 177.80/28.00 ----------------------------------------------------------------
% 177.80/28.00 (1) all_63_15 = all_20_2
% 177.80/28.00 (2) all_63_15 = e1
% 177.80/28.00 (3) ~ (all_20_2 = e1)
% 177.80/28.00
% 177.80/28.00 Begin of proof
% 177.80/28.00 |
% 177.80/28.00 | COMBINE_EQS: (1), (2) imply:
% 177.80/28.00 | (4) all_20_2 = e1
% 177.80/28.00 |
% 177.80/28.00 | SIMP: (4) implies:
% 177.80/28.00 | (5) all_20_2 = e1
% 177.80/28.00 |
% 177.80/28.00 | REDUCE: (3), (5) imply:
% 177.80/28.00 | (6) $false
% 177.80/28.00 |
% 177.80/28.00 | CLOSE: (6) is inconsistent.
% 177.80/28.00 |
% 177.80/28.00 End of proof
% 177.80/28.00
% 177.80/28.00 Sub-proof #500 shows that the following formulas are inconsistent:
% 177.80/28.00 ----------------------------------------------------------------
% 177.80/28.00 (1) all_63_15 = all_20_2
% 177.80/28.00 (2) all_63_15 = e2
% 177.80/28.00 (3) ~ (all_20_2 = e2)
% 177.80/28.00
% 177.80/28.00 Begin of proof
% 177.80/28.00 |
% 177.80/28.00 | COMBINE_EQS: (1), (2) imply:
% 177.80/28.00 | (4) all_20_2 = e2
% 177.80/28.00 |
% 177.80/28.00 | SIMP: (4) implies:
% 177.80/28.00 | (5) all_20_2 = e2
% 177.80/28.00 |
% 177.80/28.00 | REDUCE: (3), (5) imply:
% 177.80/28.00 | (6) $false
% 177.80/28.00 |
% 177.80/28.00 | CLOSE: (6) is inconsistent.
% 177.80/28.00 |
% 177.80/28.00 End of proof
% 177.80/28.00
% 177.80/28.00 Sub-proof #501 shows that the following formulas are inconsistent:
% 177.80/28.00 ----------------------------------------------------------------
% 177.80/28.00 (1) all_63_15 = all_20_2
% 177.80/28.00 (2) all_63_15 = e3
% 177.80/28.00 (3) ~ (all_20_2 = e3)
% 177.80/28.00
% 177.80/28.00 Begin of proof
% 177.80/28.00 |
% 177.80/28.00 | COMBINE_EQS: (1), (2) imply:
% 177.80/28.00 | (4) all_20_2 = e3
% 177.80/28.00 |
% 177.80/28.00 | SIMP: (4) implies:
% 177.80/28.00 | (5) all_20_2 = e3
% 177.80/28.00 |
% 177.80/28.00 | REDUCE: (3), (5) imply:
% 177.80/28.00 | (6) $false
% 177.80/28.00 |
% 177.80/28.00 | CLOSE: (6) is inconsistent.
% 177.80/28.00 |
% 177.80/28.00 End of proof
% 177.80/28.00
% 177.80/28.00 Sub-proof #502 shows that the following formulas are inconsistent:
% 177.80/28.00 ----------------------------------------------------------------
% 177.80/28.00 (1) op(e0, all_14_2) = all_65_49
% 177.80/28.00 (2) all_56_0 = e3 | all_56_0 = e2 | all_56_0 = e1 | all_56_0 = e0
% 177.80/28.00 (3) ~ (all_58_1 = e3) | all_58_0 = e2
% 177.80/28.00 (4) op(e3, all_52_0) = unit
% 177.80/28.00 (5) op(e1, all_14_2) = all_65_32
% 177.80/28.00 (6) op(e3, all_14_2) = all_65_0
% 177.80/28.00 (7) all_58_0 = all_52_0
% 177.80/28.00 (8) ~ (all_14_2 = e0)
% 177.80/28.00 (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 177.80/28.00 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 177.80/28.00 (10) all_63_0 = e3 | all_63_0 = e2 | all_63_0 = e1 | all_63_0 = e0
% 177.80/28.00 (11) op(e3, e1) = all_61_8
% 177.80/28.00 (12) op(e2, all_14_2) = all_65_16
% 177.80/28.00 (13) op(all_61_12, e3) = all_65_12
% 177.80/28.00 (14) ~ (all_61_4 = all_14_2)
% 177.80/28.00 (15) op(all_61_4, e3) = all_65_4
% 177.80/28.00 (16) ~ (all_58_0 = e2) | all_58_1 = e3
% 177.80/28.00 (17) ~ (all_58_0 = e0) | all_58_3 = e3
% 177.80/28.00 (18) op(e1, e3) = all_61_2
% 177.80/28.00 (19) op(unit, e3) = e3
% 177.80/28.00 (20) all_58_3 = all_52_3
% 177.80/28.00 (21) op(all_14_2, e1) = all_65_2
% 177.80/28.00 (22) ~ (all_61_12 = all_14_2)
% 177.80/28.00 (23) op(e2, all_52_1) = unit
% 177.80/28.00 (24) all_58_2 = all_52_2
% 177.80/28.00 (25) ~ (all_58_3 = e3) | all_58_0 = e0
% 177.80/28.00 (26) op(e3, e0) = all_61_12
% 177.80/28.00 (27) ~ (all_61_8 = all_14_2)
% 177.80/28.00 (28) all_63_0 = all_14_2
% 177.80/28.00 (29) all_58_1 = all_52_1
% 177.80/28.00 (30) op(all_61_3, e3) = all_65_49
% 177.80/28.00 (31) op(all_14_2, e0) = all_65_3
% 177.80/28.00 (32) op(all_14_2, e2) = all_65_1
% 177.80/28.00 (33) ~ (all_14_2 = e2)
% 177.80/28.00 (34) ~ (all_58_2 = e3) | all_58_0 = e1
% 177.80/28.00 (35) op(all_61_1, e3) = all_65_16
% 177.80/28.00 (36) op(e2, e3) = all_61_1
% 177.80/28.00 (37) op(e1, all_52_2) = unit
% 177.80/28.00 (38) ~ (all_14_2 = e1)
% 177.80/28.00 (39) ~ (unit = e3)
% 177.80/28.00 (40) op(all_61_8, e3) = all_65_8
% 177.80/28.00 (41) all_56_0 = all_52_0
% 177.80/28.00 (42) op(e3, e2) = all_61_4
% 177.80/28.00 (43) op(e3, e3) = all_14_2
% 177.80/28.00 (44) op(e0, all_52_3) = unit
% 177.80/28.00 (45) op(all_61_2, e3) = all_65_32
% 177.80/28.00 (46) op(e0, e3) = all_61_3
% 177.80/28.00 (47) ~ (all_58_0 = e1) | all_58_2 = e3
% 177.80/28.00
% 177.80/28.00 Begin of proof
% 177.80/28.00 |
% 177.80/28.00 | BETA: splitting (10) gives:
% 177.80/28.00 |
% 177.80/28.00 | Case 1:
% 177.80/28.00 | |
% 177.80/28.00 | | (48) all_63_0 = e3
% 177.80/28.00 | |
% 177.80/28.00 | | COMBINE_EQS: (28), (48) imply:
% 177.80/28.00 | | (49) all_14_2 = e3
% 177.80/28.00 | |
% 177.80/28.00 | | REDUCE: (14), (49) imply:
% 177.80/28.00 | | (50) ~ (all_61_4 = e3)
% 177.80/28.00 | |
% 177.80/28.00 | | REDUCE: (27), (49) imply:
% 177.80/28.00 | | (51) ~ (all_61_8 = e3)
% 177.80/28.00 | |
% 177.80/28.00 | | REDUCE: (22), (49) imply:
% 177.80/28.00 | | (52) ~ (all_61_12 = e3)
% 177.80/28.00 | |
% 177.80/28.00 | | REDUCE: (32), (49) imply:
% 177.80/28.00 | | (53) op(e3, e2) = all_65_1
% 177.80/28.00 | |
% 177.80/28.00 | | REDUCE: (21), (49) imply:
% 177.80/28.00 | | (54) op(e3, e1) = all_65_2
% 177.80/28.00 | |
% 177.80/28.00 | | REDUCE: (31), (49) imply:
% 177.80/28.00 | | (55) op(e3, e0) = all_65_3
% 177.80/28.01 | |
% 177.80/28.01 | | REDUCE: (6), (49) imply:
% 177.80/28.01 | | (56) op(e3, e3) = all_65_0
% 177.80/28.01 | |
% 177.80/28.01 | | REDUCE: (43), (49) imply:
% 177.80/28.01 | | (57) op(e3, e3) = e3
% 177.80/28.01 | |
% 177.80/28.01 | | REDUCE: (12), (49) imply:
% 177.80/28.01 | | (58) op(e2, e3) = all_65_16
% 177.80/28.01 | |
% 177.80/28.01 | | REDUCE: (5), (49) imply:
% 177.80/28.01 | | (59) op(e1, e3) = all_65_32
% 177.80/28.01 | |
% 177.80/28.01 | | REDUCE: (1), (49) imply:
% 177.80/28.01 | | (60) op(e0, e3) = all_65_49
% 177.80/28.01 | |
% 177.80/28.01 | | GROUND_INST: instantiating (9) with all_61_3, all_65_49, e3, e0, simplifying
% 177.80/28.01 | | with (46), (60) gives:
% 177.80/28.01 | | (61) all_65_49 = all_61_3
% 177.80/28.01 | |
% 177.80/28.01 | | GROUND_INST: instantiating (9) with all_61_2, all_65_32, e3, e1, simplifying
% 177.80/28.01 | | with (18), (59) gives:
% 177.80/28.01 | | (62) all_65_32 = all_61_2
% 177.80/28.01 | |
% 177.80/28.01 | | GROUND_INST: instantiating (9) with all_61_1, all_65_16, e3, e2, simplifying
% 177.80/28.01 | | with (36), (58) gives:
% 177.80/28.01 | | (63) all_65_16 = all_61_1
% 177.80/28.01 | |
% 177.80/28.01 | | GROUND_INST: instantiating (9) with all_61_12, all_65_3, e0, e3, simplifying
% 177.80/28.01 | | with (26), (55) gives:
% 177.80/28.01 | | (64) all_65_3 = all_61_12
% 177.80/28.01 | |
% 177.80/28.01 | | GROUND_INST: instantiating (9) with all_61_8, all_65_2, e1, e3, simplifying
% 177.80/28.01 | | with (11), (54) gives:
% 177.80/28.01 | | (65) all_65_2 = all_61_8
% 177.80/28.01 | |
% 177.80/28.01 | | GROUND_INST: instantiating (9) with all_61_4, all_65_1, e2, e3, simplifying
% 177.80/28.01 | | with (42), (53) gives:
% 177.80/28.01 | | (66) all_65_1 = all_61_4
% 177.80/28.01 | |
% 177.80/28.01 | | GROUND_INST: instantiating (9) with e3, all_65_0, e3, e3, simplifying with
% 177.80/28.01 | | (56), (57) gives:
% 177.80/28.01 | | (67) all_65_0 = e3
% 177.80/28.01 | |
% 177.80/28.01 | | REDUCE: (35), (63) imply:
% 177.80/28.01 | | (68) op(all_61_1, e3) = all_61_1
% 177.80/28.01 | |
% 177.80/28.01 | | REDUCE: (45), (62) imply:
% 177.80/28.01 | | (69) op(all_61_2, e3) = all_61_2
% 177.80/28.01 | |
% 177.80/28.01 | | REDUCE: (30), (61) imply:
% 177.80/28.01 | | (70) op(all_61_3, e3) = all_61_3
% 177.80/28.01 | |
% 177.80/28.01 | | BETA: splitting (34) gives:
% 177.80/28.01 | |
% 177.80/28.01 | | Case 1:
% 177.80/28.01 | | |
% 177.80/28.01 | | | (71) ~ (all_58_2 = e3)
% 177.80/28.01 | | |
% 177.80/28.01 | | | REDUCE: (24), (71) imply:
% 177.80/28.01 | | | (72) ~ (all_52_2 = e3)
% 177.80/28.01 | | |
% 177.80/28.01 | | | BETA: splitting (47) gives:
% 177.80/28.01 | | |
% 177.80/28.01 | | | Case 1:
% 177.80/28.01 | | | |
% 177.80/28.01 | | | | (73) ~ (all_58_0 = e1)
% 177.80/28.01 | | | |
% 177.80/28.01 | | | | REDUCE: (7), (73) imply:
% 177.80/28.01 | | | | (74) ~ (all_52_0 = e1)
% 177.80/28.01 | | | |
% 177.80/28.01 | | | | BETA: splitting (25) gives:
% 177.80/28.01 | | | |
% 177.80/28.01 | | | | Case 1:
% 177.80/28.01 | | | | |
% 177.80/28.01 | | | | | (75) ~ (all_58_3 = e3)
% 177.80/28.01 | | | | |
% 177.80/28.01 | | | | | REDUCE: (20), (75) imply:
% 177.80/28.01 | | | | | (76) ~ (all_52_3 = e3)
% 177.80/28.01 | | | | |
% 177.80/28.01 | | | | | REF_CLOSE: (2), (3), (4), (7), (9), (15), (16), (17), (19), (20),
% 177.80/28.01 | | | | | (23), (29), (36), (39), (41), (42), (50), (57), (68), (74),
% 177.80/28.01 | | | | | (76) are inconsistent by sub-proof #508.
% 177.80/28.01 | | | | |
% 177.80/28.01 | | | | Case 2:
% 177.80/28.01 | | | | |
% 177.80/28.01 | | | | | (77) all_58_3 = e3
% 177.80/28.01 | | | | | (78) all_58_0 = e0
% 177.80/28.01 | | | | |
% 177.80/28.01 | | | | | COMBINE_EQS: (7), (78) imply:
% 177.80/28.01 | | | | | (79) all_52_0 = e0
% 177.80/28.01 | | | | |
% 177.80/28.01 | | | | | SIMP: (79) implies:
% 177.80/28.01 | | | | | (80) all_52_0 = e0
% 177.80/28.01 | | | | |
% 177.80/28.01 | | | | | COMBINE_EQS: (20), (77) imply:
% 177.80/28.01 | | | | | (81) all_52_3 = e3
% 177.80/28.01 | | | | |
% 177.80/28.01 | | | | | REDUCE: (4), (80) imply:
% 177.80/28.01 | | | | | (82) op(e3, e0) = unit
% 177.80/28.01 | | | | |
% 177.80/28.01 | | | | | REDUCE: (44), (81) imply:
% 177.80/28.01 | | | | | (83) op(e0, e3) = unit
% 177.80/28.01 | | | | |
% 177.80/28.01 | | | | | GROUND_INST: instantiating (9) with all_61_3, unit, e3, e0,
% 177.80/28.01 | | | | | simplifying with (46), (83) gives:
% 177.80/28.01 | | | | | (84) all_61_3 = unit
% 177.80/28.01 | | | | |
% 177.80/28.01 | | | | | GROUND_INST: instantiating (9) with all_61_12, unit, e0, e3,
% 177.80/28.01 | | | | | simplifying with (26), (82) gives:
% 177.80/28.01 | | | | | (85) all_61_12 = unit
% 177.80/28.01 | | | | |
% 177.80/28.01 | | | | | REDUCE: (70), (84) imply:
% 177.80/28.01 | | | | | (86) op(unit, e3) = unit
% 177.80/28.01 | | | | |
% 177.80/28.01 | | | | | REDUCE: (13), (85) imply:
% 177.80/28.01 | | | | | (87) op(unit, e3) = all_65_12
% 177.80/28.01 | | | | |
% 177.80/28.01 | | | | | GROUND_INST: instantiating (9) with e3, all_65_12, e3, unit,
% 177.80/28.01 | | | | | simplifying with (19), (87) gives:
% 177.80/28.01 | | | | | (88) all_65_12 = e3
% 177.80/28.01 | | | | |
% 177.80/28.01 | | | | | GROUND_INST: instantiating (9) with unit, all_65_12, e3, unit,
% 177.80/28.01 | | | | | simplifying with (86), (87) gives:
% 177.80/28.01 | | | | | (89) all_65_12 = unit
% 177.80/28.01 | | | | |
% 177.80/28.01 | | | | | COMBINE_EQS: (88), (89) imply:
% 177.80/28.01 | | | | | (90) unit = e3
% 177.80/28.01 | | | | |
% 177.80/28.01 | | | | | REDUCE: (39), (90) imply:
% 177.80/28.01 | | | | | (91) $false
% 177.80/28.01 | | | | |
% 177.80/28.01 | | | | | CLOSE: (91) is inconsistent.
% 177.80/28.01 | | | | |
% 177.80/28.01 | | | | End of split
% 177.80/28.01 | | | |
% 177.80/28.01 | | | Case 2:
% 177.80/28.01 | | | |
% 177.80/28.01 | | | | (92) all_58_2 = e3
% 177.80/28.01 | | | |
% 177.80/28.01 | | | | REF_CLOSE: (24), (72), (92) are inconsistent by sub-proof #507.
% 177.80/28.01 | | | |
% 177.80/28.01 | | | End of split
% 177.80/28.01 | | |
% 177.80/28.01 | | Case 2:
% 177.80/28.01 | | |
% 177.80/28.01 | | | (93) all_58_2 = e3
% 177.80/28.01 | | | (94) all_58_0 = e1
% 177.80/28.01 | | |
% 177.80/28.01 | | | REF_CLOSE: (4), (7), (9), (11), (18), (19), (24), (37), (40), (51), (69),
% 177.80/28.01 | | | (93), (94) are inconsistent by sub-proof #504.
% 177.80/28.01 | | |
% 177.80/28.01 | | End of split
% 177.80/28.01 | |
% 177.80/28.01 | Case 2:
% 177.80/28.01 | |
% 177.80/28.01 | | (95) all_63_0 = e2 | all_63_0 = e1 | all_63_0 = e0
% 177.80/28.01 | |
% 177.80/28.01 | | REF_CLOSE: (8), (28), (33), (38), (95) are inconsistent by sub-proof #503.
% 177.80/28.01 | |
% 177.80/28.01 | End of split
% 177.80/28.01 |
% 177.80/28.01 End of proof
% 177.80/28.01
% 177.80/28.01 Sub-proof #503 shows that the following formulas are inconsistent:
% 177.80/28.01 ----------------------------------------------------------------
% 177.80/28.01 (1) ~ (all_14_2 = e0)
% 177.80/28.01 (2) all_63_0 = all_14_2
% 177.80/28.01 (3) all_63_0 = e2 | all_63_0 = e1 | all_63_0 = e0
% 177.80/28.01 (4) ~ (all_14_2 = e2)
% 177.80/28.01 (5) ~ (all_14_2 = e1)
% 177.80/28.01
% 177.80/28.01 Begin of proof
% 177.80/28.01 |
% 177.80/28.01 | BETA: splitting (3) gives:
% 177.80/28.01 |
% 177.80/28.01 | Case 1:
% 177.80/28.01 | |
% 177.80/28.01 | | (6) all_63_0 = e2
% 177.80/28.01 | |
% 177.80/28.01 | | COMBINE_EQS: (2), (6) imply:
% 177.80/28.01 | | (7) all_14_2 = e2
% 177.80/28.01 | |
% 177.80/28.01 | | REDUCE: (4), (7) imply:
% 177.80/28.01 | | (8) $false
% 177.80/28.01 | |
% 177.80/28.01 | | CLOSE: (8) is inconsistent.
% 177.80/28.01 | |
% 177.80/28.01 | Case 2:
% 177.80/28.01 | |
% 177.80/28.01 | | (9) all_63_0 = e1 | all_63_0 = e0
% 177.80/28.01 | |
% 177.80/28.01 | | BETA: splitting (9) gives:
% 177.80/28.01 | |
% 177.80/28.01 | | Case 1:
% 177.80/28.01 | | |
% 177.80/28.01 | | | (10) all_63_0 = e1
% 177.80/28.01 | | |
% 177.80/28.01 | | | COMBINE_EQS: (2), (10) imply:
% 177.80/28.01 | | | (11) all_14_2 = e1
% 177.80/28.01 | | |
% 177.80/28.01 | | | REDUCE: (5), (11) imply:
% 177.80/28.01 | | | (12) $false
% 177.80/28.01 | | |
% 177.80/28.01 | | | CLOSE: (12) is inconsistent.
% 177.80/28.01 | | |
% 177.80/28.01 | | Case 2:
% 177.80/28.01 | | |
% 177.80/28.01 | | | (13) all_63_0 = e0
% 177.80/28.01 | | |
% 177.80/28.01 | | | COMBINE_EQS: (2), (13) imply:
% 177.80/28.01 | | | (14) all_14_2 = e0
% 177.80/28.01 | | |
% 177.80/28.01 | | | REDUCE: (1), (14) imply:
% 177.80/28.01 | | | (15) $false
% 177.80/28.01 | | |
% 177.80/28.01 | | | CLOSE: (15) is inconsistent.
% 177.80/28.01 | | |
% 177.80/28.01 | | End of split
% 177.80/28.01 | |
% 177.80/28.01 | End of split
% 177.80/28.01 |
% 177.80/28.01 End of proof
% 177.80/28.01
% 177.80/28.01 Sub-proof #504 shows that the following formulas are inconsistent:
% 177.80/28.01 ----------------------------------------------------------------
% 177.80/28.01 (1) op(e3, all_52_0) = unit
% 177.80/28.01 (2) all_58_0 = all_52_0
% 177.80/28.01 (3) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 177.80/28.01 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 177.80/28.01 (4) op(e3, e1) = all_61_8
% 177.80/28.01 (5) op(e1, e3) = all_61_2
% 177.80/28.01 (6) op(unit, e3) = e3
% 177.80/28.01 (7) all_58_2 = all_52_2
% 177.80/28.01 (8) op(all_61_2, e3) = all_61_2
% 177.80/28.01 (9) ~ (all_61_8 = e3)
% 177.80/28.01 (10) op(e1, all_52_2) = unit
% 177.80/28.01 (11) all_58_0 = e1
% 177.80/28.01 (12) op(all_61_8, e3) = all_65_8
% 177.80/28.01 (13) all_58_2 = e3
% 177.80/28.01
% 177.80/28.01 Begin of proof
% 177.80/28.01 |
% 177.80/28.01 | COMBINE_EQS: (2), (11) imply:
% 177.80/28.01 | (14) all_52_0 = e1
% 177.80/28.01 |
% 177.80/28.01 | SIMP: (14) implies:
% 177.80/28.01 | (15) all_52_0 = e1
% 177.80/28.01 |
% 177.80/28.01 | COMBINE_EQS: (7), (13) imply:
% 177.80/28.01 | (16) all_52_2 = e3
% 177.80/28.01 |
% 177.80/28.01 | REF_CLOSE: (1), (3), (4), (5), (6), (8), (9), (10), (12), (15), (16) are
% 177.80/28.01 | inconsistent by sub-proof #505.
% 177.80/28.01 |
% 177.80/28.01 End of proof
% 177.80/28.01
% 177.80/28.01 Sub-proof #505 shows that the following formulas are inconsistent:
% 177.80/28.01 ----------------------------------------------------------------
% 177.80/28.01 (1) op(e3, all_52_0) = unit
% 177.80/28.01 (2) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 177.80/28.01 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 177.80/28.01 (3) op(e3, e1) = all_61_8
% 177.80/28.01 (4) all_52_0 = e1
% 177.80/28.01 (5) all_52_2 = e3
% 177.80/28.01 (6) op(e1, e3) = all_61_2
% 177.80/28.01 (7) op(unit, e3) = e3
% 177.80/28.01 (8) op(all_61_2, e3) = all_61_2
% 177.80/28.01 (9) ~ (all_61_8 = e3)
% 177.80/28.01 (10) op(e1, all_52_2) = unit
% 177.80/28.01 (11) op(all_61_8, e3) = all_65_8
% 177.80/28.01
% 177.80/28.01 Begin of proof
% 177.80/28.01 |
% 177.80/28.01 | REDUCE: (1), (4) imply:
% 177.80/28.01 | (12) op(e3, e1) = unit
% 177.80/28.01 |
% 177.80/28.01 | REDUCE: (5), (10) imply:
% 177.80/28.01 | (13) op(e1, e3) = unit
% 177.80/28.01 |
% 177.80/28.01 | REF_CLOSE: (2), (3), (6), (7), (8), (9), (11), (12), (13) are inconsistent by
% 177.80/28.01 | sub-proof #506.
% 177.80/28.01 |
% 177.80/28.01 End of proof
% 177.80/28.01
% 177.80/28.01 Sub-proof #506 shows that the following formulas are inconsistent:
% 177.80/28.01 ----------------------------------------------------------------
% 177.80/28.01 (1) op(e3, e1) = unit
% 177.80/28.01 (2) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 177.80/28.01 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 177.80/28.01 (3) op(e3, e1) = all_61_8
% 177.80/28.01 (4) op(e1, e3) = all_61_2
% 177.80/28.01 (5) op(unit, e3) = e3
% 177.80/28.01 (6) op(all_61_2, e3) = all_61_2
% 177.80/28.01 (7) op(e1, e3) = unit
% 177.80/28.01 (8) ~ (all_61_8 = e3)
% 177.80/28.01 (9) op(all_61_8, e3) = all_65_8
% 177.80/28.01
% 177.80/28.01 Begin of proof
% 177.80/28.01 |
% 177.80/28.01 | GROUND_INST: instantiating (2) with all_61_2, unit, e3, e1, simplifying with
% 177.80/28.01 | (4), (7) gives:
% 177.80/28.01 | (10) all_61_2 = unit
% 177.80/28.01 |
% 177.80/28.01 | GROUND_INST: instantiating (2) with all_61_8, unit, e1, e3, simplifying with
% 177.80/28.01 | (1), (3) gives:
% 177.80/28.01 | (11) all_61_8 = unit
% 177.80/28.01 |
% 177.80/28.01 | REDUCE: (8), (11) imply:
% 177.80/28.01 | (12) ~ (unit = e3)
% 177.80/28.01 |
% 177.80/28.01 | REDUCE: (6), (10) imply:
% 177.80/28.01 | (13) op(unit, e3) = unit
% 177.80/28.01 |
% 177.80/28.01 | REDUCE: (9), (11) imply:
% 177.80/28.01 | (14) op(unit, e3) = all_65_8
% 177.80/28.01 |
% 177.80/28.01 | GROUND_INST: instantiating (2) with e3, all_65_8, e3, unit, simplifying with
% 177.80/28.01 | (5), (14) gives:
% 177.80/28.01 | (15) all_65_8 = e3
% 177.80/28.01 |
% 177.80/28.01 | GROUND_INST: instantiating (2) with unit, all_65_8, e3, unit, simplifying with
% 177.80/28.01 | (13), (14) gives:
% 177.80/28.01 | (16) all_65_8 = unit
% 177.80/28.01 |
% 177.80/28.01 | COMBINE_EQS: (15), (16) imply:
% 177.80/28.01 | (17) unit = e3
% 177.80/28.01 |
% 177.80/28.01 | REDUCE: (12), (17) imply:
% 177.80/28.01 | (18) $false
% 177.80/28.01 |
% 177.80/28.01 | CLOSE: (18) is inconsistent.
% 177.80/28.01 |
% 177.80/28.01 End of proof
% 177.80/28.01
% 177.80/28.01 Sub-proof #507 shows that the following formulas are inconsistent:
% 177.80/28.01 ----------------------------------------------------------------
% 177.80/28.01 (1) all_58_2 = all_52_2
% 177.80/28.01 (2) all_58_2 = e3
% 177.80/28.01 (3) ~ (all_52_2 = e3)
% 177.80/28.01
% 177.80/28.01 Begin of proof
% 177.80/28.01 |
% 177.80/28.01 | COMBINE_EQS: (1), (2) imply:
% 177.80/28.01 | (4) all_52_2 = e3
% 177.80/28.01 |
% 177.80/28.01 | SIMP: (4) implies:
% 177.80/28.01 | (5) all_52_2 = e3
% 177.80/28.01 |
% 177.80/28.01 | REDUCE: (3), (5) imply:
% 177.80/28.01 | (6) $false
% 177.80/28.01 |
% 177.80/28.01 | CLOSE: (6) is inconsistent.
% 177.80/28.01 |
% 177.80/28.01 End of proof
% 177.80/28.01
% 177.80/28.01 Sub-proof #508 shows that the following formulas are inconsistent:
% 177.80/28.01 ----------------------------------------------------------------
% 177.80/28.01 (1) all_56_0 = e3 | all_56_0 = e2 | all_56_0 = e1 | all_56_0 = e0
% 177.80/28.01 (2) ~ (all_58_1 = e3) | all_58_0 = e2
% 177.80/28.01 (3) op(e3, all_52_0) = unit
% 177.80/28.01 (4) ~ (all_52_3 = e3)
% 177.80/28.01 (5) all_58_0 = all_52_0
% 177.80/28.01 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 177.80/28.01 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 177.80/28.01 (7) op(all_61_4, e3) = all_65_4
% 177.80/28.01 (8) ~ (all_52_0 = e1)
% 177.80/28.01 (9) ~ (all_58_0 = e2) | all_58_1 = e3
% 177.80/28.01 (10) ~ (all_58_0 = e0) | all_58_3 = e3
% 177.80/28.01 (11) op(unit, e3) = e3
% 177.80/28.01 (12) all_58_3 = all_52_3
% 177.80/28.01 (13) op(e2, all_52_1) = unit
% 177.80/28.01 (14) op(e3, e3) = e3
% 177.80/28.01 (15) ~ (all_61_4 = e3)
% 177.80/28.01 (16) all_58_1 = all_52_1
% 177.80/28.01 (17) op(e2, e3) = all_61_1
% 177.80/28.01 (18) op(all_61_1, e3) = all_61_1
% 177.80/28.01 (19) ~ (unit = e3)
% 177.80/28.01 (20) all_56_0 = all_52_0
% 177.80/28.01 (21) op(e3, e2) = all_61_4
% 177.80/28.01
% 177.80/28.01 Begin of proof
% 177.80/28.01 |
% 177.80/28.01 | BETA: splitting (10) gives:
% 177.80/28.01 |
% 177.80/28.01 | Case 1:
% 177.80/28.01 | |
% 177.80/28.01 | | (22) ~ (all_58_0 = e0)
% 177.80/28.01 | |
% 177.80/28.01 | | REDUCE: (5), (22) imply:
% 177.80/28.01 | | (23) ~ (all_52_0 = e0)
% 177.80/28.01 | |
% 177.80/28.01 | | BETA: splitting (2) gives:
% 177.80/28.01 | |
% 177.80/28.01 | | Case 1:
% 177.80/28.01 | | |
% 177.80/28.01 | | | (24) ~ (all_58_1 = e3)
% 177.80/28.01 | | |
% 177.80/28.01 | | | REDUCE: (16), (24) imply:
% 177.80/28.01 | | | (25) ~ (all_52_1 = e3)
% 177.80/28.01 | | |
% 177.80/28.01 | | | BETA: splitting (9) gives:
% 177.80/28.01 | | |
% 177.80/28.01 | | | Case 1:
% 177.80/28.01 | | | |
% 177.80/28.01 | | | | (26) ~ (all_58_0 = e2)
% 177.80/28.01 | | | |
% 177.80/28.01 | | | | REDUCE: (5), (26) imply:
% 177.80/28.01 | | | | (27) ~ (all_52_0 = e2)
% 177.80/28.01 | | | |
% 177.80/28.01 | | | | BETA: splitting (1) gives:
% 177.80/28.01 | | | |
% 177.80/28.01 | | | | Case 1:
% 177.80/28.01 | | | | |
% 177.80/28.01 | | | | | (28) all_56_0 = e3
% 177.80/28.01 | | | | |
% 177.80/28.01 | | | | | COMBINE_EQS: (20), (28) imply:
% 177.80/28.01 | | | | | (29) all_52_0 = e3
% 177.80/28.01 | | | | |
% 177.80/28.01 | | | | | SIMP: (29) implies:
% 177.80/28.01 | | | | | (30) all_52_0 = e3
% 177.80/28.01 | | | | |
% 177.80/28.01 | | | | | REDUCE: (3), (30) imply:
% 177.80/28.01 | | | | | (31) op(e3, e3) = unit
% 177.80/28.01 | | | | |
% 177.80/28.01 | | | | | GROUND_INST: instantiating (6) with e3, unit, e3, e3, simplifying with
% 177.80/28.01 | | | | | (14), (31) gives:
% 177.80/28.01 | | | | | (32) unit = e3
% 177.80/28.01 | | | | |
% 177.80/28.01 | | | | | REDUCE: (19), (32) imply:
% 177.80/28.01 | | | | | (33) $false
% 177.80/28.01 | | | | |
% 177.80/28.01 | | | | | CLOSE: (33) is inconsistent.
% 177.80/28.01 | | | | |
% 177.80/28.01 | | | | Case 2:
% 177.80/28.01 | | | | |
% 177.80/28.01 | | | | | (34) all_56_0 = e2 | all_56_0 = e1 | all_56_0 = e0
% 177.80/28.01 | | | | |
% 177.80/28.01 | | | | | REF_CLOSE: (8), (20), (23), (27), (34) are inconsistent by sub-proof
% 177.80/28.01 | | | | | #512.
% 177.80/28.01 | | | | |
% 177.80/28.01 | | | | End of split
% 177.80/28.01 | | | |
% 177.80/28.01 | | | Case 2:
% 177.80/28.01 | | | |
% 177.80/28.01 | | | | (35) all_58_1 = e3
% 177.80/28.01 | | | |
% 177.80/28.01 | | | | REF_CLOSE: (16), (25), (35) are inconsistent by sub-proof #511.
% 177.80/28.01 | | | |
% 177.80/28.01 | | | End of split
% 177.80/28.01 | | |
% 177.80/28.01 | | Case 2:
% 177.80/28.01 | | |
% 177.80/28.01 | | | (36) all_58_1 = e3
% 177.80/28.01 | | | (37) all_58_0 = e2
% 177.80/28.01 | | |
% 177.80/28.01 | | | REF_CLOSE: (3), (5), (6), (7), (11), (13), (15), (16), (17), (18), (21),
% 177.80/28.01 | | | (36), (37) are inconsistent by sub-proof #510.
% 177.80/28.01 | | |
% 177.80/28.01 | | End of split
% 177.80/28.01 | |
% 177.80/28.01 | Case 2:
% 177.80/28.01 | |
% 177.80/28.01 | | (38) all_58_3 = e3
% 177.80/28.01 | |
% 177.80/28.01 | | REF_CLOSE: (4), (12), (38) are inconsistent by sub-proof #509.
% 177.80/28.01 | |
% 177.80/28.01 | End of split
% 177.80/28.01 |
% 177.80/28.01 End of proof
% 177.80/28.01
% 177.80/28.01 Sub-proof #509 shows that the following formulas are inconsistent:
% 177.80/28.01 ----------------------------------------------------------------
% 177.80/28.01 (1) all_58_3 = all_52_3
% 177.80/28.01 (2) all_58_3 = e3
% 177.80/28.01 (3) ~ (all_52_3 = e3)
% 177.80/28.01
% 177.80/28.01 Begin of proof
% 177.80/28.01 |
% 177.80/28.01 | COMBINE_EQS: (1), (2) imply:
% 177.80/28.01 | (4) all_52_3 = e3
% 177.80/28.01 |
% 177.80/28.01 | SIMP: (4) implies:
% 177.80/28.01 | (5) all_52_3 = e3
% 177.80/28.01 |
% 177.80/28.01 | REDUCE: (3), (5) imply:
% 177.80/28.01 | (6) $false
% 177.80/28.01 |
% 177.80/28.01 | CLOSE: (6) is inconsistent.
% 177.80/28.01 |
% 177.80/28.01 End of proof
% 177.80/28.01
% 177.80/28.01 Sub-proof #510 shows that the following formulas are inconsistent:
% 177.80/28.01 ----------------------------------------------------------------
% 177.80/28.01 (1) op(e3, all_52_0) = unit
% 177.80/28.01 (2) all_58_0 = all_52_0
% 177.80/28.01 (3) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 177.80/28.01 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 177.80/28.01 (4) all_58_0 = e2
% 177.80/28.01 (5) op(all_61_4, e3) = all_65_4
% 177.80/28.01 (6) op(unit, e3) = e3
% 177.80/28.01 (7) op(e2, all_52_1) = unit
% 177.80/28.01 (8) ~ (all_61_4 = e3)
% 177.80/28.01 (9) all_58_1 = all_52_1
% 177.80/28.01 (10) all_58_1 = e3
% 177.80/28.01 (11) op(e2, e3) = all_61_1
% 177.80/28.01 (12) op(all_61_1, e3) = all_61_1
% 177.80/28.01 (13) op(e3, e2) = all_61_4
% 177.80/28.01
% 177.80/28.01 Begin of proof
% 177.80/28.01 |
% 177.80/28.01 | COMBINE_EQS: (2), (4) imply:
% 177.80/28.01 | (14) all_52_0 = e2
% 177.80/28.01 |
% 177.80/28.01 | SIMP: (14) implies:
% 177.80/28.01 | (15) all_52_0 = e2
% 177.80/28.01 |
% 177.80/28.01 | COMBINE_EQS: (9), (10) imply:
% 177.80/28.01 | (16) all_52_1 = e3
% 177.80/28.01 |
% 177.80/28.01 | SIMP: (16) implies:
% 177.80/28.01 | (17) all_52_1 = e3
% 177.80/28.01 |
% 177.80/28.01 | REDUCE: (1), (15) imply:
% 177.80/28.01 | (18) op(e3, e2) = unit
% 177.80/28.01 |
% 177.80/28.01 | REDUCE: (7), (17) imply:
% 177.80/28.01 | (19) op(e2, e3) = unit
% 177.80/28.01 |
% 177.80/28.01 | GROUND_INST: instantiating (3) with all_61_1, unit, e3, e2, simplifying with
% 177.80/28.01 | (11), (19) gives:
% 177.80/28.01 | (20) all_61_1 = unit
% 177.80/28.01 |
% 177.80/28.01 | GROUND_INST: instantiating (3) with all_61_4, unit, e2, e3, simplifying with
% 177.80/28.01 | (13), (18) gives:
% 177.80/28.01 | (21) all_61_4 = unit
% 177.80/28.01 |
% 177.80/28.01 | REDUCE: (8), (21) imply:
% 177.80/28.01 | (22) ~ (unit = e3)
% 177.80/28.01 |
% 177.80/28.01 | REDUCE: (12), (20) imply:
% 177.80/28.01 | (23) op(unit, e3) = unit
% 177.80/28.01 |
% 177.80/28.01 | REDUCE: (5), (21) imply:
% 177.80/28.01 | (24) op(unit, e3) = all_65_4
% 177.80/28.01 |
% 177.80/28.01 | GROUND_INST: instantiating (3) with e3, all_65_4, e3, unit, simplifying with
% 177.80/28.01 | (6), (24) gives:
% 177.80/28.01 | (25) all_65_4 = e3
% 177.80/28.01 |
% 177.80/28.01 | GROUND_INST: instantiating (3) with unit, all_65_4, e3, unit, simplifying with
% 177.80/28.01 | (23), (24) gives:
% 177.80/28.01 | (26) all_65_4 = unit
% 177.80/28.01 |
% 177.80/28.01 | COMBINE_EQS: (25), (26) imply:
% 177.80/28.01 | (27) unit = e3
% 177.80/28.01 |
% 177.80/28.01 | REDUCE: (22), (27) imply:
% 177.80/28.01 | (28) $false
% 177.80/28.01 |
% 177.80/28.01 | CLOSE: (28) is inconsistent.
% 177.80/28.01 |
% 177.80/28.01 End of proof
% 177.80/28.01
% 177.80/28.01 Sub-proof #511 shows that the following formulas are inconsistent:
% 177.80/28.01 ----------------------------------------------------------------
% 177.80/28.01 (1) all_58_1 = all_52_1
% 177.80/28.01 (2) all_58_1 = e3
% 177.80/28.01 (3) ~ (all_52_1 = e3)
% 177.80/28.01
% 177.80/28.01 Begin of proof
% 177.80/28.01 |
% 177.80/28.01 | COMBINE_EQS: (1), (2) imply:
% 177.80/28.01 | (4) all_52_1 = e3
% 177.80/28.01 |
% 177.80/28.01 | SIMP: (4) implies:
% 177.80/28.01 | (5) all_52_1 = e3
% 177.80/28.01 |
% 177.80/28.01 | REDUCE: (3), (5) imply:
% 177.80/28.01 | (6) $false
% 177.80/28.01 |
% 177.80/28.01 | CLOSE: (6) is inconsistent.
% 177.80/28.01 |
% 177.80/28.01 End of proof
% 177.80/28.01
% 177.80/28.01 Sub-proof #512 shows that the following formulas are inconsistent:
% 177.80/28.01 ----------------------------------------------------------------
% 177.80/28.01 (1) ~ (all_52_0 = e1)
% 177.80/28.01 (2) ~ (all_52_0 = e0)
% 177.80/28.01 (3) ~ (all_52_0 = e2)
% 177.80/28.01 (4) all_56_0 = e2 | all_56_0 = e1 | all_56_0 = e0
% 177.80/28.01 (5) all_56_0 = all_52_0
% 177.80/28.01
% 177.80/28.01 Begin of proof
% 177.80/28.01 |
% 177.80/28.01 | BETA: splitting (4) gives:
% 177.80/28.01 |
% 177.80/28.01 | Case 1:
% 177.80/28.01 | |
% 177.80/28.01 | | (6) all_56_0 = e2
% 177.80/28.01 | |
% 177.80/28.01 | | COMBINE_EQS: (5), (6) imply:
% 177.80/28.01 | | (7) all_52_0 = e2
% 177.80/28.01 | |
% 177.80/28.01 | | SIMP: (7) implies:
% 177.80/28.01 | | (8) all_52_0 = e2
% 177.80/28.01 | |
% 177.80/28.01 | | REDUCE: (3), (8) imply:
% 177.80/28.01 | | (9) $false
% 177.80/28.01 | |
% 177.80/28.01 | | CLOSE: (9) is inconsistent.
% 177.80/28.01 | |
% 177.80/28.01 | Case 2:
% 177.80/28.01 | |
% 177.80/28.01 | | (10) all_56_0 = e1 | all_56_0 = e0
% 177.80/28.01 | |
% 177.80/28.01 | | BETA: splitting (10) gives:
% 177.80/28.01 | |
% 177.80/28.01 | | Case 1:
% 177.80/28.01 | | |
% 177.80/28.01 | | | (11) all_56_0 = e1
% 177.80/28.01 | | |
% 177.80/28.01 | | | COMBINE_EQS: (5), (11) imply:
% 177.80/28.01 | | | (12) all_52_0 = e1
% 177.80/28.01 | | |
% 177.80/28.01 | | | SIMP: (12) implies:
% 177.80/28.01 | | | (13) all_52_0 = e1
% 177.80/28.01 | | |
% 177.80/28.01 | | | REDUCE: (1), (13) imply:
% 177.80/28.01 | | | (14) $false
% 177.80/28.01 | | |
% 177.80/28.01 | | | CLOSE: (14) is inconsistent.
% 177.80/28.01 | | |
% 177.80/28.01 | | Case 2:
% 177.80/28.01 | | |
% 177.80/28.01 | | | (15) all_56_0 = e0
% 177.80/28.01 | | |
% 177.80/28.01 | | | COMBINE_EQS: (5), (15) imply:
% 177.80/28.01 | | | (16) all_52_0 = e0
% 177.80/28.01 | | |
% 177.80/28.01 | | | SIMP: (16) implies:
% 177.80/28.01 | | | (17) all_52_0 = e0
% 177.80/28.01 | | |
% 177.80/28.01 | | | REDUCE: (2), (17) imply:
% 177.80/28.01 | | | (18) $false
% 177.80/28.01 | | |
% 177.80/28.01 | | | CLOSE: (18) is inconsistent.
% 177.80/28.01 | | |
% 177.80/28.01 | | End of split
% 177.80/28.01 | |
% 177.80/28.01 | End of split
% 177.80/28.01 |
% 177.80/28.01 End of proof
% 177.80/28.01
% 177.80/28.01 Sub-proof #513 shows that the following formulas are inconsistent:
% 177.80/28.01 ----------------------------------------------------------------
% 177.80/28.01 (1) all_63_5 = all_6_2
% 177.80/28.01 (2) all_63_5 = e3
% 177.80/28.01 (3) ~ (all_6_2 = e3)
% 177.80/28.01
% 177.80/28.01 Begin of proof
% 177.80/28.01 |
% 177.80/28.01 | COMBINE_EQS: (1), (2) imply:
% 177.80/28.01 | (4) all_6_2 = e3
% 177.80/28.01 |
% 177.80/28.01 | SIMP: (4) implies:
% 177.80/28.01 | (5) all_6_2 = e3
% 177.80/28.01 |
% 177.80/28.01 | REDUCE: (3), (5) imply:
% 177.80/28.01 | (6) $false
% 177.80/28.01 |
% 177.80/28.01 | CLOSE: (6) is inconsistent.
% 177.80/28.01 |
% 177.80/28.01 End of proof
% 177.80/28.01
% 177.80/28.01 Sub-proof #514 shows that the following formulas are inconsistent:
% 177.80/28.01 ----------------------------------------------------------------
% 177.80/28.01 (1) all_63_10 = all_4_2
% 177.80/28.01 (2) all_63_10 = e2
% 177.80/28.01 (3) ~ (all_4_2 = e2)
% 177.80/28.01
% 177.80/28.01 Begin of proof
% 177.80/28.01 |
% 177.80/28.01 | COMBINE_EQS: (1), (2) imply:
% 177.80/28.01 | (4) all_4_2 = e2
% 177.80/28.01 |
% 177.80/28.01 | SIMP: (4) implies:
% 177.80/28.01 | (5) all_4_2 = e2
% 177.80/28.01 |
% 177.80/28.01 | REDUCE: (3), (5) imply:
% 177.80/28.01 | (6) $false
% 177.80/28.01 |
% 177.80/28.01 | CLOSE: (6) is inconsistent.
% 177.80/28.01 |
% 177.80/28.01 End of proof
% 177.80/28.01
% 177.80/28.01 Sub-proof #515 shows that the following formulas are inconsistent:
% 177.80/28.01 ----------------------------------------------------------------
% 177.80/28.01 (1) all_63_10 = all_4_2
% 177.80/28.01 (2) all_63_10 = e3
% 177.80/28.01 (3) ~ (all_4_2 = e3)
% 177.80/28.01
% 177.80/28.01 Begin of proof
% 177.80/28.01 |
% 177.80/28.01 | COMBINE_EQS: (1), (2) imply:
% 177.80/28.01 | (4) all_4_2 = e3
% 177.80/28.01 |
% 177.80/28.01 | SIMP: (4) implies:
% 177.80/28.01 | (5) all_4_2 = e3
% 177.80/28.01 |
% 177.80/28.01 | REDUCE: (3), (5) imply:
% 177.80/28.01 | (6) $false
% 177.80/28.01 |
% 177.80/28.01 | CLOSE: (6) is inconsistent.
% 177.80/28.01 |
% 177.80/28.01 End of proof
% 177.80/28.01
% 177.80/28.01 Sub-proof #516 shows that the following formulas are inconsistent:
% 177.80/28.01 ----------------------------------------------------------------
% 177.80/28.01 (1) all_63_10 = e1 | all_63_10 = e0
% 177.80/28.01 (2) all_63_10 = all_4_2
% 177.80/28.01 (3) ~ (all_4_2 = e1)
% 177.80/28.01 (4) ~ (all_4_2 = e0)
% 177.80/28.01
% 177.80/28.01 Begin of proof
% 177.80/28.01 |
% 177.80/28.01 | BETA: splitting (1) gives:
% 177.80/28.01 |
% 177.80/28.01 | Case 1:
% 177.80/28.01 | |
% 177.80/28.01 | | (5) all_63_10 = e1
% 177.80/28.01 | |
% 177.80/28.01 | | COMBINE_EQS: (2), (5) imply:
% 177.80/28.01 | | (6) all_4_2 = e1
% 177.80/28.01 | |
% 177.80/28.01 | | REDUCE: (3), (6) imply:
% 177.80/28.01 | | (7) $false
% 177.80/28.01 | |
% 177.80/28.01 | | CLOSE: (7) is inconsistent.
% 177.80/28.01 | |
% 177.80/28.01 | Case 2:
% 177.80/28.01 | |
% 177.80/28.01 | | (8) all_63_10 = e0
% 177.80/28.01 | |
% 177.80/28.01 | | COMBINE_EQS: (2), (8) imply:
% 177.80/28.01 | | (9) all_4_2 = e0
% 177.80/28.01 | |
% 177.80/28.01 | | REDUCE: (4), (9) imply:
% 177.80/28.01 | | (10) $false
% 177.80/28.01 | |
% 177.80/28.01 | | CLOSE: (10) is inconsistent.
% 177.80/28.01 | |
% 177.80/28.01 | End of split
% 177.80/28.01 |
% 177.80/28.01 End of proof
% 177.80/28.01
% 177.80/28.01 Sub-proof #517 shows that the following formulas are inconsistent:
% 177.80/28.01 ----------------------------------------------------------------
% 177.80/28.01 (1) ~ (all_61_11 = e0)
% 177.80/28.01 (2) ~ (all_61_11 = e2)
% 177.80/28.01 (3) all_63_14 = all_61_11
% 177.80/28.01 (4) all_63_14 = e2 | all_63_14 = e1 | all_63_14 = e0
% 177.80/28.01 (5) ~ (all_61_11 = e1)
% 177.80/28.01
% 177.80/28.01 Begin of proof
% 177.80/28.01 |
% 177.80/28.01 | BETA: splitting (4) gives:
% 177.80/28.01 |
% 177.80/28.01 | Case 1:
% 177.80/28.01 | |
% 177.80/28.01 | | (6) all_63_14 = e2
% 177.80/28.01 | |
% 177.80/28.01 | | REF_CLOSE: (2), (3), (6) are inconsistent by sub-proof #520.
% 177.80/28.01 | |
% 177.80/28.01 | Case 2:
% 177.80/28.01 | |
% 177.80/28.01 | | (7) all_63_14 = e1 | all_63_14 = e0
% 177.80/28.01 | |
% 177.80/28.01 | | BETA: splitting (7) gives:
% 177.80/28.01 | |
% 177.80/28.01 | | Case 1:
% 177.80/28.01 | | |
% 177.80/28.01 | | | (8) all_63_14 = e1
% 177.80/28.01 | | |
% 177.80/28.01 | | | REF_CLOSE: (3), (5), (8) are inconsistent by sub-proof #519.
% 177.80/28.01 | | |
% 177.80/28.01 | | Case 2:
% 177.80/28.01 | | |
% 177.80/28.01 | | | (9) all_63_14 = e0
% 177.80/28.01 | | |
% 177.80/28.01 | | | REF_CLOSE: (1), (3), (9) are inconsistent by sub-proof #518.
% 177.80/28.01 | | |
% 177.80/28.01 | | End of split
% 177.80/28.01 | |
% 177.80/28.01 | End of split
% 177.80/28.01 |
% 177.80/28.01 End of proof
% 177.80/28.01
% 177.80/28.01 Sub-proof #518 shows that the following formulas are inconsistent:
% 177.80/28.01 ----------------------------------------------------------------
% 177.80/28.01 (1) all_63_14 = all_61_11
% 177.80/28.01 (2) all_63_14 = e0
% 177.80/28.01 (3) ~ (all_61_11 = e0)
% 177.80/28.01
% 177.80/28.01 Begin of proof
% 177.80/28.01 |
% 177.80/28.01 | COMBINE_EQS: (1), (2) imply:
% 177.80/28.01 | (4) all_61_11 = e0
% 177.80/28.01 |
% 177.80/28.01 | SIMP: (4) implies:
% 177.80/28.01 | (5) all_61_11 = e0
% 177.80/28.01 |
% 177.80/28.01 | REDUCE: (3), (5) imply:
% 177.80/28.01 | (6) $false
% 177.80/28.01 |
% 177.80/28.01 | CLOSE: (6) is inconsistent.
% 177.80/28.01 |
% 177.80/28.01 End of proof
% 177.80/28.01
% 177.80/28.01 Sub-proof #519 shows that the following formulas are inconsistent:
% 177.80/28.01 ----------------------------------------------------------------
% 177.80/28.01 (1) all_63_14 = all_61_11
% 177.80/28.01 (2) all_63_14 = e1
% 177.80/28.01 (3) ~ (all_61_11 = e1)
% 177.80/28.01
% 177.80/28.01 Begin of proof
% 177.80/28.01 |
% 177.80/28.01 | COMBINE_EQS: (1), (2) imply:
% 177.80/28.01 | (4) all_61_11 = e1
% 177.80/28.01 |
% 177.80/28.01 | SIMP: (4) implies:
% 177.80/28.01 | (5) all_61_11 = e1
% 177.80/28.01 |
% 177.80/28.01 | REDUCE: (3), (5) imply:
% 177.80/28.01 | (6) $false
% 177.80/28.01 |
% 177.80/28.01 | CLOSE: (6) is inconsistent.
% 177.80/28.01 |
% 177.80/28.01 End of proof
% 177.80/28.01
% 177.80/28.01 Sub-proof #520 shows that the following formulas are inconsistent:
% 177.80/28.01 ----------------------------------------------------------------
% 177.80/28.01 (1) all_63_14 = all_61_11
% 177.80/28.01 (2) all_63_14 = e2
% 177.80/28.01 (3) ~ (all_61_11 = e2)
% 177.80/28.01
% 177.80/28.01 Begin of proof
% 177.80/28.01 |
% 177.80/28.01 | COMBINE_EQS: (1), (2) imply:
% 177.80/28.01 | (4) all_61_11 = e2
% 177.80/28.01 |
% 177.80/28.01 | SIMP: (4) implies:
% 177.80/28.01 | (5) all_61_11 = e2
% 177.80/28.01 |
% 177.80/28.01 | REDUCE: (3), (5) imply:
% 177.80/28.01 | (6) $false
% 177.80/28.01 |
% 177.80/28.01 | CLOSE: (6) is inconsistent.
% 177.80/28.01 |
% 177.80/28.01 End of proof
% 177.80/28.01
% 177.80/28.01 Sub-proof #521 shows that the following formulas are inconsistent:
% 177.80/28.01 ----------------------------------------------------------------
% 177.80/28.01 (1) ~ (all_61_14 = e1)
% 177.80/28.01 (2) all_63_11 = all_61_14
% 177.80/28.01 (3) all_63_11 = e2 | all_63_11 = e1 | all_63_11 = e0
% 177.80/28.01 (4) ~ (all_61_14 = e2)
% 177.80/28.01 (5) ~ (all_61_14 = e0)
% 177.80/28.01
% 177.80/28.01 Begin of proof
% 177.80/28.01 |
% 177.80/28.01 | BETA: splitting (3) gives:
% 177.80/28.01 |
% 177.80/28.01 | Case 1:
% 177.80/28.01 | |
% 177.80/28.01 | | (6) all_63_11 = e2
% 177.80/28.01 | |
% 177.80/28.01 | | COMBINE_EQS: (2), (6) imply:
% 177.80/28.01 | | (7) all_61_14 = e2
% 177.80/28.01 | |
% 177.80/28.01 | | REDUCE: (4), (7) imply:
% 177.80/28.01 | | (8) $false
% 177.80/28.01 | |
% 177.80/28.01 | | CLOSE: (8) is inconsistent.
% 177.80/28.01 | |
% 177.80/28.01 | Case 2:
% 177.80/28.01 | |
% 177.80/28.01 | | (9) all_63_11 = e1 | all_63_11 = e0
% 177.80/28.01 | |
% 177.80/28.01 | | REF_CLOSE: (1), (2), (5), (9) are inconsistent by sub-proof #522.
% 177.80/28.01 | |
% 177.80/28.01 | End of split
% 177.80/28.01 |
% 177.80/28.01 End of proof
% 177.80/28.01
% 177.80/28.01 Sub-proof #522 shows that the following formulas are inconsistent:
% 177.80/28.01 ----------------------------------------------------------------
% 177.80/28.01 (1) all_63_11 = e1 | all_63_11 = e0
% 177.80/28.01 (2) all_63_11 = all_61_14
% 177.80/28.01 (3) ~ (all_61_14 = e1)
% 177.80/28.01 (4) ~ (all_61_14 = e0)
% 177.80/28.01
% 177.80/28.01 Begin of proof
% 177.80/28.01 |
% 177.80/28.01 | BETA: splitting (1) gives:
% 177.80/28.01 |
% 177.80/28.01 | Case 1:
% 177.80/28.01 | |
% 177.80/28.01 | | (5) all_63_11 = e1
% 177.80/28.01 | |
% 177.80/28.01 | | COMBINE_EQS: (2), (5) imply:
% 177.80/28.01 | | (6) all_61_14 = e1
% 177.80/28.01 | |
% 177.80/28.01 | | REDUCE: (3), (6) imply:
% 177.80/28.01 | | (7) $false
% 177.80/28.01 | |
% 177.80/28.01 | | CLOSE: (7) is inconsistent.
% 177.80/28.01 | |
% 177.80/28.01 | Case 2:
% 177.80/28.01 | |
% 177.80/28.01 | | (8) all_63_11 = e0
% 177.80/28.01 | |
% 177.80/28.01 | | COMBINE_EQS: (2), (8) imply:
% 177.80/28.01 | | (9) all_61_14 = e0
% 177.80/28.01 | |
% 177.80/28.01 | | REDUCE: (4), (9) imply:
% 177.80/28.01 | | (10) $false
% 177.80/28.01 | |
% 177.80/28.01 | | CLOSE: (10) is inconsistent.
% 177.80/28.01 | |
% 177.80/28.01 | End of split
% 177.80/28.01 |
% 177.80/28.01 End of proof
% 177.80/28.01
% 177.80/28.01 Sub-proof #523 shows that the following formulas are inconsistent:
% 177.80/28.01 ----------------------------------------------------------------
% 177.80/28.01 (1) all_63_13 = all_61_7
% 177.80/28.01 (2) all_63_13 = e0
% 177.80/28.01 (3) ~ (all_61_7 = e0)
% 177.80/28.01
% 177.80/28.01 Begin of proof
% 177.80/28.01 |
% 177.80/28.01 | COMBINE_EQS: (1), (2) imply:
% 177.80/28.02 | (4) all_61_7 = e0
% 177.80/28.02 |
% 177.80/28.02 | SIMP: (4) implies:
% 177.80/28.02 | (5) all_61_7 = e0
% 177.80/28.02 |
% 177.80/28.02 | REDUCE: (3), (5) imply:
% 177.80/28.02 | (6) $false
% 177.80/28.02 |
% 177.80/28.02 | CLOSE: (6) is inconsistent.
% 177.80/28.02 |
% 177.80/28.02 End of proof
% 177.80/28.02
% 177.80/28.02 Sub-proof #524 shows that the following formulas are inconsistent:
% 177.80/28.02 ----------------------------------------------------------------
% 177.80/28.02 (1) all_63_5 = e1 | all_63_5 = e0
% 177.80/28.02 (2) all_63_5 = all_6_2
% 177.80/28.02 (3) ~ (all_6_2 = e1)
% 177.80/28.02 (4) ~ (all_6_2 = e0)
% 177.80/28.02
% 177.80/28.02 Begin of proof
% 177.80/28.02 |
% 177.80/28.02 | BETA: splitting (1) gives:
% 177.80/28.02 |
% 177.80/28.02 | Case 1:
% 177.80/28.02 | |
% 177.80/28.02 | | (5) all_63_5 = e1
% 177.80/28.02 | |
% 177.80/28.02 | | COMBINE_EQS: (2), (5) imply:
% 177.80/28.02 | | (6) all_6_2 = e1
% 177.80/28.02 | |
% 177.80/28.02 | | REDUCE: (3), (6) imply:
% 177.80/28.02 | | (7) $false
% 177.80/28.02 | |
% 177.80/28.02 | | CLOSE: (7) is inconsistent.
% 177.80/28.02 | |
% 177.80/28.02 | Case 2:
% 177.80/28.02 | |
% 177.80/28.02 | | (8) all_63_5 = e0
% 177.80/28.02 | |
% 177.80/28.02 | | COMBINE_EQS: (2), (8) imply:
% 177.80/28.02 | | (9) all_6_2 = e0
% 177.80/28.02 | |
% 177.80/28.02 | | REDUCE: (4), (9) imply:
% 177.80/28.02 | | (10) $false
% 177.80/28.02 | |
% 177.80/28.02 | | CLOSE: (10) is inconsistent.
% 177.80/28.02 | |
% 177.80/28.02 | End of split
% 177.80/28.02 |
% 177.80/28.02 End of proof
% 177.80/28.02
% 177.80/28.02 Sub-proof #525 shows that the following formulas are inconsistent:
% 177.80/28.02 ----------------------------------------------------------------
% 177.80/28.02 (1) all_63_13 = all_61_7
% 177.80/28.02 (2) all_63_13 = e2
% 177.80/28.02 (3) ~ (all_61_7 = e2)
% 177.80/28.02
% 177.80/28.02 Begin of proof
% 177.80/28.02 |
% 177.80/28.02 | COMBINE_EQS: (1), (2) imply:
% 177.80/28.02 | (4) all_61_7 = e2
% 177.80/28.02 |
% 177.80/28.02 | SIMP: (4) implies:
% 177.80/28.02 | (5) all_61_7 = e2
% 177.80/28.02 |
% 177.80/28.02 | REDUCE: (3), (5) imply:
% 177.80/28.02 | (6) $false
% 177.80/28.02 |
% 177.80/28.02 | CLOSE: (6) is inconsistent.
% 177.80/28.02 |
% 177.80/28.02 End of proof
% 177.80/28.02
% 177.80/28.02 Sub-proof #526 shows that the following formulas are inconsistent:
% 177.80/28.02 ----------------------------------------------------------------
% 177.80/28.02 (1) all_63_13 = all_61_7
% 177.80/28.02 (2) all_63_13 = e3
% 177.80/28.02 (3) ~ (all_61_7 = e3)
% 177.80/28.02
% 177.80/28.02 Begin of proof
% 177.80/28.02 |
% 177.80/28.02 | COMBINE_EQS: (1), (2) imply:
% 177.80/28.02 | (4) all_61_7 = e3
% 177.80/28.02 |
% 177.80/28.02 | SIMP: (4) implies:
% 177.80/28.02 | (5) all_61_7 = e3
% 177.80/28.02 |
% 177.80/28.02 | REDUCE: (3), (5) imply:
% 177.80/28.02 | (6) $false
% 177.80/28.02 |
% 177.80/28.02 | CLOSE: (6) is inconsistent.
% 177.80/28.02 |
% 177.80/28.02 End of proof
% 177.80/28.02 % SZS output end Proof for theBenchmark
% 177.80/28.02
% 177.80/28.02 27449ms
%------------------------------------------------------------------------------